{"id":1,"expression_no_base_symbol":"⫓⪴(($2209$⋝⋈⪟$2783$⨵⪆$5242$∲⫓$5150$)⪄($6148$⫥∨⫟$1101$⇼⇔∾(⨈⫕$1463$)))","expression":"⫓⪴((⪎⋱⫍100C⋝⋈⪟⪎⋱⫍1361⨵⪆⪎⋱⫍2503∲⫓⪎⋱⫍2462)⪄(⪎⋱⫍2A4C⫥∨⫟⪎⋱⫍669⇼⇔∾(⨈⫕⪎⋱⫍887)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":643,"operation_count":8,"complexity_ratio":80.375,"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":2209,"base":13},"right_expr":{"type":"numeric_atoms","value":2783,"base":13}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":5242,"base":13},"right_expr":{"type":"numeric_atoms","value":5150,"base":13}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":6148,"base":13},"right_expr":{"type":"numeric_atoms","value":1101,"base":13}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":1463,"base":13}}}}},"used_operators":["eLxqMNBOBk","SUmda5xLS4","2DQ55sFlQl","2DDjHMKMc0","i8ToyICDmI","tifHPKVTfV","KYD54nUTWz","megm06wKyl"],"dependent_operators":["9HNa5Wba9A","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2209","layer":4},{"info":"number node, value=2783","layer":4},{"info":"compute binary expreesion, left_input=2209, right_input=2783, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2209","layer":3},{"info":"number node, value=5242","layer":4},{"info":"number node, value=5150","layer":4},{"info":"compute binary expreesion, left_input=5242, right_input=5150, 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=2209, right_input=0, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=6148","layer":4},{"info":"number node, value=1101","layer":4},{"info":"compute binary expreesion, left_input=6148, right_input=1101, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=1463","layer":4},{"info":"compute unary expreesion, input=1463, 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 = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⫓⪴((⪎⋱⫍100C⋝⋈⪟⪎⋱⫍1361⨵⪆⪎⋱⫍2503∲⫓⪎⋱⫍2462)⪄(⪎⋱⫍2A4C⫥∨⫟⪎⋱⫍669⇼⇔∾(⨈⫕⪎⋱⫍887)))=NaN","reverse_text":"NaN=⫓⪴((⪎⋱⫍100C⋝⋈⪟⪎⋱⫍1361⨵⪆⪎⋱⫍2503∲⫓⪎⋱⫍2462)⪄(⪎⋱⫍2A4C⫥∨⫟⪎⋱⫍669⇼⇔∾(⨈⫕⪎⋱⫍887)))","cot":[{"info":"⪎⋱⫍100C⋝⋈⪟⪎⋱⫍1361=⪎⋱⫍100C","layer":3},{"info":"⪎⋱⫍2503∲⫓⪎⋱⫍2462=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍100C⨵⪆⪎⋱⫍0=⪎⋱⫍C4","layer":2},{"info":"⪎⋱⫍2A4C⫥∨⫟⪎⋱⫍669=NaN","layer":3},{"info":"⨈⫕⪎⋱⫍887=⪎⋱⫍-18","layer":3},{"info":"NaN⇼⇔∾⪎⋱⫍-18=NaN","layer":2},{"info":"⪎⋱⫍C4⪄NaN=NaN","layer":1},{"info":"⫓⪴NaN=NaN","layer":0}]}
{"id":2,"expression_no_base_symbol":"((⨵≀≌($4011$*$1010$))∲⫓(($1152$⋷$2717$)⊘))⫌⩹⨱","expression":"((⨵≀≌(⪎⋱⫍1A97*⪎⋱⫍5C9))∲⫓((⪎⋱⫍6A8⋷⪎⋱⫍1310)⊘))⫌⩹⨱","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1043,"operation_count":6,"complexity_ratio":173.83333333333334,"tree":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":4011,"base":13},"right_expr":{"type":"numeric_atoms","value":1010,"base":13}}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1152,"base":13},"right_expr":{"type":"numeric_atoms","value":2717,"base":13}}}}},"used_operators":["EBcxylXtPf","i8ToyICDmI","srAu1WTS94","9HNa5Wba9A","gu96TGCTMs","23Mk6UjR3U"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","W4YGzv6Whe","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍-505CC14","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4011","layer":4},{"info":"number node, value=1010","layer":4},{"info":"compute binary expreesion, left_input=4011, right_input=1010, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=4051110","layer":3},{"info":"compute unary expreesion, input=4051110, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-12153330","layer":2},{"info":"number node, value=1152","layer":4},{"info":"number node, value=2717","layer":4},{"info":"compute binary expreesion, left_input=1152, right_input=2717, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=4282","layer":3},{"info":"compute unary expreesion, input=4282, 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=-12153330, right_input=0, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=-12153330","layer":1},{"info":"compute unary expreesion, input=-12153330, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=-24305259","layer":0}],"base":13,"result_base":13,"text":"((⨵≀≌(⪎⋱⫍1A97*⪎⋱⫍5C9))∲⫓((⪎⋱⫍6A8⋷⪎⋱⫍1310)⊘))⫌⩹⨱=⪎⋱⫍-505CC14","reverse_text":"⪎⋱⫍-505CC14=((⨵≀≌(⪎⋱⫍1A97*⪎⋱⫍5C9))∲⫓((⪎⋱⫍6A8⋷⪎⋱⫍1310)⊘))⫌⩹⨱","cot":[{"info":"⪎⋱⫍1A97*⪎⋱⫍5C9=⪎⋱⫍ABAC0B","layer":3},{"info":"⨵≀≌⪎⋱⫍ABAC0B=⪎⋱⫍-2696A27","layer":2},{"info":"⪎⋱⫍6A8⋷⪎⋱⫍1310=⪎⋱⫍1C45","layer":3},{"info":"⪎⋱⫍1C45⊘=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍-2696A27∲⫓⪎⋱⫍0=⪎⋱⫍-2696A27","layer":1},{"info":"⪎⋱⫍-2696A27⫌⩹⨱=⪎⋱⫍-505CC14","layer":0}]}
{"id":3,"expression_no_base_symbol":"(⇁⨣⪵($2052$⪒$2717$))↬($3958$⨽$6757$)≹⇙⪍(⊥$1696$)%((($1948$+$2912$)⪒($1956$⨵⪆$7817$))⇋≉)","expression":"(⇁⨣⪵(⪎⋱⫍C1B⪒⪎⋱⫍1310))↬(⪎⋱⫍1A56⨽⪎⋱⫍30CA)≹⇙⪍(⊥⪎⋱⫍A06)%(((⪎⋱⫍B6B+⪎⋱⫍1430)⪒(⪎⋱⫍B76⨵⪆⪎⋱⫍3734))⇋≉)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3983,"operation_count":11,"complexity_ratio":362.09090909090907,"tree":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2052,"base":13},"right_expr":{"type":"numeric_atoms","value":2717,"base":13}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":3958,"base":13},"right_expr":{"type":"numeric_atoms","value":6757,"base":13}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":1696,"base":13}}}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1948,"base":13},"right_expr":{"type":"numeric_atoms","value":2912,"base":13}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1956,"base":13},"right_expr":{"type":"numeric_atoms","value":7817,"base":13}}}}},"used_operators":["k8jYdgA6NY","B5M0gjZbta","inkyxCbjAn","f6k1SAg4EE","AHs5Up7iyr","8HhzD0ZcuI","Q3PJZHRvZv","XIabStNQrY","W4YGzv6Whe","2DQ55sFlQl"],"dependent_operators":["rysDP5nf3Z","rGHVDoGpnC","B5M0gjZbta","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","fu6greOZ01","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2052","layer":4},{"info":"number node, value=2717","layer":4},{"info":"compute binary expreesion, left_input=2052, right_input=2717, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4769","layer":3},{"info":"compute unary expreesion, input=-4769, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"number node, value=3958","layer":4},{"info":"number node, value=6757","layer":4},{"info":"compute binary expreesion, left_input=3958, right_input=6757, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-47016249","layer":3},{"info":"number node, value=1696","layer":4},{"info":"compute unary expreesion, input=1696, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-47016249, 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 = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=1948","layer":4},{"info":"number node, value=2912","layer":4},{"info":"compute binary expreesion, left_input=1948, right_input=2912, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4860","layer":3},{"info":"number node, value=1956","layer":4},{"info":"number node, value=7817","layer":4},{"info":"compute binary expreesion, left_input=1956, right_input=7817, 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=4860, right_input=160, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5020","layer":2},{"info":"compute unary expreesion, input=-5020, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=-10138","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-10138, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⇁⨣⪵(⪎⋱⫍C1B⪒⪎⋱⫍1310))↬(⪎⋱⫍1A56⨽⪎⋱⫍30CA)≹⇙⪍(⊥⪎⋱⫍A06)%(((⪎⋱⫍B6B+⪎⋱⫍1430)⪒(⪎⋱⫍B76⨵⪆⪎⋱⫍3734))⇋≉)=NaN","reverse_text":"NaN=(⇁⨣⪵(⪎⋱⫍C1B⪒⪎⋱⫍1310))↬(⪎⋱⫍1A56⨽⪎⋱⫍30CA)≹⇙⪍(⊥⪎⋱⫍A06)%(((⪎⋱⫍B6B+⪎⋱⫍1430)⪒(⪎⋱⫍B76⨵⪆⪎⋱⫍3734))⇋≉)","cot":[{"info":"⪎⋱⫍C1B⪒⪎⋱⫍1310=⪎⋱⫍-222B","layer":3},{"info":"⇁⨣⪵⪎⋱⫍-222B=NaN","layer":2},{"info":"⪎⋱⫍1A56⨽⪎⋱⫍30CA=⪎⋱⫍-9982287","layer":3},{"info":"⊥⪎⋱⫍A06=NaN","layer":3},{"info":"⪎⋱⫍-9982287≹⇙⪍NaN=NaN","layer":2},{"info":"NaN↬NaN=NaN","layer":1},{"info":"⪎⋱⫍B6B+⪎⋱⫍1430=⪎⋱⫍229B","layer":3},{"info":"⪎⋱⫍B76⨵⪆⪎⋱⫍3734=⪎⋱⫍C4","layer":3},{"info":"⪎⋱⫍229B⪒⪎⋱⫍C4=⪎⋱⫍-2392","layer":2},{"info":"⪎⋱⫍-2392⇋≉=⪎⋱⫍-47CB","layer":1},{"info":"NaN%⪎⋱⫍-47CB=NaN","layer":0}]}
{"id":4,"expression_no_base_symbol":"($6681$⊉≛↸$2848$⪒$8691$⊉≛↸$2823$⫡⨏($1892$+⇶⊼$3137$)∼($4090$⫡⨏$9431$))⪠⩆⊳","expression":"(⪎⋱⫍306C⊉≛↸⪎⋱⫍13B1⪒⪎⋱⫍3C57⊉≛↸⪎⋱⫍1392⫡⨏(⪎⋱⫍B27+⇶⊼⪎⋱⫍1574)∼(⪎⋱⫍1B28⫡⨏⪎⋱⫍43A6))⪠⩆⊳","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":31,"operation_count":8,"complexity_ratio":3.875,"tree":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":6681,"base":13},"right_expr":{"type":"numeric_atoms","value":2848,"base":13}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":8691,"base":13},"right_expr":{"type":"numeric_atoms","value":2823,"base":13}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1892,"base":13},"right_expr":{"type":"numeric_atoms","value":3137,"base":13}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":4090,"base":13},"right_expr":{"type":"numeric_atoms","value":9431,"base":13}}}}},"used_operators":["JLbD19bQDL","QMFrweE19q","f6k1SAg4EE","DZ8iAZOCBD","DyGG3AbaNP","TpPTUOHfaN"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=6681","layer":4},{"info":"number node, value=2848","layer":4},{"info":"compute binary expreesion, left_input=6681, right_input=2848, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=13362","layer":3},{"info":"number node, value=8691","layer":4},{"info":"number node, value=2823","layer":4},{"info":"compute binary expreesion, left_input=8691, right_input=2823, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=17382","layer":3},{"info":"compute binary expreesion, left_input=13362, right_input=17382, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-30744","layer":2},{"info":"number node, value=1892","layer":4},{"info":"number node, value=3137","layer":4},{"info":"compute binary expreesion, left_input=1892, right_input=3137, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=4090","layer":4},{"info":"number node, value=9431","layer":4},{"info":"compute binary expreesion, left_input=4090, right_input=9431, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=40095","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=40095, 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=-30744, 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 = 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":13,"result_base":13,"text":"(⪎⋱⫍306C⊉≛↸⪎⋱⫍13B1⪒⪎⋱⫍3C57⊉≛↸⪎⋱⫍1392⫡⨏(⪎⋱⫍B27+⇶⊼⪎⋱⫍1574)∼(⪎⋱⫍1B28⫡⨏⪎⋱⫍43A6))⪠⩆⊳=NaN","reverse_text":"NaN=(⪎⋱⫍306C⊉≛↸⪎⋱⫍13B1⪒⪎⋱⫍3C57⊉≛↸⪎⋱⫍1392⫡⨏(⪎⋱⫍B27+⇶⊼⪎⋱⫍1574)∼(⪎⋱⫍1B28⫡⨏⪎⋱⫍43A6))⪠⩆⊳","cot":[{"info":"⪎⋱⫍306C⊉≛↸⪎⋱⫍13B1=⪎⋱⫍610B","layer":3},{"info":"⪎⋱⫍3C57⊉≛↸⪎⋱⫍1392=⪎⋱⫍7BB1","layer":3},{"info":"⪎⋱⫍610B⪒⪎⋱⫍7BB1=⪎⋱⫍-10CBC","layer":2},{"info":"⪎⋱⫍B27+⇶⊼⪎⋱⫍1574=NaN","layer":3},{"info":"⪎⋱⫍1B28⫡⨏⪎⋱⫍43A6=⪎⋱⫍15333","layer":3},{"info":"NaN∼⪎⋱⫍15333=NaN","layer":2},{"info":"⪎⋱⫍-10CBC⫡⨏NaN=NaN","layer":1},{"info":"NaN⪠⩆⊳=NaN","layer":0}]}
{"id":5,"expression_no_base_symbol":"(($5456$⨎$1010$)⪮%⊝($1538$⨰$3669$)⨰($4335$⨽$5520$⪨≂($1212$⫡⨏$1103$)))⪮%⊝(⋗⩬⋾($3618$-$2045$)∼(⨵≀≌$1294$))","expression":"((⪎⋱⫍2639⨎⪎⋱⫍5C9)⪮%⊝(⪎⋱⫍914⨰⪎⋱⫍1893)⨰(⪎⋱⫍1C86⨽⪎⋱⫍2688⪨≂(⪎⋱⫍723⫡⨏⪎⋱⫍66B)))⪮%⊝(⋗⩬⋾(⪎⋱⫍1854-⪎⋱⫍C14)∼(⨵≀≌⪎⋱⫍787))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4426,"operation_count":12,"complexity_ratio":368.8333333333333,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":5456,"base":13},"right_expr":{"type":"numeric_atoms","value":1010,"base":13}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1538,"base":13},"right_expr":{"type":"numeric_atoms","value":3669,"base":13}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":4335,"base":13},"right_expr":{"type":"numeric_atoms","value":5520,"base":13}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1212,"base":13},"right_expr":{"type":"numeric_atoms","value":1103,"base":13}}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":3618,"base":13},"right_expr":{"type":"numeric_atoms","value":2045,"base":13}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1294,"base":13}}}}},"used_operators":["IWmyXbctLI","eewbuw0ToL","rJVOvQCfKK","sdazOOVcIp","8HhzD0ZcuI","QMFrweE19q","DpFCA1CohY","DyGG3AbaNP","rysDP5nf3Z","srAu1WTS94"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5456","layer":4},{"info":"number node, value=1010","layer":4},{"info":"compute binary expreesion, left_input=5456, right_input=1010, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1010","layer":3},{"info":"number node, value=1538","layer":4},{"info":"number node, value=3669","layer":4},{"info":"compute binary expreesion, left_input=1538, right_input=3669, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-2121","layer":3},{"info":"compute binary expreesion, left_input=1010, right_input=-2121, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=2336","layer":2},{"info":"number node, value=4335","layer":4},{"info":"number node, value=5520","layer":4},{"info":"compute binary expreesion, left_input=4335, right_input=5520, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-56391921","layer":3},{"info":"number node, value=1212","layer":4},{"info":"number node, value=1103","layer":4},{"info":"compute binary expreesion, left_input=1212, right_input=1103, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=9049","layer":3},{"info":"compute binary expreesion, left_input=-56391921, right_input=9049, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-112801838","layer":2},{"info":"compute binary expreesion, left_input=2336, right_input=-112801838, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=112804184","layer":1},{"info":"number node, value=3618","layer":4},{"info":"number node, value=2045","layer":4},{"info":"compute binary expreesion, left_input=3618, right_input=2045, op_id = rysDP5nf3Z binary_op_definition= 'None', output=1573","layer":3},{"info":"number node, value=1294","layer":4},{"info":"compute unary expreesion, input=1294, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-3882","layer":3},{"info":"compute binary expreesion, left_input=1573, right_input=-3882, 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 = 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=112804184, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍2639⨎⪎⋱⫍5C9)⪮%⊝(⪎⋱⫍914⨰⪎⋱⫍1893)⨰(⪎⋱⫍1C86⨽⪎⋱⫍2688⪨≂(⪎⋱⫍723⫡⨏⪎⋱⫍66B)))⪮%⊝(⋗⩬⋾(⪎⋱⫍1854-⪎⋱⫍C14)∼(⨵≀≌⪎⋱⫍787))=NaN","reverse_text":"NaN=((⪎⋱⫍2639⨎⪎⋱⫍5C9)⪮%⊝(⪎⋱⫍914⨰⪎⋱⫍1893)⨰(⪎⋱⫍1C86⨽⪎⋱⫍2688⪨≂(⪎⋱⫍723⫡⨏⪎⋱⫍66B)))⪮%⊝(⋗⩬⋾(⪎⋱⫍1854-⪎⋱⫍C14)∼(⨵≀≌⪎⋱⫍787))","cot":[{"info":"⪎⋱⫍2639⨎⪎⋱⫍5C9=⪎⋱⫍5C9","layer":3},{"info":"⪎⋱⫍914⨰⪎⋱⫍1893=⪎⋱⫍-C72","layer":3},{"info":"⪎⋱⫍5C9⪮%⊝⪎⋱⫍-C72=⪎⋱⫍10A9","layer":2},{"info":"⪎⋱⫍1C86⨽⪎⋱⫍2688=⪎⋱⫍-B8B5901","layer":3},{"info":"⪎⋱⫍723⫡⨏⪎⋱⫍66B=⪎⋱⫍4171","layer":3},{"info":"⪎⋱⫍-B8B5901⪨≂⪎⋱⫍4171=⪎⋱⫍-1A4A6766","layer":2},{"info":"⪎⋱⫍10A9⨰⪎⋱⫍-1A4A6766=⪎⋱⫍1A4A784C","layer":1},{"info":"⪎⋱⫍1854-⪎⋱⫍C14=⪎⋱⫍940","layer":3},{"info":"⨵≀≌⪎⋱⫍787=⪎⋱⫍-19C8","layer":3},{"info":"⪎⋱⫍940∼⪎⋱⫍-19C8=NaN","layer":2},{"info":"⋗⩬⋾NaN=NaN","layer":1},{"info":"⪎⋱⫍1A4A784C⪮%⊝NaN=NaN","layer":0}]}
{"id":6,"expression_no_base_symbol":"((($1096$⪨≂$4879$)⪄$4806$⨰$2467$)⫸⊐((+⊝⨔$4495$)%$7817$⨽$4155$))⨟⋌⩍(($9291$⨵⪆$2948$)⨎($1917$⊘)⨐⩸⫘(⨵≀≌$2557$⩚⊴⇥$1459$))","expression":"(((⪎⋱⫍664⪨≂⪎⋱⫍22B4)⪄⪎⋱⫍2259⨰⪎⋱⫍117A)⫸⊐((+⊝⨔⪎⋱⫍207A)%⪎⋱⫍3734⨽⪎⋱⫍1B78))⨟⋌⩍((⪎⋱⫍42C9⨵⪆⪎⋱⫍145A)⨎(⪎⋱⫍B46⊘)⨐⩸⫘(⨵≀≌⪎⋱⫍1219⩚⊴⇥⪎⋱⫍883))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":12161,"operation_count":14,"complexity_ratio":868.6428571428571,"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":1096,"base":13},"right_expr":{"type":"numeric_atoms","value":4879,"base":13}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":4806,"base":13},"right_expr":{"type":"numeric_atoms","value":2467,"base":13}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":4495,"base":13}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":7817,"base":13},"right_expr":{"type":"numeric_atoms","value":4155,"base":13}}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":9291,"base":13},"right_expr":{"type":"numeric_atoms","value":2948,"base":13}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":1917,"base":13}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2557,"base":13},"right_expr":{"type":"numeric_atoms","value":1459,"base":13}}}}},"used_operators":["rGHVDoGpnC","mqXw5SEYmG","SUmda5xLS4","sdazOOVcIp","eewbuw0ToL","k8jYdgA6NY","DhbWaqg5eL","8HhzD0ZcuI","fu6greOZ01","rJVOvQCfKK","2DQ55sFlQl","gu96TGCTMs","srAu1WTS94","NTOWxs364D"],"dependent_operators":["Tcnh7f0tEr","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","3ViojmjbAp","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1096","layer":4},{"info":"number node, value=4879","layer":4},{"info":"compute binary expreesion, left_input=1096, right_input=4879, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-7464","layer":3},{"info":"number node, value=4806","layer":4},{"info":"number node, value=2467","layer":4},{"info":"compute binary expreesion, left_input=4806, right_input=2467, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=2349","layer":3},{"info":"compute binary expreesion, left_input=-7464, right_input=2349, 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=4495","layer":4},{"info":"compute unary expreesion, input=4495, 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=7817","layer":4},{"info":"number node, value=4155","layer":4},{"info":"compute binary expreesion, left_input=7817, right_input=4155, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-183327618","layer":3},{"info":"compute binary expreesion, left_input=1522, right_input=-183327618, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-183326096","layer":2},{"info":"compute binary expreesion, left_input=3979, right_input=-183326096, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=-366652321","layer":1},{"info":"number node, value=9291","layer":4},{"info":"number node, value=2948","layer":4},{"info":"compute binary expreesion, left_input=9291, right_input=2948, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=1917","layer":4},{"info":"compute unary expreesion, input=1917, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=0, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=0","layer":2},{"info":"number node, value=2557","layer":4},{"info":"number node, value=1459","layer":4},{"info":"compute binary expreesion, left_input=2557, right_input=1459, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4137","layer":3},{"info":"compute unary expreesion, input=-4137, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=17114769","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=17114769, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=-366652321, 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":13,"result_base":13,"text":"(((⪎⋱⫍664⪨≂⪎⋱⫍22B4)⪄⪎⋱⫍2259⨰⪎⋱⫍117A)⫸⊐((+⊝⨔⪎⋱⫍207A)%⪎⋱⫍3734⨽⪎⋱⫍1B78))⨟⋌⩍((⪎⋱⫍42C9⨵⪆⪎⋱⫍145A)⨎(⪎⋱⫍B46⊘)⨐⩸⫘(⨵≀≌⪎⋱⫍1219⩚⊴⇥⪎⋱⫍883))=NaN","reverse_text":"NaN=(((⪎⋱⫍664⪨≂⪎⋱⫍22B4)⪄⪎⋱⫍2259⨰⪎⋱⫍117A)⫸⊐((+⊝⨔⪎⋱⫍207A)%⪎⋱⫍3734⨽⪎⋱⫍1B78))⨟⋌⩍((⪎⋱⫍42C9⨵⪆⪎⋱⫍145A)⨎(⪎⋱⫍B46⊘)⨐⩸⫘(⨵≀≌⪎⋱⫍1219⩚⊴⇥⪎⋱⫍883))","cot":[{"info":"⪎⋱⫍664⪨≂⪎⋱⫍22B4=⪎⋱⫍-3522","layer":3},{"info":"⪎⋱⫍2259⨰⪎⋱⫍117A=⪎⋱⫍10B9","layer":3},{"info":"⪎⋱⫍-3522⪄⪎⋱⫍10B9=⪎⋱⫍1A71","layer":2},{"info":"+⊝⨔⪎⋱⫍207A=⪎⋱⫍901","layer":3},{"info":"⪎⋱⫍3734⨽⪎⋱⫍1B78=⪎⋱⫍-2BC9A6A6","layer":3},{"info":"⪎⋱⫍901%⪎⋱⫍-2BC9A6A6=⪎⋱⫍-2BC99AA5","layer":2},{"info":"⪎⋱⫍1A71⫸⊐⪎⋱⫍-2BC99AA5=⪎⋱⫍-5AC66949","layer":1},{"info":"⪎⋱⫍42C9⨵⪆⪎⋱⫍145A=⪎⋱⫍C4","layer":3},{"info":"⪎⋱⫍B46⊘=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍C4⨎⪎⋱⫍0=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍1219⩚⊴⇥⪎⋱⫍883=⪎⋱⫍-1B63","layer":3},{"info":"⨵≀≌⪎⋱⫍-1B63=⪎⋱⫍37130A9","layer":2},{"info":"⪎⋱⫍0⨐⩸⫘⪎⋱⫍37130A9=NaN","layer":1},{"info":"⪎⋱⫍-5AC66949⨟⋌⩍NaN=NaN","layer":0}]}
{"id":7,"expression_no_base_symbol":"((⪝⪂⫅($4268$⨎$4002$))⩤)⋷(⪝⪂⫅(≦∁(-$6705$)))","expression":"((⪝⪂⫅(⪎⋱⫍1C34⨎⪎⋱⫍1A8B))⩤)⋷(⪝⪂⫅(≦∁(-⪎⋱⫍308A)))","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":274,"operation_count":7,"complexity_ratio":39.142857142857146,"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":4268,"base":13},"right_expr":{"type":"numeric_atoms","value":4002,"base":13}}}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":6705,"base":13}}}}},"used_operators":["23Mk6UjR3U","Z2TMIBDE3Q","XTarYq4gQB","rJVOvQCfKK","9ICcGScMcE","t8gj7n24qd"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"⪎⋱⫍-183978","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4268","layer":4},{"info":"number node, value=4002","layer":4},{"info":"compute binary expreesion, left_input=4268, right_input=4002, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=4002","layer":3},{"info":"compute unary expreesion, input=4002, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-588294","layer":2},{"info":"compute unary expreesion, input=-588294, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=588294","layer":1},{"info":"number node, value=6705","layer":4},{"info":"compute unary expreesion, input=6705, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-6705","layer":3},{"info":"compute unary expreesion, input=-6705, 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 = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-9849","layer":1},{"info":"compute binary expreesion, left_input=588294, right_input=-9849, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-607992","layer":0}],"base":13,"result_base":13,"text":"((⪝⪂⫅(⪎⋱⫍1C34⨎⪎⋱⫍1A8B))⩤)⋷(⪝⪂⫅(≦∁(-⪎⋱⫍308A)))=⪎⋱⫍-183978","reverse_text":"⪎⋱⫍-183978=((⪝⪂⫅(⪎⋱⫍1C34⨎⪎⋱⫍1A8B))⩤)⋷(⪝⪂⫅(≦∁(-⪎⋱⫍308A)))","cot":[{"info":"⪎⋱⫍1C34⨎⪎⋱⫍1A8B=⪎⋱⫍1A8B","layer":3},{"info":"⪝⪂⫅⪎⋱⫍1A8B=⪎⋱⫍-177A05","layer":2},{"info":"⪎⋱⫍-177A05⩤=⪎⋱⫍177A05","layer":1},{"info":"-⪎⋱⫍308A=⪎⋱⫍-308A","layer":3},{"info":"≦∁⪎⋱⫍-308A=⪎⋱⫍52","layer":2},{"info":"⪝⪂⫅⪎⋱⫍52=⪎⋱⫍-4638","layer":1},{"info":"⪎⋱⫍177A05⋷⪎⋱⫍-4638=⪎⋱⫍-183978","layer":0}]}
{"id":8,"expression_no_base_symbol":"∂(($4819$⨽$1618$)⇷($1740$⨽$1507$))⊴(($1904$∲⫓$3754$)%(⊄⩳↩$1004$))","expression":"∂((⪎⋱⫍2269⨽⪎⋱⫍976)⇷(⪎⋱⫍A3B⨽⪎⋱⫍8BC))⊴((⪎⋱⫍B36∲⫓⪎⋱⫍192A)%(⊄⩳↩⪎⋱⫍5C3))","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":7016,"operation_count":8,"complexity_ratio":877.0,"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":4819,"base":13},"right_expr":{"type":"numeric_atoms","value":1618,"base":13}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1740,"base":13},"right_expr":{"type":"numeric_atoms","value":1507,"base":13}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1904,"base":13},"right_expr":{"type":"numeric_atoms","value":3754,"base":13}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1004,"base":13}}}}},"used_operators":["Uaa54Peajs","Nsiff2A1zJ","mp7IySMOzn","8HhzD0ZcuI","k8jYdgA6NY","i8ToyICDmI","8w2t5hMYqp"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","dWAJyo7jo9","14qkJME0vr","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍-113","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4819","layer":4},{"info":"number node, value=1618","layer":4},{"info":"compute binary expreesion, left_input=4819, right_input=1618, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-69671823","layer":3},{"info":"number node, value=1740","layer":4},{"info":"number node, value=1507","layer":4},{"info":"compute binary expreesion, left_input=1740, right_input=1507, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-9086007","layer":3},{"info":"compute binary expreesion, left_input=-69671823, right_input=-9086007, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"number node, value=1904","layer":4},{"info":"number node, value=3754","layer":4},{"info":"compute binary expreesion, left_input=1904, right_input=3754, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=1004","layer":4},{"info":"compute unary expreesion, input=1004, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-3012","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-3012, op_id = k8jYdgA6NY binary_op_definition= 'None', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=-79","layer":1},{"info":"compute unary expreesion, input=-79, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=-185","layer":0}],"base":13,"result_base":13,"text":"∂((⪎⋱⫍2269⨽⪎⋱⫍976)⇷(⪎⋱⫍A3B⨽⪎⋱⫍8BC))⊴((⪎⋱⫍B36∲⫓⪎⋱⫍192A)%(⊄⩳↩⪎⋱⫍5C3))=⪎⋱⫍-113","reverse_text":"⪎⋱⫍-113=∂((⪎⋱⫍2269⨽⪎⋱⫍976)⇷(⪎⋱⫍A3B⨽⪎⋱⫍8BC))⊴((⪎⋱⫍B36∲⫓⪎⋱⫍192A)%(⊄⩳↩⪎⋱⫍5C3))","cot":[{"info":"⪎⋱⫍2269⨽⪎⋱⫍976=⪎⋱⫍-11585340","layer":3},{"info":"⪎⋱⫍A3B⨽⪎⋱⫍8BC=⪎⋱⫍-1B61848","layer":3},{"info":"⪎⋱⫍-11585340⇷⪎⋱⫍-1B61848=NaN","layer":2},{"info":"⪎⋱⫍B36∲⫓⪎⋱⫍192A=⪎⋱⫍0","layer":3},{"info":"⊄⩳↩⪎⋱⫍5C3=⪎⋱⫍-14A9","layer":3},{"info":"⪎⋱⫍0%⪎⋱⫍-14A9=⪎⋱⫍0","layer":2},{"info":"NaN⊴⪎⋱⫍0=⪎⋱⫍-61","layer":1},{"info":"∂⪎⋱⫍-61=⪎⋱⫍-113","layer":0}]}
{"id":9,"expression_no_base_symbol":"($1656$↙$2110$)⪮%⊝($1954$⩨$1061$)⨵⪆((⩦⩻⨪$1506$)≋⫹)+$2450$⨳⩥⨓$1756$↙(∥⊫$1313$)⫸⊐($2574$⪄$6475$)⋓($1470$⩨$3560$)","expression":"(⪎⋱⫍9A5↙⪎⋱⫍C64)⪮%⊝(⪎⋱⫍B74⩨⪎⋱⫍638)⨵⪆((⩦⩻⨪⪎⋱⫍8BB)≋⫹)+⪎⋱⫍1166⨳⩥⨓⪎⋱⫍A51↙(∥⊫⪎⋱⫍7A0)⫸⊐(⪎⋱⫍1230⪄⪎⋱⫍2C41)⋓(⪎⋱⫍891⩨⪎⋱⫍180B)","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2259,"operation_count":14,"complexity_ratio":161.35714285714286,"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":1656,"base":13},"right_expr":{"type":"numeric_atoms","value":2110,"base":13}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1954,"base":13},"right_expr":{"type":"numeric_atoms","value":1061,"base":13}}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":1506,"base":13}}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2450,"base":13},"right_expr":{"type":"numeric_atoms","value":1756,"base":13}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":1313,"base":13}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2574,"base":13},"right_expr":{"type":"numeric_atoms","value":6475,"base":13}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1470,"base":13},"right_expr":{"type":"numeric_atoms","value":3560,"base":13}}}}},"used_operators":["W4YGzv6Whe","2DQ55sFlQl","IWmyXbctLI","yyfyN0ffXY","2DlMacCsIx","N41Kp7NANJ","2td37pGCOC","mqXw5SEYmG","nCS4ZIUYfx","P8v4zCKN1o","T2fj7uvVaJ","SUmda5xLS4"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","tmPS8pqC7x","DpFCA1CohY","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"⪎⋱⫍68A","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1656","layer":4},{"info":"number node, value=2110","layer":4},{"info":"compute binary expreesion, left_input=1656, right_input=2110, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-6330","layer":3},{"info":"number node, value=1954","layer":4},{"info":"number node, value=1061","layer":4},{"info":"compute binary expreesion, left_input=1954, right_input=1061, 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=-6330, right_input=0, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"number node, value=1506","layer":4},{"info":"compute unary expreesion, input=1506, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1506","layer":3},{"info":"compute unary expreesion, input=1506, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-3012","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-3012, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=2450","layer":4},{"info":"number node, value=1756","layer":4},{"info":"compute binary expreesion, left_input=2450, right_input=1756, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-694","layer":3},{"info":"number node, value=1313","layer":4},{"info":"compute unary expreesion, input=1313, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2181","layer":3},{"info":"compute binary expreesion, left_input=-694, right_input=2181, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-694","layer":2},{"info":"number node, value=2574","layer":4},{"info":"number node, value=6475","layer":4},{"info":"compute binary expreesion, left_input=2574, right_input=6475, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-402941","layer":3},{"info":"number node, value=1470","layer":4},{"info":"number node, value=3560","layer":4},{"info":"compute binary expreesion, left_input=1470, right_input=3560, 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=-402941, right_input=-6, op_id = T2fj7uvVaJ binary_op_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=-694, 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 binary expreesion, left_input=160, right_input=968, op_id = W4YGzv6Whe binary_op_definition= 'None', output=1128","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍9A5↙⪎⋱⫍C64)⪮%⊝(⪎⋱⫍B74⩨⪎⋱⫍638)⨵⪆((⩦⩻⨪⪎⋱⫍8BB)≋⫹)+⪎⋱⫍1166⨳⩥⨓⪎⋱⫍A51↙(∥⊫⪎⋱⫍7A0)⫸⊐(⪎⋱⫍1230⪄⪎⋱⫍2C41)⋓(⪎⋱⫍891⩨⪎⋱⫍180B)=⪎⋱⫍68A","reverse_text":"⪎⋱⫍68A=(⪎⋱⫍9A5↙⪎⋱⫍C64)⪮%⊝(⪎⋱⫍B74⩨⪎⋱⫍638)⨵⪆((⩦⩻⨪⪎⋱⫍8BB)≋⫹)+⪎⋱⫍1166⨳⩥⨓⪎⋱⫍A51↙(∥⊫⪎⋱⫍7A0)⫸⊐(⪎⋱⫍1230⪄⪎⋱⫍2C41)⋓(⪎⋱⫍891⩨⪎⋱⫍180B)","cot":[{"info":"⪎⋱⫍9A5↙⪎⋱⫍C64=⪎⋱⫍-2B5C","layer":3},{"info":"⪎⋱⫍B74⩨⪎⋱⫍638=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍-2B5C⪮%⊝⪎⋱⫍0=NaN","layer":2},{"info":"⩦⩻⨪⪎⋱⫍8BB=⪎⋱⫍8BB","layer":3},{"info":"⪎⋱⫍8BB≋⫹=⪎⋱⫍-14A9","layer":2},{"info":"NaN⨵⪆⪎⋱⫍-14A9=⪎⋱⫍C4","layer":1},{"info":"⪎⋱⫍1166⨳⩥⨓⪎⋱⫍A51=⪎⋱⫍-415","layer":3},{"info":"∥⊫⪎⋱⫍7A0=⪎⋱⫍CBA","layer":3},{"info":"⪎⋱⫍-415↙⪎⋱⫍CBA=⪎⋱⫍-415","layer":2},{"info":"⪎⋱⫍1230⪄⪎⋱⫍2C41=⪎⋱⫍-111536","layer":3},{"info":"⪎⋱⫍891⩨⪎⋱⫍180B=⪎⋱⫍-6","layer":3},{"info":"⪎⋱⫍-111536⋓⪎⋱⫍-6=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍-415⫸⊐⪎⋱⫍0=⪎⋱⫍596","layer":1},{"info":"⪎⋱⫍C4+⪎⋱⫍596=⪎⋱⫍68A","layer":0}]}
{"id":10,"expression_no_base_symbol":"((⫓⪴$1872$)⨸⪁(⇁⨣⪵$8817$)⨵⪆(≤/$1210$)∑⇟⊟($1379$≎⊠⪸$1794$))∑⇟⊟((⫓⪴$1569$)⋝⋈⪟$4608$∑⇟⊟$5284$⩚⊴⇥(↯⪼$1113$)⪛(↔$2408$))","expression":"((⫓⪴⪎⋱⫍B10)⨸⪁(⇁⨣⪵⪎⋱⫍4023)⨵⪆(≤/⪎⋱⫍721)∑⇟⊟(⪎⋱⫍821≎⊠⪸⪎⋱⫍A80))∑⇟⊟((⫓⪴⪎⋱⫍939)⋝⋈⪟⪎⋱⫍2136∑⇟⊟⪎⋱⫍2536⩚⊴⇥(↯⪼⪎⋱⫍678)⪛(↔⪎⋱⫍1133))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":3768,"operation_count":15,"complexity_ratio":251.2,"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":1872,"base":13}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":8817,"base":13}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1210,"base":13}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1379,"base":13},"right_expr":{"type":"numeric_atoms","value":1794,"base":13}}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":1569,"base":13}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":4608,"base":13},"right_expr":{"type":"numeric_atoms","value":5284,"base":13}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1113,"base":13}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":2408,"base":13}}}}},"used_operators":["U7g4x0WXJJ","2DQ55sFlQl","g55IO6H4Gj","eLxqMNBOBk","inkyxCbjAn","eLAdDNolq6","bJkvcejdHO","NTOWxs364D","2DDjHMKMc0","uFcxV4UQCh","8jW3W4yZS5","ruOEQAzv1W"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","9HNa5Wba9A","B5M0gjZbta","rysDP5nf3Z","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1872","layer":4},{"info":"compute unary expreesion, input=1872, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=3504384","layer":3},{"info":"number node, value=8817","layer":4},{"info":"compute unary expreesion, input=8817, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3504384, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":2},{"info":"number node, value=1210","layer":4},{"info":"compute unary expreesion, input=1210, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-726","layer":3},{"info":"number node, value=1379","layer":4},{"info":"number node, value=1794","layer":4},{"info":"compute binary expreesion, left_input=1379, right_input=1794, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=356688","layer":3},{"info":"compute binary expreesion, left_input=-726, right_input=356688, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=1569","layer":4},{"info":"compute unary expreesion, input=1569, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=2461761","layer":3},{"info":"number node, value=4608","layer":4},{"info":"number node, value=5284","layer":4},{"info":"compute binary expreesion, left_input=4608, right_input=5284, 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=2461761, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":2},{"info":"number node, value=1113","layer":4},{"info":"compute unary expreesion, input=1113, 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=2408","layer":4},{"info":"compute unary expreesion, input=2408, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-2135","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=-2135, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=-21","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-21, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⫓⪴⪎⋱⫍B10)⨸⪁(⇁⨣⪵⪎⋱⫍4023)⨵⪆(≤/⪎⋱⫍721)∑⇟⊟(⪎⋱⫍821≎⊠⪸⪎⋱⫍A80))∑⇟⊟((⫓⪴⪎⋱⫍939)⋝⋈⪟⪎⋱⫍2136∑⇟⊟⪎⋱⫍2536⩚⊴⇥(↯⪼⪎⋱⫍678)⪛(↔⪎⋱⫍1133))=NaN","reverse_text":"NaN=((⫓⪴⪎⋱⫍B10)⨸⪁(⇁⨣⪵⪎⋱⫍4023)⨵⪆(≤/⪎⋱⫍721)∑⇟⊟(⪎⋱⫍821≎⊠⪸⪎⋱⫍A80))∑⇟⊟((⫓⪴⪎⋱⫍939)⋝⋈⪟⪎⋱⫍2136∑⇟⊟⪎⋱⫍2536⩚⊴⇥(↯⪼⪎⋱⫍678)⪛(↔⪎⋱⫍1133))","cot":[{"info":"⫓⪴⪎⋱⫍B10=⪎⋱⫍959100","layer":3},{"info":"⇁⨣⪵⪎⋱⫍4023=NaN","layer":3},{"info":"⪎⋱⫍959100⨸⪁NaN=NaN","layer":2},{"info":"≤/⪎⋱⫍721=⪎⋱⫍-43B","layer":3},{"info":"⪎⋱⫍821≎⊠⪸⪎⋱⫍A80=⪎⋱⫍C6477","layer":3},{"info":"⪎⋱⫍-43B∑⇟⊟⪎⋱⫍C6477=NaN","layer":2},{"info":"NaN⨵⪆NaN=⪎⋱⫍C4","layer":1},{"info":"⫓⪴⪎⋱⫍939=⪎⋱⫍682683","layer":3},{"info":"⪎⋱⫍2136∑⇟⊟⪎⋱⫍2536=NaN","layer":3},{"info":"⪎⋱⫍682683⋝⋈⪟NaN=NaN","layer":2},{"info":"↯⪼⪎⋱⫍678=⪎⋱⫍-18","layer":3},{"info":"↔⪎⋱⫍1133=⪎⋱⫍-C83","layer":3},{"info":"⪎⋱⫍-18⪛⪎⋱⫍-C83=⪎⋱⫍-18","layer":2},{"info":"NaN⩚⊴⇥⪎⋱⫍-18=NaN","layer":1},{"info":"⪎⋱⫍C4∑⇟⊟NaN=NaN","layer":0}]}
{"id":11,"expression_no_base_symbol":"(($3895$⪢$1394$≫≃)⇼⇔∾($5489$⇼⇔∾$1330$)⋳⪒(⋗⩬⋾$4281$))∸","expression":"((⪎⋱⫍1A08⪢⪎⋱⫍833≫≃)⇼⇔∾(⪎⋱⫍2663⇼⇔∾⪎⋱⫍7B4)⋳⪒(⋗⩬⋾⪎⋱⫍1C44))∸","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1811,"operation_count":7,"complexity_ratio":258.7142857142857,"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":3895,"base":13},"right_expr":{"type":"numeric_atoms","value":1394,"base":13}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":5489,"base":13},"right_expr":{"type":"numeric_atoms","value":1330,"base":13}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":4281,"base":13}}}}},"used_operators":["o20kRiQErp","tifHPKVTfV","X99M06cbEe","dWAJyo7jo9","12rbrZMWeM","DpFCA1CohY"],"dependent_operators":["tmPS8pqC7x","rysDP5nf3Z","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍108","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3895","layer":4},{"info":"number node, value=1394","layer":4},{"info":"compute binary expreesion, left_input=3895, right_input=1394, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = 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=5489","layer":4},{"info":"number node, value=1330","layer":4},{"info":"compute binary expreesion, left_input=5489, right_input=1330, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-4159","layer":3},{"info":"number node, value=4281","layer":4},{"info":"compute unary expreesion, input=4281, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-12843","layer":3},{"info":"compute binary expreesion, left_input=-4159, right_input=-12843, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=4238","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=4238, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍1A08⪢⪎⋱⫍833≫≃)⇼⇔∾(⪎⋱⫍2663⇼⇔∾⪎⋱⫍7B4)⋳⪒(⋗⩬⋾⪎⋱⫍1C44))∸=⪎⋱⫍108","reverse_text":"⪎⋱⫍108=((⪎⋱⫍1A08⪢⪎⋱⫍833≫≃)⇼⇔∾(⪎⋱⫍2663⇼⇔∾⪎⋱⫍7B4)⋳⪒(⋗⩬⋾⪎⋱⫍1C44))∸","cot":[{"info":"⪎⋱⫍1A08⪢⪎⋱⫍833=NaN","layer":3},{"info":"NaN≫≃=NaN","layer":2},{"info":"⪎⋱⫍2663⇼⇔∾⪎⋱⫍7B4=⪎⋱⫍-1B7C","layer":3},{"info":"⋗⩬⋾⪎⋱⫍1C44=⪎⋱⫍-5ACC","layer":3},{"info":"⪎⋱⫍-1B7C⋳⪒⪎⋱⫍-5ACC=⪎⋱⫍1C10","layer":2},{"info":"NaN⇼⇔∾⪎⋱⫍1C10=NaN","layer":1},{"info":"NaN∸=⪎⋱⫍108","layer":0}]}
{"id":12,"expression_no_base_symbol":"((↽≂($1453$⪐))⪄(↣≠⋷$2337$)⇷($1250$-$2715$))⇋≉","expression":"((↽≂(⪎⋱⫍87A⪐))⪄(↣≠⋷⪎⋱⫍10AA)⇷(⪎⋱⫍752-⪎⋱⫍130B))⇋≉","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":113,"operation_count":7,"complexity_ratio":16.142857142857142,"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":1453,"base":13}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":2337,"base":13}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1250,"base":13},"right_expr":{"type":"numeric_atoms","value":2715,"base":13}}}}},"used_operators":["XIabStNQrY","SUmda5xLS4","u6S6b8DprG","eH2TOUuTDT","mp7IySMOzn","Asc51vEJeQ","rysDP5nf3Z"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","XhwjNDsVaA","AHs5Up7iyr"],"result":"⪎⋱⫍3768","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1453","layer":4},{"info":"compute unary expreesion, input=1453, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=2906","layer":3},{"info":"compute unary expreesion, input=2906, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-5812","layer":2},{"info":"number node, value=2337","layer":4},{"info":"compute unary expreesion, input=2337, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=1250","layer":4},{"info":"number node, value=2715","layer":4},{"info":"compute binary expreesion, left_input=1250, right_input=2715, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-1465","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1465, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-5812, 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 unary expreesion, input=3979, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=7860","layer":0}],"base":13,"result_base":13,"text":"((↽≂(⪎⋱⫍87A⪐))⪄(↣≠⋷⪎⋱⫍10AA)⇷(⪎⋱⫍752-⪎⋱⫍130B))⇋≉=⪎⋱⫍3768","reverse_text":"⪎⋱⫍3768=((↽≂(⪎⋱⫍87A⪐))⪄(↣≠⋷⪎⋱⫍10AA)⇷(⪎⋱⫍752-⪎⋱⫍130B))⇋≉","cot":[{"info":"⪎⋱⫍87A⪐=⪎⋱⫍1427","layer":3},{"info":"↽≂⪎⋱⫍1427=⪎⋱⫍-2851","layer":2},{"info":"↣≠⋷⪎⋱⫍10AA=NaN","layer":3},{"info":"⪎⋱⫍752-⪎⋱⫍130B=⪎⋱⫍-889","layer":3},{"info":"NaN⇷⪎⋱⫍-889=NaN","layer":2},{"info":"⪎⋱⫍-2851⪄NaN=⪎⋱⫍1A71","layer":1},{"info":"⪎⋱⫍1A71⇋≉=⪎⋱⫍3768","layer":0}]}
{"id":13,"expression_no_base_symbol":"(($1365$/$2980$)⫌⩹⨱)⪒(⨈⫕$1328$)∑⇟⊟(-$4093$)⪨≂($2348$+⇶⊼$2373$)⩷∴($3128$%$6196$)↺(($6244$≋⫹)↺($6751$⩨$1523$))","expression":"((⪎⋱⫍810/⪎⋱⫍1483)⫌⩹⨱)⪒(⨈⫕⪎⋱⫍7B2)∑⇟⊟(-⪎⋱⫍1B2B)⪨≂(⪎⋱⫍10B8+⇶⊼⪎⋱⫍1107)⩷∴(⪎⋱⫍1568%⪎⋱⫍2A88)↺((⪎⋱⫍2AC4≋⫹)↺(⪎⋱⫍30C4⩨⪎⋱⫍902))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":423,"operation_count":14,"complexity_ratio":30.214285714285715,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1365,"base":13},"right_expr":{"type":"numeric_atoms","value":2980,"base":13}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":1328,"base":13}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":4093,"base":13}}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2348,"base":13},"right_expr":{"type":"numeric_atoms","value":2373,"base":13}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":3128,"base":13},"right_expr":{"type":"numeric_atoms","value":6196,"base":13}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":6244,"base":13}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":6751,"base":13},"right_expr":{"type":"numeric_atoms","value":1523,"base":13}}}}},"used_operators":["sdazOOVcIp","f6k1SAg4EE","EBcxylXtPf","XhwjNDsVaA","U7g4x0WXJJ","megm06wKyl","t8gj7n24qd","7j4O788W3g","9FxExcQeMw","TpPTUOHfaN","k8jYdgA6NY","N41Kp7NANJ","2DlMacCsIx"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1365","layer":4},{"info":"number node, value=2980","layer":4},{"info":"compute binary expreesion, left_input=1365, right_input=2980, 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=1328","layer":4},{"info":"compute unary expreesion, input=1328, 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=4093","layer":4},{"info":"compute unary expreesion, input=4093, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-4093","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=-4093, 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=1401, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":1},{"info":"number node, value=2348","layer":4},{"info":"number node, value=2373","layer":4},{"info":"compute binary expreesion, left_input=2348, right_input=2373, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=3128","layer":4},{"info":"number node, value=6196","layer":4},{"info":"compute binary expreesion, left_input=3128, right_input=6196, op_id = k8jYdgA6NY binary_op_definition= 'None', output=3128","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3128, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":2},{"info":"number node, value=6244","layer":4},{"info":"compute unary expreesion, input=6244, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-12488","layer":3},{"info":"number node, value=6751","layer":4},{"info":"number node, value=1523","layer":4},{"info":"compute binary expreesion, left_input=6751, right_input=1523, 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=-12488, 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=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 = 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":13,"result_base":13,"text":"((⪎⋱⫍810/⪎⋱⫍1483)⫌⩹⨱)⪒(⨈⫕⪎⋱⫍7B2)∑⇟⊟(-⪎⋱⫍1B2B)⪨≂(⪎⋱⫍10B8+⇶⊼⪎⋱⫍1107)⩷∴(⪎⋱⫍1568%⪎⋱⫍2A88)↺((⪎⋱⫍2AC4≋⫹)↺(⪎⋱⫍30C4⩨⪎⋱⫍902))=NaN","reverse_text":"NaN=((⪎⋱⫍810/⪎⋱⫍1483)⫌⩹⨱)⪒(⨈⫕⪎⋱⫍7B2)∑⇟⊟(-⪎⋱⫍1B2B)⪨≂(⪎⋱⫍10B8+⇶⊼⪎⋱⫍1107)⩷∴(⪎⋱⫍1568%⪎⋱⫍2A88)↺((⪎⋱⫍2AC4≋⫹)↺(⪎⋱⫍30C4⩨⪎⋱⫍902))","cot":[{"info":"⪎⋱⫍810/⪎⋱⫍1483=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍0⫌⩹⨱=⪎⋱⫍83A","layer":2},{"info":"⨈⫕⪎⋱⫍7B2=⪎⋱⫍-18","layer":3},{"info":"-⪎⋱⫍1B2B=⪎⋱⫍-1B2B","layer":3},{"info":"⪎⋱⫍-18∑⇟⊟⪎⋱⫍-1B2B=NaN","layer":2},{"info":"⪎⋱⫍83A⪒NaN=NaN","layer":1},{"info":"⪎⋱⫍10B8+⇶⊼⪎⋱⫍1107=NaN","layer":3},{"info":"⪎⋱⫍1568%⪎⋱⫍2A88=⪎⋱⫍1568","layer":3},{"info":"NaN⩷∴⪎⋱⫍1568=NaN","layer":2},{"info":"⪎⋱⫍2AC4≋⫹=⪎⋱⫍-58B8","layer":3},{"info":"⪎⋱⫍30C4⩨⪎⋱⫍902=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍-58B8↺⪎⋱⫍0=⪎⋱⫍0","layer":2},{"info":"NaN↺⪎⋱⫍0=⪎⋱⫍0","layer":1},{"info":"NaN⪨≂⪎⋱⫍0=NaN","layer":0}]}
{"id":14,"expression_no_base_symbol":"($5219$+⇶⊼$1270$≭(⨈⫕$2918$)⫥∨⫟($6070$⊉≛↸$2193$)⨰(↩$1816$))≧⫂∧((≉(-$1155$))⫸⊐(↽≂$1757$)≭($2216$⩨$1121$))","expression":"(⪎⋱⫍24B6+⇶⊼⪎⋱⫍769≭(⨈⫕⪎⋱⫍1436)⫥∨⫟(⪎⋱⫍29BC⊉≛↸⪎⋱⫍CC9)⨰(↩⪎⋱⫍A99))≧⫂∧((≉(-⪎⋱⫍6AB))⫸⊐(↽≂⪎⋱⫍A52)≭(⪎⋱⫍1016⩨⪎⋱⫍683))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1084,"operation_count":14,"complexity_ratio":77.42857142857143,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":5219,"base":13},"right_expr":{"type":"numeric_atoms","value":1270,"base":13}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":2918,"base":13}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":6070,"base":13},"right_expr":{"type":"numeric_atoms","value":2193,"base":13}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":1816,"base":13}}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1155,"base":13}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":1757,"base":13}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2216,"base":13},"right_expr":{"type":"numeric_atoms","value":1121,"base":13}}}}},"used_operators":["Ph9nP6C5qx","KYD54nUTWz","rxpJgHHUmx","TpPTUOHfaN","megm06wKyl","eewbuw0ToL","DZ8iAZOCBD","jLgFTUHLKL","mqXw5SEYmG","e1ybzncUwg","t8gj7n24qd","u6S6b8DprG","2DlMacCsIx"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","AHs5Up7iyr","AHs5Up7iyr","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"⪎⋱⫍2C1","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5219","layer":4},{"info":"number node, value=1270","layer":4},{"info":"compute binary expreesion, left_input=5219, right_input=1270, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=2918","layer":4},{"info":"compute unary expreesion, input=2918, 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 = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=6070","layer":4},{"info":"number node, value=2193","layer":4},{"info":"compute binary expreesion, left_input=6070, right_input=2193, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=12140","layer":3},{"info":"number node, value=1816","layer":4},{"info":"compute unary expreesion, input=1816, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-11748","layer":3},{"info":"compute binary expreesion, left_input=12140, right_input=-11748, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=23898","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=23898, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=1155","layer":4},{"info":"compute unary expreesion, input=1155, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1155","layer":3},{"info":"compute unary expreesion, input=-1155, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=-1155","layer":2},{"info":"number node, value=1757","layer":4},{"info":"compute unary expreesion, input=1757, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-3514","layer":3},{"info":"number node, value=2216","layer":4},{"info":"number node, value=1121","layer":4},{"info":"compute binary expreesion, left_input=2216, right_input=1121, 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=-3514, 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=-1155, right_input=-22, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=968","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=968, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=495","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍24B6+⇶⊼⪎⋱⫍769≭(⨈⫕⪎⋱⫍1436)⫥∨⫟(⪎⋱⫍29BC⊉≛↸⪎⋱⫍CC9)⨰(↩⪎⋱⫍A99))≧⫂∧((≉(-⪎⋱⫍6AB))⫸⊐(↽≂⪎⋱⫍A52)≭(⪎⋱⫍1016⩨⪎⋱⫍683))=⪎⋱⫍2C1","reverse_text":"⪎⋱⫍2C1=(⪎⋱⫍24B6+⇶⊼⪎⋱⫍769≭(⨈⫕⪎⋱⫍1436)⫥∨⫟(⪎⋱⫍29BC⊉≛↸⪎⋱⫍CC9)⨰(↩⪎⋱⫍A99))≧⫂∧((≉(-⪎⋱⫍6AB))⫸⊐(↽≂⪎⋱⫍A52)≭(⪎⋱⫍1016⩨⪎⋱⫍683))","cot":[{"info":"⪎⋱⫍24B6+⇶⊼⪎⋱⫍769=NaN","layer":3},{"info":"⨈⫕⪎⋱⫍1436=⪎⋱⫍-18","layer":3},{"info":"NaN≭⪎⋱⫍-18=NaN","layer":2},{"info":"⪎⋱⫍29BC⊉≛↸⪎⋱⫍CC9=⪎⋱⫍56AB","layer":3},{"info":"↩⪎⋱⫍A99=⪎⋱⫍-5469","layer":3},{"info":"⪎⋱⫍56AB⨰⪎⋱⫍-5469=⪎⋱⫍AB54","layer":2},{"info":"NaN⫥∨⫟⪎⋱⫍AB54=NaN","layer":1},{"info":"-⪎⋱⫍6AB=⪎⋱⫍-6AB","layer":3},{"info":"≉⪎⋱⫍-6AB=⪎⋱⫍-6AB","layer":2},{"info":"↽≂⪎⋱⫍A52=⪎⋱⫍-17A4","layer":3},{"info":"⪎⋱⫍1016⩨⪎⋱⫍683=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍-17A4≭⪎⋱⫍0=⪎⋱⫍-19","layer":2},{"info":"⪎⋱⫍-6AB⫸⊐⪎⋱⫍-19=⪎⋱⫍596","layer":1},{"info":"NaN≧⫂∧⪎⋱⫍596=⪎⋱⫍2C1","layer":0}]}
{"id":15,"expression_no_base_symbol":"↣≠⋷(($1834$⨟⋌⩍$3017$+(-$1200$))∀⇚≩(⇁⨣⪵$6607$)≹⇙⪍($4155$⨪↰⇹$3925$))","expression":"↣≠⋷((⪎⋱⫍AB1⨟⋌⩍⪎⋱⫍14B1+(-⪎⋱⫍714))∀⇚≩(⇁⨣⪵⪎⋱⫍3013)≹⇙⪍(⪎⋱⫍1B78⨪↰⇹⪎⋱⫍1A2C))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":4164,"operation_count":8,"complexity_ratio":520.5,"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":1834,"base":13},"right_expr":{"type":"numeric_atoms","value":3017,"base":13}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1200,"base":13}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":6607,"base":13}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":4155,"base":13},"right_expr":{"type":"numeric_atoms","value":3925,"base":13}}}}},"used_operators":["Asc51vEJeQ","LRNGc0VcxI","W4YGzv6Whe","rGHVDoGpnC","t8gj7n24qd","AHs5Up7iyr","inkyxCbjAn","tmPS8pqC7x"],"dependent_operators":["XhwjNDsVaA","AHs5Up7iyr","X99M06cbEe","Tcnh7f0tEr","dWAJyo7jo9","B5M0gjZbta","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1834","layer":4},{"info":"number node, value=3017","layer":4},{"info":"compute binary expreesion, left_input=1834, right_input=3017, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=1200","layer":4},{"info":"compute unary expreesion, input=1200, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1200","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1200, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=6607","layer":4},{"info":"compute unary expreesion, input=6607, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=4155","layer":4},{"info":"number node, value=3925","layer":4},{"info":"compute binary expreesion, left_input=4155, right_input=3925, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=4155","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4155, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"↣≠⋷((⪎⋱⫍AB1⨟⋌⩍⪎⋱⫍14B1+(-⪎⋱⫍714))∀⇚≩(⇁⨣⪵⪎⋱⫍3013)≹⇙⪍(⪎⋱⫍1B78⨪↰⇹⪎⋱⫍1A2C))=NaN","reverse_text":"NaN=↣≠⋷((⪎⋱⫍AB1⨟⋌⩍⪎⋱⫍14B1+(-⪎⋱⫍714))∀⇚≩(⇁⨣⪵⪎⋱⫍3013)≹⇙⪍(⪎⋱⫍1B78⨪↰⇹⪎⋱⫍1A2C))","cot":[{"info":"⪎⋱⫍AB1⨟⋌⩍⪎⋱⫍14B1=NaN","layer":3},{"info":"-⪎⋱⫍714=⪎⋱⫍-714","layer":3},{"info":"NaN+⪎⋱⫍-714=NaN","layer":2},{"info":"⇁⨣⪵⪎⋱⫍3013=NaN","layer":3},{"info":"⪎⋱⫍1B78⨪↰⇹⪎⋱⫍1A2C=⪎⋱⫍1B78","layer":3},{"info":"NaN≹⇙⪍⪎⋱⫍1B78=NaN","layer":2},{"info":"NaN∀⇚≩NaN=NaN","layer":1},{"info":"↣≠⋷NaN=NaN","layer":0}]}
{"id":16,"expression_no_base_symbol":"($8148$⨰$1559$≧⫂∧($7218$≋⫹)≣⋋)+⇶⊼(⨞⊢(($4938$⨵⪆$5789$)⊪))","expression":"(⪎⋱⫍392A⨰⪎⋱⫍92C≧⫂∧(⪎⋱⫍3393≋⫹)≣⋋)+⇶⊼(⨞⊢((⪎⋱⫍232B⨵⪆⪎⋱⫍2834)⊪))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":562,"operation_count":8,"complexity_ratio":70.25,"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":8148,"base":13},"right_expr":{"type":"numeric_atoms","value":1559,"base":13}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":7218,"base":13}}}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":4938,"base":13},"right_expr":{"type":"numeric_atoms","value":5789,"base":13}}}}},"used_operators":["TpPTUOHfaN","Tcnh7f0tEr","Ph9nP6C5qx","eewbuw0ToL","N41Kp7NANJ","xUOZtlo3hN","zVYPLywUTj","2DQ55sFlQl"],"dependent_operators":["AHs5Up7iyr","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=8148","layer":4},{"info":"number node, value=1559","layer":4},{"info":"compute binary expreesion, left_input=8148, right_input=1559, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=6599","layer":3},{"info":"number node, value=7218","layer":4},{"info":"compute unary expreesion, input=7218, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-14436","layer":3},{"info":"compute binary expreesion, left_input=6599, right_input=-14436, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=21035","layer":2},{"info":"compute unary expreesion, input=21035, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":1},{"info":"number node, value=4938","layer":4},{"info":"number node, value=5789","layer":4},{"info":"compute binary expreesion, left_input=4938, right_input=5789, 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 = 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 = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-174","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-174, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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":13,"result_base":13,"text":"(⪎⋱⫍392A⨰⪎⋱⫍92C≧⫂∧(⪎⋱⫍3393≋⫹)≣⋋)+⇶⊼(⨞⊢((⪎⋱⫍232B⨵⪆⪎⋱⫍2834)⊪))=NaN","reverse_text":"NaN=(⪎⋱⫍392A⨰⪎⋱⫍92C≧⫂∧(⪎⋱⫍3393≋⫹)≣⋋)+⇶⊼(⨞⊢((⪎⋱⫍232B⨵⪆⪎⋱⫍2834)⊪))","cot":[{"info":"⪎⋱⫍392A⨰⪎⋱⫍92C=⪎⋱⫍3008","layer":3},{"info":"⪎⋱⫍3393≋⫹=⪎⋱⫍-6756","layer":3},{"info":"⪎⋱⫍3008≧⫂∧⪎⋱⫍-6756=⪎⋱⫍9761","layer":2},{"info":"⪎⋱⫍9761≣⋋=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍232B⨵⪆⪎⋱⫍2834=⪎⋱⫍C4","layer":3},{"info":"⪎⋱⫍C4⊪=⪎⋱⫍0","layer":2},{"info":"⨞⊢⪎⋱⫍0=⪎⋱⫍-105","layer":1},{"info":"⪎⋱⫍0+⇶⊼⪎⋱⫍-105=NaN","layer":0}]}
{"id":17,"expression_no_base_symbol":"⊄⩳↩(($3102$⫥∨⫟$1546$)⨓$1569$⪢$4857$⫥∨⫟(≉(↽≂$1347$)))","expression":"⊄⩳↩((⪎⋱⫍1548⫥∨⫟⪎⋱⫍91C)⨓⪎⋱⫍939⪢⪎⋱⫍2298⫥∨⫟(≉(↽≂⪎⋱⫍7C8)))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":5179,"operation_count":7,"complexity_ratio":739.8571428571429,"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":3102,"base":13},"right_expr":{"type":"numeric_atoms","value":1546,"base":13}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1569,"base":13},"right_expr":{"type":"numeric_atoms","value":4857,"base":13}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":1347,"base":13}}}}},"used_operators":["8w2t5hMYqp","KYD54nUTWz","3ViojmjbAp","dWAJyo7jo9","e1ybzncUwg","u6S6b8DprG"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3102","layer":4},{"info":"number node, value=1546","layer":4},{"info":"compute binary expreesion, left_input=3102, right_input=1546, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=1569","layer":4},{"info":"number node, value=4857","layer":4},{"info":"compute binary expreesion, left_input=1569, right_input=4857, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":2},{"info":"number node, value=1347","layer":4},{"info":"compute unary expreesion, input=1347, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-2694","layer":3},{"info":"compute unary expreesion, input=-2694, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=-2694","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-2694, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⊄⩳↩((⪎⋱⫍1548⫥∨⫟⪎⋱⫍91C)⨓⪎⋱⫍939⪢⪎⋱⫍2298⫥∨⫟(≉(↽≂⪎⋱⫍7C8)))=NaN","reverse_text":"NaN=⊄⩳↩((⪎⋱⫍1548⫥∨⫟⪎⋱⫍91C)⨓⪎⋱⫍939⪢⪎⋱⫍2298⫥∨⫟(≉(↽≂⪎⋱⫍7C8)))","cot":[{"info":"⪎⋱⫍1548⫥∨⫟⪎⋱⫍91C=NaN","layer":3},{"info":"⪎⋱⫍939⪢⪎⋱⫍2298=NaN","layer":3},{"info":"NaN⨓NaN=NaN","layer":2},{"info":"↽≂⪎⋱⫍7C8=⪎⋱⫍-12C3","layer":3},{"info":"≉⪎⋱⫍-12C3=⪎⋱⫍-12C3","layer":2},{"info":"NaN⫥∨⫟⪎⋱⫍-12C3=NaN","layer":1},{"info":"⊄⩳↩NaN=NaN","layer":0}]}
{"id":18,"expression_no_base_symbol":"(($4254$⨪↰⇹$2593$≧⫂∧($1013$⊦⊿))⊪)⊭∹↮","expression":"((⪎⋱⫍1C23⨪↰⇹⪎⋱⫍1246≧⫂∧(⪎⋱⫍5CC⊦⊿))⊪)⊭∹↮","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":4296,"operation_count":5,"complexity_ratio":859.2,"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":4254,"base":13},"right_expr":{"type":"numeric_atoms","value":2593,"base":13}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":1013,"base":13}}}}},"used_operators":["xNBdhnnwKq","zVYPLywUTj","Ph9nP6C5qx","tmPS8pqC7x","14qkJME0vr"],"dependent_operators":["2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4254","layer":4},{"info":"number node, value=2593","layer":4},{"info":"compute binary expreesion, left_input=4254, right_input=2593, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=4254","layer":3},{"info":"number node, value=1013","layer":4},{"info":"compute unary expreesion, input=1013, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-3118","layer":3},{"info":"compute binary expreesion, left_input=4254, right_input=-3118, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=7372","layer":2},{"info":"compute unary expreesion, input=7372, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=0","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍1C23⨪↰⇹⪎⋱⫍1246≧⫂∧(⪎⋱⫍5CC⊦⊿))⊪)⊭∹↮=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=((⪎⋱⫍1C23⨪↰⇹⪎⋱⫍1246≧⫂∧(⪎⋱⫍5CC⊦⊿))⊪)⊭∹↮","cot":[{"info":"⪎⋱⫍1C23⨪↰⇹⪎⋱⫍1246=⪎⋱⫍1C23","layer":3},{"info":"⪎⋱⫍5CC⊦⊿=⪎⋱⫍-155B","layer":3},{"info":"⪎⋱⫍1C23≧⫂∧⪎⋱⫍-155B=⪎⋱⫍3481","layer":2},{"info":"⪎⋱⫍3481⊪=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍0⊭∹↮=⪎⋱⫍0","layer":0}]}
{"id":19,"expression_no_base_symbol":"(⊙↵-((⨞⊢$6967$)/$1018$*$6766$))⊉≛↸((⊄⩳↩$2551$)⨓($3477$∑⇟⊟$7838$)⫡⨏($1672$⪄$1758$)≭($6047$⨵⪆$3690$))","expression":"(⊙↵-((⨞⊢⪎⋱⫍322C)/⪎⋱⫍604*⪎⋱⫍3106))⊉≛↸((⊄⩳↩⪎⋱⫍1213)⨓(⪎⋱⫍1776∑⇟⊟⪎⋱⫍374C)⫡⨏(⪎⋱⫍9B8⪄⪎⋱⫍A53)≭(⪎⋱⫍29A2⨵⪆⪎⋱⫍18AB))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1165,"operation_count":12,"complexity_ratio":97.08333333333333,"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":6967,"base":13}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1018,"base":13},"right_expr":{"type":"numeric_atoms","value":6766,"base":13}}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":2551,"base":13}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":3477,"base":13},"right_expr":{"type":"numeric_atoms","value":7838,"base":13}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1672,"base":13},"right_expr":{"type":"numeric_atoms","value":1758,"base":13}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":6047,"base":13},"right_expr":{"type":"numeric_atoms","value":3690,"base":13}}}}},"used_operators":["DZ8iAZOCBD","oWn0xqSxBt","XhwjNDsVaA","xUOZtlo3hN","9HNa5Wba9A","QMFrweE19q","3ViojmjbAp","8w2t5hMYqp","U7g4x0WXJJ","rxpJgHHUmx","SUmda5xLS4","2DQ55sFlQl"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","AHs5Up7iyr","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=6967","layer":4},{"info":"compute unary expreesion, input=6967, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-7141","layer":3},{"info":"number node, value=1018","layer":4},{"info":"number node, value=6766","layer":4},{"info":"compute binary expreesion, left_input=1018, right_input=6766, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=6887788","layer":3},{"info":"compute binary expreesion, left_input=-7141, right_input=6887788, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-1","layer":2},{"info":"compute unary expreesion, input=-1, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=0","layer":1},{"info":"number node, value=2551","layer":4},{"info":"compute unary expreesion, input=2551, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-7653","layer":3},{"info":"number node, value=3477","layer":4},{"info":"number node, value=7838","layer":4},{"info":"compute binary expreesion, left_input=3477, right_input=7838, 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=-7653, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":2},{"info":"number node, value=1672","layer":4},{"info":"number node, value=1758","layer":4},{"info":"compute binary expreesion, left_input=1672, right_input=1758, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-250577","layer":3},{"info":"number node, value=6047","layer":4},{"info":"number node, value=3690","layer":4},{"info":"compute binary expreesion, left_input=6047, right_input=3690, 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=-250577, right_input=160, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=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=0, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=0","layer":0}],"base":13,"result_base":13,"text":"(⊙↵-((⨞⊢⪎⋱⫍322C)/⪎⋱⫍604*⪎⋱⫍3106))⊉≛↸((⊄⩳↩⪎⋱⫍1213)⨓(⪎⋱⫍1776∑⇟⊟⪎⋱⫍374C)⫡⨏(⪎⋱⫍9B8⪄⪎⋱⫍A53)≭(⪎⋱⫍29A2⨵⪆⪎⋱⫍18AB))=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=(⊙↵-((⨞⊢⪎⋱⫍322C)/⪎⋱⫍604*⪎⋱⫍3106))⊉≛↸((⊄⩳↩⪎⋱⫍1213)⨓(⪎⋱⫍1776∑⇟⊟⪎⋱⫍374C)⫡⨏(⪎⋱⫍9B8⪄⪎⋱⫍A53)≭(⪎⋱⫍29A2⨵⪆⪎⋱⫍18AB))","cot":[{"info":"⨞⊢⪎⋱⫍322C=⪎⋱⫍-3334","layer":3},{"info":"⪎⋱⫍604*⪎⋱⫍3106=⪎⋱⫍157211B","layer":3},{"info":"⪎⋱⫍-3334/⪎⋱⫍157211B=⪎⋱⫍-1","layer":2},{"info":"⊙↵-⪎⋱⫍-1=⪎⋱⫍0","layer":1},{"info":"⊄⩳↩⪎⋱⫍1213=⪎⋱⫍-3639","layer":3},{"info":"⪎⋱⫍1776∑⇟⊟⪎⋱⫍374C=NaN","layer":3},{"info":"⪎⋱⫍-3639⨓NaN=NaN","layer":2},{"info":"⪎⋱⫍9B8⪄⪎⋱⫍A53=⪎⋱⫍-8A092","layer":3},{"info":"⪎⋱⫍29A2⨵⪆⪎⋱⫍18AB=⪎⋱⫍C4","layer":3},{"info":"⪎⋱⫍-8A092≭⪎⋱⫍C4=NaN","layer":2},{"info":"NaN⫡⨏NaN=NaN","layer":1},{"info":"⪎⋱⫍0⊉≛↸NaN=⪎⋱⫍0","layer":0}]}
{"id":20,"expression_no_base_symbol":"(⊄⩳↩(($1139$↪⪝)⨵⪆($6161$/$1466$)))⇷(($6114$⪄$7239$⪒$2944$⩚⊴⇥$3938$)⩨(⩦⩻⨪($8191$∲⫓$2089$)))","expression":"(⊄⩳↩((⪎⋱⫍698↪⪝)⨵⪆(⪎⋱⫍2A5C/⪎⋱⫍88A)))⇷((⪎⋱⫍2A24⪄⪎⋱⫍33AB⪒⪎⋱⫍1456⩚⊴⇥⪎⋱⫍1A3C)⩨(⩦⩻⨪(⪎⋱⫍3961∲⫓⪎⋱⫍C49)))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":7544,"operation_count":11,"complexity_ratio":685.8181818181819,"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":1139,"base":13}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":6161,"base":13},"right_expr":{"type":"numeric_atoms","value":1466,"base":13}}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":6114,"base":13},"right_expr":{"type":"numeric_atoms","value":7239,"base":13}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2944,"base":13},"right_expr":{"type":"numeric_atoms","value":3938,"base":13}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":8191,"base":13},"right_expr":{"type":"numeric_atoms","value":2089,"base":13}}}}},"used_operators":["mp7IySMOzn","8w2t5hMYqp","2DQ55sFlQl","l07mrZUIn9","XhwjNDsVaA","2DlMacCsIx","f6k1SAg4EE","SUmda5xLS4","NTOWxs364D","2td37pGCOC","i8ToyICDmI"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","2DDjHMKMc0","rysDP5nf3Z","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1139","layer":4},{"info":"compute unary expreesion, input=1139, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=69686298","layer":3},{"info":"number node, value=6161","layer":4},{"info":"number node, value=1466","layer":4},{"info":"compute binary expreesion, left_input=6161, right_input=1466, op_id = XhwjNDsVaA binary_op_definition= 'None', output=4","layer":3},{"info":"compute binary expreesion, left_input=69686298, right_input=4, 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 = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-480","layer":1},{"info":"number node, value=6114","layer":4},{"info":"number node, value=7239","layer":4},{"info":"compute binary expreesion, left_input=6114, right_input=7239, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-929917","layer":3},{"info":"number node, value=2944","layer":4},{"info":"number node, value=3938","layer":4},{"info":"compute binary expreesion, left_input=2944, right_input=3938, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-7003","layer":3},{"info":"compute binary expreesion, left_input=-929917, right_input=-7003, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=936920","layer":2},{"info":"number node, value=8191","layer":4},{"info":"number node, value=2089","layer":4},{"info":"compute binary expreesion, left_input=8191, right_input=2089, 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 = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=936920, 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=-480, right_input=0, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=0","layer":0}],"base":13,"result_base":13,"text":"(⊄⩳↩((⪎⋱⫍698↪⪝)⨵⪆(⪎⋱⫍2A5C/⪎⋱⫍88A)))⇷((⪎⋱⫍2A24⪄⪎⋱⫍33AB⪒⪎⋱⫍1456⩚⊴⇥⪎⋱⫍1A3C)⩨(⩦⩻⨪(⪎⋱⫍3961∲⫓⪎⋱⫍C49)))=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=(⊄⩳↩((⪎⋱⫍698↪⪝)⨵⪆(⪎⋱⫍2A5C/⪎⋱⫍88A)))⇷((⪎⋱⫍2A24⪄⪎⋱⫍33AB⪒⪎⋱⫍1456⩚⊴⇥⪎⋱⫍1A3C)⩨(⩦⩻⨪(⪎⋱⫍3961∲⫓⪎⋱⫍C49)))","cot":[{"info":"⪎⋱⫍698↪⪝=⪎⋱⫍1158BAC6","layer":3},{"info":"⪎⋱⫍2A5C/⪎⋱⫍88A=⪎⋱⫍4","layer":3},{"info":"⪎⋱⫍1158BAC6⨵⪆⪎⋱⫍4=⪎⋱⫍C4","layer":2},{"info":"⊄⩳↩⪎⋱⫍C4=⪎⋱⫍-2AC","layer":1},{"info":"⪎⋱⫍2A24⪄⪎⋱⫍33AB=⪎⋱⫍-267361","layer":3},{"info":"⪎⋱⫍1456⩚⊴⇥⪎⋱⫍1A3C=⪎⋱⫍-3259","layer":3},{"info":"⪎⋱⫍-267361⪒⪎⋱⫍-3259=⪎⋱⫍26A5BA","layer":2},{"info":"⪎⋱⫍3961∲⫓⪎⋱⫍C49=⪎⋱⫍0","layer":3},{"info":"⩦⩻⨪⪎⋱⫍0=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍26A5BA⩨⪎⋱⫍0=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍-2AC⇷⪎⋱⫍0=⪎⋱⫍0","layer":0}]}
{"id":21,"expression_no_base_symbol":"-($5360$⪨≂$1507$)↺(⫛⫱⨽$3255$)-$7712$⨳⩥⨓$1393$*($2046$*$2572$)","expression":"-(⪎⋱⫍2594⪨≂⪎⋱⫍8BC)↺(⫛⫱⨽⪎⋱⫍1635)-⪎⋱⫍3683⨳⩥⨓⪎⋱⫍832*(⪎⋱⫍C15*⪎⋱⫍122B)","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":9799,"operation_count":8,"complexity_ratio":1224.875,"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":5360,"base":13},"right_expr":{"type":"numeric_atoms","value":1507,"base":13}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":3255,"base":13}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":7712,"base":13},"right_expr":{"type":"numeric_atoms","value":1393,"base":13}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2046,"base":13},"right_expr":{"type":"numeric_atoms","value":2572,"base":13}}}}},"used_operators":["t8gj7n24qd","rysDP5nf3Z","7j4O788W3g","sdazOOVcIp","DlLNRPXxWL","9HNa5Wba9A","nCS4ZIUYfx"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z"],"result":"-Inf","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5360","layer":4},{"info":"number node, value=1507","layer":4},{"info":"compute binary expreesion, left_input=5360, right_input=1507, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=7808","layer":3},{"info":"number node, value=3255","layer":4},{"info":"compute unary expreesion, input=3255, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=7808, 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=7712","layer":4},{"info":"number node, value=1393","layer":4},{"info":"compute binary expreesion, left_input=7712, right_input=1393, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-6319","layer":3},{"info":"number node, value=2046","layer":4},{"info":"number node, value=2572","layer":4},{"info":"compute binary expreesion, left_input=2046, right_input=2572, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=5262312","layer":3},{"info":"compute binary expreesion, left_input=-6319, right_input=5262312, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-inf","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-inf, op_id = rysDP5nf3Z binary_op_definition= 'None', output=inf","layer":1},{"info":"compute unary expreesion, input=inf, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-inf","layer":0}],"base":13,"result_base":13,"text":"-(⪎⋱⫍2594⪨≂⪎⋱⫍8BC)↺(⫛⫱⨽⪎⋱⫍1635)-⪎⋱⫍3683⨳⩥⨓⪎⋱⫍832*(⪎⋱⫍C15*⪎⋱⫍122B)=-Inf","reverse_text":"-Inf=-(⪎⋱⫍2594⪨≂⪎⋱⫍8BC)↺(⫛⫱⨽⪎⋱⫍1635)-⪎⋱⫍3683⨳⩥⨓⪎⋱⫍832*(⪎⋱⫍C15*⪎⋱⫍122B)","cot":[{"info":"⪎⋱⫍2594⪨≂⪎⋱⫍8BC=⪎⋱⫍3728","layer":3},{"info":"⫛⫱⨽⪎⋱⫍1635=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍3728↺⪎⋱⫍0=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍3683⨳⩥⨓⪎⋱⫍832=⪎⋱⫍-2B51","layer":3},{"info":"⪎⋱⫍C15*⪎⋱⫍122B=⪎⋱⫍11232C3","layer":3},{"info":"⪎⋱⫍-2B51*⪎⋱⫍11232C3=-Inf","layer":2},{"info":"⪎⋱⫍0--Inf=Inf","layer":1},{"info":"-Inf=-Inf","layer":0}]}
{"id":22,"expression_no_base_symbol":"(($2648$⨪↰⇹$6897$⪨≂$2059$⊴$2196$)⇼⇔∾(≦∁$1622$≭$2143$))⨳⩥⨓(↣≠⋷(⨵≀≌($5389$≫≃)))","expression":"((⪎⋱⫍1289⨪↰⇹⪎⋱⫍31A7⪨≂⪎⋱⫍C25⊴⪎⋱⫍CCC)⇼⇔∾(≦∁⪎⋱⫍97A≭⪎⋱⫍C8B))⨳⩥⨓(↣≠⋷(⨵≀≌(⪎⋱⫍25B7≫≃)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":4875,"operation_count":10,"complexity_ratio":487.5,"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":2648,"base":13},"right_expr":{"type":"numeric_atoms","value":6897,"base":13}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2059,"base":13},"right_expr":{"type":"numeric_atoms","value":2196,"base":13}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1622,"base":13},"right_expr":{"type":"numeric_atoms","value":2143,"base":13}}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":5389,"base":13}}}}},"used_operators":["nCS4ZIUYfx","tifHPKVTfV","sdazOOVcIp","tmPS8pqC7x","Nsiff2A1zJ","9ICcGScMcE","rxpJgHHUmx","Asc51vEJeQ","srAu1WTS94","X99M06cbEe"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","dWAJyo7jo9","14qkJME0vr","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","AHs5Up7iyr","XhwjNDsVaA","AHs5Up7iyr","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2648","layer":4},{"info":"number node, value=6897","layer":4},{"info":"compute binary expreesion, left_input=2648, right_input=6897, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=2648","layer":3},{"info":"number node, value=2059","layer":4},{"info":"number node, value=2196","layer":4},{"info":"compute binary expreesion, left_input=2059, right_input=2196, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2648, 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=1622","layer":4},{"info":"number node, value=2143","layer":4},{"info":"compute binary expreesion, left_input=1622, right_input=2143, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=nan","layer":2},{"info":"compute 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=5389","layer":4},{"info":"compute unary expreesion, input=5389, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=12179","layer":3},{"info":"compute unary expreesion, input=12179, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-36537","layer":2},{"info":"compute unary expreesion, input=-36537, 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 = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍1289⨪↰⇹⪎⋱⫍31A7⪨≂⪎⋱⫍C25⊴⪎⋱⫍CCC)⇼⇔∾(≦∁⪎⋱⫍97A≭⪎⋱⫍C8B))⨳⩥⨓(↣≠⋷(⨵≀≌(⪎⋱⫍25B7≫≃)))=NaN","reverse_text":"NaN=((⪎⋱⫍1289⨪↰⇹⪎⋱⫍31A7⪨≂⪎⋱⫍C25⊴⪎⋱⫍CCC)⇼⇔∾(≦∁⪎⋱⫍97A≭⪎⋱⫍C8B))⨳⩥⨓(↣≠⋷(⨵≀≌(⪎⋱⫍25B7≫≃)))","cot":[{"info":"⪎⋱⫍1289⨪↰⇹⪎⋱⫍31A7=⪎⋱⫍1289","layer":3},{"info":"⪎⋱⫍C25⊴⪎⋱⫍CCC=NaN","layer":3},{"info":"⪎⋱⫍1289⪨≂NaN=NaN","layer":2},{"info":"⪎⋱⫍97A≭⪎⋱⫍C8B=NaN","layer":3},{"info":"≦∁NaN=NaN","layer":2},{"info":"NaN⇼⇔∾NaN=NaN","layer":1},{"info":"⪎⋱⫍25B7≫≃=⪎⋱⫍570B","layer":3},{"info":"⨵≀≌⪎⋱⫍570B=⪎⋱⫍-13827","layer":2},{"info":"↣≠⋷⪎⋱⫍-13827=NaN","layer":1},{"info":"NaN⨳⩥⨓NaN=NaN","layer":0}]}
{"id":23,"expression_no_base_symbol":"$1252$⊴$2224$⨐⩸⫘($1799$⊉≛↸$2532$)⩨$2752$+⇶⊼$3241$⩚⊴⇥(↽≂$2513$)⨵⪆(⨞⊢($1215$⋝⋈⪟$6074$/$6604$⫸⊐$3364$))","expression":"⪎⋱⫍754⊴⪎⋱⫍1021⨐⩸⫘(⪎⋱⫍A85⊉≛↸⪎⋱⫍11CA)⩨⪎⋱⫍1339+⇶⊼⪎⋱⫍1624⩚⊴⇥(↽≂⪎⋱⫍11B4)⨵⪆(⨞⊢(⪎⋱⫍726⋝⋈⪟⪎⋱⫍29C3/⪎⋱⫍3010⫸⊐⪎⋱⫍16BA))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2275,"operation_count":12,"complexity_ratio":189.58333333333334,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1252,"base":13},"right_expr":{"type":"numeric_atoms","value":2224,"base":13}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1799,"base":13},"right_expr":{"type":"numeric_atoms","value":2532,"base":13}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2752,"base":13},"right_expr":{"type":"numeric_atoms","value":3241,"base":13}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":2513,"base":13}}}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1215,"base":13},"right_expr":{"type":"numeric_atoms","value":6074,"base":13}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":6604,"base":13},"right_expr":{"type":"numeric_atoms","value":3364,"base":13}}}}},"used_operators":["2DQ55sFlQl","2DlMacCsIx","fu6greOZ01","Nsiff2A1zJ","DZ8iAZOCBD","NTOWxs364D","TpPTUOHfaN","u6S6b8DprG","xUOZtlo3hN","XhwjNDsVaA","2DDjHMKMc0","mqXw5SEYmG"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","3ViojmjbAp","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"⪎⋱⫍C4","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1252","layer":4},{"info":"number node, value=2224","layer":4},{"info":"compute binary expreesion, left_input=1252, right_input=2224, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=1799","layer":4},{"info":"number node, value=2532","layer":4},{"info":"compute binary expreesion, left_input=1799, right_input=2532, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3598","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3598, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=2752","layer":4},{"info":"number node, value=3241","layer":4},{"info":"compute binary expreesion, left_input=2752, right_input=3241, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=2513","layer":4},{"info":"compute unary expreesion, input=2513, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-5026","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-5026, 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 = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":1},{"info":"number node, value=1215","layer":4},{"info":"number node, value=6074","layer":4},{"info":"compute binary expreesion, left_input=1215, right_input=6074, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1215","layer":3},{"info":"number node, value=6604","layer":4},{"info":"number node, value=3364","layer":4},{"info":"compute binary expreesion, left_input=6604, right_input=3364, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=13331","layer":3},{"info":"compute binary expreesion, left_input=1215, right_input=13331, op_id = XhwjNDsVaA binary_op_definition= 'None', 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 = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍754⊴⪎⋱⫍1021⨐⩸⫘(⪎⋱⫍A85⊉≛↸⪎⋱⫍11CA)⩨⪎⋱⫍1339+⇶⊼⪎⋱⫍1624⩚⊴⇥(↽≂⪎⋱⫍11B4)⨵⪆(⨞⊢(⪎⋱⫍726⋝⋈⪟⪎⋱⫍29C3/⪎⋱⫍3010⫸⊐⪎⋱⫍16BA))=⪎⋱⫍C4","reverse_text":"⪎⋱⫍C4=⪎⋱⫍754⊴⪎⋱⫍1021⨐⩸⫘(⪎⋱⫍A85⊉≛↸⪎⋱⫍11CA)⩨⪎⋱⫍1339+⇶⊼⪎⋱⫍1624⩚⊴⇥(↽≂⪎⋱⫍11B4)⨵⪆(⨞⊢(⪎⋱⫍726⋝⋈⪟⪎⋱⫍29C3/⪎⋱⫍3010⫸⊐⪎⋱⫍16BA))","cot":[{"info":"⪎⋱⫍754⊴⪎⋱⫍1021=NaN","layer":3},{"info":"⪎⋱⫍A85⊉≛↸⪎⋱⫍11CA=⪎⋱⫍183A","layer":3},{"info":"NaN⨐⩸⫘⪎⋱⫍183A=NaN","layer":2},{"info":"⪎⋱⫍1339+⇶⊼⪎⋱⫍1624=NaN","layer":3},{"info":"↽≂⪎⋱⫍11B4=⪎⋱⫍-2398","layer":3},{"info":"NaN⩚⊴⇥⪎⋱⫍-2398=NaN","layer":2},{"info":"NaN⩨NaN=NaN","layer":1},{"info":"⪎⋱⫍726⋝⋈⪟⪎⋱⫍29C3=⪎⋱⫍726","layer":3},{"info":"⪎⋱⫍3010⫸⊐⪎⋱⫍16BA=⪎⋱⫍60B6","layer":3},{"info":"⪎⋱⫍726/⪎⋱⫍60B6=⪎⋱⫍0","layer":2},{"info":"⨞⊢⪎⋱⫍0=⪎⋱⫍-105","layer":1},{"info":"NaN⨵⪆⪎⋱⫍-105=⪎⋱⫍C4","layer":0}]}
{"id":24,"expression_no_base_symbol":"∂((($4161$⋫)⨰(≉$5631$))⩠)","expression":"∂(((⪎⋱⫍1B81⋫)⨰(≉⪎⋱⫍2742))⩠)","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":4187,"operation_count":5,"complexity_ratio":837.4,"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":4161,"base":13}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":5631,"base":13}}}}},"used_operators":["Uaa54Peajs","sJAwomhLZr","eewbuw0ToL","JL8yIekQnl","e1ybzncUwg"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=4161","layer":4},{"info":"compute unary expreesion, input=4161, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=4161","layer":3},{"info":"number node, value=5631","layer":4},{"info":"compute unary expreesion, input=5631, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=6162","layer":3},{"info":"compute binary expreesion, left_input=4161, right_input=6162, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-1991","layer":2},{"info":"compute unary expreesion, input=-1991, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=8173","layer":1},{"info":"compute unary expreesion, input=8173, 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":13,"result_base":13,"text":"∂(((⪎⋱⫍1B81⋫)⨰(≉⪎⋱⫍2742))⩠)=NaN","reverse_text":"NaN=∂(((⪎⋱⫍1B81⋫)⨰(≉⪎⋱⫍2742))⩠)","cot":[{"info":"⪎⋱⫍1B81⋫=⪎⋱⫍1B81","layer":3},{"info":"≉⪎⋱⫍2742=⪎⋱⫍2A60","layer":3},{"info":"⪎⋱⫍1B81⨰⪎⋱⫍2A60=⪎⋱⫍-BA2","layer":2},{"info":"⪎⋱⫍-BA2⩠=⪎⋱⫍3949","layer":1},{"info":"∂⪎⋱⫍3949=NaN","layer":0}]}
{"id":25,"expression_no_base_symbol":"((⊄⩳↩$7623$)⩚⊴⇥($1759$⪐)⪒(($1023$⋥≓≎$6616$)⫌⩹⨱))⫸⊐$2127$∼$1255$⨎(↔$5078$)⫥∨⫟($1989$⩚⊴⇥$2605$⋷$1324$≹⇙⪍$1681$)","expression":"((⊄⩳↩⪎⋱⫍3615)⩚⊴⇥(⪎⋱⫍A54⪐)⪒((⪎⋱⫍609⋥≓≎⪎⋱⫍301C)⫌⩹⨱))⫸⊐⪎⋱⫍C78∼⪎⋱⫍757⨎(↔⪎⋱⫍2408)⫥∨⫟(⪎⋱⫍BA0⩚⊴⇥⪎⋱⫍1255⋷⪎⋱⫍7AB≹⇙⪍⪎⋱⫍9C4)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":237,"operation_count":14,"complexity_ratio":16.928571428571427,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":7623,"base":13}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":1759,"base":13}}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1023,"base":13},"right_expr":{"type":"numeric_atoms","value":6616,"base":13}}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2127,"base":13},"right_expr":{"type":"numeric_atoms","value":1255,"base":13}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":5078,"base":13}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1989,"base":13},"right_expr":{"type":"numeric_atoms","value":2605,"base":13}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1324,"base":13},"right_expr":{"type":"numeric_atoms","value":1681,"base":13}}}}},"used_operators":["mqXw5SEYmG","f6k1SAg4EE","NTOWxs364D","8w2t5hMYqp","eH2TOUuTDT","EBcxylXtPf","Qy55tPpLXF","KYD54nUTWz","rJVOvQCfKK","DyGG3AbaNP","ruOEQAzv1W","23Mk6UjR3U","AHs5Up7iyr"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9"],"result":"⪎⋱⫍596","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=7623","layer":4},{"info":"compute unary expreesion, input=7623, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-22869","layer":3},{"info":"number node, value=1759","layer":4},{"info":"compute unary expreesion, input=1759, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=3518","layer":3},{"info":"compute binary expreesion, left_input=-22869, right_input=3518, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=19230","layer":2},{"info":"number node, value=1023","layer":4},{"info":"number node, value=6616","layer":4},{"info":"compute binary expreesion, left_input=1023, right_input=6616, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=12242","layer":3},{"info":"compute unary expreesion, input=12242, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=25885","layer":2},{"info":"compute binary expreesion, left_input=19230, right_input=25885, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-45115","layer":1},{"info":"number node, value=2127","layer":4},{"info":"number node, value=1255","layer":4},{"info":"compute binary expreesion, left_input=2127, right_input=1255, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"number node, value=5078","layer":4},{"info":"compute unary expreesion, input=5078, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-4805","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-4805, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-4805","layer":2},{"info":"number node, value=1989","layer":4},{"info":"number node, value=2605","layer":4},{"info":"compute binary expreesion, left_input=1989, right_input=2605, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4715","layer":3},{"info":"number node, value=1324","layer":4},{"info":"number node, value=1681","layer":4},{"info":"compute binary expreesion, left_input=1324, right_input=1681, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=-4715, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=9430","layer":2},{"info":"compute binary expreesion, left_input=-4805, right_input=9430, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-45115, 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":13,"result_base":13,"text":"((⊄⩳↩⪎⋱⫍3615)⩚⊴⇥(⪎⋱⫍A54⪐)⪒((⪎⋱⫍609⋥≓≎⪎⋱⫍301C)⫌⩹⨱))⫸⊐⪎⋱⫍C78∼⪎⋱⫍757⨎(↔⪎⋱⫍2408)⫥∨⫟(⪎⋱⫍BA0⩚⊴⇥⪎⋱⫍1255⋷⪎⋱⫍7AB≹⇙⪍⪎⋱⫍9C4)=⪎⋱⫍596","reverse_text":"⪎⋱⫍596=((⊄⩳↩⪎⋱⫍3615)⩚⊴⇥(⪎⋱⫍A54⪐)⪒((⪎⋱⫍609⋥≓≎⪎⋱⫍301C)⫌⩹⨱))⫸⊐⪎⋱⫍C78∼⪎⋱⫍757⨎(↔⪎⋱⫍2408)⫥∨⫟(⪎⋱⫍BA0⩚⊴⇥⪎⋱⫍1255⋷⪎⋱⫍7AB≹⇙⪍⪎⋱⫍9C4)","cot":[{"info":"⊄⩳↩⪎⋱⫍3615=⪎⋱⫍-A542","layer":3},{"info":"⪎⋱⫍A54⪐=⪎⋱⫍17A8","layer":3},{"info":"⪎⋱⫍-A542⩚⊴⇥⪎⋱⫍17A8=⪎⋱⫍89A3","layer":2},{"info":"⪎⋱⫍609⋥≓≎⪎⋱⫍301C=⪎⋱⫍5759","layer":3},{"info":"⪎⋱⫍5759⫌⩹⨱=⪎⋱⫍BA22","layer":2},{"info":"⪎⋱⫍89A3⪒⪎⋱⫍BA22=⪎⋱⫍-176C5","layer":1},{"info":"⪎⋱⫍C78∼⪎⋱⫍757=NaN","layer":3},{"info":"↔⪎⋱⫍2408=⪎⋱⫍-2258","layer":3},{"info":"NaN⨎⪎⋱⫍-2258=⪎⋱⫍-2258","layer":2},{"info":"⪎⋱⫍BA0⩚⊴⇥⪎⋱⫍1255=⪎⋱⫍-21B9","layer":3},{"info":"⪎⋱⫍7AB≹⇙⪍⪎⋱⫍9C4=NaN","layer":3},{"info":"⪎⋱⫍-21B9⋷NaN=⪎⋱⫍43A5","layer":2},{"info":"⪎⋱⫍-2258⫥∨⫟⪎⋱⫍43A5=NaN","layer":1},{"info":"⪎⋱⫍-176C5⫸⊐NaN=⪎⋱⫍596","layer":0}]}
{"id":26,"expression_no_base_symbol":"((⪲⇎($2562$⨁⊸⫻))≎⊠⪸($2265$≎⊠⪸$3934$≣⋋))⪘⫢((⨑⩽⪐($3786$⊉≛↸$1197$))⇼⇔∾($1482$⫌⩹⨱)⨰$5046$∼$2196$)","expression":"((⪲⇎(⪎⋱⫍1221⨁⊸⫻))≎⊠⪸(⪎⋱⫍1053≎⊠⪸⪎⋱⫍1A38≣⋋))⪘⫢((⨑⩽⪐(⪎⋱⫍1953⊉≛↸⪎⋱⫍711))⇼⇔∾(⪎⋱⫍8A0⫌⩹⨱)⨰⪎⋱⫍23B2∼⪎⋱⫍CCC)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1187,"operation_count":12,"complexity_ratio":98.91666666666667,"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":2562,"base":13}}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2265,"base":13},"right_expr":{"type":"numeric_atoms","value":3934,"base":13}}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":3786,"base":13},"right_expr":{"type":"numeric_atoms","value":1197,"base":13}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":1482,"base":13}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":5046,"base":13},"right_expr":{"type":"numeric_atoms","value":2196,"base":13}}}}},"used_operators":["oacrs7FA3X","bJkvcejdHO","XPYlsWDdGa","glklzrTFfD","Tcnh7f0tEr","tifHPKVTfV","AF7qkfDlqP","DZ8iAZOCBD","eewbuw0ToL","EBcxylXtPf","DyGG3AbaNP"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2562","layer":4},{"info":"compute unary expreesion, input=2562, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=2562","layer":3},{"info":"compute unary expreesion, input=2562, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=5124","layer":2},{"info":"number node, value=2265","layer":4},{"info":"number node, value=3934","layer":4},{"info":"compute binary expreesion, left_input=2265, right_input=3934, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=586162","layer":3},{"info":"compute unary expreesion, input=586162, 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=5124, right_input=0, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1326643","layer":1},{"info":"number node, value=3786","layer":4},{"info":"number node, value=1197","layer":4},{"info":"compute binary expreesion, left_input=3786, right_input=1197, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=7572","layer":3},{"info":"compute unary expreesion, input=7572, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-7299","layer":2},{"info":"number node, value=1482","layer":4},{"info":"compute unary expreesion, input=1482, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=4365","layer":3},{"info":"number node, value=5046","layer":4},{"info":"number node, value=2196","layer":4},{"info":"compute binary expreesion, left_input=5046, right_input=2196, 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=4365, 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=-7299, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1326643, 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":13,"result_base":13,"text":"((⪲⇎(⪎⋱⫍1221⨁⊸⫻))≎⊠⪸(⪎⋱⫍1053≎⊠⪸⪎⋱⫍1A38≣⋋))⪘⫢((⨑⩽⪐(⪎⋱⫍1953⊉≛↸⪎⋱⫍711))⇼⇔∾(⪎⋱⫍8A0⫌⩹⨱)⨰⪎⋱⫍23B2∼⪎⋱⫍CCC)=NaN","reverse_text":"NaN=((⪲⇎(⪎⋱⫍1221⨁⊸⫻))≎⊠⪸(⪎⋱⫍1053≎⊠⪸⪎⋱⫍1A38≣⋋))⪘⫢((⨑⩽⪐(⪎⋱⫍1953⊉≛↸⪎⋱⫍711))⇼⇔∾(⪎⋱⫍8A0⫌⩹⨱)⨰⪎⋱⫍23B2∼⪎⋱⫍CCC)","cot":[{"info":"⪎⋱⫍1221⨁⊸⫻=⪎⋱⫍1221","layer":3},{"info":"⪲⇎⪎⋱⫍1221=⪎⋱⫍2442","layer":2},{"info":"⪎⋱⫍1053≎⊠⪸⪎⋱⫍1A38=⪎⋱⫍176A55","layer":3},{"info":"⪎⋱⫍176A55≣⋋=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍2442≎⊠⪸⪎⋱⫍0=⪎⋱⫍375AC6","layer":1},{"info":"⪎⋱⫍1953⊉≛↸⪎⋱⫍711=⪎⋱⫍35A6","layer":3},{"info":"⨑⩽⪐⪎⋱⫍35A6=⪎⋱⫍-3426","layer":2},{"info":"⪎⋱⫍8A0⫌⩹⨱=⪎⋱⫍1CAA","layer":3},{"info":"⪎⋱⫍23B2∼⪎⋱⫍CCC=NaN","layer":3},{"info":"⪎⋱⫍1CAA⨰NaN=NaN","layer":2},{"info":"⪎⋱⫍-3426⇼⇔∾NaN=NaN","layer":1},{"info":"⪎⋱⫍375AC6⪘⫢NaN=NaN","layer":0}]}
{"id":27,"expression_no_base_symbol":"(↥(⫛⫱⨽(⊄⩳↩$9145$)))⫡⨏(↔(↩(↩$3265$)))","expression":"(↥(⫛⫱⨽(⊄⩳↩⪎⋱⫍4216)))⫡⨏(↔(↩(↩⪎⋱⫍1642)))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1476,"operation_count":7,"complexity_ratio":210.85714285714286,"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":9145,"base":13}}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":3265,"base":13}}}}},"used_operators":["QMFrweE19q","A8NUZmVepG","DlLNRPXxWL","8w2t5hMYqp","ruOEQAzv1W","jLgFTUHLKL"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D"],"result":"⪎⋱⫍-689CC","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=9145","layer":4},{"info":"compute unary expreesion, input=9145, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-27435","layer":3},{"info":"compute unary expreesion, input=-27435, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=0","layer":1},{"info":"number node, value=3265","layer":4},{"info":"compute unary expreesion, input=3265, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-23340","layer":3},{"info":"compute unary expreesion, input=-23340, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=95980","layer":2},{"info":"compute unary expreesion, input=95980, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-95707","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-95707, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=-190631","layer":0}],"base":13,"result_base":13,"text":"(↥(⫛⫱⨽(⊄⩳↩⪎⋱⫍4216)))⫡⨏(↔(↩(↩⪎⋱⫍1642)))=⪎⋱⫍-689CC","reverse_text":"⪎⋱⫍-689CC=(↥(⫛⫱⨽(⊄⩳↩⪎⋱⫍4216)))⫡⨏(↔(↩(↩⪎⋱⫍1642)))","cot":[{"info":"⊄⩳↩⪎⋱⫍4216=⪎⋱⫍-C645","layer":3},{"info":"⫛⫱⨽⪎⋱⫍-C645=⪎⋱⫍0","layer":2},{"info":"↥⪎⋱⫍0=⪎⋱⫍0","layer":1},{"info":"↩⪎⋱⫍1642=⪎⋱⫍-A815","layer":3},{"info":"↩⪎⋱⫍-A815=⪎⋱⫍348C1","layer":2},{"info":"↔⪎⋱⫍348C1=⪎⋱⫍-34741","layer":1},{"info":"⪎⋱⫍0⫡⨏⪎⋱⫍-34741=⪎⋱⫍-689CC","layer":0}]}
{"id":28,"expression_no_base_symbol":"(⊄⩳↩(≉($2488$⫡⨏$1618$)))≫≃","expression":"(⊄⩳↩(≉(⪎⋱⫍1195⫡⨏⪎⋱⫍976)))≫≃","highest_n_order":2,"priority_hierarchical_complexity":4,"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":2488,"base":13},"right_expr":{"type":"numeric_atoms","value":1618,"base":13}}}}},"used_operators":["X99M06cbEe","8w2t5hMYqp","e1ybzncUwg","QMFrweE19q"],"dependent_operators":["2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍-369BA","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2488","layer":4},{"info":"number node, value=1618","layer":4},{"info":"compute binary expreesion, left_input=2488, right_input=1618, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=16459","layer":3},{"info":"compute unary expreesion, input=16459, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=16990","layer":2},{"info":"compute unary expreesion, input=16990, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-50970","layer":1},{"info":"compute unary expreesion, input=-50970, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=-100539","layer":0}],"base":13,"result_base":13,"text":"(⊄⩳↩(≉(⪎⋱⫍1195⫡⨏⪎⋱⫍976)))≫≃=⪎⋱⫍-369BA","reverse_text":"⪎⋱⫍-369BA=(⊄⩳↩(≉(⪎⋱⫍1195⫡⨏⪎⋱⫍976)))≫≃","cot":[{"info":"⪎⋱⫍1195⫡⨏⪎⋱⫍976=⪎⋱⫍7651","layer":3},{"info":"≉⪎⋱⫍7651=⪎⋱⫍796C","layer":2},{"info":"⊄⩳↩⪎⋱⫍796C=⪎⋱⫍-1A27A","layer":1},{"info":"⪎⋱⫍-1A27A≫≃=⪎⋱⫍-369BA","layer":0}]}
{"id":29,"expression_no_base_symbol":"(↔($2491$+⇶⊼$2410$⊭∹↮))⪠⩆⊳","expression":"(↔(⪎⋱⫍1198+⇶⊼⪎⋱⫍1135⊭∹↮))⪠⩆⊳","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":35,"operation_count":4,"complexity_ratio":8.75,"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":2491,"base":13},"right_expr":{"type":"numeric_atoms","value":2410,"base":13}}}}},"used_operators":["JLbD19bQDL","ruOEQAzv1W","xNBdhnnwKq","TpPTUOHfaN"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","AHs5Up7iyr"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2491","layer":4},{"info":"number node, value=2410","layer":4},{"info":"compute binary expreesion, left_input=2491, right_input=2410, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 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 = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":0}],"base":13,"result_base":13,"text":"(↔(⪎⋱⫍1198+⇶⊼⪎⋱⫍1135⊭∹↮))⪠⩆⊳=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=(↔(⪎⋱⫍1198+⇶⊼⪎⋱⫍1135⊭∹↮))⪠⩆⊳","cot":[{"info":"⪎⋱⫍1198+⇶⊼⪎⋱⫍1135=NaN","layer":3},{"info":"NaN⊭∹↮=NaN","layer":2},{"info":"↔NaN=⪎⋱⫍-A4","layer":1},{"info":"⪎⋱⫍-A4⪠⩆⊳=⪎⋱⫍0","layer":0}]}
{"id":30,"expression_no_base_symbol":"(((⊙↵-$1323$)⪠⩆⊳)⨪↰⇹((≉$1525$)⨵⪆$1163$↙$3305$))⪮%⊝(($1519$⋝⋈⪟$1198$⪐)⇋≉)","expression":"(((⊙↵-⪎⋱⫍7AA)⪠⩆⊳)⨪↰⇹((≉⪎⋱⫍904)⨵⪆⪎⋱⫍6B6↙⪎⋱⫍1673))⪮%⊝((⪎⋱⫍8CB⋝⋈⪟⪎⋱⫍712⪐)⇋≉)","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":4704,"operation_count":10,"complexity_ratio":470.4,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1323,"base":13}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1525,"base":13}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1163,"base":13},"right_expr":{"type":"numeric_atoms","value":3305,"base":13}}}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1519,"base":13},"right_expr":{"type":"numeric_atoms","value":1198,"base":13}}}}},"used_operators":["IWmyXbctLI","tmPS8pqC7x","JLbD19bQDL","oWn0xqSxBt","2DQ55sFlQl","e1ybzncUwg","yyfyN0ffXY","XIabStNQrY","eH2TOUuTDT","2DDjHMKMc0"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rJVOvQCfKK","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍1B4","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1323","layer":4},{"info":"compute unary expreesion, input=1323, 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 = 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=1525","layer":4},{"info":"compute unary expreesion, input=1525, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=2056","layer":3},{"info":"number node, value=1163","layer":4},{"info":"number node, value=3305","layer":4},{"info":"compute binary expreesion, left_input=1163, right_input=3305, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-9915","layer":3},{"info":"compute binary expreesion, left_input=2056, right_input=-9915, 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 = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=0","layer":1},{"info":"number node, value=1519","layer":4},{"info":"number node, value=1198","layer":4},{"info":"compute binary expreesion, left_input=1519, right_input=1198, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1519","layer":3},{"info":"compute unary expreesion, input=1519, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=3038","layer":2},{"info":"compute unary expreesion, input=3038, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=5978","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=5978, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=316","layer":0}],"base":13,"result_base":13,"text":"(((⊙↵-⪎⋱⫍7AA)⪠⩆⊳)⨪↰⇹((≉⪎⋱⫍904)⨵⪆⪎⋱⫍6B6↙⪎⋱⫍1673))⪮%⊝((⪎⋱⫍8CB⋝⋈⪟⪎⋱⫍712⪐)⇋≉)=⪎⋱⫍1B4","reverse_text":"⪎⋱⫍1B4=(((⊙↵-⪎⋱⫍7AA)⪠⩆⊳)⨪↰⇹((≉⪎⋱⫍904)⨵⪆⪎⋱⫍6B6↙⪎⋱⫍1673))⪮%⊝((⪎⋱⫍8CB⋝⋈⪟⪎⋱⫍712⪐)⇋≉)","cot":[{"info":"⊙↵-⪎⋱⫍7AA=⪎⋱⫍-1","layer":3},{"info":"⪎⋱⫍-1⪠⩆⊳=⪎⋱⫍0","layer":2},{"info":"≉⪎⋱⫍904=⪎⋱⫍C22","layer":3},{"info":"⪎⋱⫍6B6↙⪎⋱⫍1673=⪎⋱⫍-4689","layer":3},{"info":"⪎⋱⫍C22⨵⪆⪎⋱⫍-4689=⪎⋱⫍C4","layer":2},{"info":"⪎⋱⫍0⨪↰⇹⪎⋱⫍C4=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍8CB⋝⋈⪟⪎⋱⫍712=⪎⋱⫍8CB","layer":3},{"info":"⪎⋱⫍8CB⪐=⪎⋱⫍14C9","layer":2},{"info":"⪎⋱⫍14C9⇋≉=⪎⋱⫍294B","layer":1},{"info":"⪎⋱⫍0⪮%⊝⪎⋱⫍294B=⪎⋱⫍1B4","layer":0}]}
{"id":31,"expression_no_base_symbol":"⫓⪴(⊄⩳↩(⫛⫱⨽$5108$)⪢($5179$⨰$1472$))","expression":"⫓⪴(⊄⩳↩(⫛⫱⨽⪎⋱⫍242C)⪢(⪎⋱⫍2485⨰⪎⋱⫍893))","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":5149,"operation_count":5,"complexity_ratio":1029.8,"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":5108,"base":13}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":5179,"base":13},"right_expr":{"type":"numeric_atoms","value":1472,"base":13}}}}},"used_operators":["eLxqMNBOBk","8w2t5hMYqp","dWAJyo7jo9","DlLNRPXxWL","eewbuw0ToL"],"dependent_operators":["9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=5108","layer":4},{"info":"compute unary expreesion, input=5108, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=5179","layer":4},{"info":"number node, value=1472","layer":4},{"info":"compute binary expreesion, left_input=5179, right_input=1472, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=3717","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=3717, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-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":13,"result_base":13,"text":"⫓⪴(⊄⩳↩(⫛⫱⨽⪎⋱⫍242C)⪢(⪎⋱⫍2485⨰⪎⋱⫍893))=NaN","reverse_text":"NaN=⫓⪴(⊄⩳↩(⫛⫱⨽⪎⋱⫍242C)⪢(⪎⋱⫍2485⨰⪎⋱⫍893))","cot":[{"info":"⫛⫱⨽⪎⋱⫍242C=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍2485⨰⪎⋱⫍893=⪎⋱⫍18CC","layer":3},{"info":"⪎⋱⫍0⪢⪎⋱⫍18CC=NaN","layer":2},{"info":"⊄⩳↩NaN=NaN","layer":1},{"info":"⫓⪴NaN=NaN","layer":0}]}
{"id":32,"expression_no_base_symbol":"(⪲⇎$2895$⋳⪒$3646$)⨰(($1031$⫩⊇)⨐⩸⫘($2628$⨳⩥⨓$2643$))⩤","expression":"(⪲⇎⪎⋱⫍1419⋳⪒⪎⋱⫍1876)⨰((⪎⋱⫍614⫩⊇)⨐⩸⫘(⪎⋱⫍1272⨳⩥⨓⪎⋱⫍1284))⩤","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":336,"operation_count":7,"complexity_ratio":48.0,"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":2895,"base":13},"right_expr":{"type":"numeric_atoms","value":3646,"base":13}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":1031,"base":13}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2628,"base":13},"right_expr":{"type":"numeric_atoms","value":2643,"base":13}}}}},"used_operators":["Z2TMIBDE3Q","eewbuw0ToL","XPYlsWDdGa","12rbrZMWeM","fu6greOZ01","BjRHVeLaeN","nCS4ZIUYfx"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z"],"result":"⪎⋱⫍-191B","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2895","layer":4},{"info":"number node, value=3646","layer":4},{"info":"compute binary expreesion, left_input=2895, right_input=3646, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=1857","layer":3},{"info":"compute unary expreesion, input=1857, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=3714","layer":2},{"info":"number node, value=1031","layer":4},{"info":"compute unary expreesion, input=1031, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-989","layer":3},{"info":"number node, value=2628","layer":4},{"info":"number node, value=2643","layer":4},{"info":"compute binary expreesion, left_input=2628, right_input=2643, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=15","layer":3},{"info":"compute binary expreesion, left_input=-989, right_input=15, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=-18","layer":2},{"info":"compute binary expreesion, left_input=3714, right_input=-18, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=3742","layer":1},{"info":"compute unary expreesion, input=3742, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-3742","layer":0}],"base":13,"result_base":13,"text":"(⪲⇎⪎⋱⫍1419⋳⪒⪎⋱⫍1876)⨰((⪎⋱⫍614⫩⊇)⨐⩸⫘(⪎⋱⫍1272⨳⩥⨓⪎⋱⫍1284))⩤=⪎⋱⫍-191B","reverse_text":"⪎⋱⫍-191B=(⪲⇎⪎⋱⫍1419⋳⪒⪎⋱⫍1876)⨰((⪎⋱⫍614⫩⊇)⨐⩸⫘(⪎⋱⫍1272⨳⩥⨓⪎⋱⫍1284))⩤","cot":[{"info":"⪎⋱⫍1419⋳⪒⪎⋱⫍1876=⪎⋱⫍ACB","layer":3},{"info":"⪲⇎⪎⋱⫍ACB=⪎⋱⫍18C9","layer":2},{"info":"⪎⋱⫍614⫩⊇=⪎⋱⫍-5B1","layer":3},{"info":"⪎⋱⫍1272⨳⩥⨓⪎⋱⫍1284=⪎⋱⫍12","layer":3},{"info":"⪎⋱⫍-5B1⨐⩸⫘⪎⋱⫍12=⪎⋱⫍-15","layer":2},{"info":"⪎⋱⫍18C9⨰⪎⋱⫍-15=⪎⋱⫍191B","layer":1},{"info":"⪎⋱⫍191B⩤=⪎⋱⫍-191B","layer":0}]}
{"id":33,"expression_no_base_symbol":"($4209$⩷∴$4528$⋓($3872$⋥≓≎$4459$)⨽($5663$*$4542$)≭($2751$⨸⪁$2321$))+⇶⊼(($6083$+⇶⊼$1497$⩨($3690$/$1811$))≫≃)","expression":"(⪎⋱⫍1BBA⩷∴⪎⋱⫍20A4⋓(⪎⋱⫍19BB⋥≓≎⪎⋱⫍2050)⨽(⪎⋱⫍2768*⪎⋱⫍20B5)≭(⪎⋱⫍1338⨸⪁⪎⋱⫍1097))+⇶⊼((⪎⋱⫍29CC+⇶⊼⪎⋱⫍8B2⩨(⪎⋱⫍18AB/⪎⋱⫍A94))≫≃)","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":4594,"operation_count":12,"complexity_ratio":382.8333333333333,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":4209,"base":13},"right_expr":{"type":"numeric_atoms","value":4528,"base":13}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":3872,"base":13},"right_expr":{"type":"numeric_atoms","value":4459,"base":13}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":5663,"base":13},"right_expr":{"type":"numeric_atoms","value":4542,"base":13}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2751,"base":13},"right_expr":{"type":"numeric_atoms","value":2321,"base":13}}}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":6083,"base":13},"right_expr":{"type":"numeric_atoms","value":1497,"base":13}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":3690,"base":13},"right_expr":{"type":"numeric_atoms","value":1811,"base":13}}}}},"used_operators":["TpPTUOHfaN","8HhzD0ZcuI","T2fj7uvVaJ","9FxExcQeMw","Qy55tPpLXF","rxpJgHHUmx","9HNa5Wba9A","g55IO6H4Gj","X99M06cbEe","2DlMacCsIx","XhwjNDsVaA"],"dependent_operators":["AHs5Up7iyr","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","W4YGzv6Whe","W4YGzv6Whe","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4209","layer":4},{"info":"number node, value=4528","layer":4},{"info":"compute binary expreesion, left_input=4209, right_input=4528, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-670","layer":3},{"info":"number node, value=3872","layer":4},{"info":"number node, value=4459","layer":4},{"info":"compute binary expreesion, left_input=3872, right_input=4459, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=5079","layer":3},{"info":"compute binary expreesion, left_input=-670, right_input=5079, op_id = T2fj7uvVaJ binary_op_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=5663","layer":4},{"info":"number node, value=4542","layer":4},{"info":"compute binary expreesion, left_input=5663, right_input=4542, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=25721346","layer":3},{"info":"number node, value=2751","layer":4},{"info":"number node, value=2321","layer":4},{"info":"compute binary expreesion, left_input=2751, right_input=2321, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=10144","layer":3},{"info":"compute binary expreesion, left_input=25721346, right_input=10144, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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 = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":1},{"info":"number node, value=6083","layer":4},{"info":"number node, value=1497","layer":4},{"info":"compute binary expreesion, left_input=6083, right_input=1497, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=3690","layer":4},{"info":"number node, value=1811","layer":4},{"info":"compute binary expreesion, left_input=3690, right_input=1811, op_id = XhwjNDsVaA binary_op_definition= 'None', output=2","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2, 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 = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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":13,"result_base":13,"text":"(⪎⋱⫍1BBA⩷∴⪎⋱⫍20A4⋓(⪎⋱⫍19BB⋥≓≎⪎⋱⫍2050)⨽(⪎⋱⫍2768*⪎⋱⫍20B5)≭(⪎⋱⫍1338⨸⪁⪎⋱⫍1097))+⇶⊼((⪎⋱⫍29CC+⇶⊼⪎⋱⫍8B2⩨(⪎⋱⫍18AB/⪎⋱⫍A94))≫≃)=NaN","reverse_text":"NaN=(⪎⋱⫍1BBA⩷∴⪎⋱⫍20A4⋓(⪎⋱⫍19BB⋥≓≎⪎⋱⫍2050)⨽(⪎⋱⫍2768*⪎⋱⫍20B5)≭(⪎⋱⫍1338⨸⪁⪎⋱⫍1097))+⇶⊼((⪎⋱⫍29CC+⇶⊼⪎⋱⫍8B2⩨(⪎⋱⫍18AB/⪎⋱⫍A94))≫≃)","cot":[{"info":"⪎⋱⫍1BBA⩷∴⪎⋱⫍20A4=⪎⋱⫍-3C7","layer":3},{"info":"⪎⋱⫍19BB⋥≓≎⪎⋱⫍2050=⪎⋱⫍2409","layer":3},{"info":"⪎⋱⫍-3C7⋓⪎⋱⫍2409=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍2768*⪎⋱⫍20B5=⪎⋱⫍5437641","layer":3},{"info":"⪎⋱⫍1338⨸⪁⪎⋱⫍1097=⪎⋱⫍4804","layer":3},{"info":"⪎⋱⫍5437641≭⪎⋱⫍4804=NaN","layer":2},{"info":"⪎⋱⫍0⨽NaN=NaN","layer":1},{"info":"⪎⋱⫍29CC+⇶⊼⪎⋱⫍8B2=NaN","layer":3},{"info":"⪎⋱⫍18AB/⪎⋱⫍A94=⪎⋱⫍2","layer":3},{"info":"NaN⩨⪎⋱⫍2=NaN","layer":2},{"info":"NaN≫≃=NaN","layer":1},{"info":"NaN+⇶⊼NaN=NaN","layer":0}]}
{"id":34,"expression_no_base_symbol":"⨰⫟⨤(($1400$*$1453$≋⫹)⋥≓≎($2135$≭$2805$⊭↱(⊄⩳↩$3709$)))","expression":"⨰⫟⨤((⪎⋱⫍839*⪎⋱⫍87A≋⫹)⋥≓≎(⪎⋱⫍C83≭⪎⋱⫍137A⊭↱(⊄⩳↩⪎⋱⫍18C4)))","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":2307,"operation_count":7,"complexity_ratio":329.57142857142856,"tree":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1400,"base":13},"right_expr":{"type":"numeric_atoms","value":1453,"base":13}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2135,"base":13},"right_expr":{"type":"numeric_atoms","value":2805,"base":13}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":3709,"base":13}}}}},"used_operators":["Tw270M8GLb","Qy55tPpLXF","N41Kp7NANJ","9HNa5Wba9A","COABgblf1C","rxpJgHHUmx","8w2t5hMYqp"],"dependent_operators":["sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1400","layer":4},{"info":"number node, value=1453","layer":4},{"info":"compute binary expreesion, left_input=1400, right_input=1453, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=2034200","layer":3},{"info":"compute unary expreesion, input=2034200, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-4068400","layer":2},{"info":"number node, value=2135","layer":4},{"info":"number node, value=2805","layer":4},{"info":"compute binary expreesion, left_input=2135, right_input=2805, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=3709","layer":4},{"info":"compute unary expreesion, input=3709, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-11127","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-11127, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-4068400, 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":13,"result_base":13,"text":"⨰⫟⨤((⪎⋱⫍839*⪎⋱⫍87A≋⫹)⋥≓≎(⪎⋱⫍C83≭⪎⋱⫍137A⊭↱(⊄⩳↩⪎⋱⫍18C4)))=NaN","reverse_text":"NaN=⨰⫟⨤((⪎⋱⫍839*⪎⋱⫍87A≋⫹)⋥≓≎(⪎⋱⫍C83≭⪎⋱⫍137A⊭↱(⊄⩳↩⪎⋱⫍18C4)))","cot":[{"info":"⪎⋱⫍839*⪎⋱⫍87A=⪎⋱⫍562B8C","layer":3},{"info":"⪎⋱⫍562B8C≋⫹=⪎⋱⫍-AC5A4B","layer":2},{"info":"⪎⋱⫍C83≭⪎⋱⫍137A=NaN","layer":3},{"info":"⊄⩳↩⪎⋱⫍18C4=⪎⋱⫍-50AC","layer":3},{"info":"NaN⊭↱⪎⋱⫍-50AC=NaN","layer":2},{"info":"⪎⋱⫍-AC5A4B⋥≓≎NaN=⪎⋱⫍52","layer":1},{"info":"⨰⫟⨤⪎⋱⫍52=NaN","layer":0}]}
{"id":35,"expression_no_base_symbol":"⩦⩻⨪((↩($4846$+$5547$))⇼⇔∾(⨰⫟⨤($2025$⊉≛↸$1904$)))","expression":"⩦⩻⨪((↩(⪎⋱⫍228A+⪎⋱⫍26A9))⇼⇔∾(⨰⫟⨤(⪎⋱⫍BCA⊉≛↸⪎⋱⫍B36)))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":15384,"operation_count":6,"complexity_ratio":2564.0,"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":4846,"base":13},"right_expr":{"type":"numeric_atoms","value":5547,"base":13}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2025,"base":13},"right_expr":{"type":"numeric_atoms","value":1904,"base":13}}}}},"used_operators":["2td37pGCOC","tifHPKVTfV","jLgFTUHLKL","W4YGzv6Whe","Tw270M8GLb","DZ8iAZOCBD"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4846","layer":4},{"info":"number node, value=5547","layer":4},{"info":"compute binary expreesion, left_input=4846, right_input=5547, op_id = W4YGzv6Whe binary_op_definition= 'None', output=10393","layer":3},{"info":"compute unary expreesion, input=10393, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-80364","layer":2},{"info":"number node, value=2025","layer":4},{"info":"number node, value=1904","layer":4},{"info":"compute binary expreesion, left_input=2025, right_input=1904, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=4050","layer":3},{"info":"compute unary expreesion, input=4050, 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=-80364, 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 = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⩦⩻⨪((↩(⪎⋱⫍228A+⪎⋱⫍26A9))⇼⇔∾(⨰⫟⨤(⪎⋱⫍BCA⊉≛↸⪎⋱⫍B36)))=NaN","reverse_text":"NaN=⩦⩻⨪((↩(⪎⋱⫍228A+⪎⋱⫍26A9))⇼⇔∾(⨰⫟⨤(⪎⋱⫍BCA⊉≛↸⪎⋱⫍B36)))","cot":[{"info":"⪎⋱⫍228A+⪎⋱⫍26A9=⪎⋱⫍4966","layer":3},{"info":"↩⪎⋱⫍4966=⪎⋱⫍-2A76B","layer":2},{"info":"⪎⋱⫍BCA⊉≛↸⪎⋱⫍B36=⪎⋱⫍1AC7","layer":3},{"info":"⨰⫟⨤⪎⋱⫍1AC7=NaN","layer":2},{"info":"⪎⋱⫍-2A76B⇼⇔∾NaN=NaN","layer":1},{"info":"⩦⩻⨪NaN=NaN","layer":0}]}
{"id":36,"expression_no_base_symbol":"(($1770$⫸⊐$2589$)⫸⊐$1080$⪄$8451$⨵⪆(↔$4624$)⪮%⊝($1594$⨪↰⇹$1947$))⨽((≤/$4195$)⫸⊐$1016$⨽$5877$-$1806$⩷∴$2961$⪄($2386$%$1646$))","expression":"((⪎⋱⫍A62⫸⊐⪎⋱⫍1242)⫸⊐⪎⋱⫍651⪄⪎⋱⫍3B01⨵⪆(↔⪎⋱⫍2149)⪮%⊝(⪎⋱⫍958⨪↰⇹⪎⋱⫍B6A))⨽((≤/⪎⋱⫍1BA9)⫸⊐⪎⋱⫍602⨽⪎⋱⫍28A1-⪎⋱⫍A8C⩷∴⪎⋱⫍146A⪄(⪎⋱⫍1117%⪎⋱⫍998))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3052,"operation_count":15,"complexity_ratio":203.46666666666667,"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":1770,"base":13},"right_expr":{"type":"numeric_atoms","value":2589,"base":13}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1080,"base":13},"right_expr":{"type":"numeric_atoms","value":8451,"base":13}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":4624,"base":13}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1594,"base":13},"right_expr":{"type":"numeric_atoms","value":1947,"base":13}}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":4195,"base":13}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1016,"base":13},"right_expr":{"type":"numeric_atoms","value":5877,"base":13}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1806,"base":13},"right_expr":{"type":"numeric_atoms","value":2961,"base":13}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2386,"base":13},"right_expr":{"type":"numeric_atoms","value":1646,"base":13}}}}},"used_operators":["8HhzD0ZcuI","2DQ55sFlQl","mqXw5SEYmG","SUmda5xLS4","IWmyXbctLI","ruOEQAzv1W","tmPS8pqC7x","rysDP5nf3Z","eLAdDNolq6","9FxExcQeMw","k8jYdgA6NY"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rJVOvQCfKK","rysDP5nf3Z","rysDP5nf3Z","rysDP5nf3Z"],"result":"⪎⋱⫍-2432A","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1770","layer":4},{"info":"number node, value=2589","layer":4},{"info":"compute binary expreesion, left_input=1770, right_input=2589, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=10231","layer":3},{"info":"number node, value=1080","layer":4},{"info":"number node, value=8451","layer":4},{"info":"compute binary expreesion, left_input=1080, right_input=8451, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-189733","layer":3},{"info":"compute binary expreesion, left_input=10231, right_input=-189733, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=-379595","layer":2},{"info":"number node, value=4624","layer":4},{"info":"compute unary expreesion, input=4624, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-4351","layer":3},{"info":"number node, value=1594","layer":4},{"info":"number node, value=1947","layer":4},{"info":"compute binary expreesion, left_input=1594, right_input=1947, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1594","layer":3},{"info":"compute binary expreesion, left_input=-4351, right_input=1594, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-8386","layer":2},{"info":"compute binary expreesion, left_input=-379595, right_input=-8386, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=4195","layer":4},{"info":"compute unary expreesion, input=4195, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-3711","layer":3},{"info":"number node, value=1016","layer":4},{"info":"number node, value=5877","layer":4},{"info":"compute binary expreesion, left_input=1016, right_input=5877, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-3113085","layer":3},{"info":"compute binary expreesion, left_input=-3711, right_input=-3113085, 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=1806","layer":4},{"info":"number node, value=2961","layer":4},{"info":"compute binary expreesion, left_input=1806, right_input=2961, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-2342","layer":3},{"info":"number node, value=2386","layer":4},{"info":"number node, value=1646","layer":4},{"info":"compute binary expreesion, left_input=2386, right_input=1646, op_id = k8jYdgA6NY binary_op_definition= 'None', output=740","layer":3},{"info":"compute binary expreesion, left_input=-2342, right_input=740, 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=968, right_input=3979, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-3011","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=-3011, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-66453","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍A62⫸⊐⪎⋱⫍1242)⫸⊐⪎⋱⫍651⪄⪎⋱⫍3B01⨵⪆(↔⪎⋱⫍2149)⪮%⊝(⪎⋱⫍958⨪↰⇹⪎⋱⫍B6A))⨽((≤/⪎⋱⫍1BA9)⫸⊐⪎⋱⫍602⨽⪎⋱⫍28A1-⪎⋱⫍A8C⩷∴⪎⋱⫍146A⪄(⪎⋱⫍1117%⪎⋱⫍998))=⪎⋱⫍-2432A","reverse_text":"⪎⋱⫍-2432A=((⪎⋱⫍A62⫸⊐⪎⋱⫍1242)⫸⊐⪎⋱⫍651⪄⪎⋱⫍3B01⨵⪆(↔⪎⋱⫍2149)⪮%⊝(⪎⋱⫍958⨪↰⇹⪎⋱⫍B6A))⨽((≤/⪎⋱⫍1BA9)⫸⊐⪎⋱⫍602⨽⪎⋱⫍28A1-⪎⋱⫍A8C⩷∴⪎⋱⫍146A⪄(⪎⋱⫍1117%⪎⋱⫍998))","cot":[{"info":"⪎⋱⫍A62⫸⊐⪎⋱⫍1242=⪎⋱⫍4870","layer":3},{"info":"⪎⋱⫍651⪄⪎⋱⫍3B01=⪎⋱⫍-6848B","layer":3},{"info":"⪎⋱⫍4870⫸⊐⪎⋱⫍-6848B=⪎⋱⫍-103A18","layer":2},{"info":"↔⪎⋱⫍2149=⪎⋱⫍-1C99","layer":3},{"info":"⪎⋱⫍958⨪↰⇹⪎⋱⫍B6A=⪎⋱⫍958","layer":3},{"info":"⪎⋱⫍-1C99⪮%⊝⪎⋱⫍958=⪎⋱⫍-3A81","layer":2},{"info":"⪎⋱⫍-103A18⨵⪆⪎⋱⫍-3A81=⪎⋱⫍C4","layer":1},{"info":"≤/⪎⋱⫍1BA9=⪎⋱⫍-18C6","layer":3},{"info":"⪎⋱⫍602⨽⪎⋱⫍28A1=⪎⋱⫍-84CC81","layer":3},{"info":"⪎⋱⫍-18C6⫸⊐⪎⋱⫍-84CC81=⪎⋱⫍596","layer":2},{"info":"⪎⋱⫍A8C⩷∴⪎⋱⫍146A=⪎⋱⫍-10B2","layer":3},{"info":"⪎⋱⫍1117%⪎⋱⫍998=⪎⋱⫍44C","layer":3},{"info":"⪎⋱⫍-10B2⪄⪎⋱⫍44C=⪎⋱⫍1A71","layer":2},{"info":"⪎⋱⫍596-⪎⋱⫍1A71=⪎⋱⫍-14A8","layer":1},{"info":"⪎⋱⫍C4⨽⪎⋱⫍-14A8=⪎⋱⫍-2432A","layer":0}]}
{"id":37,"expression_no_base_symbol":"↯⪼((⩦⩻⨪$1296$)*($3948$⫡⨏$1072$))⨟⋌⩍(($4144$⨸⪁$9398$)⩚⊴⇥(-$1265$))","expression":"↯⪼((⩦⩻⨪⪎⋱⫍789)*(⪎⋱⫍1A49⫡⨏⪎⋱⫍646))⨟⋌⩍((⪎⋱⫍1B6A⨸⪁⪎⋱⫍437C)⩚⊴⇥(-⪎⋱⫍764))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1345,"operation_count":8,"complexity_ratio":168.125,"tree":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":1296,"base":13}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":3948,"base":13},"right_expr":{"type":"numeric_atoms","value":1072,"base":13}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":4144,"base":13},"right_expr":{"type":"numeric_atoms","value":9398,"base":13}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1265,"base":13}}}}},"used_operators":["8jW3W4yZS5","rGHVDoGpnC","9HNa5Wba9A","2td37pGCOC","QMFrweE19q","NTOWxs364D","g55IO6H4Gj","t8gj7n24qd"],"dependent_operators":["eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","Tcnh7f0tEr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe"],"result":"⪎⋱⫍-18","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1296","layer":4},{"info":"compute unary expreesion, input=1296, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1296","layer":3},{"info":"number node, value=3948","layer":4},{"info":"number node, value=1072","layer":4},{"info":"compute binary expreesion, left_input=3948, right_input=1072, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=22667","layer":3},{"info":"compute binary expreesion, left_input=1296, right_input=22667, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=29376432","layer":2},{"info":"number node, value=4144","layer":4},{"info":"number node, value=9398","layer":4},{"info":"compute binary expreesion, left_input=4144, right_input=9398, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=27084","layer":3},{"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":"compute binary expreesion, left_input=27084, right_input=-1265, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-25940","layer":2},{"info":"compute binary expreesion, left_input=29376432, right_input=-25940, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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 = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":0}],"base":13,"result_base":13,"text":"↯⪼((⩦⩻⨪⪎⋱⫍789)*(⪎⋱⫍1A49⫡⨏⪎⋱⫍646))⨟⋌⩍((⪎⋱⫍1B6A⨸⪁⪎⋱⫍437C)⩚⊴⇥(-⪎⋱⫍764))=⪎⋱⫍-18","reverse_text":"⪎⋱⫍-18=↯⪼((⩦⩻⨪⪎⋱⫍789)*(⪎⋱⫍1A49⫡⨏⪎⋱⫍646))⨟⋌⩍((⪎⋱⫍1B6A⨸⪁⪎⋱⫍437C)⩚⊴⇥(-⪎⋱⫍764))","cot":[{"info":"⩦⩻⨪⪎⋱⫍789=⪎⋱⫍789","layer":3},{"info":"⪎⋱⫍1A49⫡⨏⪎⋱⫍646=⪎⋱⫍A418","layer":3},{"info":"⪎⋱⫍789*⪎⋱⫍A418=⪎⋱⫍6117207","layer":2},{"info":"⪎⋱⫍1B6A⨸⪁⪎⋱⫍437C=⪎⋱⫍C435","layer":3},{"info":"-⪎⋱⫍764=⪎⋱⫍-764","layer":3},{"info":"⪎⋱⫍C435⩚⊴⇥⪎⋱⫍-764=⪎⋱⫍-BA65","layer":2},{"info":"⪎⋱⫍6117207⨟⋌⩍⪎⋱⫍-BA65=NaN","layer":1},{"info":"↯⪼NaN=⪎⋱⫍-18","layer":0}]}
{"id":38,"expression_no_base_symbol":"(⫛⫱⨽($2787$⊭∹↮))⨎($2502$⨽$2486$⪒$1747$⨟⋌⩍$1564$)⊠≄⫣","expression":"(⫛⫱⨽(⪎⋱⫍1365⊭∹↮))⨎(⪎⋱⫍11A6⨽⪎⋱⫍1193⪒⪎⋱⫍A45⨟⋌⩍⪎⋱⫍934)⊠≄⫣","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3947,"operation_count":7,"complexity_ratio":563.8571428571429,"tree":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":2787,"base":13}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2502,"base":13},"right_expr":{"type":"numeric_atoms","value":2486,"base":13}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1747,"base":13},"right_expr":{"type":"numeric_atoms","value":1564,"base":13}}}}},"used_operators":["DIvbN7qnHd","rJVOvQCfKK","DlLNRPXxWL","xNBdhnnwKq","f6k1SAg4EE","8HhzD0ZcuI","rGHVDoGpnC"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rGHVDoGpnC","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2787","layer":4},{"info":"compute unary expreesion, input=2787, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=5574","layer":3},{"info":"compute unary expreesion, input=5574, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"number node, value=2502","layer":4},{"info":"number node, value=2486","layer":4},{"info":"compute binary expreesion, left_input=2502, right_input=2486, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-18786156","layer":3},{"info":"number node, value=1747","layer":4},{"info":"number node, value=1564","layer":4},{"info":"compute binary expreesion, left_input=1747, 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":"compute binary expreesion, left_input=-18786156, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 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 = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⫛⫱⨽(⪎⋱⫍1365⊭∹↮))⨎(⪎⋱⫍11A6⨽⪎⋱⫍1193⪒⪎⋱⫍A45⨟⋌⩍⪎⋱⫍934)⊠≄⫣=NaN","reverse_text":"NaN=(⫛⫱⨽(⪎⋱⫍1365⊭∹↮))⨎(⪎⋱⫍11A6⨽⪎⋱⫍1193⪒⪎⋱⫍A45⨟⋌⩍⪎⋱⫍934)⊠≄⫣","cot":[{"info":"⪎⋱⫍1365⊭∹↮=⪎⋱⫍26CA","layer":3},{"info":"⫛⫱⨽⪎⋱⫍26CA=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍11A6⨽⪎⋱⫍1193=⪎⋱⫍-3B79A8C","layer":3},{"info":"⪎⋱⫍A45⨟⋌⩍⪎⋱⫍934=NaN","layer":3},{"info":"⪎⋱⫍-3B79A8C⪒NaN=NaN","layer":2},{"info":"⪎⋱⫍0⨎NaN=NaN","layer":1},{"info":"NaN⊠≄⫣=NaN","layer":0}]}
{"id":39,"expression_no_base_symbol":"(↽≂(⫓⪴$1192$)⨟⋌⩍($4361$⨐⩸⫘$2633$))⋷(($1688$⫡⨏$5314$)⨸⪁(⨑⩽⪐$2599$))⨰(⊄⩳↩($5445$⩚⊴⇥$5086$))","expression":"(↽≂(⫓⪴⪎⋱⫍709)⨟⋌⩍(⪎⋱⫍1CA6⨐⩸⫘⪎⋱⫍1277))⋷((⪎⋱⫍9CB⫡⨏⪎⋱⫍255A)⨸⪁(⨑⩽⪐⪎⋱⫍124C))⨰(⊄⩳↩(⪎⋱⫍262B⩚⊴⇥⪎⋱⫍2413))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1225,"operation_count":11,"complexity_ratio":111.36363636363636,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":1192,"base":13}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":4361,"base":13},"right_expr":{"type":"numeric_atoms","value":2633,"base":13}}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1688,"base":13},"right_expr":{"type":"numeric_atoms","value":5314,"base":13}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":2599,"base":13}}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":5445,"base":13},"right_expr":{"type":"numeric_atoms","value":5086,"base":13}}}}},"used_operators":["23Mk6UjR3U","u6S6b8DprG","rGHVDoGpnC","eLxqMNBOBk","fu6greOZ01","eewbuw0ToL","g55IO6H4Gj","QMFrweE19q","AF7qkfDlqP","8w2t5hMYqp","NTOWxs364D"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","9HNa5Wba9A","3ViojmjbAp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1192","layer":4},{"info":"compute unary expreesion, input=1192, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=1420864","layer":3},{"info":"number node, value=4361","layer":4},{"info":"number node, value=2633","layer":4},{"info":"compute binary expreesion, left_input=4361, right_input=2633, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=1420864, 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 = 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=1688","layer":4},{"info":"number node, value=5314","layer":4},{"info":"compute binary expreesion, left_input=1688, right_input=5314, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=19851","layer":3},{"info":"number node, value=2599","layer":4},{"info":"compute unary expreesion, input=2599, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-2326","layer":3},{"info":"compute binary expreesion, left_input=19851, right_input=-2326, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=35050","layer":2},{"info":"number node, value=5445","layer":4},{"info":"number node, value=5086","layer":4},{"info":"compute binary expreesion, left_input=5445, right_input=5086, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-10652","layer":3},{"info":"compute unary expreesion, input=-10652, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=31956","layer":2},{"info":"compute binary expreesion, left_input=35050, right_input=31956, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=3104","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=3104, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(↽≂(⫓⪴⪎⋱⫍709)⨟⋌⩍(⪎⋱⫍1CA6⨐⩸⫘⪎⋱⫍1277))⋷((⪎⋱⫍9CB⫡⨏⪎⋱⫍255A)⨸⪁(⨑⩽⪐⪎⋱⫍124C))⨰(⊄⩳↩(⪎⋱⫍262B⩚⊴⇥⪎⋱⫍2413))=NaN","reverse_text":"NaN=(↽≂(⫓⪴⪎⋱⫍709)⨟⋌⩍(⪎⋱⫍1CA6⨐⩸⫘⪎⋱⫍1277))⋷((⪎⋱⫍9CB⫡⨏⪎⋱⫍255A)⨸⪁(⨑⩽⪐⪎⋱⫍124C))⨰(⊄⩳↩(⪎⋱⫍262B⩚⊴⇥⪎⋱⫍2413))","cot":[{"info":"⫓⪴⪎⋱⫍709=⪎⋱⫍3A9963","layer":3},{"info":"⪎⋱⫍1CA6⨐⩸⫘⪎⋱⫍1277=NaN","layer":3},{"info":"⪎⋱⫍3A9963⨟⋌⩍NaN=NaN","layer":2},{"info":"↽≂NaN=NaN","layer":1},{"info":"⪎⋱⫍9CB⫡⨏⪎⋱⫍255A=⪎⋱⫍9060","layer":3},{"info":"⨑⩽⪐⪎⋱⫍124C=⪎⋱⫍-109C","layer":3},{"info":"⪎⋱⫍9060⨸⪁⪎⋱⫍-109C=⪎⋱⫍12C52","layer":2},{"info":"⪎⋱⫍262B⩚⊴⇥⪎⋱⫍2413=⪎⋱⫍-4B05","layer":3},{"info":"⊄⩳↩⪎⋱⫍-4B05=⪎⋱⫍11712","layer":2},{"info":"⪎⋱⫍12C52⨰⪎⋱⫍11712=⪎⋱⫍154A","layer":1},{"info":"NaN⋷⪎⋱⫍154A=NaN","layer":0}]}
{"id":40,"expression_no_base_symbol":"≦∁(⨑⩽⪐$4380$⨰$7242$)⨽$6731$⨓$3827$≎⊠⪸$1521$↬$5314$","expression":"≦∁(⨑⩽⪐⪎⋱⫍1CBC⨰⪎⋱⫍33B1)⨽⪎⋱⫍30AA⨓⪎⋱⫍1985≎⊠⪸⪎⋱⫍900↬⪎⋱⫍255A","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":430572,"operation_count":7,"complexity_ratio":61510.28571428572,"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":4380,"base":13},"right_expr":{"type":"numeric_atoms","value":7242,"base":13}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":6731,"base":13},"right_expr":{"type":"numeric_atoms","value":3827,"base":13}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1521,"base":13},"right_expr":{"type":"numeric_atoms","value":5314,"base":13}}}}},"used_operators":["9ICcGScMcE","8HhzD0ZcuI","AF7qkfDlqP","eewbuw0ToL","bJkvcejdHO","3ViojmjbAp","B5M0gjZbta"],"dependent_operators":["XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rGHVDoGpnC"],"result":"⪎⋱⫍52","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4380","layer":4},{"info":"number node, value=7242","layer":4},{"info":"compute binary expreesion, left_input=4380, right_input=7242, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-2852","layer":3},{"info":"compute unary expreesion, input=-2852, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=6493","layer":2},{"info":"number node, value=6731","layer":4},{"info":"number node, value=3827","layer":4},{"info":"compute binary expreesion, left_input=6731, right_input=3827, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3830","layer":3},{"info":"number node, value=1521","layer":4},{"info":"number node, value=5314","layer":4},{"info":"compute binary expreesion, left_input=1521, right_input=5314, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=-3830, 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=6493, right_input=67, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-126476034","layer":1},{"info":"compute unary expreesion, input=-126476034, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=67","layer":0}],"base":13,"result_base":13,"text":"≦∁(⨑⩽⪐⪎⋱⫍1CBC⨰⪎⋱⫍33B1)⨽⪎⋱⫍30AA⨓⪎⋱⫍1985≎⊠⪸⪎⋱⫍900↬⪎⋱⫍255A=⪎⋱⫍52","reverse_text":"⪎⋱⫍52=≦∁(⨑⩽⪐⪎⋱⫍1CBC⨰⪎⋱⫍33B1)⨽⪎⋱⫍30AA⨓⪎⋱⫍1985≎⊠⪸⪎⋱⫍900↬⪎⋱⫍255A","cot":[{"info":"⪎⋱⫍1CBC⨰⪎⋱⫍33B1=⪎⋱⫍-13B5","layer":3},{"info":"⨑⩽⪐⪎⋱⫍-13B5=⪎⋱⫍2C56","layer":2},{"info":"⪎⋱⫍30AA⨓⪎⋱⫍1985=⪎⋱⫍-1988","layer":3},{"info":"⪎⋱⫍900↬⪎⋱⫍255A=NaN","layer":3},{"info":"⪎⋱⫍-1988≎⊠⪸NaN=⪎⋱⫍52","layer":2},{"info":"⪎⋱⫍2C56⨽⪎⋱⫍52=⪎⋱⫍-202837B9","layer":1},{"info":"≦∁⪎⋱⫍-202837B9=⪎⋱⫍52","layer":0}]}
{"id":41,"expression_no_base_symbol":"((⊄⩳↩($1386$*$3757$))↙($3162$∼$2326$⨵⪆$1695$≹⇙⪍$5455$))⪘⫢(($4422$⨰$1404$⨸⪁$3683$⋳⪒$2044$)⪄(⇁⨣⪵$1163$)⫥∨⫟($1066$⇼⇔∾$8241$))","expression":"((⊄⩳↩(⪎⋱⫍828*⪎⋱⫍1930))↙(⪎⋱⫍1593∼⪎⋱⫍109C⨵⪆⪎⋱⫍A05≹⇙⪍⪎⋱⫍2638))⪘⫢((⪎⋱⫍2022⨰⪎⋱⫍840⨸⪁⪎⋱⫍18A4⋳⪒⪎⋱⫍C13)⪄(⇁⨣⪵⪎⋱⫍6B6)⫥∨⫟(⪎⋱⫍640⇼⇔∾⪎⋱⫍399C))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1732,"operation_count":14,"complexity_ratio":123.71428571428571,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1386,"base":13},"right_expr":{"type":"numeric_atoms","value":3757,"base":13}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":3162,"base":13},"right_expr":{"type":"numeric_atoms","value":2326,"base":13}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1695,"base":13},"right_expr":{"type":"numeric_atoms","value":5455,"base":13}}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":4422,"base":13},"right_expr":{"type":"numeric_atoms","value":1404,"base":13}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":3683,"base":13},"right_expr":{"type":"numeric_atoms","value":2044,"base":13}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1163,"base":13}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1066,"base":13},"right_expr":{"type":"numeric_atoms","value":8241,"base":13}}}}},"used_operators":["oacrs7FA3X","yyfyN0ffXY","8w2t5hMYqp","9HNa5Wba9A","2DQ55sFlQl","DyGG3AbaNP","AHs5Up7iyr","SUmda5xLS4","g55IO6H4Gj","eewbuw0ToL","12rbrZMWeM","KYD54nUTWz","inkyxCbjAn","tifHPKVTfV"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","dWAJyo7jo9","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","B5M0gjZbta","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1386","layer":4},{"info":"number node, value=3757","layer":4},{"info":"compute binary expreesion, left_input=1386, right_input=3757, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=5207202","layer":3},{"info":"compute unary expreesion, input=5207202, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-15621606","layer":2},{"info":"number node, value=3162","layer":4},{"info":"number node, value=2326","layer":4},{"info":"compute binary expreesion, left_input=3162, right_input=2326, 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=1695","layer":4},{"info":"number node, value=5455","layer":4},{"info":"compute binary expreesion, left_input=1695, right_input=5455, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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 = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=-15621606, right_input=160, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-15621606","layer":1},{"info":"number node, value=4422","layer":4},{"info":"number node, value=1404","layer":4},{"info":"compute binary expreesion, left_input=4422, right_input=1404, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=3028","layer":3},{"info":"number node, value=3683","layer":4},{"info":"number node, value=2044","layer":4},{"info":"compute binary expreesion, left_input=3683, right_input=2044, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=5035","layer":3},{"info":"compute binary expreesion, left_input=3028, right_input=5035, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=16126","layer":2},{"info":"number node, value=1163","layer":4},{"info":"compute unary expreesion, input=1163, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=1066","layer":4},{"info":"number node, value=8241","layer":4},{"info":"compute binary expreesion, left_input=1066, right_input=8241, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=7175","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=7175, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=16126, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-15621606, 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":13,"result_base":13,"text":"((⊄⩳↩(⪎⋱⫍828*⪎⋱⫍1930))↙(⪎⋱⫍1593∼⪎⋱⫍109C⨵⪆⪎⋱⫍A05≹⇙⪍⪎⋱⫍2638))⪘⫢((⪎⋱⫍2022⨰⪎⋱⫍840⨸⪁⪎⋱⫍18A4⋳⪒⪎⋱⫍C13)⪄(⇁⨣⪵⪎⋱⫍6B6)⫥∨⫟(⪎⋱⫍640⇼⇔∾⪎⋱⫍399C))=NaN","reverse_text":"NaN=((⊄⩳↩(⪎⋱⫍828*⪎⋱⫍1930))↙(⪎⋱⫍1593∼⪎⋱⫍109C⨵⪆⪎⋱⫍A05≹⇙⪍⪎⋱⫍2638))⪘⫢((⪎⋱⫍2022⨰⪎⋱⫍840⨸⪁⪎⋱⫍18A4⋳⪒⪎⋱⫍C13)⪄(⇁⨣⪵⪎⋱⫍6B6)⫥∨⫟(⪎⋱⫍640⇼⇔∾⪎⋱⫍399C))","cot":[{"info":"⪎⋱⫍828*⪎⋱⫍1930=⪎⋱⫍11041B0","layer":3},{"info":"⊄⩳↩⪎⋱⫍11041B0=⪎⋱⫍-330C570","layer":2},{"info":"⪎⋱⫍1593∼⪎⋱⫍109C=NaN","layer":3},{"info":"⪎⋱⫍A05≹⇙⪍⪎⋱⫍2638=NaN","layer":3},{"info":"NaN⨵⪆NaN=⪎⋱⫍C4","layer":2},{"info":"⪎⋱⫍-330C570↙⪎⋱⫍C4=⪎⋱⫍-330C570","layer":1},{"info":"⪎⋱⫍2022⨰⪎⋱⫍840=⪎⋱⫍14BC","layer":3},{"info":"⪎⋱⫍18A4⋳⪒⪎⋱⫍C13=⪎⋱⫍23A4","layer":3},{"info":"⪎⋱⫍14BC⨸⪁⪎⋱⫍23A4=⪎⋱⫍7456","layer":2},{"info":"⇁⨣⪵⪎⋱⫍6B6=NaN","layer":3},{"info":"⪎⋱⫍640⇼⇔∾⪎⋱⫍399C=⪎⋱⫍335C","layer":3},{"info":"NaN⫥∨⫟⪎⋱⫍335C=NaN","layer":2},{"info":"⪎⋱⫍7456⪄NaN=NaN","layer":1},{"info":"⪎⋱⫍-330C570⪘⫢NaN=NaN","layer":0}]}
{"id":42,"expression_no_base_symbol":"(≦∁$2060$)↺$2523$⨪↰⇹$6259$-($1148$⨟⋌⩍$5940$⋷$1942$⪒$2282$)⨵⪆(⋗⩬⋾($6529$%$3318$))%(≉$1082$)⪢($2072$/$3622$)","expression":"(≦∁⪎⋱⫍C26)↺⪎⋱⫍11C1⨪↰⇹⪎⋱⫍2B06-(⪎⋱⫍6A4⨟⋌⩍⪎⋱⫍291C⋷⪎⋱⫍B65⪒⪎⋱⫍1067)⨵⪆(⋗⩬⋾(⪎⋱⫍2C83%⪎⋱⫍1683))%(≉⪎⋱⫍653)⪢(⪎⋱⫍C35/⪎⋱⫍1858)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2543,"operation_count":14,"complexity_ratio":181.64285714285714,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":2060,"base":13}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2523,"base":13},"right_expr":{"type":"numeric_atoms","value":6259,"base":13}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1148,"base":13},"right_expr":{"type":"numeric_atoms","value":5940,"base":13}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1942,"base":13},"right_expr":{"type":"numeric_atoms","value":2282,"base":13}}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":6529,"base":13},"right_expr":{"type":"numeric_atoms","value":3318,"base":13}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1082,"base":13}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2072,"base":13},"right_expr":{"type":"numeric_atoms","value":3622,"base":13}}}}},"used_operators":["2DQ55sFlQl","rysDP5nf3Z","7j4O788W3g","9ICcGScMcE","tmPS8pqC7x","23Mk6UjR3U","rGHVDoGpnC","f6k1SAg4EE","k8jYdgA6NY","DpFCA1CohY","dWAJyo7jo9","e1ybzncUwg","XhwjNDsVaA"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"⪎⋱⫍C4","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2060","layer":4},{"info":"compute unary expreesion, input=2060, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=2060","layer":3},{"info":"number node, value=2523","layer":4},{"info":"number node, value=6259","layer":4},{"info":"compute binary expreesion, left_input=2523, right_input=6259, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=2523","layer":3},{"info":"compute binary expreesion, left_input=2060, right_input=2523, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2523","layer":2},{"info":"number node, value=1148","layer":4},{"info":"number node, value=5940","layer":4},{"info":"compute binary expreesion, left_input=1148, right_input=5940, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=1942","layer":4},{"info":"number node, value=2282","layer":4},{"info":"compute binary expreesion, left_input=1942, right_input=2282, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4224","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-4224, 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=2523, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=6529","layer":4},{"info":"number node, value=3318","layer":4},{"info":"compute binary expreesion, left_input=6529, right_input=3318, op_id = k8jYdgA6NY binary_op_definition= 'None', output=3211","layer":3},{"info":"compute unary expreesion, input=3211, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-9633","layer":2},{"info":"number node, value=1082","layer":4},{"info":"compute unary expreesion, input=1082, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=1613","layer":3},{"info":"number node, value=2072","layer":4},{"info":"number node, value=3622","layer":4},{"info":"compute binary expreesion, left_input=2072, right_input=3622, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute binary expreesion, left_input=1613, 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=-9633, right_input=0, op_id = k8jYdgA6NY binary_op_definition= 'None', 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":13,"result_base":13,"text":"(≦∁⪎⋱⫍C26)↺⪎⋱⫍11C1⨪↰⇹⪎⋱⫍2B06-(⪎⋱⫍6A4⨟⋌⩍⪎⋱⫍291C⋷⪎⋱⫍B65⪒⪎⋱⫍1067)⨵⪆(⋗⩬⋾(⪎⋱⫍2C83%⪎⋱⫍1683))%(≉⪎⋱⫍653)⪢(⪎⋱⫍C35/⪎⋱⫍1858)=⪎⋱⫍C4","reverse_text":"⪎⋱⫍C4=(≦∁⪎⋱⫍C26)↺⪎⋱⫍11C1⨪↰⇹⪎⋱⫍2B06-(⪎⋱⫍6A4⨟⋌⩍⪎⋱⫍291C⋷⪎⋱⫍B65⪒⪎⋱⫍1067)⨵⪆(⋗⩬⋾(⪎⋱⫍2C83%⪎⋱⫍1683))%(≉⪎⋱⫍653)⪢(⪎⋱⫍C35/⪎⋱⫍1858)","cot":[{"info":"≦∁⪎⋱⫍C26=⪎⋱⫍C26","layer":3},{"info":"⪎⋱⫍11C1⨪↰⇹⪎⋱⫍2B06=⪎⋱⫍11C1","layer":3},{"info":"⪎⋱⫍C26↺⪎⋱⫍11C1=⪎⋱⫍11C1","layer":2},{"info":"⪎⋱⫍6A4⨟⋌⩍⪎⋱⫍291C=NaN","layer":3},{"info":"⪎⋱⫍B65⪒⪎⋱⫍1067=⪎⋱⫍-1BCC","layer":3},{"info":"NaN⋷⪎⋱⫍-1BCC=NaN","layer":2},{"info":"⪎⋱⫍11C1-NaN=NaN","layer":1},{"info":"⪎⋱⫍2C83%⪎⋱⫍1683=⪎⋱⫍1600","layer":3},{"info":"⋗⩬⋾⪎⋱⫍1600=⪎⋱⫍-4500","layer":2},{"info":"≉⪎⋱⫍653=⪎⋱⫍971","layer":3},{"info":"⪎⋱⫍C35/⪎⋱⫍1858=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍971⪢⪎⋱⫍0=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍-4500%⪎⋱⫍0=NaN","layer":1},{"info":"NaN⨵⪆NaN=⪎⋱⫍C4","layer":0}]}
{"id":43,"expression_no_base_symbol":"$1130$∼$1119$⨳⩥⨓($2608$⊭∹↮)⩨($1122$∧)≭(⨈⫕$7484$)≋⫹","expression":"⪎⋱⫍68C∼⪎⋱⫍681⨳⩥⨓(⪎⋱⫍1258⊭∹↮)⩨(⪎⋱⫍684∧)≭(⨈⫕⪎⋱⫍3539)≋⫹","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":936,"operation_count":8,"complexity_ratio":117.0,"tree":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1130,"base":13},"right_expr":{"type":"numeric_atoms","value":1119,"base":13}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":2608,"base":13}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":1122,"base":13}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":7484,"base":13}}}}},"used_operators":["N41Kp7NANJ","2DlMacCsIx","nCS4ZIUYfx","DyGG3AbaNP","xNBdhnnwKq","rxpJgHHUmx","z63VuFQld9","megm06wKyl"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","rysDP5nf3Z","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","AHs5Up7iyr","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1130","layer":4},{"info":"number node, value=1119","layer":4},{"info":"compute binary expreesion, left_input=1130, right_input=1119, 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=2608","layer":4},{"info":"compute unary expreesion, input=2608, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=5216","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5216, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":2},{"info":"number node, value=1122","layer":4},{"info":"compute unary expreesion, input=1122, 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=7484","layer":4},{"info":"compute unary expreesion, input=7484, 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 = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍68C∼⪎⋱⫍681⨳⩥⨓(⪎⋱⫍1258⊭∹↮)⩨(⪎⋱⫍684∧)≭(⨈⫕⪎⋱⫍3539)≋⫹=NaN","reverse_text":"NaN=⪎⋱⫍68C∼⪎⋱⫍681⨳⩥⨓(⪎⋱⫍1258⊭∹↮)⩨(⪎⋱⫍684∧)≭(⨈⫕⪎⋱⫍3539)≋⫹","cot":[{"info":"⪎⋱⫍68C∼⪎⋱⫍681=NaN","layer":3},{"info":"⪎⋱⫍1258⊭∹↮=⪎⋱⫍24B3","layer":3},{"info":"NaN⨳⩥⨓⪎⋱⫍24B3=NaN","layer":2},{"info":"⪎⋱⫍684∧=NaN","layer":3},{"info":"⨈⫕⪎⋱⫍3539=⪎⋱⫍-18","layer":3},{"info":"NaN≭⪎⋱⫍-18=NaN","layer":2},{"info":"NaN⩨NaN=NaN","layer":1},{"info":"NaN≋⫹=NaN","layer":0}]}
{"id":44,"expression_no_base_symbol":"((⊄⩳↩$1739$)⨸⪁(⨈⫕$4047$))≎⊠⪸($4594$↙$4459$↺($6781$⫡⨏$1002$))≎⊠⪸((($1799$⊦⊿)+$3828$⨪↰⇹$3316$)⋫)","expression":"((⊄⩳↩⪎⋱⫍A3A)⨸⪁(⨈⫕⪎⋱⫍1AC4))≎⊠⪸(⪎⋱⫍2125↙⪎⋱⫍2050↺(⪎⋱⫍3118⫡⨏⪎⋱⫍5C1))≎⊠⪸(((⪎⋱⫍A85⊦⊿)+⪎⋱⫍1986⨪↰⇹⪎⋱⫍1681)⋫)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":10628,"operation_count":12,"complexity_ratio":885.6666666666666,"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":1739,"base":13}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":4047,"base":13}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":4594,"base":13},"right_expr":{"type":"numeric_atoms","value":4459,"base":13}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":6781,"base":13},"right_expr":{"type":"numeric_atoms","value":1002,"base":13}}}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":1799,"base":13}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":3828,"base":13},"right_expr":{"type":"numeric_atoms","value":3316,"base":13}}}}},"used_operators":["bJkvcejdHO","g55IO6H4Gj","8w2t5hMYqp","megm06wKyl","7j4O788W3g","yyfyN0ffXY","QMFrweE19q","JL8yIekQnl","W4YGzv6Whe","14qkJME0vr","tmPS8pqC7x"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK"],"result":"⪎⋱⫍52","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1739","layer":4},{"info":"compute unary expreesion, input=1739, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-5217","layer":3},{"info":"number node, value=4047","layer":4},{"info":"compute unary expreesion, input=4047, 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=-5217, right_input=-21, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-10476","layer":2},{"info":"number node, value=4594","layer":4},{"info":"number node, value=4459","layer":4},{"info":"compute binary expreesion, left_input=4594, right_input=4459, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-13377","layer":3},{"info":"number node, value=6781","layer":4},{"info":"number node, value=1002","layer":4},{"info":"compute binary expreesion, left_input=6781, right_input=1002, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=36692","layer":3},{"info":"compute binary expreesion, left_input=-13377, right_input=36692, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=36692","layer":2},{"info":"compute binary expreesion, left_input=-10476, right_input=36692, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=2713284","layer":1},{"info":"number node, value=1799","layer":4},{"info":"compute unary expreesion, input=1799, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-5476","layer":3},{"info":"number node, value=3828","layer":4},{"info":"number node, value=3316","layer":4},{"info":"compute binary expreesion, left_input=3828, right_input=3316, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=3828","layer":3},{"info":"compute binary expreesion, left_input=-5476, right_input=3828, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-1648","layer":2},{"info":"compute unary expreesion, input=-1648, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=-1648","layer":1},{"info":"compute binary expreesion, left_input=2713284, right_input=-1648, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":0}],"base":13,"result_base":13,"text":"((⊄⩳↩⪎⋱⫍A3A)⨸⪁(⨈⫕⪎⋱⫍1AC4))≎⊠⪸(⪎⋱⫍2125↙⪎⋱⫍2050↺(⪎⋱⫍3118⫡⨏⪎⋱⫍5C1))≎⊠⪸(((⪎⋱⫍A85⊦⊿)+⪎⋱⫍1986⨪↰⇹⪎⋱⫍1681)⋫)=⪎⋱⫍52","reverse_text":"⪎⋱⫍52=((⊄⩳↩⪎⋱⫍A3A)⨸⪁(⨈⫕⪎⋱⫍1AC4))≎⊠⪸(⪎⋱⫍2125↙⪎⋱⫍2050↺(⪎⋱⫍3118⫡⨏⪎⋱⫍5C1))≎⊠⪸(((⪎⋱⫍A85⊦⊿)+⪎⋱⫍1986⨪↰⇹⪎⋱⫍1681)⋫)","cot":[{"info":"⊄⩳↩⪎⋱⫍A3A=⪎⋱⫍-24B4","layer":3},{"info":"⨈⫕⪎⋱⫍1AC4=⪎⋱⫍-18","layer":3},{"info":"⪎⋱⫍-24B4⨸⪁⪎⋱⫍-18=⪎⋱⫍-49CB","layer":2},{"info":"⪎⋱⫍2125↙⪎⋱⫍2050=⪎⋱⫍-6120","layer":3},{"info":"⪎⋱⫍3118⫡⨏⪎⋱⫍5C1=⪎⋱⫍13916","layer":3},{"info":"⪎⋱⫍-6120↺⪎⋱⫍13916=⪎⋱⫍13916","layer":2},{"info":"⪎⋱⫍-49CB≎⊠⪸⪎⋱⫍13916=⪎⋱⫍73CCC2","layer":1},{"info":"⪎⋱⫍A85⊦⊿=⪎⋱⫍-2653","layer":3},{"info":"⪎⋱⫍1986⨪↰⇹⪎⋱⫍1681=⪎⋱⫍1986","layer":3},{"info":"⪎⋱⫍-2653+⪎⋱⫍1986=⪎⋱⫍-99A","layer":2},{"info":"⪎⋱⫍-99A⋫=⪎⋱⫍-99A","layer":1},{"info":"⪎⋱⫍73CCC2≎⊠⪸⪎⋱⫍-99A=⪎⋱⫍52","layer":0}]}
{"id":45,"expression_no_base_symbol":"≉((($7880$⪒$2407$)⋫)⊉≛↸(≦∁(⊙↵-$3720$)))","expression":"≉(((⪎⋱⫍3782⪒⪎⋱⫍1132)⋫)⊉≛↸(≦∁(⊙↵-⪎⋱⫍1902)))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":14087,"operation_count":6,"complexity_ratio":2347.8333333333335,"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":7880,"base":13},"right_expr":{"type":"numeric_atoms","value":2407,"base":13}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":3720,"base":13}}}}},"used_operators":["e1ybzncUwg","DZ8iAZOCBD","JL8yIekQnl","f6k1SAg4EE","9ICcGScMcE","oWn0xqSxBt"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X"],"result":"⪎⋱⫍97B6","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=7880","layer":4},{"info":"number node, value=2407","layer":4},{"info":"compute binary expreesion, left_input=7880, right_input=2407, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-10287","layer":3},{"info":"compute unary expreesion, input=-10287, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=10287","layer":2},{"info":"number node, value=3720","layer":4},{"info":"compute unary expreesion, input=3720, 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 = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=-310","layer":2},{"info":"compute binary expreesion, left_input=10287, right_input=-310, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=20574","layer":1},{"info":"compute unary expreesion, input=20574, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=21105","layer":0}],"base":13,"result_base":13,"text":"≉(((⪎⋱⫍3782⪒⪎⋱⫍1132)⋫)⊉≛↸(≦∁(⊙↵-⪎⋱⫍1902)))=⪎⋱⫍97B6","reverse_text":"⪎⋱⫍97B6=≉(((⪎⋱⫍3782⪒⪎⋱⫍1132)⋫)⊉≛↸(≦∁(⊙↵-⪎⋱⫍1902)))","cot":[{"info":"⪎⋱⫍3782⪒⪎⋱⫍1132=⪎⋱⫍-48B4","layer":3},{"info":"⪎⋱⫍-48B4⋫=⪎⋱⫍48B4","layer":2},{"info":"⊙↵-⪎⋱⫍1902=⪎⋱⫍-1","layer":3},{"info":"≦∁⪎⋱⫍-1=⪎⋱⫍-1AB","layer":2},{"info":"⪎⋱⫍48B4⊉≛↸⪎⋱⫍-1AB=⪎⋱⫍9498","layer":1},{"info":"≉⪎⋱⫍9498=⪎⋱⫍97B6","layer":0}]}
{"id":46,"expression_no_base_symbol":"((∂$2744$)∲⫓$5363$⨓$1204$)↬(($7542$⋝⋈⪟$1571$)≦≮≮)∲⫓(($2029$⪒$1242$)⨎($2420$⊭↱$3032$)⋷($2189$⨐⩸⫘$2955$)⫥∨⫟$9139$⪛$6048$)","expression":"((∂⪎⋱⫍1331)∲⫓⪎⋱⫍2597⨓⪎⋱⫍718)↬((⪎⋱⫍3582⋝⋈⪟⪎⋱⫍93B)≦≮≮)∲⫓((⪎⋱⫍C01⪒⪎⋱⫍747)⨎(⪎⋱⫍1142⊭↱⪎⋱⫍14C3)⋷(⪎⋱⫍CC5⨐⩸⫘⪎⋱⫍1464)⫥∨⫟⪎⋱⫍4210⪛⪎⋱⫍29A3)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1393,"operation_count":14,"complexity_ratio":99.5,"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":2744,"base":13}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":5363,"base":13},"right_expr":{"type":"numeric_atoms","value":1204,"base":13}}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":7542,"base":13},"right_expr":{"type":"numeric_atoms","value":1571,"base":13}}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2029,"base":13},"right_expr":{"type":"numeric_atoms","value":1242,"base":13}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":2420,"base":13},"right_expr":{"type":"numeric_atoms","value":3032,"base":13}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2189,"base":13},"right_expr":{"type":"numeric_atoms","value":2955,"base":13}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":9139,"base":13},"right_expr":{"type":"numeric_atoms","value":6048,"base":13}}}}},"used_operators":["i8ToyICDmI","B5M0gjZbta","Uaa54Peajs","3ViojmjbAp","D4vGDi5EA2","2DDjHMKMc0","23Mk6UjR3U","rJVOvQCfKK","f6k1SAg4EE","COABgblf1C","KYD54nUTWz","fu6greOZ01","uFcxV4UQCh"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","3ViojmjbAp","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2744","layer":4},{"info":"compute unary expreesion, input=2744, 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=5363","layer":4},{"info":"number node, value=1204","layer":4},{"info":"compute binary expreesion, left_input=5363, right_input=1204, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1207","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1207, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":2},{"info":"number node, value=7542","layer":4},{"info":"number node, value=1571","layer":4},{"info":"compute binary expreesion, left_input=7542, right_input=1571, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=7542","layer":3},{"info":"compute unary expreesion, input=7542, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-22626","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-22626, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=2029","layer":4},{"info":"number node, value=1242","layer":4},{"info":"compute binary expreesion, left_input=2029, right_input=1242, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-3271","layer":3},{"info":"number node, value=2420","layer":4},{"info":"number node, value=3032","layer":4},{"info":"compute binary expreesion, left_input=2420, right_input=3032, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=1229","layer":3},{"info":"compute binary expreesion, left_input=-3271, right_input=1229, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1229","layer":2},{"info":"number node, value=2189","layer":4},{"info":"number node, value=2955","layer":4},{"info":"compute binary expreesion, left_input=2189, right_input=2955, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=9139","layer":4},{"info":"number node, value=6048","layer":4},{"info":"compute binary expreesion, left_input=9139, right_input=6048, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=3091","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3091, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1229, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((∂⪎⋱⫍1331)∲⫓⪎⋱⫍2597⨓⪎⋱⫍718)↬((⪎⋱⫍3582⋝⋈⪟⪎⋱⫍93B)≦≮≮)∲⫓((⪎⋱⫍C01⪒⪎⋱⫍747)⨎(⪎⋱⫍1142⊭↱⪎⋱⫍14C3)⋷(⪎⋱⫍CC5⨐⩸⫘⪎⋱⫍1464)⫥∨⫟⪎⋱⫍4210⪛⪎⋱⫍29A3)=NaN","reverse_text":"NaN=((∂⪎⋱⫍1331)∲⫓⪎⋱⫍2597⨓⪎⋱⫍718)↬((⪎⋱⫍3582⋝⋈⪟⪎⋱⫍93B)≦≮≮)∲⫓((⪎⋱⫍C01⪒⪎⋱⫍747)⨎(⪎⋱⫍1142⊭↱⪎⋱⫍14C3)⋷(⪎⋱⫍CC5⨐⩸⫘⪎⋱⫍1464)⫥∨⫟⪎⋱⫍4210⪛⪎⋱⫍29A3)","cot":[{"info":"∂⪎⋱⫍1331=NaN","layer":3},{"info":"⪎⋱⫍2597⨓⪎⋱⫍718=⪎⋱⫍-71B","layer":3},{"info":"NaN∲⫓⪎⋱⫍-71B=NaN","layer":2},{"info":"⪎⋱⫍3582⋝⋈⪟⪎⋱⫍93B=⪎⋱⫍3582","layer":3},{"info":"⪎⋱⫍3582≦≮≮=⪎⋱⫍-A3B6","layer":2},{"info":"NaN↬⪎⋱⫍-A3B6=NaN","layer":1},{"info":"⪎⋱⫍C01⪒⪎⋱⫍747=⪎⋱⫍-1648","layer":3},{"info":"⪎⋱⫍1142⊭↱⪎⋱⫍14C3=⪎⋱⫍737","layer":3},{"info":"⪎⋱⫍-1648⨎⪎⋱⫍737=⪎⋱⫍737","layer":2},{"info":"⪎⋱⫍CC5⨐⩸⫘⪎⋱⫍1464=NaN","layer":3},{"info":"⪎⋱⫍4210⪛⪎⋱⫍29A3=⪎⋱⫍153A","layer":3},{"info":"NaN⫥∨⫟⪎⋱⫍153A=NaN","layer":2},{"info":"⪎⋱⫍737⋷NaN=NaN","layer":1},{"info":"NaN∲⫓NaN=NaN","layer":0}]}
{"id":47,"expression_no_base_symbol":"(⊙↵-($1120$↬$1389$≭$1062$⨰$7952$))⪢(($2790$*$4658$)+⇶⊼$2511$≹⇙⪍$2297$⪐)","expression":"(⊙↵-(⪎⋱⫍682↬⪎⋱⫍82B≭⪎⋱⫍639⨰⪎⋱⫍3809))⪢((⪎⋱⫍1368*⪎⋱⫍2174)+⇶⊼⪎⋱⫍11B2≹⇙⪍⪎⋱⫍1079⪐)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2830,"operation_count":9,"complexity_ratio":314.44444444444446,"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":1120,"base":13},"right_expr":{"type":"numeric_atoms","value":1389,"base":13}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1062,"base":13},"right_expr":{"type":"numeric_atoms","value":7952,"base":13}}}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2790,"base":13},"right_expr":{"type":"numeric_atoms","value":4658,"base":13}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2511,"base":13},"right_expr":{"type":"numeric_atoms","value":2297,"base":13}}}}},"used_operators":["dWAJyo7jo9","oWn0xqSxBt","rxpJgHHUmx","B5M0gjZbta","eewbuw0ToL","eH2TOUuTDT","TpPTUOHfaN","9HNa5Wba9A","AHs5Up7iyr"],"dependent_operators":["k8jYdgA6NY","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","AHs5Up7iyr","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","W4YGzv6Whe","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1120","layer":4},{"info":"number node, value=1389","layer":4},{"info":"compute binary expreesion, left_input=1120, right_input=1389, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=1062","layer":4},{"info":"number node, value=7952","layer":4},{"info":"compute binary expreesion, left_input=1062, right_input=7952, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-6880","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-6880, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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 = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=nan","layer":1},{"info":"number node, value=2790","layer":4},{"info":"number node, value=4658","layer":4},{"info":"compute binary expreesion, left_input=2790, right_input=4658, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=12995820","layer":3},{"info":"number node, value=2511","layer":4},{"info":"number node, value=2297","layer":4},{"info":"compute binary expreesion, left_input=2511, right_input=2297, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=12995820, right_input=nan, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 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=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":13,"result_base":13,"text":"(⊙↵-(⪎⋱⫍682↬⪎⋱⫍82B≭⪎⋱⫍639⨰⪎⋱⫍3809))⪢((⪎⋱⫍1368*⪎⋱⫍2174)+⇶⊼⪎⋱⫍11B2≹⇙⪍⪎⋱⫍1079⪐)=NaN","reverse_text":"NaN=(⊙↵-(⪎⋱⫍682↬⪎⋱⫍82B≭⪎⋱⫍639⨰⪎⋱⫍3809))⪢((⪎⋱⫍1368*⪎⋱⫍2174)+⇶⊼⪎⋱⫍11B2≹⇙⪍⪎⋱⫍1079⪐)","cot":[{"info":"⪎⋱⫍682↬⪎⋱⫍82B=NaN","layer":3},{"info":"⪎⋱⫍639⨰⪎⋱⫍3809=⪎⋱⫍-3193","layer":3},{"info":"NaN≭⪎⋱⫍-3193=NaN","layer":2},{"info":"⊙↵-NaN=NaN","layer":1},{"info":"⪎⋱⫍1368*⪎⋱⫍2174=⪎⋱⫍2900346","layer":3},{"info":"⪎⋱⫍11B2≹⇙⪍⪎⋱⫍1079=NaN","layer":3},{"info":"⪎⋱⫍2900346+⇶⊼NaN=NaN","layer":2},{"info":"NaN⪐=NaN","layer":1},{"info":"NaN⪢NaN=NaN","layer":0}]}
{"id":48,"expression_no_base_symbol":"((($1537$⨵⪆$1226$)↙$1248$⋥≓≎$3095$)⋥≓≎($4829$≣⋋)⨐⩸⫘(+⊝⨔$2002$))⨽(⨞⊢($2472$≭$4715$)⪛($7192$%$1021$))","expression":"(((⪎⋱⫍913⨵⪆⪎⋱⫍734)↙⪎⋱⫍750⋥≓≎⪎⋱⫍1541)⋥≓≎(⪎⋱⫍2276≣⋋)⨐⩸⫘(+⊝⨔⪎⋱⫍BB0))⨽(⨞⊢(⪎⋱⫍1182≭⪎⋱⫍21B9)⪛(⪎⋱⫍3373%⪎⋱⫍607))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":5630,"operation_count":12,"complexity_ratio":469.1666666666667,"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":1537,"base":13},"right_expr":{"type":"numeric_atoms","value":1226,"base":13}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1248,"base":13},"right_expr":{"type":"numeric_atoms","value":3095,"base":13}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":4829,"base":13}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":2002,"base":13}}}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2472,"base":13},"right_expr":{"type":"numeric_atoms","value":4715,"base":13}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":7192,"base":13},"right_expr":{"type":"numeric_atoms","value":1021,"base":13}}}}},"used_operators":["8HhzD0ZcuI","Qy55tPpLXF","yyfyN0ffXY","2DQ55sFlQl","fu6greOZ01","Tcnh7f0tEr","DhbWaqg5eL","xUOZtlo3hN","uFcxV4UQCh","rxpJgHHUmx","k8jYdgA6NY"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","AHs5Up7iyr","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1537","layer":4},{"info":"number node, value=1226","layer":4},{"info":"compute binary expreesion, left_input=1537, right_input=1226, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=1248","layer":4},{"info":"number node, value=3095","layer":4},{"info":"compute binary expreesion, left_input=1248, right_input=3095, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=4975","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=4975, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-14925","layer":2},{"info":"number node, value=4829","layer":4},{"info":"compute unary expreesion, input=4829, 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=2002","layer":4},{"info":"compute unary expreesion, input=2002, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1522, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=-14925, right_input=nan, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":1},{"info":"number node, value=2472","layer":4},{"info":"number node, value=4715","layer":4},{"info":"compute binary expreesion, left_input=2472, right_input=4715, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=7192","layer":4},{"info":"number node, value=1021","layer":4},{"info":"compute binary expreesion, left_input=7192, right_input=1021, op_id = k8jYdgA6NY binary_op_definition= 'None', output=45","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=45, 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 = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=nan","layer":1},{"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":0}],"base":13,"result_base":13,"text":"(((⪎⋱⫍913⨵⪆⪎⋱⫍734)↙⪎⋱⫍750⋥≓≎⪎⋱⫍1541)⋥≓≎(⪎⋱⫍2276≣⋋)⨐⩸⫘(+⊝⨔⪎⋱⫍BB0))⨽(⨞⊢(⪎⋱⫍1182≭⪎⋱⫍21B9)⪛(⪎⋱⫍3373%⪎⋱⫍607))=NaN","reverse_text":"NaN=(((⪎⋱⫍913⨵⪆⪎⋱⫍734)↙⪎⋱⫍750⋥≓≎⪎⋱⫍1541)⋥≓≎(⪎⋱⫍2276≣⋋)⨐⩸⫘(+⊝⨔⪎⋱⫍BB0))⨽(⨞⊢(⪎⋱⫍1182≭⪎⋱⫍21B9)⪛(⪎⋱⫍3373%⪎⋱⫍607))","cot":[{"info":"⪎⋱⫍913⨵⪆⪎⋱⫍734=⪎⋱⫍C4","layer":3},{"info":"⪎⋱⫍750⋥≓≎⪎⋱⫍1541=⪎⋱⫍2359","layer":3},{"info":"⪎⋱⫍C4↙⪎⋱⫍2359=⪎⋱⫍-6A41","layer":2},{"info":"⪎⋱⫍2276≣⋋=⪎⋱⫍0","layer":3},{"info":"+⊝⨔⪎⋱⫍BB0=⪎⋱⫍901","layer":3},{"info":"⪎⋱⫍0⨐⩸⫘⪎⋱⫍901=NaN","layer":2},{"info":"⪎⋱⫍-6A41⋥≓≎NaN=⪎⋱⫍52","layer":1},{"info":"⪎⋱⫍1182≭⪎⋱⫍21B9=NaN","layer":3},{"info":"⪎⋱⫍3373%⪎⋱⫍607=⪎⋱⫍36","layer":3},{"info":"NaN⪛⪎⋱⫍36=NaN","layer":2},{"info":"⨞⊢NaN=NaN","layer":1},{"info":"⪎⋱⫍52⨽NaN=NaN","layer":0}]}
{"id":49,"expression_no_base_symbol":"($2070$⊴$3213$⫡⨏(⨈⫕$1185$))%(+⊝⨔$7567$)⨎(⫛⫱⨽$2513$)+(⊥(≦∁$3075$))∲⫓($1841$⨵⪆$4390$)⋥≓≎$1289$⨟⋌⩍$4104$","expression":"(⪎⋱⫍C33⊴⪎⋱⫍1602⫡⨏(⨈⫕⪎⋱⫍702))%(+⊝⨔⪎⋱⫍35A1)⨎(⫛⫱⨽⪎⋱⫍11B4)+(⊥(≦∁⪎⋱⫍1527))∲⫓(⪎⋱⫍AB8⨵⪆⪎⋱⫍1CC9)⋥≓≎⪎⋱⫍782⨟⋌⩍⪎⋱⫍1B39","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":5087,"operation_count":14,"complexity_ratio":363.35714285714283,"tree":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2070,"base":13},"right_expr":{"type":"numeric_atoms","value":3213,"base":13}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":1185,"base":13}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":7567,"base":13}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":2513,"base":13}}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":3075,"base":13}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1841,"base":13},"right_expr":{"type":"numeric_atoms","value":4390,"base":13}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1289,"base":13},"right_expr":{"type":"numeric_atoms","value":4104,"base":13}}}}},"used_operators":["W4YGzv6Whe","k8jYdgA6NY","QMFrweE19q","Nsiff2A1zJ","megm06wKyl","rJVOvQCfKK","DhbWaqg5eL","DlLNRPXxWL","i8ToyICDmI","Q3PJZHRvZv","9ICcGScMcE","Qy55tPpLXF","2DQ55sFlQl","rGHVDoGpnC"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","fu6greOZ01","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2070","layer":4},{"info":"number node, value=3213","layer":4},{"info":"compute binary expreesion, left_input=2070, right_input=3213, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=1185","layer":4},{"info":"compute unary expreesion, input=1185, 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 = 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=7567","layer":4},{"info":"compute unary expreesion, input=7567, 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=2513","layer":4},{"info":"compute unary expreesion, input=2513, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=1522, right_input=0, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=3075","layer":4},{"info":"compute unary expreesion, input=3075, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=3075","layer":3},{"info":"compute unary expreesion, input=3075, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"number node, value=1841","layer":4},{"info":"number node, value=4390","layer":4},{"info":"compute binary expreesion, left_input=1841, right_input=4390, 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":"number node, value=4104","layer":4},{"info":"compute binary expreesion, left_input=1289, right_input=4104, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=160, 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 = 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 = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍C33⊴⪎⋱⫍1602⫡⨏(⨈⫕⪎⋱⫍702))%(+⊝⨔⪎⋱⫍35A1)⨎(⫛⫱⨽⪎⋱⫍11B4)+(⊥(≦∁⪎⋱⫍1527))∲⫓(⪎⋱⫍AB8⨵⪆⪎⋱⫍1CC9)⋥≓≎⪎⋱⫍782⨟⋌⩍⪎⋱⫍1B39=NaN","reverse_text":"NaN=(⪎⋱⫍C33⊴⪎⋱⫍1602⫡⨏(⨈⫕⪎⋱⫍702))%(+⊝⨔⪎⋱⫍35A1)⨎(⫛⫱⨽⪎⋱⫍11B4)+(⊥(≦∁⪎⋱⫍1527))∲⫓(⪎⋱⫍AB8⨵⪆⪎⋱⫍1CC9)⋥≓≎⪎⋱⫍782⨟⋌⩍⪎⋱⫍1B39","cot":[{"info":"⪎⋱⫍C33⊴⪎⋱⫍1602=NaN","layer":3},{"info":"⨈⫕⪎⋱⫍702=⪎⋱⫍-18","layer":3},{"info":"NaN⫡⨏⪎⋱⫍-18=NaN","layer":2},{"info":"+⊝⨔⪎⋱⫍35A1=⪎⋱⫍901","layer":3},{"info":"⫛⫱⨽⪎⋱⫍11B4=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍901⨎⪎⋱⫍0=⪎⋱⫍0","layer":2},{"info":"NaN%⪎⋱⫍0=NaN","layer":1},{"info":"≦∁⪎⋱⫍1527=⪎⋱⫍1527","layer":3},{"info":"⊥⪎⋱⫍1527=NaN","layer":2},{"info":"⪎⋱⫍AB8⨵⪆⪎⋱⫍1CC9=⪎⋱⫍C4","layer":3},{"info":"⪎⋱⫍782⨟⋌⩍⪎⋱⫍1B39=NaN","layer":3},{"info":"⪎⋱⫍C4⋥≓≎NaN=NaN","layer":2},{"info":"NaN∲⫓NaN=NaN","layer":1},{"info":"NaN+NaN=NaN","layer":0}]}
{"id":50,"expression_no_base_symbol":"((↔(⪲⇎$3670$))∲⫓$2089$⨰$2667$↙$1455$⨓$4599$)⨟⋌⩍(⫓⪴($3725$⪢$2811$⪨≂$1930$⨐⩸⫘$4858$))","expression":"((↔(⪲⇎⪎⋱⫍1894))∲⫓⪎⋱⫍C49⨰⪎⋱⫍12A2↙⪎⋱⫍87C⨓⪎⋱⫍212A)⨟⋌⩍(⫓⪴(⪎⋱⫍1907⪢⪎⋱⫍1383⪨≂⪎⋱⫍B56⨐⩸⫘⪎⋱⫍2299))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":8609,"operation_count":11,"complexity_ratio":782.6363636363636,"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":3670,"base":13}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2089,"base":13},"right_expr":{"type":"numeric_atoms","value":2667,"base":13}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1455,"base":13},"right_expr":{"type":"numeric_atoms","value":4599,"base":13}}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":3725,"base":13},"right_expr":{"type":"numeric_atoms","value":2811,"base":13}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1930,"base":13},"right_expr":{"type":"numeric_atoms","value":4858,"base":13}}}}},"used_operators":["rGHVDoGpnC","i8ToyICDmI","ruOEQAzv1W","XPYlsWDdGa","yyfyN0ffXY","eewbuw0ToL","3ViojmjbAp","eLxqMNBOBk","sdazOOVcIp","dWAJyo7jo9","fu6greOZ01"],"dependent_operators":["Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3670","layer":4},{"info":"compute unary expreesion, input=3670, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=7340","layer":3},{"info":"compute unary expreesion, input=7340, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-7067","layer":2},{"info":"number node, value=2089","layer":4},{"info":"number node, value=2667","layer":4},{"info":"compute binary expreesion, left_input=2089, right_input=2667, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-568","layer":3},{"info":"number node, value=1455","layer":4},{"info":"number node, value=4599","layer":4},{"info":"compute binary expreesion, left_input=1455, right_input=4599, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-4602","layer":3},{"info":"compute binary expreesion, left_input=-568, right_input=-4602, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-568","layer":2},{"info":"compute binary expreesion, left_input=-7067, right_input=-568, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=-7067","layer":1},{"info":"number node, value=3725","layer":4},{"info":"number node, value=2811","layer":4},{"info":"compute binary expreesion, left_input=3725, right_input=2811, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=1930","layer":4},{"info":"number node, value=4858","layer":4},{"info":"compute binary expreesion, left_input=1930, right_input=4858, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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 = 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 = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-7067, 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":13,"result_base":13,"text":"((↔(⪲⇎⪎⋱⫍1894))∲⫓⪎⋱⫍C49⨰⪎⋱⫍12A2↙⪎⋱⫍87C⨓⪎⋱⫍212A)⨟⋌⩍(⫓⪴(⪎⋱⫍1907⪢⪎⋱⫍1383⪨≂⪎⋱⫍B56⨐⩸⫘⪎⋱⫍2299))=NaN","reverse_text":"NaN=((↔(⪲⇎⪎⋱⫍1894))∲⫓⪎⋱⫍C49⨰⪎⋱⫍12A2↙⪎⋱⫍87C⨓⪎⋱⫍212A)⨟⋌⩍(⫓⪴(⪎⋱⫍1907⪢⪎⋱⫍1383⪨≂⪎⋱⫍B56⨐⩸⫘⪎⋱⫍2299))","cot":[{"info":"⪲⇎⪎⋱⫍1894=⪎⋱⫍3458","layer":3},{"info":"↔⪎⋱⫍3458=⪎⋱⫍-32A8","layer":2},{"info":"⪎⋱⫍C49⨰⪎⋱⫍12A2=⪎⋱⫍-349","layer":3},{"info":"⪎⋱⫍87C⨓⪎⋱⫍212A=⪎⋱⫍-2130","layer":3},{"info":"⪎⋱⫍-349↙⪎⋱⫍-2130=⪎⋱⫍-349","layer":2},{"info":"⪎⋱⫍-32A8∲⫓⪎⋱⫍-349=⪎⋱⫍-32A8","layer":1},{"info":"⪎⋱⫍1907⪢⪎⋱⫍1383=NaN","layer":3},{"info":"⪎⋱⫍B56⨐⩸⫘⪎⋱⫍2299=NaN","layer":3},{"info":"NaN⪨≂NaN=NaN","layer":2},{"info":"⫓⪴NaN=NaN","layer":1},{"info":"⪎⋱⫍-32A8⨟⋌⩍NaN=NaN","layer":0}]}
{"id":51,"expression_no_base_symbol":"($2526$⪢$1077$⩷∴$5072$⪮%⊝$3883$)∑⇟⊟(⊙↵-($8855$↬$1495$))⨽(⫓⪴(≤/$1005$+⇶⊼$7181$))","expression":"(⪎⋱⫍11C4⪢⪎⋱⫍64B⩷∴⪎⋱⫍2402⪮%⊝⪎⋱⫍19C9)∑⇟⊟(⊙↵-(⪎⋱⫍4052↬⪎⋱⫍8B0))⨽(⫓⪴(≤/⪎⋱⫍5C4+⇶⊼⪎⋱⫍3365))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1607,"operation_count":10,"complexity_ratio":160.7,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2526,"base":13},"right_expr":{"type":"numeric_atoms","value":1077,"base":13}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":5072,"base":13},"right_expr":{"type":"numeric_atoms","value":3883,"base":13}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":8855,"base":13},"right_expr":{"type":"numeric_atoms","value":1495,"base":13}}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1005,"base":13},"right_expr":{"type":"numeric_atoms","value":7181,"base":13}}}}},"used_operators":["8HhzD0ZcuI","U7g4x0WXJJ","9FxExcQeMw","dWAJyo7jo9","IWmyXbctLI","oWn0xqSxBt","B5M0gjZbta","eLxqMNBOBk","eLAdDNolq6","TpPTUOHfaN"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","k8jYdgA6NY","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rGHVDoGpnC","9HNa5Wba9A","rysDP5nf3Z","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2526","layer":4},{"info":"number node, value=1077","layer":4},{"info":"compute binary expreesion, left_input=2526, right_input=1077, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=5072","layer":4},{"info":"number node, value=3883","layer":4},{"info":"compute binary expreesion, left_input=5072, right_input=3883, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=10460","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=10460, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":2},{"info":"number node, value=8855","layer":4},{"info":"number node, value=1495","layer":4},{"info":"compute binary expreesion, left_input=8855, right_input=1495, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=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=1005","layer":4},{"info":"number node, value=7181","layer":4},{"info":"compute binary expreesion, left_input=1005, right_input=7181, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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":"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 = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍11C4⪢⪎⋱⫍64B⩷∴⪎⋱⫍2402⪮%⊝⪎⋱⫍19C9)∑⇟⊟(⊙↵-(⪎⋱⫍4052↬⪎⋱⫍8B0))⨽(⫓⪴(≤/⪎⋱⫍5C4+⇶⊼⪎⋱⫍3365))=NaN","reverse_text":"NaN=(⪎⋱⫍11C4⪢⪎⋱⫍64B⩷∴⪎⋱⫍2402⪮%⊝⪎⋱⫍19C9)∑⇟⊟(⊙↵-(⪎⋱⫍4052↬⪎⋱⫍8B0))⨽(⫓⪴(≤/⪎⋱⫍5C4+⇶⊼⪎⋱⫍3365))","cot":[{"info":"⪎⋱⫍11C4⪢⪎⋱⫍64B=NaN","layer":3},{"info":"⪎⋱⫍2402⪮%⊝⪎⋱⫍19C9=⪎⋱⫍49B8","layer":3},{"info":"NaN⩷∴⪎⋱⫍49B8=NaN","layer":2},{"info":"⪎⋱⫍4052↬⪎⋱⫍8B0=NaN","layer":3},{"info":"⊙↵-NaN=NaN","layer":2},{"info":"NaN∑⇟⊟NaN=NaN","layer":1},{"info":"⪎⋱⫍5C4+⇶⊼⪎⋱⫍3365=NaN","layer":3},{"info":"≤/NaN=NaN","layer":2},{"info":"⫓⪴NaN=NaN","layer":1},{"info":"NaN⨽NaN=NaN","layer":0}]}
{"id":52,"expression_no_base_symbol":"(∥⊫($3170$⫸⊐$1865$)⪢($2068$≭$4728$))⫡⨏(-(↯⪼(⪲⇎$6636$)))","expression":"(∥⊫(⪎⋱⫍159B⫸⊐⪎⋱⫍B06)⪢(⪎⋱⫍C31≭⪎⋱⫍21C9))⫡⨏(-(↯⪼(⪲⇎⪎⋱⫍3036)))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":70,"operation_count":8,"complexity_ratio":8.75,"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":3170,"base":13},"right_expr":{"type":"numeric_atoms","value":1865,"base":13}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2068,"base":13},"right_expr":{"type":"numeric_atoms","value":4728,"base":13}}}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":6636,"base":13}}}}},"used_operators":["QMFrweE19q","P8v4zCKN1o","dWAJyo7jo9","mqXw5SEYmG","rxpJgHHUmx","t8gj7n24qd","8jW3W4yZS5","XPYlsWDdGa"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","AHs5Up7iyr","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=3170","layer":4},{"info":"number node, value=1865","layer":4},{"info":"compute binary expreesion, left_input=3170, right_input=1865, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=7335","layer":3},{"info":"number node, value=2068","layer":4},{"info":"number node, value=4728","layer":4},{"info":"compute binary expreesion, left_input=2068, right_input=4728, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=7335, 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 = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=nan","layer":1},{"info":"number node, value=6636","layer":4},{"info":"compute unary expreesion, input=6636, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=13272","layer":3},{"info":"compute unary expreesion, input=13272, 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 = t8gj7n24qd, unary_op_definition = 'None', 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":13,"result_base":13,"text":"(∥⊫(⪎⋱⫍159B⫸⊐⪎⋱⫍B06)⪢(⪎⋱⫍C31≭⪎⋱⫍21C9))⫡⨏(-(↯⪼(⪲⇎⪎⋱⫍3036)))=NaN","reverse_text":"NaN=(∥⊫(⪎⋱⫍159B⫸⊐⪎⋱⫍B06)⪢(⪎⋱⫍C31≭⪎⋱⫍21C9))⫡⨏(-(↯⪼(⪲⇎⪎⋱⫍3036)))","cot":[{"info":"⪎⋱⫍159B⫸⊐⪎⋱⫍B06=⪎⋱⫍3453","layer":3},{"info":"⪎⋱⫍C31≭⪎⋱⫍21C9=NaN","layer":3},{"info":"⪎⋱⫍3453⪢NaN=NaN","layer":2},{"info":"∥⊫NaN=NaN","layer":1},{"info":"⪲⇎⪎⋱⫍3036=⪎⋱⫍606C","layer":3},{"info":"↯⪼⪎⋱⫍606C=⪎⋱⫍-18","layer":2},{"info":"-⪎⋱⫍-18=⪎⋱⫍18","layer":1},{"info":"NaN⫡⨏⪎⋱⫍18=NaN","layer":0}]}
{"id":53,"expression_no_base_symbol":"($2300$*$1146$≋⫹)⨎(↩$6274$)≹⇙⪍($2604$⊭↱$1927$)⪐","expression":"(⪎⋱⫍107C*⪎⋱⫍6A2≋⫹)⨎(↩⪎⋱⫍2B18)≹⇙⪍(⪎⋱⫍1254⊭↱⪎⋱⫍B53)⪐","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1175,"operation_count":7,"complexity_ratio":167.85714285714286,"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":2300,"base":13},"right_expr":{"type":"numeric_atoms","value":1146,"base":13}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":6274,"base":13}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":2604,"base":13},"right_expr":{"type":"numeric_atoms","value":1927,"base":13}}}}},"used_operators":["eH2TOUuTDT","rJVOvQCfKK","N41Kp7NANJ","9HNa5Wba9A","AHs5Up7iyr","jLgFTUHLKL","COABgblf1C"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","dWAJyo7jo9","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2300","layer":4},{"info":"number node, value=1146","layer":4},{"info":"compute binary expreesion, left_input=2300, right_input=1146, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=2635800","layer":3},{"info":"compute unary expreesion, input=2635800, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-5271600","layer":2},{"info":"number node, value=6274","layer":4},{"info":"compute unary expreesion, input=6274, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-47412","layer":3},{"info":"number node, value=2604","layer":4},{"info":"number node, value=1927","layer":4},{"info":"compute binary expreesion, left_input=2604, right_input=1927, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-1349","layer":3},{"info":"compute binary expreesion, left_input=-47412, right_input=-1349, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=-5271600, 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 = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍107C*⪎⋱⫍6A2≋⫹)⨎(↩⪎⋱⫍2B18)≹⇙⪍(⪎⋱⫍1254⊭↱⪎⋱⫍B53)⪐=NaN","reverse_text":"NaN=(⪎⋱⫍107C*⪎⋱⫍6A2≋⫹)⨎(↩⪎⋱⫍2B18)≹⇙⪍(⪎⋱⫍1254⊭↱⪎⋱⫍B53)⪐","cot":[{"info":"⪎⋱⫍107C*⪎⋱⫍6A2=⪎⋱⫍71395B","layer":3},{"info":"⪎⋱⫍71395B≋⫹=⪎⋱⫍-11275B9","layer":2},{"info":"↩⪎⋱⫍2B18=⪎⋱⫍-18771","layer":3},{"info":"⪎⋱⫍1254⊭↱⪎⋱⫍B53=⪎⋱⫍-7CA","layer":3},{"info":"⪎⋱⫍-18771≹⇙⪍⪎⋱⫍-7CA=NaN","layer":2},{"info":"⪎⋱⫍-11275B9⨎NaN=NaN","layer":1},{"info":"NaN⪐=NaN","layer":0}]}
{"id":54,"expression_no_base_symbol":"(($7157$*$3454$)≎⊠⪸($1088$⨽$2734$)⋥≓≎($5686$∲⫓$4554$)↬($1605$/$6233$))⋓((⪝⪂⫅(⪲⇎$1887$))⊉≛↸(⋗⩬⋾($3731$⊠≄⫣)))","expression":"((⪎⋱⫍3347*⪎⋱⫍1759)≎⊠⪸(⪎⋱⫍659⨽⪎⋱⫍1324)⋥≓≎(⪎⋱⫍2785∲⫓⪎⋱⫍20C4)↬(⪎⋱⫍966/⪎⋱⫍2AB6))⋓((⪝⪂⫅(⪲⇎⪎⋱⫍B22))⊉≛↸(⋗⩬⋾(⪎⋱⫍1910⊠≄⫣)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4745,"operation_count":13,"complexity_ratio":365.0,"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":7157,"base":13},"right_expr":{"type":"numeric_atoms","value":3454,"base":13}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1088,"base":13},"right_expr":{"type":"numeric_atoms","value":2734,"base":13}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":5686,"base":13},"right_expr":{"type":"numeric_atoms","value":4554,"base":13}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1605,"base":13},"right_expr":{"type":"numeric_atoms","value":6233,"base":13}}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1887,"base":13}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":3731,"base":13}}}}},"used_operators":["T2fj7uvVaJ","Qy55tPpLXF","bJkvcejdHO","9HNa5Wba9A","8HhzD0ZcuI","B5M0gjZbta","i8ToyICDmI","XhwjNDsVaA","DZ8iAZOCBD","XTarYq4gQB","XPYlsWDdGa","DpFCA1CohY","DIvbN7qnHd"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=7157","layer":4},{"info":"number node, value=3454","layer":4},{"info":"compute binary expreesion, left_input=7157, right_input=3454, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=24720278","layer":3},{"info":"number node, value=1088","layer":4},{"info":"number node, value=2734","layer":4},{"info":"compute binary expreesion, left_input=1088, right_input=2734, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-3558120","layer":3},{"info":"compute binary expreesion, left_input=24720278, right_input=-3558120, 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=5686","layer":4},{"info":"number node, value=4554","layer":4},{"info":"compute binary expreesion, left_input=5686, right_input=4554, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=1605","layer":4},{"info":"number node, value=6233","layer":4},{"info":"compute binary expreesion, left_input=1605, right_input=6233, op_id = XhwjNDsVaA binary_op_definition= 'None', 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 binary expreesion, left_input=67, right_input=0, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-34","layer":1},{"info":"number node, value=1887","layer":4},{"info":"compute unary expreesion, input=1887, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=3774","layer":3},{"info":"compute unary expreesion, input=3774, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-554778","layer":2},{"info":"number node, value=3731","layer":4},{"info":"compute unary expreesion, input=3731, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', 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=-554778, 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":"compute binary expreesion, left_input=-34, right_input=0, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍3347*⪎⋱⫍1759)≎⊠⪸(⪎⋱⫍659⨽⪎⋱⫍1324)⋥≓≎(⪎⋱⫍2785∲⫓⪎⋱⫍20C4)↬(⪎⋱⫍966/⪎⋱⫍2AB6))⋓((⪝⪂⫅(⪲⇎⪎⋱⫍B22))⊉≛↸(⋗⩬⋾(⪎⋱⫍1910⊠≄⫣)))=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=((⪎⋱⫍3347*⪎⋱⫍1759)≎⊠⪸(⪎⋱⫍659⨽⪎⋱⫍1324)⋥≓≎(⪎⋱⫍2785∲⫓⪎⋱⫍20C4)↬(⪎⋱⫍966/⪎⋱⫍2AB6))⋓((⪝⪂⫅(⪲⇎⪎⋱⫍B22))⊉≛↸(⋗⩬⋾(⪎⋱⫍1910⊠≄⫣)))","cot":[{"info":"⪎⋱⫍3347*⪎⋱⫍1759=⪎⋱⫍5176AAB","layer":3},{"info":"⪎⋱⫍659⨽⪎⋱⫍1324=⪎⋱⫍-9776C7","layer":3},{"info":"⪎⋱⫍5176AAB≎⊠⪸⪎⋱⫍-9776C7=⪎⋱⫍52","layer":2},{"info":"⪎⋱⫍2785∲⫓⪎⋱⫍20C4=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍966/⪎⋱⫍2AB6=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍0↬⪎⋱⫍0=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍52⋥≓≎⪎⋱⫍0=⪎⋱⫍-28","layer":1},{"info":"⪲⇎⪎⋱⫍B22=⪎⋱⫍1944","layer":3},{"info":"⪝⪂⫅⪎⋱⫍1944=⪎⋱⫍-165693","layer":2},{"info":"⪎⋱⫍1910⊠≄⫣=⪎⋱⫍0","layer":3},{"info":"⋗⩬⋾⪎⋱⫍0=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍-165693⊉≛↸⪎⋱⫍0=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍-28⋓⪎⋱⫍0=⪎⋱⫍0","layer":0}]}
{"id":55,"expression_no_base_symbol":"($2494$≧⫂∧$6528$⫥∨⫟($3538$⨎$3449$))⩚⊴⇥($2760$⇋≉)⪘⫢($4804$⊉≛↸$2620$)↙((($4839$⇼⇔∾$8660$)⫌⩹⨱)/(⊙↵-($1484$⋓$1538$)))","expression":"(⪎⋱⫍119B≧⫂∧⪎⋱⫍2C82⫥∨⫟(⪎⋱⫍17C2⨎⪎⋱⫍1754))⩚⊴⇥(⪎⋱⫍1344⇋≉)⪘⫢(⪎⋱⫍2257⊉≛↸⪎⋱⫍1267)↙(((⪎⋱⫍2283⇼⇔∾⪎⋱⫍3C32)⫌⩹⨱)/(⊙↵-(⪎⋱⫍8A2⋓⪎⋱⫍914)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":230,"operation_count":13,"complexity_ratio":17.692307692307693,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2494,"base":13},"right_expr":{"type":"numeric_atoms","value":6528,"base":13}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":3538,"base":13},"right_expr":{"type":"numeric_atoms","value":3449,"base":13}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":2760,"base":13}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":4804,"base":13},"right_expr":{"type":"numeric_atoms","value":2620,"base":13}}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":4839,"base":13},"right_expr":{"type":"numeric_atoms","value":8660,"base":13}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1484,"base":13},"right_expr":{"type":"numeric_atoms","value":1538,"base":13}}}}},"used_operators":["yyfyN0ffXY","NTOWxs364D","KYD54nUTWz","Ph9nP6C5qx","rJVOvQCfKK","oacrs7FA3X","XIabStNQrY","DZ8iAZOCBD","XhwjNDsVaA","EBcxylXtPf","tifHPKVTfV","oWn0xqSxBt","T2fj7uvVaJ"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2494","layer":4},{"info":"number node, value=6528","layer":4},{"info":"compute binary expreesion, left_input=2494, right_input=6528, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=6055","layer":3},{"info":"number node, value=3538","layer":4},{"info":"number node, value=3449","layer":4},{"info":"compute binary expreesion, left_input=3538, right_input=3449, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3449","layer":3},{"info":"compute binary expreesion, left_input=6055, right_input=3449, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=2760","layer":4},{"info":"compute unary expreesion, input=2760, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=5422","layer":3},{"info":"number node, value=4804","layer":4},{"info":"number node, value=2620","layer":4},{"info":"compute binary expreesion, left_input=4804, right_input=2620, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=9608","layer":3},{"info":"compute binary expreesion, left_input=5422, right_input=9608, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=10720","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=10720, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":1},{"info":"number node, value=4839","layer":4},{"info":"number node, value=8660","layer":4},{"info":"compute binary expreesion, left_input=4839, right_input=8660, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=3821","layer":3},{"info":"compute unary expreesion, input=3821, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=9043","layer":2},{"info":"number node, value=1484","layer":4},{"info":"number node, value=1538","layer":4},{"info":"compute binary expreesion, left_input=1484, right_input=1538, op_id = T2fj7uvVaJ binary_op_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 = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=9043, right_input=0, op_id = XhwjNDsVaA binary_op_definition= 'None', 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":13,"result_base":13,"text":"(⪎⋱⫍119B≧⫂∧⪎⋱⫍2C82⫥∨⫟(⪎⋱⫍17C2⨎⪎⋱⫍1754))⩚⊴⇥(⪎⋱⫍1344⇋≉)⪘⫢(⪎⋱⫍2257⊉≛↸⪎⋱⫍1267)↙(((⪎⋱⫍2283⇼⇔∾⪎⋱⫍3C32)⫌⩹⨱)/(⊙↵-(⪎⋱⫍8A2⋓⪎⋱⫍914)))=NaN","reverse_text":"NaN=(⪎⋱⫍119B≧⫂∧⪎⋱⫍2C82⫥∨⫟(⪎⋱⫍17C2⨎⪎⋱⫍1754))⩚⊴⇥(⪎⋱⫍1344⇋≉)⪘⫢(⪎⋱⫍2257⊉≛↸⪎⋱⫍1267)↙(((⪎⋱⫍2283⇼⇔∾⪎⋱⫍3C32)⫌⩹⨱)/(⊙↵-(⪎⋱⫍8A2⋓⪎⋱⫍914)))","cot":[{"info":"⪎⋱⫍119B≧⫂∧⪎⋱⫍2C82=⪎⋱⫍29AA","layer":3},{"info":"⪎⋱⫍17C2⨎⪎⋱⫍1754=⪎⋱⫍1754","layer":3},{"info":"⪎⋱⫍29AA⫥∨⫟⪎⋱⫍1754=NaN","layer":2},{"info":"⪎⋱⫍1344⇋≉=⪎⋱⫍2611","layer":3},{"info":"⪎⋱⫍2257⊉≛↸⪎⋱⫍1267=⪎⋱⫍44B1","layer":3},{"info":"⪎⋱⫍2611⪘⫢⪎⋱⫍44B1=⪎⋱⫍4B58","layer":2},{"info":"NaN⩚⊴⇥⪎⋱⫍4B58=NaN","layer":1},{"info":"⪎⋱⫍2283⇼⇔∾⪎⋱⫍3C32=⪎⋱⫍197C","layer":3},{"info":"⪎⋱⫍197C⫌⩹⨱=⪎⋱⫍4168","layer":2},{"info":"⪎⋱⫍8A2⋓⪎⋱⫍914=⪎⋱⫍0","layer":3},{"info":"⊙↵-⪎⋱⫍0=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍4168/⪎⋱⫍0=NaN","layer":1},{"info":"NaN↙NaN=NaN","layer":0}]}
{"id":56,"expression_no_base_symbol":"⋗⩬⋾(⩦⩻⨪$2626$⪘⫢$2326$⨐⩸⫘$2503$≹⇙⪍$3008$)","expression":"⋗⩬⋾(⩦⩻⨪⪎⋱⫍1270⪘⫢⪎⋱⫍109C⨐⩸⫘⪎⋱⫍11A7≹⇙⪍⪎⋱⫍14A5)","highest_n_order":4,"priority_hierarchical_complexity":3,"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":2626,"base":13},"right_expr":{"type":"numeric_atoms","value":2326,"base":13}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2503,"base":13},"right_expr":{"type":"numeric_atoms","value":3008,"base":13}}}}},"used_operators":["DpFCA1CohY","2td37pGCOC","fu6greOZ01","oacrs7FA3X","AHs5Up7iyr"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2626","layer":4},{"info":"number node, value=2326","layer":4},{"info":"compute binary expreesion, left_input=2626, right_input=2326, 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=2503","layer":4},{"info":"number node, value=3008","layer":4},{"info":"compute binary expreesion, left_input=2503, right_input=3008, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=5128, 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 = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-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":13,"result_base":13,"text":"⋗⩬⋾(⩦⩻⨪⪎⋱⫍1270⪘⫢⪎⋱⫍109C⨐⩸⫘⪎⋱⫍11A7≹⇙⪍⪎⋱⫍14A5)=NaN","reverse_text":"NaN=⋗⩬⋾(⩦⩻⨪⪎⋱⫍1270⪘⫢⪎⋱⫍109C⨐⩸⫘⪎⋱⫍11A7≹⇙⪍⪎⋱⫍14A5)","cot":[{"info":"⪎⋱⫍1270⪘⫢⪎⋱⫍109C=⪎⋱⫍2446","layer":3},{"info":"⪎⋱⫍11A7≹⇙⪍⪎⋱⫍14A5=NaN","layer":3},{"info":"⪎⋱⫍2446⨐⩸⫘NaN=NaN","layer":2},{"info":"⩦⩻⨪NaN=NaN","layer":1},{"info":"⋗⩬⋾NaN=NaN","layer":0}]}
{"id":57,"expression_no_base_symbol":"(($1199$⨳⩥⨓$1544$)⊴($4792$*$6685$)⊭↱(+⊝⨔$1239$)≭($1479$⊉≛↸$2490$))⪘⫢($2700$⊭↱$1345$)⪢($1483$⪐)⇷((⫛⫱⨽$1536$)⫥∨⫟$4784$≧⫂∧$1897$)","expression":"((⪎⋱⫍713⨳⩥⨓⪎⋱⫍91A)⊴(⪎⋱⫍2248*⪎⋱⫍3073)⊭↱(+⊝⨔⪎⋱⫍744)≭(⪎⋱⫍89A⊉≛↸⪎⋱⫍1197))⪘⫢(⪎⋱⫍12C9⊭↱⪎⋱⫍7C6)⪢(⪎⋱⫍8A1⪐)⇷((⫛⫱⨽⪎⋱⫍912)⫥∨⫟⪎⋱⫍2240≧⫂∧⪎⋱⫍B2C)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":14303,"operation_count":15,"complexity_ratio":953.5333333333333,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1199,"base":13},"right_expr":{"type":"numeric_atoms","value":1544,"base":13}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":4792,"base":13},"right_expr":{"type":"numeric_atoms","value":6685,"base":13}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":1239,"base":13}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1479,"base":13},"right_expr":{"type":"numeric_atoms","value":2490,"base":13}}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":2700,"base":13},"right_expr":{"type":"numeric_atoms","value":1345,"base":13}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":1483,"base":13}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":1536,"base":13}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":4784,"base":13},"right_expr":{"type":"numeric_atoms","value":1897,"base":13}}}}},"used_operators":["oacrs7FA3X","COABgblf1C","Nsiff2A1zJ","nCS4ZIUYfx","9HNa5Wba9A","rxpJgHHUmx","DhbWaqg5eL","DZ8iAZOCBD","mp7IySMOzn","dWAJyo7jo9","eH2TOUuTDT","KYD54nUTWz","DlLNRPXxWL","Ph9nP6C5qx"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","AHs5Up7iyr","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1199","layer":4},{"info":"number node, value=1544","layer":4},{"info":"compute binary expreesion, left_input=1199, right_input=1544, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=345","layer":3},{"info":"number node, value=4792","layer":4},{"info":"number node, value=6685","layer":4},{"info":"compute binary expreesion, left_input=4792, right_input=6685, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=32034520","layer":3},{"info":"compute binary expreesion, left_input=345, right_input=32034520, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=1239","layer":4},{"info":"compute unary expreesion, input=1239, 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=1479","layer":4},{"info":"number node, value=2490","layer":4},{"info":"compute binary expreesion, left_input=1479, right_input=2490, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2958","layer":3},{"info":"compute binary expreesion, left_input=1522, right_input=2958, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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 = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":1},{"info":"number node, value=2700","layer":4},{"info":"number node, value=1345","layer":4},{"info":"compute binary expreesion, left_input=2700, right_input=1345, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-2705","layer":3},{"info":"number node, value=1483","layer":4},{"info":"compute unary expreesion, input=1483, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=2966","layer":3},{"info":"compute binary expreesion, left_input=-2705, right_input=2966, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=1536","layer":4},{"info":"compute unary expreesion, input=1536, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=4784","layer":4},{"info":"number node, value=1897","layer":4},{"info":"compute binary expreesion, left_input=4784, right_input=1897, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1424","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1424, 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 = 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 = 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":13,"result_base":13,"text":"((⪎⋱⫍713⨳⩥⨓⪎⋱⫍91A)⊴(⪎⋱⫍2248*⪎⋱⫍3073)⊭↱(+⊝⨔⪎⋱⫍744)≭(⪎⋱⫍89A⊉≛↸⪎⋱⫍1197))⪘⫢(⪎⋱⫍12C9⊭↱⪎⋱⫍7C6)⪢(⪎⋱⫍8A1⪐)⇷((⫛⫱⨽⪎⋱⫍912)⫥∨⫟⪎⋱⫍2240≧⫂∧⪎⋱⫍B2C)=NaN","reverse_text":"NaN=((⪎⋱⫍713⨳⩥⨓⪎⋱⫍91A)⊴(⪎⋱⫍2248*⪎⋱⫍3073)⊭↱(+⊝⨔⪎⋱⫍744)≭(⪎⋱⫍89A⊉≛↸⪎⋱⫍1197))⪘⫢(⪎⋱⫍12C9⊭↱⪎⋱⫍7C6)⪢(⪎⋱⫍8A1⪐)⇷((⫛⫱⨽⪎⋱⫍912)⫥∨⫟⪎⋱⫍2240≧⫂∧⪎⋱⫍B2C)","cot":[{"info":"⪎⋱⫍713⨳⩥⨓⪎⋱⫍91A=⪎⋱⫍207","layer":3},{"info":"⪎⋱⫍2248*⪎⋱⫍3073=⪎⋱⫍683804B","layer":3},{"info":"⪎⋱⫍207⊴⪎⋱⫍683804B=NaN","layer":2},{"info":"+⊝⨔⪎⋱⫍744=⪎⋱⫍901","layer":3},{"info":"⪎⋱⫍89A⊉≛↸⪎⋱⫍1197=⪎⋱⫍1467","layer":3},{"info":"⪎⋱⫍901≭⪎⋱⫍1467=NaN","layer":2},{"info":"NaN⊭↱NaN=NaN","layer":1},{"info":"⪎⋱⫍12C9⊭↱⪎⋱⫍7C6=⪎⋱⫍-1301","layer":3},{"info":"⪎⋱⫍8A1⪐=⪎⋱⫍1472","layer":3},{"info":"⪎⋱⫍-1301⪢⪎⋱⫍1472=NaN","layer":2},{"info":"⫛⫱⨽⪎⋱⫍912=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍2240≧⫂∧⪎⋱⫍B2C=⪎⋱⫍857","layer":3},{"info":"⪎⋱⫍0⫥∨⫟⪎⋱⫍857=NaN","layer":2},{"info":"NaN⇷NaN=NaN","layer":1},{"info":"NaN⪘⫢NaN=NaN","layer":0}]}
{"id":58,"expression_no_base_symbol":"⋗⩬⋾(($5937$⋝⋈⪟$2102$⪨≂$1862$⪢$4148$)≦≮≮)","expression":"⋗⩬⋾((⪎⋱⫍2919⋝⋈⪟⪎⋱⫍C59⪨≂⪎⋱⫍B03⪢⪎⋱⫍1B71)≦≮≮)","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":4162,"operation_count":5,"complexity_ratio":832.4,"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":5937,"base":13},"right_expr":{"type":"numeric_atoms","value":2102,"base":13}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1862,"base":13},"right_expr":{"type":"numeric_atoms","value":4148,"base":13}}}}},"used_operators":["DpFCA1CohY","D4vGDi5EA2","sdazOOVcIp","2DDjHMKMc0","dWAJyo7jo9"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=5937","layer":4},{"info":"number node, value=2102","layer":4},{"info":"compute binary expreesion, left_input=5937, right_input=2102, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=5937","layer":3},{"info":"number node, value=1862","layer":4},{"info":"number node, value=4148","layer":4},{"info":"compute binary expreesion, left_input=1862, right_input=4148, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=5937, 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 = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+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":13,"result_base":13,"text":"⋗⩬⋾((⪎⋱⫍2919⋝⋈⪟⪎⋱⫍C59⪨≂⪎⋱⫍B03⪢⪎⋱⫍1B71)≦≮≮)=NaN","reverse_text":"NaN=⋗⩬⋾((⪎⋱⫍2919⋝⋈⪟⪎⋱⫍C59⪨≂⪎⋱⫍B03⪢⪎⋱⫍1B71)≦≮≮)","cot":[{"info":"⪎⋱⫍2919⋝⋈⪟⪎⋱⫍C59=⪎⋱⫍2919","layer":3},{"info":"⪎⋱⫍B03⪢⪎⋱⫍1B71=NaN","layer":3},{"info":"⪎⋱⫍2919⪨≂NaN=NaN","layer":2},{"info":"NaN≦≮≮=NaN","layer":1},{"info":"⋗⩬⋾NaN=NaN","layer":0}]}
{"id":59,"expression_no_base_symbol":"(↣≠⋷($1092$∑⇟⊟$3412$))⪢(($1029$⋥≓≎$1017$)∑⇟⊟(⩦⩻⨪$1855$))≭(($4500$*$1930$+$5565$∑⇟⊟$1826$)⫸⊐(⊥$8473$)⨎($1906$⋳⪒$1151$))","expression":"(↣≠⋷(⪎⋱⫍660∑⇟⊟⪎⋱⫍1726))⪢((⪎⋱⫍612⋥≓≎⪎⋱⫍603)∑⇟⊟(⩦⩻⨪⪎⋱⫍AC9))≭((⪎⋱⫍2082*⪎⋱⫍B56+⪎⋱⫍26C1∑⇟⊟⪎⋱⫍AA6)⫸⊐(⊥⪎⋱⫍3B1A)⨎(⪎⋱⫍B38⋳⪒⪎⋱⫍6A7))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1959,"operation_count":14,"complexity_ratio":139.92857142857142,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1092,"base":13},"right_expr":{"type":"numeric_atoms","value":3412,"base":13}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1029,"base":13},"right_expr":{"type":"numeric_atoms","value":1017,"base":13}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":1855,"base":13}}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":4500,"base":13},"right_expr":{"type":"numeric_atoms","value":1930,"base":13}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":5565,"base":13},"right_expr":{"type":"numeric_atoms","value":1826,"base":13}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":8473,"base":13}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1906,"base":13},"right_expr":{"type":"numeric_atoms","value":1151,"base":13}}}}},"used_operators":["rxpJgHHUmx","dWAJyo7jo9","Asc51vEJeQ","U7g4x0WXJJ","Qy55tPpLXF","2td37pGCOC","mqXw5SEYmG","W4YGzv6Whe","9HNa5Wba9A","rJVOvQCfKK","Q3PJZHRvZv","12rbrZMWeM"],"dependent_operators":["AHs5Up7iyr","k8jYdgA6NY","XhwjNDsVaA","AHs5Up7iyr","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","fu6greOZ01","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1092","layer":4},{"info":"number node, value=3412","layer":4},{"info":"compute binary expreesion, left_input=1092, right_input=3412, 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 = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"number node, value=1029","layer":4},{"info":"number node, value=1017","layer":4},{"info":"compute binary expreesion, left_input=1029, right_input=1017, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=1038","layer":3},{"info":"number node, value=1855","layer":4},{"info":"compute unary expreesion, input=1855, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1855","layer":3},{"info":"compute binary expreesion, left_input=1038, right_input=1855, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":1},{"info":"number node, value=4500","layer":4},{"info":"number node, value=1930","layer":4},{"info":"compute binary expreesion, left_input=4500, right_input=1930, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=8685000","layer":3},{"info":"number node, value=5565","layer":4},{"info":"number node, value=1826","layer":4},{"info":"compute binary expreesion, left_input=5565, 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=8685000, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=8473","layer":4},{"info":"compute unary expreesion, input=8473, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=1906","layer":4},{"info":"number node, value=1151","layer":4},{"info":"compute binary expreesion, left_input=1906, right_input=1151, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=2374","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2374, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2374","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=2374, 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 = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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":13,"result_base":13,"text":"(↣≠⋷(⪎⋱⫍660∑⇟⊟⪎⋱⫍1726))⪢((⪎⋱⫍612⋥≓≎⪎⋱⫍603)∑⇟⊟(⩦⩻⨪⪎⋱⫍AC9))≭((⪎⋱⫍2082*⪎⋱⫍B56+⪎⋱⫍26C1∑⇟⊟⪎⋱⫍AA6)⫸⊐(⊥⪎⋱⫍3B1A)⨎(⪎⋱⫍B38⋳⪒⪎⋱⫍6A7))=NaN","reverse_text":"NaN=(↣≠⋷(⪎⋱⫍660∑⇟⊟⪎⋱⫍1726))⪢((⪎⋱⫍612⋥≓≎⪎⋱⫍603)∑⇟⊟(⩦⩻⨪⪎⋱⫍AC9))≭((⪎⋱⫍2082*⪎⋱⫍B56+⪎⋱⫍26C1∑⇟⊟⪎⋱⫍AA6)⫸⊐(⊥⪎⋱⫍3B1A)⨎(⪎⋱⫍B38⋳⪒⪎⋱⫍6A7))","cot":[{"info":"⪎⋱⫍660∑⇟⊟⪎⋱⫍1726=NaN","layer":3},{"info":"↣≠⋷NaN=NaN","layer":2},{"info":"⪎⋱⫍612⋥≓≎⪎⋱⫍603=⪎⋱⫍61B","layer":3},{"info":"⩦⩻⨪⪎⋱⫍AC9=⪎⋱⫍AC9","layer":3},{"info":"⪎⋱⫍61B∑⇟⊟⪎⋱⫍AC9=NaN","layer":2},{"info":"NaN⪢NaN=NaN","layer":1},{"info":"⪎⋱⫍2082*⪎⋱⫍B56=⪎⋱⫍1A5116C","layer":3},{"info":"⪎⋱⫍26C1∑⇟⊟⪎⋱⫍AA6=NaN","layer":3},{"info":"⪎⋱⫍1A5116C+NaN=NaN","layer":2},{"info":"⊥⪎⋱⫍3B1A=NaN","layer":3},{"info":"⪎⋱⫍B38⋳⪒⪎⋱⫍6A7=⪎⋱⫍1108","layer":3},{"info":"NaN⨎⪎⋱⫍1108=⪎⋱⫍1108","layer":2},{"info":"NaN⫸⊐⪎⋱⫍1108=NaN","layer":1},{"info":"NaN≭NaN=NaN","layer":0}]}
{"id":60,"expression_no_base_symbol":"≦∁($3125$⫥∨⫟$1635$)⪢($2485$⋥≓≎$4365$)⩨$5290$⨎$1101$⨳⩥⨓$5564$⪮%⊝$1625$","expression":"≦∁(⪎⋱⫍1565⫥∨⫟⪎⋱⫍98A)⪢(⪎⋱⫍1192⋥≓≎⪎⋱⫍1CAA)⩨⪎⋱⫍253C⨎⪎⋱⫍669⨳⩥⨓⪎⋱⫍26C0⪮%⊝⪎⋱⫍980","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":6454,"operation_count":8,"complexity_ratio":806.75,"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":3125,"base":13},"right_expr":{"type":"numeric_atoms","value":1635,"base":13}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2485,"base":13},"right_expr":{"type":"numeric_atoms","value":4365,"base":13}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":5290,"base":13},"right_expr":{"type":"numeric_atoms","value":1101,"base":13}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":5564,"base":13},"right_expr":{"type":"numeric_atoms","value":1625,"base":13}}}}},"used_operators":["9ICcGScMcE","2DlMacCsIx","dWAJyo7jo9","KYD54nUTWz","Qy55tPpLXF","nCS4ZIUYfx","rJVOvQCfKK","IWmyXbctLI"],"dependent_operators":["XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","k8jYdgA6NY","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=3125","layer":4},{"info":"number node, value=1635","layer":4},{"info":"compute binary expreesion, left_input=3125, right_input=1635, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=2485","layer":4},{"info":"number node, value=4365","layer":4},{"info":"compute binary expreesion, left_input=2485, right_input=4365, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=6278","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=6278, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=5290","layer":4},{"info":"number node, value=1101","layer":4},{"info":"compute binary expreesion, left_input=5290, right_input=1101, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1101","layer":3},{"info":"number node, value=5564","layer":4},{"info":"number node, value=1625","layer":4},{"info":"compute binary expreesion, left_input=5564, right_input=1625, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=11444","layer":3},{"info":"compute binary expreesion, left_input=1101, right_input=11444, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=10343","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=10343, 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 = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"≦∁(⪎⋱⫍1565⫥∨⫟⪎⋱⫍98A)⪢(⪎⋱⫍1192⋥≓≎⪎⋱⫍1CAA)⩨⪎⋱⫍253C⨎⪎⋱⫍669⨳⩥⨓⪎⋱⫍26C0⪮%⊝⪎⋱⫍980=NaN","reverse_text":"NaN=≦∁(⪎⋱⫍1565⫥∨⫟⪎⋱⫍98A)⪢(⪎⋱⫍1192⋥≓≎⪎⋱⫍1CAA)⩨⪎⋱⫍253C⨎⪎⋱⫍669⨳⩥⨓⪎⋱⫍26C0⪮%⊝⪎⋱⫍980","cot":[{"info":"⪎⋱⫍1565⫥∨⫟⪎⋱⫍98A=NaN","layer":3},{"info":"⪎⋱⫍1192⋥≓≎⪎⋱⫍1CAA=⪎⋱⫍2B1C","layer":3},{"info":"NaN⪢⪎⋱⫍2B1C=NaN","layer":2},{"info":"⪎⋱⫍253C⨎⪎⋱⫍669=⪎⋱⫍669","layer":3},{"info":"⪎⋱⫍26C0⪮%⊝⪎⋱⫍980=⪎⋱⫍5294","layer":3},{"info":"⪎⋱⫍669⨳⩥⨓⪎⋱⫍5294=⪎⋱⫍4928","layer":2},{"info":"NaN⩨⪎⋱⫍4928=NaN","layer":1},{"info":"≦∁NaN=NaN","layer":0}]}
{"id":61,"expression_no_base_symbol":"((($1274$⫩⊇)⊘)⨓($1653$⨳⩥⨓$1077$)⪮%⊝(⫛⫱⨽$8858$))⪛((⋗⩬⋾$1147$)≧⫂∧$1772$⪢$2019$)⨟⋌⩍(($5109$⫸⊐$3971$)⋝⋈⪟(⨞⊢$4378$))","expression":"(((⪎⋱⫍770⫩⊇)⊘)⨓(⪎⋱⫍9A2⨳⩥⨓⪎⋱⫍64B)⪮%⊝(⫛⫱⨽⪎⋱⫍4055))⪛((⋗⩬⋾⪎⋱⫍6A3)≧⫂∧⪎⋱⫍A64⪢⪎⋱⫍BC4)⨟⋌⩍((⪎⋱⫍2430⫸⊐⪎⋱⫍1A66)⋝⋈⪟(⨞⊢⪎⋱⫍1CBA))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":3521,"operation_count":14,"complexity_ratio":251.5,"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":1274,"base":13}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1653,"base":13},"right_expr":{"type":"numeric_atoms","value":1077,"base":13}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":8858,"base":13}}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1147,"base":13}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1772,"base":13},"right_expr":{"type":"numeric_atoms","value":2019,"base":13}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":5109,"base":13},"right_expr":{"type":"numeric_atoms","value":3971,"base":13}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":4378,"base":13}}}}},"used_operators":["uFcxV4UQCh","3ViojmjbAp","gu96TGCTMs","BjRHVeLaeN","IWmyXbctLI","nCS4ZIUYfx","DlLNRPXxWL","rGHVDoGpnC","Ph9nP6C5qx","DpFCA1CohY","dWAJyo7jo9","2DDjHMKMc0","mqXw5SEYmG","xUOZtlo3hN"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","rGHVDoGpnC","Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1274","layer":4},{"info":"compute unary expreesion, input=1274, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-1232","layer":3},{"info":"compute unary expreesion, input=-1232, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=-1","layer":2},{"info":"number node, value=1653","layer":4},{"info":"number node, value=1077","layer":4},{"info":"compute binary expreesion, left_input=1653, right_input=1077, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-576","layer":3},{"info":"number node, value=8858","layer":4},{"info":"compute unary expreesion, input=8858, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-576, right_input=0, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', 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=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":"number node, value=1772","layer":4},{"info":"number node, value=2019","layer":4},{"info":"compute binary expreesion, left_input=1772, right_input=2019, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=-3441, 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=5109","layer":4},{"info":"number node, value=3971","layer":4},{"info":"compute binary expreesion, left_input=5109, right_input=3971, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=15759","layer":3},{"info":"number node, value=4378","layer":4},{"info":"compute unary expreesion, input=4378, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-4552","layer":3},{"info":"compute binary expreesion, left_input=15759, right_input=-4552, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=15759","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=15759, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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 = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(((⪎⋱⫍770⫩⊇)⊘)⨓(⪎⋱⫍9A2⨳⩥⨓⪎⋱⫍64B)⪮%⊝(⫛⫱⨽⪎⋱⫍4055))⪛((⋗⩬⋾⪎⋱⫍6A3)≧⫂∧⪎⋱⫍A64⪢⪎⋱⫍BC4)⨟⋌⩍((⪎⋱⫍2430⫸⊐⪎⋱⫍1A66)⋝⋈⪟(⨞⊢⪎⋱⫍1CBA))=NaN","reverse_text":"NaN=(((⪎⋱⫍770⫩⊇)⊘)⨓(⪎⋱⫍9A2⨳⩥⨓⪎⋱⫍64B)⪮%⊝(⫛⫱⨽⪎⋱⫍4055))⪛((⋗⩬⋾⪎⋱⫍6A3)≧⫂∧⪎⋱⫍A64⪢⪎⋱⫍BC4)⨟⋌⩍((⪎⋱⫍2430⫸⊐⪎⋱⫍1A66)⋝⋈⪟(⨞⊢⪎⋱⫍1CBA))","cot":[{"info":"⪎⋱⫍770⫩⊇=⪎⋱⫍-73A","layer":3},{"info":"⪎⋱⫍-73A⊘=⪎⋱⫍-1","layer":2},{"info":"⪎⋱⫍9A2⨳⩥⨓⪎⋱⫍64B=⪎⋱⫍-354","layer":3},{"info":"⫛⫱⨽⪎⋱⫍4055=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍-354⪮%⊝⪎⋱⫍0=NaN","layer":2},{"info":"⪎⋱⫍-1⨓NaN=NaN","layer":1},{"info":"⋗⩬⋾⪎⋱⫍6A3=⪎⋱⫍-1749","layer":3},{"info":"⪎⋱⫍A64⪢⪎⋱⫍BC4=NaN","layer":3},{"info":"⪎⋱⫍-1749≧⫂∧NaN=NaN","layer":2},{"info":"⪎⋱⫍2430⫸⊐⪎⋱⫍1A66=⪎⋱⫍7233","layer":3},{"info":"⨞⊢⪎⋱⫍1CBA=⪎⋱⫍-20C2","layer":3},{"info":"⪎⋱⫍7233⋝⋈⪟⪎⋱⫍-20C2=⪎⋱⫍7233","layer":2},{"info":"NaN⨟⋌⩍⪎⋱⫍7233=NaN","layer":1},{"info":"NaN⪛NaN=NaN","layer":0}]}
{"id":62,"expression_no_base_symbol":"((⊥(⪲⇎$1217$))⨸⪁($5637$⋥≓≎$5267$)⪢$2056$≹⇙⪍$1692$)⨟⋌⩍(($1344$⪄$6886$⇼⇔∾(⪝⪂⫅$5157$))⨎($4569$≫≃)⨓(↥$2242$))","expression":"((⊥(⪲⇎⪎⋱⫍728))⨸⪁(⪎⋱⫍2748⋥≓≎⪎⋱⫍2522)⪢⪎⋱⫍C22≹⇙⪍⪎⋱⫍A02)⨟⋌⩍((⪎⋱⫍7C5⪄⪎⋱⫍3199⇼⇔∾(⪝⪂⫅⪎⋱⫍2469))⨎(⪎⋱⫍2106≫≃)⨓(↥⪎⋱⫍1036))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":573,"operation_count":14,"complexity_ratio":40.92857142857143,"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":1217,"base":13}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":5637,"base":13},"right_expr":{"type":"numeric_atoms","value":5267,"base":13}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2056,"base":13},"right_expr":{"type":"numeric_atoms","value":1692,"base":13}}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1344,"base":13},"right_expr":{"type":"numeric_atoms","value":6886,"base":13}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":5157,"base":13}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":4569,"base":13}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":2242,"base":13}}}}},"used_operators":["rGHVDoGpnC","g55IO6H4Gj","Q3PJZHRvZv","XPYlsWDdGa","dWAJyo7jo9","Qy55tPpLXF","AHs5Up7iyr","rJVOvQCfKK","tifHPKVTfV","SUmda5xLS4","XTarYq4gQB","3ViojmjbAp","X99M06cbEe","A8NUZmVepG"],"dependent_operators":["Tcnh7f0tEr","W4YGzv6Whe","fu6greOZ01","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","9HNa5Wba9A","8w2t5hMYqp","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":13,"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 = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"number node, value=5637","layer":4},{"info":"number node, value=5267","layer":4},{"info":"compute binary expreesion, left_input=5637, right_input=5267, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=4930","layer":3},{"info":"number node, value=2056","layer":4},{"info":"number node, value=1692","layer":4},{"info":"compute binary expreesion, left_input=2056, right_input=1692, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=4930, 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 = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":1},{"info":"number node, value=1344","layer":4},{"info":"number node, value=6886","layer":4},{"info":"compute binary expreesion, left_input=1344, right_input=6886, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-222545","layer":3},{"info":"number node, value=5157","layer":4},{"info":"compute unary expreesion, input=5157, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-758079","layer":3},{"info":"compute binary expreesion, left_input=-222545, right_input=-758079, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-535534","layer":2},{"info":"number node, value=4569","layer":4},{"info":"compute unary expreesion, input=4569, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=10539","layer":3},{"info":"number node, value=2242","layer":4},{"info":"compute unary expreesion, input=2242, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=49","layer":3},{"info":"compute binary expreesion, left_input=10539, right_input=49, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-52","layer":2},{"info":"compute binary expreesion, left_input=-535534, right_input=-52, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-52","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-52, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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":13,"result_base":13,"text":"((⊥(⪲⇎⪎⋱⫍728))⨸⪁(⪎⋱⫍2748⋥≓≎⪎⋱⫍2522)⪢⪎⋱⫍C22≹⇙⪍⪎⋱⫍A02)⨟⋌⩍((⪎⋱⫍7C5⪄⪎⋱⫍3199⇼⇔∾(⪝⪂⫅⪎⋱⫍2469))⨎(⪎⋱⫍2106≫≃)⨓(↥⪎⋱⫍1036))=NaN","reverse_text":"NaN=((⊥(⪲⇎⪎⋱⫍728))⨸⪁(⪎⋱⫍2748⋥≓≎⪎⋱⫍2522)⪢⪎⋱⫍C22≹⇙⪍⪎⋱⫍A02)⨟⋌⩍((⪎⋱⫍7C5⪄⪎⋱⫍3199⇼⇔∾(⪝⪂⫅⪎⋱⫍2469))⨎(⪎⋱⫍2106≫≃)⨓(↥⪎⋱⫍1036))","cot":[{"info":"⪲⇎⪎⋱⫍728=⪎⋱⫍1153","layer":3},{"info":"⊥⪎⋱⫍1153=NaN","layer":2},{"info":"⪎⋱⫍2748⋥≓≎⪎⋱⫍2522=⪎⋱⫍2323","layer":3},{"info":"⪎⋱⫍C22≹⇙⪍⪎⋱⫍A02=NaN","layer":3},{"info":"⪎⋱⫍2323⪢NaN=NaN","layer":2},{"info":"NaN⨸⪁NaN=NaN","layer":1},{"info":"⪎⋱⫍7C5⪄⪎⋱⫍3199=⪎⋱⫍-7A3AB","layer":3},{"info":"⪝⪂⫅⪎⋱⫍2469=⪎⋱⫍-20708A","layer":3},{"info":"⪎⋱⫍-7A3AB⇼⇔∾⪎⋱⫍-20708A=⪎⋱⫍-1599AC","layer":2},{"info":"⪎⋱⫍2106≫≃=⪎⋱⫍4A49","layer":3},{"info":"↥⪎⋱⫍1036=⪎⋱⫍3A","layer":3},{"info":"⪎⋱⫍4A49⨓⪎⋱⫍3A=⪎⋱⫍-40","layer":2},{"info":"⪎⋱⫍-1599AC⨎⪎⋱⫍-40=⪎⋱⫍-40","layer":1},{"info":"NaN⨟⋌⩍⪎⋱⫍-40=NaN","layer":0}]}
{"id":63,"expression_no_base_symbol":"((($1507$⨽$1115$)⋳⪒($3127$⩤))⩠)⨵⪆(⨈⫕($2861$⨸⪁$1032$))⨟⋌⩍(($4411$⨐⩸⫘$5020$)≭(⨞⊢$2706$))","expression":"(((⪎⋱⫍8BC⨽⪎⋱⫍67A)⋳⪒(⪎⋱⫍1567⩤))⩠)⨵⪆(⨈⫕(⪎⋱⫍13C1⨸⪁⪎⋱⫍615))⨟⋌⩍((⪎⋱⫍2014⨐⩸⫘⪎⋱⫍2392)≭(⨞⊢⪎⋱⫍1302))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1936,"operation_count":11,"complexity_ratio":176.0,"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":1507,"base":13},"right_expr":{"type":"numeric_atoms","value":1115,"base":13}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":3127,"base":13}}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2861,"base":13},"right_expr":{"type":"numeric_atoms","value":1032,"base":13}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":4411,"base":13},"right_expr":{"type":"numeric_atoms","value":5020,"base":13}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":2706,"base":13}}}}},"used_operators":["2DQ55sFlQl","sJAwomhLZr","12rbrZMWeM","8HhzD0ZcuI","Z2TMIBDE3Q","rGHVDoGpnC","megm06wKyl","g55IO6H4Gj","rxpJgHHUmx","fu6greOZ01","xUOZtlo3hN"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","AHs5Up7iyr","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍C4","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1507","layer":4},{"info":"number node, value=1115","layer":4},{"info":"compute binary expreesion, left_input=1507, right_input=1115, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-6815178","layer":3},{"info":"number node, value=3127","layer":4},{"info":"compute unary expreesion, input=3127, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-3127","layer":3},{"info":"compute binary expreesion, left_input=-6815178, right_input=-3127, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-13627516","layer":2},{"info":"compute unary expreesion, input=-13627516, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=54510273","layer":1},{"info":"number node, value=2861","layer":4},{"info":"number node, value=1032","layer":4},{"info":"compute binary expreesion, left_input=2861, right_input=1032, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=7786","layer":3},{"info":"compute unary expreesion, input=7786, 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=4411","layer":4},{"info":"number node, value=5020","layer":4},{"info":"compute binary expreesion, left_input=4411, right_input=5020, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=2706","layer":4},{"info":"compute unary expreesion, input=2706, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-2880","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-2880, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-21, right_input=nan, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=54510273, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":13,"result_base":13,"text":"(((⪎⋱⫍8BC⨽⪎⋱⫍67A)⋳⪒(⪎⋱⫍1567⩤))⩠)⨵⪆(⨈⫕(⪎⋱⫍13C1⨸⪁⪎⋱⫍615))⨟⋌⩍((⪎⋱⫍2014⨐⩸⫘⪎⋱⫍2392)≭(⨞⊢⪎⋱⫍1302))=⪎⋱⫍C4","reverse_text":"⪎⋱⫍C4=(((⪎⋱⫍8BC⨽⪎⋱⫍67A)⋳⪒(⪎⋱⫍1567⩤))⩠)⨵⪆(⨈⫕(⪎⋱⫍13C1⨸⪁⪎⋱⫍615))⨟⋌⩍((⪎⋱⫍2014⨐⩸⫘⪎⋱⫍2392)≭(⨞⊢⪎⋱⫍1302))","cot":[{"info":"⪎⋱⫍8BC⨽⪎⋱⫍67A=⪎⋱⫍-1548066","layer":3},{"info":"⪎⋱⫍1567⩤=⪎⋱⫍-1567","layer":3},{"info":"⪎⋱⫍-1548066⋳⪒⪎⋱⫍-1567=⪎⋱⫍-2A91A26","layer":2},{"info":"⪎⋱⫍-2A91A26⩠=⪎⋱⫍B3A72CC","layer":1},{"info":"⪎⋱⫍13C1⨸⪁⪎⋱⫍615=⪎⋱⫍370C","layer":3},{"info":"⨈⫕⪎⋱⫍370C=⪎⋱⫍-18","layer":2},{"info":"⪎⋱⫍2014⨐⩸⫘⪎⋱⫍2392=NaN","layer":3},{"info":"⨞⊢⪎⋱⫍1302=⪎⋱⫍-1407","layer":3},{"info":"NaN≭⪎⋱⫍-1407=NaN","layer":2},{"info":"⪎⋱⫍-18⨟⋌⩍NaN=NaN","layer":1},{"info":"⪎⋱⫍B3A72CC⨵⪆NaN=⪎⋱⫍C4","layer":0}]}
{"id":64,"expression_no_base_symbol":"($1303$⪛$2968$≦≮≮)⪢(($1032$↙$1596$)⋝⋈⪟($1566$⨰$1348$))⋝⋈⪟((⫛⫱⨽$4090$)⊴($3727$⨓$3937$)⋝⋈⪟($2813$⩨$6199$⪒$2961$⨓$1313$))","expression":"(⪎⋱⫍793⪛⪎⋱⫍1474≦≮≮)⪢((⪎⋱⫍615↙⪎⋱⫍95A)⋝⋈⪟(⪎⋱⫍936⨰⪎⋱⫍7C9))⋝⋈⪟((⫛⫱⨽⪎⋱⫍1B28)⊴(⪎⋱⫍1909⨓⪎⋱⫍1A3B)⋝⋈⪟(⪎⋱⫍1385⩨⪎⋱⫍2A8B⪒⪎⋱⫍146A⨓⪎⋱⫍7A0))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":17047,"operation_count":14,"complexity_ratio":1217.642857142857,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1303,"base":13},"right_expr":{"type":"numeric_atoms","value":2968,"base":13}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1032,"base":13},"right_expr":{"type":"numeric_atoms","value":1596,"base":13}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1566,"base":13},"right_expr":{"type":"numeric_atoms","value":1348,"base":13}}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":4090,"base":13}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":3727,"base":13},"right_expr":{"type":"numeric_atoms","value":3937,"base":13}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2813,"base":13},"right_expr":{"type":"numeric_atoms","value":6199,"base":13}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2961,"base":13},"right_expr":{"type":"numeric_atoms","value":1313,"base":13}}}}},"used_operators":["2DDjHMKMc0","dWAJyo7jo9","D4vGDi5EA2","uFcxV4UQCh","yyfyN0ffXY","eewbuw0ToL","Nsiff2A1zJ","DlLNRPXxWL","3ViojmjbAp","f6k1SAg4EE","2DlMacCsIx"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","rGHVDoGpnC","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1303","layer":4},{"info":"number node, value=2968","layer":4},{"info":"compute binary expreesion, left_input=1303, right_input=2968, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1303","layer":3},{"info":"compute unary expreesion, input=1303, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-3909","layer":2},{"info":"number node, value=1032","layer":4},{"info":"number node, value=1596","layer":4},{"info":"compute binary expreesion, left_input=1032, right_input=1596, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-4788","layer":3},{"info":"number node, value=1566","layer":4},{"info":"number node, value=1348","layer":4},{"info":"compute binary expreesion, left_input=1566, right_input=1348, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=228","layer":3},{"info":"compute binary expreesion, left_input=-4788, right_input=228, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-4788","layer":2},{"info":"compute binary expreesion, left_input=-3909, right_input=-4788, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=4090","layer":4},{"info":"compute unary expreesion, input=4090, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=3727","layer":4},{"info":"number node, value=3937","layer":4},{"info":"compute binary expreesion, left_input=3727, right_input=3937, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3940","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-3940, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=2813","layer":4},{"info":"number node, value=6199","layer":4},{"info":"compute binary expreesion, left_input=2813, right_input=6199, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-6","layer":3},{"info":"number node, value=2961","layer":4},{"info":"number node, value=1313","layer":4},{"info":"compute binary expreesion, left_input=2961, right_input=1313, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1316","layer":3},{"info":"compute binary expreesion, left_input=-6, right_input=-1316, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=1322","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1322, 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 = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍793⪛⪎⋱⫍1474≦≮≮)⪢((⪎⋱⫍615↙⪎⋱⫍95A)⋝⋈⪟(⪎⋱⫍936⨰⪎⋱⫍7C9))⋝⋈⪟((⫛⫱⨽⪎⋱⫍1B28)⊴(⪎⋱⫍1909⨓⪎⋱⫍1A3B)⋝⋈⪟(⪎⋱⫍1385⩨⪎⋱⫍2A8B⪒⪎⋱⫍146A⨓⪎⋱⫍7A0))=NaN","reverse_text":"NaN=(⪎⋱⫍793⪛⪎⋱⫍1474≦≮≮)⪢((⪎⋱⫍615↙⪎⋱⫍95A)⋝⋈⪟(⪎⋱⫍936⨰⪎⋱⫍7C9))⋝⋈⪟((⫛⫱⨽⪎⋱⫍1B28)⊴(⪎⋱⫍1909⨓⪎⋱⫍1A3B)⋝⋈⪟(⪎⋱⫍1385⩨⪎⋱⫍2A8B⪒⪎⋱⫍146A⨓⪎⋱⫍7A0))","cot":[{"info":"⪎⋱⫍793⪛⪎⋱⫍1474=⪎⋱⫍793","layer":3},{"info":"⪎⋱⫍793≦≮≮=⪎⋱⫍-1A19","layer":2},{"info":"⪎⋱⫍615↙⪎⋱⫍95A=⪎⋱⫍-2244","layer":3},{"info":"⪎⋱⫍936⨰⪎⋱⫍7C9=⪎⋱⫍147","layer":3},{"info":"⪎⋱⫍-2244⋝⋈⪟⪎⋱⫍147=⪎⋱⫍-2244","layer":2},{"info":"⪎⋱⫍-1A19⪢⪎⋱⫍-2244=NaN","layer":1},{"info":"⫛⫱⨽⪎⋱⫍1B28=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍1909⨓⪎⋱⫍1A3B=⪎⋱⫍-1A41","layer":3},{"info":"⪎⋱⫍0⊴⪎⋱⫍-1A41=NaN","layer":2},{"info":"⪎⋱⫍1385⩨⪎⋱⫍2A8B=⪎⋱⫍-6","layer":3},{"info":"⪎⋱⫍146A⨓⪎⋱⫍7A0=⪎⋱⫍-7A3","layer":3},{"info":"⪎⋱⫍-6⪒⪎⋱⫍-7A3=⪎⋱⫍7A9","layer":2},{"info":"NaN⋝⋈⪟⪎⋱⫍7A9=NaN","layer":1},{"info":"NaN⋝⋈⪟NaN=NaN","layer":0}]}
{"id":65,"expression_no_base_symbol":"((⨑⩽⪐$1066$)⩷∴($7352$⋝⋈⪟$4092$))≹⇙⪍($1246$⫸⊐$8398$⊉≛↸(↩$1361$))⨎($5913$⩚⊴⇥$1683$⩨($5236$⇼⇔∾$8920$))≹⇙⪍($4935$∀⇚≩$1603$+⇶⊼$1605$∼$5204$)","expression":"((⨑⩽⪐⪎⋱⫍640)⩷∴(⪎⋱⫍3467⋝⋈⪟⪎⋱⫍1B2A))≹⇙⪍(⪎⋱⫍74B⫸⊐⪎⋱⫍3A90⊉≛↸(↩⪎⋱⫍809))⨎(⪎⋱⫍28CB⩚⊴⇥⪎⋱⫍9C6⩨(⪎⋱⫍24CA⇼⇔∾⪎⋱⫍40A2))≹⇙⪍(⪎⋱⫍2328∀⇚≩⪎⋱⫍964+⇶⊼⪎⋱⫍966∼⪎⋱⫍24A4)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":34646,"operation_count":15,"complexity_ratio":2309.733333333333,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":1066,"base":13}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":7352,"base":13},"right_expr":{"type":"numeric_atoms","value":4092,"base":13}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1246,"base":13},"right_expr":{"type":"numeric_atoms","value":8398,"base":13}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":1361,"base":13}}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":5913,"base":13},"right_expr":{"type":"numeric_atoms","value":1683,"base":13}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":5236,"base":13},"right_expr":{"type":"numeric_atoms","value":8920,"base":13}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":4935,"base":13},"right_expr":{"type":"numeric_atoms","value":1603,"base":13}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1605,"base":13},"right_expr":{"type":"numeric_atoms","value":5204,"base":13}}}}},"used_operators":["rJVOvQCfKK","AHs5Up7iyr","9FxExcQeMw","AF7qkfDlqP","2DDjHMKMc0","DZ8iAZOCBD","mqXw5SEYmG","jLgFTUHLKL","2DlMacCsIx","NTOWxs364D","tifHPKVTfV","TpPTUOHfaN","LRNGc0VcxI","DyGG3AbaNP"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","dWAJyo7jo9","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","X99M06cbEe","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1066","layer":4},{"info":"compute unary expreesion, input=1066, 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":3},{"info":"number node, value=7352","layer":4},{"info":"number node, value=4092","layer":4},{"info":"compute binary expreesion, left_input=7352, right_input=4092, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=7352","layer":3},{"info":"compute binary expreesion, left_input=-793, right_input=7352, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-16322","layer":2},{"info":"number node, value=1246","layer":4},{"info":"number node, value=8398","layer":4},{"info":"compute binary expreesion, left_input=1246, right_input=8398, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=33467","layer":3},{"info":"number node, value=1361","layer":4},{"info":"compute unary expreesion, input=1361, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-8108","layer":3},{"info":"compute binary expreesion, left_input=33467, right_input=-8108, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=66934","layer":2},{"info":"compute binary expreesion, left_input=-16322, right_input=66934, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=5913","layer":4},{"info":"number node, value=1683","layer":4},{"info":"compute binary expreesion, left_input=5913, right_input=1683, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-7717","layer":3},{"info":"number node, value=5236","layer":4},{"info":"number node, value=8920","layer":4},{"info":"compute binary expreesion, left_input=5236, right_input=8920, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=3684","layer":3},{"info":"compute binary expreesion, left_input=-7717, right_input=3684, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=3","layer":2},{"info":"number node, value=4935","layer":4},{"info":"number node, value=1603","layer":4},{"info":"compute binary expreesion, left_input=4935, right_input=1603, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=1605","layer":4},{"info":"number node, value=5204","layer":4},{"info":"compute binary expreesion, left_input=1605, right_input=5204, 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 = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=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":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":13,"result_base":13,"text":"((⨑⩽⪐⪎⋱⫍640)⩷∴(⪎⋱⫍3467⋝⋈⪟⪎⋱⫍1B2A))≹⇙⪍(⪎⋱⫍74B⫸⊐⪎⋱⫍3A90⊉≛↸(↩⪎⋱⫍809))⨎(⪎⋱⫍28CB⩚⊴⇥⪎⋱⫍9C6⩨(⪎⋱⫍24CA⇼⇔∾⪎⋱⫍40A2))≹⇙⪍(⪎⋱⫍2328∀⇚≩⪎⋱⫍964+⇶⊼⪎⋱⫍966∼⪎⋱⫍24A4)=NaN","reverse_text":"NaN=((⨑⩽⪐⪎⋱⫍640)⩷∴(⪎⋱⫍3467⋝⋈⪟⪎⋱⫍1B2A))≹⇙⪍(⪎⋱⫍74B⫸⊐⪎⋱⫍3A90⊉≛↸(↩⪎⋱⫍809))⨎(⪎⋱⫍28CB⩚⊴⇥⪎⋱⫍9C6⩨(⪎⋱⫍24CA⇼⇔∾⪎⋱⫍40A2))≹⇙⪍(⪎⋱⫍2328∀⇚≩⪎⋱⫍964+⇶⊼⪎⋱⫍966∼⪎⋱⫍24A4)","cot":[{"info":"⨑⩽⪐⪎⋱⫍640=⪎⋱⫍-490","layer":3},{"info":"⪎⋱⫍3467⋝⋈⪟⪎⋱⫍1B2A=⪎⋱⫍3467","layer":3},{"info":"⪎⋱⫍-490⩷∴⪎⋱⫍3467=⪎⋱⫍-7577","layer":2},{"info":"⪎⋱⫍74B⫸⊐⪎⋱⫍3A90=⪎⋱⫍12305","layer":3},{"info":"↩⪎⋱⫍809=⪎⋱⫍-38C9","layer":3},{"info":"⪎⋱⫍12305⊉≛↸⪎⋱⫍-38C9=⪎⋱⫍2460A","layer":2},{"info":"⪎⋱⫍-7577≹⇙⪍⪎⋱⫍2460A=NaN","layer":1},{"info":"⪎⋱⫍28CB⩚⊴⇥⪎⋱⫍9C6=⪎⋱⫍-3688","layer":3},{"info":"⪎⋱⫍24CA⇼⇔∾⪎⋱⫍40A2=⪎⋱⫍18A5","layer":3},{"info":"⪎⋱⫍-3688⩨⪎⋱⫍18A5=⪎⋱⫍3","layer":2},{"info":"⪎⋱⫍2328∀⇚≩⪎⋱⫍964=NaN","layer":3},{"info":"⪎⋱⫍966∼⪎⋱⫍24A4=NaN","layer":3},{"info":"NaN+⇶⊼NaN=NaN","layer":2},{"info":"⪎⋱⫍3≹⇙⪍NaN=NaN","layer":1},{"info":"NaN⨎NaN=NaN","layer":0}]}
{"id":66,"expression_no_base_symbol":"⩦⩻⨪($3047$⊴$1259$⨰$1195$⇷$6858$⫡⨏$2445$⇷$1603$⋥≓≎(∂$3331$))","expression":"⩦⩻⨪(⪎⋱⫍1505⊴⪎⋱⫍75B⨰⪎⋱⫍70C⇷⪎⋱⫍3177⫡⨏⪎⋱⫍1161⇷⪎⋱⫍964⋥≓≎(∂⪎⋱⫍1693))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":57625,"operation_count":8,"complexity_ratio":7203.125,"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":3047,"base":13},"right_expr":{"type":"numeric_atoms","value":1259,"base":13}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1195,"base":13},"right_expr":{"type":"numeric_atoms","value":6858,"base":13}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2445,"base":13},"right_expr":{"type":"numeric_atoms","value":1603,"base":13}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":3331,"base":13}}}}},"used_operators":["2td37pGCOC","QMFrweE19q","eewbuw0ToL","Nsiff2A1zJ","mp7IySMOzn","Qy55tPpLXF","Uaa54Peajs"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=3047","layer":4},{"info":"number node, value=1259","layer":4},{"info":"compute binary expreesion, left_input=3047, right_input=1259, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=1195","layer":4},{"info":"number node, value=6858","layer":4},{"info":"compute binary expreesion, left_input=1195, right_input=6858, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=13716","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=13716, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":2},{"info":"number node, value=2445","layer":4},{"info":"number node, value=1603","layer":4},{"info":"compute binary expreesion, left_input=2445, right_input=1603, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3206","layer":3},{"info":"number node, value=3331","layer":4},{"info":"compute unary expreesion, input=3331, 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=3206, 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 = 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 = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⩦⩻⨪(⪎⋱⫍1505⊴⪎⋱⫍75B⨰⪎⋱⫍70C⇷⪎⋱⫍3177⫡⨏⪎⋱⫍1161⇷⪎⋱⫍964⋥≓≎(∂⪎⋱⫍1693))=NaN","reverse_text":"NaN=⩦⩻⨪(⪎⋱⫍1505⊴⪎⋱⫍75B⨰⪎⋱⫍70C⇷⪎⋱⫍3177⫡⨏⪎⋱⫍1161⇷⪎⋱⫍964⋥≓≎(∂⪎⋱⫍1693))","cot":[{"info":"⪎⋱⫍1505⊴⪎⋱⫍75B=NaN","layer":3},{"info":"⪎⋱⫍70C⇷⪎⋱⫍3177=⪎⋱⫍6321","layer":3},{"info":"NaN⨰⪎⋱⫍6321=NaN","layer":2},{"info":"⪎⋱⫍1161⇷⪎⋱⫍964=⪎⋱⫍15C8","layer":3},{"info":"∂⪎⋱⫍1693=NaN","layer":3},{"info":"⪎⋱⫍15C8⋥≓≎NaN=NaN","layer":2},{"info":"NaN⫡⨏NaN=NaN","layer":1},{"info":"⩦⩻⨪NaN=NaN","layer":0}]}
{"id":67,"expression_no_base_symbol":"(($1426$/$2125$)⫸⊐$1858$⫸⊐$3375$)≎⊠⪸(($2095$/$5335$)⊭↱($1533$⪒$2940$))⫡⨏($1860$⩚⊴⇥$1372$⊦⊿)⨐⩸⫘($1568$≎⊠⪸$4081$)⪘⫢($2327$⫸⊐$2877$)","expression":"((⪎⋱⫍859/⪎⋱⫍C76)⫸⊐⪎⋱⫍ACC⫸⊐⪎⋱⫍16C8)≎⊠⪸((⪎⋱⫍C52/⪎⋱⫍2575)⊭↱(⪎⋱⫍90C⪒⪎⋱⫍1452))⫡⨏(⪎⋱⫍B01⩚⊴⇥⪎⋱⫍817⊦⊿)⨐⩸⫘(⪎⋱⫍938≎⊠⪸⪎⋱⫍1B1C)⪘⫢(⪎⋱⫍10A0⫸⊐⪎⋱⫍1404)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":376,"operation_count":14,"complexity_ratio":26.857142857142858,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1426,"base":13},"right_expr":{"type":"numeric_atoms","value":2125,"base":13}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1858,"base":13},"right_expr":{"type":"numeric_atoms","value":3375,"base":13}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2095,"base":13},"right_expr":{"type":"numeric_atoms","value":5335,"base":13}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1533,"base":13},"right_expr":{"type":"numeric_atoms","value":2940,"base":13}}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1860,"base":13},"right_expr":{"type":"numeric_atoms","value":1372,"base":13}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1568,"base":13},"right_expr":{"type":"numeric_atoms","value":4081,"base":13}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2327,"base":13},"right_expr":{"type":"numeric_atoms","value":2877,"base":13}}}}},"used_operators":["QMFrweE19q","bJkvcejdHO","mqXw5SEYmG","XhwjNDsVaA","COABgblf1C","f6k1SAg4EE","fu6greOZ01","14qkJME0vr","NTOWxs364D","oacrs7FA3X"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1426","layer":4},{"info":"number node, value=2125","layer":4},{"info":"compute binary expreesion, left_input=1426, right_input=2125, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=1858","layer":4},{"info":"number node, value=3375","layer":4},{"info":"compute binary expreesion, left_input=1858, right_input=3375, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=13375","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=13375, 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=2095","layer":4},{"info":"number node, value=5335","layer":4},{"info":"compute binary expreesion, left_input=2095, right_input=5335, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=1533","layer":4},{"info":"number node, value=2940","layer":4},{"info":"compute binary expreesion, left_input=1533, right_input=2940, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4473","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-4473, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-8941","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-8941, 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=1860","layer":4},{"info":"number node, value=1372","layer":4},{"info":"compute binary expreesion, left_input=1860, right_input=1372, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3353","layer":3},{"info":"compute unary expreesion, input=-3353, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=9980","layer":2},{"info":"number node, value=1568","layer":4},{"info":"number node, value=4081","layer":4},{"info":"compute binary expreesion, left_input=1568, right_input=4081, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=405639","layer":3},{"info":"number node, value=2327","layer":4},{"info":"number node, value=2877","layer":4},{"info":"compute binary expreesion, left_input=2327, right_input=2877, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=11383","layer":3},{"info":"compute binary expreesion, left_input=405639, right_input=11383, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=811154","layer":2},{"info":"compute binary expreesion, left_input=9980, right_input=811154, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = 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":13,"result_base":13,"text":"((⪎⋱⫍859/⪎⋱⫍C76)⫸⊐⪎⋱⫍ACC⫸⊐⪎⋱⫍16C8)≎⊠⪸((⪎⋱⫍C52/⪎⋱⫍2575)⊭↱(⪎⋱⫍90C⪒⪎⋱⫍1452))⫡⨏(⪎⋱⫍B01⩚⊴⇥⪎⋱⫍817⊦⊿)⨐⩸⫘(⪎⋱⫍938≎⊠⪸⪎⋱⫍1B1C)⪘⫢(⪎⋱⫍10A0⫸⊐⪎⋱⫍1404)=NaN","reverse_text":"NaN=((⪎⋱⫍859/⪎⋱⫍C76)⫸⊐⪎⋱⫍ACC⫸⊐⪎⋱⫍16C8)≎⊠⪸((⪎⋱⫍C52/⪎⋱⫍2575)⊭↱(⪎⋱⫍90C⪒⪎⋱⫍1452))⫡⨏(⪎⋱⫍B01⩚⊴⇥⪎⋱⫍817⊦⊿)⨐⩸⫘(⪎⋱⫍938≎⊠⪸⪎⋱⫍1B1C)⪘⫢(⪎⋱⫍10A0⫸⊐⪎⋱⫍1404)","cot":[{"info":"⪎⋱⫍859/⪎⋱⫍C76=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍ACC⫸⊐⪎⋱⫍16C8=⪎⋱⫍611B","layer":3},{"info":"⪎⋱⫍0⫸⊐⪎⋱⫍611B=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍C52/⪎⋱⫍2575=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍90C⪒⪎⋱⫍1452=⪎⋱⫍-2061","layer":3},{"info":"⪎⋱⫍0⊭↱⪎⋱⫍-2061=⪎⋱⫍-40BA","layer":2},{"info":"⪎⋱⫍0≎⊠⪸⪎⋱⫍-40BA=⪎⋱⫍52","layer":1},{"info":"⪎⋱⫍B01⩚⊴⇥⪎⋱⫍817=⪎⋱⫍-16AC","layer":3},{"info":"⪎⋱⫍-16AC⊦⊿=⪎⋱⫍4709","layer":2},{"info":"⪎⋱⫍938≎⊠⪸⪎⋱⫍1B1C=⪎⋱⫍112830","layer":3},{"info":"⪎⋱⫍10A0⫸⊐⪎⋱⫍1404=⪎⋱⫍5248","layer":3},{"info":"⪎⋱⫍112830⪘⫢⪎⋱⫍5248=⪎⋱⫍225296","layer":2},{"info":"⪎⋱⫍4709⨐⩸⫘⪎⋱⫍225296=NaN","layer":1},{"info":"⪎⋱⫍52⫡⨏NaN=NaN","layer":0}]}
{"id":68,"expression_no_base_symbol":"⊥(($4417$⩨$1231$)⋓(⨰⫟⨤$2978$)⋝⋈⪟($2236$⪘⫢$1895$⨵⪆($1055$≋⫹)))","expression":"⊥((⪎⋱⫍201A⩨⪎⋱⫍739)⋓(⨰⫟⨤⪎⋱⫍1481)⋝⋈⪟(⪎⋱⫍1030⪘⫢⪎⋱⫍B2A⨵⪆(⪎⋱⫍632≋⫹)))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":11112,"operation_count":8,"complexity_ratio":1389.0,"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":4417,"base":13},"right_expr":{"type":"numeric_atoms","value":1231,"base":13}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":2978,"base":13}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2236,"base":13},"right_expr":{"type":"numeric_atoms","value":1895,"base":13}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":1055,"base":13}}}}},"used_operators":["Q3PJZHRvZv","2DDjHMKMc0","T2fj7uvVaJ","2DlMacCsIx","Tw270M8GLb","2DQ55sFlQl","oacrs7FA3X","N41Kp7NANJ"],"dependent_operators":["fu6greOZ01","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4417","layer":4},{"info":"number node, value=1231","layer":4},{"info":"compute binary expreesion, left_input=4417, right_input=1231, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=2978","layer":4},{"info":"compute unary expreesion, input=2978, 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 = T2fj7uvVaJ 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=2236","layer":4},{"info":"number node, value=1895","layer":4},{"info":"compute binary expreesion, left_input=2236, right_input=1895, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=4348","layer":3},{"info":"number node, value=1055","layer":4},{"info":"compute unary expreesion, input=1055, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-2110","layer":3},{"info":"compute binary expreesion, left_input=4348, right_input=-2110, 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 unary expreesion, input=nan, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⊥((⪎⋱⫍201A⩨⪎⋱⫍739)⋓(⨰⫟⨤⪎⋱⫍1481)⋝⋈⪟(⪎⋱⫍1030⪘⫢⪎⋱⫍B2A⨵⪆(⪎⋱⫍632≋⫹)))=NaN","reverse_text":"NaN=⊥((⪎⋱⫍201A⩨⪎⋱⫍739)⋓(⨰⫟⨤⪎⋱⫍1481)⋝⋈⪟(⪎⋱⫍1030⪘⫢⪎⋱⫍B2A⨵⪆(⪎⋱⫍632≋⫹)))","cot":[{"info":"⪎⋱⫍201A⩨⪎⋱⫍739=⪎⋱⫍0","layer":3},{"info":"⨰⫟⨤⪎⋱⫍1481=NaN","layer":3},{"info":"⪎⋱⫍0⋓NaN=NaN","layer":2},{"info":"⪎⋱⫍1030⪘⫢⪎⋱⫍B2A=⪎⋱⫍1C96","layer":3},{"info":"⪎⋱⫍632≋⫹=⪎⋱⫍-C64","layer":3},{"info":"⪎⋱⫍1C96⨵⪆⪎⋱⫍-C64=⪎⋱⫍C4","layer":2},{"info":"NaN⋝⋈⪟⪎⋱⫍C4=NaN","layer":1},{"info":"⊥NaN=NaN","layer":0}]}
{"id":69,"expression_no_base_symbol":"(((⫛⫱⨽$3099$)⨳⩥⨓($3741$⇼⇔∾$2177$))⩚⊴⇥(∂(-$4353$)))⋝⋈⪟(-(⨵≀≌$1371$)∲⫓(⨑⩽⪐$4481$))","expression":"(((⫛⫱⨽⪎⋱⫍1545)⨳⩥⨓(⪎⋱⫍191A⇼⇔∾⪎⋱⫍CB6))⩚⊴⇥(∂(-⪎⋱⫍1C9B)))⋝⋈⪟(-(⨵≀≌⪎⋱⫍816)∲⫓(⨑⩽⪐⪎⋱⫍2069))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1860,"operation_count":11,"complexity_ratio":169.0909090909091,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":3099,"base":13}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":3741,"base":13},"right_expr":{"type":"numeric_atoms","value":2177,"base":13}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":4353,"base":13}}}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1371,"base":13}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":4481,"base":13}}}}},"used_operators":["2DDjHMKMc0","NTOWxs364D","nCS4ZIUYfx","DlLNRPXxWL","tifHPKVTfV","Uaa54Peajs","t8gj7n24qd","i8ToyICDmI","srAu1WTS94","AF7qkfDlqP"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"⪎⋱⫍-1287","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3099","layer":4},{"info":"compute unary expreesion, input=3099, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=3741","layer":4},{"info":"number node, value=2177","layer":4},{"info":"compute binary expreesion, left_input=3741, right_input=2177, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-1564","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-1564, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-1564","layer":2},{"info":"number node, value=4353","layer":4},{"info":"compute unary expreesion, input=4353, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-4353","layer":3},{"info":"compute unary expreesion, input=-4353, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=4089","layer":2},{"info":"compute binary expreesion, left_input=-1564, right_input=4089, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-2646","layer":1},{"info":"number node, value=1371","layer":4},{"info":"compute unary expreesion, input=1371, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-4113","layer":3},{"info":"number node, value=4481","layer":4},{"info":"compute unary expreesion, input=4481, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-4208","layer":3},{"info":"compute binary expreesion, left_input=-4113, right_input=-4208, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=-4113","layer":2},{"info":"compute unary expreesion, input=-4113, op_id = t8gj7n24qd, unary_op_definition = 'None', output=4113","layer":1},{"info":"compute binary expreesion, left_input=-2646, right_input=4113, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-2646","layer":0}],"base":13,"result_base":13,"text":"(((⫛⫱⨽⪎⋱⫍1545)⨳⩥⨓(⪎⋱⫍191A⇼⇔∾⪎⋱⫍CB6))⩚⊴⇥(∂(-⪎⋱⫍1C9B)))⋝⋈⪟(-(⨵≀≌⪎⋱⫍816)∲⫓(⨑⩽⪐⪎⋱⫍2069))=⪎⋱⫍-1287","reverse_text":"⪎⋱⫍-1287=(((⫛⫱⨽⪎⋱⫍1545)⨳⩥⨓(⪎⋱⫍191A⇼⇔∾⪎⋱⫍CB6))⩚⊴⇥(∂(-⪎⋱⫍1C9B)))⋝⋈⪟(-(⨵≀≌⪎⋱⫍816)∲⫓(⨑⩽⪐⪎⋱⫍2069))","cot":[{"info":"⫛⫱⨽⪎⋱⫍1545=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍191A⇼⇔∾⪎⋱⫍CB6=⪎⋱⫍-934","layer":3},{"info":"⪎⋱⫍0⨳⩥⨓⪎⋱⫍-934=⪎⋱⫍-934","layer":2},{"info":"-⪎⋱⫍1C9B=⪎⋱⫍-1C9B","layer":3},{"info":"∂⪎⋱⫍-1C9B=⪎⋱⫍1B27","layer":2},{"info":"⪎⋱⫍-934⩚⊴⇥⪎⋱⫍1B27=⪎⋱⫍-1287","layer":1},{"info":"⨵≀≌⪎⋱⫍816=⪎⋱⫍-1B45","layer":3},{"info":"⨑⩽⪐⪎⋱⫍2069=⪎⋱⫍-1BB9","layer":3},{"info":"⪎⋱⫍-1B45∲⫓⪎⋱⫍-1BB9=⪎⋱⫍-1B45","layer":2},{"info":"-⪎⋱⫍-1B45=⪎⋱⫍1B45","layer":1},{"info":"⪎⋱⫍-1287⋝⋈⪟⪎⋱⫍1B45=⪎⋱⫍-1287","layer":0}]}
{"id":70,"expression_no_base_symbol":"(($3957$⋷$3021$)⋝⋈⪟$2027$∑⇟⊟$3462$)∀⇚≩($2951$⪢$2509$⪄(⨞⊢$2038$))⊭↱(⨞⊢(+⊝⨔$4443$)⪢($3081$∼$2578$))","expression":"((⪎⋱⫍1A55⋷⪎⋱⫍14B5)⋝⋈⪟⪎⋱⫍BCC∑⇟⊟⪎⋱⫍1764)∀⇚≩(⪎⋱⫍1460⪢⪎⋱⫍11B0⪄(⨞⊢⪎⋱⫍C0A))⊭↱(⨞⊢(+⊝⨔⪎⋱⫍203A)⪢(⪎⋱⫍1530∼⪎⋱⫍1234))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":3117,"operation_count":12,"complexity_ratio":259.75,"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":3957,"base":13},"right_expr":{"type":"numeric_atoms","value":3021,"base":13}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":2027,"base":13},"right_expr":{"type":"numeric_atoms","value":3462,"base":13}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2951,"base":13},"right_expr":{"type":"numeric_atoms","value":2509,"base":13}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":2038,"base":13}}}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":4443,"base":13}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":3081,"base":13},"right_expr":{"type":"numeric_atoms","value":2578,"base":13}}}}},"used_operators":["COABgblf1C","LRNGc0VcxI","2DDjHMKMc0","23Mk6UjR3U","U7g4x0WXJJ","SUmda5xLS4","dWAJyo7jo9","xUOZtlo3hN","DhbWaqg5eL","DyGG3AbaNP"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3957","layer":4},{"info":"number node, value=3021","layer":4},{"info":"compute binary expreesion, left_input=3957, right_input=3021, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=2085","layer":3},{"info":"number node, value=2027","layer":4},{"info":"number node, value=3462","layer":4},{"info":"compute binary expreesion, left_input=2027, right_input=3462, 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=2085, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":2},{"info":"number node, value=2951","layer":4},{"info":"number node, value=2509","layer":4},{"info":"compute binary expreesion, left_input=2951, right_input=2509, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=2038","layer":4},{"info":"compute unary expreesion, input=2038, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-2212","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-2212, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=3979, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=4443","layer":4},{"info":"compute unary expreesion, input=4443, 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=3081","layer":4},{"info":"number node, value=2578","layer":4},{"info":"compute binary expreesion, left_input=3081, right_input=2578, 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=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":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":13,"result_base":13,"text":"((⪎⋱⫍1A55⋷⪎⋱⫍14B5)⋝⋈⪟⪎⋱⫍BCC∑⇟⊟⪎⋱⫍1764)∀⇚≩(⪎⋱⫍1460⪢⪎⋱⫍11B0⪄(⨞⊢⪎⋱⫍C0A))⊭↱(⨞⊢(+⊝⨔⪎⋱⫍203A)⪢(⪎⋱⫍1530∼⪎⋱⫍1234))=NaN","reverse_text":"NaN=((⪎⋱⫍1A55⋷⪎⋱⫍14B5)⋝⋈⪟⪎⋱⫍BCC∑⇟⊟⪎⋱⫍1764)∀⇚≩(⪎⋱⫍1460⪢⪎⋱⫍11B0⪄(⨞⊢⪎⋱⫍C0A))⊭↱(⨞⊢(+⊝⨔⪎⋱⫍203A)⪢(⪎⋱⫍1530∼⪎⋱⫍1234))","cot":[{"info":"⪎⋱⫍1A55⋷⪎⋱⫍14B5=⪎⋱⫍C45","layer":3},{"info":"⪎⋱⫍BCC∑⇟⊟⪎⋱⫍1764=NaN","layer":3},{"info":"⪎⋱⫍C45⋝⋈⪟NaN=NaN","layer":2},{"info":"⪎⋱⫍1460⪢⪎⋱⫍11B0=NaN","layer":3},{"info":"⨞⊢⪎⋱⫍C0A=⪎⋱⫍-1012","layer":3},{"info":"NaN⪄⪎⋱⫍-1012=⪎⋱⫍1A71","layer":2},{"info":"NaN∀⇚≩⪎⋱⫍1A71=NaN","layer":1},{"info":"+⊝⨔⪎⋱⫍203A=⪎⋱⫍901","layer":3},{"info":"⪎⋱⫍1530∼⪎⋱⫍1234=NaN","layer":3},{"info":"⪎⋱⫍901⪢NaN=NaN","layer":2},{"info":"⨞⊢NaN=NaN","layer":1},{"info":"NaN⊭↱NaN=NaN","layer":0}]}
{"id":71,"expression_no_base_symbol":"(∥⊫$2594$⨪↰⇹$2633$)⪘⫢($1007$⪛$1541$)⨟⋌⩍($1603$∸)-($1288$⨽$1478$⪨≂(≉$1534$))+⇶⊼($3588$⋳⪒$4207$⋳⪒(⨵≀≌$1389$))","expression":"(∥⊫⪎⋱⫍1247⨪↰⇹⪎⋱⫍1277)⪘⫢(⪎⋱⫍5C6⪛⪎⋱⫍917)⨟⋌⩍(⪎⋱⫍964∸)-(⪎⋱⫍781⨽⪎⋱⫍899⪨≂(≉⪎⋱⫍910))+⇶⊼(⪎⋱⫍1830⋳⪒⪎⋱⫍1BB8⋳⪒(⨵≀≌⪎⋱⫍82B))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":5329,"operation_count":14,"complexity_ratio":380.64285714285717,"tree":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2594,"base":13},"right_expr":{"type":"numeric_atoms","value":2633,"base":13}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1007,"base":13},"right_expr":{"type":"numeric_atoms","value":1541,"base":13}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":1603,"base":13}}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1288,"base":13},"right_expr":{"type":"numeric_atoms","value":1478,"base":13}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1534,"base":13}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":3588,"base":13},"right_expr":{"type":"numeric_atoms","value":4207,"base":13}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1389,"base":13}}}}},"used_operators":["rysDP5nf3Z","oacrs7FA3X","P8v4zCKN1o","tmPS8pqC7x","rGHVDoGpnC","uFcxV4UQCh","o20kRiQErp","TpPTUOHfaN","sdazOOVcIp","8HhzD0ZcuI","e1ybzncUwg","12rbrZMWeM","srAu1WTS94"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","Tcnh7f0tEr","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","tmPS8pqC7x","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2594","layer":4},{"info":"number node, value=2633","layer":4},{"info":"compute binary expreesion, left_input=2594, right_input=2633, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=2594","layer":3},{"info":"compute unary expreesion, input=2594, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=3462","layer":2},{"info":"number node, value=1007","layer":4},{"info":"number node, value=1541","layer":4},{"info":"compute binary expreesion, left_input=1007, right_input=1541, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1007","layer":3},{"info":"number node, value=1603","layer":4},{"info":"compute unary expreesion, input=1603, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"compute binary expreesion, left_input=1007, right_input=177, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=0","layer":2},{"info":"compute binary expreesion, left_input=3462, right_input=0, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=0","layer":1},{"info":"number node, value=1288","layer":4},{"info":"number node, value=1478","layer":4},{"info":"compute binary expreesion, left_input=1288, right_input=1478, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-4979952","layer":3},{"info":"number node, value=1534","layer":4},{"info":"compute unary expreesion, input=1534, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=2065","layer":3},{"info":"compute binary expreesion, left_input=-4979952, right_input=2065, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-9963932","layer":2},{"info":"number node, value=3588","layer":4},{"info":"number node, value=4207","layer":4},{"info":"compute binary expreesion, left_input=3588, right_input=4207, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=2682","layer":3},{"info":"number node, value=1389","layer":4},{"info":"compute unary expreesion, input=1389, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-4167","layer":3},{"info":"compute binary expreesion, left_input=2682, right_input=-4167, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=9244","layer":2},{"info":"compute binary expreesion, left_input=-9963932, right_input=9244, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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 = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":13,"result_base":13,"text":"(∥⊫⪎⋱⫍1247⨪↰⇹⪎⋱⫍1277)⪘⫢(⪎⋱⫍5C6⪛⪎⋱⫍917)⨟⋌⩍(⪎⋱⫍964∸)-(⪎⋱⫍781⨽⪎⋱⫍899⪨≂(≉⪎⋱⫍910))+⇶⊼(⪎⋱⫍1830⋳⪒⪎⋱⫍1BB8⋳⪒(⨵≀≌⪎⋱⫍82B))=NaN","reverse_text":"NaN=(∥⊫⪎⋱⫍1247⨪↰⇹⪎⋱⫍1277)⪘⫢(⪎⋱⫍5C6⪛⪎⋱⫍917)⨟⋌⩍(⪎⋱⫍964∸)-(⪎⋱⫍781⨽⪎⋱⫍899⪨≂(≉⪎⋱⫍910))+⇶⊼(⪎⋱⫍1830⋳⪒⪎⋱⫍1BB8⋳⪒(⨵≀≌⪎⋱⫍82B))","cot":[{"info":"⪎⋱⫍1247⨪↰⇹⪎⋱⫍1277=⪎⋱⫍1247","layer":3},{"info":"∥⊫⪎⋱⫍1247=⪎⋱⫍1764","layer":2},{"info":"⪎⋱⫍5C6⪛⪎⋱⫍917=⪎⋱⫍5C6","layer":3},{"info":"⪎⋱⫍964∸=⪎⋱⫍108","layer":3},{"info":"⪎⋱⫍5C6⨟⋌⩍⪎⋱⫍108=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍1764⪘⫢⪎⋱⫍0=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍781⨽⪎⋱⫍899=⪎⋱⫍-1054923","layer":3},{"info":"≉⪎⋱⫍910=⪎⋱⫍C2B","layer":3},{"info":"⪎⋱⫍-1054923⪨≂⪎⋱⫍C2B=⪎⋱⫍-20AB324","layer":2},{"info":"⪎⋱⫍1830⋳⪒⪎⋱⫍1BB8=⪎⋱⫍12B4","layer":3},{"info":"⨵≀≌⪎⋱⫍82B=⪎⋱⫍-1B87","layer":3},{"info":"⪎⋱⫍12B4⋳⪒⪎⋱⫍-1B87=⪎⋱⫍4291","layer":2},{"info":"⪎⋱⫍-20AB324+⇶⊼⪎⋱⫍4291=NaN","layer":1},{"info":"⪎⋱⫍0-NaN=NaN","layer":0}]}
{"id":72,"expression_no_base_symbol":"$4236$⪢$2565$⨐⩸⫘$1755$⨟⋌⩍$1004$⨸⪁($1931$⫌⩹⨱)⪛($5591$⨪↰⇹$4147$)⨸⪁(($1836$⊉≛↸$6672$≋⫹)⩤)","expression":"⪎⋱⫍1C0B⪢⪎⋱⫍1224⨐⩸⫘⪎⋱⫍A50⨟⋌⩍⪎⋱⫍5C3⨸⪁(⪎⋱⫍B57⫌⩹⨱)⪛(⪎⋱⫍2711⨪↰⇹⪎⋱⫍1B70)⨸⪁((⪎⋱⫍AB3⊉≛↸⪎⋱⫍3063≋⫹)⩤)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":8599,"operation_count":11,"complexity_ratio":781.7272727272727,"tree":{"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":13},"right_expr":{"type":"numeric_atoms","value":2565,"base":13}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1755,"base":13},"right_expr":{"type":"numeric_atoms","value":1004,"base":13}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":1931,"base":13}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":5591,"base":13},"right_expr":{"type":"numeric_atoms","value":4147,"base":13}}}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1836,"base":13},"right_expr":{"type":"numeric_atoms","value":6672,"base":13}}}}},"used_operators":["g55IO6H4Gj","fu6greOZ01","dWAJyo7jo9","rGHVDoGpnC","uFcxV4UQCh","EBcxylXtPf","tmPS8pqC7x","Z2TMIBDE3Q","N41Kp7NANJ","DZ8iAZOCBD"],"dependent_operators":["W4YGzv6Whe","3ViojmjbAp","k8jYdgA6NY","Tcnh7f0tEr","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4236","layer":4},{"info":"number node, value=2565","layer":4},{"info":"compute binary expreesion, left_input=4236, right_input=2565, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=1755","layer":4},{"info":"number node, value=1004","layer":4},{"info":"compute binary expreesion, left_input=1755, right_input=1004, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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 = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=1931","layer":4},{"info":"compute unary expreesion, input=1931, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=5263","layer":3},{"info":"number node, value=5591","layer":4},{"info":"number node, value=4147","layer":4},{"info":"compute binary expreesion, left_input=5591, right_input=4147, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=5591","layer":3},{"info":"compute binary expreesion, left_input=5263, right_input=5591, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=5263","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=5263, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":1},{"info":"number node, value=1836","layer":4},{"info":"number node, value=6672","layer":4},{"info":"compute binary expreesion, left_input=1836, right_input=6672, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3672","layer":3},{"info":"compute unary expreesion, input=3672, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-7344","layer":2},{"info":"compute unary expreesion, input=-7344, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=7344","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=7344, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍1C0B⪢⪎⋱⫍1224⨐⩸⫘⪎⋱⫍A50⨟⋌⩍⪎⋱⫍5C3⨸⪁(⪎⋱⫍B57⫌⩹⨱)⪛(⪎⋱⫍2711⨪↰⇹⪎⋱⫍1B70)⨸⪁((⪎⋱⫍AB3⊉≛↸⪎⋱⫍3063≋⫹)⩤)=NaN","reverse_text":"NaN=⪎⋱⫍1C0B⪢⪎⋱⫍1224⨐⩸⫘⪎⋱⫍A50⨟⋌⩍⪎⋱⫍5C3⨸⪁(⪎⋱⫍B57⫌⩹⨱)⪛(⪎⋱⫍2711⨪↰⇹⪎⋱⫍1B70)⨸⪁((⪎⋱⫍AB3⊉≛↸⪎⋱⫍3063≋⫹)⩤)","cot":[{"info":"⪎⋱⫍1C0B⪢⪎⋱⫍1224=NaN","layer":3},{"info":"⪎⋱⫍A50⨟⋌⩍⪎⋱⫍5C3=NaN","layer":3},{"info":"NaN⨐⩸⫘NaN=NaN","layer":2},{"info":"⪎⋱⫍B57⫌⩹⨱=⪎⋱⫍251B","layer":3},{"info":"⪎⋱⫍2711⨪↰⇹⪎⋱⫍1B70=⪎⋱⫍2711","layer":3},{"info":"⪎⋱⫍251B⪛⪎⋱⫍2711=⪎⋱⫍251B","layer":2},{"info":"NaN⨸⪁⪎⋱⫍251B=NaN","layer":1},{"info":"⪎⋱⫍AB3⊉≛↸⪎⋱⫍3063=⪎⋱⫍1896","layer":3},{"info":"⪎⋱⫍1896≋⫹=⪎⋱⫍-345C","layer":2},{"info":"⪎⋱⫍-345C⩤=⪎⋱⫍345C","layer":1},{"info":"NaN⨸⪁⪎⋱⫍345C=NaN","layer":0}]}
{"id":73,"expression_no_base_symbol":"⨰⫟⨤(≦∁($2440$⩨$4869$⋷$1688$⊴$1330$))","expression":"⨰⫟⨤(≦∁(⪎⋱⫍1159⩨⪎⋱⫍22A7⋷⪎⋱⫍9CB⊴⪎⋱⫍7B4))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":4161,"operation_count":5,"complexity_ratio":832.2,"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":2440,"base":13},"right_expr":{"type":"numeric_atoms","value":4869,"base":13}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1688,"base":13},"right_expr":{"type":"numeric_atoms","value":1330,"base":13}}}}},"used_operators":["Tw270M8GLb","9ICcGScMcE","23Mk6UjR3U","2DlMacCsIx","Nsiff2A1zJ"],"dependent_operators":["sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2440","layer":4},{"info":"number node, value=4869","layer":4},{"info":"compute binary expreesion, left_input=2440, right_input=4869, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":3},{"info":"number node, value=1688","layer":4},{"info":"number node, value=1330","layer":4},{"info":"compute binary expreesion, left_input=1688, right_input=1330, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-3, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=6","layer":2},{"info":"compute unary expreesion, input=6, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=-392","layer":1},{"info":"compute unary expreesion, input=-392, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⨰⫟⨤(≦∁(⪎⋱⫍1159⩨⪎⋱⫍22A7⋷⪎⋱⫍9CB⊴⪎⋱⫍7B4))=NaN","reverse_text":"NaN=⨰⫟⨤(≦∁(⪎⋱⫍1159⩨⪎⋱⫍22A7⋷⪎⋱⫍9CB⊴⪎⋱⫍7B4))","cot":[{"info":"⪎⋱⫍1159⩨⪎⋱⫍22A7=⪎⋱⫍-3","layer":3},{"info":"⪎⋱⫍9CB⊴⪎⋱⫍7B4=NaN","layer":3},{"info":"⪎⋱⫍-3⋷NaN=⪎⋱⫍6","layer":2},{"info":"≦∁⪎⋱⫍6=⪎⋱⫍-242","layer":1},{"info":"⨰⫟⨤⪎⋱⫍-242=NaN","layer":0}]}
{"id":74,"expression_no_base_symbol":"↥(((∂$1104$)⋷$7988$∑⇟⊟$4037$)↺((⨞⊢$2104$)⊭↱($5827$%$3205$)))","expression":"↥(((∂⪎⋱⫍66C)⋷⪎⋱⫍3836∑⇟⊟⪎⋱⫍1AB7)↺((⨞⊢⪎⋱⫍C5B)⊭↱(⪎⋱⫍2863%⪎⋱⫍15C7)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":207,"operation_count":8,"complexity_ratio":25.875,"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":1104,"base":13}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":7988,"base":13},"right_expr":{"type":"numeric_atoms","value":4037,"base":13}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":2104,"base":13}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":5827,"base":13},"right_expr":{"type":"numeric_atoms","value":3205,"base":13}}}}},"used_operators":["A8NUZmVepG","7j4O788W3g","23Mk6UjR3U","Uaa54Peajs","U7g4x0WXJJ","COABgblf1C","xUOZtlo3hN","k8jYdgA6NY"],"dependent_operators":["k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"⪎⋱⫍10","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1104","layer":4},{"info":"compute unary expreesion, input=1104, 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=7988","layer":4},{"info":"number node, value=4037","layer":4},{"info":"compute binary expreesion, left_input=7988, right_input=4037, 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 = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":2},{"info":"number node, value=2104","layer":4},{"info":"compute unary expreesion, input=2104, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-2278","layer":3},{"info":"number node, value=5827","layer":4},{"info":"number node, value=3205","layer":4},{"info":"compute binary expreesion, left_input=5827, right_input=3205, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2622","layer":3},{"info":"compute binary expreesion, left_input=-2278, right_input=2622, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=9805","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=9805, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=9805","layer":1},{"info":"compute unary expreesion, input=9805, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=13","layer":0}],"base":13,"result_base":13,"text":"↥(((∂⪎⋱⫍66C)⋷⪎⋱⫍3836∑⇟⊟⪎⋱⫍1AB7)↺((⨞⊢⪎⋱⫍C5B)⊭↱(⪎⋱⫍2863%⪎⋱⫍15C7)))=⪎⋱⫍10","reverse_text":"⪎⋱⫍10=↥(((∂⪎⋱⫍66C)⋷⪎⋱⫍3836∑⇟⊟⪎⋱⫍1AB7)↺((⨞⊢⪎⋱⫍C5B)⊭↱(⪎⋱⫍2863%⪎⋱⫍15C7)))","cot":[{"info":"∂⪎⋱⫍66C=NaN","layer":3},{"info":"⪎⋱⫍3836∑⇟⊟⪎⋱⫍1AB7=NaN","layer":3},{"info":"NaN⋷NaN=NaN","layer":2},{"info":"⨞⊢⪎⋱⫍C5B=⪎⋱⫍-1063","layer":3},{"info":"⪎⋱⫍2863%⪎⋱⫍15C7=⪎⋱⫍1269","layer":3},{"info":"⪎⋱⫍-1063⊭↱⪎⋱⫍1269=⪎⋱⫍4603","layer":2},{"info":"NaN↺⪎⋱⫍4603=⪎⋱⫍4603","layer":1},{"info":"↥⪎⋱⫍4603=⪎⋱⫍10","layer":0}]}
{"id":75,"expression_no_base_symbol":"((⨰⫟⨤$2989$⪘⫢$3659$)⨸⪁(⪲⇎$3634$)⪮%⊝($2058$∲⫓$1554$))⫩⊇","expression":"((⨰⫟⨤⪎⋱⫍148C⪘⫢⪎⋱⫍1886)⨸⪁(⪲⇎⪎⋱⫍1867)⪮%⊝(⪎⋱⫍C24∲⫓⪎⋱⫍927))⫩⊇","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":22609,"operation_count":7,"complexity_ratio":3229.8571428571427,"tree":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2989,"base":13},"right_expr":{"type":"numeric_atoms","value":3659,"base":13}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":3634,"base":13}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2058,"base":13},"right_expr":{"type":"numeric_atoms","value":1554,"base":13}}}}},"used_operators":["BjRHVeLaeN","g55IO6H4Gj","Tw270M8GLb","oacrs7FA3X","IWmyXbctLI","XPYlsWDdGa","i8ToyICDmI"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2989","layer":4},{"info":"number node, value=3659","layer":4},{"info":"compute binary expreesion, left_input=2989, right_input=3659, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=5854","layer":3},{"info":"compute unary expreesion, input=5854, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":2},{"info":"number node, value=3634","layer":4},{"info":"compute unary expreesion, input=3634, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=7268","layer":3},{"info":"number node, value=2058","layer":4},{"info":"number node, value=1554","layer":4},{"info":"compute binary expreesion, left_input=2058, right_input=1554, 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=7268, right_input=0, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⨰⫟⨤⪎⋱⫍148C⪘⫢⪎⋱⫍1886)⨸⪁(⪲⇎⪎⋱⫍1867)⪮%⊝(⪎⋱⫍C24∲⫓⪎⋱⫍927))⫩⊇=NaN","reverse_text":"NaN=((⨰⫟⨤⪎⋱⫍148C⪘⫢⪎⋱⫍1886)⨸⪁(⪲⇎⪎⋱⫍1867)⪮%⊝(⪎⋱⫍C24∲⫓⪎⋱⫍927))⫩⊇","cot":[{"info":"⪎⋱⫍148C⪘⫢⪎⋱⫍1886=⪎⋱⫍2884","layer":3},{"info":"⨰⫟⨤⪎⋱⫍2884=NaN","layer":2},{"info":"⪲⇎⪎⋱⫍1867=⪎⋱⫍3401","layer":3},{"info":"⪎⋱⫍C24∲⫓⪎⋱⫍927=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍3401⪮%⊝⪎⋱⫍0=NaN","layer":2},{"info":"NaN⨸⪁NaN=NaN","layer":1},{"info":"NaN⫩⊇=NaN","layer":0}]}
{"id":76,"expression_no_base_symbol":"($1217$⪄$2966$/$1023$⪮%⊝$3455$)⊴(($2926$%$4908$)⋓($4988$*$9528$))⨁⊸⫻","expression":"(⪎⋱⫍728⪄⪎⋱⫍1472/⪎⋱⫍609⪮%⊝⪎⋱⫍175A)⊴((⪎⋱⫍1441%⪎⋱⫍2307)⋓(⪎⋱⫍2369*⪎⋱⫍444C))⨁⊸⫻","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":5195,"operation_count":8,"complexity_ratio":649.375,"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":1217,"base":13},"right_expr":{"type":"numeric_atoms","value":2966,"base":13}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1023,"base":13},"right_expr":{"type":"numeric_atoms","value":3455,"base":13}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2926,"base":13},"right_expr":{"type":"numeric_atoms","value":4908,"base":13}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":4988,"base":13},"right_expr":{"type":"numeric_atoms","value":9528,"base":13}}}}},"used_operators":["glklzrTFfD","Nsiff2A1zJ","XhwjNDsVaA","SUmda5xLS4","IWmyXbctLI","T2fj7uvVaJ","k8jYdgA6NY","9HNa5Wba9A"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","W4YGzv6Whe"],"result":"⪎⋱⫍-C2","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1217","layer":4},{"info":"number node, value=2966","layer":4},{"info":"compute binary expreesion, left_input=1217, right_input=2966, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-188069","layer":3},{"info":"number node, value=1023","layer":4},{"info":"number node, value=3455","layer":4},{"info":"compute binary expreesion, left_input=1023, right_input=3455, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=2362","layer":3},{"info":"compute binary expreesion, left_input=-188069, right_input=2362, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-80","layer":2},{"info":"number node, value=2926","layer":4},{"info":"number node, value=4908","layer":4},{"info":"compute binary expreesion, left_input=2926, right_input=4908, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2926","layer":3},{"info":"number node, value=4988","layer":4},{"info":"number node, value=9528","layer":4},{"info":"compute binary expreesion, left_input=4988, right_input=9528, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=47525664","layer":3},{"info":"compute binary expreesion, left_input=2926, right_input=47525664, op_id = T2fj7uvVaJ binary_op_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=-80, right_input=0, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=-79","layer":1},{"info":"compute unary expreesion, input=-79, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=-158","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍728⪄⪎⋱⫍1472/⪎⋱⫍609⪮%⊝⪎⋱⫍175A)⊴((⪎⋱⫍1441%⪎⋱⫍2307)⋓(⪎⋱⫍2369*⪎⋱⫍444C))⨁⊸⫻=⪎⋱⫍-C2","reverse_text":"⪎⋱⫍-C2=(⪎⋱⫍728⪄⪎⋱⫍1472/⪎⋱⫍609⪮%⊝⪎⋱⫍175A)⊴((⪎⋱⫍1441%⪎⋱⫍2307)⋓(⪎⋱⫍2369*⪎⋱⫍444C))⨁⊸⫻","cot":[{"info":"⪎⋱⫍728⪄⪎⋱⫍1472=⪎⋱⫍-677AB","layer":3},{"info":"⪎⋱⫍609⪮%⊝⪎⋱⫍175A=⪎⋱⫍10C9","layer":3},{"info":"⪎⋱⫍-677AB/⪎⋱⫍10C9=⪎⋱⫍-62","layer":2},{"info":"⪎⋱⫍1441%⪎⋱⫍2307=⪎⋱⫍1441","layer":3},{"info":"⪎⋱⫍2369*⪎⋱⫍444C=⪎⋱⫍9B000C4","layer":3},{"info":"⪎⋱⫍1441⋓⪎⋱⫍9B000C4=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍-62⊴⪎⋱⫍0=⪎⋱⫍-61","layer":1},{"info":"⪎⋱⫍-61⨁⊸⫻=⪎⋱⫍-C2","layer":0}]}
{"id":77,"expression_no_base_symbol":"((⊥($1044$↙$3622$))⩠)⪢(($2150$≹⇙⪍$1611$/$1018$⋝⋈⪟$3700$)⫌⩹⨱)","expression":"((⊥(⪎⋱⫍624↙⪎⋱⫍1858))⩠)⪢((⪎⋱⫍C95≹⇙⪍⪎⋱⫍96C/⪎⋱⫍604⋝⋈⪟⪎⋱⫍18B8)⫌⩹⨱)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3657,"operation_count":8,"complexity_ratio":457.125,"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":1044,"base":13},"right_expr":{"type":"numeric_atoms","value":3622,"base":13}}}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2150,"base":13},"right_expr":{"type":"numeric_atoms","value":1611,"base":13}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1018,"base":13},"right_expr":{"type":"numeric_atoms","value":3700,"base":13}}}}},"used_operators":["dWAJyo7jo9","sJAwomhLZr","Q3PJZHRvZv","yyfyN0ffXY","EBcxylXtPf","XhwjNDsVaA","AHs5Up7iyr","2DDjHMKMc0"],"dependent_operators":["k8jYdgA6NY","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","fu6greOZ01","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1044","layer":4},{"info":"number node, value=3622","layer":4},{"info":"compute binary expreesion, left_input=1044, right_input=3622, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-10866","layer":3},{"info":"compute unary expreesion, input=-10866, op_id = Q3PJZHRvZv, unary_op_definition = '⊥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":"number node, value=2150","layer":4},{"info":"number node, value=1611","layer":4},{"info":"compute binary expreesion, left_input=2150, right_input=1611, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=1018","layer":4},{"info":"number node, value=3700","layer":4},{"info":"compute binary expreesion, left_input=1018, right_input=3700, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1018","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1018, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=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":13,"result_base":13,"text":"((⊥(⪎⋱⫍624↙⪎⋱⫍1858))⩠)⪢((⪎⋱⫍C95≹⇙⪍⪎⋱⫍96C/⪎⋱⫍604⋝⋈⪟⪎⋱⫍18B8)⫌⩹⨱)=NaN","reverse_text":"NaN=((⊥(⪎⋱⫍624↙⪎⋱⫍1858))⩠)⪢((⪎⋱⫍C95≹⇙⪍⪎⋱⫍96C/⪎⋱⫍604⋝⋈⪟⪎⋱⫍18B8)⫌⩹⨱)","cot":[{"info":"⪎⋱⫍624↙⪎⋱⫍1858=⪎⋱⫍-4C3B","layer":3},{"info":"⊥⪎⋱⫍-4C3B=NaN","layer":2},{"info":"NaN⩠=NaN","layer":1},{"info":"⪎⋱⫍C95≹⇙⪍⪎⋱⫍96C=NaN","layer":3},{"info":"⪎⋱⫍604⋝⋈⪟⪎⋱⫍18B8=⪎⋱⫍604","layer":3},{"info":"NaN/⪎⋱⫍604=NaN","layer":2},{"info":"NaN⫌⩹⨱=NaN","layer":1},{"info":"NaN⪢NaN=NaN","layer":0}]}
{"id":78,"expression_no_base_symbol":"($7754$⊘)↬($8644$⋝⋈⪟$6037$)⪄((⨞⊢$1388$)≋⫹)↪⪝","expression":"(⪎⋱⫍36B6⊘)↬(⪎⋱⫍3C1C⋝⋈⪟⪎⋱⫍2995)⪄((⨞⊢⪎⋱⫍82A)≋⫹)↪⪝","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":823,"operation_count":7,"complexity_ratio":117.57142857142857,"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":7754,"base":13}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":8644,"base":13},"right_expr":{"type":"numeric_atoms","value":6037,"base":13}}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":1388,"base":13}}}}},"used_operators":["l07mrZUIn9","SUmda5xLS4","B5M0gjZbta","gu96TGCTMs","2DDjHMKMc0","N41Kp7NANJ","xUOZtlo3hN"],"dependent_operators":["9HNa5Wba9A","2DDjHMKMc0","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rGHVDoGpnC","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"-Inf","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=7754","layer":4},{"info":"compute unary expreesion, input=7754, 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=8644","layer":4},{"info":"number node, value=6037","layer":4},{"info":"compute binary expreesion, left_input=8644, right_input=6037, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=8644","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=8644, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=8644","layer":2},{"info":"number node, value=1388","layer":4},{"info":"compute unary expreesion, input=1388, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1562","layer":3},{"info":"compute unary expreesion, input=-1562, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=3124","layer":2},{"info":"compute binary expreesion, left_input=8644, right_input=3124, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-1287897","layer":1},{"info":"compute unary expreesion, input=-1287897, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=-inf","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍36B6⊘)↬(⪎⋱⫍3C1C⋝⋈⪟⪎⋱⫍2995)⪄((⨞⊢⪎⋱⫍82A)≋⫹)↪⪝=-Inf","reverse_text":"-Inf=(⪎⋱⫍36B6⊘)↬(⪎⋱⫍3C1C⋝⋈⪟⪎⋱⫍2995)⪄((⨞⊢⪎⋱⫍82A)≋⫹)↪⪝","cot":[{"info":"⪎⋱⫍36B6⊘=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍3C1C⋝⋈⪟⪎⋱⫍2995=⪎⋱⫍3C1C","layer":3},{"info":"⪎⋱⫍0↬⪎⋱⫍3C1C=⪎⋱⫍3C1C","layer":2},{"info":"⨞⊢⪎⋱⫍82A=⪎⋱⫍-932","layer":3},{"info":"⪎⋱⫍-932≋⫹=⪎⋱⫍1564","layer":2},{"info":"⪎⋱⫍3C1C⪄⪎⋱⫍1564=⪎⋱⫍-361290","layer":1},{"info":"⪎⋱⫍-361290↪⪝=-Inf","layer":0}]}
{"id":79,"expression_no_base_symbol":"(($1518$⨳⩥⨓$1829$/$1220$↺$3554$)⨸⪁(↽≂$2366$≹⇙⪍$3635$))⋳⪒($4873$⋳⪒$3169$⪒(⪲⇎$1010$)⨵⪆(⨵≀≌$2676$⪛$9133$))","expression":"((⪎⋱⫍8CA⨳⩥⨓⪎⋱⫍AA9/⪎⋱⫍72B↺⪎⋱⫍1805)⨸⪁(↽≂⪎⋱⫍1100≹⇙⪍⪎⋱⫍1868))⋳⪒(⪎⋱⫍22AB⋳⪒⪎⋱⫍159A⪒(⪲⇎⪎⋱⫍5C9)⨵⪆(⨵≀≌⪎⋱⫍12AB⪛⪎⋱⫍4207))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":40,"operation_count":13,"complexity_ratio":3.076923076923077,"tree":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1518,"base":13},"right_expr":{"type":"numeric_atoms","value":1829,"base":13}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1220,"base":13},"right_expr":{"type":"numeric_atoms","value":3554,"base":13}}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2366,"base":13},"right_expr":{"type":"numeric_atoms","value":3635,"base":13}}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":4873,"base":13},"right_expr":{"type":"numeric_atoms","value":3169,"base":13}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1010,"base":13}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2676,"base":13},"right_expr":{"type":"numeric_atoms","value":9133,"base":13}}}}},"used_operators":["12rbrZMWeM","g55IO6H4Gj","XhwjNDsVaA","nCS4ZIUYfx","7j4O788W3g","u6S6b8DprG","AHs5Up7iyr","2DQ55sFlQl","f6k1SAg4EE","XPYlsWDdGa","srAu1WTS94","uFcxV4UQCh"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1518","layer":4},{"info":"number node, value=1829","layer":4},{"info":"compute binary expreesion, left_input=1518, right_input=1829, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=311","layer":3},{"info":"number node, value=1220","layer":4},{"info":"number node, value=3554","layer":4},{"info":"compute binary expreesion, left_input=1220, right_input=3554, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3554","layer":3},{"info":"compute binary expreesion, left_input=311, right_input=3554, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":2},{"info":"number node, value=2366","layer":4},{"info":"number node, value=3635","layer":4},{"info":"compute binary expreesion, left_input=2366, right_input=3635, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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":"compute binary expreesion, left_input=0, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":1},{"info":"number node, value=4873","layer":4},{"info":"number node, value=3169","layer":4},{"info":"compute binary expreesion, left_input=4873, right_input=3169, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=6290","layer":3},{"info":"number node, value=1010","layer":4},{"info":"compute unary expreesion, input=1010, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=2020","layer":3},{"info":"compute binary expreesion, left_input=6290, right_input=2020, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-8310","layer":2},{"info":"number node, value=2676","layer":4},{"info":"number node, value=9133","layer":4},{"info":"compute binary expreesion, left_input=2676, right_input=9133, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2676","layer":3},{"info":"compute unary expreesion, input=2676, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-8028","layer":2},{"info":"compute binary expreesion, left_input=-8310, right_input=-8028, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍8CA⨳⩥⨓⪎⋱⫍AA9/⪎⋱⫍72B↺⪎⋱⫍1805)⨸⪁(↽≂⪎⋱⫍1100≹⇙⪍⪎⋱⫍1868))⋳⪒(⪎⋱⫍22AB⋳⪒⪎⋱⫍159A⪒(⪲⇎⪎⋱⫍5C9)⨵⪆(⨵≀≌⪎⋱⫍12AB⪛⪎⋱⫍4207))=NaN","reverse_text":"NaN=((⪎⋱⫍8CA⨳⩥⨓⪎⋱⫍AA9/⪎⋱⫍72B↺⪎⋱⫍1805)⨸⪁(↽≂⪎⋱⫍1100≹⇙⪍⪎⋱⫍1868))⋳⪒(⪎⋱⫍22AB⋳⪒⪎⋱⫍159A⪒(⪲⇎⪎⋱⫍5C9)⨵⪆(⨵≀≌⪎⋱⫍12AB⪛⪎⋱⫍4207))","cot":[{"info":"⪎⋱⫍8CA⨳⩥⨓⪎⋱⫍AA9=⪎⋱⫍1AC","layer":3},{"info":"⪎⋱⫍72B↺⪎⋱⫍1805=⪎⋱⫍1805","layer":3},{"info":"⪎⋱⫍1AC/⪎⋱⫍1805=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍1100≹⇙⪍⪎⋱⫍1868=NaN","layer":3},{"info":"↽≂NaN=NaN","layer":2},{"info":"⪎⋱⫍0⨸⪁NaN=NaN","layer":1},{"info":"⪎⋱⫍22AB⋳⪒⪎⋱⫍159A=⪎⋱⫍2B2B","layer":3},{"info":"⪲⇎⪎⋱⫍5C9=⪎⋱⫍BC5","layer":3},{"info":"⪎⋱⫍2B2B⪒⪎⋱⫍BC5=⪎⋱⫍-3A23","layer":2},{"info":"⪎⋱⫍12AB⪛⪎⋱⫍4207=⪎⋱⫍12AB","layer":3},{"info":"⨵≀≌⪎⋱⫍12AB=⪎⋱⫍-3867","layer":2},{"info":"⪎⋱⫍-3A23⨵⪆⪎⋱⫍-3867=⪎⋱⫍C4","layer":1},{"info":"NaN⋳⪒⪎⋱⫍C4=NaN","layer":0}]}
{"id":80,"expression_no_base_symbol":"$3633$≹⇙⪍$3500$⊴($1349$+$6182$)≎⊠⪸($1859$⫡⨏$1006$⋷(≦∁$4682$))⨸⪁((∂$6608$⪮%⊝$2564$)⇼⇔∾(⊥($5305$∸)))","expression":"⪎⋱⫍1866≹⇙⪍⪎⋱⫍1793⊴(⪎⋱⫍7CA+⪎⋱⫍2A77)≎⊠⪸(⪎⋱⫍B00⫡⨏⪎⋱⫍5C5⋷(≦∁⪎⋱⫍2192))⨸⪁((∂⪎⋱⫍3014⪮%⊝⪎⋱⫍1223)⇼⇔∾(⊥(⪎⋱⫍2551∸)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":40144,"operation_count":13,"complexity_ratio":3088.0,"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":3633,"base":13},"right_expr":{"type":"numeric_atoms","value":3500,"base":13}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1349,"base":13},"right_expr":{"type":"numeric_atoms","value":6182,"base":13}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1859,"base":13},"right_expr":{"type":"numeric_atoms","value":1006,"base":13}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":4682,"base":13}}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":6608,"base":13},"right_expr":{"type":"numeric_atoms","value":2564,"base":13}}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":5305,"base":13}}}}},"used_operators":["g55IO6H4Gj","bJkvcejdHO","Nsiff2A1zJ","AHs5Up7iyr","W4YGzv6Whe","23Mk6UjR3U","QMFrweE19q","9ICcGScMcE","tifHPKVTfV","Uaa54Peajs","IWmyXbctLI","Q3PJZHRvZv","o20kRiQErp"],"dependent_operators":["W4YGzv6Whe","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","dWAJyo7jo9","14qkJME0vr","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","fu6greOZ01","tmPS8pqC7x"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3633","layer":4},{"info":"number node, value=3500","layer":4},{"info":"compute binary expreesion, left_input=3633, right_input=3500, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=1349","layer":4},{"info":"number node, value=6182","layer":4},{"info":"compute binary expreesion, left_input=1349, right_input=6182, op_id = W4YGzv6Whe binary_op_definition= 'None', output=7531","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=7531, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=1859","layer":4},{"info":"number node, value=1006","layer":4},{"info":"compute binary expreesion, left_input=1859, right_input=1006, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=12090","layer":3},{"info":"number node, value=4682","layer":4},{"info":"compute unary expreesion, input=4682, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=4682","layer":3},{"info":"compute binary expreesion, left_input=12090, right_input=4682, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-2726","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-2726, 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=6608","layer":4},{"info":"number node, value=2564","layer":4},{"info":"compute binary expreesion, left_input=6608, right_input=2564, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=13532","layer":3},{"info":"compute unary expreesion, input=13532, 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=5305","layer":4},{"info":"compute unary expreesion, input=5305, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"compute unary expreesion, input=177, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=-180","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-180, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍1866≹⇙⪍⪎⋱⫍1793⊴(⪎⋱⫍7CA+⪎⋱⫍2A77)≎⊠⪸(⪎⋱⫍B00⫡⨏⪎⋱⫍5C5⋷(≦∁⪎⋱⫍2192))⨸⪁((∂⪎⋱⫍3014⪮%⊝⪎⋱⫍1223)⇼⇔∾(⊥(⪎⋱⫍2551∸)))=NaN","reverse_text":"NaN=⪎⋱⫍1866≹⇙⪍⪎⋱⫍1793⊴(⪎⋱⫍7CA+⪎⋱⫍2A77)≎⊠⪸(⪎⋱⫍B00⫡⨏⪎⋱⫍5C5⋷(≦∁⪎⋱⫍2192))⨸⪁((∂⪎⋱⫍3014⪮%⊝⪎⋱⫍1223)⇼⇔∾(⊥(⪎⋱⫍2551∸)))","cot":[{"info":"⪎⋱⫍1866≹⇙⪍⪎⋱⫍1793=NaN","layer":3},{"info":"⪎⋱⫍7CA+⪎⋱⫍2A77=⪎⋱⫍3574","layer":3},{"info":"NaN⊴⪎⋱⫍3574=NaN","layer":2},{"info":"⪎⋱⫍B00⫡⨏⪎⋱⫍5C5=⪎⋱⫍5670","layer":3},{"info":"≦∁⪎⋱⫍2192=⪎⋱⫍2192","layer":3},{"info":"⪎⋱⫍5670⋷⪎⋱⫍2192=⪎⋱⫍-1319","layer":2},{"info":"NaN≎⊠⪸⪎⋱⫍-1319=⪎⋱⫍52","layer":1},{"info":"⪎⋱⫍3014⪮%⊝⪎⋱⫍1223=⪎⋱⫍620C","layer":3},{"info":"∂⪎⋱⫍620C=NaN","layer":2},{"info":"⪎⋱⫍2551∸=⪎⋱⫍108","layer":3},{"info":"⊥⪎⋱⫍108=⪎⋱⫍-10B","layer":2},{"info":"NaN⇼⇔∾⪎⋱⫍-10B=NaN","layer":1},{"info":"⪎⋱⫍52⨸⪁NaN=NaN","layer":0}]}
{"id":81,"expression_no_base_symbol":"(($2920$⪨≂$2023$)≧⫂∧($2616$↺$4220$)⫡⨏($1981$⨎$2238$⨵⪆$1861$⨟⋌⩍$2427$))⊭↱((⪝⪂⫅$2341$)⊭↱($2621$↛⩡⫤)⇼⇔∾(↩$1407$)⋥≓≎($2027$⇼⇔∾$1042$))","expression":"((⪎⋱⫍1438⪨≂⪎⋱⫍BC8)≧⫂∧(⪎⋱⫍1263↺⪎⋱⫍1BC8)⫡⨏(⪎⋱⫍B95⨎⪎⋱⫍1032⨵⪆⪎⋱⫍B02⨟⋌⩍⪎⋱⫍1149))⊭↱((⪝⪂⫅⪎⋱⫍10B1)⊭↱(⪎⋱⫍1268↛⩡⫤)⇼⇔∾(↩⪎⋱⫍843)⋥≓≎(⪎⋱⫍BCC⇼⇔∾⪎⋱⫍622))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":8199,"operation_count":15,"complexity_ratio":546.6,"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":2920,"base":13},"right_expr":{"type":"numeric_atoms","value":2023,"base":13}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2616,"base":13},"right_expr":{"type":"numeric_atoms","value":4220,"base":13}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1981,"base":13},"right_expr":{"type":"numeric_atoms","value":2238,"base":13}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1861,"base":13},"right_expr":{"type":"numeric_atoms","value":2427,"base":13}}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":2341,"base":13}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":2621,"base":13}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":1407,"base":13}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2027,"base":13},"right_expr":{"type":"numeric_atoms","value":1042,"base":13}}}}},"used_operators":["COABgblf1C","QMFrweE19q","Ph9nP6C5qx","sdazOOVcIp","7j4O788W3g","2DQ55sFlQl","rJVOvQCfKK","rGHVDoGpnC","tifHPKVTfV","XTarYq4gQB","FU0Cs4j7VP","Qy55tPpLXF","jLgFTUHLKL"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D"],"result":"⪎⋱⫍53BA0","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2920","layer":4},{"info":"number node, value=2023","layer":4},{"info":"compute binary expreesion, left_input=2920, right_input=2023, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=1896","layer":3},{"info":"number node, value=2616","layer":4},{"info":"number node, value=4220","layer":4},{"info":"compute binary expreesion, left_input=2616, right_input=4220, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=4220","layer":3},{"info":"compute binary expreesion, left_input=1896, right_input=4220, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=3747","layer":2},{"info":"number node, value=1981","layer":4},{"info":"number node, value=2238","layer":4},{"info":"compute binary expreesion, left_input=1981, right_input=2238, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2238","layer":3},{"info":"number node, value=1861","layer":4},{"info":"number node, value=2427","layer":4},{"info":"compute binary expreesion, left_input=1861, right_input=2427, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=2238, 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=3747, right_input=160, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=19838","layer":1},{"info":"number node, value=2341","layer":4},{"info":"compute unary expreesion, input=2341, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-344127","layer":3},{"info":"number node, value=2621","layer":4},{"info":"compute unary expreesion, input=2621, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-391860","layer":3},{"info":"compute binary expreesion, left_input=-344127, right_input=-391860, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-95461","layer":2},{"info":"number node, value=1407","layer":4},{"info":"compute unary expreesion, input=1407, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-8476","layer":3},{"info":"number node, value=2027","layer":4},{"info":"number node, value=1042","layer":4},{"info":"compute binary expreesion, left_input=2027, right_input=1042, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-985","layer":3},{"info":"compute binary expreesion, left_input=-8476, right_input=-985, 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=-95461, right_input=67, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=95528","layer":1},{"info":"compute binary expreesion, left_input=19838, right_input=95528, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=151385","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍1438⪨≂⪎⋱⫍BC8)≧⫂∧(⪎⋱⫍1263↺⪎⋱⫍1BC8)⫡⨏(⪎⋱⫍B95⨎⪎⋱⫍1032⨵⪆⪎⋱⫍B02⨟⋌⩍⪎⋱⫍1149))⊭↱((⪝⪂⫅⪎⋱⫍10B1)⊭↱(⪎⋱⫍1268↛⩡⫤)⇼⇔∾(↩⪎⋱⫍843)⋥≓≎(⪎⋱⫍BCC⇼⇔∾⪎⋱⫍622))=⪎⋱⫍53BA0","reverse_text":"⪎⋱⫍53BA0=((⪎⋱⫍1438⪨≂⪎⋱⫍BC8)≧⫂∧(⪎⋱⫍1263↺⪎⋱⫍1BC8)⫡⨏(⪎⋱⫍B95⨎⪎⋱⫍1032⨵⪆⪎⋱⫍B02⨟⋌⩍⪎⋱⫍1149))⊭↱((⪝⪂⫅⪎⋱⫍10B1)⊭↱(⪎⋱⫍1268↛⩡⫤)⇼⇔∾(↩⪎⋱⫍843)⋥≓≎(⪎⋱⫍BCC⇼⇔∾⪎⋱⫍622))","cot":[{"info":"⪎⋱⫍1438⪨≂⪎⋱⫍BC8=⪎⋱⫍B2B","layer":3},{"info":"⪎⋱⫍1263↺⪎⋱⫍1BC8=⪎⋱⫍1BC8","layer":3},{"info":"⪎⋱⫍B2B≧⫂∧⪎⋱⫍1BC8=⪎⋱⫍1923","layer":2},{"info":"⪎⋱⫍B95⨎⪎⋱⫍1032=⪎⋱⫍1032","layer":3},{"info":"⪎⋱⫍B02⨟⋌⩍⪎⋱⫍1149=NaN","layer":3},{"info":"⪎⋱⫍1032⨵⪆NaN=⪎⋱⫍C4","layer":2},{"info":"⪎⋱⫍1923⫡⨏⪎⋱⫍C4=⪎⋱⫍9050","layer":1},{"info":"⪝⪂⫅⪎⋱⫍10B1=⪎⋱⫍-C0834","layer":3},{"info":"⪎⋱⫍1268↛⩡⫤=⪎⋱⫍-109491","layer":3},{"info":"⪎⋱⫍-C0834⊭↱⪎⋱⫍-109491=⪎⋱⫍-345B2","layer":2},{"info":"↩⪎⋱⫍843=⪎⋱⫍-3B20","layer":3},{"info":"⪎⋱⫍BCC⇼⇔∾⪎⋱⫍622=⪎⋱⫍-5AA","layer":3},{"info":"⪎⋱⫍-3B20⋥≓≎⪎⋱⫍-5AA=⪎⋱⫍52","layer":2},{"info":"⪎⋱⫍-345B2⇼⇔∾⪎⋱⫍52=⪎⋱⫍34634","layer":1},{"info":"⪎⋱⫍9050⊭↱⪎⋱⫍34634=⪎⋱⫍53BA0","layer":0}]}
{"id":82,"expression_no_base_symbol":"↔(($2618$⊭↱$1374$⊭↱($2419$⩤))≎⊠⪸(($2093$⊘)⋥≓≎($1192$⊭↱$4177$)))","expression":"↔((⪎⋱⫍1265⊭↱⪎⋱⫍819⊭↱(⪎⋱⫍1141⩤))≎⊠⪸((⪎⋱⫍C50⊘)⋥≓≎(⪎⋱⫍709⊭↱⪎⋱⫍1B94)))","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":193,"operation_count":8,"complexity_ratio":24.125,"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":2618,"base":13},"right_expr":{"type":"numeric_atoms","value":1374,"base":13}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":2419,"base":13}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":2093,"base":13}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1192,"base":13},"right_expr":{"type":"numeric_atoms","value":4177,"base":13}}}}},"used_operators":["ruOEQAzv1W","bJkvcejdHO","COABgblf1C","Z2TMIBDE3Q","Qy55tPpLXF","gu96TGCTMs"],"dependent_operators":["XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D"],"result":"⪎⋱⫍-12455","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2618","layer":4},{"info":"number node, value=1374","layer":4},{"info":"compute binary expreesion, left_input=2618, right_input=1374, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-2483","layer":3},{"info":"number node, value=2419","layer":4},{"info":"compute unary expreesion, input=2419, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-2419","layer":3},{"info":"compute binary expreesion, left_input=-2483, right_input=-2419, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=133","layer":2},{"info":"number node, value=2093","layer":4},{"info":"compute unary expreesion, input=2093, 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=1192","layer":4},{"info":"number node, value=4177","layer":4},{"info":"compute binary expreesion, left_input=1192, right_input=4177, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=5975","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=5975, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=11983","layer":2},{"info":"compute binary expreesion, left_input=133, right_input=11983, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=33974","layer":1},{"info":"compute unary expreesion, input=33974, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-33701","layer":0}],"base":13,"result_base":13,"text":"↔((⪎⋱⫍1265⊭↱⪎⋱⫍819⊭↱(⪎⋱⫍1141⩤))≎⊠⪸((⪎⋱⫍C50⊘)⋥≓≎(⪎⋱⫍709⊭↱⪎⋱⫍1B94)))=⪎⋱⫍-12455","reverse_text":"⪎⋱⫍-12455=↔((⪎⋱⫍1265⊭↱⪎⋱⫍819⊭↱(⪎⋱⫍1141⩤))≎⊠⪸((⪎⋱⫍C50⊘)⋥≓≎(⪎⋱⫍709⊭↱⪎⋱⫍1B94)))","cot":[{"info":"⪎⋱⫍1265⊭↱⪎⋱⫍819=⪎⋱⫍-1190","layer":3},{"info":"⪎⋱⫍1141⩤=⪎⋱⫍-1141","layer":3},{"info":"⪎⋱⫍-1190⊭↱⪎⋱⫍-1141=⪎⋱⫍A3","layer":2},{"info":"⪎⋱⫍C50⊘=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍709⊭↱⪎⋱⫍1B94=⪎⋱⫍2948","layer":3},{"info":"⪎⋱⫍0⋥≓≎⪎⋱⫍2948=⪎⋱⫍55BA","layer":2},{"info":"⪎⋱⫍A3≎⊠⪸⪎⋱⫍55BA=⪎⋱⫍12605","layer":1},{"info":"↔⪎⋱⫍12605=⪎⋱⫍-12455","layer":0}]}
{"id":83,"expression_no_base_symbol":"($4288$∼$4587$+⇶⊼($5695$+⇶⊼$3169$)+⇶⊼($3624$⋥≓≎$5672$⊠≄⫣))⊴(($1388$⊘)⋓($1357$↺$2143$)↙($7199$⩷∴$4824$)⨪↰⇹($2679$-$1879$))","expression":"(⪎⋱⫍1C4B∼⪎⋱⫍211B+⇶⊼(⪎⋱⫍2791+⇶⊼⪎⋱⫍159A)+⇶⊼(⪎⋱⫍185A⋥≓≎⪎⋱⫍2774⊠≄⫣))⊴((⪎⋱⫍82A⊘)⋓(⪎⋱⫍805↺⪎⋱⫍C8B)↙(⪎⋱⫍337A⩷∴⪎⋱⫍2271)⨪↰⇹(⪎⋱⫍12B1-⪎⋱⫍B17))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":4863,"operation_count":14,"complexity_ratio":347.35714285714283,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":4288,"base":13},"right_expr":{"type":"numeric_atoms","value":4587,"base":13}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":5695,"base":13},"right_expr":{"type":"numeric_atoms","value":3169,"base":13}}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":3624,"base":13},"right_expr":{"type":"numeric_atoms","value":5672,"base":13}}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":1388,"base":13}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1357,"base":13},"right_expr":{"type":"numeric_atoms","value":2143,"base":13}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":7199,"base":13},"right_expr":{"type":"numeric_atoms","value":4824,"base":13}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2679,"base":13},"right_expr":{"type":"numeric_atoms","value":1879,"base":13}}}}},"used_operators":["Nsiff2A1zJ","TpPTUOHfaN","DyGG3AbaNP","DIvbN7qnHd","Qy55tPpLXF","yyfyN0ffXY","T2fj7uvVaJ","gu96TGCTMs","7j4O788W3g","tmPS8pqC7x","9FxExcQeMw","rysDP5nf3Z"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","AHs5Up7iyr","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","rysDP5nf3Z"],"result":"⪎⋱⫍-61","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4288","layer":4},{"info":"number node, value=4587","layer":4},{"info":"compute binary expreesion, left_input=4288, right_input=4587, 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=5695","layer":4},{"info":"number node, value=3169","layer":4},{"info":"compute binary expreesion, left_input=5695, right_input=3169, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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 = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=3624","layer":4},{"info":"number node, value=5672","layer":4},{"info":"compute binary expreesion, left_input=3624, right_input=5672, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=7753","layer":3},{"info":"compute unary expreesion, input=7753, 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 = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(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":"number node, value=1388","layer":4},{"info":"compute unary expreesion, input=1388, 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=1357","layer":4},{"info":"number node, value=2143","layer":4},{"info":"compute binary expreesion, left_input=1357, right_input=2143, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2143","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2143, op_id = T2fj7uvVaJ binary_op_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=7199","layer":4},{"info":"number node, value=4824","layer":4},{"info":"compute binary expreesion, left_input=7199, right_input=4824, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=4718","layer":3},{"info":"number node, value=2679","layer":4},{"info":"number node, value=1879","layer":4},{"info":"compute binary expreesion, left_input=2679, right_input=1879, op_id = rysDP5nf3Z binary_op_definition= 'None', output=800","layer":3},{"info":"compute binary expreesion, left_input=4718, right_input=800, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=4718","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=4718, 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=0, right_input=0, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=-79","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍1C4B∼⪎⋱⫍211B+⇶⊼(⪎⋱⫍2791+⇶⊼⪎⋱⫍159A)+⇶⊼(⪎⋱⫍185A⋥≓≎⪎⋱⫍2774⊠≄⫣))⊴((⪎⋱⫍82A⊘)⋓(⪎⋱⫍805↺⪎⋱⫍C8B)↙(⪎⋱⫍337A⩷∴⪎⋱⫍2271)⨪↰⇹(⪎⋱⫍12B1-⪎⋱⫍B17))=⪎⋱⫍-61","reverse_text":"⪎⋱⫍-61=(⪎⋱⫍1C4B∼⪎⋱⫍211B+⇶⊼(⪎⋱⫍2791+⇶⊼⪎⋱⫍159A)+⇶⊼(⪎⋱⫍185A⋥≓≎⪎⋱⫍2774⊠≄⫣))⊴((⪎⋱⫍82A⊘)⋓(⪎⋱⫍805↺⪎⋱⫍C8B)↙(⪎⋱⫍337A⩷∴⪎⋱⫍2271)⨪↰⇹(⪎⋱⫍12B1-⪎⋱⫍B17))","cot":[{"info":"⪎⋱⫍1C4B∼⪎⋱⫍211B=NaN","layer":3},{"info":"⪎⋱⫍2791+⇶⊼⪎⋱⫍159A=NaN","layer":3},{"info":"NaN+⇶⊼NaN=NaN","layer":2},{"info":"⪎⋱⫍185A⋥≓≎⪎⋱⫍2774=⪎⋱⫍36B5","layer":3},{"info":"⪎⋱⫍36B5⊠≄⫣=⪎⋱⫍0","layer":2},{"info":"NaN+⇶⊼⪎⋱⫍0=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍82A⊘=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍805↺⪎⋱⫍C8B=⪎⋱⫍C8B","layer":3},{"info":"⪎⋱⫍0⋓⪎⋱⫍C8B=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍337A⩷∴⪎⋱⫍2271=⪎⋱⫍21BC","layer":3},{"info":"⪎⋱⫍12B1-⪎⋱⫍B17=⪎⋱⫍497","layer":3},{"info":"⪎⋱⫍21BC⨪↰⇹⪎⋱⫍497=⪎⋱⫍21BC","layer":2},{"info":"⪎⋱⫍0↙⪎⋱⫍21BC=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍0⊴⪎⋱⫍0=⪎⋱⫍-61","layer":0}]}
{"id":84,"expression_no_base_symbol":"(≦∁$2861$)+⇶⊼$3903$⩷∴$3530$⇼⇔∾($4617$⨳⩥⨓$2705$)+⇶⊼($2781$⩠)⪨≂(⨰⫟⨤($7650$⨳⩥⨓$4186$⪄(⨵≀≌$3702$)))","expression":"(≦∁⪎⋱⫍13C1)+⇶⊼⪎⋱⫍1A13⩷∴⪎⋱⫍17B7⇼⇔∾(⪎⋱⫍2142⨳⩥⨓⪎⋱⫍1301)+⇶⊼(⪎⋱⫍135C⩠)⪨≂(⨰⫟⨤(⪎⋱⫍3636⨳⩥⨓⪎⋱⫍1BA0⪄(⨵≀≌⪎⋱⫍18BA)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":15211,"operation_count":12,"complexity_ratio":1267.5833333333333,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":2861,"base":13}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":3903,"base":13},"right_expr":{"type":"numeric_atoms","value":3530,"base":13}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":4617,"base":13},"right_expr":{"type":"numeric_atoms","value":2705,"base":13}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":2781,"base":13}}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":7650,"base":13},"right_expr":{"type":"numeric_atoms","value":4186,"base":13}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":3702,"base":13}}}}},"used_operators":["sdazOOVcIp","tifHPKVTfV","TpPTUOHfaN","9ICcGScMcE","9FxExcQeMw","nCS4ZIUYfx","sJAwomhLZr","Tw270M8GLb","SUmda5xLS4","srAu1WTS94"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2861","layer":4},{"info":"compute unary expreesion, input=2861, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=2861","layer":3},{"info":"number node, value=3903","layer":4},{"info":"number node, value=3530","layer":4},{"info":"compute binary expreesion, left_input=3903, right_input=3530, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=714","layer":3},{"info":"compute binary expreesion, left_input=2861, right_input=714, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=4617","layer":4},{"info":"number node, value=2705","layer":4},{"info":"compute binary expreesion, left_input=4617, right_input=2705, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-1912","layer":3},{"info":"number node, value=2781","layer":4},{"info":"compute unary expreesion, input=2781, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-1912, 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 = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":1},{"info":"number node, value=7650","layer":4},{"info":"number node, value=4186","layer":4},{"info":"compute binary expreesion, left_input=7650, right_input=4186, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-3464","layer":3},{"info":"number node, value=3702","layer":4},{"info":"compute unary expreesion, input=3702, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-11106","layer":3},{"info":"compute binary expreesion, left_input=-3464, right_input=-11106, 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 = 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 = 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":13,"result_base":13,"text":"(≦∁⪎⋱⫍13C1)+⇶⊼⪎⋱⫍1A13⩷∴⪎⋱⫍17B7⇼⇔∾(⪎⋱⫍2142⨳⩥⨓⪎⋱⫍1301)+⇶⊼(⪎⋱⫍135C⩠)⪨≂(⨰⫟⨤(⪎⋱⫍3636⨳⩥⨓⪎⋱⫍1BA0⪄(⨵≀≌⪎⋱⫍18BA)))=NaN","reverse_text":"NaN=(≦∁⪎⋱⫍13C1)+⇶⊼⪎⋱⫍1A13⩷∴⪎⋱⫍17B7⇼⇔∾(⪎⋱⫍2142⨳⩥⨓⪎⋱⫍1301)+⇶⊼(⪎⋱⫍135C⩠)⪨≂(⨰⫟⨤(⪎⋱⫍3636⨳⩥⨓⪎⋱⫍1BA0⪄(⨵≀≌⪎⋱⫍18BA)))","cot":[{"info":"≦∁⪎⋱⫍13C1=⪎⋱⫍13C1","layer":3},{"info":"⪎⋱⫍1A13⩷∴⪎⋱⫍17B7=⪎⋱⫍42C","layer":3},{"info":"⪎⋱⫍13C1+⇶⊼⪎⋱⫍42C=NaN","layer":2},{"info":"⪎⋱⫍2142⨳⩥⨓⪎⋱⫍1301=⪎⋱⫍-B41","layer":3},{"info":"⪎⋱⫍135C⩠=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍-B41+⇶⊼⪎⋱⫍0=⪎⋱⫍0","layer":2},{"info":"NaN⇼⇔∾⪎⋱⫍0=NaN","layer":1},{"info":"⪎⋱⫍3636⨳⩥⨓⪎⋱⫍1BA0=⪎⋱⫍-1766","layer":3},{"info":"⨵≀≌⪎⋱⫍18BA=⪎⋱⫍-5094","layer":3},{"info":"⪎⋱⫍-1766⪄⪎⋱⫍-5094=⪎⋱⫍1A71","layer":2},{"info":"⨰⫟⨤⪎⋱⫍1A71=NaN","layer":1},{"info":"NaN⪨≂NaN=NaN","layer":0}]}
{"id":85,"expression_no_base_symbol":"(⫛⫱⨽(↥(⨵≀≌$1047$)))⨽($1130$⋷$4796$)⋓$2797$↬$4291$≭$1345$⋝⋈⪟$2475$⩷∴($4470$⪒$2110$)","expression":"(⫛⫱⨽(↥(⨵≀≌⪎⋱⫍627)))⨽(⪎⋱⫍68C⋷⪎⋱⫍224C)⋓⪎⋱⫍1372↬⪎⋱⫍1C51≭⪎⋱⫍7C6⋝⋈⪟⪎⋱⫍1185⩷∴(⪎⋱⫍205B⪒⪎⋱⫍C64)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1036,"operation_count":11,"complexity_ratio":94.18181818181819,"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":1047,"base":13}}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1130,"base":13},"right_expr":{"type":"numeric_atoms","value":4796,"base":13}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2797,"base":13},"right_expr":{"type":"numeric_atoms","value":4291,"base":13}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1345,"base":13},"right_expr":{"type":"numeric_atoms","value":2475,"base":13}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":4470,"base":13},"right_expr":{"type":"numeric_atoms","value":2110,"base":13}}}}},"used_operators":["8HhzD0ZcuI","DlLNRPXxWL","A8NUZmVepG","srAu1WTS94","rxpJgHHUmx","T2fj7uvVaJ","23Mk6UjR3U","B5M0gjZbta","9FxExcQeMw","2DDjHMKMc0","f6k1SAg4EE"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rGHVDoGpnC","k8jYdgA6NY","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","AHs5Up7iyr","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1047","layer":4},{"info":"compute unary expreesion, input=1047, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-3141","layer":3},{"info":"compute unary expreesion, input=-3141, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=21","layer":2},{"info":"compute unary expreesion, input=21, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":1},{"info":"number node, value=1130","layer":4},{"info":"number node, value=4796","layer":4},{"info":"compute binary expreesion, left_input=1130, right_input=4796, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=8462","layer":3},{"info":"number node, value=2797","layer":4},{"info":"number node, value=4291","layer":4},{"info":"compute binary expreesion, left_input=2797, right_input=4291, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=8462, 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=1345","layer":4},{"info":"number node, value=2475","layer":4},{"info":"compute binary expreesion, left_input=1345, right_input=2475, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1345","layer":3},{"info":"number node, value=4470","layer":4},{"info":"number node, value=2110","layer":4},{"info":"compute binary expreesion, left_input=4470, right_input=2110, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-6580","layer":3},{"info":"compute binary expreesion, left_input=1345, right_input=-6580, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=15818","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=15818, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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 = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⫛⫱⨽(↥(⨵≀≌⪎⋱⫍627)))⨽(⪎⋱⫍68C⋷⪎⋱⫍224C)⋓⪎⋱⫍1372↬⪎⋱⫍1C51≭⪎⋱⫍7C6⋝⋈⪟⪎⋱⫍1185⩷∴(⪎⋱⫍205B⪒⪎⋱⫍C64)=NaN","reverse_text":"NaN=(⫛⫱⨽(↥(⨵≀≌⪎⋱⫍627)))⨽(⪎⋱⫍68C⋷⪎⋱⫍224C)⋓⪎⋱⫍1372↬⪎⋱⫍1C51≭⪎⋱⫍7C6⋝⋈⪟⪎⋱⫍1185⩷∴(⪎⋱⫍205B⪒⪎⋱⫍C64)","cot":[{"info":"⨵≀≌⪎⋱⫍627=⪎⋱⫍-1578","layer":3},{"info":"↥⪎⋱⫍-1578=⪎⋱⫍18","layer":2},{"info":"⫛⫱⨽⪎⋱⫍18=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍68C⋷⪎⋱⫍224C=⪎⋱⫍3B0C","layer":3},{"info":"⪎⋱⫍1372↬⪎⋱⫍1C51=NaN","layer":3},{"info":"⪎⋱⫍3B0C⋓NaN=NaN","layer":2},{"info":"⪎⋱⫍7C6⋝⋈⪟⪎⋱⫍1185=⪎⋱⫍7C6","layer":3},{"info":"⪎⋱⫍205B⪒⪎⋱⫍C64=⪎⋱⫍-2CC2","layer":3},{"info":"⪎⋱⫍7C6⩷∴⪎⋱⫍-2CC2=⪎⋱⫍727A","layer":2},{"info":"NaN≭⪎⋱⫍727A=NaN","layer":1},{"info":"⪎⋱⫍0⨽NaN=NaN","layer":0}]}
{"id":86,"expression_no_base_symbol":"(($7597$⪄$1985$⇼⇔∾(⨑⩽⪐$1044$))⊘)⊪","expression":"((⪎⋱⫍35C5⪄⪎⋱⫍B99⇼⇔∾(⨑⩽⪐⪎⋱⫍624))⊘)⊪","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":133,"operation_count":5,"complexity_ratio":26.6,"tree":{"type":"unary","operator":"⊪","unary_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":7597,"base":13},"right_expr":{"type":"numeric_atoms","value":1985,"base":13}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":1044,"base":13}}}}},"used_operators":["zVYPLywUTj","gu96TGCTMs","tifHPKVTfV","SUmda5xLS4","AF7qkfDlqP"],"dependent_operators":["sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=7597","layer":4},{"info":"number node, value=1985","layer":4},{"info":"compute binary expreesion, left_input=7597, right_input=1985, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-1128385","layer":3},{"info":"number node, value=1044","layer":4},{"info":"compute unary expreesion, input=1044, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-771","layer":3},{"info":"compute binary expreesion, left_input=-1128385, right_input=-771, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1127614","layer":2},{"info":"compute unary expreesion, input=1127614, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = 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":13,"result_base":13,"text":"((⪎⋱⫍35C5⪄⪎⋱⫍B99⇼⇔∾(⨑⩽⪐⪎⋱⫍624))⊘)⊪=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=((⪎⋱⫍35C5⪄⪎⋱⫍B99⇼⇔∾(⨑⩽⪐⪎⋱⫍624))⊘)⊪","cot":[{"info":"⪎⋱⫍35C5⪄⪎⋱⫍B99=⪎⋱⫍-3067AB","layer":3},{"info":"⨑⩽⪐⪎⋱⫍624=⪎⋱⫍-474","layer":3},{"info":"⪎⋱⫍-3067AB⇼⇔∾⪎⋱⫍-474=⪎⋱⫍306337","layer":2},{"info":"⪎⋱⫍306337⊘=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍0⊪=⪎⋱⫍0","layer":0}]}
{"id":87,"expression_no_base_symbol":"≤/((⊙↵-$2649$)⇼⇔∾$7461$⨪↰⇹$1221$)⪮%⊝((-$1789$)⇋≉)","expression":"≤/((⊙↵-⪎⋱⫍128A)⇼⇔∾⪎⋱⫍351C⨪↰⇹⪎⋱⫍72C)⪮%⊝((-⪎⋱⫍A78)⇋≉)","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":10172,"operation_count":7,"complexity_ratio":1453.142857142857,"tree":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":2649,"base":13}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":7461,"base":13},"right_expr":{"type":"numeric_atoms","value":1221,"base":13}}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1789,"base":13}}}}},"used_operators":["eLAdDNolq6","IWmyXbctLI","tifHPKVTfV","oWn0xqSxBt","tmPS8pqC7x","XIabStNQrY","t8gj7n24qd"],"dependent_operators":["rysDP5nf3Z","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍-6941","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2649","layer":4},{"info":"compute unary expreesion, input=2649, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=7461","layer":4},{"info":"number node, value=1221","layer":4},{"info":"compute binary expreesion, left_input=7461, right_input=1221, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=7461","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=7461, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=7462","layer":2},{"info":"number node, value=1789","layer":4},{"info":"compute unary expreesion, input=1789, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1789","layer":3},{"info":"compute unary expreesion, input=-1789, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=-3676","layer":2},{"info":"compute binary expreesion, left_input=7462, right_input=-3676, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=15240","layer":1},{"info":"compute unary expreesion, input=15240, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-14756","layer":0}],"base":13,"result_base":13,"text":"≤/((⊙↵-⪎⋱⫍128A)⇼⇔∾⪎⋱⫍351C⨪↰⇹⪎⋱⫍72C)⪮%⊝((-⪎⋱⫍A78)⇋≉)=⪎⋱⫍-6941","reverse_text":"⪎⋱⫍-6941=≤/((⊙↵-⪎⋱⫍128A)⇼⇔∾⪎⋱⫍351C⨪↰⇹⪎⋱⫍72C)⪮%⊝((-⪎⋱⫍A78)⇋≉)","cot":[{"info":"⊙↵-⪎⋱⫍128A=⪎⋱⫍-1","layer":3},{"info":"⪎⋱⫍351C⨪↰⇹⪎⋱⫍72C=⪎⋱⫍351C","layer":3},{"info":"⪎⋱⫍-1⇼⇔∾⪎⋱⫍351C=⪎⋱⫍3520","layer":2},{"info":"-⪎⋱⫍A78=⪎⋱⫍-A78","layer":3},{"info":"⪎⋱⫍-A78⇋≉=⪎⋱⫍-189A","layer":2},{"info":"⪎⋱⫍3520⪮%⊝⪎⋱⫍-189A=⪎⋱⫍6C24","layer":1},{"info":"≤/⪎⋱⫍6C24=⪎⋱⫍-6941","layer":0}]}
{"id":88,"expression_no_base_symbol":"((⇁⨣⪵$1121$)⨰($3160$≫≃)⋷(-$2703$∲⫓$1603$))⪛($3369$∀⇚≩$1870$≫≃)⪢($2123$⋝⋈⪟$5285$⨎($1824$⫸⊐$1225$))","expression":"((⇁⨣⪵⪎⋱⫍683)⨰(⪎⋱⫍1591≫≃)⋷(-⪎⋱⫍12CC∲⫓⪎⋱⫍964))⪛(⪎⋱⫍16C2∀⇚≩⪎⋱⫍B0B≫≃)⪢(⪎⋱⫍C74⋝⋈⪟⪎⋱⫍2537⨎(⪎⋱⫍AA4⫸⊐⪎⋱⫍733))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":28416,"operation_count":13,"complexity_ratio":2185.846153846154,"tree":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1121,"base":13}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":3160,"base":13}}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2703,"base":13},"right_expr":{"type":"numeric_atoms","value":1603,"base":13}}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":3369,"base":13},"right_expr":{"type":"numeric_atoms","value":1870,"base":13}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2123,"base":13},"right_expr":{"type":"numeric_atoms","value":5285,"base":13}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1824,"base":13},"right_expr":{"type":"numeric_atoms","value":1225,"base":13}}}}},"used_operators":["uFcxV4UQCh","23Mk6UjR3U","eewbuw0ToL","inkyxCbjAn","X99M06cbEe","t8gj7n24qd","i8ToyICDmI","dWAJyo7jo9","LRNGc0VcxI","rJVOvQCfKK","2DDjHMKMc0","mqXw5SEYmG"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","X99M06cbEe","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1121","layer":4},{"info":"compute unary expreesion, input=1121, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=3160","layer":4},{"info":"compute unary expreesion, input=3160, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=7721","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=7721, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":2},{"info":"number node, value=2703","layer":4},{"info":"number node, value=1603","layer":4},{"info":"compute binary expreesion, left_input=2703, right_input=1603, 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 = t8gj7n24qd, unary_op_definition = 'None', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":1},{"info":"number node, value=3369","layer":4},{"info":"number node, value=1870","layer":4},{"info":"compute binary expreesion, left_input=3369, right_input=1870, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = 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=2123","layer":4},{"info":"number node, value=5285","layer":4},{"info":"compute binary expreesion, left_input=2123, right_input=5285, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2123","layer":3},{"info":"number node, value=1824","layer":4},{"info":"number node, value=1225","layer":4},{"info":"compute binary expreesion, left_input=1824, right_input=1225, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=4775","layer":3},{"info":"compute binary expreesion, left_input=2123, right_input=4775, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=4775","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=4775, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⇁⨣⪵⪎⋱⫍683)⨰(⪎⋱⫍1591≫≃)⋷(-⪎⋱⫍12CC∲⫓⪎⋱⫍964))⪛(⪎⋱⫍16C2∀⇚≩⪎⋱⫍B0B≫≃)⪢(⪎⋱⫍C74⋝⋈⪟⪎⋱⫍2537⨎(⪎⋱⫍AA4⫸⊐⪎⋱⫍733))=NaN","reverse_text":"NaN=((⇁⨣⪵⪎⋱⫍683)⨰(⪎⋱⫍1591≫≃)⋷(-⪎⋱⫍12CC∲⫓⪎⋱⫍964))⪛(⪎⋱⫍16C2∀⇚≩⪎⋱⫍B0B≫≃)⪢(⪎⋱⫍C74⋝⋈⪟⪎⋱⫍2537⨎(⪎⋱⫍AA4⫸⊐⪎⋱⫍733))","cot":[{"info":"⇁⨣⪵⪎⋱⫍683=NaN","layer":3},{"info":"⪎⋱⫍1591≫≃=⪎⋱⫍368C","layer":3},{"info":"NaN⨰⪎⋱⫍368C=NaN","layer":2},{"info":"⪎⋱⫍12CC∲⫓⪎⋱⫍964=⪎⋱⫍0","layer":3},{"info":"-⪎⋱⫍0=⪎⋱⫍0","layer":2},{"info":"NaN⋷⪎⋱⫍0=NaN","layer":1},{"info":"⪎⋱⫍16C2∀⇚≩⪎⋱⫍B0B=NaN","layer":3},{"info":"NaN≫≃=NaN","layer":2},{"info":"⪎⋱⫍C74⋝⋈⪟⪎⋱⫍2537=⪎⋱⫍C74","layer":3},{"info":"⪎⋱⫍AA4⫸⊐⪎⋱⫍733=⪎⋱⫍2234","layer":3},{"info":"⪎⋱⫍C74⨎⪎⋱⫍2234=⪎⋱⫍2234","layer":2},{"info":"NaN⪢⪎⋱⫍2234=NaN","layer":1},{"info":"NaN⪛NaN=NaN","layer":0}]}
{"id":89,"expression_no_base_symbol":"((⋗⩬⋾$1581$)⨓(≉$4797$)⋥≓≎($5417$⨐⩸⫘$4855$)⪘⫢$2852$⨟⋌⩍$6171$)⨽($3259$+⇶⊼$4257$⇼⇔∾($4474$⊭↱$2404$))⇷($1587$∲⫓$1024$)⪘⫢($2047$⩚⊴⇥$3571$)","expression":"((⋗⩬⋾⪎⋱⫍948)⨓(≉⪎⋱⫍2250)⋥≓≎(⪎⋱⫍2609⨐⩸⫘⪎⋱⫍2296)⪘⫢⪎⋱⫍13B5⨟⋌⩍⪎⋱⫍2A69)⨽(⪎⋱⫍1639+⇶⊼⪎⋱⫍1C26⇼⇔∾(⪎⋱⫍2062⊭↱⪎⋱⫍112C))⇷(⪎⋱⫍951∲⫓⪎⋱⫍60A)⪘⫢(⪎⋱⫍C16⩚⊴⇥⪎⋱⫍1819)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":5458,"operation_count":15,"complexity_ratio":363.8666666666667,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1581,"base":13}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":4797,"base":13}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":5417,"base":13},"right_expr":{"type":"numeric_atoms","value":4855,"base":13}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2852,"base":13},"right_expr":{"type":"numeric_atoms","value":6171,"base":13}}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":3259,"base":13},"right_expr":{"type":"numeric_atoms","value":4257,"base":13}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":4474,"base":13},"right_expr":{"type":"numeric_atoms","value":2404,"base":13}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1587,"base":13},"right_expr":{"type":"numeric_atoms","value":1024,"base":13}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2047,"base":13},"right_expr":{"type":"numeric_atoms","value":3571,"base":13}}}}},"used_operators":["8HhzD0ZcuI","Qy55tPpLXF","3ViojmjbAp","DpFCA1CohY","e1ybzncUwg","oacrs7FA3X","fu6greOZ01","rGHVDoGpnC","mp7IySMOzn","tifHPKVTfV","TpPTUOHfaN","COABgblf1C","i8ToyICDmI","NTOWxs364D"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","3ViojmjbAp","Tcnh7f0tEr","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"⪎⋱⫍-56B5","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1581","layer":4},{"info":"compute unary expreesion, input=1581, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-4743","layer":3},{"info":"number node, value=4797","layer":4},{"info":"compute unary expreesion, input=4797, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=5328","layer":3},{"info":"compute binary expreesion, left_input=-4743, right_input=5328, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-5331","layer":2},{"info":"number node, value=5417","layer":4},{"info":"number node, value=4855","layer":4},{"info":"compute binary expreesion, left_input=5417, right_input=4855, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=2852","layer":4},{"info":"number node, value=6171","layer":4},{"info":"compute binary expreesion, left_input=2852, right_input=6171, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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 = 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=-5331, right_input=nan, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":1},{"info":"number node, value=3259","layer":4},{"info":"number node, value=4257","layer":4},{"info":"compute binary expreesion, left_input=3259, right_input=4257, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=4474","layer":4},{"info":"number node, value=2404","layer":4},{"info":"compute binary expreesion, left_input=4474, right_input=2404, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-4135","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-4135, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":2},{"info":"number node, value=1587","layer":4},{"info":"number node, value=1024","layer":4},{"info":"compute binary expreesion, left_input=1587, right_input=1024, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=2047","layer":4},{"info":"number node, value=3571","layer":4},{"info":"compute binary expreesion, left_input=2047, right_input=3571, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-5739","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-5739, 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 = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=-2","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=-2, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-12147","layer":0}],"base":13,"result_base":13,"text":"((⋗⩬⋾⪎⋱⫍948)⨓(≉⪎⋱⫍2250)⋥≓≎(⪎⋱⫍2609⨐⩸⫘⪎⋱⫍2296)⪘⫢⪎⋱⫍13B5⨟⋌⩍⪎⋱⫍2A69)⨽(⪎⋱⫍1639+⇶⊼⪎⋱⫍1C26⇼⇔∾(⪎⋱⫍2062⊭↱⪎⋱⫍112C))⇷(⪎⋱⫍951∲⫓⪎⋱⫍60A)⪘⫢(⪎⋱⫍C16⩚⊴⇥⪎⋱⫍1819)=⪎⋱⫍-56B5","reverse_text":"⪎⋱⫍-56B5=((⋗⩬⋾⪎⋱⫍948)⨓(≉⪎⋱⫍2250)⋥≓≎(⪎⋱⫍2609⨐⩸⫘⪎⋱⫍2296)⪘⫢⪎⋱⫍13B5⨟⋌⩍⪎⋱⫍2A69)⨽(⪎⋱⫍1639+⇶⊼⪎⋱⫍1C26⇼⇔∾(⪎⋱⫍2062⊭↱⪎⋱⫍112C))⇷(⪎⋱⫍951∲⫓⪎⋱⫍60A)⪘⫢(⪎⋱⫍C16⩚⊴⇥⪎⋱⫍1819)","cot":[{"info":"⋗⩬⋾⪎⋱⫍948=⪎⋱⫍-220B","layer":3},{"info":"≉⪎⋱⫍2250=⪎⋱⫍256B","layer":3},{"info":"⪎⋱⫍-220B⨓⪎⋱⫍256B=⪎⋱⫍-2571","layer":2},{"info":"⪎⋱⫍2609⨐⩸⫘⪎⋱⫍2296=NaN","layer":3},{"info":"⪎⋱⫍13B5⨟⋌⩍⪎⋱⫍2A69=NaN","layer":3},{"info":"NaN⪘⫢NaN=NaN","layer":2},{"info":"⪎⋱⫍-2571⋥≓≎NaN=⪎⋱⫍52","layer":1},{"info":"⪎⋱⫍1639+⇶⊼⪎⋱⫍1C26=NaN","layer":3},{"info":"⪎⋱⫍2062⊭↱⪎⋱⫍112C=⪎⋱⫍-1B61","layer":3},{"info":"NaN⇼⇔∾⪎⋱⫍-1B61=NaN","layer":2},{"info":"⪎⋱⫍951∲⫓⪎⋱⫍60A=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍C16⩚⊴⇥⪎⋱⫍1819=⪎⋱⫍-27C6","layer":3},{"info":"⪎⋱⫍0⪘⫢⪎⋱⫍-27C6=⪎⋱⫍-1","layer":2},{"info":"NaN⇷⪎⋱⫍-1=⪎⋱⫍-2","layer":1},{"info":"⪎⋱⫍52⨽⪎⋱⫍-2=⪎⋱⫍-56B5","layer":0}]}
{"id":90,"expression_no_base_symbol":"($5872$*$1798$)⪢($4475$⫡⨏$1589$)⨪↰⇹(($1259$⨳⩥⨓$1930$)⋝⋈⪟($1111$%$2155$))⨓(⪝⪂⫅(⨞⊢$4701$∀⇚≩$4338$))","expression":"(⪎⋱⫍2899*⪎⋱⫍A84)⪢(⪎⋱⫍2063⫡⨏⪎⋱⫍953)⨪↰⇹((⪎⋱⫍75B⨳⩥⨓⪎⋱⫍B56)⋝⋈⪟(⪎⋱⫍676%⪎⋱⫍C9A))⨓(⪝⪂⫅(⨞⊢⪎⋱⫍21A8∀⇚≩⪎⋱⫍1C89))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":777989,"operation_count":11,"complexity_ratio":70726.27272727272,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":5872,"base":13},"right_expr":{"type":"numeric_atoms","value":1798,"base":13}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":4475,"base":13},"right_expr":{"type":"numeric_atoms","value":1589,"base":13}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1259,"base":13},"right_expr":{"type":"numeric_atoms","value":1930,"base":13}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1111,"base":13},"right_expr":{"type":"numeric_atoms","value":2155,"base":13}}}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":4701,"base":13},"right_expr":{"type":"numeric_atoms","value":4338,"base":13}}}}},"used_operators":["3ViojmjbAp","tmPS8pqC7x","dWAJyo7jo9","9HNa5Wba9A","QMFrweE19q","2DDjHMKMc0","nCS4ZIUYfx","k8jYdgA6NY","XTarYq4gQB","xUOZtlo3hN","LRNGc0VcxI"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rJVOvQCfKK","k8jYdgA6NY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","9HNa5Wba9A","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5872","layer":4},{"info":"number node, value=1798","layer":4},{"info":"compute binary expreesion, left_input=5872, right_input=1798, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=10557856","layer":3},{"info":"number node, value=4475","layer":4},{"info":"number node, value=1589","layer":4},{"info":"compute binary expreesion, left_input=4475, right_input=1589, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=26336","layer":3},{"info":"compute binary expreesion, left_input=10557856, right_input=26336, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=1259","layer":4},{"info":"number node, value=1930","layer":4},{"info":"compute binary expreesion, left_input=1259, right_input=1930, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=671","layer":3},{"info":"number node, value=1111","layer":4},{"info":"number node, value=2155","layer":4},{"info":"compute binary expreesion, left_input=1111, right_input=2155, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1111","layer":3},{"info":"compute binary expreesion, left_input=671, right_input=1111, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=671","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=671, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((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=4701","layer":4},{"info":"number node, value=4338","layer":4},{"info":"compute binary expreesion, left_input=4701, right_input=4338, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍2899*⪎⋱⫍A84)⪢(⪎⋱⫍2063⫡⨏⪎⋱⫍953)⨪↰⇹((⪎⋱⫍75B⨳⩥⨓⪎⋱⫍B56)⋝⋈⪟(⪎⋱⫍676%⪎⋱⫍C9A))⨓(⪝⪂⫅(⨞⊢⪎⋱⫍21A8∀⇚≩⪎⋱⫍1C89))=NaN","reverse_text":"NaN=(⪎⋱⫍2899*⪎⋱⫍A84)⪢(⪎⋱⫍2063⫡⨏⪎⋱⫍953)⨪↰⇹((⪎⋱⫍75B⨳⩥⨓⪎⋱⫍B56)⋝⋈⪟(⪎⋱⫍676%⪎⋱⫍C9A))⨓(⪝⪂⫅(⨞⊢⪎⋱⫍21A8∀⇚≩⪎⋱⫍1C89))","cot":[{"info":"⪎⋱⫍2899*⪎⋱⫍A84=⪎⋱⫍225876A","layer":3},{"info":"⪎⋱⫍2063⫡⨏⪎⋱⫍953=⪎⋱⫍BCAB","layer":3},{"info":"⪎⋱⫍225876A⪢⪎⋱⫍BCAB=NaN","layer":2},{"info":"⪎⋱⫍75B⨳⩥⨓⪎⋱⫍B56=⪎⋱⫍3C8","layer":3},{"info":"⪎⋱⫍676%⪎⋱⫍C9A=⪎⋱⫍676","layer":3},{"info":"⪎⋱⫍3C8⋝⋈⪟⪎⋱⫍676=⪎⋱⫍3C8","layer":2},{"info":"NaN⨪↰⇹⪎⋱⫍3C8=NaN","layer":1},{"info":"⪎⋱⫍21A8∀⇚≩⪎⋱⫍1C89=NaN","layer":3},{"info":"⨞⊢NaN=NaN","layer":2},{"info":"⪝⪂⫅NaN=NaN","layer":1},{"info":"NaN⨓NaN=NaN","layer":0}]}
{"id":91,"expression_no_base_symbol":"($1289$⨎$5081$⫡⨏$1055$⫥∨⫟$4902$)⨎$5591$⩷∴$2490$≭($1959$%$1197$)⪐","expression":"(⪎⋱⫍782⨎⪎⋱⫍240B⫡⨏⪎⋱⫍632⫥∨⫟⪎⋱⫍2301)⨎⪎⋱⫍2711⩷∴⪎⋱⫍1197≭(⪎⋱⫍B79%⪎⋱⫍711)⪐","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":173,"operation_count":8,"complexity_ratio":21.625,"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":1289,"base":13},"right_expr":{"type":"numeric_atoms","value":5081,"base":13}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1055,"base":13},"right_expr":{"type":"numeric_atoms","value":4902,"base":13}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":5591,"base":13},"right_expr":{"type":"numeric_atoms","value":2490,"base":13}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1959,"base":13},"right_expr":{"type":"numeric_atoms","value":1197,"base":13}}}}},"used_operators":["eH2TOUuTDT","rJVOvQCfKK","QMFrweE19q","KYD54nUTWz","rxpJgHHUmx","9FxExcQeMw","k8jYdgA6NY"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","AHs5Up7iyr","rysDP5nf3Z","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1289","layer":4},{"info":"number node, value=5081","layer":4},{"info":"compute binary expreesion, left_input=1289, right_input=5081, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=5081","layer":3},{"info":"number node, value=1055","layer":4},{"info":"number node, value=4902","layer":4},{"info":"compute binary expreesion, left_input=1055, right_input=4902, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=5081, 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=5591","layer":4},{"info":"number node, value=2490","layer":4},{"info":"compute binary expreesion, left_input=5591, right_input=2490, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=6170","layer":3},{"info":"number node, value=1959","layer":4},{"info":"number node, value=1197","layer":4},{"info":"compute binary expreesion, left_input=1959, right_input=1197, op_id = k8jYdgA6NY binary_op_definition= 'None', output=762","layer":3},{"info":"compute binary expreesion, left_input=6170, right_input=762, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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 = 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 = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍782⨎⪎⋱⫍240B⫡⨏⪎⋱⫍632⫥∨⫟⪎⋱⫍2301)⨎⪎⋱⫍2711⩷∴⪎⋱⫍1197≭(⪎⋱⫍B79%⪎⋱⫍711)⪐=NaN","reverse_text":"NaN=(⪎⋱⫍782⨎⪎⋱⫍240B⫡⨏⪎⋱⫍632⫥∨⫟⪎⋱⫍2301)⨎⪎⋱⫍2711⩷∴⪎⋱⫍1197≭(⪎⋱⫍B79%⪎⋱⫍711)⪐","cot":[{"info":"⪎⋱⫍782⨎⪎⋱⫍240B=⪎⋱⫍240B","layer":3},{"info":"⪎⋱⫍632⫥∨⫟⪎⋱⫍2301=NaN","layer":3},{"info":"⪎⋱⫍240B⫡⨏NaN=NaN","layer":2},{"info":"⪎⋱⫍2711⩷∴⪎⋱⫍1197=⪎⋱⫍2A68","layer":3},{"info":"⪎⋱⫍B79%⪎⋱⫍711=⪎⋱⫍468","layer":3},{"info":"⪎⋱⫍2A68≭⪎⋱⫍468=NaN","layer":2},{"info":"NaN⨎NaN=NaN","layer":1},{"info":"NaN⪐=NaN","layer":0}]}
{"id":92,"expression_no_base_symbol":"(≦∁$1074$⪛$2083$∑⇟⊟($2598$∲⫓$1005$))↺($1323$+$5321$)≹⇙⪍($4307$⪨≂$3356$)≎⊠⪸(⪲⇎(⨰⫟⨤$3888$))","expression":"(≦∁⪎⋱⫍648⪛⪎⋱⫍C43∑⇟⊟(⪎⋱⫍124B∲⫓⪎⋱⫍5C4))↺(⪎⋱⫍7AA+⪎⋱⫍2564)≹⇙⪍(⪎⋱⫍1C64⪨≂⪎⋱⫍16B2)≎⊠⪸(⪲⇎(⨰⫟⨤⪎⋱⫍1A01))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":14742,"operation_count":11,"complexity_ratio":1340.1818181818182,"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":1074,"base":13},"right_expr":{"type":"numeric_atoms","value":2083,"base":13}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2598,"base":13},"right_expr":{"type":"numeric_atoms","value":1005,"base":13}}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1323,"base":13},"right_expr":{"type":"numeric_atoms","value":5321,"base":13}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":4307,"base":13},"right_expr":{"type":"numeric_atoms","value":3356,"base":13}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":3888,"base":13}}}}},"used_operators":["7j4O788W3g","9ICcGScMcE","U7g4x0WXJJ","uFcxV4UQCh","i8ToyICDmI","bJkvcejdHO","AHs5Up7iyr","W4YGzv6Whe","sdazOOVcIp","XPYlsWDdGa","Tw270M8GLb"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw"],"result":"⪎⋱⫍52","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1074","layer":4},{"info":"number node, value=2083","layer":4},{"info":"compute binary expreesion, left_input=1074, right_input=2083, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1074","layer":3},{"info":"number node, value=2598","layer":4},{"info":"number node, value=1005","layer":4},{"info":"compute binary expreesion, left_input=2598, right_input=1005, 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=1074, right_input=0, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=1074","layer":2},{"info":"compute unary expreesion, input=1074, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1074","layer":1},{"info":"number node, value=1323","layer":4},{"info":"number node, value=5321","layer":4},{"info":"compute binary expreesion, left_input=1323, right_input=5321, op_id = W4YGzv6Whe binary_op_definition= 'None', output=6644","layer":3},{"info":"number node, value=4307","layer":4},{"info":"number node, value=3356","layer":4},{"info":"compute binary expreesion, left_input=4307, right_input=3356, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=2004","layer":3},{"info":"compute binary expreesion, left_input=6644, right_input=2004, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=3888","layer":4},{"info":"compute unary expreesion, input=3888, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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=1074, right_input=67, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=67","layer":0}],"base":13,"result_base":13,"text":"(≦∁⪎⋱⫍648⪛⪎⋱⫍C43∑⇟⊟(⪎⋱⫍124B∲⫓⪎⋱⫍5C4))↺(⪎⋱⫍7AA+⪎⋱⫍2564)≹⇙⪍(⪎⋱⫍1C64⪨≂⪎⋱⫍16B2)≎⊠⪸(⪲⇎(⨰⫟⨤⪎⋱⫍1A01))=⪎⋱⫍52","reverse_text":"⪎⋱⫍52=(≦∁⪎⋱⫍648⪛⪎⋱⫍C43∑⇟⊟(⪎⋱⫍124B∲⫓⪎⋱⫍5C4))↺(⪎⋱⫍7AA+⪎⋱⫍2564)≹⇙⪍(⪎⋱⫍1C64⪨≂⪎⋱⫍16B2)≎⊠⪸(⪲⇎(⨰⫟⨤⪎⋱⫍1A01))","cot":[{"info":"⪎⋱⫍648⪛⪎⋱⫍C43=⪎⋱⫍648","layer":3},{"info":"⪎⋱⫍124B∲⫓⪎⋱⫍5C4=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍648∑⇟⊟⪎⋱⫍0=⪎⋱⫍648","layer":2},{"info":"≦∁⪎⋱⫍648=⪎⋱⫍648","layer":1},{"info":"⪎⋱⫍7AA+⪎⋱⫍2564=⪎⋱⫍3041","layer":3},{"info":"⪎⋱⫍1C64⪨≂⪎⋱⫍16B2=⪎⋱⫍BB2","layer":3},{"info":"⪎⋱⫍3041≹⇙⪍⪎⋱⫍BB2=NaN","layer":2},{"info":"⨰⫟⨤⪎⋱⫍1A01=NaN","layer":3},{"info":"⪲⇎NaN=NaN","layer":2},{"info":"NaN≎⊠⪸NaN=⪎⋱⫍52","layer":1},{"info":"⪎⋱⫍648↺⪎⋱⫍52=⪎⋱⫍52","layer":0}]}
{"id":93,"expression_no_base_symbol":"⨈⫕((↔$2999$)*($1230$⋷$2426$))⨰(≉$3271$⩚⊴⇥$3840$)","expression":"⨈⫕((↔⪎⋱⫍1499)*(⪎⋱⫍738⋷⪎⋱⫍1148))⨰(≉⪎⋱⫍1648⩚⊴⇥⪎⋱⫍1995)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":3132,"operation_count":7,"complexity_ratio":447.42857142857144,"tree":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":2999,"base":13}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1230,"base":13},"right_expr":{"type":"numeric_atoms","value":2426,"base":13}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":3271,"base":13},"right_expr":{"type":"numeric_atoms","value":3840,"base":13}}}}},"used_operators":["megm06wKyl","eewbuw0ToL","9HNa5Wba9A","ruOEQAzv1W","23Mk6UjR3U","e1ybzncUwg","NTOWxs364D"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"⪎⋱⫍-18","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2999","layer":4},{"info":"compute unary expreesion, input=2999, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-2726","layer":3},{"info":"number node, value=1230","layer":4},{"info":"number node, value=2426","layer":4},{"info":"compute binary expreesion, left_input=1230, right_input=2426, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=3622","layer":3},{"info":"compute binary expreesion, left_input=-2726, right_input=3622, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-9873572","layer":2},{"info":"number node, value=3271","layer":4},{"info":"number node, value=3840","layer":4},{"info":"compute binary expreesion, left_input=3271, right_input=3840, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-7232","layer":3},{"info":"compute unary expreesion, input=-7232, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=-7232","layer":2},{"info":"compute binary expreesion, left_input=-9873572, right_input=-7232, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-9866330","layer":1},{"info":"compute unary expreesion, input=-9866330, 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":13,"result_base":13,"text":"⨈⫕((↔⪎⋱⫍1499)*(⪎⋱⫍738⋷⪎⋱⫍1148))⨰(≉⪎⋱⫍1648⩚⊴⇥⪎⋱⫍1995)=⪎⋱⫍-18","reverse_text":"⪎⋱⫍-18=⨈⫕((↔⪎⋱⫍1499)*(⪎⋱⫍738⋷⪎⋱⫍1148))⨰(≉⪎⋱⫍1648⩚⊴⇥⪎⋱⫍1995)","cot":[{"info":"↔⪎⋱⫍1499=⪎⋱⫍-1319","layer":3},{"info":"⪎⋱⫍738⋷⪎⋱⫍1148=⪎⋱⫍1858","layer":3},{"info":"⪎⋱⫍-1319*⪎⋱⫍1858=⪎⋱⫍-2079167","layer":2},{"info":"⪎⋱⫍1648⩚⊴⇥⪎⋱⫍1995=⪎⋱⫍-33A4","layer":3},{"info":"≉⪎⋱⫍-33A4=⪎⋱⫍-33A4","layer":2},{"info":"⪎⋱⫍-2079167⨰⪎⋱⫍-33A4=⪎⋱⫍-2075A86","layer":1},{"info":"⨈⫕⪎⋱⫍-2075A86=⪎⋱⫍-18","layer":0}]}
{"id":94,"expression_no_base_symbol":"⨈⫕((↽≂$8166$)⪄($9185$⊭↱$7224$))⪢(+⊝⨔($1871$≎⊠⪸$1777$))","expression":"⨈⫕((↽≂⪎⋱⫍3942)⪄(⪎⋱⫍4247⊭↱⪎⋱⫍3399))⪢(+⊝⨔(⪎⋱⫍B0C≎⊠⪸⪎⋱⫍A69))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":7360,"operation_count":7,"complexity_ratio":1051.4285714285713,"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":8166,"base":13}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":9185,"base":13},"right_expr":{"type":"numeric_atoms","value":7224,"base":13}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1871,"base":13},"right_expr":{"type":"numeric_atoms","value":1777,"base":13}}}}},"used_operators":["megm06wKyl","dWAJyo7jo9","SUmda5xLS4","u6S6b8DprG","COABgblf1C","DhbWaqg5eL","bJkvcejdHO"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","k8jYdgA6NY","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"⪎⋱⫍-18","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=8166","layer":4},{"info":"compute unary expreesion, input=8166, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-16332","layer":3},{"info":"number node, value=9185","layer":4},{"info":"number node, value=7224","layer":4},{"info":"compute binary expreesion, left_input=9185, right_input=7224, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-3917","layer":3},{"info":"compute binary expreesion, left_input=-16332, right_input=-3917, 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=1871","layer":4},{"info":"number node, value=1777","layer":4},{"info":"compute binary expreesion, left_input=1871, right_input=1777, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=484116","layer":3},{"info":"compute unary expreesion, input=484116, 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=3979, 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 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":13,"result_base":13,"text":"⨈⫕((↽≂⪎⋱⫍3942)⪄(⪎⋱⫍4247⊭↱⪎⋱⫍3399))⪢(+⊝⨔(⪎⋱⫍B0C≎⊠⪸⪎⋱⫍A69))=⪎⋱⫍-18","reverse_text":"⪎⋱⫍-18=⨈⫕((↽≂⪎⋱⫍3942)⪄(⪎⋱⫍4247⊭↱⪎⋱⫍3399))⪢(+⊝⨔(⪎⋱⫍B0C≎⊠⪸⪎⋱⫍A69))","cot":[{"info":"↽≂⪎⋱⫍3942=⪎⋱⫍-7584","layer":3},{"info":"⪎⋱⫍4247⊭↱⪎⋱⫍3399=⪎⋱⫍-1A24","layer":3},{"info":"⪎⋱⫍-7584⪄⪎⋱⫍-1A24=⪎⋱⫍1A71","layer":2},{"info":"⪎⋱⫍B0C≎⊠⪸⪎⋱⫍A69=⪎⋱⫍13C479","layer":3},{"info":"+⊝⨔⪎⋱⫍13C479=⪎⋱⫍901","layer":2},{"info":"⪎⋱⫍1A71⪢⪎⋱⫍901=NaN","layer":1},{"info":"⨈⫕NaN=⪎⋱⫍-18","layer":0}]}
{"id":95,"expression_no_base_symbol":"(($4454$⇼⇔∾$3146$)⨪↰⇹(↥$7860$)⫡⨏((⊙↵-$2006$)⪨≂($1345$/$3094$)))*((($3356$⫡⨏$1950$)⪐)⋷$1463$≹⇙⪍$2560$⨎$2673$⪘⫢$5512$)","expression":"((⪎⋱⫍2048⇼⇔∾⪎⋱⫍1580)⨪↰⇹(↥⪎⋱⫍3768)⫡⨏((⊙↵-⪎⋱⫍BB4)⪨≂(⪎⋱⫍7C6/⪎⋱⫍1540)))*(((⪎⋱⫍16B2⫡⨏⪎⋱⫍B70)⪐)⋷⪎⋱⫍887≹⇙⪍⪎⋱⫍121C⨎⪎⋱⫍12A8⪘⫢⪎⋱⫍2680)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":9115,"operation_count":14,"complexity_ratio":651.0714285714286,"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":4454,"base":13},"right_expr":{"type":"numeric_atoms","value":3146,"base":13}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":7860,"base":13}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":2006,"base":13}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1345,"base":13},"right_expr":{"type":"numeric_atoms","value":3094,"base":13}}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":3356,"base":13},"right_expr":{"type":"numeric_atoms","value":1950,"base":13}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1463,"base":13},"right_expr":{"type":"numeric_atoms","value":2560,"base":13}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2673,"base":13},"right_expr":{"type":"numeric_atoms","value":5512,"base":13}}}}},"used_operators":["9HNa5Wba9A","QMFrweE19q","tmPS8pqC7x","tifHPKVTfV","A8NUZmVepG","sdazOOVcIp","oWn0xqSxBt","XhwjNDsVaA","23Mk6UjR3U","eH2TOUuTDT","rJVOvQCfKK","AHs5Up7iyr","oacrs7FA3X"],"dependent_operators":["W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","dWAJyo7jo9","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"⪎⋱⫍2B51B7C9","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4454","layer":4},{"info":"number node, value=3146","layer":4},{"info":"compute binary expreesion, left_input=4454, right_input=3146, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-1308","layer":3},{"info":"number node, value=7860","layer":4},{"info":"compute unary expreesion, input=7860, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=6","layer":3},{"info":"compute binary expreesion, left_input=-1308, right_input=6, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=-1308","layer":2},{"info":"number node, value=2006","layer":4},{"info":"compute unary expreesion, input=2006, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=1345","layer":4},{"info":"number node, value=3094","layer":4},{"info":"compute binary expreesion, left_input=1345, right_input=3094, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute binary expreesion, left_input=-1, 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=100","layer":2},{"info":"compute binary expreesion, left_input=-1308, right_input=100, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=-5557","layer":1},{"info":"number node, value=3356","layer":4},{"info":"number node, value=1950","layer":4},{"info":"compute binary expreesion, left_input=3356, right_input=1950, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=21463","layer":3},{"info":"compute unary expreesion, input=21463, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=42926","layer":2},{"info":"number node, value=1463","layer":4},{"info":"number node, value=2560","layer":4},{"info":"compute binary expreesion, left_input=1463, right_input=2560, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=2673","layer":4},{"info":"number node, value=5512","layer":4},{"info":"compute binary expreesion, left_input=2673, right_input=5512, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=5222","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5222, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=5222","layer":2},{"info":"compute binary expreesion, left_input=42926, right_input=5222, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-32482","layer":1},{"info":"compute binary expreesion, left_input=-5557, right_input=-32482, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=180502474","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍2048⇼⇔∾⪎⋱⫍1580)⨪↰⇹(↥⪎⋱⫍3768)⫡⨏((⊙↵-⪎⋱⫍BB4)⪨≂(⪎⋱⫍7C6/⪎⋱⫍1540)))*(((⪎⋱⫍16B2⫡⨏⪎⋱⫍B70)⪐)⋷⪎⋱⫍887≹⇙⪍⪎⋱⫍121C⨎⪎⋱⫍12A8⪘⫢⪎⋱⫍2680)=⪎⋱⫍2B51B7C9","reverse_text":"⪎⋱⫍2B51B7C9=((⪎⋱⫍2048⇼⇔∾⪎⋱⫍1580)⨪↰⇹(↥⪎⋱⫍3768)⫡⨏((⊙↵-⪎⋱⫍BB4)⪨≂(⪎⋱⫍7C6/⪎⋱⫍1540)))*(((⪎⋱⫍16B2⫡⨏⪎⋱⫍B70)⪐)⋷⪎⋱⫍887≹⇙⪍⪎⋱⫍121C⨎⪎⋱⫍12A8⪘⫢⪎⋱⫍2680)","cot":[{"info":"⪎⋱⫍2048⇼⇔∾⪎⋱⫍1580=⪎⋱⫍-798","layer":3},{"info":"↥⪎⋱⫍3768=⪎⋱⫍6","layer":3},{"info":"⪎⋱⫍-798⨪↰⇹⪎⋱⫍6=⪎⋱⫍-798","layer":2},{"info":"⊙↵-⪎⋱⫍BB4=⪎⋱⫍-1","layer":3},{"info":"⪎⋱⫍7C6/⪎⋱⫍1540=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍-1⪨≂⪎⋱⫍0=⪎⋱⫍79","layer":2},{"info":"⪎⋱⫍-798⫡⨏⪎⋱⫍79=⪎⋱⫍-26B6","layer":1},{"info":"⪎⋱⫍16B2⫡⨏⪎⋱⫍B70=⪎⋱⫍9A00","layer":3},{"info":"⪎⋱⫍9A00⪐=⪎⋱⫍16700","layer":2},{"info":"⪎⋱⫍887≹⇙⪍⪎⋱⫍121C=NaN","layer":3},{"info":"⪎⋱⫍12A8⪘⫢⪎⋱⫍2680=⪎⋱⫍24B9","layer":3},{"info":"NaN⨎⪎⋱⫍24B9=⪎⋱⫍24B9","layer":2},{"info":"⪎⋱⫍16700⋷⪎⋱⫍24B9=⪎⋱⫍-11A28","layer":1},{"info":"⪎⋱⫍-26B6*⪎⋱⫍-11A28=⪎⋱⫍2B51B7C9","layer":0}]}
{"id":96,"expression_no_base_symbol":"(⨑⩽⪐($3734$⫸⊐$1728$⊉≛↸($3524$+$2493$)))⋓((⪲⇎$2813$)⪒$1222$⇷$1796$)⨓(⫓⪴(+⊝⨔$1080$))","expression":"(⨑⩽⪐(⪎⋱⫍1913⫸⊐⪎⋱⫍A2C⊉≛↸(⪎⋱⫍17B1+⪎⋱⫍119A)))⋓((⪲⇎⪎⋱⫍1385)⪒⪎⋱⫍730⇷⪎⋱⫍A82)⨓(⫓⪴(+⊝⨔⪎⋱⫍651))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":18732,"operation_count":11,"complexity_ratio":1702.909090909091,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":3734,"base":13},"right_expr":{"type":"numeric_atoms","value":1728,"base":13}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":3524,"base":13},"right_expr":{"type":"numeric_atoms","value":2493,"base":13}}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":2813,"base":13}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1222,"base":13},"right_expr":{"type":"numeric_atoms","value":1796,"base":13}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":1080,"base":13}}}}},"used_operators":["T2fj7uvVaJ","AF7qkfDlqP","DZ8iAZOCBD","mqXw5SEYmG","W4YGzv6Whe","3ViojmjbAp","f6k1SAg4EE","XPYlsWDdGa","mp7IySMOzn","eLxqMNBOBk","DhbWaqg5eL"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","9HNa5Wba9A","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3734","layer":4},{"info":"number node, value=1728","layer":4},{"info":"compute binary expreesion, left_input=3734, right_input=1728, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=6787","layer":3},{"info":"number node, value=3524","layer":4},{"info":"number node, value=2493","layer":4},{"info":"compute binary expreesion, left_input=3524, right_input=2493, op_id = W4YGzv6Whe binary_op_definition= 'None', output=6017","layer":3},{"info":"compute binary expreesion, left_input=6787, right_input=6017, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=13574","layer":2},{"info":"compute unary expreesion, input=13574, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-13301","layer":1},{"info":"number node, value=2813","layer":4},{"info":"compute unary expreesion, input=2813, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=5626","layer":3},{"info":"number node, value=1222","layer":4},{"info":"number node, value=1796","layer":4},{"info":"compute binary expreesion, left_input=1222, right_input=1796, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3592","layer":3},{"info":"compute binary expreesion, left_input=5626, right_input=3592, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-9218","layer":2},{"info":"number node, value=1080","layer":4},{"info":"compute unary expreesion, input=1080, 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 = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=2316484","layer":2},{"info":"compute binary expreesion, left_input=-9218, right_input=2316484, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-13301, 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":13,"result_base":13,"text":"(⨑⩽⪐(⪎⋱⫍1913⫸⊐⪎⋱⫍A2C⊉≛↸(⪎⋱⫍17B1+⪎⋱⫍119A)))⋓((⪲⇎⪎⋱⫍1385)⪒⪎⋱⫍730⇷⪎⋱⫍A82)⨓(⫓⪴(+⊝⨔⪎⋱⫍651))=NaN","reverse_text":"NaN=(⨑⩽⪐(⪎⋱⫍1913⫸⊐⪎⋱⫍A2C⊉≛↸(⪎⋱⫍17B1+⪎⋱⫍119A)))⋓((⪲⇎⪎⋱⫍1385)⪒⪎⋱⫍730⇷⪎⋱⫍A82)⨓(⫓⪴(+⊝⨔⪎⋱⫍651))","cot":[{"info":"⪎⋱⫍1913⫸⊐⪎⋱⫍A2C=⪎⋱⫍3121","layer":3},{"info":"⪎⋱⫍17B1+⪎⋱⫍119A=⪎⋱⫍297B","layer":3},{"info":"⪎⋱⫍3121⊉≛↸⪎⋱⫍297B=⪎⋱⫍6242","layer":2},{"info":"⨑⩽⪐⪎⋱⫍6242=⪎⋱⫍-6092","layer":1},{"info":"⪲⇎⪎⋱⫍1385=⪎⋱⫍273A","layer":3},{"info":"⪎⋱⫍730⇷⪎⋱⫍A82=⪎⋱⫍1834","layer":3},{"info":"⪎⋱⫍273A⪒⪎⋱⫍1834=⪎⋱⫍-4271","layer":2},{"info":"+⊝⨔⪎⋱⫍651=⪎⋱⫍901","layer":3},{"info":"⫓⪴⪎⋱⫍901=⪎⋱⫍631501","layer":2},{"info":"⪎⋱⫍-4271⨓⪎⋱⫍631501=NaN","layer":1},{"info":"⪎⋱⫍-6092⋓NaN=NaN","layer":0}]}
{"id":97,"expression_no_base_symbol":"((⨑⩽⪐($1204$⊦⊿))⋷($5150$⨁⊸⫻)-(⇁⨣⪵$5185$))⩷∴($6914$≭$1190$⪄$1004$≹⇙⪍$3452$-(⫛⫱⨽(∥⊫$2017$)))","expression":"((⨑⩽⪐(⪎⋱⫍718⊦⊿))⋷(⪎⋱⫍2462⨁⊸⫻)-(⇁⨣⪵⪎⋱⫍248B))⩷∴(⪎⋱⫍31BB≭⪎⋱⫍707⪄⪎⋱⫍5C3≹⇙⪍⪎⋱⫍1757-(⫛⫱⨽(∥⊫⪎⋱⫍BC2)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1475,"operation_count":13,"complexity_ratio":113.46153846153847,"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":1204,"base":13}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":5150,"base":13}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":5185,"base":13}}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":6914,"base":13},"right_expr":{"type":"numeric_atoms","value":1190,"base":13}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1004,"base":13},"right_expr":{"type":"numeric_atoms","value":3452,"base":13}}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":2017,"base":13}}}}},"used_operators":["9FxExcQeMw","23Mk6UjR3U","AF7qkfDlqP","14qkJME0vr","rysDP5nf3Z","glklzrTFfD","inkyxCbjAn","SUmda5xLS4","rxpJgHHUmx","AHs5Up7iyr","DlLNRPXxWL","P8v4zCKN1o"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","B5M0gjZbta","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","AHs5Up7iyr","dWAJyo7jo9","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1204","layer":4},{"info":"compute unary expreesion, input=1204, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-3691","layer":3},{"info":"compute unary expreesion, input=-3691, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=8171","layer":2},{"info":"number node, value=5150","layer":4},{"info":"compute unary expreesion, input=5150, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=5150","layer":3},{"info":"number node, value=5185","layer":4},{"info":"compute unary expreesion, input=5185, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=5150, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=8171, 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=6914","layer":4},{"info":"number node, value=1190","layer":4},{"info":"compute binary expreesion, left_input=6914, right_input=1190, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=1004","layer":4},{"info":"number node, value=3452","layer":4},{"info":"compute binary expreesion, left_input=1004, right_input=3452, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":2},{"info":"number node, value=2017","layer":4},{"info":"compute unary expreesion, input=2017, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2885","layer":3},{"info":"compute unary expreesion, input=2885, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=3979, right_input=0, op_id = rysDP5nf3Z binary_op_definition= 'None', output=3979","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=3979, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⨑⩽⪐(⪎⋱⫍718⊦⊿))⋷(⪎⋱⫍2462⨁⊸⫻)-(⇁⨣⪵⪎⋱⫍248B))⩷∴(⪎⋱⫍31BB≭⪎⋱⫍707⪄⪎⋱⫍5C3≹⇙⪍⪎⋱⫍1757-(⫛⫱⨽(∥⊫⪎⋱⫍BC2)))=NaN","reverse_text":"NaN=((⨑⩽⪐(⪎⋱⫍718⊦⊿))⋷(⪎⋱⫍2462⨁⊸⫻)-(⇁⨣⪵⪎⋱⫍248B))⩷∴(⪎⋱⫍31BB≭⪎⋱⫍707⪄⪎⋱⫍5C3≹⇙⪍⪎⋱⫍1757-(⫛⫱⨽(∥⊫⪎⋱⫍BC2)))","cot":[{"info":"⪎⋱⫍718⊦⊿=⪎⋱⫍-18AC","layer":3},{"info":"⨑⩽⪐⪎⋱⫍-18AC=⪎⋱⫍3947","layer":2},{"info":"⪎⋱⫍2462⨁⊸⫻=⪎⋱⫍2462","layer":3},{"info":"⇁⨣⪵⪎⋱⫍248B=NaN","layer":3},{"info":"⪎⋱⫍2462-NaN=NaN","layer":2},{"info":"⪎⋱⫍3947⋷NaN=NaN","layer":1},{"info":"⪎⋱⫍31BB≭⪎⋱⫍707=NaN","layer":3},{"info":"⪎⋱⫍5C3≹⇙⪍⪎⋱⫍1757=NaN","layer":3},{"info":"NaN⪄NaN=⪎⋱⫍1A71","layer":2},{"info":"∥⊫⪎⋱⫍BC2=⪎⋱⫍140C","layer":3},{"info":"⫛⫱⨽⪎⋱⫍140C=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍1A71-⪎⋱⫍0=⪎⋱⫍1A71","layer":1},{"info":"NaN⩷∴⪎⋱⫍1A71=NaN","layer":0}]}
{"id":98,"expression_no_base_symbol":"(⇁⨣⪵$3740$⨟⋌⩍$1149$)⊉≛↸($6146$≭$1943$⋷$4635$≧⫂∧$1230$)⪨≂((≉$1966$)⨳⩥⨓$4715$⨪↰⇹$4606$)∑⇟⊟($2854$⩚⊴⇥$2226$⫡⨏(↣≠⋷$1927$))","expression":"(⇁⨣⪵⪎⋱⫍1919⨟⋌⩍⪎⋱⫍6A5)⊉≛↸(⪎⋱⫍2A4A≭⪎⋱⫍B66⋷⪎⋱⫍2157≧⫂∧⪎⋱⫍738)⪨≂((≉⪎⋱⫍B83)⨳⩥⨓⪎⋱⫍21B9⨪↰⇹⪎⋱⫍2134)∑⇟⊟(⪎⋱⫍13B7⩚⊴⇥⪎⋱⫍1023⫡⨏(↣≠⋷⪎⋱⫍B53))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":4747,"operation_count":14,"complexity_ratio":339.07142857142856,"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":3740,"base":13},"right_expr":{"type":"numeric_atoms","value":1149,"base":13}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":6146,"base":13},"right_expr":{"type":"numeric_atoms","value":1943,"base":13}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":4635,"base":13},"right_expr":{"type":"numeric_atoms","value":1230,"base":13}}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1966,"base":13}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":4715,"base":13},"right_expr":{"type":"numeric_atoms","value":4606,"base":13}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2854,"base":13},"right_expr":{"type":"numeric_atoms","value":2226,"base":13}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1927,"base":13}}}}},"used_operators":["sdazOOVcIp","DZ8iAZOCBD","inkyxCbjAn","rGHVDoGpnC","23Mk6UjR3U","rxpJgHHUmx","Ph9nP6C5qx","U7g4x0WXJJ","nCS4ZIUYfx","e1ybzncUwg","tmPS8pqC7x","QMFrweE19q","NTOWxs364D","Asc51vEJeQ"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","XhwjNDsVaA","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3740","layer":4},{"info":"number node, value=1149","layer":4},{"info":"compute binary expreesion, left_input=3740, right_input=1149, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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":"number node, value=6146","layer":4},{"info":"number node, value=1943","layer":4},{"info":"compute binary expreesion, left_input=6146, right_input=1943, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=4635","layer":4},{"info":"number node, value=1230","layer":4},{"info":"compute binary expreesion, left_input=4635, right_input=1230, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=757","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=757, 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 = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":1},{"info":"number node, value=1966","layer":4},{"info":"compute unary expreesion, input=1966, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=2497","layer":3},{"info":"number node, value=4715","layer":4},{"info":"number node, value=4606","layer":4},{"info":"compute binary expreesion, left_input=4715, right_input=4606, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=4715","layer":3},{"info":"compute binary expreesion, left_input=2497, right_input=4715, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=2218","layer":2},{"info":"number node, value=2854","layer":4},{"info":"number node, value=2226","layer":4},{"info":"compute binary expreesion, left_input=2854, right_input=2226, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-5201","layer":3},{"info":"number node, value=1927","layer":4},{"info":"compute unary expreesion, input=1927, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-5201, 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=2218, 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 = 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":13,"result_base":13,"text":"(⇁⨣⪵⪎⋱⫍1919⨟⋌⩍⪎⋱⫍6A5)⊉≛↸(⪎⋱⫍2A4A≭⪎⋱⫍B66⋷⪎⋱⫍2157≧⫂∧⪎⋱⫍738)⪨≂((≉⪎⋱⫍B83)⨳⩥⨓⪎⋱⫍21B9⨪↰⇹⪎⋱⫍2134)∑⇟⊟(⪎⋱⫍13B7⩚⊴⇥⪎⋱⫍1023⫡⨏(↣≠⋷⪎⋱⫍B53))=NaN","reverse_text":"NaN=(⇁⨣⪵⪎⋱⫍1919⨟⋌⩍⪎⋱⫍6A5)⊉≛↸(⪎⋱⫍2A4A≭⪎⋱⫍B66⋷⪎⋱⫍2157≧⫂∧⪎⋱⫍738)⪨≂((≉⪎⋱⫍B83)⨳⩥⨓⪎⋱⫍21B9⨪↰⇹⪎⋱⫍2134)∑⇟⊟(⪎⋱⫍13B7⩚⊴⇥⪎⋱⫍1023⫡⨏(↣≠⋷⪎⋱⫍B53))","cot":[{"info":"⪎⋱⫍1919⨟⋌⩍⪎⋱⫍6A5=NaN","layer":3},{"info":"⇁⨣⪵NaN=NaN","layer":2},{"info":"⪎⋱⫍2A4A≭⪎⋱⫍B66=NaN","layer":3},{"info":"⪎⋱⫍2157≧⫂∧⪎⋱⫍738=⪎⋱⫍463","layer":3},{"info":"NaN⋷⪎⋱⫍463=NaN","layer":2},{"info":"NaN⊉≛↸NaN=NaN","layer":1},{"info":"≉⪎⋱⫍B83=⪎⋱⫍11A1","layer":3},{"info":"⪎⋱⫍21B9⨪↰⇹⪎⋱⫍2134=⪎⋱⫍21B9","layer":3},{"info":"⪎⋱⫍11A1⨳⩥⨓⪎⋱⫍21B9=⪎⋱⫍1018","layer":2},{"info":"⪎⋱⫍13B7⩚⊴⇥⪎⋱⫍1023=⪎⋱⫍-24A1","layer":3},{"info":"↣≠⋷⪎⋱⫍B53=NaN","layer":3},{"info":"⪎⋱⫍-24A1⫡⨏NaN=NaN","layer":2},{"info":"⪎⋱⫍1018∑⇟⊟NaN=NaN","layer":1},{"info":"NaN⪨≂NaN=NaN","layer":0}]}
{"id":99,"expression_no_base_symbol":"((↣≠⋷($1036$⩨$5192$))/$1493$⨪↰⇹$2965$∲⫓(≦∁$1174$))⇷(↥(↣≠⋷($5639$↛⩡⫤)))","expression":"((↣≠⋷(⪎⋱⫍619⩨⪎⋱⫍2495))/⪎⋱⫍8AB⨪↰⇹⪎⋱⫍1471∲⫓(≦∁⪎⋱⫍6C4))⇷(↥(↣≠⋷(⪎⋱⫍274A↛⩡⫤)))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":18794,"operation_count":10,"complexity_ratio":1879.4,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1036,"base":13},"right_expr":{"type":"numeric_atoms","value":5192,"base":13}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1493,"base":13},"right_expr":{"type":"numeric_atoms","value":2965,"base":13}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":1174,"base":13}}}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":5639,"base":13}}}}},"used_operators":["mp7IySMOzn","XhwjNDsVaA","Asc51vEJeQ","2DlMacCsIx","i8ToyICDmI","tmPS8pqC7x","9ICcGScMcE","A8NUZmVepG","FU0Cs4j7VP"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","XhwjNDsVaA","AHs5Up7iyr","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","k8jYdgA6NY","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1036","layer":4},{"info":"number node, value=5192","layer":4},{"info":"compute binary expreesion, left_input=1036, right_input=5192, 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 = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"number node, value=1493","layer":4},{"info":"number node, value=2965","layer":4},{"info":"compute binary expreesion, left_input=1493, right_input=2965, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1493","layer":3},{"info":"number node, value=1174","layer":4},{"info":"compute unary expreesion, input=1174, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1174","layer":3},{"info":"compute binary expreesion, left_input=1493, right_input=1174, 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 = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=5639","layer":4},{"info":"compute unary expreesion, input=5639, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-847578","layer":3},{"info":"compute unary expreesion, input=-847578, 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 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":13,"result_base":13,"text":"((↣≠⋷(⪎⋱⫍619⩨⪎⋱⫍2495))/⪎⋱⫍8AB⨪↰⇹⪎⋱⫍1471∲⫓(≦∁⪎⋱⫍6C4))⇷(↥(↣≠⋷(⪎⋱⫍274A↛⩡⫤)))=NaN","reverse_text":"NaN=((↣≠⋷(⪎⋱⫍619⩨⪎⋱⫍2495))/⪎⋱⫍8AB⨪↰⇹⪎⋱⫍1471∲⫓(≦∁⪎⋱⫍6C4))⇷(↥(↣≠⋷(⪎⋱⫍274A↛⩡⫤)))","cot":[{"info":"⪎⋱⫍619⩨⪎⋱⫍2495=⪎⋱⫍-12","layer":3},{"info":"↣≠⋷⪎⋱⫍-12=NaN","layer":2},{"info":"⪎⋱⫍8AB⨪↰⇹⪎⋱⫍1471=⪎⋱⫍8AB","layer":3},{"info":"≦∁⪎⋱⫍6C4=⪎⋱⫍6C4","layer":3},{"info":"⪎⋱⫍8AB∲⫓⪎⋱⫍6C4=⪎⋱⫍0","layer":2},{"info":"NaN/⪎⋱⫍0=NaN","layer":1},{"info":"⪎⋱⫍274A↛⩡⫤=⪎⋱⫍-238A34","layer":3},{"info":"↣≠⋷⪎⋱⫍-238A34=NaN","layer":2},{"info":"↥NaN=NaN","layer":1},{"info":"NaN⇷NaN=NaN","layer":0}]}
{"id":100,"expression_no_base_symbol":"⇁⨣⪵(($5376$⪐)∲⫓(⊄⩳↩$7169$))⨳⩥⨓((≦∁$1072$)⨁⊸⫻)","expression":"⇁⨣⪵((⪎⋱⫍25A7⪐)∲⫓(⊄⩳↩⪎⋱⫍3356))⨳⩥⨓((≦∁⪎⋱⫍646)⨁⊸⫻)","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":12,"operation_count":7,"complexity_ratio":1.7142857142857142,"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":5376,"base":13}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":7169,"base":13}}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":1072,"base":13}}}}},"used_operators":["inkyxCbjAn","nCS4ZIUYfx","i8ToyICDmI","eH2TOUuTDT","8w2t5hMYqp","glklzrTFfD","9ICcGScMcE"],"dependent_operators":["B5M0gjZbta","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5376","layer":4},{"info":"compute unary expreesion, input=5376, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=10752","layer":3},{"info":"number node, value=7169","layer":4},{"info":"compute unary expreesion, input=7169, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-21507","layer":3},{"info":"compute binary expreesion, left_input=10752, right_input=-21507, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=10752","layer":2},{"info":"number node, value=1072","layer":4},{"info":"compute unary expreesion, input=1072, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1072","layer":3},{"info":"compute unary expreesion, input=1072, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=1072","layer":2},{"info":"compute binary expreesion, left_input=10752, right_input=1072, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-9680","layer":1},{"info":"compute unary expreesion, input=-9680, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⇁⨣⪵((⪎⋱⫍25A7⪐)∲⫓(⊄⩳↩⪎⋱⫍3356))⨳⩥⨓((≦∁⪎⋱⫍646)⨁⊸⫻)=NaN","reverse_text":"NaN=⇁⨣⪵((⪎⋱⫍25A7⪐)∲⫓(⊄⩳↩⪎⋱⫍3356))⨳⩥⨓((≦∁⪎⋱⫍646)⨁⊸⫻)","cot":[{"info":"⪎⋱⫍25A7⪐=⪎⋱⫍4B81","layer":3},{"info":"⊄⩳↩⪎⋱⫍3356=⪎⋱⫍-9A35","layer":3},{"info":"⪎⋱⫍4B81∲⫓⪎⋱⫍-9A35=⪎⋱⫍4B81","layer":2},{"info":"≦∁⪎⋱⫍646=⪎⋱⫍646","layer":3},{"info":"⪎⋱⫍646⨁⊸⫻=⪎⋱⫍646","layer":2},{"info":"⪎⋱⫍4B81⨳⩥⨓⪎⋱⫍646=⪎⋱⫍-4538","layer":1},{"info":"⇁⨣⪵⪎⋱⫍-4538=NaN","layer":0}]}
{"id":101,"expression_no_base_symbol":"((⨰⫟⨤$2347$)/$1851$⇼⇔∾$5745$)⊭↱($6574$*$6674$)≭$1575$⪢$1168$⊭↱($1002$⪘⫢$2656$∑⇟⊟($2676$≎⊠⪸$1126$))⊴((⨑⩽⪐$4365$)*($1303$⪐))","expression":"((⨰⫟⨤⪎⋱⫍10B7)/⪎⋱⫍AC5⇼⇔∾⪎⋱⫍27CC)⊭↱(⪎⋱⫍2CB9*⪎⋱⫍3065)≭⪎⋱⫍942⪢⪎⋱⫍6BB⊭↱(⪎⋱⫍5C1⪘⫢⪎⋱⫍1294∑⇟⊟(⪎⋱⫍12AB≎⊠⪸⪎⋱⫍688))⊴((⨑⩽⪐⪎⋱⫍1CAA)*(⪎⋱⫍793⪐))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":19293,"operation_count":15,"complexity_ratio":1286.2,"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":2347,"base":13}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1851,"base":13},"right_expr":{"type":"numeric_atoms","value":5745,"base":13}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":6574,"base":13},"right_expr":{"type":"numeric_atoms","value":6674,"base":13}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1575,"base":13},"right_expr":{"type":"numeric_atoms","value":1168,"base":13}}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1002,"base":13},"right_expr":{"type":"numeric_atoms","value":2656,"base":13}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2676,"base":13},"right_expr":{"type":"numeric_atoms","value":1126,"base":13}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":4365,"base":13}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":1303,"base":13}}}}},"used_operators":["COABgblf1C","XhwjNDsVaA","Tw270M8GLb","tifHPKVTfV","rxpJgHHUmx","9HNa5Wba9A","dWAJyo7jo9","Nsiff2A1zJ","U7g4x0WXJJ","oacrs7FA3X","bJkvcejdHO","AF7qkfDlqP","eH2TOUuTDT"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","W4YGzv6Whe","k8jYdgA6NY","dWAJyo7jo9","14qkJME0vr","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2347","layer":4},{"info":"compute unary expreesion, input=2347, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=1851","layer":4},{"info":"number node, value=5745","layer":4},{"info":"compute binary expreesion, left_input=1851, right_input=5745, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=3894","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3894, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=6574","layer":4},{"info":"number node, value=6674","layer":4},{"info":"compute binary expreesion, left_input=6574, right_input=6674, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=43874876","layer":3},{"info":"number node, value=1575","layer":4},{"info":"number node, value=1168","layer":4},{"info":"compute binary expreesion, left_input=1575, right_input=1168, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=43874876, right_input=nan, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":1},{"info":"number node, value=1002","layer":4},{"info":"number node, value=2656","layer":4},{"info":"compute binary expreesion, left_input=1002, right_input=2656, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=1880","layer":3},{"info":"number node, value=2676","layer":4},{"info":"number node, value=1126","layer":4},{"info":"compute binary expreesion, left_input=2676, right_input=1126, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=692611","layer":3},{"info":"compute binary expreesion, left_input=1880, right_input=692611, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=4365","layer":4},{"info":"compute unary expreesion, input=4365, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-4092","layer":3},{"info":"number node, value=1303","layer":4},{"info":"compute unary expreesion, input=1303, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=2606","layer":3},{"info":"compute binary expreesion, left_input=-4092, right_input=2606, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-10663752","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-10663752, 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 = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⨰⫟⨤⪎⋱⫍10B7)/⪎⋱⫍AC5⇼⇔∾⪎⋱⫍27CC)⊭↱(⪎⋱⫍2CB9*⪎⋱⫍3065)≭⪎⋱⫍942⪢⪎⋱⫍6BB⊭↱(⪎⋱⫍5C1⪘⫢⪎⋱⫍1294∑⇟⊟(⪎⋱⫍12AB≎⊠⪸⪎⋱⫍688))⊴((⨑⩽⪐⪎⋱⫍1CAA)*(⪎⋱⫍793⪐))=NaN","reverse_text":"NaN=((⨰⫟⨤⪎⋱⫍10B7)/⪎⋱⫍AC5⇼⇔∾⪎⋱⫍27CC)⊭↱(⪎⋱⫍2CB9*⪎⋱⫍3065)≭⪎⋱⫍942⪢⪎⋱⫍6BB⊭↱(⪎⋱⫍5C1⪘⫢⪎⋱⫍1294∑⇟⊟(⪎⋱⫍12AB≎⊠⪸⪎⋱⫍688))⊴((⨑⩽⪐⪎⋱⫍1CAA)*(⪎⋱⫍793⪐))","cot":[{"info":"⨰⫟⨤⪎⋱⫍10B7=NaN","layer":3},{"info":"⪎⋱⫍AC5⇼⇔∾⪎⋱⫍27CC=⪎⋱⫍1A07","layer":3},{"info":"NaN/⪎⋱⫍1A07=NaN","layer":2},{"info":"⪎⋱⫍2CB9*⪎⋱⫍3065=⪎⋱⫍9122486","layer":3},{"info":"⪎⋱⫍942⪢⪎⋱⫍6BB=NaN","layer":3},{"info":"⪎⋱⫍9122486≭NaN=NaN","layer":2},{"info":"NaN⊭↱NaN=NaN","layer":1},{"info":"⪎⋱⫍5C1⪘⫢⪎⋱⫍1294=⪎⋱⫍B18","layer":3},{"info":"⪎⋱⫍12AB≎⊠⪸⪎⋱⫍688=⪎⋱⫍1B333A","layer":3},{"info":"⪎⋱⫍B18∑⇟⊟⪎⋱⫍1B333A=NaN","layer":2},{"info":"⨑⩽⪐⪎⋱⫍1CAA=⪎⋱⫍-1B2A","layer":3},{"info":"⪎⋱⫍793⪐=⪎⋱⫍1256","layer":3},{"info":"⪎⋱⫍-1B2A*⪎⋱⫍1256=⪎⋱⫍-2294A18","layer":2},{"info":"NaN⊴⪎⋱⫍-2294A18=NaN","layer":1},{"info":"NaN⊭↱NaN=NaN","layer":0}]}
{"id":102,"expression_no_base_symbol":"⪲⇎($1274$⩷∴$4962$⨳⩥⨓$6722$+⇶⊼$1058$)⪛(($3062$↺$7230$)⋳⪒($2379$↺$4184$))","expression":"⪲⇎(⪎⋱⫍770⩷∴⪎⋱⫍2349⨳⩥⨓⪎⋱⫍30A1+⇶⊼⪎⋱⫍635)⪛((⪎⋱⫍1517↺⪎⋱⫍33A2)⋳⪒(⪎⋱⫍1110↺⪎⋱⫍1B9B))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":27,"operation_count":8,"complexity_ratio":3.375,"tree":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1274,"base":13},"right_expr":{"type":"numeric_atoms","value":4962,"base":13}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":6722,"base":13},"right_expr":{"type":"numeric_atoms","value":1058,"base":13}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":3062,"base":13},"right_expr":{"type":"numeric_atoms","value":7230,"base":13}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2379,"base":13},"right_expr":{"type":"numeric_atoms","value":4184,"base":13}}}}},"used_operators":["XPYlsWDdGa","uFcxV4UQCh","nCS4ZIUYfx","9FxExcQeMw","TpPTUOHfaN","12rbrZMWeM","7j4O788W3g"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1274","layer":4},{"info":"number node, value=4962","layer":4},{"info":"compute binary expreesion, left_input=1274, right_input=4962, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-7408","layer":3},{"info":"number node, value=6722","layer":4},{"info":"number node, value=1058","layer":4},{"info":"compute binary expreesion, left_input=6722, right_input=1058, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=-7408, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":2},{"info":"number node, value=3062","layer":4},{"info":"number node, value=7230","layer":4},{"info":"compute binary expreesion, left_input=3062, right_input=7230, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=7230","layer":3},{"info":"number node, value=2379","layer":4},{"info":"number node, value=4184","layer":4},{"info":"compute binary expreesion, left_input=2379, right_input=4184, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=4184","layer":3},{"info":"compute binary expreesion, left_input=7230, right_input=4184, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=9989","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=9989, 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 = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⪲⇎(⪎⋱⫍770⩷∴⪎⋱⫍2349⨳⩥⨓⪎⋱⫍30A1+⇶⊼⪎⋱⫍635)⪛((⪎⋱⫍1517↺⪎⋱⫍33A2)⋳⪒(⪎⋱⫍1110↺⪎⋱⫍1B9B))=NaN","reverse_text":"NaN=⪲⇎(⪎⋱⫍770⩷∴⪎⋱⫍2349⨳⩥⨓⪎⋱⫍30A1+⇶⊼⪎⋱⫍635)⪛((⪎⋱⫍1517↺⪎⋱⫍33A2)⋳⪒(⪎⋱⫍1110↺⪎⋱⫍1B9B))","cot":[{"info":"⪎⋱⫍770⩷∴⪎⋱⫍2349=⪎⋱⫍-34AB","layer":3},{"info":"⪎⋱⫍30A1+⇶⊼⪎⋱⫍635=NaN","layer":3},{"info":"⪎⋱⫍-34AB⨳⩥⨓NaN=NaN","layer":2},{"info":"⪎⋱⫍1517↺⪎⋱⫍33A2=⪎⋱⫍33A2","layer":3},{"info":"⪎⋱⫍1110↺⪎⋱⫍1B9B=⪎⋱⫍1B9B","layer":3},{"info":"⪎⋱⫍33A2⋳⪒⪎⋱⫍1B9B=⪎⋱⫍4715","layer":2},{"info":"NaN⪛⪎⋱⫍4715=NaN","layer":1},{"info":"⪲⇎NaN=NaN","layer":0}]}
{"id":103,"expression_no_base_symbol":"(↯⪼((⫛⫱⨽$3382$)⨸⪁$1323$≎⊠⪸$1593$))+(($3397$≣⋋)+⇶⊼($6123$⪄$2870$))∀⇚≩(⊥($4867$*$6252$))","expression":"(↯⪼((⫛⫱⨽⪎⋱⫍1702)⨸⪁⪎⋱⫍7AA≎⊠⪸⪎⋱⫍957))+((⪎⋱⫍1714≣⋋)+⇶⊼(⪎⋱⫍2A30⪄⪎⋱⫍13CA))∀⇚≩(⊥(⪎⋱⫍22A5*⪎⋱⫍2ACC))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":7206,"operation_count":11,"complexity_ratio":655.0909090909091,"tree":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":3382,"base":13}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1323,"base":13},"right_expr":{"type":"numeric_atoms","value":1593,"base":13}}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":3397,"base":13}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":6123,"base":13},"right_expr":{"type":"numeric_atoms","value":2870,"base":13}}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":4867,"base":13},"right_expr":{"type":"numeric_atoms","value":6252,"base":13}}}}},"used_operators":["W4YGzv6Whe","8jW3W4yZS5","g55IO6H4Gj","DlLNRPXxWL","bJkvcejdHO","LRNGc0VcxI","TpPTUOHfaN","Tcnh7f0tEr","SUmda5xLS4","Q3PJZHRvZv","9HNa5Wba9A"],"dependent_operators":["eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","W4YGzv6Whe","rGHVDoGpnC","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","X99M06cbEe","AHs5Up7iyr","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","fu6greOZ01","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3382","layer":4},{"info":"compute unary expreesion, input=3382, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=1323","layer":4},{"info":"number node, value=1593","layer":4},{"info":"compute binary expreesion, left_input=1323, right_input=1593, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=342184","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=342184, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=684368","layer":2},{"info":"compute unary expreesion, input=684368, 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=3397","layer":4},{"info":"compute unary expreesion, input=3397, 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=6123","layer":4},{"info":"number node, value=2870","layer":4},{"info":"compute binary expreesion, left_input=6123, right_input=2870, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-913773","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-913773, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=4867","layer":4},{"info":"number node, value=6252","layer":4},{"info":"compute binary expreesion, left_input=4867, right_input=6252, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=30428484","layer":3},{"info":"compute unary expreesion, input=30428484, 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 = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-21, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":13,"result_base":13,"text":"(↯⪼((⫛⫱⨽⪎⋱⫍1702)⨸⪁⪎⋱⫍7AA≎⊠⪸⪎⋱⫍957))+((⪎⋱⫍1714≣⋋)+⇶⊼(⪎⋱⫍2A30⪄⪎⋱⫍13CA))∀⇚≩(⊥(⪎⋱⫍22A5*⪎⋱⫍2ACC))=NaN","reverse_text":"NaN=(↯⪼((⫛⫱⨽⪎⋱⫍1702)⨸⪁⪎⋱⫍7AA≎⊠⪸⪎⋱⫍957))+((⪎⋱⫍1714≣⋋)+⇶⊼(⪎⋱⫍2A30⪄⪎⋱⫍13CA))∀⇚≩(⊥(⪎⋱⫍22A5*⪎⋱⫍2ACC))","cot":[{"info":"⫛⫱⨽⪎⋱⫍1702=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍7AA≎⊠⪸⪎⋱⫍957=⪎⋱⫍BC99B","layer":3},{"info":"⪎⋱⫍0⨸⪁⪎⋱⫍BC99B=⪎⋱⫍1AC669","layer":2},{"info":"↯⪼⪎⋱⫍1AC669=⪎⋱⫍-18","layer":1},{"info":"⪎⋱⫍1714≣⋋=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍2A30⪄⪎⋱⫍13CA=⪎⋱⫍-25CBC3","layer":3},{"info":"⪎⋱⫍0+⇶⊼⪎⋱⫍-25CBC3=NaN","layer":2},{"info":"⪎⋱⫍22A5*⪎⋱⫍2ACC=⪎⋱⫍63C5028","layer":3},{"info":"⊥⪎⋱⫍63C5028=NaN","layer":2},{"info":"NaN∀⇚≩NaN=NaN","layer":1},{"info":"⪎⋱⫍-18+NaN=NaN","layer":0}]}
{"id":104,"expression_no_base_symbol":"≉($1964$⇷$2523$⩚⊴⇥($2540$⨐⩸⫘$1189$)∲⫓(↥$6496$)⋝⋈⪟$1791$∼$1618$)","expression":"≉(⪎⋱⫍B81⇷⪎⋱⫍11C1⩚⊴⇥(⪎⋱⫍1205⨐⩸⫘⪎⋱⫍706)∲⫓(↥⪎⋱⫍2C59)⋝⋈⪟⪎⋱⫍A7A∼⪎⋱⫍976)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":27676,"operation_count":8,"complexity_ratio":3459.5,"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":1964,"base":13},"right_expr":{"type":"numeric_atoms","value":2523,"base":13}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2540,"base":13},"right_expr":{"type":"numeric_atoms","value":1189,"base":13}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":6496,"base":13}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1791,"base":13},"right_expr":{"type":"numeric_atoms","value":1618,"base":13}}}}},"used_operators":["e1ybzncUwg","i8ToyICDmI","NTOWxs364D","mp7IySMOzn","fu6greOZ01","2DDjHMKMc0","A8NUZmVepG","DyGG3AbaNP"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1964","layer":4},{"info":"number node, value=2523","layer":4},{"info":"compute binary expreesion, left_input=1964, right_input=2523, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=5046","layer":3},{"info":"number node, value=2540","layer":4},{"info":"number node, value=1189","layer":4},{"info":"compute binary expreesion, left_input=2540, right_input=1189, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=5046, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":2},{"info":"number node, value=6496","layer":4},{"info":"compute unary expreesion, input=6496, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=19","layer":3},{"info":"number node, value=1791","layer":4},{"info":"number node, value=1618","layer":4},{"info":"compute binary expreesion, left_input=1791, right_input=1618, 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=19, 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 = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"≉(⪎⋱⫍B81⇷⪎⋱⫍11C1⩚⊴⇥(⪎⋱⫍1205⨐⩸⫘⪎⋱⫍706)∲⫓(↥⪎⋱⫍2C59)⋝⋈⪟⪎⋱⫍A7A∼⪎⋱⫍976)=NaN","reverse_text":"NaN=≉(⪎⋱⫍B81⇷⪎⋱⫍11C1⩚⊴⇥(⪎⋱⫍1205⨐⩸⫘⪎⋱⫍706)∲⫓(↥⪎⋱⫍2C59)⋝⋈⪟⪎⋱⫍A7A∼⪎⋱⫍976)","cot":[{"info":"⪎⋱⫍B81⇷⪎⋱⫍11C1=⪎⋱⫍23B2","layer":3},{"info":"⪎⋱⫍1205⨐⩸⫘⪎⋱⫍706=NaN","layer":3},{"info":"⪎⋱⫍23B2⩚⊴⇥NaN=NaN","layer":2},{"info":"↥⪎⋱⫍2C59=⪎⋱⫍16","layer":3},{"info":"⪎⋱⫍A7A∼⪎⋱⫍976=NaN","layer":3},{"info":"⪎⋱⫍16⋝⋈⪟NaN=NaN","layer":2},{"info":"NaN∲⫓NaN=NaN","layer":1},{"info":"≉NaN=NaN","layer":0}]}
{"id":105,"expression_no_base_symbol":"⊄⩳↩(($2512$⊪)⨸⪁($3516$⋷$3570$))∀⇚≩(($4732$⪐)↺($4868$⋫))","expression":"⊄⩳↩((⪎⋱⫍11B3⊪)⨸⪁(⪎⋱⫍17A6⋷⪎⋱⫍1818))∀⇚≩((⪎⋱⫍2200⪐)↺(⪎⋱⫍22A6⋫))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":55650,"operation_count":8,"complexity_ratio":6956.25,"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":2512,"base":13}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":3516,"base":13},"right_expr":{"type":"numeric_atoms","value":3570,"base":13}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":4732,"base":13}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":4868,"base":13}}}}},"used_operators":["8w2t5hMYqp","LRNGc0VcxI","g55IO6H4Gj","zVYPLywUTj","23Mk6UjR3U","7j4O788W3g","eH2TOUuTDT","JL8yIekQnl"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","W4YGzv6Whe","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2512","layer":4},{"info":"compute unary expreesion, input=2512, 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=3516","layer":4},{"info":"number node, value=3570","layer":4},{"info":"compute binary expreesion, left_input=3516, right_input=3570, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=3624","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=3624, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=7248","layer":2},{"info":"number node, value=4732","layer":4},{"info":"compute unary expreesion, input=4732, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=9464","layer":3},{"info":"number node, value=4868","layer":4},{"info":"compute unary expreesion, input=4868, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=4868","layer":3},{"info":"compute binary expreesion, left_input=9464, right_input=4868, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=4868","layer":2},{"info":"compute binary expreesion, left_input=7248, right_input=4868, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⊄⩳↩((⪎⋱⫍11B3⊪)⨸⪁(⪎⋱⫍17A6⋷⪎⋱⫍1818))∀⇚≩((⪎⋱⫍2200⪐)↺(⪎⋱⫍22A6⋫))=NaN","reverse_text":"NaN=⊄⩳↩((⪎⋱⫍11B3⊪)⨸⪁(⪎⋱⫍17A6⋷⪎⋱⫍1818))∀⇚≩((⪎⋱⫍2200⪐)↺(⪎⋱⫍22A6⋫))","cot":[{"info":"⪎⋱⫍11B3⊪=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍17A6⋷⪎⋱⫍1818=⪎⋱⫍185A","layer":3},{"info":"⪎⋱⫍0⨸⪁⪎⋱⫍185A=⪎⋱⫍33B7","layer":2},{"info":"⪎⋱⫍2200⪐=⪎⋱⫍4400","layer":3},{"info":"⪎⋱⫍22A6⋫=⪎⋱⫍22A6","layer":3},{"info":"⪎⋱⫍4400↺⪎⋱⫍22A6=⪎⋱⫍22A6","layer":2},{"info":"⪎⋱⫍33B7∀⇚≩⪎⋱⫍22A6=NaN","layer":1},{"info":"⊄⩳↩NaN=NaN","layer":0}]}
{"id":106,"expression_no_base_symbol":"(⨵≀≌$1686$)⫥∨⫟($7787$⪄$1775$)⊭↱($1444$⨪↰⇹$1919$⨸⪁(⇁⨣⪵$6499$))⩨(($1905$⫌⩹⨱)⪢($1760$⋷$5755$)⪐)","expression":"(⨵≀≌⪎⋱⫍9C9)⫥∨⫟(⪎⋱⫍3710⪄⪎⋱⫍A67)⊭↱(⪎⋱⫍871⨪↰⇹⪎⋱⫍B48⨸⪁(⇁⨣⪵⪎⋱⫍2C5C))⩨((⪎⋱⫍B37⫌⩹⨱)⪢(⪎⋱⫍A55⋷⪎⋱⫍2809)⪐)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":11472,"operation_count":12,"complexity_ratio":956.0,"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":1686,"base":13}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":7787,"base":13},"right_expr":{"type":"numeric_atoms","value":1775,"base":13}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1444,"base":13},"right_expr":{"type":"numeric_atoms","value":1919,"base":13}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":6499,"base":13}}}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":1905,"base":13}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1760,"base":13},"right_expr":{"type":"numeric_atoms","value":5755,"base":13}}}}},"used_operators":["2DlMacCsIx","COABgblf1C","KYD54nUTWz","srAu1WTS94","SUmda5xLS4","g55IO6H4Gj","tmPS8pqC7x","inkyxCbjAn","eH2TOUuTDT","dWAJyo7jo9","EBcxylXtPf","23Mk6UjR3U"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","rJVOvQCfKK","B5M0gjZbta","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1686","layer":4},{"info":"compute unary expreesion, input=1686, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-5058","layer":3},{"info":"number node, value=7787","layer":4},{"info":"number node, value=1775","layer":4},{"info":"compute binary expreesion, left_input=7787, right_input=1775, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-1155665","layer":3},{"info":"compute binary expreesion, left_input=-5058, right_input=-1155665, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=1444","layer":4},{"info":"number node, value=1919","layer":4},{"info":"compute binary expreesion, left_input=1444, right_input=1919, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1444","layer":3},{"info":"number node, value=6499","layer":4},{"info":"compute unary expreesion, input=6499, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1444, 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=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=1905","layer":4},{"info":"compute unary expreesion, input=1905, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=5211","layer":3},{"info":"number node, value=1760","layer":4},{"info":"number node, value=5755","layer":4},{"info":"compute binary expreesion, left_input=1760, right_input=5755, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=9750","layer":3},{"info":"compute binary expreesion, left_input=5211, right_input=9750, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = 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=nan, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⨵≀≌⪎⋱⫍9C9)⫥∨⫟(⪎⋱⫍3710⪄⪎⋱⫍A67)⊭↱(⪎⋱⫍871⨪↰⇹⪎⋱⫍B48⨸⪁(⇁⨣⪵⪎⋱⫍2C5C))⩨((⪎⋱⫍B37⫌⩹⨱)⪢(⪎⋱⫍A55⋷⪎⋱⫍2809)⪐)=NaN","reverse_text":"NaN=(⨵≀≌⪎⋱⫍9C9)⫥∨⫟(⪎⋱⫍3710⪄⪎⋱⫍A67)⊭↱(⪎⋱⫍871⨪↰⇹⪎⋱⫍B48⨸⪁(⇁⨣⪵⪎⋱⫍2C5C))⩨((⪎⋱⫍B37⫌⩹⨱)⪢(⪎⋱⫍A55⋷⪎⋱⫍2809)⪐)","cot":[{"info":"⨵≀≌⪎⋱⫍9C9=⪎⋱⫍-23C1","layer":3},{"info":"⪎⋱⫍3710⪄⪎⋱⫍A67=⪎⋱⫍-316034","layer":3},{"info":"⪎⋱⫍-23C1⫥∨⫟⪎⋱⫍-316034=NaN","layer":2},{"info":"⪎⋱⫍871⨪↰⇹⪎⋱⫍B48=⪎⋱⫍871","layer":3},{"info":"⇁⨣⪵⪎⋱⫍2C5C=NaN","layer":3},{"info":"⪎⋱⫍871⨸⪁NaN=NaN","layer":2},{"info":"NaN⊭↱NaN=NaN","layer":1},{"info":"⪎⋱⫍B37⫌⩹⨱=⪎⋱⫍24AB","layer":3},{"info":"⪎⋱⫍A55⋷⪎⋱⫍2809=⪎⋱⫍4590","layer":3},{"info":"⪎⋱⫍24AB⪢⪎⋱⫍4590=NaN","layer":2},{"info":"NaN⪐=NaN","layer":1},{"info":"NaN⩨NaN=NaN","layer":0}]}
{"id":107,"expression_no_base_symbol":"($9088$⋥≓≎$2336$⊭↱($1339$+$2199$))≎⊠⪸($1164$⫥∨⫟$7955$)⨓($1426$+⇶⊼$1459$)+⇶⊼(⨞⊢$5350$⨐⩸⫘$4606$)⨰(($1196$≦≮≮)⨁⊸⫻)","expression":"(⪎⋱⫍41A1⋥≓≎⪎⋱⫍10A9⊭↱(⪎⋱⫍7C0+⪎⋱⫍1002))≎⊠⪸(⪎⋱⫍6B7⫥∨⫟⪎⋱⫍380C)⨓(⪎⋱⫍859+⇶⊼⪎⋱⫍883)+⇶⊼(⨞⊢⪎⋱⫍2587⨐⩸⫘⪎⋱⫍2134)⨰((⪎⋱⫍710≦≮≮)⨁⊸⫻)","highest_n_order":5,"priority_hierarchical_complexity":7,"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":9088,"base":13},"right_expr":{"type":"numeric_atoms","value":2336,"base":13}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1339,"base":13},"right_expr":{"type":"numeric_atoms","value":2199,"base":13}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1164,"base":13},"right_expr":{"type":"numeric_atoms","value":7955,"base":13}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1426,"base":13},"right_expr":{"type":"numeric_atoms","value":1459,"base":13}}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":5350,"base":13},"right_expr":{"type":"numeric_atoms","value":4606,"base":13}}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":1196,"base":13}}}}},"used_operators":["TpPTUOHfaN","bJkvcejdHO","COABgblf1C","Qy55tPpLXF","W4YGzv6Whe","3ViojmjbAp","KYD54nUTWz","eewbuw0ToL","xUOZtlo3hN","fu6greOZ01","glklzrTFfD","D4vGDi5EA2"],"dependent_operators":["AHs5Up7iyr","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=9088","layer":4},{"info":"number node, value=2336","layer":4},{"info":"compute binary expreesion, left_input=9088, right_input=2336, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-4383","layer":3},{"info":"number node, value=1339","layer":4},{"info":"number node, value=2199","layer":4},{"info":"compute binary expreesion, left_input=1339, right_input=2199, op_id = W4YGzv6Whe binary_op_definition= 'None', output=3538","layer":3},{"info":"compute binary expreesion, left_input=-4383, right_input=3538, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=15847","layer":2},{"info":"number node, value=1164","layer":4},{"info":"number node, value=7955","layer":4},{"info":"compute binary expreesion, left_input=1164, right_input=7955, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=1426","layer":4},{"info":"number node, value=1459","layer":4},{"info":"compute binary expreesion, left_input=1426, right_input=1459, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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 = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=15847, 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=5350","layer":4},{"info":"number node, value=4606","layer":4},{"info":"compute binary expreesion, left_input=5350, right_input=4606, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=nan","layer":2},{"info":"number node, value=1196","layer":4},{"info":"compute unary expreesion, input=1196, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-3588","layer":3},{"info":"compute unary expreesion, input=-3588, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=-7176","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-7176, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":1},{"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":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍41A1⋥≓≎⪎⋱⫍10A9⊭↱(⪎⋱⫍7C0+⪎⋱⫍1002))≎⊠⪸(⪎⋱⫍6B7⫥∨⫟⪎⋱⫍380C)⨓(⪎⋱⫍859+⇶⊼⪎⋱⫍883)+⇶⊼(⨞⊢⪎⋱⫍2587⨐⩸⫘⪎⋱⫍2134)⨰((⪎⋱⫍710≦≮≮)⨁⊸⫻)=NaN","reverse_text":"NaN=(⪎⋱⫍41A1⋥≓≎⪎⋱⫍10A9⊭↱(⪎⋱⫍7C0+⪎⋱⫍1002))≎⊠⪸(⪎⋱⫍6B7⫥∨⫟⪎⋱⫍380C)⨓(⪎⋱⫍859+⇶⊼⪎⋱⫍883)+⇶⊼(⨞⊢⪎⋱⫍2587⨐⩸⫘⪎⋱⫍2134)⨰((⪎⋱⫍710≦≮≮)⨁⊸⫻)","cot":[{"info":"⪎⋱⫍41A1⋥≓≎⪎⋱⫍10A9=⪎⋱⫍-1CC2","layer":3},{"info":"⪎⋱⫍7C0+⪎⋱⫍1002=⪎⋱⫍17C2","layer":3},{"info":"⪎⋱⫍-1CC2⊭↱⪎⋱⫍17C2=⪎⋱⫍72A0","layer":2},{"info":"⪎⋱⫍6B7⫥∨⫟⪎⋱⫍380C=NaN","layer":3},{"info":"⪎⋱⫍859+⇶⊼⪎⋱⫍883=NaN","layer":3},{"info":"NaN⨓NaN=NaN","layer":2},{"info":"⪎⋱⫍72A0≎⊠⪸NaN=⪎⋱⫍52","layer":1},{"info":"⪎⋱⫍2587⨐⩸⫘⪎⋱⫍2134=NaN","layer":3},{"info":"⨞⊢NaN=NaN","layer":2},{"info":"⪎⋱⫍710≦≮≮=⪎⋱⫍-1830","layer":3},{"info":"⪎⋱⫍-1830⨁⊸⫻=⪎⋱⫍-3360","layer":2},{"info":"NaN⨰⪎⋱⫍-3360=NaN","layer":1},{"info":"⪎⋱⫍52+⇶⊼NaN=NaN","layer":0}]}
{"id":108,"expression_no_base_symbol":"(⨰⫟⨤($3683$↬$6225$≫≃))⨓(($1417$≭$2863$*($4586$⇼⇔∾$3160$))⨎(⊙↵-$1991$⪢$4466$))","expression":"(⨰⫟⨤(⪎⋱⫍18A4↬⪎⋱⫍2AAB≫≃))⨓((⪎⋱⫍850≭⪎⋱⫍13C3*(⪎⋱⫍211A⇼⇔∾⪎⋱⫍1591))⨎(⊙↵-⪎⋱⫍BA2⪢⪎⋱⫍2057))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":4542,"operation_count":10,"complexity_ratio":454.2,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":3683,"base":13},"right_expr":{"type":"numeric_atoms","value":6225,"base":13}}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1417,"base":13},"right_expr":{"type":"numeric_atoms","value":2863,"base":13}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":4586,"base":13},"right_expr":{"type":"numeric_atoms","value":3160,"base":13}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1991,"base":13},"right_expr":{"type":"numeric_atoms","value":4466,"base":13}}}}},"used_operators":["3ViojmjbAp","Tw270M8GLb","X99M06cbEe","B5M0gjZbta","rJVOvQCfKK","9HNa5Wba9A","rxpJgHHUmx","tifHPKVTfV","oWn0xqSxBt","dWAJyo7jo9"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rGHVDoGpnC","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=3683","layer":4},{"info":"number node, value=6225","layer":4},{"info":"compute binary expreesion, left_input=3683, right_input=6225, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":1},{"info":"number node, value=1417","layer":4},{"info":"number node, value=2863","layer":4},{"info":"compute binary expreesion, left_input=1417, right_input=2863, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=4586","layer":4},{"info":"number node, value=3160","layer":4},{"info":"compute binary expreesion, left_input=4586, right_input=3160, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-1426","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1426, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=1991","layer":4},{"info":"number node, value=4466","layer":4},{"info":"compute binary expreesion, left_input=1991, right_input=4466, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = 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 = 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 = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⨰⫟⨤(⪎⋱⫍18A4↬⪎⋱⫍2AAB≫≃))⨓((⪎⋱⫍850≭⪎⋱⫍13C3*(⪎⋱⫍211A⇼⇔∾⪎⋱⫍1591))⨎(⊙↵-⪎⋱⫍BA2⪢⪎⋱⫍2057))=NaN","reverse_text":"NaN=(⨰⫟⨤(⪎⋱⫍18A4↬⪎⋱⫍2AAB≫≃))⨓((⪎⋱⫍850≭⪎⋱⫍13C3*(⪎⋱⫍211A⇼⇔∾⪎⋱⫍1591))⨎(⊙↵-⪎⋱⫍BA2⪢⪎⋱⫍2057))","cot":[{"info":"⪎⋱⫍18A4↬⪎⋱⫍2AAB=NaN","layer":3},{"info":"NaN≫≃=NaN","layer":2},{"info":"⨰⫟⨤NaN=NaN","layer":1},{"info":"⪎⋱⫍850≭⪎⋱⫍13C3=NaN","layer":3},{"info":"⪎⋱⫍211A⇼⇔∾⪎⋱⫍1591=⪎⋱⫍-859","layer":3},{"info":"NaN*⪎⋱⫍-859=NaN","layer":2},{"info":"⪎⋱⫍BA2⪢⪎⋱⫍2057=NaN","layer":3},{"info":"⊙↵-NaN=NaN","layer":2},{"info":"NaN⨎NaN=NaN","layer":1},{"info":"NaN⨓NaN=NaN","layer":0}]}
{"id":109,"expression_no_base_symbol":"((⩦⩻⨪(↩$1358$))⨪↰⇹(($5074$⊭∹↮)∑⇟⊟($1232$⪠⩆⊳)))⨟⋌⩍((-$3088$⨟⋌⩍$2562$)⊪)","expression":"((⩦⩻⨪(↩⪎⋱⫍806))⨪↰⇹((⪎⋱⫍2404⊭∹↮)∑⇟⊟(⪎⋱⫍73A⪠⩆⊳)))⨟⋌⩍((-⪎⋱⫍1537⨟⋌⩍⪎⋱⫍1221)⊪)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":8132,"operation_count":10,"complexity_ratio":813.2,"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":1358,"base":13}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":5074,"base":13}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":1232,"base":13}}}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":3088,"base":13},"right_expr":{"type":"numeric_atoms","value":2562,"base":13}}}}},"used_operators":["rGHVDoGpnC","tmPS8pqC7x","2td37pGCOC","jLgFTUHLKL","U7g4x0WXJJ","xNBdhnnwKq","JLbD19bQDL","zVYPLywUTj","t8gj7n24qd"],"dependent_operators":["Tcnh7f0tEr","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1358","layer":4},{"info":"compute unary expreesion, input=1358, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-8084","layer":3},{"info":"compute unary expreesion, input=-8084, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=-8084","layer":2},{"info":"number node, value=5074","layer":4},{"info":"compute unary expreesion, input=5074, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=10148","layer":3},{"info":"number node, value=1232","layer":4},{"info":"compute unary expreesion, input=1232, 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=10148, right_input=0, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=10148","layer":2},{"info":"compute binary expreesion, left_input=-8084, right_input=10148, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=-8084","layer":1},{"info":"number node, value=3088","layer":4},{"info":"number node, value=2562","layer":4},{"info":"compute binary expreesion, left_input=3088, right_input=2562, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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 = t8gj7n24qd, unary_op_definition = 'None', 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=-8084, 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":13,"result_base":13,"text":"((⩦⩻⨪(↩⪎⋱⫍806))⨪↰⇹((⪎⋱⫍2404⊭∹↮)∑⇟⊟(⪎⋱⫍73A⪠⩆⊳)))⨟⋌⩍((-⪎⋱⫍1537⨟⋌⩍⪎⋱⫍1221)⊪)=NaN","reverse_text":"NaN=((⩦⩻⨪(↩⪎⋱⫍806))⨪↰⇹((⪎⋱⫍2404⊭∹↮)∑⇟⊟(⪎⋱⫍73A⪠⩆⊳)))⨟⋌⩍((-⪎⋱⫍1537⨟⋌⩍⪎⋱⫍1221)⊪)","cot":[{"info":"↩⪎⋱⫍806=⪎⋱⫍-38AB","layer":3},{"info":"⩦⩻⨪⪎⋱⫍-38AB=⪎⋱⫍-38AB","layer":2},{"info":"⪎⋱⫍2404⊭∹↮=⪎⋱⫍4808","layer":3},{"info":"⪎⋱⫍73A⪠⩆⊳=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍4808∑⇟⊟⪎⋱⫍0=⪎⋱⫍4808","layer":2},{"info":"⪎⋱⫍-38AB⨪↰⇹⪎⋱⫍4808=⪎⋱⫍-38AB","layer":1},{"info":"⪎⋱⫍1537⨟⋌⩍⪎⋱⫍1221=NaN","layer":3},{"info":"-NaN=NaN","layer":2},{"info":"NaN⊪=NaN","layer":1},{"info":"⪎⋱⫍-38AB⨟⋌⩍NaN=NaN","layer":0}]}
{"id":110,"expression_no_base_symbol":"(⨵≀≌(⨰⫟⨤($1366$⪨≂$1655$)))⪒(↽≂$6003$⪢$1544$)∑⇟⊟(($6985$⊭↱$6954$)∑⇟⊟($1332$⨵⪆$9523$))","expression":"(⨵≀≌(⨰⫟⨤(⪎⋱⫍811⪨≂⪎⋱⫍9A4)))⪒(↽≂⪎⋱⫍296A⪢⪎⋱⫍91A)∑⇟⊟((⪎⋱⫍3244⊭↱⪎⋱⫍321C)∑⇟⊟(⪎⋱⫍7B6⨵⪆⪎⋱⫍4447))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":31236,"operation_count":10,"complexity_ratio":3123.6,"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":1366,"base":13},"right_expr":{"type":"numeric_atoms","value":1655,"base":13}}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":6003,"base":13},"right_expr":{"type":"numeric_atoms","value":1544,"base":13}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":6985,"base":13},"right_expr":{"type":"numeric_atoms","value":6954,"base":13}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1332,"base":13},"right_expr":{"type":"numeric_atoms","value":9523,"base":13}}}}},"used_operators":["f6k1SAg4EE","srAu1WTS94","Tw270M8GLb","sdazOOVcIp","U7g4x0WXJJ","u6S6b8DprG","dWAJyo7jo9","COABgblf1C","2DQ55sFlQl"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1366","layer":4},{"info":"number node, value=1655","layer":4},{"info":"compute binary expreesion, left_input=1366, right_input=1655, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-476","layer":3},{"info":"compute unary expreesion, input=-476, 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 = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=nan","layer":1},{"info":"number node, value=6003","layer":4},{"info":"number node, value=1544","layer":4},{"info":"compute binary expreesion, left_input=6003, right_input=1544, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=nan","layer":2},{"info":"number node, value=6985","layer":4},{"info":"number node, value=6954","layer":4},{"info":"compute binary expreesion, left_input=6985, right_input=6954, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-57","layer":3},{"info":"number node, value=1332","layer":4},{"info":"number node, value=9523","layer":4},{"info":"compute binary expreesion, left_input=1332, right_input=9523, 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=-57, right_input=160, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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 = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⨵≀≌(⨰⫟⨤(⪎⋱⫍811⪨≂⪎⋱⫍9A4)))⪒(↽≂⪎⋱⫍296A⪢⪎⋱⫍91A)∑⇟⊟((⪎⋱⫍3244⊭↱⪎⋱⫍321C)∑⇟⊟(⪎⋱⫍7B6⨵⪆⪎⋱⫍4447))=NaN","reverse_text":"NaN=(⨵≀≌(⨰⫟⨤(⪎⋱⫍811⪨≂⪎⋱⫍9A4)))⪒(↽≂⪎⋱⫍296A⪢⪎⋱⫍91A)∑⇟⊟((⪎⋱⫍3244⊭↱⪎⋱⫍321C)∑⇟⊟(⪎⋱⫍7B6⨵⪆⪎⋱⫍4447))","cot":[{"info":"⪎⋱⫍811⪨≂⪎⋱⫍9A4=⪎⋱⫍-2A8","layer":3},{"info":"⨰⫟⨤⪎⋱⫍-2A8=NaN","layer":2},{"info":"⨵≀≌NaN=NaN","layer":1},{"info":"⪎⋱⫍296A⪢⪎⋱⫍91A=NaN","layer":3},{"info":"↽≂NaN=NaN","layer":2},{"info":"⪎⋱⫍3244⊭↱⪎⋱⫍321C=⪎⋱⫍-45","layer":3},{"info":"⪎⋱⫍7B6⨵⪆⪎⋱⫍4447=⪎⋱⫍C4","layer":3},{"info":"⪎⋱⫍-45∑⇟⊟⪎⋱⫍C4=NaN","layer":2},{"info":"NaN∑⇟⊟NaN=NaN","layer":1},{"info":"NaN⪒NaN=NaN","layer":0}]}
{"id":111,"expression_no_base_symbol":"$1762$≧⫂∧$4754$⨸⪁(⊄⩳↩$1260$)⫡⨏((⪲⇎$1072$)⨵⪆$4340$⪛$4274$)⨵⪆(↽≂(≉$2681$↬$1686$))","expression":"⪎⋱⫍A57≧⫂∧⪎⋱⫍2219⨸⪁(⊄⩳↩⪎⋱⫍75C)⫡⨏((⪲⇎⪎⋱⫍646)⨵⪆⪎⋱⫍1C8B⪛⪎⋱⫍1C3A)⨵⪆(↽≂(≉⪎⋱⫍12B3↬⪎⋱⫍9C9))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":27,"operation_count":11,"complexity_ratio":2.4545454545454546,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1762,"base":13},"right_expr":{"type":"numeric_atoms","value":4754,"base":13}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1260,"base":13}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1072,"base":13}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":4340,"base":13},"right_expr":{"type":"numeric_atoms","value":4274,"base":13}}}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2681,"base":13},"right_expr":{"type":"numeric_atoms","value":1686,"base":13}}}}},"used_operators":["2DQ55sFlQl","QMFrweE19q","g55IO6H4Gj","Ph9nP6C5qx","8w2t5hMYqp","XPYlsWDdGa","uFcxV4UQCh","u6S6b8DprG","e1ybzncUwg","B5M0gjZbta"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC"],"result":"⪎⋱⫍C4","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1762","layer":4},{"info":"number node, value=4754","layer":4},{"info":"compute binary expreesion, left_input=1762, right_input=4754, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=4281","layer":3},{"info":"number node, value=1260","layer":4},{"info":"compute unary expreesion, input=1260, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-3780","layer":3},{"info":"compute binary expreesion, left_input=4281, right_input=-3780, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=1002","layer":2},{"info":"number node, value=1072","layer":4},{"info":"compute unary expreesion, input=1072, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=2144","layer":3},{"info":"number node, value=4340","layer":4},{"info":"number node, value=4274","layer":4},{"info":"compute binary expreesion, left_input=4340, right_input=4274, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=66","layer":3},{"info":"compute binary expreesion, left_input=2144, right_input=66, 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=1002, right_input=160, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=6113","layer":1},{"info":"number node, value=2681","layer":4},{"info":"number node, value=1686","layer":4},{"info":"compute binary expreesion, left_input=2681, right_input=1686, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=6113, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍A57≧⫂∧⪎⋱⫍2219⨸⪁(⊄⩳↩⪎⋱⫍75C)⫡⨏((⪲⇎⪎⋱⫍646)⨵⪆⪎⋱⫍1C8B⪛⪎⋱⫍1C3A)⨵⪆(↽≂(≉⪎⋱⫍12B3↬⪎⋱⫍9C9))=⪎⋱⫍C4","reverse_text":"⪎⋱⫍C4=⪎⋱⫍A57≧⫂∧⪎⋱⫍2219⨸⪁(⊄⩳↩⪎⋱⫍75C)⫡⨏((⪲⇎⪎⋱⫍646)⨵⪆⪎⋱⫍1C8B⪛⪎⋱⫍1C3A)⨵⪆(↽≂(≉⪎⋱⫍12B3↬⪎⋱⫍9C9))","cot":[{"info":"⪎⋱⫍A57≧⫂∧⪎⋱⫍2219=⪎⋱⫍1C44","layer":3},{"info":"⊄⩳↩⪎⋱⫍75C=⪎⋱⫍-194A","layer":3},{"info":"⪎⋱⫍1C44⨸⪁⪎⋱⫍-194A=⪎⋱⫍5C1","layer":2},{"info":"⪲⇎⪎⋱⫍646=⪎⋱⫍C8C","layer":3},{"info":"⪎⋱⫍1C8B⪛⪎⋱⫍1C3A=⪎⋱⫍51","layer":3},{"info":"⪎⋱⫍C8C⨵⪆⪎⋱⫍51=⪎⋱⫍C4","layer":2},{"info":"⪎⋱⫍5C1⫡⨏⪎⋱⫍C4=⪎⋱⫍2A23","layer":1},{"info":"⪎⋱⫍12B3↬⪎⋱⫍9C9=NaN","layer":3},{"info":"≉NaN=NaN","layer":2},{"info":"↽≂NaN=NaN","layer":1},{"info":"⪎⋱⫍2A23⨵⪆NaN=⪎⋱⫍C4","layer":0}]}
{"id":112,"expression_no_base_symbol":"($1561$↺$3661$⫸⊐$2389$⨟⋌⩍$1234$+(($5346$⨸⪁$4932$)⩠))⋝⋈⪟(∥⊫($3901$⩷∴$2833$)≹⇙⪍($1688$⨓$5362$))","expression":"(⪎⋱⫍931↺⪎⋱⫍1888⫸⊐⪎⋱⫍111A⨟⋌⩍⪎⋱⫍73C+((⪎⋱⫍2583⨸⪁⪎⋱⫍2325)⩠))⋝⋈⪟(∥⊫(⪎⋱⫍1A11⩷∴⪎⋱⫍139C)≹⇙⪍(⪎⋱⫍9CB⨓⪎⋱⫍2596))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":5428,"operation_count":11,"complexity_ratio":493.45454545454544,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1561,"base":13},"right_expr":{"type":"numeric_atoms","value":3661,"base":13}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2389,"base":13},"right_expr":{"type":"numeric_atoms","value":1234,"base":13}}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":5346,"base":13},"right_expr":{"type":"numeric_atoms","value":4932,"base":13}}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":3901,"base":13},"right_expr":{"type":"numeric_atoms","value":2833,"base":13}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1688,"base":13},"right_expr":{"type":"numeric_atoms","value":5362,"base":13}}}}},"used_operators":["2DDjHMKMc0","W4YGzv6Whe","mqXw5SEYmG","7j4O788W3g","rGHVDoGpnC","sJAwomhLZr","g55IO6H4Gj","P8v4zCKN1o","AHs5Up7iyr","9FxExcQeMw","3ViojmjbAp"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","rysDP5nf3Z","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1561","layer":4},{"info":"number node, value=3661","layer":4},{"info":"compute binary expreesion, left_input=1561, right_input=3661, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3661","layer":3},{"info":"number node, value=2389","layer":4},{"info":"number node, value=1234","layer":4},{"info":"compute binary expreesion, left_input=2389, right_input=1234, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=3661, 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=5346","layer":4},{"info":"number node, value=4932","layer":4},{"info":"compute binary expreesion, left_input=5346, right_input=4932, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=20556","layer":3},{"info":"compute unary expreesion, input=20556, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=3901","layer":4},{"info":"number node, value=2833","layer":4},{"info":"compute binary expreesion, left_input=3901, right_input=2833, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=2104","layer":3},{"info":"number node, value=1688","layer":4},{"info":"number node, value=5362","layer":4},{"info":"compute binary expreesion, left_input=1688, right_input=5362, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-5365","layer":3},{"info":"compute binary expreesion, left_input=2104, right_input=-5365, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=nan, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍931↺⪎⋱⫍1888⫸⊐⪎⋱⫍111A⨟⋌⩍⪎⋱⫍73C+((⪎⋱⫍2583⨸⪁⪎⋱⫍2325)⩠))⋝⋈⪟(∥⊫(⪎⋱⫍1A11⩷∴⪎⋱⫍139C)≹⇙⪍(⪎⋱⫍9CB⨓⪎⋱⫍2596))=NaN","reverse_text":"NaN=(⪎⋱⫍931↺⪎⋱⫍1888⫸⊐⪎⋱⫍111A⨟⋌⩍⪎⋱⫍73C+((⪎⋱⫍2583⨸⪁⪎⋱⫍2325)⩠))⋝⋈⪟(∥⊫(⪎⋱⫍1A11⩷∴⪎⋱⫍139C)≹⇙⪍(⪎⋱⫍9CB⨓⪎⋱⫍2596))","cot":[{"info":"⪎⋱⫍931↺⪎⋱⫍1888=⪎⋱⫍1888","layer":3},{"info":"⪎⋱⫍111A⨟⋌⩍⪎⋱⫍73C=NaN","layer":3},{"info":"⪎⋱⫍1888⫸⊐NaN=NaN","layer":2},{"info":"⪎⋱⫍2583⨸⪁⪎⋱⫍2325=⪎⋱⫍9483","layer":3},{"info":"⪎⋱⫍9483⩠=⪎⋱⫍0","layer":2},{"info":"NaN+⪎⋱⫍0=NaN","layer":1},{"info":"⪎⋱⫍1A11⩷∴⪎⋱⫍139C=⪎⋱⫍C5B","layer":3},{"info":"⪎⋱⫍9CB⨓⪎⋱⫍2596=⪎⋱⫍-2599","layer":3},{"info":"⪎⋱⫍C5B≹⇙⪍⪎⋱⫍-2599=NaN","layer":2},{"info":"∥⊫NaN=NaN","layer":1},{"info":"NaN⋝⋈⪟NaN=NaN","layer":0}]}
{"id":113,"expression_no_base_symbol":"($5813$≧⫂∧$1237$⊭↱$1381$∑⇟⊟$3982$)⇷($4244$↬$2919$⫩⊇)∸","expression":"(⪎⋱⫍2852≧⫂∧⪎⋱⫍742⊭↱⪎⋱⫍823∑⇟⊟⪎⋱⫍1A74)⇷(⪎⋱⫍1C16↬⪎⋱⫍1437⫩⊇)∸","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":195,"operation_count":7,"complexity_ratio":27.857142857142858,"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":5813,"base":13},"right_expr":{"type":"numeric_atoms","value":1237,"base":13}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1381,"base":13},"right_expr":{"type":"numeric_atoms","value":3982,"base":13}}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":4244,"base":13},"right_expr":{"type":"numeric_atoms","value":2919,"base":13}}}}},"used_operators":["o20kRiQErp","mp7IySMOzn","COABgblf1C","Ph9nP6C5qx","U7g4x0WXJJ","BjRHVeLaeN","B5M0gjZbta"],"dependent_operators":["tmPS8pqC7x","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC"],"result":"⪎⋱⫍108","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=5813","layer":4},{"info":"number node, value=1237","layer":4},{"info":"compute binary expreesion, left_input=5813, right_input=1237, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=764","layer":3},{"info":"number node, value=1381","layer":4},{"info":"number node, value=3982","layer":4},{"info":"compute binary expreesion, left_input=1381, right_input=3982, 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=764, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":2},{"info":"number node, value=4244","layer":4},{"info":"number node, value=2919","layer":4},{"info":"compute binary expreesion, left_input=4244, right_input=2919, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', 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 unary expreesion, input=nan, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍2852≧⫂∧⪎⋱⫍742⊭↱⪎⋱⫍823∑⇟⊟⪎⋱⫍1A74)⇷(⪎⋱⫍1C16↬⪎⋱⫍1437⫩⊇)∸=⪎⋱⫍108","reverse_text":"⪎⋱⫍108=(⪎⋱⫍2852≧⫂∧⪎⋱⫍742⊭↱⪎⋱⫍823∑⇟⊟⪎⋱⫍1A74)⇷(⪎⋱⫍1C16↬⪎⋱⫍1437⫩⊇)∸","cot":[{"info":"⪎⋱⫍2852≧⫂∧⪎⋱⫍742=⪎⋱⫍46A","layer":3},{"info":"⪎⋱⫍823∑⇟⊟⪎⋱⫍1A74=NaN","layer":3},{"info":"⪎⋱⫍46A⊭↱NaN=NaN","layer":2},{"info":"⪎⋱⫍1C16↬⪎⋱⫍1437=NaN","layer":3},{"info":"NaN⫩⊇=NaN","layer":2},{"info":"NaN⇷NaN=NaN","layer":1},{"info":"NaN∸=⪎⋱⫍108","layer":0}]}
{"id":114,"expression_no_base_symbol":"(($2485$⩚⊴⇥$3189$↛⩡⫤)⋥≓≎($2773$⫌⩹⨱)⋓($4181$⋝⋈⪟$1753$))⪛($4609$≧⫂∧$1890$≎⊠⪸($2730$⇼⇔∾$2807$)+($1317$⊘)⇷($1594$⋳⪒$3107$))","expression":"((⪎⋱⫍1192⩚⊴⇥⪎⋱⫍15B4↛⩡⫤)⋥≓≎(⪎⋱⫍1354⫌⩹⨱)⋓(⪎⋱⫍1B98⋝⋈⪟⪎⋱⫍A4B))⪛(⪎⋱⫍2137≧⫂∧⪎⋱⫍B25≎⊠⪸(⪎⋱⫍1320⇼⇔∾⪎⋱⫍137C)+(⪎⋱⫍7A4⊘)⇷(⪎⋱⫍958⋳⪒⪎⋱⫍1550))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":17841,"operation_count":14,"complexity_ratio":1274.357142857143,"tree":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2485,"base":13},"right_expr":{"type":"numeric_atoms","value":3189,"base":13}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":2773,"base":13}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":4181,"base":13},"right_expr":{"type":"numeric_atoms","value":1753,"base":13}}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":4609,"base":13},"right_expr":{"type":"numeric_atoms","value":1890,"base":13}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2730,"base":13},"right_expr":{"type":"numeric_atoms","value":2807,"base":13}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":1317,"base":13}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1594,"base":13},"right_expr":{"type":"numeric_atoms","value":3107,"base":13}}}}},"used_operators":["uFcxV4UQCh","Qy55tPpLXF","FU0Cs4j7VP","NTOWxs364D","T2fj7uvVaJ","EBcxylXtPf","2DDjHMKMc0","W4YGzv6Whe","bJkvcejdHO","Ph9nP6C5qx","tifHPKVTfV","mp7IySMOzn","gu96TGCTMs","12rbrZMWeM"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍52","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2485","layer":4},{"info":"number node, value=3189","layer":4},{"info":"compute binary expreesion, left_input=2485, right_input=3189, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-5795","layer":3},{"info":"compute unary expreesion, input=-5795, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-824774","layer":2},{"info":"number node, value=2773","layer":4},{"info":"compute unary expreesion, input=2773, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=6947","layer":3},{"info":"number node, value=4181","layer":4},{"info":"number node, value=1753","layer":4},{"info":"compute binary expreesion, left_input=4181, right_input=1753, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=4181","layer":3},{"info":"compute binary expreesion, left_input=6947, right_input=4181, op_id = T2fj7uvVaJ binary_op_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=-824774, 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=4609","layer":4},{"info":"number node, value=1890","layer":4},{"info":"compute binary expreesion, left_input=4609, right_input=1890, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1417","layer":3},{"info":"number node, value=2730","layer":4},{"info":"number node, value=2807","layer":4},{"info":"compute binary expreesion, left_input=2730, right_input=2807, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=77","layer":3},{"info":"compute binary expreesion, left_input=1417, right_input=77, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=366530","layer":2},{"info":"number node, value=1317","layer":4},{"info":"compute unary expreesion, input=1317, 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=1594","layer":4},{"info":"number node, value=3107","layer":4},{"info":"compute binary expreesion, left_input=1594, right_input=3107, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-206","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-206, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=366530, right_input=0, op_id = W4YGzv6Whe binary_op_definition= 'None', output=366530","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=366530, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=67","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍1192⩚⊴⇥⪎⋱⫍15B4↛⩡⫤)⋥≓≎(⪎⋱⫍1354⫌⩹⨱)⋓(⪎⋱⫍1B98⋝⋈⪟⪎⋱⫍A4B))⪛(⪎⋱⫍2137≧⫂∧⪎⋱⫍B25≎⊠⪸(⪎⋱⫍1320⇼⇔∾⪎⋱⫍137C)+(⪎⋱⫍7A4⊘)⇷(⪎⋱⫍958⋳⪒⪎⋱⫍1550))=⪎⋱⫍52","reverse_text":"⪎⋱⫍52=((⪎⋱⫍1192⩚⊴⇥⪎⋱⫍15B4↛⩡⫤)⋥≓≎(⪎⋱⫍1354⫌⩹⨱)⋓(⪎⋱⫍1B98⋝⋈⪟⪎⋱⫍A4B))⪛(⪎⋱⫍2137≧⫂∧⪎⋱⫍B25≎⊠⪸(⪎⋱⫍1320⇼⇔∾⪎⋱⫍137C)+(⪎⋱⫍7A4⊘)⇷(⪎⋱⫍958⋳⪒⪎⋱⫍1550))","cot":[{"info":"⪎⋱⫍1192⩚⊴⇥⪎⋱⫍15B4=⪎⋱⫍-283A","layer":3},{"info":"⪎⋱⫍-283A↛⩡⫤=⪎⋱⫍-22B542","layer":2},{"info":"⪎⋱⫍1354⫌⩹⨱=⪎⋱⫍3215","layer":3},{"info":"⪎⋱⫍1B98⋝⋈⪟⪎⋱⫍A4B=⪎⋱⫍1B98","layer":3},{"info":"⪎⋱⫍3215⋓⪎⋱⫍1B98=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍-22B542⋥≓≎⪎⋱⫍0=⪎⋱⫍52","layer":1},{"info":"⪎⋱⫍2137≧⫂∧⪎⋱⫍B25=⪎⋱⫍850","layer":3},{"info":"⪎⋱⫍1320⇼⇔∾⪎⋱⫍137C=⪎⋱⫍5C","layer":3},{"info":"⪎⋱⫍850≎⊠⪸⪎⋱⫍5C=⪎⋱⫍CAAA8","layer":2},{"info":"⪎⋱⫍7A4⊘=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍958⋳⪒⪎⋱⫍1550=⪎⋱⫍-12B","layer":3},{"info":"⪎⋱⫍0⇷⪎⋱⫍-12B=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍CAAA8+⪎⋱⫍0=⪎⋱⫍CAAA8","layer":1},{"info":"⪎⋱⫍52⪛⪎⋱⫍CAAA8=⪎⋱⫍52","layer":0}]}
{"id":115,"expression_no_base_symbol":"≤/($1633$⋳⪒$2615$)⪮%⊝($5345$+$5323$)≭($2239$⨪↰⇹$2916$-$2380$⋓$1273$)","expression":"≤/(⪎⋱⫍988⋳⪒⪎⋱⫍1262)⪮%⊝(⪎⋱⫍2582+⪎⋱⫍2566)≭(⪎⋱⫍1033⨪↰⇹⪎⋱⫍1434-⪎⋱⫍1111⋓⪎⋱⫍76C)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2272,"operation_count":8,"complexity_ratio":284.0,"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":1633,"base":13},"right_expr":{"type":"numeric_atoms","value":2615,"base":13}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":5345,"base":13},"right_expr":{"type":"numeric_atoms","value":5323,"base":13}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2239,"base":13},"right_expr":{"type":"numeric_atoms","value":2916,"base":13}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2380,"base":13},"right_expr":{"type":"numeric_atoms","value":1273,"base":13}}}}},"used_operators":["eLAdDNolq6","rxpJgHHUmx","IWmyXbctLI","12rbrZMWeM","W4YGzv6Whe","rysDP5nf3Z","tmPS8pqC7x","T2fj7uvVaJ"],"dependent_operators":["rysDP5nf3Z","AHs5Up7iyr","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1633","layer":4},{"info":"number node, value=2615","layer":4},{"info":"compute binary expreesion, left_input=1633, right_input=2615, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=364","layer":3},{"info":"number node, value=5345","layer":4},{"info":"number node, value=5323","layer":4},{"info":"compute binary expreesion, left_input=5345, right_input=5323, op_id = W4YGzv6Whe binary_op_definition= 'None', output=10668","layer":3},{"info":"compute binary expreesion, left_input=364, right_input=10668, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=1044","layer":2},{"info":"number node, value=2239","layer":4},{"info":"number node, value=2916","layer":4},{"info":"compute binary expreesion, left_input=2239, right_input=2916, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=2239","layer":3},{"info":"number node, value=2380","layer":4},{"info":"number node, value=1273","layer":4},{"info":"compute binary expreesion, left_input=2380, right_input=1273, op_id = T2fj7uvVaJ binary_op_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=2239, right_input=0, op_id = rysDP5nf3Z binary_op_definition= 'None', output=2239","layer":2},{"info":"compute binary expreesion, left_input=1044, right_input=2239, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"≤/(⪎⋱⫍988⋳⪒⪎⋱⫍1262)⪮%⊝(⪎⋱⫍2582+⪎⋱⫍2566)≭(⪎⋱⫍1033⨪↰⇹⪎⋱⫍1434-⪎⋱⫍1111⋓⪎⋱⫍76C)=NaN","reverse_text":"NaN=≤/(⪎⋱⫍988⋳⪒⪎⋱⫍1262)⪮%⊝(⪎⋱⫍2582+⪎⋱⫍2566)≭(⪎⋱⫍1033⨪↰⇹⪎⋱⫍1434-⪎⋱⫍1111⋓⪎⋱⫍76C)","cot":[{"info":"⪎⋱⫍988⋳⪒⪎⋱⫍1262=⪎⋱⫍220","layer":3},{"info":"⪎⋱⫍2582+⪎⋱⫍2566=⪎⋱⫍4B18","layer":3},{"info":"⪎⋱⫍220⪮%⊝⪎⋱⫍4B18=⪎⋱⫍624","layer":2},{"info":"⪎⋱⫍1033⨪↰⇹⪎⋱⫍1434=⪎⋱⫍1033","layer":3},{"info":"⪎⋱⫍1111⋓⪎⋱⫍76C=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍1033-⪎⋱⫍0=⪎⋱⫍1033","layer":2},{"info":"⪎⋱⫍624≭⪎⋱⫍1033=NaN","layer":1},{"info":"≤/NaN=NaN","layer":0}]}
{"id":116,"expression_no_base_symbol":"(⨑⩽⪐$1880$∀⇚≩$3380$)⨰($6269$⋓$7291$≧⫂∧$4748$⇷$2900$)⊉≛↸(⩦⩻⨪($5269$⨵⪆$4868$)⪢(⨞⊢$1068$))","expression":"(⨑⩽⪐⪎⋱⫍B18∀⇚≩⪎⋱⫍1700)⨰(⪎⋱⫍2B13⋓⪎⋱⫍341B≧⫂∧⪎⋱⫍2213⇷⪎⋱⫍1421)⊉≛↸(⩦⩻⨪(⪎⋱⫍2524⨵⪆⪎⋱⫍22A6)⪢(⨞⊢⪎⋱⫍642))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":80915,"operation_count":11,"complexity_ratio":7355.909090909091,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1880,"base":13},"right_expr":{"type":"numeric_atoms","value":3380,"base":13}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":6269,"base":13},"right_expr":{"type":"numeric_atoms","value":7291,"base":13}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":4748,"base":13},"right_expr":{"type":"numeric_atoms","value":2900,"base":13}}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":5269,"base":13},"right_expr":{"type":"numeric_atoms","value":4868,"base":13}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":1068,"base":13}}}}},"used_operators":["DZ8iAZOCBD","eewbuw0ToL","AF7qkfDlqP","LRNGc0VcxI","Ph9nP6C5qx","T2fj7uvVaJ","mp7IySMOzn","2td37pGCOC","dWAJyo7jo9","2DQ55sFlQl","xUOZtlo3hN"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1880","layer":4},{"info":"number node, value=3380","layer":4},{"info":"compute binary expreesion, left_input=1880, right_input=3380, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = 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=6269","layer":4},{"info":"number node, value=7291","layer":4},{"info":"compute binary expreesion, left_input=6269, right_input=7291, op_id = T2fj7uvVaJ binary_op_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=4748","layer":4},{"info":"number node, value=2900","layer":4},{"info":"compute binary expreesion, left_input=4748, right_input=2900, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=5800","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=5800, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=5327","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=5327, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":1},{"info":"number node, value=5269","layer":4},{"info":"number node, value=4868","layer":4},{"info":"compute binary expreesion, left_input=5269, right_input=4868, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=1068","layer":4},{"info":"compute unary expreesion, input=1068, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1242","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-1242, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', 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":13,"result_base":13,"text":"(⨑⩽⪐⪎⋱⫍B18∀⇚≩⪎⋱⫍1700)⨰(⪎⋱⫍2B13⋓⪎⋱⫍341B≧⫂∧⪎⋱⫍2213⇷⪎⋱⫍1421)⊉≛↸(⩦⩻⨪(⪎⋱⫍2524⨵⪆⪎⋱⫍22A6)⪢(⨞⊢⪎⋱⫍642))=NaN","reverse_text":"NaN=(⨑⩽⪐⪎⋱⫍B18∀⇚≩⪎⋱⫍1700)⨰(⪎⋱⫍2B13⋓⪎⋱⫍341B≧⫂∧⪎⋱⫍2213⇷⪎⋱⫍1421)⊉≛↸(⩦⩻⨪(⪎⋱⫍2524⨵⪆⪎⋱⫍22A6)⪢(⨞⊢⪎⋱⫍642))","cot":[{"info":"⪎⋱⫍B18∀⇚≩⪎⋱⫍1700=NaN","layer":3},{"info":"⨑⩽⪐NaN=NaN","layer":2},{"info":"⪎⋱⫍2B13⋓⪎⋱⫍341B=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍2213⇷⪎⋱⫍1421=⪎⋱⫍2842","layer":3},{"info":"⪎⋱⫍0≧⫂∧⪎⋱⫍2842=⪎⋱⫍256A","layer":2},{"info":"NaN⨰⪎⋱⫍256A=NaN","layer":1},{"info":"⪎⋱⫍2524⨵⪆⪎⋱⫍22A6=⪎⋱⫍C4","layer":3},{"info":"⨞⊢⪎⋱⫍642=⪎⋱⫍-747","layer":3},{"info":"⪎⋱⫍C4⪢⪎⋱⫍-747=NaN","layer":2},{"info":"⩦⩻⨪NaN=NaN","layer":1},{"info":"NaN⊉≛↸NaN=NaN","layer":0}]}
{"id":117,"expression_no_base_symbol":"((($2101$⩨$2098$)⊭∹↮)*($1079$⨸⪁$2925$)⨟⋌⩍(⊙↵-$2483$))⩷∴((($4092$∼$4004$)∧)⨽($5520$⨐⩸⫘$4917$)⊴($3855$⋳⪒$3161$))","expression":"(((⪎⋱⫍C58⩨⪎⋱⫍C55)⊭∹↮)*(⪎⋱⫍650⨸⪁⪎⋱⫍1440)⨟⋌⩍(⊙↵-⪎⋱⫍1190))⩷∴(((⪎⋱⫍1B2A∼⪎⋱⫍1A90)∧)⨽(⪎⋱⫍2688⨐⩸⫘⪎⋱⫍2313)⊴(⪎⋱⫍19A7⋳⪒⪎⋱⫍1592))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":7434,"operation_count":13,"complexity_ratio":571.8461538461538,"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":2101,"base":13},"right_expr":{"type":"numeric_atoms","value":2098,"base":13}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1079,"base":13},"right_expr":{"type":"numeric_atoms","value":2925,"base":13}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":2483,"base":13}}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":4092,"base":13},"right_expr":{"type":"numeric_atoms","value":4004,"base":13}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":5520,"base":13},"right_expr":{"type":"numeric_atoms","value":4917,"base":13}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":3855,"base":13},"right_expr":{"type":"numeric_atoms","value":3161,"base":13}}}}},"used_operators":["9FxExcQeMw","9HNa5Wba9A","xNBdhnnwKq","2DlMacCsIx","rGHVDoGpnC","g55IO6H4Gj","oWn0xqSxBt","8HhzD0ZcuI","z63VuFQld9","DyGG3AbaNP","Nsiff2A1zJ","fu6greOZ01","12rbrZMWeM"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","Tcnh7f0tEr","W4YGzv6Whe","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","dWAJyo7jo9","14qkJME0vr","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2101","layer":4},{"info":"number node, value=2098","layer":4},{"info":"compute binary expreesion, left_input=2101, right_input=2098, 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 = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=0","layer":2},{"info":"number node, value=1079","layer":4},{"info":"number node, value=2925","layer":4},{"info":"compute binary expreesion, left_input=1079, right_input=2925, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=8008","layer":3},{"info":"number node, value=2483","layer":4},{"info":"compute unary expreesion, input=2483, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=8008, 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=0","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=0","layer":1},{"info":"number node, value=4092","layer":4},{"info":"number node, value=4004","layer":4},{"info":"compute binary expreesion, left_input=4092, right_input=4004, 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 = 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=5520","layer":4},{"info":"number node, value=4917","layer":4},{"info":"compute binary expreesion, left_input=5520, right_input=4917, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=3855","layer":4},{"info":"number node, value=3161","layer":4},{"info":"compute binary expreesion, left_input=3855, right_input=3161, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=4262","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4262, 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 = 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 = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(((⪎⋱⫍C58⩨⪎⋱⫍C55)⊭∹↮)*(⪎⋱⫍650⨸⪁⪎⋱⫍1440)⨟⋌⩍(⊙↵-⪎⋱⫍1190))⩷∴(((⪎⋱⫍1B2A∼⪎⋱⫍1A90)∧)⨽(⪎⋱⫍2688⨐⩸⫘⪎⋱⫍2313)⊴(⪎⋱⫍19A7⋳⪒⪎⋱⫍1592))=NaN","reverse_text":"NaN=(((⪎⋱⫍C58⩨⪎⋱⫍C55)⊭∹↮)*(⪎⋱⫍650⨸⪁⪎⋱⫍1440)⨟⋌⩍(⊙↵-⪎⋱⫍1190))⩷∴(((⪎⋱⫍1B2A∼⪎⋱⫍1A90)∧)⨽(⪎⋱⫍2688⨐⩸⫘⪎⋱⫍2313)⊴(⪎⋱⫍19A7⋳⪒⪎⋱⫍1592))","cot":[{"info":"⪎⋱⫍C58⩨⪎⋱⫍C55=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍0⊭∹↮=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍650⨸⪁⪎⋱⫍1440=⪎⋱⫍3850","layer":3},{"info":"⊙↵-⪎⋱⫍1190=⪎⋱⫍-1","layer":3},{"info":"⪎⋱⫍3850⨟⋌⩍⪎⋱⫍-1=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍0*⪎⋱⫍0=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍1B2A∼⪎⋱⫍1A90=NaN","layer":3},{"info":"NaN∧=NaN","layer":2},{"info":"⪎⋱⫍2688⨐⩸⫘⪎⋱⫍2313=NaN","layer":3},{"info":"⪎⋱⫍19A7⋳⪒⪎⋱⫍1592=⪎⋱⫍1C2B","layer":3},{"info":"NaN⊴⪎⋱⫍1C2B=NaN","layer":2},{"info":"NaN⨽NaN=NaN","layer":1},{"info":"⪎⋱⫍0⩷∴NaN=NaN","layer":0}]}
{"id":118,"expression_no_base_symbol":"($1610$⋥≓≎$1478$)⩷∴$2668$⇷$6008$⋥≓≎($2935$⫡⨏$1548$)⨎($5996$+$1057$)↙(($1002$⊪)≭($5208$⊘)⊠≄⫣)","expression":"(⪎⋱⫍96B⋥≓≎⪎⋱⫍899)⩷∴⪎⋱⫍12A3⇷⪎⋱⫍2972⋥≓≎(⪎⋱⫍144A⫡⨏⪎⋱⫍921)⨎(⪎⋱⫍2963+⪎⋱⫍634)↙((⪎⋱⫍5C1⊪)≭(⪎⋱⫍24A8⊘)⊠≄⫣)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":37436,"operation_count":12,"complexity_ratio":3119.6666666666665,"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":1610,"base":13},"right_expr":{"type":"numeric_atoms","value":1478,"base":13}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2668,"base":13},"right_expr":{"type":"numeric_atoms","value":6008,"base":13}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2935,"base":13},"right_expr":{"type":"numeric_atoms","value":1548,"base":13}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":5996,"base":13},"right_expr":{"type":"numeric_atoms","value":1057,"base":13}}}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":1002,"base":13}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":5208,"base":13}}}}},"used_operators":["yyfyN0ffXY","Qy55tPpLXF","9FxExcQeMw","mp7IySMOzn","rJVOvQCfKK","QMFrweE19q","W4YGzv6Whe","DIvbN7qnHd","rxpJgHHUmx","zVYPLywUTj","gu96TGCTMs"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D"],"result":"⪎⋱⫍52","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1610","layer":4},{"info":"number node, value=1478","layer":4},{"info":"compute binary expreesion, left_input=1610, right_input=1478, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=1379","layer":3},{"info":"number node, value=2668","layer":4},{"info":"number node, value=6008","layer":4},{"info":"compute binary expreesion, left_input=2668, right_input=6008, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=12016","layer":3},{"info":"compute binary expreesion, left_input=1379, right_input=12016, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-21306","layer":2},{"info":"number node, value=2935","layer":4},{"info":"number node, value=1548","layer":4},{"info":"compute binary expreesion, left_input=2935, right_input=1548, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=18554","layer":3},{"info":"number node, value=5996","layer":4},{"info":"number node, value=1057","layer":4},{"info":"compute binary expreesion, left_input=5996, right_input=1057, op_id = W4YGzv6Whe binary_op_definition= 'None', output=7053","layer":3},{"info":"compute binary expreesion, left_input=18554, right_input=7053, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=7053","layer":2},{"info":"compute binary expreesion, left_input=-21306, right_input=7053, 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=1002","layer":4},{"info":"compute unary expreesion, input=1002, 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=5208","layer":4},{"info":"compute unary expreesion, input=5208, 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 = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(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 unary expreesion, input=-22, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=0, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=67","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍96B⋥≓≎⪎⋱⫍899)⩷∴⪎⋱⫍12A3⇷⪎⋱⫍2972⋥≓≎(⪎⋱⫍144A⫡⨏⪎⋱⫍921)⨎(⪎⋱⫍2963+⪎⋱⫍634)↙((⪎⋱⫍5C1⊪)≭(⪎⋱⫍24A8⊘)⊠≄⫣)=⪎⋱⫍52","reverse_text":"⪎⋱⫍52=(⪎⋱⫍96B⋥≓≎⪎⋱⫍899)⩷∴⪎⋱⫍12A3⇷⪎⋱⫍2972⋥≓≎(⪎⋱⫍144A⫡⨏⪎⋱⫍921)⨎(⪎⋱⫍2963+⪎⋱⫍634)↙((⪎⋱⫍5C1⊪)≭(⪎⋱⫍24A8⊘)⊠≄⫣)","cot":[{"info":"⪎⋱⫍96B⋥≓≎⪎⋱⫍899=⪎⋱⫍821","layer":3},{"info":"⪎⋱⫍12A3⇷⪎⋱⫍2972=⪎⋱⫍5614","layer":3},{"info":"⪎⋱⫍821⩷∴⪎⋱⫍5614=⪎⋱⫍-990C","layer":2},{"info":"⪎⋱⫍144A⫡⨏⪎⋱⫍921=⪎⋱⫍85A3","layer":3},{"info":"⪎⋱⫍2963+⪎⋱⫍634=⪎⋱⫍3297","layer":3},{"info":"⪎⋱⫍85A3⨎⪎⋱⫍3297=⪎⋱⫍3297","layer":2},{"info":"⪎⋱⫍-990C⋥≓≎⪎⋱⫍3297=⪎⋱⫍52","layer":1},{"info":"⪎⋱⫍5C1⊪=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍24A8⊘=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍0≭⪎⋱⫍0=⪎⋱⫍-19","layer":2},{"info":"⪎⋱⫍-19⊠≄⫣=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍52↙⪎⋱⫍0=⪎⋱⫍52","layer":0}]}
{"id":119,"expression_no_base_symbol":"($1798$⋝⋈⪟$3043$⪨≂$4170$⨎$2571$)⪄($3749$⨁⊸⫻)⪄($1576$⊉≛↸$2274$)/(⨞⊢(+⊝⨔$2061$))⩷∴(($3003$⨎$5772$)⩤)","expression":"(⪎⋱⫍A84⋝⋈⪟⪎⋱⫍1501⪨≂⪎⋱⫍1B8A⨎⪎⋱⫍122A)⪄(⪎⋱⫍1925⨁⊸⫻)⪄(⪎⋱⫍943⊉≛↸⪎⋱⫍105C)/(⨞⊢(+⊝⨔⪎⋱⫍C27))⩷∴((⪎⋱⫍14A0⨎⪎⋱⫍2820)⩤)","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":250,"operation_count":13,"complexity_ratio":19.23076923076923,"tree":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1798,"base":13},"right_expr":{"type":"numeric_atoms","value":3043,"base":13}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":4170,"base":13},"right_expr":{"type":"numeric_atoms","value":2571,"base":13}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":3749,"base":13}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1576,"base":13},"right_expr":{"type":"numeric_atoms","value":2274,"base":13}}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":2061,"base":13}}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":3003,"base":13},"right_expr":{"type":"numeric_atoms","value":5772,"base":13}}}}},"used_operators":["XhwjNDsVaA","SUmda5xLS4","sdazOOVcIp","2DDjHMKMc0","rJVOvQCfKK","glklzrTFfD","DZ8iAZOCBD","9FxExcQeMw","xUOZtlo3hN","DhbWaqg5eL","Z2TMIBDE3Q"],"dependent_operators":["rysDP5nf3Z","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1798","layer":4},{"info":"number node, value=3043","layer":4},{"info":"compute binary expreesion, left_input=1798, right_input=3043, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1798","layer":3},{"info":"number node, value=4170","layer":4},{"info":"number node, value=2571","layer":4},{"info":"compute binary expreesion, left_input=4170, right_input=2571, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2571","layer":3},{"info":"compute binary expreesion, left_input=1798, right_input=2571, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-1444","layer":2},{"info":"number node, value=3749","layer":4},{"info":"compute unary expreesion, input=3749, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=3749","layer":3},{"info":"number node, value=1576","layer":4},{"info":"number node, value=2274","layer":4},{"info":"compute binary expreesion, left_input=1576, right_input=2274, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3152","layer":3},{"info":"compute binary expreesion, left_input=3749, right_input=3152, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-563549","layer":2},{"info":"compute binary expreesion, left_input=-1444, right_input=-563549, 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=2061","layer":4},{"info":"compute unary expreesion, input=2061, 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=3003","layer":4},{"info":"number node, value=5772","layer":4},{"info":"compute binary expreesion, left_input=3003, right_input=5772, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=5772","layer":3},{"info":"compute unary expreesion, input=5772, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-5772","layer":2},{"info":"compute binary expreesion, left_input=-1696, right_input=-5772, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=8120","layer":1},{"info":"compute binary expreesion, left_input=3979, right_input=8120, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍A84⋝⋈⪟⪎⋱⫍1501⪨≂⪎⋱⫍1B8A⨎⪎⋱⫍122A)⪄(⪎⋱⫍1925⨁⊸⫻)⪄(⪎⋱⫍943⊉≛↸⪎⋱⫍105C)/(⨞⊢(+⊝⨔⪎⋱⫍C27))⩷∴((⪎⋱⫍14A0⨎⪎⋱⫍2820)⩤)=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=(⪎⋱⫍A84⋝⋈⪟⪎⋱⫍1501⪨≂⪎⋱⫍1B8A⨎⪎⋱⫍122A)⪄(⪎⋱⫍1925⨁⊸⫻)⪄(⪎⋱⫍943⊉≛↸⪎⋱⫍105C)/(⨞⊢(+⊝⨔⪎⋱⫍C27))⩷∴((⪎⋱⫍14A0⨎⪎⋱⫍2820)⩤)","cot":[{"info":"⪎⋱⫍A84⋝⋈⪟⪎⋱⫍1501=⪎⋱⫍A84","layer":3},{"info":"⪎⋱⫍1B8A⨎⪎⋱⫍122A=⪎⋱⫍122A","layer":3},{"info":"⪎⋱⫍A84⪨≂⪎⋱⫍122A=⪎⋱⫍-871","layer":2},{"info":"⪎⋱⫍1925⨁⊸⫻=⪎⋱⫍1925","layer":3},{"info":"⪎⋱⫍943⊉≛↸⪎⋱⫍105C=⪎⋱⫍1586","layer":3},{"info":"⪎⋱⫍1925⪄⪎⋱⫍1586=⪎⋱⫍-16967C","layer":2},{"info":"⪎⋱⫍-871⪄⪎⋱⫍-16967C=⪎⋱⫍1A71","layer":1},{"info":"+⊝⨔⪎⋱⫍C27=⪎⋱⫍901","layer":3},{"info":"⨞⊢⪎⋱⫍901=⪎⋱⫍-A06","layer":2},{"info":"⪎⋱⫍14A0⨎⪎⋱⫍2820=⪎⋱⫍2820","layer":3},{"info":"⪎⋱⫍2820⩤=⪎⋱⫍-2820","layer":2},{"info":"⪎⋱⫍-A06⩷∴⪎⋱⫍-2820=⪎⋱⫍3908","layer":1},{"info":"⪎⋱⫍1A71/⪎⋱⫍3908=⪎⋱⫍0","layer":0}]}
{"id":120,"expression_no_base_symbol":"↔($5482$≭$3879$⋷$1335$*$3461$+$2675$⪛$1634$⨳⩥⨓$8274$≹⇙⪍$1637$)","expression":"↔(⪎⋱⫍2659≭⪎⋱⫍19C5⋷⪎⋱⫍7B9*⪎⋱⫍1763+⪎⋱⫍12AA⪛⪎⋱⫍989⨳⩥⨓⪎⋱⫍39C6≹⇙⪍⪎⋱⫍98C)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1369,"operation_count":8,"complexity_ratio":171.125,"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":5482,"base":13},"right_expr":{"type":"numeric_atoms","value":3879,"base":13}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1335,"base":13},"right_expr":{"type":"numeric_atoms","value":3461,"base":13}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2675,"base":13},"right_expr":{"type":"numeric_atoms","value":1634,"base":13}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":8274,"base":13},"right_expr":{"type":"numeric_atoms","value":1637,"base":13}}}}},"used_operators":["ruOEQAzv1W","W4YGzv6Whe","23Mk6UjR3U","rxpJgHHUmx","9HNa5Wba9A","nCS4ZIUYfx","uFcxV4UQCh","AHs5Up7iyr"],"dependent_operators":["XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","dWAJyo7jo9"],"result":"⪎⋱⫍-A4","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5482","layer":4},{"info":"number node, value=3879","layer":4},{"info":"compute binary expreesion, left_input=5482, right_input=3879, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=1335","layer":4},{"info":"number node, value=3461","layer":4},{"info":"compute binary expreesion, left_input=1335, right_input=3461, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=4620435","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4620435, 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=2675","layer":4},{"info":"number node, value=1634","layer":4},{"info":"compute binary expreesion, left_input=2675, right_input=1634, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1041","layer":3},{"info":"number node, value=8274","layer":4},{"info":"number node, value=1637","layer":4},{"info":"compute binary expreesion, left_input=8274, right_input=1637, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=1041, 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 = W4YGzv6Whe binary_op_definition= 'None', 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":13,"result_base":13,"text":"↔(⪎⋱⫍2659≭⪎⋱⫍19C5⋷⪎⋱⫍7B9*⪎⋱⫍1763+⪎⋱⫍12AA⪛⪎⋱⫍989⨳⩥⨓⪎⋱⫍39C6≹⇙⪍⪎⋱⫍98C)=⪎⋱⫍-A4","reverse_text":"⪎⋱⫍-A4=↔(⪎⋱⫍2659≭⪎⋱⫍19C5⋷⪎⋱⫍7B9*⪎⋱⫍1763+⪎⋱⫍12AA⪛⪎⋱⫍989⨳⩥⨓⪎⋱⫍39C6≹⇙⪍⪎⋱⫍98C)","cot":[{"info":"⪎⋱⫍2659≭⪎⋱⫍19C5=NaN","layer":3},{"info":"⪎⋱⫍7B9*⪎⋱⫍1763=⪎⋱⫍C5A0B1","layer":3},{"info":"NaN⋷⪎⋱⫍C5A0B1=NaN","layer":2},{"info":"⪎⋱⫍12AA⪛⪎⋱⫍989=⪎⋱⫍621","layer":3},{"info":"⪎⋱⫍39C6≹⇙⪍⪎⋱⫍98C=NaN","layer":3},{"info":"⪎⋱⫍621⨳⩥⨓NaN=NaN","layer":2},{"info":"NaN+NaN=NaN","layer":1},{"info":"↔NaN=⪎⋱⫍-A4","layer":0}]}
{"id":121,"expression_no_base_symbol":"($2474$⪮%⊝$4829$%$4428$*$2222$)⪛((⨞⊢$1131$)⨐⩸⫘$3092$+⇶⊼$1016$)⋷(($1480$⨰$4063$⋥≓≎($3550$∸))⩤)","expression":"(⪎⋱⫍1184⪮%⊝⪎⋱⫍2276%⪎⋱⫍2028*⪎⋱⫍101C)⪛((⨞⊢⪎⋱⫍690)⨐⩸⫘⪎⋱⫍153B+⇶⊼⪎⋱⫍602)⋷((⪎⋱⫍89B⨰⪎⋱⫍1B07⋥≓≎(⪎⋱⫍1801∸))⩤)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2428,"operation_count":12,"complexity_ratio":202.33333333333334,"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":2474,"base":13},"right_expr":{"type":"numeric_atoms","value":4829,"base":13}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":4428,"base":13},"right_expr":{"type":"numeric_atoms","value":2222,"base":13}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":1131,"base":13}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":3092,"base":13},"right_expr":{"type":"numeric_atoms","value":1016,"base":13}}}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1480,"base":13},"right_expr":{"type":"numeric_atoms","value":4063,"base":13}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":3550,"base":13}}}}},"used_operators":["23Mk6UjR3U","uFcxV4UQCh","k8jYdgA6NY","IWmyXbctLI","9HNa5Wba9A","fu6greOZ01","xUOZtlo3hN","TpPTUOHfaN","Z2TMIBDE3Q","Qy55tPpLXF","eewbuw0ToL","o20kRiQErp"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2474","layer":4},{"info":"number node, value=4829","layer":4},{"info":"compute binary expreesion, left_input=2474, right_input=4829, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=5264","layer":3},{"info":"number node, value=4428","layer":4},{"info":"number node, value=2222","layer":4},{"info":"compute binary expreesion, left_input=4428, right_input=2222, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=9839016","layer":3},{"info":"compute binary expreesion, left_input=5264, right_input=9839016, op_id = k8jYdgA6NY binary_op_definition= 'None', output=5264","layer":2},{"info":"number node, value=1131","layer":4},{"info":"compute unary expreesion, input=1131, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1305","layer":3},{"info":"number node, value=3092","layer":4},{"info":"number node, value=1016","layer":4},{"info":"compute binary expreesion, left_input=3092, right_input=1016, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=-1305, 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=5264, 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=1480","layer":4},{"info":"number node, value=4063","layer":4},{"info":"compute binary expreesion, left_input=1480, right_input=4063, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-2573","layer":3},{"info":"number node, value=3550","layer":4},{"info":"compute unary expreesion, input=3550, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"compute binary expreesion, left_input=-2573, right_input=177, 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 = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-67","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-67, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍1184⪮%⊝⪎⋱⫍2276%⪎⋱⫍2028*⪎⋱⫍101C)⪛((⨞⊢⪎⋱⫍690)⨐⩸⫘⪎⋱⫍153B+⇶⊼⪎⋱⫍602)⋷((⪎⋱⫍89B⨰⪎⋱⫍1B07⋥≓≎(⪎⋱⫍1801∸))⩤)=NaN","reverse_text":"NaN=(⪎⋱⫍1184⪮%⊝⪎⋱⫍2276%⪎⋱⫍2028*⪎⋱⫍101C)⪛((⨞⊢⪎⋱⫍690)⨐⩸⫘⪎⋱⫍153B+⇶⊼⪎⋱⫍602)⋷((⪎⋱⫍89B⨰⪎⋱⫍1B07⋥≓≎(⪎⋱⫍1801∸))⩤)","cot":[{"info":"⪎⋱⫍1184⪮%⊝⪎⋱⫍2276=⪎⋱⫍251C","layer":3},{"info":"⪎⋱⫍2028*⪎⋱⫍101C=⪎⋱⫍2066505","layer":3},{"info":"⪎⋱⫍251C%⪎⋱⫍2066505=⪎⋱⫍251C","layer":2},{"info":"⨞⊢⪎⋱⫍690=⪎⋱⫍-795","layer":3},{"info":"⪎⋱⫍153B+⇶⊼⪎⋱⫍602=NaN","layer":3},{"info":"⪎⋱⫍-795⨐⩸⫘NaN=NaN","layer":2},{"info":"⪎⋱⫍251C⪛NaN=NaN","layer":1},{"info":"⪎⋱⫍89B⨰⪎⋱⫍1B07=⪎⋱⫍-122C","layer":3},{"info":"⪎⋱⫍1801∸=⪎⋱⫍108","layer":3},{"info":"⪎⋱⫍-122C⋥≓≎⪎⋱⫍108=⪎⋱⫍52","layer":2},{"info":"⪎⋱⫍52⩤=⪎⋱⫍-52","layer":1},{"info":"NaN⋷⪎⋱⫍-52=NaN","layer":0}]}
{"id":122,"expression_no_base_symbol":"(⨈⫕((↔$6461$)-(⫓⪴$5235$)))⪮%⊝(($3500$⊠≄⫣)+(⋗⩬⋾$1038$)⪨≂((⋗⩬⋾$4026$)↪⪝))","expression":"(⨈⫕((↔⪎⋱⫍2C30)-(⫓⪴⪎⋱⫍24C9)))⪮%⊝((⪎⋱⫍1793⊠≄⫣)+(⋗⩬⋾⪎⋱⫍61B)⪨≂((⋗⩬⋾⪎⋱⫍1AA9)↪⪝))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":6353,"operation_count":11,"complexity_ratio":577.5454545454545,"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":6461,"base":13}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":5235,"base":13}}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":3500,"base":13}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1038,"base":13}}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":4026,"base":13}}}}},"used_operators":["IWmyXbctLI","megm06wKyl","rysDP5nf3Z","ruOEQAzv1W","eLxqMNBOBk","sdazOOVcIp","W4YGzv6Whe","DIvbN7qnHd","DpFCA1CohY","l07mrZUIn9"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","2DDjHMKMc0"],"result":"⪎⋱⫍181","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=6461","layer":4},{"info":"compute unary expreesion, input=6461, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-6188","layer":3},{"info":"number node, value=5235","layer":4},{"info":"compute unary expreesion, input=5235, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=27405225","layer":3},{"info":"compute binary expreesion, left_input=-6188, right_input=27405225, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-27411413","layer":2},{"info":"compute unary expreesion, input=-27411413, 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=3500","layer":4},{"info":"compute unary expreesion, input=3500, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"number node, value=1038","layer":4},{"info":"compute unary expreesion, input=1038, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-3114","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-3114, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-3114","layer":2},{"info":"number node, value=4026","layer":4},{"info":"compute unary expreesion, input=4026, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-12078","layer":3},{"info":"compute unary expreesion, input=-12078, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=-738956196","layer":2},{"info":"compute binary expreesion, left_input=-3114, right_input=-738956196, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=1477906266","layer":1},{"info":"compute binary expreesion, left_input=-21, right_input=1477906266, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=274","layer":0}],"base":13,"result_base":13,"text":"(⨈⫕((↔⪎⋱⫍2C30)-(⫓⪴⪎⋱⫍24C9)))⪮%⊝((⪎⋱⫍1793⊠≄⫣)+(⋗⩬⋾⪎⋱⫍61B)⪨≂((⋗⩬⋾⪎⋱⫍1AA9)↪⪝))=⪎⋱⫍181","reverse_text":"⪎⋱⫍181=(⨈⫕((↔⪎⋱⫍2C30)-(⫓⪴⪎⋱⫍24C9)))⪮%⊝((⪎⋱⫍1793⊠≄⫣)+(⋗⩬⋾⪎⋱⫍61B)⪨≂((⋗⩬⋾⪎⋱⫍1AA9)↪⪝))","cot":[{"info":"↔⪎⋱⫍2C30=⪎⋱⫍-2A80","layer":3},{"info":"⫓⪴⪎⋱⫍24C9=⪎⋱⫍58A6C13","layer":3},{"info":"⪎⋱⫍-2A80-⪎⋱⫍58A6C13=⪎⋱⫍-58A9993","layer":2},{"info":"⨈⫕⪎⋱⫍-58A9993=⪎⋱⫍-18","layer":1},{"info":"⪎⋱⫍1793⊠≄⫣=⪎⋱⫍0","layer":3},{"info":"⋗⩬⋾⪎⋱⫍61B=⪎⋱⫍-1557","layer":3},{"info":"⪎⋱⫍0+⪎⋱⫍-1557=⪎⋱⫍-1557","layer":2},{"info":"⋗⩬⋾⪎⋱⫍1AA9=⪎⋱⫍-5661","layer":3},{"info":"⪎⋱⫍-5661↪⪝=⪎⋱⫍-BA12BAB4","layer":2},{"info":"⪎⋱⫍-1557⪨≂⪎⋱⫍-BA12BAB4=⪎⋱⫍1A7257B65","layer":1},{"info":"⪎⋱⫍-18⪮%⊝⪎⋱⫍1A7257B65=⪎⋱⫍181","layer":0}]}
{"id":123,"expression_no_base_symbol":"⫓⪴(($1062$⨟⋌⩍$1277$⇼⇔∾$1941$⪢$2019$)⨓(⩦⩻⨪($6761$∲⫓$1957$)))","expression":"⫓⪴((⪎⋱⫍639⨟⋌⩍⪎⋱⫍773⇼⇔∾⪎⋱⫍B64⪢⪎⋱⫍BC4)⨓(⩦⩻⨪(⪎⋱⫍3101∲⫓⪎⋱⫍B77)))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":2035,"operation_count":7,"complexity_ratio":290.7142857142857,"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":1062,"base":13},"right_expr":{"type":"numeric_atoms","value":1277,"base":13}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1941,"base":13},"right_expr":{"type":"numeric_atoms","value":2019,"base":13}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":6761,"base":13},"right_expr":{"type":"numeric_atoms","value":1957,"base":13}}}}},"used_operators":["eLxqMNBOBk","3ViojmjbAp","tifHPKVTfV","rGHVDoGpnC","dWAJyo7jo9","2td37pGCOC","i8ToyICDmI"],"dependent_operators":["9HNa5Wba9A","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1062","layer":4},{"info":"number node, value=1277","layer":4},{"info":"compute binary expreesion, left_input=1062, right_input=1277, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=1941","layer":4},{"info":"number node, value=2019","layer":4},{"info":"compute binary expreesion, left_input=1941, right_input=2019, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":2},{"info":"number node, value=6761","layer":4},{"info":"number node, value=1957","layer":4},{"info":"compute binary expreesion, left_input=6761, right_input=1957, 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 = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', 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 unary expreesion, input=nan, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⫓⪴((⪎⋱⫍639⨟⋌⩍⪎⋱⫍773⇼⇔∾⪎⋱⫍B64⪢⪎⋱⫍BC4)⨓(⩦⩻⨪(⪎⋱⫍3101∲⫓⪎⋱⫍B77)))=NaN","reverse_text":"NaN=⫓⪴((⪎⋱⫍639⨟⋌⩍⪎⋱⫍773⇼⇔∾⪎⋱⫍B64⪢⪎⋱⫍BC4)⨓(⩦⩻⨪(⪎⋱⫍3101∲⫓⪎⋱⫍B77)))","cot":[{"info":"⪎⋱⫍639⨟⋌⩍⪎⋱⫍773=NaN","layer":3},{"info":"⪎⋱⫍B64⪢⪎⋱⫍BC4=NaN","layer":3},{"info":"NaN⇼⇔∾NaN=NaN","layer":2},{"info":"⪎⋱⫍3101∲⫓⪎⋱⫍B77=⪎⋱⫍0","layer":3},{"info":"⩦⩻⨪⪎⋱⫍0=⪎⋱⫍0","layer":2},{"info":"NaN⨓⪎⋱⫍0=NaN","layer":1},{"info":"⫓⪴NaN=NaN","layer":0}]}
{"id":124,"expression_no_base_symbol":"(($1085$⨸⪁$3007$)≧⫂∧$1340$⪛$8610$↙(($1149$⊘)⩨($6947$⩨$1935$)))∸","expression":"((⪎⋱⫍656⨸⪁⪎⋱⫍14A4)≧⫂∧⪎⋱⫍7C1⪛⪎⋱⫍3BC4↙((⪎⋱⫍6A5⊘)⩨(⪎⋱⫍3215⩨⪎⋱⫍B5B)))∸","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":216,"operation_count":8,"complexity_ratio":27.0,"tree":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1085,"base":13},"right_expr":{"type":"numeric_atoms","value":3007,"base":13}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1340,"base":13},"right_expr":{"type":"numeric_atoms","value":8610,"base":13}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":1149,"base":13}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":6947,"base":13},"right_expr":{"type":"numeric_atoms","value":1935,"base":13}}}}},"used_operators":["o20kRiQErp","yyfyN0ffXY","Ph9nP6C5qx","g55IO6H4Gj","uFcxV4UQCh","2DlMacCsIx","gu96TGCTMs"],"dependent_operators":["tmPS8pqC7x","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D"],"result":"⪎⋱⫍108","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1085","layer":4},{"info":"number node, value=3007","layer":4},{"info":"compute binary expreesion, left_input=1085, right_input=3007, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=8184","layer":3},{"info":"number node, value=1340","layer":4},{"info":"number node, value=8610","layer":4},{"info":"compute binary expreesion, left_input=1340, right_input=8610, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1340","layer":3},{"info":"compute binary expreesion, left_input=8184, right_input=1340, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=867","layer":2},{"info":"number node, value=1149","layer":4},{"info":"compute unary expreesion, input=1149, 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=6947","layer":4},{"info":"number node, value=1935","layer":4},{"info":"compute binary expreesion, left_input=6947, right_input=1935, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=867, 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":13,"result_base":13,"text":"((⪎⋱⫍656⨸⪁⪎⋱⫍14A4)≧⫂∧⪎⋱⫍7C1⪛⪎⋱⫍3BC4↙((⪎⋱⫍6A5⊘)⩨(⪎⋱⫍3215⩨⪎⋱⫍B5B)))∸=⪎⋱⫍108","reverse_text":"⪎⋱⫍108=((⪎⋱⫍656⨸⪁⪎⋱⫍14A4)≧⫂∧⪎⋱⫍7C1⪛⪎⋱⫍3BC4↙((⪎⋱⫍6A5⊘)⩨(⪎⋱⫍3215⩨⪎⋱⫍B5B)))∸","cot":[{"info":"⪎⋱⫍656⨸⪁⪎⋱⫍14A4=⪎⋱⫍3957","layer":3},{"info":"⪎⋱⫍7C1⪛⪎⋱⫍3BC4=⪎⋱⫍7C1","layer":3},{"info":"⪎⋱⫍3957≧⫂∧⪎⋱⫍7C1=⪎⋱⫍519","layer":2},{"info":"⪎⋱⫍6A5⊘=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍3215⩨⪎⋱⫍B5B=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍0⩨⪎⋱⫍0=NaN","layer":2},{"info":"⪎⋱⫍519↙NaN=NaN","layer":1},{"info":"NaN∸=⪎⋱⫍108","layer":0}]}
{"id":125,"expression_no_base_symbol":"(($2559$⨐⩸⫘$1910$)⊴($4055$⪒$2151$)≋⫹)-(($4075$∸)↛⩡⫤)⫸⊐($1844$∑⇟⊟$8401$⪐)","expression":"((⪎⋱⫍121B⨐⩸⫘⪎⋱⫍B3C)⊴(⪎⋱⫍1ACC⪒⪎⋱⫍C96)≋⫹)-((⪎⋱⫍1B16∸)↛⩡⫤)⫸⊐(⪎⋱⫍ABB∑⇟⊟⪎⋱⫍3A93⪐)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":7069,"operation_count":10,"complexity_ratio":706.9,"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":2559,"base":13},"right_expr":{"type":"numeric_atoms","value":1910,"base":13}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":4055,"base":13},"right_expr":{"type":"numeric_atoms","value":2151,"base":13}}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":4075,"base":13}}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1844,"base":13},"right_expr":{"type":"numeric_atoms","value":8401,"base":13}}}}},"used_operators":["rysDP5nf3Z","N41Kp7NANJ","Nsiff2A1zJ","fu6greOZ01","f6k1SAg4EE","mqXw5SEYmG","FU0Cs4j7VP","o20kRiQErp","eH2TOUuTDT","U7g4x0WXJJ"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","tmPS8pqC7x","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2559","layer":4},{"info":"number node, value=1910","layer":4},{"info":"compute binary expreesion, left_input=2559, right_input=1910, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=4055","layer":4},{"info":"number node, value=2151","layer":4},{"info":"compute binary expreesion, left_input=4055, right_input=2151, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-6206","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-6206, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', 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=4075","layer":4},{"info":"compute unary expreesion, input=4075, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"compute unary expreesion, input=177, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-22816","layer":2},{"info":"number node, value=1844","layer":4},{"info":"number node, value=8401","layer":4},{"info":"compute binary expreesion, left_input=1844, right_input=8401, 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=-22816, right_input=nan, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=968","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=968, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍121B⨐⩸⫘⪎⋱⫍B3C)⊴(⪎⋱⫍1ACC⪒⪎⋱⫍C96)≋⫹)-((⪎⋱⫍1B16∸)↛⩡⫤)⫸⊐(⪎⋱⫍ABB∑⇟⊟⪎⋱⫍3A93⪐)=NaN","reverse_text":"NaN=((⪎⋱⫍121B⨐⩸⫘⪎⋱⫍B3C)⊴(⪎⋱⫍1ACC⪒⪎⋱⫍C96)≋⫹)-((⪎⋱⫍1B16∸)↛⩡⫤)⫸⊐(⪎⋱⫍ABB∑⇟⊟⪎⋱⫍3A93⪐)","cot":[{"info":"⪎⋱⫍121B⨐⩸⫘⪎⋱⫍B3C=NaN","layer":3},{"info":"⪎⋱⫍1ACC⪒⪎⋱⫍C96=⪎⋱⫍-2A95","layer":3},{"info":"NaN⊴⪎⋱⫍-2A95=NaN","layer":2},{"info":"NaN≋⫹=NaN","layer":1},{"info":"⪎⋱⫍1B16∸=⪎⋱⫍108","layer":3},{"info":"⪎⋱⫍108↛⩡⫤=⪎⋱⫍-A501","layer":2},{"info":"⪎⋱⫍ABB∑⇟⊟⪎⋱⫍3A93=NaN","layer":3},{"info":"NaN⪐=NaN","layer":2},{"info":"⪎⋱⫍-A501⫸⊐NaN=⪎⋱⫍596","layer":1},{"info":"NaN-⪎⋱⫍596=NaN","layer":0}]}
{"id":126,"expression_no_base_symbol":"($5913$%$3850$)∑⇟⊟($4928$/$1445$)⋓(⨈⫕$2430$)⊴($4130$⪨≂$2261$)≧⫂∧((($2386$⋓$5771$)≦≮≮)⨳⩥⨓((⊄⩳↩$4958$)+$2711$⫥∨⫟$1513$))","expression":"(⪎⋱⫍28CB%⪎⋱⫍19A2)∑⇟⊟(⪎⋱⫍2321/⪎⋱⫍872)⋓(⨈⫕⪎⋱⫍114C)⊴(⪎⋱⫍1B59⪨≂⪎⋱⫍104C)≧⫂∧(((⪎⋱⫍1117⋓⪎⋱⫍281C)≦≮≮)⨳⩥⨓((⊄⩳↩⪎⋱⫍2345)+⪎⋱⫍1307⫥∨⫟⪎⋱⫍8C5))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":8228,"operation_count":14,"complexity_ratio":587.7142857142857,"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":5913,"base":13},"right_expr":{"type":"numeric_atoms","value":3850,"base":13}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":4928,"base":13},"right_expr":{"type":"numeric_atoms","value":1445,"base":13}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":2430,"base":13}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":4130,"base":13},"right_expr":{"type":"numeric_atoms","value":2261,"base":13}}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2386,"base":13},"right_expr":{"type":"numeric_atoms","value":5771,"base":13}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":4958,"base":13}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2711,"base":13},"right_expr":{"type":"numeric_atoms","value":1513,"base":13}}}}},"used_operators":["Ph9nP6C5qx","T2fj7uvVaJ","U7g4x0WXJJ","k8jYdgA6NY","XhwjNDsVaA","Nsiff2A1zJ","megm06wKyl","sdazOOVcIp","nCS4ZIUYfx","D4vGDi5EA2","W4YGzv6Whe","8w2t5hMYqp","KYD54nUTWz"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","rysDP5nf3Z","dWAJyo7jo9","14qkJME0vr","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5913","layer":4},{"info":"number node, value=3850","layer":4},{"info":"compute binary expreesion, left_input=5913, right_input=3850, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2063","layer":3},{"info":"number node, value=4928","layer":4},{"info":"number node, value=1445","layer":4},{"info":"compute binary expreesion, left_input=4928, right_input=1445, op_id = XhwjNDsVaA binary_op_definition= 'None', output=3","layer":3},{"info":"compute binary expreesion, left_input=2063, 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=2430","layer":4},{"info":"compute unary expreesion, input=2430, 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=4130","layer":4},{"info":"number node, value=2261","layer":4},{"info":"compute binary expreesion, left_input=4130, right_input=2261, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=3840","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=3840, 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 = T2fj7uvVaJ 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=2386","layer":4},{"info":"number node, value=5771","layer":4},{"info":"compute binary expreesion, left_input=2386, right_input=5771, op_id = T2fj7uvVaJ binary_op_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 = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=0","layer":2},{"info":"number node, value=4958","layer":4},{"info":"compute unary expreesion, input=4958, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-14874","layer":3},{"info":"number node, value=2711","layer":4},{"info":"number node, value=1513","layer":4},{"info":"compute binary expreesion, left_input=2711, right_input=1513, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-14874, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍28CB%⪎⋱⫍19A2)∑⇟⊟(⪎⋱⫍2321/⪎⋱⫍872)⋓(⨈⫕⪎⋱⫍114C)⊴(⪎⋱⫍1B59⪨≂⪎⋱⫍104C)≧⫂∧(((⪎⋱⫍1117⋓⪎⋱⫍281C)≦≮≮)⨳⩥⨓((⊄⩳↩⪎⋱⫍2345)+⪎⋱⫍1307⫥∨⫟⪎⋱⫍8C5))=NaN","reverse_text":"NaN=(⪎⋱⫍28CB%⪎⋱⫍19A2)∑⇟⊟(⪎⋱⫍2321/⪎⋱⫍872)⋓(⨈⫕⪎⋱⫍114C)⊴(⪎⋱⫍1B59⪨≂⪎⋱⫍104C)≧⫂∧(((⪎⋱⫍1117⋓⪎⋱⫍281C)≦≮≮)⨳⩥⨓((⊄⩳↩⪎⋱⫍2345)+⪎⋱⫍1307⫥∨⫟⪎⋱⫍8C5))","cot":[{"info":"⪎⋱⫍28CB%⪎⋱⫍19A2=⪎⋱⫍C29","layer":3},{"info":"⪎⋱⫍2321/⪎⋱⫍872=⪎⋱⫍3","layer":3},{"info":"⪎⋱⫍C29∑⇟⊟⪎⋱⫍3=NaN","layer":2},{"info":"⨈⫕⪎⋱⫍114C=⪎⋱⫍-18","layer":3},{"info":"⪎⋱⫍1B59⪨≂⪎⋱⫍104C=⪎⋱⫍1995","layer":3},{"info":"⪎⋱⫍-18⊴⪎⋱⫍1995=NaN","layer":2},{"info":"NaN⋓NaN=NaN","layer":1},{"info":"⪎⋱⫍1117⋓⪎⋱⫍281C=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍0≦≮≮=⪎⋱⫍0","layer":2},{"info":"⊄⩳↩⪎⋱⫍2345=⪎⋱⫍-6A02","layer":3},{"info":"⪎⋱⫍1307⫥∨⫟⪎⋱⫍8C5=NaN","layer":3},{"info":"⪎⋱⫍-6A02+NaN=NaN","layer":2},{"info":"⪎⋱⫍0⨳⩥⨓NaN=NaN","layer":1},{"info":"NaN≧⫂∧NaN=NaN","layer":0}]}
{"id":127,"expression_no_base_symbol":"($8633$⩚⊴⇥$1889$⋷$3648$∀⇚≩$2230$↪⪝)≭($2366$⨰$8188$⊉≛↸($3771$⊪))⪮%⊝(↩$9501$≧⫂∧$4836$)","expression":"(⪎⋱⫍3C11⩚⊴⇥⪎⋱⫍B24⋷⪎⋱⫍1878∀⇚≩⪎⋱⫍1027↪⪝)≭(⪎⋱⫍1100⨰⪎⋱⫍395B⊉≛↸(⪎⋱⫍1941⊪))⪮%⊝(↩⪎⋱⫍442B≧⫂∧⪎⋱⫍2280)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":26311,"operation_count":11,"complexity_ratio":2391.909090909091,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":8633,"base":13},"right_expr":{"type":"numeric_atoms","value":1889,"base":13}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":3648,"base":13},"right_expr":{"type":"numeric_atoms","value":2230,"base":13}}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2366,"base":13},"right_expr":{"type":"numeric_atoms","value":8188,"base":13}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":3771,"base":13}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":9501,"base":13},"right_expr":{"type":"numeric_atoms","value":4836,"base":13}}}}},"used_operators":["rxpJgHHUmx","l07mrZUIn9","23Mk6UjR3U","NTOWxs364D","LRNGc0VcxI","IWmyXbctLI","DZ8iAZOCBD","eewbuw0ToL","zVYPLywUTj","jLgFTUHLKL","Ph9nP6C5qx"],"dependent_operators":["AHs5Up7iyr","9HNa5Wba9A","2DDjHMKMc0","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","X99M06cbEe","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=8633","layer":4},{"info":"number node, value=1889","layer":4},{"info":"compute binary expreesion, left_input=8633, right_input=1889, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-10643","layer":3},{"info":"number node, value=3648","layer":4},{"info":"number node, value=2230","layer":4},{"info":"compute binary expreesion, left_input=3648, right_input=2230, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=-10643, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=21286","layer":2},{"info":"compute unary expreesion, input=21286, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=1302320052","layer":1},{"info":"number node, value=2366","layer":4},{"info":"number node, value=8188","layer":4},{"info":"compute binary expreesion, left_input=2366, right_input=8188, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-5812","layer":3},{"info":"number node, value=3771","layer":4},{"info":"compute unary expreesion, input=3771, 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=-5812, right_input=0, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=0","layer":2},{"info":"number node, value=9501","layer":4},{"info":"number node, value=4836","layer":4},{"info":"compute binary expreesion, left_input=9501, right_input=4836, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=4363","layer":3},{"info":"compute unary expreesion, input=4363, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-32124","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-32124, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=316","layer":1},{"info":"compute binary expreesion, left_input=1302320052, right_input=316, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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":13,"result_base":13,"text":"(⪎⋱⫍3C11⩚⊴⇥⪎⋱⫍B24⋷⪎⋱⫍1878∀⇚≩⪎⋱⫍1027↪⪝)≭(⪎⋱⫍1100⨰⪎⋱⫍395B⊉≛↸(⪎⋱⫍1941⊪))⪮%⊝(↩⪎⋱⫍442B≧⫂∧⪎⋱⫍2280)=NaN","reverse_text":"NaN=(⪎⋱⫍3C11⩚⊴⇥⪎⋱⫍B24⋷⪎⋱⫍1878∀⇚≩⪎⋱⫍1027↪⪝)≭(⪎⋱⫍1100⨰⪎⋱⫍395B⊉≛↸(⪎⋱⫍1941⊪))⪮%⊝(↩⪎⋱⫍442B≧⫂∧⪎⋱⫍2280)","cot":[{"info":"⪎⋱⫍3C11⩚⊴⇥⪎⋱⫍B24=⪎⋱⫍-4AC9","layer":3},{"info":"⪎⋱⫍1878∀⇚≩⪎⋱⫍1027=NaN","layer":3},{"info":"⪎⋱⫍-4AC9⋷NaN=⪎⋱⫍98C5","layer":2},{"info":"⪎⋱⫍98C5↪⪝=⪎⋱⫍179A6ACA7","layer":1},{"info":"⪎⋱⫍1100⨰⪎⋱⫍395B=⪎⋱⫍-2851","layer":3},{"info":"⪎⋱⫍1941⊪=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍-2851⊉≛↸⪎⋱⫍0=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍442B≧⫂∧⪎⋱⫍2280=⪎⋱⫍1CA8","layer":3},{"info":"↩⪎⋱⫍1CA8=⪎⋱⫍-11811","layer":2},{"info":"⪎⋱⫍0⪮%⊝⪎⋱⫍-11811=⪎⋱⫍1B4","layer":1},{"info":"⪎⋱⫍179A6ACA7≭⪎⋱⫍1B4=NaN","layer":0}]}
{"id":128,"expression_no_base_symbol":"⇁⨣⪵((+⊝⨔($2843$/$1759$))⊉≛↸(⨞⊢(≉$1545$)))","expression":"⇁⨣⪵((+⊝⨔(⪎⋱⫍13A9/⪎⋱⫍A54))⊉≛↸(⨞⊢(≉⪎⋱⫍91B)))","highest_n_order":5,"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":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2843,"base":13},"right_expr":{"type":"numeric_atoms","value":1759,"base":13}}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1545,"base":13}}}}},"used_operators":["inkyxCbjAn","DZ8iAZOCBD","DhbWaqg5eL","XhwjNDsVaA","xUOZtlo3hN","e1ybzncUwg"],"dependent_operators":["B5M0gjZbta","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2843","layer":4},{"info":"number node, value=1759","layer":4},{"info":"compute binary expreesion, left_input=2843, right_input=1759, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"compute unary expreesion, input=1, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":2},{"info":"number node, value=1545","layer":4},{"info":"compute unary expreesion, input=1545, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=2076","layer":3},{"info":"compute unary expreesion, input=2076, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-2250","layer":2},{"info":"compute binary expreesion, left_input=1522, right_input=-2250, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3044","layer":1},{"info":"compute unary expreesion, input=3044, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⇁⨣⪵((+⊝⨔(⪎⋱⫍13A9/⪎⋱⫍A54))⊉≛↸(⨞⊢(≉⪎⋱⫍91B)))=NaN","reverse_text":"NaN=⇁⨣⪵((+⊝⨔(⪎⋱⫍13A9/⪎⋱⫍A54))⊉≛↸(⨞⊢(≉⪎⋱⫍91B)))","cot":[{"info":"⪎⋱⫍13A9/⪎⋱⫍A54=⪎⋱⫍1","layer":3},{"info":"+⊝⨔⪎⋱⫍1=⪎⋱⫍901","layer":2},{"info":"≉⪎⋱⫍91B=⪎⋱⫍C39","layer":3},{"info":"⨞⊢⪎⋱⫍C39=⪎⋱⫍-1041","layer":2},{"info":"⪎⋱⫍901⊉≛↸⪎⋱⫍-1041=⪎⋱⫍1502","layer":1},{"info":"⇁⨣⪵⪎⋱⫍1502=NaN","layer":0}]}
{"id":129,"expression_no_base_symbol":"($3316$⨵⪆$2079$)⋝⋈⪟($3061$*$5898$)↙(⨵≀≌(↣≠⋷$4286$))∲⫓$1234$⩷∴$2349$⋝⋈⪟(+⊝⨔$3491$)↙((+⊝⨔$1795$)-$2011$⨪↰⇹$1499$)","expression":"(⪎⋱⫍1681⨵⪆⪎⋱⫍C3C)⋝⋈⪟(⪎⋱⫍1516*⪎⋱⫍28B9)↙(⨵≀≌(↣≠⋷⪎⋱⫍1C49))∲⫓⪎⋱⫍73C⩷∴⪎⋱⫍10B9⋝⋈⪟(+⊝⨔⪎⋱⫍1787)↙((+⊝⨔⪎⋱⫍A81)-⪎⋱⫍BB9⨪↰⇹⪎⋱⫍8B4)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":5178,"operation_count":14,"complexity_ratio":369.85714285714283,"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":3316,"base":13},"right_expr":{"type":"numeric_atoms","value":2079,"base":13}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":3061,"base":13},"right_expr":{"type":"numeric_atoms","value":5898,"base":13}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":4286,"base":13}}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1234,"base":13},"right_expr":{"type":"numeric_atoms","value":2349,"base":13}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":3491,"base":13}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":1795,"base":13}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2011,"base":13},"right_expr":{"type":"numeric_atoms","value":1499,"base":13}}}}},"used_operators":["i8ToyICDmI","yyfyN0ffXY","2DDjHMKMc0","2DQ55sFlQl","9HNa5Wba9A","srAu1WTS94","Asc51vEJeQ","9FxExcQeMw","DhbWaqg5eL","rysDP5nf3Z","tmPS8pqC7x"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3316","layer":4},{"info":"number node, value=2079","layer":4},{"info":"compute binary expreesion, left_input=3316, right_input=2079, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=3061","layer":4},{"info":"number node, value=5898","layer":4},{"info":"compute binary expreesion, left_input=3061, right_input=5898, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=18053778","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=18053778, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=160","layer":2},{"info":"number node, value=4286","layer":4},{"info":"compute unary expreesion, input=4286, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=160, 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=1234","layer":4},{"info":"number node, value=2349","layer":4},{"info":"compute binary expreesion, left_input=1234, right_input=2349, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-2262","layer":3},{"info":"number node, value=3491","layer":4},{"info":"compute unary expreesion, input=3491, 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=-2262, right_input=1522, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-2262","layer":2},{"info":"number node, value=1795","layer":4},{"info":"compute unary expreesion, input=1795, 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=2011","layer":4},{"info":"number node, value=1499","layer":4},{"info":"compute binary expreesion, left_input=2011, right_input=1499, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=2011","layer":3},{"info":"compute binary expreesion, left_input=1522, right_input=2011, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-489","layer":2},{"info":"compute binary expreesion, left_input=-2262, right_input=-489, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-2262","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-2262, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍1681⨵⪆⪎⋱⫍C3C)⋝⋈⪟(⪎⋱⫍1516*⪎⋱⫍28B9)↙(⨵≀≌(↣≠⋷⪎⋱⫍1C49))∲⫓⪎⋱⫍73C⩷∴⪎⋱⫍10B9⋝⋈⪟(+⊝⨔⪎⋱⫍1787)↙((+⊝⨔⪎⋱⫍A81)-⪎⋱⫍BB9⨪↰⇹⪎⋱⫍8B4)=NaN","reverse_text":"NaN=(⪎⋱⫍1681⨵⪆⪎⋱⫍C3C)⋝⋈⪟(⪎⋱⫍1516*⪎⋱⫍28B9)↙(⨵≀≌(↣≠⋷⪎⋱⫍1C49))∲⫓⪎⋱⫍73C⩷∴⪎⋱⫍10B9⋝⋈⪟(+⊝⨔⪎⋱⫍1787)↙((+⊝⨔⪎⋱⫍A81)-⪎⋱⫍BB9⨪↰⇹⪎⋱⫍8B4)","cot":[{"info":"⪎⋱⫍1681⨵⪆⪎⋱⫍C3C=⪎⋱⫍C4","layer":3},{"info":"⪎⋱⫍1516*⪎⋱⫍28B9=⪎⋱⫍3981612","layer":3},{"info":"⪎⋱⫍C4⋝⋈⪟⪎⋱⫍3981612=⪎⋱⫍C4","layer":2},{"info":"↣≠⋷⪎⋱⫍1C49=NaN","layer":3},{"info":"⨵≀≌NaN=NaN","layer":2},{"info":"⪎⋱⫍C4↙NaN=NaN","layer":1},{"info":"⪎⋱⫍73C⩷∴⪎⋱⫍10B9=⪎⋱⫍-1050","layer":3},{"info":"+⊝⨔⪎⋱⫍1787=⪎⋱⫍901","layer":3},{"info":"⪎⋱⫍-1050⋝⋈⪟⪎⋱⫍901=⪎⋱⫍-1050","layer":2},{"info":"+⊝⨔⪎⋱⫍A81=⪎⋱⫍901","layer":3},{"info":"⪎⋱⫍BB9⨪↰⇹⪎⋱⫍8B4=⪎⋱⫍BB9","layer":3},{"info":"⪎⋱⫍901-⪎⋱⫍BB9=⪎⋱⫍-2B8","layer":2},{"info":"⪎⋱⫍-1050↙⪎⋱⫍-2B8=⪎⋱⫍-1050","layer":1},{"info":"NaN∲⫓⪎⋱⫍-1050=NaN","layer":0}]}
{"id":130,"expression_no_base_symbol":"(⪲⇎$4921$)⋳⪒$8700$⨪↰⇹$1032$⋳⪒(⨑⩽⪐($1990$⪐))/(($3636$⫩⊇)⊭↱(⨞⊢$3686$))↺(($4517$⋷$1591$)∲⫓$1693$⊉≛↸$1095$)","expression":"(⪲⇎⪎⋱⫍2317)⋳⪒⪎⋱⫍3C63⨪↰⇹⪎⋱⫍615⋳⪒(⨑⩽⪐(⪎⋱⫍BA1⪐))/((⪎⋱⫍1869⫩⊇)⊭↱(⨞⊢⪎⋱⫍18A7))↺((⪎⋱⫍2096⋷⪎⋱⫍955)∲⫓⪎⋱⫍A03⊉≛↸⪎⋱⫍663)","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":8742,"operation_count":14,"complexity_ratio":624.4285714285714,"tree":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":4921,"base":13}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":8700,"base":13},"right_expr":{"type":"numeric_atoms","value":1032,"base":13}}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":1990,"base":13}}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":3636,"base":13}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":3686,"base":13}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":4517,"base":13},"right_expr":{"type":"numeric_atoms","value":1591,"base":13}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1693,"base":13},"right_expr":{"type":"numeric_atoms","value":1095,"base":13}}}}},"used_operators":["XhwjNDsVaA","12rbrZMWeM","XPYlsWDdGa","tmPS8pqC7x","AF7qkfDlqP","eH2TOUuTDT","7j4O788W3g","COABgblf1C","BjRHVeLaeN","xUOZtlo3hN","i8ToyICDmI","23Mk6UjR3U","DZ8iAZOCBD"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4921","layer":4},{"info":"compute unary expreesion, input=4921, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=9842","layer":3},{"info":"number node, value=8700","layer":4},{"info":"number node, value=1032","layer":4},{"info":"compute binary expreesion, left_input=8700, 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=8700","layer":3},{"info":"compute binary expreesion, left_input=9842, right_input=8700, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=10697","layer":2},{"info":"number node, value=1990","layer":4},{"info":"compute unary expreesion, input=1990, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=3980","layer":3},{"info":"compute unary expreesion, input=3980, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-3707","layer":2},{"info":"compute binary expreesion, left_input=10697, right_input=-3707, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=24814","layer":1},{"info":"number node, value=3636","layer":4},{"info":"compute unary expreesion, input=3636, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-3594","layer":3},{"info":"number node, value=3686","layer":4},{"info":"compute unary expreesion, input=3686, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-3860","layer":3},{"info":"compute binary expreesion, left_input=-3594, right_input=-3860, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-527","layer":2},{"info":"number node, value=4517","layer":4},{"info":"number node, value=1591","layer":4},{"info":"compute binary expreesion, left_input=4517, right_input=1591, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-1335","layer":3},{"info":"number node, value=1693","layer":4},{"info":"number node, value=1095","layer":4},{"info":"compute binary expreesion, left_input=1693, right_input=1095, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3386","layer":3},{"info":"compute binary expreesion, left_input=-1335, right_input=3386, 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=-527, 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=24814, right_input=0, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪲⇎⪎⋱⫍2317)⋳⪒⪎⋱⫍3C63⨪↰⇹⪎⋱⫍615⋳⪒(⨑⩽⪐(⪎⋱⫍BA1⪐))/((⪎⋱⫍1869⫩⊇)⊭↱(⨞⊢⪎⋱⫍18A7))↺((⪎⋱⫍2096⋷⪎⋱⫍955)∲⫓⪎⋱⫍A03⊉≛↸⪎⋱⫍663)=NaN","reverse_text":"NaN=(⪲⇎⪎⋱⫍2317)⋳⪒⪎⋱⫍3C63⨪↰⇹⪎⋱⫍615⋳⪒(⨑⩽⪐(⪎⋱⫍BA1⪐))/((⪎⋱⫍1869⫩⊇)⊭↱(⨞⊢⪎⋱⫍18A7))↺((⪎⋱⫍2096⋷⪎⋱⫍955)∲⫓⪎⋱⫍A03⊉≛↸⪎⋱⫍663)","cot":[{"info":"⪲⇎⪎⋱⫍2317=⪎⋱⫍4631","layer":3},{"info":"⪎⋱⫍3C63⨪↰⇹⪎⋱⫍615=⪎⋱⫍3C63","layer":3},{"info":"⪎⋱⫍4631⋳⪒⪎⋱⫍3C63=⪎⋱⫍4B3B","layer":2},{"info":"⪎⋱⫍BA1⪐=⪎⋱⫍1A72","layer":3},{"info":"⨑⩽⪐⪎⋱⫍1A72=⪎⋱⫍-18C2","layer":2},{"info":"⪎⋱⫍4B3B⋳⪒⪎⋱⫍-18C2=⪎⋱⫍B3AA","layer":1},{"info":"⪎⋱⫍1869⫩⊇=⪎⋱⫍-1836","layer":3},{"info":"⨞⊢⪎⋱⫍18A7=⪎⋱⫍-19AC","layer":3},{"info":"⪎⋱⫍-1836⊭↱⪎⋱⫍-19AC=⪎⋱⫍-317","layer":2},{"info":"⪎⋱⫍2096⋷⪎⋱⫍955=⪎⋱⫍-7B9","layer":3},{"info":"⪎⋱⫍A03⊉≛↸⪎⋱⫍663=⪎⋱⫍1706","layer":3},{"info":"⪎⋱⫍-7B9∲⫓⪎⋱⫍1706=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍-317↺⪎⋱⫍0=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍B3AA/⪎⋱⫍0=NaN","layer":0}]}
{"id":131,"expression_no_base_symbol":"↽≂($1911$∼$1432$⋳⪒$1212$↬$3608$⪒($2070$≎⊠⪸$2291$⋷$7136$∑⇟⊟$5260$))","expression":"↽≂(⪎⋱⫍B40∼⪎⋱⫍862⋳⪒⪎⋱⫍723↬⪎⋱⫍1847⪒(⪎⋱⫍C33≎⊠⪸⪎⋱⫍1073⋷⪎⋱⫍332C∑⇟⊟⪎⋱⫍2518))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":327,"operation_count":8,"complexity_ratio":40.875,"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":1911,"base":13},"right_expr":{"type":"numeric_atoms","value":1432,"base":13}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1212,"base":13},"right_expr":{"type":"numeric_atoms","value":3608,"base":13}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2070,"base":13},"right_expr":{"type":"numeric_atoms","value":2291,"base":13}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":7136,"base":13},"right_expr":{"type":"numeric_atoms","value":5260,"base":13}}}}},"used_operators":["u6S6b8DprG","f6k1SAg4EE","12rbrZMWeM","DyGG3AbaNP","B5M0gjZbta","23Mk6UjR3U","bJkvcejdHO","U7g4x0WXJJ"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1911","layer":4},{"info":"number node, value=1432","layer":4},{"info":"compute binary expreesion, left_input=1911, 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":"number node, value=1212","layer":4},{"info":"number node, value=3608","layer":4},{"info":"compute binary expreesion, left_input=1212, right_input=3608, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":2},{"info":"number node, value=2070","layer":4},{"info":"number node, value=2291","layer":4},{"info":"compute binary expreesion, left_input=2070, right_input=2291, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=535657","layer":3},{"info":"number node, value=7136","layer":4},{"info":"number node, value=5260","layer":4},{"info":"compute binary expreesion, left_input=7136, right_input=5260, 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=535657, 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 = 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":13,"result_base":13,"text":"↽≂(⪎⋱⫍B40∼⪎⋱⫍862⋳⪒⪎⋱⫍723↬⪎⋱⫍1847⪒(⪎⋱⫍C33≎⊠⪸⪎⋱⫍1073⋷⪎⋱⫍332C∑⇟⊟⪎⋱⫍2518))=NaN","reverse_text":"NaN=↽≂(⪎⋱⫍B40∼⪎⋱⫍862⋳⪒⪎⋱⫍723↬⪎⋱⫍1847⪒(⪎⋱⫍C33≎⊠⪸⪎⋱⫍1073⋷⪎⋱⫍332C∑⇟⊟⪎⋱⫍2518))","cot":[{"info":"⪎⋱⫍B40∼⪎⋱⫍862=NaN","layer":3},{"info":"⪎⋱⫍723↬⪎⋱⫍1847=NaN","layer":3},{"info":"NaN⋳⪒NaN=NaN","layer":2},{"info":"⪎⋱⫍C33≎⊠⪸⪎⋱⫍1073=⪎⋱⫍159A75","layer":3},{"info":"⪎⋱⫍332C∑⇟⊟⪎⋱⫍2518=NaN","layer":3},{"info":"⪎⋱⫍159A75⋷NaN=NaN","layer":2},{"info":"NaN⪒NaN=NaN","layer":1},{"info":"↽≂NaN=NaN","layer":0}]}
{"id":132,"expression_no_base_symbol":"(⫓⪴($2841$⨓$1270$))⫥∨⫟((≤/$4317$)⋥≓≎(⊄⩳↩$1385$))↙(($2086$⋝⋈⪟$1633$↙($1347$/$2960$))⫌⩹⨱)","expression":"(⫓⪴(⪎⋱⫍13A7⨓⪎⋱⫍769))⫥∨⫟((≤/⪎⋱⫍1C71)⋥≓≎(⊄⩳↩⪎⋱⫍827))↙((⪎⋱⫍C46⋝⋈⪟⪎⋱⫍988↙(⪎⋱⫍7C8/⪎⋱⫍1469))⫌⩹⨱)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2725,"operation_count":11,"complexity_ratio":247.72727272727272,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2841,"base":13},"right_expr":{"type":"numeric_atoms","value":1270,"base":13}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":4317,"base":13}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1385,"base":13}}}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2086,"base":13},"right_expr":{"type":"numeric_atoms","value":1633,"base":13}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1347,"base":13},"right_expr":{"type":"numeric_atoms","value":2960,"base":13}}}}},"used_operators":["yyfyN0ffXY","KYD54nUTWz","eLxqMNBOBk","3ViojmjbAp","Qy55tPpLXF","eLAdDNolq6","8w2t5hMYqp","EBcxylXtPf","2DDjHMKMc0","XhwjNDsVaA"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","8HhzD0ZcuI","rGHVDoGpnC","9HNa5Wba9A","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2841","layer":4},{"info":"number node, value=1270","layer":4},{"info":"compute binary expreesion, left_input=2841, right_input=1270, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1273","layer":3},{"info":"compute unary expreesion, input=-1273, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=1620529","layer":2},{"info":"number node, value=4317","layer":4},{"info":"compute unary expreesion, input=4317, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-3833","layer":3},{"info":"number node, value=1385","layer":4},{"info":"compute unary expreesion, input=1385, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-4155","layer":3},{"info":"compute binary expreesion, left_input=-3833, right_input=-4155, 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=1620529, right_input=67, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=2086","layer":4},{"info":"number node, value=1633","layer":4},{"info":"compute binary expreesion, left_input=2086, right_input=1633, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2086","layer":3},{"info":"number node, value=1347","layer":4},{"info":"number node, value=2960","layer":4},{"info":"compute binary expreesion, left_input=1347, right_input=2960, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute binary expreesion, left_input=2086, right_input=0, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=1401","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1401, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⫓⪴(⪎⋱⫍13A7⨓⪎⋱⫍769))⫥∨⫟((≤/⪎⋱⫍1C71)⋥≓≎(⊄⩳↩⪎⋱⫍827))↙((⪎⋱⫍C46⋝⋈⪟⪎⋱⫍988↙(⪎⋱⫍7C8/⪎⋱⫍1469))⫌⩹⨱)=NaN","reverse_text":"NaN=(⫓⪴(⪎⋱⫍13A7⨓⪎⋱⫍769))⫥∨⫟((≤/⪎⋱⫍1C71)⋥≓≎(⊄⩳↩⪎⋱⫍827))↙((⪎⋱⫍C46⋝⋈⪟⪎⋱⫍988↙(⪎⋱⫍7C8/⪎⋱⫍1469))⫌⩹⨱)","cot":[{"info":"⪎⋱⫍13A7⨓⪎⋱⫍769=⪎⋱⫍-76C","layer":3},{"info":"⫓⪴⪎⋱⫍-76C=⪎⋱⫍4497C1","layer":2},{"info":"≤/⪎⋱⫍1C71=⪎⋱⫍-198B","layer":3},{"info":"⊄⩳↩⪎⋱⫍827=⪎⋱⫍-1B78","layer":3},{"info":"⪎⋱⫍-198B⋥≓≎⪎⋱⫍-1B78=⪎⋱⫍52","layer":2},{"info":"⪎⋱⫍4497C1⫥∨⫟⪎⋱⫍52=NaN","layer":1},{"info":"⪎⋱⫍C46⋝⋈⪟⪎⋱⫍988=⪎⋱⫍C46","layer":3},{"info":"⪎⋱⫍7C8/⪎⋱⫍1469=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍C46↙⪎⋱⫍0=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍0⫌⩹⨱=⪎⋱⫍83A","layer":1},{"info":"NaN↙⪎⋱⫍83A=NaN","layer":0}]}
{"id":133,"expression_no_base_symbol":"(($2632$⪒$5415$)⨟⋌⩍($3076$↺$4993$)-(≦∁(-$8389$)))≣⋋","expression":"((⪎⋱⫍1276⪒⪎⋱⫍2607)⨟⋌⩍(⪎⋱⫍1528↺⪎⋱⫍2371)-(≦∁(-⪎⋱⫍3A84)))≣⋋","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":65,"operation_count":7,"complexity_ratio":9.285714285714286,"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":2632,"base":13},"right_expr":{"type":"numeric_atoms","value":5415,"base":13}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":3076,"base":13},"right_expr":{"type":"numeric_atoms","value":4993,"base":13}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":8389,"base":13}}}}},"used_operators":["Tcnh7f0tEr","rysDP5nf3Z","rGHVDoGpnC","f6k1SAg4EE","7j4O788W3g","9ICcGScMcE","t8gj7n24qd"],"dependent_operators":["dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2632","layer":4},{"info":"number node, value=5415","layer":4},{"info":"compute binary expreesion, left_input=2632, right_input=5415, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-8047","layer":3},{"info":"number node, value=3076","layer":4},{"info":"number node, value=4993","layer":4},{"info":"compute binary expreesion, left_input=3076, right_input=4993, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=4993","layer":3},{"info":"compute binary expreesion, left_input=-8047, right_input=4993, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=8389","layer":4},{"info":"compute unary expreesion, input=8389, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-8389","layer":3},{"info":"compute unary expreesion, input=-8389, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = rysDP5nf3Z binary_op_definition= 'None', 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":13,"result_base":13,"text":"((⪎⋱⫍1276⪒⪎⋱⫍2607)⨟⋌⩍(⪎⋱⫍1528↺⪎⋱⫍2371)-(≦∁(-⪎⋱⫍3A84)))≣⋋=NaN","reverse_text":"NaN=((⪎⋱⫍1276⪒⪎⋱⫍2607)⨟⋌⩍(⪎⋱⫍1528↺⪎⋱⫍2371)-(≦∁(-⪎⋱⫍3A84)))≣⋋","cot":[{"info":"⪎⋱⫍1276⪒⪎⋱⫍2607=⪎⋱⫍-3880","layer":3},{"info":"⪎⋱⫍1528↺⪎⋱⫍2371=⪎⋱⫍2371","layer":3},{"info":"⪎⋱⫍-3880⨟⋌⩍⪎⋱⫍2371=NaN","layer":2},{"info":"-⪎⋱⫍3A84=⪎⋱⫍-3A84","layer":3},{"info":"≦∁⪎⋱⫍-3A84=⪎⋱⫍52","layer":2},{"info":"NaN-⪎⋱⫍52=NaN","layer":1},{"info":"NaN≣⋋=NaN","layer":0}]}
{"id":134,"expression_no_base_symbol":"(⩦⩻⨪$1247$)≭(⋗⩬⋾$6338$)⇼⇔∾$2097$⨟⋌⩍$7357$⋓(∥⊫$1240$)+(($4287$⫥∨⫟$1020$)⊪)⊴($2452$∲⫓$1342$)⊴($3540$⨐⩸⫘$6986$)","expression":"(⩦⩻⨪⪎⋱⫍74C)≭(⋗⩬⋾⪎⋱⫍2B67)⇼⇔∾⪎⋱⫍C54⨟⋌⩍⪎⋱⫍346C⋓(∥⊫⪎⋱⫍745)+((⪎⋱⫍1C4A⫥∨⫟⪎⋱⫍606)⊪)⊴(⪎⋱⫍1168∲⫓⪎⋱⫍7C3)⊴(⪎⋱⫍17C4⨐⩸⫘⪎⋱⫍3245)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":212,"operation_count":14,"complexity_ratio":15.142857142857142,"tree":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":1247,"base":13}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":6338,"base":13}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2097,"base":13},"right_expr":{"type":"numeric_atoms","value":7357,"base":13}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":1240,"base":13}}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":4287,"base":13},"right_expr":{"type":"numeric_atoms","value":1020,"base":13}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2452,"base":13},"right_expr":{"type":"numeric_atoms","value":1342,"base":13}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":3540,"base":13},"right_expr":{"type":"numeric_atoms","value":6986,"base":13}}}}},"used_operators":["W4YGzv6Whe","tifHPKVTfV","rxpJgHHUmx","2td37pGCOC","DpFCA1CohY","T2fj7uvVaJ","rGHVDoGpnC","P8v4zCKN1o","Nsiff2A1zJ","zVYPLywUTj","KYD54nUTWz","i8ToyICDmI","fu6greOZ01"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1247","layer":4},{"info":"compute unary expreesion, input=1247, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1247","layer":3},{"info":"number node, value=6338","layer":4},{"info":"compute unary expreesion, input=6338, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-19014","layer":3},{"info":"compute binary expreesion, left_input=1247, right_input=-19014, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=2097","layer":4},{"info":"number node, value=7357","layer":4},{"info":"compute binary expreesion, left_input=2097, right_input=7357, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=1240","layer":4},{"info":"compute unary expreesion, input=1240, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2108","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2108, op_id = T2fj7uvVaJ binary_op_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 = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":1},{"info":"number node, value=4287","layer":4},{"info":"number node, value=1020","layer":4},{"info":"compute binary expreesion, left_input=4287, right_input=1020, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=nan","layer":2},{"info":"number node, value=2452","layer":4},{"info":"number node, value=1342","layer":4},{"info":"compute binary expreesion, left_input=2452, right_input=1342, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=3540","layer":4},{"info":"number node, value=6986","layer":4},{"info":"compute binary expreesion, left_input=3540, right_input=6986, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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 = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⩦⩻⨪⪎⋱⫍74C)≭(⋗⩬⋾⪎⋱⫍2B67)⇼⇔∾⪎⋱⫍C54⨟⋌⩍⪎⋱⫍346C⋓(∥⊫⪎⋱⫍745)+((⪎⋱⫍1C4A⫥∨⫟⪎⋱⫍606)⊪)⊴(⪎⋱⫍1168∲⫓⪎⋱⫍7C3)⊴(⪎⋱⫍17C4⨐⩸⫘⪎⋱⫍3245)=NaN","reverse_text":"NaN=(⩦⩻⨪⪎⋱⫍74C)≭(⋗⩬⋾⪎⋱⫍2B67)⇼⇔∾⪎⋱⫍C54⨟⋌⩍⪎⋱⫍346C⋓(∥⊫⪎⋱⫍745)+((⪎⋱⫍1C4A⫥∨⫟⪎⋱⫍606)⊪)⊴(⪎⋱⫍1168∲⫓⪎⋱⫍7C3)⊴(⪎⋱⫍17C4⨐⩸⫘⪎⋱⫍3245)","cot":[{"info":"⩦⩻⨪⪎⋱⫍74C=⪎⋱⫍74C","layer":3},{"info":"⋗⩬⋾⪎⋱⫍2B67=⪎⋱⫍-8868","layer":3},{"info":"⪎⋱⫍74C≭⪎⋱⫍-8868=NaN","layer":2},{"info":"⪎⋱⫍C54⨟⋌⩍⪎⋱⫍346C=NaN","layer":3},{"info":"∥⊫⪎⋱⫍745=⪎⋱⫍C62","layer":3},{"info":"NaN⋓⪎⋱⫍C62=⪎⋱⫍0","layer":2},{"info":"NaN⇼⇔∾⪎⋱⫍0=NaN","layer":1},{"info":"⪎⋱⫍1C4A⫥∨⫟⪎⋱⫍606=NaN","layer":3},{"info":"NaN⊪=NaN","layer":2},{"info":"⪎⋱⫍1168∲⫓⪎⋱⫍7C3=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍17C4⨐⩸⫘⪎⋱⫍3245=NaN","layer":3},{"info":"⪎⋱⫍0⊴NaN=NaN","layer":2},{"info":"NaN⊴NaN=NaN","layer":1},{"info":"NaN+NaN=NaN","layer":0}]}
{"id":135,"expression_no_base_symbol":"(($1264$≭$1758$*($1011$⨵⪆$5771$))⪄($1871$≋⫹)↺(-$2576$))⨽(($2894$⪢$6150$∲⫓(↽≂$2480$))⩨(⇁⨣⪵$1215$)∑⇟⊟($3630$⫸⊐$2862$))","expression":"((⪎⋱⫍763≭⪎⋱⫍A53*(⪎⋱⫍5CA⨵⪆⪎⋱⫍281C))⪄(⪎⋱⫍B0C≋⫹)↺(-⪎⋱⫍1232))⨽((⪎⋱⫍1418⪢⪎⋱⫍2A51∲⫓(↽≂⪎⋱⫍118A))⩨(⇁⨣⪵⪎⋱⫍726)∑⇟⊟(⪎⋱⫍1863⫸⊐⪎⋱⫍13C2))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":10202,"operation_count":15,"complexity_ratio":680.1333333333333,"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":1264,"base":13},"right_expr":{"type":"numeric_atoms","value":1758,"base":13}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1011,"base":13},"right_expr":{"type":"numeric_atoms","value":5771,"base":13}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":1871,"base":13}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":2576,"base":13}}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2894,"base":13},"right_expr":{"type":"numeric_atoms","value":6150,"base":13}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":2480,"base":13}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1215,"base":13}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":3630,"base":13},"right_expr":{"type":"numeric_atoms","value":2862,"base":13}}}}},"used_operators":["8HhzD0ZcuI","SUmda5xLS4","9HNa5Wba9A","rxpJgHHUmx","2DQ55sFlQl","7j4O788W3g","N41Kp7NANJ","t8gj7n24qd","2DlMacCsIx","i8ToyICDmI","dWAJyo7jo9","u6S6b8DprG","U7g4x0WXJJ","inkyxCbjAn","mqXw5SEYmG"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","B5M0gjZbta","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1264","layer":4},{"info":"number node, value=1758","layer":4},{"info":"compute binary expreesion, left_input=1264, right_input=1758, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=1011","layer":4},{"info":"number node, value=5771","layer":4},{"info":"compute binary expreesion, left_input=1011, right_input=5771, 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 = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=1871","layer":4},{"info":"compute unary expreesion, input=1871, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-3742","layer":3},{"info":"number node, value=2576","layer":4},{"info":"compute unary expreesion, input=2576, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-2576","layer":3},{"info":"compute binary expreesion, left_input=-3742, right_input=-2576, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-2576","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-2576, 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=2894","layer":4},{"info":"number node, value=6150","layer":4},{"info":"compute binary expreesion, left_input=2894, right_input=6150, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=2480","layer":4},{"info":"compute unary expreesion, input=2480, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-4960","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-4960, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":2},{"info":"number node, value=1215","layer":4},{"info":"compute unary expreesion, input=1215, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=3630","layer":4},{"info":"number node, value=2862","layer":4},{"info":"compute binary expreesion, left_input=3630, right_input=2862, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=11323","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=11323, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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 = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍763≭⪎⋱⫍A53*(⪎⋱⫍5CA⨵⪆⪎⋱⫍281C))⪄(⪎⋱⫍B0C≋⫹)↺(-⪎⋱⫍1232))⨽((⪎⋱⫍1418⪢⪎⋱⫍2A51∲⫓(↽≂⪎⋱⫍118A))⩨(⇁⨣⪵⪎⋱⫍726)∑⇟⊟(⪎⋱⫍1863⫸⊐⪎⋱⫍13C2))=NaN","reverse_text":"NaN=((⪎⋱⫍763≭⪎⋱⫍A53*(⪎⋱⫍5CA⨵⪆⪎⋱⫍281C))⪄(⪎⋱⫍B0C≋⫹)↺(-⪎⋱⫍1232))⨽((⪎⋱⫍1418⪢⪎⋱⫍2A51∲⫓(↽≂⪎⋱⫍118A))⩨(⇁⨣⪵⪎⋱⫍726)∑⇟⊟(⪎⋱⫍1863⫸⊐⪎⋱⫍13C2))","cot":[{"info":"⪎⋱⫍763≭⪎⋱⫍A53=NaN","layer":3},{"info":"⪎⋱⫍5CA⨵⪆⪎⋱⫍281C=⪎⋱⫍C4","layer":3},{"info":"NaN*⪎⋱⫍C4=NaN","layer":2},{"info":"⪎⋱⫍B0C≋⫹=⪎⋱⫍-191B","layer":3},{"info":"-⪎⋱⫍1232=⪎⋱⫍-1232","layer":3},{"info":"⪎⋱⫍-191B↺⪎⋱⫍-1232=⪎⋱⫍-1232","layer":2},{"info":"NaN⪄⪎⋱⫍-1232=⪎⋱⫍1A71","layer":1},{"info":"⪎⋱⫍1418⪢⪎⋱⫍2A51=NaN","layer":3},{"info":"↽≂⪎⋱⫍118A=⪎⋱⫍-2347","layer":3},{"info":"NaN∲⫓⪎⋱⫍-2347=NaN","layer":2},{"info":"⇁⨣⪵⪎⋱⫍726=NaN","layer":3},{"info":"⪎⋱⫍1863⫸⊐⪎⋱⫍13C2=⪎⋱⫍5200","layer":3},{"info":"NaN∑⇟⊟⪎⋱⫍5200=NaN","layer":2},{"info":"NaN⩨NaN=NaN","layer":1},{"info":"⪎⋱⫍1A71⨽NaN=NaN","layer":0}]}
{"id":136,"expression_no_base_symbol":"(⪲⇎($2343$⨐⩸⫘$8494$)⪛($1020$≦≮≮))⨟⋌⩍(⪲⇎(⫛⫱⨽($2348$⨸⪁$2204$)))","expression":"(⪲⇎(⪎⋱⫍10B3⨐⩸⫘⪎⋱⫍3B35)⪛(⪎⋱⫍606≦≮≮))⨟⋌⩍(⪲⇎(⫛⫱⨽(⪎⋱⫍10B8⨸⪁⪎⋱⫍1007)))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1438,"operation_count":8,"complexity_ratio":179.75,"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":2343,"base":13},"right_expr":{"type":"numeric_atoms","value":8494,"base":13}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":1020,"base":13}}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2348,"base":13},"right_expr":{"type":"numeric_atoms","value":2204,"base":13}}}}},"used_operators":["rGHVDoGpnC","XPYlsWDdGa","uFcxV4UQCh","fu6greOZ01","D4vGDi5EA2","DlLNRPXxWL","g55IO6H4Gj"],"dependent_operators":["Tcnh7f0tEr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2343","layer":4},{"info":"number node, value=8494","layer":4},{"info":"compute binary expreesion, left_input=2343, right_input=8494, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=1020","layer":4},{"info":"compute unary expreesion, input=1020, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-3060","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3060, 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 = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=nan","layer":1},{"info":"number node, value=2348","layer":4},{"info":"number node, value=2204","layer":4},{"info":"compute binary expreesion, left_input=2348, right_input=2204, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=9104","layer":3},{"info":"compute unary expreesion, input=9104, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', 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":"compute binary expreesion, left_input=nan, right_input=0, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪲⇎(⪎⋱⫍10B3⨐⩸⫘⪎⋱⫍3B35)⪛(⪎⋱⫍606≦≮≮))⨟⋌⩍(⪲⇎(⫛⫱⨽(⪎⋱⫍10B8⨸⪁⪎⋱⫍1007)))=NaN","reverse_text":"NaN=(⪲⇎(⪎⋱⫍10B3⨐⩸⫘⪎⋱⫍3B35)⪛(⪎⋱⫍606≦≮≮))⨟⋌⩍(⪲⇎(⫛⫱⨽(⪎⋱⫍10B8⨸⪁⪎⋱⫍1007)))","cot":[{"info":"⪎⋱⫍10B3⨐⩸⫘⪎⋱⫍3B35=NaN","layer":3},{"info":"⪎⋱⫍606≦≮≮=⪎⋱⫍-1515","layer":3},{"info":"NaN⪛⪎⋱⫍-1515=NaN","layer":2},{"info":"⪲⇎NaN=NaN","layer":1},{"info":"⪎⋱⫍10B8⨸⪁⪎⋱⫍1007=⪎⋱⫍41B4","layer":3},{"info":"⫛⫱⨽⪎⋱⫍41B4=⪎⋱⫍0","layer":2},{"info":"⪲⇎⪎⋱⫍0=⪎⋱⫍0","layer":1},{"info":"NaN⨟⋌⩍⪎⋱⫍0=NaN","layer":0}]}
{"id":137,"expression_no_base_symbol":"(⨞⊢($1566$⩨$1518$))∀⇚≩(($2031$⪨≂$9525$)⩷∴(≉$2979$))⫡⨏($2895$-$2417$)≹⇙⪍($1035$⨓$1958$)⨳⩥⨓(($3085$⫸⊐$2917$)↺$5900$⪛$2449$)","expression":"(⨞⊢(⪎⋱⫍936⩨⪎⋱⫍8CA))∀⇚≩((⪎⋱⫍C03⪨≂⪎⋱⫍4449)⩷∴(≉⪎⋱⫍1482))⫡⨏(⪎⋱⫍1419-⪎⋱⫍113C)≹⇙⪍(⪎⋱⫍618⨓⪎⋱⫍B78)⨳⩥⨓((⪎⋱⫍1534⫸⊐⪎⋱⫍1435)↺⪎⋱⫍28BB⪛⪎⋱⫍1165)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":3244,"operation_count":14,"complexity_ratio":231.71428571428572,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1566,"base":13},"right_expr":{"type":"numeric_atoms","value":1518,"base":13}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2031,"base":13},"right_expr":{"type":"numeric_atoms","value":9525,"base":13}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":2979,"base":13}}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2895,"base":13},"right_expr":{"type":"numeric_atoms","value":2417,"base":13}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1035,"base":13},"right_expr":{"type":"numeric_atoms","value":1958,"base":13}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":3085,"base":13},"right_expr":{"type":"numeric_atoms","value":2917,"base":13}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":5900,"base":13},"right_expr":{"type":"numeric_atoms","value":2449,"base":13}}}}},"used_operators":["QMFrweE19q","LRNGc0VcxI","xUOZtlo3hN","2DlMacCsIx","9FxExcQeMw","sdazOOVcIp","e1ybzncUwg","nCS4ZIUYfx","AHs5Up7iyr","rysDP5nf3Z","3ViojmjbAp","7j4O788W3g","mqXw5SEYmG","uFcxV4UQCh"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1566","layer":4},{"info":"number node, value=1518","layer":4},{"info":"compute binary expreesion, left_input=1566, right_input=1518, 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 = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-174","layer":2},{"info":"number node, value=2031","layer":4},{"info":"number node, value=9525","layer":4},{"info":"compute binary expreesion, left_input=2031, right_input=9525, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-14886","layer":3},{"info":"number node, value=2979","layer":4},{"info":"compute unary expreesion, input=2979, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=3510","layer":3},{"info":"compute binary expreesion, left_input=-14886, right_input=3510, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-36824","layer":2},{"info":"compute binary expreesion, left_input=-174, right_input=-36824, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=2895","layer":4},{"info":"number node, value=2417","layer":4},{"info":"compute binary expreesion, left_input=2895, right_input=2417, op_id = rysDP5nf3Z binary_op_definition= 'None', output=478","layer":3},{"info":"number node, value=1035","layer":4},{"info":"number node, value=1958","layer":4},{"info":"compute binary expreesion, left_input=1035, right_input=1958, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1961","layer":3},{"info":"compute binary expreesion, left_input=478, right_input=-1961, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=3085","layer":4},{"info":"number node, value=2917","layer":4},{"info":"compute binary expreesion, left_input=3085, right_input=2917, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=11543","layer":3},{"info":"number node, value=5900","layer":4},{"info":"number node, value=2449","layer":4},{"info":"compute binary expreesion, left_input=5900, right_input=2449, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1002","layer":3},{"info":"compute binary expreesion, left_input=11543, right_input=1002, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1002","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1002, 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 = 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":13,"result_base":13,"text":"(⨞⊢(⪎⋱⫍936⩨⪎⋱⫍8CA))∀⇚≩((⪎⋱⫍C03⪨≂⪎⋱⫍4449)⩷∴(≉⪎⋱⫍1482))⫡⨏(⪎⋱⫍1419-⪎⋱⫍113C)≹⇙⪍(⪎⋱⫍618⨓⪎⋱⫍B78)⨳⩥⨓((⪎⋱⫍1534⫸⊐⪎⋱⫍1435)↺⪎⋱⫍28BB⪛⪎⋱⫍1165)=NaN","reverse_text":"NaN=(⨞⊢(⪎⋱⫍936⩨⪎⋱⫍8CA))∀⇚≩((⪎⋱⫍C03⪨≂⪎⋱⫍4449)⩷∴(≉⪎⋱⫍1482))⫡⨏(⪎⋱⫍1419-⪎⋱⫍113C)≹⇙⪍(⪎⋱⫍618⨓⪎⋱⫍B78)⨳⩥⨓((⪎⋱⫍1534⫸⊐⪎⋱⫍1435)↺⪎⋱⫍28BB⪛⪎⋱⫍1165)","cot":[{"info":"⪎⋱⫍936⩨⪎⋱⫍8CA=⪎⋱⫍0","layer":3},{"info":"⨞⊢⪎⋱⫍0=⪎⋱⫍-105","layer":2},{"info":"⪎⋱⫍C03⪨≂⪎⋱⫍4449=⪎⋱⫍-6A11","layer":3},{"info":"≉⪎⋱⫍1482=⪎⋱⫍17A0","layer":3},{"info":"⪎⋱⫍-6A11⩷∴⪎⋱⫍17A0=⪎⋱⫍-139B8","layer":2},{"info":"⪎⋱⫍-105∀⇚≩⪎⋱⫍-139B8=NaN","layer":1},{"info":"⪎⋱⫍1419-⪎⋱⫍113C=⪎⋱⫍2AA","layer":3},{"info":"⪎⋱⫍618⨓⪎⋱⫍B78=⪎⋱⫍-B7B","layer":3},{"info":"⪎⋱⫍2AA≹⇙⪍⪎⋱⫍-B7B=NaN","layer":2},{"info":"⪎⋱⫍1534⫸⊐⪎⋱⫍1435=⪎⋱⫍533C","layer":3},{"info":"⪎⋱⫍28BB⪛⪎⋱⫍1165=⪎⋱⫍5C1","layer":3},{"info":"⪎⋱⫍533C↺⪎⋱⫍5C1=⪎⋱⫍5C1","layer":2},{"info":"NaN⨳⩥⨓⪎⋱⫍5C1=NaN","layer":1},{"info":"NaN⫡⨏NaN=NaN","layer":0}]}
{"id":138,"expression_no_base_symbol":"∂(↥(⨑⩽⪐$5698$⨓$7965$))","expression":"∂(↥(⨑⩽⪐⪎⋱⫍2794⨓⪎⋱⫍3819))","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":8722,"operation_count":4,"complexity_ratio":2180.5,"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":5698,"base":13},"right_expr":{"type":"numeric_atoms","value":7965,"base":13}}}}},"used_operators":["Uaa54Peajs","A8NUZmVepG","AF7qkfDlqP","3ViojmjbAp"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"⪎⋱⫍-1B0","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5698","layer":4},{"info":"number node, value=7965","layer":4},{"info":"compute binary expreesion, left_input=5698, right_input=7965, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-7968","layer":3},{"info":"compute unary expreesion, input=-7968, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=16725","layer":2},{"info":"compute unary expreesion, input=16725, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=48","layer":1},{"info":"compute unary expreesion, input=48, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=-312","layer":0}],"base":13,"result_base":13,"text":"∂(↥(⨑⩽⪐⪎⋱⫍2794⨓⪎⋱⫍3819))=⪎⋱⫍-1B0","reverse_text":"⪎⋱⫍-1B0=∂(↥(⨑⩽⪐⪎⋱⫍2794⨓⪎⋱⫍3819))","cot":[{"info":"⪎⋱⫍2794⨓⪎⋱⫍3819=⪎⋱⫍-381C","layer":3},{"info":"⨑⩽⪐⪎⋱⫍-381C=⪎⋱⫍77C7","layer":2},{"info":"↥⪎⋱⫍77C7=⪎⋱⫍39","layer":1},{"info":"∂⪎⋱⫍39=⪎⋱⫍-1B0","layer":0}]}
{"id":139,"expression_no_base_symbol":"⫓⪴(($5512$⫥∨⫟$2083$)≭($2234$⊉≛↸$8775$)⨳⩥⨓($2681$⩷∴$1002$)⇷($4147$⇼⇔∾$1974$))","expression":"⫓⪴((⪎⋱⫍2680⫥∨⫟⪎⋱⫍C43)≭(⪎⋱⫍102B⊉≛↸⪎⋱⫍3CC0)⨳⩥⨓(⪎⋱⫍12B3⩷∴⪎⋱⫍5C1)⇷(⪎⋱⫍1B70⇼⇔∾⪎⋱⫍B8B))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":46741,"operation_count":8,"complexity_ratio":5842.625,"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":5512,"base":13},"right_expr":{"type":"numeric_atoms","value":2083,"base":13}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2234,"base":13},"right_expr":{"type":"numeric_atoms","value":8775,"base":13}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2681,"base":13},"right_expr":{"type":"numeric_atoms","value":1002,"base":13}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":4147,"base":13},"right_expr":{"type":"numeric_atoms","value":1974,"base":13}}}}},"used_operators":["eLxqMNBOBk","nCS4ZIUYfx","rxpJgHHUmx","KYD54nUTWz","DZ8iAZOCBD","mp7IySMOzn","9FxExcQeMw","tifHPKVTfV"],"dependent_operators":["9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","AHs5Up7iyr","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=5512","layer":4},{"info":"number node, value=2083","layer":4},{"info":"compute binary expreesion, left_input=5512, right_input=2083, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=2234","layer":4},{"info":"number node, value=8775","layer":4},{"info":"compute binary expreesion, left_input=2234, right_input=8775, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=4468","layer":3},{"info":"compute binary expreesion, left_input=nan, 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=2681","layer":4},{"info":"number node, value=1002","layer":4},{"info":"compute binary expreesion, left_input=2681, right_input=1002, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=3326","layer":3},{"info":"number node, value=4147","layer":4},{"info":"number node, value=1974","layer":4},{"info":"compute binary expreesion, left_input=4147, right_input=1974, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-2173","layer":3},{"info":"compute binary expreesion, left_input=3326, right_input=-2173, 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 = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((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":13,"result_base":13,"text":"⫓⪴((⪎⋱⫍2680⫥∨⫟⪎⋱⫍C43)≭(⪎⋱⫍102B⊉≛↸⪎⋱⫍3CC0)⨳⩥⨓(⪎⋱⫍12B3⩷∴⪎⋱⫍5C1)⇷(⪎⋱⫍1B70⇼⇔∾⪎⋱⫍B8B))=NaN","reverse_text":"NaN=⫓⪴((⪎⋱⫍2680⫥∨⫟⪎⋱⫍C43)≭(⪎⋱⫍102B⊉≛↸⪎⋱⫍3CC0)⨳⩥⨓(⪎⋱⫍12B3⩷∴⪎⋱⫍5C1)⇷(⪎⋱⫍1B70⇼⇔∾⪎⋱⫍B8B))","cot":[{"info":"⪎⋱⫍2680⫥∨⫟⪎⋱⫍C43=NaN","layer":3},{"info":"⪎⋱⫍102B⊉≛↸⪎⋱⫍3CC0=⪎⋱⫍2059","layer":3},{"info":"NaN≭⪎⋱⫍2059=NaN","layer":2},{"info":"⪎⋱⫍12B3⩷∴⪎⋱⫍5C1=⪎⋱⫍168B","layer":3},{"info":"⪎⋱⫍1B70⇼⇔∾⪎⋱⫍B8B=⪎⋱⫍-CB2","layer":3},{"info":"⪎⋱⫍168B⇷⪎⋱⫍-CB2=NaN","layer":2},{"info":"NaN⨳⩥⨓NaN=NaN","layer":1},{"info":"⫓⪴NaN=NaN","layer":0}]}
{"id":140,"expression_no_base_symbol":"(⋗⩬⋾($2723$⫥∨⫟$7742$⪠⩆⊳))⋝⋈⪟($1906$⋓$3699$⨐⩸⫘($2968$/$8182$)%(↩($2113$⫡⨏$3144$)))","expression":"(⋗⩬⋾(⪎⋱⫍1316⫥∨⫟⪎⋱⫍36A7⪠⩆⊳))⋝⋈⪟(⪎⋱⫍B38⋓⪎⋱⫍18B7⨐⩸⫘(⪎⋱⫍1474/⪎⋱⫍3955)%(↩(⪎⋱⫍C67⫡⨏⪎⋱⫍157B)))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":205,"operation_count":10,"complexity_ratio":20.5,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2723,"base":13},"right_expr":{"type":"numeric_atoms","value":7742,"base":13}}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1906,"base":13},"right_expr":{"type":"numeric_atoms","value":3699,"base":13}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2968,"base":13},"right_expr":{"type":"numeric_atoms","value":8182,"base":13}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2113,"base":13},"right_expr":{"type":"numeric_atoms","value":3144,"base":13}}}}},"used_operators":["2DDjHMKMc0","DpFCA1CohY","JLbD19bQDL","KYD54nUTWz","k8jYdgA6NY","fu6greOZ01","T2fj7uvVaJ","XhwjNDsVaA","jLgFTUHLKL","QMFrweE19q"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","3ViojmjbAp","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2723","layer":4},{"info":"number node, value=7742","layer":4},{"info":"compute binary expreesion, left_input=2723, right_input=7742, 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 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=1906","layer":4},{"info":"number node, value=3699","layer":4},{"info":"compute binary expreesion, left_input=1906, right_input=3699, op_id = T2fj7uvVaJ binary_op_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=2968","layer":4},{"info":"number node, value=8182","layer":4},{"info":"compute binary expreesion, left_input=2968, right_input=8182, op_id = XhwjNDsVaA binary_op_definition= 'None', 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":"number node, value=2113","layer":4},{"info":"number node, value=3144","layer":4},{"info":"compute binary expreesion, left_input=2113, right_input=3144, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=17636","layer":3},{"info":"compute unary expreesion, input=17636, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-138308","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-138308, op_id = k8jYdgA6NY binary_op_definition= 'None', 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":13,"result_base":13,"text":"(⋗⩬⋾(⪎⋱⫍1316⫥∨⫟⪎⋱⫍36A7⪠⩆⊳))⋝⋈⪟(⪎⋱⫍B38⋓⪎⋱⫍18B7⨐⩸⫘(⪎⋱⫍1474/⪎⋱⫍3955)%(↩(⪎⋱⫍C67⫡⨏⪎⋱⫍157B)))=NaN","reverse_text":"NaN=(⋗⩬⋾(⪎⋱⫍1316⫥∨⫟⪎⋱⫍36A7⪠⩆⊳))⋝⋈⪟(⪎⋱⫍B38⋓⪎⋱⫍18B7⨐⩸⫘(⪎⋱⫍1474/⪎⋱⫍3955)%(↩(⪎⋱⫍C67⫡⨏⪎⋱⫍157B)))","cot":[{"info":"⪎⋱⫍1316⫥∨⫟⪎⋱⫍36A7=NaN","layer":3},{"info":"NaN⪠⩆⊳=NaN","layer":2},{"info":"⋗⩬⋾NaN=NaN","layer":1},{"info":"⪎⋱⫍B38⋓⪎⋱⫍18B7=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍1474/⪎⋱⫍3955=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍0⨐⩸⫘⪎⋱⫍0=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍C67⫡⨏⪎⋱⫍157B=⪎⋱⫍8048","layer":3},{"info":"↩⪎⋱⫍8048=⪎⋱⫍-4AC51","layer":2},{"info":"⪎⋱⫍0%⪎⋱⫍-4AC51=⪎⋱⫍0","layer":1},{"info":"NaN⋝⋈⪟⪎⋱⫍0=NaN","layer":0}]}
{"id":141,"expression_no_base_symbol":"($1014$⪢$2418$⨎($5770$↙$4706$)⫸⊐((⊙↵-$1027$)⊉≛↸$1034$∀⇚≩$2964$))⨽($2828$⋳⪒$2981$⪒(≤/$1685$)+(≉$3542$⪛$5623$))","expression":"(⪎⋱⫍600⪢⪎⋱⫍1140⨎(⪎⋱⫍281B↙⪎⋱⫍21B0)⫸⊐((⊙↵-⪎⋱⫍610)⊉≛↸⪎⋱⫍617∀⇚≩⪎⋱⫍1470))⨽(⪎⋱⫍1397⋳⪒⪎⋱⫍1484⪒(≤/⪎⋱⫍9C8)+(≉⪎⋱⫍17C6⪛⪎⋱⫍2737))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":16440,"operation_count":14,"complexity_ratio":1174.2857142857142,"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":1014,"base":13},"right_expr":{"type":"numeric_atoms","value":2418,"base":13}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":5770,"base":13},"right_expr":{"type":"numeric_atoms","value":4706,"base":13}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1027,"base":13}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1034,"base":13},"right_expr":{"type":"numeric_atoms","value":2964,"base":13}}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2828,"base":13},"right_expr":{"type":"numeric_atoms","value":2981,"base":13}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1685,"base":13}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":3542,"base":13},"right_expr":{"type":"numeric_atoms","value":5623,"base":13}}}}},"used_operators":["8HhzD0ZcuI","mqXw5SEYmG","rJVOvQCfKK","dWAJyo7jo9","yyfyN0ffXY","DZ8iAZOCBD","oWn0xqSxBt","LRNGc0VcxI","W4YGzv6Whe","f6k1SAg4EE","12rbrZMWeM","eLAdDNolq6","e1ybzncUwg","uFcxV4UQCh"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","k8jYdgA6NY","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"⪎⋱⫍-778B03","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1014","layer":4},{"info":"number node, value=2418","layer":4},{"info":"compute binary expreesion, left_input=1014, right_input=2418, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=5770","layer":4},{"info":"number node, value=4706","layer":4},{"info":"compute binary expreesion, left_input=5770, right_input=4706, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-14118","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-14118, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-14118","layer":2},{"info":"number node, value=1027","layer":4},{"info":"compute unary expreesion, input=1027, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=1034","layer":4},{"info":"number node, value=2964","layer":4},{"info":"compute binary expreesion, left_input=1034, right_input=2964, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=-2","layer":2},{"info":"compute binary expreesion, left_input=-14118, right_input=-2, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=968","layer":1},{"info":"number node, value=2828","layer":4},{"info":"number node, value=2981","layer":4},{"info":"compute binary expreesion, left_input=2828, right_input=2981, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=2388","layer":3},{"info":"number node, value=1685","layer":4},{"info":"compute unary expreesion, input=1685, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1201","layer":3},{"info":"compute binary expreesion, left_input=2388, right_input=-1201, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-1187","layer":2},{"info":"number node, value=3542","layer":4},{"info":"number node, value=5623","layer":4},{"info":"compute binary expreesion, left_input=3542, right_input=5623, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=3542","layer":3},{"info":"compute unary expreesion, input=3542, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=4073","layer":2},{"info":"compute binary expreesion, left_input=-1187, right_input=4073, op_id = W4YGzv6Whe binary_op_definition= 'None', output=2886","layer":1},{"info":"compute binary expreesion, left_input=968, right_input=2886, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-2818416","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍600⪢⪎⋱⫍1140⨎(⪎⋱⫍281B↙⪎⋱⫍21B0)⫸⊐((⊙↵-⪎⋱⫍610)⊉≛↸⪎⋱⫍617∀⇚≩⪎⋱⫍1470))⨽(⪎⋱⫍1397⋳⪒⪎⋱⫍1484⪒(≤/⪎⋱⫍9C8)+(≉⪎⋱⫍17C6⪛⪎⋱⫍2737))=⪎⋱⫍-778B03","reverse_text":"⪎⋱⫍-778B03=(⪎⋱⫍600⪢⪎⋱⫍1140⨎(⪎⋱⫍281B↙⪎⋱⫍21B0)⫸⊐((⊙↵-⪎⋱⫍610)⊉≛↸⪎⋱⫍617∀⇚≩⪎⋱⫍1470))⨽(⪎⋱⫍1397⋳⪒⪎⋱⫍1484⪒(≤/⪎⋱⫍9C8)+(≉⪎⋱⫍17C6⪛⪎⋱⫍2737))","cot":[{"info":"⪎⋱⫍600⪢⪎⋱⫍1140=NaN","layer":3},{"info":"⪎⋱⫍281B↙⪎⋱⫍21B0=⪎⋱⫍-6570","layer":3},{"info":"NaN⨎⪎⋱⫍-6570=⪎⋱⫍-6570","layer":2},{"info":"⊙↵-⪎⋱⫍610=⪎⋱⫍-1","layer":3},{"info":"⪎⋱⫍617∀⇚≩⪎⋱⫍1470=NaN","layer":3},{"info":"⪎⋱⫍-1⊉≛↸NaN=⪎⋱⫍-2","layer":2},{"info":"⪎⋱⫍-6570⫸⊐⪎⋱⫍-2=⪎⋱⫍596","layer":1},{"info":"⪎⋱⫍1397⋳⪒⪎⋱⫍1484=⪎⋱⫍1119","layer":3},{"info":"≤/⪎⋱⫍9C8=⪎⋱⫍-715","layer":3},{"info":"⪎⋱⫍1119⪒⪎⋱⫍-715=⪎⋱⫍-704","layer":2},{"info":"⪎⋱⫍17C6⪛⪎⋱⫍2737=⪎⋱⫍17C6","layer":3},{"info":"≉⪎⋱⫍17C6=⪎⋱⫍1B14","layer":2},{"info":"⪎⋱⫍-704+⪎⋱⫍1B14=⪎⋱⫍1410","layer":1},{"info":"⪎⋱⫍596⨽⪎⋱⫍1410=⪎⋱⫍-778B03","layer":0}]}
{"id":142,"expression_no_base_symbol":"((↩($1262$⪠⩆⊳))⩚⊴⇥($2140$≧⫂∧$1103$)⊴($3137$⪢$3808$))≧⫂∧(⊙↵-(∂($1381$⩠)))","expression":"((↩(⪎⋱⫍761⪠⩆⊳))⩚⊴⇥(⪎⋱⫍C88≧⫂∧⪎⋱⫍66B)⊴(⪎⋱⫍1574⪢⪎⋱⫍196C))≧⫂∧(⊙↵-(∂(⪎⋱⫍823⩠)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4570,"operation_count":10,"complexity_ratio":457.0,"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":1262,"base":13}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2140,"base":13},"right_expr":{"type":"numeric_atoms","value":1103,"base":13}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":3137,"base":13},"right_expr":{"type":"numeric_atoms","value":3808,"base":13}}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":1381,"base":13}}}}},"used_operators":["Ph9nP6C5qx","NTOWxs364D","jLgFTUHLKL","JLbD19bQDL","Nsiff2A1zJ","dWAJyo7jo9","oWn0xqSxBt","Uaa54Peajs","sJAwomhLZr"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","k8jYdgA6NY","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C"],"result":"⪎⋱⫍-2A5","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1262","layer":4},{"info":"compute unary expreesion, input=1262, 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":"number node, value=2140","layer":4},{"info":"number node, value=1103","layer":4},{"info":"compute binary expreesion, left_input=2140, right_input=1103, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=630","layer":3},{"info":"number node, value=3137","layer":4},{"info":"number node, value=3808","layer":4},{"info":"compute binary expreesion, left_input=3137, right_input=3808, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=630, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=4844, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":1},{"info":"number node, value=1381","layer":4},{"info":"compute unary expreesion, input=1381, 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 = 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 unary expreesion, input=-264, 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 = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-473","layer":0}],"base":13,"result_base":13,"text":"((↩(⪎⋱⫍761⪠⩆⊳))⩚⊴⇥(⪎⋱⫍C88≧⫂∧⪎⋱⫍66B)⊴(⪎⋱⫍1574⪢⪎⋱⫍196C))≧⫂∧(⊙↵-(∂(⪎⋱⫍823⩠)))=⪎⋱⫍-2A5","reverse_text":"⪎⋱⫍-2A5=((↩(⪎⋱⫍761⪠⩆⊳))⩚⊴⇥(⪎⋱⫍C88≧⫂∧⪎⋱⫍66B)⊴(⪎⋱⫍1574⪢⪎⋱⫍196C))≧⫂∧(⊙↵-(∂(⪎⋱⫍823⩠)))","cot":[{"info":"⪎⋱⫍761⪠⩆⊳=⪎⋱⫍0","layer":3},{"info":"↩⪎⋱⫍0=⪎⋱⫍2288","layer":2},{"info":"⪎⋱⫍C88≧⫂∧⪎⋱⫍66B=⪎⋱⫍396","layer":3},{"info":"⪎⋱⫍1574⪢⪎⋱⫍196C=NaN","layer":3},{"info":"⪎⋱⫍396⊴NaN=NaN","layer":2},{"info":"⪎⋱⫍2288⩚⊴⇥NaN=NaN","layer":1},{"info":"⪎⋱⫍823⩠=⪎⋱⫍0","layer":3},{"info":"∂⪎⋱⫍0=⪎⋱⫍-174","layer":2},{"info":"⊙↵-⪎⋱⫍-174=⪎⋱⫍0","layer":1},{"info":"NaN≧⫂∧⪎⋱⫍0=⪎⋱⫍-2A5","layer":0}]}
{"id":143,"expression_no_base_symbol":"↔(($1987$⨎$1690$)∼($1409$⨐⩸⫘$2383$)⪄(⊥($7582$↛⩡⫤)))","expression":"↔((⪎⋱⫍B9B⨎⪎⋱⫍A00)∼(⪎⋱⫍845⨐⩸⫘⪎⋱⫍1114)⪄(⊥(⪎⋱⫍35B3↛⩡⫤)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":22946,"operation_count":7,"complexity_ratio":3278.0,"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":1987,"base":13},"right_expr":{"type":"numeric_atoms","value":1690,"base":13}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1409,"base":13},"right_expr":{"type":"numeric_atoms","value":2383,"base":13}}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":7582,"base":13}}}}},"used_operators":["ruOEQAzv1W","SUmda5xLS4","DyGG3AbaNP","rJVOvQCfKK","fu6greOZ01","Q3PJZHRvZv","FU0Cs4j7VP"],"dependent_operators":["XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","3ViojmjbAp","fu6greOZ01","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X"],"result":"⪎⋱⫍-18C1","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1987","layer":4},{"info":"number node, value=1690","layer":4},{"info":"compute binary expreesion, left_input=1987, right_input=1690, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1690","layer":3},{"info":"number node, value=1409","layer":4},{"info":"number node, value=2383","layer":4},{"info":"compute binary expreesion, left_input=1409, right_input=2383, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=1690, 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=7582","layer":4},{"info":"compute unary expreesion, input=7582, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-1140971","layer":3},{"info":"compute unary expreesion, input=-1140971, 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 = 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 = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-3706","layer":0}],"base":13,"result_base":13,"text":"↔((⪎⋱⫍B9B⨎⪎⋱⫍A00)∼(⪎⋱⫍845⨐⩸⫘⪎⋱⫍1114)⪄(⊥(⪎⋱⫍35B3↛⩡⫤)))=⪎⋱⫍-18C1","reverse_text":"⪎⋱⫍-18C1=↔((⪎⋱⫍B9B⨎⪎⋱⫍A00)∼(⪎⋱⫍845⨐⩸⫘⪎⋱⫍1114)⪄(⊥(⪎⋱⫍35B3↛⩡⫤)))","cot":[{"info":"⪎⋱⫍B9B⨎⪎⋱⫍A00=⪎⋱⫍A00","layer":3},{"info":"⪎⋱⫍845⨐⩸⫘⪎⋱⫍1114=NaN","layer":3},{"info":"⪎⋱⫍A00∼NaN=NaN","layer":2},{"info":"⪎⋱⫍35B3↛⩡⫤=⪎⋱⫍-30C440","layer":3},{"info":"⊥⪎⋱⫍-30C440=NaN","layer":2},{"info":"NaN⪄NaN=⪎⋱⫍1A71","layer":1},{"info":"↔⪎⋱⫍1A71=⪎⋱⫍-18C1","layer":0}]}
{"id":144,"expression_no_base_symbol":"(⇁⨣⪵($5320$⋓$5541$⪨≂$2347$↬$8918$))⊦⊿","expression":"(⇁⨣⪵(⪎⋱⫍2563⋓⪎⋱⫍26A3⪨≂⪎⋱⫍10B7↬⪎⋱⫍40A0))⊦⊿","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":26,"operation_count":5,"complexity_ratio":5.2,"tree":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":5320,"base":13},"right_expr":{"type":"numeric_atoms","value":5541,"base":13}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2347,"base":13},"right_expr":{"type":"numeric_atoms","value":8918,"base":13}}}}},"used_operators":["14qkJME0vr","inkyxCbjAn","sdazOOVcIp","T2fj7uvVaJ","B5M0gjZbta"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=5320","layer":4},{"info":"number node, value=5541","layer":4},{"info":"compute binary expreesion, left_input=5320, right_input=5541, op_id = T2fj7uvVaJ binary_op_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=2347","layer":4},{"info":"number node, value=8918","layer":4},{"info":"compute binary expreesion, left_input=2347, right_input=8918, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = 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 = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⇁⨣⪵(⪎⋱⫍2563⋓⪎⋱⫍26A3⪨≂⪎⋱⫍10B7↬⪎⋱⫍40A0))⊦⊿=NaN","reverse_text":"NaN=(⇁⨣⪵(⪎⋱⫍2563⋓⪎⋱⫍26A3⪨≂⪎⋱⫍10B7↬⪎⋱⫍40A0))⊦⊿","cot":[{"info":"⪎⋱⫍2563⋓⪎⋱⫍26A3=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍10B7↬⪎⋱⫍40A0=NaN","layer":3},{"info":"⪎⋱⫍0⪨≂NaN=NaN","layer":2},{"info":"⇁⨣⪵NaN=NaN","layer":1},{"info":"NaN⊦⊿=NaN","layer":0}]}
{"id":145,"expression_no_base_symbol":"((⨰⫟⨤$3297$)⪛($8418$⩨$8585$)↬(($2351$⊪)⨽$2199$+⇶⊼$1077$))⨟⋌⩍(⨰⫟⨤(($1533$⇼⇔∾$1355$)⨓($1146$⫌⩹⨱)))","expression":"((⨰⫟⨤⪎⋱⫍1668)⪛(⪎⋱⫍3AA7⩨⪎⋱⫍3BA5)↬((⪎⋱⫍10BB⊪)⨽⪎⋱⫍1002+⇶⊼⪎⋱⫍64B))⨟⋌⩍(⨰⫟⨤((⪎⋱⫍90C⇼⇔∾⪎⋱⫍803)⨓(⪎⋱⫍6A2⫌⩹⨱)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":31786,"operation_count":12,"complexity_ratio":2648.8333333333335,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":3297,"base":13}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":8418,"base":13},"right_expr":{"type":"numeric_atoms","value":8585,"base":13}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":2351,"base":13}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2199,"base":13},"right_expr":{"type":"numeric_atoms","value":1077,"base":13}}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1533,"base":13},"right_expr":{"type":"numeric_atoms","value":1355,"base":13}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":1146,"base":13}}}}},"used_operators":["rGHVDoGpnC","B5M0gjZbta","uFcxV4UQCh","Tw270M8GLb","2DlMacCsIx","8HhzD0ZcuI","zVYPLywUTj","TpPTUOHfaN","3ViojmjbAp","tifHPKVTfV","EBcxylXtPf"],"dependent_operators":["Tcnh7f0tEr","rGHVDoGpnC","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","AHs5Up7iyr","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3297","layer":4},{"info":"compute unary expreesion, input=3297, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=8418","layer":4},{"info":"number node, value=8585","layer":4},{"info":"compute binary expreesion, left_input=8418, right_input=8585, 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 = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":2},{"info":"number node, value=2351","layer":4},{"info":"compute unary expreesion, input=2351, 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=2199","layer":4},{"info":"number node, value=1077","layer":4},{"info":"compute binary expreesion, left_input=2199, right_input=1077, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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 = 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 = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=1533","layer":4},{"info":"number node, value=1355","layer":4},{"info":"compute binary expreesion, left_input=1533, right_input=1355, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-178","layer":3},{"info":"number node, value=1146","layer":4},{"info":"compute unary expreesion, input=1146, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=3693","layer":3},{"info":"compute binary expreesion, left_input=-178, right_input=3693, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3696","layer":2},{"info":"compute unary expreesion, input=-3696, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⨰⫟⨤⪎⋱⫍1668)⪛(⪎⋱⫍3AA7⩨⪎⋱⫍3BA5)↬((⪎⋱⫍10BB⊪)⨽⪎⋱⫍1002+⇶⊼⪎⋱⫍64B))⨟⋌⩍(⨰⫟⨤((⪎⋱⫍90C⇼⇔∾⪎⋱⫍803)⨓(⪎⋱⫍6A2⫌⩹⨱)))=NaN","reverse_text":"NaN=((⨰⫟⨤⪎⋱⫍1668)⪛(⪎⋱⫍3AA7⩨⪎⋱⫍3BA5)↬((⪎⋱⫍10BB⊪)⨽⪎⋱⫍1002+⇶⊼⪎⋱⫍64B))⨟⋌⩍(⨰⫟⨤((⪎⋱⫍90C⇼⇔∾⪎⋱⫍803)⨓(⪎⋱⫍6A2⫌⩹⨱)))","cot":[{"info":"⨰⫟⨤⪎⋱⫍1668=NaN","layer":3},{"info":"⪎⋱⫍3AA7⩨⪎⋱⫍3BA5=⪎⋱⫍-3","layer":3},{"info":"NaN⪛⪎⋱⫍-3=NaN","layer":2},{"info":"⪎⋱⫍10BB⊪=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍1002+⇶⊼⪎⋱⫍64B=NaN","layer":3},{"info":"⪎⋱⫍0⨽NaN=NaN","layer":2},{"info":"NaN↬NaN=NaN","layer":1},{"info":"⪎⋱⫍90C⇼⇔∾⪎⋱⫍803=⪎⋱⫍-109","layer":3},{"info":"⪎⋱⫍6A2⫌⩹⨱=⪎⋱⫍18B1","layer":3},{"info":"⪎⋱⫍-109⨓⪎⋱⫍18B1=⪎⋱⫍-18B4","layer":2},{"info":"⨰⫟⨤⪎⋱⫍-18B4=NaN","layer":1},{"info":"NaN⨟⋌⩍NaN=NaN","layer":0}]}
{"id":146,"expression_no_base_symbol":"⊙↵-(($1037$⊉≛↸$7633$)+⇶⊼($1462$⋳⪒$1057$)⩨(⪝⪂⫅($3078$+⇶⊼$1526$)))","expression":"⊙↵-((⪎⋱⫍61A⊉≛↸⪎⋱⫍3622)+⇶⊼(⪎⋱⫍886⋳⪒⪎⋱⫍634)⩨(⪝⪂⫅(⪎⋱⫍152A+⇶⊼⪎⋱⫍905)))","highest_n_order":5,"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":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1037,"base":13},"right_expr":{"type":"numeric_atoms","value":7633,"base":13}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1462,"base":13},"right_expr":{"type":"numeric_atoms","value":1057,"base":13}}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":3078,"base":13},"right_expr":{"type":"numeric_atoms","value":1526,"base":13}}}}},"used_operators":["oWn0xqSxBt","2DlMacCsIx","TpPTUOHfaN","DZ8iAZOCBD","12rbrZMWeM","XTarYq4gQB"],"dependent_operators":["dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1037","layer":4},{"info":"number node, value=7633","layer":4},{"info":"compute binary expreesion, left_input=1037, right_input=7633, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2074","layer":3},{"info":"number node, value=1462","layer":4},{"info":"number node, value=1057","layer":4},{"info":"compute binary expreesion, left_input=1462, right_input=1057, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=1580","layer":3},{"info":"compute binary expreesion, left_input=2074, right_input=1580, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=3078","layer":4},{"info":"number node, value=1526","layer":4},{"info":"compute binary expreesion, left_input=3078, right_input=1526, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=nan, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⊙↵-((⪎⋱⫍61A⊉≛↸⪎⋱⫍3622)+⇶⊼(⪎⋱⫍886⋳⪒⪎⋱⫍634)⩨(⪝⪂⫅(⪎⋱⫍152A+⇶⊼⪎⋱⫍905)))=NaN","reverse_text":"NaN=⊙↵-((⪎⋱⫍61A⊉≛↸⪎⋱⫍3622)+⇶⊼(⪎⋱⫍886⋳⪒⪎⋱⫍634)⩨(⪝⪂⫅(⪎⋱⫍152A+⇶⊼⪎⋱⫍905)))","cot":[{"info":"⪎⋱⫍61A⊉≛↸⪎⋱⫍3622=⪎⋱⫍C37","layer":3},{"info":"⪎⋱⫍886⋳⪒⪎⋱⫍634=⪎⋱⫍947","layer":3},{"info":"⪎⋱⫍C37+⇶⊼⪎⋱⫍947=NaN","layer":2},{"info":"⪎⋱⫍152A+⇶⊼⪎⋱⫍905=NaN","layer":3},{"info":"⪝⪂⫅NaN=NaN","layer":2},{"info":"NaN⩨NaN=NaN","layer":1},{"info":"⊙↵-NaN=NaN","layer":0}]}
{"id":147,"expression_no_base_symbol":"(($1010$⩚⊴⇥$2706$)∑⇟⊟($1195$⫡⨏$1567$))⪛($3821$⫡⨏$1290$+($2472$⨁⊸⫻))↺((+⊝⨔$1507$)⊴($1611$⋝⋈⪟$8706$)⊪)","expression":"((⪎⋱⫍5C9⩚⊴⇥⪎⋱⫍1302)∑⇟⊟(⪎⋱⫍70C⫡⨏⪎⋱⫍937))⪛(⪎⋱⫍197C⫡⨏⪎⋱⫍783+(⪎⋱⫍1182⨁⊸⫻))↺((+⊝⨔⪎⋱⫍8BC)⊴(⪎⋱⫍96C⋝⋈⪟⪎⋱⫍3C69)⊪)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1699,"operation_count":12,"complexity_ratio":141.58333333333334,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1010,"base":13},"right_expr":{"type":"numeric_atoms","value":2706,"base":13}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1195,"base":13},"right_expr":{"type":"numeric_atoms","value":1567,"base":13}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":3821,"base":13},"right_expr":{"type":"numeric_atoms","value":1290,"base":13}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":2472,"base":13}}}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":1507,"base":13}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1611,"base":13},"right_expr":{"type":"numeric_atoms","value":8706,"base":13}}}}},"used_operators":["7j4O788W3g","uFcxV4UQCh","U7g4x0WXJJ","NTOWxs364D","QMFrweE19q","W4YGzv6Whe","glklzrTFfD","zVYPLywUTj","Nsiff2A1zJ","DhbWaqg5eL","2DDjHMKMc0"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","dWAJyo7jo9","14qkJME0vr","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1010","layer":4},{"info":"number node, value=2706","layer":4},{"info":"compute binary expreesion, left_input=1010, right_input=2706, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3837","layer":3},{"info":"number node, value=1195","layer":4},{"info":"number node, value=1567","layer":4},{"info":"compute binary expreesion, left_input=1195, right_input=1567, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=9892","layer":3},{"info":"compute binary expreesion, left_input=-3837, right_input=9892, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=3821","layer":4},{"info":"number node, value=1290","layer":4},{"info":"compute binary expreesion, left_input=3821, right_input=1290, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=22468","layer":3},{"info":"number node, value=2472","layer":4},{"info":"compute unary expreesion, input=2472, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=2472","layer":3},{"info":"compute binary expreesion, left_input=22468, right_input=2472, op_id = W4YGzv6Whe binary_op_definition= 'None', output=24940","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=24940, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":1},{"info":"number node, value=1507","layer":4},{"info":"compute unary expreesion, input=1507, 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=1611","layer":4},{"info":"number node, value=8706","layer":4},{"info":"compute binary expreesion, left_input=1611, right_input=8706, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1611","layer":3},{"info":"compute binary expreesion, left_input=1522, right_input=1611, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', 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 = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍5C9⩚⊴⇥⪎⋱⫍1302)∑⇟⊟(⪎⋱⫍70C⫡⨏⪎⋱⫍937))⪛(⪎⋱⫍197C⫡⨏⪎⋱⫍783+(⪎⋱⫍1182⨁⊸⫻))↺((+⊝⨔⪎⋱⫍8BC)⊴(⪎⋱⫍96C⋝⋈⪟⪎⋱⫍3C69)⊪)=NaN","reverse_text":"NaN=((⪎⋱⫍5C9⩚⊴⇥⪎⋱⫍1302)∑⇟⊟(⪎⋱⫍70C⫡⨏⪎⋱⫍937))⪛(⪎⋱⫍197C⫡⨏⪎⋱⫍783+(⪎⋱⫍1182⨁⊸⫻))↺((+⊝⨔⪎⋱⫍8BC)⊴(⪎⋱⫍96C⋝⋈⪟⪎⋱⫍3C69)⊪)","cot":[{"info":"⪎⋱⫍5C9⩚⊴⇥⪎⋱⫍1302=⪎⋱⫍-1992","layer":3},{"info":"⪎⋱⫍70C⫡⨏⪎⋱⫍937=⪎⋱⫍466C","layer":3},{"info":"⪎⋱⫍-1992∑⇟⊟⪎⋱⫍466C=NaN","layer":2},{"info":"⪎⋱⫍197C⫡⨏⪎⋱⫍783=⪎⋱⫍A2C4","layer":3},{"info":"⪎⋱⫍1182⨁⊸⫻=⪎⋱⫍1182","layer":3},{"info":"⪎⋱⫍A2C4+⪎⋱⫍1182=⪎⋱⫍B476","layer":2},{"info":"NaN⪛⪎⋱⫍B476=NaN","layer":1},{"info":"+⊝⨔⪎⋱⫍8BC=⪎⋱⫍901","layer":3},{"info":"⪎⋱⫍96C⋝⋈⪟⪎⋱⫍3C69=⪎⋱⫍96C","layer":3},{"info":"⪎⋱⫍901⊴⪎⋱⫍96C=NaN","layer":2},{"info":"NaN⊪=NaN","layer":1},{"info":"NaN↺NaN=NaN","layer":0}]}
{"id":148,"expression_no_base_symbol":"(((⩦⩻⨪$5007$)⪄$1542$⪘⫢$2869$)+⇶⊼$2639$∼$3332$↬($1687$⫡⨏$7222$))⨟⋌⩍((≦∁$3359$⋓$4979$)≎⊠⪸($2491$⨓$7751$)⪮%⊝($8034$⋝⋈⪟$1379$))","expression":"(((⩦⩻⨪⪎⋱⫍2382)⪄⪎⋱⫍918⪘⫢⪎⋱⫍13C9)+⇶⊼⪎⋱⫍1280∼⪎⋱⫍1694↬(⪎⋱⫍9CA⫡⨏⪎⋱⫍3397))⨟⋌⩍((≦∁⪎⋱⫍16B5⋓⪎⋱⫍2360)≎⊠⪸(⪎⋱⫍1198⨓⪎⋱⫍36B3)⪮%⊝(⪎⋱⫍3870⋝⋈⪟⪎⋱⫍821))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":8263,"operation_count":14,"complexity_ratio":590.2142857142857,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":5007,"base":13}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1542,"base":13},"right_expr":{"type":"numeric_atoms","value":2869,"base":13}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2639,"base":13},"right_expr":{"type":"numeric_atoms","value":3332,"base":13}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1687,"base":13},"right_expr":{"type":"numeric_atoms","value":7222,"base":13}}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":3359,"base":13},"right_expr":{"type":"numeric_atoms","value":4979,"base":13}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2491,"base":13},"right_expr":{"type":"numeric_atoms","value":7751,"base":13}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":8034,"base":13},"right_expr":{"type":"numeric_atoms","value":1379,"base":13}}}}},"used_operators":["rGHVDoGpnC","TpPTUOHfaN","SUmda5xLS4","2td37pGCOC","oacrs7FA3X","B5M0gjZbta","DyGG3AbaNP","QMFrweE19q","bJkvcejdHO","9ICcGScMcE","T2fj7uvVaJ","IWmyXbctLI","3ViojmjbAp","2DDjHMKMc0"],"dependent_operators":["Tcnh7f0tEr","AHs5Up7iyr","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rGHVDoGpnC","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5007","layer":4},{"info":"compute unary expreesion, input=5007, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=5007","layer":3},{"info":"number node, value=1542","layer":4},{"info":"number node, value=2869","layer":4},{"info":"compute binary expreesion, left_input=1542, right_input=2869, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2960","layer":3},{"info":"compute binary expreesion, left_input=5007, right_input=2960, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-748965","layer":2},{"info":"number node, value=2639","layer":4},{"info":"number node, value=3332","layer":4},{"info":"compute binary expreesion, left_input=2639, 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=1687","layer":4},{"info":"number node, value=7222","layer":4},{"info":"compute binary expreesion, left_input=1687, right_input=7222, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=23662","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=23662, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=-748965, 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=3359","layer":4},{"info":"number node, value=4979","layer":4},{"info":"compute binary expreesion, left_input=3359, right_input=4979, op_id = T2fj7uvVaJ binary_op_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":"number node, value=2491","layer":4},{"info":"number node, value=7751","layer":4},{"info":"compute binary expreesion, left_input=2491, right_input=7751, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-7754","layer":3},{"info":"number node, value=8034","layer":4},{"info":"number node, value=1379","layer":4},{"info":"compute binary expreesion, left_input=8034, right_input=1379, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=8034","layer":3},{"info":"compute binary expreesion, left_input=-7754, right_input=8034, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-15192","layer":2},{"info":"compute binary expreesion, left_input=-320, right_input=-15192, 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":13,"result_base":13,"text":"(((⩦⩻⨪⪎⋱⫍2382)⪄⪎⋱⫍918⪘⫢⪎⋱⫍13C9)+⇶⊼⪎⋱⫍1280∼⪎⋱⫍1694↬(⪎⋱⫍9CA⫡⨏⪎⋱⫍3397))⨟⋌⩍((≦∁⪎⋱⫍16B5⋓⪎⋱⫍2360)≎⊠⪸(⪎⋱⫍1198⨓⪎⋱⫍36B3)⪮%⊝(⪎⋱⫍3870⋝⋈⪟⪎⋱⫍821))=NaN","reverse_text":"NaN=(((⩦⩻⨪⪎⋱⫍2382)⪄⪎⋱⫍918⪘⫢⪎⋱⫍13C9)+⇶⊼⪎⋱⫍1280∼⪎⋱⫍1694↬(⪎⋱⫍9CA⫡⨏⪎⋱⫍3397))⨟⋌⩍((≦∁⪎⋱⫍16B5⋓⪎⋱⫍2360)≎⊠⪸(⪎⋱⫍1198⨓⪎⋱⫍36B3)⪮%⊝(⪎⋱⫍3870⋝⋈⪟⪎⋱⫍821))","cot":[{"info":"⩦⩻⨪⪎⋱⫍2382=⪎⋱⫍2382","layer":3},{"info":"⪎⋱⫍918⪘⫢⪎⋱⫍13C9=⪎⋱⫍1469","layer":3},{"info":"⪎⋱⫍2382⪄⪎⋱⫍1469=⪎⋱⫍-202B99","layer":2},{"info":"⪎⋱⫍1280∼⪎⋱⫍1694=NaN","layer":3},{"info":"⪎⋱⫍9CA⫡⨏⪎⋱⫍3397=⪎⋱⫍AA02","layer":3},{"info":"NaN↬⪎⋱⫍AA02=NaN","layer":2},{"info":"⪎⋱⫍-202B99+⇶⊼NaN=NaN","layer":1},{"info":"⪎⋱⫍16B5⋓⪎⋱⫍2360=⪎⋱⫍0","layer":3},{"info":"≦∁⪎⋱⫍0=⪎⋱⫍-1B8","layer":2},{"info":"⪎⋱⫍1198⨓⪎⋱⫍36B3=⪎⋱⫍-36B6","layer":3},{"info":"⪎⋱⫍3870⋝⋈⪟⪎⋱⫍821=⪎⋱⫍3870","layer":3},{"info":"⪎⋱⫍-36B6⪮%⊝⪎⋱⫍3870=⪎⋱⫍-6BB8","layer":2},{"info":"⪎⋱⫍-1B8≎⊠⪸⪎⋱⫍-6BB8=⪎⋱⫍52","layer":1},{"info":"NaN⨟⋌⩍⪎⋱⫍52=NaN","layer":0}]}
{"id":149,"expression_no_base_symbol":"≉(($1479$⩤)⋓(↔$2690$)↛⩡⫤)","expression":"≉((⪎⋱⫍89A⩤)⋓(↔⪎⋱⫍12BC)↛⩡⫤)","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":89,"operation_count":5,"complexity_ratio":17.8,"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":1479,"base":13}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":2690,"base":13}}}}},"used_operators":["e1ybzncUwg","FU0Cs4j7VP","T2fj7uvVaJ","Z2TMIBDE3Q","ruOEQAzv1W"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp"],"result":"⪎⋱⫍31B","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1479","layer":4},{"info":"compute unary expreesion, input=1479, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-1479","layer":3},{"info":"number node, value=2690","layer":4},{"info":"compute unary expreesion, input=2690, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-2417","layer":3},{"info":"compute binary expreesion, left_input=-1479, right_input=-2417, op_id = T2fj7uvVaJ binary_op_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 = 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 unary expreesion, input=0, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=531","layer":0}],"base":13,"result_base":13,"text":"≉((⪎⋱⫍89A⩤)⋓(↔⪎⋱⫍12BC)↛⩡⫤)=⪎⋱⫍31B","reverse_text":"⪎⋱⫍31B=≉((⪎⋱⫍89A⩤)⋓(↔⪎⋱⫍12BC)↛⩡⫤)","cot":[{"info":"⪎⋱⫍89A⩤=⪎⋱⫍-89A","layer":3},{"info":"↔⪎⋱⫍12BC=⪎⋱⫍-113C","layer":3},{"info":"⪎⋱⫍-89A⋓⪎⋱⫍-113C=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍0↛⩡⫤=⪎⋱⫍0","layer":1},{"info":"≉⪎⋱⫍0=⪎⋱⫍31B","layer":0}]}
{"id":150,"expression_no_base_symbol":"((⩦⩻⨪($2503$⫡⨏$1005$))⊭↱($6104$⪨≂$3059$)≎⊠⪸($1423$∲⫓$3039$))≹⇙⪍(($1148$⪐)⋝⋈⪟($1329$⪨≂$7835$)⊘)","expression":"((⩦⩻⨪(⪎⋱⫍11A7⫡⨏⪎⋱⫍5C4))⊭↱(⪎⋱⫍2A17⪨≂⪎⋱⫍1514)≎⊠⪸(⪎⋱⫍856∲⫓⪎⋱⫍14CA))≹⇙⪍((⪎⋱⫍6A4⪐)⋝⋈⪟(⪎⋱⫍7B3⪨≂⪎⋱⫍3749)⊘)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":323,"operation_count":11,"complexity_ratio":29.363636363636363,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2503,"base":13},"right_expr":{"type":"numeric_atoms","value":1005,"base":13}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":6104,"base":13},"right_expr":{"type":"numeric_atoms","value":3059,"base":13}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1423,"base":13},"right_expr":{"type":"numeric_atoms","value":3039,"base":13}}}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":1148,"base":13}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1329,"base":13},"right_expr":{"type":"numeric_atoms","value":7835,"base":13}}}}},"used_operators":["AHs5Up7iyr","COABgblf1C","2td37pGCOC","QMFrweE19q","bJkvcejdHO","sdazOOVcIp","i8ToyICDmI","gu96TGCTMs","2DDjHMKMc0","eH2TOUuTDT"],"dependent_operators":["dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍87273C","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2503","layer":4},{"info":"number node, value=1005","layer":4},{"info":"compute binary expreesion, left_input=2503, 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=15308","layer":3},{"info":"compute unary expreesion, input=15308, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=15308","layer":2},{"info":"number node, value=6104","layer":4},{"info":"number node, value=3059","layer":4},{"info":"compute binary expreesion, left_input=6104, right_input=3059, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=6192","layer":3},{"info":"number node, value=1423","layer":4},{"info":"number node, value=3039","layer":4},{"info":"compute binary expreesion, left_input=1423, right_input=3039, 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=6192, right_input=0, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1603255","layer":2},{"info":"compute binary expreesion, left_input=15308, right_input=1603255, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=3175899","layer":1},{"info":"number node, value=1148","layer":4},{"info":"compute unary expreesion, input=1148, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=2296","layer":3},{"info":"number node, value=1329","layer":4},{"info":"number node, value=7835","layer":4},{"info":"compute binary expreesion, left_input=1329, right_input=7835, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-12910","layer":3},{"info":"compute binary expreesion, left_input=2296, right_input=-12910, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2296","layer":2},{"info":"compute unary expreesion, input=2296, 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=3175899, 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=3175899","layer":0}],"base":13,"result_base":13,"text":"((⩦⩻⨪(⪎⋱⫍11A7⫡⨏⪎⋱⫍5C4))⊭↱(⪎⋱⫍2A17⪨≂⪎⋱⫍1514)≎⊠⪸(⪎⋱⫍856∲⫓⪎⋱⫍14CA))≹⇙⪍((⪎⋱⫍6A4⪐)⋝⋈⪟(⪎⋱⫍7B3⪨≂⪎⋱⫍3749)⊘)=⪎⋱⫍87273C","reverse_text":"⪎⋱⫍87273C=((⩦⩻⨪(⪎⋱⫍11A7⫡⨏⪎⋱⫍5C4))⊭↱(⪎⋱⫍2A17⪨≂⪎⋱⫍1514)≎⊠⪸(⪎⋱⫍856∲⫓⪎⋱⫍14CA))≹⇙⪍((⪎⋱⫍6A4⪐)⋝⋈⪟(⪎⋱⫍7B3⪨≂⪎⋱⫍3749)⊘)","cot":[{"info":"⪎⋱⫍11A7⫡⨏⪎⋱⫍5C4=⪎⋱⫍6C77","layer":3},{"info":"⩦⩻⨪⪎⋱⫍6C77=⪎⋱⫍6C77","layer":2},{"info":"⪎⋱⫍2A17⪨≂⪎⋱⫍1514=⪎⋱⫍2A84","layer":3},{"info":"⪎⋱⫍856∲⫓⪎⋱⫍14CA=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍2A84≎⊠⪸⪎⋱⫍0=⪎⋱⫍441994","layer":2},{"info":"⪎⋱⫍6C77⊭↱⪎⋱⫍441994=⪎⋱⫍87273C","layer":1},{"info":"⪎⋱⫍6A4⪐=⪎⋱⫍1078","layer":3},{"info":"⪎⋱⫍7B3⪨≂⪎⋱⫍3749=⪎⋱⫍-5B51","layer":3},{"info":"⪎⋱⫍1078⋝⋈⪟⪎⋱⫍-5B51=⪎⋱⫍1078","layer":2},{"info":"⪎⋱⫍1078⊘=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍87273C≹⇙⪍⪎⋱⫍0=⪎⋱⫍87273C","layer":0}]}
{"id":151,"expression_no_base_symbol":"(⨈⫕$6140$⊴$6903$)⨰(⪲⇎$2986$∼$2062$)⋫","expression":"(⨈⫕⪎⋱⫍2A44⊴⪎⋱⫍31B0)⨰(⪲⇎⪎⋱⫍1489∼⪎⋱⫍C28)⋫","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":7364,"operation_count":6,"complexity_ratio":1227.3333333333333,"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":6140,"base":13},"right_expr":{"type":"numeric_atoms","value":6903,"base":13}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2986,"base":13},"right_expr":{"type":"numeric_atoms","value":2062,"base":13}}}}},"used_operators":["JL8yIekQnl","eewbuw0ToL","megm06wKyl","Nsiff2A1zJ","XPYlsWDdGa","DyGG3AbaNP"],"dependent_operators":["tmPS8pqC7x","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=6140","layer":4},{"info":"number node, value=6903","layer":4},{"info":"compute binary expreesion, left_input=6140, right_input=6903, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', 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=2986","layer":4},{"info":"number node, value=2062","layer":4},{"info":"compute binary expreesion, left_input=2986, right_input=2062, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-21, 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 = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⨈⫕⪎⋱⫍2A44⊴⪎⋱⫍31B0)⨰(⪲⇎⪎⋱⫍1489∼⪎⋱⫍C28)⋫=NaN","reverse_text":"NaN=(⨈⫕⪎⋱⫍2A44⊴⪎⋱⫍31B0)⨰(⪲⇎⪎⋱⫍1489∼⪎⋱⫍C28)⋫","cot":[{"info":"⪎⋱⫍2A44⊴⪎⋱⫍31B0=NaN","layer":3},{"info":"⨈⫕NaN=⪎⋱⫍-18","layer":2},{"info":"⪎⋱⫍1489∼⪎⋱⫍C28=NaN","layer":3},{"info":"⪲⇎NaN=NaN","layer":2},{"info":"⪎⋱⫍-18⨰NaN=NaN","layer":1},{"info":"NaN⋫=NaN","layer":0}]}
{"id":152,"expression_no_base_symbol":"(($6202$≭$5775$⋷($2300$/$1151$))∀⇚≩(⪝⪂⫅($1844$≎⊠⪸$1106$)))⪘⫢((($1255$↙$4012$)⨎($9018$+$2668$))∧)","expression":"((⪎⋱⫍2A91≭⪎⋱⫍2823⋷(⪎⋱⫍107C/⪎⋱⫍6A7))∀⇚≩(⪝⪂⫅(⪎⋱⫍ABB≎⊠⪸⪎⋱⫍671)))⪘⫢(((⪎⋱⫍757↙⪎⋱⫍1A98)⨎(⪎⋱⫍4149+⪎⋱⫍12A3))∧)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":4457,"operation_count":11,"complexity_ratio":405.1818181818182,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":6202,"base":13},"right_expr":{"type":"numeric_atoms","value":5775,"base":13}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2300,"base":13},"right_expr":{"type":"numeric_atoms","value":1151,"base":13}}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1844,"base":13},"right_expr":{"type":"numeric_atoms","value":1106,"base":13}}}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1255,"base":13},"right_expr":{"type":"numeric_atoms","value":4012,"base":13}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":9018,"base":13},"right_expr":{"type":"numeric_atoms","value":2668,"base":13}}}}},"used_operators":["oacrs7FA3X","LRNGc0VcxI","23Mk6UjR3U","rxpJgHHUmx","XhwjNDsVaA","XTarYq4gQB","bJkvcejdHO","z63VuFQld9","rJVOvQCfKK","yyfyN0ffXY","W4YGzv6Whe"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","rysDP5nf3Z","9HNa5Wba9A","8w2t5hMYqp","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","tmPS8pqC7x","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=6202","layer":4},{"info":"number node, value=5775","layer":4},{"info":"compute binary expreesion, left_input=6202, right_input=5775, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=2300","layer":4},{"info":"number node, value=1151","layer":4},{"info":"compute binary expreesion, left_input=2300, right_input=1151, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":2},{"info":"number node, value=1844","layer":4},{"info":"number node, value=1106","layer":4},{"info":"compute binary expreesion, left_input=1844, right_input=1106, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=477123","layer":3},{"info":"compute unary expreesion, input=477123, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-70137081","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-70137081, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=1255","layer":4},{"info":"number node, value=4012","layer":4},{"info":"compute binary expreesion, left_input=1255, right_input=4012, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-12036","layer":3},{"info":"number node, value=9018","layer":4},{"info":"number node, value=2668","layer":4},{"info":"compute binary expreesion, left_input=9018, right_input=2668, op_id = W4YGzv6Whe binary_op_definition= 'None', output=11686","layer":3},{"info":"compute binary expreesion, left_input=-12036, right_input=11686, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=11686","layer":2},{"info":"compute unary expreesion, input=11686, 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 = 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":13,"result_base":13,"text":"((⪎⋱⫍2A91≭⪎⋱⫍2823⋷(⪎⋱⫍107C/⪎⋱⫍6A7))∀⇚≩(⪝⪂⫅(⪎⋱⫍ABB≎⊠⪸⪎⋱⫍671)))⪘⫢(((⪎⋱⫍757↙⪎⋱⫍1A98)⨎(⪎⋱⫍4149+⪎⋱⫍12A3))∧)=NaN","reverse_text":"NaN=((⪎⋱⫍2A91≭⪎⋱⫍2823⋷(⪎⋱⫍107C/⪎⋱⫍6A7))∀⇚≩(⪝⪂⫅(⪎⋱⫍ABB≎⊠⪸⪎⋱⫍671)))⪘⫢(((⪎⋱⫍757↙⪎⋱⫍1A98)⨎(⪎⋱⫍4149+⪎⋱⫍12A3))∧)","cot":[{"info":"⪎⋱⫍2A91≭⪎⋱⫍2823=NaN","layer":3},{"info":"⪎⋱⫍107C/⪎⋱⫍6A7=⪎⋱⫍1","layer":3},{"info":"NaN⋷⪎⋱⫍1=NaN","layer":2},{"info":"⪎⋱⫍ABB≎⊠⪸⪎⋱⫍671=⪎⋱⫍13922A","layer":3},{"info":"⪝⪂⫅⪎⋱⫍13922A=⪎⋱⫍-116B9041","layer":2},{"info":"NaN∀⇚≩⪎⋱⫍-116B9041=NaN","layer":1},{"info":"⪎⋱⫍757↙⪎⋱⫍1A98=⪎⋱⫍-562B","layer":3},{"info":"⪎⋱⫍4149+⪎⋱⫍12A3=⪎⋱⫍541C","layer":3},{"info":"⪎⋱⫍-562B⨎⪎⋱⫍541C=⪎⋱⫍541C","layer":2},{"info":"⪎⋱⫍541C∧=NaN","layer":1},{"info":"NaN⪘⫢NaN=NaN","layer":0}]}
{"id":153,"expression_no_base_symbol":"($3641$⪮%⊝$6920$⋳⪒($2215$⨸⪁$6476$))⨪↰⇹($1002$≎⊠⪸$1068$∲⫓(⪝⪂⫅$2674$))⋝⋈⪟(≦∁(($4040$⋓$1159$)∧))","expression":"(⪎⋱⫍1871⪮%⊝⪎⋱⫍31C4⋳⪒(⪎⋱⫍1015⨸⪁⪎⋱⫍2C42))⨪↰⇹(⪎⋱⫍5C1≎⊠⪸⪎⋱⫍642∲⫓(⪝⪂⫅⪎⋱⫍12A9))⋝⋈⪟(≦∁((⪎⋱⫍1ABA⋓⪎⋱⫍6B2)∧))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2961,"operation_count":11,"complexity_ratio":269.1818181818182,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":3641,"base":13},"right_expr":{"type":"numeric_atoms","value":6920,"base":13}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2215,"base":13},"right_expr":{"type":"numeric_atoms","value":6476,"base":13}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1002,"base":13},"right_expr":{"type":"numeric_atoms","value":1068,"base":13}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":2674,"base":13}}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":4040,"base":13},"right_expr":{"type":"numeric_atoms","value":1159,"base":13}}}}},"used_operators":["2DDjHMKMc0","tmPS8pqC7x","12rbrZMWeM","IWmyXbctLI","g55IO6H4Gj","i8ToyICDmI","bJkvcejdHO","XTarYq4gQB","9ICcGScMcE","z63VuFQld9","T2fj7uvVaJ"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","9HNa5Wba9A","8w2t5hMYqp","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"⪎⋱⫍1183","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3641","layer":4},{"info":"number node, value=6920","layer":4},{"info":"compute binary expreesion, left_input=3641, right_input=6920, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=7598","layer":3},{"info":"number node, value=2215","layer":4},{"info":"number node, value=6476","layer":4},{"info":"compute binary expreesion, left_input=2215, right_input=6476, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=17382","layer":3},{"info":"compute binary expreesion, left_input=7598, right_input=17382, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-2473","layer":2},{"info":"number node, value=1002","layer":4},{"info":"number node, value=1068","layer":4},{"info":"compute binary expreesion, left_input=1002, right_input=1068, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=259045","layer":3},{"info":"number node, value=2674","layer":4},{"info":"compute unary expreesion, input=2674, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-393078","layer":3},{"info":"compute binary expreesion, left_input=259045, right_input=-393078, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=259045","layer":2},{"info":"compute binary expreesion, left_input=-2473, right_input=259045, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=2473","layer":1},{"info":"number node, value=4040","layer":4},{"info":"number node, value=1159","layer":4},{"info":"compute binary expreesion, left_input=4040, right_input=1159, op_id = T2fj7uvVaJ binary_op_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 = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=-320","layer":1},{"info":"compute binary expreesion, left_input=2473, right_input=-320, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2473","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍1871⪮%⊝⪎⋱⫍31C4⋳⪒(⪎⋱⫍1015⨸⪁⪎⋱⫍2C42))⨪↰⇹(⪎⋱⫍5C1≎⊠⪸⪎⋱⫍642∲⫓(⪝⪂⫅⪎⋱⫍12A9))⋝⋈⪟(≦∁((⪎⋱⫍1ABA⋓⪎⋱⫍6B2)∧))=⪎⋱⫍1183","reverse_text":"⪎⋱⫍1183=(⪎⋱⫍1871⪮%⊝⪎⋱⫍31C4⋳⪒(⪎⋱⫍1015⨸⪁⪎⋱⫍2C42))⨪↰⇹(⪎⋱⫍5C1≎⊠⪸⪎⋱⫍642∲⫓(⪝⪂⫅⪎⋱⫍12A9))⋝⋈⪟(≦∁((⪎⋱⫍1ABA⋓⪎⋱⫍6B2)∧))","cot":[{"info":"⪎⋱⫍1871⪮%⊝⪎⋱⫍31C4=⪎⋱⫍35C6","layer":3},{"info":"⪎⋱⫍1015⨸⪁⪎⋱⫍2C42=⪎⋱⫍7BB1","layer":3},{"info":"⪎⋱⫍35C6⋳⪒⪎⋱⫍7BB1=⪎⋱⫍-1183","layer":2},{"info":"⪎⋱⫍5C1≎⊠⪸⪎⋱⫍642=⪎⋱⫍90BA7","layer":3},{"info":"⪝⪂⫅⪎⋱⫍12A9=⪎⋱⫍-109BBA","layer":3},{"info":"⪎⋱⫍90BA7∲⫓⪎⋱⫍-109BBA=⪎⋱⫍90BA7","layer":2},{"info":"⪎⋱⫍-1183⨪↰⇹⪎⋱⫍90BA7=⪎⋱⫍1183","layer":1},{"info":"⪎⋱⫍1ABA⋓⪎⋱⫍6B2=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍0∧=⪎⋱⫍0","layer":2},{"info":"≦∁⪎⋱⫍0=⪎⋱⫍-1B8","layer":1},{"info":"⪎⋱⫍1183⋝⋈⪟⪎⋱⫍-1B8=⪎⋱⫍1183","layer":0}]}
{"id":154,"expression_no_base_symbol":"($1656$⨸⪁$1458$)⪘⫢$1559$⪮%⊝$3434$+⇶⊼($2863$≭$2922$)⨰($1134$⇼⇔∾$2604$)⫸⊐(($3906$↺$5479$)∀⇚≩($3486$↙$2701$)⇼⇔∾((↽≂$1453$)⪒$6462$⪒$2174$))","expression":"(⪎⋱⫍9A5⨸⪁⪎⋱⫍882)⪘⫢⪎⋱⫍92C⪮%⊝⪎⋱⫍1742+⇶⊼(⪎⋱⫍13C3≭⪎⋱⫍143A)⨰(⪎⋱⫍693⇼⇔∾⪎⋱⫍1254)⫸⊐((⪎⋱⫍1A16↺⪎⋱⫍2656)∀⇚≩(⪎⋱⫍1782↙⪎⋱⫍12CA)⇼⇔∾((↽≂⪎⋱⫍87A)⪒⪎⋱⫍2C31⪒⪎⋱⫍CB3))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":41111,"operation_count":15,"complexity_ratio":2740.733333333333,"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":1656,"base":13},"right_expr":{"type":"numeric_atoms","value":1458,"base":13}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1559,"base":13},"right_expr":{"type":"numeric_atoms","value":3434,"base":13}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2863,"base":13},"right_expr":{"type":"numeric_atoms","value":2922,"base":13}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1134,"base":13},"right_expr":{"type":"numeric_atoms","value":2604,"base":13}}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":3906,"base":13},"right_expr":{"type":"numeric_atoms","value":5479,"base":13}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":3486,"base":13},"right_expr":{"type":"numeric_atoms","value":2701,"base":13}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":1453,"base":13}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":6462,"base":13},"right_expr":{"type":"numeric_atoms","value":2174,"base":13}}}}},"used_operators":["mqXw5SEYmG","TpPTUOHfaN","oacrs7FA3X","g55IO6H4Gj","IWmyXbctLI","eewbuw0ToL","rxpJgHHUmx","tifHPKVTfV","LRNGc0VcxI","7j4O788W3g","yyfyN0ffXY","f6k1SAg4EE","u6S6b8DprG"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","AHs5Up7iyr","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1656","layer":4},{"info":"number node, value=1458","layer":4},{"info":"compute binary expreesion, left_input=1656, right_input=1458, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=6228","layer":3},{"info":"number node, value=1559","layer":4},{"info":"number node, value=3434","layer":4},{"info":"compute binary expreesion, left_input=1559, right_input=3434, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3434","layer":3},{"info":"compute binary expreesion, left_input=6228, right_input=3434, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=12332","layer":2},{"info":"number node, value=2863","layer":4},{"info":"number node, value=2922","layer":4},{"info":"compute binary expreesion, left_input=2863, right_input=2922, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=1134","layer":4},{"info":"number node, value=2604","layer":4},{"info":"compute binary expreesion, left_input=1134, right_input=2604, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1470","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1470, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=12332, 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=3906","layer":4},{"info":"number node, value=5479","layer":4},{"info":"compute binary expreesion, left_input=3906, right_input=5479, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=5479","layer":3},{"info":"number node, value=3486","layer":4},{"info":"number node, value=2701","layer":4},{"info":"compute binary expreesion, left_input=3486, right_input=2701, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-8103","layer":3},{"info":"compute binary expreesion, left_input=5479, right_input=-8103, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=1453","layer":4},{"info":"compute unary expreesion, input=1453, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-2906","layer":3},{"info":"number node, value=6462","layer":4},{"info":"number node, value=2174","layer":4},{"info":"compute binary expreesion, left_input=6462, right_input=2174, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-8636","layer":3},{"info":"compute binary expreesion, left_input=-2906, right_input=-8636, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=11542","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=11542, 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 = 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":13,"result_base":13,"text":"(⪎⋱⫍9A5⨸⪁⪎⋱⫍882)⪘⫢⪎⋱⫍92C⪮%⊝⪎⋱⫍1742+⇶⊼(⪎⋱⫍13C3≭⪎⋱⫍143A)⨰(⪎⋱⫍693⇼⇔∾⪎⋱⫍1254)⫸⊐((⪎⋱⫍1A16↺⪎⋱⫍2656)∀⇚≩(⪎⋱⫍1782↙⪎⋱⫍12CA)⇼⇔∾((↽≂⪎⋱⫍87A)⪒⪎⋱⫍2C31⪒⪎⋱⫍CB3))=NaN","reverse_text":"NaN=(⪎⋱⫍9A5⨸⪁⪎⋱⫍882)⪘⫢⪎⋱⫍92C⪮%⊝⪎⋱⫍1742+⇶⊼(⪎⋱⫍13C3≭⪎⋱⫍143A)⨰(⪎⋱⫍693⇼⇔∾⪎⋱⫍1254)⫸⊐((⪎⋱⫍1A16↺⪎⋱⫍2656)∀⇚≩(⪎⋱⫍1782↙⪎⋱⫍12CA)⇼⇔∾((↽≂⪎⋱⫍87A)⪒⪎⋱⫍2C31⪒⪎⋱⫍CB3))","cot":[{"info":"⪎⋱⫍9A5⨸⪁⪎⋱⫍882=⪎⋱⫍2AB1","layer":3},{"info":"⪎⋱⫍92C⪮%⊝⪎⋱⫍1742=⪎⋱⫍1742","layer":3},{"info":"⪎⋱⫍2AB1⪘⫢⪎⋱⫍1742=⪎⋱⫍57C8","layer":2},{"info":"⪎⋱⫍13C3≭⪎⋱⫍143A=NaN","layer":3},{"info":"⪎⋱⫍693⇼⇔∾⪎⋱⫍1254=⪎⋱⫍891","layer":3},{"info":"NaN⨰⪎⋱⫍891=NaN","layer":2},{"info":"⪎⋱⫍57C8+⇶⊼NaN=NaN","layer":1},{"info":"⪎⋱⫍1A16↺⪎⋱⫍2656=⪎⋱⫍2656","layer":3},{"info":"⪎⋱⫍1782↙⪎⋱⫍12CA=⪎⋱⫍-38C4","layer":3},{"info":"⪎⋱⫍2656∀⇚≩⪎⋱⫍-38C4=NaN","layer":2},{"info":"↽≂⪎⋱⫍87A=⪎⋱⫍-1427","layer":3},{"info":"⪎⋱⫍2C31⪒⪎⋱⫍CB3=⪎⋱⫍-3C14","layer":3},{"info":"⪎⋱⫍-1427⪒⪎⋱⫍-3C14=⪎⋱⫍533B","layer":2},{"info":"NaN⇼⇔∾⪎⋱⫍533B=NaN","layer":1},{"info":"NaN⫸⊐NaN=NaN","layer":0}]}
{"id":155,"expression_no_base_symbol":"∥⊫(($3572$⋷$2088$)⪄($1564$⨵⪆$2194$)⫡⨏(⫛⫱⨽$3806$)⨪↰⇹($7073$↛⩡⫤))","expression":"∥⊫((⪎⋱⫍181A⋷⪎⋱⫍C48)⪄(⪎⋱⫍934⨵⪆⪎⋱⫍CCA)⫡⨏(⫛⫱⨽⪎⋱⫍196A)⨪↰⇹(⪎⋱⫍32B1↛⩡⫤))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":22885,"operation_count":8,"complexity_ratio":2860.625,"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":3572,"base":13},"right_expr":{"type":"numeric_atoms","value":2088,"base":13}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1564,"base":13},"right_expr":{"type":"numeric_atoms","value":2194,"base":13}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":3806,"base":13}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":7073,"base":13}}}}},"used_operators":["P8v4zCKN1o","QMFrweE19q","SUmda5xLS4","23Mk6UjR3U","2DQ55sFlQl","tmPS8pqC7x","DlLNRPXxWL","FU0Cs4j7VP"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","rGHVDoGpnC","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X"],"result":"⪎⋱⫍-43","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3572","layer":4},{"info":"number node, value=2088","layer":4},{"info":"compute binary expreesion, left_input=3572, right_input=2088, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=604","layer":3},{"info":"number node, value=1564","layer":4},{"info":"number node, value=2194","layer":4},{"info":"compute binary expreesion, left_input=1564, right_input=2194, 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=604, right_input=160, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-86121","layer":2},{"info":"number node, value=3806","layer":4},{"info":"compute unary expreesion, input=3806, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=7073","layer":4},{"info":"compute unary expreesion, input=7073, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-1064112","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-1064112, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((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=-86121, 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=-429822","layer":1},{"info":"compute unary expreesion, input=-429822, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=-55","layer":0}],"base":13,"result_base":13,"text":"∥⊫((⪎⋱⫍181A⋷⪎⋱⫍C48)⪄(⪎⋱⫍934⨵⪆⪎⋱⫍CCA)⫡⨏(⫛⫱⨽⪎⋱⫍196A)⨪↰⇹(⪎⋱⫍32B1↛⩡⫤))=⪎⋱⫍-43","reverse_text":"⪎⋱⫍-43=∥⊫((⪎⋱⫍181A⋷⪎⋱⫍C48)⪄(⪎⋱⫍934⨵⪆⪎⋱⫍CCA)⫡⨏(⫛⫱⨽⪎⋱⫍196A)⨪↰⇹(⪎⋱⫍32B1↛⩡⫤))","cot":[{"info":"⪎⋱⫍181A⋷⪎⋱⫍C48=⪎⋱⫍376","layer":3},{"info":"⪎⋱⫍934⨵⪆⪎⋱⫍CCA=⪎⋱⫍C4","layer":3},{"info":"⪎⋱⫍376⪄⪎⋱⫍C4=⪎⋱⫍-30279","layer":2},{"info":"⫛⫱⨽⪎⋱⫍196A=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍32B1↛⩡⫤=⪎⋱⫍-2B346A","layer":3},{"info":"⪎⋱⫍0⨪↰⇹⪎⋱⫍-2B346A=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍-30279⫡⨏⪎⋱⫍0=⪎⋱⫍-120843","layer":1},{"info":"∥⊫⪎⋱⫍-120843=⪎⋱⫍-43","layer":0}]}
{"id":156,"expression_no_base_symbol":"($4978$⨓$4859$⨓($2995$⋓$3600$)⫸⊐($1515$⋫)≹⇙⪍($2578$≎⊠⪸$1092$))⨰((↣≠⋷$3376$)⋝⋈⪟$1158$⪛$2316$⇼⇔∾($3652$⋓$8508$)↬($2038$⊭∹↮))","expression":"(⪎⋱⫍235C⨓⪎⋱⫍229A⨓(⪎⋱⫍1495⋓⪎⋱⫍183C)⫸⊐(⪎⋱⫍8C7⋫)≹⇙⪍(⪎⋱⫍1234≎⊠⪸⪎⋱⫍660))⨰((↣≠⋷⪎⋱⫍16C9)⋝⋈⪟⪎⋱⫍6B1⪛⪎⋱⫍1092⇼⇔∾(⪎⋱⫍187C⋓⪎⋱⫍3B46)↬(⪎⋱⫍C0A⊭∹↮))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":6713,"operation_count":15,"complexity_ratio":447.53333333333336,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":4978,"base":13},"right_expr":{"type":"numeric_atoms","value":4859,"base":13}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2995,"base":13},"right_expr":{"type":"numeric_atoms","value":3600,"base":13}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":1515,"base":13}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2578,"base":13},"right_expr":{"type":"numeric_atoms","value":1092,"base":13}}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":3376,"base":13}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1158,"base":13},"right_expr":{"type":"numeric_atoms","value":2316,"base":13}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":3652,"base":13},"right_expr":{"type":"numeric_atoms","value":8508,"base":13}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":2038,"base":13}}}}},"used_operators":["eewbuw0ToL","mqXw5SEYmG","3ViojmjbAp","T2fj7uvVaJ","AHs5Up7iyr","JL8yIekQnl","bJkvcejdHO","tifHPKVTfV","2DDjHMKMc0","Asc51vEJeQ","uFcxV4UQCh","B5M0gjZbta","xNBdhnnwKq"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","dWAJyo7jo9","tmPS8pqC7x","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rGHVDoGpnC","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4978","layer":4},{"info":"number node, value=4859","layer":4},{"info":"compute binary expreesion, left_input=4978, right_input=4859, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-4862","layer":3},{"info":"number node, value=2995","layer":4},{"info":"number node, value=3600","layer":4},{"info":"compute binary expreesion, left_input=2995, 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":"compute binary expreesion, left_input=-4862, right_input=0, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":2},{"info":"number node, value=1515","layer":4},{"info":"compute unary expreesion, input=1515, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=1515","layer":3},{"info":"number node, value=2578","layer":4},{"info":"number node, value=1092","layer":4},{"info":"compute binary expreesion, left_input=2578, right_input=1092, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=667229","layer":3},{"info":"compute binary expreesion, left_input=1515, right_input=667229, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=nan","layer":1},{"info":"number node, value=3376","layer":4},{"info":"compute unary expreesion, input=3376, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=1158","layer":4},{"info":"number node, value=2316","layer":4},{"info":"compute binary expreesion, left_input=1158, right_input=2316, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1158","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1158, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":2},{"info":"number node, value=3652","layer":4},{"info":"number node, value=8508","layer":4},{"info":"compute binary expreesion, left_input=3652, right_input=8508, op_id = T2fj7uvVaJ binary_op_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=2038","layer":4},{"info":"compute unary expreesion, input=2038, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=4076","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=4076, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=4076","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=4076, 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 = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍235C⨓⪎⋱⫍229A⨓(⪎⋱⫍1495⋓⪎⋱⫍183C)⫸⊐(⪎⋱⫍8C7⋫)≹⇙⪍(⪎⋱⫍1234≎⊠⪸⪎⋱⫍660))⨰((↣≠⋷⪎⋱⫍16C9)⋝⋈⪟⪎⋱⫍6B1⪛⪎⋱⫍1092⇼⇔∾(⪎⋱⫍187C⋓⪎⋱⫍3B46)↬(⪎⋱⫍C0A⊭∹↮))=NaN","reverse_text":"NaN=(⪎⋱⫍235C⨓⪎⋱⫍229A⨓(⪎⋱⫍1495⋓⪎⋱⫍183C)⫸⊐(⪎⋱⫍8C7⋫)≹⇙⪍(⪎⋱⫍1234≎⊠⪸⪎⋱⫍660))⨰((↣≠⋷⪎⋱⫍16C9)⋝⋈⪟⪎⋱⫍6B1⪛⪎⋱⫍1092⇼⇔∾(⪎⋱⫍187C⋓⪎⋱⫍3B46)↬(⪎⋱⫍C0A⊭∹↮))","cot":[{"info":"⪎⋱⫍235C⨓⪎⋱⫍229A=⪎⋱⫍-22A0","layer":3},{"info":"⪎⋱⫍1495⋓⪎⋱⫍183C=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍-22A0⨓⪎⋱⫍0=NaN","layer":2},{"info":"⪎⋱⫍8C7⋫=⪎⋱⫍8C7","layer":3},{"info":"⪎⋱⫍1234≎⊠⪸⪎⋱⫍660=⪎⋱⫍1A4914","layer":3},{"info":"⪎⋱⫍8C7≹⇙⪍⪎⋱⫍1A4914=NaN","layer":2},{"info":"NaN⫸⊐NaN=NaN","layer":1},{"info":"↣≠⋷⪎⋱⫍16C9=NaN","layer":3},{"info":"⪎⋱⫍6B1⪛⪎⋱⫍1092=⪎⋱⫍6B1","layer":3},{"info":"NaN⋝⋈⪟⪎⋱⫍6B1=NaN","layer":2},{"info":"⪎⋱⫍187C⋓⪎⋱⫍3B46=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍C0A⊭∹↮=⪎⋱⫍1B17","layer":3},{"info":"⪎⋱⫍0↬⪎⋱⫍1B17=⪎⋱⫍1B17","layer":2},{"info":"NaN⇼⇔∾⪎⋱⫍1B17=NaN","layer":1},{"info":"NaN⨰NaN=NaN","layer":0}]}
{"id":157,"expression_no_base_symbol":"($1029$⨰$4260$⩨(∥⊫$6516$))≹⇙⪍(($2456$≋⫹)+⇶⊼($4277$⊭↱$1006$))⪒(($4908$⊉≛↸$1851$)⨓($2006$⩨$4166$))⪛(⪝⪂⫅($2137$⨎$6579$))","expression":"(⪎⋱⫍612⨰⪎⋱⫍1C29⩨(∥⊫⪎⋱⫍2C73))≹⇙⪍((⪎⋱⫍116C≋⫹)+⇶⊼(⪎⋱⫍1C40⊭↱⪎⋱⫍5C5))⪒((⪎⋱⫍2307⊉≛↸⪎⋱⫍AC5)⨓(⪎⋱⫍BB4⩨⪎⋱⫍1B86))⪛(⪝⪂⫅(⪎⋱⫍C85⨎⪎⋱⫍2CC1))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":203,"operation_count":14,"complexity_ratio":14.5,"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":1029,"base":13},"right_expr":{"type":"numeric_atoms","value":4260,"base":13}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":6516,"base":13}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":2456,"base":13}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":4277,"base":13},"right_expr":{"type":"numeric_atoms","value":1006,"base":13}}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":4908,"base":13},"right_expr":{"type":"numeric_atoms","value":1851,"base":13}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2006,"base":13},"right_expr":{"type":"numeric_atoms","value":4166,"base":13}}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2137,"base":13},"right_expr":{"type":"numeric_atoms","value":6579,"base":13}}}}},"used_operators":["f6k1SAg4EE","AHs5Up7iyr","2DlMacCsIx","eewbuw0ToL","P8v4zCKN1o","TpPTUOHfaN","N41Kp7NANJ","COABgblf1C","uFcxV4UQCh","3ViojmjbAp","DZ8iAZOCBD","XTarYq4gQB","rJVOvQCfKK"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1029","layer":4},{"info":"number node, value=4260","layer":4},{"info":"compute binary expreesion, left_input=1029, right_input=4260, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-3221","layer":3},{"info":"number node, value=6516","layer":4},{"info":"compute unary expreesion, input=6516, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=7384","layer":3},{"info":"compute binary expreesion, left_input=-3221, right_input=7384, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=9","layer":2},{"info":"number node, value=2456","layer":4},{"info":"compute unary expreesion, input=2456, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-4912","layer":3},{"info":"number node, value=4277","layer":4},{"info":"number node, value=1006","layer":4},{"info":"compute binary expreesion, left_input=4277, right_input=1006, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-6537","layer":3},{"info":"compute binary expreesion, left_input=-4912, right_input=-6537, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=9, 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=4908","layer":4},{"info":"number node, value=1851","layer":4},{"info":"compute binary expreesion, left_input=4908, right_input=1851, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=9816","layer":3},{"info":"number node, value=2006","layer":4},{"info":"number node, value=4166","layer":4},{"info":"compute binary expreesion, left_input=2006, right_input=4166, 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=9816, right_input=-6, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=3","layer":2},{"info":"number node, value=2137","layer":4},{"info":"number node, value=6579","layer":4},{"info":"compute binary expreesion, left_input=2137, right_input=6579, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=6579","layer":3},{"info":"compute unary expreesion, input=6579, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-967113","layer":2},{"info":"compute binary expreesion, left_input=3, right_input=-967113, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=-967110","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-967110, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍612⨰⪎⋱⫍1C29⩨(∥⊫⪎⋱⫍2C73))≹⇙⪍((⪎⋱⫍116C≋⫹)+⇶⊼(⪎⋱⫍1C40⊭↱⪎⋱⫍5C5))⪒((⪎⋱⫍2307⊉≛↸⪎⋱⫍AC5)⨓(⪎⋱⫍BB4⩨⪎⋱⫍1B86))⪛(⪝⪂⫅(⪎⋱⫍C85⨎⪎⋱⫍2CC1))=NaN","reverse_text":"NaN=(⪎⋱⫍612⨰⪎⋱⫍1C29⩨(∥⊫⪎⋱⫍2C73))≹⇙⪍((⪎⋱⫍116C≋⫹)+⇶⊼(⪎⋱⫍1C40⊭↱⪎⋱⫍5C5))⪒((⪎⋱⫍2307⊉≛↸⪎⋱⫍AC5)⨓(⪎⋱⫍BB4⩨⪎⋱⫍1B86))⪛(⪝⪂⫅(⪎⋱⫍C85⨎⪎⋱⫍2CC1))","cot":[{"info":"⪎⋱⫍612⨰⪎⋱⫍1C29=⪎⋱⫍-160A","layer":3},{"info":"∥⊫⪎⋱⫍2C73=⪎⋱⫍3490","layer":3},{"info":"⪎⋱⫍-160A⩨⪎⋱⫍3490=⪎⋱⫍9","layer":2},{"info":"⪎⋱⫍116C≋⫹=⪎⋱⫍-230B","layer":3},{"info":"⪎⋱⫍1C40⊭↱⪎⋱⫍5C5=⪎⋱⫍-2C8B","layer":3},{"info":"⪎⋱⫍-230B+⇶⊼⪎⋱⫍-2C8B=NaN","layer":2},{"info":"⪎⋱⫍9≹⇙⪍NaN=NaN","layer":1},{"info":"⪎⋱⫍2307⊉≛↸⪎⋱⫍AC5=⪎⋱⫍4611","layer":3},{"info":"⪎⋱⫍BB4⩨⪎⋱⫍1B86=⪎⋱⫍-6","layer":3},{"info":"⪎⋱⫍4611⨓⪎⋱⫍-6=⪎⋱⫍3","layer":2},{"info":"⪎⋱⫍C85⨎⪎⋱⫍2CC1=⪎⋱⫍2CC1","layer":3},{"info":"⪝⪂⫅⪎⋱⫍2CC1=⪎⋱⫍-27B274","layer":2},{"info":"⪎⋱⫍3⪛⪎⋱⫍-27B274=⪎⋱⫍-27B271","layer":1},{"info":"NaN⪒⪎⋱⫍-27B271=NaN","layer":0}]}
{"id":158,"expression_no_base_symbol":"⫓⪴((($6272$⪨≂$1026$)⨳⩥⨓$4961$⩚⊴⇥$4007$)⩚⊴⇥($6104$⊉≛↸$4223$)⪢($2015$⋥≓≎$1420$))","expression":"⫓⪴(((⪎⋱⫍2B16⪨≂⪎⋱⫍60C)⨳⩥⨓⪎⋱⫍2348⩚⊴⇥⪎⋱⫍1A93)⩚⊴⇥(⪎⋱⫍2A17⊉≛↸⪎⋱⫍1BCB)⪢(⪎⋱⫍BC0⋥≓≎⪎⋱⫍853))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1170,"operation_count":8,"complexity_ratio":146.25,"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":6272,"base":13},"right_expr":{"type":"numeric_atoms","value":1026,"base":13}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":4961,"base":13},"right_expr":{"type":"numeric_atoms","value":4007,"base":13}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":6104,"base":13},"right_expr":{"type":"numeric_atoms","value":4223,"base":13}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2015,"base":13},"right_expr":{"type":"numeric_atoms","value":1420,"base":13}}}}},"used_operators":["eLxqMNBOBk","NTOWxs364D","nCS4ZIUYfx","sdazOOVcIp","dWAJyo7jo9","DZ8iAZOCBD","Qy55tPpLXF"],"dependent_operators":["9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=6272","layer":4},{"info":"number node, value=1026","layer":4},{"info":"compute binary expreesion, left_input=6272, right_input=1026, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=10594","layer":3},{"info":"number node, value=4961","layer":4},{"info":"number node, value=4007","layer":4},{"info":"compute binary expreesion, left_input=4961, right_input=4007, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-9089","layer":3},{"info":"compute binary expreesion, left_input=10594, right_input=-9089, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-19683","layer":2},{"info":"number node, value=6104","layer":4},{"info":"number node, value=4223","layer":4},{"info":"compute binary expreesion, left_input=6104, right_input=4223, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=12208","layer":3},{"info":"number node, value=2015","layer":4},{"info":"number node, value=1420","layer":4},{"info":"compute binary expreesion, left_input=2015, right_input=1420, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=858","layer":3},{"info":"compute binary expreesion, left_input=12208, right_input=858, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=-19683, 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 = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⫓⪴(((⪎⋱⫍2B16⪨≂⪎⋱⫍60C)⨳⩥⨓⪎⋱⫍2348⩚⊴⇥⪎⋱⫍1A93)⩚⊴⇥(⪎⋱⫍2A17⊉≛↸⪎⋱⫍1BCB)⪢(⪎⋱⫍BC0⋥≓≎⪎⋱⫍853))=NaN","reverse_text":"NaN=⫓⪴(((⪎⋱⫍2B16⪨≂⪎⋱⫍60C)⨳⩥⨓⪎⋱⫍2348⩚⊴⇥⪎⋱⫍1A93)⩚⊴⇥(⪎⋱⫍2A17⊉≛↸⪎⋱⫍1BCB)⪢(⪎⋱⫍BC0⋥≓≎⪎⋱⫍853))","cot":[{"info":"⪎⋱⫍2B16⪨≂⪎⋱⫍60C=⪎⋱⫍4A8C","layer":3},{"info":"⪎⋱⫍2348⩚⊴⇥⪎⋱⫍1A93=⪎⋱⫍-41A2","layer":3},{"info":"⪎⋱⫍4A8C⨳⩥⨓⪎⋱⫍-41A2=⪎⋱⫍-8C61","layer":2},{"info":"⪎⋱⫍2A17⊉≛↸⪎⋱⫍1BCB=⪎⋱⫍5731","layer":3},{"info":"⪎⋱⫍BC0⋥≓≎⪎⋱⫍853=⪎⋱⫍510","layer":3},{"info":"⪎⋱⫍5731⪢⪎⋱⫍510=NaN","layer":2},{"info":"⪎⋱⫍-8C61⩚⊴⇥NaN=NaN","layer":1},{"info":"⫓⪴NaN=NaN","layer":0}]}
{"id":159,"expression_no_base_symbol":"-$2427$≭$5380$⫥∨⫟($1145$⨳⩥⨓$1138$)↺($6884$↙$1245$)⪛($3494$%$1015$)","expression":"-⪎⋱⫍1149≭⪎⋱⫍25AB⫥∨⫟(⪎⋱⫍6A1⨳⩥⨓⪎⋱⫍697)↺(⪎⋱⫍3197↙⪎⋱⫍74A)⪛(⪎⋱⫍178A%⪎⋱⫍601)","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1423,"operation_count":8,"complexity_ratio":177.875,"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":2427,"base":13},"right_expr":{"type":"numeric_atoms","value":5380,"base":13}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1145,"base":13},"right_expr":{"type":"numeric_atoms","value":1138,"base":13}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":6884,"base":13},"right_expr":{"type":"numeric_atoms","value":1245,"base":13}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":3494,"base":13},"right_expr":{"type":"numeric_atoms","value":1015,"base":13}}}}},"used_operators":["t8gj7n24qd","7j4O788W3g","KYD54nUTWz","rxpJgHHUmx","nCS4ZIUYfx","uFcxV4UQCh","yyfyN0ffXY","k8jYdgA6NY"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z"],"result":"⪎⋱⫍-1A7","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2427","layer":4},{"info":"number node, value=5380","layer":4},{"info":"compute binary expreesion, left_input=2427, right_input=5380, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=1145","layer":4},{"info":"number node, value=1138","layer":4},{"info":"compute binary expreesion, left_input=1145, right_input=1138, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-7","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-7, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=6884","layer":4},{"info":"number node, value=1245","layer":4},{"info":"compute binary expreesion, left_input=6884, right_input=1245, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3735","layer":3},{"info":"number node, value=3494","layer":4},{"info":"number node, value=1015","layer":4},{"info":"compute binary expreesion, left_input=3494, right_input=1015, op_id = k8jYdgA6NY binary_op_definition= 'None', output=449","layer":3},{"info":"compute binary expreesion, left_input=-3735, right_input=449, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=306","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=306, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=306","layer":1},{"info":"compute unary expreesion, input=306, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-306","layer":0}],"base":13,"result_base":13,"text":"-⪎⋱⫍1149≭⪎⋱⫍25AB⫥∨⫟(⪎⋱⫍6A1⨳⩥⨓⪎⋱⫍697)↺(⪎⋱⫍3197↙⪎⋱⫍74A)⪛(⪎⋱⫍178A%⪎⋱⫍601)=⪎⋱⫍-1A7","reverse_text":"⪎⋱⫍-1A7=-⪎⋱⫍1149≭⪎⋱⫍25AB⫥∨⫟(⪎⋱⫍6A1⨳⩥⨓⪎⋱⫍697)↺(⪎⋱⫍3197↙⪎⋱⫍74A)⪛(⪎⋱⫍178A%⪎⋱⫍601)","cot":[{"info":"⪎⋱⫍1149≭⪎⋱⫍25AB=NaN","layer":3},{"info":"⪎⋱⫍6A1⨳⩥⨓⪎⋱⫍697=⪎⋱⫍-7","layer":3},{"info":"NaN⫥∨⫟⪎⋱⫍-7=NaN","layer":2},{"info":"⪎⋱⫍3197↙⪎⋱⫍74A=⪎⋱⫍-1914","layer":3},{"info":"⪎⋱⫍178A%⪎⋱⫍601=⪎⋱⫍287","layer":3},{"info":"⪎⋱⫍-1914⪛⪎⋱⫍287=⪎⋱⫍1A7","layer":2},{"info":"NaN↺⪎⋱⫍1A7=⪎⋱⫍1A7","layer":1},{"info":"-⪎⋱⫍1A7=⪎⋱⫍-1A7","layer":0}]}
{"id":160,"expression_no_base_symbol":"↯⪼(($2867$⋓$6401$≎⊠⪸($6109$∲⫓$4216$))⋝⋈⪟(⪝⪂⫅$1386$)⪘⫢$4481$∼$3342$)","expression":"↯⪼((⪎⋱⫍13C7⋓⪎⋱⫍2BB5≎⊠⪸(⪎⋱⫍2A1C∲⫓⪎⋱⫍1BC4))⋝⋈⪟(⪝⪂⫅⪎⋱⫍828)⪘⫢⪎⋱⫍2069∼⪎⋱⫍16A1)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":309,"operation_count":8,"complexity_ratio":38.625,"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":2867,"base":13},"right_expr":{"type":"numeric_atoms","value":6401,"base":13}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":6109,"base":13},"right_expr":{"type":"numeric_atoms","value":4216,"base":13}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":1386,"base":13}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":4481,"base":13},"right_expr":{"type":"numeric_atoms","value":3342,"base":13}}}}},"used_operators":["8jW3W4yZS5","2DDjHMKMc0","bJkvcejdHO","T2fj7uvVaJ","i8ToyICDmI","oacrs7FA3X","XTarYq4gQB","DyGG3AbaNP"],"dependent_operators":["eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","9HNa5Wba9A","8w2t5hMYqp","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"⪎⋱⫍-18","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2867","layer":4},{"info":"number node, value=6401","layer":4},{"info":"compute binary expreesion, left_input=2867, right_input=6401, op_id = T2fj7uvVaJ binary_op_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=6109","layer":4},{"info":"number node, value=4216","layer":4},{"info":"compute binary expreesion, left_input=6109, right_input=4216, 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 = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=-473","layer":2},{"info":"number node, value=1386","layer":4},{"info":"compute unary expreesion, input=1386, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-203742","layer":3},{"info":"number node, value=4481","layer":4},{"info":"number node, value=3342","layer":4},{"info":"compute binary expreesion, left_input=4481, right_input=3342, 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=-203742, 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=-473, 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 = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":0}],"base":13,"result_base":13,"text":"↯⪼((⪎⋱⫍13C7⋓⪎⋱⫍2BB5≎⊠⪸(⪎⋱⫍2A1C∲⫓⪎⋱⫍1BC4))⋝⋈⪟(⪝⪂⫅⪎⋱⫍828)⪘⫢⪎⋱⫍2069∼⪎⋱⫍16A1)=⪎⋱⫍-18","reverse_text":"⪎⋱⫍-18=↯⪼((⪎⋱⫍13C7⋓⪎⋱⫍2BB5≎⊠⪸(⪎⋱⫍2A1C∲⫓⪎⋱⫍1BC4))⋝⋈⪟(⪝⪂⫅⪎⋱⫍828)⪘⫢⪎⋱⫍2069∼⪎⋱⫍16A1)","cot":[{"info":"⪎⋱⫍13C7⋓⪎⋱⫍2BB5=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍2A1C∲⫓⪎⋱⫍1BC4=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍0≎⊠⪸⪎⋱⫍0=⪎⋱⫍-2A5","layer":2},{"info":"⪝⪂⫅⪎⋱⫍828=⪎⋱⫍-71976","layer":3},{"info":"⪎⋱⫍2069∼⪎⋱⫍16A1=NaN","layer":3},{"info":"⪎⋱⫍-71976⪘⫢NaN=NaN","layer":2},{"info":"⪎⋱⫍-2A5⋝⋈⪟NaN=NaN","layer":1},{"info":"↯⪼NaN=⪎⋱⫍-18","layer":0}]}
{"id":161,"expression_no_base_symbol":"((⨰⫟⨤(⫛⫱⨽$2733$))⨽(($5289$⪠⩆⊳)⫡⨏$6193$⫸⊐$3453$))⫥∨⫟(⨰⫟⨤$1703$↬$2209$)≹⇙⪍(⊄⩳↩($5924$⫡⨏$1147$))","expression":"((⨰⫟⨤(⫛⫱⨽⪎⋱⫍1323))⨽((⪎⋱⫍253B⪠⩆⊳)⫡⨏⪎⋱⫍2A85⫸⊐⪎⋱⫍1758))⫥∨⫟(⨰⫟⨤⪎⋱⫍A10↬⪎⋱⫍100C)≹⇙⪍(⊄⩳↩(⪎⋱⫍2909⫡⨏⪎⋱⫍6A3))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":4495219,"operation_count":12,"complexity_ratio":374601.5833333333,"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":2733,"base":13}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":5289,"base":13}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":6193,"base":13},"right_expr":{"type":"numeric_atoms","value":3453,"base":13}}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1703,"base":13},"right_expr":{"type":"numeric_atoms","value":2209,"base":13}}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":5924,"base":13},"right_expr":{"type":"numeric_atoms","value":1147,"base":13}}}}},"used_operators":["KYD54nUTWz","8HhzD0ZcuI","Tw270M8GLb","DlLNRPXxWL","QMFrweE19q","JLbD19bQDL","mqXw5SEYmG","AHs5Up7iyr","B5M0gjZbta","8w2t5hMYqp"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","dWAJyo7jo9","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"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 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=5289","layer":4},{"info":"compute unary expreesion, input=5289, 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=6193","layer":4},{"info":"number node, value=3453","layer":4},{"info":"compute binary expreesion, left_input=6193, right_input=3453, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=13687","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=13687, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=28157","layer":2},{"info":"compute binary expreesion, left_input=4492662, right_input=28157, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-inf","layer":1},{"info":"number node, value=1703","layer":4},{"info":"number node, value=2209","layer":4},{"info":"compute binary expreesion, left_input=1703, right_input=2209, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=5924","layer":4},{"info":"number node, value=1147","layer":4},{"info":"compute binary expreesion, left_input=5924, right_input=1147, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=32697","layer":3},{"info":"compute unary expreesion, input=32697, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-98091","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-98091, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=-inf, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⨰⫟⨤(⫛⫱⨽⪎⋱⫍1323))⨽((⪎⋱⫍253B⪠⩆⊳)⫡⨏⪎⋱⫍2A85⫸⊐⪎⋱⫍1758))⫥∨⫟(⨰⫟⨤⪎⋱⫍A10↬⪎⋱⫍100C)≹⇙⪍(⊄⩳↩(⪎⋱⫍2909⫡⨏⪎⋱⫍6A3))=NaN","reverse_text":"NaN=((⨰⫟⨤(⫛⫱⨽⪎⋱⫍1323))⨽((⪎⋱⫍253B⪠⩆⊳)⫡⨏⪎⋱⫍2A85⫸⊐⪎⋱⫍1758))⫥∨⫟(⨰⫟⨤⪎⋱⫍A10↬⪎⋱⫍100C)≹⇙⪍(⊄⩳↩(⪎⋱⫍2909⫡⨏⪎⋱⫍6A3))","cot":[{"info":"⫛⫱⨽⪎⋱⫍1323=⪎⋱⫍0","layer":3},{"info":"⨰⫟⨤⪎⋱⫍0=⪎⋱⫍C13BA5","layer":2},{"info":"⪎⋱⫍253B⪠⩆⊳=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍2A85⫸⊐⪎⋱⫍1758=⪎⋱⫍62CB","layer":3},{"info":"⪎⋱⫍0⫡⨏⪎⋱⫍62CB=⪎⋱⫍CA7C","layer":2},{"info":"⪎⋱⫍C13BA5⨽⪎⋱⫍CA7C=-Inf","layer":1},{"info":"⪎⋱⫍A10↬⪎⋱⫍100C=NaN","layer":3},{"info":"⨰⫟⨤NaN=NaN","layer":2},{"info":"⪎⋱⫍2909⫡⨏⪎⋱⫍6A3=⪎⋱⫍11B62","layer":3},{"info":"⊄⩳↩⪎⋱⫍11B62=⪎⋱⫍-35856","layer":2},{"info":"NaN≹⇙⪍⪎⋱⫍-35856=NaN","layer":1},{"info":"-Inf⫥∨⫟NaN=NaN","layer":0}]}
{"id":162,"expression_no_base_symbol":"(≉((⫛⫱⨽$4848$)/(⨈⫕$1072$)))≎⊠⪸(($5850$≭$3885$↺(⊥$1083$))+⇶⊼(($1322$⫌⩹⨱)≎⊠⪸$2203$⩷∴$2009$))","expression":"(≉((⫛⫱⨽⪎⋱⫍228C)/(⨈⫕⪎⋱⫍646)))≎⊠⪸((⪎⋱⫍2880≭⪎⋱⫍19CB↺(⊥⪎⋱⫍654))+⇶⊼((⪎⋱⫍7A9⫌⩹⨱)≎⊠⪸⪎⋱⫍1006⩷∴⪎⋱⫍BB7))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2110,"operation_count":12,"complexity_ratio":175.83333333333334,"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":4848,"base":13}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":1072,"base":13}}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":5850,"base":13},"right_expr":{"type":"numeric_atoms","value":3885,"base":13}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":1083,"base":13}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":1322,"base":13}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2203,"base":13},"right_expr":{"type":"numeric_atoms","value":2009,"base":13}}}}},"used_operators":["bJkvcejdHO","e1ybzncUwg","XhwjNDsVaA","DlLNRPXxWL","megm06wKyl","TpPTUOHfaN","7j4O788W3g","rxpJgHHUmx","Q3PJZHRvZv","EBcxylXtPf","9FxExcQeMw"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rGHVDoGpnC","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","fu6greOZ01","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z"],"result":"⪎⋱⫍52","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4848","layer":4},{"info":"compute unary expreesion, input=4848, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=1072","layer":4},{"info":"compute unary expreesion, input=1072, 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 = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=531","layer":1},{"info":"number node, value=5850","layer":4},{"info":"number node, value=3885","layer":4},{"info":"compute binary expreesion, left_input=5850, right_input=3885, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=1083","layer":4},{"info":"compute unary expreesion, input=1083, 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 = 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=1322","layer":4},{"info":"compute unary expreesion, input=1322, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=4045","layer":3},{"info":"number node, value=2203","layer":4},{"info":"number node, value=2009","layer":4},{"info":"compute binary expreesion, left_input=2203, right_input=2009, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=356","layer":3},{"info":"compute binary expreesion, left_input=4045, right_input=356, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1047182","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1047182, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=531, 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":13,"result_base":13,"text":"(≉((⫛⫱⨽⪎⋱⫍228C)/(⨈⫕⪎⋱⫍646)))≎⊠⪸((⪎⋱⫍2880≭⪎⋱⫍19CB↺(⊥⪎⋱⫍654))+⇶⊼((⪎⋱⫍7A9⫌⩹⨱)≎⊠⪸⪎⋱⫍1006⩷∴⪎⋱⫍BB7))=⪎⋱⫍52","reverse_text":"⪎⋱⫍52=(≉((⫛⫱⨽⪎⋱⫍228C)/(⨈⫕⪎⋱⫍646)))≎⊠⪸((⪎⋱⫍2880≭⪎⋱⫍19CB↺(⊥⪎⋱⫍654))+⇶⊼((⪎⋱⫍7A9⫌⩹⨱)≎⊠⪸⪎⋱⫍1006⩷∴⪎⋱⫍BB7))","cot":[{"info":"⫛⫱⨽⪎⋱⫍228C=⪎⋱⫍0","layer":3},{"info":"⨈⫕⪎⋱⫍646=⪎⋱⫍-18","layer":3},{"info":"⪎⋱⫍0/⪎⋱⫍-18=⪎⋱⫍0","layer":2},{"info":"≉⪎⋱⫍0=⪎⋱⫍31B","layer":1},{"info":"⪎⋱⫍2880≭⪎⋱⫍19CB=NaN","layer":3},{"info":"⊥⪎⋱⫍654=NaN","layer":3},{"info":"NaN↺NaN=NaN","layer":2},{"info":"⪎⋱⫍7A9⫌⩹⨱=⪎⋱⫍1AC2","layer":3},{"info":"⪎⋱⫍1006⩷∴⪎⋱⫍BB7=⪎⋱⫍215","layer":3},{"info":"⪎⋱⫍1AC2≎⊠⪸⪎⋱⫍215=⪎⋱⫍2A8846","layer":2},{"info":"NaN+⇶⊼⪎⋱⫍2A8846=NaN","layer":1},{"info":"⪎⋱⫍31B≎⊠⪸NaN=⪎⋱⫍52","layer":0}]}
{"id":163,"expression_no_base_symbol":"⊥((↩$2705$≹⇙⪍$2357$)↙(⊄⩳↩$1516$⊴$1927$))","expression":"⊥((↩⪎⋱⫍1301≹⇙⪍⪎⋱⫍10C4)↙(⊄⩳↩⪎⋱⫍8C8⊴⪎⋱⫍B53))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1958,"operation_count":6,"complexity_ratio":326.3333333333333,"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":2705,"base":13},"right_expr":{"type":"numeric_atoms","value":2357,"base":13}}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1516,"base":13},"right_expr":{"type":"numeric_atoms","value":1927,"base":13}}}}},"used_operators":["Q3PJZHRvZv","yyfyN0ffXY","jLgFTUHLKL","AHs5Up7iyr","8w2t5hMYqp","Nsiff2A1zJ"],"dependent_operators":["fu6greOZ01","tmPS8pqC7x","DpFCA1CohY","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","dWAJyo7jo9","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2705","layer":4},{"info":"number node, value=2357","layer":4},{"info":"compute binary expreesion, left_input=2705, right_input=2357, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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":"number node, value=1516","layer":4},{"info":"number node, value=1927","layer":4},{"info":"compute binary expreesion, left_input=1516, right_input=1927, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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 = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⊥((↩⪎⋱⫍1301≹⇙⪍⪎⋱⫍10C4)↙(⊄⩳↩⪎⋱⫍8C8⊴⪎⋱⫍B53))=NaN","reverse_text":"NaN=⊥((↩⪎⋱⫍1301≹⇙⪍⪎⋱⫍10C4)↙(⊄⩳↩⪎⋱⫍8C8⊴⪎⋱⫍B53))","cot":[{"info":"⪎⋱⫍1301≹⇙⪍⪎⋱⫍10C4=NaN","layer":3},{"info":"↩NaN=NaN","layer":2},{"info":"⪎⋱⫍8C8⊴⪎⋱⫍B53=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":"⋗⩬⋾(($3565$⩚⊴⇥$1245$)∧)≹⇙⪍(($3745$⩤)⩚⊴⇥($1078$⊉≛↸$6993$))","expression":"⋗⩬⋾((⪎⋱⫍1813⩚⊴⇥⪎⋱⫍74A)∧)≹⇙⪍((⪎⋱⫍1921⩤)⩚⊴⇥(⪎⋱⫍64C⊉≛↸⪎⋱⫍324C))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":21,"operation_count":7,"complexity_ratio":3.0,"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":3565,"base":13},"right_expr":{"type":"numeric_atoms","value":1245,"base":13}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":3745,"base":13}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1078,"base":13},"right_expr":{"type":"numeric_atoms","value":6993,"base":13}}}}},"used_operators":["DpFCA1CohY","AHs5Up7iyr","z63VuFQld9","NTOWxs364D","Z2TMIBDE3Q","DZ8iAZOCBD"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3565","layer":4},{"info":"number node, value=1245","layer":4},{"info":"compute binary expreesion, left_input=3565, right_input=1245, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4931","layer":3},{"info":"compute unary expreesion, input=-4931, 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=3745","layer":4},{"info":"compute unary expreesion, input=3745, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-3745","layer":3},{"info":"number node, value=1078","layer":4},{"info":"number node, value=6993","layer":4},{"info":"compute binary expreesion, left_input=1078, right_input=6993, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2156","layer":3},{"info":"compute binary expreesion, left_input=-3745, right_input=2156, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=1468","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=1468, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⋗⩬⋾((⪎⋱⫍1813⩚⊴⇥⪎⋱⫍74A)∧)≹⇙⪍((⪎⋱⫍1921⩤)⩚⊴⇥(⪎⋱⫍64C⊉≛↸⪎⋱⫍324C))=NaN","reverse_text":"NaN=⋗⩬⋾((⪎⋱⫍1813⩚⊴⇥⪎⋱⫍74A)∧)≹⇙⪍((⪎⋱⫍1921⩤)⩚⊴⇥(⪎⋱⫍64C⊉≛↸⪎⋱⫍324C))","cot":[{"info":"⪎⋱⫍1813⩚⊴⇥⪎⋱⫍74A=⪎⋱⫍-2324","layer":3},{"info":"⪎⋱⫍-2324∧=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍1921⩤=⪎⋱⫍-1921","layer":3},{"info":"⪎⋱⫍64C⊉≛↸⪎⋱⫍324C=⪎⋱⫍C9B","layer":3},{"info":"⪎⋱⫍-1921⩚⊴⇥⪎⋱⫍C9B=⪎⋱⫍88C","layer":2},{"info":"⪎⋱⫍0≹⇙⪍⪎⋱⫍88C=NaN","layer":1},{"info":"⋗⩬⋾NaN=NaN","layer":0}]}
{"id":165,"expression_no_base_symbol":"((+⊝⨔$1055$)⪒(≤/$5477$))+⇶⊼$7161$⨪↰⇹$2164$≧⫂∧(↯⪼$1091$)⫩⊇","expression":"((+⊝⨔⪎⋱⫍632)⪒(≤/⪎⋱⫍2654))+⇶⊼⪎⋱⫍334B⨪↰⇹⪎⋱⫍CA6≧⫂∧(↯⪼⪎⋱⫍65C)⫩⊇","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":7240,"operation_count":8,"complexity_ratio":905.0,"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":1055,"base":13}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":5477,"base":13}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":7161,"base":13},"right_expr":{"type":"numeric_atoms","value":2164,"base":13}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1091,"base":13}}}}},"used_operators":["BjRHVeLaeN","TpPTUOHfaN","f6k1SAg4EE","DhbWaqg5eL","eLAdDNolq6","Ph9nP6C5qx","tmPS8pqC7x","8jW3W4yZS5"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1055","layer":4},{"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":3},{"info":"number node, value=5477","layer":4},{"info":"compute unary expreesion, input=5477, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-4993","layer":3},{"info":"compute binary expreesion, left_input=1522, right_input=-4993, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=3471","layer":2},{"info":"number node, value=7161","layer":4},{"info":"number node, value=2164","layer":4},{"info":"compute binary expreesion, left_input=7161, right_input=2164, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=7161","layer":3},{"info":"number node, value=1091","layer":4},{"info":"compute unary expreesion, input=1091, 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=7161, right_input=-21, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-494","layer":2},{"info":"compute binary expreesion, left_input=3471, right_input=-494, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((+⊝⨔⪎⋱⫍632)⪒(≤/⪎⋱⫍2654))+⇶⊼⪎⋱⫍334B⨪↰⇹⪎⋱⫍CA6≧⫂∧(↯⪼⪎⋱⫍65C)⫩⊇=NaN","reverse_text":"NaN=((+⊝⨔⪎⋱⫍632)⪒(≤/⪎⋱⫍2654))+⇶⊼⪎⋱⫍334B⨪↰⇹⪎⋱⫍CA6≧⫂∧(↯⪼⪎⋱⫍65C)⫩⊇","cot":[{"info":"+⊝⨔⪎⋱⫍632=⪎⋱⫍901","layer":3},{"info":"≤/⪎⋱⫍2654=⪎⋱⫍-2371","layer":3},{"info":"⪎⋱⫍901⪒⪎⋱⫍-2371=⪎⋱⫍1770","layer":2},{"info":"⪎⋱⫍334B⨪↰⇹⪎⋱⫍CA6=⪎⋱⫍334B","layer":3},{"info":"↯⪼⪎⋱⫍65C=⪎⋱⫍-18","layer":3},{"info":"⪎⋱⫍334B≧⫂∧⪎⋱⫍-18=⪎⋱⫍-2C0","layer":2},{"info":"⪎⋱⫍1770+⇶⊼⪎⋱⫍-2C0=NaN","layer":1},{"info":"NaN⫩⊇=NaN","layer":0}]}
{"id":166,"expression_no_base_symbol":"(⨰⫟⨤(($3876$⋥≓≎$1529$)⨽($1100$⊉≛↸$2663$)))↺((↔($1137$⩚⊴⇥$1927$))⫌⩹⨱)","expression":"(⨰⫟⨤((⪎⋱⫍19C2⋥≓≎⪎⋱⫍908)⨽(⪎⋱⫍668⊉≛↸⪎⋱⫍129B)))↺((↔(⪎⋱⫍696⩚⊴⇥⪎⋱⫍B53))⫌⩹⨱)","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3709650,"operation_count":8,"complexity_ratio":463706.25,"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":3876,"base":13},"right_expr":{"type":"numeric_atoms","value":1529,"base":13}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1100,"base":13},"right_expr":{"type":"numeric_atoms","value":2663,"base":13}}}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1137,"base":13},"right_expr":{"type":"numeric_atoms","value":1927,"base":13}}}}},"used_operators":["7j4O788W3g","Tw270M8GLb","8HhzD0ZcuI","Qy55tPpLXF","DZ8iAZOCBD","EBcxylXtPf","ruOEQAzv1W","NTOWxs364D"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"⪎⋱⫍692","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3876","layer":4},{"info":"number node, value=1529","layer":4},{"info":"compute binary expreesion, left_input=3876, right_input=1529, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-785","layer":3},{"info":"number node, value=1100","layer":4},{"info":"number node, value=2663","layer":4},{"info":"compute binary expreesion, left_input=1100, right_input=2663, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2200","layer":3},{"info":"compute binary expreesion, left_input=-785, right_input=2200, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-1853961","layer":2},{"info":"compute unary expreesion, input=-1853961, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":1},{"info":"number node, value=1137","layer":4},{"info":"number node, value=1927","layer":4},{"info":"compute binary expreesion, left_input=1137, right_input=1927, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3185","layer":3},{"info":"compute unary expreesion, input=-3185, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":2},{"info":"compute unary expreesion, input=-134, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=1133","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1133, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1133","layer":0}],"base":13,"result_base":13,"text":"(⨰⫟⨤((⪎⋱⫍19C2⋥≓≎⪎⋱⫍908)⨽(⪎⋱⫍668⊉≛↸⪎⋱⫍129B)))↺((↔(⪎⋱⫍696⩚⊴⇥⪎⋱⫍B53))⫌⩹⨱)=⪎⋱⫍692","reverse_text":"⪎⋱⫍692=(⨰⫟⨤((⪎⋱⫍19C2⋥≓≎⪎⋱⫍908)⨽(⪎⋱⫍668⊉≛↸⪎⋱⫍129B)))↺((↔(⪎⋱⫍696⩚⊴⇥⪎⋱⫍B53))⫌⩹⨱)","cot":[{"info":"⪎⋱⫍19C2⋥≓≎⪎⋱⫍908=⪎⋱⫍-485","layer":3},{"info":"⪎⋱⫍668⊉≛↸⪎⋱⫍129B=⪎⋱⫍1003","layer":3},{"info":"⪎⋱⫍-485⨽⪎⋱⫍1003=⪎⋱⫍-4CBB25","layer":2},{"info":"⨰⫟⨤⪎⋱⫍-4CBB25=NaN","layer":1},{"info":"⪎⋱⫍696⩚⊴⇥⪎⋱⫍B53=⪎⋱⫍-15B0","layer":3},{"info":"↔⪎⋱⫍-15B0=⪎⋱⫍-A4","layer":2},{"info":"⪎⋱⫍-A4⫌⩹⨱=⪎⋱⫍692","layer":1},{"info":"NaN↺⪎⋱⫍692=⪎⋱⫍692","layer":0}]}
{"id":167,"expression_no_base_symbol":"($4317$⪢$1084$⩷∴($3553$↙$1713$))⨪↰⇹($2018$≧⫂∧$2134$↪⪝)⨽($1631$⨽$3516$⊉≛↸(⋗⩬⋾$1582$)⩨(↩$1031$+⇶⊼$8630$))","expression":"(⪎⋱⫍1C71⪢⪎⋱⫍655⩷∴(⪎⋱⫍1804↙⪎⋱⫍A1A))⨪↰⇹(⪎⋱⫍BC3≧⫂∧⪎⋱⫍C82↪⪝)⨽(⪎⋱⫍986⨽⪎⋱⫍17A6⊉≛↸(⋗⩬⋾⪎⋱⫍949)⩨(↩⪎⋱⫍614+⇶⊼⪎⋱⫍3C0B))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":9030,"operation_count":13,"complexity_ratio":694.6153846153846,"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":4317,"base":13},"right_expr":{"type":"numeric_atoms","value":1084,"base":13}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":3553,"base":13},"right_expr":{"type":"numeric_atoms","value":1713,"base":13}}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2018,"base":13},"right_expr":{"type":"numeric_atoms","value":2134,"base":13}}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1631,"base":13},"right_expr":{"type":"numeric_atoms","value":3516,"base":13}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1582,"base":13}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1031,"base":13},"right_expr":{"type":"numeric_atoms","value":8630,"base":13}}}}},"used_operators":["8HhzD0ZcuI","tmPS8pqC7x","9FxExcQeMw","dWAJyo7jo9","yyfyN0ffXY","l07mrZUIn9","Ph9nP6C5qx","2DlMacCsIx","DZ8iAZOCBD","DpFCA1CohY","jLgFTUHLKL","TpPTUOHfaN"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rJVOvQCfKK","rysDP5nf3Z","k8jYdgA6NY","tmPS8pqC7x","DpFCA1CohY","9HNa5Wba9A","2DDjHMKMc0","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4317","layer":4},{"info":"number node, value=1084","layer":4},{"info":"compute binary expreesion, left_input=4317, right_input=1084, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=3553","layer":4},{"info":"number node, value=1713","layer":4},{"info":"compute binary expreesion, left_input=3553, right_input=1713, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-5139","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-5139, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":2},{"info":"number node, value=2018","layer":4},{"info":"number node, value=2134","layer":4},{"info":"compute binary expreesion, left_input=2018, right_input=2134, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1661","layer":3},{"info":"compute unary expreesion, input=1661, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=101623302","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=101623302, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((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=1631","layer":4},{"info":"number node, value=3516","layer":4},{"info":"compute binary expreesion, left_input=1631, right_input=3516, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-7989717","layer":3},{"info":"number node, value=1582","layer":4},{"info":"compute unary expreesion, input=1582, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-4746","layer":3},{"info":"compute binary expreesion, left_input=-7989717, right_input=-4746, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=4746","layer":2},{"info":"number node, value=1031","layer":4},{"info":"number node, value=8630","layer":4},{"info":"compute binary expreesion, left_input=1031, right_input=8630, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=4746, 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 = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍1C71⪢⪎⋱⫍655⩷∴(⪎⋱⫍1804↙⪎⋱⫍A1A))⨪↰⇹(⪎⋱⫍BC3≧⫂∧⪎⋱⫍C82↪⪝)⨽(⪎⋱⫍986⨽⪎⋱⫍17A6⊉≛↸(⋗⩬⋾⪎⋱⫍949)⩨(↩⪎⋱⫍614+⇶⊼⪎⋱⫍3C0B))=NaN","reverse_text":"NaN=(⪎⋱⫍1C71⪢⪎⋱⫍655⩷∴(⪎⋱⫍1804↙⪎⋱⫍A1A))⨪↰⇹(⪎⋱⫍BC3≧⫂∧⪎⋱⫍C82↪⪝)⨽(⪎⋱⫍986⨽⪎⋱⫍17A6⊉≛↸(⋗⩬⋾⪎⋱⫍949)⩨(↩⪎⋱⫍614+⇶⊼⪎⋱⫍3C0B))","cot":[{"info":"⪎⋱⫍1C71⪢⪎⋱⫍655=NaN","layer":3},{"info":"⪎⋱⫍1804↙⪎⋱⫍A1A=⪎⋱⫍-2454","layer":3},{"info":"NaN⩷∴⪎⋱⫍-2454=NaN","layer":2},{"info":"⪎⋱⫍BC3≧⫂∧⪎⋱⫍C82=⪎⋱⫍9AA","layer":3},{"info":"⪎⋱⫍9AA↪⪝=⪎⋱⫍18091641","layer":2},{"info":"NaN⨪↰⇹⪎⋱⫍18091641=NaN","layer":1},{"info":"⪎⋱⫍986⨽⪎⋱⫍17A6=⪎⋱⫍-1869858","layer":3},{"info":"⋗⩬⋾⪎⋱⫍949=⪎⋱⫍-2211","layer":3},{"info":"⪎⋱⫍-1869858⊉≛↸⪎⋱⫍-2211=⪎⋱⫍2211","layer":2},{"info":"⪎⋱⫍614+⇶⊼⪎⋱⫍3C0B=NaN","layer":3},{"info":"↩NaN=NaN","layer":2},{"info":"⪎⋱⫍2211⩨NaN=NaN","layer":1},{"info":"NaN⨽NaN=NaN","layer":0}]}
{"id":168,"expression_no_base_symbol":"((⨰⫟⨤$1049$)⇼⇔∾$8428$∑⇟⊟$7058$+(≉(⪲⇎$1504$)))↺($2940$⪢$3726$≭($3459$%$3969$))⪢((≉$4885$)≋⫹)","expression":"((⨰⫟⨤⪎⋱⫍629)⇼⇔∾⪎⋱⫍3AB4∑⇟⊟⪎⋱⫍329C+(≉(⪲⇎⪎⋱⫍8B9)))↺(⪎⋱⫍1452⪢⪎⋱⫍1908≭(⪎⋱⫍1761%⪎⋱⫍1A64))⪢((≉⪎⋱⫍22BA)≋⫹)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":17931,"operation_count":13,"complexity_ratio":1379.3076923076924,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":1049,"base":13}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":8428,"base":13},"right_expr":{"type":"numeric_atoms","value":7058,"base":13}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1504,"base":13}}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2940,"base":13},"right_expr":{"type":"numeric_atoms","value":3726,"base":13}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":3459,"base":13},"right_expr":{"type":"numeric_atoms","value":3969,"base":13}}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":4885,"base":13}}}}},"used_operators":["7j4O788W3g","W4YGzv6Whe","tifHPKVTfV","Tw270M8GLb","U7g4x0WXJJ","e1ybzncUwg","XPYlsWDdGa","dWAJyo7jo9","rxpJgHHUmx","k8jYdgA6NY","N41Kp7NANJ"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1049","layer":4},{"info":"compute unary expreesion, input=1049, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=8428","layer":4},{"info":"number node, value=7058","layer":4},{"info":"compute binary expreesion, left_input=8428, right_input=7058, 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 = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":2},{"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 = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=3539","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=3539, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=2940","layer":4},{"info":"number node, value=3726","layer":4},{"info":"compute binary expreesion, left_input=2940, right_input=3726, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=3459","layer":4},{"info":"number node, value=3969","layer":4},{"info":"compute binary expreesion, left_input=3459, right_input=3969, op_id = k8jYdgA6NY binary_op_definition= 'None', output=3459","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3459, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=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":"compute unary expreesion, input=5416, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-10832","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-10832, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⨰⫟⨤⪎⋱⫍629)⇼⇔∾⪎⋱⫍3AB4∑⇟⊟⪎⋱⫍329C+(≉(⪲⇎⪎⋱⫍8B9)))↺(⪎⋱⫍1452⪢⪎⋱⫍1908≭(⪎⋱⫍1761%⪎⋱⫍1A64))⪢((≉⪎⋱⫍22BA)≋⫹)=NaN","reverse_text":"NaN=((⨰⫟⨤⪎⋱⫍629)⇼⇔∾⪎⋱⫍3AB4∑⇟⊟⪎⋱⫍329C+(≉(⪲⇎⪎⋱⫍8B9)))↺(⪎⋱⫍1452⪢⪎⋱⫍1908≭(⪎⋱⫍1761%⪎⋱⫍1A64))⪢((≉⪎⋱⫍22BA)≋⫹)","cot":[{"info":"⨰⫟⨤⪎⋱⫍629=NaN","layer":3},{"info":"⪎⋱⫍3AB4∑⇟⊟⪎⋱⫍329C=NaN","layer":3},{"info":"NaN⇼⇔∾NaN=NaN","layer":2},{"info":"⪲⇎⪎⋱⫍8B9=⪎⋱⫍14A5","layer":3},{"info":"≉⪎⋱⫍14A5=⪎⋱⫍17C3","layer":2},{"info":"NaN+⪎⋱⫍17C3=NaN","layer":1},{"info":"⪎⋱⫍1452⪢⪎⋱⫍1908=NaN","layer":3},{"info":"⪎⋱⫍1761%⪎⋱⫍1A64=⪎⋱⫍1761","layer":3},{"info":"NaN≭⪎⋱⫍1761=NaN","layer":2},{"info":"≉⪎⋱⫍22BA=⪎⋱⫍2608","layer":3},{"info":"⪎⋱⫍2608≋⫹=⪎⋱⫍-4C13","layer":2},{"info":"NaN⪢⪎⋱⫍-4C13=NaN","layer":1},{"info":"NaN↺NaN=NaN","layer":0}]}
{"id":169,"expression_no_base_symbol":"(($3917$≎⊠⪸$3503$)⊴($7506$⨪↰⇹$6563$)/($1305$⨰$5124$)↬(⨈⫕$2851$))⨟⋌⩍((($1947$⋓$2687$)∸)⨰(+⊝⨔(≤/$3234$)))","expression":"((⪎⋱⫍1A24≎⊠⪸⪎⋱⫍1796)⊴(⪎⋱⫍3555⨪↰⇹⪎⋱⫍2CAB)/(⪎⋱⫍795⨰⪎⋱⫍2442)↬(⨈⫕⪎⋱⫍13B4))⨟⋌⩍(((⪎⋱⫍B6A⋓⪎⋱⫍12B9)∸)⨰(+⊝⨔(≤/⪎⋱⫍161A)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":38093,"operation_count":13,"complexity_ratio":2930.230769230769,"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":3917,"base":13},"right_expr":{"type":"numeric_atoms","value":3503,"base":13}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":7506,"base":13},"right_expr":{"type":"numeric_atoms","value":6563,"base":13}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1305,"base":13},"right_expr":{"type":"numeric_atoms","value":5124,"base":13}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":2851,"base":13}}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1947,"base":13},"right_expr":{"type":"numeric_atoms","value":2687,"base":13}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":3234,"base":13}}}}},"used_operators":["rGHVDoGpnC","XhwjNDsVaA","Nsiff2A1zJ","bJkvcejdHO","tmPS8pqC7x","B5M0gjZbta","eewbuw0ToL","megm06wKyl","o20kRiQErp","T2fj7uvVaJ","DhbWaqg5eL","eLAdDNolq6"],"dependent_operators":["Tcnh7f0tEr","rysDP5nf3Z","dWAJyo7jo9","14qkJME0vr","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rJVOvQCfKK","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","tmPS8pqC7x","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3917","layer":4},{"info":"number node, value=3503","layer":4},{"info":"compute binary expreesion, left_input=3917, right_input=3503, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1014030","layer":3},{"info":"number node, value=7506","layer":4},{"info":"number node, value=6563","layer":4},{"info":"compute binary expreesion, left_input=7506, right_input=6563, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=7506","layer":3},{"info":"compute binary expreesion, left_input=1014030, right_input=7506, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=1305","layer":4},{"info":"number node, value=5124","layer":4},{"info":"compute binary expreesion, left_input=1305, right_input=5124, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-3809","layer":3},{"info":"number node, value=2851","layer":4},{"info":"compute unary expreesion, input=2851, 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=-3809, right_input=-21, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=1947","layer":4},{"info":"number node, value=2687","layer":4},{"info":"compute binary expreesion, left_input=1947, right_input=2687, op_id = T2fj7uvVaJ binary_op_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 = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":2},{"info":"number node, value=3234","layer":4},{"info":"compute unary expreesion, input=3234, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-2750","layer":3},{"info":"compute unary expreesion, input=-2750, 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 = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-1335","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-1335, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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":13,"result_base":13,"text":"((⪎⋱⫍1A24≎⊠⪸⪎⋱⫍1796)⊴(⪎⋱⫍3555⨪↰⇹⪎⋱⫍2CAB)/(⪎⋱⫍795⨰⪎⋱⫍2442)↬(⨈⫕⪎⋱⫍13B4))⨟⋌⩍(((⪎⋱⫍B6A⋓⪎⋱⫍12B9)∸)⨰(+⊝⨔(≤/⪎⋱⫍161A)))=NaN","reverse_text":"NaN=((⪎⋱⫍1A24≎⊠⪸⪎⋱⫍1796)⊴(⪎⋱⫍3555⨪↰⇹⪎⋱⫍2CAB)/(⪎⋱⫍795⨰⪎⋱⫍2442)↬(⨈⫕⪎⋱⫍13B4))⨟⋌⩍(((⪎⋱⫍B6A⋓⪎⋱⫍12B9)∸)⨰(+⊝⨔(≤/⪎⋱⫍161A)))","cot":[{"info":"⪎⋱⫍1A24≎⊠⪸⪎⋱⫍1796=⪎⋱⫍296724","layer":3},{"info":"⪎⋱⫍3555⨪↰⇹⪎⋱⫍2CAB=⪎⋱⫍3555","layer":3},{"info":"⪎⋱⫍296724⊴⪎⋱⫍3555=NaN","layer":2},{"info":"⪎⋱⫍795⨰⪎⋱⫍2442=⪎⋱⫍-1970","layer":3},{"info":"⨈⫕⪎⋱⫍13B4=⪎⋱⫍-18","layer":3},{"info":"⪎⋱⫍-1970↬⪎⋱⫍-18=NaN","layer":2},{"info":"NaN/NaN=NaN","layer":1},{"info":"⪎⋱⫍B6A⋓⪎⋱⫍12B9=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍0∸=⪎⋱⫍108","layer":2},{"info":"≤/⪎⋱⫍161A=⪎⋱⫍-1337","layer":3},{"info":"+⊝⨔⪎⋱⫍-1337=⪎⋱⫍901","layer":2},{"info":"⪎⋱⫍108⨰⪎⋱⫍901=⪎⋱⫍-7B9","layer":1},{"info":"NaN⨟⋌⩍⪎⋱⫍-7B9=NaN","layer":0}]}
{"id":170,"expression_no_base_symbol":"((⇁⨣⪵$1451$)⨓($2923$%$3964$)*(⨈⫕$1984$⨳⩥⨓$5461$))≎⊠⪸((($1794$⫩⊇)⨵⪆($7767$≋⫹))∲⫓($4017$≧⫂∧$2080$↪⪝))","expression":"((⇁⨣⪵⪎⋱⫍878)⨓(⪎⋱⫍143B%⪎⋱⫍1A5C)*(⨈⫕⪎⋱⫍B98⨳⩥⨓⪎⋱⫍2641))≎⊠⪸(((⪎⋱⫍A80⫩⊇)⨵⪆(⪎⋱⫍36C6≋⫹))∲⫓(⪎⋱⫍1AA0≧⫂∧⪎⋱⫍C40↪⪝))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4320,"operation_count":13,"complexity_ratio":332.3076923076923,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1451,"base":13}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2923,"base":13},"right_expr":{"type":"numeric_atoms","value":3964,"base":13}}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1984,"base":13},"right_expr":{"type":"numeric_atoms","value":5461,"base":13}}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":1794,"base":13}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":7767,"base":13}}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":4017,"base":13},"right_expr":{"type":"numeric_atoms","value":2080,"base":13}}}}},"used_operators":["bJkvcejdHO","9HNa5Wba9A","3ViojmjbAp","inkyxCbjAn","k8jYdgA6NY","megm06wKyl","nCS4ZIUYfx","i8ToyICDmI","2DQ55sFlQl","BjRHVeLaeN","N41Kp7NANJ","l07mrZUIn9","Ph9nP6C5qx"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","B5M0gjZbta","rysDP5nf3Z","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","2DDjHMKMc0","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍33B26C0","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1451","layer":4},{"info":"compute unary expreesion, input=1451, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=2923","layer":4},{"info":"number node, value=3964","layer":4},{"info":"compute binary expreesion, left_input=2923, right_input=3964, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2923","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2923, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2926","layer":2},{"info":"number node, value=1984","layer":4},{"info":"number node, value=5461","layer":4},{"info":"compute binary expreesion, left_input=1984, right_input=5461, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=3477","layer":3},{"info":"compute unary expreesion, input=3477, 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=-2926, right_input=-21, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=61446","layer":1},{"info":"number node, value=1794","layer":4},{"info":"compute unary expreesion, input=1794, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-1752","layer":3},{"info":"number node, value=7767","layer":4},{"info":"compute unary expreesion, input=7767, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-15534","layer":3},{"info":"compute binary expreesion, left_input=-1752, right_input=-15534, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=4017","layer":4},{"info":"number node, value=2080","layer":4},{"info":"compute binary expreesion, left_input=4017, right_input=2080, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1607","layer":3},{"info":"compute unary expreesion, input=1607, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=98319474","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=98319474, 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=61446, right_input=0, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=15914041","layer":0}],"base":13,"result_base":13,"text":"((⇁⨣⪵⪎⋱⫍878)⨓(⪎⋱⫍143B%⪎⋱⫍1A5C)*(⨈⫕⪎⋱⫍B98⨳⩥⨓⪎⋱⫍2641))≎⊠⪸(((⪎⋱⫍A80⫩⊇)⨵⪆(⪎⋱⫍36C6≋⫹))∲⫓(⪎⋱⫍1AA0≧⫂∧⪎⋱⫍C40↪⪝))=⪎⋱⫍33B26C0","reverse_text":"⪎⋱⫍33B26C0=((⇁⨣⪵⪎⋱⫍878)⨓(⪎⋱⫍143B%⪎⋱⫍1A5C)*(⨈⫕⪎⋱⫍B98⨳⩥⨓⪎⋱⫍2641))≎⊠⪸(((⪎⋱⫍A80⫩⊇)⨵⪆(⪎⋱⫍36C6≋⫹))∲⫓(⪎⋱⫍1AA0≧⫂∧⪎⋱⫍C40↪⪝))","cot":[{"info":"⇁⨣⪵⪎⋱⫍878=NaN","layer":3},{"info":"⪎⋱⫍143B%⪎⋱⫍1A5C=⪎⋱⫍143B","layer":3},{"info":"NaN⨓⪎⋱⫍143B=⪎⋱⫍-1441","layer":2},{"info":"⪎⋱⫍B98⨳⩥⨓⪎⋱⫍2641=⪎⋱⫍1776","layer":3},{"info":"⨈⫕⪎⋱⫍1776=⪎⋱⫍-18","layer":2},{"info":"⪎⋱⫍-1441*⪎⋱⫍-18=⪎⋱⫍21C78","layer":1},{"info":"⪎⋱⫍A80⫩⊇=⪎⋱⫍-A4A","layer":3},{"info":"⪎⋱⫍36C6≋⫹=⪎⋱⫍-70BC","layer":3},{"info":"⪎⋱⫍-A4A⨵⪆⪎⋱⫍-70BC=⪎⋱⫍C4","layer":2},{"info":"⪎⋱⫍1AA0≧⫂∧⪎⋱⫍C40=⪎⋱⫍968","layer":3},{"info":"⪎⋱⫍968↪⪝=⪎⋱⫍174A5906","layer":2},{"info":"⪎⋱⫍C4∲⫓⪎⋱⫍174A5906=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍21C78≎⊠⪸⪎⋱⫍0=⪎⋱⫍33B26C0","layer":0}]}
{"id":171,"expression_no_base_symbol":"⨑⩽⪐(⊄⩳↩($6681$↺$4891$))≎⊠⪸($1756$⨰$1059$⨎(↯⪼$5824$))","expression":"⨑⩽⪐(⊄⩳↩(⪎⋱⫍306C↺⪎⋱⫍22C3))≎⊠⪸(⪎⋱⫍A51⨰⪎⋱⫍636⨎(↯⪼⪎⋱⫍2860))","highest_n_order":2,"priority_hierarchical_complexity":7,"normalized_expansion_degree":318,"operation_count":7,"complexity_ratio":45.42857142857143,"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":6681,"base":13},"right_expr":{"type":"numeric_atoms","value":4891,"base":13}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1756,"base":13},"right_expr":{"type":"numeric_atoms","value":1059,"base":13}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":5824,"base":13}}}}},"used_operators":["AF7qkfDlqP","bJkvcejdHO","8w2t5hMYqp","7j4O788W3g","rJVOvQCfKK","eewbuw0ToL","8jW3W4yZS5"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp"],"result":"⪎⋱⫍-A30854","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=6681","layer":4},{"info":"number node, value=4891","layer":4},{"info":"compute binary expreesion, left_input=6681, right_input=4891, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=4891","layer":3},{"info":"compute unary expreesion, input=4891, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-14673","layer":2},{"info":"number node, value=1756","layer":4},{"info":"number node, value=1059","layer":4},{"info":"compute binary expreesion, left_input=1756, right_input=1059, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=707","layer":3},{"info":"number node, value=5824","layer":4},{"info":"compute unary expreesion, input=5824, 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=707, right_input=-21, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-21","layer":2},{"info":"compute binary expreesion, left_input=-14673, right_input=-21, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=3800307","layer":1},{"info":"compute unary expreesion, input=3800307, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-3800034","layer":0}],"base":13,"result_base":13,"text":"⨑⩽⪐(⊄⩳↩(⪎⋱⫍306C↺⪎⋱⫍22C3))≎⊠⪸(⪎⋱⫍A51⨰⪎⋱⫍636⨎(↯⪼⪎⋱⫍2860))=⪎⋱⫍-A30854","reverse_text":"⪎⋱⫍-A30854=⨑⩽⪐(⊄⩳↩(⪎⋱⫍306C↺⪎⋱⫍22C3))≎⊠⪸(⪎⋱⫍A51⨰⪎⋱⫍636⨎(↯⪼⪎⋱⫍2860))","cot":[{"info":"⪎⋱⫍306C↺⪎⋱⫍22C3=⪎⋱⫍22C3","layer":3},{"info":"⊄⩳↩⪎⋱⫍22C3=⪎⋱⫍-68A9","layer":2},{"info":"⪎⋱⫍A51⨰⪎⋱⫍636=⪎⋱⫍425","layer":3},{"info":"↯⪼⪎⋱⫍2860=⪎⋱⫍-18","layer":3},{"info":"⪎⋱⫍425⨎⪎⋱⫍-18=⪎⋱⫍-18","layer":2},{"info":"⪎⋱⫍-68A9≎⊠⪸⪎⋱⫍-18=⪎⋱⫍A30A04","layer":1},{"info":"⨑⩽⪐⪎⋱⫍A30A04=⪎⋱⫍-A30854","layer":0}]}
{"id":172,"expression_no_base_symbol":"((($2562$⪄$2279$)≣⋋)⨳⩥⨓$5744$∼$3167$⪘⫢($5521$⋓$4209$))⪮%⊝((⨞⊢$2467$⪢$3159$)↺$3804$≭$5716$⋳⪒$5924$≭$1093$)","expression":"(((⪎⋱⫍1221⪄⪎⋱⫍1064)≣⋋)⨳⩥⨓⪎⋱⫍27CB∼⪎⋱⫍1598⪘⫢(⪎⋱⫍2689⋓⪎⋱⫍1BBA))⪮%⊝((⨞⊢⪎⋱⫍117A⪢⪎⋱⫍1590)↺⪎⋱⫍1968≭⪎⋱⫍27A9⋳⪒⪎⋱⫍2909≭⪎⋱⫍661)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3929,"operation_count":13,"complexity_ratio":302.2307692307692,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2562,"base":13},"right_expr":{"type":"numeric_atoms","value":2279,"base":13}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":5744,"base":13},"right_expr":{"type":"numeric_atoms","value":3167,"base":13}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":5521,"base":13},"right_expr":{"type":"numeric_atoms","value":4209,"base":13}}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2467,"base":13},"right_expr":{"type":"numeric_atoms","value":3159,"base":13}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":3804,"base":13},"right_expr":{"type":"numeric_atoms","value":5716,"base":13}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":5924,"base":13},"right_expr":{"type":"numeric_atoms","value":1093,"base":13}}}}},"used_operators":["IWmyXbctLI","nCS4ZIUYfx","Tcnh7f0tEr","SUmda5xLS4","oacrs7FA3X","DyGG3AbaNP","T2fj7uvVaJ","7j4O788W3g","xUOZtlo3hN","dWAJyo7jo9","12rbrZMWeM","rxpJgHHUmx"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2562","layer":4},{"info":"number node, value=2279","layer":4},{"info":"compute binary expreesion, left_input=2562, right_input=2279, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-384381","layer":3},{"info":"compute unary expreesion, input=-384381, 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=5744","layer":4},{"info":"number node, value=3167","layer":4},{"info":"compute binary expreesion, left_input=5744, right_input=3167, 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=5521","layer":4},{"info":"number node, value=4209","layer":4},{"info":"compute binary expreesion, left_input=5521, right_input=4209, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":1},{"info":"number node, value=2467","layer":4},{"info":"number node, value=3159","layer":4},{"info":"compute binary expreesion, left_input=2467, right_input=3159, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=3804","layer":4},{"info":"number node, value=5716","layer":4},{"info":"compute binary expreesion, left_input=3804, right_input=5716, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=5924","layer":4},{"info":"number node, value=1093","layer":4},{"info":"compute binary expreesion, left_input=5924, right_input=1093, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=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=nan, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(((⪎⋱⫍1221⪄⪎⋱⫍1064)≣⋋)⨳⩥⨓⪎⋱⫍27CB∼⪎⋱⫍1598⪘⫢(⪎⋱⫍2689⋓⪎⋱⫍1BBA))⪮%⊝((⨞⊢⪎⋱⫍117A⪢⪎⋱⫍1590)↺⪎⋱⫍1968≭⪎⋱⫍27A9⋳⪒⪎⋱⫍2909≭⪎⋱⫍661)=NaN","reverse_text":"NaN=(((⪎⋱⫍1221⪄⪎⋱⫍1064)≣⋋)⨳⩥⨓⪎⋱⫍27CB∼⪎⋱⫍1598⪘⫢(⪎⋱⫍2689⋓⪎⋱⫍1BBA))⪮%⊝((⨞⊢⪎⋱⫍117A⪢⪎⋱⫍1590)↺⪎⋱⫍1968≭⪎⋱⫍27A9⋳⪒⪎⋱⫍2909≭⪎⋱⫍661)","cot":[{"info":"⪎⋱⫍1221⪄⪎⋱⫍1064=⪎⋱⫍-105C5A","layer":3},{"info":"⪎⋱⫍-105C5A≣⋋=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍27CB∼⪎⋱⫍1598=NaN","layer":3},{"info":"⪎⋱⫍2689⋓⪎⋱⫍1BBA=⪎⋱⫍0","layer":3},{"info":"NaN⪘⫢⪎⋱⫍0=NaN","layer":2},{"info":"⪎⋱⫍0⨳⩥⨓NaN=NaN","layer":1},{"info":"⪎⋱⫍117A⪢⪎⋱⫍1590=NaN","layer":3},{"info":"⨞⊢NaN=NaN","layer":2},{"info":"⪎⋱⫍1968≭⪎⋱⫍27A9=NaN","layer":3},{"info":"⪎⋱⫍2909≭⪎⋱⫍661=NaN","layer":3},{"info":"NaN⋳⪒NaN=NaN","layer":2},{"info":"NaN↺NaN=NaN","layer":1},{"info":"NaN⪮%⊝NaN=NaN","layer":0}]}
{"id":173,"expression_no_base_symbol":"($1123$⊭↱$6862$)⋥≓≎(≦∁$3930$)+$1193$⨎$4112$⨎($6227$⫡⨏$2638$)+(↯⪼(⇁⨣⪵$5181$))⋥≓≎($2365$↙$7329$)⪘⫢$4447$↬$4845$","expression":"(⪎⋱⫍685⊭↱⪎⋱⫍317B)⋥≓≎(≦∁⪎⋱⫍1A34)+⪎⋱⫍70A⨎⪎⋱⫍1B44⨎(⪎⋱⫍2AB0⫡⨏⪎⋱⫍127C)+(↯⪼(⇁⨣⪵⪎⋱⫍2487))⋥≓≎(⪎⋱⫍10CC↙⪎⋱⫍344A)⪘⫢⪎⋱⫍2041↬⪎⋱⫍2289","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":7400,"operation_count":14,"complexity_ratio":528.5714285714286,"tree":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1123,"base":13},"right_expr":{"type":"numeric_atoms","value":6862,"base":13}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":3930,"base":13}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1193,"base":13},"right_expr":{"type":"numeric_atoms","value":4112,"base":13}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":6227,"base":13},"right_expr":{"type":"numeric_atoms","value":2638,"base":13}}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":5181,"base":13}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2365,"base":13},"right_expr":{"type":"numeric_atoms","value":7329,"base":13}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":4447,"base":13},"right_expr":{"type":"numeric_atoms","value":4845,"base":13}}}}},"used_operators":["W4YGzv6Whe","Qy55tPpLXF","COABgblf1C","9ICcGScMcE","rJVOvQCfKK","QMFrweE19q","8jW3W4yZS5","inkyxCbjAn","oacrs7FA3X","yyfyN0ffXY","B5M0gjZbta"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","B5M0gjZbta","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","tmPS8pqC7x","DpFCA1CohY","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1123","layer":4},{"info":"number node, value=6862","layer":4},{"info":"compute binary expreesion, left_input=1123, right_input=6862, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=11483","layer":3},{"info":"number node, value=3930","layer":4},{"info":"compute unary expreesion, input=3930, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=3930","layer":3},{"info":"compute binary expreesion, left_input=11483, right_input=3930, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-3590","layer":2},{"info":"number node, value=1193","layer":4},{"info":"number node, value=4112","layer":4},{"info":"compute binary expreesion, left_input=1193, right_input=4112, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=4112","layer":3},{"info":"number node, value=6227","layer":4},{"info":"number node, value=2638","layer":4},{"info":"compute binary expreesion, left_input=6227, right_input=2638, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=37194","layer":3},{"info":"compute binary expreesion, left_input=4112, right_input=37194, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=37194","layer":2},{"info":"compute binary expreesion, left_input=-3590, right_input=37194, op_id = W4YGzv6Whe binary_op_definition= 'None', output=33604","layer":1},{"info":"number node, value=5181","layer":4},{"info":"compute unary expreesion, input=5181, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', 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=2365","layer":4},{"info":"number node, value=7329","layer":4},{"info":"compute binary expreesion, left_input=2365, right_input=7329, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-21987","layer":3},{"info":"number node, value=4447","layer":4},{"info":"number node, value=4845","layer":4},{"info":"compute binary expreesion, left_input=4447, right_input=4845, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=-21987, 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=-21, 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=33604, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍685⊭↱⪎⋱⫍317B)⋥≓≎(≦∁⪎⋱⫍1A34)+⪎⋱⫍70A⨎⪎⋱⫍1B44⨎(⪎⋱⫍2AB0⫡⨏⪎⋱⫍127C)+(↯⪼(⇁⨣⪵⪎⋱⫍2487))⋥≓≎(⪎⋱⫍10CC↙⪎⋱⫍344A)⪘⫢⪎⋱⫍2041↬⪎⋱⫍2289=NaN","reverse_text":"NaN=(⪎⋱⫍685⊭↱⪎⋱⫍317B)⋥≓≎(≦∁⪎⋱⫍1A34)+⪎⋱⫍70A⨎⪎⋱⫍1B44⨎(⪎⋱⫍2AB0⫡⨏⪎⋱⫍127C)+(↯⪼(⇁⨣⪵⪎⋱⫍2487))⋥≓≎(⪎⋱⫍10CC↙⪎⋱⫍344A)⪘⫢⪎⋱⫍2041↬⪎⋱⫍2289","cot":[{"info":"⪎⋱⫍685⊭↱⪎⋱⫍317B=⪎⋱⫍52C4","layer":3},{"info":"≦∁⪎⋱⫍1A34=⪎⋱⫍1A34","layer":3},{"info":"⪎⋱⫍52C4⋥≓≎⪎⋱⫍1A34=⪎⋱⫍-1832","layer":2},{"info":"⪎⋱⫍70A⨎⪎⋱⫍1B44=⪎⋱⫍1B44","layer":3},{"info":"⪎⋱⫍2AB0⫡⨏⪎⋱⫍127C=⪎⋱⫍13C11","layer":3},{"info":"⪎⋱⫍1B44⨎⪎⋱⫍13C11=⪎⋱⫍13C11","layer":2},{"info":"⪎⋱⫍-1832+⪎⋱⫍13C11=⪎⋱⫍123AC","layer":1},{"info":"⇁⨣⪵⪎⋱⫍2487=NaN","layer":3},{"info":"↯⪼NaN=⪎⋱⫍-18","layer":2},{"info":"⪎⋱⫍10CC↙⪎⋱⫍344A=⪎⋱⫍-A014","layer":3},{"info":"⪎⋱⫍2041↬⪎⋱⫍2289=NaN","layer":3},{"info":"⪎⋱⫍-A014⪘⫢NaN=NaN","layer":2},{"info":"⪎⋱⫍-18⋥≓≎NaN=NaN","layer":1},{"info":"⪎⋱⫍123AC+NaN=NaN","layer":0}]}
{"id":174,"expression_no_base_symbol":"((↩$4616$)+⇶⊼($5862$⇼⇔∾$5073$)⋷($2096$⨳⩥⨓$1016$)⇷($3417$≎⊠⪸$1867$))+⇶⊼(($3668$≎⊠⪸$5307$⊭↱($2036$⊪))↺($1004$≭$2285$)⨪↰⇹(⊄⩳↩$1876$))","expression":"((↩⪎⋱⫍2141)+⇶⊼(⪎⋱⫍288C⇼⇔∾⪎⋱⫍2403)⋷(⪎⋱⫍C53⨳⩥⨓⪎⋱⫍602)⇷(⪎⋱⫍172B≎⊠⪸⪎⋱⫍B08))+⇶⊼((⪎⋱⫍1892≎⊠⪸⪎⋱⫍2553⊭↱(⪎⋱⫍C08⊪))↺(⪎⋱⫍5C3≭⪎⋱⫍106A)⨪↰⇹(⊄⩳↩⪎⋱⫍B14))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":15737,"operation_count":15,"complexity_ratio":1049.1333333333334,"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":4616,"base":13}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":5862,"base":13},"right_expr":{"type":"numeric_atoms","value":5073,"base":13}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2096,"base":13},"right_expr":{"type":"numeric_atoms","value":1016,"base":13}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":3417,"base":13},"right_expr":{"type":"numeric_atoms","value":1867,"base":13}}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":3668,"base":13},"right_expr":{"type":"numeric_atoms","value":5307,"base":13}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":2036,"base":13}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1004,"base":13},"right_expr":{"type":"numeric_atoms","value":2285,"base":13}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1876,"base":13}}}}},"used_operators":["TpPTUOHfaN","23Mk6UjR3U","jLgFTUHLKL","tifHPKVTfV","mp7IySMOzn","nCS4ZIUYfx","bJkvcejdHO","7j4O788W3g","COABgblf1C","zVYPLywUTj","tmPS8pqC7x","rxpJgHHUmx","8w2t5hMYqp"],"dependent_operators":["AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","rJVOvQCfKK","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4616","layer":4},{"info":"compute unary expreesion, input=4616, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-34148","layer":3},{"info":"number node, value=5862","layer":4},{"info":"number node, value=5073","layer":4},{"info":"compute binary expreesion, left_input=5862, right_input=5073, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-789","layer":3},{"info":"compute binary expreesion, left_input=-34148, right_input=-789, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=2096","layer":4},{"info":"number node, value=1016","layer":4},{"info":"compute binary expreesion, left_input=2096, right_input=1016, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-1080","layer":3},{"info":"number node, value=3417","layer":4},{"info":"number node, value=1867","layer":4},{"info":"compute binary expreesion, left_input=3417, right_input=1867, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=884530","layer":3},{"info":"compute binary expreesion, left_input=-1080, right_input=884530, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=1769060","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1769060, 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=3668","layer":4},{"info":"number node, value=5307","layer":4},{"info":"compute binary expreesion, left_input=3668, right_input=5307, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=949539","layer":3},{"info":"number node, value=2036","layer":4},{"info":"compute unary expreesion, input=2036, 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=949539, right_input=0, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-1899073","layer":2},{"info":"number node, value=1004","layer":4},{"info":"number node, value=2285","layer":4},{"info":"compute binary expreesion, left_input=1004, right_input=2285, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=1876","layer":4},{"info":"compute unary expreesion, input=1876, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-5628","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-5628, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((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=-1899073, 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 = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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":13,"result_base":13,"text":"((↩⪎⋱⫍2141)+⇶⊼(⪎⋱⫍288C⇼⇔∾⪎⋱⫍2403)⋷(⪎⋱⫍C53⨳⩥⨓⪎⋱⫍602)⇷(⪎⋱⫍172B≎⊠⪸⪎⋱⫍B08))+⇶⊼((⪎⋱⫍1892≎⊠⪸⪎⋱⫍2553⊭↱(⪎⋱⫍C08⊪))↺(⪎⋱⫍5C3≭⪎⋱⫍106A)⨪↰⇹(⊄⩳↩⪎⋱⫍B14))=NaN","reverse_text":"NaN=((↩⪎⋱⫍2141)+⇶⊼(⪎⋱⫍288C⇼⇔∾⪎⋱⫍2403)⋷(⪎⋱⫍C53⨳⩥⨓⪎⋱⫍602)⇷(⪎⋱⫍172B≎⊠⪸⪎⋱⫍B08))+⇶⊼((⪎⋱⫍1892≎⊠⪸⪎⋱⫍2553⊭↱(⪎⋱⫍C08⊪))↺(⪎⋱⫍5C3≭⪎⋱⫍106A)⨪↰⇹(⊄⩳↩⪎⋱⫍B14))","cot":[{"info":"↩⪎⋱⫍2141=⪎⋱⫍-1270A","layer":3},{"info":"⪎⋱⫍288C⇼⇔∾⪎⋱⫍2403=⪎⋱⫍-489","layer":3},{"info":"⪎⋱⫍-1270A+⇶⊼⪎⋱⫍-489=NaN","layer":2},{"info":"⪎⋱⫍C53⨳⩥⨓⪎⋱⫍602=⪎⋱⫍-651","layer":3},{"info":"⪎⋱⫍172B≎⊠⪸⪎⋱⫍B08=⪎⋱⫍24C7BA","layer":3},{"info":"⪎⋱⫍-651⇷⪎⋱⫍24C7BA=⪎⋱⫍49C2A7","layer":2},{"info":"NaN⋷⪎⋱⫍49C2A7=NaN","layer":1},{"info":"⪎⋱⫍1892≎⊠⪸⪎⋱⫍2553=⪎⋱⫍273276","layer":3},{"info":"⪎⋱⫍C08⊪=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍273276⊭↱⪎⋱⫍0=⪎⋱⫍-516517","layer":2},{"info":"⪎⋱⫍5C3≭⪎⋱⫍106A=NaN","layer":3},{"info":"⊄⩳↩⪎⋱⫍B14=⪎⋱⫍-273C","layer":3},{"info":"NaN⨪↰⇹⪎⋱⫍-273C=NaN","layer":2},{"info":"⪎⋱⫍-516517↺NaN=NaN","layer":1},{"info":"NaN+⇶⊼NaN=NaN","layer":0}]}
{"id":175,"expression_no_base_symbol":"(⨵≀≌$3937$⨓$1356$)⨟⋌⩍($2831$⪮%⊝$2852$)⊴($2254$↙$2311$)⨳⩥⨓($1902$⩷∴$3401$⨐⩸⫘$1117$⫥∨⫟$6130$%$2441$⩷∴$1011$↺$1268$⨎$2055$)","expression":"(⨵≀≌⪎⋱⫍1A3B⨓⪎⋱⫍804)⨟⋌⩍(⪎⋱⫍139A⪮%⊝⪎⋱⫍13B5)⊴(⪎⋱⫍1045↙⪎⋱⫍108A)⨳⩥⨓(⪎⋱⫍B34⩷∴⪎⋱⫍1718⨐⩸⫘⪎⋱⫍67C⫥∨⫟⪎⋱⫍2A37%⪎⋱⫍115A⩷∴⪎⋱⫍5CA↺⪎⋱⫍767⨎⪎⋱⫍C21)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":16945,"operation_count":14,"complexity_ratio":1210.357142857143,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":3937,"base":13},"right_expr":{"type":"numeric_atoms","value":1356,"base":13}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2831,"base":13},"right_expr":{"type":"numeric_atoms","value":2852,"base":13}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2254,"base":13},"right_expr":{"type":"numeric_atoms","value":2311,"base":13}}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1902,"base":13},"right_expr":{"type":"numeric_atoms","value":3401,"base":13}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1117,"base":13},"right_expr":{"type":"numeric_atoms","value":6130,"base":13}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2441,"base":13},"right_expr":{"type":"numeric_atoms","value":1011,"base":13}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1268,"base":13},"right_expr":{"type":"numeric_atoms","value":2055,"base":13}}}}},"used_operators":["nCS4ZIUYfx","rGHVDoGpnC","srAu1WTS94","3ViojmjbAp","Nsiff2A1zJ","IWmyXbctLI","yyfyN0ffXY","k8jYdgA6NY","fu6greOZ01","9FxExcQeMw","KYD54nUTWz","7j4O788W3g","rJVOvQCfKK"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","Tcnh7f0tEr","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","dWAJyo7jo9","14qkJME0vr","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","3ViojmjbAp","rysDP5nf3Z","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3937","layer":4},{"info":"number node, value=1356","layer":4},{"info":"compute binary expreesion, left_input=3937, right_input=1356, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1359","layer":3},{"info":"compute unary expreesion, input=-1359, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=1846881","layer":2},{"info":"number node, value=2831","layer":4},{"info":"number node, value=2852","layer":4},{"info":"compute binary expreesion, left_input=2831, right_input=2852, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=5978","layer":3},{"info":"number node, value=2254","layer":4},{"info":"number node, value=2311","layer":4},{"info":"compute binary expreesion, left_input=2254, right_input=2311, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-6933","layer":3},{"info":"compute binary expreesion, left_input=5978, right_input=-6933, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1846881, 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=1902","layer":4},{"info":"number node, value=3401","layer":4},{"info":"compute binary expreesion, left_input=1902, right_input=3401, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-3030","layer":3},{"info":"number node, value=1117","layer":4},{"info":"number node, value=6130","layer":4},{"info":"compute binary expreesion, left_input=1117, right_input=6130, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-3030, 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=2441","layer":4},{"info":"number node, value=1011","layer":4},{"info":"compute binary expreesion, left_input=2441, right_input=1011, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=2828","layer":3},{"info":"number node, value=1268","layer":4},{"info":"number node, value=2055","layer":4},{"info":"compute binary expreesion, left_input=1268, right_input=2055, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2055","layer":3},{"info":"compute binary expreesion, left_input=2828, right_input=2055, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2055","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=2055, 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":13,"result_base":13,"text":"(⨵≀≌⪎⋱⫍1A3B⨓⪎⋱⫍804)⨟⋌⩍(⪎⋱⫍139A⪮%⊝⪎⋱⫍13B5)⊴(⪎⋱⫍1045↙⪎⋱⫍108A)⨳⩥⨓(⪎⋱⫍B34⩷∴⪎⋱⫍1718⨐⩸⫘⪎⋱⫍67C⫥∨⫟⪎⋱⫍2A37%⪎⋱⫍115A⩷∴⪎⋱⫍5CA↺⪎⋱⫍767⨎⪎⋱⫍C21)=NaN","reverse_text":"NaN=(⨵≀≌⪎⋱⫍1A3B⨓⪎⋱⫍804)⨟⋌⩍(⪎⋱⫍139A⪮%⊝⪎⋱⫍13B5)⊴(⪎⋱⫍1045↙⪎⋱⫍108A)⨳⩥⨓(⪎⋱⫍B34⩷∴⪎⋱⫍1718⨐⩸⫘⪎⋱⫍67C⫥∨⫟⪎⋱⫍2A37%⪎⋱⫍115A⩷∴⪎⋱⫍5CA↺⪎⋱⫍767⨎⪎⋱⫍C21)","cot":[{"info":"⪎⋱⫍1A3B⨓⪎⋱⫍804=⪎⋱⫍-807","layer":3},{"info":"⨵≀≌⪎⋱⫍-807=⪎⋱⫍4C883A","layer":2},{"info":"⪎⋱⫍139A⪮%⊝⪎⋱⫍13B5=⪎⋱⫍294B","layer":3},{"info":"⪎⋱⫍1045↙⪎⋱⫍108A=⪎⋱⫍-3204","layer":3},{"info":"⪎⋱⫍294B⊴⪎⋱⫍-3204=NaN","layer":2},{"info":"⪎⋱⫍4C883A⨟⋌⩍NaN=NaN","layer":1},{"info":"⪎⋱⫍B34⩷∴⪎⋱⫍1718=⪎⋱⫍-14C1","layer":3},{"info":"⪎⋱⫍67C⫥∨⫟⪎⋱⫍2A37=NaN","layer":3},{"info":"⪎⋱⫍-14C1⨐⩸⫘NaN=NaN","layer":2},{"info":"⪎⋱⫍115A⩷∴⪎⋱⫍5CA=⪎⋱⫍1397","layer":3},{"info":"⪎⋱⫍767⨎⪎⋱⫍C21=⪎⋱⫍C21","layer":3},{"info":"⪎⋱⫍1397↺⪎⋱⫍C21=⪎⋱⫍C21","layer":2},{"info":"NaN%⪎⋱⫍C21=NaN","layer":1},{"info":"NaN⨳⩥⨓NaN=NaN","layer":0}]}
{"id":176,"expression_no_base_symbol":"(∥⊫($2036$∑⇟⊟$1968$)⨟⋌⩍$6494$⪢$5018$)⨳⩥⨓(⨈⫕(⩦⩻⨪$2106$⋳⪒$6777$))","expression":"(∥⊫(⪎⋱⫍C08∑⇟⊟⪎⋱⫍B85)⨟⋌⩍⪎⋱⫍2C57⪢⪎⋱⫍2390)⨳⩥⨓(⨈⫕(⩦⩻⨪⪎⋱⫍C60⋳⪒⪎⋱⫍3114))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":10303,"operation_count":8,"complexity_ratio":1287.875,"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":2036,"base":13},"right_expr":{"type":"numeric_atoms","value":1968,"base":13}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":6494,"base":13},"right_expr":{"type":"numeric_atoms","value":5018,"base":13}}}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2106,"base":13},"right_expr":{"type":"numeric_atoms","value":6777,"base":13}}}}},"used_operators":["nCS4ZIUYfx","P8v4zCKN1o","rGHVDoGpnC","U7g4x0WXJJ","dWAJyo7jo9","megm06wKyl","2td37pGCOC","12rbrZMWeM"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","k8jYdgA6NY","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2036","layer":4},{"info":"number node, value=1968","layer":4},{"info":"compute binary expreesion, left_input=2036, right_input=1968, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=6494","layer":4},{"info":"number node, value=5018","layer":4},{"info":"compute binary expreesion, left_input=6494, right_input=5018, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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 = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=nan","layer":1},{"info":"number node, value=2106","layer":4},{"info":"number node, value=6777","layer":4},{"info":"compute binary expreesion, left_input=2106, right_input=6777, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-2852","layer":3},{"info":"compute unary expreesion, input=-2852, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=-2852","layer":2},{"info":"compute unary expreesion, input=-2852, 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 = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(∥⊫(⪎⋱⫍C08∑⇟⊟⪎⋱⫍B85)⨟⋌⩍⪎⋱⫍2C57⪢⪎⋱⫍2390)⨳⩥⨓(⨈⫕(⩦⩻⨪⪎⋱⫍C60⋳⪒⪎⋱⫍3114))=NaN","reverse_text":"NaN=(∥⊫(⪎⋱⫍C08∑⇟⊟⪎⋱⫍B85)⨟⋌⩍⪎⋱⫍2C57⪢⪎⋱⫍2390)⨳⩥⨓(⨈⫕(⩦⩻⨪⪎⋱⫍C60⋳⪒⪎⋱⫍3114))","cot":[{"info":"⪎⋱⫍C08∑⇟⊟⪎⋱⫍B85=NaN","layer":3},{"info":"⪎⋱⫍2C57⪢⪎⋱⫍2390=NaN","layer":3},{"info":"NaN⨟⋌⩍NaN=NaN","layer":2},{"info":"∥⊫NaN=NaN","layer":1},{"info":"⪎⋱⫍C60⋳⪒⪎⋱⫍3114=⪎⋱⫍-13B5","layer":3},{"info":"⩦⩻⨪⪎⋱⫍-13B5=⪎⋱⫍-13B5","layer":2},{"info":"⨈⫕⪎⋱⫍-13B5=⪎⋱⫍-18","layer":1},{"info":"NaN⨳⩥⨓⪎⋱⫍-18=NaN","layer":0}]}
{"id":177,"expression_no_base_symbol":"(($1639$⨎$2365$)≭$1037$⋝⋈⪟$8187$)∀⇚≩($1870$⋓$3351$⋷$1361$⨸⪁$1959$)⨳⩥⨓(⊄⩳↩((⩦⩻⨪$5134$)∑⇟⊟$3846$⨪↰⇹$4264$))","expression":"((⪎⋱⫍991⨎⪎⋱⫍10CC)≭⪎⋱⫍61A⋝⋈⪟⪎⋱⫍395A)∀⇚≩(⪎⋱⫍B0B⋓⪎⋱⫍16AA⋷⪎⋱⫍809⨸⪁⪎⋱⫍B79)⨳⩥⨓(⊄⩳↩((⩦⩻⨪⪎⋱⫍244C)∑⇟⊟⪎⋱⫍199B⨪↰⇹⪎⋱⫍1C30))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3880,"operation_count":12,"complexity_ratio":323.3333333333333,"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":1639,"base":13},"right_expr":{"type":"numeric_atoms","value":2365,"base":13}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1037,"base":13},"right_expr":{"type":"numeric_atoms","value":8187,"base":13}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1870,"base":13},"right_expr":{"type":"numeric_atoms","value":3351,"base":13}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1361,"base":13},"right_expr":{"type":"numeric_atoms","value":1959,"base":13}}}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":5134,"base":13}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":3846,"base":13},"right_expr":{"type":"numeric_atoms","value":4264,"base":13}}}}},"used_operators":["nCS4ZIUYfx","LRNGc0VcxI","rxpJgHHUmx","rJVOvQCfKK","2DDjHMKMc0","23Mk6UjR3U","T2fj7uvVaJ","g55IO6H4Gj","8w2t5hMYqp","U7g4x0WXJJ","2td37pGCOC","tmPS8pqC7x"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","X99M06cbEe","AHs5Up7iyr","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1639","layer":4},{"info":"number node, value=2365","layer":4},{"info":"compute binary expreesion, left_input=1639, right_input=2365, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2365","layer":3},{"info":"number node, value=1037","layer":4},{"info":"number node, value=8187","layer":4},{"info":"compute binary expreesion, left_input=1037, right_input=8187, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1037","layer":3},{"info":"compute binary expreesion, left_input=2365, right_input=1037, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=1870","layer":4},{"info":"number node, value=3351","layer":4},{"info":"compute binary expreesion, left_input=1870, right_input=3351, op_id = T2fj7uvVaJ binary_op_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=1361","layer":4},{"info":"number node, value=1959","layer":4},{"info":"compute binary expreesion, left_input=1361, right_input=1959, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=6640","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=6640, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=5134","layer":4},{"info":"compute unary expreesion, input=5134, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=5134","layer":3},{"info":"number node, value=3846","layer":4},{"info":"number node, value=4264","layer":4},{"info":"compute binary expreesion, left_input=3846, right_input=4264, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=3846","layer":3},{"info":"compute binary expreesion, left_input=5134, right_input=3846, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=nan","layer":1},{"info":"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":13,"result_base":13,"text":"((⪎⋱⫍991⨎⪎⋱⫍10CC)≭⪎⋱⫍61A⋝⋈⪟⪎⋱⫍395A)∀⇚≩(⪎⋱⫍B0B⋓⪎⋱⫍16AA⋷⪎⋱⫍809⨸⪁⪎⋱⫍B79)⨳⩥⨓(⊄⩳↩((⩦⩻⨪⪎⋱⫍244C)∑⇟⊟⪎⋱⫍199B⨪↰⇹⪎⋱⫍1C30))=NaN","reverse_text":"NaN=((⪎⋱⫍991⨎⪎⋱⫍10CC)≭⪎⋱⫍61A⋝⋈⪟⪎⋱⫍395A)∀⇚≩(⪎⋱⫍B0B⋓⪎⋱⫍16AA⋷⪎⋱⫍809⨸⪁⪎⋱⫍B79)⨳⩥⨓(⊄⩳↩((⩦⩻⨪⪎⋱⫍244C)∑⇟⊟⪎⋱⫍199B⨪↰⇹⪎⋱⫍1C30))","cot":[{"info":"⪎⋱⫍991⨎⪎⋱⫍10CC=⪎⋱⫍10CC","layer":3},{"info":"⪎⋱⫍61A⋝⋈⪟⪎⋱⫍395A=⪎⋱⫍61A","layer":3},{"info":"⪎⋱⫍10CC≭⪎⋱⫍61A=NaN","layer":2},{"info":"⪎⋱⫍B0B⋓⪎⋱⫍16AA=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍809⨸⪁⪎⋱⫍B79=⪎⋱⫍303A","layer":3},{"info":"⪎⋱⫍0⋷⪎⋱⫍303A=⪎⋱⫍0","layer":2},{"info":"NaN∀⇚≩⪎⋱⫍0=NaN","layer":1},{"info":"⩦⩻⨪⪎⋱⫍244C=⪎⋱⫍244C","layer":3},{"info":"⪎⋱⫍199B⨪↰⇹⪎⋱⫍1C30=⪎⋱⫍199B","layer":3},{"info":"⪎⋱⫍244C∑⇟⊟⪎⋱⫍199B=NaN","layer":2},{"info":"⊄⩳↩NaN=NaN","layer":1},{"info":"NaN⨳⩥⨓NaN=NaN","layer":0}]}
{"id":178,"expression_no_base_symbol":"((≉($3196$/$2228$))⪄(⇁⨣⪵($2166$⫡⨏$3602$)))⫩⊇","expression":"((≉(⪎⋱⫍15BB/⪎⋱⫍1025))⪄(⇁⨣⪵(⪎⋱⫍CA8⫡⨏⪎⋱⫍1841)))⫩⊇","highest_n_order":5,"priority_hierarchical_complexity":3,"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":3196,"base":13},"right_expr":{"type":"numeric_atoms","value":2228,"base":13}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2166,"base":13},"right_expr":{"type":"numeric_atoms","value":3602,"base":13}}}}},"used_operators":["BjRHVeLaeN","SUmda5xLS4","e1ybzncUwg","XhwjNDsVaA","inkyxCbjAn","QMFrweE19q"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","B5M0gjZbta","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3196","layer":4},{"info":"number node, value=2228","layer":4},{"info":"compute binary expreesion, left_input=3196, right_input=2228, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"compute unary expreesion, input=1, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=532","layer":2},{"info":"number node, value=2166","layer":4},{"info":"number node, value=3602","layer":4},{"info":"compute binary expreesion, left_input=2166, right_input=3602, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=18817","layer":3},{"info":"compute unary expreesion, input=18817, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=532, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((≉(⪎⋱⫍15BB/⪎⋱⫍1025))⪄(⇁⨣⪵(⪎⋱⫍CA8⫡⨏⪎⋱⫍1841)))⫩⊇=NaN","reverse_text":"NaN=((≉(⪎⋱⫍15BB/⪎⋱⫍1025))⪄(⇁⨣⪵(⪎⋱⫍CA8⫡⨏⪎⋱⫍1841)))⫩⊇","cot":[{"info":"⪎⋱⫍15BB/⪎⋱⫍1025=⪎⋱⫍1","layer":3},{"info":"≉⪎⋱⫍1=⪎⋱⫍31C","layer":2},{"info":"⪎⋱⫍CA8⫡⨏⪎⋱⫍1841=⪎⋱⫍8746","layer":3},{"info":"⇁⨣⪵⪎⋱⫍8746=NaN","layer":2},{"info":"⪎⋱⫍31C⪄NaN=NaN","layer":1},{"info":"NaN⫩⊇=NaN","layer":0}]}
{"id":179,"expression_no_base_symbol":"(($3419$⫡⨏$6918$)⇼⇔∾($3362$⊦⊿)⫡⨏($3596$⋳⪒$1621$⋷$4140$≹⇙⪍$1555$))⇷(($2646$⋝⋈⪟$7167$)≹⇙⪍($3366$⨪↰⇹$1155$)⫌⩹⨱)","expression":"((⪎⋱⫍1730⫡⨏⪎⋱⫍31C2)⇼⇔∾(⪎⋱⫍16B8⊦⊿)⫡⨏(⪎⋱⫍1838⋳⪒⪎⋱⫍979⋷⪎⋱⫍1B66≹⇙⪍⪎⋱⫍928))⇷((⪎⋱⫍1287⋝⋈⪟⪎⋱⫍3354)≹⇙⪍(⪎⋱⫍16BC⨪↰⇹⪎⋱⫍6AB)⫌⩹⨱)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3417,"operation_count":12,"complexity_ratio":284.75,"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":3419,"base":13},"right_expr":{"type":"numeric_atoms","value":6918,"base":13}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":3362,"base":13}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":3596,"base":13},"right_expr":{"type":"numeric_atoms","value":1621,"base":13}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":4140,"base":13},"right_expr":{"type":"numeric_atoms","value":1555,"base":13}}}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2646,"base":13},"right_expr":{"type":"numeric_atoms","value":7167,"base":13}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":3366,"base":13},"right_expr":{"type":"numeric_atoms","value":1155,"base":13}}}}},"used_operators":["mp7IySMOzn","QMFrweE19q","tifHPKVTfV","14qkJME0vr","23Mk6UjR3U","12rbrZMWeM","AHs5Up7iyr","EBcxylXtPf","2DDjHMKMc0","tmPS8pqC7x"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3419","layer":4},{"info":"number node, value=6918","layer":4},{"info":"compute binary expreesion, left_input=3419, right_input=6918, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=31714","layer":3},{"info":"number node, value=3362","layer":4},{"info":"compute unary expreesion, input=3362, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-10165","layer":3},{"info":"compute binary expreesion, left_input=31714, right_input=-10165, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-41879","layer":2},{"info":"number node, value=3596","layer":4},{"info":"number node, value=1621","layer":4},{"info":"compute binary expreesion, left_input=3596, right_input=1621, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=5284","layer":3},{"info":"number node, value=4140","layer":4},{"info":"number node, value=1555","layer":4},{"info":"compute binary expreesion, left_input=4140, right_input=1555, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=5284, 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=-41879, right_input=nan, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":1},{"info":"number node, value=2646","layer":4},{"info":"number node, value=7167","layer":4},{"info":"compute binary expreesion, left_input=2646, right_input=7167, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2646","layer":3},{"info":"number node, value=3366","layer":4},{"info":"number node, value=1155","layer":4},{"info":"compute binary expreesion, left_input=3366, right_input=1155, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=3366","layer":3},{"info":"compute binary expreesion, left_input=2646, right_input=3366, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍1730⫡⨏⪎⋱⫍31C2)⇼⇔∾(⪎⋱⫍16B8⊦⊿)⫡⨏(⪎⋱⫍1838⋳⪒⪎⋱⫍979⋷⪎⋱⫍1B66≹⇙⪍⪎⋱⫍928))⇷((⪎⋱⫍1287⋝⋈⪟⪎⋱⫍3354)≹⇙⪍(⪎⋱⫍16BC⨪↰⇹⪎⋱⫍6AB)⫌⩹⨱)=NaN","reverse_text":"NaN=((⪎⋱⫍1730⫡⨏⪎⋱⫍31C2)⇼⇔∾(⪎⋱⫍16B8⊦⊿)⫡⨏(⪎⋱⫍1838⋳⪒⪎⋱⫍979⋷⪎⋱⫍1B66≹⇙⪍⪎⋱⫍928))⇷((⪎⋱⫍1287⋝⋈⪟⪎⋱⫍3354)≹⇙⪍(⪎⋱⫍16BC⨪↰⇹⪎⋱⫍6AB)⫌⩹⨱)","cot":[{"info":"⪎⋱⫍1730⫡⨏⪎⋱⫍31C2=⪎⋱⫍11587","layer":3},{"info":"⪎⋱⫍16B8⊦⊿=⪎⋱⫍-481C","layer":3},{"info":"⪎⋱⫍11587⇼⇔∾⪎⋱⫍-481C=⪎⋱⫍-160A6","layer":2},{"info":"⪎⋱⫍1838⋳⪒⪎⋱⫍979=⪎⋱⫍2536","layer":3},{"info":"⪎⋱⫍1B66≹⇙⪍⪎⋱⫍928=NaN","layer":3},{"info":"⪎⋱⫍2536⋷NaN=NaN","layer":2},{"info":"⪎⋱⫍-160A6⫡⨏NaN=NaN","layer":1},{"info":"⪎⋱⫍1287⋝⋈⪟⪎⋱⫍3354=⪎⋱⫍1287","layer":3},{"info":"⪎⋱⫍16BC⨪↰⇹⪎⋱⫍6AB=⪎⋱⫍16BC","layer":3},{"info":"⪎⋱⫍1287≹⇙⪍⪎⋱⫍16BC=NaN","layer":2},{"info":"NaN⫌⩹⨱=NaN","layer":1},{"info":"NaN⇷NaN=NaN","layer":0}]}
{"id":180,"expression_no_base_symbol":"((↽≂$6879$)⋥≓≎(⨞⊢$4237$)⫡⨏($1042$⪨≂$1177$)⋳⪒($8050$⊪))↙((∥⊫$6028$)≣⋋)⨐⩸⫘($1187$⨳⩥⨓$3388$)⇷($4115$⪄$1033$)","expression":"((↽≂⪎⋱⫍3192)⋥≓≎(⨞⊢⪎⋱⫍1C0C)⫡⨏(⪎⋱⫍622⪨≂⪎⋱⫍6C7)⋳⪒(⪎⋱⫍3883⊪))↙((∥⊫⪎⋱⫍2989)≣⋋)⨐⩸⫘(⪎⋱⫍704⨳⩥⨓⪎⋱⫍1708)⇷(⪎⋱⫍1B47⪄⪎⋱⫍616)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":31499,"operation_count":14,"complexity_ratio":2249.9285714285716,"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":6879,"base":13}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":4237,"base":13}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1042,"base":13},"right_expr":{"type":"numeric_atoms","value":1177,"base":13}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":8050,"base":13}}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":6028,"base":13}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1187,"base":13},"right_expr":{"type":"numeric_atoms","value":3388,"base":13}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":4115,"base":13},"right_expr":{"type":"numeric_atoms","value":1033,"base":13}}}}},"used_operators":["yyfyN0ffXY","QMFrweE19q","Qy55tPpLXF","u6S6b8DprG","xUOZtlo3hN","12rbrZMWeM","sdazOOVcIp","zVYPLywUTj","fu6greOZ01","Tcnh7f0tEr","P8v4zCKN1o","mp7IySMOzn","nCS4ZIUYfx","SUmda5xLS4"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","3ViojmjbAp","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"⪎⋱⫍-9B","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=6879","layer":4},{"info":"compute unary expreesion, input=6879, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-13758","layer":3},{"info":"number node, value=4237","layer":4},{"info":"compute unary expreesion, input=4237, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-4411","layer":3},{"info":"compute binary expreesion, left_input=-13758, right_input=-4411, 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=1042","layer":4},{"info":"number node, value=1177","layer":4},{"info":"compute binary expreesion, left_input=1042, right_input=1177, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-168","layer":3},{"info":"number node, value=8050","layer":4},{"info":"compute unary expreesion, input=8050, 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=-168, right_input=0, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-623","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=-623, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=-128","layer":1},{"info":"number node, value=6028","layer":4},{"info":"compute unary expreesion, input=6028, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=6896","layer":3},{"info":"compute unary expreesion, input=6896, 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=1187","layer":4},{"info":"number node, value=3388","layer":4},{"info":"compute binary expreesion, left_input=1187, right_input=3388, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=2201","layer":3},{"info":"number node, value=4115","layer":4},{"info":"number node, value=1033","layer":4},{"info":"compute binary expreesion, left_input=4115, right_input=1033, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-609241","layer":3},{"info":"compute binary expreesion, left_input=2201, right_input=-609241, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=-128, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-128","layer":0}],"base":13,"result_base":13,"text":"((↽≂⪎⋱⫍3192)⋥≓≎(⨞⊢⪎⋱⫍1C0C)⫡⨏(⪎⋱⫍622⪨≂⪎⋱⫍6C7)⋳⪒(⪎⋱⫍3883⊪))↙((∥⊫⪎⋱⫍2989)≣⋋)⨐⩸⫘(⪎⋱⫍704⨳⩥⨓⪎⋱⫍1708)⇷(⪎⋱⫍1B47⪄⪎⋱⫍616)=⪎⋱⫍-9B","reverse_text":"⪎⋱⫍-9B=((↽≂⪎⋱⫍3192)⋥≓≎(⨞⊢⪎⋱⫍1C0C)⫡⨏(⪎⋱⫍622⪨≂⪎⋱⫍6C7)⋳⪒(⪎⋱⫍3883⊪))↙((∥⊫⪎⋱⫍2989)≣⋋)⨐⩸⫘(⪎⋱⫍704⨳⩥⨓⪎⋱⫍1708)⇷(⪎⋱⫍1B47⪄⪎⋱⫍616)","cot":[{"info":"↽≂⪎⋱⫍3192=⪎⋱⫍-6354","layer":3},{"info":"⨞⊢⪎⋱⫍1C0C=⪎⋱⫍-2014","layer":3},{"info":"⪎⋱⫍-6354⋥≓≎⪎⋱⫍-2014=⪎⋱⫍52","layer":2},{"info":"⪎⋱⫍622⪨≂⪎⋱⫍6C7=⪎⋱⫍-CC","layer":3},{"info":"⪎⋱⫍3883⊪=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍-CC⋳⪒⪎⋱⫍0=⪎⋱⫍-38C","layer":2},{"info":"⪎⋱⫍52⫡⨏⪎⋱⫍-38C=⪎⋱⫍-9B","layer":1},{"info":"∥⊫⪎⋱⫍2989=⪎⋱⫍31A6","layer":3},{"info":"⪎⋱⫍31A6≣⋋=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍704⨳⩥⨓⪎⋱⫍1708=⪎⋱⫍1004","layer":3},{"info":"⪎⋱⫍1B47⪄⪎⋱⫍616=⪎⋱⫍-1843C9","layer":3},{"info":"⪎⋱⫍1004⇷⪎⋱⫍-1843C9=NaN","layer":2},{"info":"⪎⋱⫍0⨐⩸⫘NaN=NaN","layer":1},{"info":"⪎⋱⫍-9B↙NaN=⪎⋱⫍-9B","layer":0}]}
{"id":181,"expression_no_base_symbol":"(⪲⇎(↩$1666$)+⇶⊼($2000$⫥∨⫟$1530$))⊉≛↸($1001$⋷$2101$)⨓($1945$⨸⪁$2017$)≎⊠⪸((⨞⊢$2671$)⋷($4881$⋷$3564$))","expression":"(⪲⇎(↩⪎⋱⫍9B2)+⇶⊼(⪎⋱⫍BAB⫥∨⫟⪎⋱⫍909))⊉≛↸(⪎⋱⫍5C0⋷⪎⋱⫍C58)⨓(⪎⋱⫍B68⨸⪁⪎⋱⫍BC2)≎⊠⪸((⨞⊢⪎⋱⫍12A6)⋷(⪎⋱⫍22B6⋷⪎⋱⫍1812))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":8389,"operation_count":12,"complexity_ratio":699.0833333333334,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":1666,"base":13}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2000,"base":13},"right_expr":{"type":"numeric_atoms","value":1530,"base":13}}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1001,"base":13},"right_expr":{"type":"numeric_atoms","value":2101,"base":13}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1945,"base":13},"right_expr":{"type":"numeric_atoms","value":2017,"base":13}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":2671,"base":13}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":4881,"base":13},"right_expr":{"type":"numeric_atoms","value":3564,"base":13}}}}},"used_operators":["DZ8iAZOCBD","XPYlsWDdGa","TpPTUOHfaN","jLgFTUHLKL","KYD54nUTWz","bJkvcejdHO","3ViojmjbAp","23Mk6UjR3U","g55IO6H4Gj","xUOZtlo3hN"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","8HhzD0ZcuI","rGHVDoGpnC","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1666","layer":4},{"info":"compute unary expreesion, input=1666, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-10548","layer":3},{"info":"number node, value=2000","layer":4},{"info":"number node, value=1530","layer":4},{"info":"compute binary expreesion, left_input=2000, right_input=1530, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-10548, right_input=nan, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=nan","layer":1},{"info":"number node, value=1001","layer":4},{"info":"number node, value=2101","layer":4},{"info":"compute binary expreesion, left_input=1001, right_input=2101, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=3201","layer":3},{"info":"number node, value=1945","layer":4},{"info":"number node, value=2017","layer":4},{"info":"compute binary expreesion, left_input=1945, right_input=2017, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=7924","layer":3},{"info":"compute binary expreesion, left_input=3201, right_input=7924, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-7927","layer":2},{"info":"number node, value=2671","layer":4},{"info":"compute unary expreesion, input=2671, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-2845","layer":3},{"info":"number node, value=4881","layer":4},{"info":"number node, value=3564","layer":4},{"info":"compute binary expreesion, left_input=4881, right_input=3564, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=2247","layer":3},{"info":"compute binary expreesion, left_input=-2845, right_input=2247, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=5690","layer":2},{"info":"compute binary expreesion, left_input=-7927, right_input=5690, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=2053093","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2053093, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪲⇎(↩⪎⋱⫍9B2)+⇶⊼(⪎⋱⫍BAB⫥∨⫟⪎⋱⫍909))⊉≛↸(⪎⋱⫍5C0⋷⪎⋱⫍C58)⨓(⪎⋱⫍B68⨸⪁⪎⋱⫍BC2)≎⊠⪸((⨞⊢⪎⋱⫍12A6)⋷(⪎⋱⫍22B6⋷⪎⋱⫍1812))=NaN","reverse_text":"NaN=(⪲⇎(↩⪎⋱⫍9B2)+⇶⊼(⪎⋱⫍BAB⫥∨⫟⪎⋱⫍909))⊉≛↸(⪎⋱⫍5C0⋷⪎⋱⫍C58)⨓(⪎⋱⫍B68⨸⪁⪎⋱⫍BC2)≎⊠⪸((⨞⊢⪎⋱⫍12A6)⋷(⪎⋱⫍22B6⋷⪎⋱⫍1812))","cot":[{"info":"↩⪎⋱⫍9B2=⪎⋱⫍-4A55","layer":3},{"info":"⪎⋱⫍BAB⫥∨⫟⪎⋱⫍909=NaN","layer":3},{"info":"⪎⋱⫍-4A55+⇶⊼NaN=NaN","layer":2},{"info":"⪲⇎NaN=NaN","layer":1},{"info":"⪎⋱⫍5C0⋷⪎⋱⫍C58=⪎⋱⫍15C3","layer":3},{"info":"⪎⋱⫍B68⨸⪁⪎⋱⫍BC2=⪎⋱⫍37B7","layer":3},{"info":"⪎⋱⫍15C3⨓⪎⋱⫍37B7=⪎⋱⫍-37BA","layer":2},{"info":"⨞⊢⪎⋱⫍12A6=⪎⋱⫍-13AB","layer":3},{"info":"⪎⋱⫍22B6⋷⪎⋱⫍1812=⪎⋱⫍103B","layer":3},{"info":"⪎⋱⫍-13AB⋷⪎⋱⫍103B=⪎⋱⫍2789","layer":2},{"info":"⪎⋱⫍-37BA≎⊠⪸⪎⋱⫍2789=⪎⋱⫍56B663","layer":1},{"info":"NaN⊉≛↸⪎⋱⫍56B663=NaN","layer":0}]}
{"id":182,"expression_no_base_symbol":"(⨞⊢$4571$⋓$3348$⋝⋈⪟(∥⊫$1016$))∑⇟⊟(((⊥$1713$)+$2231$⇷$1382$)∸)","expression":"(⨞⊢⪎⋱⫍2108⋓⪎⋱⫍16A7⋝⋈⪟(∥⊫⪎⋱⫍602))∑⇟⊟(((⊥⪎⋱⫍A1A)+⪎⋱⫍1028⇷⪎⋱⫍824)∸)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":62827,"operation_count":9,"complexity_ratio":6980.777777777777,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":4571,"base":13},"right_expr":{"type":"numeric_atoms","value":3348,"base":13}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":1016,"base":13}}}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":1713,"base":13}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2231,"base":13},"right_expr":{"type":"numeric_atoms","value":1382,"base":13}}}}},"used_operators":["U7g4x0WXJJ","xUOZtlo3hN","2DDjHMKMc0","T2fj7uvVaJ","P8v4zCKN1o","o20kRiQErp","W4YGzv6Whe","Q3PJZHRvZv","mp7IySMOzn"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","fu6greOZ01","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4571","layer":4},{"info":"number node, value=3348","layer":4},{"info":"compute binary expreesion, left_input=4571, right_input=3348, op_id = T2fj7uvVaJ binary_op_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=1016","layer":4},{"info":"compute unary expreesion, input=1016, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=1884","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1884, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-174","layer":1},{"info":"number node, value=1713","layer":4},{"info":"compute unary expreesion, input=1713, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=2231","layer":4},{"info":"number node, value=1382","layer":4},{"info":"compute binary expreesion, left_input=2231, right_input=1382, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2764","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2764, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":1},{"info":"compute binary expreesion, left_input=-174, right_input=177, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⨞⊢⪎⋱⫍2108⋓⪎⋱⫍16A7⋝⋈⪟(∥⊫⪎⋱⫍602))∑⇟⊟(((⊥⪎⋱⫍A1A)+⪎⋱⫍1028⇷⪎⋱⫍824)∸)=NaN","reverse_text":"NaN=(⨞⊢⪎⋱⫍2108⋓⪎⋱⫍16A7⋝⋈⪟(∥⊫⪎⋱⫍602))∑⇟⊟(((⊥⪎⋱⫍A1A)+⪎⋱⫍1028⇷⪎⋱⫍824)∸)","cot":[{"info":"⪎⋱⫍2108⋓⪎⋱⫍16A7=⪎⋱⫍0","layer":3},{"info":"∥⊫⪎⋱⫍602=⪎⋱⫍B1C","layer":3},{"info":"⪎⋱⫍0⋝⋈⪟⪎⋱⫍B1C=⪎⋱⫍0","layer":2},{"info":"⨞⊢⪎⋱⫍0=⪎⋱⫍-105","layer":1},{"info":"⊥⪎⋱⫍A1A=NaN","layer":3},{"info":"⪎⋱⫍1028⇷⪎⋱⫍824=⪎⋱⫍1348","layer":3},{"info":"NaN+⪎⋱⫍1348=NaN","layer":2},{"info":"NaN∸=⪎⋱⫍108","layer":1},{"info":"⪎⋱⫍-105∑⇟⊟⪎⋱⫍108=NaN","layer":0}]}
{"id":183,"expression_no_base_symbol":"($3242$∀⇚≩$4114$≣⋋)≭($6563$≹⇙⪍$4732$≎⊠⪸$5659$⪛$2045$)*(($5235$-$3151$)⨐⩸⫘($1035$⊘))⩚⊴⇥(↔$4191$)⊴(⨑⩽⪐$3358$)","expression":"(⪎⋱⫍1625∀⇚≩⪎⋱⫍1B46≣⋋)≭(⪎⋱⫍2CAB≹⇙⪍⪎⋱⫍2200≎⊠⪸⪎⋱⫍2764⪛⪎⋱⫍C14)*((⪎⋱⫍24C9-⪎⋱⫍1585)⨐⩸⫘(⪎⋱⫍618⊘))⩚⊴⇥(↔⪎⋱⫍1BA5)⊴(⨑⩽⪐⪎⋱⫍16B4)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":27180,"operation_count":14,"complexity_ratio":1941.4285714285713,"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":3242,"base":13},"right_expr":{"type":"numeric_atoms","value":4114,"base":13}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":6563,"base":13},"right_expr":{"type":"numeric_atoms","value":4732,"base":13}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":5659,"base":13},"right_expr":{"type":"numeric_atoms","value":2045,"base":13}}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":5235,"base":13},"right_expr":{"type":"numeric_atoms","value":3151,"base":13}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":1035,"base":13}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":4191,"base":13}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":3358,"base":13}}}}},"used_operators":["9HNa5Wba9A","rxpJgHHUmx","Tcnh7f0tEr","LRNGc0VcxI","bJkvcejdHO","AHs5Up7iyr","uFcxV4UQCh","NTOWxs364D","fu6greOZ01","rysDP5nf3Z","gu96TGCTMs","Nsiff2A1zJ","ruOEQAzv1W","AF7qkfDlqP"],"dependent_operators":["W4YGzv6Whe","AHs5Up7iyr","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","X99M06cbEe","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","dWAJyo7jo9","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","3ViojmjbAp","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","dWAJyo7jo9","14qkJME0vr","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3242","layer":4},{"info":"number node, value=4114","layer":4},{"info":"compute binary expreesion, left_input=3242, right_input=4114, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=nan","layer":2},{"info":"number node, value=6563","layer":4},{"info":"number node, value=4732","layer":4},{"info":"compute binary expreesion, left_input=6563, right_input=4732, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=5659","layer":4},{"info":"number node, value=2045","layer":4},{"info":"compute binary expreesion, left_input=5659, right_input=2045, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1569","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1569, 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 = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=5235","layer":4},{"info":"number node, value=3151","layer":4},{"info":"compute binary expreesion, left_input=5235, right_input=3151, op_id = rysDP5nf3Z binary_op_definition= 'None', output=2084","layer":3},{"info":"number node, value=1035","layer":4},{"info":"compute unary expreesion, input=1035, 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=2084, 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=2084","layer":2},{"info":"number node, value=4191","layer":4},{"info":"compute unary expreesion, input=4191, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-3918","layer":3},{"info":"number node, value=3358","layer":4},{"info":"compute unary expreesion, input=3358, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-3085","layer":3},{"info":"compute binary expreesion, left_input=-3918, right_input=-3085, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=2084, 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 = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍1625∀⇚≩⪎⋱⫍1B46≣⋋)≭(⪎⋱⫍2CAB≹⇙⪍⪎⋱⫍2200≎⊠⪸⪎⋱⫍2764⪛⪎⋱⫍C14)*((⪎⋱⫍24C9-⪎⋱⫍1585)⨐⩸⫘(⪎⋱⫍618⊘))⩚⊴⇥(↔⪎⋱⫍1BA5)⊴(⨑⩽⪐⪎⋱⫍16B4)=NaN","reverse_text":"NaN=(⪎⋱⫍1625∀⇚≩⪎⋱⫍1B46≣⋋)≭(⪎⋱⫍2CAB≹⇙⪍⪎⋱⫍2200≎⊠⪸⪎⋱⫍2764⪛⪎⋱⫍C14)*((⪎⋱⫍24C9-⪎⋱⫍1585)⨐⩸⫘(⪎⋱⫍618⊘))⩚⊴⇥(↔⪎⋱⫍1BA5)⊴(⨑⩽⪐⪎⋱⫍16B4)","cot":[{"info":"⪎⋱⫍1625∀⇚≩⪎⋱⫍1B46=NaN","layer":3},{"info":"NaN≣⋋=NaN","layer":2},{"info":"⪎⋱⫍2CAB≹⇙⪍⪎⋱⫍2200=NaN","layer":3},{"info":"⪎⋱⫍2764⪛⪎⋱⫍C14=⪎⋱⫍939","layer":3},{"info":"NaN≎⊠⪸⪎⋱⫍939=NaN","layer":2},{"info":"NaN≭NaN=NaN","layer":1},{"info":"⪎⋱⫍24C9-⪎⋱⫍1585=⪎⋱⫍C44","layer":3},{"info":"⪎⋱⫍618⊘=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍C44⨐⩸⫘⪎⋱⫍0=⪎⋱⫍C44","layer":2},{"info":"↔⪎⋱⫍1BA5=⪎⋱⫍-1A25","layer":3},{"info":"⨑⩽⪐⪎⋱⫍16B4=⪎⋱⫍-1534","layer":3},{"info":"⪎⋱⫍-1A25⊴⪎⋱⫍-1534=NaN","layer":2},{"info":"⪎⋱⫍C44⩚⊴⇥NaN=NaN","layer":1},{"info":"NaN*NaN=NaN","layer":0}]}
{"id":184,"expression_no_base_symbol":"(($2760$⩨$2408$+$4099$⊉≛↸$1138$)⋥≓≎($3164$%$2640$)+⇶⊼$3111$∀⇚≩$8906$)⋓(($2680$⇼⇔∾$2016$)⩤)∀⇚≩(($1896$⋫)⊘)","expression":"((⪎⋱⫍1344⩨⪎⋱⫍1133+⪎⋱⫍1B34⊉≛↸⪎⋱⫍697)⋥≓≎(⪎⋱⫍1595%⪎⋱⫍1281)+⇶⊼⪎⋱⫍1554∀⇚≩⪎⋱⫍4091)⋓((⪎⋱⫍12B2⇼⇔∾⪎⋱⫍BC1)⩤)∀⇚≩((⪎⋱⫍B2B⋫)⊘)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":28369,"operation_count":13,"complexity_ratio":2182.230769230769,"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":2760,"base":13},"right_expr":{"type":"numeric_atoms","value":2408,"base":13}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":4099,"base":13},"right_expr":{"type":"numeric_atoms","value":1138,"base":13}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":3164,"base":13},"right_expr":{"type":"numeric_atoms","value":2640,"base":13}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":3111,"base":13},"right_expr":{"type":"numeric_atoms","value":8906,"base":13}}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2680,"base":13},"right_expr":{"type":"numeric_atoms","value":2016,"base":13}}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":1896,"base":13}}}}},"used_operators":["T2fj7uvVaJ","Qy55tPpLXF","W4YGzv6Whe","2DlMacCsIx","DZ8iAZOCBD","TpPTUOHfaN","k8jYdgA6NY","LRNGc0VcxI","Z2TMIBDE3Q","tifHPKVTfV","gu96TGCTMs","JL8yIekQnl"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","rysDP5nf3Z","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","tmPS8pqC7x"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2760","layer":4},{"info":"number node, value=2408","layer":4},{"info":"compute binary expreesion, left_input=2760, right_input=2408, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=4099","layer":4},{"info":"number node, value=1138","layer":4},{"info":"compute binary expreesion, left_input=4099, right_input=1138, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=8198","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=8198, op_id = W4YGzv6Whe binary_op_definition= 'None', output=8198","layer":2},{"info":"number node, value=3164","layer":4},{"info":"number node, value=2640","layer":4},{"info":"compute binary expreesion, left_input=3164, right_input=2640, op_id = k8jYdgA6NY binary_op_definition= 'None', output=524","layer":3},{"info":"number node, value=3111","layer":4},{"info":"number node, value=8906","layer":4},{"info":"compute binary expreesion, left_input=3111, right_input=8906, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=524, 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=8198, 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=2680","layer":4},{"info":"number node, value=2016","layer":4},{"info":"compute binary expreesion, left_input=2680, right_input=2016, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-664","layer":3},{"info":"compute unary expreesion, input=-664, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=664","layer":2},{"info":"number node, value=1896","layer":4},{"info":"compute unary expreesion, input=1896, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=1896","layer":3},{"info":"compute unary expreesion, input=1896, 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=664, right_input=0, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍1344⩨⪎⋱⫍1133+⪎⋱⫍1B34⊉≛↸⪎⋱⫍697)⋥≓≎(⪎⋱⫍1595%⪎⋱⫍1281)+⇶⊼⪎⋱⫍1554∀⇚≩⪎⋱⫍4091)⋓((⪎⋱⫍12B2⇼⇔∾⪎⋱⫍BC1)⩤)∀⇚≩((⪎⋱⫍B2B⋫)⊘)=NaN","reverse_text":"NaN=((⪎⋱⫍1344⩨⪎⋱⫍1133+⪎⋱⫍1B34⊉≛↸⪎⋱⫍697)⋥≓≎(⪎⋱⫍1595%⪎⋱⫍1281)+⇶⊼⪎⋱⫍1554∀⇚≩⪎⋱⫍4091)⋓((⪎⋱⫍12B2⇼⇔∾⪎⋱⫍BC1)⩤)∀⇚≩((⪎⋱⫍B2B⋫)⊘)","cot":[{"info":"⪎⋱⫍1344⩨⪎⋱⫍1133=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍1B34⊉≛↸⪎⋱⫍697=⪎⋱⫍3968","layer":3},{"info":"⪎⋱⫍0+⪎⋱⫍3968=⪎⋱⫍3968","layer":2},{"info":"⪎⋱⫍1595%⪎⋱⫍1281=⪎⋱⫍314","layer":3},{"info":"⪎⋱⫍1554∀⇚≩⪎⋱⫍4091=NaN","layer":3},{"info":"⪎⋱⫍314+⇶⊼NaN=NaN","layer":2},{"info":"⪎⋱⫍3968⋥≓≎NaN=NaN","layer":1},{"info":"⪎⋱⫍12B2⇼⇔∾⪎⋱⫍BC1=⪎⋱⫍-3C1","layer":3},{"info":"⪎⋱⫍-3C1⩤=⪎⋱⫍3C1","layer":2},{"info":"⪎⋱⫍B2B⋫=⪎⋱⫍B2B","layer":3},{"info":"⪎⋱⫍B2B⊘=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍3C1∀⇚≩⪎⋱⫍0=NaN","layer":1},{"info":"NaN⋓NaN=NaN","layer":0}]}
{"id":185,"expression_no_base_symbol":"$2860$∀⇚≩$3315$↙$5871$⪘⫢$1823$⋷(⪲⇎(⨰⫟⨤$1141$))⫡⨏(≉($4482$⋷$1914$)⇷($4988$⊭↱$2455$))","expression":"⪎⋱⫍13C0∀⇚≩⪎⋱⫍1680↙⪎⋱⫍2898⪘⫢⪎⋱⫍AA3⋷(⪲⇎(⨰⫟⨤⪎⋱⫍69A))⫡⨏(≉(⪎⋱⫍206A⋷⪎⋱⫍B43)⇷(⪎⋱⫍2369⊭↱⪎⋱⫍116B))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":32945,"operation_count":11,"complexity_ratio":2995.0,"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":2860,"base":13},"right_expr":{"type":"numeric_atoms","value":3315,"base":13}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":5871,"base":13},"right_expr":{"type":"numeric_atoms","value":1823,"base":13}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":1141,"base":13}}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":4482,"base":13},"right_expr":{"type":"numeric_atoms","value":1914,"base":13}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":4988,"base":13},"right_expr":{"type":"numeric_atoms","value":2455,"base":13}}}}},"used_operators":["QMFrweE19q","23Mk6UjR3U","yyfyN0ffXY","LRNGc0VcxI","oacrs7FA3X","XPYlsWDdGa","Tw270M8GLb","e1ybzncUwg","mp7IySMOzn","COABgblf1C"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","X99M06cbEe","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2860","layer":4},{"info":"number node, value=3315","layer":4},{"info":"compute binary expreesion, left_input=2860, right_input=3315, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=5871","layer":4},{"info":"number node, value=1823","layer":4},{"info":"compute binary expreesion, left_input=5871, right_input=1823, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=11618","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=11618, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":2},{"info":"number node, value=1141","layer":4},{"info":"compute unary expreesion, input=1141, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":1},{"info":"number node, value=4482","layer":4},{"info":"number node, value=1914","layer":4},{"info":"compute binary expreesion, left_input=4482, right_input=1914, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-654","layer":3},{"info":"number node, value=4988","layer":4},{"info":"number node, value=2455","layer":4},{"info":"compute binary expreesion, left_input=4988, right_input=2455, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-5061","layer":3},{"info":"compute binary expreesion, left_input=-654, right_input=-5061, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((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 = 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":13,"result_base":13,"text":"⪎⋱⫍13C0∀⇚≩⪎⋱⫍1680↙⪎⋱⫍2898⪘⫢⪎⋱⫍AA3⋷(⪲⇎(⨰⫟⨤⪎⋱⫍69A))⫡⨏(≉(⪎⋱⫍206A⋷⪎⋱⫍B43)⇷(⪎⋱⫍2369⊭↱⪎⋱⫍116B))=NaN","reverse_text":"NaN=⪎⋱⫍13C0∀⇚≩⪎⋱⫍1680↙⪎⋱⫍2898⪘⫢⪎⋱⫍AA3⋷(⪲⇎(⨰⫟⨤⪎⋱⫍69A))⫡⨏(≉(⪎⋱⫍206A⋷⪎⋱⫍B43)⇷(⪎⋱⫍2369⊭↱⪎⋱⫍116B))","cot":[{"info":"⪎⋱⫍13C0∀⇚≩⪎⋱⫍1680=NaN","layer":3},{"info":"⪎⋱⫍2898⪘⫢⪎⋱⫍AA3=⪎⋱⫍5399","layer":3},{"info":"NaN↙⪎⋱⫍5399=NaN","layer":2},{"info":"⨰⫟⨤⪎⋱⫍69A=NaN","layer":3},{"info":"⪲⇎NaN=NaN","layer":2},{"info":"NaN⋷NaN=NaN","layer":1},{"info":"⪎⋱⫍206A⋷⪎⋱⫍B43=⪎⋱⫍-3B4","layer":3},{"info":"⪎⋱⫍2369⊭↱⪎⋱⫍116B=⪎⋱⫍-23C4","layer":3},{"info":"⪎⋱⫍-3B4⇷⪎⋱⫍-23C4=NaN","layer":2},{"info":"≉NaN=NaN","layer":1},{"info":"NaN⫡⨏NaN=NaN","layer":0}]}
{"id":186,"expression_no_base_symbol":"((∂$3530$)⋝⋈⪟($2539$⋓$2893$))⪘⫢($6489$⋥≓≎$1930$∲⫓$6435$⨎$6660$)↙(⫛⫱⨽($2077$*$7722$))⨐⩸⫘(≤/$6004$⨽$4720$)","expression":"((∂⪎⋱⫍17B7)⋝⋈⪟(⪎⋱⫍1204⋓⪎⋱⫍1417))⪘⫢(⪎⋱⫍2C52⋥≓≎⪎⋱⫍B56∲⫓⪎⋱⫍2C10⨎⪎⋱⫍3054)↙(⫛⫱⨽(⪎⋱⫍C3A*⪎⋱⫍3690))⨐⩸⫘(≤/⪎⋱⫍296B⨽⪎⋱⫍21C1)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":9548,"operation_count":13,"complexity_ratio":734.4615384615385,"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":3530,"base":13}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2539,"base":13},"right_expr":{"type":"numeric_atoms","value":2893,"base":13}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":6489,"base":13},"right_expr":{"type":"numeric_atoms","value":1930,"base":13}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":6435,"base":13},"right_expr":{"type":"numeric_atoms","value":6660,"base":13}}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2077,"base":13},"right_expr":{"type":"numeric_atoms","value":7722,"base":13}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":6004,"base":13},"right_expr":{"type":"numeric_atoms","value":4720,"base":13}}}}},"used_operators":["yyfyN0ffXY","oacrs7FA3X","2DDjHMKMc0","Uaa54Peajs","T2fj7uvVaJ","i8ToyICDmI","Qy55tPpLXF","rJVOvQCfKK","fu6greOZ01","DlLNRPXxWL","9HNa5Wba9A","eLAdDNolq6","8HhzD0ZcuI"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","3ViojmjbAp","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3530","layer":4},{"info":"compute unary expreesion, input=3530, 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=2539","layer":4},{"info":"number node, value=2893","layer":4},{"info":"compute binary expreesion, left_input=2539, right_input=2893, op_id = T2fj7uvVaJ binary_op_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 = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":2},{"info":"number node, value=6489","layer":4},{"info":"number node, value=1930","layer":4},{"info":"compute binary expreesion, left_input=6489, right_input=1930, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-2596","layer":3},{"info":"number node, value=6435","layer":4},{"info":"number node, value=6660","layer":4},{"info":"compute binary expreesion, left_input=6435, right_input=6660, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=6660","layer":3},{"info":"compute binary expreesion, left_input=-2596, right_input=6660, 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 = 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=2077","layer":4},{"info":"number node, value=7722","layer":4},{"info":"compute binary expreesion, left_input=2077, right_input=7722, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=16038594","layer":3},{"info":"compute unary expreesion, input=16038594, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=nan","layer":2},{"info":"number node, value=6004","layer":4},{"info":"number node, value=4720","layer":4},{"info":"compute binary expreesion, left_input=6004, right_input=4720, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-108156894","layer":3},{"info":"compute unary expreesion, input=-108156894, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=108157378","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=108157378, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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 = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((∂⪎⋱⫍17B7)⋝⋈⪟(⪎⋱⫍1204⋓⪎⋱⫍1417))⪘⫢(⪎⋱⫍2C52⋥≓≎⪎⋱⫍B56∲⫓⪎⋱⫍2C10⨎⪎⋱⫍3054)↙(⫛⫱⨽(⪎⋱⫍C3A*⪎⋱⫍3690))⨐⩸⫘(≤/⪎⋱⫍296B⨽⪎⋱⫍21C1)=NaN","reverse_text":"NaN=((∂⪎⋱⫍17B7)⋝⋈⪟(⪎⋱⫍1204⋓⪎⋱⫍1417))⪘⫢(⪎⋱⫍2C52⋥≓≎⪎⋱⫍B56∲⫓⪎⋱⫍2C10⨎⪎⋱⫍3054)↙(⫛⫱⨽(⪎⋱⫍C3A*⪎⋱⫍3690))⨐⩸⫘(≤/⪎⋱⫍296B⨽⪎⋱⫍21C1)","cot":[{"info":"∂⪎⋱⫍17B7=NaN","layer":3},{"info":"⪎⋱⫍1204⋓⪎⋱⫍1417=⪎⋱⫍0","layer":3},{"info":"NaN⋝⋈⪟⪎⋱⫍0=NaN","layer":2},{"info":"⪎⋱⫍2C52⋥≓≎⪎⋱⫍B56=⪎⋱⫍-1249","layer":3},{"info":"⪎⋱⫍2C10⨎⪎⋱⫍3054=⪎⋱⫍3054","layer":3},{"info":"⪎⋱⫍-1249∲⫓⪎⋱⫍3054=⪎⋱⫍0","layer":2},{"info":"NaN⪘⫢⪎⋱⫍0=NaN","layer":1},{"info":"⪎⋱⫍C3A*⪎⋱⫍3690=⪎⋱⫍34272C0","layer":3},{"info":"⫛⫱⨽⪎⋱⫍34272C0=NaN","layer":2},{"info":"⪎⋱⫍296B⨽⪎⋱⫍21C1=⪎⋱⫍-1953B481","layer":3},{"info":"≤/⪎⋱⫍-1953B481=⪎⋱⫍1953B764","layer":2},{"info":"NaN⨐⩸⫘⪎⋱⫍1953B764=NaN","layer":1},{"info":"NaN↙NaN=NaN","layer":0}]}
{"id":187,"expression_no_base_symbol":"($1557$≹⇙⪍$4813$⨁⊸⫻)⨎($3363$⨳⩥⨓$4898$↺$2555$⨎$1305$)⋳⪒((↩(⫛⫱⨽$3728$))-(≦∁$4188$⨸⪁$1519$))","expression":"(⪎⋱⫍92A≹⇙⪍⪎⋱⫍2263⨁⊸⫻)⨎(⪎⋱⫍16B9⨳⩥⨓⪎⋱⫍22CA↺⪎⋱⫍1217⨎⪎⋱⫍795)⋳⪒((↩(⫛⫱⨽⪎⋱⫍190A))-(≦∁⪎⋱⫍1BA2⨸⪁⪎⋱⫍8CB))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1462,"operation_count":12,"complexity_ratio":121.83333333333333,"tree":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1557,"base":13},"right_expr":{"type":"numeric_atoms","value":4813,"base":13}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":3363,"base":13},"right_expr":{"type":"numeric_atoms","value":4898,"base":13}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2555,"base":13},"right_expr":{"type":"numeric_atoms","value":1305,"base":13}}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":3728,"base":13}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":4188,"base":13},"right_expr":{"type":"numeric_atoms","value":1519,"base":13}}}}},"used_operators":["12rbrZMWeM","rJVOvQCfKK","glklzrTFfD","AHs5Up7iyr","7j4O788W3g","nCS4ZIUYfx","rysDP5nf3Z","jLgFTUHLKL","DlLNRPXxWL","9ICcGScMcE","g55IO6H4Gj"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rGHVDoGpnC","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe"],"result":"⪎⋱⫍4081","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1557","layer":4},{"info":"number node, value=4813","layer":4},{"info":"compute binary expreesion, left_input=1557, right_input=4813, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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 = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=nan","layer":2},{"info":"number node, value=3363","layer":4},{"info":"number node, value=4898","layer":4},{"info":"compute binary expreesion, left_input=3363, right_input=4898, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=1535","layer":3},{"info":"number node, value=2555","layer":4},{"info":"number node, value=1305","layer":4},{"info":"compute binary expreesion, left_input=2555, right_input=1305, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1305","layer":3},{"info":"compute binary expreesion, left_input=1535, right_input=1305, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1305","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1305, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1305","layer":1},{"info":"number node, value=3728","layer":4},{"info":"compute unary expreesion, input=3728, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', 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":"number node, value=4188","layer":4},{"info":"number node, value=1519","layer":4},{"info":"compute binary expreesion, left_input=4188, right_input=1519, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=11414","layer":3},{"info":"compute unary expreesion, input=11414, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=11414","layer":2},{"info":"compute binary expreesion, left_input=4844, right_input=11414, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-6570","layer":1},{"info":"compute binary expreesion, left_input=1305, right_input=-6570, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=8893","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍92A≹⇙⪍⪎⋱⫍2263⨁⊸⫻)⨎(⪎⋱⫍16B9⨳⩥⨓⪎⋱⫍22CA↺⪎⋱⫍1217⨎⪎⋱⫍795)⋳⪒((↩(⫛⫱⨽⪎⋱⫍190A))-(≦∁⪎⋱⫍1BA2⨸⪁⪎⋱⫍8CB))=⪎⋱⫍4081","reverse_text":"⪎⋱⫍4081=(⪎⋱⫍92A≹⇙⪍⪎⋱⫍2263⨁⊸⫻)⨎(⪎⋱⫍16B9⨳⩥⨓⪎⋱⫍22CA↺⪎⋱⫍1217⨎⪎⋱⫍795)⋳⪒((↩(⫛⫱⨽⪎⋱⫍190A))-(≦∁⪎⋱⫍1BA2⨸⪁⪎⋱⫍8CB))","cot":[{"info":"⪎⋱⫍92A≹⇙⪍⪎⋱⫍2263=NaN","layer":3},{"info":"NaN⨁⊸⫻=NaN","layer":2},{"info":"⪎⋱⫍16B9⨳⩥⨓⪎⋱⫍22CA=⪎⋱⫍911","layer":3},{"info":"⪎⋱⫍1217⨎⪎⋱⫍795=⪎⋱⫍795","layer":3},{"info":"⪎⋱⫍911↺⪎⋱⫍795=⪎⋱⫍795","layer":2},{"info":"NaN⨎⪎⋱⫍795=⪎⋱⫍795","layer":1},{"info":"⫛⫱⨽⪎⋱⫍190A=⪎⋱⫍0","layer":3},{"info":"↩⪎⋱⫍0=⪎⋱⫍2288","layer":2},{"info":"⪎⋱⫍1BA2⨸⪁⪎⋱⫍8CB=⪎⋱⫍5270","layer":3},{"info":"≦∁⪎⋱⫍5270=⪎⋱⫍5270","layer":2},{"info":"⪎⋱⫍2288-⪎⋱⫍5270=⪎⋱⫍-2CB5","layer":1},{"info":"⪎⋱⫍795⋳⪒⪎⋱⫍-2CB5=⪎⋱⫍4081","layer":0}]}
{"id":188,"expression_no_base_symbol":"⋗⩬⋾((↣≠⋷($2467$↛⩡⫤))⨳⩥⨓($2286$⊴$1758$%(∥⊫$3151$)))","expression":"⋗⩬⋾((↣≠⋷(⪎⋱⫍117A↛⩡⫤))⨳⩥⨓(⪎⋱⫍106B⊴⪎⋱⫍A53%(∥⊫⪎⋱⫍1585)))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":9802,"operation_count":7,"complexity_ratio":1400.2857142857142,"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":2467,"base":13}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2286,"base":13},"right_expr":{"type":"numeric_atoms","value":1758,"base":13}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":3151,"base":13}}}}},"used_operators":["DpFCA1CohY","nCS4ZIUYfx","Asc51vEJeQ","FU0Cs4j7VP","k8jYdgA6NY","Nsiff2A1zJ","P8v4zCKN1o"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","XhwjNDsVaA","AHs5Up7iyr","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","rysDP5nf3Z","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2467","layer":4},{"info":"compute unary expreesion, input=2467, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-368606","layer":3},{"info":"compute unary expreesion, input=-368606, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"number node, value=2286","layer":4},{"info":"number node, value=1758","layer":4},{"info":"compute binary expreesion, left_input=2286, right_input=1758, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=3151","layer":4},{"info":"compute unary expreesion, input=3151, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=4019","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4019, op_id = k8jYdgA6NY binary_op_definition= 'None', 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 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":13,"result_base":13,"text":"⋗⩬⋾((↣≠⋷(⪎⋱⫍117A↛⩡⫤))⨳⩥⨓(⪎⋱⫍106B⊴⪎⋱⫍A53%(∥⊫⪎⋱⫍1585)))=NaN","reverse_text":"NaN=⋗⩬⋾((↣≠⋷(⪎⋱⫍117A↛⩡⫤))⨳⩥⨓(⪎⋱⫍106B⊴⪎⋱⫍A53%(∥⊫⪎⋱⫍1585)))","cot":[{"info":"⪎⋱⫍117A↛⩡⫤=⪎⋱⫍-CBA14","layer":3},{"info":"↣≠⋷⪎⋱⫍-CBA14=NaN","layer":2},{"info":"⪎⋱⫍106B⊴⪎⋱⫍A53=NaN","layer":3},{"info":"∥⊫⪎⋱⫍1585=⪎⋱⫍1AA2","layer":3},{"info":"NaN%⪎⋱⫍1AA2=NaN","layer":2},{"info":"NaN⨳⩥⨓NaN=NaN","layer":1},{"info":"⋗⩬⋾NaN=NaN","layer":0}]}
{"id":189,"expression_no_base_symbol":"($4028$⇷$3171$⨸⪁$1294$≹⇙⪍$2462$⨵⪆($1648$⫡⨏$2148$⪨≂$4706$⇼⇔∾$3332$))⋝⋈⪟(((↣≠⋷$6361$)⨐⩸⫘$1977$⪘⫢$2492$)⋓($1399$*$2856$)⇷($1870$⋳⪒$4284$))","expression":"(⪎⋱⫍1AAB⇷⪎⋱⫍159C⨸⪁⪎⋱⫍787≹⇙⪍⪎⋱⫍1175⨵⪆(⪎⋱⫍99A⫡⨏⪎⋱⫍C93⪨≂⪎⋱⫍21B0⇼⇔∾⪎⋱⫍1694))⋝⋈⪟(((↣≠⋷⪎⋱⫍2B84)⨐⩸⫘⪎⋱⫍B91⪘⫢⪎⋱⫍1199)⋓(⪎⋱⫍838*⪎⋱⫍13B9)⇷(⪎⋱⫍B0B⋳⪒⪎⋱⫍1C47))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":57867,"operation_count":15,"complexity_ratio":3857.8,"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":4028,"base":13},"right_expr":{"type":"numeric_atoms","value":3171,"base":13}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1294,"base":13},"right_expr":{"type":"numeric_atoms","value":2462,"base":13}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1648,"base":13},"right_expr":{"type":"numeric_atoms","value":2148,"base":13}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":4706,"base":13},"right_expr":{"type":"numeric_atoms","value":3332,"base":13}}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":6361,"base":13}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1977,"base":13},"right_expr":{"type":"numeric_atoms","value":2492,"base":13}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1399,"base":13},"right_expr":{"type":"numeric_atoms","value":2856,"base":13}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1870,"base":13},"right_expr":{"type":"numeric_atoms","value":4284,"base":13}}}}},"used_operators":["2DDjHMKMc0","2DQ55sFlQl","g55IO6H4Gj","mp7IySMOzn","AHs5Up7iyr","sdazOOVcIp","QMFrweE19q","tifHPKVTfV","T2fj7uvVaJ","fu6greOZ01","Asc51vEJeQ","oacrs7FA3X","9HNa5Wba9A","12rbrZMWeM"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","3ViojmjbAp","XhwjNDsVaA","AHs5Up7iyr","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4028","layer":4},{"info":"number node, value=3171","layer":4},{"info":"compute binary expreesion, left_input=4028, right_input=3171, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=6342","layer":3},{"info":"number node, value=1294","layer":4},{"info":"number node, value=2462","layer":4},{"info":"compute binary expreesion, left_input=1294, right_input=2462, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=6342, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":2},{"info":"number node, value=1648","layer":4},{"info":"number node, value=2148","layer":4},{"info":"compute binary expreesion, left_input=1648, right_input=2148, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=13319","layer":3},{"info":"number node, value=4706","layer":4},{"info":"number node, value=3332","layer":4},{"info":"compute binary expreesion, left_input=4706, right_input=3332, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-1374","layer":3},{"info":"compute binary expreesion, left_input=13319, right_input=-1374, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=29488","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=29488, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=6361","layer":4},{"info":"compute unary expreesion, input=6361, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=1977","layer":4},{"info":"number node, value=2492","layer":4},{"info":"compute binary expreesion, left_input=1977, right_input=2492, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=3830","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3830, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=1399","layer":4},{"info":"number node, value=2856","layer":4},{"info":"compute binary expreesion, left_input=1399, right_input=2856, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=3995544","layer":3},{"info":"number node, value=1870","layer":4},{"info":"number node, value=4284","layer":4},{"info":"compute binary expreesion, left_input=1870, right_input=4284, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-831","layer":3},{"info":"compute binary expreesion, left_input=3995544, right_input=-831, 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 = T2fj7uvVaJ 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=160, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍1AAB⇷⪎⋱⫍159C⨸⪁⪎⋱⫍787≹⇙⪍⪎⋱⫍1175⨵⪆(⪎⋱⫍99A⫡⨏⪎⋱⫍C93⪨≂⪎⋱⫍21B0⇼⇔∾⪎⋱⫍1694))⋝⋈⪟(((↣≠⋷⪎⋱⫍2B84)⨐⩸⫘⪎⋱⫍B91⪘⫢⪎⋱⫍1199)⋓(⪎⋱⫍838*⪎⋱⫍13B9)⇷(⪎⋱⫍B0B⋳⪒⪎⋱⫍1C47))=NaN","reverse_text":"NaN=(⪎⋱⫍1AAB⇷⪎⋱⫍159C⨸⪁⪎⋱⫍787≹⇙⪍⪎⋱⫍1175⨵⪆(⪎⋱⫍99A⫡⨏⪎⋱⫍C93⪨≂⪎⋱⫍21B0⇼⇔∾⪎⋱⫍1694))⋝⋈⪟(((↣≠⋷⪎⋱⫍2B84)⨐⩸⫘⪎⋱⫍B91⪘⫢⪎⋱⫍1199)⋓(⪎⋱⫍838*⪎⋱⫍13B9)⇷(⪎⋱⫍B0B⋳⪒⪎⋱⫍1C47))","cot":[{"info":"⪎⋱⫍1AAB⇷⪎⋱⫍159C=⪎⋱⫍2B6B","layer":3},{"info":"⪎⋱⫍787≹⇙⪍⪎⋱⫍1175=NaN","layer":3},{"info":"⪎⋱⫍2B6B⨸⪁NaN=NaN","layer":2},{"info":"⪎⋱⫍99A⫡⨏⪎⋱⫍C93=⪎⋱⫍60A7","layer":3},{"info":"⪎⋱⫍21B0⇼⇔∾⪎⋱⫍1694=⪎⋱⫍-819","layer":3},{"info":"⪎⋱⫍60A7⪨≂⪎⋱⫍-819=⪎⋱⫍10564","layer":2},{"info":"NaN⨵⪆⪎⋱⫍10564=⪎⋱⫍C4","layer":1},{"info":"↣≠⋷⪎⋱⫍2B84=NaN","layer":3},{"info":"⪎⋱⫍B91⪘⫢⪎⋱⫍1199=⪎⋱⫍1988","layer":3},{"info":"NaN⨐⩸⫘⪎⋱⫍1988=NaN","layer":2},{"info":"⪎⋱⫍838*⪎⋱⫍13B9=⪎⋱⫍A9B837","layer":3},{"info":"⪎⋱⫍B0B⋳⪒⪎⋱⫍1C47=⪎⋱⫍-4BC","layer":3},{"info":"⪎⋱⫍A9B837⇷⪎⋱⫍-4BC=NaN","layer":2},{"info":"NaN⋓NaN=NaN","layer":1},{"info":"⪎⋱⫍C4⋝⋈⪟NaN=NaN","layer":0}]}
{"id":190,"expression_no_base_symbol":"(↔($1677$⨐⩸⫘$4384$))∀⇚≩(↯⪼($3023$⨐⩸⫘$1938$))⋳⪒(↩(⫛⫱⨽$5485$)⨽$3716$⪮%⊝$2038$)","expression":"(↔(⪎⋱⫍9C0⨐⩸⫘⪎⋱⫍1CC3))∀⇚≩(↯⪼(⪎⋱⫍14B7⨐⩸⫘⪎⋱⫍B61))⋳⪒(↩(⫛⫱⨽⪎⋱⫍265C)⨽⪎⋱⫍18CB⪮%⊝⪎⋱⫍C0A)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2461,"operation_count":10,"complexity_ratio":246.1,"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":1677,"base":13},"right_expr":{"type":"numeric_atoms","value":4384,"base":13}}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":3023,"base":13},"right_expr":{"type":"numeric_atoms","value":1938,"base":13}}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":5485,"base":13}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":3716,"base":13},"right_expr":{"type":"numeric_atoms","value":2038,"base":13}}}}},"used_operators":["12rbrZMWeM","LRNGc0VcxI","ruOEQAzv1W","fu6greOZ01","8jW3W4yZS5","jLgFTUHLKL","8HhzD0ZcuI","DlLNRPXxWL","IWmyXbctLI"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","3ViojmjbAp","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rGHVDoGpnC","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1677","layer":4},{"info":"number node, value=4384","layer":4},{"info":"compute binary expreesion, left_input=1677, right_input=4384, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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":"number node, value=3023","layer":4},{"info":"number node, value=1938","layer":4},{"info":"compute binary expreesion, left_input=3023, right_input=1938, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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 = 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=-134, 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":"number node, value=5485","layer":4},{"info":"compute unary expreesion, input=5485, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=3716","layer":4},{"info":"number node, value=2038","layer":4},{"info":"compute binary expreesion, left_input=3716, right_input=2038, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=7748","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=7748, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-21930","layer":2},{"info":"compute unary expreesion, input=-21930, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=90340","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=90340, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(↔(⪎⋱⫍9C0⨐⩸⫘⪎⋱⫍1CC3))∀⇚≩(↯⪼(⪎⋱⫍14B7⨐⩸⫘⪎⋱⫍B61))⋳⪒(↩(⫛⫱⨽⪎⋱⫍265C)⨽⪎⋱⫍18CB⪮%⊝⪎⋱⫍C0A)=NaN","reverse_text":"NaN=(↔(⪎⋱⫍9C0⨐⩸⫘⪎⋱⫍1CC3))∀⇚≩(↯⪼(⪎⋱⫍14B7⨐⩸⫘⪎⋱⫍B61))⋳⪒(↩(⫛⫱⨽⪎⋱⫍265C)⨽⪎⋱⫍18CB⪮%⊝⪎⋱⫍C0A)","cot":[{"info":"⪎⋱⫍9C0⨐⩸⫘⪎⋱⫍1CC3=NaN","layer":3},{"info":"↔NaN=⪎⋱⫍-A4","layer":2},{"info":"⪎⋱⫍14B7⨐⩸⫘⪎⋱⫍B61=NaN","layer":3},{"info":"↯⪼NaN=⪎⋱⫍-18","layer":2},{"info":"⪎⋱⫍-A4∀⇚≩⪎⋱⫍-18=NaN","layer":1},{"info":"⫛⫱⨽⪎⋱⫍265C=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍18CB⪮%⊝⪎⋱⫍C0A=⪎⋱⫍36B0","layer":3},{"info":"⪎⋱⫍0⨽⪎⋱⫍36B0=⪎⋱⫍-9C9C","layer":2},{"info":"↩⪎⋱⫍-9C9C=⪎⋱⫍32173","layer":1},{"info":"NaN⋳⪒⪎⋱⫍32173=NaN","layer":0}]}
{"id":191,"expression_no_base_symbol":"($4743$⊭↱$3549$+($2131$⩤))⋳⪒($1360$⪮%⊝$5717$⋳⪒(≉$1924$))-(($6517$⊠≄⫣)⊉≛↸($1581$⇼⇔∾$4179$)⫡⨏($1769$⋝⋈⪟$1115$)⪢(↩$5689$))","expression":"(⪎⋱⫍220B⊭↱⪎⋱⫍1800+(⪎⋱⫍C7C⩤))⋳⪒(⪎⋱⫍808⪮%⊝⪎⋱⫍27AA⋳⪒(≉⪎⋱⫍B50))-((⪎⋱⫍2C74⊠≄⫣)⊉≛↸(⪎⋱⫍948⇼⇔∾⪎⋱⫍1B96)⫡⨏(⪎⋱⫍A61⋝⋈⪟⪎⋱⫍67A)⪢(↩⪎⋱⫍2788))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":42799,"operation_count":15,"complexity_ratio":2853.266666666667,"tree":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":4743,"base":13},"right_expr":{"type":"numeric_atoms","value":3549,"base":13}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":2131,"base":13}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1360,"base":13},"right_expr":{"type":"numeric_atoms","value":5717,"base":13}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1924,"base":13}}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":6517,"base":13}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1581,"base":13},"right_expr":{"type":"numeric_atoms","value":4179,"base":13}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1769,"base":13},"right_expr":{"type":"numeric_atoms","value":1115,"base":13}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":5689,"base":13}}}}},"used_operators":["rysDP5nf3Z","12rbrZMWeM","W4YGzv6Whe","COABgblf1C","Z2TMIBDE3Q","IWmyXbctLI","e1ybzncUwg","QMFrweE19q","DZ8iAZOCBD","DIvbN7qnHd","tifHPKVTfV","dWAJyo7jo9","2DDjHMKMc0","jLgFTUHLKL"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4743","layer":4},{"info":"number node, value=3549","layer":4},{"info":"compute binary expreesion, left_input=4743, right_input=3549, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-2383","layer":3},{"info":"number node, value=2131","layer":4},{"info":"compute unary expreesion, input=2131, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-2131","layer":3},{"info":"compute binary expreesion, left_input=-2383, right_input=-2131, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-4514","layer":2},{"info":"number node, value=1360","layer":4},{"info":"number node, value=5717","layer":4},{"info":"compute binary expreesion, left_input=1360, right_input=5717, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3036","layer":3},{"info":"number node, value=1924","layer":4},{"info":"compute unary expreesion, input=1924, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=2455","layer":3},{"info":"compute binary expreesion, left_input=3036, right_input=2455, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=3330","layer":2},{"info":"compute binary expreesion, left_input=-4514, right_input=3330, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-12645","layer":1},{"info":"number node, value=6517","layer":4},{"info":"compute unary expreesion, input=6517, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"number node, value=1581","layer":4},{"info":"number node, value=4179","layer":4},{"info":"compute binary expreesion, left_input=1581, right_input=4179, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=2598","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2598, 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=1769","layer":4},{"info":"number node, value=1115","layer":4},{"info":"compute binary expreesion, left_input=1769, right_input=1115, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1769","layer":3},{"info":"number node, value=5689","layer":4},{"info":"compute unary expreesion, input=5689, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-42732","layer":3},{"info":"compute binary expreesion, left_input=1769, right_input=-42732, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = 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=-12645, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍220B⊭↱⪎⋱⫍1800+(⪎⋱⫍C7C⩤))⋳⪒(⪎⋱⫍808⪮%⊝⪎⋱⫍27AA⋳⪒(≉⪎⋱⫍B50))-((⪎⋱⫍2C74⊠≄⫣)⊉≛↸(⪎⋱⫍948⇼⇔∾⪎⋱⫍1B96)⫡⨏(⪎⋱⫍A61⋝⋈⪟⪎⋱⫍67A)⪢(↩⪎⋱⫍2788))=NaN","reverse_text":"NaN=(⪎⋱⫍220B⊭↱⪎⋱⫍1800+(⪎⋱⫍C7C⩤))⋳⪒(⪎⋱⫍808⪮%⊝⪎⋱⫍27AA⋳⪒(≉⪎⋱⫍B50))-((⪎⋱⫍2C74⊠≄⫣)⊉≛↸(⪎⋱⫍948⇼⇔∾⪎⋱⫍1B96)⫡⨏(⪎⋱⫍A61⋝⋈⪟⪎⋱⫍67A)⪢(↩⪎⋱⫍2788))","cot":[{"info":"⪎⋱⫍220B⊭↱⪎⋱⫍1800=⪎⋱⫍-1114","layer":3},{"info":"⪎⋱⫍C7C⩤=⪎⋱⫍-C7C","layer":3},{"info":"⪎⋱⫍-1114+⪎⋱⫍-C7C=⪎⋱⫍-2093","layer":2},{"info":"⪎⋱⫍808⪮%⊝⪎⋱⫍27AA=⪎⋱⫍14C7","layer":3},{"info":"≉⪎⋱⫍B50=⪎⋱⫍116B","layer":3},{"info":"⪎⋱⫍14C7⋳⪒⪎⋱⫍116B=⪎⋱⫍1692","layer":2},{"info":"⪎⋱⫍-2093⋳⪒⪎⋱⫍1692=⪎⋱⫍-59A9","layer":1},{"info":"⪎⋱⫍2C74⊠≄⫣=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍948⇼⇔∾⪎⋱⫍1B96=⪎⋱⫍124B","layer":3},{"info":"⪎⋱⫍0⊉≛↸⪎⋱⫍124B=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍A61⋝⋈⪟⪎⋱⫍67A=⪎⋱⫍A61","layer":3},{"info":"↩⪎⋱⫍2788=⪎⋱⫍-165B1","layer":3},{"info":"⪎⋱⫍A61⪢⪎⋱⫍-165B1=NaN","layer":2},{"info":"⪎⋱⫍0⫡⨏NaN=NaN","layer":1},{"info":"⪎⋱⫍-59A9-NaN=NaN","layer":0}]}
{"id":192,"expression_no_base_symbol":"(⨵≀≌$7453$)⪢($2780$⊦⊿)+⇶⊼(≤/(↥$4536$))⨽((-$4642$∼$1030$)↺($2299$⊉≛↸$2776$)⇷($3373$⨎$1047$))","expression":"(⨵≀≌⪎⋱⫍3514)⪢(⪎⋱⫍135B⊦⊿)+⇶⊼(≤/(↥⪎⋱⫍20AC))⨽((-⪎⋱⫍2161∼⪎⋱⫍613)↺(⪎⋱⫍107B⊉≛↸⪎⋱⫍1357)⇷(⪎⋱⫍16C6⨎⪎⋱⫍627))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":87418,"operation_count":13,"complexity_ratio":6724.461538461538,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":7453,"base":13}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":2780,"base":13}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":4536,"base":13}}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":4642,"base":13},"right_expr":{"type":"numeric_atoms","value":1030,"base":13}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2299,"base":13},"right_expr":{"type":"numeric_atoms","value":2776,"base":13}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":3373,"base":13},"right_expr":{"type":"numeric_atoms","value":1047,"base":13}}}}},"used_operators":["8HhzD0ZcuI","TpPTUOHfaN","dWAJyo7jo9","srAu1WTS94","14qkJME0vr","eLAdDNolq6","A8NUZmVepG","7j4O788W3g","t8gj7n24qd","DyGG3AbaNP","mp7IySMOzn","DZ8iAZOCBD","rJVOvQCfKK"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","AHs5Up7iyr","k8jYdgA6NY","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=7453","layer":4},{"info":"compute unary expreesion, input=7453, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-22359","layer":3},{"info":"number node, value=2780","layer":4},{"info":"compute unary expreesion, input=2780, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-8419","layer":3},{"info":"compute binary expreesion, left_input=-22359, right_input=-8419, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=4536","layer":4},{"info":"compute unary expreesion, input=4536, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=48","layer":3},{"info":"compute unary expreesion, input=48, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=436","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=436, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=4642","layer":4},{"info":"number node, value=1030","layer":4},{"info":"compute binary expreesion, left_input=4642, right_input=1030, 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 = t8gj7n24qd, unary_op_definition = 'None', output=nan","layer":2},{"info":"number node, value=2299","layer":4},{"info":"number node, value=2776","layer":4},{"info":"compute binary expreesion, left_input=2299, right_input=2776, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=4598","layer":3},{"info":"number node, value=3373","layer":4},{"info":"number node, value=1047","layer":4},{"info":"compute binary expreesion, left_input=3373, right_input=1047, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1047","layer":3},{"info":"compute binary expreesion, left_input=4598, right_input=1047, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2094","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=2094, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2094","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2094, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⨵≀≌⪎⋱⫍3514)⪢(⪎⋱⫍135B⊦⊿)+⇶⊼(≤/(↥⪎⋱⫍20AC))⨽((-⪎⋱⫍2161∼⪎⋱⫍613)↺(⪎⋱⫍107B⊉≛↸⪎⋱⫍1357)⇷(⪎⋱⫍16C6⨎⪎⋱⫍627))=NaN","reverse_text":"NaN=(⨵≀≌⪎⋱⫍3514)⪢(⪎⋱⫍135B⊦⊿)+⇶⊼(≤/(↥⪎⋱⫍20AC))⨽((-⪎⋱⫍2161∼⪎⋱⫍613)↺(⪎⋱⫍107B⊉≛↸⪎⋱⫍1357)⇷(⪎⋱⫍16C6⨎⪎⋱⫍627))","cot":[{"info":"⨵≀≌⪎⋱⫍3514=⪎⋱⫍-A23C","layer":3},{"info":"⪎⋱⫍135B⊦⊿=⪎⋱⫍-3AA8","layer":3},{"info":"⪎⋱⫍-A23C⪢⪎⋱⫍-3AA8=NaN","layer":2},{"info":"↥⪎⋱⫍20AC=⪎⋱⫍39","layer":3},{"info":"≤/⪎⋱⫍39=⪎⋱⫍277","layer":2},{"info":"NaN+⇶⊼⪎⋱⫍277=NaN","layer":1},{"info":"⪎⋱⫍2161∼⪎⋱⫍613=NaN","layer":3},{"info":"-NaN=NaN","layer":2},{"info":"⪎⋱⫍107B⊉≛↸⪎⋱⫍1357=⪎⋱⫍2129","layer":3},{"info":"⪎⋱⫍16C6⨎⪎⋱⫍627=⪎⋱⫍627","layer":3},{"info":"⪎⋱⫍2129⇷⪎⋱⫍627=⪎⋱⫍C51","layer":2},{"info":"NaN↺⪎⋱⫍C51=⪎⋱⫍C51","layer":1},{"info":"NaN⨽⪎⋱⫍C51=NaN","layer":0}]}
{"id":193,"expression_no_base_symbol":"(($1176$⋓$4070$⫡⨏$2900$⪘⫢$1589$)⋓($3080$∲⫓$2572$)⪢$5156$≹⇙⪍$6948$)∼((($3685$*$3540$)∑⇟⊟($4787$+⇶⊼$1042$))⪘⫢((⫓⪴$5465$)+⇶⊼($3438$≎⊠⪸$5872$)))","expression":"((⪎⋱⫍6C6⋓⪎⋱⫍1B11⫡⨏⪎⋱⫍1421⪘⫢⪎⋱⫍953)⋓(⪎⋱⫍152C∲⫓⪎⋱⫍122B)⪢⪎⋱⫍2468≹⇙⪍⪎⋱⫍3216)∼(((⪎⋱⫍18A6*⪎⋱⫍17C4)∑⇟⊟(⪎⋱⫍2243+⇶⊼⪎⋱⫍622))⪘⫢((⫓⪴⪎⋱⫍2645)+⇶⊼(⪎⋱⫍1746≎⊠⪸⪎⋱⫍2899)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":9342,"operation_count":15,"complexity_ratio":622.8,"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":1176,"base":13},"right_expr":{"type":"numeric_atoms","value":4070,"base":13}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2900,"base":13},"right_expr":{"type":"numeric_atoms","value":1589,"base":13}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":3080,"base":13},"right_expr":{"type":"numeric_atoms","value":2572,"base":13}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":5156,"base":13},"right_expr":{"type":"numeric_atoms","value":6948,"base":13}}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":3685,"base":13},"right_expr":{"type":"numeric_atoms","value":3540,"base":13}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":4787,"base":13},"right_expr":{"type":"numeric_atoms","value":1042,"base":13}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":5465,"base":13}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":3438,"base":13},"right_expr":{"type":"numeric_atoms","value":5872,"base":13}}}}},"used_operators":["DyGG3AbaNP","T2fj7uvVaJ","QMFrweE19q","oacrs7FA3X","dWAJyo7jo9","i8ToyICDmI","AHs5Up7iyr","U7g4x0WXJJ","9HNa5Wba9A","TpPTUOHfaN","eLxqMNBOBk","bJkvcejdHO"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","AHs5Up7iyr","9HNa5Wba9A","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1176","layer":4},{"info":"number node, value=4070","layer":4},{"info":"compute binary expreesion, left_input=1176, right_input=4070, op_id = T2fj7uvVaJ binary_op_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=2900","layer":4},{"info":"number node, value=1589","layer":4},{"info":"compute binary expreesion, left_input=2900, right_input=1589, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=5676","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=5676, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=12135","layer":2},{"info":"number node, value=3080","layer":4},{"info":"number node, value=2572","layer":4},{"info":"compute binary expreesion, left_input=3080, right_input=2572, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=5156","layer":4},{"info":"number node, value=6948","layer":4},{"info":"compute binary expreesion, left_input=5156, right_input=6948, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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 = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=12135, 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=3685","layer":4},{"info":"number node, value=3540","layer":4},{"info":"compute binary expreesion, left_input=3685, right_input=3540, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=13044900","layer":3},{"info":"number node, value=4787","layer":4},{"info":"number node, value=1042","layer":4},{"info":"compute binary expreesion, left_input=4787, right_input=1042, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=13044900, 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=5465","layer":4},{"info":"compute unary expreesion, input=5465, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=29866225","layer":3},{"info":"number node, value=3438","layer":4},{"info":"number node, value=5872","layer":4},{"info":"compute binary expreesion, left_input=3438, right_input=5872, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=889969","layer":3},{"info":"compute binary expreesion, left_input=29866225, right_input=889969, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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 = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍6C6⋓⪎⋱⫍1B11⫡⨏⪎⋱⫍1421⪘⫢⪎⋱⫍953)⋓(⪎⋱⫍152C∲⫓⪎⋱⫍122B)⪢⪎⋱⫍2468≹⇙⪍⪎⋱⫍3216)∼(((⪎⋱⫍18A6*⪎⋱⫍17C4)∑⇟⊟(⪎⋱⫍2243+⇶⊼⪎⋱⫍622))⪘⫢((⫓⪴⪎⋱⫍2645)+⇶⊼(⪎⋱⫍1746≎⊠⪸⪎⋱⫍2899)))=NaN","reverse_text":"NaN=((⪎⋱⫍6C6⋓⪎⋱⫍1B11⫡⨏⪎⋱⫍1421⪘⫢⪎⋱⫍953)⋓(⪎⋱⫍152C∲⫓⪎⋱⫍122B)⪢⪎⋱⫍2468≹⇙⪍⪎⋱⫍3216)∼(((⪎⋱⫍18A6*⪎⋱⫍17C4)∑⇟⊟(⪎⋱⫍2243+⇶⊼⪎⋱⫍622))⪘⫢((⫓⪴⪎⋱⫍2645)+⇶⊼(⪎⋱⫍1746≎⊠⪸⪎⋱⫍2899)))","cot":[{"info":"⪎⋱⫍6C6⋓⪎⋱⫍1B11=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍1421⪘⫢⪎⋱⫍953=⪎⋱⫍2778","layer":3},{"info":"⪎⋱⫍0⫡⨏⪎⋱⫍2778=⪎⋱⫍56A6","layer":2},{"info":"⪎⋱⫍152C∲⫓⪎⋱⫍122B=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍2468≹⇙⪍⪎⋱⫍3216=NaN","layer":3},{"info":"⪎⋱⫍0⪢NaN=NaN","layer":2},{"info":"⪎⋱⫍56A6⋓NaN=NaN","layer":1},{"info":"⪎⋱⫍18A6*⪎⋱⫍17C4=⪎⋱⫍291979B","layer":3},{"info":"⪎⋱⫍2243+⇶⊼⪎⋱⫍622=NaN","layer":3},{"info":"⪎⋱⫍291979B∑⇟⊟NaN=NaN","layer":2},{"info":"⫓⪴⪎⋱⫍2645=⪎⋱⫍625912C","layer":3},{"info":"⪎⋱⫍1746≎⊠⪸⪎⋱⫍2899=⪎⋱⫍252112","layer":3},{"info":"⪎⋱⫍625912C+⇶⊼⪎⋱⫍252112=NaN","layer":2},{"info":"NaN⪘⫢NaN=NaN","layer":1},{"info":"NaN∼NaN=NaN","layer":0}]}
{"id":194,"expression_no_base_symbol":"(($2391$⪮%⊝$1036$≋⫹)*(⊙↵-$3014$)⨽($1433$+$7301$))⊴((↽≂$2015$)↙(↔$5777$)⨸⪁($1269$≎⊠⪸$5105$⪨≂($1128$⊪)))","expression":"((⪎⋱⫍111C⪮%⊝⪎⋱⫍619≋⫹)*(⊙↵-⪎⋱⫍14AB)⨽(⪎⋱⫍863+⪎⋱⫍3428))⊴((↽≂⪎⋱⫍BC0)↙(↔⪎⋱⫍2825)⨸⪁(⪎⋱⫍768≎⊠⪸⪎⋱⫍2429⪨≂(⪎⋱⫍68A⊪)))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":13608,"operation_count":14,"complexity_ratio":972.0,"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":2391,"base":13},"right_expr":{"type":"numeric_atoms","value":1036,"base":13}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":3014,"base":13}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1433,"base":13},"right_expr":{"type":"numeric_atoms","value":7301,"base":13}}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":2015,"base":13}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":5777,"base":13}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1269,"base":13},"right_expr":{"type":"numeric_atoms","value":5105,"base":13}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":1128,"base":13}}}}},"used_operators":["Nsiff2A1zJ","9HNa5Wba9A","N41Kp7NANJ","IWmyXbctLI","8HhzD0ZcuI","oWn0xqSxBt","W4YGzv6Whe","g55IO6H4Gj","yyfyN0ffXY","u6S6b8DprG","ruOEQAzv1W","sdazOOVcIp","bJkvcejdHO","zVYPLywUTj"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2391","layer":4},{"info":"number node, value=1036","layer":4},{"info":"compute binary expreesion, left_input=2391, right_input=1036, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=5098","layer":3},{"info":"compute unary expreesion, input=5098, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-10196","layer":2},{"info":"number node, value=3014","layer":4},{"info":"compute unary expreesion, input=3014, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=1433","layer":4},{"info":"number node, value=7301","layer":4},{"info":"compute binary expreesion, left_input=1433, right_input=7301, op_id = W4YGzv6Whe binary_op_definition= 'None', output=8734","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=8734, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-24891","layer":2},{"info":"compute binary expreesion, left_input=-10196, right_input=-24891, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=253788636","layer":1},{"info":"number node, value=2015","layer":4},{"info":"compute unary expreesion, input=2015, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-4030","layer":3},{"info":"number node, value=5777","layer":4},{"info":"compute unary expreesion, input=5777, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-5504","layer":3},{"info":"compute binary expreesion, left_input=-4030, right_input=-5504, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-4030","layer":2},{"info":"number node, value=1269","layer":4},{"info":"number node, value=5105","layer":4},{"info":"compute binary expreesion, left_input=1269, right_input=5105, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=328198","layer":3},{"info":"number node, value=1128","layer":4},{"info":"compute unary expreesion, input=1128, 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=328198, 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=656498","layer":2},{"info":"compute binary expreesion, left_input=-4030, right_input=656498, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=1304936","layer":1},{"info":"compute binary expreesion, left_input=253788636, right_input=1304936, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍111C⪮%⊝⪎⋱⫍619≋⫹)*(⊙↵-⪎⋱⫍14AB)⨽(⪎⋱⫍863+⪎⋱⫍3428))⊴((↽≂⪎⋱⫍BC0)↙(↔⪎⋱⫍2825)⨸⪁(⪎⋱⫍768≎⊠⪸⪎⋱⫍2429⪨≂(⪎⋱⫍68A⊪)))=NaN","reverse_text":"NaN=((⪎⋱⫍111C⪮%⊝⪎⋱⫍619≋⫹)*(⊙↵-⪎⋱⫍14AB)⨽(⪎⋱⫍863+⪎⋱⫍3428))⊴((↽≂⪎⋱⫍BC0)↙(↔⪎⋱⫍2825)⨸⪁(⪎⋱⫍768≎⊠⪸⪎⋱⫍2429⪨≂(⪎⋱⫍68A⊪)))","cot":[{"info":"⪎⋱⫍111C⪮%⊝⪎⋱⫍619=⪎⋱⫍2422","layer":3},{"info":"⪎⋱⫍2422≋⫹=⪎⋱⫍-4844","layer":2},{"info":"⊙↵-⪎⋱⫍14AB=⪎⋱⫍-1","layer":3},{"info":"⪎⋱⫍863+⪎⋱⫍3428=⪎⋱⫍3C8B","layer":3},{"info":"⪎⋱⫍-1⨽⪎⋱⫍3C8B=⪎⋱⫍-B439","layer":2},{"info":"⪎⋱⫍-4844*⪎⋱⫍-B439=⪎⋱⫍4076ACBA","layer":1},{"info":"↽≂⪎⋱⫍BC0=⪎⋱⫍-1AB0","layer":3},{"info":"↔⪎⋱⫍2825=⪎⋱⫍-2675","layer":3},{"info":"⪎⋱⫍-1AB0↙⪎⋱⫍-2675=⪎⋱⫍-1AB0","layer":2},{"info":"⪎⋱⫍768≎⊠⪸⪎⋱⫍2429=⪎⋱⫍B6500","layer":3},{"info":"⪎⋱⫍68A⊪=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍B6500⪨≂⪎⋱⫍0=⪎⋱⫍19CA7B","layer":2},{"info":"⪎⋱⫍-1AB0⨸⪁⪎⋱⫍19CA7B=⪎⋱⫍368C69","layer":1},{"info":"⪎⋱⫍4076ACBA⊴⪎⋱⫍368C69=NaN","layer":0}]}
{"id":195,"expression_no_base_symbol":"(↔($6328$⋝⋈⪟$5810$))⨟⋌⩍((∥⊫$2333$)∧)⩚⊴⇥(($1897$+$2061$)∼($3831$⨐⩸⫘$5226$)⨳⩥⨓(↔$5207$)⇷(⨰⫟⨤$2161$))","expression":"(↔(⪎⋱⫍2B5A⋝⋈⪟⪎⋱⫍284C))⨟⋌⩍((∥⊫⪎⋱⫍10A6)∧)⩚⊴⇥((⪎⋱⫍B2C+⪎⋱⫍C27)∼(⪎⋱⫍1989⨐⩸⫘⪎⋱⫍24C0)⨳⩥⨓(↔⪎⋱⫍24A7)⇷(⨰⫟⨤⪎⋱⫍CA3))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":77001,"operation_count":13,"complexity_ratio":5923.153846153846,"tree":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":6328,"base":13},"right_expr":{"type":"numeric_atoms","value":5810,"base":13}}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":2333,"base":13}}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1897,"base":13},"right_expr":{"type":"numeric_atoms","value":2061,"base":13}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":3831,"base":13},"right_expr":{"type":"numeric_atoms","value":5226,"base":13}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":5207,"base":13}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":2161,"base":13}}}}},"used_operators":["NTOWxs364D","rGHVDoGpnC","ruOEQAzv1W","2DDjHMKMc0","z63VuFQld9","P8v4zCKN1o","nCS4ZIUYfx","DyGG3AbaNP","W4YGzv6Whe","fu6greOZ01","mp7IySMOzn","Tw270M8GLb"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","Tcnh7f0tEr","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","3ViojmjbAp","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=6328","layer":4},{"info":"number node, value=5810","layer":4},{"info":"compute binary expreesion, left_input=6328, right_input=5810, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=6328","layer":3},{"info":"compute unary expreesion, input=6328, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-6055","layer":2},{"info":"number node, value=2333","layer":4},{"info":"compute unary expreesion, input=2333, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=3201","layer":3},{"info":"compute unary expreesion, input=3201, 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=-6055, 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=1897","layer":4},{"info":"number node, value=2061","layer":4},{"info":"compute binary expreesion, left_input=1897, right_input=2061, op_id = W4YGzv6Whe binary_op_definition= 'None', output=3958","layer":3},{"info":"number node, value=3831","layer":4},{"info":"number node, value=5226","layer":4},{"info":"compute binary expreesion, left_input=3831, right_input=5226, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=3958, 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=5207","layer":4},{"info":"compute unary expreesion, input=5207, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-4934","layer":3},{"info":"number node, value=2161","layer":4},{"info":"compute unary expreesion, input=2161, 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=-4934, 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 = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(↔(⪎⋱⫍2B5A⋝⋈⪟⪎⋱⫍284C))⨟⋌⩍((∥⊫⪎⋱⫍10A6)∧)⩚⊴⇥((⪎⋱⫍B2C+⪎⋱⫍C27)∼(⪎⋱⫍1989⨐⩸⫘⪎⋱⫍24C0)⨳⩥⨓(↔⪎⋱⫍24A7)⇷(⨰⫟⨤⪎⋱⫍CA3))=NaN","reverse_text":"NaN=(↔(⪎⋱⫍2B5A⋝⋈⪟⪎⋱⫍284C))⨟⋌⩍((∥⊫⪎⋱⫍10A6)∧)⩚⊴⇥((⪎⋱⫍B2C+⪎⋱⫍C27)∼(⪎⋱⫍1989⨐⩸⫘⪎⋱⫍24C0)⨳⩥⨓(↔⪎⋱⫍24A7)⇷(⨰⫟⨤⪎⋱⫍CA3))","cot":[{"info":"⪎⋱⫍2B5A⋝⋈⪟⪎⋱⫍284C=⪎⋱⫍2B5A","layer":3},{"info":"↔⪎⋱⫍2B5A=⪎⋱⫍-29AA","layer":2},{"info":"∥⊫⪎⋱⫍10A6=⪎⋱⫍15C3","layer":3},{"info":"⪎⋱⫍15C3∧=NaN","layer":2},{"info":"⪎⋱⫍-29AA⨟⋌⩍NaN=NaN","layer":1},{"info":"⪎⋱⫍B2C+⪎⋱⫍C27=⪎⋱⫍1A56","layer":3},{"info":"⪎⋱⫍1989⨐⩸⫘⪎⋱⫍24C0=NaN","layer":3},{"info":"⪎⋱⫍1A56∼NaN=NaN","layer":2},{"info":"↔⪎⋱⫍24A7=⪎⋱⫍-2327","layer":3},{"info":"⨰⫟⨤⪎⋱⫍CA3=NaN","layer":3},{"info":"⪎⋱⫍-2327⇷NaN=NaN","layer":2},{"info":"NaN⨳⩥⨓NaN=NaN","layer":1},{"info":"NaN⩚⊴⇥NaN=NaN","layer":0}]}
{"id":196,"expression_no_base_symbol":"((≤/$4835$≧⫂∧$2482$)*($1161$⇋≉)≎⊠⪸($1649$⫩⊇))⫥∨⫟($4985$⊭↱$1897$⊭↱($7355$↛⩡⫤))⊴($2547$⨪↰⇹$3249$%($2136$⊦⊿))","expression":"((≤/⪎⋱⫍227C≧⫂∧⪎⋱⫍118C)*(⪎⋱⫍6B4⇋≉)≎⊠⪸(⪎⋱⫍99B⫩⊇))⫥∨⫟(⪎⋱⫍2366⊭↱⪎⋱⫍B2C⊭↱(⪎⋱⫍346A↛⩡⫤))⊴(⪎⋱⫍120C⨪↰⇹⪎⋱⫍162C%(⪎⋱⫍C84⊦⊿))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":306897,"operation_count":14,"complexity_ratio":21921.214285714286,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":4835,"base":13},"right_expr":{"type":"numeric_atoms","value":2482,"base":13}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":1161,"base":13}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":1649,"base":13}}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":4985,"base":13},"right_expr":{"type":"numeric_atoms","value":1897,"base":13}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":7355,"base":13}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2547,"base":13},"right_expr":{"type":"numeric_atoms","value":3249,"base":13}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":2136,"base":13}}}}},"used_operators":["KYD54nUTWz","9HNa5Wba9A","eLAdDNolq6","Ph9nP6C5qx","bJkvcejdHO","XIabStNQrY","BjRHVeLaeN","Nsiff2A1zJ","COABgblf1C","FU0Cs4j7VP","k8jYdgA6NY","tmPS8pqC7x","14qkJME0vr"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","rysDP5nf3Z","rJVOvQCfKK","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4835","layer":4},{"info":"number node, value=2482","layer":4},{"info":"compute binary expreesion, left_input=4835, right_input=2482, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2009","layer":3},{"info":"compute unary expreesion, input=2009, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1525","layer":2},{"info":"number node, value=1161","layer":4},{"info":"compute unary expreesion, input=1161, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=2224","layer":3},{"info":"number node, value=1649","layer":4},{"info":"compute unary expreesion, input=1649, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-1607","layer":3},{"info":"compute binary expreesion, left_input=2224, right_input=-1607, 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=-1525, right_input=67, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-102175","layer":1},{"info":"number node, value=4985","layer":4},{"info":"number node, value=1897","layer":4},{"info":"compute binary expreesion, left_input=4985, right_input=1897, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-6171","layer":3},{"info":"number node, value=7355","layer":4},{"info":"compute unary expreesion, input=7355, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-1106694","layer":3},{"info":"compute binary expreesion, left_input=-6171, right_input=-1106694, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-2201041","layer":2},{"info":"number node, value=2547","layer":4},{"info":"number node, value=3249","layer":4},{"info":"compute binary expreesion, left_input=2547, right_input=3249, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=2547","layer":3},{"info":"number node, value=2136","layer":4},{"info":"compute unary expreesion, input=2136, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-6487","layer":3},{"info":"compute binary expreesion, left_input=2547, right_input=-6487, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-3940","layer":2},{"info":"compute binary expreesion, left_input=-2201041, right_input=-3940, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-102175, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((≤/⪎⋱⫍227C≧⫂∧⪎⋱⫍118C)*(⪎⋱⫍6B4⇋≉)≎⊠⪸(⪎⋱⫍99B⫩⊇))⫥∨⫟(⪎⋱⫍2366⊭↱⪎⋱⫍B2C⊭↱(⪎⋱⫍346A↛⩡⫤))⊴(⪎⋱⫍120C⨪↰⇹⪎⋱⫍162C%(⪎⋱⫍C84⊦⊿))=NaN","reverse_text":"NaN=((≤/⪎⋱⫍227C≧⫂∧⪎⋱⫍118C)*(⪎⋱⫍6B4⇋≉)≎⊠⪸(⪎⋱⫍99B⫩⊇))⫥∨⫟(⪎⋱⫍2366⊭↱⪎⋱⫍B2C⊭↱(⪎⋱⫍346A↛⩡⫤))⊴(⪎⋱⫍120C⨪↰⇹⪎⋱⫍162C%(⪎⋱⫍C84⊦⊿))","cot":[{"info":"⪎⋱⫍227C≧⫂∧⪎⋱⫍118C=⪎⋱⫍BB7","layer":3},{"info":"≤/⪎⋱⫍BB7=⪎⋱⫍-904","layer":2},{"info":"⪎⋱⫍6B4⇋≉=⪎⋱⫍1021","layer":3},{"info":"⪎⋱⫍99B⫩⊇=⪎⋱⫍-968","layer":3},{"info":"⪎⋱⫍1021≎⊠⪸⪎⋱⫍-968=⪎⋱⫍52","layer":2},{"info":"⪎⋱⫍-904*⪎⋱⫍52=⪎⋱⫍-37678","layer":1},{"info":"⪎⋱⫍2366⊭↱⪎⋱⫍B2C=⪎⋱⫍-2A69","layer":3},{"info":"⪎⋱⫍346A↛⩡⫤=⪎⋱⫍-2C9964","layer":3},{"info":"⪎⋱⫍-2A69⊭↱⪎⋱⫍-2C9964=⪎⋱⫍-5C0ABB","layer":2},{"info":"⪎⋱⫍120C⨪↰⇹⪎⋱⫍162C=⪎⋱⫍120C","layer":3},{"info":"⪎⋱⫍C84⊦⊿=⪎⋱⫍-2C50","layer":3},{"info":"⪎⋱⫍120C%⪎⋱⫍-2C50=⪎⋱⫍-1A41","layer":2},{"info":"⪎⋱⫍-5C0ABB⊴⪎⋱⫍-1A41=NaN","layer":1},{"info":"⪎⋱⫍-37678⫥∨⫟NaN=NaN","layer":0}]}
{"id":197,"expression_no_base_symbol":"(↥($4448$⨐⩸⫘$6238$⪄($1900$≦≮≮)))⊘","expression":"(↥(⪎⋱⫍2042⨐⩸⫘⪎⋱⫍2ABB⪄(⪎⋱⫍B32≦≮≮)))⊘","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":125,"operation_count":5,"complexity_ratio":25.0,"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":4448,"base":13},"right_expr":{"type":"numeric_atoms","value":6238,"base":13}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":1900,"base":13}}}}},"used_operators":["gu96TGCTMs","A8NUZmVepG","SUmda5xLS4","fu6greOZ01","D4vGDi5EA2"],"dependent_operators":["XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","k8jYdgA6NY","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4448","layer":4},{"info":"number node, value=6238","layer":4},{"info":"compute binary expreesion, left_input=4448, right_input=6238, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=1900","layer":4},{"info":"compute unary expreesion, input=1900, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-5700","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-5700, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":2},{"info":"compute unary expreesion, input=3979, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=1","layer":1},{"info":"compute unary expreesion, input=1, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":0}],"base":13,"result_base":13,"text":"(↥(⪎⋱⫍2042⨐⩸⫘⪎⋱⫍2ABB⪄(⪎⋱⫍B32≦≮≮)))⊘=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=(↥(⪎⋱⫍2042⨐⩸⫘⪎⋱⫍2ABB⪄(⪎⋱⫍B32≦≮≮)))⊘","cot":[{"info":"⪎⋱⫍2042⨐⩸⫘⪎⋱⫍2ABB=NaN","layer":3},{"info":"⪎⋱⫍B32≦≮≮=⪎⋱⫍-2796","layer":3},{"info":"NaN⪄⪎⋱⫍-2796=⪎⋱⫍1A71","layer":2},{"info":"↥⪎⋱⫍1A71=⪎⋱⫍1","layer":1},{"info":"⪎⋱⫍1⊘=⪎⋱⫍0","layer":0}]}
{"id":198,"expression_no_base_symbol":"($1170$⨸⪁$1452$)⨪↰⇹($5605$≧⫂∧$5641$)⨽((↥$2502$)↪⪝)↺(↯⪼($2324$⇷$2908$-($5817$⫡⨏$1107$)))","expression":"(⪎⋱⫍6C0⨸⪁⪎⋱⫍879)⨪↰⇹(⪎⋱⫍2722≧⫂∧⪎⋱⫍274C)⨽((↥⪎⋱⫍11A6)↪⪝)↺(↯⪼(⪎⋱⫍109A⇷⪎⋱⫍1429-(⪎⋱⫍2856⫡⨏⪎⋱⫍672)))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":43224,"operation_count":11,"complexity_ratio":3929.4545454545455,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1170,"base":13},"right_expr":{"type":"numeric_atoms","value":1452,"base":13}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":5605,"base":13},"right_expr":{"type":"numeric_atoms","value":5641,"base":13}}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":2502,"base":13}}}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2324,"base":13},"right_expr":{"type":"numeric_atoms","value":2908,"base":13}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":5817,"base":13},"right_expr":{"type":"numeric_atoms","value":1107,"base":13}}}}},"used_operators":["7j4O788W3g","8HhzD0ZcuI","tmPS8pqC7x","g55IO6H4Gj","Ph9nP6C5qx","l07mrZUIn9","A8NUZmVepG","8jW3W4yZS5","rysDP5nf3Z","mp7IySMOzn","QMFrweE19q"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rJVOvQCfKK","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","2DDjHMKMc0","k8jYdgA6NY","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍1A655","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1170","layer":4},{"info":"number node, value=1452","layer":4},{"info":"compute binary expreesion, left_input=1170, right_input=1452, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=5244","layer":3},{"info":"number node, value=5605","layer":4},{"info":"number node, value=5641","layer":4},{"info":"compute binary expreesion, left_input=5605, right_input=5641, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=5168","layer":3},{"info":"compute binary expreesion, left_input=5244, right_input=5168, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=5244","layer":2},{"info":"number node, value=2502","layer":4},{"info":"compute unary expreesion, input=2502, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', 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":"compute binary expreesion, left_input=5244, right_input=183546, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-83047932","layer":1},{"info":"number node, value=2324","layer":4},{"info":"number node, value=2908","layer":4},{"info":"compute binary expreesion, left_input=2324, right_input=2908, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=5816","layer":3},{"info":"number node, value=5817","layer":4},{"info":"number node, value=1107","layer":4},{"info":"compute binary expreesion, left_input=5817, right_input=1107, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=32082","layer":3},{"info":"compute binary expreesion, left_input=5816, right_input=32082, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-26266","layer":2},{"info":"compute unary expreesion, input=-26266, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=51615","layer":1},{"info":"compute binary expreesion, left_input=-83047932, right_input=51615, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=51615","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍6C0⨸⪁⪎⋱⫍879)⨪↰⇹(⪎⋱⫍2722≧⫂∧⪎⋱⫍274C)⨽((↥⪎⋱⫍11A6)↪⪝)↺(↯⪼(⪎⋱⫍109A⇷⪎⋱⫍1429-(⪎⋱⫍2856⫡⨏⪎⋱⫍672)))=⪎⋱⫍1A655","reverse_text":"⪎⋱⫍1A655=(⪎⋱⫍6C0⨸⪁⪎⋱⫍879)⨪↰⇹(⪎⋱⫍2722≧⫂∧⪎⋱⫍274C)⨽((↥⪎⋱⫍11A6)↪⪝)↺(↯⪼(⪎⋱⫍109A⇷⪎⋱⫍1429-(⪎⋱⫍2856⫡⨏⪎⋱⫍672)))","cot":[{"info":"⪎⋱⫍6C0⨸⪁⪎⋱⫍879=⪎⋱⫍2505","layer":3},{"info":"⪎⋱⫍2722≧⫂∧⪎⋱⫍274C=⪎⋱⫍2477","layer":3},{"info":"⪎⋱⫍2505⨪↰⇹⪎⋱⫍2477=⪎⋱⫍2505","layer":2},{"info":"↥⪎⋱⫍11A6=⪎⋱⫍3","layer":3},{"info":"⪎⋱⫍3↪⪝=⪎⋱⫍6570C","layer":2},{"info":"⪎⋱⫍2505⨽⪎⋱⫍6570C=⪎⋱⫍-142897B6","layer":1},{"info":"⪎⋱⫍109A⇷⪎⋱⫍1429=⪎⋱⫍2855","layer":3},{"info":"⪎⋱⫍2856⫡⨏⪎⋱⫍672=⪎⋱⫍117AB","layer":3},{"info":"⪎⋱⫍2855-⪎⋱⫍117AB=⪎⋱⫍-BC56","layer":2},{"info":"↯⪼⪎⋱⫍-BC56=⪎⋱⫍1A655","layer":1},{"info":"⪎⋱⫍-142897B6↺⪎⋱⫍1A655=⪎⋱⫍1A655","layer":0}]}
{"id":199,"expression_no_base_symbol":"(($2851$⨵⪆$6754$)⨰(↔$1608$)⫸⊐(⪝⪂⫅(⨰⫟⨤$2331$)))⨳⩥⨓(($5154$⪒$1393$)⇷$3798$⪘⫢$2673$⋷($2046$%$2332$)⫥∨⫟(⇁⨣⪵$3239$))","expression":"((⪎⋱⫍13B4⨵⪆⪎⋱⫍30C7)⨰(↔⪎⋱⫍969)⫸⊐(⪝⪂⫅(⨰⫟⨤⪎⋱⫍10A4)))⨳⩥⨓((⪎⋱⫍2466⪒⪎⋱⫍832)⇷⪎⋱⫍1962⪘⫢⪎⋱⫍12A8⋷(⪎⋱⫍C15%⪎⋱⫍10A5)⫥∨⫟(⇁⨣⪵⪎⋱⫍1622))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":100368,"operation_count":14,"complexity_ratio":7169.142857142857,"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":2851,"base":13},"right_expr":{"type":"numeric_atoms","value":6754,"base":13}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":1608,"base":13}}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":2331,"base":13}}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":5154,"base":13},"right_expr":{"type":"numeric_atoms","value":1393,"base":13}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":3798,"base":13},"right_expr":{"type":"numeric_atoms","value":2673,"base":13}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2046,"base":13},"right_expr":{"type":"numeric_atoms","value":2332,"base":13}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":3239,"base":13}}}}},"used_operators":["nCS4ZIUYfx","mqXw5SEYmG","eewbuw0ToL","2DQ55sFlQl","ruOEQAzv1W","XTarYq4gQB","Tw270M8GLb","23Mk6UjR3U","mp7IySMOzn","f6k1SAg4EE","oacrs7FA3X","KYD54nUTWz","k8jYdgA6NY","inkyxCbjAn"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","9HNa5Wba9A","8w2t5hMYqp","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","B5M0gjZbta"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2851","layer":4},{"info":"number node, value=6754","layer":4},{"info":"compute binary expreesion, left_input=2851, right_input=6754, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=1608","layer":4},{"info":"compute unary expreesion, input=1608, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-1335","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-1335, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1505","layer":2},{"info":"number node, value=2331","layer":4},{"info":"compute unary expreesion, input=2331, 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 = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1505, 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=5154","layer":4},{"info":"number node, value=1393","layer":4},{"info":"compute binary expreesion, left_input=5154, right_input=1393, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-6547","layer":3},{"info":"number node, value=3798","layer":4},{"info":"number node, value=2673","layer":4},{"info":"compute binary expreesion, left_input=3798, right_input=2673, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=7472","layer":3},{"info":"compute binary expreesion, left_input=-6547, right_input=7472, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=14944","layer":2},{"info":"number node, value=2046","layer":4},{"info":"number node, value=2332","layer":4},{"info":"compute binary expreesion, left_input=2046, right_input=2332, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2046","layer":3},{"info":"number node, value=3239","layer":4},{"info":"compute unary expreesion, input=3239, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2046, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=14944, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍13B4⨵⪆⪎⋱⫍30C7)⨰(↔⪎⋱⫍969)⫸⊐(⪝⪂⫅(⨰⫟⨤⪎⋱⫍10A4)))⨳⩥⨓((⪎⋱⫍2466⪒⪎⋱⫍832)⇷⪎⋱⫍1962⪘⫢⪎⋱⫍12A8⋷(⪎⋱⫍C15%⪎⋱⫍10A5)⫥∨⫟(⇁⨣⪵⪎⋱⫍1622))=NaN","reverse_text":"NaN=((⪎⋱⫍13B4⨵⪆⪎⋱⫍30C7)⨰(↔⪎⋱⫍969)⫸⊐(⪝⪂⫅(⨰⫟⨤⪎⋱⫍10A4)))⨳⩥⨓((⪎⋱⫍2466⪒⪎⋱⫍832)⇷⪎⋱⫍1962⪘⫢⪎⋱⫍12A8⋷(⪎⋱⫍C15%⪎⋱⫍10A5)⫥∨⫟(⇁⨣⪵⪎⋱⫍1622))","cot":[{"info":"⪎⋱⫍13B4⨵⪆⪎⋱⫍30C7=⪎⋱⫍C4","layer":3},{"info":"↔⪎⋱⫍969=⪎⋱⫍-7B9","layer":3},{"info":"⪎⋱⫍C4⨰⪎⋱⫍-7B9=⪎⋱⫍8BA","layer":2},{"info":"⨰⫟⨤⪎⋱⫍10A4=NaN","layer":3},{"info":"⪝⪂⫅NaN=NaN","layer":2},{"info":"⪎⋱⫍8BA⫸⊐NaN=NaN","layer":1},{"info":"⪎⋱⫍2466⪒⪎⋱⫍832=⪎⋱⫍-2C98","layer":3},{"info":"⪎⋱⫍1962⪘⫢⪎⋱⫍12A8=⪎⋱⫍352A","layer":3},{"info":"⪎⋱⫍-2C98⇷⪎⋱⫍352A=⪎⋱⫍6A57","layer":2},{"info":"⪎⋱⫍C15%⪎⋱⫍10A5=⪎⋱⫍C15","layer":3},{"info":"⇁⨣⪵⪎⋱⫍1622=NaN","layer":3},{"info":"⪎⋱⫍C15⫥∨⫟NaN=NaN","layer":2},{"info":"⪎⋱⫍6A57⋷NaN=NaN","layer":1},{"info":"NaN⨳⩥⨓NaN=NaN","layer":0}]}
{"id":200,"expression_no_base_symbol":"⪝⪂⫅((($1247$⫡⨏$7443$)∲⫓$8089$∀⇚≩$3288$)⨐⩸⫘($3276$⋥≓≎$3379$)⫥∨⫟$2320$≹⇙⪍$1302$)","expression":"⪝⪂⫅(((⪎⋱⫍74C⫡⨏⪎⋱⫍3507)∲⫓⪎⋱⫍38B3∀⇚≩⪎⋱⫍165C)⨐⩸⫘(⪎⋱⫍1650⋥≓≎⪎⋱⫍16CC)⫥∨⫟⪎⋱⫍1096≹⇙⪍⪎⋱⫍792)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":56796,"operation_count":8,"complexity_ratio":7099.5,"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":1247,"base":13},"right_expr":{"type":"numeric_atoms","value":7443,"base":13}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":8089,"base":13},"right_expr":{"type":"numeric_atoms","value":3288,"base":13}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":3276,"base":13},"right_expr":{"type":"numeric_atoms","value":3379,"base":13}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2320,"base":13},"right_expr":{"type":"numeric_atoms","value":1302,"base":13}}}}},"used_operators":["XTarYq4gQB","fu6greOZ01","i8ToyICDmI","QMFrweE19q","LRNGc0VcxI","KYD54nUTWz","Qy55tPpLXF","AHs5Up7iyr"],"dependent_operators":["9HNa5Wba9A","8w2t5hMYqp","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1247","layer":4},{"info":"number node, value=7443","layer":4},{"info":"compute binary expreesion, left_input=1247, right_input=7443, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=21904","layer":3},{"info":"number node, value=8089","layer":4},{"info":"number node, value=3288","layer":4},{"info":"compute binary expreesion, left_input=8089, right_input=3288, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=21904, 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=3276","layer":4},{"info":"number node, value=3379","layer":4},{"info":"compute binary expreesion, left_input=3276, right_input=3379, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=3515","layer":3},{"info":"number node, value=2320","layer":4},{"info":"number node, value=1302","layer":4},{"info":"compute binary expreesion, left_input=2320, right_input=1302, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=3515, 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 = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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":13,"result_base":13,"text":"⪝⪂⫅(((⪎⋱⫍74C⫡⨏⪎⋱⫍3507)∲⫓⪎⋱⫍38B3∀⇚≩⪎⋱⫍165C)⨐⩸⫘(⪎⋱⫍1650⋥≓≎⪎⋱⫍16CC)⫥∨⫟⪎⋱⫍1096≹⇙⪍⪎⋱⫍792)=NaN","reverse_text":"NaN=⪝⪂⫅(((⪎⋱⫍74C⫡⨏⪎⋱⫍3507)∲⫓⪎⋱⫍38B3∀⇚≩⪎⋱⫍165C)⨐⩸⫘(⪎⋱⫍1650⋥≓≎⪎⋱⫍16CC)⫥∨⫟⪎⋱⫍1096≹⇙⪍⪎⋱⫍792)","cot":[{"info":"⪎⋱⫍74C⫡⨏⪎⋱⫍3507=⪎⋱⫍9C7C","layer":3},{"info":"⪎⋱⫍38B3∀⇚≩⪎⋱⫍165C=NaN","layer":3},{"info":"⪎⋱⫍9C7C∲⫓NaN=NaN","layer":2},{"info":"⪎⋱⫍1650⋥≓≎⪎⋱⫍16CC=⪎⋱⫍17A5","layer":3},{"info":"⪎⋱⫍1096≹⇙⪍⪎⋱⫍792=NaN","layer":3},{"info":"⪎⋱⫍17A5⫥∨⫟NaN=NaN","layer":2},{"info":"NaN⨐⩸⫘NaN=NaN","layer":1},{"info":"⪝⪂⫅NaN=NaN","layer":0}]}
{"id":201,"expression_no_base_symbol":"(($5367$⩤)∼($2687$≎⊠⪸$3078$)⊠≄⫣)↬($1526$⩨$5900$+$3322$≹⇙⪍$3000$)⇷($1081$⪮%⊝$1062$⨽($1606$⨵⪆$1817$))","expression":"((⪎⋱⫍259B⩤)∼(⪎⋱⫍12B9≎⊠⪸⪎⋱⫍152A)⊠≄⫣)↬(⪎⋱⫍905⩨⪎⋱⫍28BB+⪎⋱⫍1687≹⇙⪍⪎⋱⫍149A)⇷(⪎⋱⫍652⪮%⊝⪎⋱⫍639⨽(⪎⋱⫍967⨵⪆⪎⋱⫍A9A))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2896,"operation_count":12,"complexity_ratio":241.33333333333334,"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":5367,"base":13}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2687,"base":13},"right_expr":{"type":"numeric_atoms","value":3078,"base":13}}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1526,"base":13},"right_expr":{"type":"numeric_atoms","value":5900,"base":13}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":3322,"base":13},"right_expr":{"type":"numeric_atoms","value":3000,"base":13}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1081,"base":13},"right_expr":{"type":"numeric_atoms","value":1062,"base":13}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1606,"base":13},"right_expr":{"type":"numeric_atoms","value":1817,"base":13}}}}},"used_operators":["B5M0gjZbta","DIvbN7qnHd","DyGG3AbaNP","Z2TMIBDE3Q","bJkvcejdHO","mp7IySMOzn","W4YGzv6Whe","2DlMacCsIx","AHs5Up7iyr","8HhzD0ZcuI","IWmyXbctLI","2DQ55sFlQl"],"dependent_operators":["rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","dWAJyo7jo9","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5367","layer":4},{"info":"compute unary expreesion, input=5367, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-5367","layer":3},{"info":"number node, value=2687","layer":4},{"info":"number node, value=3078","layer":4},{"info":"compute binary expreesion, left_input=2687, right_input=3078, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=695460","layer":3},{"info":"compute binary expreesion, left_input=-5367, right_input=695460, 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=1526","layer":4},{"info":"number node, value=5900","layer":4},{"info":"compute binary expreesion, left_input=1526, right_input=5900, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-9","layer":3},{"info":"number node, value=3322","layer":4},{"info":"number node, value=3000","layer":4},{"info":"compute binary expreesion, left_input=3322, right_input=3000, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=-9, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=1081","layer":4},{"info":"number node, value=1062","layer":4},{"info":"compute binary expreesion, left_input=1081, right_input=1062, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=2478","layer":3},{"info":"number node, value=1606","layer":4},{"info":"number node, value=1817","layer":4},{"info":"compute binary expreesion, left_input=1606, right_input=1817, 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=2478, right_input=160, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-18420618","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-18420618, 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 = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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":13,"result_base":13,"text":"((⪎⋱⫍259B⩤)∼(⪎⋱⫍12B9≎⊠⪸⪎⋱⫍152A)⊠≄⫣)↬(⪎⋱⫍905⩨⪎⋱⫍28BB+⪎⋱⫍1687≹⇙⪍⪎⋱⫍149A)⇷(⪎⋱⫍652⪮%⊝⪎⋱⫍639⨽(⪎⋱⫍967⨵⪆⪎⋱⫍A9A))=NaN","reverse_text":"NaN=((⪎⋱⫍259B⩤)∼(⪎⋱⫍12B9≎⊠⪸⪎⋱⫍152A)⊠≄⫣)↬(⪎⋱⫍905⩨⪎⋱⫍28BB+⪎⋱⫍1687≹⇙⪍⪎⋱⫍149A)⇷(⪎⋱⫍652⪮%⊝⪎⋱⫍639⨽(⪎⋱⫍967⨵⪆⪎⋱⫍A9A))","cot":[{"info":"⪎⋱⫍259B⩤=⪎⋱⫍-259B","layer":3},{"info":"⪎⋱⫍12B9≎⊠⪸⪎⋱⫍152A=⪎⋱⫍1B471C","layer":3},{"info":"⪎⋱⫍-259B∼⪎⋱⫍1B471C=NaN","layer":2},{"info":"NaN⊠≄⫣=NaN","layer":1},{"info":"⪎⋱⫍905⩨⪎⋱⫍28BB=⪎⋱⫍-9","layer":3},{"info":"⪎⋱⫍1687≹⇙⪍⪎⋱⫍149A=NaN","layer":3},{"info":"⪎⋱⫍-9+NaN=NaN","layer":2},{"info":"⪎⋱⫍652⪮%⊝⪎⋱⫍639=⪎⋱⫍1188","layer":3},{"info":"⪎⋱⫍967⨵⪆⪎⋱⫍A9A=⪎⋱⫍C4","layer":3},{"info":"⪎⋱⫍1188⨽⪎⋱⫍C4=⪎⋱⫍-3A7C598","layer":2},{"info":"NaN⇷⪎⋱⫍-3A7C598=NaN","layer":1},{"info":"NaN↬NaN=NaN","layer":0}]}
{"id":202,"expression_no_base_symbol":"(($4080$⊭↱$1358$)∀⇚≩($1411$⋥≓≎$1681$))⇷(-($2703$⫡⨏$1035$))⨓(($3778$⋓$5199$)⪘⫢($1230$⋷$2913$)⇼⇔∾(↩$1994$⨽$1610$))","expression":"((⪎⋱⫍1B1B⊭↱⪎⋱⫍806)∀⇚≩(⪎⋱⫍847⋥≓≎⪎⋱⫍9C4))⇷(-(⪎⋱⫍12CC⫡⨏⪎⋱⫍618))⨓((⪎⋱⫍1948⋓⪎⋱⫍249C)⪘⫢(⪎⋱⫍738⋷⪎⋱⫍1431)⇼⇔∾(↩⪎⋱⫍BA5⨽⪎⋱⫍96B))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":40166,"operation_count":13,"complexity_ratio":3089.6923076923076,"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":4080,"base":13},"right_expr":{"type":"numeric_atoms","value":1358,"base":13}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1411,"base":13},"right_expr":{"type":"numeric_atoms","value":1681,"base":13}}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2703,"base":13},"right_expr":{"type":"numeric_atoms","value":1035,"base":13}}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":3778,"base":13},"right_expr":{"type":"numeric_atoms","value":5199,"base":13}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1230,"base":13},"right_expr":{"type":"numeric_atoms","value":2913,"base":13}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1994,"base":13},"right_expr":{"type":"numeric_atoms","value":1610,"base":13}}}}},"used_operators":["3ViojmjbAp","mp7IySMOzn","LRNGc0VcxI","COABgblf1C","Qy55tPpLXF","t8gj7n24qd","QMFrweE19q","tifHPKVTfV","oacrs7FA3X","T2fj7uvVaJ","23Mk6UjR3U","jLgFTUHLKL","8HhzD0ZcuI"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4080","layer":4},{"info":"number node, value=1358","layer":4},{"info":"compute binary expreesion, left_input=4080, right_input=1358, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-5439","layer":3},{"info":"number node, value=1411","layer":4},{"info":"number node, value=1681","layer":4},{"info":"compute binary expreesion, left_input=1411, right_input=1681, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=1984","layer":3},{"info":"compute binary expreesion, left_input=-5439, right_input=1984, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=2703","layer":4},{"info":"number node, value=1035","layer":4},{"info":"compute binary expreesion, left_input=2703, right_input=1035, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=16368","layer":3},{"info":"compute unary expreesion, input=16368, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-16368","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-16368, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":1},{"info":"number node, value=3778","layer":4},{"info":"number node, value=5199","layer":4},{"info":"compute binary expreesion, left_input=3778, right_input=5199, op_id = T2fj7uvVaJ binary_op_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=1230","layer":4},{"info":"number node, value=2913","layer":4},{"info":"compute binary expreesion, left_input=1230, right_input=2913, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=4596","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=4596, 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":"number node, value=1994","layer":4},{"info":"number node, value=1610","layer":4},{"info":"compute binary expreesion, left_input=1994, right_input=1610, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-11931624","layer":3},{"info":"compute unary expreesion, input=-11931624, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=47729116","layer":2},{"info":"compute binary expreesion, left_input=-1156, right_input=47729116, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=47730272","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=47730272, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍1B1B⊭↱⪎⋱⫍806)∀⇚≩(⪎⋱⫍847⋥≓≎⪎⋱⫍9C4))⇷(-(⪎⋱⫍12CC⫡⨏⪎⋱⫍618))⨓((⪎⋱⫍1948⋓⪎⋱⫍249C)⪘⫢(⪎⋱⫍738⋷⪎⋱⫍1431)⇼⇔∾(↩⪎⋱⫍BA5⨽⪎⋱⫍96B))=NaN","reverse_text":"NaN=((⪎⋱⫍1B1B⊭↱⪎⋱⫍806)∀⇚≩(⪎⋱⫍847⋥≓≎⪎⋱⫍9C4))⇷(-(⪎⋱⫍12CC⫡⨏⪎⋱⫍618))⨓((⪎⋱⫍1948⋓⪎⋱⫍249C)⪘⫢(⪎⋱⫍738⋷⪎⋱⫍1431)⇼⇔∾(↩⪎⋱⫍BA5⨽⪎⋱⫍96B))","cot":[{"info":"⪎⋱⫍1B1B⊭↱⪎⋱⫍806=⪎⋱⫍-2625","layer":3},{"info":"⪎⋱⫍847⋥≓≎⪎⋱⫍9C4=⪎⋱⫍B98","layer":3},{"info":"⪎⋱⫍-2625∀⇚≩⪎⋱⫍B98=NaN","layer":2},{"info":"⪎⋱⫍12CC⫡⨏⪎⋱⫍618=⪎⋱⫍75B1","layer":3},{"info":"-⪎⋱⫍75B1=⪎⋱⫍-75B1","layer":2},{"info":"NaN⇷⪎⋱⫍-75B1=NaN","layer":1},{"info":"⪎⋱⫍1948⋓⪎⋱⫍249C=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍738⋷⪎⋱⫍1431=⪎⋱⫍2127","layer":3},{"info":"⪎⋱⫍0⪘⫢⪎⋱⫍2127=⪎⋱⫍-6AC","layer":2},{"info":"⪎⋱⫍BA5⨽⪎⋱⫍96B=⪎⋱⫍-2619B43","layer":3},{"info":"↩⪎⋱⫍-2619B43=⪎⋱⫍9B718A6","layer":2},{"info":"⪎⋱⫍-6AC⇼⇔∾⪎⋱⫍9B718A6=⪎⋱⫍9B72285","layer":1},{"info":"NaN⨓⪎⋱⫍9B72285=NaN","layer":0}]}
{"id":203,"expression_no_base_symbol":"(($3126$*$3315$)⪢(↯⪼$1585$)⨰(⇁⨣⪵$5748$⇷$2515$))≹⇙⪍(((↥$2698$)⪢($1709$∑⇟⊟$2685$))⨟⋌⩍($1002$⨐⩸⫘$3981$↙($1185$⋷$2452$)))","expression":"((⪎⋱⫍1566*⪎⋱⫍1680)⪢(↯⪼⪎⋱⫍94C)⨰(⇁⨣⪵⪎⋱⫍2802⇷⪎⋱⫍11B6))≹⇙⪍(((↥⪎⋱⫍12C7)⪢(⪎⋱⫍A16∑⇟⊟⪎⋱⫍12B7))⨟⋌⩍(⪎⋱⫍5C1⨐⩸⫘⪎⋱⫍1A73↙(⪎⋱⫍702⋷⪎⋱⫍1168)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":3167854,"operation_count":14,"complexity_ratio":226275.2857142857,"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":3126,"base":13},"right_expr":{"type":"numeric_atoms","value":3315,"base":13}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1585,"base":13}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":5748,"base":13},"right_expr":{"type":"numeric_atoms","value":2515,"base":13}}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":2698,"base":13}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1709,"base":13},"right_expr":{"type":"numeric_atoms","value":2685,"base":13}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1002,"base":13},"right_expr":{"type":"numeric_atoms","value":3981,"base":13}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1185,"base":13},"right_expr":{"type":"numeric_atoms","value":2452,"base":13}}}}},"used_operators":["AHs5Up7iyr","eewbuw0ToL","dWAJyo7jo9","9HNa5Wba9A","8jW3W4yZS5","inkyxCbjAn","mp7IySMOzn","rGHVDoGpnC","A8NUZmVepG","U7g4x0WXJJ","yyfyN0ffXY","fu6greOZ01","23Mk6UjR3U"],"dependent_operators":["dWAJyo7jo9","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","W4YGzv6Whe","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","B5M0gjZbta","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","Tcnh7f0tEr","k8jYdgA6NY","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","tmPS8pqC7x","DpFCA1CohY","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3126","layer":4},{"info":"number node, value=3315","layer":4},{"info":"compute binary expreesion, left_input=3126, right_input=3315, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=10362690","layer":3},{"info":"number node, value=1585","layer":4},{"info":"compute unary expreesion, input=1585, 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=10362690, right_input=-21, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=5748","layer":4},{"info":"number node, value=2515","layer":4},{"info":"compute binary expreesion, left_input=5748, right_input=2515, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=5030","layer":3},{"info":"compute unary expreesion, input=5030, 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=2698","layer":4},{"info":"compute unary expreesion, input=2698, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=46","layer":3},{"info":"number node, value=1709","layer":4},{"info":"number node, value=2685","layer":4},{"info":"compute binary expreesion, left_input=1709, right_input=2685, 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=46, 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=1002","layer":4},{"info":"number node, value=3981","layer":4},{"info":"compute binary expreesion, left_input=1002, right_input=3981, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=1185","layer":4},{"info":"number node, value=2452","layer":4},{"info":"compute binary expreesion, left_input=1185, right_input=2452, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=3719","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3719, 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 = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍1566*⪎⋱⫍1680)⪢(↯⪼⪎⋱⫍94C)⨰(⇁⨣⪵⪎⋱⫍2802⇷⪎⋱⫍11B6))≹⇙⪍(((↥⪎⋱⫍12C7)⪢(⪎⋱⫍A16∑⇟⊟⪎⋱⫍12B7))⨟⋌⩍(⪎⋱⫍5C1⨐⩸⫘⪎⋱⫍1A73↙(⪎⋱⫍702⋷⪎⋱⫍1168)))=NaN","reverse_text":"NaN=((⪎⋱⫍1566*⪎⋱⫍1680)⪢(↯⪼⪎⋱⫍94C)⨰(⇁⨣⪵⪎⋱⫍2802⇷⪎⋱⫍11B6))≹⇙⪍(((↥⪎⋱⫍12C7)⪢(⪎⋱⫍A16∑⇟⊟⪎⋱⫍12B7))⨟⋌⩍(⪎⋱⫍5C1⨐⩸⫘⪎⋱⫍1A73↙(⪎⋱⫍702⋷⪎⋱⫍1168)))","cot":[{"info":"⪎⋱⫍1566*⪎⋱⫍1680=⪎⋱⫍21BA990","layer":3},{"info":"↯⪼⪎⋱⫍94C=⪎⋱⫍-18","layer":3},{"info":"⪎⋱⫍21BA990⪢⪎⋱⫍-18=NaN","layer":2},{"info":"⪎⋱⫍2802⇷⪎⋱⫍11B6=⪎⋱⫍239C","layer":3},{"info":"⇁⨣⪵⪎⋱⫍239C=NaN","layer":2},{"info":"NaN⨰NaN=NaN","layer":1},{"info":"↥⪎⋱⫍12C7=⪎⋱⫍37","layer":3},{"info":"⪎⋱⫍A16∑⇟⊟⪎⋱⫍12B7=NaN","layer":3},{"info":"⪎⋱⫍37⪢NaN=NaN","layer":2},{"info":"⪎⋱⫍5C1⨐⩸⫘⪎⋱⫍1A73=NaN","layer":3},{"info":"⪎⋱⫍702⋷⪎⋱⫍1168=⪎⋱⫍1901","layer":3},{"info":"NaN↙⪎⋱⫍1901=NaN","layer":2},{"info":"NaN⨟⋌⩍NaN=NaN","layer":1},{"info":"NaN≹⇙⪍NaN=NaN","layer":0}]}
{"id":204,"expression_no_base_symbol":"↔(⊙↵-(($2815$⪘⫢$4552$)⇷($4445$⨰$2042$)))","expression":"↔(⊙↵-((⪎⋱⫍1387⪘⫢⪎⋱⫍20C2)⇷(⪎⋱⫍203C⨰⪎⋱⫍C11)))","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":81993,"operation_count":5,"complexity_ratio":16398.6,"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":2815,"base":13},"right_expr":{"type":"numeric_atoms","value":4552,"base":13}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":4445,"base":13},"right_expr":{"type":"numeric_atoms","value":2042,"base":13}}}}},"used_operators":["ruOEQAzv1W","oWn0xqSxBt","mp7IySMOzn","oacrs7FA3X","eewbuw0ToL"],"dependent_operators":["XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍48B","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2815","layer":4},{"info":"number node, value=4552","layer":4},{"info":"compute binary expreesion, left_input=2815, right_input=4552, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=5506","layer":3},{"info":"number node, value=4445","layer":4},{"info":"number node, value=2042","layer":4},{"info":"compute binary expreesion, left_input=4445, right_input=2042, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=2413","layer":3},{"info":"compute binary expreesion, left_input=5506, right_input=2413, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=4826","layer":2},{"info":"compute unary expreesion, input=4826, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":1},{"info":"compute unary expreesion, input=-1, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=791","layer":0}],"base":13,"result_base":13,"text":"↔(⊙↵-((⪎⋱⫍1387⪘⫢⪎⋱⫍20C2)⇷(⪎⋱⫍203C⨰⪎⋱⫍C11)))=⪎⋱⫍48B","reverse_text":"⪎⋱⫍48B=↔(⊙↵-((⪎⋱⫍1387⪘⫢⪎⋱⫍20C2)⇷(⪎⋱⫍203C⨰⪎⋱⫍C11)))","cot":[{"info":"⪎⋱⫍1387⪘⫢⪎⋱⫍20C2=⪎⋱⫍2677","layer":3},{"info":"⪎⋱⫍203C⨰⪎⋱⫍C11=⪎⋱⫍1138","layer":3},{"info":"⪎⋱⫍2677⇷⪎⋱⫍1138=⪎⋱⫍2273","layer":2},{"info":"⊙↵-⪎⋱⫍2273=⪎⋱⫍-1","layer":1},{"info":"↔⪎⋱⫍-1=⪎⋱⫍48B","layer":0}]}
{"id":205,"expression_no_base_symbol":"($4279$⨳⩥⨓$4996$⩨$2756$⨎$1845$⩨($2575$∑⇟⊟$1019$)⪛(⋗⩬⋾$1918$))↺((⨑⩽⪐$1639$≹⇙⪍$2315$)⊉≛↸(($2369$∲⫓$2237$)⊉≛↸$1046$⪛$1632$))","expression":"(⪎⋱⫍1C42⨳⩥⨓⪎⋱⫍2374⩨⪎⋱⫍1340⨎⪎⋱⫍ABC⩨(⪎⋱⫍1231∑⇟⊟⪎⋱⫍605)⪛(⋗⩬⋾⪎⋱⫍B47))↺((⨑⩽⪐⪎⋱⫍991≹⇙⪍⪎⋱⫍1091)⊉≛↸((⪎⋱⫍1103∲⫓⪎⋱⫍1031)⊉≛↸⪎⋱⫍626⪛⪎⋱⫍987))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":41,"operation_count":14,"complexity_ratio":2.9285714285714284,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":4279,"base":13},"right_expr":{"type":"numeric_atoms","value":4996,"base":13}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2756,"base":13},"right_expr":{"type":"numeric_atoms","value":1845,"base":13}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":2575,"base":13},"right_expr":{"type":"numeric_atoms","value":1019,"base":13}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1918,"base":13}}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1639,"base":13},"right_expr":{"type":"numeric_atoms","value":2315,"base":13}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2369,"base":13},"right_expr":{"type":"numeric_atoms","value":2237,"base":13}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1046,"base":13},"right_expr":{"type":"numeric_atoms","value":1632,"base":13}}}}},"used_operators":["7j4O788W3g","2DlMacCsIx","nCS4ZIUYfx","rJVOvQCfKK","uFcxV4UQCh","U7g4x0WXJJ","DpFCA1CohY","DZ8iAZOCBD","AF7qkfDlqP","AHs5Up7iyr","i8ToyICDmI"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","rysDP5nf3Z","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4279","layer":4},{"info":"number node, value=4996","layer":4},{"info":"compute binary expreesion, left_input=4279, right_input=4996, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=717","layer":3},{"info":"number node, value=2756","layer":4},{"info":"number node, value=1845","layer":4},{"info":"compute binary expreesion, left_input=2756, right_input=1845, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1845","layer":3},{"info":"compute binary expreesion, left_input=717, right_input=1845, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-6","layer":2},{"info":"number node, value=2575","layer":4},{"info":"number node, value=1019","layer":4},{"info":"compute binary expreesion, left_input=2575, right_input=1019, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=1918","layer":4},{"info":"compute unary expreesion, input=1918, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-5754","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-5754, 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=-6, 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=1639","layer":4},{"info":"number node, value=2315","layer":4},{"info":"compute binary expreesion, left_input=1639, right_input=2315, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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 = 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=2369","layer":4},{"info":"number node, value=2237","layer":4},{"info":"compute binary expreesion, left_input=2369, 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=1046","layer":4},{"info":"number node, value=1632","layer":4},{"info":"compute binary expreesion, left_input=1046, right_input=1632, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1046","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1046, 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=nan, right_input=0, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍1C42⨳⩥⨓⪎⋱⫍2374⩨⪎⋱⫍1340⨎⪎⋱⫍ABC⩨(⪎⋱⫍1231∑⇟⊟⪎⋱⫍605)⪛(⋗⩬⋾⪎⋱⫍B47))↺((⨑⩽⪐⪎⋱⫍991≹⇙⪍⪎⋱⫍1091)⊉≛↸((⪎⋱⫍1103∲⫓⪎⋱⫍1031)⊉≛↸⪎⋱⫍626⪛⪎⋱⫍987))=NaN","reverse_text":"NaN=(⪎⋱⫍1C42⨳⩥⨓⪎⋱⫍2374⩨⪎⋱⫍1340⨎⪎⋱⫍ABC⩨(⪎⋱⫍1231∑⇟⊟⪎⋱⫍605)⪛(⋗⩬⋾⪎⋱⫍B47))↺((⨑⩽⪐⪎⋱⫍991≹⇙⪍⪎⋱⫍1091)⊉≛↸((⪎⋱⫍1103∲⫓⪎⋱⫍1031)⊉≛↸⪎⋱⫍626⪛⪎⋱⫍987))","cot":[{"info":"⪎⋱⫍1C42⨳⩥⨓⪎⋱⫍2374=⪎⋱⫍432","layer":3},{"info":"⪎⋱⫍1340⨎⪎⋱⫍ABC=⪎⋱⫍ABC","layer":3},{"info":"⪎⋱⫍432⩨⪎⋱⫍ABC=⪎⋱⫍-6","layer":2},{"info":"⪎⋱⫍1231∑⇟⊟⪎⋱⫍605=NaN","layer":3},{"info":"⋗⩬⋾⪎⋱⫍B47=⪎⋱⫍-2808","layer":3},{"info":"NaN⪛⪎⋱⫍-2808=NaN","layer":2},{"info":"⪎⋱⫍-6⩨NaN=NaN","layer":1},{"info":"⪎⋱⫍991≹⇙⪍⪎⋱⫍1091=NaN","layer":3},{"info":"⨑⩽⪐NaN=NaN","layer":2},{"info":"⪎⋱⫍1103∲⫓⪎⋱⫍1031=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍626⪛⪎⋱⫍987=⪎⋱⫍626","layer":3},{"info":"⪎⋱⫍0⊉≛↸⪎⋱⫍626=⪎⋱⫍0","layer":2},{"info":"NaN⊉≛↸⪎⋱⫍0=NaN","layer":1},{"info":"NaN↺NaN=NaN","layer":0}]}
{"id":206,"expression_no_base_symbol":"($1846$≹⇙⪍$1972$⩷∴($1081$⨽$5665$))∑⇟⊟(($3537$⩨$5780$)⋝⋈⪟($4627$⫩⊇))⨵⪆(⨞⊢($2518$⨎$1545$%(↯⪼$1259$)))","expression":"(⪎⋱⫍AC0≹⇙⪍⪎⋱⫍B89⩷∴(⪎⋱⫍652⨽⪎⋱⫍276A))∑⇟⊟((⪎⋱⫍17C1⩨⪎⋱⫍2828)⋝⋈⪟(⪎⋱⫍214C⫩⊇))⨵⪆(⨞⊢(⪎⋱⫍11B9⨎⪎⋱⫍91B%(↯⪼⪎⋱⫍75B)))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1223,"operation_count":12,"complexity_ratio":101.91666666666667,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1846,"base":13},"right_expr":{"type":"numeric_atoms","value":1972,"base":13}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1081,"base":13},"right_expr":{"type":"numeric_atoms","value":5665,"base":13}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":3537,"base":13},"right_expr":{"type":"numeric_atoms","value":5780,"base":13}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":4627,"base":13}}}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2518,"base":13},"right_expr":{"type":"numeric_atoms","value":1545,"base":13}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1259,"base":13}}}}},"used_operators":["2DQ55sFlQl","U7g4x0WXJJ","9FxExcQeMw","AHs5Up7iyr","8HhzD0ZcuI","2DDjHMKMc0","2DlMacCsIx","BjRHVeLaeN","xUOZtlo3hN","k8jYdgA6NY","rJVOvQCfKK","8jW3W4yZS5"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","dWAJyo7jo9","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp"],"result":"⪎⋱⫍C4","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1846","layer":4},{"info":"number node, value=1972","layer":4},{"info":"compute binary expreesion, left_input=1846, right_input=1972, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=1081","layer":4},{"info":"number node, value=5665","layer":4},{"info":"compute binary expreesion, left_input=1081, right_input=5665, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-3521364","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3521364, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":2},{"info":"number node, value=3537","layer":4},{"info":"number node, value=5780","layer":4},{"info":"compute binary expreesion, left_input=3537, right_input=5780, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":3},{"info":"number node, value=4627","layer":4},{"info":"compute unary expreesion, input=4627, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-4585","layer":3},{"info":"compute binary expreesion, left_input=-3, right_input=-4585, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-3","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-3, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=2518","layer":4},{"info":"number node, value=1545","layer":4},{"info":"compute binary expreesion, left_input=2518, right_input=1545, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1545","layer":3},{"info":"number node, value=1259","layer":4},{"info":"compute unary expreesion, input=1259, 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=1545, right_input=-21, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-9","layer":2},{"info":"compute unary expreesion, input=-9, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-165","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-165, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍AC0≹⇙⪍⪎⋱⫍B89⩷∴(⪎⋱⫍652⨽⪎⋱⫍276A))∑⇟⊟((⪎⋱⫍17C1⩨⪎⋱⫍2828)⋝⋈⪟(⪎⋱⫍214C⫩⊇))⨵⪆(⨞⊢(⪎⋱⫍11B9⨎⪎⋱⫍91B%(↯⪼⪎⋱⫍75B)))=⪎⋱⫍C4","reverse_text":"⪎⋱⫍C4=(⪎⋱⫍AC0≹⇙⪍⪎⋱⫍B89⩷∴(⪎⋱⫍652⨽⪎⋱⫍276A))∑⇟⊟((⪎⋱⫍17C1⩨⪎⋱⫍2828)⋝⋈⪟(⪎⋱⫍214C⫩⊇))⨵⪆(⨞⊢(⪎⋱⫍11B9⨎⪎⋱⫍91B%(↯⪼⪎⋱⫍75B)))","cot":[{"info":"⪎⋱⫍AC0≹⇙⪍⪎⋱⫍B89=NaN","layer":3},{"info":"⪎⋱⫍652⨽⪎⋱⫍276A=⪎⋱⫍-963A62","layer":3},{"info":"NaN⩷∴⪎⋱⫍-963A62=NaN","layer":2},{"info":"⪎⋱⫍17C1⩨⪎⋱⫍2828=⪎⋱⫍-3","layer":3},{"info":"⪎⋱⫍214C⫩⊇=⪎⋱⫍-2119","layer":3},{"info":"⪎⋱⫍-3⋝⋈⪟⪎⋱⫍-2119=⪎⋱⫍-3","layer":2},{"info":"NaN∑⇟⊟⪎⋱⫍-3=NaN","layer":1},{"info":"⪎⋱⫍11B9⨎⪎⋱⫍91B=⪎⋱⫍91B","layer":3},{"info":"↯⪼⪎⋱⫍75B=⪎⋱⫍-18","layer":3},{"info":"⪎⋱⫍91B%⪎⋱⫍-18=⪎⋱⫍-9","layer":2},{"info":"⨞⊢⪎⋱⫍-9=⪎⋱⫍-C9","layer":1},{"info":"NaN⨵⪆⪎⋱⫍-C9=⪎⋱⫍C4","layer":0}]}
{"id":207,"expression_no_base_symbol":"($6451$⨳⩥⨓$2319$+$5305$↬$4529$)∑⇟⊟($1031$⨰$6864$)⪮%⊝($7131$⪛$7075$)⪄($5304$⩷∴$2864$⨸⪁(+⊝⨔$2700$)∲⫓((⊙↵-$1434$)⋷$2809$⫥∨⫟$1402$))","expression":"(⪎⋱⫍2C23⨳⩥⨓⪎⋱⫍1095+⪎⋱⫍2551↬⪎⋱⫍20A5)∑⇟⊟(⪎⋱⫍614⨰⪎⋱⫍3180)⪮%⊝(⪎⋱⫍3327⪛⪎⋱⫍32B3)⪄(⪎⋱⫍2550⩷∴⪎⋱⫍13C4⨸⪁(+⊝⨔⪎⋱⫍12C9)∲⫓((⊙↵-⪎⋱⫍864)⋷⪎⋱⫍1381⫥∨⫟⪎⋱⫍83B))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":1733,"operation_count":15,"complexity_ratio":115.53333333333333,"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":6451,"base":13},"right_expr":{"type":"numeric_atoms","value":2319,"base":13}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":5305,"base":13},"right_expr":{"type":"numeric_atoms","value":4529,"base":13}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1031,"base":13},"right_expr":{"type":"numeric_atoms","value":6864,"base":13}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":7131,"base":13},"right_expr":{"type":"numeric_atoms","value":7075,"base":13}}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":5304,"base":13},"right_expr":{"type":"numeric_atoms","value":2864,"base":13}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":2700,"base":13}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1434,"base":13}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2809,"base":13},"right_expr":{"type":"numeric_atoms","value":1402,"base":13}}}}},"used_operators":["SUmda5xLS4","U7g4x0WXJJ","W4YGzv6Whe","nCS4ZIUYfx","B5M0gjZbta","IWmyXbctLI","eewbuw0ToL","uFcxV4UQCh","i8ToyICDmI","g55IO6H4Gj","9FxExcQeMw","DhbWaqg5eL","23Mk6UjR3U","oWn0xqSxBt","KYD54nUTWz"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","rysDP5nf3Z","rGHVDoGpnC","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","8HhzD0ZcuI","rGHVDoGpnC"],"result":"⪎⋱⫍1A71","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=6451","layer":4},{"info":"number node, value=2319","layer":4},{"info":"compute binary expreesion, left_input=6451, right_input=2319, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-4132","layer":3},{"info":"number node, value=5305","layer":4},{"info":"number node, value=4529","layer":4},{"info":"compute binary expreesion, left_input=5305, right_input=4529, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=-4132, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=1031","layer":4},{"info":"number node, value=6864","layer":4},{"info":"compute binary expreesion, left_input=1031, right_input=6864, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-5823","layer":3},{"info":"number node, value=7131","layer":4},{"info":"number node, value=7075","layer":4},{"info":"compute binary expreesion, left_input=7131, right_input=7075, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=56","layer":3},{"info":"compute binary expreesion, left_input=-5823, right_input=56, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-11330","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-11330, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=5304","layer":4},{"info":"number node, value=2864","layer":4},{"info":"compute binary expreesion, left_input=5304, right_input=2864, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=4848","layer":3},{"info":"number node, value=2700","layer":4},{"info":"compute unary expreesion, input=2700, 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=4848, right_input=1522, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=12740","layer":2},{"info":"number node, value=1434","layer":4},{"info":"compute unary expreesion, input=1434, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=2809","layer":4},{"info":"number node, value=1402","layer":4},{"info":"compute binary expreesion, left_input=2809, right_input=1402, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=2","layer":2},{"info":"compute binary expreesion, left_input=12740, right_input=2, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=12740","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=12740, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍2C23⨳⩥⨓⪎⋱⫍1095+⪎⋱⫍2551↬⪎⋱⫍20A5)∑⇟⊟(⪎⋱⫍614⨰⪎⋱⫍3180)⪮%⊝(⪎⋱⫍3327⪛⪎⋱⫍32B3)⪄(⪎⋱⫍2550⩷∴⪎⋱⫍13C4⨸⪁(+⊝⨔⪎⋱⫍12C9)∲⫓((⊙↵-⪎⋱⫍864)⋷⪎⋱⫍1381⫥∨⫟⪎⋱⫍83B))=⪎⋱⫍1A71","reverse_text":"⪎⋱⫍1A71=(⪎⋱⫍2C23⨳⩥⨓⪎⋱⫍1095+⪎⋱⫍2551↬⪎⋱⫍20A5)∑⇟⊟(⪎⋱⫍614⨰⪎⋱⫍3180)⪮%⊝(⪎⋱⫍3327⪛⪎⋱⫍32B3)⪄(⪎⋱⫍2550⩷∴⪎⋱⫍13C4⨸⪁(+⊝⨔⪎⋱⫍12C9)∲⫓((⊙↵-⪎⋱⫍864)⋷⪎⋱⫍1381⫥∨⫟⪎⋱⫍83B))","cot":[{"info":"⪎⋱⫍2C23⨳⩥⨓⪎⋱⫍1095=⪎⋱⫍-1B5B","layer":3},{"info":"⪎⋱⫍2551↬⪎⋱⫍20A5=NaN","layer":3},{"info":"⪎⋱⫍-1B5B+NaN=NaN","layer":2},{"info":"⪎⋱⫍614⨰⪎⋱⫍3180=⪎⋱⫍-285C","layer":3},{"info":"⪎⋱⫍3327⪛⪎⋱⫍32B3=⪎⋱⫍44","layer":3},{"info":"⪎⋱⫍-285C⪮%⊝⪎⋱⫍44=⪎⋱⫍-5207","layer":2},{"info":"NaN∑⇟⊟⪎⋱⫍-5207=NaN","layer":1},{"info":"⪎⋱⫍2550⩷∴⪎⋱⫍13C4=⪎⋱⫍228C","layer":3},{"info":"+⊝⨔⪎⋱⫍12C9=⪎⋱⫍901","layer":3},{"info":"⪎⋱⫍228C⨸⪁⪎⋱⫍901=⪎⋱⫍5A50","layer":2},{"info":"⊙↵-⪎⋱⫍864=⪎⋱⫍-1","layer":3},{"info":"⪎⋱⫍1381⫥∨⫟⪎⋱⫍83B=NaN","layer":3},{"info":"⪎⋱⫍-1⋷NaN=⪎⋱⫍2","layer":2},{"info":"⪎⋱⫍5A50∲⫓⪎⋱⫍2=⪎⋱⫍5A50","layer":1},{"info":"NaN⪄⪎⋱⫍5A50=⪎⋱⫍1A71","layer":0}]}
{"id":208,"expression_no_base_symbol":"((⨵≀≌($4109$⨵⪆$6791$))∀⇚≩($2885$⋓$1546$%$4035$∀⇚≩$1742$))⨟⋌⩍(($1431$⪮%⊝$9026$)⊴$2191$⊴$1646$⊪)","expression":"((⨵≀≌(⪎⋱⫍1B41⨵⪆⪎⋱⫍3125))∀⇚≩(⪎⋱⫍140C⋓⪎⋱⫍91C%⪎⋱⫍1AB5∀⇚≩⪎⋱⫍A40))⨟⋌⩍((⪎⋱⫍861⪮%⊝⪎⋱⫍4154)⊴⪎⋱⫍CC7⊴⪎⋱⫍998⊪)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":212790,"operation_count":11,"complexity_ratio":19344.545454545456,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":4109,"base":13},"right_expr":{"type":"numeric_atoms","value":6791,"base":13}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2885,"base":13},"right_expr":{"type":"numeric_atoms","value":1546,"base":13}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":4035,"base":13},"right_expr":{"type":"numeric_atoms","value":1742,"base":13}}}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1431,"base":13},"right_expr":{"type":"numeric_atoms","value":9026,"base":13}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2191,"base":13},"right_expr":{"type":"numeric_atoms","value":1646,"base":13}}}}},"used_operators":["rGHVDoGpnC","LRNGc0VcxI","srAu1WTS94","2DQ55sFlQl","k8jYdgA6NY","T2fj7uvVaJ","zVYPLywUTj","Nsiff2A1zJ","IWmyXbctLI"],"dependent_operators":["Tcnh7f0tEr","X99M06cbEe","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","dWAJyo7jo9","14qkJME0vr","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4109","layer":4},{"info":"number node, value=6791","layer":4},{"info":"compute binary expreesion, left_input=4109, 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 = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=25600","layer":2},{"info":"number node, value=2885","layer":4},{"info":"number node, value=1546","layer":4},{"info":"compute binary expreesion, left_input=2885, 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":"number node, value=4035","layer":4},{"info":"number node, value=1742","layer":4},{"info":"compute binary expreesion, left_input=4035, right_input=1742, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=25600, 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=1431","layer":4},{"info":"number node, value=9026","layer":4},{"info":"compute binary expreesion, left_input=1431, right_input=9026, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3178","layer":3},{"info":"number node, value=2191","layer":4},{"info":"number node, value=1646","layer":4},{"info":"compute binary expreesion, left_input=2191, right_input=1646, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3178, 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 = 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 = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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":13,"result_base":13,"text":"((⨵≀≌(⪎⋱⫍1B41⨵⪆⪎⋱⫍3125))∀⇚≩(⪎⋱⫍140C⋓⪎⋱⫍91C%⪎⋱⫍1AB5∀⇚≩⪎⋱⫍A40))⨟⋌⩍((⪎⋱⫍861⪮%⊝⪎⋱⫍4154)⊴⪎⋱⫍CC7⊴⪎⋱⫍998⊪)=NaN","reverse_text":"NaN=((⨵≀≌(⪎⋱⫍1B41⨵⪆⪎⋱⫍3125))∀⇚≩(⪎⋱⫍140C⋓⪎⋱⫍91C%⪎⋱⫍1AB5∀⇚≩⪎⋱⫍A40))⨟⋌⩍((⪎⋱⫍861⪮%⊝⪎⋱⫍4154)⊴⪎⋱⫍CC7⊴⪎⋱⫍998⊪)","cot":[{"info":"⪎⋱⫍1B41⨵⪆⪎⋱⫍3125=⪎⋱⫍C4","layer":3},{"info":"⨵≀≌⪎⋱⫍C4=⪎⋱⫍B863","layer":2},{"info":"⪎⋱⫍140C⋓⪎⋱⫍91C=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍1AB5∀⇚≩⪎⋱⫍A40=NaN","layer":3},{"info":"⪎⋱⫍0%NaN=NaN","layer":2},{"info":"⪎⋱⫍B863∀⇚≩NaN=NaN","layer":1},{"info":"⪎⋱⫍861⪮%⊝⪎⋱⫍4154=⪎⋱⫍15A6","layer":3},{"info":"⪎⋱⫍CC7⊴⪎⋱⫍998=NaN","layer":3},{"info":"⪎⋱⫍15A6⊴NaN=NaN","layer":2},{"info":"NaN⊪=NaN","layer":1},{"info":"NaN⨟⋌⩍NaN=NaN","layer":0}]}
{"id":209,"expression_no_base_symbol":"⨑⩽⪐(↯⪼(⨞⊢(⪝⪂⫅$1327$)))","expression":"⨑⩽⪐(↯⪼(⨞⊢(⪝⪂⫅⪎⋱⫍7B1)))","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":190,"operation_count":4,"complexity_ratio":47.5,"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":1327,"base":13}}}}},"used_operators":["AF7qkfDlqP","8jW3W4yZS5","xUOZtlo3hN","XTarYq4gQB"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp"],"result":"⪎⋱⫍4BC","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1327","layer":4},{"info":"compute unary expreesion, input=1327, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-195069","layer":3},{"info":"compute unary expreesion, input=-195069, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=194895","layer":2},{"info":"compute unary expreesion, input=194895, 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 = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=831","layer":0}],"base":13,"result_base":13,"text":"⨑⩽⪐(↯⪼(⨞⊢(⪝⪂⫅⪎⋱⫍7B1)))=⪎⋱⫍4BC","reverse_text":"⪎⋱⫍4BC=⨑⩽⪐(↯⪼(⨞⊢(⪝⪂⫅⪎⋱⫍7B1)))","cot":[{"info":"⪝⪂⫅⪎⋱⫍7B1=⪎⋱⫍-6AA34","layer":3},{"info":"⨞⊢⪎⋱⫍-6AA34=⪎⋱⫍6A92C","layer":2},{"info":"↯⪼⪎⋱⫍6A92C=⪎⋱⫍-18","layer":1},{"info":"⨑⩽⪐⪎⋱⫍-18=⪎⋱⫍4BC","layer":0}]}
{"id":210,"expression_no_base_symbol":"(($1917$*$1575$⫡⨏$1095$⨸⪁$3456$)∼($1985$⪮%⊝$6396$↬($3953$+$1261$)))∧","expression":"((⪎⋱⫍B46*⪎⋱⫍942⫡⨏⪎⋱⫍663⨸⪁⪎⋱⫍175B)∼(⪎⋱⫍B99⪮%⊝⪎⋱⫍2BB0↬(⪎⋱⫍1A51+⪎⋱⫍760)))∧","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":297985,"operation_count":8,"complexity_ratio":37248.125,"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":1917,"base":13},"right_expr":{"type":"numeric_atoms","value":1575,"base":13}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1095,"base":13},"right_expr":{"type":"numeric_atoms","value":3456,"base":13}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1985,"base":13},"right_expr":{"type":"numeric_atoms","value":6396,"base":13}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":3953,"base":13},"right_expr":{"type":"numeric_atoms","value":1261,"base":13}}}}},"used_operators":["z63VuFQld9","DyGG3AbaNP","QMFrweE19q","9HNa5Wba9A","g55IO6H4Gj","B5M0gjZbta","IWmyXbctLI","W4YGzv6Whe"],"dependent_operators":["B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","rGHVDoGpnC","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1917","layer":4},{"info":"number node, value=1575","layer":4},{"info":"compute binary expreesion, left_input=1917, right_input=1575, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=3019275","layer":3},{"info":"number node, value=1095","layer":4},{"info":"number node, value=3456","layer":4},{"info":"compute binary expreesion, left_input=1095, right_input=3456, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=9102","layer":3},{"info":"compute binary expreesion, left_input=3019275, right_input=9102, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=15115362","layer":2},{"info":"number node, value=1985","layer":4},{"info":"number node, value=6396","layer":4},{"info":"compute binary expreesion, left_input=1985, right_input=6396, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=4286","layer":3},{"info":"number node, value=3953","layer":4},{"info":"number node, value=1261","layer":4},{"info":"compute binary expreesion, left_input=3953, right_input=1261, op_id = W4YGzv6Whe binary_op_definition= 'None', output=5214","layer":3},{"info":"compute binary expreesion, left_input=4286, right_input=5214, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=15115362, 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 = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍B46*⪎⋱⫍942⫡⨏⪎⋱⫍663⨸⪁⪎⋱⫍175B)∼(⪎⋱⫍B99⪮%⊝⪎⋱⫍2BB0↬(⪎⋱⫍1A51+⪎⋱⫍760)))∧=NaN","reverse_text":"NaN=((⪎⋱⫍B46*⪎⋱⫍942⫡⨏⪎⋱⫍663⨸⪁⪎⋱⫍175B)∼(⪎⋱⫍B99⪮%⊝⪎⋱⫍2BB0↬(⪎⋱⫍1A51+⪎⋱⫍760)))∧","cot":[{"info":"⪎⋱⫍B46*⪎⋱⫍942=⪎⋱⫍81936C","layer":3},{"info":"⪎⋱⫍663⨸⪁⪎⋱⫍175B=⪎⋱⫍41B2","layer":3},{"info":"⪎⋱⫍81936C⫡⨏⪎⋱⫍41B2=⪎⋱⫍3193002","layer":2},{"info":"⪎⋱⫍B99⪮%⊝⪎⋱⫍2BB0=⪎⋱⫍1C49","layer":3},{"info":"⪎⋱⫍1A51+⪎⋱⫍760=⪎⋱⫍24B1","layer":3},{"info":"⪎⋱⫍1C49↬⪎⋱⫍24B1=NaN","layer":2},{"info":"⪎⋱⫍3193002∼NaN=NaN","layer":1},{"info":"NaN∧=NaN","layer":0}]}
{"id":211,"expression_no_base_symbol":"(($7398$⩨$1015$)⊠≄⫣)⪮%⊝(($6261$≣⋋)⋳⪒($5392$⩤))⩚⊴⇥(∂(≤/(-$2405$)))","expression":"((⪎⋱⫍34A1⩨⪎⋱⫍601)⊠≄⫣)⪮%⊝((⪎⋱⫍2B08≣⋋)⋳⪒(⪎⋱⫍25BA⩤))⩚⊴⇥(∂(≤/(-⪎⋱⫍1130)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":544,"operation_count":10,"complexity_ratio":54.4,"tree":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":7398,"base":13},"right_expr":{"type":"numeric_atoms","value":1015,"base":13}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":6261,"base":13}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":5392,"base":13}}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":2405,"base":13}}}}},"used_operators":["NTOWxs364D","IWmyXbctLI","DIvbN7qnHd","2DlMacCsIx","12rbrZMWeM","Tcnh7f0tEr","Z2TMIBDE3Q","Uaa54Peajs","eLAdDNolq6","t8gj7n24qd"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=7398","layer":4},{"info":"number node, value=1015","layer":4},{"info":"compute binary expreesion, left_input=7398, right_input=1015, 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 = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":2},{"info":"number node, value=6261","layer":4},{"info":"compute unary expreesion, input=6261, 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=5392","layer":4},{"info":"compute unary expreesion, input=5392, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-5392","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-5392, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=5105","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=5105, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=316","layer":1},{"info":"number node, value=2405","layer":4},{"info":"compute unary expreesion, input=2405, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-2405","layer":3},{"info":"compute unary expreesion, input=-2405, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=2889","layer":2},{"info":"compute unary expreesion, input=2889, 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=316, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍34A1⩨⪎⋱⫍601)⊠≄⫣)⪮%⊝((⪎⋱⫍2B08≣⋋)⋳⪒(⪎⋱⫍25BA⩤))⩚⊴⇥(∂(≤/(-⪎⋱⫍1130)))=NaN","reverse_text":"NaN=((⪎⋱⫍34A1⩨⪎⋱⫍601)⊠≄⫣)⪮%⊝((⪎⋱⫍2B08≣⋋)⋳⪒(⪎⋱⫍25BA⩤))⩚⊴⇥(∂(≤/(-⪎⋱⫍1130)))","cot":[{"info":"⪎⋱⫍34A1⩨⪎⋱⫍601=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍0⊠≄⫣=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍2B08≣⋋=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍25BA⩤=⪎⋱⫍-25BA","layer":3},{"info":"⪎⋱⫍0⋳⪒⪎⋱⫍-25BA=⪎⋱⫍2429","layer":2},{"info":"⪎⋱⫍0⪮%⊝⪎⋱⫍2429=⪎⋱⫍1B4","layer":1},{"info":"-⪎⋱⫍1130=⪎⋱⫍-1130","layer":3},{"info":"≤/⪎⋱⫍-1130=⪎⋱⫍1413","layer":2},{"info":"∂⪎⋱⫍1413=NaN","layer":1},{"info":"⪎⋱⫍1B4⩚⊴⇥NaN=NaN","layer":0}]}
{"id":212,"expression_no_base_symbol":"($5458$⋓$3578$/$2979$⪒$2771$)⪮%⊝($1087$⩷∴$4462$⋷$4627$⪄$1920$)∼((⪲⇎$2522$⩷∴$1199$)↺(↩$1713$)∑⇟⊟($2070$⫥∨⫟$3744$))","expression":"(⪎⋱⫍263B⋓⪎⋱⫍1823/⪎⋱⫍1482⪒⪎⋱⫍1352)⪮%⊝(⪎⋱⫍658⩷∴⪎⋱⫍2053⋷⪎⋱⫍214C⪄⪎⋱⫍B49)∼((⪲⇎⪎⋱⫍11C0⩷∴⪎⋱⫍713)↺(↩⪎⋱⫍A1A)∑⇟⊟(⪎⋱⫍C33⫥∨⫟⪎⋱⫍1920))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":318,"operation_count":14,"complexity_ratio":22.714285714285715,"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":5458,"base":13},"right_expr":{"type":"numeric_atoms","value":3578,"base":13}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2979,"base":13},"right_expr":{"type":"numeric_atoms","value":2771,"base":13}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1087,"base":13},"right_expr":{"type":"numeric_atoms","value":4462,"base":13}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":4627,"base":13},"right_expr":{"type":"numeric_atoms","value":1920,"base":13}}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2522,"base":13},"right_expr":{"type":"numeric_atoms","value":1199,"base":13}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":1713,"base":13}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2070,"base":13},"right_expr":{"type":"numeric_atoms","value":3744,"base":13}}}}},"used_operators":["DyGG3AbaNP","IWmyXbctLI","XhwjNDsVaA","T2fj7uvVaJ","f6k1SAg4EE","23Mk6UjR3U","9FxExcQeMw","SUmda5xLS4","7j4O788W3g","XPYlsWDdGa","U7g4x0WXJJ","jLgFTUHLKL","KYD54nUTWz"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5458","layer":4},{"info":"number node, value=3578","layer":4},{"info":"compute binary expreesion, left_input=5458, right_input=3578, op_id = T2fj7uvVaJ binary_op_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=2979","layer":4},{"info":"number node, value=2771","layer":4},{"info":"compute binary expreesion, left_input=2979, right_input=2771, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5750","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-5750, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":2},{"info":"number node, value=1087","layer":4},{"info":"number node, value=4462","layer":4},{"info":"compute binary expreesion, left_input=1087, right_input=4462, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-6782","layer":3},{"info":"number node, value=4627","layer":4},{"info":"number node, value=1920","layer":4},{"info":"compute binary expreesion, left_input=4627, right_input=1920, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-688565","layer":3},{"info":"compute binary expreesion, left_input=-6782, right_input=-688565, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=13564","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=13564, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=316","layer":1},{"info":"number node, value=2522","layer":4},{"info":"number node, value=1199","layer":4},{"info":"compute binary expreesion, left_input=2522, right_input=1199, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=2614","layer":3},{"info":"compute unary expreesion, input=2614, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=5228","layer":2},{"info":"number node, value=1713","layer":4},{"info":"compute unary expreesion, input=1713, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-10924","layer":3},{"info":"number node, value=2070","layer":4},{"info":"number node, value=3744","layer":4},{"info":"compute binary expreesion, left_input=2070, right_input=3744, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-10924, 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=5228, 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=316, 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":13,"result_base":13,"text":"(⪎⋱⫍263B⋓⪎⋱⫍1823/⪎⋱⫍1482⪒⪎⋱⫍1352)⪮%⊝(⪎⋱⫍658⩷∴⪎⋱⫍2053⋷⪎⋱⫍214C⪄⪎⋱⫍B49)∼((⪲⇎⪎⋱⫍11C0⩷∴⪎⋱⫍713)↺(↩⪎⋱⫍A1A)∑⇟⊟(⪎⋱⫍C33⫥∨⫟⪎⋱⫍1920))=NaN","reverse_text":"NaN=(⪎⋱⫍263B⋓⪎⋱⫍1823/⪎⋱⫍1482⪒⪎⋱⫍1352)⪮%⊝(⪎⋱⫍658⩷∴⪎⋱⫍2053⋷⪎⋱⫍214C⪄⪎⋱⫍B49)∼((⪲⇎⪎⋱⫍11C0⩷∴⪎⋱⫍713)↺(↩⪎⋱⫍A1A)∑⇟⊟(⪎⋱⫍C33⫥∨⫟⪎⋱⫍1920))","cot":[{"info":"⪎⋱⫍263B⋓⪎⋱⫍1823=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍1482⪒⪎⋱⫍1352=⪎⋱⫍-2804","layer":3},{"info":"⪎⋱⫍0/⪎⋱⫍-2804=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍658⩷∴⪎⋱⫍2053=⪎⋱⫍-3119","layer":3},{"info":"⪎⋱⫍214C⪄⪎⋱⫍B49=⪎⋱⫍-1B1547","layer":3},{"info":"⪎⋱⫍-3119⋷⪎⋱⫍-1B1547=⪎⋱⫍6235","layer":2},{"info":"⪎⋱⫍0⪮%⊝⪎⋱⫍6235=⪎⋱⫍1B4","layer":1},{"info":"⪎⋱⫍11C0⩷∴⪎⋱⫍713=⪎⋱⫍1261","layer":3},{"info":"⪲⇎⪎⋱⫍1261=⪎⋱⫍24C2","layer":2},{"info":"↩⪎⋱⫍A1A=⪎⋱⫍-4C84","layer":3},{"info":"⪎⋱⫍C33⫥∨⫟⪎⋱⫍1920=NaN","layer":3},{"info":"⪎⋱⫍-4C84∑⇟⊟NaN=NaN","layer":2},{"info":"⪎⋱⫍24C2↺NaN=NaN","layer":1},{"info":"⪎⋱⫍1B4∼NaN=NaN","layer":0}]}
{"id":213,"expression_no_base_symbol":"((⩦⩻⨪($2128$⋷$7052$))⋳⪒(($1871$⩠)+$2172$-$3304$))⋝⋈⪟(($1027$⫩⊇)+⇶⊼$5514$≹⇙⪍$2015$-($2949$⫸⊐$4302$)≎⊠⪸(↔$5048$))","expression":"((⩦⩻⨪(⪎⋱⫍C79⋷⪎⋱⫍3296))⋳⪒((⪎⋱⫍B0C⩠)+⪎⋱⫍CB1-⪎⋱⫍1672))⋝⋈⪟((⪎⋱⫍610⫩⊇)+⇶⊼⪎⋱⫍2682≹⇙⪍⪎⋱⫍BC0-(⪎⋱⫍145B⫸⊐⪎⋱⫍1C5C)≎⊠⪸(↔⪎⋱⫍23B4))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":83,"operation_count":14,"complexity_ratio":5.928571428571429,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":2128,"base":13},"right_expr":{"type":"numeric_atoms","value":7052,"base":13}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":1871,"base":13}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2172,"base":13},"right_expr":{"type":"numeric_atoms","value":3304,"base":13}}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":1027,"base":13}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":5514,"base":13},"right_expr":{"type":"numeric_atoms","value":2015,"base":13}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2949,"base":13},"right_expr":{"type":"numeric_atoms","value":4302,"base":13}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":5048,"base":13}}}}},"used_operators":["2DDjHMKMc0","12rbrZMWeM","2td37pGCOC","23Mk6UjR3U","W4YGzv6Whe","sJAwomhLZr","rysDP5nf3Z","TpPTUOHfaN","BjRHVeLaeN","AHs5Up7iyr","bJkvcejdHO","mqXw5SEYmG","ruOEQAzv1W"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2128","layer":4},{"info":"number node, value=7052","layer":4},{"info":"compute binary expreesion, left_input=2128, right_input=7052, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=11976","layer":3},{"info":"compute unary expreesion, input=11976, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=11976","layer":2},{"info":"number node, value=1871","layer":4},{"info":"compute unary expreesion, input=1871, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"number node, value=2172","layer":4},{"info":"number node, value=3304","layer":4},{"info":"compute binary expreesion, left_input=2172, right_input=3304, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-1132","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-1132, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-1132","layer":2},{"info":"compute binary expreesion, left_input=11976, right_input=-1132, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=24797","layer":1},{"info":"number node, value=1027","layer":4},{"info":"compute unary expreesion, input=1027, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-985","layer":3},{"info":"number node, value=5514","layer":4},{"info":"number node, value=2015","layer":4},{"info":"compute binary expreesion, left_input=5514, right_input=2015, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=-985, 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=2949","layer":4},{"info":"number node, value=4302","layer":4},{"info":"compute binary expreesion, left_input=2949, right_input=4302, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=17083","layer":3},{"info":"number node, value=5048","layer":4},{"info":"compute unary expreesion, input=5048, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-4775","layer":3},{"info":"compute binary expreesion, left_input=17083, right_input=-4775, 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 = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=24797, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⩦⩻⨪(⪎⋱⫍C79⋷⪎⋱⫍3296))⋳⪒((⪎⋱⫍B0C⩠)+⪎⋱⫍CB1-⪎⋱⫍1672))⋝⋈⪟((⪎⋱⫍610⫩⊇)+⇶⊼⪎⋱⫍2682≹⇙⪍⪎⋱⫍BC0-(⪎⋱⫍145B⫸⊐⪎⋱⫍1C5C)≎⊠⪸(↔⪎⋱⫍23B4))=NaN","reverse_text":"NaN=((⩦⩻⨪(⪎⋱⫍C79⋷⪎⋱⫍3296))⋳⪒((⪎⋱⫍B0C⩠)+⪎⋱⫍CB1-⪎⋱⫍1672))⋝⋈⪟((⪎⋱⫍610⫩⊇)+⇶⊼⪎⋱⫍2682≹⇙⪍⪎⋱⫍BC0-(⪎⋱⫍145B⫸⊐⪎⋱⫍1C5C)≎⊠⪸(↔⪎⋱⫍23B4))","cot":[{"info":"⪎⋱⫍C79⋷⪎⋱⫍3296=⪎⋱⫍55B3","layer":3},{"info":"⩦⩻⨪⪎⋱⫍55B3=⪎⋱⫍55B3","layer":2},{"info":"⪎⋱⫍B0C⩠=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍CB1-⪎⋱⫍1672=⪎⋱⫍-691","layer":3},{"info":"⪎⋱⫍0+⪎⋱⫍-691=⪎⋱⫍-691","layer":2},{"info":"⪎⋱⫍55B3⋳⪒⪎⋱⫍-691=⪎⋱⫍B396","layer":1},{"info":"⪎⋱⫍610⫩⊇=⪎⋱⫍-5AA","layer":3},{"info":"⪎⋱⫍2682≹⇙⪍⪎⋱⫍BC0=NaN","layer":3},{"info":"⪎⋱⫍-5AA+⇶⊼NaN=NaN","layer":2},{"info":"⪎⋱⫍145B⫸⊐⪎⋱⫍1C5C=⪎⋱⫍7A11","layer":3},{"info":"↔⪎⋱⫍23B4=⪎⋱⫍-2234","layer":3},{"info":"⪎⋱⫍7A11≎⊠⪸⪎⋱⫍-2234=⪎⋱⫍52","layer":2},{"info":"NaN-⪎⋱⫍52=NaN","layer":1},{"info":"⪎⋱⫍B396⋝⋈⪟NaN=NaN","layer":0}]}
{"id":214,"expression_no_base_symbol":"($2561$⨰$1050$↙($2758$/$1954$)⫡⨏(⫓⪴(⩦⩻⨪$5777$)))⋳⪒(⊥($2677$-$4106$))∼((⊙↵-$1211$)-(+⊝⨔$1301$))","expression":"(⪎⋱⫍1220⨰⪎⋱⫍62A↙(⪎⋱⫍1342/⪎⋱⫍B74)⫡⨏(⫓⪴(⩦⩻⨪⪎⋱⫍2825)))⋳⪒(⊥(⪎⋱⫍12AC-⪎⋱⫍1B3B))∼((⊙↵-⪎⋱⫍722)-(+⊝⨔⪎⋱⫍791))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":7108,"operation_count":13,"complexity_ratio":546.7692307692307,"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":2561,"base":13},"right_expr":{"type":"numeric_atoms","value":1050,"base":13}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2758,"base":13},"right_expr":{"type":"numeric_atoms","value":1954,"base":13}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":5777,"base":13}}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2677,"base":13},"right_expr":{"type":"numeric_atoms","value":4106,"base":13}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1211,"base":13}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":1301,"base":13}}}}},"used_operators":["12rbrZMWeM","QMFrweE19q","yyfyN0ffXY","eewbuw0ToL","XhwjNDsVaA","eLxqMNBOBk","2td37pGCOC","DyGG3AbaNP","Q3PJZHRvZv","rysDP5nf3Z","oWn0xqSxBt","DhbWaqg5eL"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","fu6greOZ01","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2561","layer":4},{"info":"number node, value=1050","layer":4},{"info":"compute binary expreesion, left_input=2561, right_input=1050, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1521","layer":3},{"info":"number node, value=2758","layer":4},{"info":"number node, value=1954","layer":4},{"info":"compute binary expreesion, left_input=2758, right_input=1954, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"compute binary expreesion, left_input=1521, right_input=1, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3","layer":2},{"info":"number node, value=5777","layer":4},{"info":"compute unary expreesion, input=5777, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=5777","layer":3},{"info":"compute unary expreesion, input=5777, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=33373729","layer":2},{"info":"compute binary expreesion, left_input=-3, right_input=33373729, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=66748226","layer":1},{"info":"number node, value=2677","layer":4},{"info":"number node, value=4106","layer":4},{"info":"compute binary expreesion, left_input=2677, right_input=4106, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-1429","layer":3},{"info":"compute unary expreesion, input=-1429, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"number node, value=1211","layer":4},{"info":"compute unary expreesion, input=1211, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=1301","layer":4},{"info":"compute unary expreesion, input=1301, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=1522, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-1523","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1523, 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=66748226, right_input=nan, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍1220⨰⪎⋱⫍62A↙(⪎⋱⫍1342/⪎⋱⫍B74)⫡⨏(⫓⪴(⩦⩻⨪⪎⋱⫍2825)))⋳⪒(⊥(⪎⋱⫍12AC-⪎⋱⫍1B3B))∼((⊙↵-⪎⋱⫍722)-(+⊝⨔⪎⋱⫍791))=NaN","reverse_text":"NaN=(⪎⋱⫍1220⨰⪎⋱⫍62A↙(⪎⋱⫍1342/⪎⋱⫍B74)⫡⨏(⫓⪴(⩦⩻⨪⪎⋱⫍2825)))⋳⪒(⊥(⪎⋱⫍12AC-⪎⋱⫍1B3B))∼((⊙↵-⪎⋱⫍722)-(+⊝⨔⪎⋱⫍791))","cot":[{"info":"⪎⋱⫍1220⨰⪎⋱⫍62A=⪎⋱⫍900","layer":3},{"info":"⪎⋱⫍1342/⪎⋱⫍B74=⪎⋱⫍1","layer":3},{"info":"⪎⋱⫍900↙⪎⋱⫍1=⪎⋱⫍-3","layer":2},{"info":"⩦⩻⨪⪎⋱⫍2825=⪎⋱⫍2825","layer":3},{"info":"⫓⪴⪎⋱⫍2825=⪎⋱⫍6BB678C","layer":2},{"info":"⪎⋱⫍-3⫡⨏⪎⋱⫍6BB678C=⪎⋱⫍10AA06BC","layer":1},{"info":"⪎⋱⫍12AC-⪎⋱⫍1B3B=⪎⋱⫍-85C","layer":3},{"info":"⊥⪎⋱⫍-85C=NaN","layer":2},{"info":"⊙↵-⪎⋱⫍722=⪎⋱⫍-1","layer":3},{"info":"+⊝⨔⪎⋱⫍791=⪎⋱⫍901","layer":3},{"info":"⪎⋱⫍-1-⪎⋱⫍901=⪎⋱⫍-902","layer":2},{"info":"NaN∼⪎⋱⫍-902=NaN","layer":1},{"info":"⪎⋱⫍10AA06BC⋳⪒NaN=NaN","layer":0}]}
{"id":215,"expression_no_base_symbol":"($3404$⪛$7791$≦≮≮)↬($1447$≹⇙⪍$5676$≎⊠⪸$2043$⋝⋈⪟$2273$)⨐⩸⫘(⪝⪂⫅(($5865$⪨≂$3382$)⊘))","expression":"(⪎⋱⫍171B⪛⪎⋱⫍3714≦≮≮)↬(⪎⋱⫍874≹⇙⪍⪎⋱⫍2778≎⊠⪸⪎⋱⫍C12⋝⋈⪟⪎⋱⫍105B)⨐⩸⫘(⪝⪂⫅((⪎⋱⫍2892⪨≂⪎⋱⫍1702)⊘))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":53,"operation_count":10,"complexity_ratio":5.3,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":3404,"base":13},"right_expr":{"type":"numeric_atoms","value":7791,"base":13}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1447,"base":13},"right_expr":{"type":"numeric_atoms","value":5676,"base":13}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2043,"base":13},"right_expr":{"type":"numeric_atoms","value":2273,"base":13}}}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":5865,"base":13},"right_expr":{"type":"numeric_atoms","value":3382,"base":13}}}}},"used_operators":["fu6greOZ01","B5M0gjZbta","D4vGDi5EA2","uFcxV4UQCh","bJkvcejdHO","AHs5Up7iyr","2DDjHMKMc0","XTarYq4gQB","gu96TGCTMs","sdazOOVcIp"],"dependent_operators":["3ViojmjbAp","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3404","layer":4},{"info":"number node, value=7791","layer":4},{"info":"compute binary expreesion, left_input=3404, right_input=7791, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=3404","layer":3},{"info":"compute unary expreesion, input=3404, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-10212","layer":2},{"info":"number node, value=1447","layer":4},{"info":"number node, value=5676","layer":4},{"info":"compute binary expreesion, left_input=1447, right_input=5676, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=2043","layer":4},{"info":"number node, value=2273","layer":4},{"info":"compute binary expreesion, left_input=2043, right_input=2273, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2043","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2043, 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=-10212, 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=5865","layer":4},{"info":"number node, value=3382","layer":4},{"info":"compute binary expreesion, left_input=5865, right_input=3382, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=5068","layer":3},{"info":"compute unary expreesion, input=5068, 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 = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*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":13,"result_base":13,"text":"(⪎⋱⫍171B⪛⪎⋱⫍3714≦≮≮)↬(⪎⋱⫍874≹⇙⪍⪎⋱⫍2778≎⊠⪸⪎⋱⫍C12⋝⋈⪟⪎⋱⫍105B)⨐⩸⫘(⪝⪂⫅((⪎⋱⫍2892⪨≂⪎⋱⫍1702)⊘))=NaN","reverse_text":"NaN=(⪎⋱⫍171B⪛⪎⋱⫍3714≦≮≮)↬(⪎⋱⫍874≹⇙⪍⪎⋱⫍2778≎⊠⪸⪎⋱⫍C12⋝⋈⪟⪎⋱⫍105B)⨐⩸⫘(⪝⪂⫅((⪎⋱⫍2892⪨≂⪎⋱⫍1702)⊘))","cot":[{"info":"⪎⋱⫍171B⪛⪎⋱⫍3714=⪎⋱⫍171B","layer":3},{"info":"⪎⋱⫍171B≦≮≮=⪎⋱⫍-4857","layer":2},{"info":"⪎⋱⫍874≹⇙⪍⪎⋱⫍2778=NaN","layer":3},{"info":"⪎⋱⫍C12⋝⋈⪟⪎⋱⫍105B=⪎⋱⫍C12","layer":3},{"info":"NaN≎⊠⪸⪎⋱⫍C12=NaN","layer":2},{"info":"⪎⋱⫍-4857↬NaN=NaN","layer":1},{"info":"⪎⋱⫍2892⪨≂⪎⋱⫍1702=⪎⋱⫍23CB","layer":3},{"info":"⪎⋱⫍23CB⊘=⪎⋱⫍0","layer":2},{"info":"⪝⪂⫅⪎⋱⫍0=⪎⋱⫍0","layer":1},{"info":"NaN⨐⩸⫘⪎⋱⫍0=NaN","layer":0}]}
{"id":216,"expression_no_base_symbol":"(⊥(⇁⨣⪵$2725$))⩚⊴⇥($6181$+⇶⊼$2509$)≹⇙⪍($4884$%$6623$)⫥∨⫟((⨞⊢$1214$)⨎$2196$↬$7378$↺(↥$2214$)⋓(∂$2642$))","expression":"(⊥(⇁⨣⪵⪎⋱⫍1318))⩚⊴⇥(⪎⋱⫍2A76+⇶⊼⪎⋱⫍11B0)≹⇙⪍(⪎⋱⫍22B9%⪎⋱⫍3026)⫥∨⫟((⨞⊢⪎⋱⫍725)⨎⪎⋱⫍CCC↬⪎⋱⫍3487↺(↥⪎⋱⫍1014)⋓(∂⪎⋱⫍1283))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":225,"operation_count":14,"complexity_ratio":16.071428571428573,"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":2725,"base":13}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":6181,"base":13},"right_expr":{"type":"numeric_atoms","value":2509,"base":13}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":4884,"base":13},"right_expr":{"type":"numeric_atoms","value":6623,"base":13}}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":1214,"base":13}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2196,"base":13},"right_expr":{"type":"numeric_atoms","value":7378,"base":13}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":2214,"base":13}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":2642,"base":13}}}}},"used_operators":["KYD54nUTWz","NTOWxs364D","Q3PJZHRvZv","inkyxCbjAn","AHs5Up7iyr","TpPTUOHfaN","k8jYdgA6NY","7j4O788W3g","rJVOvQCfKK","xUOZtlo3hN","B5M0gjZbta","T2fj7uvVaJ","A8NUZmVepG","Uaa54Peajs"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","fu6greOZ01","B5M0gjZbta","dWAJyo7jo9","AHs5Up7iyr","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","k8jYdgA6NY","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2725","layer":4},{"info":"compute unary expreesion, input=2725, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"number node, value=6181","layer":4},{"info":"number node, value=2509","layer":4},{"info":"compute binary expreesion, left_input=6181, right_input=2509, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=4884","layer":4},{"info":"number node, value=6623","layer":4},{"info":"compute binary expreesion, left_input=4884, right_input=6623, op_id = k8jYdgA6NY binary_op_definition= 'None', output=4884","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4884, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":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=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=2196","layer":4},{"info":"number node, value=7378","layer":4},{"info":"compute binary expreesion, left_input=2196, right_input=7378, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=-1388, 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=2214","layer":4},{"info":"compute unary expreesion, input=2214, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=21","layer":3},{"info":"number node, value=2642","layer":4},{"info":"compute unary expreesion, input=2642, 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=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":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=nan, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⊥(⇁⨣⪵⪎⋱⫍1318))⩚⊴⇥(⪎⋱⫍2A76+⇶⊼⪎⋱⫍11B0)≹⇙⪍(⪎⋱⫍22B9%⪎⋱⫍3026)⫥∨⫟((⨞⊢⪎⋱⫍725)⨎⪎⋱⫍CCC↬⪎⋱⫍3487↺(↥⪎⋱⫍1014)⋓(∂⪎⋱⫍1283))=NaN","reverse_text":"NaN=(⊥(⇁⨣⪵⪎⋱⫍1318))⩚⊴⇥(⪎⋱⫍2A76+⇶⊼⪎⋱⫍11B0)≹⇙⪍(⪎⋱⫍22B9%⪎⋱⫍3026)⫥∨⫟((⨞⊢⪎⋱⫍725)⨎⪎⋱⫍CCC↬⪎⋱⫍3487↺(↥⪎⋱⫍1014)⋓(∂⪎⋱⫍1283))","cot":[{"info":"⇁⨣⪵⪎⋱⫍1318=NaN","layer":3},{"info":"⊥NaN=NaN","layer":2},{"info":"⪎⋱⫍2A76+⇶⊼⪎⋱⫍11B0=NaN","layer":3},{"info":"⪎⋱⫍22B9%⪎⋱⫍3026=⪎⋱⫍22B9","layer":3},{"info":"NaN≹⇙⪍⪎⋱⫍22B9=NaN","layer":2},{"info":"NaN⩚⊴⇥NaN=NaN","layer":1},{"info":"⨞⊢⪎⋱⫍725=⪎⋱⫍-82A","layer":3},{"info":"⪎⋱⫍CCC↬⪎⋱⫍3487=NaN","layer":3},{"info":"⪎⋱⫍-82A⨎NaN=NaN","layer":2},{"info":"↥⪎⋱⫍1014=⪎⋱⫍18","layer":3},{"info":"∂⪎⋱⫍1283=NaN","layer":3},{"info":"⪎⋱⫍18⋓NaN=NaN","layer":2},{"info":"NaN↺NaN=NaN","layer":1},{"info":"NaN⫥∨⫟NaN=NaN","layer":0}]}
{"id":217,"expression_no_base_symbol":"(⇁⨣⪵$1131$⊴$1196$∀⇚≩$2403$⨪↰⇹$2891$)⊴($1422$⊴$2186$∼($1080$↺$1070$)*(∥⊫$2274$)⨟⋌⩍($1069$⪘⫢$6574$))","expression":"(⇁⨣⪵⪎⋱⫍690⊴⪎⋱⫍710∀⇚≩⪎⋱⫍112B⨪↰⇹⪎⋱⫍1415)⊴(⪎⋱⫍855⊴⪎⋱⫍CC2∼(⪎⋱⫍651↺⪎⋱⫍644)*(∥⊫⪎⋱⫍105C)⨟⋌⩍(⪎⋱⫍643⪘⫢⪎⋱⫍2CB9))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":5832,"operation_count":12,"complexity_ratio":486.0,"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":1131,"base":13},"right_expr":{"type":"numeric_atoms","value":1196,"base":13}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2403,"base":13},"right_expr":{"type":"numeric_atoms","value":2891,"base":13}}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1422,"base":13},"right_expr":{"type":"numeric_atoms","value":2186,"base":13}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1080,"base":13},"right_expr":{"type":"numeric_atoms","value":1070,"base":13}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":2274,"base":13}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1069,"base":13},"right_expr":{"type":"numeric_atoms","value":6574,"base":13}}}}},"used_operators":["Nsiff2A1zJ","inkyxCbjAn","LRNGc0VcxI","tmPS8pqC7x","9HNa5Wba9A","DyGG3AbaNP","7j4O788W3g","rGHVDoGpnC","P8v4zCKN1o","oacrs7FA3X"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","B5M0gjZbta","X99M06cbEe","rJVOvQCfKK","W4YGzv6Whe","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1131","layer":4},{"info":"number node, value=1196","layer":4},{"info":"compute binary expreesion, left_input=1131, right_input=1196, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=2403","layer":4},{"info":"number node, value=2891","layer":4},{"info":"compute binary expreesion, left_input=2403, right_input=2891, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=2403","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2403, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":1},{"info":"number node, value=1422","layer":4},{"info":"number node, value=2186","layer":4},{"info":"compute binary expreesion, left_input=1422, right_input=2186, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=1080","layer":4},{"info":"number node, value=1070","layer":4},{"info":"compute binary expreesion, left_input=1080, right_input=1070, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1070","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1070, 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=2274","layer":4},{"info":"compute unary expreesion, input=2274, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=3142","layer":3},{"info":"number node, value=1069","layer":4},{"info":"number node, value=6574","layer":4},{"info":"compute binary expreesion, left_input=1069, right_input=6574, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2014","layer":3},{"info":"compute binary expreesion, left_input=3142, right_input=2014, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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 = 9HNa5Wba9A binary_op_definition= 'None', 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":13,"result_base":13,"text":"(⇁⨣⪵⪎⋱⫍690⊴⪎⋱⫍710∀⇚≩⪎⋱⫍112B⨪↰⇹⪎⋱⫍1415)⊴(⪎⋱⫍855⊴⪎⋱⫍CC2∼(⪎⋱⫍651↺⪎⋱⫍644)*(∥⊫⪎⋱⫍105C)⨟⋌⩍(⪎⋱⫍643⪘⫢⪎⋱⫍2CB9))=NaN","reverse_text":"NaN=(⇁⨣⪵⪎⋱⫍690⊴⪎⋱⫍710∀⇚≩⪎⋱⫍112B⨪↰⇹⪎⋱⫍1415)⊴(⪎⋱⫍855⊴⪎⋱⫍CC2∼(⪎⋱⫍651↺⪎⋱⫍644)*(∥⊫⪎⋱⫍105C)⨟⋌⩍(⪎⋱⫍643⪘⫢⪎⋱⫍2CB9))","cot":[{"info":"⪎⋱⫍690⊴⪎⋱⫍710=NaN","layer":3},{"info":"⪎⋱⫍112B⨪↰⇹⪎⋱⫍1415=⪎⋱⫍112B","layer":3},{"info":"NaN∀⇚≩⪎⋱⫍112B=NaN","layer":2},{"info":"⇁⨣⪵NaN=NaN","layer":1},{"info":"⪎⋱⫍855⊴⪎⋱⫍CC2=NaN","layer":3},{"info":"⪎⋱⫍651↺⪎⋱⫍644=⪎⋱⫍644","layer":3},{"info":"NaN∼⪎⋱⫍644=NaN","layer":2},{"info":"∥⊫⪎⋱⫍105C=⪎⋱⫍1579","layer":3},{"info":"⪎⋱⫍643⪘⫢⪎⋱⫍2CB9=⪎⋱⫍BBC","layer":3},{"info":"⪎⋱⫍1579⨟⋌⩍⪎⋱⫍BBC=NaN","layer":2},{"info":"NaN*NaN=NaN","layer":1},{"info":"NaN⊴NaN=NaN","layer":0}]}
{"id":218,"expression_no_base_symbol":"(⇁⨣⪵($7400$⪄$1196$/$3272$⨎$3178$))⪘⫢((($3945$⊉≛↸$2889$)⪠⩆⊳)⪠⩆⊳)","expression":"(⇁⨣⪵(⪎⋱⫍34A3⪄⪎⋱⫍710/⪎⋱⫍1649⨎⪎⋱⫍15A6))⪘⫢(((⪎⋱⫍1A46⊉≛↸⪎⋱⫍1413)⪠⩆⊳)⪠⩆⊳)","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":464,"operation_count":8,"complexity_ratio":58.0,"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":7400,"base":13},"right_expr":{"type":"numeric_atoms","value":1196,"base":13}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":3272,"base":13},"right_expr":{"type":"numeric_atoms","value":3178,"base":13}}}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":3945,"base":13},"right_expr":{"type":"numeric_atoms","value":2889,"base":13}}}}},"used_operators":["oacrs7FA3X","inkyxCbjAn","XhwjNDsVaA","SUmda5xLS4","rJVOvQCfKK","JLbD19bQDL","DZ8iAZOCBD"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","B5M0gjZbta","rysDP5nf3Z","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=7400","layer":4},{"info":"number node, value=1196","layer":4},{"info":"compute binary expreesion, left_input=7400, right_input=1196, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-1096073","layer":3},{"info":"number node, value=3272","layer":4},{"info":"number node, value=3178","layer":4},{"info":"compute binary expreesion, left_input=3272, right_input=3178, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3178","layer":3},{"info":"compute binary expreesion, left_input=-1096073, right_input=3178, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-345","layer":2},{"info":"compute unary expreesion, input=-345, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":1},{"info":"number node, value=3945","layer":4},{"info":"number node, value=2889","layer":4},{"info":"compute binary expreesion, left_input=3945, right_input=2889, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=7890","layer":3},{"info":"compute unary expreesion, input=7890, 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 = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 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":13,"result_base":13,"text":"(⇁⨣⪵(⪎⋱⫍34A3⪄⪎⋱⫍710/⪎⋱⫍1649⨎⪎⋱⫍15A6))⪘⫢(((⪎⋱⫍1A46⊉≛↸⪎⋱⫍1413)⪠⩆⊳)⪠⩆⊳)=NaN","reverse_text":"NaN=(⇁⨣⪵(⪎⋱⫍34A3⪄⪎⋱⫍710/⪎⋱⫍1649⨎⪎⋱⫍15A6))⪘⫢(((⪎⋱⫍1A46⊉≛↸⪎⋱⫍1413)⪠⩆⊳)⪠⩆⊳)","cot":[{"info":"⪎⋱⫍34A3⪄⪎⋱⫍710=⪎⋱⫍-2C4B84","layer":3},{"info":"⪎⋱⫍1649⨎⪎⋱⫍15A6=⪎⋱⫍15A6","layer":3},{"info":"⪎⋱⫍-2C4B84/⪎⋱⫍15A6=⪎⋱⫍-207","layer":2},{"info":"⇁⨣⪵⪎⋱⫍-207=NaN","layer":1},{"info":"⪎⋱⫍1A46⊉≛↸⪎⋱⫍1413=⪎⋱⫍378C","layer":3},{"info":"⪎⋱⫍378C⪠⩆⊳=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍0⪠⩆⊳=⪎⋱⫍0","layer":1},{"info":"NaN⪘⫢⪎⋱⫍0=NaN","layer":0}]}
{"id":219,"expression_no_base_symbol":"($1969$⩨$1310$⩨(⫓⪴$5160$)⩨($7591$⋓$1377$⊭↱($2807$⊦⊿)))⫸⊐(⊄⩳↩(($1760$*$3882$)⫥∨⫟($3424$⨵⪆$8357$)))","expression":"(⪎⋱⫍B86⩨⪎⋱⫍79A⩨(⫓⪴⪎⋱⫍246C)⩨(⪎⋱⫍35BC⋓⪎⋱⫍81C⊭↱(⪎⋱⫍137C⊦⊿)))⫸⊐(⊄⩳↩((⪎⋱⫍A55*⪎⋱⫍19C8)⫥∨⫟(⪎⋱⫍1735⨵⪆⪎⋱⫍3A5B)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":7119,"operation_count":12,"complexity_ratio":593.25,"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":1969,"base":13},"right_expr":{"type":"numeric_atoms","value":1310,"base":13}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":5160,"base":13}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":7591,"base":13},"right_expr":{"type":"numeric_atoms","value":1377,"base":13}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":2807,"base":13}}}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1760,"base":13},"right_expr":{"type":"numeric_atoms","value":3882,"base":13}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":3424,"base":13},"right_expr":{"type":"numeric_atoms","value":8357,"base":13}}}}},"used_operators":["mqXw5SEYmG","2DlMacCsIx","eLxqMNBOBk","COABgblf1C","T2fj7uvVaJ","14qkJME0vr","8w2t5hMYqp","KYD54nUTWz","9HNa5Wba9A","2DQ55sFlQl"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1969","layer":4},{"info":"number node, value=1310","layer":4},{"info":"compute binary expreesion, left_input=1969, right_input=1310, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=5160","layer":4},{"info":"compute unary expreesion, input=5160, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=26625600","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=26625600, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":2},{"info":"number node, value=7591","layer":4},{"info":"number node, value=1377","layer":4},{"info":"compute binary expreesion, left_input=7591, right_input=1377, op_id = T2fj7uvVaJ binary_op_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=2807","layer":4},{"info":"compute unary expreesion, input=2807, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-8500","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-8500, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-16995","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-16995, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":1},{"info":"number node, value=1760","layer":4},{"info":"number node, value=3882","layer":4},{"info":"compute binary expreesion, left_input=1760, right_input=3882, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=6832320","layer":3},{"info":"number node, value=3424","layer":4},{"info":"number node, value=8357","layer":4},{"info":"compute binary expreesion, left_input=3424, right_input=8357, 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=6832320, right_input=160, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=nan","layer":1},{"info":"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":13,"result_base":13,"text":"(⪎⋱⫍B86⩨⪎⋱⫍79A⩨(⫓⪴⪎⋱⫍246C)⩨(⪎⋱⫍35BC⋓⪎⋱⫍81C⊭↱(⪎⋱⫍137C⊦⊿)))⫸⊐(⊄⩳↩((⪎⋱⫍A55*⪎⋱⫍19C8)⫥∨⫟(⪎⋱⫍1735⨵⪆⪎⋱⫍3A5B)))=NaN","reverse_text":"NaN=(⪎⋱⫍B86⩨⪎⋱⫍79A⩨(⫓⪴⪎⋱⫍246C)⩨(⪎⋱⫍35BC⋓⪎⋱⫍81C⊭↱(⪎⋱⫍137C⊦⊿)))⫸⊐(⊄⩳↩((⪎⋱⫍A55*⪎⋱⫍19C8)⫥∨⫟(⪎⋱⫍1735⨵⪆⪎⋱⫍3A5B)))","cot":[{"info":"⪎⋱⫍B86⩨⪎⋱⫍79A=⪎⋱⫍0","layer":3},{"info":"⫓⪴⪎⋱⫍246C=⪎⋱⫍56930C1","layer":3},{"info":"⪎⋱⫍0⩨⪎⋱⫍56930C1=NaN","layer":2},{"info":"⪎⋱⫍35BC⋓⪎⋱⫍81C=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍137C⊦⊿=⪎⋱⫍-3B3B","layer":3},{"info":"⪎⋱⫍0⊭↱⪎⋱⫍-3B3B=⪎⋱⫍-7974","layer":2},{"info":"NaN⩨⪎⋱⫍-7974=NaN","layer":1},{"info":"⪎⋱⫍A55*⪎⋱⫍19C8=⪎⋱⫍1552AC1","layer":3},{"info":"⪎⋱⫍1735⨵⪆⪎⋱⫍3A5B=⪎⋱⫍C4","layer":3},{"info":"⪎⋱⫍1552AC1⫥∨⫟⪎⋱⫍C4=NaN","layer":2},{"info":"⊄⩳↩NaN=NaN","layer":1},{"info":"NaN⫸⊐NaN=NaN","layer":0}]}
{"id":220,"expression_no_base_symbol":"⩦⩻⨪((≉$1514$)⊉≛↸($6319$/$1202$))⩷∴(↽≂$4462$)∑⇟⊟($1949$⨁⊸⫻)","expression":"⩦⩻⨪((≉⪎⋱⫍8C6)⊉≛↸(⪎⋱⫍2B51/⪎⋱⫍716))⩷∴(↽≂⪎⋱⫍2053)∑⇟⊟(⪎⋱⫍B6C⨁⊸⫻)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":23,"operation_count":8,"complexity_ratio":2.875,"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":1514,"base":13}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":6319,"base":13},"right_expr":{"type":"numeric_atoms","value":1202,"base":13}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":4462,"base":13}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":1949,"base":13}}}}},"used_operators":["2td37pGCOC","9FxExcQeMw","DZ8iAZOCBD","e1ybzncUwg","XhwjNDsVaA","U7g4x0WXJJ","u6S6b8DprG","glklzrTFfD"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1514","layer":4},{"info":"compute unary expreesion, input=1514, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=2045","layer":3},{"info":"number node, value=6319","layer":4},{"info":"number node, value=1202","layer":4},{"info":"compute binary expreesion, left_input=6319, right_input=1202, op_id = XhwjNDsVaA binary_op_definition= 'None', output=5","layer":3},{"info":"compute binary expreesion, left_input=2045, right_input=5, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=4090","layer":2},{"info":"number node, value=4462","layer":4},{"info":"compute unary expreesion, input=4462, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-8924","layer":3},{"info":"number node, value=1949","layer":4},{"info":"compute unary expreesion, input=1949, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=1949","layer":3},{"info":"compute binary expreesion, left_input=-8924, right_input=1949, 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=4090, 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 = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⩦⩻⨪((≉⪎⋱⫍8C6)⊉≛↸(⪎⋱⫍2B51/⪎⋱⫍716))⩷∴(↽≂⪎⋱⫍2053)∑⇟⊟(⪎⋱⫍B6C⨁⊸⫻)=NaN","reverse_text":"NaN=⩦⩻⨪((≉⪎⋱⫍8C6)⊉≛↸(⪎⋱⫍2B51/⪎⋱⫍716))⩷∴(↽≂⪎⋱⫍2053)∑⇟⊟(⪎⋱⫍B6C⨁⊸⫻)","cot":[{"info":"≉⪎⋱⫍8C6=⪎⋱⫍C14","layer":3},{"info":"⪎⋱⫍2B51/⪎⋱⫍716=⪎⋱⫍5","layer":3},{"info":"⪎⋱⫍C14⊉≛↸⪎⋱⫍5=⪎⋱⫍1B28","layer":2},{"info":"↽≂⪎⋱⫍2053=⪎⋱⫍-40A6","layer":3},{"info":"⪎⋱⫍B6C⨁⊸⫻=⪎⋱⫍B6C","layer":3},{"info":"⪎⋱⫍-40A6∑⇟⊟⪎⋱⫍B6C=NaN","layer":2},{"info":"⪎⋱⫍1B28⩷∴NaN=NaN","layer":1},{"info":"⩦⩻⨪NaN=NaN","layer":0}]}
{"id":221,"expression_no_base_symbol":"⪲⇎(∥⊫(⨵≀≌($2188$≣⋋)))","expression":"⪲⇎(∥⊫(⨵≀≌(⪎⋱⫍CC4≣⋋)))","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":526,"operation_count":4,"complexity_ratio":131.5,"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":2188,"base":13}}}}},"used_operators":["XPYlsWDdGa","P8v4zCKN1o","srAu1WTS94","Tcnh7f0tEr"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A"],"result":"⪎⋱⫍A37","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2188","layer":4},{"info":"compute unary expreesion, input=2188, 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 = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=868","layer":1},{"info":"compute unary expreesion, input=868, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=1736","layer":0}],"base":13,"result_base":13,"text":"⪲⇎(∥⊫(⨵≀≌(⪎⋱⫍CC4≣⋋)))=⪎⋱⫍A37","reverse_text":"⪎⋱⫍A37=⪲⇎(∥⊫(⨵≀≌(⪎⋱⫍CC4≣⋋)))","cot":[{"info":"⪎⋱⫍CC4≣⋋=⪎⋱⫍0","layer":3},{"info":"⨵≀≌⪎⋱⫍0=⪎⋱⫍0","layer":2},{"info":"∥⊫⪎⋱⫍0=⪎⋱⫍51A","layer":1},{"info":"⪲⇎⪎⋱⫍51A=⪎⋱⫍A37","layer":0}]}
{"id":222,"expression_no_base_symbol":"(($1189$*$1858$⨸⪁$1012$⨐⩸⫘$2193$)⪐)/($5084$⨳⩥⨓$1061$⩨$6568$≭$1476$)≎⊠⪸(($3142$⊠≄⫣)⊉≛↸$3855$⊴$7515$)","expression":"((⪎⋱⫍706*⪎⋱⫍ACC⨸⪁⪎⋱⫍5CB⨐⩸⫘⪎⋱⫍CC9)⪐)/(⪎⋱⫍2411⨳⩥⨓⪎⋱⫍638⩨⪎⋱⫍2CB3≭⪎⋱⫍897)≎⊠⪸((⪎⋱⫍1579⊠≄⫣)⊉≛↸⪎⋱⫍19A7⊴⪎⋱⫍3561)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":8742,"operation_count":12,"complexity_ratio":728.5,"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":1189,"base":13},"right_expr":{"type":"numeric_atoms","value":1858,"base":13}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1012,"base":13},"right_expr":{"type":"numeric_atoms","value":2193,"base":13}}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":5084,"base":13},"right_expr":{"type":"numeric_atoms","value":1061,"base":13}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":6568,"base":13},"right_expr":{"type":"numeric_atoms","value":1476,"base":13}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":3142,"base":13}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":3855,"base":13},"right_expr":{"type":"numeric_atoms","value":7515,"base":13}}}}},"used_operators":["XhwjNDsVaA","eH2TOUuTDT","g55IO6H4Gj","9HNa5Wba9A","fu6greOZ01","bJkvcejdHO","2DlMacCsIx","nCS4ZIUYfx","rxpJgHHUmx","DZ8iAZOCBD","DIvbN7qnHd","Nsiff2A1zJ"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","3ViojmjbAp","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","rysDP5nf3Z","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1189","layer":4},{"info":"number node, value=1858","layer":4},{"info":"compute binary expreesion, left_input=1189, right_input=1858, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=2209162","layer":3},{"info":"number node, value=1012","layer":4},{"info":"number node, value=2193","layer":4},{"info":"compute binary expreesion, left_input=1012, right_input=2193, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=2209162, 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 = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=nan","layer":1},{"info":"number node, value=5084","layer":4},{"info":"number node, value=1061","layer":4},{"info":"compute binary expreesion, left_input=5084, right_input=1061, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-4023","layer":3},{"info":"number node, value=6568","layer":4},{"info":"number node, value=1476","layer":4},{"info":"compute binary expreesion, left_input=6568, right_input=1476, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=-4023, 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=3142","layer":4},{"info":"compute unary expreesion, input=3142, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"number node, value=3855","layer":4},{"info":"number node, value=7515","layer":4},{"info":"compute binary expreesion, left_input=3855, right_input=7515, 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 = 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=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=nan, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍706*⪎⋱⫍ACC⨸⪁⪎⋱⫍5CB⨐⩸⫘⪎⋱⫍CC9)⪐)/(⪎⋱⫍2411⨳⩥⨓⪎⋱⫍638⩨⪎⋱⫍2CB3≭⪎⋱⫍897)≎⊠⪸((⪎⋱⫍1579⊠≄⫣)⊉≛↸⪎⋱⫍19A7⊴⪎⋱⫍3561)=NaN","reverse_text":"NaN=((⪎⋱⫍706*⪎⋱⫍ACC⨸⪁⪎⋱⫍5CB⨐⩸⫘⪎⋱⫍CC9)⪐)/(⪎⋱⫍2411⨳⩥⨓⪎⋱⫍638⩨⪎⋱⫍2CB3≭⪎⋱⫍897)≎⊠⪸((⪎⋱⫍1579⊠≄⫣)⊉≛↸⪎⋱⫍19A7⊴⪎⋱⫍3561)","cot":[{"info":"⪎⋱⫍706*⪎⋱⫍ACC=⪎⋱⫍5C46C7","layer":3},{"info":"⪎⋱⫍5CB⨐⩸⫘⪎⋱⫍CC9=NaN","layer":3},{"info":"⪎⋱⫍5C46C7⨸⪁NaN=NaN","layer":2},{"info":"NaN⪐=NaN","layer":1},{"info":"⪎⋱⫍2411⨳⩥⨓⪎⋱⫍638=⪎⋱⫍-1AA6","layer":3},{"info":"⪎⋱⫍2CB3≭⪎⋱⫍897=NaN","layer":3},{"info":"⪎⋱⫍-1AA6⩨NaN=NaN","layer":2},{"info":"⪎⋱⫍1579⊠≄⫣=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍19A7⊴⪎⋱⫍3561=NaN","layer":3},{"info":"⪎⋱⫍0⊉≛↸NaN=⪎⋱⫍0","layer":2},{"info":"NaN≎⊠⪸⪎⋱⫍0=NaN","layer":1},{"info":"NaN/NaN=NaN","layer":0}]}
{"id":223,"expression_no_base_symbol":"(($1032$⊭↱$5350$⊉≛↸$1261$⨽$2859$)⨰(($1128$⊦⊿)⩤))⇷((($1355$⪨≂$5954$)∸)⊦⊿)","expression":"((⪎⋱⫍615⊭↱⪎⋱⫍2587⊉≛↸⪎⋱⫍760⨽⪎⋱⫍13BC)⨰((⪎⋱⫍68A⊦⊿)⩤))⇷(((⪎⋱⫍803⪨≂⪎⋱⫍2930)∸)⊦⊿)","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":195093,"operation_count":10,"complexity_ratio":19509.3,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1032,"base":13},"right_expr":{"type":"numeric_atoms","value":5350,"base":13}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1261,"base":13},"right_expr":{"type":"numeric_atoms","value":2859,"base":13}}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":1128,"base":13}}}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1355,"base":13},"right_expr":{"type":"numeric_atoms","value":5954,"base":13}}}}},"used_operators":["mp7IySMOzn","eewbuw0ToL","DZ8iAZOCBD","COABgblf1C","8HhzD0ZcuI","Z2TMIBDE3Q","14qkJME0vr","o20kRiQErp","sdazOOVcIp"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1032","layer":4},{"info":"number node, value=5350","layer":4},{"info":"compute binary expreesion, left_input=1032, right_input=5350, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=8641","layer":3},{"info":"number node, value=1261","layer":4},{"info":"number node, value=2859","layer":4},{"info":"compute binary expreesion, left_input=1261, right_input=2859, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-4777626","layer":3},{"info":"compute binary expreesion, left_input=8641, right_input=-4777626, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=17282","layer":2},{"info":"number node, value=1128","layer":4},{"info":"compute unary expreesion, input=1128, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-3463","layer":3},{"info":"compute unary expreesion, input=-3463, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=3463","layer":2},{"info":"compute binary expreesion, left_input=17282, right_input=3463, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=13829","layer":1},{"info":"number node, value=1355","layer":4},{"info":"number node, value=5954","layer":4},{"info":"compute binary expreesion, left_input=1355, right_input=5954, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-9096","layer":3},{"info":"compute unary expreesion, input=-9096, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":2},{"info":"compute unary expreesion, input=177, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-610","layer":1},{"info":"compute binary expreesion, left_input=13829, right_input=-610, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍615⊭↱⪎⋱⫍2587⊉≛↸⪎⋱⫍760⨽⪎⋱⫍13BC)⨰((⪎⋱⫍68A⊦⊿)⩤))⇷(((⪎⋱⫍803⪨≂⪎⋱⫍2930)∸)⊦⊿)=NaN","reverse_text":"NaN=((⪎⋱⫍615⊭↱⪎⋱⫍2587⊉≛↸⪎⋱⫍760⨽⪎⋱⫍13BC)⨰((⪎⋱⫍68A⊦⊿)⩤))⇷(((⪎⋱⫍803⪨≂⪎⋱⫍2930)∸)⊦⊿)","cot":[{"info":"⪎⋱⫍615⊭↱⪎⋱⫍2587=⪎⋱⫍3C19","layer":3},{"info":"⪎⋱⫍760⨽⪎⋱⫍13BC=⪎⋱⫍-CB37C9","layer":3},{"info":"⪎⋱⫍3C19⊉≛↸⪎⋱⫍-CB37C9=⪎⋱⫍7B35","layer":2},{"info":"⪎⋱⫍68A⊦⊿=⪎⋱⫍-1765","layer":3},{"info":"⪎⋱⫍-1765⩤=⪎⋱⫍1765","layer":2},{"info":"⪎⋱⫍7B35⨰⪎⋱⫍1765=⪎⋱⫍63AA","layer":1},{"info":"⪎⋱⫍803⪨≂⪎⋱⫍2930=⪎⋱⫍-41A9","layer":3},{"info":"⪎⋱⫍-41A9∸=⪎⋱⫍108","layer":2},{"info":"⪎⋱⫍108⊦⊿=⪎⋱⫍-37C","layer":1},{"info":"⪎⋱⫍63AA⇷⪎⋱⫍-37C=NaN","layer":0}]}
{"id":224,"expression_no_base_symbol":"(($1957$≭$1446$)≹⇙⪍($2324$*$3284$)%($4142$≎⊠⪸$4697$)∼($1033$⫥∨⫟$2933$))⨸⪁($3130$∀⇚≩$1000$⫥∨⫟(∂$2498$)⩨(⋗⩬⋾(⫛⫱⨽$1003$)))","expression":"((⪎⋱⫍B77≭⪎⋱⫍873)≹⇙⪍(⪎⋱⫍109A*⪎⋱⫍1658)%(⪎⋱⫍1B68≎⊠⪸⪎⋱⫍21A4)∼(⪎⋱⫍616⫥∨⫟⪎⋱⫍1448))⨸⪁(⪎⋱⫍156A∀⇚≩⪎⋱⫍5BC⫥∨⫟(∂⪎⋱⫍11A2)⩨(⋗⩬⋾(⫛⫱⨽⪎⋱⫍5C2)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":47275,"operation_count":14,"complexity_ratio":3376.785714285714,"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":1957,"base":13},"right_expr":{"type":"numeric_atoms","value":1446,"base":13}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2324,"base":13},"right_expr":{"type":"numeric_atoms","value":3284,"base":13}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":4142,"base":13},"right_expr":{"type":"numeric_atoms","value":4697,"base":13}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1033,"base":13},"right_expr":{"type":"numeric_atoms","value":2933,"base":13}}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":3130,"base":13},"right_expr":{"type":"numeric_atoms","value":1000,"base":13}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":2498,"base":13}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":1003,"base":13}}}}},"used_operators":["g55IO6H4Gj","k8jYdgA6NY","AHs5Up7iyr","rxpJgHHUmx","9HNa5Wba9A","DyGG3AbaNP","bJkvcejdHO","KYD54nUTWz","2DlMacCsIx","LRNGc0VcxI","Uaa54Peajs","DpFCA1CohY","DlLNRPXxWL"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","AHs5Up7iyr","W4YGzv6Whe","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","8HhzD0ZcuI","rGHVDoGpnC","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","X99M06cbEe","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1957","layer":4},{"info":"number node, value=1446","layer":4},{"info":"compute binary expreesion, left_input=1957, right_input=1446, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=2324","layer":4},{"info":"number node, value=3284","layer":4},{"info":"compute binary expreesion, left_input=2324, right_input=3284, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=7632016","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=7632016, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=4142","layer":4},{"info":"number node, value=4697","layer":4},{"info":"compute binary expreesion, left_input=4142, right_input=4697, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1072305","layer":3},{"info":"number node, value=1033","layer":4},{"info":"number node, value=2933","layer":4},{"info":"compute binary expreesion, left_input=1033, right_input=2933, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1072305, right_input=nan, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=3130","layer":4},{"info":"number node, value=1000","layer":4},{"info":"compute binary expreesion, left_input=3130, right_input=1000, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=2498","layer":4},{"info":"compute unary expreesion, input=2498, 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 = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=1003","layer":4},{"info":"compute unary expreesion, input=1003, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', 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=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 = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍B77≭⪎⋱⫍873)≹⇙⪍(⪎⋱⫍109A*⪎⋱⫍1658)%(⪎⋱⫍1B68≎⊠⪸⪎⋱⫍21A4)∼(⪎⋱⫍616⫥∨⫟⪎⋱⫍1448))⨸⪁(⪎⋱⫍156A∀⇚≩⪎⋱⫍5BC⫥∨⫟(∂⪎⋱⫍11A2)⩨(⋗⩬⋾(⫛⫱⨽⪎⋱⫍5C2)))=NaN","reverse_text":"NaN=((⪎⋱⫍B77≭⪎⋱⫍873)≹⇙⪍(⪎⋱⫍109A*⪎⋱⫍1658)%(⪎⋱⫍1B68≎⊠⪸⪎⋱⫍21A4)∼(⪎⋱⫍616⫥∨⫟⪎⋱⫍1448))⨸⪁(⪎⋱⫍156A∀⇚≩⪎⋱⫍5BC⫥∨⫟(∂⪎⋱⫍11A2)⩨(⋗⩬⋾(⫛⫱⨽⪎⋱⫍5C2)))","cot":[{"info":"⪎⋱⫍B77≭⪎⋱⫍873=NaN","layer":3},{"info":"⪎⋱⫍109A*⪎⋱⫍1658=⪎⋱⫍1772AB2","layer":3},{"info":"NaN≹⇙⪍⪎⋱⫍1772AB2=NaN","layer":2},{"info":"⪎⋱⫍1B68≎⊠⪸⪎⋱⫍21A4=⪎⋱⫍2B7100","layer":3},{"info":"⪎⋱⫍616⫥∨⫟⪎⋱⫍1448=NaN","layer":3},{"info":"⪎⋱⫍2B7100∼NaN=NaN","layer":2},{"info":"NaN%NaN=NaN","layer":1},{"info":"⪎⋱⫍156A∀⇚≩⪎⋱⫍5BC=NaN","layer":3},{"info":"∂⪎⋱⫍11A2=NaN","layer":3},{"info":"NaN⫥∨⫟NaN=NaN","layer":2},{"info":"⫛⫱⨽⪎⋱⫍5C2=⪎⋱⫍0","layer":3},{"info":"⋗⩬⋾⪎⋱⫍0=⪎⋱⫍0","layer":2},{"info":"NaN⩨⪎⋱⫍0=NaN","layer":1},{"info":"NaN⨸⪁NaN=NaN","layer":0}]}
{"id":225,"expression_no_base_symbol":"(⋗⩬⋾($1695$⇋≉)≎⊠⪸($5578$≣⋋))⋷($2767$⨓$1831$)⪛($6318$∧)∑⇟⊟(($2564$⊪)⩷∴($1334$≭$4284$))","expression":"(⋗⩬⋾(⪎⋱⫍A05⇋≉)≎⊠⪸(⪎⋱⫍2701≣⋋))⋷(⪎⋱⫍134B⨓⪎⋱⫍AAB)⪛(⪎⋱⫍2B50∧)∑⇟⊟((⪎⋱⫍1223⊪)⩷∴(⪎⋱⫍7B8≭⪎⋱⫍1C47))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2680,"operation_count":12,"complexity_ratio":223.33333333333334,"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":1695,"base":13}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":5578,"base":13}}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2767,"base":13},"right_expr":{"type":"numeric_atoms","value":1831,"base":13}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":6318,"base":13}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":2564,"base":13}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1334,"base":13},"right_expr":{"type":"numeric_atoms","value":4284,"base":13}}}}},"used_operators":["23Mk6UjR3U","DpFCA1CohY","bJkvcejdHO","XIabStNQrY","Tcnh7f0tEr","U7g4x0WXJJ","uFcxV4UQCh","3ViojmjbAp","z63VuFQld9","9FxExcQeMw","zVYPLywUTj","rxpJgHHUmx"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","AHs5Up7iyr"],"result":"⪎⋱⫍10A0304","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1695","layer":4},{"info":"compute unary expreesion, input=1695, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=3292","layer":3},{"info":"number node, value=5578","layer":4},{"info":"compute unary expreesion, input=5578, 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=3292, right_input=0, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=852155","layer":2},{"info":"compute unary expreesion, input=852155, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-2556465","layer":1},{"info":"number node, value=2767","layer":4},{"info":"number node, value=1831","layer":4},{"info":"compute binary expreesion, left_input=2767, right_input=1831, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1834","layer":3},{"info":"number node, value=6318","layer":4},{"info":"compute unary expreesion, input=6318, 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=-1834, 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=2564","layer":4},{"info":"compute unary expreesion, input=2564, 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=1334","layer":4},{"info":"number node, value=4284","layer":4},{"info":"compute binary expreesion, left_input=1334, right_input=4284, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-2556465, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=5112930","layer":0}],"base":13,"result_base":13,"text":"(⋗⩬⋾(⪎⋱⫍A05⇋≉)≎⊠⪸(⪎⋱⫍2701≣⋋))⋷(⪎⋱⫍134B⨓⪎⋱⫍AAB)⪛(⪎⋱⫍2B50∧)∑⇟⊟((⪎⋱⫍1223⊪)⩷∴(⪎⋱⫍7B8≭⪎⋱⫍1C47))=⪎⋱⫍10A0304","reverse_text":"⪎⋱⫍10A0304=(⋗⩬⋾(⪎⋱⫍A05⇋≉)≎⊠⪸(⪎⋱⫍2701≣⋋))⋷(⪎⋱⫍134B⨓⪎⋱⫍AAB)⪛(⪎⋱⫍2B50∧)∑⇟⊟((⪎⋱⫍1223⊪)⩷∴(⪎⋱⫍7B8≭⪎⋱⫍1C47))","cot":[{"info":"⪎⋱⫍A05⇋≉=⪎⋱⫍1663","layer":3},{"info":"⪎⋱⫍2701≣⋋=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍1663≎⊠⪸⪎⋱⫍0=⪎⋱⫍23AB45","layer":2},{"info":"⋗⩬⋾⪎⋱⫍23AB45=⪎⋱⫍-6B6802","layer":1},{"info":"⪎⋱⫍134B⨓⪎⋱⫍AAB=⪎⋱⫍-AB1","layer":3},{"info":"⪎⋱⫍2B50∧=NaN","layer":3},{"info":"⪎⋱⫍-AB1⪛NaN=NaN","layer":2},{"info":"⪎⋱⫍1223⊪=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍7B8≭⪎⋱⫍1C47=NaN","layer":3},{"info":"⪎⋱⫍0⩷∴NaN=NaN","layer":2},{"info":"NaN∑⇟⊟NaN=NaN","layer":1},{"info":"⪎⋱⫍-6B6802⋷NaN=⪎⋱⫍10A0304","layer":0}]}
{"id":226,"expression_no_base_symbol":"(((⊙↵-$4800$)⪨≂$5914$⨓$2075$)↙(↽≂$2829$)⩷∴(⨑⩽⪐$3537$))≹⇙⪍((∂($1110$↪⪝))↙(⨵≀≌$4409$)⇷($6898$⋫))","expression":"(((⊙↵-⪎⋱⫍2253)⪨≂⪎⋱⫍28CC⨓⪎⋱⫍C38)↙(↽≂⪎⋱⫍1398)⩷∴(⨑⩽⪐⪎⋱⫍17C1))≹⇙⪍((∂(⪎⋱⫍675↪⪝))↙(⨵≀≌⪎⋱⫍2012)⇷(⪎⋱⫍31A8⋫))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":204556,"operation_count":14,"complexity_ratio":14611.142857142857,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":4800,"base":13}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":5914,"base":13},"right_expr":{"type":"numeric_atoms","value":2075,"base":13}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":2829,"base":13}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":3537,"base":13}}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":1110,"base":13}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":4409,"base":13}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":6898,"base":13}}}}},"used_operators":["AHs5Up7iyr","yyfyN0ffXY","sdazOOVcIp","oWn0xqSxBt","3ViojmjbAp","9FxExcQeMw","u6S6b8DprG","AF7qkfDlqP","Uaa54Peajs","l07mrZUIn9","mp7IySMOzn","srAu1WTS94","JL8yIekQnl"],"dependent_operators":["dWAJyo7jo9","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","9HNa5Wba9A","2DDjHMKMc0","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","tmPS8pqC7x"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4800","layer":4},{"info":"compute unary expreesion, input=4800, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=5914","layer":4},{"info":"number node, value=2075","layer":4},{"info":"compute binary expreesion, left_input=5914, right_input=2075, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2078","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=-2078, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=4256","layer":2},{"info":"number node, value=2829","layer":4},{"info":"compute unary expreesion, input=2829, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-5658","layer":3},{"info":"number node, value=3537","layer":4},{"info":"compute unary expreesion, input=3537, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-3264","layer":3},{"info":"compute binary expreesion, left_input=-5658, right_input=-3264, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-4820","layer":2},{"info":"compute binary expreesion, left_input=4256, right_input=-4820, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=14460","layer":1},{"info":"number node, value=1110","layer":4},{"info":"compute unary expreesion, input=1110, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=67912020","layer":3},{"info":"compute unary expreesion, input=67912020, 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=4409","layer":4},{"info":"compute unary expreesion, input=4409, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-13227","layer":3},{"info":"number node, value=6898","layer":4},{"info":"compute unary expreesion, input=6898, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=6898","layer":3},{"info":"compute binary expreesion, left_input=-13227, right_input=6898, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=13796","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=13796, 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=14460, 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":13,"result_base":13,"text":"(((⊙↵-⪎⋱⫍2253)⪨≂⪎⋱⫍28CC⨓⪎⋱⫍C38)↙(↽≂⪎⋱⫍1398)⩷∴(⨑⩽⪐⪎⋱⫍17C1))≹⇙⪍((∂(⪎⋱⫍675↪⪝))↙(⨵≀≌⪎⋱⫍2012)⇷(⪎⋱⫍31A8⋫))=NaN","reverse_text":"NaN=(((⊙↵-⪎⋱⫍2253)⪨≂⪎⋱⫍28CC⨓⪎⋱⫍C38)↙(↽≂⪎⋱⫍1398)⩷∴(⨑⩽⪐⪎⋱⫍17C1))≹⇙⪍((∂(⪎⋱⫍675↪⪝))↙(⨵≀≌⪎⋱⫍2012)⇷(⪎⋱⫍31A8⋫))","cot":[{"info":"⊙↵-⪎⋱⫍2253=⪎⋱⫍-1","layer":3},{"info":"⪎⋱⫍28CC⨓⪎⋱⫍C38=⪎⋱⫍-C3B","layer":3},{"info":"⪎⋱⫍-1⪨≂⪎⋱⫍-C3B=⪎⋱⫍1C25","layer":2},{"info":"↽≂⪎⋱⫍1398=⪎⋱⫍-2763","layer":3},{"info":"⨑⩽⪐⪎⋱⫍17C1=⪎⋱⫍-1641","layer":3},{"info":"⪎⋱⫍-2763⩷∴⪎⋱⫍-1641=⪎⋱⫍-226A","layer":2},{"info":"⪎⋱⫍1C25↙⪎⋱⫍-226A=⪎⋱⫍6774","layer":1},{"info":"⪎⋱⫍675↪⪝=⪎⋱⫍110BA337","layer":3},{"info":"∂⪎⋱⫍110BA337=NaN","layer":2},{"info":"⨵≀≌⪎⋱⫍2012=⪎⋱⫍-6036","layer":3},{"info":"⪎⋱⫍31A8⋫=⪎⋱⫍31A8","layer":3},{"info":"⪎⋱⫍-6036⇷⪎⋱⫍31A8=⪎⋱⫍6383","layer":2},{"info":"NaN↙⪎⋱⫍6383=NaN","layer":1},{"info":"⪎⋱⫍6774≹⇙⪍NaN=NaN","layer":0}]}
{"id":227,"expression_no_base_symbol":"($1200$*$1055$)↙($1417$⊭↱$1931$)⊭↱((⨈⫕$3180$)∸)⨸⪁(⨑⩽⪐$6776$⊴$4481$)⇷(+⊝⨔(+⊝⨔$3728$))","expression":"(⪎⋱⫍714*⪎⋱⫍632)↙(⪎⋱⫍850⊭↱⪎⋱⫍B57)⊭↱((⨈⫕⪎⋱⫍15A8)∸)⨸⪁(⨑⩽⪐⪎⋱⫍3113⊴⪎⋱⫍2069)⇷(+⊝⨔(+⊝⨔⪎⋱⫍190A))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":8504,"operation_count":12,"complexity_ratio":708.6666666666666,"tree":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1200,"base":13},"right_expr":{"type":"numeric_atoms","value":1055,"base":13}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1417,"base":13},"right_expr":{"type":"numeric_atoms","value":1931,"base":13}}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":3180,"base":13}}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":6776,"base":13},"right_expr":{"type":"numeric_atoms","value":4481,"base":13}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":3728,"base":13}}}}},"used_operators":["g55IO6H4Gj","COABgblf1C","yyfyN0ffXY","9HNa5Wba9A","o20kRiQErp","megm06wKyl","mp7IySMOzn","AF7qkfDlqP","Nsiff2A1zJ","DhbWaqg5eL"],"dependent_operators":["W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","tmPS8pqC7x","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","dWAJyo7jo9","14qkJME0vr","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"⪎⋱⫍8981","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1200","layer":4},{"info":"number node, value=1055","layer":4},{"info":"compute binary expreesion, left_input=1200, right_input=1055, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=1266000","layer":3},{"info":"number node, value=1417","layer":4},{"info":"number node, value=1931","layer":4},{"info":"compute binary expreesion, left_input=1417, right_input=1931, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=1033","layer":3},{"info":"compute binary expreesion, left_input=1266000, right_input=1033, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3099","layer":2},{"info":"number node, value=3180","layer":4},{"info":"compute unary expreesion, input=3180, 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 = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":2},{"info":"compute binary expreesion, left_input=-3099, right_input=177, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=6557","layer":1},{"info":"number node, value=6776","layer":4},{"info":"number node, value=4481","layer":4},{"info":"compute binary expreesion, left_input=6776, right_input=4481, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', 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=3728","layer":4},{"info":"compute unary expreesion, input=3728, 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 = 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 = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3044","layer":1},{"info":"compute binary expreesion, left_input=6557, right_input=3044, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=19202","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍714*⪎⋱⫍632)↙(⪎⋱⫍850⊭↱⪎⋱⫍B57)⊭↱((⨈⫕⪎⋱⫍15A8)∸)⨸⪁(⨑⩽⪐⪎⋱⫍3113⊴⪎⋱⫍2069)⇷(+⊝⨔(+⊝⨔⪎⋱⫍190A))=⪎⋱⫍8981","reverse_text":"⪎⋱⫍8981=(⪎⋱⫍714*⪎⋱⫍632)↙(⪎⋱⫍850⊭↱⪎⋱⫍B57)⊭↱((⨈⫕⪎⋱⫍15A8)∸)⨸⪁(⨑⩽⪐⪎⋱⫍3113⊴⪎⋱⫍2069)⇷(+⊝⨔(+⊝⨔⪎⋱⫍190A))","cot":[{"info":"⪎⋱⫍714*⪎⋱⫍632=⪎⋱⫍354318","layer":3},{"info":"⪎⋱⫍850⊭↱⪎⋱⫍B57=⪎⋱⫍616","layer":3},{"info":"⪎⋱⫍354318↙⪎⋱⫍616=⪎⋱⫍-1545","layer":2},{"info":"⨈⫕⪎⋱⫍15A8=⪎⋱⫍-18","layer":3},{"info":"⪎⋱⫍-18∸=⪎⋱⫍108","layer":2},{"info":"⪎⋱⫍-1545⊭↱⪎⋱⫍108=⪎⋱⫍2CA5","layer":1},{"info":"⪎⋱⫍3113⊴⪎⋱⫍2069=NaN","layer":3},{"info":"⨑⩽⪐NaN=NaN","layer":2},{"info":"+⊝⨔⪎⋱⫍190A=⪎⋱⫍901","layer":3},{"info":"+⊝⨔⪎⋱⫍901=⪎⋱⫍901","layer":2},{"info":"NaN⇷⪎⋱⫍901=⪎⋱⫍1502","layer":1},{"info":"⪎⋱⫍2CA5⨸⪁⪎⋱⫍1502=⪎⋱⫍8981","layer":0}]}
{"id":228,"expression_no_base_symbol":"($1221$⊪)≎⊠⪸($1257$/$1814$)≎⊠⪸($1306$⫸⊐$1292$∲⫓(⫓⪴$4046$))⩨(($1010$⩠)⇼⇔∾$2905$⨰$2904$)⨟⋌⩍(($5425$≋⫹)⪄$1723$↺$1186$)","expression":"(⪎⋱⫍72C⊪)≎⊠⪸(⪎⋱⫍759/⪎⋱⫍A97)≎⊠⪸(⪎⋱⫍796⫸⊐⪎⋱⫍785∲⫓(⫓⪴⪎⋱⫍1AC3))⩨((⪎⋱⫍5C9⩠)⇼⇔∾⪎⋱⫍1426⨰⪎⋱⫍1425)⨟⋌⩍((⪎⋱⫍2614≋⫹)⪄⪎⋱⫍A27↺⪎⋱⫍703)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":4518,"operation_count":15,"complexity_ratio":301.2,"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":1221,"base":13}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1257,"base":13},"right_expr":{"type":"numeric_atoms","value":1814,"base":13}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1306,"base":13},"right_expr":{"type":"numeric_atoms","value":1292,"base":13}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":4046,"base":13}}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":1010,"base":13}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2905,"base":13},"right_expr":{"type":"numeric_atoms","value":2904,"base":13}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":5425,"base":13}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1723,"base":13},"right_expr":{"type":"numeric_atoms","value":1186,"base":13}}}}},"used_operators":["2DlMacCsIx","bJkvcejdHO","zVYPLywUTj","XhwjNDsVaA","i8ToyICDmI","mqXw5SEYmG","eLxqMNBOBk","rGHVDoGpnC","tifHPKVTfV","sJAwomhLZr","eewbuw0ToL","SUmda5xLS4","N41Kp7NANJ","7j4O788W3g"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","9HNa5Wba9A","Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1221","layer":4},{"info":"compute unary expreesion, input=1221, 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=1257","layer":4},{"info":"number node, value=1814","layer":4},{"info":"compute binary expreesion, left_input=1257, right_input=1814, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=-473","layer":2},{"info":"number node, value=1306","layer":4},{"info":"number node, value=1292","layer":4},{"info":"compute binary expreesion, left_input=1306, right_input=1292, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=5043","layer":3},{"info":"number node, value=4046","layer":4},{"info":"compute unary expreesion, input=4046, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=16370116","layer":3},{"info":"compute binary expreesion, left_input=5043, right_input=16370116, 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=-473, right_input=0, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=122507","layer":1},{"info":"number node, value=1010","layer":4},{"info":"compute unary expreesion, input=1010, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"number node, value=2905","layer":4},{"info":"number node, value=2904","layer":4},{"info":"compute binary expreesion, left_input=2905, right_input=2904, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=11","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=11, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=11","layer":2},{"info":"number node, value=5425","layer":4},{"info":"compute unary expreesion, input=5425, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-10850","layer":3},{"info":"number node, value=1723","layer":4},{"info":"number node, value=1186","layer":4},{"info":"compute binary expreesion, left_input=1723, right_input=1186, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1186","layer":3},{"info":"compute binary expreesion, left_input=-10850, right_input=1186, 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=11, right_input=3979, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=122507, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍72C⊪)≎⊠⪸(⪎⋱⫍759/⪎⋱⫍A97)≎⊠⪸(⪎⋱⫍796⫸⊐⪎⋱⫍785∲⫓(⫓⪴⪎⋱⫍1AC3))⩨((⪎⋱⫍5C9⩠)⇼⇔∾⪎⋱⫍1426⨰⪎⋱⫍1425)⨟⋌⩍((⪎⋱⫍2614≋⫹)⪄⪎⋱⫍A27↺⪎⋱⫍703)=NaN","reverse_text":"NaN=(⪎⋱⫍72C⊪)≎⊠⪸(⪎⋱⫍759/⪎⋱⫍A97)≎⊠⪸(⪎⋱⫍796⫸⊐⪎⋱⫍785∲⫓(⫓⪴⪎⋱⫍1AC3))⩨((⪎⋱⫍5C9⩠)⇼⇔∾⪎⋱⫍1426⨰⪎⋱⫍1425)⨟⋌⩍((⪎⋱⫍2614≋⫹)⪄⪎⋱⫍A27↺⪎⋱⫍703)","cot":[{"info":"⪎⋱⫍72C⊪=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍759/⪎⋱⫍A97=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍0≎⊠⪸⪎⋱⫍0=⪎⋱⫍-2A5","layer":2},{"info":"⪎⋱⫍796⫸⊐⪎⋱⫍785=⪎⋱⫍23AC","layer":3},{"info":"⫓⪴⪎⋱⫍1AC3=⪎⋱⫍3512179","layer":3},{"info":"⪎⋱⫍23AC∲⫓⪎⋱⫍3512179=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍-2A5≎⊠⪸⪎⋱⫍0=⪎⋱⫍439B8","layer":1},{"info":"⪎⋱⫍5C9⩠=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍1426⨰⪎⋱⫍1425=⪎⋱⫍B","layer":3},{"info":"⪎⋱⫍0⇼⇔∾⪎⋱⫍B=⪎⋱⫍B","layer":2},{"info":"⪎⋱⫍2614≋⫹=⪎⋱⫍-4C28","layer":3},{"info":"⪎⋱⫍A27↺⪎⋱⫍703=⪎⋱⫍703","layer":3},{"info":"⪎⋱⫍-4C28⪄⪎⋱⫍703=⪎⋱⫍1A71","layer":2},{"info":"⪎⋱⫍B⨟⋌⩍⪎⋱⫍1A71=NaN","layer":1},{"info":"⪎⋱⫍439B8⩨NaN=NaN","layer":0}]}
{"id":229,"expression_no_base_symbol":"((↯⪼($4229$+$2904$))%(⨰⫟⨤($7683$⋓$3128$)))⫩⊇","expression":"((↯⪼(⪎⋱⫍1C04+⪎⋱⫍1425))%(⨰⫟⨤(⪎⋱⫍3660⋓⪎⋱⫍1568)))⫩⊇","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":942,"operation_count":6,"complexity_ratio":157.0,"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":4229,"base":13},"right_expr":{"type":"numeric_atoms","value":2904,"base":13}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":7683,"base":13},"right_expr":{"type":"numeric_atoms","value":3128,"base":13}}}}},"used_operators":["BjRHVeLaeN","k8jYdgA6NY","8jW3W4yZS5","W4YGzv6Whe","Tw270M8GLb","T2fj7uvVaJ"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"⪎⋱⫍-C13B57","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4229","layer":4},{"info":"number node, value=2904","layer":4},{"info":"compute binary expreesion, left_input=4229, right_input=2904, op_id = W4YGzv6Whe binary_op_definition= 'None', output=7133","layer":3},{"info":"compute unary expreesion, input=7133, 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=7683","layer":4},{"info":"number node, value=3128","layer":4},{"info":"compute binary expreesion, left_input=7683, right_input=3128, op_id = T2fj7uvVaJ binary_op_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 = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=4492662","layer":2},{"info":"compute binary expreesion, left_input=-21, right_input=4492662, op_id = k8jYdgA6NY binary_op_definition= 'None', output=4492641","layer":1},{"info":"compute unary expreesion, input=4492641, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-4492599","layer":0}],"base":13,"result_base":13,"text":"((↯⪼(⪎⋱⫍1C04+⪎⋱⫍1425))%(⨰⫟⨤(⪎⋱⫍3660⋓⪎⋱⫍1568)))⫩⊇=⪎⋱⫍-C13B57","reverse_text":"⪎⋱⫍-C13B57=((↯⪼(⪎⋱⫍1C04+⪎⋱⫍1425))%(⨰⫟⨤(⪎⋱⫍3660⋓⪎⋱⫍1568)))⫩⊇","cot":[{"info":"⪎⋱⫍1C04+⪎⋱⫍1425=⪎⋱⫍3329","layer":3},{"info":"↯⪼⪎⋱⫍3329=⪎⋱⫍-18","layer":2},{"info":"⪎⋱⫍3660⋓⪎⋱⫍1568=⪎⋱⫍0","layer":3},{"info":"⨰⫟⨤⪎⋱⫍0=⪎⋱⫍C13BA5","layer":2},{"info":"⪎⋱⫍-18%⪎⋱⫍C13BA5=⪎⋱⫍C13B8A","layer":1},{"info":"⪎⋱⫍C13B8A⫩⊇=⪎⋱⫍-C13B57","layer":0}]}
{"id":230,"expression_no_base_symbol":"(⨑⩽⪐($1425$⪢$2560$*($3400$⊭↱$2117$)))≹⇙⪍((+⊝⨔(↩$3263$))⊠≄⫣)","expression":"(⨑⩽⪐(⪎⋱⫍858⪢⪎⋱⫍121C*(⪎⋱⫍1717⊭↱⪎⋱⫍C6B)))≹⇙⪍((+⊝⨔(↩⪎⋱⫍1640))⊠≄⫣)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2614,"operation_count":8,"complexity_ratio":326.75,"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":1425,"base":13},"right_expr":{"type":"numeric_atoms","value":2560,"base":13}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":3400,"base":13},"right_expr":{"type":"numeric_atoms","value":2117,"base":13}}}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":3263,"base":13}}}}},"used_operators":["AHs5Up7iyr","AF7qkfDlqP","9HNa5Wba9A","dWAJyo7jo9","COABgblf1C","DIvbN7qnHd","DhbWaqg5eL","jLgFTUHLKL"],"dependent_operators":["dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1425","layer":4},{"info":"number node, value=2560","layer":4},{"info":"compute binary expreesion, left_input=1425, 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":3},{"info":"number node, value=3400","layer":4},{"info":"number node, value=2117","layer":4},{"info":"compute binary expreesion, left_input=3400, right_input=2117, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-2561","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-2561, op_id = 9HNa5Wba9A binary_op_definition= 'None', 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=3263","layer":4},{"info":"compute unary expreesion, input=3263, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-23324","layer":3},{"info":"compute unary expreesion, input=-23324, 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 = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⨑⩽⪐(⪎⋱⫍858⪢⪎⋱⫍121C*(⪎⋱⫍1717⊭↱⪎⋱⫍C6B)))≹⇙⪍((+⊝⨔(↩⪎⋱⫍1640))⊠≄⫣)=NaN","reverse_text":"NaN=(⨑⩽⪐(⪎⋱⫍858⪢⪎⋱⫍121C*(⪎⋱⫍1717⊭↱⪎⋱⫍C6B)))≹⇙⪍((+⊝⨔(↩⪎⋱⫍1640))⊠≄⫣)","cot":[{"info":"⪎⋱⫍858⪢⪎⋱⫍121C=NaN","layer":3},{"info":"⪎⋱⫍1717⊭↱⪎⋱⫍C6B=⪎⋱⫍-1220","layer":3},{"info":"NaN*⪎⋱⫍-1220=NaN","layer":2},{"info":"⨑⩽⪐NaN=NaN","layer":1},{"info":"↩⪎⋱⫍1640=⪎⋱⫍-A802","layer":3},{"info":"+⊝⨔⪎⋱⫍-A802=⪎⋱⫍901","layer":2},{"info":"⪎⋱⫍901⊠≄⫣=⪎⋱⫍0","layer":1},{"info":"NaN≹⇙⪍⪎⋱⫍0=NaN","layer":0}]}
{"id":231,"expression_no_base_symbol":"((≤/$2645$⪛$8441$)⇋≉)⊭↱((≉$5330$⨐⩸⫘$1890$)/($1001$≫≃)⪮%⊝($2763$%$1773$))","expression":"((≤/⪎⋱⫍1286⪛⪎⋱⫍3AC4)⇋≉)⊭↱((≉⪎⋱⫍2570⨐⩸⫘⪎⋱⫍B25)/(⪎⋱⫍5C0≫≃)⪮%⊝(⪎⋱⫍1347%⪎⋱⫍A65))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":34,"operation_count":10,"complexity_ratio":3.4,"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":2645,"base":13},"right_expr":{"type":"numeric_atoms","value":8441,"base":13}}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":5330,"base":13},"right_expr":{"type":"numeric_atoms","value":1890,"base":13}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":1001,"base":13}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2763,"base":13},"right_expr":{"type":"numeric_atoms","value":1773,"base":13}}}}},"used_operators":["COABgblf1C","XIabStNQrY","eLAdDNolq6","uFcxV4UQCh","XhwjNDsVaA","e1ybzncUwg","fu6greOZ01","IWmyXbctLI","X99M06cbEe","k8jYdgA6NY"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2645","layer":4},{"info":"number node, value=8441","layer":4},{"info":"compute binary expreesion, left_input=2645, right_input=8441, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2645","layer":3},{"info":"compute unary expreesion, input=2645, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-2161","layer":2},{"info":"compute unary expreesion, input=-2161, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=-4420","layer":1},{"info":"number node, value=5330","layer":4},{"info":"number node, value=1890","layer":4},{"info":"compute binary expreesion, left_input=5330, right_input=1890, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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":"number node, value=1001","layer":4},{"info":"compute unary expreesion, input=1001, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=3403","layer":3},{"info":"number node, value=2763","layer":4},{"info":"number node, value=1773","layer":4},{"info":"compute binary expreesion, left_input=2763, right_input=1773, op_id = k8jYdgA6NY binary_op_definition= 'None', output=990","layer":3},{"info":"compute binary expreesion, left_input=3403, right_input=990, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=7122","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=7122, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-4420, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((≤/⪎⋱⫍1286⪛⪎⋱⫍3AC4)⇋≉)⊭↱((≉⪎⋱⫍2570⨐⩸⫘⪎⋱⫍B25)/(⪎⋱⫍5C0≫≃)⪮%⊝(⪎⋱⫍1347%⪎⋱⫍A65))=NaN","reverse_text":"NaN=((≤/⪎⋱⫍1286⪛⪎⋱⫍3AC4)⇋≉)⊭↱((≉⪎⋱⫍2570⨐⩸⫘⪎⋱⫍B25)/(⪎⋱⫍5C0≫≃)⪮%⊝(⪎⋱⫍1347%⪎⋱⫍A65))","cot":[{"info":"⪎⋱⫍1286⪛⪎⋱⫍3AC4=⪎⋱⫍1286","layer":3},{"info":"≤/⪎⋱⫍1286=⪎⋱⫍-CA3","layer":2},{"info":"⪎⋱⫍-CA3⇋≉=⪎⋱⫍-2020","layer":1},{"info":"⪎⋱⫍2570⨐⩸⫘⪎⋱⫍B25=NaN","layer":3},{"info":"≉NaN=NaN","layer":2},{"info":"⪎⋱⫍5C0≫≃=⪎⋱⫍171A","layer":3},{"info":"⪎⋱⫍1347%⪎⋱⫍A65=⪎⋱⫍5B2","layer":3},{"info":"⪎⋱⫍171A⪮%⊝⪎⋱⫍5B2=⪎⋱⫍331B","layer":2},{"info":"NaN/⪎⋱⫍331B=NaN","layer":1},{"info":"⪎⋱⫍-2020⊭↱NaN=NaN","layer":0}]}
{"id":232,"expression_no_base_symbol":"((≤/$1813$)⪢($2698$-$1181$)≧⫂∧((+⊝⨔$5764$)⨵⪆$2051$↺$3087$))⪢(↥($3559$≦≮≮)↬($6238$+⇶⊼$8376$))","expression":"((≤/⪎⋱⫍A96)⪢(⪎⋱⫍12C7-⪎⋱⫍6CB)≧⫂∧((+⊝⨔⪎⋱⫍2815)⨵⪆⪎⋱⫍C1A↺⪎⋱⫍1536))⪢(↥(⪎⋱⫍180A≦≮≮)↬(⪎⋱⫍2ABB+⇶⊼⪎⋱⫍3A74))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":3774,"operation_count":12,"complexity_ratio":314.5,"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":1813,"base":13}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2698,"base":13},"right_expr":{"type":"numeric_atoms","value":1181,"base":13}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":5764,"base":13}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2051,"base":13},"right_expr":{"type":"numeric_atoms","value":3087,"base":13}}}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":3559,"base":13}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":6238,"base":13},"right_expr":{"type":"numeric_atoms","value":8376,"base":13}}}}},"used_operators":["dWAJyo7jo9","Ph9nP6C5qx","eLAdDNolq6","rysDP5nf3Z","2DQ55sFlQl","DhbWaqg5eL","7j4O788W3g","A8NUZmVepG","B5M0gjZbta","D4vGDi5EA2","TpPTUOHfaN"],"dependent_operators":["k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1813","layer":4},{"info":"compute unary expreesion, input=1813, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1329","layer":3},{"info":"number node, value=2698","layer":4},{"info":"number node, value=1181","layer":4},{"info":"compute binary expreesion, left_input=2698, right_input=1181, op_id = rysDP5nf3Z binary_op_definition= 'None', output=1517","layer":3},{"info":"compute binary expreesion, left_input=-1329, right_input=1517, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=5764","layer":4},{"info":"compute unary expreesion, input=5764, 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=2051","layer":4},{"info":"number node, value=3087","layer":4},{"info":"compute binary expreesion, left_input=2051, right_input=3087, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3087","layer":3},{"info":"compute binary expreesion, left_input=1522, right_input=3087, 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 = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-313","layer":1},{"info":"number node, value=3559","layer":4},{"info":"compute unary expreesion, input=3559, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-10677","layer":3},{"info":"number node, value=6238","layer":4},{"info":"number node, value=8376","layer":4},{"info":"compute binary expreesion, left_input=6238, right_input=8376, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=-10677, right_input=nan, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-313, 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":13,"result_base":13,"text":"((≤/⪎⋱⫍A96)⪢(⪎⋱⫍12C7-⪎⋱⫍6CB)≧⫂∧((+⊝⨔⪎⋱⫍2815)⨵⪆⪎⋱⫍C1A↺⪎⋱⫍1536))⪢(↥(⪎⋱⫍180A≦≮≮)↬(⪎⋱⫍2ABB+⇶⊼⪎⋱⫍3A74))=NaN","reverse_text":"NaN=((≤/⪎⋱⫍A96)⪢(⪎⋱⫍12C7-⪎⋱⫍6CB)≧⫂∧((+⊝⨔⪎⋱⫍2815)⨵⪆⪎⋱⫍C1A↺⪎⋱⫍1536))⪢(↥(⪎⋱⫍180A≦≮≮)↬(⪎⋱⫍2ABB+⇶⊼⪎⋱⫍3A74))","cot":[{"info":"≤/⪎⋱⫍A96=⪎⋱⫍-7B3","layer":3},{"info":"⪎⋱⫍12C7-⪎⋱⫍6CB=⪎⋱⫍8C9","layer":3},{"info":"⪎⋱⫍-7B3⪢⪎⋱⫍8C9=NaN","layer":2},{"info":"+⊝⨔⪎⋱⫍2815=⪎⋱⫍901","layer":3},{"info":"⪎⋱⫍C1A↺⪎⋱⫍1536=⪎⋱⫍1536","layer":3},{"info":"⪎⋱⫍901⨵⪆⪎⋱⫍1536=⪎⋱⫍C4","layer":2},{"info":"NaN≧⫂∧⪎⋱⫍C4=⪎⋱⫍-1B1","layer":1},{"info":"⪎⋱⫍180A≦≮≮=⪎⋱⫍-4B24","layer":3},{"info":"⪎⋱⫍2ABB+⇶⊼⪎⋱⫍3A74=NaN","layer":3},{"info":"⪎⋱⫍-4B24↬NaN=NaN","layer":2},{"info":"↥NaN=NaN","layer":1},{"info":"⪎⋱⫍-1B1⪢NaN=NaN","layer":0}]}
{"id":233,"expression_no_base_symbol":"(≤/$1639$)+⇶⊼($2530$⋳⪒$1135$)↙$2521$⨟⋌⩍$1461$⨪↰⇹($8287$⊭↱$5953$)%(⇁⨣⪵(($2962$⊘)⨸⪁$1925$⩚⊴⇥$7451$))","expression":"(≤/⪎⋱⫍991)+⇶⊼(⪎⋱⫍11C8⋳⪒⪎⋱⫍694)↙⪎⋱⫍11BC⨟⋌⩍⪎⋱⫍885⨪↰⇹(⪎⋱⫍3A06⊭↱⪎⋱⫍292C)%(⇁⨣⪵((⪎⋱⫍146B⊘)⨸⪁⪎⋱⫍B51⩚⊴⇥⪎⋱⫍3512))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":45,"operation_count":12,"complexity_ratio":3.75,"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":1639,"base":13}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2530,"base":13},"right_expr":{"type":"numeric_atoms","value":1135,"base":13}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2521,"base":13},"right_expr":{"type":"numeric_atoms","value":1461,"base":13}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":8287,"base":13},"right_expr":{"type":"numeric_atoms","value":5953,"base":13}}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":2962,"base":13}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1925,"base":13},"right_expr":{"type":"numeric_atoms","value":7451,"base":13}}}}},"used_operators":["k8jYdgA6NY","yyfyN0ffXY","TpPTUOHfaN","eLAdDNolq6","12rbrZMWeM","tmPS8pqC7x","rGHVDoGpnC","COABgblf1C","inkyxCbjAn","g55IO6H4Gj","gu96TGCTMs","NTOWxs364D"],"dependent_operators":["rysDP5nf3Z","tmPS8pqC7x","DpFCA1CohY","AHs5Up7iyr","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","W4YGzv6Whe","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1639","layer":4},{"info":"compute unary expreesion, input=1639, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1155","layer":3},{"info":"number node, value=2530","layer":4},{"info":"number node, value=1135","layer":4},{"info":"compute binary expreesion, left_input=2530, right_input=1135, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=3638","layer":3},{"info":"compute binary expreesion, left_input=-1155, right_input=3638, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=2521","layer":4},{"info":"number node, value=1461","layer":4},{"info":"compute binary expreesion, left_input=2521, right_input=1461, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=8287","layer":4},{"info":"number node, value=5953","layer":4},{"info":"compute binary expreesion, left_input=8287, right_input=5953, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-4663","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-4663, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((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 = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":1},{"info":"number node, value=2962","layer":4},{"info":"compute unary expreesion, input=2962, 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=1925","layer":4},{"info":"number node, value=7451","layer":4},{"info":"compute binary expreesion, left_input=1925, right_input=7451, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-9497","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-9497, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-18994","layer":2},{"info":"compute unary expreesion, input=-18994, 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 = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":0}],"base":13,"result_base":13,"text":"(≤/⪎⋱⫍991)+⇶⊼(⪎⋱⫍11C8⋳⪒⪎⋱⫍694)↙⪎⋱⫍11BC⨟⋌⩍⪎⋱⫍885⨪↰⇹(⪎⋱⫍3A06⊭↱⪎⋱⫍292C)%(⇁⨣⪵((⪎⋱⫍146B⊘)⨸⪁⪎⋱⫍B51⩚⊴⇥⪎⋱⫍3512))=NaN","reverse_text":"NaN=(≤/⪎⋱⫍991)+⇶⊼(⪎⋱⫍11C8⋳⪒⪎⋱⫍694)↙⪎⋱⫍11BC⨟⋌⩍⪎⋱⫍885⨪↰⇹(⪎⋱⫍3A06⊭↱⪎⋱⫍292C)%(⇁⨣⪵((⪎⋱⫍146B⊘)⨸⪁⪎⋱⫍B51⩚⊴⇥⪎⋱⫍3512))","cot":[{"info":"≤/⪎⋱⫍991=⪎⋱⫍-6AB","layer":3},{"info":"⪎⋱⫍11C8⋳⪒⪎⋱⫍694=⪎⋱⫍186B","layer":3},{"info":"⪎⋱⫍-6AB+⇶⊼⪎⋱⫍186B=NaN","layer":2},{"info":"⪎⋱⫍11BC⨟⋌⩍⪎⋱⫍885=NaN","layer":3},{"info":"⪎⋱⫍3A06⊭↱⪎⋱⫍292C=⪎⋱⫍-2179","layer":3},{"info":"NaN⨪↰⇹⪎⋱⫍-2179=NaN","layer":2},{"info":"NaN↙NaN=NaN","layer":1},{"info":"⪎⋱⫍146B⊘=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍B51⩚⊴⇥⪎⋱⫍3512=⪎⋱⫍-4427","layer":3},{"info":"⪎⋱⫍0⨸⪁⪎⋱⫍-4427=⪎⋱⫍-8851","layer":2},{"info":"⇁⨣⪵⪎⋱⫍-8851=NaN","layer":1},{"info":"NaN%NaN=NaN","layer":0}]}
{"id":234,"expression_no_base_symbol":"(((⩦⩻⨪$1166$)⊉≛↸($2285$*$3058$))⨓($3186$⇼⇔∾$3422$⪒(⨞⊢$2422$)))∼((⪝⪂⫅(⪲⇎$3494$))-$1619$⨸⪁$3844$%$1639$≧⫂∧$1006$)","expression":"(((⩦⩻⨪⪎⋱⫍6B9)⊉≛↸(⪎⋱⫍106A*⪎⋱⫍1513))⨓(⪎⋱⫍15B1⇼⇔∾⪎⋱⫍1733⪒(⨞⊢⪎⋱⫍1144)))∼((⪝⪂⫅(⪲⇎⪎⋱⫍178A))-⪎⋱⫍977⨸⪁⪎⋱⫍1999%⪎⋱⫍991≧⫂∧⪎⋱⫍5C5)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":4888,"operation_count":14,"complexity_ratio":349.14285714285717,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":1166,"base":13}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2285,"base":13},"right_expr":{"type":"numeric_atoms","value":3058,"base":13}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":3186,"base":13},"right_expr":{"type":"numeric_atoms","value":3422,"base":13}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":2422,"base":13}}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":3494,"base":13}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1619,"base":13},"right_expr":{"type":"numeric_atoms","value":3844,"base":13}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1639,"base":13},"right_expr":{"type":"numeric_atoms","value":1006,"base":13}}}}},"used_operators":["DyGG3AbaNP","3ViojmjbAp","DZ8iAZOCBD","2td37pGCOC","9HNa5Wba9A","f6k1SAg4EE","tifHPKVTfV","xUOZtlo3hN","rysDP5nf3Z","XTarYq4gQB","XPYlsWDdGa","k8jYdgA6NY","g55IO6H4Gj","Ph9nP6C5qx"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1166","layer":4},{"info":"compute unary expreesion, input=1166, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1166","layer":3},{"info":"number node, value=2285","layer":4},{"info":"number node, value=3058","layer":4},{"info":"compute binary expreesion, left_input=2285, right_input=3058, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=6987530","layer":3},{"info":"compute binary expreesion, left_input=1166, right_input=6987530, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2332","layer":2},{"info":"number node, value=3186","layer":4},{"info":"number node, value=3422","layer":4},{"info":"compute binary expreesion, left_input=3186, right_input=3422, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=236","layer":3},{"info":"number node, value=2422","layer":4},{"info":"compute unary expreesion, input=2422, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-2596","layer":3},{"info":"compute binary expreesion, left_input=236, right_input=-2596, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=2360","layer":2},{"info":"compute binary expreesion, left_input=2332, right_input=2360, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2363","layer":1},{"info":"number node, value=3494","layer":4},{"info":"compute unary expreesion, input=3494, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=6988","layer":3},{"info":"compute unary expreesion, input=6988, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-1027236","layer":2},{"info":"number node, value=1619","layer":4},{"info":"number node, value=3844","layer":4},{"info":"compute binary expreesion, left_input=1619, right_input=3844, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=10926","layer":3},{"info":"number node, value=1639","layer":4},{"info":"number node, value=1006","layer":4},{"info":"compute binary expreesion, left_input=1639, right_input=1006, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=533","layer":3},{"info":"compute binary expreesion, left_input=10926, right_input=533, op_id = k8jYdgA6NY binary_op_definition= 'None', output=266","layer":2},{"info":"compute binary expreesion, left_input=-1027236, right_input=266, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-1027502","layer":1},{"info":"compute binary expreesion, left_input=-2363, right_input=-1027502, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(((⩦⩻⨪⪎⋱⫍6B9)⊉≛↸(⪎⋱⫍106A*⪎⋱⫍1513))⨓(⪎⋱⫍15B1⇼⇔∾⪎⋱⫍1733⪒(⨞⊢⪎⋱⫍1144)))∼((⪝⪂⫅(⪲⇎⪎⋱⫍178A))-⪎⋱⫍977⨸⪁⪎⋱⫍1999%⪎⋱⫍991≧⫂∧⪎⋱⫍5C5)=NaN","reverse_text":"NaN=(((⩦⩻⨪⪎⋱⫍6B9)⊉≛↸(⪎⋱⫍106A*⪎⋱⫍1513))⨓(⪎⋱⫍15B1⇼⇔∾⪎⋱⫍1733⪒(⨞⊢⪎⋱⫍1144)))∼((⪝⪂⫅(⪲⇎⪎⋱⫍178A))-⪎⋱⫍977⨸⪁⪎⋱⫍1999%⪎⋱⫍991≧⫂∧⪎⋱⫍5C5)","cot":[{"info":"⩦⩻⨪⪎⋱⫍6B9=⪎⋱⫍6B9","layer":3},{"info":"⪎⋱⫍106A*⪎⋱⫍1513=⪎⋱⫍15A8644","layer":3},{"info":"⪎⋱⫍6B9⊉≛↸⪎⋱⫍15A8644=⪎⋱⫍10A5","layer":2},{"info":"⪎⋱⫍15B1⇼⇔∾⪎⋱⫍1733=⪎⋱⫍152","layer":3},{"info":"⨞⊢⪎⋱⫍1144=⪎⋱⫍-1249","layer":3},{"info":"⪎⋱⫍152⪒⪎⋱⫍-1249=⪎⋱⫍10C7","layer":2},{"info":"⪎⋱⫍10A5⨓⪎⋱⫍10C7=⪎⋱⫍-10CA","layer":1},{"info":"⪲⇎⪎⋱⫍178A=⪎⋱⫍3247","layer":3},{"info":"⪝⪂⫅⪎⋱⫍3247=⪎⋱⫍-29C742","layer":2},{"info":"⪎⋱⫍977⨸⪁⪎⋱⫍1999=⪎⋱⫍4C86","layer":3},{"info":"⪎⋱⫍991≧⫂∧⪎⋱⫍5C5=⪎⋱⫍320","layer":3},{"info":"⪎⋱⫍4C86%⪎⋱⫍320=⪎⋱⫍176","layer":2},{"info":"⪎⋱⫍-29C742-⪎⋱⫍176=⪎⋱⫍-29C8B8","layer":1},{"info":"⪎⋱⫍-10CA∼⪎⋱⫍-29C8B8=NaN","layer":0}]}
{"id":235,"expression_no_base_symbol":"(≦∁($2467$⩠))⪛((⨵≀≌$2610$)%$2576$≭$1827$)⋓(⋗⩬⋾$1733$)↬$1470$⨟⋌⩍$1614$∑⇟⊟($4473$⪢$3974$≎⊠⪸(↽≂$5230$))","expression":"(≦∁(⪎⋱⫍117A⩠))⪛((⨵≀≌⪎⋱⫍125A)%⪎⋱⫍1232≭⪎⋱⫍AA7)⋓(⋗⩬⋾⪎⋱⫍A34)↬⪎⋱⫍891⨟⋌⩍⪎⋱⫍972∑⇟⊟(⪎⋱⫍2061⪢⪎⋱⫍1A69≎⊠⪸(↽≂⪎⋱⫍24C4))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":9090,"operation_count":14,"complexity_ratio":649.2857142857143,"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":2467,"base":13}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":2610,"base":13}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2576,"base":13},"right_expr":{"type":"numeric_atoms","value":1827,"base":13}}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1733,"base":13}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1470,"base":13},"right_expr":{"type":"numeric_atoms","value":1614,"base":13}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":4473,"base":13},"right_expr":{"type":"numeric_atoms","value":3974,"base":13}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":5230,"base":13}}}}},"used_operators":["T2fj7uvVaJ","uFcxV4UQCh","9ICcGScMcE","sJAwomhLZr","k8jYdgA6NY","srAu1WTS94","rxpJgHHUmx","U7g4x0WXJJ","B5M0gjZbta","DpFCA1CohY","rGHVDoGpnC","bJkvcejdHO","dWAJyo7jo9","u6S6b8DprG"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","rysDP5nf3Z","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","AHs5Up7iyr","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2467","layer":4},{"info":"compute unary expreesion, input=2467, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=-320","layer":2},{"info":"number node, value=2610","layer":4},{"info":"compute unary expreesion, input=2610, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-7830","layer":3},{"info":"number node, value=2576","layer":4},{"info":"number node, value=1827","layer":4},{"info":"compute binary expreesion, left_input=2576, right_input=1827, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=-7830, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-320, right_input=nan, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":1},{"info":"number node, value=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":"number node, value=1470","layer":4},{"info":"number node, value=1614","layer":4},{"info":"compute binary expreesion, left_input=1470, right_input=1614, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=-5199, 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=4473","layer":4},{"info":"number node, value=3974","layer":4},{"info":"compute binary expreesion, left_input=4473, right_input=3974, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=5230","layer":4},{"info":"compute unary expreesion, input=5230, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-10460","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-10460, 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 = 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 = T2fj7uvVaJ 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":13,"result_base":13,"text":"(≦∁(⪎⋱⫍117A⩠))⪛((⨵≀≌⪎⋱⫍125A)%⪎⋱⫍1232≭⪎⋱⫍AA7)⋓(⋗⩬⋾⪎⋱⫍A34)↬⪎⋱⫍891⨟⋌⩍⪎⋱⫍972∑⇟⊟(⪎⋱⫍2061⪢⪎⋱⫍1A69≎⊠⪸(↽≂⪎⋱⫍24C4))=NaN","reverse_text":"NaN=(≦∁(⪎⋱⫍117A⩠))⪛((⨵≀≌⪎⋱⫍125A)%⪎⋱⫍1232≭⪎⋱⫍AA7)⋓(⋗⩬⋾⪎⋱⫍A34)↬⪎⋱⫍891⨟⋌⩍⪎⋱⫍972∑⇟⊟(⪎⋱⫍2061⪢⪎⋱⫍1A69≎⊠⪸(↽≂⪎⋱⫍24C4))","cot":[{"info":"⪎⋱⫍117A⩠=⪎⋱⫍0","layer":3},{"info":"≦∁⪎⋱⫍0=⪎⋱⫍-1B8","layer":2},{"info":"⨵≀≌⪎⋱⫍125A=⪎⋱⫍-3744","layer":3},{"info":"⪎⋱⫍1232≭⪎⋱⫍AA7=NaN","layer":3},{"info":"⪎⋱⫍-3744%NaN=NaN","layer":2},{"info":"⪎⋱⫍-1B8⪛NaN=NaN","layer":1},{"info":"⋗⩬⋾⪎⋱⫍A34=⪎⋱⫍-249C","layer":3},{"info":"⪎⋱⫍891⨟⋌⩍⪎⋱⫍972=NaN","layer":3},{"info":"⪎⋱⫍-249C↬NaN=NaN","layer":2},{"info":"⪎⋱⫍2061⪢⪎⋱⫍1A69=NaN","layer":3},{"info":"↽≂⪎⋱⫍24C4=⪎⋱⫍-49B8","layer":3},{"info":"NaN≎⊠⪸⪎⋱⫍-49B8=⪎⋱⫍52","layer":2},{"info":"NaN∑⇟⊟⪎⋱⫍52=NaN","layer":1},{"info":"NaN⋓NaN=NaN","layer":0}]}
{"id":236,"expression_no_base_symbol":"((↩$3224$)⊉≛↸($1227$%$1737$))∼(↣≠⋷($2617$⊉≛↸$4384$))⋷((⩦⩻⨪$7592$∼$1303$)+($4654$⇼⇔∾$5982$)⋳⪒$2384$⋓$9154$)","expression":"((↩⪎⋱⫍1610)⊉≛↸(⪎⋱⫍735%⪎⋱⫍A38))∼(↣≠⋷(⪎⋱⫍1264⊉≛↸⪎⋱⫍1CC3))⋷((⩦⩻⨪⪎⋱⫍35C0∼⪎⋱⫍793)+(⪎⋱⫍2170⇼⇔∾⪎⋱⫍2952)⋳⪒⪎⋱⫍1115⋓⪎⋱⫍4222)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":230,"operation_count":13,"complexity_ratio":17.692307692307693,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":3224,"base":13}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1227,"base":13},"right_expr":{"type":"numeric_atoms","value":1737,"base":13}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2617,"base":13},"right_expr":{"type":"numeric_atoms","value":4384,"base":13}}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":7592,"base":13},"right_expr":{"type":"numeric_atoms","value":1303,"base":13}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":4654,"base":13},"right_expr":{"type":"numeric_atoms","value":5982,"base":13}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2384,"base":13},"right_expr":{"type":"numeric_atoms","value":9154,"base":13}}}}},"used_operators":["23Mk6UjR3U","DyGG3AbaNP","DZ8iAZOCBD","jLgFTUHLKL","k8jYdgA6NY","Asc51vEJeQ","W4YGzv6Whe","2td37pGCOC","12rbrZMWeM","tifHPKVTfV","T2fj7uvVaJ"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3224","layer":4},{"info":"compute unary expreesion, input=3224, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-23012","layer":3},{"info":"number node, value=1227","layer":4},{"info":"number node, value=1737","layer":4},{"info":"compute binary expreesion, left_input=1227, right_input=1737, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1227","layer":3},{"info":"compute binary expreesion, left_input=-23012, right_input=1227, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=-1227","layer":2},{"info":"number node, value=2617","layer":4},{"info":"number node, value=4384","layer":4},{"info":"compute binary expreesion, left_input=2617, right_input=4384, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=5234","layer":3},{"info":"compute unary expreesion, input=5234, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-1227, 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=7592","layer":4},{"info":"number node, value=1303","layer":4},{"info":"compute binary expreesion, left_input=7592, right_input=1303, 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":"number node, value=4654","layer":4},{"info":"number node, value=5982","layer":4},{"info":"compute binary expreesion, left_input=4654, right_input=5982, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1328","layer":3},{"info":"number node, value=2384","layer":4},{"info":"number node, value=9154","layer":4},{"info":"compute binary expreesion, left_input=2384, right_input=9154, op_id = T2fj7uvVaJ binary_op_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=1328, right_input=0, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=2369","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=2369, op_id = W4YGzv6Whe binary_op_definition= 'None', 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":13,"result_base":13,"text":"((↩⪎⋱⫍1610)⊉≛↸(⪎⋱⫍735%⪎⋱⫍A38))∼(↣≠⋷(⪎⋱⫍1264⊉≛↸⪎⋱⫍1CC3))⋷((⩦⩻⨪⪎⋱⫍35C0∼⪎⋱⫍793)+(⪎⋱⫍2170⇼⇔∾⪎⋱⫍2952)⋳⪒⪎⋱⫍1115⋓⪎⋱⫍4222)=NaN","reverse_text":"NaN=((↩⪎⋱⫍1610)⊉≛↸(⪎⋱⫍735%⪎⋱⫍A38))∼(↣≠⋷(⪎⋱⫍1264⊉≛↸⪎⋱⫍1CC3))⋷((⩦⩻⨪⪎⋱⫍35C0∼⪎⋱⫍793)+(⪎⋱⫍2170⇼⇔∾⪎⋱⫍2952)⋳⪒⪎⋱⫍1115⋓⪎⋱⫍4222)","cot":[{"info":"↩⪎⋱⫍1610=⪎⋱⫍-A622","layer":3},{"info":"⪎⋱⫍735%⪎⋱⫍A38=⪎⋱⫍735","layer":3},{"info":"⪎⋱⫍-A622⊉≛↸⪎⋱⫍735=⪎⋱⫍-735","layer":2},{"info":"⪎⋱⫍1264⊉≛↸⪎⋱⫍1CC3=⪎⋱⫍24C8","layer":3},{"info":"↣≠⋷⪎⋱⫍24C8=NaN","layer":2},{"info":"⪎⋱⫍-735∼NaN=NaN","layer":1},{"info":"⪎⋱⫍35C0∼⪎⋱⫍793=NaN","layer":3},{"info":"⩦⩻⨪NaN=NaN","layer":2},{"info":"⪎⋱⫍2170⇼⇔∾⪎⋱⫍2952=⪎⋱⫍7B2","layer":3},{"info":"⪎⋱⫍1115⋓⪎⋱⫍4222=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍7B2⋳⪒⪎⋱⫍0=⪎⋱⫍1103","layer":2},{"info":"NaN+⪎⋱⫍1103=NaN","layer":1},{"info":"NaN⋷NaN=NaN","layer":0}]}
{"id":237,"expression_no_base_symbol":"(($1269$⩨$4253$-(⨑⩽⪐$1581$))⨎(≤/$1256$⊴$1215$))≹⇙⪍(≉($5683$/$1721$⪨≂(+⊝⨔$5167$)))","expression":"((⪎⋱⫍768⩨⪎⋱⫍1C22-(⨑⩽⪐⪎⋱⫍948))⨎(≤/⪎⋱⫍758⊴⪎⋱⫍726))≹⇙⪍(≉(⪎⋱⫍2782/⪎⋱⫍A25⪨≂(+⊝⨔⪎⋱⫍2476)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1516,"operation_count":11,"complexity_ratio":137.8181818181818,"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":1269,"base":13},"right_expr":{"type":"numeric_atoms","value":4253,"base":13}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":1581,"base":13}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1256,"base":13},"right_expr":{"type":"numeric_atoms","value":1215,"base":13}}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":5683,"base":13},"right_expr":{"type":"numeric_atoms","value":1721,"base":13}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":5167,"base":13}}}}},"used_operators":["AHs5Up7iyr","rJVOvQCfKK","rysDP5nf3Z","2DlMacCsIx","AF7qkfDlqP","eLAdDNolq6","Nsiff2A1zJ","e1ybzncUwg","sdazOOVcIp","XhwjNDsVaA","DhbWaqg5eL"],"dependent_operators":["dWAJyo7jo9","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1269","layer":4},{"info":"number node, value=4253","layer":4},{"info":"compute binary expreesion, left_input=1269, right_input=4253, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-9","layer":3},{"info":"number node, value=1581","layer":4},{"info":"compute unary expreesion, input=1581, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-1308","layer":3},{"info":"compute binary expreesion, left_input=-9, right_input=-1308, op_id = rysDP5nf3Z binary_op_definition= 'None', output=1299","layer":2},{"info":"number node, value=1256","layer":4},{"info":"number node, value=1215","layer":4},{"info":"compute binary expreesion, left_input=1256, right_input=1215, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1299, 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=5683","layer":4},{"info":"number node, value=1721","layer":4},{"info":"compute binary expreesion, left_input=5683, right_input=1721, op_id = XhwjNDsVaA binary_op_definition= 'None', output=3","layer":3},{"info":"number node, value=5167","layer":4},{"info":"compute unary expreesion, input=5167, 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 = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-2936","layer":2},{"info":"compute unary expreesion, input=-2936, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=-2936","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-2936, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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":13,"result_base":13,"text":"((⪎⋱⫍768⩨⪎⋱⫍1C22-(⨑⩽⪐⪎⋱⫍948))⨎(≤/⪎⋱⫍758⊴⪎⋱⫍726))≹⇙⪍(≉(⪎⋱⫍2782/⪎⋱⫍A25⪨≂(+⊝⨔⪎⋱⫍2476)))=NaN","reverse_text":"NaN=((⪎⋱⫍768⩨⪎⋱⫍1C22-(⨑⩽⪐⪎⋱⫍948))⨎(≤/⪎⋱⫍758⊴⪎⋱⫍726))≹⇙⪍(≉(⪎⋱⫍2782/⪎⋱⫍A25⪨≂(+⊝⨔⪎⋱⫍2476)))","cot":[{"info":"⪎⋱⫍768⩨⪎⋱⫍1C22=⪎⋱⫍-9","layer":3},{"info":"⨑⩽⪐⪎⋱⫍948=⪎⋱⫍-798","layer":3},{"info":"⪎⋱⫍-9-⪎⋱⫍-798=⪎⋱⫍78C","layer":2},{"info":"⪎⋱⫍758⊴⪎⋱⫍726=NaN","layer":3},{"info":"≤/NaN=NaN","layer":2},{"info":"⪎⋱⫍78C⨎NaN=NaN","layer":1},{"info":"⪎⋱⫍2782/⪎⋱⫍A25=⪎⋱⫍3","layer":3},{"info":"+⊝⨔⪎⋱⫍2476=⪎⋱⫍901","layer":3},{"info":"⪎⋱⫍3⪨≂⪎⋱⫍901=⪎⋱⫍-144B","layer":2},{"info":"≉⪎⋱⫍-144B=⪎⋱⫍-144B","layer":1},{"info":"NaN≹⇙⪍⪎⋱⫍-144B=NaN","layer":0}]}
{"id":238,"expression_no_base_symbol":"(∂($5617$⨽$1583$)∀⇚≩$1280$∀⇚≩$4269$)⨐⩸⫘($8306$⨟⋌⩍$2839$↺($1295$∸)-$1751$∼$2253$⊭↱($1447$⨸⪁$2128$))","expression":"(∂(⪎⋱⫍2731⨽⪎⋱⫍94A)∀⇚≩⪎⋱⫍776∀⇚≩⪎⋱⫍1C35)⨐⩸⫘(⪎⋱⫍3A1C⨟⋌⩍⪎⋱⫍13A5↺(⪎⋱⫍788∸)-⪎⋱⫍A49∼⪎⋱⫍1044⊭↱(⪎⋱⫍874⨸⪁⪎⋱⫍C79))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":14815,"operation_count":12,"complexity_ratio":1234.5833333333333,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":5617,"base":13},"right_expr":{"type":"numeric_atoms","value":1583,"base":13}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1280,"base":13},"right_expr":{"type":"numeric_atoms","value":4269,"base":13}}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":8306,"base":13},"right_expr":{"type":"numeric_atoms","value":2839,"base":13}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":1295,"base":13}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1751,"base":13},"right_expr":{"type":"numeric_atoms","value":2253,"base":13}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1447,"base":13},"right_expr":{"type":"numeric_atoms","value":2128,"base":13}}}}},"used_operators":["fu6greOZ01","Uaa54Peajs","LRNGc0VcxI","8HhzD0ZcuI","rysDP5nf3Z","7j4O788W3g","rGHVDoGpnC","o20kRiQErp","COABgblf1C","DyGG3AbaNP","g55IO6H4Gj"],"dependent_operators":["3ViojmjbAp","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","X99M06cbEe","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","tmPS8pqC7x","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5617","layer":4},{"info":"number node, value=1583","layer":4},{"info":"compute binary expreesion, left_input=5617, right_input=1583, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-94655502","layer":3},{"info":"number node, value=1280","layer":4},{"info":"number node, value=4269","layer":4},{"info":"compute binary expreesion, left_input=1280, right_input=4269, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=-94655502, 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 = 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=8306","layer":4},{"info":"number node, value=2839","layer":4},{"info":"compute binary expreesion, left_input=8306, right_input=2839, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=1295","layer":4},{"info":"compute unary expreesion, input=1295, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=177, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=177","layer":2},{"info":"number node, value=1751","layer":4},{"info":"number node, value=2253","layer":4},{"info":"compute binary expreesion, left_input=1751, 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":"number node, value=1447","layer":4},{"info":"number node, value=2128","layer":4},{"info":"compute binary expreesion, left_input=1447, right_input=2128, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=7150","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=7150, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=177, 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":13,"result_base":13,"text":"(∂(⪎⋱⫍2731⨽⪎⋱⫍94A)∀⇚≩⪎⋱⫍776∀⇚≩⪎⋱⫍1C35)⨐⩸⫘(⪎⋱⫍3A1C⨟⋌⩍⪎⋱⫍13A5↺(⪎⋱⫍788∸)-⪎⋱⫍A49∼⪎⋱⫍1044⊭↱(⪎⋱⫍874⨸⪁⪎⋱⫍C79))=NaN","reverse_text":"NaN=(∂(⪎⋱⫍2731⨽⪎⋱⫍94A)∀⇚≩⪎⋱⫍776∀⇚≩⪎⋱⫍1C35)⨐⩸⫘(⪎⋱⫍3A1C⨟⋌⩍⪎⋱⫍13A5↺(⪎⋱⫍788∸)-⪎⋱⫍A49∼⪎⋱⫍1044⊭↱(⪎⋱⫍874⨸⪁⪎⋱⫍C79))","cot":[{"info":"⪎⋱⫍2731⨽⪎⋱⫍94A=⪎⋱⫍-167C1C96","layer":3},{"info":"⪎⋱⫍776∀⇚≩⪎⋱⫍1C35=NaN","layer":3},{"info":"⪎⋱⫍-167C1C96∀⇚≩NaN=NaN","layer":2},{"info":"∂NaN=NaN","layer":1},{"info":"⪎⋱⫍3A1C⨟⋌⩍⪎⋱⫍13A5=NaN","layer":3},{"info":"⪎⋱⫍788∸=⪎⋱⫍108","layer":3},{"info":"NaN↺⪎⋱⫍108=⪎⋱⫍108","layer":2},{"info":"⪎⋱⫍A49∼⪎⋱⫍1044=NaN","layer":3},{"info":"⪎⋱⫍874⨸⪁⪎⋱⫍C79=⪎⋱⫍3340","layer":3},{"info":"NaN⊭↱⪎⋱⫍3340=NaN","layer":2},{"info":"⪎⋱⫍108-NaN=NaN","layer":1},{"info":"NaN⨐⩸⫘NaN=NaN","layer":0}]}
{"id":239,"expression_no_base_symbol":"(⨰⫟⨤($6371$↬$4899$⊉≛↸($4222$⊦⊿)))⪨≂(≤/(($5413$⇋≉)⊉≛↸(⨵≀≌$1202$)))","expression":"(⨰⫟⨤(⪎⋱⫍2B91↬⪎⋱⫍22CB⊉≛↸(⪎⋱⫍1BCA⊦⊿)))⪨≂(≤/((⪎⋱⫍2605⇋≉)⊉≛↸(⨵≀≌⪎⋱⫍716)))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":52,"operation_count":9,"complexity_ratio":5.777777777777778,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":6371,"base":13},"right_expr":{"type":"numeric_atoms","value":4899,"base":13}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":4222,"base":13}}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":5413,"base":13}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1202,"base":13}}}}},"used_operators":["sdazOOVcIp","Tw270M8GLb","DZ8iAZOCBD","B5M0gjZbta","14qkJME0vr","eLAdDNolq6","XIabStNQrY","srAu1WTS94"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=6371","layer":4},{"info":"number node, value=4899","layer":4},{"info":"compute binary expreesion, left_input=6371, right_input=4899, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=4222","layer":4},{"info":"compute unary expreesion, input=4222, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-12745","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-12745, 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 = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":1},{"info":"number node, value=5413","layer":4},{"info":"compute unary expreesion, input=5413, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=10728","layer":3},{"info":"number node, value=1202","layer":4},{"info":"compute unary expreesion, input=1202, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-3606","layer":3},{"info":"compute binary expreesion, left_input=10728, right_input=-3606, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=21456","layer":2},{"info":"compute unary expreesion, input=21456, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-20972","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-20972, op_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":13,"result_base":13,"text":"(⨰⫟⨤(⪎⋱⫍2B91↬⪎⋱⫍22CB⊉≛↸(⪎⋱⫍1BCA⊦⊿)))⪨≂(≤/((⪎⋱⫍2605⇋≉)⊉≛↸(⨵≀≌⪎⋱⫍716)))=NaN","reverse_text":"NaN=(⨰⫟⨤(⪎⋱⫍2B91↬⪎⋱⫍22CB⊉≛↸(⪎⋱⫍1BCA⊦⊿)))⪨≂(≤/((⪎⋱⫍2605⇋≉)⊉≛↸(⨵≀≌⪎⋱⫍716)))","cot":[{"info":"⪎⋱⫍2B91↬⪎⋱⫍22CB=NaN","layer":3},{"info":"⪎⋱⫍1BCA⊦⊿=⪎⋱⫍-5A55","layer":3},{"info":"NaN⊉≛↸⪎⋱⫍-5A55=NaN","layer":2},{"info":"⨰⫟⨤NaN=NaN","layer":1},{"info":"⪎⋱⫍2605⇋≉=⪎⋱⫍4B63","layer":3},{"info":"⨵≀≌⪎⋱⫍716=⪎⋱⫍-1845","layer":3},{"info":"⪎⋱⫍4B63⊉≛↸⪎⋱⫍-1845=⪎⋱⫍99C6","layer":2},{"info":"≤/⪎⋱⫍99C6=⪎⋱⫍-9713","layer":1},{"info":"NaN⪨≂⪎⋱⫍-9713=NaN","layer":0}]}
{"id":240,"expression_no_base_symbol":"(($2573$∀⇚≩$1006$*$4309$≭$1284$)∀⇚≩((⋗⩬⋾$4056$)↙$1619$∑⇟⊟$1474$))⊴(∥⊫(∥⊫$7680$≧⫂∧$2504$))","expression":"((⪎⋱⫍122C∀⇚≩⪎⋱⫍5C5*⪎⋱⫍1C66≭⪎⋱⫍77A)∀⇚≩((⋗⩬⋾⪎⋱⫍1B00)↙⪎⋱⫍977∑⇟⊟⪎⋱⫍895))⊴(∥⊫(∥⊫⪎⋱⫍365A≧⫂∧⪎⋱⫍11A8))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":21801,"operation_count":11,"complexity_ratio":1981.909090909091,"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":2573,"base":13},"right_expr":{"type":"numeric_atoms","value":1006,"base":13}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":4309,"base":13},"right_expr":{"type":"numeric_atoms","value":1284,"base":13}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":4056,"base":13}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1619,"base":13},"right_expr":{"type":"numeric_atoms","value":1474,"base":13}}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":7680,"base":13},"right_expr":{"type":"numeric_atoms","value":2504,"base":13}}}}},"used_operators":["Nsiff2A1zJ","LRNGc0VcxI","9HNa5Wba9A","rxpJgHHUmx","yyfyN0ffXY","DpFCA1CohY","U7g4x0WXJJ","P8v4zCKN1o","Ph9nP6C5qx"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","X99M06cbEe","W4YGzv6Whe","AHs5Up7iyr","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2573","layer":4},{"info":"number node, value=1006","layer":4},{"info":"compute binary expreesion, left_input=2573, right_input=1006, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=4309","layer":4},{"info":"number node, value=1284","layer":4},{"info":"compute binary expreesion, left_input=4309, right_input=1284, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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 = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=4056","layer":4},{"info":"compute unary expreesion, input=4056, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-12168","layer":3},{"info":"number node, value=1619","layer":4},{"info":"number node, value=1474","layer":4},{"info":"compute binary expreesion, left_input=1619, right_input=1474, 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=-12168, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-12168","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-12168, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=7680","layer":4},{"info":"number node, value=2504","layer":4},{"info":"compute binary expreesion, left_input=7680, right_input=2504, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2031","layer":3},{"info":"compute unary expreesion, input=2031, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2899","layer":2},{"info":"compute unary expreesion, input=2899, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=3767","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=3767, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍122C∀⇚≩⪎⋱⫍5C5*⪎⋱⫍1C66≭⪎⋱⫍77A)∀⇚≩((⋗⩬⋾⪎⋱⫍1B00)↙⪎⋱⫍977∑⇟⊟⪎⋱⫍895))⊴(∥⊫(∥⊫⪎⋱⫍365A≧⫂∧⪎⋱⫍11A8))=NaN","reverse_text":"NaN=((⪎⋱⫍122C∀⇚≩⪎⋱⫍5C5*⪎⋱⫍1C66≭⪎⋱⫍77A)∀⇚≩((⋗⩬⋾⪎⋱⫍1B00)↙⪎⋱⫍977∑⇟⊟⪎⋱⫍895))⊴(∥⊫(∥⊫⪎⋱⫍365A≧⫂∧⪎⋱⫍11A8))","cot":[{"info":"⪎⋱⫍122C∀⇚≩⪎⋱⫍5C5=NaN","layer":3},{"info":"⪎⋱⫍1C66≭⪎⋱⫍77A=NaN","layer":3},{"info":"NaN*NaN=NaN","layer":2},{"info":"⋗⩬⋾⪎⋱⫍1B00=⪎⋱⫍-5700","layer":3},{"info":"⪎⋱⫍977∑⇟⊟⪎⋱⫍895=NaN","layer":3},{"info":"⪎⋱⫍-5700↙NaN=⪎⋱⫍-5700","layer":2},{"info":"NaN∀⇚≩⪎⋱⫍-5700=NaN","layer":1},{"info":"⪎⋱⫍365A≧⫂∧⪎⋱⫍11A8=⪎⋱⫍C03","layer":3},{"info":"∥⊫⪎⋱⫍C03=⪎⋱⫍1420","layer":2},{"info":"∥⊫⪎⋱⫍1420=⪎⋱⫍193A","layer":1},{"info":"NaN⊴⪎⋱⫍193A=NaN","layer":0}]}
{"id":241,"expression_no_base_symbol":"(($1969$-$1756$)⨽($2281$∲⫓$2586$))⪘⫢($4786$⪘⫢$1577$↺(⊥$1042$))-(⩦⩻⨪$1703$)∀⇚≩($8059$↙$4592$)⨐⩸⫘((≉$2402$)%$4503$⨐⩸⫘$5059$)","expression":"((⪎⋱⫍B86-⪎⋱⫍A51)⨽(⪎⋱⫍1066∲⫓⪎⋱⫍123C))⪘⫢(⪎⋱⫍2242⪘⫢⪎⋱⫍944↺(⊥⪎⋱⫍622))-(⩦⩻⨪⪎⋱⫍A10)∀⇚≩(⪎⋱⫍388C↙⪎⋱⫍2123)⨐⩸⫘((≉⪎⋱⫍112A)%⪎⋱⫍2085⨐⩸⫘⪎⋱⫍23C2)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":16777,"operation_count":15,"complexity_ratio":1118.4666666666667,"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":1969,"base":13},"right_expr":{"type":"numeric_atoms","value":1756,"base":13}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2281,"base":13},"right_expr":{"type":"numeric_atoms","value":2586,"base":13}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":4786,"base":13},"right_expr":{"type":"numeric_atoms","value":1577,"base":13}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":1042,"base":13}}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":1703,"base":13}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":8059,"base":13},"right_expr":{"type":"numeric_atoms","value":4592,"base":13}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":2402,"base":13}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":4503,"base":13},"right_expr":{"type":"numeric_atoms","value":5059,"base":13}}}}},"used_operators":["rysDP5nf3Z","oacrs7FA3X","8HhzD0ZcuI","i8ToyICDmI","7j4O788W3g","Q3PJZHRvZv","fu6greOZ01","LRNGc0VcxI","2td37pGCOC","yyfyN0ffXY","k8jYdgA6NY","e1ybzncUwg"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","fu6greOZ01","3ViojmjbAp","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1969","layer":4},{"info":"number node, value=1756","layer":4},{"info":"compute binary expreesion, left_input=1969, right_input=1756, op_id = rysDP5nf3Z binary_op_definition= 'None', output=213","layer":3},{"info":"number node, value=2281","layer":4},{"info":"number node, value=2586","layer":4},{"info":"compute binary expreesion, left_input=2281, right_input=2586, 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=213, right_input=0, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-134793","layer":2},{"info":"number node, value=4786","layer":4},{"info":"number node, value=1577","layer":4},{"info":"compute binary expreesion, left_input=4786, 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=9448","layer":3},{"info":"number node, value=1042","layer":4},{"info":"compute unary expreesion, input=1042, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=9448, 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=-134793, 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=1703","layer":4},{"info":"compute unary expreesion, input=1703, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1703","layer":3},{"info":"number node, value=8059","layer":4},{"info":"number node, value=4592","layer":4},{"info":"compute binary expreesion, left_input=8059, right_input=4592, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-13776","layer":3},{"info":"compute binary expreesion, left_input=1703, right_input=-13776, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=2402","layer":4},{"info":"compute unary expreesion, input=2402, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=2933","layer":3},{"info":"number node, value=4503","layer":4},{"info":"number node, value=5059","layer":4},{"info":"compute binary expreesion, left_input=4503, right_input=5059, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=2933, 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 = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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":13,"result_base":13,"text":"((⪎⋱⫍B86-⪎⋱⫍A51)⨽(⪎⋱⫍1066∲⫓⪎⋱⫍123C))⪘⫢(⪎⋱⫍2242⪘⫢⪎⋱⫍944↺(⊥⪎⋱⫍622))-(⩦⩻⨪⪎⋱⫍A10)∀⇚≩(⪎⋱⫍388C↙⪎⋱⫍2123)⨐⩸⫘((≉⪎⋱⫍112A)%⪎⋱⫍2085⨐⩸⫘⪎⋱⫍23C2)=NaN","reverse_text":"NaN=((⪎⋱⫍B86-⪎⋱⫍A51)⨽(⪎⋱⫍1066∲⫓⪎⋱⫍123C))⪘⫢(⪎⋱⫍2242⪘⫢⪎⋱⫍944↺(⊥⪎⋱⫍622))-(⩦⩻⨪⪎⋱⫍A10)∀⇚≩(⪎⋱⫍388C↙⪎⋱⫍2123)⨐⩸⫘((≉⪎⋱⫍112A)%⪎⋱⫍2085⨐⩸⫘⪎⋱⫍23C2)","cot":[{"info":"⪎⋱⫍B86-⪎⋱⫍A51=⪎⋱⫍135","layer":3},{"info":"⪎⋱⫍1066∲⫓⪎⋱⫍123C=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍135⨽⪎⋱⫍0=⪎⋱⫍-49479","layer":2},{"info":"⪎⋱⫍2242⪘⫢⪎⋱⫍944=⪎⋱⫍43BA","layer":3},{"info":"⊥⪎⋱⫍622=NaN","layer":3},{"info":"⪎⋱⫍43BA↺NaN=NaN","layer":2},{"info":"⪎⋱⫍-49479⪘⫢NaN=NaN","layer":1},{"info":"⩦⩻⨪⪎⋱⫍A10=⪎⋱⫍A10","layer":3},{"info":"⪎⋱⫍388C↙⪎⋱⫍2123=⪎⋱⫍-6369","layer":3},{"info":"⪎⋱⫍A10∀⇚≩⪎⋱⫍-6369=NaN","layer":2},{"info":"≉⪎⋱⫍112A=⪎⋱⫍1448","layer":3},{"info":"⪎⋱⫍2085⨐⩸⫘⪎⋱⫍23C2=NaN","layer":3},{"info":"⪎⋱⫍1448%NaN=NaN","layer":2},{"info":"NaN⨐⩸⫘NaN=NaN","layer":1},{"info":"NaN-NaN=NaN","layer":0}]}
{"id":242,"expression_no_base_symbol":"∥⊫(($2957$∲⫓$8643$)⫥∨⫟($1953$%$3446$))⩚⊴⇥((⪝⪂⫅$3318$)≭$4299$↬$7079$)","expression":"∥⊫((⪎⋱⫍1466∲⫓⪎⋱⫍3C1B)⫥∨⫟(⪎⋱⫍B73%⪎⋱⫍1751))⩚⊴⇥((⪝⪂⫅⪎⋱⫍1683)≭⪎⋱⫍1C59↬⪎⋱⫍32B7)","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":315,"operation_count":8,"complexity_ratio":39.375,"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":2957,"base":13},"right_expr":{"type":"numeric_atoms","value":8643,"base":13}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1953,"base":13},"right_expr":{"type":"numeric_atoms","value":3446,"base":13}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":3318,"base":13}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":4299,"base":13},"right_expr":{"type":"numeric_atoms","value":7079,"base":13}}}}},"used_operators":["P8v4zCKN1o","NTOWxs364D","KYD54nUTWz","i8ToyICDmI","k8jYdgA6NY","rxpJgHHUmx","XTarYq4gQB","B5M0gjZbta"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","AHs5Up7iyr","9HNa5Wba9A","8w2t5hMYqp","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2957","layer":4},{"info":"number node, value=8643","layer":4},{"info":"compute binary expreesion, left_input=2957, right_input=8643, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=1953","layer":4},{"info":"number node, value=3446","layer":4},{"info":"compute binary expreesion, left_input=1953, right_input=3446, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1953","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1953, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=3318","layer":4},{"info":"compute unary expreesion, input=3318, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-487746","layer":3},{"info":"number node, value=4299","layer":4},{"info":"number node, value=7079","layer":4},{"info":"compute binary expreesion, left_input=4299, right_input=7079, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=-487746, right_input=nan, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', 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":13,"result_base":13,"text":"∥⊫((⪎⋱⫍1466∲⫓⪎⋱⫍3C1B)⫥∨⫟(⪎⋱⫍B73%⪎⋱⫍1751))⩚⊴⇥((⪝⪂⫅⪎⋱⫍1683)≭⪎⋱⫍1C59↬⪎⋱⫍32B7)=NaN","reverse_text":"NaN=∥⊫((⪎⋱⫍1466∲⫓⪎⋱⫍3C1B)⫥∨⫟(⪎⋱⫍B73%⪎⋱⫍1751))⩚⊴⇥((⪝⪂⫅⪎⋱⫍1683)≭⪎⋱⫍1C59↬⪎⋱⫍32B7)","cot":[{"info":"⪎⋱⫍1466∲⫓⪎⋱⫍3C1B=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍B73%⪎⋱⫍1751=⪎⋱⫍B73","layer":3},{"info":"⪎⋱⫍0⫥∨⫟⪎⋱⫍B73=NaN","layer":2},{"info":"⪝⪂⫅⪎⋱⫍1683=⪎⋱⫍-14100C","layer":3},{"info":"⪎⋱⫍1C59↬⪎⋱⫍32B7=NaN","layer":3},{"info":"⪎⋱⫍-14100C≭NaN=NaN","layer":2},{"info":"NaN⩚⊴⇥NaN=NaN","layer":1},{"info":"∥⊫NaN=NaN","layer":0}]}
{"id":243,"expression_no_base_symbol":"(↯⪼($1127$≋⫹))⨳⩥⨓(($4677$⫡⨏$1120$)⇼⇔∾$3745$⫸⊐$5396$)⪒(⪝⪂⫅(+⊝⨔($1190$⋝⋈⪟$3026$)))","expression":"(↯⪼(⪎⋱⫍689≋⫹))⨳⩥⨓((⪎⋱⫍218A⫡⨏⪎⋱⫍682)⇼⇔∾⪎⋱⫍1921⫸⊐⪎⋱⫍25C1)⪒(⪝⪂⫅(+⊝⨔(⪎⋱⫍707⋝⋈⪟⪎⋱⫍14BA)))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":248,"operation_count":10,"complexity_ratio":24.8,"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":1127,"base":13}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":4677,"base":13},"right_expr":{"type":"numeric_atoms","value":1120,"base":13}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":3745,"base":13},"right_expr":{"type":"numeric_atoms","value":5396,"base":13}}}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1190,"base":13},"right_expr":{"type":"numeric_atoms","value":3026,"base":13}}}}},"used_operators":["f6k1SAg4EE","nCS4ZIUYfx","8jW3W4yZS5","N41Kp7NANJ","tifHPKVTfV","QMFrweE19q","mqXw5SEYmG","XTarYq4gQB","DhbWaqg5eL","2DDjHMKMc0"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","9HNa5Wba9A","8w2t5hMYqp","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍81953","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1127","layer":4},{"info":"compute unary expreesion, input=1127, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-2254","layer":3},{"info":"compute unary expreesion, input=-2254, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=3591","layer":2},{"info":"number node, value=4677","layer":4},{"info":"number node, value=1120","layer":4},{"info":"compute binary expreesion, left_input=4677, right_input=1120, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=26408","layer":3},{"info":"number node, value=3745","layer":4},{"info":"number node, value=5396","layer":4},{"info":"compute binary expreesion, left_input=3745, right_input=5396, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=21459","layer":3},{"info":"compute binary expreesion, left_input=26408, right_input=21459, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-4949","layer":2},{"info":"compute binary expreesion, left_input=3591, right_input=-4949, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-8540","layer":1},{"info":"number node, value=1190","layer":4},{"info":"number node, value=3026","layer":4},{"info":"compute binary expreesion, left_input=1190, right_input=3026, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1190","layer":3},{"info":"compute unary expreesion, input=1190, 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 = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-223734","layer":1},{"info":"compute binary expreesion, left_input=-8540, right_input=-223734, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=232274","layer":0}],"base":13,"result_base":13,"text":"(↯⪼(⪎⋱⫍689≋⫹))⨳⩥⨓((⪎⋱⫍218A⫡⨏⪎⋱⫍682)⇼⇔∾⪎⋱⫍1921⫸⊐⪎⋱⫍25C1)⪒(⪝⪂⫅(+⊝⨔(⪎⋱⫍707⋝⋈⪟⪎⋱⫍14BA)))=⪎⋱⫍81953","reverse_text":"⪎⋱⫍81953=(↯⪼(⪎⋱⫍689≋⫹))⨳⩥⨓((⪎⋱⫍218A⫡⨏⪎⋱⫍682)⇼⇔∾⪎⋱⫍1921⫸⊐⪎⋱⫍25C1)⪒(⪝⪂⫅(+⊝⨔(⪎⋱⫍707⋝⋈⪟⪎⋱⫍14BA)))","cot":[{"info":"⪎⋱⫍689≋⫹=⪎⋱⫍-1045","layer":3},{"info":"↯⪼⪎⋱⫍-1045=⪎⋱⫍1833","layer":2},{"info":"⪎⋱⫍218A⫡⨏⪎⋱⫍682=⪎⋱⫍C035","layer":3},{"info":"⪎⋱⫍1921⫸⊐⪎⋱⫍25C1=⪎⋱⫍99C9","layer":3},{"info":"⪎⋱⫍C035⇼⇔∾⪎⋱⫍99C9=⪎⋱⫍-2339","layer":2},{"info":"⪎⋱⫍1833⨳⩥⨓⪎⋱⫍-2339=⪎⋱⫍-3B6C","layer":1},{"info":"⪎⋱⫍707⋝⋈⪟⪎⋱⫍14BA=⪎⋱⫍707","layer":3},{"info":"+⊝⨔⪎⋱⫍707=⪎⋱⫍901","layer":2},{"info":"⪝⪂⫅⪎⋱⫍901=⪎⋱⫍-7AAB4","layer":1},{"info":"⪎⋱⫍-3B6C⪒⪎⋱⫍-7AAB4=⪎⋱⫍81953","layer":0}]}
{"id":244,"expression_no_base_symbol":"((∥⊫$3393$)⋥≓≎($1483$⪄$1167$))⩷∴($3961$⪢$1121$⋥≓≎(-$1196$))+((⊄⩳↩$5389$)⨟⋌⩍(≦∁$3948$)⇋≉)","expression":"((∥⊫⪎⋱⫍1710)⋥≓≎(⪎⋱⫍8A1⪄⪎⋱⫍6BA))⩷∴(⪎⋱⫍1A59⪢⪎⋱⫍683⋥≓≎(-⪎⋱⫍710))+((⊄⩳↩⪎⋱⫍25B7)⨟⋌⩍(≦∁⪎⋱⫍1A49)⇋≉)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1621,"operation_count":12,"complexity_ratio":135.08333333333334,"tree":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":3393,"base":13}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1483,"base":13},"right_expr":{"type":"numeric_atoms","value":1167,"base":13}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":3961,"base":13},"right_expr":{"type":"numeric_atoms","value":1121,"base":13}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1196,"base":13}}}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":5389,"base":13}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":3948,"base":13}}}}},"used_operators":["W4YGzv6Whe","9FxExcQeMw","Qy55tPpLXF","P8v4zCKN1o","SUmda5xLS4","dWAJyo7jo9","t8gj7n24qd","XIabStNQrY","rGHVDoGpnC","8w2t5hMYqp","9ICcGScMcE"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3393","layer":4},{"info":"compute unary expreesion, input=3393, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=4261","layer":3},{"info":"number node, value=1483","layer":4},{"info":"number node, value=1167","layer":4},{"info":"compute binary expreesion, left_input=1483, right_input=1167, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-220241","layer":3},{"info":"compute binary expreesion, left_input=4261, right_input=-220241, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-444710","layer":2},{"info":"number node, value=3961","layer":4},{"info":"number node, value=1121","layer":4},{"info":"compute binary expreesion, left_input=3961, right_input=1121, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=1196","layer":4},{"info":"compute unary expreesion, input=1196, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1196","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1196, 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=-444710, right_input=67, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-889586","layer":1},{"info":"number node, value=5389","layer":4},{"info":"compute unary expreesion, input=5389, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-16167","layer":3},{"info":"number node, value=3948","layer":4},{"info":"compute unary expreesion, input=3948, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=3948","layer":3},{"info":"compute binary expreesion, left_input=-16167, right_input=3948, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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 = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-889586, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":13,"result_base":13,"text":"((∥⊫⪎⋱⫍1710)⋥≓≎(⪎⋱⫍8A1⪄⪎⋱⫍6BA))⩷∴(⪎⋱⫍1A59⪢⪎⋱⫍683⋥≓≎(-⪎⋱⫍710))+((⊄⩳↩⪎⋱⫍25B7)⨟⋌⩍(≦∁⪎⋱⫍1A49)⇋≉)=NaN","reverse_text":"NaN=((∥⊫⪎⋱⫍1710)⋥≓≎(⪎⋱⫍8A1⪄⪎⋱⫍6BA))⩷∴(⪎⋱⫍1A59⪢⪎⋱⫍683⋥≓≎(-⪎⋱⫍710))+((⊄⩳↩⪎⋱⫍25B7)⨟⋌⩍(≦∁⪎⋱⫍1A49)⇋≉)","cot":[{"info":"∥⊫⪎⋱⫍1710=⪎⋱⫍1C2A","layer":3},{"info":"⪎⋱⫍8A1⪄⪎⋱⫍6BA=⪎⋱⫍-79328","layer":3},{"info":"⪎⋱⫍1C2A⋥≓≎⪎⋱⫍-79328=⪎⋱⫍-127556","layer":2},{"info":"⪎⋱⫍1A59⪢⪎⋱⫍683=NaN","layer":3},{"info":"-⪎⋱⫍710=⪎⋱⫍-710","layer":3},{"info":"NaN⋥≓≎⪎⋱⫍-710=⪎⋱⫍52","layer":2},{"info":"⪎⋱⫍-127556⩷∴⪎⋱⫍52=⪎⋱⫍-251BA9","layer":1},{"info":"⊄⩳↩⪎⋱⫍25B7=⪎⋱⫍-7488","layer":3},{"info":"≦∁⪎⋱⫍1A49=⪎⋱⫍1A49","layer":3},{"info":"⪎⋱⫍-7488⨟⋌⩍⪎⋱⫍1A49=NaN","layer":2},{"info":"NaN⇋≉=NaN","layer":1},{"info":"⪎⋱⫍-251BA9+NaN=NaN","layer":0}]}
{"id":245,"expression_no_base_symbol":"(⨈⫕$5799$⨽$4661$↙$3481$⨪↰⇹$1301$)⪨≂(($1627$⋳⪒$1491$)⋝⋈⪟$1004$⨪↰⇹$2899$)⨟⋌⩍(($5956$⊭↱$1818$)⩠)","expression":"(⨈⫕⪎⋱⫍2841⨽⪎⋱⫍2177↙⪎⋱⫍177A⨪↰⇹⪎⋱⫍791)⪨≂((⪎⋱⫍982⋳⪒⪎⋱⫍8A9)⋝⋈⪟⪎⋱⫍5C3⨪↰⇹⪎⋱⫍1420)⨟⋌⩍((⪎⋱⫍2932⊭↱⪎⋱⫍A9B)⩠)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":10719,"operation_count":11,"complexity_ratio":974.4545454545455,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":5799,"base":13},"right_expr":{"type":"numeric_atoms","value":4661,"base":13}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":3481,"base":13},"right_expr":{"type":"numeric_atoms","value":1301,"base":13}}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1627,"base":13},"right_expr":{"type":"numeric_atoms","value":1491,"base":13}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1004,"base":13},"right_expr":{"type":"numeric_atoms","value":2899,"base":13}}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":5956,"base":13},"right_expr":{"type":"numeric_atoms","value":1818,"base":13}}}}},"used_operators":["sdazOOVcIp","megm06wKyl","yyfyN0ffXY","8HhzD0ZcuI","tmPS8pqC7x","rGHVDoGpnC","2DDjHMKMc0","12rbrZMWeM","sJAwomhLZr","COABgblf1C"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","tmPS8pqC7x","DpFCA1CohY","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rJVOvQCfKK","Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5799","layer":4},{"info":"number node, value=4661","layer":4},{"info":"compute binary expreesion, left_input=5799, right_input=4661, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-100897872","layer":3},{"info":"number node, value=3481","layer":4},{"info":"number node, value=1301","layer":4},{"info":"compute binary expreesion, left_input=3481, right_input=1301, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=3481","layer":3},{"info":"compute binary expreesion, left_input=-100897872, right_input=3481, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-100897872","layer":2},{"info":"compute unary expreesion, input=-100897872, 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=1627","layer":4},{"info":"number node, value=1491","layer":4},{"info":"compute binary expreesion, left_input=1627, right_input=1491, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=1476","layer":3},{"info":"number node, value=1004","layer":4},{"info":"number node, value=2899","layer":4},{"info":"compute binary expreesion, left_input=1004, right_input=2899, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1004","layer":3},{"info":"compute binary expreesion, left_input=1476, right_input=1004, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1476","layer":2},{"info":"number node, value=5956","layer":4},{"info":"number node, value=1818","layer":4},{"info":"compute binary expreesion, left_input=5956, right_input=1818, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-8271","layer":3},{"info":"compute unary expreesion, input=-8271, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=33293","layer":2},{"info":"compute binary expreesion, left_input=1476, right_input=33293, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=-21, 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":13,"result_base":13,"text":"(⨈⫕⪎⋱⫍2841⨽⪎⋱⫍2177↙⪎⋱⫍177A⨪↰⇹⪎⋱⫍791)⪨≂((⪎⋱⫍982⋳⪒⪎⋱⫍8A9)⋝⋈⪟⪎⋱⫍5C3⨪↰⇹⪎⋱⫍1420)⨟⋌⩍((⪎⋱⫍2932⊭↱⪎⋱⫍A9B)⩠)=NaN","reverse_text":"NaN=(⨈⫕⪎⋱⫍2841⨽⪎⋱⫍2177↙⪎⋱⫍177A⨪↰⇹⪎⋱⫍791)⪨≂((⪎⋱⫍982⋳⪒⪎⋱⫍8A9)⋝⋈⪟⪎⋱⫍5C3⨪↰⇹⪎⋱⫍1420)⨟⋌⩍((⪎⋱⫍2932⊭↱⪎⋱⫍A9B)⩠)","cot":[{"info":"⪎⋱⫍2841⨽⪎⋱⫍2177=⪎⋱⫍-17B993AA","layer":3},{"info":"⪎⋱⫍177A⨪↰⇹⪎⋱⫍791=⪎⋱⫍177A","layer":3},{"info":"⪎⋱⫍-17B993AA↙⪎⋱⫍177A=⪎⋱⫍-17B993AA","layer":2},{"info":"⨈⫕⪎⋱⫍-17B993AA=⪎⋱⫍-18","layer":1},{"info":"⪎⋱⫍982⋳⪒⪎⋱⫍8A9=⪎⋱⫍897","layer":3},{"info":"⪎⋱⫍5C3⨪↰⇹⪎⋱⫍1420=⪎⋱⫍5C3","layer":3},{"info":"⪎⋱⫍897⋝⋈⪟⪎⋱⫍5C3=⪎⋱⫍897","layer":2},{"info":"⪎⋱⫍2932⊭↱⪎⋱⫍A9B=⪎⋱⫍-39C3","layer":3},{"info":"⪎⋱⫍-39C3⩠=⪎⋱⫍12200","layer":2},{"info":"⪎⋱⫍897⨟⋌⩍⪎⋱⫍12200=NaN","layer":1},{"info":"⪎⋱⫍-18⪨≂NaN=NaN","layer":0}]}
{"id":246,"expression_no_base_symbol":"(((↔$5959$)⫡⨏($8543$+$1314$))%$4438$⊴$1200$⪮%⊝($7171$⪘⫢$3711$))⫥∨⫟(≉$5712$∼$4101$∀⇚≩(⫓⪴$2752$))","expression":"(((↔⪎⋱⫍2935)⫡⨏(⪎⋱⫍3B72+⪎⋱⫍7A1))%⪎⋱⫍2035⊴⪎⋱⫍714⪮%⊝(⪎⋱⫍3358⪘⫢⪎⋱⫍18C6))⫥∨⫟(≉⪎⋱⫍27A5∼⪎⋱⫍1B36∀⇚≩(⫓⪴⪎⋱⫍1339))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":5061,"operation_count":12,"complexity_ratio":421.75,"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":5959,"base":13}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":8543,"base":13},"right_expr":{"type":"numeric_atoms","value":1314,"base":13}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":4438,"base":13},"right_expr":{"type":"numeric_atoms","value":1200,"base":13}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":7171,"base":13},"right_expr":{"type":"numeric_atoms","value":3711,"base":13}}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":5712,"base":13},"right_expr":{"type":"numeric_atoms","value":4101,"base":13}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":2752,"base":13}}}}},"used_operators":["KYD54nUTWz","k8jYdgA6NY","QMFrweE19q","ruOEQAzv1W","W4YGzv6Whe","IWmyXbctLI","Nsiff2A1zJ","oacrs7FA3X","e1ybzncUwg","LRNGc0VcxI","DyGG3AbaNP","eLxqMNBOBk"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","dWAJyo7jo9","14qkJME0vr","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5959","layer":4},{"info":"compute unary expreesion, input=5959, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-5686","layer":3},{"info":"number node, value=8543","layer":4},{"info":"number node, value=1314","layer":4},{"info":"compute binary expreesion, left_input=8543, right_input=1314, op_id = W4YGzv6Whe binary_op_definition= 'None', output=9857","layer":3},{"info":"compute binary expreesion, left_input=-5686, right_input=9857, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=-7933","layer":2},{"info":"number node, value=4438","layer":4},{"info":"number node, value=1200","layer":4},{"info":"compute binary expreesion, left_input=4438, right_input=1200, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=7171","layer":4},{"info":"number node, value=3711","layer":4},{"info":"compute binary expreesion, left_input=7171, right_input=3711, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=14218","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=14218, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-7933, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=5712","layer":4},{"info":"number node, value=4101","layer":4},{"info":"compute binary expreesion, left_input=5712, right_input=4101, 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=2752","layer":4},{"info":"compute unary expreesion, input=2752, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=7573504","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=7573504, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=nan, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(((↔⪎⋱⫍2935)⫡⨏(⪎⋱⫍3B72+⪎⋱⫍7A1))%⪎⋱⫍2035⊴⪎⋱⫍714⪮%⊝(⪎⋱⫍3358⪘⫢⪎⋱⫍18C6))⫥∨⫟(≉⪎⋱⫍27A5∼⪎⋱⫍1B36∀⇚≩(⫓⪴⪎⋱⫍1339))=NaN","reverse_text":"NaN=(((↔⪎⋱⫍2935)⫡⨏(⪎⋱⫍3B72+⪎⋱⫍7A1))%⪎⋱⫍2035⊴⪎⋱⫍714⪮%⊝(⪎⋱⫍3358⪘⫢⪎⋱⫍18C6))⫥∨⫟(≉⪎⋱⫍27A5∼⪎⋱⫍1B36∀⇚≩(⫓⪴⪎⋱⫍1339))","cot":[{"info":"↔⪎⋱⫍2935=⪎⋱⫍-2785","layer":3},{"info":"⪎⋱⫍3B72+⪎⋱⫍7A1=⪎⋱⫍4643","layer":3},{"info":"⪎⋱⫍-2785⫡⨏⪎⋱⫍4643=⪎⋱⫍-37C3","layer":2},{"info":"⪎⋱⫍2035⊴⪎⋱⫍714=NaN","layer":3},{"info":"⪎⋱⫍3358⪘⫢⪎⋱⫍18C6=⪎⋱⫍6619","layer":3},{"info":"NaN⪮%⊝⪎⋱⫍6619=NaN","layer":2},{"info":"⪎⋱⫍-37C3%NaN=NaN","layer":1},{"info":"⪎⋱⫍27A5∼⪎⋱⫍1B36=NaN","layer":3},{"info":"⫓⪴⪎⋱⫍1339=⪎⋱⫍1752283","layer":3},{"info":"NaN∀⇚≩⪎⋱⫍1752283=NaN","layer":2},{"info":"≉NaN=NaN","layer":1},{"info":"NaN⫥∨⫟NaN=NaN","layer":0}]}
{"id":247,"expression_no_base_symbol":"(≤/(↩$1968$)↙(↯⪼$1138$))*(($8846$⪒$1177$)⨽$6905$⪘⫢$1349$)⊴(↩(⊥$3564$))","expression":"(≤/(↩⪎⋱⫍B85)↙(↯⪼⪎⋱⫍697))*((⪎⋱⫍4046⪒⪎⋱⫍6C7)⨽⪎⋱⫍31B2⪘⫢⪎⋱⫍7CA)⊴(↩(⊥⪎⋱⫍1812))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":10127,"operation_count":11,"complexity_ratio":920.6363636363636,"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":1968,"base":13}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1138,"base":13}}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":8846,"base":13},"right_expr":{"type":"numeric_atoms","value":1177,"base":13}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":6905,"base":13},"right_expr":{"type":"numeric_atoms","value":1349,"base":13}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":3564,"base":13}}}}},"used_operators":["9HNa5Wba9A","eLAdDNolq6","yyfyN0ffXY","jLgFTUHLKL","8jW3W4yZS5","Nsiff2A1zJ","8HhzD0ZcuI","f6k1SAg4EE","oacrs7FA3X","Q3PJZHRvZv"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","tmPS8pqC7x","DpFCA1CohY","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","dWAJyo7jo9","14qkJME0vr","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","fu6greOZ01"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1968","layer":4},{"info":"compute unary expreesion, input=1968, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-12964","layer":3},{"info":"number node, value=1138","layer":4},{"info":"compute unary expreesion, input=1138, 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=-12964, right_input=-21, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-12964","layer":2},{"info":"compute unary expreesion, input=-12964, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=13448","layer":1},{"info":"number node, value=8846","layer":4},{"info":"number node, value=1177","layer":4},{"info":"compute binary expreesion, left_input=8846, right_input=1177, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-10023","layer":3},{"info":"number node, value=6905","layer":4},{"info":"number node, value=1349","layer":4},{"info":"compute binary expreesion, left_input=6905, right_input=1349, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=13686","layer":3},{"info":"compute binary expreesion, left_input=-10023, right_input=13686, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-301421331","layer":2},{"info":"number node, value=3564","layer":4},{"info":"compute unary expreesion, input=3564, op_id = Q3PJZHRvZv, unary_op_definition = '⊥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":"compute binary expreesion, left_input=-301421331, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=13448, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":13,"result_base":13,"text":"(≤/(↩⪎⋱⫍B85)↙(↯⪼⪎⋱⫍697))*((⪎⋱⫍4046⪒⪎⋱⫍6C7)⨽⪎⋱⫍31B2⪘⫢⪎⋱⫍7CA)⊴(↩(⊥⪎⋱⫍1812))=NaN","reverse_text":"NaN=(≤/(↩⪎⋱⫍B85)↙(↯⪼⪎⋱⫍697))*((⪎⋱⫍4046⪒⪎⋱⫍6C7)⨽⪎⋱⫍31B2⪘⫢⪎⋱⫍7CA)⊴(↩(⊥⪎⋱⫍1812))","cot":[{"info":"↩⪎⋱⫍B85=⪎⋱⫍-5B93","layer":3},{"info":"↯⪼⪎⋱⫍697=⪎⋱⫍-18","layer":3},{"info":"⪎⋱⫍-5B93↙⪎⋱⫍-18=⪎⋱⫍-5B93","layer":2},{"info":"≤/⪎⋱⫍-5B93=⪎⋱⫍6176","layer":1},{"info":"⪎⋱⫍4046⪒⪎⋱⫍6C7=⪎⋱⫍-4740","layer":3},{"info":"⪎⋱⫍31B2⪘⫢⪎⋱⫍7CA=⪎⋱⫍62CA","layer":3},{"info":"⪎⋱⫍-4740⨽⪎⋱⫍62CA=⪎⋱⫍-4A5A7A23","layer":2},{"info":"⊥⪎⋱⫍1812=NaN","layer":3},{"info":"↩NaN=NaN","layer":2},{"info":"⪎⋱⫍-4A5A7A23⊴NaN=NaN","layer":1},{"info":"⪎⋱⫍6176*NaN=NaN","layer":0}]}
{"id":248,"expression_no_base_symbol":"((⊙↵-$3461$)⪢($1027$⨓$1610$)⩠)%((⫓⪴$8536$)⨳⩥⨓$3156$+⇶⊼$7920$)⩚⊴⇥(↣≠⋷(∥⊫$1635$))","expression":"((⊙↵-⪎⋱⫍1763)⪢(⪎⋱⫍610⨓⪎⋱⫍96B)⩠)%((⫓⪴⪎⋱⫍3B68)⨳⩥⨓⪎⋱⫍158A+⇶⊼⪎⋱⫍37B3)⩚⊴⇥(↣≠⋷(∥⊫⪎⋱⫍98A))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":15305,"operation_count":11,"complexity_ratio":1391.3636363636363,"tree":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":3461,"base":13}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1027,"base":13},"right_expr":{"type":"numeric_atoms","value":1610,"base":13}}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":8536,"base":13}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":3156,"base":13},"right_expr":{"type":"numeric_atoms","value":7920,"base":13}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":1635,"base":13}}}}},"used_operators":["k8jYdgA6NY","sJAwomhLZr","dWAJyo7jo9","oWn0xqSxBt","3ViojmjbAp","NTOWxs364D","nCS4ZIUYfx","eLxqMNBOBk","TpPTUOHfaN","Asc51vEJeQ","P8v4zCKN1o"],"dependent_operators":["rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","k8jYdgA6NY","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","9HNa5Wba9A","AHs5Up7iyr","XhwjNDsVaA","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3461","layer":4},{"info":"compute unary expreesion, input=3461, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=1027","layer":4},{"info":"number node, value=1610","layer":4},{"info":"compute binary expreesion, left_input=1027, right_input=1610, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1613","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=-1613, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=nan","layer":1},{"info":"number node, value=8536","layer":4},{"info":"compute unary expreesion, input=8536, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=72863296","layer":3},{"info":"number node, value=3156","layer":4},{"info":"number node, value=7920","layer":4},{"info":"compute binary expreesion, left_input=3156, right_input=7920, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=72863296, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":2},{"info":"number node, value=1635","layer":4},{"info":"compute unary expreesion, input=1635, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2503","layer":3},{"info":"compute unary expreesion, input=2503, 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 = 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 = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⊙↵-⪎⋱⫍1763)⪢(⪎⋱⫍610⨓⪎⋱⫍96B)⩠)%((⫓⪴⪎⋱⫍3B68)⨳⩥⨓⪎⋱⫍158A+⇶⊼⪎⋱⫍37B3)⩚⊴⇥(↣≠⋷(∥⊫⪎⋱⫍98A))=NaN","reverse_text":"NaN=((⊙↵-⪎⋱⫍1763)⪢(⪎⋱⫍610⨓⪎⋱⫍96B)⩠)%((⫓⪴⪎⋱⫍3B68)⨳⩥⨓⪎⋱⫍158A+⇶⊼⪎⋱⫍37B3)⩚⊴⇥(↣≠⋷(∥⊫⪎⋱⫍98A))","cot":[{"info":"⊙↵-⪎⋱⫍1763=⪎⋱⫍-1","layer":3},{"info":"⪎⋱⫍610⨓⪎⋱⫍96B=⪎⋱⫍-971","layer":3},{"info":"⪎⋱⫍-1⪢⪎⋱⫍-971=NaN","layer":2},{"info":"NaN⩠=NaN","layer":1},{"info":"⫓⪴⪎⋱⫍3B68=⪎⋱⫍12131B9C","layer":3},{"info":"⪎⋱⫍158A+⇶⊼⪎⋱⫍37B3=NaN","layer":3},{"info":"⪎⋱⫍12131B9C⨳⩥⨓NaN=NaN","layer":2},{"info":"∥⊫⪎⋱⫍98A=⪎⋱⫍11A7","layer":3},{"info":"↣≠⋷⪎⋱⫍11A7=NaN","layer":2},{"info":"NaN⩚⊴⇥NaN=NaN","layer":1},{"info":"NaN%NaN=NaN","layer":0}]}
{"id":249,"expression_no_base_symbol":"⨰⫟⨤($5201$⪢$5487$⊉≛↸$1260$⨐⩸⫘$2671$⋷(≤/$1567$⪢$1429$))","expression":"⨰⫟⨤(⪎⋱⫍24A1⪢⪎⋱⫍2661⊉≛↸⪎⋱⫍75C⨐⩸⫘⪎⋱⫍12A6⋷(≤/⪎⋱⫍937⪢⪎⋱⫍85C))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":9249,"operation_count":7,"complexity_ratio":1321.2857142857142,"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":5201,"base":13},"right_expr":{"type":"numeric_atoms","value":5487,"base":13}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1260,"base":13},"right_expr":{"type":"numeric_atoms","value":2671,"base":13}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1567,"base":13},"right_expr":{"type":"numeric_atoms","value":1429,"base":13}}}}},"used_operators":["Tw270M8GLb","23Mk6UjR3U","DZ8iAZOCBD","dWAJyo7jo9","fu6greOZ01","eLAdDNolq6"],"dependent_operators":["sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","3ViojmjbAp","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=5201","layer":4},{"info":"number node, value=5487","layer":4},{"info":"compute binary expreesion, left_input=5201, right_input=5487, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=1260","layer":4},{"info":"number node, value=2671","layer":4},{"info":"compute binary expreesion, left_input=1260, right_input=2671, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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 = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":2},{"info":"number node, value=1567","layer":4},{"info":"number node, value=1429","layer":4},{"info":"compute binary expreesion, left_input=1567, right_input=1429, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=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 = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⨰⫟⨤(⪎⋱⫍24A1⪢⪎⋱⫍2661⊉≛↸⪎⋱⫍75C⨐⩸⫘⪎⋱⫍12A6⋷(≤/⪎⋱⫍937⪢⪎⋱⫍85C))=NaN","reverse_text":"NaN=⨰⫟⨤(⪎⋱⫍24A1⪢⪎⋱⫍2661⊉≛↸⪎⋱⫍75C⨐⩸⫘⪎⋱⫍12A6⋷(≤/⪎⋱⫍937⪢⪎⋱⫍85C))","cot":[{"info":"⪎⋱⫍24A1⪢⪎⋱⫍2661=NaN","layer":3},{"info":"⪎⋱⫍75C⨐⩸⫘⪎⋱⫍12A6=NaN","layer":3},{"info":"NaN⊉≛↸NaN=NaN","layer":2},{"info":"⪎⋱⫍937⪢⪎⋱⫍85C=NaN","layer":3},{"info":"≤/NaN=NaN","layer":2},{"info":"NaN⋷NaN=NaN","layer":1},{"info":"⨰⫟⨤NaN=NaN","layer":0}]}
{"id":250,"expression_no_base_symbol":"(↩($6193$⫸⊐$2803$)⪘⫢($1035$∑⇟⊟$5372$))⋷(⨰⫟⨤($2269$⨵⪆$1600$))↙($1886$⫸⊐$1242$⊭↱$1027$⨐⩸⫘$2570$)","expression":"(↩(⪎⋱⫍2A85⫸⊐⪎⋱⫍1378)⪘⫢(⪎⋱⫍618∑⇟⊟⪎⋱⫍25A3))⋷(⨰⫟⨤(⪎⋱⫍1057⨵⪆⪎⋱⫍961))↙(⪎⋱⫍B21⫸⊐⪎⋱⫍747⊭↱⪎⋱⫍610⨐⩸⫘⪎⋱⫍1229)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":980,"operation_count":11,"complexity_ratio":89.0909090909091,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":6193,"base":13},"right_expr":{"type":"numeric_atoms","value":2803,"base":13}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1035,"base":13},"right_expr":{"type":"numeric_atoms","value":5372,"base":13}}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2269,"base":13},"right_expr":{"type":"numeric_atoms","value":1600,"base":13}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1886,"base":13},"right_expr":{"type":"numeric_atoms","value":1242,"base":13}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1027,"base":13},"right_expr":{"type":"numeric_atoms","value":2570,"base":13}}}}},"used_operators":["23Mk6UjR3U","jLgFTUHLKL","oacrs7FA3X","mqXw5SEYmG","U7g4x0WXJJ","yyfyN0ffXY","Tw270M8GLb","2DQ55sFlQl","COABgblf1C","fu6greOZ01"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","tmPS8pqC7x","DpFCA1CohY","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=6193","layer":4},{"info":"number node, value=2803","layer":4},{"info":"compute binary expreesion, left_input=6193, right_input=2803, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=11087","layer":3},{"info":"number node, value=1035","layer":4},{"info":"number node, value=5372","layer":4},{"info":"compute binary expreesion, left_input=1035, right_input=5372, 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=11087, right_input=nan, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":2},{"info":"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=2269","layer":4},{"info":"number node, value=1600","layer":4},{"info":"compute binary expreesion, left_input=2269, right_input=1600, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":2},{"info":"number node, value=1886","layer":4},{"info":"number node, value=1242","layer":4},{"info":"compute binary expreesion, left_input=1886, right_input=1242, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=4843","layer":3},{"info":"number node, value=1027","layer":4},{"info":"number node, value=2570","layer":4},{"info":"compute binary expreesion, left_input=1027, right_input=2570, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=4843, 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 = 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 = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(↩(⪎⋱⫍2A85⫸⊐⪎⋱⫍1378)⪘⫢(⪎⋱⫍618∑⇟⊟⪎⋱⫍25A3))⋷(⨰⫟⨤(⪎⋱⫍1057⨵⪆⪎⋱⫍961))↙(⪎⋱⫍B21⫸⊐⪎⋱⫍747⊭↱⪎⋱⫍610⨐⩸⫘⪎⋱⫍1229)=NaN","reverse_text":"NaN=(↩(⪎⋱⫍2A85⫸⊐⪎⋱⫍1378)⪘⫢(⪎⋱⫍618∑⇟⊟⪎⋱⫍25A3))⋷(⨰⫟⨤(⪎⋱⫍1057⨵⪆⪎⋱⫍961))↙(⪎⋱⫍B21⫸⊐⪎⋱⫍747⊭↱⪎⋱⫍610⨐⩸⫘⪎⋱⫍1229)","cot":[{"info":"⪎⋱⫍2A85⫸⊐⪎⋱⫍1378=⪎⋱⫍507B","layer":3},{"info":"⪎⋱⫍618∑⇟⊟⪎⋱⫍25A3=NaN","layer":3},{"info":"⪎⋱⫍507B⪘⫢NaN=NaN","layer":2},{"info":"↩NaN=NaN","layer":1},{"info":"⪎⋱⫍1057⨵⪆⪎⋱⫍961=⪎⋱⫍C4","layer":3},{"info":"⨰⫟⨤⪎⋱⫍C4=NaN","layer":2},{"info":"⪎⋱⫍B21⫸⊐⪎⋱⫍747=⪎⋱⫍2287","layer":3},{"info":"⪎⋱⫍610⨐⩸⫘⪎⋱⫍1229=NaN","layer":3},{"info":"⪎⋱⫍2287⊭↱NaN=NaN","layer":2},{"info":"NaN↙NaN=NaN","layer":1},{"info":"NaN⋷NaN=NaN","layer":0}]}
{"id":251,"expression_no_base_symbol":"↔(⋗⩬⋾($5966$⨐⩸⫘$2895$)≹⇙⪍(⫓⪴$1369$))","expression":"↔(⋗⩬⋾(⪎⋱⫍293C⨐⩸⫘⪎⋱⫍1419)≹⇙⪍(⫓⪴⪎⋱⫍814))","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":1396,"operation_count":5,"complexity_ratio":279.2,"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":5966,"base":13},"right_expr":{"type":"numeric_atoms","value":2895,"base":13}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":1369,"base":13}}}}},"used_operators":["ruOEQAzv1W","DpFCA1CohY","AHs5Up7iyr","fu6greOZ01","eLxqMNBOBk"],"dependent_operators":["XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","3ViojmjbAp","9HNa5Wba9A"],"result":"⪎⋱⫍-A4","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5966","layer":4},{"info":"number node, value=2895","layer":4},{"info":"compute binary expreesion, left_input=5966, right_input=2895, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=1369","layer":4},{"info":"compute unary expreesion, input=1369, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=1874161","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1874161, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 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":13,"result_base":13,"text":"↔(⋗⩬⋾(⪎⋱⫍293C⨐⩸⫘⪎⋱⫍1419)≹⇙⪍(⫓⪴⪎⋱⫍814))=⪎⋱⫍-A4","reverse_text":"⪎⋱⫍-A4=↔(⋗⩬⋾(⪎⋱⫍293C⨐⩸⫘⪎⋱⫍1419)≹⇙⪍(⫓⪴⪎⋱⫍814))","cot":[{"info":"⪎⋱⫍293C⨐⩸⫘⪎⋱⫍1419=NaN","layer":3},{"info":"⫓⪴⪎⋱⫍814=⪎⋱⫍508093","layer":3},{"info":"NaN≹⇙⪍⪎⋱⫍508093=NaN","layer":2},{"info":"⋗⩬⋾NaN=NaN","layer":1},{"info":"↔NaN=⪎⋱⫍-A4","layer":0}]}
{"id":252,"expression_no_base_symbol":"($1688$⨐⩸⫘$4079$⋷$5646$-$1985$)⪛(($7737$⨸⪁$1219$)≭(⊥$4132$))⨵⪆(⊙↵-(($3093$⩠)⨸⪁(⨞⊢$1044$)))","expression":"(⪎⋱⫍9CB⨐⩸⫘⪎⋱⫍1B1A⋷⪎⋱⫍2754-⪎⋱⫍B99)⪛((⪎⋱⫍36A2⨸⪁⪎⋱⫍72A)≭(⊥⪎⋱⫍1B5B))⨵⪆(⊙↵-((⪎⋱⫍153C⩠)⨸⪁(⨞⊢⪎⋱⫍624)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2505,"operation_count":12,"complexity_ratio":208.75,"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":1688,"base":13},"right_expr":{"type":"numeric_atoms","value":4079,"base":13}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":5646,"base":13},"right_expr":{"type":"numeric_atoms","value":1985,"base":13}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":7737,"base":13},"right_expr":{"type":"numeric_atoms","value":1219,"base":13}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":4132,"base":13}}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":3093,"base":13}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":1044,"base":13}}}}},"used_operators":["2DQ55sFlQl","uFcxV4UQCh","23Mk6UjR3U","fu6greOZ01","rysDP5nf3Z","rxpJgHHUmx","g55IO6H4Gj","Q3PJZHRvZv","oWn0xqSxBt","sJAwomhLZr","xUOZtlo3hN"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","AHs5Up7iyr","W4YGzv6Whe","fu6greOZ01","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍C4","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1688","layer":4},{"info":"number node, value=4079","layer":4},{"info":"compute binary expreesion, left_input=1688, right_input=4079, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=5646","layer":4},{"info":"number node, value=1985","layer":4},{"info":"compute binary expreesion, left_input=5646, right_input=1985, op_id = rysDP5nf3Z binary_op_definition= 'None', output=3661","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3661, 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=7737","layer":4},{"info":"number node, value=1219","layer":4},{"info":"compute binary expreesion, left_input=7737, right_input=1219, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=17912","layer":3},{"info":"number node, value=4132","layer":4},{"info":"compute unary expreesion, input=4132, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=17912, right_input=nan, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":1},{"info":"number node, value=3093","layer":4},{"info":"compute unary expreesion, input=3093, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"number node, value=1044","layer":4},{"info":"compute unary expreesion, input=1044, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1218","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-1218, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-2436","layer":2},{"info":"compute unary expreesion, input=-2436, 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 = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍9CB⨐⩸⫘⪎⋱⫍1B1A⋷⪎⋱⫍2754-⪎⋱⫍B99)⪛((⪎⋱⫍36A2⨸⪁⪎⋱⫍72A)≭(⊥⪎⋱⫍1B5B))⨵⪆(⊙↵-((⪎⋱⫍153C⩠)⨸⪁(⨞⊢⪎⋱⫍624)))=⪎⋱⫍C4","reverse_text":"⪎⋱⫍C4=(⪎⋱⫍9CB⨐⩸⫘⪎⋱⫍1B1A⋷⪎⋱⫍2754-⪎⋱⫍B99)⪛((⪎⋱⫍36A2⨸⪁⪎⋱⫍72A)≭(⊥⪎⋱⫍1B5B))⨵⪆(⊙↵-((⪎⋱⫍153C⩠)⨸⪁(⨞⊢⪎⋱⫍624)))","cot":[{"info":"⪎⋱⫍9CB⨐⩸⫘⪎⋱⫍1B1A=NaN","layer":3},{"info":"⪎⋱⫍2754-⪎⋱⫍B99=⪎⋱⫍1888","layer":3},{"info":"NaN⋷⪎⋱⫍1888=NaN","layer":2},{"info":"⪎⋱⫍36A2⨸⪁⪎⋱⫍72A=⪎⋱⫍81CB","layer":3},{"info":"⊥⪎⋱⫍1B5B=NaN","layer":3},{"info":"⪎⋱⫍81CB≭NaN=NaN","layer":2},{"info":"NaN⪛NaN=NaN","layer":1},{"info":"⪎⋱⫍153C⩠=⪎⋱⫍0","layer":3},{"info":"⨞⊢⪎⋱⫍624=⪎⋱⫍-729","layer":3},{"info":"⪎⋱⫍0⨸⪁⪎⋱⫍-729=⪎⋱⫍-1155","layer":2},{"info":"⊙↵-⪎⋱⫍-1155=⪎⋱⫍121","layer":1},{"info":"NaN⨵⪆⪎⋱⫍121=⪎⋱⫍C4","layer":0}]}
{"id":253,"expression_no_base_symbol":"($4824$⨓$3810$)⪢($4084$⪘⫢$3304$)+⇶⊼(+⊝⨔($1046$⪛$1761$))↙(≤/((↽≂$2551$)+($1990$⪨≂$1536$)))","expression":"(⪎⋱⫍2271⨓⪎⋱⫍1971)⪢(⪎⋱⫍1B22⪘⫢⪎⋱⫍1672)+⇶⊼(+⊝⨔(⪎⋱⫍626⪛⪎⋱⫍A56))↙(≤/((↽≂⪎⋱⫍1213)+(⪎⋱⫍BA1⪨≂⪎⋱⫍912)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":13977,"operation_count":11,"complexity_ratio":1270.6363636363637,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":4824,"base":13},"right_expr":{"type":"numeric_atoms","value":3810,"base":13}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":4084,"base":13},"right_expr":{"type":"numeric_atoms","value":3304,"base":13}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1046,"base":13},"right_expr":{"type":"numeric_atoms","value":1761,"base":13}}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":2551,"base":13}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1990,"base":13},"right_expr":{"type":"numeric_atoms","value":1536,"base":13}}}}},"used_operators":["yyfyN0ffXY","TpPTUOHfaN","dWAJyo7jo9","3ViojmjbAp","oacrs7FA3X","DhbWaqg5eL","uFcxV4UQCh","eLAdDNolq6","W4YGzv6Whe","u6S6b8DprG","sdazOOVcIp"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","AHs5Up7iyr","k8jYdgA6NY","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4824","layer":4},{"info":"number node, value=3810","layer":4},{"info":"compute binary expreesion, left_input=4824, right_input=3810, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3813","layer":3},{"info":"number node, value=4084","layer":4},{"info":"number node, value=3304","layer":4},{"info":"compute binary expreesion, left_input=4084, right_input=3304, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=8044","layer":3},{"info":"compute binary expreesion, left_input=-3813, right_input=8044, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=1046","layer":4},{"info":"number node, value=1761","layer":4},{"info":"compute binary expreesion, left_input=1046, right_input=1761, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1046","layer":3},{"info":"compute unary expreesion, input=1046, 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 = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=2551","layer":4},{"info":"compute unary expreesion, input=2551, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-5102","layer":3},{"info":"number node, value=1990","layer":4},{"info":"number node, value=1536","layer":4},{"info":"compute binary expreesion, left_input=1990, right_input=1536, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=1010","layer":3},{"info":"compute binary expreesion, left_input=-5102, right_input=1010, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-4092","layer":2},{"info":"compute unary expreesion, input=-4092, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=4576","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=4576, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍2271⨓⪎⋱⫍1971)⪢(⪎⋱⫍1B22⪘⫢⪎⋱⫍1672)+⇶⊼(+⊝⨔(⪎⋱⫍626⪛⪎⋱⫍A56))↙(≤/((↽≂⪎⋱⫍1213)+(⪎⋱⫍BA1⪨≂⪎⋱⫍912)))=NaN","reverse_text":"NaN=(⪎⋱⫍2271⨓⪎⋱⫍1971)⪢(⪎⋱⫍1B22⪘⫢⪎⋱⫍1672)+⇶⊼(+⊝⨔(⪎⋱⫍626⪛⪎⋱⫍A56))↙(≤/((↽≂⪎⋱⫍1213)+(⪎⋱⫍BA1⪨≂⪎⋱⫍912)))","cot":[{"info":"⪎⋱⫍2271⨓⪎⋱⫍1971=⪎⋱⫍-1974","layer":3},{"info":"⪎⋱⫍1B22⪘⫢⪎⋱⫍1672=⪎⋱⫍387A","layer":3},{"info":"⪎⋱⫍-1974⪢⪎⋱⫍387A=NaN","layer":2},{"info":"⪎⋱⫍626⪛⪎⋱⫍A56=⪎⋱⫍626","layer":3},{"info":"+⊝⨔⪎⋱⫍626=⪎⋱⫍901","layer":2},{"info":"NaN+⇶⊼⪎⋱⫍901=NaN","layer":1},{"info":"↽≂⪎⋱⫍1213=⪎⋱⫍-2426","layer":3},{"info":"⪎⋱⫍BA1⪨≂⪎⋱⫍912=⪎⋱⫍5C9","layer":3},{"info":"⪎⋱⫍-2426+⪎⋱⫍5C9=⪎⋱⫍-1B2A","layer":2},{"info":"≤/⪎⋱⫍-1B2A=⪎⋱⫍2110","layer":1},{"info":"NaN↙⪎⋱⫍2110=NaN","layer":0}]}
{"id":254,"expression_no_base_symbol":"(($1002$≧⫂∧$1633$)∼($1972$⫥∨⫟$5060$)↬($3296$↬$3553$∑⇟⊟(↥$4099$)))∼((≉$1941$)⊭∹↮)⊴(↔($1075$⋷$8116$))","expression":"((⪎⋱⫍5C1≧⫂∧⪎⋱⫍988)∼(⪎⋱⫍B89⫥∨⫟⪎⋱⫍23C3)↬(⪎⋱⫍1667↬⪎⋱⫍1804∑⇟⊟(↥⪎⋱⫍1B34)))∼((≉⪎⋱⫍B64)⊭∹↮)⊴(↔(⪎⋱⫍649⋷⪎⋱⫍3904))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":15533,"operation_count":13,"complexity_ratio":1194.8461538461538,"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":1002,"base":13},"right_expr":{"type":"numeric_atoms","value":1633,"base":13}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1972,"base":13},"right_expr":{"type":"numeric_atoms","value":5060,"base":13}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":3296,"base":13},"right_expr":{"type":"numeric_atoms","value":3553,"base":13}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":4099,"base":13}}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1941,"base":13}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1075,"base":13},"right_expr":{"type":"numeric_atoms","value":8116,"base":13}}}}},"used_operators":["DyGG3AbaNP","B5M0gjZbta","Ph9nP6C5qx","KYD54nUTWz","U7g4x0WXJJ","A8NUZmVepG","Nsiff2A1zJ","xNBdhnnwKq","e1ybzncUwg","ruOEQAzv1W","23Mk6UjR3U"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","k8jYdgA6NY","dWAJyo7jo9","14qkJME0vr","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1002","layer":4},{"info":"number node, value=1633","layer":4},{"info":"compute binary expreesion, left_input=1002, right_input=1633, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1160","layer":3},{"info":"number node, value=1972","layer":4},{"info":"number node, value=5060","layer":4},{"info":"compute binary expreesion, left_input=1972, right_input=5060, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1160, 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=3296","layer":4},{"info":"number node, value=3553","layer":4},{"info":"compute binary expreesion, left_input=3296, right_input=3553, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=4099","layer":4},{"info":"compute unary expreesion, input=4099, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=19","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=19, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=1941","layer":4},{"info":"compute unary expreesion, input=1941, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=2472","layer":3},{"info":"compute unary expreesion, input=2472, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=4944","layer":2},{"info":"number node, value=1075","layer":4},{"info":"number node, value=8116","layer":4},{"info":"compute binary expreesion, left_input=1075, right_input=8116, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=15157","layer":3},{"info":"compute unary expreesion, input=15157, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-14884","layer":2},{"info":"compute binary expreesion, left_input=4944, right_input=-14884, 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 = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍5C1≧⫂∧⪎⋱⫍988)∼(⪎⋱⫍B89⫥∨⫟⪎⋱⫍23C3)↬(⪎⋱⫍1667↬⪎⋱⫍1804∑⇟⊟(↥⪎⋱⫍1B34)))∼((≉⪎⋱⫍B64)⊭∹↮)⊴(↔(⪎⋱⫍649⋷⪎⋱⫍3904))=NaN","reverse_text":"NaN=((⪎⋱⫍5C1≧⫂∧⪎⋱⫍988)∼(⪎⋱⫍B89⫥∨⫟⪎⋱⫍23C3)↬(⪎⋱⫍1667↬⪎⋱⫍1804∑⇟⊟(↥⪎⋱⫍1B34)))∼((≉⪎⋱⫍B64)⊭∹↮)⊴(↔(⪎⋱⫍649⋷⪎⋱⫍3904))","cot":[{"info":"⪎⋱⫍5C1≧⫂∧⪎⋱⫍988=⪎⋱⫍6B3","layer":3},{"info":"⪎⋱⫍B89⫥∨⫟⪎⋱⫍23C3=NaN","layer":3},{"info":"⪎⋱⫍6B3∼NaN=NaN","layer":2},{"info":"⪎⋱⫍1667↬⪎⋱⫍1804=NaN","layer":3},{"info":"↥⪎⋱⫍1B34=⪎⋱⫍16","layer":3},{"info":"NaN∑⇟⊟⪎⋱⫍16=NaN","layer":2},{"info":"NaN↬NaN=NaN","layer":1},{"info":"≉⪎⋱⫍B64=⪎⋱⫍1182","layer":3},{"info":"⪎⋱⫍1182⊭∹↮=⪎⋱⫍2334","layer":2},{"info":"⪎⋱⫍649⋷⪎⋱⫍3904=⪎⋱⫍6B8C","layer":3},{"info":"↔⪎⋱⫍6B8C=⪎⋱⫍-6A0C","layer":2},{"info":"⪎⋱⫍2334⊴⪎⋱⫍-6A0C=NaN","layer":1},{"info":"NaN∼NaN=NaN","layer":0}]}
{"id":255,"expression_no_base_symbol":"($7389$≹⇙⪍$2119$⪛(↔$5456$)⨸⪁$1460$∼$2023$⇷$3409$∼$1047$)⩤","expression":"(⪎⋱⫍3495≹⇙⪍⪎⋱⫍C70⪛(↔⪎⋱⫍2639)⨸⪁⪎⋱⫍884∼⪎⋱⫍BC8⇷⪎⋱⫍1723∼⪎⋱⫍627)⩤","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":121,"operation_count":8,"complexity_ratio":15.125,"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":7389,"base":13},"right_expr":{"type":"numeric_atoms","value":2119,"base":13}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":5456,"base":13}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1460,"base":13},"right_expr":{"type":"numeric_atoms","value":2023,"base":13}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":3409,"base":13},"right_expr":{"type":"numeric_atoms","value":1047,"base":13}}}}},"used_operators":["Z2TMIBDE3Q","g55IO6H4Gj","uFcxV4UQCh","AHs5Up7iyr","ruOEQAzv1W","mp7IySMOzn","DyGG3AbaNP"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","dWAJyo7jo9","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=7389","layer":4},{"info":"number node, value=2119","layer":4},{"info":"compute binary expreesion, left_input=7389, right_input=2119, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=5456","layer":4},{"info":"compute unary expreesion, input=5456, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-5183","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-5183, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":2},{"info":"number node, value=1460","layer":4},{"info":"number node, value=2023","layer":4},{"info":"compute binary expreesion, left_input=1460, right_input=2023, 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=3409","layer":4},{"info":"number node, value=1047","layer":4},{"info":"compute binary expreesion, left_input=3409, right_input=1047, 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 = 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 = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍3495≹⇙⪍⪎⋱⫍C70⪛(↔⪎⋱⫍2639)⨸⪁⪎⋱⫍884∼⪎⋱⫍BC8⇷⪎⋱⫍1723∼⪎⋱⫍627)⩤=NaN","reverse_text":"NaN=(⪎⋱⫍3495≹⇙⪍⪎⋱⫍C70⪛(↔⪎⋱⫍2639)⨸⪁⪎⋱⫍884∼⪎⋱⫍BC8⇷⪎⋱⫍1723∼⪎⋱⫍627)⩤","cot":[{"info":"⪎⋱⫍3495≹⇙⪍⪎⋱⫍C70=NaN","layer":3},{"info":"↔⪎⋱⫍2639=⪎⋱⫍-2489","layer":3},{"info":"NaN⪛⪎⋱⫍-2489=NaN","layer":2},{"info":"⪎⋱⫍884∼⪎⋱⫍BC8=NaN","layer":3},{"info":"⪎⋱⫍1723∼⪎⋱⫍627=NaN","layer":3},{"info":"NaN⇷NaN=NaN","layer":2},{"info":"NaN⨸⪁NaN=NaN","layer":1},{"info":"NaN⩤=NaN","layer":0}]}
{"id":256,"expression_no_base_symbol":"(⨰⫟⨤($3878$⇼⇔∾$2546$))≧⫂∧((⨈⫕$1689$)+$4705$+⇶⊼$8149$)⋥≓≎(⪲⇎($6338$⊭↱$1430$))⨎(↥$7184$⨎$1717$)","expression":"(⨰⫟⨤(⪎⋱⫍19C4⇼⇔∾⪎⋱⫍120B))≧⫂∧((⨈⫕⪎⋱⫍9CC)+⪎⋱⫍21AC+⇶⊼⪎⋱⫍392B)⋥≓≎(⪲⇎(⪎⋱⫍2B67⊭↱⪎⋱⫍860))⨎(↥⪎⋱⫍3368⨎⪎⋱⫍A21)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":6656,"operation_count":12,"complexity_ratio":554.6666666666666,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":3878,"base":13},"right_expr":{"type":"numeric_atoms","value":2546,"base":13}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":1689,"base":13}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":4705,"base":13},"right_expr":{"type":"numeric_atoms","value":8149,"base":13}}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":6338,"base":13},"right_expr":{"type":"numeric_atoms","value":1430,"base":13}}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":7184,"base":13},"right_expr":{"type":"numeric_atoms","value":1717,"base":13}}}}},"used_operators":["Qy55tPpLXF","Ph9nP6C5qx","Tw270M8GLb","tifHPKVTfV","W4YGzv6Whe","megm06wKyl","TpPTUOHfaN","rJVOvQCfKK","XPYlsWDdGa","COABgblf1C","A8NUZmVepG"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","AHs5Up7iyr","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY"],"result":"⪎⋱⫍52","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3878","layer":4},{"info":"number node, value=2546","layer":4},{"info":"compute binary expreesion, left_input=3878, right_input=2546, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-1332","layer":3},{"info":"compute unary expreesion, input=-1332, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":2},{"info":"number node, value=1689","layer":4},{"info":"compute unary expreesion, input=1689, 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=4705","layer":4},{"info":"number node, value=8149","layer":4},{"info":"compute binary expreesion, left_input=4705, right_input=8149, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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 = W4YGzv6Whe binary_op_definition= 'None', 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=6338","layer":4},{"info":"number node, value=1430","layer":4},{"info":"compute binary expreesion, left_input=6338, right_input=1430, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-9811","layer":3},{"info":"compute unary expreesion, input=-9811, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=-19622","layer":2},{"info":"number node, value=7184","layer":4},{"info":"number node, value=1717","layer":4},{"info":"compute binary expreesion, left_input=7184, right_input=1717, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1717","layer":3},{"info":"compute unary expreesion, input=1717, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=34","layer":2},{"info":"compute binary expreesion, left_input=-19622, right_input=34, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=34","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=34, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":0}],"base":13,"result_base":13,"text":"(⨰⫟⨤(⪎⋱⫍19C4⇼⇔∾⪎⋱⫍120B))≧⫂∧((⨈⫕⪎⋱⫍9CC)+⪎⋱⫍21AC+⇶⊼⪎⋱⫍392B)⋥≓≎(⪲⇎(⪎⋱⫍2B67⊭↱⪎⋱⫍860))⨎(↥⪎⋱⫍3368⨎⪎⋱⫍A21)=⪎⋱⫍52","reverse_text":"⪎⋱⫍52=(⨰⫟⨤(⪎⋱⫍19C4⇼⇔∾⪎⋱⫍120B))≧⫂∧((⨈⫕⪎⋱⫍9CC)+⪎⋱⫍21AC+⇶⊼⪎⋱⫍392B)⋥≓≎(⪲⇎(⪎⋱⫍2B67⊭↱⪎⋱⫍860))⨎(↥⪎⋱⫍3368⨎⪎⋱⫍A21)","cot":[{"info":"⪎⋱⫍19C4⇼⇔∾⪎⋱⫍120B=⪎⋱⫍-7B6","layer":3},{"info":"⨰⫟⨤⪎⋱⫍-7B6=NaN","layer":2},{"info":"⨈⫕⪎⋱⫍9CC=⪎⋱⫍-18","layer":3},{"info":"⪎⋱⫍21AC+⇶⊼⪎⋱⫍392B=NaN","layer":3},{"info":"⪎⋱⫍-18+NaN=NaN","layer":2},{"info":"NaN≧⫂∧NaN=NaN","layer":1},{"info":"⪎⋱⫍2B67⊭↱⪎⋱⫍860=⪎⋱⫍-4609","layer":3},{"info":"⪲⇎⪎⋱⫍-4609=⪎⋱⫍-8C15","layer":2},{"info":"⪎⋱⫍3368⨎⪎⋱⫍A21=⪎⋱⫍A21","layer":3},{"info":"↥⪎⋱⫍A21=⪎⋱⫍28","layer":2},{"info":"⪎⋱⫍-8C15⨎⪎⋱⫍28=⪎⋱⫍28","layer":1},{"info":"NaN⋥≓≎⪎⋱⫍28=⪎⋱⫍52","layer":0}]}
{"id":257,"expression_no_base_symbol":"↯⪼(($1080$+⇶⊼$1371$)⨪↰⇹($6542$⪨≂$2882$)⇋≉)","expression":"↯⪼((⪎⋱⫍651+⇶⊼⪎⋱⫍816)⨪↰⇹(⪎⋱⫍2C93⪨≂⪎⋱⫍1409)⇋≉)","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":1080,"base":13},"right_expr":{"type":"numeric_atoms","value":1371,"base":13}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":6542,"base":13},"right_expr":{"type":"numeric_atoms","value":2882,"base":13}}}}},"used_operators":["8jW3W4yZS5","XIabStNQrY","tmPS8pqC7x","TpPTUOHfaN","sdazOOVcIp"],"dependent_operators":["eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍-18","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1080","layer":4},{"info":"number node, value=1371","layer":4},{"info":"compute binary expreesion, left_input=1080, right_input=1371, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=6542","layer":4},{"info":"number node, value=2882","layer":4},{"info":"compute binary expreesion, left_input=6542, right_input=2882, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=7422","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=7422, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((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 = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":0}],"base":13,"result_base":13,"text":"↯⪼((⪎⋱⫍651+⇶⊼⪎⋱⫍816)⨪↰⇹(⪎⋱⫍2C93⪨≂⪎⋱⫍1409)⇋≉)=⪎⋱⫍-18","reverse_text":"⪎⋱⫍-18=↯⪼((⪎⋱⫍651+⇶⊼⪎⋱⫍816)⨪↰⇹(⪎⋱⫍2C93⪨≂⪎⋱⫍1409)⇋≉)","cot":[{"info":"⪎⋱⫍651+⇶⊼⪎⋱⫍816=NaN","layer":3},{"info":"⪎⋱⫍2C93⪨≂⪎⋱⫍1409=⪎⋱⫍34BC","layer":3},{"info":"NaN⨪↰⇹⪎⋱⫍34BC=NaN","layer":2},{"info":"NaN⇋≉=NaN","layer":1},{"info":"↯⪼NaN=⪎⋱⫍-18","layer":0}]}
{"id":258,"expression_no_base_symbol":"($6591$≭$3906$⩚⊴⇥($7000$⫥∨⫟$3195$)↙$3782$+⇶⊼$1287$⋳⪒$1299$⨓$1235$)⫩⊇","expression":"(⪎⋱⫍3000≭⪎⋱⫍1A16⩚⊴⇥(⪎⋱⫍3256⫥∨⫟⪎⋱⫍15BA)↙⪎⋱⫍194C+⇶⊼⪎⋱⫍780⋳⪒⪎⋱⫍78C⨓⪎⋱⫍740)⫩⊇","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":1410,"operation_count":8,"complexity_ratio":176.25,"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":6591,"base":13},"right_expr":{"type":"numeric_atoms","value":3906,"base":13}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":7000,"base":13},"right_expr":{"type":"numeric_atoms","value":3195,"base":13}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":3782,"base":13},"right_expr":{"type":"numeric_atoms","value":1287,"base":13}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1299,"base":13},"right_expr":{"type":"numeric_atoms","value":1235,"base":13}}}}},"used_operators":["BjRHVeLaeN","yyfyN0ffXY","NTOWxs364D","rxpJgHHUmx","KYD54nUTWz","12rbrZMWeM","TpPTUOHfaN","3ViojmjbAp"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","AHs5Up7iyr","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=6591","layer":4},{"info":"number node, value=3906","layer":4},{"info":"compute binary expreesion, left_input=6591, right_input=3906, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=7000","layer":4},{"info":"number node, value=3195","layer":4},{"info":"compute binary expreesion, left_input=7000, right_input=3195, 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 = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":2},{"info":"number node, value=3782","layer":4},{"info":"number node, value=1287","layer":4},{"info":"compute binary expreesion, left_input=3782, right_input=1287, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=1299","layer":4},{"info":"number node, value=1235","layer":4},{"info":"compute binary expreesion, left_input=1299, right_input=1235, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1238","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1238, 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 = 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 = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍3000≭⪎⋱⫍1A16⩚⊴⇥(⪎⋱⫍3256⫥∨⫟⪎⋱⫍15BA)↙⪎⋱⫍194C+⇶⊼⪎⋱⫍780⋳⪒⪎⋱⫍78C⨓⪎⋱⫍740)⫩⊇=NaN","reverse_text":"NaN=(⪎⋱⫍3000≭⪎⋱⫍1A16⩚⊴⇥(⪎⋱⫍3256⫥∨⫟⪎⋱⫍15BA)↙⪎⋱⫍194C+⇶⊼⪎⋱⫍780⋳⪒⪎⋱⫍78C⨓⪎⋱⫍740)⫩⊇","cot":[{"info":"⪎⋱⫍3000≭⪎⋱⫍1A16=NaN","layer":3},{"info":"⪎⋱⫍3256⫥∨⫟⪎⋱⫍15BA=NaN","layer":3},{"info":"NaN⩚⊴⇥NaN=NaN","layer":2},{"info":"⪎⋱⫍194C+⇶⊼⪎⋱⫍780=NaN","layer":3},{"info":"⪎⋱⫍78C⨓⪎⋱⫍740=⪎⋱⫍-743","layer":3},{"info":"NaN⋳⪒⪎⋱⫍-743=NaN","layer":2},{"info":"NaN↙NaN=NaN","layer":1},{"info":"NaN⫩⊇=NaN","layer":0}]}
{"id":259,"expression_no_base_symbol":"(($2606$⫸⊐$6551$≋⫹)⊭↱$5975$⨎$6892$⨳⩥⨓($6682$⊭∹↮))∧","expression":"((⪎⋱⫍1256⫸⊐⪎⋱⫍2C9C≋⫹)⊭↱⪎⋱⫍2948⨎⪎⋱⫍31A2⨳⩥⨓(⪎⋱⫍3070⊭∹↮))∧","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":49,"operation_count":7,"complexity_ratio":7.0,"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":2606,"base":13},"right_expr":{"type":"numeric_atoms","value":6551,"base":13}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":5975,"base":13},"right_expr":{"type":"numeric_atoms","value":6892,"base":13}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":6682,"base":13}}}}},"used_operators":["z63VuFQld9","COABgblf1C","N41Kp7NANJ","mqXw5SEYmG","nCS4ZIUYfx","rJVOvQCfKK","xNBdhnnwKq"],"dependent_operators":["B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2606","layer":4},{"info":"number node, value=6551","layer":4},{"info":"compute binary expreesion, left_input=2606, right_input=6551, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=26079","layer":3},{"info":"compute unary expreesion, input=26079, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-52158","layer":2},{"info":"number node, value=5975","layer":4},{"info":"number node, value=6892","layer":4},{"info":"compute binary expreesion, left_input=5975, right_input=6892, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=6892","layer":3},{"info":"number node, value=6682","layer":4},{"info":"compute unary expreesion, input=6682, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=13364","layer":3},{"info":"compute binary expreesion, left_input=6892, right_input=13364, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=6472","layer":2},{"info":"compute binary expreesion, left_input=-52158, right_input=6472, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=117265","layer":1},{"info":"compute unary expreesion, input=117265, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍1256⫸⊐⪎⋱⫍2C9C≋⫹)⊭↱⪎⋱⫍2948⨎⪎⋱⫍31A2⨳⩥⨓(⪎⋱⫍3070⊭∹↮))∧=NaN","reverse_text":"NaN=((⪎⋱⫍1256⫸⊐⪎⋱⫍2C9C≋⫹)⊭↱⪎⋱⫍2948⨎⪎⋱⫍31A2⨳⩥⨓(⪎⋱⫍3070⊭∹↮))∧","cot":[{"info":"⪎⋱⫍1256⫸⊐⪎⋱⫍2C9C=⪎⋱⫍BB41","layer":3},{"info":"⪎⋱⫍BB41≋⫹=⪎⋱⫍-1A982","layer":2},{"info":"⪎⋱⫍2948⨎⪎⋱⫍31A2=⪎⋱⫍31A2","layer":3},{"info":"⪎⋱⫍3070⊭∹↮=⪎⋱⫍6110","layer":3},{"info":"⪎⋱⫍31A2⨳⩥⨓⪎⋱⫍6110=⪎⋱⫍2C3B","layer":2},{"info":"⪎⋱⫍-1A982⊭↱⪎⋱⫍2C3B=⪎⋱⫍414B5","layer":1},{"info":"⪎⋱⫍414B5∧=NaN","layer":0}]}
{"id":260,"expression_no_base_symbol":"⫛⫱⨽(($5711$*$3884$)⪘⫢(⊄⩳↩$1912$)↙($5121$↬$1022$/$6208$∑⇟⊟$1739$))","expression":"⫛⫱⨽((⪎⋱⫍27A4*⪎⋱⫍19CA)⪘⫢(⊄⩳↩⪎⋱⫍B41)↙(⪎⋱⫍243C↬⪎⋱⫍608/⪎⋱⫍2A97∑⇟⊟⪎⋱⫍A3A))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":4812,"operation_count":8,"complexity_ratio":601.5,"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":5711,"base":13},"right_expr":{"type":"numeric_atoms","value":3884,"base":13}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1912,"base":13}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":5121,"base":13},"right_expr":{"type":"numeric_atoms","value":1022,"base":13}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":6208,"base":13},"right_expr":{"type":"numeric_atoms","value":1739,"base":13}}}}},"used_operators":["DlLNRPXxWL","yyfyN0ffXY","oacrs7FA3X","9HNa5Wba9A","8w2t5hMYqp","XhwjNDsVaA","B5M0gjZbta","U7g4x0WXJJ"],"dependent_operators":["rGHVDoGpnC","tmPS8pqC7x","DpFCA1CohY","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rGHVDoGpnC","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5711","layer":4},{"info":"number node, value=3884","layer":4},{"info":"compute binary expreesion, left_input=5711, right_input=3884, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=22181524","layer":3},{"info":"number node, value=1912","layer":4},{"info":"compute unary expreesion, input=1912, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-5736","layer":3},{"info":"compute binary expreesion, left_input=22181524, right_input=-5736, 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=5121","layer":4},{"info":"number node, value=1022","layer":4},{"info":"compute binary expreesion, left_input=5121, 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":3},{"info":"number node, value=6208","layer":4},{"info":"number node, value=1739","layer":4},{"info":"compute binary expreesion, left_input=6208, right_input=1739, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=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 unary expreesion, input=0, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":0}],"base":13,"result_base":13,"text":"⫛⫱⨽((⪎⋱⫍27A4*⪎⋱⫍19CA)⪘⫢(⊄⩳↩⪎⋱⫍B41)↙(⪎⋱⫍243C↬⪎⋱⫍608/⪎⋱⫍2A97∑⇟⊟⪎⋱⫍A3A))=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=⫛⫱⨽((⪎⋱⫍27A4*⪎⋱⫍19CA)⪘⫢(⊄⩳↩⪎⋱⫍B41)↙(⪎⋱⫍243C↬⪎⋱⫍608/⪎⋱⫍2A97∑⇟⊟⪎⋱⫍A3A))","cot":[{"info":"⪎⋱⫍27A4*⪎⋱⫍19CA=⪎⋱⫍4798381","layer":3},{"info":"⊄⩳↩⪎⋱⫍B41=⪎⋱⫍-27C3","layer":3},{"info":"⪎⋱⫍4798381⪘⫢⪎⋱⫍-27C3=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍243C↬⪎⋱⫍608=NaN","layer":3},{"info":"⪎⋱⫍2A97∑⇟⊟⪎⋱⫍A3A=NaN","layer":3},{"info":"NaN/NaN=NaN","layer":2},{"info":"⪎⋱⫍0↙NaN=⪎⋱⫍0","layer":1},{"info":"⫛⫱⨽⪎⋱⫍0=⪎⋱⫍0","layer":0}]}
{"id":261,"expression_no_base_symbol":"⊙↵-(($1063$⫥∨⫟$5318$)≧⫂∧(⨵≀≌$1083$)⪨≂($7548$∲⫓$7349$)⫥∨⫟($6573$⨸⪁$1497$))","expression":"⊙↵-((⪎⋱⫍63A⫥∨⫟⪎⋱⫍2561)≧⫂∧(⨵≀≌⪎⋱⫍654)⪨≂(⪎⋱⫍3588∲⫓⪎⋱⫍3464)⫥∨⫟(⪎⋱⫍2CB8⨸⪁⪎⋱⫍8B2))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":350,"operation_count":8,"complexity_ratio":43.75,"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":1063,"base":13},"right_expr":{"type":"numeric_atoms","value":5318,"base":13}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1083,"base":13}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":7548,"base":13},"right_expr":{"type":"numeric_atoms","value":7349,"base":13}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":6573,"base":13},"right_expr":{"type":"numeric_atoms","value":1497,"base":13}}}}},"used_operators":["oWn0xqSxBt","sdazOOVcIp","Ph9nP6C5qx","KYD54nUTWz","srAu1WTS94","i8ToyICDmI","g55IO6H4Gj"],"dependent_operators":["dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1063","layer":4},{"info":"number node, value=5318","layer":4},{"info":"compute binary expreesion, left_input=1063, right_input=5318, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=1083","layer":4},{"info":"compute unary expreesion, input=1083, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-3249","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3249, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":2},{"info":"number node, value=7548","layer":4},{"info":"number node, value=7349","layer":4},{"info":"compute binary expreesion, left_input=7548, right_input=7349, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=6573","layer":4},{"info":"number node, value=1497","layer":4},{"info":"compute binary expreesion, left_input=6573, right_input=1497, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=16140","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=16140, 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 = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⊙↵-((⪎⋱⫍63A⫥∨⫟⪎⋱⫍2561)≧⫂∧(⨵≀≌⪎⋱⫍654)⪨≂(⪎⋱⫍3588∲⫓⪎⋱⫍3464)⫥∨⫟(⪎⋱⫍2CB8⨸⪁⪎⋱⫍8B2))=NaN","reverse_text":"NaN=⊙↵-((⪎⋱⫍63A⫥∨⫟⪎⋱⫍2561)≧⫂∧(⨵≀≌⪎⋱⫍654)⪨≂(⪎⋱⫍3588∲⫓⪎⋱⫍3464)⫥∨⫟(⪎⋱⫍2CB8⨸⪁⪎⋱⫍8B2))","cot":[{"info":"⪎⋱⫍63A⫥∨⫟⪎⋱⫍2561=NaN","layer":3},{"info":"⨵≀≌⪎⋱⫍654=⪎⋱⫍-162C","layer":3},{"info":"NaN≧⫂∧⪎⋱⫍-162C=NaN","layer":2},{"info":"⪎⋱⫍3588∲⫓⪎⋱⫍3464=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍2CB8⨸⪁⪎⋱⫍8B2=⪎⋱⫍7467","layer":3},{"info":"⪎⋱⫍0⫥∨⫟⪎⋱⫍7467=NaN","layer":2},{"info":"NaN⪨≂NaN=NaN","layer":1},{"info":"⊙↵-NaN=NaN","layer":0}]}
{"id":262,"expression_no_base_symbol":"(($1877$⨸⪁$3885$)≎⊠⪸$1967$∼$5467$⩨($3146$*$1988$)⩚⊴⇥($1676$⊘))⋝⋈⪟(⪝⪂⫅($1517$↙$1988$))⪛(⪝⪂⫅$4030$⪢$5771$)","expression":"((⪎⋱⫍B15⨸⪁⪎⋱⫍19CB)≎⊠⪸⪎⋱⫍B84∼⪎⋱⫍2647⩨(⪎⋱⫍1580*⪎⋱⫍B9C)⩚⊴⇥(⪎⋱⫍9BC⊘))⋝⋈⪟(⪝⪂⫅(⪎⋱⫍8C9↙⪎⋱⫍B9C))⪛(⪝⪂⫅⪎⋱⫍1AB0⪢⪎⋱⫍281C)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":103338,"operation_count":13,"complexity_ratio":7949.076923076923,"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":1877,"base":13},"right_expr":{"type":"numeric_atoms","value":3885,"base":13}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1967,"base":13},"right_expr":{"type":"numeric_atoms","value":5467,"base":13}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":3146,"base":13},"right_expr":{"type":"numeric_atoms","value":1988,"base":13}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":1676,"base":13}}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1517,"base":13},"right_expr":{"type":"numeric_atoms","value":1988,"base":13}}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":4030,"base":13},"right_expr":{"type":"numeric_atoms","value":5771,"base":13}}}}},"used_operators":["2DDjHMKMc0","2DlMacCsIx","bJkvcejdHO","g55IO6H4Gj","DyGG3AbaNP","NTOWxs364D","9HNa5Wba9A","gu96TGCTMs","uFcxV4UQCh","XTarYq4gQB","yyfyN0ffXY","dWAJyo7jo9"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","9HNa5Wba9A","8w2t5hMYqp","tmPS8pqC7x","DpFCA1CohY","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1877","layer":4},{"info":"number node, value=3885","layer":4},{"info":"compute binary expreesion, left_input=1877, right_input=3885, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=11524","layer":3},{"info":"number node, value=1967","layer":4},{"info":"number node, value=5467","layer":4},{"info":"compute binary expreesion, left_input=1967, right_input=5467, 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=11524, 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=3146","layer":4},{"info":"number node, value=1988","layer":4},{"info":"compute binary expreesion, left_input=3146, right_input=1988, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=6254248","layer":3},{"info":"number node, value=1676","layer":4},{"info":"compute unary expreesion, input=1676, 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=6254248, right_input=0, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-6254369","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=-6254369, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=280047","layer":1},{"info":"number node, value=1517","layer":4},{"info":"number node, value=1988","layer":4},{"info":"compute binary expreesion, left_input=1517, right_input=1988, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-5964","layer":3},{"info":"compute unary expreesion, input=-5964, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=876708","layer":2},{"info":"number node, value=4030","layer":4},{"info":"number node, value=5771","layer":4},{"info":"compute binary expreesion, left_input=4030, right_input=5771, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=876708, 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=280047, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍B15⨸⪁⪎⋱⫍19CB)≎⊠⪸⪎⋱⫍B84∼⪎⋱⫍2647⩨(⪎⋱⫍1580*⪎⋱⫍B9C)⩚⊴⇥(⪎⋱⫍9BC⊘))⋝⋈⪟(⪝⪂⫅(⪎⋱⫍8C9↙⪎⋱⫍B9C))⪛(⪝⪂⫅⪎⋱⫍1AB0⪢⪎⋱⫍281C)=NaN","reverse_text":"NaN=((⪎⋱⫍B15⨸⪁⪎⋱⫍19CB)≎⊠⪸⪎⋱⫍B84∼⪎⋱⫍2647⩨(⪎⋱⫍1580*⪎⋱⫍B9C)⩚⊴⇥(⪎⋱⫍9BC⊘))⋝⋈⪟(⪝⪂⫅(⪎⋱⫍8C9↙⪎⋱⫍B9C))⪛(⪝⪂⫅⪎⋱⫍1AB0⪢⪎⋱⫍281C)","cot":[{"info":"⪎⋱⫍B15⨸⪁⪎⋱⫍19CB=⪎⋱⫍5326","layer":3},{"info":"⪎⋱⫍B84∼⪎⋱⫍2647=NaN","layer":3},{"info":"⪎⋱⫍5326≎⊠⪸NaN=⪎⋱⫍52","layer":2},{"info":"⪎⋱⫍1580*⪎⋱⫍B9C=⪎⋱⫍13AC950","layer":3},{"info":"⪎⋱⫍9BC⊘=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍13AC950⩚⊴⇥⪎⋱⫍0=⪎⋱⫍-13ACA14","layer":2},{"info":"⪎⋱⫍52⩨⪎⋱⫍-13ACA14=⪎⋱⫍9A611","layer":1},{"info":"⪎⋱⫍8C9↙⪎⋱⫍B9C=⪎⋱⫍-293A","layer":3},{"info":"⪝⪂⫅⪎⋱⫍-293A=⪎⋱⫍249081","layer":2},{"info":"⪎⋱⫍1AB0⪢⪎⋱⫍281C=NaN","layer":3},{"info":"⪝⪂⫅NaN=NaN","layer":2},{"info":"⪎⋱⫍249081⪛NaN=NaN","layer":1},{"info":"⪎⋱⫍9A611⋝⋈⪟NaN=NaN","layer":0}]}
{"id":263,"expression_no_base_symbol":"≦∁((⪝⪂⫅$5689$)⪐)⋝⋈⪟(($6293$⪨≂$1445$)⨸⪁(⨈⫕$2629$))","expression":"≦∁((⪝⪂⫅⪎⋱⫍2788)⪐)⋝⋈⪟((⪎⋱⫍2B31⪨≂⪎⋱⫍872)⨸⪁(⨈⫕⪎⋱⫍1273))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":6131,"operation_count":7,"complexity_ratio":875.8571428571429,"tree":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":5689,"base":13}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":6293,"base":13},"right_expr":{"type":"numeric_atoms","value":1445,"base":13}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":2629,"base":13}}}}},"used_operators":["9ICcGScMcE","2DDjHMKMc0","eH2TOUuTDT","XTarYq4gQB","g55IO6H4Gj","sdazOOVcIp","megm06wKyl"],"dependent_operators":["XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q"],"result":"⪎⋱⫍52","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5689","layer":4},{"info":"compute unary expreesion, input=5689, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-836283","layer":3},{"info":"compute unary expreesion, input=-836283, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=-1672566","layer":2},{"info":"number node, value=6293","layer":4},{"info":"number node, value=1445","layer":4},{"info":"compute binary expreesion, left_input=6293, right_input=1445, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=9798","layer":3},{"info":"number node, value=2629","layer":4},{"info":"compute unary expreesion, input=2629, 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=9798, right_input=-21, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=19554","layer":2},{"info":"compute binary expreesion, left_input=-1672566, right_input=19554, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-1672566","layer":1},{"info":"compute unary expreesion, input=-1672566, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=67","layer":0}],"base":13,"result_base":13,"text":"≦∁((⪝⪂⫅⪎⋱⫍2788)⪐)⋝⋈⪟((⪎⋱⫍2B31⪨≂⪎⋱⫍872)⨸⪁(⨈⫕⪎⋱⫍1273))=⪎⋱⫍52","reverse_text":"⪎⋱⫍52=≦∁((⪝⪂⫅⪎⋱⫍2788)⪐)⋝⋈⪟((⪎⋱⫍2B31⪨≂⪎⋱⫍872)⨸⪁(⨈⫕⪎⋱⫍1273))","cot":[{"info":"⪝⪂⫅⪎⋱⫍2788=⪎⋱⫍-233856","layer":3},{"info":"⪎⋱⫍-233856⪐=⪎⋱⫍-4673AC","layer":2},{"info":"⪎⋱⫍2B31⪨≂⪎⋱⫍872=⪎⋱⫍45C9","layer":3},{"info":"⨈⫕⪎⋱⫍1273=⪎⋱⫍-18","layer":3},{"info":"⪎⋱⫍45C9⨸⪁⪎⋱⫍-18=⪎⋱⫍8B92","layer":2},{"info":"⪎⋱⫍-4673AC⋝⋈⪟⪎⋱⫍8B92=⪎⋱⫍-4673AC","layer":1},{"info":"≦∁⪎⋱⫍-4673AC=⪎⋱⫍52","layer":0}]}
{"id":264,"expression_no_base_symbol":"((↣≠⋷$1184$)+$1054$⊴$8220$+(⊙↵-($3135$⨪↰⇹$2538$)))⋓(((⨵≀≌$9502$)∧)⫥∨⫟$4069$⋓$1825$⩚⊴⇥$2636$⋓$2749$)","expression":"((↣≠⋷⪎⋱⫍701)+⪎⋱⫍631⊴⪎⋱⫍3984+(⊙↵-(⪎⋱⫍1572⨪↰⇹⪎⋱⫍1203)))⋓(((⨵≀≌⪎⋱⫍442C)∧)⫥∨⫟⪎⋱⫍1B10⋓⪎⋱⫍AA5⩚⊴⇥⪎⋱⫍127A⋓⪎⋱⫍1336)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":14754,"operation_count":13,"complexity_ratio":1134.923076923077,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1184,"base":13}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1054,"base":13},"right_expr":{"type":"numeric_atoms","value":8220,"base":13}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":3135,"base":13},"right_expr":{"type":"numeric_atoms","value":2538,"base":13}}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":9502,"base":13}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":4069,"base":13},"right_expr":{"type":"numeric_atoms","value":1825,"base":13}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2636,"base":13},"right_expr":{"type":"numeric_atoms","value":2749,"base":13}}}}},"used_operators":["T2fj7uvVaJ","W4YGzv6Whe","Asc51vEJeQ","Nsiff2A1zJ","oWn0xqSxBt","tmPS8pqC7x","KYD54nUTWz","z63VuFQld9","srAu1WTS94","NTOWxs364D"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","XhwjNDsVaA","AHs5Up7iyr","dWAJyo7jo9","14qkJME0vr","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rJVOvQCfKK","8HhzD0ZcuI","rGHVDoGpnC","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1184","layer":4},{"info":"compute unary expreesion, input=1184, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=1054","layer":4},{"info":"number node, value=8220","layer":4},{"info":"compute binary expreesion, left_input=1054, right_input=8220, 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 = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=3135","layer":4},{"info":"number node, value=2538","layer":4},{"info":"compute binary expreesion, left_input=3135, right_input=2538, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=3135","layer":3},{"info":"compute unary expreesion, input=3135, 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 = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=9502","layer":4},{"info":"compute unary expreesion, input=9502, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-28506","layer":3},{"info":"compute unary expreesion, input=-28506, 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=4069","layer":4},{"info":"number node, value=1825","layer":4},{"info":"compute binary expreesion, left_input=4069, right_input=1825, op_id = T2fj7uvVaJ binary_op_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=2636","layer":4},{"info":"number node, value=2749","layer":4},{"info":"compute binary expreesion, left_input=2636, right_input=2749, op_id = T2fj7uvVaJ binary_op_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=0, right_input=-121, 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 = T2fj7uvVaJ 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":13,"result_base":13,"text":"((↣≠⋷⪎⋱⫍701)+⪎⋱⫍631⊴⪎⋱⫍3984+(⊙↵-(⪎⋱⫍1572⨪↰⇹⪎⋱⫍1203)))⋓(((⨵≀≌⪎⋱⫍442C)∧)⫥∨⫟⪎⋱⫍1B10⋓⪎⋱⫍AA5⩚⊴⇥⪎⋱⫍127A⋓⪎⋱⫍1336)=NaN","reverse_text":"NaN=((↣≠⋷⪎⋱⫍701)+⪎⋱⫍631⊴⪎⋱⫍3984+(⊙↵-(⪎⋱⫍1572⨪↰⇹⪎⋱⫍1203)))⋓(((⨵≀≌⪎⋱⫍442C)∧)⫥∨⫟⪎⋱⫍1B10⋓⪎⋱⫍AA5⩚⊴⇥⪎⋱⫍127A⋓⪎⋱⫍1336)","cot":[{"info":"↣≠⋷⪎⋱⫍701=NaN","layer":3},{"info":"⪎⋱⫍631⊴⪎⋱⫍3984=NaN","layer":3},{"info":"NaN+NaN=NaN","layer":2},{"info":"⪎⋱⫍1572⨪↰⇹⪎⋱⫍1203=⪎⋱⫍1572","layer":3},{"info":"⊙↵-⪎⋱⫍1572=⪎⋱⫍-1","layer":2},{"info":"NaN+⪎⋱⫍-1=NaN","layer":1},{"info":"⨵≀≌⪎⋱⫍442C=⪎⋱⫍-CC8A","layer":3},{"info":"⪎⋱⫍-CC8A∧=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍1B10⋓⪎⋱⫍AA5=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍127A⋓⪎⋱⫍1336=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍0⩚⊴⇥⪎⋱⫍0=⪎⋱⫍-94","layer":2},{"info":"⪎⋱⫍0⫥∨⫟⪎⋱⫍-94=NaN","layer":1},{"info":"NaN⋓NaN=NaN","layer":0}]}
{"id":265,"expression_no_base_symbol":"($2878$⩷∴$1487$)⨓($1286$⊦⊿)⨓((↥$4469$)≭(↽≂$8372$))⋥≓≎(⪲⇎$4680$⩚⊴⇥$3059$≎⊠⪸($3197$/$7318$))","expression":"(⪎⋱⫍1405⩷∴⪎⋱⫍8A5)⨓(⪎⋱⫍77C⊦⊿)⨓((↥⪎⋱⫍205A)≭(↽≂⪎⋱⫍3A70))⋥≓≎(⪲⇎⪎⋱⫍2190⩚⊴⇥⪎⋱⫍1514≎⊠⪸(⪎⋱⫍15BC/⪎⋱⫍343C))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":4332,"operation_count":12,"complexity_ratio":361.0,"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":2878,"base":13},"right_expr":{"type":"numeric_atoms","value":1487,"base":13}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":1286,"base":13}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":4469,"base":13}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":8372,"base":13}}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":4680,"base":13},"right_expr":{"type":"numeric_atoms","value":3059,"base":13}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":3197,"base":13},"right_expr":{"type":"numeric_atoms","value":7318,"base":13}}}}},"used_operators":["Qy55tPpLXF","3ViojmjbAp","9FxExcQeMw","14qkJME0vr","rxpJgHHUmx","A8NUZmVepG","u6S6b8DprG","XPYlsWDdGa","bJkvcejdHO","NTOWxs364D","XhwjNDsVaA"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z"],"result":"⪎⋱⫍52","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2878","layer":4},{"info":"number node, value=1487","layer":4},{"info":"compute binary expreesion, left_input=2878, right_input=1487, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=2750","layer":3},{"info":"number node, value=1286","layer":4},{"info":"compute unary expreesion, input=1286, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-3937","layer":3},{"info":"compute binary expreesion, left_input=2750, right_input=-3937, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3940","layer":2},{"info":"number node, value=4469","layer":4},{"info":"compute unary expreesion, input=4469, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=32","layer":3},{"info":"number node, value=8372","layer":4},{"info":"compute unary expreesion, input=8372, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-16744","layer":3},{"info":"compute binary expreesion, left_input=32, right_input=-16744, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=-3940, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":1},{"info":"number node, value=4680","layer":4},{"info":"number node, value=3059","layer":4},{"info":"compute binary expreesion, left_input=4680, right_input=3059, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-7860","layer":3},{"info":"number node, value=3197","layer":4},{"info":"number node, value=7318","layer":4},{"info":"compute binary expreesion, left_input=3197, right_input=7318, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute binary expreesion, left_input=-7860, right_input=0, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=2035740","layer":2},{"info":"compute unary expreesion, input=2035740, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=4071480","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=4071480, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍1405⩷∴⪎⋱⫍8A5)⨓(⪎⋱⫍77C⊦⊿)⨓((↥⪎⋱⫍205A)≭(↽≂⪎⋱⫍3A70))⋥≓≎(⪲⇎⪎⋱⫍2190⩚⊴⇥⪎⋱⫍1514≎⊠⪸(⪎⋱⫍15BC/⪎⋱⫍343C))=⪎⋱⫍52","reverse_text":"⪎⋱⫍52=(⪎⋱⫍1405⩷∴⪎⋱⫍8A5)⨓(⪎⋱⫍77C⊦⊿)⨓((↥⪎⋱⫍205A)≭(↽≂⪎⋱⫍3A70))⋥≓≎(⪲⇎⪎⋱⫍2190⩚⊴⇥⪎⋱⫍1514≎⊠⪸(⪎⋱⫍15BC/⪎⋱⫍343C))","cot":[{"info":"⪎⋱⫍1405⩷∴⪎⋱⫍8A5=⪎⋱⫍1337","layer":3},{"info":"⪎⋱⫍77C⊦⊿=⪎⋱⫍-1A3B","layer":3},{"info":"⪎⋱⫍1337⨓⪎⋱⫍-1A3B=⪎⋱⫍-1A41","layer":2},{"info":"↥⪎⋱⫍205A=⪎⋱⫍26","layer":3},{"info":"↽≂⪎⋱⫍3A70=⪎⋱⫍-7810","layer":3},{"info":"⪎⋱⫍26≭⪎⋱⫍-7810=NaN","layer":2},{"info":"⪎⋱⫍-1A41⨓NaN=NaN","layer":1},{"info":"⪎⋱⫍2190⩚⊴⇥⪎⋱⫍1514=⪎⋱⫍-3768","layer":3},{"info":"⪎⋱⫍15BC/⪎⋱⫍343C=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍-3768≎⊠⪸⪎⋱⫍0=⪎⋱⫍5637A5","layer":2},{"info":"⪲⇎⪎⋱⫍5637A5=⪎⋱⫍AC727A","layer":1},{"info":"NaN⋥≓≎⪎⋱⫍AC727A=⪎⋱⫍52","layer":0}]}
{"id":266,"expression_no_base_symbol":"($3674$≭$3899$)⩷∴($2045$≋⫹)⨐⩸⫘(($1059$↙$2276$)⊭∹↮)⨵⪆($3160$⩨$2134$⪒($8319$⪨≂$7482$)/(⨰⫟⨤($1020$-$3554$)))","expression":"(⪎⋱⫍1898≭⪎⋱⫍1A0C)⩷∴(⪎⋱⫍C14≋⫹)⨐⩸⫘((⪎⋱⫍636↙⪎⋱⫍1061)⊭∹↮)⨵⪆(⪎⋱⫍1591⩨⪎⋱⫍C82⪒(⪎⋱⫍3A2C⪨≂⪎⋱⫍3537)/(⨰⫟⨤(⪎⋱⫍606-⪎⋱⫍1805)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":13334,"operation_count":13,"complexity_ratio":1025.6923076923076,"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":3674,"base":13},"right_expr":{"type":"numeric_atoms","value":3899,"base":13}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":2045,"base":13}}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1059,"base":13},"right_expr":{"type":"numeric_atoms","value":2276,"base":13}}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":3160,"base":13},"right_expr":{"type":"numeric_atoms","value":2134,"base":13}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":8319,"base":13},"right_expr":{"type":"numeric_atoms","value":7482,"base":13}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1020,"base":13},"right_expr":{"type":"numeric_atoms","value":3554,"base":13}}}}},"used_operators":["2DQ55sFlQl","fu6greOZ01","9FxExcQeMw","rxpJgHHUmx","N41Kp7NANJ","xNBdhnnwKq","yyfyN0ffXY","XhwjNDsVaA","f6k1SAg4EE","2DlMacCsIx","sdazOOVcIp","Tw270M8GLb","rysDP5nf3Z"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","rysDP5nf3Z","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw"],"result":"⪎⋱⫍C4","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3674","layer":4},{"info":"number node, value=3899","layer":4},{"info":"compute binary expreesion, left_input=3674, right_input=3899, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=2045","layer":4},{"info":"compute unary expreesion, input=2045, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-4090","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-4090, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":2},{"info":"number node, value=1059","layer":4},{"info":"number node, value=2276","layer":4},{"info":"compute binary expreesion, left_input=1059, right_input=2276, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-6828","layer":3},{"info":"compute unary expreesion, input=-6828, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=-6828","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-6828, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=3160","layer":4},{"info":"number node, value=2134","layer":4},{"info":"compute binary expreesion, left_input=3160, right_input=2134, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=8319","layer":4},{"info":"number node, value=7482","layer":4},{"info":"compute binary expreesion, left_input=8319, right_input=7482, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=1776","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1776, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-1776","layer":2},{"info":"number node, value=1020","layer":4},{"info":"number node, value=3554","layer":4},{"info":"compute binary expreesion, left_input=1020, right_input=3554, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-2534","layer":3},{"info":"compute unary expreesion, input=-2534, 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=-1776, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍1898≭⪎⋱⫍1A0C)⩷∴(⪎⋱⫍C14≋⫹)⨐⩸⫘((⪎⋱⫍636↙⪎⋱⫍1061)⊭∹↮)⨵⪆(⪎⋱⫍1591⩨⪎⋱⫍C82⪒(⪎⋱⫍3A2C⪨≂⪎⋱⫍3537)/(⨰⫟⨤(⪎⋱⫍606-⪎⋱⫍1805)))=⪎⋱⫍C4","reverse_text":"⪎⋱⫍C4=(⪎⋱⫍1898≭⪎⋱⫍1A0C)⩷∴(⪎⋱⫍C14≋⫹)⨐⩸⫘((⪎⋱⫍636↙⪎⋱⫍1061)⊭∹↮)⨵⪆(⪎⋱⫍1591⩨⪎⋱⫍C82⪒(⪎⋱⫍3A2C⪨≂⪎⋱⫍3537)/(⨰⫟⨤(⪎⋱⫍606-⪎⋱⫍1805)))","cot":[{"info":"⪎⋱⫍1898≭⪎⋱⫍1A0C=NaN","layer":3},{"info":"⪎⋱⫍C14≋⫹=⪎⋱⫍-1B28","layer":3},{"info":"NaN⩷∴⪎⋱⫍-1B28=NaN","layer":2},{"info":"⪎⋱⫍636↙⪎⋱⫍1061=⪎⋱⫍-3153","layer":3},{"info":"⪎⋱⫍-3153⊭∹↮=⪎⋱⫍-3153","layer":2},{"info":"NaN⨐⩸⫘⪎⋱⫍-3153=NaN","layer":1},{"info":"⪎⋱⫍1591⩨⪎⋱⫍C82=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍3A2C⪨≂⪎⋱⫍3537=⪎⋱⫍A68","layer":3},{"info":"⪎⋱⫍0⪒⪎⋱⫍A68=⪎⋱⫍-A68","layer":2},{"info":"⪎⋱⫍606-⪎⋱⫍1805=⪎⋱⫍-11CC","layer":3},{"info":"⨰⫟⨤⪎⋱⫍-11CC=NaN","layer":2},{"info":"⪎⋱⫍-A68/NaN=NaN","layer":1},{"info":"NaN⨵⪆NaN=⪎⋱⫍C4","layer":0}]}
{"id":267,"expression_no_base_symbol":"(((↣≠⋷$7065$)⨸⪁(≦∁$1229$))⫸⊐($4394$⪮%⊝$1960$)⊴($5836$⪒$2589$))↙(⋗⩬⋾($3101$⪒$1600$)⪮%⊝($1118$+$3075$))","expression":"(((↣≠⋷⪎⋱⫍32A6)⨸⪁(≦∁⪎⋱⫍737))⫸⊐(⪎⋱⫍2000⪮%⊝⪎⋱⫍B7A)⊴(⪎⋱⫍286C⪒⪎⋱⫍1242))↙(⋗⩬⋾(⪎⋱⫍1547⪒⪎⋱⫍961)⪮%⊝(⪎⋱⫍680+⪎⋱⫍1527))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":9558,"operation_count":12,"complexity_ratio":796.5,"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":7065,"base":13}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":1229,"base":13}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":4394,"base":13},"right_expr":{"type":"numeric_atoms","value":1960,"base":13}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":5836,"base":13},"right_expr":{"type":"numeric_atoms","value":2589,"base":13}}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":3101,"base":13},"right_expr":{"type":"numeric_atoms","value":1600,"base":13}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1118,"base":13},"right_expr":{"type":"numeric_atoms","value":3075,"base":13}}}}},"used_operators":["yyfyN0ffXY","mqXw5SEYmG","g55IO6H4Gj","Asc51vEJeQ","9ICcGScMcE","Nsiff2A1zJ","IWmyXbctLI","f6k1SAg4EE","DpFCA1CohY","W4YGzv6Whe"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","XhwjNDsVaA","AHs5Up7iyr","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","dWAJyo7jo9","14qkJME0vr","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=7065","layer":4},{"info":"compute unary expreesion, input=7065, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=1229","layer":4},{"info":"compute unary expreesion, input=1229, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1229","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1229, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":2},{"info":"number node, value=4394","layer":4},{"info":"number node, value=1960","layer":4},{"info":"compute binary expreesion, left_input=4394, right_input=1960, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=9104","layer":3},{"info":"number node, value=5836","layer":4},{"info":"number node, value=2589","layer":4},{"info":"compute binary expreesion, left_input=5836, right_input=2589, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-8425","layer":3},{"info":"compute binary expreesion, left_input=9104, right_input=-8425, 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 = 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=3101","layer":4},{"info":"number node, value=1600","layer":4},{"info":"compute binary expreesion, left_input=3101, right_input=1600, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4701","layer":3},{"info":"number node, value=1118","layer":4},{"info":"number node, value=3075","layer":4},{"info":"compute binary expreesion, left_input=1118, right_input=3075, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4193","layer":3},{"info":"compute binary expreesion, left_input=-4701, right_input=4193, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-9086","layer":2},{"info":"compute unary expreesion, input=-9086, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=27258","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=27258, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(((↣≠⋷⪎⋱⫍32A6)⨸⪁(≦∁⪎⋱⫍737))⫸⊐(⪎⋱⫍2000⪮%⊝⪎⋱⫍B7A)⊴(⪎⋱⫍286C⪒⪎⋱⫍1242))↙(⋗⩬⋾(⪎⋱⫍1547⪒⪎⋱⫍961)⪮%⊝(⪎⋱⫍680+⪎⋱⫍1527))=NaN","reverse_text":"NaN=(((↣≠⋷⪎⋱⫍32A6)⨸⪁(≦∁⪎⋱⫍737))⫸⊐(⪎⋱⫍2000⪮%⊝⪎⋱⫍B7A)⊴(⪎⋱⫍286C⪒⪎⋱⫍1242))↙(⋗⩬⋾(⪎⋱⫍1547⪒⪎⋱⫍961)⪮%⊝(⪎⋱⫍680+⪎⋱⫍1527))","cot":[{"info":"↣≠⋷⪎⋱⫍32A6=NaN","layer":3},{"info":"≦∁⪎⋱⫍737=⪎⋱⫍737","layer":3},{"info":"NaN⨸⪁⪎⋱⫍737=NaN","layer":2},{"info":"⪎⋱⫍2000⪮%⊝⪎⋱⫍B7A=⪎⋱⫍41B4","layer":3},{"info":"⪎⋱⫍286C⪒⪎⋱⫍1242=⪎⋱⫍-3AB1","layer":3},{"info":"⪎⋱⫍41B4⊴⪎⋱⫍-3AB1=NaN","layer":2},{"info":"NaN⫸⊐NaN=NaN","layer":1},{"info":"⪎⋱⫍1547⪒⪎⋱⫍961=⪎⋱⫍-21A8","layer":3},{"info":"⪎⋱⫍680+⪎⋱⫍1527=⪎⋱⫍1BA7","layer":3},{"info":"⪎⋱⫍-21A8⪮%⊝⪎⋱⫍1BA7=⪎⋱⫍-419C","layer":2},{"info":"⋗⩬⋾⪎⋱⫍-419C=⪎⋱⫍C53A","layer":1},{"info":"NaN↙⪎⋱⫍C53A=NaN","layer":0}]}
{"id":268,"expression_no_base_symbol":"(⨈⫕($2365$+$1393$)↙$3356$⨪↰⇹$1043$)*($3111$⨸⪁$3638$)≹⇙⪍($3100$⊴$6431$)⪘⫢((≦∁$2875$)⨐⩸⫘$3197$⋥≓≎$2489$)","expression":"(⨈⫕(⪎⋱⫍10CC+⪎⋱⫍832)↙⪎⋱⫍16B2⨪↰⇹⪎⋱⫍623)*(⪎⋱⫍1554⨸⪁⪎⋱⫍186B)≹⇙⪍(⪎⋱⫍1546⊴⪎⋱⫍2C09)⪘⫢((≦∁⪎⋱⫍1402)⨐⩸⫘⪎⋱⫍15BC⋥≓≎⪎⋱⫍1196)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":13559,"operation_count":12,"complexity_ratio":1129.9166666666667,"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":2365,"base":13},"right_expr":{"type":"numeric_atoms","value":1393,"base":13}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":3356,"base":13},"right_expr":{"type":"numeric_atoms","value":1043,"base":13}}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":3111,"base":13},"right_expr":{"type":"numeric_atoms","value":3638,"base":13}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":3100,"base":13},"right_expr":{"type":"numeric_atoms","value":6431,"base":13}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":2875,"base":13}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":3197,"base":13},"right_expr":{"type":"numeric_atoms","value":2489,"base":13}}}}},"used_operators":["9HNa5Wba9A","megm06wKyl","yyfyN0ffXY","W4YGzv6Whe","tmPS8pqC7x","oacrs7FA3X","AHs5Up7iyr","g55IO6H4Gj","Nsiff2A1zJ","fu6greOZ01","9ICcGScMcE","Qy55tPpLXF"],"dependent_operators":["W4YGzv6Whe","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","tmPS8pqC7x","DpFCA1CohY","rJVOvQCfKK","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","dWAJyo7jo9","W4YGzv6Whe","dWAJyo7jo9","14qkJME0vr","3ViojmjbAp","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2365","layer":4},{"info":"number node, value=1393","layer":4},{"info":"compute binary expreesion, left_input=2365, right_input=1393, op_id = W4YGzv6Whe binary_op_definition= 'None', output=3758","layer":3},{"info":"number node, value=3356","layer":4},{"info":"number node, value=1043","layer":4},{"info":"compute binary expreesion, left_input=3356, right_input=1043, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=3356","layer":3},{"info":"compute binary expreesion, left_input=3758, right_input=3356, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-10068","layer":2},{"info":"compute unary expreesion, input=-10068, 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=3111","layer":4},{"info":"number node, value=3638","layer":4},{"info":"compute binary expreesion, left_input=3111, right_input=3638, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=13498","layer":3},{"info":"number node, value=3100","layer":4},{"info":"number node, value=6431","layer":4},{"info":"compute binary expreesion, left_input=3100, right_input=6431, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=13498, 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=2875","layer":4},{"info":"compute unary expreesion, input=2875, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=2875","layer":3},{"info":"number node, value=3197","layer":4},{"info":"number node, value=2489","layer":4},{"info":"compute binary expreesion, left_input=3197, right_input=2489, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=1814","layer":3},{"info":"compute binary expreesion, left_input=2875, right_input=1814, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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 = 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=-21, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⨈⫕(⪎⋱⫍10CC+⪎⋱⫍832)↙⪎⋱⫍16B2⨪↰⇹⪎⋱⫍623)*(⪎⋱⫍1554⨸⪁⪎⋱⫍186B)≹⇙⪍(⪎⋱⫍1546⊴⪎⋱⫍2C09)⪘⫢((≦∁⪎⋱⫍1402)⨐⩸⫘⪎⋱⫍15BC⋥≓≎⪎⋱⫍1196)=NaN","reverse_text":"NaN=(⨈⫕(⪎⋱⫍10CC+⪎⋱⫍832)↙⪎⋱⫍16B2⨪↰⇹⪎⋱⫍623)*(⪎⋱⫍1554⨸⪁⪎⋱⫍186B)≹⇙⪍(⪎⋱⫍1546⊴⪎⋱⫍2C09)⪘⫢((≦∁⪎⋱⫍1402)⨐⩸⫘⪎⋱⫍15BC⋥≓≎⪎⋱⫍1196)","cot":[{"info":"⪎⋱⫍10CC+⪎⋱⫍832=⪎⋱⫍1931","layer":3},{"info":"⪎⋱⫍16B2⨪↰⇹⪎⋱⫍623=⪎⋱⫍16B2","layer":3},{"info":"⪎⋱⫍1931↙⪎⋱⫍16B2=⪎⋱⫍-4776","layer":2},{"info":"⨈⫕⪎⋱⫍-4776=⪎⋱⫍-18","layer":1},{"info":"⪎⋱⫍1554⨸⪁⪎⋱⫍186B=⪎⋱⫍61B4","layer":3},{"info":"⪎⋱⫍1546⊴⪎⋱⫍2C09=NaN","layer":3},{"info":"⪎⋱⫍61B4≹⇙⪍NaN=NaN","layer":2},{"info":"≦∁⪎⋱⫍1402=⪎⋱⫍1402","layer":3},{"info":"⪎⋱⫍15BC⋥≓≎⪎⋱⫍1196=⪎⋱⫍A97","layer":3},{"info":"⪎⋱⫍1402⨐⩸⫘⪎⋱⫍A97=NaN","layer":2},{"info":"NaN⪘⫢NaN=NaN","layer":1},{"info":"⪎⋱⫍-18*NaN=NaN","layer":0}]}
{"id":269,"expression_no_base_symbol":"((↯⪼$1902$)%$4790$⨪↰⇹$1161$)⋳⪒((⊄⩳↩$7631$)⫡⨏$1120$*$4355$)⋥≓≎((≤/$1302$)∀⇚≩(↥$2136$)⨸⪁(⪲⇎$4468$)⪘⫢($1994$↙$1230$))","expression":"((↯⪼⪎⋱⫍B34)%⪎⋱⫍2246⨪↰⇹⪎⋱⫍6B4)⋳⪒((⊄⩳↩⪎⋱⫍3620)⫡⨏⪎⋱⫍682*⪎⋱⫍1CA0)⋥≓≎((≤/⪎⋱⫍792)∀⇚≩(↥⪎⋱⫍C84)⨸⪁(⪲⇎⪎⋱⫍2059)⪘⫢(⪎⋱⫍BA5↙⪎⋱⫍738))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":12976,"operation_count":15,"complexity_ratio":865.0666666666667,"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":1902,"base":13}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":4790,"base":13},"right_expr":{"type":"numeric_atoms","value":1161,"base":13}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":7631,"base":13}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1120,"base":13},"right_expr":{"type":"numeric_atoms","value":4355,"base":13}}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1302,"base":13}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":2136,"base":13}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":4468,"base":13}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1994,"base":13},"right_expr":{"type":"numeric_atoms","value":1230,"base":13}}}}},"used_operators":["Qy55tPpLXF","12rbrZMWeM","k8jYdgA6NY","8jW3W4yZS5","tmPS8pqC7x","QMFrweE19q","8w2t5hMYqp","9HNa5Wba9A","g55IO6H4Gj","LRNGc0VcxI","eLAdDNolq6","A8NUZmVepG","oacrs7FA3X","XPYlsWDdGa","yyfyN0ffXY"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","X99M06cbEe","rysDP5nf3Z","k8jYdgA6NY","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY"],"result":"⪎⋱⫍52","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1902","layer":4},{"info":"compute unary expreesion, input=1902, 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=4790","layer":4},{"info":"number node, value=1161","layer":4},{"info":"compute binary expreesion, left_input=4790, right_input=1161, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=4790","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=4790, op_id = k8jYdgA6NY binary_op_definition= 'None', output=4769","layer":2},{"info":"number node, value=7631","layer":4},{"info":"compute unary expreesion, input=7631, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-22893","layer":3},{"info":"number node, value=1120","layer":4},{"info":"number node, value=4355","layer":4},{"info":"compute binary expreesion, left_input=1120, right_input=4355, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=4877600","layer":3},{"info":"compute binary expreesion, left_input=-22893, right_input=4877600, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=9641518","layer":2},{"info":"compute binary expreesion, left_input=4769, right_input=9641518, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-9632267","layer":1},{"info":"number node, value=1302","layer":4},{"info":"compute unary expreesion, input=1302, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-818","layer":3},{"info":"number node, value=2136","layer":4},{"info":"compute unary expreesion, input=2136, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=45","layer":3},{"info":"compute binary expreesion, left_input=-818, right_input=45, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=4468","layer":4},{"info":"compute unary expreesion, input=4468, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=8936","layer":3},{"info":"number node, value=1994","layer":4},{"info":"number node, value=1230","layer":4},{"info":"compute binary expreesion, left_input=1994, right_input=1230, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3690","layer":3},{"info":"compute binary expreesion, left_input=8936, right_input=-3690, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-9632267, 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":13,"result_base":13,"text":"((↯⪼⪎⋱⫍B34)%⪎⋱⫍2246⨪↰⇹⪎⋱⫍6B4)⋳⪒((⊄⩳↩⪎⋱⫍3620)⫡⨏⪎⋱⫍682*⪎⋱⫍1CA0)⋥≓≎((≤/⪎⋱⫍792)∀⇚≩(↥⪎⋱⫍C84)⨸⪁(⪲⇎⪎⋱⫍2059)⪘⫢(⪎⋱⫍BA5↙⪎⋱⫍738))=⪎⋱⫍52","reverse_text":"⪎⋱⫍52=((↯⪼⪎⋱⫍B34)%⪎⋱⫍2246⨪↰⇹⪎⋱⫍6B4)⋳⪒((⊄⩳↩⪎⋱⫍3620)⫡⨏⪎⋱⫍682*⪎⋱⫍1CA0)⋥≓≎((≤/⪎⋱⫍792)∀⇚≩(↥⪎⋱⫍C84)⨸⪁(⪲⇎⪎⋱⫍2059)⪘⫢(⪎⋱⫍BA5↙⪎⋱⫍738))","cot":[{"info":"↯⪼⪎⋱⫍B34=⪎⋱⫍-18","layer":3},{"info":"⪎⋱⫍2246⨪↰⇹⪎⋱⫍6B4=⪎⋱⫍2246","layer":3},{"info":"⪎⋱⫍-18%⪎⋱⫍2246=⪎⋱⫍222B","layer":2},{"info":"⊄⩳↩⪎⋱⫍3620=⪎⋱⫍-A560","layer":3},{"info":"⪎⋱⫍682*⪎⋱⫍1CA0=⪎⋱⫍101A170","layer":3},{"info":"⪎⋱⫍-A560⫡⨏⪎⋱⫍101A170=⪎⋱⫍1CC7653","layer":2},{"info":"⪎⋱⫍222B⋳⪒⪎⋱⫍1CC7653=⪎⋱⫍-1CC3388","layer":1},{"info":"≤/⪎⋱⫍792=⪎⋱⫍-4AC","layer":3},{"info":"↥⪎⋱⫍C84=⪎⋱⫍36","layer":3},{"info":"⪎⋱⫍-4AC∀⇚≩⪎⋱⫍36=NaN","layer":2},{"info":"⪲⇎⪎⋱⫍2059=⪎⋱⫍40B5","layer":3},{"info":"⪎⋱⫍BA5↙⪎⋱⫍738=⪎⋱⫍-18AB","layer":3},{"info":"⪎⋱⫍40B5⪘⫢⪎⋱⫍-18AB=⪎⋱⫍0","layer":2},{"info":"NaN⨸⪁⪎⋱⫍0=NaN","layer":1},{"info":"⪎⋱⫍-1CC3388⋥≓≎NaN=⪎⋱⫍52","layer":0}]}
{"id":270,"expression_no_base_symbol":"(⨰⫟⨤($1106$↺$3083$)↬$8385$⊴$1436$)⫥∨⫟(≉($2051$↙$2447$)≧⫂∧($2248$≣⋋))","expression":"(⨰⫟⨤(⪎⋱⫍671↺⪎⋱⫍1532)↬⪎⋱⫍3A80⊴⪎⋱⫍866)⫥∨⫟(≉(⪎⋱⫍C1A↙⪎⋱⫍1163)≧⫂∧(⪎⋱⫍103C≣⋋))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":5459,"operation_count":9,"complexity_ratio":606.5555555555555,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1106,"base":13},"right_expr":{"type":"numeric_atoms","value":3083,"base":13}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":8385,"base":13},"right_expr":{"type":"numeric_atoms","value":1436,"base":13}}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2051,"base":13},"right_expr":{"type":"numeric_atoms","value":2447,"base":13}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":2248,"base":13}}}}},"used_operators":["KYD54nUTWz","Tw270M8GLb","B5M0gjZbta","7j4O788W3g","Nsiff2A1zJ","e1ybzncUwg","Ph9nP6C5qx","yyfyN0ffXY","Tcnh7f0tEr"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1106","layer":4},{"info":"number node, value=3083","layer":4},{"info":"compute binary expreesion, left_input=1106, right_input=3083, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3083","layer":3},{"info":"number node, value=8385","layer":4},{"info":"number node, value=1436","layer":4},{"info":"compute binary expreesion, left_input=8385, right_input=1436, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3083, right_input=nan, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":1},{"info":"number node, value=2051","layer":4},{"info":"number node, value=2447","layer":4},{"info":"compute binary expreesion, left_input=2051, right_input=2447, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-7341","layer":3},{"info":"number node, value=2248","layer":4},{"info":"compute unary expreesion, input=2248, 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=-7341, right_input=0, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-473","layer":2},{"info":"compute unary expreesion, input=-473, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=-473","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-473, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⨰⫟⨤(⪎⋱⫍671↺⪎⋱⫍1532)↬⪎⋱⫍3A80⊴⪎⋱⫍866)⫥∨⫟(≉(⪎⋱⫍C1A↙⪎⋱⫍1163)≧⫂∧(⪎⋱⫍103C≣⋋))=NaN","reverse_text":"NaN=(⨰⫟⨤(⪎⋱⫍671↺⪎⋱⫍1532)↬⪎⋱⫍3A80⊴⪎⋱⫍866)⫥∨⫟(≉(⪎⋱⫍C1A↙⪎⋱⫍1163)≧⫂∧(⪎⋱⫍103C≣⋋))","cot":[{"info":"⪎⋱⫍671↺⪎⋱⫍1532=⪎⋱⫍1532","layer":3},{"info":"⪎⋱⫍3A80⊴⪎⋱⫍866=NaN","layer":3},{"info":"⪎⋱⫍1532↬NaN=NaN","layer":2},{"info":"⨰⫟⨤NaN=NaN","layer":1},{"info":"⪎⋱⫍C1A↙⪎⋱⫍1163=⪎⋱⫍-3459","layer":3},{"info":"⪎⋱⫍103C≣⋋=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍-3459≧⫂∧⪎⋱⫍0=⪎⋱⫍-2A5","layer":2},{"info":"≉⪎⋱⫍-2A5=⪎⋱⫍-2A5","layer":1},{"info":"NaN⫥∨⫟⪎⋱⫍-2A5=NaN","layer":0}]}
{"id":271,"expression_no_base_symbol":"($5325$↙$2418$)⊴($1002$⪘⫢$6102$)↙(($3939$⫡⨏$2148$)⊪)⨳⩥⨓(($8669$∸)⊉≛↸$1210$⪮%⊝$3102$)⋝⋈⪟($1408$⇷$4250$)⨪↰⇹($1079$⋫)","expression":"(⪎⋱⫍2568↙⪎⋱⫍1140)⊴(⪎⋱⫍5C1⪘⫢⪎⋱⫍2A15)↙((⪎⋱⫍1A40⫡⨏⪎⋱⫍C93)⊪)⨳⩥⨓((⪎⋱⫍3C3B∸)⊉≛↸⪎⋱⫍721⪮%⊝⪎⋱⫍1548)⋝⋈⪟(⪎⋱⫍844⇷⪎⋱⫍1C1C)⨪↰⇹(⪎⋱⫍650⋫)","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":34094,"operation_count":14,"complexity_ratio":2435.285714285714,"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":5325,"base":13},"right_expr":{"type":"numeric_atoms","value":2418,"base":13}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1002,"base":13},"right_expr":{"type":"numeric_atoms","value":6102,"base":13}}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":3939,"base":13},"right_expr":{"type":"numeric_atoms","value":2148,"base":13}}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":8669,"base":13}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1210,"base":13},"right_expr":{"type":"numeric_atoms","value":3102,"base":13}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1408,"base":13},"right_expr":{"type":"numeric_atoms","value":4250,"base":13}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":1079,"base":13}}}}},"used_operators":["nCS4ZIUYfx","yyfyN0ffXY","Nsiff2A1zJ","oacrs7FA3X","zVYPLywUTj","QMFrweE19q","2DDjHMKMc0","DZ8iAZOCBD","o20kRiQErp","IWmyXbctLI","tmPS8pqC7x","mp7IySMOzn","JL8yIekQnl"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","tmPS8pqC7x","DpFCA1CohY","dWAJyo7jo9","14qkJME0vr","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rJVOvQCfKK","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","tmPS8pqC7x"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5325","layer":4},{"info":"number node, value=2418","layer":4},{"info":"compute binary expreesion, left_input=5325, right_input=2418, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-7254","layer":3},{"info":"number node, value=1002","layer":4},{"info":"number node, value=6102","layer":4},{"info":"compute binary expreesion, left_input=1002, right_input=6102, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=1880","layer":3},{"info":"compute binary expreesion, left_input=-7254, right_input=1880, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=3939","layer":4},{"info":"number node, value=2148","layer":4},{"info":"compute binary expreesion, left_input=3939, right_input=2148, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=24774","layer":3},{"info":"compute unary expreesion, input=24774, 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 = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":1},{"info":"number node, value=8669","layer":4},{"info":"compute unary expreesion, input=8669, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"number node, value=1210","layer":4},{"info":"number node, value=3102","layer":4},{"info":"compute binary expreesion, left_input=1210, right_input=3102, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=2736","layer":3},{"info":"compute binary expreesion, left_input=177, right_input=2736, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=354","layer":2},{"info":"number node, value=1408","layer":4},{"info":"number node, value=4250","layer":4},{"info":"compute binary expreesion, left_input=1408, right_input=4250, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=8500","layer":3},{"info":"number node, value=1079","layer":4},{"info":"compute unary expreesion, input=1079, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=1079","layer":3},{"info":"compute binary expreesion, left_input=8500, right_input=1079, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=8500","layer":2},{"info":"compute binary expreesion, left_input=354, right_input=8500, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=354","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=354, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍2568↙⪎⋱⫍1140)⊴(⪎⋱⫍5C1⪘⫢⪎⋱⫍2A15)↙((⪎⋱⫍1A40⫡⨏⪎⋱⫍C93)⊪)⨳⩥⨓((⪎⋱⫍3C3B∸)⊉≛↸⪎⋱⫍721⪮%⊝⪎⋱⫍1548)⋝⋈⪟(⪎⋱⫍844⇷⪎⋱⫍1C1C)⨪↰⇹(⪎⋱⫍650⋫)=NaN","reverse_text":"NaN=(⪎⋱⫍2568↙⪎⋱⫍1140)⊴(⪎⋱⫍5C1⪘⫢⪎⋱⫍2A15)↙((⪎⋱⫍1A40⫡⨏⪎⋱⫍C93)⊪)⨳⩥⨓((⪎⋱⫍3C3B∸)⊉≛↸⪎⋱⫍721⪮%⊝⪎⋱⫍1548)⋝⋈⪟(⪎⋱⫍844⇷⪎⋱⫍1C1C)⨪↰⇹(⪎⋱⫍650⋫)","cot":[{"info":"⪎⋱⫍2568↙⪎⋱⫍1140=⪎⋱⫍-33C0","layer":3},{"info":"⪎⋱⫍5C1⪘⫢⪎⋱⫍2A15=⪎⋱⫍B18","layer":3},{"info":"⪎⋱⫍-33C0⊴⪎⋱⫍B18=NaN","layer":2},{"info":"⪎⋱⫍1A40⫡⨏⪎⋱⫍C93=⪎⋱⫍B379","layer":3},{"info":"⪎⋱⫍B379⊪=⪎⋱⫍0","layer":2},{"info":"NaN↙⪎⋱⫍0=NaN","layer":1},{"info":"⪎⋱⫍3C3B∸=⪎⋱⫍108","layer":3},{"info":"⪎⋱⫍721⪮%⊝⪎⋱⫍1548=⪎⋱⫍1326","layer":3},{"info":"⪎⋱⫍108⊉≛↸⪎⋱⫍1326=⪎⋱⫍213","layer":2},{"info":"⪎⋱⫍844⇷⪎⋱⫍1C1C=⪎⋱⫍3B3B","layer":3},{"info":"⪎⋱⫍650⋫=⪎⋱⫍650","layer":3},{"info":"⪎⋱⫍3B3B⨪↰⇹⪎⋱⫍650=⪎⋱⫍3B3B","layer":2},{"info":"⪎⋱⫍213⋝⋈⪟⪎⋱⫍3B3B=⪎⋱⫍213","layer":1},{"info":"NaN⨳⩥⨓⪎⋱⫍213=NaN","layer":0}]}
{"id":272,"expression_no_base_symbol":"((($4969$⨳⩥⨓$5723$)⩤)%(($5303$⪄$1953$)⊠≄⫣))∼($2703$⨓$1081$↺$5192$⋝⋈⪟$3211$/($1076$⪮%⊝$2474$⫩⊇))","expression":"(((⪎⋱⫍2353⨳⩥⨓⪎⋱⫍27B3)⩤)%((⪎⋱⫍254C⪄⪎⋱⫍B73)⊠≄⫣))∼(⪎⋱⫍12CC⨓⪎⋱⫍652↺⪎⋱⫍2495⋝⋈⪟⪎⋱⫍1600/(⪎⋱⫍64A⪮%⊝⪎⋱⫍1184⫩⊇))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1241,"operation_count":12,"complexity_ratio":103.41666666666667,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":4969,"base":13},"right_expr":{"type":"numeric_atoms","value":5723,"base":13}}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":5303,"base":13},"right_expr":{"type":"numeric_atoms","value":1953,"base":13}}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2703,"base":13},"right_expr":{"type":"numeric_atoms","value":1081,"base":13}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":5192,"base":13},"right_expr":{"type":"numeric_atoms","value":3211,"base":13}}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1076,"base":13},"right_expr":{"type":"numeric_atoms","value":2474,"base":13}}}}},"used_operators":["DyGG3AbaNP","k8jYdgA6NY","Z2TMIBDE3Q","nCS4ZIUYfx","DIvbN7qnHd","SUmda5xLS4","XhwjNDsVaA","7j4O788W3g","3ViojmjbAp","2DDjHMKMc0","BjRHVeLaeN","IWmyXbctLI"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4969","layer":4},{"info":"number node, value=5723","layer":4},{"info":"compute binary expreesion, left_input=4969, right_input=5723, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=754","layer":3},{"info":"compute unary expreesion, input=754, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-754","layer":2},{"info":"number node, value=5303","layer":4},{"info":"number node, value=1953","layer":4},{"info":"compute binary expreesion, left_input=5303, right_input=1953, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-788745","layer":3},{"info":"compute unary expreesion, input=-788745, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-754, right_input=0, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=2703","layer":4},{"info":"number node, value=1081","layer":4},{"info":"compute binary expreesion, left_input=2703, right_input=1081, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1084","layer":3},{"info":"number node, value=5192","layer":4},{"info":"number node, value=3211","layer":4},{"info":"compute binary expreesion, left_input=5192, right_input=3211, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=5192","layer":3},{"info":"compute binary expreesion, left_input=-1084, right_input=5192, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=5192","layer":2},{"info":"number node, value=1076","layer":4},{"info":"number node, value=2474","layer":4},{"info":"compute binary expreesion, left_input=1076, right_input=2474, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=2468","layer":3},{"info":"compute unary expreesion, input=2468, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-2426","layer":2},{"info":"compute binary expreesion, left_input=5192, right_input=-2426, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-3","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-3, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=0","layer":0}],"base":13,"result_base":13,"text":"(((⪎⋱⫍2353⨳⩥⨓⪎⋱⫍27B3)⩤)%((⪎⋱⫍254C⪄⪎⋱⫍B73)⊠≄⫣))∼(⪎⋱⫍12CC⨓⪎⋱⫍652↺⪎⋱⫍2495⋝⋈⪟⪎⋱⫍1600/(⪎⋱⫍64A⪮%⊝⪎⋱⫍1184⫩⊇))=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=(((⪎⋱⫍2353⨳⩥⨓⪎⋱⫍27B3)⩤)%((⪎⋱⫍254C⪄⪎⋱⫍B73)⊠≄⫣))∼(⪎⋱⫍12CC⨓⪎⋱⫍652↺⪎⋱⫍2495⋝⋈⪟⪎⋱⫍1600/(⪎⋱⫍64A⪮%⊝⪎⋱⫍1184⫩⊇))","cot":[{"info":"⪎⋱⫍2353⨳⩥⨓⪎⋱⫍27B3=⪎⋱⫍460","layer":3},{"info":"⪎⋱⫍460⩤=⪎⋱⫍-460","layer":2},{"info":"⪎⋱⫍254C⪄⪎⋱⫍B73=⪎⋱⫍-218019","layer":3},{"info":"⪎⋱⫍-218019⊠≄⫣=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍-460%⪎⋱⫍0=NaN","layer":1},{"info":"⪎⋱⫍12CC⨓⪎⋱⫍652=⪎⋱⫍-655","layer":3},{"info":"⪎⋱⫍2495⋝⋈⪟⪎⋱⫍1600=⪎⋱⫍2495","layer":3},{"info":"⪎⋱⫍-655↺⪎⋱⫍2495=⪎⋱⫍2495","layer":2},{"info":"⪎⋱⫍64A⪮%⊝⪎⋱⫍1184=⪎⋱⫍117B","layer":3},{"info":"⪎⋱⫍117B⫩⊇=⪎⋱⫍-1148","layer":2},{"info":"⪎⋱⫍2495/⪎⋱⫍-1148=⪎⋱⫍-3","layer":1},{"info":"NaN∼⪎⋱⫍-3=⪎⋱⫍0","layer":0}]}
{"id":273,"expression_no_base_symbol":"(⋗⩬⋾$4653$↬$1178$)⪢(⋗⩬⋾(⫓⪴$1424$))⋝⋈⪟((($1622$+$2629$)*$1626$⪮%⊝$1083$)⊘)","expression":"(⋗⩬⋾⪎⋱⫍216C↬⪎⋱⫍6C8)⪢(⋗⩬⋾(⫓⪴⪎⋱⫍857))⋝⋈⪟(((⪎⋱⫍97A+⪎⋱⫍1273)*⪎⋱⫍981⪮%⊝⪎⋱⫍654)⊘)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":5032,"operation_count":10,"complexity_ratio":503.2,"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":4653,"base":13},"right_expr":{"type":"numeric_atoms","value":1178,"base":13}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":1424,"base":13}}}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1622,"base":13},"right_expr":{"type":"numeric_atoms","value":2629,"base":13}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1626,"base":13},"right_expr":{"type":"numeric_atoms","value":1083,"base":13}}}}},"used_operators":["2DDjHMKMc0","dWAJyo7jo9","DpFCA1CohY","B5M0gjZbta","eLxqMNBOBk","gu96TGCTMs","9HNa5Wba9A","W4YGzv6Whe","IWmyXbctLI"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","9HNa5Wba9A","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","W4YGzv6Whe","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4653","layer":4},{"info":"number node, value=1178","layer":4},{"info":"compute binary expreesion, left_input=4653, right_input=1178, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=nan","layer":2},{"info":"number node, value=1424","layer":4},{"info":"compute unary expreesion, input=1424, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=2027776","layer":3},{"info":"compute unary expreesion, input=2027776, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-6083328","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-6083328, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=1622","layer":4},{"info":"number node, value=2629","layer":4},{"info":"compute binary expreesion, left_input=1622, right_input=2629, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4251","layer":3},{"info":"number node, value=1626","layer":4},{"info":"number node, value=1083","layer":4},{"info":"compute binary expreesion, left_input=1626, right_input=1083, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3568","layer":3},{"info":"compute binary expreesion, left_input=4251, right_input=3568, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=15167568","layer":2},{"info":"compute unary expreesion, input=15167568, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⋗⩬⋾⪎⋱⫍216C↬⪎⋱⫍6C8)⪢(⋗⩬⋾(⫓⪴⪎⋱⫍857))⋝⋈⪟(((⪎⋱⫍97A+⪎⋱⫍1273)*⪎⋱⫍981⪮%⊝⪎⋱⫍654)⊘)=NaN","reverse_text":"NaN=(⋗⩬⋾⪎⋱⫍216C↬⪎⋱⫍6C8)⪢(⋗⩬⋾(⫓⪴⪎⋱⫍857))⋝⋈⪟(((⪎⋱⫍97A+⪎⋱⫍1273)*⪎⋱⫍981⪮%⊝⪎⋱⫍654)⊘)","cot":[{"info":"⪎⋱⫍216C↬⪎⋱⫍6C8=NaN","layer":3},{"info":"⋗⩬⋾NaN=NaN","layer":2},{"info":"⫓⪴⪎⋱⫍857=⪎⋱⫍55CC8A","layer":3},{"info":"⋗⩬⋾⪎⋱⫍55CC8A=⪎⋱⫍-134CC04","layer":2},{"info":"NaN⪢⪎⋱⫍-134CC04=NaN","layer":1},{"info":"⪎⋱⫍97A+⪎⋱⫍1273=⪎⋱⫍1C20","layer":3},{"info":"⪎⋱⫍981⪮%⊝⪎⋱⫍654=⪎⋱⫍1816","layer":3},{"info":"⪎⋱⫍1C20*⪎⋱⫍1816=⪎⋱⫍31B09C0","layer":2},{"info":"⪎⋱⫍31B09C0⊘=⪎⋱⫍0","layer":1},{"info":"NaN⋝⋈⪟⪎⋱⫍0=NaN","layer":0}]}
{"id":274,"expression_no_base_symbol":"⫛⫱⨽((∂$3286$)⊭↱$8280$∼$5707$⊭↱(≉($1889$*$2167$)))","expression":"⫛⫱⨽((∂⪎⋱⫍165A)⊭↱⪎⋱⫍39CC∼⪎⋱⫍27A0⊭↱(≉(⪎⋱⫍B24*⪎⋱⫍CA9)))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":2980,"operation_count":7,"complexity_ratio":425.7142857142857,"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":3286,"base":13}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":8280,"base":13},"right_expr":{"type":"numeric_atoms","value":5707,"base":13}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1889,"base":13},"right_expr":{"type":"numeric_atoms","value":2167,"base":13}}}}},"used_operators":["DlLNRPXxWL","COABgblf1C","Uaa54Peajs","DyGG3AbaNP","e1ybzncUwg","9HNa5Wba9A"],"dependent_operators":["rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3286","layer":4},{"info":"compute unary expreesion, input=3286, 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=8280","layer":4},{"info":"number node, value=5707","layer":4},{"info":"compute binary expreesion, left_input=8280, right_input=5707, 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 = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":2},{"info":"number node, value=1889","layer":4},{"info":"number node, value=2167","layer":4},{"info":"compute binary expreesion, left_input=1889, right_input=2167, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=4093463","layer":3},{"info":"compute unary expreesion, input=4093463, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=4093994","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=4093994, 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 = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⫛⫱⨽((∂⪎⋱⫍165A)⊭↱⪎⋱⫍39CC∼⪎⋱⫍27A0⊭↱(≉(⪎⋱⫍B24*⪎⋱⫍CA9)))=NaN","reverse_text":"NaN=⫛⫱⨽((∂⪎⋱⫍165A)⊭↱⪎⋱⫍39CC∼⪎⋱⫍27A0⊭↱(≉(⪎⋱⫍B24*⪎⋱⫍CA9)))","cot":[{"info":"∂⪎⋱⫍165A=NaN","layer":3},{"info":"⪎⋱⫍39CC∼⪎⋱⫍27A0=NaN","layer":3},{"info":"NaN⊭↱NaN=NaN","layer":2},{"info":"⪎⋱⫍B24*⪎⋱⫍CA9=⪎⋱⫍B0428A","layer":3},{"info":"≉⪎⋱⫍B0428A=⪎⋱⫍B045A8","layer":2},{"info":"NaN⊭↱⪎⋱⫍B045A8=NaN","layer":1},{"info":"⫛⫱⨽NaN=NaN","layer":0}]}
{"id":275,"expression_no_base_symbol":"($2706$⨓$1775$⨓($3118$⪒$1060$)⇼⇔∾((≉$2050$)⫡⨏$3464$⨰$1357$))↺(⊥(($4785$⊭∹↮)≧⫂∧($1161$≦≮≮)))","expression":"(⪎⋱⫍1302⨓⪎⋱⫍A67⨓(⪎⋱⫍155B⪒⪎⋱⫍637)⇼⇔∾((≉⪎⋱⫍C19)⫡⨏⪎⋱⫍1766⨰⪎⋱⫍805))↺(⊥((⪎⋱⫍2241⊭∹↮)≧⫂∧(⪎⋱⫍6B4≦≮≮)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":5999,"operation_count":12,"complexity_ratio":499.9166666666667,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2706,"base":13},"right_expr":{"type":"numeric_atoms","value":1775,"base":13}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":3118,"base":13},"right_expr":{"type":"numeric_atoms","value":1060,"base":13}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":2050,"base":13}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":3464,"base":13},"right_expr":{"type":"numeric_atoms","value":1357,"base":13}}}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":4785,"base":13}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":1161,"base":13}}}}},"used_operators":["7j4O788W3g","tifHPKVTfV","3ViojmjbAp","f6k1SAg4EE","QMFrweE19q","e1ybzncUwg","eewbuw0ToL","Q3PJZHRvZv","Ph9nP6C5qx","xNBdhnnwKq","D4vGDi5EA2"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","fu6greOZ01","rysDP5nf3Z","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2706","layer":4},{"info":"number node, value=1775","layer":4},{"info":"compute binary expreesion, left_input=2706, right_input=1775, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1778","layer":3},{"info":"number node, value=3118","layer":4},{"info":"number node, value=1060","layer":4},{"info":"compute binary expreesion, left_input=3118, right_input=1060, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4178","layer":3},{"info":"compute binary expreesion, left_input=-1778, right_input=-4178, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=4175","layer":2},{"info":"number node, value=2050","layer":4},{"info":"compute unary expreesion, input=2050, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=2581","layer":3},{"info":"number node, value=3464","layer":4},{"info":"number node, value=1357","layer":4},{"info":"compute binary expreesion, left_input=3464, right_input=1357, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=2117","layer":3},{"info":"compute binary expreesion, left_input=2581, right_input=2117, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=17922","layer":2},{"info":"compute binary expreesion, left_input=4175, right_input=17922, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=13747","layer":1},{"info":"number node, value=4785","layer":4},{"info":"compute unary expreesion, input=4785, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=9570","layer":3},{"info":"number node, value=1161","layer":4},{"info":"compute unary expreesion, input=1161, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-3483","layer":3},{"info":"compute binary expreesion, left_input=9570, right_input=-3483, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=13053","layer":2},{"info":"compute unary expreesion, input=13053, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=13747, 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":13,"result_base":13,"text":"(⪎⋱⫍1302⨓⪎⋱⫍A67⨓(⪎⋱⫍155B⪒⪎⋱⫍637)⇼⇔∾((≉⪎⋱⫍C19)⫡⨏⪎⋱⫍1766⨰⪎⋱⫍805))↺(⊥((⪎⋱⫍2241⊭∹↮)≧⫂∧(⪎⋱⫍6B4≦≮≮)))=NaN","reverse_text":"NaN=(⪎⋱⫍1302⨓⪎⋱⫍A67⨓(⪎⋱⫍155B⪒⪎⋱⫍637)⇼⇔∾((≉⪎⋱⫍C19)⫡⨏⪎⋱⫍1766⨰⪎⋱⫍805))↺(⊥((⪎⋱⫍2241⊭∹↮)≧⫂∧(⪎⋱⫍6B4≦≮≮)))","cot":[{"info":"⪎⋱⫍1302⨓⪎⋱⫍A67=⪎⋱⫍-A6A","layer":3},{"info":"⪎⋱⫍155B⪒⪎⋱⫍637=⪎⋱⫍-1B95","layer":3},{"info":"⪎⋱⫍-A6A⨓⪎⋱⫍-1B95=⪎⋱⫍1B92","layer":2},{"info":"≉⪎⋱⫍C19=⪎⋱⫍1237","layer":3},{"info":"⪎⋱⫍1766⨰⪎⋱⫍805=⪎⋱⫍C6B","layer":3},{"info":"⪎⋱⫍1237⫡⨏⪎⋱⫍C6B=⪎⋱⫍8208","layer":2},{"info":"⪎⋱⫍1B92⇼⇔∾⪎⋱⫍8208=⪎⋱⫍6346","layer":1},{"info":"⪎⋱⫍2241⊭∹↮=⪎⋱⫍4482","layer":3},{"info":"⪎⋱⫍6B4≦≮≮=⪎⋱⫍-177C","layer":3},{"info":"⪎⋱⫍4482≧⫂∧⪎⋱⫍-177C=⪎⋱⫍5C31","layer":2},{"info":"⊥⪎⋱⫍5C31=NaN","layer":1},{"info":"⪎⋱⫍6346↺NaN=NaN","layer":0}]}
{"id":276,"expression_no_base_symbol":"((-$1017$)*$1482$≎⊠⪸$2164$⪨≂(≦∁($1963$⨁⊸⫻)))+⇶⊼(($4887$≎⊠⪸$4594$)⪘⫢$2293$⪢$4110$)⊴(↽≂($5810$⋷$2304$))","expression":"((-⪎⋱⫍603)*⪎⋱⫍8A0≎⊠⪸⪎⋱⫍CA6⪨≂(≦∁(⪎⋱⫍B80⨁⊸⫻)))+⇶⊼((⪎⋱⫍22BC≎⊠⪸⪎⋱⫍2125)⪘⫢⪎⋱⫍1075⪢⪎⋱⫍1B42)⊴(↽≂(⪎⋱⫍284C⋷⪎⋱⫍1083))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":8101,"operation_count":13,"complexity_ratio":623.1538461538462,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1017,"base":13}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1482,"base":13},"right_expr":{"type":"numeric_atoms","value":2164,"base":13}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":1963,"base":13}}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":4887,"base":13},"right_expr":{"type":"numeric_atoms","value":4594,"base":13}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2293,"base":13},"right_expr":{"type":"numeric_atoms","value":4110,"base":13}}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":5810,"base":13},"right_expr":{"type":"numeric_atoms","value":2304,"base":13}}}}},"used_operators":["TpPTUOHfaN","sdazOOVcIp","9HNa5Wba9A","t8gj7n24qd","bJkvcejdHO","9ICcGScMcE","glklzrTFfD","Nsiff2A1zJ","oacrs7FA3X","dWAJyo7jo9","u6S6b8DprG","23Mk6UjR3U"],"dependent_operators":["AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","14qkJME0vr","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1017","layer":4},{"info":"compute unary expreesion, input=1017, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1017","layer":3},{"info":"number node, value=1482","layer":4},{"info":"number node, value=2164","layer":4},{"info":"compute binary expreesion, left_input=1482, right_input=2164, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=383365","layer":3},{"info":"compute binary expreesion, left_input=-1017, right_input=383365, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-389882205","layer":2},{"info":"number node, value=1963","layer":4},{"info":"compute unary expreesion, input=1963, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=1963","layer":3},{"info":"compute unary expreesion, input=1963, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1963","layer":2},{"info":"compute binary expreesion, left_input=-389882205, right_input=1963, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-779768234","layer":1},{"info":"number node, value=4887","layer":4},{"info":"number node, value=4594","layer":4},{"info":"compute binary expreesion, left_input=4887, right_input=4594, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1265260","layer":3},{"info":"number node, value=2293","layer":4},{"info":"number node, value=4110","layer":4},{"info":"compute binary expreesion, left_input=2293, right_input=4110, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=1265260, right_input=nan, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":2},{"info":"number node, value=5810","layer":4},{"info":"number node, value=2304","layer":4},{"info":"compute binary expreesion, left_input=5810, right_input=2304, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-1202","layer":3},{"info":"compute unary expreesion, input=-1202, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=2404","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=2404, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-779768234, 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":13,"result_base":13,"text":"((-⪎⋱⫍603)*⪎⋱⫍8A0≎⊠⪸⪎⋱⫍CA6⪨≂(≦∁(⪎⋱⫍B80⨁⊸⫻)))+⇶⊼((⪎⋱⫍22BC≎⊠⪸⪎⋱⫍2125)⪘⫢⪎⋱⫍1075⪢⪎⋱⫍1B42)⊴(↽≂(⪎⋱⫍284C⋷⪎⋱⫍1083))=NaN","reverse_text":"NaN=((-⪎⋱⫍603)*⪎⋱⫍8A0≎⊠⪸⪎⋱⫍CA6⪨≂(≦∁(⪎⋱⫍B80⨁⊸⫻)))+⇶⊼((⪎⋱⫍22BC≎⊠⪸⪎⋱⫍2125)⪘⫢⪎⋱⫍1075⪢⪎⋱⫍1B42)⊴(↽≂(⪎⋱⫍284C⋷⪎⋱⫍1083))","cot":[{"info":"-⪎⋱⫍603=⪎⋱⫍-603","layer":3},{"info":"⪎⋱⫍8A0≎⊠⪸⪎⋱⫍CA6=⪎⋱⫍105658","layer":3},{"info":"⪎⋱⫍-603*⪎⋱⫍105658=⪎⋱⫍-62A0B23B","layer":2},{"info":"⪎⋱⫍B80⨁⊸⫻=⪎⋱⫍B80","layer":3},{"info":"≦∁⪎⋱⫍B80=⪎⋱⫍B80","layer":2},{"info":"⪎⋱⫍-62A0B23B⪨≂⪎⋱⫍B80=⪎⋱⫍-C571B12B","layer":1},{"info":"⪎⋱⫍22BC≎⊠⪸⪎⋱⫍2125=⪎⋱⫍353B99","layer":3},{"info":"⪎⋱⫍1075⪢⪎⋱⫍1B42=NaN","layer":3},{"info":"⪎⋱⫍353B99⪘⫢NaN=NaN","layer":2},{"info":"⪎⋱⫍284C⋷⪎⋱⫍1083=⪎⋱⫍-716","layer":3},{"info":"↽≂⪎⋱⫍-716=⪎⋱⫍112C","layer":2},{"info":"NaN⊴⪎⋱⫍112C=NaN","layer":1},{"info":"⪎⋱⫍-C571B12B+⇶⊼NaN=NaN","layer":0}]}
{"id":277,"expression_no_base_symbol":"≦∁(≦∁($3267$⋳⪒$6305$↪⪝))","expression":"≦∁(≦∁(⪎⋱⫍1644⋳⪒⪎⋱⫍2B40↪⪝))","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":12010,"operation_count":4,"complexity_ratio":3002.5,"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":3267,"base":13},"right_expr":{"type":"numeric_atoms","value":6305,"base":13}}}}},"used_operators":["9ICcGScMcE","l07mrZUIn9","12rbrZMWeM"],"dependent_operators":["XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","9HNa5Wba9A","2DDjHMKMc0","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍-686","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3267","layer":4},{"info":"number node, value=6305","layer":4},{"info":"compute binary expreesion, left_input=3267, right_input=6305, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-58","layer":3},{"info":"compute unary expreesion, input=-58, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=-3548556","layer":2},{"info":"compute unary expreesion, input=-3548556, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=67","layer":1},{"info":"compute unary expreesion, input=67, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=-1124","layer":0}],"base":13,"result_base":13,"text":"≦∁(≦∁(⪎⋱⫍1644⋳⪒⪎⋱⫍2B40↪⪝))=⪎⋱⫍-686","reverse_text":"⪎⋱⫍-686=≦∁(≦∁(⪎⋱⫍1644⋳⪒⪎⋱⫍2B40↪⪝))","cot":[{"info":"⪎⋱⫍1644⋳⪒⪎⋱⫍2B40=⪎⋱⫍-46","layer":3},{"info":"⪎⋱⫍-46↪⪝=⪎⋱⫍-97324B","layer":2},{"info":"≦∁⪎⋱⫍-97324B=⪎⋱⫍52","layer":1},{"info":"≦∁⪎⋱⫍52=⪎⋱⫍-686","layer":0}]}
{"id":278,"expression_no_base_symbol":"($7416$⩚⊴⇥$1807$)⪘⫢($2899$⫸⊐$2639$)⩷∴(⪝⪂⫅($6012$⩨$4820$))⋓(($2073$≣⋋)⨐⩸⫘($9618$⊭↱$6262$))∑⇟⊟(($7083$⩨$1930$)⋓(⨑⩽⪐$4266$))","expression":"(⪎⋱⫍34B6⩚⊴⇥⪎⋱⫍A90)⪘⫢(⪎⋱⫍1420⫸⊐⪎⋱⫍1280)⩷∴(⪝⪂⫅(⪎⋱⫍2976⩨⪎⋱⫍226A))⋓((⪎⋱⫍C36≣⋋)⨐⩸⫘(⪎⋱⫍44BB⊭↱⪎⋱⫍2B09))∑⇟⊟((⪎⋱⫍32BB⩨⪎⋱⫍B56)⋓(⨑⩽⪐⪎⋱⫍1C32))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":606,"operation_count":14,"complexity_ratio":43.285714285714285,"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":7416,"base":13},"right_expr":{"type":"numeric_atoms","value":1807,"base":13}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2899,"base":13},"right_expr":{"type":"numeric_atoms","value":2639,"base":13}}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":6012,"base":13},"right_expr":{"type":"numeric_atoms","value":4820,"base":13}}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":2073,"base":13}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":9618,"base":13},"right_expr":{"type":"numeric_atoms","value":6262,"base":13}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":7083,"base":13},"right_expr":{"type":"numeric_atoms","value":1930,"base":13}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":4266,"base":13}}}}},"used_operators":["T2fj7uvVaJ","9FxExcQeMw","oacrs7FA3X","NTOWxs364D","mqXw5SEYmG","XTarYq4gQB","2DlMacCsIx","U7g4x0WXJJ","fu6greOZ01","Tcnh7f0tEr","COABgblf1C","AF7qkfDlqP"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","9HNa5Wba9A","8w2t5hMYqp","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","3ViojmjbAp","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=7416","layer":4},{"info":"number node, value=1807","layer":4},{"info":"compute binary expreesion, left_input=7416, right_input=1807, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-9344","layer":3},{"info":"number node, value=2899","layer":4},{"info":"number node, value=2639","layer":4},{"info":"compute binary expreesion, left_input=2899, right_input=2639, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=10431","layer":3},{"info":"compute binary expreesion, left_input=-9344, right_input=10431, 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=6012","layer":4},{"info":"number node, value=4820","layer":4},{"info":"compute binary expreesion, left_input=6012, right_input=4820, 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 = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-1, right_input=0, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-34","layer":1},{"info":"number node, value=2073","layer":4},{"info":"compute unary expreesion, input=2073, 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=9618","layer":4},{"info":"number node, value=6262","layer":4},{"info":"compute binary expreesion, left_input=9618, right_input=6262, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-6707","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-6707, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=7083","layer":4},{"info":"number node, value=1930","layer":4},{"info":"compute binary expreesion, left_input=7083, right_input=1930, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=4266","layer":4},{"info":"compute unary expreesion, input=4266, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-3993","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-3993, op_id = T2fj7uvVaJ binary_op_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 = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-34, 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":13,"result_base":13,"text":"(⪎⋱⫍34B6⩚⊴⇥⪎⋱⫍A90)⪘⫢(⪎⋱⫍1420⫸⊐⪎⋱⫍1280)⩷∴(⪝⪂⫅(⪎⋱⫍2976⩨⪎⋱⫍226A))⋓((⪎⋱⫍C36≣⋋)⨐⩸⫘(⪎⋱⫍44BB⊭↱⪎⋱⫍2B09))∑⇟⊟((⪎⋱⫍32BB⩨⪎⋱⫍B56)⋓(⨑⩽⪐⪎⋱⫍1C32))=NaN","reverse_text":"NaN=(⪎⋱⫍34B6⩚⊴⇥⪎⋱⫍A90)⪘⫢(⪎⋱⫍1420⫸⊐⪎⋱⫍1280)⩷∴(⪝⪂⫅(⪎⋱⫍2976⩨⪎⋱⫍226A))⋓((⪎⋱⫍C36≣⋋)⨐⩸⫘(⪎⋱⫍44BB⊭↱⪎⋱⫍2B09))∑⇟⊟((⪎⋱⫍32BB⩨⪎⋱⫍B56)⋓(⨑⩽⪐⪎⋱⫍1C32))","cot":[{"info":"⪎⋱⫍34B6⩚⊴⇥⪎⋱⫍A90=⪎⋱⫍-433A","layer":3},{"info":"⪎⋱⫍1420⫸⊐⪎⋱⫍1280=⪎⋱⫍4995","layer":3},{"info":"⪎⋱⫍-433A⪘⫢⪎⋱⫍4995=⪎⋱⫍-1","layer":2},{"info":"⪎⋱⫍2976⩨⪎⋱⫍226A=⪎⋱⫍0","layer":3},{"info":"⪝⪂⫅⪎⋱⫍0=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍-1⩷∴⪎⋱⫍0=⪎⋱⫍-28","layer":1},{"info":"⪎⋱⫍C36≣⋋=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍44BB⊭↱⪎⋱⫍2B09=⪎⋱⫍-308C","layer":3},{"info":"⪎⋱⫍0⨐⩸⫘⪎⋱⫍-308C=NaN","layer":2},{"info":"⪎⋱⫍32BB⩨⪎⋱⫍B56=⪎⋱⫍0","layer":3},{"info":"⨑⩽⪐⪎⋱⫍1C32=⪎⋱⫍-1A82","layer":3},{"info":"⪎⋱⫍0⋓⪎⋱⫍-1A82=⪎⋱⫍0","layer":2},{"info":"NaN∑⇟⊟⪎⋱⫍0=NaN","layer":1},{"info":"⪎⋱⫍-28⋓NaN=NaN","layer":0}]}
{"id":279,"expression_no_base_symbol":"(($4234$⫡⨏$3374$)⇼⇔∾($5937$⩨$2844$))≎⊠⪸($5654$⨵⪆$1376$)⇷($2388$≫≃)↺($5670$∲⫓$2792$)∼$2373$⊴$2443$⇷($2949$⨟⋌⩍$1056$⨎$7057$≧⫂∧$6421$)","expression":"((⪎⋱⫍1C09⫡⨏⪎⋱⫍16C7)⇼⇔∾(⪎⋱⫍2919⩨⪎⋱⫍13AA))≎⊠⪸(⪎⋱⫍275C⨵⪆⪎⋱⫍81B)⇷(⪎⋱⫍1119≫≃)↺(⪎⋱⫍2772∲⫓⪎⋱⫍136A)∼⪎⋱⫍1107⊴⪎⋱⫍115C⇷(⪎⋱⫍145B⨟⋌⩍⪎⋱⫍633⨎⪎⋱⫍329B≧⫂∧⪎⋱⫍2BCC)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":5004,"operation_count":15,"complexity_ratio":333.6,"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":4234,"base":13},"right_expr":{"type":"numeric_atoms","value":3374,"base":13}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":5937,"base":13},"right_expr":{"type":"numeric_atoms","value":2844,"base":13}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":5654,"base":13},"right_expr":{"type":"numeric_atoms","value":1376,"base":13}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":2388,"base":13}}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":5670,"base":13},"right_expr":{"type":"numeric_atoms","value":2792,"base":13}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2373,"base":13},"right_expr":{"type":"numeric_atoms","value":2443,"base":13}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2949,"base":13},"right_expr":{"type":"numeric_atoms","value":1056,"base":13}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":7057,"base":13},"right_expr":{"type":"numeric_atoms","value":6421,"base":13}}}}},"used_operators":["7j4O788W3g","bJkvcejdHO","tifHPKVTfV","QMFrweE19q","2DlMacCsIx","mp7IySMOzn","2DQ55sFlQl","X99M06cbEe","DyGG3AbaNP","i8ToyICDmI","Nsiff2A1zJ","rJVOvQCfKK","rGHVDoGpnC","Ph9nP6C5qx"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍5551","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4234","layer":4},{"info":"number node, value=3374","layer":4},{"info":"compute binary expreesion, left_input=4234, right_input=3374, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=28701","layer":3},{"info":"number node, value=5937","layer":4},{"info":"number node, value=2844","layer":4},{"info":"compute binary expreesion, left_input=5937, right_input=2844, 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=28701, right_input=0, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-28701","layer":2},{"info":"number node, value=5654","layer":4},{"info":"number node, value=1376","layer":4},{"info":"compute binary expreesion, left_input=5654, right_input=1376, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=2388","layer":4},{"info":"compute unary expreesion, input=2388, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=6177","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=6177, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=12354","layer":2},{"info":"compute binary expreesion, left_input=-28701, right_input=12354, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=7433559","layer":1},{"info":"number node, value=5670","layer":4},{"info":"number node, value=2792","layer":4},{"info":"compute binary expreesion, left_input=5670, right_input=2792, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=2373","layer":4},{"info":"number node, value=2443","layer":4},{"info":"compute binary expreesion, left_input=2373, right_input=2443, 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 = 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=2949","layer":4},{"info":"number node, value=1056","layer":4},{"info":"compute binary expreesion, left_input=2949, right_input=1056, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=7057","layer":4},{"info":"number node, value=6421","layer":4},{"info":"compute binary expreesion, left_input=7057, right_input=6421, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=5948","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5948, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=5948","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=5948, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=11896","layer":1},{"info":"compute binary expreesion, left_input=7433559, right_input=11896, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=11896","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍1C09⫡⨏⪎⋱⫍16C7)⇼⇔∾(⪎⋱⫍2919⩨⪎⋱⫍13AA))≎⊠⪸(⪎⋱⫍275C⨵⪆⪎⋱⫍81B)⇷(⪎⋱⫍1119≫≃)↺(⪎⋱⫍2772∲⫓⪎⋱⫍136A)∼⪎⋱⫍1107⊴⪎⋱⫍115C⇷(⪎⋱⫍145B⨟⋌⩍⪎⋱⫍633⨎⪎⋱⫍329B≧⫂∧⪎⋱⫍2BCC)=⪎⋱⫍5551","reverse_text":"⪎⋱⫍5551=((⪎⋱⫍1C09⫡⨏⪎⋱⫍16C7)⇼⇔∾(⪎⋱⫍2919⩨⪎⋱⫍13AA))≎⊠⪸(⪎⋱⫍275C⨵⪆⪎⋱⫍81B)⇷(⪎⋱⫍1119≫≃)↺(⪎⋱⫍2772∲⫓⪎⋱⫍136A)∼⪎⋱⫍1107⊴⪎⋱⫍115C⇷(⪎⋱⫍145B⨟⋌⩍⪎⋱⫍633⨎⪎⋱⫍329B≧⫂∧⪎⋱⫍2BCC)","cot":[{"info":"⪎⋱⫍1C09⫡⨏⪎⋱⫍16C7=⪎⋱⫍100AA","layer":3},{"info":"⪎⋱⫍2919⩨⪎⋱⫍13AA=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍100AA⇼⇔∾⪎⋱⫍0=⪎⋱⫍-100AA","layer":2},{"info":"⪎⋱⫍275C⨵⪆⪎⋱⫍81B=⪎⋱⫍C4","layer":3},{"info":"⪎⋱⫍1119≫≃=⪎⋱⫍2A72","layer":3},{"info":"⪎⋱⫍C4⇷⪎⋱⫍2A72=⪎⋱⫍5814","layer":2},{"info":"⪎⋱⫍-100AA≎⊠⪸⪎⋱⫍5814=⪎⋱⫍1703673","layer":1},{"info":"⪎⋱⫍2772∲⫓⪎⋱⫍136A=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍1107⊴⪎⋱⫍115C=NaN","layer":3},{"info":"⪎⋱⫍0∼NaN=NaN","layer":2},{"info":"⪎⋱⫍145B⨟⋌⩍⪎⋱⫍633=NaN","layer":3},{"info":"⪎⋱⫍329B≧⫂∧⪎⋱⫍2BCC=⪎⋱⫍2927","layer":3},{"info":"NaN⨎⪎⋱⫍2927=⪎⋱⫍2927","layer":2},{"info":"NaN⇷⪎⋱⫍2927=⪎⋱⫍5551","layer":1},{"info":"⪎⋱⫍1703673↺⪎⋱⫍5551=⪎⋱⫍5551","layer":0}]}
{"id":280,"expression_no_base_symbol":"(((⨰⫟⨤$2968$)⇼⇔∾($1198$≦≮≮))⨁⊸⫻)⩨(+⊝⨔(($5783$⫡⨏$4023$)⊪))","expression":"(((⨰⫟⨤⪎⋱⫍1474)⇼⇔∾(⪎⋱⫍712≦≮≮))⨁⊸⫻)⩨(+⊝⨔((⪎⋱⫍282B⫡⨏⪎⋱⫍1AA6)⊪))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":11102,"operation_count":8,"complexity_ratio":1387.75,"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":2968,"base":13}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":1198,"base":13}}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":5783,"base":13},"right_expr":{"type":"numeric_atoms","value":4023,"base":13}}}}},"used_operators":["2DlMacCsIx","glklzrTFfD","tifHPKVTfV","Tw270M8GLb","D4vGDi5EA2","DhbWaqg5eL","zVYPLywUTj","QMFrweE19q"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2968","layer":4},{"info":"compute unary expreesion, input=2968, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=1198","layer":4},{"info":"compute unary expreesion, input=1198, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-3594","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3594, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', 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=5783","layer":4},{"info":"number node, value=4023","layer":4},{"info":"compute binary expreesion, left_input=5783, right_input=4023, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=37744","layer":3},{"info":"compute unary expreesion, input=37744, 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 = 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":13,"result_base":13,"text":"(((⨰⫟⨤⪎⋱⫍1474)⇼⇔∾(⪎⋱⫍712≦≮≮))⨁⊸⫻)⩨(+⊝⨔((⪎⋱⫍282B⫡⨏⪎⋱⫍1AA6)⊪))=NaN","reverse_text":"NaN=(((⨰⫟⨤⪎⋱⫍1474)⇼⇔∾(⪎⋱⫍712≦≮≮))⨁⊸⫻)⩨(+⊝⨔((⪎⋱⫍282B⫡⨏⪎⋱⫍1AA6)⊪))","cot":[{"info":"⨰⫟⨤⪎⋱⫍1474=NaN","layer":3},{"info":"⪎⋱⫍712≦≮≮=⪎⋱⫍-1836","layer":3},{"info":"NaN⇼⇔∾⪎⋱⫍-1836=NaN","layer":2},{"info":"NaN⨁⊸⫻=NaN","layer":1},{"info":"⪎⋱⫍282B⫡⨏⪎⋱⫍1AA6=⪎⋱⫍14245","layer":3},{"info":"⪎⋱⫍14245⊪=⪎⋱⫍0","layer":2},{"info":"+⊝⨔⪎⋱⫍0=⪎⋱⫍901","layer":1},{"info":"NaN⩨⪎⋱⫍901=NaN","layer":0}]}
{"id":281,"expression_no_base_symbol":"((($9678$⪠⩆⊳)⨰$1451$∑⇟⊟$1226$)⨓(($1020$⪨≂$1343$)⇼⇔∾$1270$⩚⊴⇥$2008$))⪘⫢(⨰⫟⨤($4905$⩷∴$6388$⪒(≦∁$1497$)))","expression":"(((⪎⋱⫍4536⪠⩆⊳)⨰⪎⋱⫍878∑⇟⊟⪎⋱⫍734)⨓((⪎⋱⫍606⪨≂⪎⋱⫍7C4)⇼⇔∾⪎⋱⫍769⩚⊴⇥⪎⋱⫍BB6))⪘⫢(⨰⫟⨤(⪎⋱⫍2304⩷∴⪎⋱⫍2BA5⪒(≦∁⪎⋱⫍8B2)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":8067,"operation_count":12,"complexity_ratio":672.25,"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":9678,"base":13}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1451,"base":13},"right_expr":{"type":"numeric_atoms","value":1226,"base":13}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1020,"base":13},"right_expr":{"type":"numeric_atoms","value":1343,"base":13}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1270,"base":13},"right_expr":{"type":"numeric_atoms","value":2008,"base":13}}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":4905,"base":13},"right_expr":{"type":"numeric_atoms","value":6388,"base":13}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":1497,"base":13}}}}},"used_operators":["oacrs7FA3X","3ViojmjbAp","eewbuw0ToL","JLbD19bQDL","U7g4x0WXJJ","tifHPKVTfV","sdazOOVcIp","NTOWxs364D","Tw270M8GLb","f6k1SAg4EE","9FxExcQeMw","9ICcGScMcE"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=9678","layer":4},{"info":"compute unary expreesion, input=9678, 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=1451","layer":4},{"info":"number node, value=1226","layer":4},{"info":"compute binary expreesion, left_input=1451, right_input=1226, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":2},{"info":"number node, value=1020","layer":4},{"info":"number node, value=1343","layer":4},{"info":"compute binary expreesion, left_input=1020, right_input=1343, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-544","layer":3},{"info":"number node, value=1270","layer":4},{"info":"number node, value=2008","layer":4},{"info":"compute binary expreesion, left_input=1270, right_input=2008, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3399","layer":3},{"info":"compute binary expreesion, left_input=-544, right_input=-3399, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-2855","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-2855, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2858","layer":1},{"info":"number node, value=4905","layer":4},{"info":"number node, value=6388","layer":4},{"info":"compute binary expreesion, left_input=4905, right_input=6388, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-2998","layer":3},{"info":"number node, value=1497","layer":4},{"info":"compute unary expreesion, input=1497, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1497","layer":3},{"info":"compute binary expreesion, left_input=-2998, right_input=1497, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=1501","layer":2},{"info":"compute unary expreesion, input=1501, 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=-2858, 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":13,"result_base":13,"text":"(((⪎⋱⫍4536⪠⩆⊳)⨰⪎⋱⫍878∑⇟⊟⪎⋱⫍734)⨓((⪎⋱⫍606⪨≂⪎⋱⫍7C4)⇼⇔∾⪎⋱⫍769⩚⊴⇥⪎⋱⫍BB6))⪘⫢(⨰⫟⨤(⪎⋱⫍2304⩷∴⪎⋱⫍2BA5⪒(≦∁⪎⋱⫍8B2)))=NaN","reverse_text":"NaN=(((⪎⋱⫍4536⪠⩆⊳)⨰⪎⋱⫍878∑⇟⊟⪎⋱⫍734)⨓((⪎⋱⫍606⪨≂⪎⋱⫍7C4)⇼⇔∾⪎⋱⫍769⩚⊴⇥⪎⋱⫍BB6))⪘⫢(⨰⫟⨤(⪎⋱⫍2304⩷∴⪎⋱⫍2BA5⪒(≦∁⪎⋱⫍8B2)))","cot":[{"info":"⪎⋱⫍4536⪠⩆⊳=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍878∑⇟⊟⪎⋱⫍734=NaN","layer":3},{"info":"⪎⋱⫍0⨰NaN=NaN","layer":2},{"info":"⪎⋱⫍606⪨≂⪎⋱⫍7C4=⪎⋱⫍-32B","layer":3},{"info":"⪎⋱⫍769⩚⊴⇥⪎⋱⫍BB6=⪎⋱⫍-1716","layer":3},{"info":"⪎⋱⫍-32B⇼⇔∾⪎⋱⫍-1716=⪎⋱⫍-13B8","layer":2},{"info":"NaN⨓⪎⋱⫍-13B8=⪎⋱⫍-13BB","layer":1},{"info":"⪎⋱⫍2304⩷∴⪎⋱⫍2BA5=⪎⋱⫍-1498","layer":3},{"info":"≦∁⪎⋱⫍8B2=⪎⋱⫍8B2","layer":3},{"info":"⪎⋱⫍-1498⪒⪎⋱⫍8B2=⪎⋱⫍8B6","layer":2},{"info":"⨰⫟⨤⪎⋱⫍8B6=NaN","layer":1},{"info":"⪎⋱⫍-13BB⪘⫢NaN=NaN","layer":0}]}
{"id":282,"expression_no_base_symbol":"($1267$≧⫂∧$3152$↙$7093$⨓$1682$⫸⊐$2658$↬$1094$⋥≓≎($6986$%$1911$))≦≮≮","expression":"(⪎⋱⫍766≧⫂∧⪎⋱⫍1586↙⪎⋱⫍32C8⨓⪎⋱⫍9C5⫸⊐⪎⋱⫍1296↬⪎⋱⫍662⋥≓≎(⪎⋱⫍3245%⪎⋱⫍B40))≦≮≮","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3390,"operation_count":8,"complexity_ratio":423.75,"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":1267,"base":13},"right_expr":{"type":"numeric_atoms","value":3152,"base":13}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":7093,"base":13},"right_expr":{"type":"numeric_atoms","value":1682,"base":13}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2658,"base":13},"right_expr":{"type":"numeric_atoms","value":1094,"base":13}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":6986,"base":13},"right_expr":{"type":"numeric_atoms","value":1911,"base":13}}}}},"used_operators":["D4vGDi5EA2","mqXw5SEYmG","yyfyN0ffXY","Ph9nP6C5qx","3ViojmjbAp","Qy55tPpLXF","B5M0gjZbta","k8jYdgA6NY"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","rysDP5nf3Z"],"result":"⪎⋱⫍-1425","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1267","layer":4},{"info":"number node, value=3152","layer":4},{"info":"compute binary expreesion, left_input=1267, right_input=3152, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2679","layer":3},{"info":"number node, value=7093","layer":4},{"info":"number node, value=1682","layer":4},{"info":"compute binary expreesion, left_input=7093, right_input=1682, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1685","layer":3},{"info":"compute binary expreesion, left_input=2679, right_input=-1685, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-5055","layer":2},{"info":"number node, value=2658","layer":4},{"info":"number node, value=1094","layer":4},{"info":"compute binary expreesion, left_input=2658, right_input=1094, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=6986","layer":4},{"info":"number node, value=1911","layer":4},{"info":"compute binary expreesion, left_input=6986, right_input=1911, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1253","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1253, 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=-5055, right_input=67, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=968","layer":1},{"info":"compute unary expreesion, input=968, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-2904","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍766≧⫂∧⪎⋱⫍1586↙⪎⋱⫍32C8⨓⪎⋱⫍9C5⫸⊐⪎⋱⫍1296↬⪎⋱⫍662⋥≓≎(⪎⋱⫍3245%⪎⋱⫍B40))≦≮≮=⪎⋱⫍-1425","reverse_text":"⪎⋱⫍-1425=(⪎⋱⫍766≧⫂∧⪎⋱⫍1586↙⪎⋱⫍32C8⨓⪎⋱⫍9C5⫸⊐⪎⋱⫍1296↬⪎⋱⫍662⋥≓≎(⪎⋱⫍3245%⪎⋱⫍B40))≦≮≮","cot":[{"info":"⪎⋱⫍766≧⫂∧⪎⋱⫍1586=⪎⋱⫍12B1","layer":3},{"info":"⪎⋱⫍32C8⨓⪎⋱⫍9C5=⪎⋱⫍-9C8","layer":3},{"info":"⪎⋱⫍12B1↙⪎⋱⫍-9C8=⪎⋱⫍-23BB","layer":2},{"info":"⪎⋱⫍1296↬⪎⋱⫍662=NaN","layer":3},{"info":"⪎⋱⫍3245%⪎⋱⫍B40=⪎⋱⫍755","layer":3},{"info":"NaN⋥≓≎⪎⋱⫍755=⪎⋱⫍52","layer":2},{"info":"⪎⋱⫍-23BB⫸⊐⪎⋱⫍52=⪎⋱⫍596","layer":1},{"info":"⪎⋱⫍596≦≮≮=⪎⋱⫍-1425","layer":0}]}
{"id":283,"expression_no_base_symbol":"∥⊫($1667$⇷$3960$⩷∴$1392$↬$4576$⪒(≦∁$1233$)⋥≓≎($2766$⊪))","expression":"∥⊫(⪎⋱⫍9B3⇷⪎⋱⫍1A58⩷∴⪎⋱⫍831↬⪎⋱⫍2110⪒(≦∁⪎⋱⫍73B)⋥≓≎(⪎⋱⫍134A⊪))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":23395,"operation_count":8,"complexity_ratio":2924.375,"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":1667,"base":13},"right_expr":{"type":"numeric_atoms","value":3960,"base":13}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1392,"base":13},"right_expr":{"type":"numeric_atoms","value":4576,"base":13}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":1233,"base":13}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":2766,"base":13}}}}},"used_operators":["P8v4zCKN1o","f6k1SAg4EE","9FxExcQeMw","mp7IySMOzn","B5M0gjZbta","Qy55tPpLXF","9ICcGScMcE","zVYPLywUTj"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1667","layer":4},{"info":"number node, value=3960","layer":4},{"info":"compute binary expreesion, left_input=1667, right_input=3960, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=7920","layer":3},{"info":"number node, value=1392","layer":4},{"info":"number node, value=4576","layer":4},{"info":"compute binary expreesion, left_input=1392, right_input=4576, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=7920, 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=1233","layer":4},{"info":"compute unary expreesion, input=1233, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1233","layer":3},{"info":"number node, value=2766","layer":4},{"info":"compute unary expreesion, input=2766, 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=1233, right_input=0, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-1200","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1200, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"∥⊫(⪎⋱⫍9B3⇷⪎⋱⫍1A58⩷∴⪎⋱⫍831↬⪎⋱⫍2110⪒(≦∁⪎⋱⫍73B)⋥≓≎(⪎⋱⫍134A⊪))=NaN","reverse_text":"NaN=∥⊫(⪎⋱⫍9B3⇷⪎⋱⫍1A58⩷∴⪎⋱⫍831↬⪎⋱⫍2110⪒(≦∁⪎⋱⫍73B)⋥≓≎(⪎⋱⫍134A⊪))","cot":[{"info":"⪎⋱⫍9B3⇷⪎⋱⫍1A58=⪎⋱⫍37B3","layer":3},{"info":"⪎⋱⫍831↬⪎⋱⫍2110=NaN","layer":3},{"info":"⪎⋱⫍37B3⩷∴NaN=NaN","layer":2},{"info":"≦∁⪎⋱⫍73B=⪎⋱⫍73B","layer":3},{"info":"⪎⋱⫍134A⊪=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍73B⋥≓≎⪎⋱⫍0=⪎⋱⫍-714","layer":2},{"info":"NaN⪒⪎⋱⫍-714=NaN","layer":1},{"info":"∥⊫NaN=NaN","layer":0}]}
{"id":284,"expression_no_base_symbol":"⫛⫱⨽(↔($2684$⋝⋈⪟$2705$⋷$4871$∑⇟⊟$1548$))","expression":"⫛⫱⨽(↔(⪎⋱⫍12B6⋝⋈⪟⪎⋱⫍1301⋷⪎⋱⫍22A9∑⇟⊟⪎⋱⫍921))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1074,"operation_count":5,"complexity_ratio":214.8,"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":2684,"base":13},"right_expr":{"type":"numeric_atoms","value":2705,"base":13}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":4871,"base":13},"right_expr":{"type":"numeric_atoms","value":1548,"base":13}}}}},"used_operators":["DlLNRPXxWL","ruOEQAzv1W","23Mk6UjR3U","2DDjHMKMc0","U7g4x0WXJJ"],"dependent_operators":["rGHVDoGpnC","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2684","layer":4},{"info":"number node, value=2705","layer":4},{"info":"compute binary expreesion, left_input=2684, right_input=2705, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2684","layer":3},{"info":"number node, value=4871","layer":4},{"info":"number node, value=1548","layer":4},{"info":"compute binary expreesion, left_input=4871, right_input=1548, 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=2684, 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 = 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 = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":0}],"base":13,"result_base":13,"text":"⫛⫱⨽(↔(⪎⋱⫍12B6⋝⋈⪟⪎⋱⫍1301⋷⪎⋱⫍22A9∑⇟⊟⪎⋱⫍921))=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=⫛⫱⨽(↔(⪎⋱⫍12B6⋝⋈⪟⪎⋱⫍1301⋷⪎⋱⫍22A9∑⇟⊟⪎⋱⫍921))","cot":[{"info":"⪎⋱⫍12B6⋝⋈⪟⪎⋱⫍1301=⪎⋱⫍12B6","layer":3},{"info":"⪎⋱⫍22A9∑⇟⊟⪎⋱⫍921=NaN","layer":3},{"info":"⪎⋱⫍12B6⋷NaN=NaN","layer":2},{"info":"↔NaN=⪎⋱⫍-A4","layer":1},{"info":"⫛⫱⨽⪎⋱⫍-A4=⪎⋱⫍0","layer":0}]}
{"id":285,"expression_no_base_symbol":"($1108$⨪↰⇹$2735$⨐⩸⫘($2684$⪒$4247$)⪒($6084$≭$3268$)↬($5679$⨵⪆$8273$))⋝⋈⪟((⇁⨣⪵$1436$)*($4158$≋⫹))≹⇙⪍($1228$⇷$2742$⋓$5816$⨓$1510$)","expression":"(⪎⋱⫍673⨪↰⇹⪎⋱⫍1325⨐⩸⫘(⪎⋱⫍12B6⪒⪎⋱⫍1C19)⪒(⪎⋱⫍2A00≭⪎⋱⫍1645)↬(⪎⋱⫍277B⨵⪆⪎⋱⫍39C5))⋝⋈⪟((⇁⨣⪵⪎⋱⫍866)*(⪎⋱⫍1B7B≋⫹))≹⇙⪍(⪎⋱⫍736⇷⪎⋱⫍132C⋓⪎⋱⫍2855⨓⪎⋱⫍8C2)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":19854,"operation_count":15,"complexity_ratio":1323.6,"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":1108,"base":13},"right_expr":{"type":"numeric_atoms","value":2735,"base":13}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2684,"base":13},"right_expr":{"type":"numeric_atoms","value":4247,"base":13}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":6084,"base":13},"right_expr":{"type":"numeric_atoms","value":3268,"base":13}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":5679,"base":13},"right_expr":{"type":"numeric_atoms","value":8273,"base":13}}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1436,"base":13}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":4158,"base":13}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1228,"base":13},"right_expr":{"type":"numeric_atoms","value":2742,"base":13}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":5816,"base":13},"right_expr":{"type":"numeric_atoms","value":1510,"base":13}}}}},"used_operators":["2DDjHMKMc0","f6k1SAg4EE","fu6greOZ01","tmPS8pqC7x","B5M0gjZbta","rxpJgHHUmx","2DQ55sFlQl","AHs5Up7iyr","9HNa5Wba9A","inkyxCbjAn","N41Kp7NANJ","T2fj7uvVaJ","mp7IySMOzn","3ViojmjbAp"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","rJVOvQCfKK","rGHVDoGpnC","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","W4YGzv6Whe","B5M0gjZbta","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1108","layer":4},{"info":"number node, value=2735","layer":4},{"info":"compute binary expreesion, left_input=1108, right_input=2735, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1108","layer":3},{"info":"number node, value=2684","layer":4},{"info":"number node, value=4247","layer":4},{"info":"compute binary expreesion, left_input=2684, right_input=4247, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-6931","layer":3},{"info":"compute binary expreesion, left_input=1108, right_input=-6931, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=6084","layer":4},{"info":"number node, value=3268","layer":4},{"info":"compute binary expreesion, left_input=6084, right_input=3268, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=5679","layer":4},{"info":"number node, value=8273","layer":4},{"info":"compute binary expreesion, left_input=5679, right_input=8273, 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 = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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":"number node, value=1436","layer":4},{"info":"compute unary expreesion, input=1436, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=4158","layer":4},{"info":"compute unary expreesion, input=4158, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-8316","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-8316, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=1228","layer":4},{"info":"number node, value=2742","layer":4},{"info":"compute binary expreesion, left_input=1228, right_input=2742, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=5484","layer":3},{"info":"number node, value=5816","layer":4},{"info":"number node, value=1510","layer":4},{"info":"compute binary expreesion, left_input=5816, right_input=1510, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1513","layer":3},{"info":"compute binary expreesion, left_input=5484, right_input=-1513, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"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":13,"result_base":13,"text":"(⪎⋱⫍673⨪↰⇹⪎⋱⫍1325⨐⩸⫘(⪎⋱⫍12B6⪒⪎⋱⫍1C19)⪒(⪎⋱⫍2A00≭⪎⋱⫍1645)↬(⪎⋱⫍277B⨵⪆⪎⋱⫍39C5))⋝⋈⪟((⇁⨣⪵⪎⋱⫍866)*(⪎⋱⫍1B7B≋⫹))≹⇙⪍(⪎⋱⫍736⇷⪎⋱⫍132C⋓⪎⋱⫍2855⨓⪎⋱⫍8C2)=NaN","reverse_text":"NaN=(⪎⋱⫍673⨪↰⇹⪎⋱⫍1325⨐⩸⫘(⪎⋱⫍12B6⪒⪎⋱⫍1C19)⪒(⪎⋱⫍2A00≭⪎⋱⫍1645)↬(⪎⋱⫍277B⨵⪆⪎⋱⫍39C5))⋝⋈⪟((⇁⨣⪵⪎⋱⫍866)*(⪎⋱⫍1B7B≋⫹))≹⇙⪍(⪎⋱⫍736⇷⪎⋱⫍132C⋓⪎⋱⫍2855⨓⪎⋱⫍8C2)","cot":[{"info":"⪎⋱⫍673⨪↰⇹⪎⋱⫍1325=⪎⋱⫍673","layer":3},{"info":"⪎⋱⫍12B6⪒⪎⋱⫍1C19=⪎⋱⫍-3202","layer":3},{"info":"⪎⋱⫍673⨐⩸⫘⪎⋱⫍-3202=NaN","layer":2},{"info":"⪎⋱⫍2A00≭⪎⋱⫍1645=NaN","layer":3},{"info":"⪎⋱⫍277B⨵⪆⪎⋱⫍39C5=⪎⋱⫍C4","layer":3},{"info":"NaN↬⪎⋱⫍C4=NaN","layer":2},{"info":"NaN⪒NaN=NaN","layer":1},{"info":"⇁⨣⪵⪎⋱⫍866=NaN","layer":3},{"info":"⪎⋱⫍1B7B≋⫹=⪎⋱⫍-3A29","layer":3},{"info":"NaN*⪎⋱⫍-3A29=NaN","layer":2},{"info":"⪎⋱⫍736⇷⪎⋱⫍132C=⪎⋱⫍265B","layer":3},{"info":"⪎⋱⫍2855⨓⪎⋱⫍8C2=⪎⋱⫍-8C5","layer":3},{"info":"⪎⋱⫍265B⋓⪎⋱⫍-8C5=⪎⋱⫍0","layer":2},{"info":"NaN≹⇙⪍⪎⋱⫍0=NaN","layer":1},{"info":"NaN⋝⋈⪟NaN=NaN","layer":0}]}
{"id":286,"expression_no_base_symbol":"((⨞⊢$2277$)∲⫓$2809$↬$1874$)⇼⇔∾($7102$⨰$1070$⊉≛↸$1001$∼$5041$)*($1438$⨟⋌⩍$4908$≎⊠⪸$2351$⪮%⊝$3835$)⪛(($2124$⩨$3140$)⇷($5258$⩠))","expression":"((⨞⊢⪎⋱⫍1062)∲⫓⪎⋱⫍1381↬⪎⋱⫍B12)⇼⇔∾(⪎⋱⫍3304⨰⪎⋱⫍644⊉≛↸⪎⋱⫍5C0∼⪎⋱⫍23AA)*(⪎⋱⫍868⨟⋌⩍⪎⋱⫍2307≎⊠⪸⪎⋱⫍10BB⪮%⊝⪎⋱⫍1990)⪛((⪎⋱⫍C75⩨⪎⋱⫍1577)⇷(⪎⋱⫍2516⩠))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":133,"operation_count":15,"complexity_ratio":8.866666666666667,"tree":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":2277,"base":13}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2809,"base":13},"right_expr":{"type":"numeric_atoms","value":1874,"base":13}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":7102,"base":13},"right_expr":{"type":"numeric_atoms","value":1070,"base":13}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1001,"base":13},"right_expr":{"type":"numeric_atoms","value":5041,"base":13}}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1438,"base":13},"right_expr":{"type":"numeric_atoms","value":4908,"base":13}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2351,"base":13},"right_expr":{"type":"numeric_atoms","value":3835,"base":13}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2124,"base":13},"right_expr":{"type":"numeric_atoms","value":3140,"base":13}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":5258,"base":13}}}}},"used_operators":["9HNa5Wba9A","tifHPKVTfV","i8ToyICDmI","xUOZtlo3hN","B5M0gjZbta","DZ8iAZOCBD","eewbuw0ToL","DyGG3AbaNP","uFcxV4UQCh","bJkvcejdHO","rGHVDoGpnC","IWmyXbctLI","mp7IySMOzn","2DlMacCsIx","sJAwomhLZr"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","Tcnh7f0tEr","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2277","layer":4},{"info":"compute unary expreesion, input=2277, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-2451","layer":3},{"info":"number node, value=2809","layer":4},{"info":"number node, value=1874","layer":4},{"info":"compute binary expreesion, left_input=2809, right_input=1874, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-2451, 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=7102","layer":4},{"info":"number node, value=1070","layer":4},{"info":"compute binary expreesion, left_input=7102, right_input=1070, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=6042","layer":3},{"info":"number node, value=1001","layer":4},{"info":"number node, value=5041","layer":4},{"info":"compute binary expreesion, left_input=1001, right_input=5041, 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=6042, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=12084","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=12084, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":1},{"info":"number node, value=1438","layer":4},{"info":"number node, value=4908","layer":4},{"info":"compute binary expreesion, left_input=1438, right_input=4908, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=2351","layer":4},{"info":"number node, value=3835","layer":4},{"info":"compute binary expreesion, left_input=2351, right_input=3835, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=5018","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5018, 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=2124","layer":4},{"info":"number node, value=3140","layer":4},{"info":"compute binary expreesion, left_input=2124, right_input=3140, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":3},{"info":"number node, value=5258","layer":4},{"info":"compute unary expreesion, input=5258, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-3, right_input=0, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=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":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⨞⊢⪎⋱⫍1062)∲⫓⪎⋱⫍1381↬⪎⋱⫍B12)⇼⇔∾(⪎⋱⫍3304⨰⪎⋱⫍644⊉≛↸⪎⋱⫍5C0∼⪎⋱⫍23AA)*(⪎⋱⫍868⨟⋌⩍⪎⋱⫍2307≎⊠⪸⪎⋱⫍10BB⪮%⊝⪎⋱⫍1990)⪛((⪎⋱⫍C75⩨⪎⋱⫍1577)⇷(⪎⋱⫍2516⩠))=NaN","reverse_text":"NaN=((⨞⊢⪎⋱⫍1062)∲⫓⪎⋱⫍1381↬⪎⋱⫍B12)⇼⇔∾(⪎⋱⫍3304⨰⪎⋱⫍644⊉≛↸⪎⋱⫍5C0∼⪎⋱⫍23AA)*(⪎⋱⫍868⨟⋌⩍⪎⋱⫍2307≎⊠⪸⪎⋱⫍10BB⪮%⊝⪎⋱⫍1990)⪛((⪎⋱⫍C75⩨⪎⋱⫍1577)⇷(⪎⋱⫍2516⩠))","cot":[{"info":"⨞⊢⪎⋱⫍1062=⪎⋱⫍-1167","layer":3},{"info":"⪎⋱⫍1381↬⪎⋱⫍B12=NaN","layer":3},{"info":"⪎⋱⫍-1167∲⫓NaN=NaN","layer":2},{"info":"⪎⋱⫍3304⨰⪎⋱⫍644=⪎⋱⫍299A","layer":3},{"info":"⪎⋱⫍5C0∼⪎⋱⫍23AA=NaN","layer":3},{"info":"⪎⋱⫍299A⊉≛↸NaN=⪎⋱⫍5667","layer":2},{"info":"NaN⇼⇔∾⪎⋱⫍5667=NaN","layer":1},{"info":"⪎⋱⫍868⨟⋌⩍⪎⋱⫍2307=NaN","layer":3},{"info":"⪎⋱⫍10BB⪮%⊝⪎⋱⫍1990=⪎⋱⫍2390","layer":3},{"info":"NaN≎⊠⪸⪎⋱⫍2390=NaN","layer":2},{"info":"⪎⋱⫍C75⩨⪎⋱⫍1577=⪎⋱⫍-3","layer":3},{"info":"⪎⋱⫍2516⩠=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍-3⇷⪎⋱⫍0=⪎⋱⫍0","layer":2},{"info":"NaN⪛⪎⋱⫍0=NaN","layer":1},{"info":"NaN*NaN=NaN","layer":0}]}
{"id":287,"expression_no_base_symbol":"(⫛⫱⨽(↣≠⋷(⊄⩳↩$5778$)))⫡⨏($3227$≎⊠⪸$2408$⇼⇔∾$7811$≧⫂∧$4373$)↙($5307$⨽$1293$)⨎($4840$-$1040$)","expression":"(⫛⫱⨽(↣≠⋷(⊄⩳↩⪎⋱⫍2826)))⫡⨏(⪎⋱⫍1613≎⊠⪸⪎⋱⫍1133⇼⇔∾⪎⋱⫍372B≧⫂∧⪎⋱⫍1CB5)↙(⪎⋱⫍2553⨽⪎⋱⫍786)⨎(⪎⋱⫍2284-⪎⋱⫍620)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":6517,"operation_count":11,"complexity_ratio":592.4545454545455,"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":5778,"base":13}}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":3227,"base":13},"right_expr":{"type":"numeric_atoms","value":2408,"base":13}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":7811,"base":13},"right_expr":{"type":"numeric_atoms","value":4373,"base":13}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":5307,"base":13},"right_expr":{"type":"numeric_atoms","value":1293,"base":13}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":4840,"base":13},"right_expr":{"type":"numeric_atoms","value":1040,"base":13}}}}},"used_operators":["QMFrweE19q","DlLNRPXxWL","Asc51vEJeQ","8w2t5hMYqp","yyfyN0ffXY","tifHPKVTfV","bJkvcejdHO","Ph9nP6C5qx","rJVOvQCfKK","8HhzD0ZcuI","rysDP5nf3Z"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5778","layer":4},{"info":"compute unary expreesion, input=5778, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-17334","layer":3},{"info":"compute unary expreesion, input=-17334, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=nan","layer":1},{"info":"number node, value=3227","layer":4},{"info":"number node, value=2408","layer":4},{"info":"compute binary expreesion, left_input=3227, right_input=2408, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=835320","layer":3},{"info":"number node, value=7811","layer":4},{"info":"number node, value=4373","layer":4},{"info":"compute binary expreesion, left_input=7811, right_input=4373, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=3900","layer":3},{"info":"compute binary expreesion, left_input=835320, right_input=3900, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-831420","layer":2},{"info":"number node, value=5307","layer":4},{"info":"number node, value=1293","layer":4},{"info":"compute binary expreesion, left_input=5307, right_input=1293, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-84495312","layer":3},{"info":"number node, value=4840","layer":4},{"info":"number node, value=1040","layer":4},{"info":"compute binary expreesion, left_input=4840, right_input=1040, op_id = rysDP5nf3Z binary_op_definition= 'None', output=3800","layer":3},{"info":"compute binary expreesion, left_input=-84495312, right_input=3800, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3800","layer":2},{"info":"compute binary expreesion, left_input=-831420, right_input=3800, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-831420","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-831420, op_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":13,"result_base":13,"text":"(⫛⫱⨽(↣≠⋷(⊄⩳↩⪎⋱⫍2826)))⫡⨏(⪎⋱⫍1613≎⊠⪸⪎⋱⫍1133⇼⇔∾⪎⋱⫍372B≧⫂∧⪎⋱⫍1CB5)↙(⪎⋱⫍2553⨽⪎⋱⫍786)⨎(⪎⋱⫍2284-⪎⋱⫍620)=NaN","reverse_text":"NaN=(⫛⫱⨽(↣≠⋷(⊄⩳↩⪎⋱⫍2826)))⫡⨏(⪎⋱⫍1613≎⊠⪸⪎⋱⫍1133⇼⇔∾⪎⋱⫍372B≧⫂∧⪎⋱⫍1CB5)↙(⪎⋱⫍2553⨽⪎⋱⫍786)⨎(⪎⋱⫍2284-⪎⋱⫍620)","cot":[{"info":"⊄⩳↩⪎⋱⫍2826=⪎⋱⫍-7B75","layer":3},{"info":"↣≠⋷⪎⋱⫍-7B75=NaN","layer":2},{"info":"⫛⫱⨽NaN=NaN","layer":1},{"info":"⪎⋱⫍1613≎⊠⪸⪎⋱⫍1133=⪎⋱⫍233295","layer":3},{"info":"⪎⋱⫍372B≧⫂∧⪎⋱⫍1CB5=⪎⋱⫍1A10","layer":3},{"info":"⪎⋱⫍233295⇼⇔∾⪎⋱⫍1A10=⪎⋱⫍-231585","layer":2},{"info":"⪎⋱⫍2553⨽⪎⋱⫍786=⪎⋱⫍-14675535","layer":3},{"info":"⪎⋱⫍2284-⪎⋱⫍620=⪎⋱⫍1964","layer":3},{"info":"⪎⋱⫍-14675535⨎⪎⋱⫍1964=⪎⋱⫍1964","layer":2},{"info":"⪎⋱⫍-231585↙⪎⋱⫍1964=⪎⋱⫍-231585","layer":1},{"info":"NaN⫡⨏⪎⋱⫍-231585=NaN","layer":0}]}
{"id":288,"expression_no_base_symbol":"(($4329$⇼⇔∾$1050$)⨳⩥⨓($2957$-$1913$))⨟⋌⩍(⫛⫱⨽(⊄⩳↩$7840$))↺(↔($5361$∼$1203$))⨐⩸⫘(⊥$4461$)⨽($2366$-$2557$)","expression":"((⪎⋱⫍1C80⇼⇔∾⪎⋱⫍62A)⨳⩥⨓(⪎⋱⫍1466-⪎⋱⫍B42))⨟⋌⩍(⫛⫱⨽(⊄⩳↩⪎⋱⫍3751))↺(↔(⪎⋱⫍2595∼⪎⋱⫍717))⨐⩸⫘(⊥⪎⋱⫍2052)⨽(⪎⋱⫍1100-⪎⋱⫍1219)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1576,"operation_count":13,"complexity_ratio":121.23076923076923,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":4329,"base":13},"right_expr":{"type":"numeric_atoms","value":1050,"base":13}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2957,"base":13},"right_expr":{"type":"numeric_atoms","value":1913,"base":13}}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":7840,"base":13}}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":5361,"base":13},"right_expr":{"type":"numeric_atoms","value":1203,"base":13}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":4461,"base":13}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2366,"base":13},"right_expr":{"type":"numeric_atoms","value":2557,"base":13}}}}},"used_operators":["7j4O788W3g","rGHVDoGpnC","nCS4ZIUYfx","tifHPKVTfV","rysDP5nf3Z","DlLNRPXxWL","8w2t5hMYqp","fu6greOZ01","ruOEQAzv1W","DyGG3AbaNP","8HhzD0ZcuI","Q3PJZHRvZv"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","fu6greOZ01"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4329","layer":4},{"info":"number node, value=1050","layer":4},{"info":"compute binary expreesion, left_input=4329, right_input=1050, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-3279","layer":3},{"info":"number node, value=2957","layer":4},{"info":"number node, value=1913","layer":4},{"info":"compute binary expreesion, left_input=2957, right_input=1913, op_id = rysDP5nf3Z binary_op_definition= 'None', output=1044","layer":3},{"info":"compute binary expreesion, left_input=-3279, right_input=1044, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=4323","layer":2},{"info":"number node, value=7840","layer":4},{"info":"compute unary expreesion, input=7840, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-23520","layer":3},{"info":"compute unary expreesion, input=-23520, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=4323, 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=4323","layer":1},{"info":"number node, value=5361","layer":4},{"info":"number node, value=1203","layer":4},{"info":"compute binary expreesion, left_input=5361, right_input=1203, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":2},{"info":"number node, value=4461","layer":4},{"info":"compute unary expreesion, input=4461, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=2366","layer":4},{"info":"number node, value=2557","layer":4},{"info":"compute binary expreesion, left_input=2366, right_input=2557, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-191","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-191, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-134, 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=4323, 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":13,"result_base":13,"text":"((⪎⋱⫍1C80⇼⇔∾⪎⋱⫍62A)⨳⩥⨓(⪎⋱⫍1466-⪎⋱⫍B42))⨟⋌⩍(⫛⫱⨽(⊄⩳↩⪎⋱⫍3751))↺(↔(⪎⋱⫍2595∼⪎⋱⫍717))⨐⩸⫘(⊥⪎⋱⫍2052)⨽(⪎⋱⫍1100-⪎⋱⫍1219)=NaN","reverse_text":"NaN=((⪎⋱⫍1C80⇼⇔∾⪎⋱⫍62A)⨳⩥⨓(⪎⋱⫍1466-⪎⋱⫍B42))⨟⋌⩍(⫛⫱⨽(⊄⩳↩⪎⋱⫍3751))↺(↔(⪎⋱⫍2595∼⪎⋱⫍717))⨐⩸⫘(⊥⪎⋱⫍2052)⨽(⪎⋱⫍1100-⪎⋱⫍1219)","cot":[{"info":"⪎⋱⫍1C80⇼⇔∾⪎⋱⫍62A=⪎⋱⫍-1653","layer":3},{"info":"⪎⋱⫍1466-⪎⋱⫍B42=⪎⋱⫍624","layer":3},{"info":"⪎⋱⫍-1653⨳⩥⨓⪎⋱⫍624=⪎⋱⫍1C77","layer":2},{"info":"⊄⩳↩⪎⋱⫍3751=⪎⋱⫍-A923","layer":3},{"info":"⫛⫱⨽⪎⋱⫍-A923=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍1C77⨟⋌⩍⪎⋱⫍0=⪎⋱⫍1C77","layer":1},{"info":"⪎⋱⫍2595∼⪎⋱⫍717=NaN","layer":3},{"info":"↔NaN=⪎⋱⫍-A4","layer":2},{"info":"⊥⪎⋱⫍2052=NaN","layer":3},{"info":"⪎⋱⫍1100-⪎⋱⫍1219=⪎⋱⫍-119","layer":3},{"info":"NaN⨽⪎⋱⫍-119=NaN","layer":2},{"info":"⪎⋱⫍-A4⨐⩸⫘NaN=NaN","layer":1},{"info":"⪎⋱⫍1C77↺NaN=NaN","layer":0}]}
{"id":289,"expression_no_base_symbol":"⨰⫟⨤($5253$⪘⫢$1271$⋫)⨟⋌⩍(($1361$⋓$4038$)∀⇚≩($4323$⨸⪁$3821$))","expression":"⨰⫟⨤(⪎⋱⫍2511⪘⫢⪎⋱⫍76A⋫)⨟⋌⩍((⪎⋱⫍809⋓⪎⋱⫍1AB8)∀⇚≩(⪎⋱⫍1C77⨸⪁⪎⋱⫍197C))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":10444,"operation_count":7,"complexity_ratio":1492.0,"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":5253,"base":13},"right_expr":{"type":"numeric_atoms","value":1271,"base":13}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1361,"base":13},"right_expr":{"type":"numeric_atoms","value":4038,"base":13}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":4323,"base":13},"right_expr":{"type":"numeric_atoms","value":3821,"base":13}}}}},"used_operators":["Tw270M8GLb","rGHVDoGpnC","JL8yIekQnl","oacrs7FA3X","LRNGc0VcxI","T2fj7uvVaJ","g55IO6H4Gj"],"dependent_operators":["sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","Tcnh7f0tEr","tmPS8pqC7x","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","X99M06cbEe","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=5253","layer":4},{"info":"number node, value=1271","layer":4},{"info":"compute binary expreesion, left_input=5253, right_input=1271, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=10382","layer":3},{"info":"compute unary expreesion, input=10382, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=10382","layer":2},{"info":"number node, value=1361","layer":4},{"info":"number node, value=4038","layer":4},{"info":"compute binary expreesion, left_input=1361, right_input=4038, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"number node, value=4323","layer":4},{"info":"number node, value=3821","layer":4},{"info":"compute binary expreesion, left_input=4323, right_input=3821, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=16288","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=16288, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=16288","layer":2},{"info":"compute binary expreesion, left_input=10382, right_input=16288, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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 = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⨰⫟⨤(⪎⋱⫍2511⪘⫢⪎⋱⫍76A⋫)⨟⋌⩍((⪎⋱⫍809⋓⪎⋱⫍1AB8)∀⇚≩(⪎⋱⫍1C77⨸⪁⪎⋱⫍197C))=NaN","reverse_text":"NaN=⨰⫟⨤(⪎⋱⫍2511⪘⫢⪎⋱⫍76A⋫)⨟⋌⩍((⪎⋱⫍809⋓⪎⋱⫍1AB8)∀⇚≩(⪎⋱⫍1C77⨸⪁⪎⋱⫍197C))","cot":[{"info":"⪎⋱⫍2511⪘⫢⪎⋱⫍76A=⪎⋱⫍4958","layer":3},{"info":"⪎⋱⫍4958⋫=⪎⋱⫍4958","layer":2},{"info":"⪎⋱⫍809⋓⪎⋱⫍1AB8=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍1C77⨸⪁⪎⋱⫍197C=⪎⋱⫍754C","layer":3},{"info":"⪎⋱⫍0∀⇚≩⪎⋱⫍754C=⪎⋱⫍754C","layer":2},{"info":"⪎⋱⫍4958⨟⋌⩍⪎⋱⫍754C=NaN","layer":1},{"info":"⨰⫟⨤NaN=NaN","layer":0}]}
{"id":290,"expression_no_base_symbol":"($1122$⊴$1341$⨰($1001$⪐)≋⫹)⊭↱((⨑⩽⪐$2276$)⨽(⪲⇎$1406$))⨟⋌⩍(($1269$⫡⨏$8335$)↙$5790$≎⊠⪸$3421$)","expression":"(⪎⋱⫍684⊴⪎⋱⫍7C2⨰(⪎⋱⫍5C0⪐)≋⫹)⊭↱((⨑⩽⪐⪎⋱⫍1061)⨽(⪲⇎⪎⋱⫍842))⨟⋌⩍((⪎⋱⫍768⫡⨏⪎⋱⫍3A42)↙⪎⋱⫍2835≎⊠⪸⪎⋱⫍1732)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3664,"operation_count":12,"complexity_ratio":305.3333333333333,"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":1122,"base":13},"right_expr":{"type":"numeric_atoms","value":1341,"base":13}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":1001,"base":13}}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":2276,"base":13}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1406,"base":13}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1269,"base":13},"right_expr":{"type":"numeric_atoms","value":8335,"base":13}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":5790,"base":13},"right_expr":{"type":"numeric_atoms","value":3421,"base":13}}}}},"used_operators":["COABgblf1C","N41Kp7NANJ","eewbuw0ToL","Nsiff2A1zJ","eH2TOUuTDT","rGHVDoGpnC","8HhzD0ZcuI","AF7qkfDlqP","XPYlsWDdGa","yyfyN0ffXY","QMFrweE19q","bJkvcejdHO"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1122","layer":4},{"info":"number node, value=1341","layer":4},{"info":"compute binary expreesion, left_input=1122, right_input=1341, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=1001","layer":4},{"info":"compute unary expreesion, input=1001, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=2002","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2002, 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 = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=nan","layer":1},{"info":"number node, value=2276","layer":4},{"info":"compute unary expreesion, input=2276, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-2003","layer":3},{"info":"number node, value=1406","layer":4},{"info":"compute unary expreesion, input=1406, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=2812","layer":3},{"info":"compute binary expreesion, left_input=-2003, right_input=2812, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-12043149","layer":2},{"info":"number node, value=1269","layer":4},{"info":"number node, value=8335","layer":4},{"info":"compute binary expreesion, left_input=1269, right_input=8335, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=23798","layer":3},{"info":"number node, value=5790","layer":4},{"info":"number node, value=3421","layer":4},{"info":"compute binary expreesion, left_input=5790, right_input=3421, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1499137","layer":3},{"info":"compute binary expreesion, left_input=23798, right_input=1499137, 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=-12043149, right_input=nan, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍684⊴⪎⋱⫍7C2⨰(⪎⋱⫍5C0⪐)≋⫹)⊭↱((⨑⩽⪐⪎⋱⫍1061)⨽(⪲⇎⪎⋱⫍842))⨟⋌⩍((⪎⋱⫍768⫡⨏⪎⋱⫍3A42)↙⪎⋱⫍2835≎⊠⪸⪎⋱⫍1732)=NaN","reverse_text":"NaN=(⪎⋱⫍684⊴⪎⋱⫍7C2⨰(⪎⋱⫍5C0⪐)≋⫹)⊭↱((⨑⩽⪐⪎⋱⫍1061)⨽(⪲⇎⪎⋱⫍842))⨟⋌⩍((⪎⋱⫍768⫡⨏⪎⋱⫍3A42)↙⪎⋱⫍2835≎⊠⪸⪎⋱⫍1732)","cot":[{"info":"⪎⋱⫍684⊴⪎⋱⫍7C2=NaN","layer":3},{"info":"⪎⋱⫍5C0⪐=⪎⋱⫍BB0","layer":3},{"info":"NaN⨰⪎⋱⫍BB0=NaN","layer":2},{"info":"NaN≋⫹=NaN","layer":1},{"info":"⨑⩽⪐⪎⋱⫍1061=⪎⋱⫍-BB1","layer":3},{"info":"⪲⇎⪎⋱⫍842=⪎⋱⫍1384","layer":3},{"info":"⪎⋱⫍-BB1⨽⪎⋱⫍1384=⪎⋱⫍-2658831","layer":2},{"info":"⪎⋱⫍768⫡⨏⪎⋱⫍3A42=⪎⋱⫍AAA8","layer":3},{"info":"⪎⋱⫍2835≎⊠⪸⪎⋱⫍1732=⪎⋱⫍406483","layer":3},{"info":"⪎⋱⫍AAA8↙⪎⋱⫍406483=NaN","layer":2},{"info":"⪎⋱⫍-2658831⨟⋌⩍NaN=NaN","layer":1},{"info":"NaN⊭↱NaN=NaN","layer":0}]}
{"id":291,"expression_no_base_symbol":"(($4266$%$1542$)+⇶⊼$2165$∑⇟⊟$3859$⩚⊴⇥($1900$⨐⩸⫘$1120$⨸⪁($2891$⊠≄⫣)))↬(⊄⩳↩$1000$⪛$1676$)≹⇙⪍(($5705$⨵⪆$1272$)⪒$1554$⪢$6075$)","expression":"((⪎⋱⫍1C32%⪎⋱⫍918)+⇶⊼⪎⋱⫍CA7∑⇟⊟⪎⋱⫍19AB⩚⊴⇥(⪎⋱⫍B32⨐⩸⫘⪎⋱⫍682⨸⪁(⪎⋱⫍1415⊠≄⫣)))↬(⊄⩳↩⪎⋱⫍5BC⪛⪎⋱⫍9BC)≹⇙⪍((⪎⋱⫍279B⨵⪆⪎⋱⫍76B)⪒⪎⋱⫍927⪢⪎⋱⫍29C4)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":6102,"operation_count":14,"complexity_ratio":435.85714285714283,"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":4266,"base":13},"right_expr":{"type":"numeric_atoms","value":1542,"base":13}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":2165,"base":13},"right_expr":{"type":"numeric_atoms","value":3859,"base":13}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1900,"base":13},"right_expr":{"type":"numeric_atoms","value":1120,"base":13}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":2891,"base":13}}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1000,"base":13},"right_expr":{"type":"numeric_atoms","value":1676,"base":13}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":5705,"base":13},"right_expr":{"type":"numeric_atoms","value":1272,"base":13}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1554,"base":13},"right_expr":{"type":"numeric_atoms","value":6075,"base":13}}}}},"used_operators":["B5M0gjZbta","NTOWxs364D","TpPTUOHfaN","k8jYdgA6NY","U7g4x0WXJJ","g55IO6H4Gj","fu6greOZ01","DIvbN7qnHd","AHs5Up7iyr","8w2t5hMYqp","uFcxV4UQCh","f6k1SAg4EE","2DQ55sFlQl","dWAJyo7jo9"],"dependent_operators":["rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","AHs5Up7iyr","rysDP5nf3Z","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4266","layer":4},{"info":"number node, value=1542","layer":4},{"info":"compute binary expreesion, left_input=4266, right_input=1542, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1182","layer":3},{"info":"number node, value=2165","layer":4},{"info":"number node, value=3859","layer":4},{"info":"compute binary expreesion, left_input=2165, right_input=3859, 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=1182, 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=1900","layer":4},{"info":"number node, value=1120","layer":4},{"info":"compute binary expreesion, left_input=1900, right_input=1120, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=2891","layer":4},{"info":"compute unary expreesion, input=2891, 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 = 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=1000","layer":4},{"info":"number node, value=1676","layer":4},{"info":"compute binary expreesion, left_input=1000, right_input=1676, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1000","layer":3},{"info":"compute unary expreesion, input=1000, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-3000","layer":2},{"info":"number node, value=5705","layer":4},{"info":"number node, value=1272","layer":4},{"info":"compute binary expreesion, left_input=5705, right_input=1272, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=1554","layer":4},{"info":"number node, value=6075","layer":4},{"info":"compute binary expreesion, left_input=1554, right_input=6075, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=160, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-3000, 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":13,"result_base":13,"text":"((⪎⋱⫍1C32%⪎⋱⫍918)+⇶⊼⪎⋱⫍CA7∑⇟⊟⪎⋱⫍19AB⩚⊴⇥(⪎⋱⫍B32⨐⩸⫘⪎⋱⫍682⨸⪁(⪎⋱⫍1415⊠≄⫣)))↬(⊄⩳↩⪎⋱⫍5BC⪛⪎⋱⫍9BC)≹⇙⪍((⪎⋱⫍279B⨵⪆⪎⋱⫍76B)⪒⪎⋱⫍927⪢⪎⋱⫍29C4)=NaN","reverse_text":"NaN=((⪎⋱⫍1C32%⪎⋱⫍918)+⇶⊼⪎⋱⫍CA7∑⇟⊟⪎⋱⫍19AB⩚⊴⇥(⪎⋱⫍B32⨐⩸⫘⪎⋱⫍682⨸⪁(⪎⋱⫍1415⊠≄⫣)))↬(⊄⩳↩⪎⋱⫍5BC⪛⪎⋱⫍9BC)≹⇙⪍((⪎⋱⫍279B⨵⪆⪎⋱⫍76B)⪒⪎⋱⫍927⪢⪎⋱⫍29C4)","cot":[{"info":"⪎⋱⫍1C32%⪎⋱⫍918=⪎⋱⫍6CC","layer":3},{"info":"⪎⋱⫍CA7∑⇟⊟⪎⋱⫍19AB=NaN","layer":3},{"info":"⪎⋱⫍6CC+⇶⊼NaN=NaN","layer":2},{"info":"⪎⋱⫍B32⨐⩸⫘⪎⋱⫍682=NaN","layer":3},{"info":"⪎⋱⫍1415⊠≄⫣=⪎⋱⫍0","layer":3},{"info":"NaN⨸⪁⪎⋱⫍0=NaN","layer":2},{"info":"NaN⩚⊴⇥NaN=NaN","layer":1},{"info":"⪎⋱⫍5BC⪛⪎⋱⫍9BC=⪎⋱⫍5BC","layer":3},{"info":"⊄⩳↩⪎⋱⫍5BC=⪎⋱⫍-149A","layer":2},{"info":"⪎⋱⫍279B⨵⪆⪎⋱⫍76B=⪎⋱⫍C4","layer":3},{"info":"⪎⋱⫍927⪢⪎⋱⫍29C4=NaN","layer":3},{"info":"⪎⋱⫍C4⪒NaN=NaN","layer":2},{"info":"⪎⋱⫍-149A≹⇙⪍NaN=NaN","layer":1},{"info":"NaN↬NaN=NaN","layer":0}]}
{"id":292,"expression_no_base_symbol":"(⫛⫱⨽($2077$⨟⋌⩍$2608$))⨪↰⇹(($2418$⩨$6760$)∑⇟⊟($6179$⪄$5313$))⋷((($2199$⪒$1040$)⩚⊴⇥($6891$⪨≂$4574$))⊪)","expression":"(⫛⫱⨽(⪎⋱⫍C3A⨟⋌⩍⪎⋱⫍1258))⨪↰⇹((⪎⋱⫍1140⩨⪎⋱⫍3100)∑⇟⊟(⪎⋱⫍2A74⪄⪎⋱⫍2559))⋷(((⪎⋱⫍1002⪒⪎⋱⫍620)⩚⊴⇥(⪎⋱⫍31A1⪨≂⪎⋱⫍210B))⊪)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":5899,"operation_count":11,"complexity_ratio":536.2727272727273,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2077,"base":13},"right_expr":{"type":"numeric_atoms","value":2608,"base":13}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2418,"base":13},"right_expr":{"type":"numeric_atoms","value":6760,"base":13}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":6179,"base":13},"right_expr":{"type":"numeric_atoms","value":5313,"base":13}}}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2199,"base":13},"right_expr":{"type":"numeric_atoms","value":1040,"base":13}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":6891,"base":13},"right_expr":{"type":"numeric_atoms","value":4574,"base":13}}}}},"used_operators":["23Mk6UjR3U","tmPS8pqC7x","DlLNRPXxWL","rGHVDoGpnC","U7g4x0WXJJ","2DlMacCsIx","SUmda5xLS4","zVYPLywUTj","NTOWxs364D","f6k1SAg4EE","sdazOOVcIp"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","rGHVDoGpnC","Tcnh7f0tEr","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2077","layer":4},{"info":"number node, value=2608","layer":4},{"info":"compute binary expreesion, left_input=2077, right_input=2608, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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 = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=nan","layer":2},{"info":"number node, value=2418","layer":4},{"info":"number node, value=6760","layer":4},{"info":"compute binary expreesion, left_input=2418, right_input=6760, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-6","layer":3},{"info":"number node, value=6179","layer":4},{"info":"number node, value=5313","layer":4},{"info":"compute binary expreesion, left_input=6179, right_input=5313, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-931833","layer":3},{"info":"compute binary expreesion, left_input=-6, right_input=-931833, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((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=2199","layer":4},{"info":"number node, value=1040","layer":4},{"info":"compute binary expreesion, left_input=2199, right_input=1040, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-3239","layer":3},{"info":"number node, value=6891","layer":4},{"info":"number node, value=4574","layer":4},{"info":"compute binary expreesion, left_input=6891, right_input=4574, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=4736","layer":3},{"info":"compute binary expreesion, left_input=-3239, right_input=4736, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-1618","layer":2},{"info":"compute unary expreesion, input=-1618, 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=26367350","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=26367350, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⫛⫱⨽(⪎⋱⫍C3A⨟⋌⩍⪎⋱⫍1258))⨪↰⇹((⪎⋱⫍1140⩨⪎⋱⫍3100)∑⇟⊟(⪎⋱⫍2A74⪄⪎⋱⫍2559))⋷(((⪎⋱⫍1002⪒⪎⋱⫍620)⩚⊴⇥(⪎⋱⫍31A1⪨≂⪎⋱⫍210B))⊪)=NaN","reverse_text":"NaN=(⫛⫱⨽(⪎⋱⫍C3A⨟⋌⩍⪎⋱⫍1258))⨪↰⇹((⪎⋱⫍1140⩨⪎⋱⫍3100)∑⇟⊟(⪎⋱⫍2A74⪄⪎⋱⫍2559))⋷(((⪎⋱⫍1002⪒⪎⋱⫍620)⩚⊴⇥(⪎⋱⫍31A1⪨≂⪎⋱⫍210B))⊪)","cot":[{"info":"⪎⋱⫍C3A⨟⋌⩍⪎⋱⫍1258=NaN","layer":3},{"info":"⫛⫱⨽NaN=NaN","layer":2},{"info":"⪎⋱⫍1140⩨⪎⋱⫍3100=⪎⋱⫍-6","layer":3},{"info":"⪎⋱⫍2A74⪄⪎⋱⫍2559=⪎⋱⫍-2681A6","layer":3},{"info":"⪎⋱⫍-6∑⇟⊟⪎⋱⫍-2681A6=NaN","layer":2},{"info":"NaN⨪↰⇹NaN=NaN","layer":1},{"info":"⪎⋱⫍1002⪒⪎⋱⫍620=⪎⋱⫍-1622","layer":3},{"info":"⪎⋱⫍31A1⪨≂⪎⋱⫍210B=⪎⋱⫍2204","layer":3},{"info":"⪎⋱⫍-1622⩚⊴⇥⪎⋱⫍2204=⪎⋱⫍-976","layer":2},{"info":"⪎⋱⫍-976⊪=⪎⋱⫍56026A9","layer":1},{"info":"NaN⋷⪎⋱⫍56026A9=NaN","layer":0}]}
{"id":293,"expression_no_base_symbol":"⊥((↽≂(⫛⫱⨽$2276$))≋⫹)","expression":"⊥((↽≂(⫛⫱⨽⪎⋱⫍1061))≋⫹)","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":1429,"operation_count":4,"complexity_ratio":357.25,"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":2276,"base":13}}}}},"used_operators":["Q3PJZHRvZv","N41Kp7NANJ","u6S6b8DprG","DlLNRPXxWL"],"dependent_operators":["fu6greOZ01","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2276","layer":4},{"info":"compute unary expreesion, input=2276, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=0","layer":0}],"base":13,"result_base":13,"text":"⊥((↽≂(⫛⫱⨽⪎⋱⫍1061))≋⫹)=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=⊥((↽≂(⫛⫱⨽⪎⋱⫍1061))≋⫹)","cot":[{"info":"⫛⫱⨽⪎⋱⫍1061=⪎⋱⫍0","layer":3},{"info":"↽≂⪎⋱⫍0=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍0≋⫹=⪎⋱⫍0","layer":1},{"info":"⊥⪎⋱⫍0=⪎⋱⫍0","layer":0}]}
{"id":294,"expression_no_base_symbol":"(($1374$⫡⨏$3454$)↙(⫛⫱⨽$1446$))⩷∴(($3886$∲⫓$2027$)⫸⊐$5389$⋥≓≎$2556$)⋥≓≎((↣≠⋷($2933$⨰$4538$))⪨≂(⊄⩳↩($4110$⋳⪒$4275$)))","expression":"((⪎⋱⫍819⫡⨏⪎⋱⫍1759)↙(⫛⫱⨽⪎⋱⫍873))⩷∴((⪎⋱⫍19CC∲⫓⪎⋱⫍BCC)⫸⊐⪎⋱⫍25B7⋥≓≎⪎⋱⫍1218)⋥≓≎((↣≠⋷(⪎⋱⫍1448⨰⪎⋱⫍20B1))⪨≂(⊄⩳↩(⪎⋱⫍1B42⋳⪒⪎⋱⫍1C3B)))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1477,"operation_count":13,"complexity_ratio":113.61538461538461,"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":1374,"base":13},"right_expr":{"type":"numeric_atoms","value":3454,"base":13}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":1446,"base":13}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":3886,"base":13},"right_expr":{"type":"numeric_atoms","value":2027,"base":13}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":5389,"base":13},"right_expr":{"type":"numeric_atoms","value":2556,"base":13}}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2933,"base":13},"right_expr":{"type":"numeric_atoms","value":4538,"base":13}}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":4110,"base":13},"right_expr":{"type":"numeric_atoms","value":4275,"base":13}}}}},"used_operators":["Qy55tPpLXF","9FxExcQeMw","yyfyN0ffXY","QMFrweE19q","DlLNRPXxWL","mqXw5SEYmG","i8ToyICDmI","sdazOOVcIp","Asc51vEJeQ","eewbuw0ToL","8w2t5hMYqp","12rbrZMWeM"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1374","layer":4},{"info":"number node, value=3454","layer":4},{"info":"compute binary expreesion, left_input=1374, right_input=3454, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=14561","layer":3},{"info":"number node, value=1446","layer":4},{"info":"compute unary expreesion, input=1446, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=14561, right_input=0, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=0","layer":2},{"info":"number node, value=3886","layer":4},{"info":"number node, value=2027","layer":4},{"info":"compute binary expreesion, left_input=3886, right_input=2027, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=5389","layer":4},{"info":"number node, value=2556","layer":4},{"info":"compute binary expreesion, left_input=5389, right_input=2556, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-244","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-244, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-32","layer":1},{"info":"number node, value=2933","layer":4},{"info":"number node, value=4538","layer":4},{"info":"compute binary expreesion, left_input=2933, right_input=4538, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-1595","layer":3},{"info":"compute unary expreesion, input=-1595, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"number node, value=4110","layer":4},{"info":"number node, value=4275","layer":4},{"info":"compute binary expreesion, left_input=4110, right_input=4275, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=3658","layer":3},{"info":"compute unary expreesion, input=3658, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-10974","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-10974, op_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=-32, 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":13,"result_base":13,"text":"((⪎⋱⫍819⫡⨏⪎⋱⫍1759)↙(⫛⫱⨽⪎⋱⫍873))⩷∴((⪎⋱⫍19CC∲⫓⪎⋱⫍BCC)⫸⊐⪎⋱⫍25B7⋥≓≎⪎⋱⫍1218)⋥≓≎((↣≠⋷(⪎⋱⫍1448⨰⪎⋱⫍20B1))⪨≂(⊄⩳↩(⪎⋱⫍1B42⋳⪒⪎⋱⫍1C3B)))=NaN","reverse_text":"NaN=((⪎⋱⫍819⫡⨏⪎⋱⫍1759)↙(⫛⫱⨽⪎⋱⫍873))⩷∴((⪎⋱⫍19CC∲⫓⪎⋱⫍BCC)⫸⊐⪎⋱⫍25B7⋥≓≎⪎⋱⫍1218)⋥≓≎((↣≠⋷(⪎⋱⫍1448⨰⪎⋱⫍20B1))⪨≂(⊄⩳↩(⪎⋱⫍1B42⋳⪒⪎⋱⫍1C3B)))","cot":[{"info":"⪎⋱⫍819⫡⨏⪎⋱⫍1759=⪎⋱⫍6821","layer":3},{"info":"⫛⫱⨽⪎⋱⫍873=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍6821↙⪎⋱⫍0=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍19CC∲⫓⪎⋱⫍BCC=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍25B7⋥≓≎⪎⋱⫍1218=⪎⋱⫍-15A","layer":3},{"info":"⪎⋱⫍0⫸⊐⪎⋱⫍-15A=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍0⩷∴⪎⋱⫍0=⪎⋱⫍-26","layer":1},{"info":"⪎⋱⫍1448⨰⪎⋱⫍20B1=⪎⋱⫍-959","layer":3},{"info":"↣≠⋷⪎⋱⫍-959=NaN","layer":2},{"info":"⪎⋱⫍1B42⋳⪒⪎⋱⫍1C3B=⪎⋱⫍1885","layer":3},{"info":"⊄⩳↩⪎⋱⫍1885=⪎⋱⫍-4CC2","layer":2},{"info":"NaN⪨≂⪎⋱⫍-4CC2=NaN","layer":1},{"info":"⪎⋱⫍-26⋥≓≎NaN=NaN","layer":0}]}
{"id":295,"expression_no_base_symbol":"(((↥$1354$)⪄(⪲⇎$1093$))⨳⩥⨓($3429$⪛$6589$)≹⇙⪍(≤/$4497$))⪘⫢(($1296$⊭↱$1426$)⩷∴(⫛⫱⨽$5967$)+⇶⊼(($3427$⩤)⪨≂(-$4395$)))","expression":"(((↥⪎⋱⫍802)⪄(⪲⇎⪎⋱⫍661))⨳⩥⨓(⪎⋱⫍173A⪛⪎⋱⫍2CCB)≹⇙⪍(≤/⪎⋱⫍207C))⪘⫢((⪎⋱⫍789⊭↱⪎⋱⫍859)⩷∴(⫛⫱⨽⪎⋱⫍2940)+⇶⊼((⪎⋱⫍1738⩤)⪨≂(-⪎⋱⫍2001)))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":1539,"operation_count":15,"complexity_ratio":102.6,"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":1354,"base":13}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1093,"base":13}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":3429,"base":13},"right_expr":{"type":"numeric_atoms","value":6589,"base":13}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":4497,"base":13}}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1296,"base":13},"right_expr":{"type":"numeric_atoms","value":1426,"base":13}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":5967,"base":13}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":3427,"base":13}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":4395,"base":13}}}}},"used_operators":["oacrs7FA3X","nCS4ZIUYfx","SUmda5xLS4","A8NUZmVepG","XPYlsWDdGa","AHs5Up7iyr","uFcxV4UQCh","eLAdDNolq6","TpPTUOHfaN","9FxExcQeMw","COABgblf1C","DlLNRPXxWL","sdazOOVcIp","Z2TMIBDE3Q","t8gj7n24qd"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","rysDP5nf3Z","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1354","layer":4},{"info":"compute unary expreesion, input=1354, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=28","layer":3},{"info":"number node, value=1093","layer":4},{"info":"compute unary expreesion, input=1093, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=2186","layer":3},{"info":"compute binary expreesion, left_input=28, right_input=2186, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-8977","layer":2},{"info":"number node, value=3429","layer":4},{"info":"number node, value=6589","layer":4},{"info":"compute binary expreesion, left_input=3429, right_input=6589, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=3429","layer":3},{"info":"number node, value=4497","layer":4},{"info":"compute unary expreesion, input=4497, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-4013","layer":3},{"info":"compute binary expreesion, left_input=3429, right_input=-4013, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=-8977, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":1},{"info":"number node, value=1296","layer":4},{"info":"number node, value=1426","layer":4},{"info":"compute binary expreesion, left_input=1296, right_input=1426, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=265","layer":3},{"info":"number node, value=5967","layer":4},{"info":"compute unary expreesion, input=5967, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=265, right_input=0, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=498","layer":2},{"info":"number node, value=3427","layer":4},{"info":"compute unary expreesion, input=3427, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-3427","layer":3},{"info":"number node, value=4395","layer":4},{"info":"compute unary expreesion, input=4395, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-4395","layer":3},{"info":"compute binary expreesion, left_input=-3427, right_input=-4395, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=2038","layer":2},{"info":"compute binary expreesion, left_input=498, right_input=2038, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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 = 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":13,"result_base":13,"text":"(((↥⪎⋱⫍802)⪄(⪲⇎⪎⋱⫍661))⨳⩥⨓(⪎⋱⫍173A⪛⪎⋱⫍2CCB)≹⇙⪍(≤/⪎⋱⫍207C))⪘⫢((⪎⋱⫍789⊭↱⪎⋱⫍859)⩷∴(⫛⫱⨽⪎⋱⫍2940)+⇶⊼((⪎⋱⫍1738⩤)⪨≂(-⪎⋱⫍2001)))=NaN","reverse_text":"NaN=(((↥⪎⋱⫍802)⪄(⪲⇎⪎⋱⫍661))⨳⩥⨓(⪎⋱⫍173A⪛⪎⋱⫍2CCB)≹⇙⪍(≤/⪎⋱⫍207C))⪘⫢((⪎⋱⫍789⊭↱⪎⋱⫍859)⩷∴(⫛⫱⨽⪎⋱⫍2940)+⇶⊼((⪎⋱⫍1738⩤)⪨≂(-⪎⋱⫍2001)))","cot":[{"info":"↥⪎⋱⫍802=⪎⋱⫍22","layer":3},{"info":"⪲⇎⪎⋱⫍661=⪎⋱⫍CC2","layer":3},{"info":"⪎⋱⫍22⪄⪎⋱⫍CC2=⪎⋱⫍-4117","layer":2},{"info":"⪎⋱⫍173A⪛⪎⋱⫍2CCB=⪎⋱⫍173A","layer":3},{"info":"≤/⪎⋱⫍207C=⪎⋱⫍-1A99","layer":3},{"info":"⪎⋱⫍173A≹⇙⪍⪎⋱⫍-1A99=NaN","layer":2},{"info":"⪎⋱⫍-4117⨳⩥⨓NaN=NaN","layer":1},{"info":"⪎⋱⫍789⊭↱⪎⋱⫍859=⪎⋱⫍175","layer":3},{"info":"⫛⫱⨽⪎⋱⫍2940=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍175⩷∴⪎⋱⫍0=⪎⋱⫍2C4","layer":2},{"info":"⪎⋱⫍1738⩤=⪎⋱⫍-1738","layer":3},{"info":"-⪎⋱⫍2001=⪎⋱⫍-2001","layer":3},{"info":"⪎⋱⫍-1738⪨≂⪎⋱⫍-2001=⪎⋱⫍C0A","layer":2},{"info":"⪎⋱⫍2C4+⇶⊼⪎⋱⫍C0A=NaN","layer":1},{"info":"NaN⪘⫢NaN=NaN","layer":0}]}
{"id":296,"expression_no_base_symbol":"($1387$⇼⇔∾$2205$)≭(≦∁$3560$)⨎(⊥($1987$⨓$4054$))⪒($9376$⩷∴$2493$⨵⪆(⪝⪂⫅$3259$))≎⊠⪸($4231$⊉≛↸$2039$)⩷∴$3758$∀⇚≩$1815$","expression":"(⪎⋱⫍829⇼⇔∾⪎⋱⫍1008)≭(≦∁⪎⋱⫍180B)⨎(⊥(⪎⋱⫍B9B⨓⪎⋱⫍1ACB))⪒(⪎⋱⫍4363⩷∴⪎⋱⫍119A⨵⪆(⪝⪂⫅⪎⋱⫍1639))≎⊠⪸(⪎⋱⫍1C06⊉≛↸⪎⋱⫍C0B)⩷∴⪎⋱⫍1931∀⇚≩⪎⋱⫍A98","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":30551,"operation_count":14,"complexity_ratio":2182.214285714286,"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":1387,"base":13},"right_expr":{"type":"numeric_atoms","value":2205,"base":13}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":3560,"base":13}}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1987,"base":13},"right_expr":{"type":"numeric_atoms","value":4054,"base":13}}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":9376,"base":13},"right_expr":{"type":"numeric_atoms","value":2493,"base":13}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":3259,"base":13}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":4231,"base":13},"right_expr":{"type":"numeric_atoms","value":2039,"base":13}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":3758,"base":13},"right_expr":{"type":"numeric_atoms","value":1815,"base":13}}}}},"used_operators":["f6k1SAg4EE","rJVOvQCfKK","rxpJgHHUmx","tifHPKVTfV","9ICcGScMcE","Q3PJZHRvZv","3ViojmjbAp","bJkvcejdHO","2DQ55sFlQl","9FxExcQeMw","XTarYq4gQB","DZ8iAZOCBD","LRNGc0VcxI"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","fu6greOZ01","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","9HNa5Wba9A","8w2t5hMYqp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1387","layer":4},{"info":"number node, value=2205","layer":4},{"info":"compute binary expreesion, left_input=1387, right_input=2205, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=818","layer":3},{"info":"number node, value=3560","layer":4},{"info":"compute unary expreesion, input=3560, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=3560","layer":3},{"info":"compute binary expreesion, left_input=818, right_input=3560, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=1987","layer":4},{"info":"number node, value=4054","layer":4},{"info":"compute binary expreesion, left_input=1987, right_input=4054, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-4057","layer":3},{"info":"compute unary expreesion, input=-4057, 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 = 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=9376","layer":4},{"info":"number node, value=2493","layer":4},{"info":"compute binary expreesion, left_input=9376, right_input=2493, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=13734","layer":3},{"info":"number node, value=3259","layer":4},{"info":"compute unary expreesion, input=3259, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-479073","layer":3},{"info":"compute binary expreesion, left_input=13734, right_input=-479073, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=4231","layer":4},{"info":"number node, value=2039","layer":4},{"info":"compute binary expreesion, left_input=4231, right_input=2039, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=8462","layer":3},{"info":"number node, value=3758","layer":4},{"info":"number node, value=1815","layer":4},{"info":"compute binary expreesion, left_input=3758, right_input=1815, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=8462, 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=160, right_input=nan, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍829⇼⇔∾⪎⋱⫍1008)≭(≦∁⪎⋱⫍180B)⨎(⊥(⪎⋱⫍B9B⨓⪎⋱⫍1ACB))⪒(⪎⋱⫍4363⩷∴⪎⋱⫍119A⨵⪆(⪝⪂⫅⪎⋱⫍1639))≎⊠⪸(⪎⋱⫍1C06⊉≛↸⪎⋱⫍C0B)⩷∴⪎⋱⫍1931∀⇚≩⪎⋱⫍A98=NaN","reverse_text":"NaN=(⪎⋱⫍829⇼⇔∾⪎⋱⫍1008)≭(≦∁⪎⋱⫍180B)⨎(⊥(⪎⋱⫍B9B⨓⪎⋱⫍1ACB))⪒(⪎⋱⫍4363⩷∴⪎⋱⫍119A⨵⪆(⪝⪂⫅⪎⋱⫍1639))≎⊠⪸(⪎⋱⫍1C06⊉≛↸⪎⋱⫍C0B)⩷∴⪎⋱⫍1931∀⇚≩⪎⋱⫍A98","cot":[{"info":"⪎⋱⫍829⇼⇔∾⪎⋱⫍1008=⪎⋱⫍4AC","layer":3},{"info":"≦∁⪎⋱⫍180B=⪎⋱⫍180B","layer":3},{"info":"⪎⋱⫍4AC≭⪎⋱⫍180B=NaN","layer":2},{"info":"⪎⋱⫍B9B⨓⪎⋱⫍1ACB=⪎⋱⫍-1B01","layer":3},{"info":"⊥⪎⋱⫍-1B01=NaN","layer":2},{"info":"NaN⨎NaN=NaN","layer":1},{"info":"⪎⋱⫍4363⩷∴⪎⋱⫍119A=⪎⋱⫍6336","layer":3},{"info":"⪝⪂⫅⪎⋱⫍1639=⪎⋱⫍-13A09A","layer":3},{"info":"⪎⋱⫍6336⨵⪆⪎⋱⫍-13A09A=⪎⋱⫍C4","layer":2},{"info":"⪎⋱⫍1C06⊉≛↸⪎⋱⫍C0B=⪎⋱⫍3B0C","layer":3},{"info":"⪎⋱⫍1931∀⇚≩⪎⋱⫍A98=NaN","layer":3},{"info":"⪎⋱⫍3B0C⩷∴NaN=NaN","layer":2},{"info":"⪎⋱⫍C4≎⊠⪸NaN=⪎⋱⫍52","layer":1},{"info":"NaN⪒⪎⋱⫍52=NaN","layer":0}]}
{"id":297,"expression_no_base_symbol":"(($6018$∑⇟⊟$1444$⨽($3476$⪐))⊭∹↮)⪮%⊝((⊄⩳↩$6709$)⊉≛↸(⨈⫕$5923$)⨸⪁(⊙↵-($3557$↙$2425$)))","expression":"((⪎⋱⫍297C∑⇟⊟⪎⋱⫍871⨽(⪎⋱⫍1775⪐))⊭∹↮)⪮%⊝((⊄⩳↩⪎⋱⫍3091)⊉≛↸(⨈⫕⪎⋱⫍2908)⨸⪁(⊙↵-(⪎⋱⫍1808↙⪎⋱⫍1147)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":10159,"operation_count":11,"complexity_ratio":923.5454545454545,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":6018,"base":13},"right_expr":{"type":"numeric_atoms","value":1444,"base":13}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":3476,"base":13}}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":6709,"base":13}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":5923,"base":13}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":3557,"base":13},"right_expr":{"type":"numeric_atoms","value":2425,"base":13}}}}},"used_operators":["IWmyXbctLI","xNBdhnnwKq","8HhzD0ZcuI","U7g4x0WXJJ","eH2TOUuTDT","g55IO6H4Gj","DZ8iAZOCBD","8w2t5hMYqp","megm06wKyl","oWn0xqSxBt","yyfyN0ffXY"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","tmPS8pqC7x","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=6018","layer":4},{"info":"number node, value=1444","layer":4},{"info":"compute binary expreesion, left_input=6018, right_input=1444, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=3476","layer":4},{"info":"compute unary expreesion, input=3476, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=6952","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=6952, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=nan","layer":1},{"info":"number node, value=6709","layer":4},{"info":"compute unary expreesion, input=6709, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-20127","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=-20127, right_input=-21, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=21","layer":2},{"info":"number node, value=3557","layer":4},{"info":"number node, value=2425","layer":4},{"info":"compute binary expreesion, left_input=3557, right_input=2425, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-7275","layer":3},{"info":"compute unary expreesion, input=-7275, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=196","layer":2},{"info":"compute binary expreesion, left_input=21, right_input=196, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=434","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=434, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍297C∑⇟⊟⪎⋱⫍871⨽(⪎⋱⫍1775⪐))⊭∹↮)⪮%⊝((⊄⩳↩⪎⋱⫍3091)⊉≛↸(⨈⫕⪎⋱⫍2908)⨸⪁(⊙↵-(⪎⋱⫍1808↙⪎⋱⫍1147)))=NaN","reverse_text":"NaN=((⪎⋱⫍297C∑⇟⊟⪎⋱⫍871⨽(⪎⋱⫍1775⪐))⊭∹↮)⪮%⊝((⊄⩳↩⪎⋱⫍3091)⊉≛↸(⨈⫕⪎⋱⫍2908)⨸⪁(⊙↵-(⪎⋱⫍1808↙⪎⋱⫍1147)))","cot":[{"info":"⪎⋱⫍297C∑⇟⊟⪎⋱⫍871=NaN","layer":3},{"info":"⪎⋱⫍1775⪐=⪎⋱⫍321A","layer":3},{"info":"NaN⨽⪎⋱⫍321A=NaN","layer":2},{"info":"NaN⊭∹↮=NaN","layer":1},{"info":"⊄⩳↩⪎⋱⫍3091=⪎⋱⫍-9213","layer":3},{"info":"⨈⫕⪎⋱⫍2908=⪎⋱⫍-18","layer":3},{"info":"⪎⋱⫍-9213⊉≛↸⪎⋱⫍-18=⪎⋱⫍18","layer":2},{"info":"⪎⋱⫍1808↙⪎⋱⫍1147=⪎⋱⫍-3408","layer":3},{"info":"⊙↵-⪎⋱⫍-3408=⪎⋱⫍121","layer":2},{"info":"⪎⋱⫍18⨸⪁⪎⋱⫍121=⪎⋱⫍275","layer":1},{"info":"NaN⪮%⊝⪎⋱⫍275=NaN","layer":0}]}
{"id":298,"expression_no_base_symbol":"⨞⊢(($8027$⨵⪆$2196$)⊘)⪘⫢($3647$⩷∴$6831$∲⫓($5692$⊠≄⫣))","expression":"⨞⊢((⪎⋱⫍3866⨵⪆⪎⋱⫍CCC)⊘)⪘⫢(⪎⋱⫍1877⩷∴⪎⋱⫍3156∲⫓(⪎⋱⫍278B⊠≄⫣))","highest_n_order":2,"priority_hierarchical_complexity":7,"normalized_expansion_degree":41,"operation_count":7,"complexity_ratio":5.857142857142857,"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":8027,"base":13},"right_expr":{"type":"numeric_atoms","value":2196,"base":13}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":3647,"base":13},"right_expr":{"type":"numeric_atoms","value":6831,"base":13}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":5692,"base":13}}}}},"used_operators":["xUOZtlo3hN","oacrs7FA3X","gu96TGCTMs","2DQ55sFlQl","i8ToyICDmI","9FxExcQeMw","DIvbN7qnHd"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍-104","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=8027","layer":4},{"info":"number node, value=2196","layer":4},{"info":"compute binary expreesion, left_input=8027, right_input=2196, 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=3647","layer":4},{"info":"number node, value=6831","layer":4},{"info":"compute binary expreesion, left_input=3647, right_input=6831, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-6400","layer":3},{"info":"number node, value=5692","layer":4},{"info":"compute unary expreesion, input=5692, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-6400, right_input=0, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=-6400","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-6400, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=-1","layer":1},{"info":"compute unary expreesion, input=-1, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-173","layer":0}],"base":13,"result_base":13,"text":"⨞⊢((⪎⋱⫍3866⨵⪆⪎⋱⫍CCC)⊘)⪘⫢(⪎⋱⫍1877⩷∴⪎⋱⫍3156∲⫓(⪎⋱⫍278B⊠≄⫣))=⪎⋱⫍-104","reverse_text":"⪎⋱⫍-104=⨞⊢((⪎⋱⫍3866⨵⪆⪎⋱⫍CCC)⊘)⪘⫢(⪎⋱⫍1877⩷∴⪎⋱⫍3156∲⫓(⪎⋱⫍278B⊠≄⫣))","cot":[{"info":"⪎⋱⫍3866⨵⪆⪎⋱⫍CCC=⪎⋱⫍C4","layer":3},{"info":"⪎⋱⫍C4⊘=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍1877⩷∴⪎⋱⫍3156=⪎⋱⫍-2BB4","layer":3},{"info":"⪎⋱⫍278B⊠≄⫣=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍-2BB4∲⫓⪎⋱⫍0=⪎⋱⫍-2BB4","layer":2},{"info":"⪎⋱⫍0⪘⫢⪎⋱⫍-2BB4=⪎⋱⫍-1","layer":1},{"info":"⨞⊢⪎⋱⫍-1=⪎⋱⫍-104","layer":0}]}
{"id":299,"expression_no_base_symbol":"(⪲⇎$1845$⇷$4091$)%($1899$≭$1147$⋷$1099$⩨$1003$)⫡⨏(↥($2862$↛⩡⫤))%(⨑⩽⪐($1191$/$2193$))","expression":"(⪲⇎⪎⋱⫍ABC⇷⪎⋱⫍1B29)%(⪎⋱⫍B31≭⪎⋱⫍6A3⋷⪎⋱⫍667⩨⪎⋱⫍5C2)⫡⨏(↥(⪎⋱⫍13C2↛⩡⫤))%(⨑⩽⪐(⪎⋱⫍708/⪎⋱⫍CC9))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":42979,"operation_count":12,"complexity_ratio":3581.5833333333335,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1845,"base":13},"right_expr":{"type":"numeric_atoms","value":4091,"base":13}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1899,"base":13},"right_expr":{"type":"numeric_atoms","value":1147,"base":13}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1099,"base":13},"right_expr":{"type":"numeric_atoms","value":1003,"base":13}}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":2862,"base":13}}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1191,"base":13},"right_expr":{"type":"numeric_atoms","value":2193,"base":13}}}}},"used_operators":["QMFrweE19q","k8jYdgA6NY","XPYlsWDdGa","mp7IySMOzn","23Mk6UjR3U","rxpJgHHUmx","2DlMacCsIx","A8NUZmVepG","FU0Cs4j7VP","AF7qkfDlqP","XhwjNDsVaA"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","k8jYdgA6NY","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1845","layer":4},{"info":"number node, value=4091","layer":4},{"info":"compute binary expreesion, left_input=1845, right_input=4091, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=8182","layer":3},{"info":"compute unary expreesion, input=8182, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=16364","layer":2},{"info":"number node, value=1899","layer":4},{"info":"number node, value=1147","layer":4},{"info":"compute binary expreesion, left_input=1899, right_input=1147, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=1099","layer":4},{"info":"number node, value=1003","layer":4},{"info":"compute binary expreesion, left_input=1099, right_input=1003, 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 = 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=16364, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=2862","layer":4},{"info":"compute unary expreesion, input=2862, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-428251","layer":3},{"info":"compute unary expreesion, input=-428251, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=47","layer":2},{"info":"number node, value=1191","layer":4},{"info":"number node, value=2193","layer":4},{"info":"compute binary expreesion, left_input=1191, right_input=2193, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=789","layer":2},{"info":"compute binary expreesion, left_input=47, right_input=789, op_id = k8jYdgA6NY binary_op_definition= 'None', output=47","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=47, op_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":13,"result_base":13,"text":"(⪲⇎⪎⋱⫍ABC⇷⪎⋱⫍1B29)%(⪎⋱⫍B31≭⪎⋱⫍6A3⋷⪎⋱⫍667⩨⪎⋱⫍5C2)⫡⨏(↥(⪎⋱⫍13C2↛⩡⫤))%(⨑⩽⪐(⪎⋱⫍708/⪎⋱⫍CC9))=NaN","reverse_text":"NaN=(⪲⇎⪎⋱⫍ABC⇷⪎⋱⫍1B29)%(⪎⋱⫍B31≭⪎⋱⫍6A3⋷⪎⋱⫍667⩨⪎⋱⫍5C2)⫡⨏(↥(⪎⋱⫍13C2↛⩡⫤))%(⨑⩽⪐(⪎⋱⫍708/⪎⋱⫍CC9))","cot":[{"info":"⪎⋱⫍ABC⇷⪎⋱⫍1B29=⪎⋱⫍3955","layer":3},{"info":"⪲⇎⪎⋱⫍3955=⪎⋱⫍75AA","layer":2},{"info":"⪎⋱⫍B31≭⪎⋱⫍6A3=NaN","layer":3},{"info":"⪎⋱⫍667⩨⪎⋱⫍5C2=⪎⋱⫍0","layer":3},{"info":"NaN⋷⪎⋱⫍0=NaN","layer":2},{"info":"⪎⋱⫍75AA%NaN=NaN","layer":1},{"info":"⪎⋱⫍13C2↛⩡⫤=⪎⋱⫍-11CC05","layer":3},{"info":"↥⪎⋱⫍-11CC05=⪎⋱⫍38","layer":2},{"info":"⪎⋱⫍708/⪎⋱⫍CC9=⪎⋱⫍0","layer":3},{"info":"⨑⩽⪐⪎⋱⫍0=⪎⋱⫍489","layer":2},{"info":"⪎⋱⫍38%⪎⋱⫍489=⪎⋱⫍38","layer":1},{"info":"NaN⫡⨏⪎⋱⫍38=NaN","layer":0}]}
{"id":300,"expression_no_base_symbol":"(↥($4435$⇋≉)⋝⋈⪟($5354$⇋≉))⊴((↣≠⋷($1156$⋥≓≎$2577$))⪢(∥⊫($3927$⇋≉)))","expression":"(↥(⪎⋱⫍2032⇋≉)⋝⋈⪟(⪎⋱⫍258B⇋≉))⊴((↣≠⋷(⪎⋱⫍6AC⋥≓≎⪎⋱⫍1233))⪢(∥⊫(⪎⋱⫍1A31⇋≉)))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":8826,"operation_count":10,"complexity_ratio":882.6,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":4435,"base":13}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":5354,"base":13}}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1156,"base":13},"right_expr":{"type":"numeric_atoms","value":2577,"base":13}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":3927,"base":13}}}}},"used_operators":["Nsiff2A1zJ","A8NUZmVepG","2DDjHMKMc0","XIabStNQrY","dWAJyo7jo9","Asc51vEJeQ","Qy55tPpLXF","P8v4zCKN1o"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","XhwjNDsVaA","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=4435","layer":4},{"info":"compute unary expreesion, input=4435, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=8772","layer":3},{"info":"number node, value=5354","layer":4},{"info":"compute unary expreesion, input=5354, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=10610","layer":3},{"info":"compute binary expreesion, left_input=8772, right_input=10610, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=8772","layer":2},{"info":"compute unary expreesion, input=8772, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=0","layer":1},{"info":"number node, value=1156","layer":4},{"info":"number node, value=2577","layer":4},{"info":"compute binary expreesion, left_input=1156, right_input=2577, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=4031","layer":3},{"info":"compute unary expreesion, input=4031, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"number node, value=3927","layer":4},{"info":"compute unary expreesion, input=3927, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=7756","layer":3},{"info":"compute unary expreesion, input=7756, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=8624","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=8624, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(↥(⪎⋱⫍2032⇋≉)⋝⋈⪟(⪎⋱⫍258B⇋≉))⊴((↣≠⋷(⪎⋱⫍6AC⋥≓≎⪎⋱⫍1233))⪢(∥⊫(⪎⋱⫍1A31⇋≉)))=NaN","reverse_text":"NaN=(↥(⪎⋱⫍2032⇋≉)⋝⋈⪟(⪎⋱⫍258B⇋≉))⊴((↣≠⋷(⪎⋱⫍6AC⋥≓≎⪎⋱⫍1233))⪢(∥⊫(⪎⋱⫍1A31⇋≉)))","cot":[{"info":"⪎⋱⫍2032⇋≉=⪎⋱⫍3CBA","layer":3},{"info":"⪎⋱⫍258B⇋≉=⪎⋱⫍4AA2","layer":3},{"info":"⪎⋱⫍3CBA⋝⋈⪟⪎⋱⫍4AA2=⪎⋱⫍3CBA","layer":2},{"info":"↥⪎⋱⫍3CBA=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍6AC⋥≓≎⪎⋱⫍1233=⪎⋱⫍1AB1","layer":3},{"info":"↣≠⋷⪎⋱⫍1AB1=NaN","layer":2},{"info":"⪎⋱⫍1A31⇋≉=⪎⋱⫍36B8","layer":3},{"info":"∥⊫⪎⋱⫍36B8=⪎⋱⫍3C05","layer":2},{"info":"NaN⪢⪎⋱⫍3C05=NaN","layer":1},{"info":"⪎⋱⫍0⊴NaN=NaN","layer":0}]}
{"id":301,"expression_no_base_symbol":"↩(↥(⇁⨣⪵($8370$⊦⊿)))","expression":"↩(↥(⇁⨣⪵(⪎⋱⫍3A6B⊦⊿)))","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":27,"operation_count":4,"complexity_ratio":6.75,"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":8370,"base":13}}}}},"used_operators":["jLgFTUHLKL","A8NUZmVepG","inkyxCbjAn","14qkJME0vr"],"dependent_operators":["sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","k8jYdgA6NY","B5M0gjZbta","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=8370","layer":4},{"info":"compute unary expreesion, input=8370, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-25189","layer":3},{"info":"compute unary expreesion, input=-25189, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"↩(↥(⇁⨣⪵(⪎⋱⫍3A6B⊦⊿)))=NaN","reverse_text":"NaN=↩(↥(⇁⨣⪵(⪎⋱⫍3A6B⊦⊿)))","cot":[{"info":"⪎⋱⫍3A6B⊦⊿=⪎⋱⫍-B608","layer":3},{"info":"⇁⨣⪵⪎⋱⫍-B608=NaN","layer":2},{"info":"↥NaN=NaN","layer":1},{"info":"↩NaN=NaN","layer":0}]}
{"id":302,"expression_no_base_symbol":"($1422$+$7346$)≧⫂∧($9792$≋⫹)⨽$3354$⪢$1488$≭($7493$⇼⇔∾$2334$)⪒(⊙↵-($1297$↬$9066$))↬(($1918$⫡⨏$1164$)↺$1264$⪮%⊝$1389$)","expression":"(⪎⋱⫍855+⪎⋱⫍3461)≧⫂∧(⪎⋱⫍45C3≋⫹)⨽⪎⋱⫍16B0⪢⪎⋱⫍8A6≭(⪎⋱⫍3545⇼⇔∾⪎⋱⫍10A7)⪒(⊙↵-(⪎⋱⫍78A↬⪎⋱⫍4185))↬((⪎⋱⫍B47⫡⨏⪎⋱⫍6B7)↺⪎⋱⫍763⪮%⊝⪎⋱⫍82B)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":30544,"operation_count":14,"complexity_ratio":2181.714285714286,"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":1422,"base":13},"right_expr":{"type":"numeric_atoms","value":7346,"base":13}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":9792,"base":13}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":3354,"base":13},"right_expr":{"type":"numeric_atoms","value":1488,"base":13}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":7493,"base":13},"right_expr":{"type":"numeric_atoms","value":2334,"base":13}}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1297,"base":13},"right_expr":{"type":"numeric_atoms","value":9066,"base":13}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1918,"base":13},"right_expr":{"type":"numeric_atoms","value":1164,"base":13}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1264,"base":13},"right_expr":{"type":"numeric_atoms","value":1389,"base":13}}}}},"used_operators":["f6k1SAg4EE","8HhzD0ZcuI","Ph9nP6C5qx","W4YGzv6Whe","N41Kp7NANJ","rxpJgHHUmx","dWAJyo7jo9","tifHPKVTfV","B5M0gjZbta","oWn0xqSxBt","7j4O788W3g","QMFrweE19q","IWmyXbctLI"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1422","layer":4},{"info":"number node, value=7346","layer":4},{"info":"compute binary expreesion, left_input=1422, right_input=7346, op_id = W4YGzv6Whe binary_op_definition= 'None', output=8768","layer":3},{"info":"number node, value=9792","layer":4},{"info":"compute unary expreesion, input=9792, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-19584","layer":3},{"info":"compute binary expreesion, left_input=8768, right_input=-19584, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=28352","layer":2},{"info":"number node, value=3354","layer":4},{"info":"number node, value=1488","layer":4},{"info":"compute binary expreesion, left_input=3354, right_input=1488, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=7493","layer":4},{"info":"number node, value=2334","layer":4},{"info":"compute binary expreesion, left_input=7493, right_input=2334, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-5159","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-5159, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=28352, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":1},{"info":"number node, value=1297","layer":4},{"info":"number node, value=9066","layer":4},{"info":"compute binary expreesion, left_input=1297, right_input=9066, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=nan","layer":2},{"info":"number node, value=1918","layer":4},{"info":"number node, value=1164","layer":4},{"info":"compute binary expreesion, left_input=1918, right_input=1164, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=12701","layer":3},{"info":"number node, value=1264","layer":4},{"info":"number node, value=1389","layer":4},{"info":"compute binary expreesion, left_input=1264, right_input=1389, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=2844","layer":3},{"info":"compute binary expreesion, left_input=12701, right_input=2844, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2844","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=2844, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍855+⪎⋱⫍3461)≧⫂∧(⪎⋱⫍45C3≋⫹)⨽⪎⋱⫍16B0⪢⪎⋱⫍8A6≭(⪎⋱⫍3545⇼⇔∾⪎⋱⫍10A7)⪒(⊙↵-(⪎⋱⫍78A↬⪎⋱⫍4185))↬((⪎⋱⫍B47⫡⨏⪎⋱⫍6B7)↺⪎⋱⫍763⪮%⊝⪎⋱⫍82B)=NaN","reverse_text":"NaN=(⪎⋱⫍855+⪎⋱⫍3461)≧⫂∧(⪎⋱⫍45C3≋⫹)⨽⪎⋱⫍16B0⪢⪎⋱⫍8A6≭(⪎⋱⫍3545⇼⇔∾⪎⋱⫍10A7)⪒(⊙↵-(⪎⋱⫍78A↬⪎⋱⫍4185))↬((⪎⋱⫍B47⫡⨏⪎⋱⫍6B7)↺⪎⋱⫍763⪮%⊝⪎⋱⫍82B)","cot":[{"info":"⪎⋱⫍855+⪎⋱⫍3461=⪎⋱⫍3CB6","layer":3},{"info":"⪎⋱⫍45C3≋⫹=⪎⋱⫍-8BB6","layer":3},{"info":"⪎⋱⫍3CB6≧⫂∧⪎⋱⫍-8BB6=⪎⋱⫍CB9C","layer":2},{"info":"⪎⋱⫍16B0⪢⪎⋱⫍8A6=NaN","layer":3},{"info":"⪎⋱⫍3545⇼⇔∾⪎⋱⫍10A7=⪎⋱⫍-246B","layer":3},{"info":"NaN≭⪎⋱⫍-246B=NaN","layer":2},{"info":"⪎⋱⫍CB9C⨽NaN=NaN","layer":1},{"info":"⪎⋱⫍78A↬⪎⋱⫍4185=NaN","layer":3},{"info":"⊙↵-NaN=NaN","layer":2},{"info":"⪎⋱⫍B47⫡⨏⪎⋱⫍6B7=⪎⋱⫍5A20","layer":3},{"info":"⪎⋱⫍763⪮%⊝⪎⋱⫍82B=⪎⋱⫍13AA","layer":3},{"info":"⪎⋱⫍5A20↺⪎⋱⫍13AA=⪎⋱⫍13AA","layer":2},{"info":"NaN↬⪎⋱⫍13AA=NaN","layer":1},{"info":"NaN⪒NaN=NaN","layer":0}]}
{"id":303,"expression_no_base_symbol":"(⇁⨣⪵($2983$⪮%⊝$2389$⨸⪁$2001$⨟⋌⩍$8853$))⫥∨⫟(⨵≀≌($1255$⪢$3831$)⪮%⊝($1310$⋥≓≎$2726$))","expression":"(⇁⨣⪵(⪎⋱⫍1486⪮%⊝⪎⋱⫍111A⨸⪁⪎⋱⫍BAC⨟⋌⩍⪎⋱⫍4050))⫥∨⫟(⨵≀≌(⪎⋱⫍757⪢⪎⋱⫍1989)⪮%⊝(⪎⋱⫍79A⋥≓≎⪎⋱⫍1319))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":4015,"operation_count":9,"complexity_ratio":446.1111111111111,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2983,"base":13},"right_expr":{"type":"numeric_atoms","value":2389,"base":13}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2001,"base":13},"right_expr":{"type":"numeric_atoms","value":8853,"base":13}}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1255,"base":13},"right_expr":{"type":"numeric_atoms","value":3831,"base":13}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1310,"base":13},"right_expr":{"type":"numeric_atoms","value":2726,"base":13}}}}},"used_operators":["KYD54nUTWz","inkyxCbjAn","g55IO6H4Gj","IWmyXbctLI","rGHVDoGpnC","srAu1WTS94","dWAJyo7jo9","Qy55tPpLXF"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","B5M0gjZbta","W4YGzv6Whe","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","Tcnh7f0tEr","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2983","layer":4},{"info":"number node, value=2389","layer":4},{"info":"compute binary expreesion, left_input=2983, right_input=2389, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=6282","layer":3},{"info":"number node, value=2001","layer":4},{"info":"number node, value=8853","layer":4},{"info":"compute binary expreesion, left_input=2001, right_input=8853, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=6282, 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 = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":1},{"info":"number node, value=1255","layer":4},{"info":"number node, value=3831","layer":4},{"info":"compute binary expreesion, left_input=1255, right_input=3831, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=1310","layer":4},{"info":"number node, value=2726","layer":4},{"info":"compute binary expreesion, left_input=1310, right_input=2726, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=4175","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4175, 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 binary expreesion, left_input=nan, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⇁⨣⪵(⪎⋱⫍1486⪮%⊝⪎⋱⫍111A⨸⪁⪎⋱⫍BAC⨟⋌⩍⪎⋱⫍4050))⫥∨⫟(⨵≀≌(⪎⋱⫍757⪢⪎⋱⫍1989)⪮%⊝(⪎⋱⫍79A⋥≓≎⪎⋱⫍1319))=NaN","reverse_text":"NaN=(⇁⨣⪵(⪎⋱⫍1486⪮%⊝⪎⋱⫍111A⨸⪁⪎⋱⫍BAC⨟⋌⩍⪎⋱⫍4050))⫥∨⫟(⨵≀≌(⪎⋱⫍757⪢⪎⋱⫍1989)⪮%⊝(⪎⋱⫍79A⋥≓≎⪎⋱⫍1319))","cot":[{"info":"⪎⋱⫍1486⪮%⊝⪎⋱⫍111A=⪎⋱⫍2B23","layer":3},{"info":"⪎⋱⫍BAC⨟⋌⩍⪎⋱⫍4050=NaN","layer":3},{"info":"⪎⋱⫍2B23⨸⪁NaN=NaN","layer":2},{"info":"⇁⨣⪵NaN=NaN","layer":1},{"info":"⪎⋱⫍757⪢⪎⋱⫍1989=NaN","layer":3},{"info":"⪎⋱⫍79A⋥≓≎⪎⋱⫍1319=⪎⋱⫍1B92","layer":3},{"info":"NaN⪮%⊝⪎⋱⫍1B92=NaN","layer":2},{"info":"⨵≀≌NaN=NaN","layer":1},{"info":"NaN⫥∨⫟NaN=NaN","layer":0}]}
{"id":304,"expression_no_base_symbol":"(⋗⩬⋾($7286$⨪↰⇹$3022$≫≃))⊠≄⫣","expression":"(⋗⩬⋾(⪎⋱⫍3416⨪↰⇹⪎⋱⫍14B6≫≃))⊠≄⫣","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":7299,"operation_count":4,"complexity_ratio":1824.75,"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":7286,"base":13},"right_expr":{"type":"numeric_atoms","value":3022,"base":13}}}}},"used_operators":["DIvbN7qnHd","DpFCA1CohY","X99M06cbEe","tmPS8pqC7x"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rJVOvQCfKK"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=7286","layer":4},{"info":"number node, value=3022","layer":4},{"info":"compute binary expreesion, left_input=7286, right_input=3022, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=7286","layer":3},{"info":"compute unary expreesion, input=7286, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=15973","layer":2},{"info":"compute unary expreesion, input=15973, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-47919","layer":1},{"info":"compute unary expreesion, input=-47919, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":0}],"base":13,"result_base":13,"text":"(⋗⩬⋾(⪎⋱⫍3416⨪↰⇹⪎⋱⫍14B6≫≃))⊠≄⫣=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=(⋗⩬⋾(⪎⋱⫍3416⨪↰⇹⪎⋱⫍14B6≫≃))⊠≄⫣","cot":[{"info":"⪎⋱⫍3416⨪↰⇹⪎⋱⫍14B6=⪎⋱⫍3416","layer":3},{"info":"⪎⋱⫍3416≫≃=⪎⋱⫍7369","layer":2},{"info":"⋗⩬⋾⪎⋱⫍7369=⪎⋱⫍-18A71","layer":1},{"info":"⪎⋱⫍-18A71⊠≄⫣=⪎⋱⫍0","layer":0}]}
{"id":305,"expression_no_base_symbol":"⋗⩬⋾(⩦⩻⨪($1631$⫥∨⫟$1720$)⨰($5148$%$2379$))","expression":"⋗⩬⋾(⩦⩻⨪(⪎⋱⫍986⫥∨⫟⪎⋱⫍A24)⨰(⪎⋱⫍2460%⪎⋱⫍1110))","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":168,"operation_count":5,"complexity_ratio":33.6,"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":1631,"base":13},"right_expr":{"type":"numeric_atoms","value":1720,"base":13}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":5148,"base":13},"right_expr":{"type":"numeric_atoms","value":2379,"base":13}}}}},"used_operators":["DpFCA1CohY","2td37pGCOC","eewbuw0ToL","KYD54nUTWz","k8jYdgA6NY"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1631","layer":4},{"info":"number node, value=1720","layer":4},{"info":"compute binary expreesion, left_input=1631, right_input=1720, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=5148","layer":4},{"info":"number node, value=2379","layer":4},{"info":"compute binary expreesion, left_input=5148, right_input=2379, op_id = k8jYdgA6NY binary_op_definition= 'None', output=390","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=390, 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":"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":13,"result_base":13,"text":"⋗⩬⋾(⩦⩻⨪(⪎⋱⫍986⫥∨⫟⪎⋱⫍A24)⨰(⪎⋱⫍2460%⪎⋱⫍1110))=NaN","reverse_text":"NaN=⋗⩬⋾(⩦⩻⨪(⪎⋱⫍986⫥∨⫟⪎⋱⫍A24)⨰(⪎⋱⫍2460%⪎⋱⫍1110))","cot":[{"info":"⪎⋱⫍986⫥∨⫟⪎⋱⫍A24=NaN","layer":3},{"info":"⪎⋱⫍2460%⪎⋱⫍1110=⪎⋱⫍240","layer":3},{"info":"NaN⨰⪎⋱⫍240=NaN","layer":2},{"info":"⩦⩻⨪NaN=NaN","layer":1},{"info":"⋗⩬⋾NaN=NaN","layer":0}]}
{"id":306,"expression_no_base_symbol":"⇁⨣⪵(($4318$↛⩡⫤)↺$1243$+⇶⊼$4339$)⪛(($1726$↛⩡⫤)⨽($6649$⪠⩆⊳))","expression":"⇁⨣⪵((⪎⋱⫍1C72↛⩡⫤)↺⪎⋱⫍748+⇶⊼⪎⋱⫍1C8A)⪛((⪎⋱⫍A2A↛⩡⫤)⨽(⪎⋱⫍3046⪠⩆⊳))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":275138,"operation_count":8,"complexity_ratio":34392.25,"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":4318,"base":13}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1243,"base":13},"right_expr":{"type":"numeric_atoms","value":4339,"base":13}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":1726,"base":13}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":6649,"base":13}}}}},"used_operators":["inkyxCbjAn","uFcxV4UQCh","7j4O788W3g","FU0Cs4j7VP","TpPTUOHfaN","8HhzD0ZcuI","JLbD19bQDL"],"dependent_operators":["B5M0gjZbta","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","AHs5Up7iyr","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4318","layer":4},{"info":"compute unary expreesion, input=4318, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-648107","layer":3},{"info":"number node, value=1243","layer":4},{"info":"number node, value=4339","layer":4},{"info":"compute binary expreesion, left_input=1243, right_input=4339, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=-648107, 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=1726","layer":4},{"info":"compute unary expreesion, input=1726, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-256715","layer":3},{"info":"number node, value=6649","layer":4},{"info":"compute unary expreesion, input=6649, 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=-256715, right_input=0, 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 = 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 = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⇁⨣⪵((⪎⋱⫍1C72↛⩡⫤)↺⪎⋱⫍748+⇶⊼⪎⋱⫍1C8A)⪛((⪎⋱⫍A2A↛⩡⫤)⨽(⪎⋱⫍3046⪠⩆⊳))=NaN","reverse_text":"NaN=⇁⨣⪵((⪎⋱⫍1C72↛⩡⫤)↺⪎⋱⫍748+⇶⊼⪎⋱⫍1C8A)⪛((⪎⋱⫍A2A↛⩡⫤)⨽(⪎⋱⫍3046⪠⩆⊳))","cot":[{"info":"⪎⋱⫍1C72↛⩡⫤=⪎⋱⫍-198CC5","layer":3},{"info":"⪎⋱⫍748+⇶⊼⪎⋱⫍1C8A=NaN","layer":3},{"info":"⪎⋱⫍-198CC5↺NaN=NaN","layer":2},{"info":"⪎⋱⫍A2A↛⩡⫤=⪎⋱⫍-8CB04","layer":3},{"info":"⪎⋱⫍3046⪠⩆⊳=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍-8CB04⨽⪎⋱⫍0=-Inf","layer":2},{"info":"NaN⪛-Inf=NaN","layer":1},{"info":"⇁⨣⪵NaN=NaN","layer":0}]}
{"id":307,"expression_no_base_symbol":"((≤/$4353$)⪢$1560$⊴$2864$)⪮%⊝(($2396$↺$1800$)∸)⋝⋈⪟((∥⊫$1721$)∑⇟⊟($4964$⨳⩥⨓$4259$)⫥∨⫟((∂$1215$)⋷$2896$⋓$1333$))","expression":"((≤/⪎⋱⫍1C9B)⪢⪎⋱⫍930⊴⪎⋱⫍13C4)⪮%⊝((⪎⋱⫍1124↺⪎⋱⫍A86)∸)⋝⋈⪟((∥⊫⪎⋱⫍A25)∑⇟⊟(⪎⋱⫍234B⨳⩥⨓⪎⋱⫍1C28)⫥∨⫟((∂⪎⋱⫍726)⋷⪎⋱⫍141A⋓⪎⋱⫍7B7))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":501191,"operation_count":14,"complexity_ratio":35799.357142857145,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":4353,"base":13}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1560,"base":13},"right_expr":{"type":"numeric_atoms","value":2864,"base":13}}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2396,"base":13},"right_expr":{"type":"numeric_atoms","value":1800,"base":13}}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":1721,"base":13}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":4964,"base":13},"right_expr":{"type":"numeric_atoms","value":4259,"base":13}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":1215,"base":13}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2896,"base":13},"right_expr":{"type":"numeric_atoms","value":1333,"base":13}}}}},"used_operators":["2DDjHMKMc0","IWmyXbctLI","dWAJyo7jo9","eLAdDNolq6","Nsiff2A1zJ","o20kRiQErp","7j4O788W3g","KYD54nUTWz","U7g4x0WXJJ","P8v4zCKN1o","nCS4ZIUYfx","23Mk6UjR3U","Uaa54Peajs","T2fj7uvVaJ"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","k8jYdgA6NY","rysDP5nf3Z","dWAJyo7jo9","14qkJME0vr","tmPS8pqC7x","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4353","layer":4},{"info":"compute unary expreesion, input=4353, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-3869","layer":3},{"info":"number node, value=1560","layer":4},{"info":"number node, value=2864","layer":4},{"info":"compute binary expreesion, left_input=1560, right_input=2864, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-3869, 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=2396","layer":4},{"info":"number node, value=1800","layer":4},{"info":"compute binary expreesion, left_input=2396, right_input=1800, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1800","layer":3},{"info":"compute unary expreesion, input=1800, 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 = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":1},{"info":"number node, value=1721","layer":4},{"info":"compute unary expreesion, input=1721, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2589","layer":3},{"info":"number node, value=4964","layer":4},{"info":"number node, value=4259","layer":4},{"info":"compute binary expreesion, left_input=4964, right_input=4259, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-705","layer":3},{"info":"compute binary expreesion, left_input=2589, right_input=-705, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=1215","layer":4},{"info":"compute unary expreesion, input=1215, 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=2896","layer":4},{"info":"number node, value=1333","layer":4},{"info":"compute binary expreesion, left_input=2896, right_input=1333, op_id = T2fj7uvVaJ binary_op_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 = 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 = 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":13,"result_base":13,"text":"((≤/⪎⋱⫍1C9B)⪢⪎⋱⫍930⊴⪎⋱⫍13C4)⪮%⊝((⪎⋱⫍1124↺⪎⋱⫍A86)∸)⋝⋈⪟((∥⊫⪎⋱⫍A25)∑⇟⊟(⪎⋱⫍234B⨳⩥⨓⪎⋱⫍1C28)⫥∨⫟((∂⪎⋱⫍726)⋷⪎⋱⫍141A⋓⪎⋱⫍7B7))=NaN","reverse_text":"NaN=((≤/⪎⋱⫍1C9B)⪢⪎⋱⫍930⊴⪎⋱⫍13C4)⪮%⊝((⪎⋱⫍1124↺⪎⋱⫍A86)∸)⋝⋈⪟((∥⊫⪎⋱⫍A25)∑⇟⊟(⪎⋱⫍234B⨳⩥⨓⪎⋱⫍1C28)⫥∨⫟((∂⪎⋱⫍726)⋷⪎⋱⫍141A⋓⪎⋱⫍7B7))","cot":[{"info":"≤/⪎⋱⫍1C9B=⪎⋱⫍-19B8","layer":3},{"info":"⪎⋱⫍930⊴⪎⋱⫍13C4=NaN","layer":3},{"info":"⪎⋱⫍-19B8⪢NaN=NaN","layer":2},{"info":"⪎⋱⫍1124↺⪎⋱⫍A86=⪎⋱⫍A86","layer":3},{"info":"⪎⋱⫍A86∸=⪎⋱⫍108","layer":2},{"info":"NaN⪮%⊝⪎⋱⫍108=NaN","layer":1},{"info":"∥⊫⪎⋱⫍A25=⪎⋱⫍1242","layer":3},{"info":"⪎⋱⫍234B⨳⩥⨓⪎⋱⫍1C28=⪎⋱⫍-423","layer":3},{"info":"⪎⋱⫍1242∑⇟⊟⪎⋱⫍-423=NaN","layer":2},{"info":"∂⪎⋱⫍726=NaN","layer":3},{"info":"⪎⋱⫍141A⋓⪎⋱⫍7B7=⪎⋱⫍0","layer":3},{"info":"NaN⋷⪎⋱⫍0=NaN","layer":2},{"info":"NaN⫥∨⫟NaN=NaN","layer":1},{"info":"NaN⋝⋈⪟NaN=NaN","layer":0}]}
{"id":308,"expression_no_base_symbol":"↽≂(($1927$≹⇙⪍$1227$⫡⨏$2498$+⇶⊼$4956$)↺($1213$⨐⩸⫘$1124$⨸⪁($3446$⫡⨏$2259$)))","expression":"↽≂((⪎⋱⫍B53≹⇙⪍⪎⋱⫍735⫡⨏⪎⋱⫍11A2+⇶⊼⪎⋱⫍2343)↺(⪎⋱⫍724⨐⩸⫘⪎⋱⫍686⨸⪁(⪎⋱⫍1751⫡⨏⪎⋱⫍104A)))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":25,"operation_count":8,"complexity_ratio":3.125,"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":1927,"base":13},"right_expr":{"type":"numeric_atoms","value":1227,"base":13}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2498,"base":13},"right_expr":{"type":"numeric_atoms","value":4956,"base":13}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1213,"base":13},"right_expr":{"type":"numeric_atoms","value":1124,"base":13}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":3446,"base":13},"right_expr":{"type":"numeric_atoms","value":2259,"base":13}}}}},"used_operators":["u6S6b8DprG","7j4O788W3g","QMFrweE19q","AHs5Up7iyr","TpPTUOHfaN","g55IO6H4Gj","fu6greOZ01"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","AHs5Up7iyr","W4YGzv6Whe","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1927","layer":4},{"info":"number node, value=1227","layer":4},{"info":"compute binary expreesion, left_input=1927, 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=2498","layer":4},{"info":"number node, value=4956","layer":4},{"info":"compute binary expreesion, left_input=2498, right_input=4956, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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 = 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=1213","layer":4},{"info":"number node, value=1124","layer":4},{"info":"compute binary expreesion, left_input=1213, right_input=1124, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=3446","layer":4},{"info":"number node, value=2259","layer":4},{"info":"compute binary expreesion, left_input=3446, right_input=2259, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=22531","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=22531, 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 = 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 = 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":13,"result_base":13,"text":"↽≂((⪎⋱⫍B53≹⇙⪍⪎⋱⫍735⫡⨏⪎⋱⫍11A2+⇶⊼⪎⋱⫍2343)↺(⪎⋱⫍724⨐⩸⫘⪎⋱⫍686⨸⪁(⪎⋱⫍1751⫡⨏⪎⋱⫍104A)))=NaN","reverse_text":"NaN=↽≂((⪎⋱⫍B53≹⇙⪍⪎⋱⫍735⫡⨏⪎⋱⫍11A2+⇶⊼⪎⋱⫍2343)↺(⪎⋱⫍724⨐⩸⫘⪎⋱⫍686⨸⪁(⪎⋱⫍1751⫡⨏⪎⋱⫍104A)))","cot":[{"info":"⪎⋱⫍B53≹⇙⪍⪎⋱⫍735=NaN","layer":3},{"info":"⪎⋱⫍11A2+⇶⊼⪎⋱⫍2343=NaN","layer":3},{"info":"NaN⫡⨏NaN=NaN","layer":2},{"info":"⪎⋱⫍724⨐⩸⫘⪎⋱⫍686=NaN","layer":3},{"info":"⪎⋱⫍1751⫡⨏⪎⋱⫍104A=⪎⋱⫍A342","layer":3},{"info":"NaN⨸⪁⪎⋱⫍A342=NaN","layer":2},{"info":"NaN↺NaN=NaN","layer":1},{"info":"↽≂NaN=NaN","layer":0}]}
{"id":309,"expression_no_base_symbol":"(($5943$∀⇚≩$1401$⪒($1750$/$1723$))⪄($5349$⩷∴$1005$%$4663$⨐⩸⫘$1555$))⋥≓≎($3087$↺$1174$⊉≛↸$1557$⨟⋌⩍$1044$)⨟⋌⩍((-$1207$)+⇶⊼(⨑⩽⪐$2849$))","expression":"((⪎⋱⫍2922∀⇚≩⪎⋱⫍83A⪒(⪎⋱⫍A48/⪎⋱⫍A27))⪄(⪎⋱⫍2586⩷∴⪎⋱⫍5C4%⪎⋱⫍2179⨐⩸⫘⪎⋱⫍928))⋥≓≎(⪎⋱⫍1536↺⪎⋱⫍6C4⊉≛↸⪎⋱⫍92A⨟⋌⩍⪎⋱⫍624)⨟⋌⩍((-⪎⋱⫍71B)+⇶⊼(⨑⩽⪐⪎⋱⫍13B2))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":41650,"operation_count":15,"complexity_ratio":2776.6666666666665,"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":5943,"base":13},"right_expr":{"type":"numeric_atoms","value":1401,"base":13}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1750,"base":13},"right_expr":{"type":"numeric_atoms","value":1723,"base":13}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":5349,"base":13},"right_expr":{"type":"numeric_atoms","value":1005,"base":13}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":4663,"base":13},"right_expr":{"type":"numeric_atoms","value":1555,"base":13}}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":3087,"base":13},"right_expr":{"type":"numeric_atoms","value":1174,"base":13}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1557,"base":13},"right_expr":{"type":"numeric_atoms","value":1044,"base":13}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1207,"base":13}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":2849,"base":13}}}}},"used_operators":["Qy55tPpLXF","SUmda5xLS4","f6k1SAg4EE","LRNGc0VcxI","XhwjNDsVaA","k8jYdgA6NY","9FxExcQeMw","fu6greOZ01","rGHVDoGpnC","DZ8iAZOCBD","7j4O788W3g","TpPTUOHfaN","t8gj7n24qd","AF7qkfDlqP"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","rysDP5nf3Z","rysDP5nf3Z","rysDP5nf3Z","3ViojmjbAp","Tcnh7f0tEr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5943","layer":4},{"info":"number node, value=1401","layer":4},{"info":"compute binary expreesion, left_input=5943, right_input=1401, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=1750","layer":4},{"info":"number node, value=1723","layer":4},{"info":"compute binary expreesion, left_input=1750, right_input=1723, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":2},{"info":"number node, value=5349","layer":4},{"info":"number node, value=1005","layer":4},{"info":"compute binary expreesion, left_input=5349, right_input=1005, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=8656","layer":3},{"info":"number node, value=4663","layer":4},{"info":"number node, value=1555","layer":4},{"info":"compute binary expreesion, left_input=4663, right_input=1555, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=8656, 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 = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":1},{"info":"number node, value=3087","layer":4},{"info":"number node, value=1174","layer":4},{"info":"compute binary expreesion, left_input=3087, right_input=1174, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1174","layer":3},{"info":"number node, value=1557","layer":4},{"info":"number node, value=1044","layer":4},{"info":"compute binary expreesion, left_input=1557, right_input=1044, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=1174, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2348","layer":2},{"info":"number node, value=1207","layer":4},{"info":"compute unary expreesion, input=1207, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1207","layer":3},{"info":"number node, value=2849","layer":4},{"info":"compute unary expreesion, input=2849, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-2576","layer":3},{"info":"compute binary expreesion, left_input=-1207, right_input=-2576, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=2348, 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=3979, 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":13,"result_base":13,"text":"((⪎⋱⫍2922∀⇚≩⪎⋱⫍83A⪒(⪎⋱⫍A48/⪎⋱⫍A27))⪄(⪎⋱⫍2586⩷∴⪎⋱⫍5C4%⪎⋱⫍2179⨐⩸⫘⪎⋱⫍928))⋥≓≎(⪎⋱⫍1536↺⪎⋱⫍6C4⊉≛↸⪎⋱⫍92A⨟⋌⩍⪎⋱⫍624)⨟⋌⩍((-⪎⋱⫍71B)+⇶⊼(⨑⩽⪐⪎⋱⫍13B2))=NaN","reverse_text":"NaN=((⪎⋱⫍2922∀⇚≩⪎⋱⫍83A⪒(⪎⋱⫍A48/⪎⋱⫍A27))⪄(⪎⋱⫍2586⩷∴⪎⋱⫍5C4%⪎⋱⫍2179⨐⩸⫘⪎⋱⫍928))⋥≓≎(⪎⋱⫍1536↺⪎⋱⫍6C4⊉≛↸⪎⋱⫍92A⨟⋌⩍⪎⋱⫍624)⨟⋌⩍((-⪎⋱⫍71B)+⇶⊼(⨑⩽⪐⪎⋱⫍13B2))","cot":[{"info":"⪎⋱⫍2922∀⇚≩⪎⋱⫍83A=NaN","layer":3},{"info":"⪎⋱⫍A48/⪎⋱⫍A27=⪎⋱⫍1","layer":3},{"info":"NaN⪒⪎⋱⫍1=NaN","layer":2},{"info":"⪎⋱⫍2586⩷∴⪎⋱⫍5C4=⪎⋱⫍3C2B","layer":3},{"info":"⪎⋱⫍2179⨐⩸⫘⪎⋱⫍928=NaN","layer":3},{"info":"⪎⋱⫍3C2B%NaN=NaN","layer":2},{"info":"NaN⪄NaN=⪎⋱⫍1A71","layer":1},{"info":"⪎⋱⫍1536↺⪎⋱⫍6C4=⪎⋱⫍6C4","layer":3},{"info":"⪎⋱⫍92A⨟⋌⩍⪎⋱⫍624=NaN","layer":3},{"info":"⪎⋱⫍6C4⊉≛↸NaN=⪎⋱⫍10B8","layer":2},{"info":"-⪎⋱⫍71B=⪎⋱⫍-71B","layer":3},{"info":"⨑⩽⪐⪎⋱⫍13B2=⪎⋱⫍-1232","layer":3},{"info":"⪎⋱⫍-71B+⇶⊼⪎⋱⫍-1232=NaN","layer":2},{"info":"⪎⋱⫍10B8⨟⋌⩍NaN=NaN","layer":1},{"info":"⪎⋱⫍1A71⋥≓≎NaN=NaN","layer":0}]}
{"id":310,"expression_no_base_symbol":"⊄⩳↩(⨰⫟⨤($7711$≭$2689$≭($1811$⇼⇔∾$5557$)))","expression":"⊄⩳↩(⨰⫟⨤(⪎⋱⫍3682≭⪎⋱⫍12BB≭(⪎⋱⫍A94⇼⇔∾⪎⋱⫍26B6)))","highest_n_order":5,"priority_hierarchical_complexity":3,"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":7711,"base":13},"right_expr":{"type":"numeric_atoms","value":2689,"base":13}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1811,"base":13},"right_expr":{"type":"numeric_atoms","value":5557,"base":13}}}}},"used_operators":["8w2t5hMYqp","Tw270M8GLb","rxpJgHHUmx","tifHPKVTfV"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=7711","layer":4},{"info":"number node, value=2689","layer":4},{"info":"compute binary expreesion, left_input=7711, right_input=2689, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=1811","layer":4},{"info":"number node, value=5557","layer":4},{"info":"compute binary expreesion, left_input=1811, right_input=5557, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=3746","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3746, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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 = 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 = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⊄⩳↩(⨰⫟⨤(⪎⋱⫍3682≭⪎⋱⫍12BB≭(⪎⋱⫍A94⇼⇔∾⪎⋱⫍26B6)))=NaN","reverse_text":"NaN=⊄⩳↩(⨰⫟⨤(⪎⋱⫍3682≭⪎⋱⫍12BB≭(⪎⋱⫍A94⇼⇔∾⪎⋱⫍26B6)))","cot":[{"info":"⪎⋱⫍3682≭⪎⋱⫍12BB=NaN","layer":3},{"info":"⪎⋱⫍A94⇼⇔∾⪎⋱⫍26B6=⪎⋱⫍1922","layer":3},{"info":"NaN≭⪎⋱⫍1922=NaN","layer":2},{"info":"⨰⫟⨤NaN=NaN","layer":1},{"info":"⊄⩳↩NaN=NaN","layer":0}]}
{"id":311,"expression_no_base_symbol":"⇁⨣⪵(($4429$⊭↱$1407$)⨓($3954$⨐⩸⫘$1227$)%(↣≠⋷$1328$)∑⇟⊟($4965$⨓$2720$))","expression":"⇁⨣⪵((⪎⋱⫍2029⊭↱⪎⋱⫍843)⨓(⪎⋱⫍1A52⨐⩸⫘⪎⋱⫍735)%(↣≠⋷⪎⋱⫍7B2)∑⇟⊟(⪎⋱⫍234C⨓⪎⋱⫍1313))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":2746,"operation_count":8,"complexity_ratio":343.25,"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":4429,"base":13},"right_expr":{"type":"numeric_atoms","value":1407,"base":13}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":3954,"base":13},"right_expr":{"type":"numeric_atoms","value":1227,"base":13}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1328,"base":13}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":4965,"base":13},"right_expr":{"type":"numeric_atoms","value":2720,"base":13}}}}},"used_operators":["inkyxCbjAn","k8jYdgA6NY","3ViojmjbAp","COABgblf1C","fu6greOZ01","U7g4x0WXJJ","Asc51vEJeQ"],"dependent_operators":["B5M0gjZbta","rysDP5nf3Z","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","XhwjNDsVaA","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4429","layer":4},{"info":"number node, value=1407","layer":4},{"info":"compute binary expreesion, left_input=4429, right_input=1407, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-6039","layer":3},{"info":"number node, value=3954","layer":4},{"info":"number node, value=1227","layer":4},{"info":"compute binary expreesion, left_input=3954, right_input=1227, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=-6039, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":2},{"info":"number node, value=1328","layer":4},{"info":"compute unary expreesion, input=1328, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=4965","layer":4},{"info":"number node, value=2720","layer":4},{"info":"compute binary expreesion, left_input=4965, right_input=2720, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2723","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-2723, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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":13,"result_base":13,"text":"⇁⨣⪵((⪎⋱⫍2029⊭↱⪎⋱⫍843)⨓(⪎⋱⫍1A52⨐⩸⫘⪎⋱⫍735)%(↣≠⋷⪎⋱⫍7B2)∑⇟⊟(⪎⋱⫍234C⨓⪎⋱⫍1313))=NaN","reverse_text":"NaN=⇁⨣⪵((⪎⋱⫍2029⊭↱⪎⋱⫍843)⨓(⪎⋱⫍1A52⨐⩸⫘⪎⋱⫍735)%(↣≠⋷⪎⋱⫍7B2)∑⇟⊟(⪎⋱⫍234C⨓⪎⋱⫍1313))","cot":[{"info":"⪎⋱⫍2029⊭↱⪎⋱⫍843=⪎⋱⫍-2997","layer":3},{"info":"⪎⋱⫍1A52⨐⩸⫘⪎⋱⫍735=NaN","layer":3},{"info":"⪎⋱⫍-2997⨓NaN=NaN","layer":2},{"info":"↣≠⋷⪎⋱⫍7B2=NaN","layer":3},{"info":"⪎⋱⫍234C⨓⪎⋱⫍1313=⪎⋱⫍-1316","layer":3},{"info":"NaN∑⇟⊟⪎⋱⫍-1316=NaN","layer":2},{"info":"NaN%NaN=NaN","layer":1},{"info":"⇁⨣⪵NaN=NaN","layer":0}]}
{"id":312,"expression_no_base_symbol":"≤/((∥⊫$5886$)⊉≛↸$3066$≭$4285$)⋳⪒$2744$∑⇟⊟$3453$⋝⋈⪟($1233$⪨≂$4337$)","expression":"≤/((∥⊫⪎⋱⫍28AA)⊉≛↸⪎⋱⫍151B≭⪎⋱⫍1C48)⋳⪒⪎⋱⫍1331∑⇟⊟⪎⋱⫍1758⋝⋈⪟(⪎⋱⫍73B⪨≂⪎⋱⫍1C88)","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":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":5886,"base":13}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":3066,"base":13},"right_expr":{"type":"numeric_atoms","value":4285,"base":13}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":2744,"base":13},"right_expr":{"type":"numeric_atoms","value":3453,"base":13}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1233,"base":13},"right_expr":{"type":"numeric_atoms","value":4337,"base":13}}}}},"used_operators":["eLAdDNolq6","12rbrZMWeM","DZ8iAZOCBD","P8v4zCKN1o","rxpJgHHUmx","2DDjHMKMc0","U7g4x0WXJJ","sdazOOVcIp"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5886","layer":4},{"info":"compute unary expreesion, input=5886, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=6754","layer":3},{"info":"number node, value=3066","layer":4},{"info":"number node, value=4285","layer":4},{"info":"compute binary expreesion, left_input=3066, right_input=4285, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=6754, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=13508","layer":2},{"info":"number node, value=2744","layer":4},{"info":"number node, value=3453","layer":4},{"info":"compute binary expreesion, left_input=2744, right_input=3453, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=1233","layer":4},{"info":"number node, value=4337","layer":4},{"info":"compute binary expreesion, left_input=1233, right_input=4337, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-6106","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-6106, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=13508, right_input=nan, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"≤/((∥⊫⪎⋱⫍28AA)⊉≛↸⪎⋱⫍151B≭⪎⋱⫍1C48)⋳⪒⪎⋱⫍1331∑⇟⊟⪎⋱⫍1758⋝⋈⪟(⪎⋱⫍73B⪨≂⪎⋱⫍1C88)=NaN","reverse_text":"NaN=≤/((∥⊫⪎⋱⫍28AA)⊉≛↸⪎⋱⫍151B≭⪎⋱⫍1C48)⋳⪒⪎⋱⫍1331∑⇟⊟⪎⋱⫍1758⋝⋈⪟(⪎⋱⫍73B⪨≂⪎⋱⫍1C88)","cot":[{"info":"∥⊫⪎⋱⫍28AA=⪎⋱⫍30C7","layer":3},{"info":"⪎⋱⫍151B≭⪎⋱⫍1C48=NaN","layer":3},{"info":"⪎⋱⫍30C7⊉≛↸NaN=⪎⋱⫍61C1","layer":2},{"info":"⪎⋱⫍1331∑⇟⊟⪎⋱⫍1758=NaN","layer":3},{"info":"⪎⋱⫍73B⪨≂⪎⋱⫍1C88=⪎⋱⫍-2A19","layer":3},{"info":"NaN⋝⋈⪟⪎⋱⫍-2A19=NaN","layer":2},{"info":"⪎⋱⫍61C1⋳⪒NaN=NaN","layer":1},{"info":"≤/NaN=NaN","layer":0}]}
{"id":313,"expression_no_base_symbol":"((⨵≀≌$6332$)⫡⨏$1336$⊴$1122$⋷(∥⊫$2494$⋳⪒$1211$))⇼⇔∾(↯⪼($2066$⪠⩆⊳))⫥∨⫟(⨑⩽⪐($6828$-$3662$))","expression":"((⨵≀≌⪎⋱⫍2B61)⫡⨏⪎⋱⫍7BA⊴⪎⋱⫍684⋷(∥⊫⪎⋱⫍119B⋳⪒⪎⋱⫍722))⇼⇔∾(↯⪼(⪎⋱⫍C2C⪠⩆⊳))⫥∨⫟(⨑⩽⪐(⪎⋱⫍3153-⪎⋱⫍1889))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1747,"operation_count":12,"complexity_ratio":145.58333333333334,"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":6332,"base":13}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1336,"base":13},"right_expr":{"type":"numeric_atoms","value":1122,"base":13}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2494,"base":13},"right_expr":{"type":"numeric_atoms","value":1211,"base":13}}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":2066,"base":13}}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":6828,"base":13},"right_expr":{"type":"numeric_atoms","value":3662,"base":13}}}}},"used_operators":["tifHPKVTfV","23Mk6UjR3U","QMFrweE19q","srAu1WTS94","Nsiff2A1zJ","P8v4zCKN1o","12rbrZMWeM","KYD54nUTWz","8jW3W4yZS5","JLbD19bQDL","AF7qkfDlqP","rysDP5nf3Z"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=6332","layer":4},{"info":"compute unary expreesion, input=6332, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-18996","layer":3},{"info":"number node, value=1336","layer":4},{"info":"number node, value=1122","layer":4},{"info":"compute binary expreesion, left_input=1336, right_input=1122, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-18996, 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=2494","layer":4},{"info":"number node, value=1211","layer":4},{"info":"compute binary expreesion, left_input=2494, right_input=1211, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=3490","layer":3},{"info":"compute unary expreesion, input=3490, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=4358","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=4358, 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=2066","layer":4},{"info":"compute unary expreesion, input=2066, 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 = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":2},{"info":"number node, value=6828","layer":4},{"info":"number node, value=3662","layer":4},{"info":"compute binary expreesion, left_input=6828, right_input=3662, op_id = rysDP5nf3Z binary_op_definition= 'None', output=3166","layer":3},{"info":"compute unary expreesion, input=3166, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-2893","layer":2},{"info":"compute binary expreesion, left_input=-21, right_input=-2893, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⨵≀≌⪎⋱⫍2B61)⫡⨏⪎⋱⫍7BA⊴⪎⋱⫍684⋷(∥⊫⪎⋱⫍119B⋳⪒⪎⋱⫍722))⇼⇔∾(↯⪼(⪎⋱⫍C2C⪠⩆⊳))⫥∨⫟(⨑⩽⪐(⪎⋱⫍3153-⪎⋱⫍1889))=NaN","reverse_text":"NaN=((⨵≀≌⪎⋱⫍2B61)⫡⨏⪎⋱⫍7BA⊴⪎⋱⫍684⋷(∥⊫⪎⋱⫍119B⋳⪒⪎⋱⫍722))⇼⇔∾(↯⪼(⪎⋱⫍C2C⪠⩆⊳))⫥∨⫟(⨑⩽⪐(⪎⋱⫍3153-⪎⋱⫍1889))","cot":[{"info":"⨵≀≌⪎⋱⫍2B61=⪎⋱⫍-8853","layer":3},{"info":"⪎⋱⫍7BA⊴⪎⋱⫍684=NaN","layer":3},{"info":"⪎⋱⫍-8853⫡⨏NaN=NaN","layer":2},{"info":"⪎⋱⫍119B⋳⪒⪎⋱⫍722=⪎⋱⫍1786","layer":3},{"info":"∥⊫⪎⋱⫍1786=⪎⋱⫍1CA3","layer":2},{"info":"NaN⋷⪎⋱⫍1CA3=NaN","layer":1},{"info":"⪎⋱⫍C2C⪠⩆⊳=⪎⋱⫍0","layer":3},{"info":"↯⪼⪎⋱⫍0=⪎⋱⫍-18","layer":2},{"info":"⪎⋱⫍3153-⪎⋱⫍1889=⪎⋱⫍1597","layer":3},{"info":"⨑⩽⪐⪎⋱⫍1597=⪎⋱⫍-1417","layer":2},{"info":"⪎⋱⫍-18⫥∨⫟⪎⋱⫍-1417=NaN","layer":1},{"info":"NaN⇼⇔∾NaN=NaN","layer":0}]}
{"id":314,"expression_no_base_symbol":"(⪲⇎((↩$2393$)⨁⊸⫻))⊉≛↸(↣≠⋷($1652$⋝⋈⪟$4450$⫡⨏$7326$⇼⇔∾$6420$))","expression":"(⪲⇎((↩⪎⋱⫍1121)⨁⊸⫻))⊉≛↸(↣≠⋷(⪎⋱⫍9A1⋝⋈⪟⪎⋱⫍2044⫡⨏⪎⋱⫍3447⇼⇔∾⪎⋱⫍2BCB))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":40,"operation_count":8,"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":2393,"base":13}}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1652,"base":13},"right_expr":{"type":"numeric_atoms","value":4450,"base":13}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":7326,"base":13},"right_expr":{"type":"numeric_atoms","value":6420,"base":13}}}}},"used_operators":["DZ8iAZOCBD","XPYlsWDdGa","glklzrTFfD","jLgFTUHLKL","Asc51vEJeQ","QMFrweE19q","2DDjHMKMc0","tifHPKVTfV"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","XhwjNDsVaA","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2393","layer":4},{"info":"compute unary expreesion, input=2393, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-16364","layer":3},{"info":"compute unary expreesion, input=-16364, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=-32728","layer":2},{"info":"compute unary expreesion, input=-32728, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=-65456","layer":1},{"info":"number node, value=1652","layer":4},{"info":"number node, value=4450","layer":4},{"info":"compute binary expreesion, left_input=1652, right_input=4450, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1652","layer":3},{"info":"number node, value=7326","layer":4},{"info":"number node, value=6420","layer":4},{"info":"compute binary expreesion, left_input=7326, right_input=6420, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-906","layer":3},{"info":"compute binary expreesion, left_input=1652, right_input=-906, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=7231","layer":2},{"info":"compute unary expreesion, input=7231, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-65456, 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":13,"result_base":13,"text":"(⪲⇎((↩⪎⋱⫍1121)⨁⊸⫻))⊉≛↸(↣≠⋷(⪎⋱⫍9A1⋝⋈⪟⪎⋱⫍2044⫡⨏⪎⋱⫍3447⇼⇔∾⪎⋱⫍2BCB))=NaN","reverse_text":"NaN=(⪲⇎((↩⪎⋱⫍1121)⨁⊸⫻))⊉≛↸(↣≠⋷(⪎⋱⫍9A1⋝⋈⪟⪎⋱⫍2044⫡⨏⪎⋱⫍3447⇼⇔∾⪎⋱⫍2BCB))","cot":[{"info":"↩⪎⋱⫍1121=⪎⋱⫍-75AA","layer":3},{"info":"⪎⋱⫍-75AA⨁⊸⫻=⪎⋱⫍-11B87","layer":2},{"info":"⪲⇎⪎⋱⫍-11B87=⪎⋱⫍-23A41","layer":1},{"info":"⪎⋱⫍9A1⋝⋈⪟⪎⋱⫍2044=⪎⋱⫍9A1","layer":3},{"info":"⪎⋱⫍3447⇼⇔∾⪎⋱⫍2BCB=⪎⋱⫍-549","layer":3},{"info":"⪎⋱⫍9A1⫡⨏⪎⋱⫍-549=⪎⋱⫍33A3","layer":2},{"info":"↣≠⋷⪎⋱⫍33A3=NaN","layer":1},{"info":"⪎⋱⫍-23A41⊉≛↸NaN=NaN","layer":0}]}
{"id":315,"expression_no_base_symbol":"((-$5082$≭$1327$)⪘⫢((∥⊫$2100$)⩨$2853$⋳⪒$3147$))⨟⋌⩍(↔($1441$⇷$3461$-$3787$⊴$2428$))","expression":"((-⪎⋱⫍240C≭⪎⋱⫍7B1)⪘⫢((∥⊫⪎⋱⫍C57)⩨⪎⋱⫍13B6⋳⪒⪎⋱⫍1581))⨟⋌⩍(↔(⪎⋱⫍86B⇷⪎⋱⫍1763-⪎⋱⫍1954⊴⪎⋱⫍114A))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":29631,"operation_count":11,"complexity_ratio":2693.7272727272725,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":5082,"base":13},"right_expr":{"type":"numeric_atoms","value":1327,"base":13}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":2100,"base":13}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2853,"base":13},"right_expr":{"type":"numeric_atoms","value":3147,"base":13}}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1441,"base":13},"right_expr":{"type":"numeric_atoms","value":3461,"base":13}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":3787,"base":13},"right_expr":{"type":"numeric_atoms","value":2428,"base":13}}}}},"used_operators":["rGHVDoGpnC","oacrs7FA3X","t8gj7n24qd","rxpJgHHUmx","2DlMacCsIx","P8v4zCKN1o","12rbrZMWeM","ruOEQAzv1W","rysDP5nf3Z","mp7IySMOzn","Nsiff2A1zJ"],"dependent_operators":["Tcnh7f0tEr","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","AHs5Up7iyr","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5082","layer":4},{"info":"number node, value=1327","layer":4},{"info":"compute binary expreesion, left_input=5082, right_input=1327, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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 = t8gj7n24qd, unary_op_definition = 'None', output=nan","layer":2},{"info":"number node, value=2100","layer":4},{"info":"compute unary expreesion, input=2100, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2968","layer":3},{"info":"number node, value=2853","layer":4},{"info":"number node, value=3147","layer":4},{"info":"compute binary expreesion, left_input=2853, right_input=3147, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=2272","layer":3},{"info":"compute binary expreesion, left_input=2968, right_input=2272, 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 = 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=1441","layer":4},{"info":"number node, value=3461","layer":4},{"info":"compute binary expreesion, left_input=1441, right_input=3461, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=6922","layer":3},{"info":"number node, value=3787","layer":4},{"info":"number node, value=2428","layer":4},{"info":"compute binary expreesion, left_input=3787, right_input=2428, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=6922, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', 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 = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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":13,"result_base":13,"text":"((-⪎⋱⫍240C≭⪎⋱⫍7B1)⪘⫢((∥⊫⪎⋱⫍C57)⩨⪎⋱⫍13B6⋳⪒⪎⋱⫍1581))⨟⋌⩍(↔(⪎⋱⫍86B⇷⪎⋱⫍1763-⪎⋱⫍1954⊴⪎⋱⫍114A))=NaN","reverse_text":"NaN=((-⪎⋱⫍240C≭⪎⋱⫍7B1)⪘⫢((∥⊫⪎⋱⫍C57)⩨⪎⋱⫍13B6⋳⪒⪎⋱⫍1581))⨟⋌⩍(↔(⪎⋱⫍86B⇷⪎⋱⫍1763-⪎⋱⫍1954⊴⪎⋱⫍114A))","cot":[{"info":"⪎⋱⫍240C≭⪎⋱⫍7B1=NaN","layer":3},{"info":"-NaN=NaN","layer":2},{"info":"∥⊫⪎⋱⫍C57=⪎⋱⫍1474","layer":3},{"info":"⪎⋱⫍13B6⋳⪒⪎⋱⫍1581=⪎⋱⫍105A","layer":3},{"info":"⪎⋱⫍1474⩨⪎⋱⫍105A=⪎⋱⫍0","layer":2},{"info":"NaN⪘⫢⪎⋱⫍0=NaN","layer":1},{"info":"⪎⋱⫍86B⇷⪎⋱⫍1763=⪎⋱⫍31C6","layer":3},{"info":"⪎⋱⫍1954⊴⪎⋱⫍114A=NaN","layer":3},{"info":"⪎⋱⫍31C6-NaN=NaN","layer":2},{"info":"↔NaN=⪎⋱⫍-A4","layer":1},{"info":"NaN⨟⋌⩍⪎⋱⫍-A4=NaN","layer":0}]}
{"id":316,"expression_no_base_symbol":"(($1260$⨪↰⇹$2232$)⨟⋌⩍($1570$⇷$6173$)⋝⋈⪟(($4319$-$1399$)∧))∼(⫛⫱⨽($2071$⪛$5002$⋝⋈⪟$1452$⨟⋌⩍$1483$))","expression":"((⪎⋱⫍75C⨪↰⇹⪎⋱⫍1029)⨟⋌⩍(⪎⋱⫍93A⇷⪎⋱⫍2A6B)⋝⋈⪟((⪎⋱⫍1C73-⪎⋱⫍838)∧))∼(⫛⫱⨽(⪎⋱⫍C34⪛⪎⋱⫍237A⋝⋈⪟⪎⋱⫍879⨟⋌⩍⪎⋱⫍8A1))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":24180,"operation_count":11,"complexity_ratio":2198.181818181818,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1260,"base":13},"right_expr":{"type":"numeric_atoms","value":2232,"base":13}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1570,"base":13},"right_expr":{"type":"numeric_atoms","value":6173,"base":13}}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":4319,"base":13},"right_expr":{"type":"numeric_atoms","value":1399,"base":13}}}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2071,"base":13},"right_expr":{"type":"numeric_atoms","value":5002,"base":13}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1452,"base":13},"right_expr":{"type":"numeric_atoms","value":1483,"base":13}}}}},"used_operators":["DyGG3AbaNP","2DDjHMKMc0","rGHVDoGpnC","tmPS8pqC7x","mp7IySMOzn","z63VuFQld9","rysDP5nf3Z","DlLNRPXxWL","uFcxV4UQCh"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","rJVOvQCfKK","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","rGHVDoGpnC","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1260","layer":4},{"info":"number node, value=2232","layer":4},{"info":"compute binary expreesion, left_input=1260, right_input=2232, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1260","layer":3},{"info":"number node, value=1570","layer":4},{"info":"number node, value=6173","layer":4},{"info":"compute binary expreesion, left_input=1570, right_input=6173, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=12346","layer":3},{"info":"compute binary expreesion, left_input=1260, right_input=12346, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=4319","layer":4},{"info":"number node, value=1399","layer":4},{"info":"compute binary expreesion, left_input=4319, right_input=1399, op_id = rysDP5nf3Z binary_op_definition= 'None', output=2920","layer":3},{"info":"compute unary expreesion, input=2920, 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 = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":1},{"info":"number node, value=2071","layer":4},{"info":"number node, value=5002","layer":4},{"info":"compute binary expreesion, left_input=2071, right_input=5002, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2071","layer":3},{"info":"number node, value=1452","layer":4},{"info":"number node, value=1483","layer":4},{"info":"compute binary expreesion, left_input=1452, right_input=1483, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=2071, 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 = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', 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":13,"result_base":13,"text":"((⪎⋱⫍75C⨪↰⇹⪎⋱⫍1029)⨟⋌⩍(⪎⋱⫍93A⇷⪎⋱⫍2A6B)⋝⋈⪟((⪎⋱⫍1C73-⪎⋱⫍838)∧))∼(⫛⫱⨽(⪎⋱⫍C34⪛⪎⋱⫍237A⋝⋈⪟⪎⋱⫍879⨟⋌⩍⪎⋱⫍8A1))=NaN","reverse_text":"NaN=((⪎⋱⫍75C⨪↰⇹⪎⋱⫍1029)⨟⋌⩍(⪎⋱⫍93A⇷⪎⋱⫍2A6B)⋝⋈⪟((⪎⋱⫍1C73-⪎⋱⫍838)∧))∼(⫛⫱⨽(⪎⋱⫍C34⪛⪎⋱⫍237A⋝⋈⪟⪎⋱⫍879⨟⋌⩍⪎⋱⫍8A1))","cot":[{"info":"⪎⋱⫍75C⨪↰⇹⪎⋱⫍1029=⪎⋱⫍75C","layer":3},{"info":"⪎⋱⫍93A⇷⪎⋱⫍2A6B=⪎⋱⫍5809","layer":3},{"info":"⪎⋱⫍75C⨟⋌⩍⪎⋱⫍5809=NaN","layer":2},{"info":"⪎⋱⫍1C73-⪎⋱⫍838=⪎⋱⫍1438","layer":3},{"info":"⪎⋱⫍1438∧=NaN","layer":2},{"info":"NaN⋝⋈⪟NaN=NaN","layer":1},{"info":"⪎⋱⫍C34⪛⪎⋱⫍237A=⪎⋱⫍C34","layer":3},{"info":"⪎⋱⫍879⨟⋌⩍⪎⋱⫍8A1=NaN","layer":3},{"info":"⪎⋱⫍C34⋝⋈⪟NaN=NaN","layer":2},{"info":"⫛⫱⨽NaN=NaN","layer":1},{"info":"NaN∼NaN=NaN","layer":0}]}
{"id":317,"expression_no_base_symbol":"(∂(∥⊫($4533$⨵⪆$7975$)))+(($2485$%$8200$)*$2296$≎⊠⪸$3540$)↬((↥$1202$)⨸⪁$2560$⩷∴$1446$)","expression":"(∂(∥⊫(⪎⋱⫍20A9⨵⪆⪎⋱⫍3826)))+((⪎⋱⫍1192%⪎⋱⫍396A)*⪎⋱⫍1078≎⊠⪸⪎⋱⫍17C4)↬((↥⪎⋱⫍716)⨸⪁⪎⋱⫍121C⩷∴⪎⋱⫍873)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2796,"operation_count":11,"complexity_ratio":254.1818181818182,"tree":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":4533,"base":13},"right_expr":{"type":"numeric_atoms","value":7975,"base":13}}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2485,"base":13},"right_expr":{"type":"numeric_atoms","value":8200,"base":13}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2296,"base":13},"right_expr":{"type":"numeric_atoms","value":3540,"base":13}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":1202,"base":13}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2560,"base":13},"right_expr":{"type":"numeric_atoms","value":1446,"base":13}}}}},"used_operators":["W4YGzv6Whe","Uaa54Peajs","P8v4zCKN1o","2DQ55sFlQl","B5M0gjZbta","9HNa5Wba9A","k8jYdgA6NY","bJkvcejdHO","g55IO6H4Gj","A8NUZmVepG","9FxExcQeMw"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","k8jYdgA6NY","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4533","layer":4},{"info":"number node, value=7975","layer":4},{"info":"compute binary expreesion, left_input=4533, right_input=7975, 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 = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=1028","layer":2},{"info":"compute unary expreesion, input=1028, 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=2485","layer":4},{"info":"number node, value=8200","layer":4},{"info":"compute binary expreesion, left_input=2485, right_input=8200, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2485","layer":3},{"info":"number node, value=2296","layer":4},{"info":"number node, value=3540","layer":4},{"info":"compute binary expreesion, left_input=2296, right_input=3540, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=594191","layer":3},{"info":"compute binary expreesion, left_input=2485, right_input=594191, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=1476564635","layer":2},{"info":"number node, value=1202","layer":4},{"info":"compute unary expreesion, input=1202, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=29","layer":3},{"info":"number node, value=2560","layer":4},{"info":"number node, value=1446","layer":4},{"info":"compute binary expreesion, left_input=2560, right_input=1446, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=2196","layer":3},{"info":"compute binary expreesion, left_input=29, right_input=2196, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=4450","layer":2},{"info":"compute binary expreesion, left_input=1476564635, right_input=4450, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":13,"result_base":13,"text":"(∂(∥⊫(⪎⋱⫍20A9⨵⪆⪎⋱⫍3826)))+((⪎⋱⫍1192%⪎⋱⫍396A)*⪎⋱⫍1078≎⊠⪸⪎⋱⫍17C4)↬((↥⪎⋱⫍716)⨸⪁⪎⋱⫍121C⩷∴⪎⋱⫍873)=NaN","reverse_text":"NaN=(∂(∥⊫(⪎⋱⫍20A9⨵⪆⪎⋱⫍3826)))+((⪎⋱⫍1192%⪎⋱⫍396A)*⪎⋱⫍1078≎⊠⪸⪎⋱⫍17C4)↬((↥⪎⋱⫍716)⨸⪁⪎⋱⫍121C⩷∴⪎⋱⫍873)","cot":[{"info":"⪎⋱⫍20A9⨵⪆⪎⋱⫍3826=⪎⋱⫍C4","layer":3},{"info":"∥⊫⪎⋱⫍C4=⪎⋱⫍611","layer":2},{"info":"∂⪎⋱⫍611=NaN","layer":1},{"info":"⪎⋱⫍1192%⪎⋱⫍396A=⪎⋱⫍1192","layer":3},{"info":"⪎⋱⫍1078≎⊠⪸⪎⋱⫍17C4=⪎⋱⫍17A5C0","layer":3},{"info":"⪎⋱⫍1192*⪎⋱⫍17A5C0=⪎⋱⫍1A6BA82B0","layer":2},{"info":"↥⪎⋱⫍716=⪎⋱⫍23","layer":3},{"info":"⪎⋱⫍121C⩷∴⪎⋱⫍873=⪎⋱⫍CCC","layer":3},{"info":"⪎⋱⫍23⨸⪁⪎⋱⫍CCC=⪎⋱⫍2044","layer":2},{"info":"⪎⋱⫍1A6BA82B0↬⪎⋱⫍2044=NaN","layer":1},{"info":"NaN+NaN=NaN","layer":0}]}
{"id":318,"expression_no_base_symbol":"(↯⪼($2089$⨵⪆$2229$))⫥∨⫟((⨈⫕$7149$)⨵⪆$5422$≹⇙⪍$1487$)⨎(($1106$↬$1162$+$2264$+⇶⊼$5795$)∸)","expression":"(↯⪼(⪎⋱⫍C49⨵⪆⪎⋱⫍1026))⫥∨⫟((⨈⫕⪎⋱⫍333C)⨵⪆⪎⋱⫍2611≹⇙⪍⪎⋱⫍8A5)⨎((⪎⋱⫍671↬⪎⋱⫍6B5+⪎⋱⫍1052+⇶⊼⪎⋱⫍283A)∸)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":755,"operation_count":11,"complexity_ratio":68.63636363636364,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2089,"base":13},"right_expr":{"type":"numeric_atoms","value":2229,"base":13}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":7149,"base":13}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":5422,"base":13},"right_expr":{"type":"numeric_atoms","value":1487,"base":13}}}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1106,"base":13},"right_expr":{"type":"numeric_atoms","value":1162,"base":13}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2264,"base":13},"right_expr":{"type":"numeric_atoms","value":5795,"base":13}}}}},"used_operators":["rJVOvQCfKK","KYD54nUTWz","8jW3W4yZS5","2DQ55sFlQl","megm06wKyl","AHs5Up7iyr","o20kRiQErp","W4YGzv6Whe","B5M0gjZbta","TpPTUOHfaN"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","8HhzD0ZcuI","rGHVDoGpnC","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","dWAJyo7jo9","tmPS8pqC7x","rGHVDoGpnC","AHs5Up7iyr"],"result":"⪎⋱⫍108","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2089","layer":4},{"info":"number node, value=2229","layer":4},{"info":"compute binary expreesion, left_input=2089, right_input=2229, 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":"number node, value=7149","layer":4},{"info":"compute unary expreesion, input=7149, 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=5422","layer":4},{"info":"number node, value=1487","layer":4},{"info":"compute binary expreesion, left_input=5422, right_input=1487, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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 = 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 = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=1106","layer":4},{"info":"number node, value=1162","layer":4},{"info":"compute binary expreesion, left_input=1106, right_input=1162, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=2264","layer":4},{"info":"number node, value=5795","layer":4},{"info":"compute binary expreesion, left_input=2264, right_input=5795, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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 = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=177, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=177","layer":0}],"base":13,"result_base":13,"text":"(↯⪼(⪎⋱⫍C49⨵⪆⪎⋱⫍1026))⫥∨⫟((⨈⫕⪎⋱⫍333C)⨵⪆⪎⋱⫍2611≹⇙⪍⪎⋱⫍8A5)⨎((⪎⋱⫍671↬⪎⋱⫍6B5+⪎⋱⫍1052+⇶⊼⪎⋱⫍283A)∸)=⪎⋱⫍108","reverse_text":"⪎⋱⫍108=(↯⪼(⪎⋱⫍C49⨵⪆⪎⋱⫍1026))⫥∨⫟((⨈⫕⪎⋱⫍333C)⨵⪆⪎⋱⫍2611≹⇙⪍⪎⋱⫍8A5)⨎((⪎⋱⫍671↬⪎⋱⫍6B5+⪎⋱⫍1052+⇶⊼⪎⋱⫍283A)∸)","cot":[{"info":"⪎⋱⫍C49⨵⪆⪎⋱⫍1026=⪎⋱⫍C4","layer":3},{"info":"↯⪼⪎⋱⫍C4=⪎⋱⫍-18","layer":2},{"info":"⨈⫕⪎⋱⫍333C=⪎⋱⫍-18","layer":3},{"info":"⪎⋱⫍2611≹⇙⪍⪎⋱⫍8A5=NaN","layer":3},{"info":"⪎⋱⫍-18⨵⪆NaN=⪎⋱⫍C4","layer":2},{"info":"⪎⋱⫍-18⫥∨⫟⪎⋱⫍C4=NaN","layer":1},{"info":"⪎⋱⫍671↬⪎⋱⫍6B5=NaN","layer":3},{"info":"⪎⋱⫍1052+⇶⊼⪎⋱⫍283A=NaN","layer":3},{"info":"NaN+NaN=NaN","layer":2},{"info":"NaN∸=⪎⋱⫍108","layer":1},{"info":"NaN⨎⪎⋱⫍108=⪎⋱⫍108","layer":0}]}
{"id":319,"expression_no_base_symbol":"(⩦⩻⨪(⩦⩻⨪($3902$⨸⪁$5459$)))-(($1995$⨵⪆$3578$)⪒$2771$≧⫂∧$1757$)⪄(⩦⩻⨪(↣≠⋷$2558$))","expression":"(⩦⩻⨪(⩦⩻⨪(⪎⋱⫍1A12⨸⪁⪎⋱⫍263C)))-((⪎⋱⫍BA6⨵⪆⪎⋱⫍1823)⪒⪎⋱⫍1352≧⫂∧⪎⋱⫍A52)⪄(⩦⩻⨪(↣≠⋷⪎⋱⫍121A))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":113,"operation_count":10,"complexity_ratio":11.3,"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":3902,"base":13},"right_expr":{"type":"numeric_atoms","value":5459,"base":13}}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1995,"base":13},"right_expr":{"type":"numeric_atoms","value":3578,"base":13}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2771,"base":13},"right_expr":{"type":"numeric_atoms","value":1757,"base":13}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":2558,"base":13}}}}},"used_operators":["rysDP5nf3Z","2td37pGCOC","g55IO6H4Gj","SUmda5xLS4","f6k1SAg4EE","2DQ55sFlQl","Ph9nP6C5qx","Asc51vEJeQ"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr"],"result":"⪎⋱⫍6931","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3902","layer":4},{"info":"number node, value=5459","layer":4},{"info":"compute binary expreesion, left_input=3902, right_input=5459, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=18722","layer":3},{"info":"compute unary expreesion, input=18722, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=18722","layer":2},{"info":"compute unary expreesion, input=18722, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=18722","layer":1},{"info":"number node, value=1995","layer":4},{"info":"number node, value=3578","layer":4},{"info":"compute binary expreesion, left_input=1995, right_input=3578, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=2771","layer":4},{"info":"number node, value=1757","layer":4},{"info":"compute binary expreesion, left_input=2771, right_input=1757, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1284","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=1284, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-1444","layer":2},{"info":"number node, value=2558","layer":4},{"info":"compute unary expreesion, input=2558, 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=-1444, 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=18722, right_input=3979, op_id = rysDP5nf3Z binary_op_definition= 'None', output=14743","layer":0}],"base":13,"result_base":13,"text":"(⩦⩻⨪(⩦⩻⨪(⪎⋱⫍1A12⨸⪁⪎⋱⫍263C)))-((⪎⋱⫍BA6⨵⪆⪎⋱⫍1823)⪒⪎⋱⫍1352≧⫂∧⪎⋱⫍A52)⪄(⩦⩻⨪(↣≠⋷⪎⋱⫍121A))=⪎⋱⫍6931","reverse_text":"⪎⋱⫍6931=(⩦⩻⨪(⩦⩻⨪(⪎⋱⫍1A12⨸⪁⪎⋱⫍263C)))-((⪎⋱⫍BA6⨵⪆⪎⋱⫍1823)⪒⪎⋱⫍1352≧⫂∧⪎⋱⫍A52)⪄(⩦⩻⨪(↣≠⋷⪎⋱⫍121A))","cot":[{"info":"⪎⋱⫍1A12⨸⪁⪎⋱⫍263C=⪎⋱⫍86A2","layer":3},{"info":"⩦⩻⨪⪎⋱⫍86A2=⪎⋱⫍86A2","layer":2},{"info":"⩦⩻⨪⪎⋱⫍86A2=⪎⋱⫍86A2","layer":1},{"info":"⪎⋱⫍BA6⨵⪆⪎⋱⫍1823=⪎⋱⫍C4","layer":3},{"info":"⪎⋱⫍1352≧⫂∧⪎⋱⫍A52=⪎⋱⫍77A","layer":3},{"info":"⪎⋱⫍C4⪒⪎⋱⫍77A=⪎⋱⫍-871","layer":2},{"info":"↣≠⋷⪎⋱⫍121A=NaN","layer":3},{"info":"⩦⩻⨪NaN=NaN","layer":2},{"info":"⪎⋱⫍-871⪄NaN=⪎⋱⫍1A71","layer":1},{"info":"⪎⋱⫍86A2-⪎⋱⫍1A71=⪎⋱⫍6931","layer":0}]}
{"id":320,"expression_no_base_symbol":"((⨑⩽⪐$2917$⇷$3292$)⪐)+⇶⊼(↥(⪝⪂⫅$4251$))⩷∴((⊙↵-$4332$)⋥≓≎(⫛⫱⨽$2060$))","expression":"((⨑⩽⪐⪎⋱⫍1435⇷⪎⋱⫍1663)⪐)+⇶⊼(↥(⪝⪂⫅⪎⋱⫍1C20))⩷∴((⊙↵-⪎⋱⫍1C83)⋥≓≎(⫛⫱⨽⪎⋱⫍C26))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":80225,"operation_count":10,"complexity_ratio":8022.5,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2917,"base":13},"right_expr":{"type":"numeric_atoms","value":3292,"base":13}}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":4251,"base":13}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":4332,"base":13}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":2060,"base":13}}}}},"used_operators":["TpPTUOHfaN","eH2TOUuTDT","AF7qkfDlqP","mp7IySMOzn","9FxExcQeMw","A8NUZmVepG","XTarYq4gQB","Qy55tPpLXF","oWn0xqSxBt","DlLNRPXxWL"],"dependent_operators":["AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","k8jYdgA6NY","9HNa5Wba9A","8w2t5hMYqp","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2917","layer":4},{"info":"number node, value=3292","layer":4},{"info":"compute binary expreesion, left_input=2917, right_input=3292, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=6584","layer":3},{"info":"compute unary expreesion, input=6584, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-6311","layer":2},{"info":"compute unary expreesion, input=-6311, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=-12622","layer":1},{"info":"number node, value=4251","layer":4},{"info":"compute unary expreesion, input=4251, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-624897","layer":3},{"info":"compute unary expreesion, input=-624897, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=6","layer":2},{"info":"number node, value=4332","layer":4},{"info":"compute unary expreesion, input=4332, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=2060","layer":4},{"info":"compute unary expreesion, input=2060, 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 = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=34","layer":2},{"info":"compute binary expreesion, left_input=6, right_input=34, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-88","layer":1},{"info":"compute binary expreesion, left_input=-12622, right_input=-88, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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":13,"result_base":13,"text":"((⨑⩽⪐⪎⋱⫍1435⇷⪎⋱⫍1663)⪐)+⇶⊼(↥(⪝⪂⫅⪎⋱⫍1C20))⩷∴((⊙↵-⪎⋱⫍1C83)⋥≓≎(⫛⫱⨽⪎⋱⫍C26))=NaN","reverse_text":"NaN=((⨑⩽⪐⪎⋱⫍1435⇷⪎⋱⫍1663)⪐)+⇶⊼(↥(⪝⪂⫅⪎⋱⫍1C20))⩷∴((⊙↵-⪎⋱⫍1C83)⋥≓≎(⫛⫱⨽⪎⋱⫍C26))","cot":[{"info":"⪎⋱⫍1435⇷⪎⋱⫍1663=⪎⋱⫍2CC6","layer":3},{"info":"⨑⩽⪐⪎⋱⫍2CC6=⪎⋱⫍-2B46","layer":2},{"info":"⪎⋱⫍-2B46⪐=⪎⋱⫍-598C","layer":1},{"info":"⪝⪂⫅⪎⋱⫍1C20=⪎⋱⫍-18B580","layer":3},{"info":"↥⪎⋱⫍-18B580=⪎⋱⫍6","layer":2},{"info":"⊙↵-⪎⋱⫍1C83=⪎⋱⫍-1","layer":3},{"info":"⫛⫱⨽⪎⋱⫍C26=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍-1⋥≓≎⪎⋱⫍0=⪎⋱⫍28","layer":2},{"info":"⪎⋱⫍6⩷∴⪎⋱⫍28=⪎⋱⫍-6A","layer":1},{"info":"⪎⋱⫍-598C+⇶⊼⪎⋱⫍-6A=NaN","layer":0}]}
{"id":321,"expression_no_base_symbol":"(($1488$⊴$2904$⨽(↽≂$5205$))⋳⪒(⊥($5923$⊭↱$1321$)))⫩⊇","expression":"((⪎⋱⫍8A6⊴⪎⋱⫍1425⨽(↽≂⪎⋱⫍24A5))⋳⪒(⊥(⪎⋱⫍2908⊭↱⪎⋱⫍7A8)))⫩⊇","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":2939,"operation_count":7,"complexity_ratio":419.85714285714283,"tree":{"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":13},"right_expr":{"type":"numeric_atoms","value":2904,"base":13}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":5205,"base":13}}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":5923,"base":13},"right_expr":{"type":"numeric_atoms","value":1321,"base":13}}}}},"used_operators":["BjRHVeLaeN","12rbrZMWeM","8HhzD0ZcuI","Nsiff2A1zJ","u6S6b8DprG","Q3PJZHRvZv","COABgblf1C"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","fu6greOZ01","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1488","layer":4},{"info":"number node, value=2904","layer":4},{"info":"compute binary expreesion, left_input=1488, right_input=2904, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=5205","layer":4},{"info":"compute unary expreesion, input=5205, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-10410","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-10410, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":2},{"info":"number node, value=5923","layer":4},{"info":"number node, value=1321","layer":4},{"info":"compute binary expreesion, left_input=5923, right_input=1321, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-9199","layer":3},{"info":"compute unary expreesion, input=-9199, 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 = 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 = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍8A6⊴⪎⋱⫍1425⨽(↽≂⪎⋱⫍24A5))⋳⪒(⊥(⪎⋱⫍2908⊭↱⪎⋱⫍7A8)))⫩⊇=NaN","reverse_text":"NaN=((⪎⋱⫍8A6⊴⪎⋱⫍1425⨽(↽≂⪎⋱⫍24A5))⋳⪒(⊥(⪎⋱⫍2908⊭↱⪎⋱⫍7A8)))⫩⊇","cot":[{"info":"⪎⋱⫍8A6⊴⪎⋱⫍1425=NaN","layer":3},{"info":"↽≂⪎⋱⫍24A5=⪎⋱⫍-497A","layer":3},{"info":"NaN⨽⪎⋱⫍-497A=NaN","layer":2},{"info":"⪎⋱⫍2908⊭↱⪎⋱⫍7A8=⪎⋱⫍-4258","layer":3},{"info":"⊥⪎⋱⫍-4258=NaN","layer":2},{"info":"NaN⋳⪒NaN=NaN","layer":1},{"info":"NaN⫩⊇=NaN","layer":0}]}
{"id":322,"expression_no_base_symbol":"($3260$⋓$4596$⪨≂$1211$⨰$2589$)*(⪲⇎(∂$3193$))%(⇁⨣⪵$1550$)⋓(≤/$3006$)⨐⩸⫘(⨑⩽⪐($1307$↪⪝))","expression":"(⪎⋱⫍163A⋓⪎⋱⫍2127⪨≂⪎⋱⫍722⨰⪎⋱⫍1242)*(⪲⇎(∂⪎⋱⫍15B8))%(⇁⨣⪵⪎⋱⫍923)⋓(≤/⪎⋱⫍14A3)⨐⩸⫘(⨑⩽⪐(⪎⋱⫍797↪⪝))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":749,"operation_count":13,"complexity_ratio":57.61538461538461,"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":3260,"base":13},"right_expr":{"type":"numeric_atoms","value":4596,"base":13}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1211,"base":13},"right_expr":{"type":"numeric_atoms","value":2589,"base":13}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":3193,"base":13}}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1550,"base":13}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":3006,"base":13}}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":1307,"base":13}}}}},"used_operators":["k8jYdgA6NY","9HNa5Wba9A","sdazOOVcIp","T2fj7uvVaJ","eewbuw0ToL","XPYlsWDdGa","Uaa54Peajs","fu6greOZ01","inkyxCbjAn","eLAdDNolq6","AF7qkfDlqP","l07mrZUIn9"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","3ViojmjbAp","B5M0gjZbta","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","9HNa5Wba9A","2DDjHMKMc0"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3260","layer":4},{"info":"number node, value=4596","layer":4},{"info":"compute binary expreesion, left_input=3260, right_input=4596, op_id = T2fj7uvVaJ binary_op_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=1211","layer":4},{"info":"number node, value=2589","layer":4},{"info":"compute binary expreesion, left_input=1211, right_input=2589, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-1368","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-1368, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=2838","layer":2},{"info":"number node, value=3193","layer":4},{"info":"compute unary expreesion, input=3193, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=2838, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=1550","layer":4},{"info":"compute unary expreesion, input=1550, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=3006","layer":4},{"info":"compute unary expreesion, input=3006, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-2522","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-2522, op_id = T2fj7uvVaJ binary_op_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=1307","layer":4},{"info":"compute unary expreesion, input=1307, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=79964874","layer":3},{"info":"compute unary expreesion, input=79964874, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-79964601","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-79964601, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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 = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍163A⋓⪎⋱⫍2127⪨≂⪎⋱⫍722⨰⪎⋱⫍1242)*(⪲⇎(∂⪎⋱⫍15B8))%(⇁⨣⪵⪎⋱⫍923)⋓(≤/⪎⋱⫍14A3)⨐⩸⫘(⨑⩽⪐(⪎⋱⫍797↪⪝))=NaN","reverse_text":"NaN=(⪎⋱⫍163A⋓⪎⋱⫍2127⪨≂⪎⋱⫍722⨰⪎⋱⫍1242)*(⪲⇎(∂⪎⋱⫍15B8))%(⇁⨣⪵⪎⋱⫍923)⋓(≤/⪎⋱⫍14A3)⨐⩸⫘(⨑⩽⪐(⪎⋱⫍797↪⪝))","cot":[{"info":"⪎⋱⫍163A⋓⪎⋱⫍2127=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍722⨰⪎⋱⫍1242=⪎⋱⫍-813","layer":3},{"info":"⪎⋱⫍0⪨≂⪎⋱⫍-813=⪎⋱⫍13A4","layer":2},{"info":"∂⪎⋱⫍15B8=NaN","layer":3},{"info":"⪲⇎NaN=NaN","layer":2},{"info":"⪎⋱⫍13A4*NaN=NaN","layer":1},{"info":"⇁⨣⪵⪎⋱⫍923=NaN","layer":3},{"info":"≤/⪎⋱⫍14A3=⪎⋱⫍-11C0","layer":3},{"info":"NaN⋓⪎⋱⫍-11C0=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍797↪⪝=⪎⋱⫍1374A3C2","layer":3},{"info":"⨑⩽⪐⪎⋱⫍1374A3C2=⪎⋱⫍-1374A242","layer":2},{"info":"⪎⋱⫍0⨐⩸⫘⪎⋱⫍-1374A242=NaN","layer":1},{"info":"NaN%NaN=NaN","layer":0}]}
{"id":323,"expression_no_base_symbol":"(($4751$*$2164$∲⫓($3354$⫡⨏$1415$))⊭↱($1032$⪠⩆⊳)⨐⩸⫘(⨰⫟⨤$4136$))⪮%⊝(((-$5649$)⋓($1267$⪄$2991$))∀⇚≩(($1012$⫥∨⫟$5181$)≎⊠⪸$1970$⨓$2356$))","expression":"((⪎⋱⫍2216*⪎⋱⫍CA6∲⫓(⪎⋱⫍16B0⫡⨏⪎⋱⫍84B))⊭↱(⪎⋱⫍615⪠⩆⊳)⨐⩸⫘(⨰⫟⨤⪎⋱⫍1B62))⪮%⊝(((-⪎⋱⫍2757)⋓(⪎⋱⫍766⪄⪎⋱⫍1491))∀⇚≩((⪎⋱⫍5CB⫥∨⫟⪎⋱⫍2487)≎⊠⪸⪎⋱⫍B87⨓⪎⋱⫍10C3))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":20536,"operation_count":15,"complexity_ratio":1369.0666666666666,"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":4751,"base":13},"right_expr":{"type":"numeric_atoms","value":2164,"base":13}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":3354,"base":13},"right_expr":{"type":"numeric_atoms","value":1415,"base":13}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":1032,"base":13}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":4136,"base":13}}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":5649,"base":13}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1267,"base":13},"right_expr":{"type":"numeric_atoms","value":2991,"base":13}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1012,"base":13},"right_expr":{"type":"numeric_atoms","value":5181,"base":13}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1970,"base":13},"right_expr":{"type":"numeric_atoms","value":2356,"base":13}}}}},"used_operators":["IWmyXbctLI","COABgblf1C","i8ToyICDmI","9HNa5Wba9A","QMFrweE19q","fu6greOZ01","JLbD19bQDL","Tw270M8GLb","LRNGc0VcxI","T2fj7uvVaJ","t8gj7n24qd","SUmda5xLS4","bJkvcejdHO","KYD54nUTWz","3ViojmjbAp"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","X99M06cbEe","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","8HhzD0ZcuI","rGHVDoGpnC","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4751","layer":4},{"info":"number node, value=2164","layer":4},{"info":"compute binary expreesion, left_input=4751, right_input=2164, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=10281164","layer":3},{"info":"number node, value=3354","layer":4},{"info":"number node, value=1415","layer":4},{"info":"compute binary expreesion, left_input=3354, right_input=1415, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=20383","layer":3},{"info":"compute binary expreesion, left_input=10281164, right_input=20383, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"number node, value=1032","layer":4},{"info":"compute unary expreesion, input=1032, 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=4136","layer":4},{"info":"compute unary expreesion, input=4136, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"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=5649","layer":4},{"info":"compute unary expreesion, input=5649, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-5649","layer":3},{"info":"number node, value=1267","layer":4},{"info":"number node, value=2991","layer":4},{"info":"compute binary expreesion, left_input=1267, right_input=2991, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-195569","layer":3},{"info":"compute binary expreesion, left_input=-5649, right_input=-195569, op_id = T2fj7uvVaJ binary_op_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=1012","layer":4},{"info":"number node, value=5181","layer":4},{"info":"compute binary expreesion, left_input=1012, right_input=5181, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=1970","layer":4},{"info":"number node, value=2356","layer":4},{"info":"compute binary expreesion, left_input=1970, right_input=2356, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2359","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-2359, 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=0, 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=67","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍2216*⪎⋱⫍CA6∲⫓(⪎⋱⫍16B0⫡⨏⪎⋱⫍84B))⊭↱(⪎⋱⫍615⪠⩆⊳)⨐⩸⫘(⨰⫟⨤⪎⋱⫍1B62))⪮%⊝(((-⪎⋱⫍2757)⋓(⪎⋱⫍766⪄⪎⋱⫍1491))∀⇚≩((⪎⋱⫍5CB⫥∨⫟⪎⋱⫍2487)≎⊠⪸⪎⋱⫍B87⨓⪎⋱⫍10C3))=NaN","reverse_text":"NaN=((⪎⋱⫍2216*⪎⋱⫍CA6∲⫓(⪎⋱⫍16B0⫡⨏⪎⋱⫍84B))⊭↱(⪎⋱⫍615⪠⩆⊳)⨐⩸⫘(⨰⫟⨤⪎⋱⫍1B62))⪮%⊝(((-⪎⋱⫍2757)⋓(⪎⋱⫍766⪄⪎⋱⫍1491))∀⇚≩((⪎⋱⫍5CB⫥∨⫟⪎⋱⫍2487)≎⊠⪸⪎⋱⫍B87⨓⪎⋱⫍10C3))","cot":[{"info":"⪎⋱⫍2216*⪎⋱⫍CA6=⪎⋱⫍218C83A","layer":3},{"info":"⪎⋱⫍16B0⫡⨏⪎⋱⫍84B=⪎⋱⫍937C","layer":3},{"info":"⪎⋱⫍218C83A∲⫓⪎⋱⫍937C=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍615⪠⩆⊳=⪎⋱⫍0","layer":3},{"info":"⨰⫟⨤⪎⋱⫍1B62=NaN","layer":3},{"info":"⪎⋱⫍0⨐⩸⫘NaN=NaN","layer":2},{"info":"⪎⋱⫍0⊭↱NaN=NaN","layer":1},{"info":"-⪎⋱⫍2757=⪎⋱⫍-2757","layer":3},{"info":"⪎⋱⫍766⪄⪎⋱⫍1491=⪎⋱⫍-6B02A","layer":3},{"info":"⪎⋱⫍-2757⋓⪎⋱⫍-6B02A=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍5CB⫥∨⫟⪎⋱⫍2487=NaN","layer":3},{"info":"⪎⋱⫍B87⨓⪎⋱⫍10C3=⪎⋱⫍-10C6","layer":3},{"info":"NaN≎⊠⪸⪎⋱⫍-10C6=⪎⋱⫍52","layer":2},{"info":"⪎⋱⫍0∀⇚≩⪎⋱⫍52=⪎⋱⫍52","layer":1},{"info":"NaN⪮%⊝⪎⋱⫍52=NaN","layer":0}]}
{"id":324,"expression_no_base_symbol":"⪝⪂⫅(↽≂(($3038$≣⋋)⋷($4704$⊭∹↮)))","expression":"⪝⪂⫅(↽≂((⪎⋱⫍14C9≣⋋)⋷(⪎⋱⫍21AB⊭∹↮)))","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":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":3038,"base":13}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":4704,"base":13}}}}},"used_operators":["XTarYq4gQB","u6S6b8DprG","23Mk6UjR3U","Tcnh7f0tEr","xNBdhnnwKq"],"dependent_operators":["9HNa5Wba9A","8w2t5hMYqp","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=3038","layer":4},{"info":"compute unary expreesion, input=3038, 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=4704","layer":4},{"info":"compute unary expreesion, input=4704, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=9408","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=9408, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=0","layer":0}],"base":13,"result_base":13,"text":"⪝⪂⫅(↽≂((⪎⋱⫍14C9≣⋋)⋷(⪎⋱⫍21AB⊭∹↮)))=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=⪝⪂⫅(↽≂((⪎⋱⫍14C9≣⋋)⋷(⪎⋱⫍21AB⊭∹↮)))","cot":[{"info":"⪎⋱⫍14C9≣⋋=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍21AB⊭∹↮=⪎⋱⫍4389","layer":3},{"info":"⪎⋱⫍0⋷⪎⋱⫍4389=⪎⋱⫍0","layer":2},{"info":"↽≂⪎⋱⫍0=⪎⋱⫍0","layer":1},{"info":"⪝⪂⫅⪎⋱⫍0=⪎⋱⫍0","layer":0}]}
{"id":325,"expression_no_base_symbol":"((($3831$-$2656$)⩚⊴⇥($1786$⨐⩸⫘$2469$))⋝⋈⪟($5514$⪨≂$2941$)∑⇟⊟($4418$⪄$2878$))⊪","expression":"(((⪎⋱⫍1989-⪎⋱⫍1294)⩚⊴⇥(⪎⋱⫍A75⨐⩸⫘⪎⋱⫍117C))⋝⋈⪟(⪎⋱⫍2682⪨≂⪎⋱⫍1453)∑⇟⊟(⪎⋱⫍201B⪄⪎⋱⫍1405))⊪","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":122,"operation_count":8,"complexity_ratio":15.25,"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":3831,"base":13},"right_expr":{"type":"numeric_atoms","value":2656,"base":13}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1786,"base":13},"right_expr":{"type":"numeric_atoms","value":2469,"base":13}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":5514,"base":13},"right_expr":{"type":"numeric_atoms","value":2941,"base":13}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":4418,"base":13},"right_expr":{"type":"numeric_atoms","value":2878,"base":13}}}}},"used_operators":["zVYPLywUTj","2DDjHMKMc0","NTOWxs364D","rysDP5nf3Z","fu6greOZ01","U7g4x0WXJJ","sdazOOVcIp","SUmda5xLS4"],"dependent_operators":["sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","3ViojmjbAp","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3831","layer":4},{"info":"number node, value=2656","layer":4},{"info":"compute binary expreesion, left_input=3831, right_input=2656, op_id = rysDP5nf3Z binary_op_definition= 'None', output=1175","layer":3},{"info":"number node, value=1786","layer":4},{"info":"number node, value=2469","layer":4},{"info":"compute binary expreesion, left_input=1786, right_input=2469, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1175, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":2},{"info":"number node, value=5514","layer":4},{"info":"number node, value=2941","layer":4},{"info":"compute binary expreesion, left_input=5514, right_input=2941, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=5248","layer":3},{"info":"number node, value=4418","layer":4},{"info":"number node, value=2878","layer":4},{"info":"compute binary expreesion, left_input=4418, right_input=2878, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-661465","layer":3},{"info":"compute binary expreesion, left_input=5248, right_input=-661465, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":1},{"info":"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":13,"result_base":13,"text":"(((⪎⋱⫍1989-⪎⋱⫍1294)⩚⊴⇥(⪎⋱⫍A75⨐⩸⫘⪎⋱⫍117C))⋝⋈⪟(⪎⋱⫍2682⪨≂⪎⋱⫍1453)∑⇟⊟(⪎⋱⫍201B⪄⪎⋱⫍1405))⊪=NaN","reverse_text":"NaN=(((⪎⋱⫍1989-⪎⋱⫍1294)⩚⊴⇥(⪎⋱⫍A75⨐⩸⫘⪎⋱⫍117C))⋝⋈⪟(⪎⋱⫍2682⪨≂⪎⋱⫍1453)∑⇟⊟(⪎⋱⫍201B⪄⪎⋱⫍1405))⊪","cot":[{"info":"⪎⋱⫍1989-⪎⋱⫍1294=⪎⋱⫍6C5","layer":3},{"info":"⪎⋱⫍A75⨐⩸⫘⪎⋱⫍117C=NaN","layer":3},{"info":"⪎⋱⫍6C5⩚⊴⇥NaN=NaN","layer":2},{"info":"⪎⋱⫍2682⪨≂⪎⋱⫍1453=⪎⋱⫍2509","layer":3},{"info":"⪎⋱⫍201B⪄⪎⋱⫍1405=⪎⋱⫍-1A20CC","layer":3},{"info":"⪎⋱⫍2509∑⇟⊟⪎⋱⫍-1A20CC=NaN","layer":2},{"info":"NaN⋝⋈⪟NaN=NaN","layer":1},{"info":"NaN⊪=NaN","layer":0}]}
{"id":326,"expression_no_base_symbol":"($1670$⇷$5130$⋷(⫓⪴$9258$))⨟⋌⩍(($1722$⨎$1487$)∀⇚≩($3849$⊭∹↮))+⇶⊼(↽≂($1472$⨵⪆$2494$))∼($1181$⨽$2019$/(⊥$1116$))","expression":"(⪎⋱⫍9B6⇷⪎⋱⫍2448⋷(⫓⪴⪎⋱⫍42A2))⨟⋌⩍((⪎⋱⫍A26⨎⪎⋱⫍8A5)∀⇚≩(⪎⋱⫍19A1⊭∹↮))+⇶⊼(↽≂(⪎⋱⫍893⨵⪆⪎⋱⫍119B))∼(⪎⋱⫍6CB⨽⪎⋱⫍BC4/(⊥⪎⋱⫍67B))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":44269,"operation_count":14,"complexity_ratio":3162.0714285714284,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1670,"base":13},"right_expr":{"type":"numeric_atoms","value":5130,"base":13}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":9258,"base":13}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1722,"base":13},"right_expr":{"type":"numeric_atoms","value":1487,"base":13}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":3849,"base":13}}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1472,"base":13},"right_expr":{"type":"numeric_atoms","value":2494,"base":13}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1181,"base":13},"right_expr":{"type":"numeric_atoms","value":2019,"base":13}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":1116,"base":13}}}}},"used_operators":["TpPTUOHfaN","rGHVDoGpnC","23Mk6UjR3U","mp7IySMOzn","eLxqMNBOBk","LRNGc0VcxI","rJVOvQCfKK","xNBdhnnwKq","DyGG3AbaNP","u6S6b8DprG","2DQ55sFlQl","XhwjNDsVaA","8HhzD0ZcuI","Q3PJZHRvZv"],"dependent_operators":["AHs5Up7iyr","Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","9HNa5Wba9A","X99M06cbEe","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","fu6greOZ01"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1670","layer":4},{"info":"number node, value=5130","layer":4},{"info":"compute binary expreesion, left_input=1670, right_input=5130, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=10260","layer":3},{"info":"number node, value=9258","layer":4},{"info":"compute unary expreesion, input=9258, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=85710564","layer":3},{"info":"compute binary expreesion, left_input=10260, right_input=85710564, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=171410868","layer":2},{"info":"number node, value=1722","layer":4},{"info":"number node, value=1487","layer":4},{"info":"compute binary expreesion, left_input=1722, right_input=1487, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1487","layer":3},{"info":"number node, value=3849","layer":4},{"info":"compute unary expreesion, input=3849, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=7698","layer":3},{"info":"compute binary expreesion, left_input=1487, right_input=7698, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=171410868, 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=1472","layer":4},{"info":"number node, value=2494","layer":4},{"info":"compute binary expreesion, left_input=1472, right_input=2494, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-320","layer":2},{"info":"number node, value=1181","layer":4},{"info":"number node, value=2019","layer":4},{"info":"compute binary expreesion, left_input=1181, right_input=2019, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-4189026","layer":3},{"info":"number node, value=1116","layer":4},{"info":"compute unary expreesion, input=1116, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-4189026, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-320, right_input=nan, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":1},{"info":"compute 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":13,"result_base":13,"text":"(⪎⋱⫍9B6⇷⪎⋱⫍2448⋷(⫓⪴⪎⋱⫍42A2))⨟⋌⩍((⪎⋱⫍A26⨎⪎⋱⫍8A5)∀⇚≩(⪎⋱⫍19A1⊭∹↮))+⇶⊼(↽≂(⪎⋱⫍893⨵⪆⪎⋱⫍119B))∼(⪎⋱⫍6CB⨽⪎⋱⫍BC4/(⊥⪎⋱⫍67B))=NaN","reverse_text":"NaN=(⪎⋱⫍9B6⇷⪎⋱⫍2448⋷(⫓⪴⪎⋱⫍42A2))⨟⋌⩍((⪎⋱⫍A26⨎⪎⋱⫍8A5)∀⇚≩(⪎⋱⫍19A1⊭∹↮))+⇶⊼(↽≂(⪎⋱⫍893⨵⪆⪎⋱⫍119B))∼(⪎⋱⫍6CB⨽⪎⋱⫍BC4/(⊥⪎⋱⫍67B))","cot":[{"info":"⪎⋱⫍9B6⇷⪎⋱⫍2448=⪎⋱⫍4893","layer":3},{"info":"⫓⪴⪎⋱⫍42A2=⪎⋱⫍149AC714","layer":3},{"info":"⪎⋱⫍4893⋷⪎⋱⫍149AC714=⪎⋱⫍29687565","layer":2},{"info":"⪎⋱⫍A26⨎⪎⋱⫍8A5=⪎⋱⫍8A5","layer":3},{"info":"⪎⋱⫍19A1⊭∹↮=⪎⋱⫍3672","layer":3},{"info":"⪎⋱⫍8A5∀⇚≩⪎⋱⫍3672=NaN","layer":2},{"info":"⪎⋱⫍29687565⨟⋌⩍NaN=NaN","layer":1},{"info":"⪎⋱⫍893⨵⪆⪎⋱⫍119B=⪎⋱⫍C4","layer":3},{"info":"↽≂⪎⋱⫍C4=⪎⋱⫍-1B8","layer":2},{"info":"⪎⋱⫍6CB⨽⪎⋱⫍BC4=⪎⋱⫍-B3891A","layer":3},{"info":"⊥⪎⋱⫍67B=NaN","layer":3},{"info":"⪎⋱⫍-B3891A/NaN=NaN","layer":2},{"info":"⪎⋱⫍-1B8∼NaN=NaN","layer":1},{"info":"NaN+⇶⊼NaN=NaN","layer":0}]}
{"id":327,"expression_no_base_symbol":"(((⇁⨣⪵$1703$)↙(≉$3613$))↬(⋗⩬⋾(⨵≀≌$2082$)))⨟⋌⩍((↯⪼($4236$∀⇚≩$2073$))≫≃)","expression":"(((⇁⨣⪵⪎⋱⫍A10)↙(≉⪎⋱⫍184C))↬(⋗⩬⋾(⨵≀≌⪎⋱⫍C42)))⨟⋌⩍((↯⪼(⪎⋱⫍1C0B∀⇚≩⪎⋱⫍C36))≫≃)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":29702,"operation_count":10,"complexity_ratio":2970.2,"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":1703,"base":13}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":3613,"base":13}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":2082,"base":13}}}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":4236,"base":13},"right_expr":{"type":"numeric_atoms","value":2073,"base":13}}}}},"used_operators":["rGHVDoGpnC","B5M0gjZbta","yyfyN0ffXY","inkyxCbjAn","e1ybzncUwg","DpFCA1CohY","srAu1WTS94","X99M06cbEe","8jW3W4yZS5","LRNGc0VcxI"],"dependent_operators":["Tcnh7f0tEr","rGHVDoGpnC","tmPS8pqC7x","DpFCA1CohY","B5M0gjZbta","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1703","layer":4},{"info":"compute unary expreesion, input=1703, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=3613","layer":4},{"info":"compute unary expreesion, input=3613, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=4144","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4144, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":2},{"info":"number node, value=2082","layer":4},{"info":"compute unary expreesion, input=2082, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-6246","layer":3},{"info":"compute unary expreesion, input=-6246, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=18738","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=18738, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=4236","layer":4},{"info":"number node, value=2073","layer":4},{"info":"compute binary expreesion, left_input=4236, right_input=2073, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = 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 = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=1359","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1359, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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":13,"result_base":13,"text":"(((⇁⨣⪵⪎⋱⫍A10)↙(≉⪎⋱⫍184C))↬(⋗⩬⋾(⨵≀≌⪎⋱⫍C42)))⨟⋌⩍((↯⪼(⪎⋱⫍1C0B∀⇚≩⪎⋱⫍C36))≫≃)=NaN","reverse_text":"NaN=(((⇁⨣⪵⪎⋱⫍A10)↙(≉⪎⋱⫍184C))↬(⋗⩬⋾(⨵≀≌⪎⋱⫍C42)))⨟⋌⩍((↯⪼(⪎⋱⫍1C0B∀⇚≩⪎⋱⫍C36))≫≃)","cot":[{"info":"⇁⨣⪵⪎⋱⫍A10=NaN","layer":3},{"info":"≉⪎⋱⫍184C=⪎⋱⫍1B6A","layer":3},{"info":"NaN↙⪎⋱⫍1B6A=NaN","layer":2},{"info":"⨵≀≌⪎⋱⫍C42=⪎⋱⫍-2AC6","layer":3},{"info":"⋗⩬⋾⪎⋱⫍-2AC6=⪎⋱⫍86B5","layer":2},{"info":"NaN↬⪎⋱⫍86B5=NaN","layer":1},{"info":"⪎⋱⫍1C0B∀⇚≩⪎⋱⫍C36=NaN","layer":3},{"info":"↯⪼NaN=⪎⋱⫍-18","layer":2},{"info":"⪎⋱⫍-18≫≃=⪎⋱⫍807","layer":1},{"info":"NaN⨟⋌⩍⪎⋱⫍807=NaN","layer":0}]}
{"id":328,"expression_no_base_symbol":"(($3196$⨁⊸⫻)∲⫓($6970$⫩⊇))⨎(⊥(⨈⫕$2657$))+(($2515$⫩⊇)⫥∨⫟$1112$⨪↰⇹$2304$/($1625$⊪)⪒$5456$↺$1564$)","expression":"((⪎⋱⫍15BB⨁⊸⫻)∲⫓(⪎⋱⫍3232⫩⊇))⨎(⊥(⨈⫕⪎⋱⫍1295))+((⪎⋱⫍11B6⫩⊇)⫥∨⫟⪎⋱⫍677⨪↰⇹⪎⋱⫍1083/(⪎⋱⫍980⊪)⪒⪎⋱⫍2639↺⪎⋱⫍934)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2266,"operation_count":14,"complexity_ratio":161.85714285714286,"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":3196,"base":13}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":6970,"base":13}}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":2657,"base":13}}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":2515,"base":13}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1112,"base":13},"right_expr":{"type":"numeric_atoms","value":2304,"base":13}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":1625,"base":13}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":5456,"base":13},"right_expr":{"type":"numeric_atoms","value":1564,"base":13}}}}},"used_operators":["W4YGzv6Whe","rJVOvQCfKK","i8ToyICDmI","glklzrTFfD","BjRHVeLaeN","Q3PJZHRvZv","megm06wKyl","XhwjNDsVaA","KYD54nUTWz","tmPS8pqC7x","f6k1SAg4EE","zVYPLywUTj","7j4O788W3g"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","fu6greOZ01","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","8HhzD0ZcuI","rGHVDoGpnC","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3196","layer":4},{"info":"compute unary expreesion, input=3196, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=3196","layer":3},{"info":"number node, value=6970","layer":4},{"info":"compute unary expreesion, input=6970, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-6928","layer":3},{"info":"compute binary expreesion, left_input=3196, right_input=-6928, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=3196","layer":2},{"info":"number node, value=2657","layer":4},{"info":"compute unary expreesion, input=2657, 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 = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=24","layer":2},{"info":"compute binary expreesion, left_input=3196, right_input=24, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=24","layer":1},{"info":"number node, value=2515","layer":4},{"info":"compute unary expreesion, input=2515, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-2473","layer":3},{"info":"number node, value=1112","layer":4},{"info":"number node, value=2304","layer":4},{"info":"compute binary expreesion, left_input=1112, right_input=2304, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1112","layer":3},{"info":"compute binary expreesion, left_input=-2473, right_input=1112, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=1625","layer":4},{"info":"compute unary expreesion, input=1625, 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=5456","layer":4},{"info":"number node, value=1564","layer":4},{"info":"compute binary expreesion, left_input=5456, right_input=1564, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1564","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1564, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-1564","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1564, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=24, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍15BB⨁⊸⫻)∲⫓(⪎⋱⫍3232⫩⊇))⨎(⊥(⨈⫕⪎⋱⫍1295))+((⪎⋱⫍11B6⫩⊇)⫥∨⫟⪎⋱⫍677⨪↰⇹⪎⋱⫍1083/(⪎⋱⫍980⊪)⪒⪎⋱⫍2639↺⪎⋱⫍934)=NaN","reverse_text":"NaN=((⪎⋱⫍15BB⨁⊸⫻)∲⫓(⪎⋱⫍3232⫩⊇))⨎(⊥(⨈⫕⪎⋱⫍1295))+((⪎⋱⫍11B6⫩⊇)⫥∨⫟⪎⋱⫍677⨪↰⇹⪎⋱⫍1083/(⪎⋱⫍980⊪)⪒⪎⋱⫍2639↺⪎⋱⫍934)","cot":[{"info":"⪎⋱⫍15BB⨁⊸⫻=⪎⋱⫍15BB","layer":3},{"info":"⪎⋱⫍3232⫩⊇=⪎⋱⫍-31CC","layer":3},{"info":"⪎⋱⫍15BB∲⫓⪎⋱⫍-31CC=⪎⋱⫍15BB","layer":2},{"info":"⨈⫕⪎⋱⫍1295=⪎⋱⫍-18","layer":3},{"info":"⊥⪎⋱⫍-18=⪎⋱⫍1B","layer":2},{"info":"⪎⋱⫍15BB⨎⪎⋱⫍1B=⪎⋱⫍1B","layer":1},{"info":"⪎⋱⫍11B6⫩⊇=⪎⋱⫍-1183","layer":3},{"info":"⪎⋱⫍677⨪↰⇹⪎⋱⫍1083=⪎⋱⫍677","layer":3},{"info":"⪎⋱⫍-1183⫥∨⫟⪎⋱⫍677=NaN","layer":2},{"info":"⪎⋱⫍980⊪=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍2639↺⪎⋱⫍934=⪎⋱⫍934","layer":3},{"info":"⪎⋱⫍0⪒⪎⋱⫍934=⪎⋱⫍-934","layer":2},{"info":"NaN/⪎⋱⫍-934=NaN","layer":1},{"info":"⪎⋱⫍1B+NaN=NaN","layer":0}]}
{"id":329,"expression_no_base_symbol":"(-$1850$∀⇚≩$2521$≧⫂∧$1233$⪢$1856$)⫸⊐($1120$∑⇟⊟$1241$)⨟⋌⩍($2405$⪠⩆⊳)⨰($1264$∼$1239$+⇶⊼$2315$⨟⋌⩍$1136$)","expression":"(-⪎⋱⫍AC4∀⇚≩⪎⋱⫍11BC≧⫂∧⪎⋱⫍73B⪢⪎⋱⫍ACA)⫸⊐(⪎⋱⫍682∑⇟⊟⪎⋱⫍746)⨟⋌⩍(⪎⋱⫍1130⪠⩆⊳)⨰(⪎⋱⫍763∼⪎⋱⫍744+⇶⊼⪎⋱⫍1091⨟⋌⩍⪎⋱⫍695)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":14854,"operation_count":12,"complexity_ratio":1237.8333333333333,"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":1850,"base":13},"right_expr":{"type":"numeric_atoms","value":2521,"base":13}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1233,"base":13},"right_expr":{"type":"numeric_atoms","value":1856,"base":13}}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1120,"base":13},"right_expr":{"type":"numeric_atoms","value":1241,"base":13}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":2405,"base":13}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1264,"base":13},"right_expr":{"type":"numeric_atoms","value":1239,"base":13}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2315,"base":13},"right_expr":{"type":"numeric_atoms","value":1136,"base":13}}}}},"used_operators":["mqXw5SEYmG","t8gj7n24qd","Ph9nP6C5qx","LRNGc0VcxI","dWAJyo7jo9","eewbuw0ToL","rGHVDoGpnC","U7g4x0WXJJ","JLbD19bQDL","TpPTUOHfaN","DyGG3AbaNP"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1850","layer":4},{"info":"number node, value=2521","layer":4},{"info":"compute binary expreesion, left_input=1850, right_input=2521, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=1233","layer":4},{"info":"number node, value=1856","layer":4},{"info":"compute binary expreesion, left_input=1233, right_input=1856, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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":"compute unary expreesion, input=nan, op_id = t8gj7n24qd, unary_op_definition = 'None', output=nan","layer":1},{"info":"number node, value=1120","layer":4},{"info":"number node, value=1241","layer":4},{"info":"compute binary expreesion, left_input=1120, right_input=1241, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=2405","layer":4},{"info":"compute unary expreesion, input=2405, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"number node, value=1264","layer":4},{"info":"number node, value=1239","layer":4},{"info":"compute binary expreesion, left_input=1264, right_input=1239, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"number node, value=2315","layer":4},{"info":"number node, value=1136","layer":4},{"info":"compute binary expreesion, left_input=2315, right_input=1136, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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 = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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 = 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 = 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":13,"result_base":13,"text":"(-⪎⋱⫍AC4∀⇚≩⪎⋱⫍11BC≧⫂∧⪎⋱⫍73B⪢⪎⋱⫍ACA)⫸⊐(⪎⋱⫍682∑⇟⊟⪎⋱⫍746)⨟⋌⩍(⪎⋱⫍1130⪠⩆⊳)⨰(⪎⋱⫍763∼⪎⋱⫍744+⇶⊼⪎⋱⫍1091⨟⋌⩍⪎⋱⫍695)=NaN","reverse_text":"NaN=(-⪎⋱⫍AC4∀⇚≩⪎⋱⫍11BC≧⫂∧⪎⋱⫍73B⪢⪎⋱⫍ACA)⫸⊐(⪎⋱⫍682∑⇟⊟⪎⋱⫍746)⨟⋌⩍(⪎⋱⫍1130⪠⩆⊳)⨰(⪎⋱⫍763∼⪎⋱⫍744+⇶⊼⪎⋱⫍1091⨟⋌⩍⪎⋱⫍695)","cot":[{"info":"⪎⋱⫍AC4∀⇚≩⪎⋱⫍11BC=NaN","layer":3},{"info":"⪎⋱⫍73B⪢⪎⋱⫍ACA=NaN","layer":3},{"info":"NaN≧⫂∧NaN=NaN","layer":2},{"info":"-NaN=NaN","layer":1},{"info":"⪎⋱⫍682∑⇟⊟⪎⋱⫍746=NaN","layer":3},{"info":"⪎⋱⫍1130⪠⩆⊳=⪎⋱⫍0","layer":3},{"info":"NaN⨟⋌⩍⪎⋱⫍0=NaN","layer":2},{"info":"⪎⋱⫍763∼⪎⋱⫍744=NaN","layer":3},{"info":"⪎⋱⫍1091⨟⋌⩍⪎⋱⫍695=NaN","layer":3},{"info":"NaN+⇶⊼NaN=NaN","layer":2},{"info":"NaN⨰NaN=NaN","layer":1},{"info":"NaN⫸⊐NaN=NaN","layer":0}]}
{"id":330,"expression_no_base_symbol":"($5757$/$1369$)⪮%⊝($1698$⪄$2142$)⩷∴((⩦⩻⨪$1915$)⨰(+⊝⨔$1607$))⋥≓≎(↽≂($1735$∲⫓$2440$))⪢($3191$⨪↰⇹$2643$⪨≂$4153$⫥∨⫟$1074$)","expression":"(⪎⋱⫍280B/⪎⋱⫍814)⪮%⊝(⪎⋱⫍A08⪄⪎⋱⫍C8A)⩷∴((⩦⩻⨪⪎⋱⫍B44)⨰(+⊝⨔⪎⋱⫍968))⋥≓≎(↽≂(⪎⋱⫍A36∲⫓⪎⋱⫍1159))⪢(⪎⋱⫍15B6⨪↰⇹⪎⋱⫍1284⪨≂⪎⋱⫍1B76⫥∨⫟⪎⋱⫍648)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3523,"operation_count":14,"complexity_ratio":251.64285714285714,"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":5757,"base":13},"right_expr":{"type":"numeric_atoms","value":1369,"base":13}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1698,"base":13},"right_expr":{"type":"numeric_atoms","value":2142,"base":13}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":1915,"base":13}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":1607,"base":13}}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1735,"base":13},"right_expr":{"type":"numeric_atoms","value":2440,"base":13}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":3191,"base":13},"right_expr":{"type":"numeric_atoms","value":2643,"base":13}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":4153,"base":13},"right_expr":{"type":"numeric_atoms","value":1074,"base":13}}}}},"used_operators":["Qy55tPpLXF","9FxExcQeMw","IWmyXbctLI","XhwjNDsVaA","SUmda5xLS4","eewbuw0ToL","2td37pGCOC","DhbWaqg5eL","dWAJyo7jo9","u6S6b8DprG","i8ToyICDmI","sdazOOVcIp","tmPS8pqC7x","KYD54nUTWz"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5757","layer":4},{"info":"number node, value=1369","layer":4},{"info":"compute binary expreesion, left_input=5757, right_input=1369, op_id = XhwjNDsVaA binary_op_definition= 'None', output=4","layer":3},{"info":"number node, value=1698","layer":4},{"info":"number node, value=2142","layer":4},{"info":"compute binary expreesion, left_input=1698, right_input=2142, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-255961","layer":3},{"info":"compute binary expreesion, left_input=4, right_input=-255961, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=324","layer":2},{"info":"number node, value=1915","layer":4},{"info":"compute unary expreesion, input=1915, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1915","layer":3},{"info":"number node, value=1607","layer":4},{"info":"compute unary expreesion, input=1607, 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=1915, right_input=1522, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=403","layer":2},{"info":"compute binary expreesion, left_input=324, right_input=403, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-190","layer":1},{"info":"number node, value=1735","layer":4},{"info":"number node, value=2440","layer":4},{"info":"compute binary expreesion, left_input=1735, right_input=2440, 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=3191","layer":4},{"info":"number node, value=2643","layer":4},{"info":"compute binary expreesion, left_input=3191, right_input=2643, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=3191","layer":3},{"info":"number node, value=4153","layer":4},{"info":"number node, value=1074","layer":4},{"info":"compute binary expreesion, left_input=4153, right_input=1074, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3191, 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=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":1},{"info":"compute binary expreesion, left_input=-190, 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":13,"result_base":13,"text":"(⪎⋱⫍280B/⪎⋱⫍814)⪮%⊝(⪎⋱⫍A08⪄⪎⋱⫍C8A)⩷∴((⩦⩻⨪⪎⋱⫍B44)⨰(+⊝⨔⪎⋱⫍968))⋥≓≎(↽≂(⪎⋱⫍A36∲⫓⪎⋱⫍1159))⪢(⪎⋱⫍15B6⨪↰⇹⪎⋱⫍1284⪨≂⪎⋱⫍1B76⫥∨⫟⪎⋱⫍648)=NaN","reverse_text":"NaN=(⪎⋱⫍280B/⪎⋱⫍814)⪮%⊝(⪎⋱⫍A08⪄⪎⋱⫍C8A)⩷∴((⩦⩻⨪⪎⋱⫍B44)⨰(+⊝⨔⪎⋱⫍968))⋥≓≎(↽≂(⪎⋱⫍A36∲⫓⪎⋱⫍1159))⪢(⪎⋱⫍15B6⨪↰⇹⪎⋱⫍1284⪨≂⪎⋱⫍1B76⫥∨⫟⪎⋱⫍648)","cot":[{"info":"⪎⋱⫍280B/⪎⋱⫍814=⪎⋱⫍4","layer":3},{"info":"⪎⋱⫍A08⪄⪎⋱⫍C8A=⪎⋱⫍-8C674","layer":3},{"info":"⪎⋱⫍4⪮%⊝⪎⋱⫍-8C674=⪎⋱⫍1BC","layer":2},{"info":"⩦⩻⨪⪎⋱⫍B44=⪎⋱⫍B44","layer":3},{"info":"+⊝⨔⪎⋱⫍968=⪎⋱⫍901","layer":3},{"info":"⪎⋱⫍B44⨰⪎⋱⫍901=⪎⋱⫍250","layer":2},{"info":"⪎⋱⫍1BC⩷∴⪎⋱⫍250=⪎⋱⫍-118","layer":1},{"info":"⪎⋱⫍A36∲⫓⪎⋱⫍1159=⪎⋱⫍0","layer":3},{"info":"↽≂⪎⋱⫍0=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍15B6⨪↰⇹⪎⋱⫍1284=⪎⋱⫍15B6","layer":3},{"info":"⪎⋱⫍1B76⫥∨⫟⪎⋱⫍648=NaN","layer":3},{"info":"⪎⋱⫍15B6⪨≂NaN=NaN","layer":2},{"info":"⪎⋱⫍0⪢NaN=NaN","layer":1},{"info":"⪎⋱⫍-118⋥≓≎NaN=NaN","layer":0}]}
{"id":331,"expression_no_base_symbol":"((↽≂$4163$)⨪↰⇹($3961$+$1906$)+(↯⪼($2165$⩚⊴⇥$4989$)))⪢(-($3348$⊉≛↸$3515$⨵⪆$1043$⨟⋌⩍$7728$))","expression":"((↽≂⪎⋱⫍1B83)⨪↰⇹(⪎⋱⫍1A59+⪎⋱⫍B38)+(↯⪼(⪎⋱⫍CA7⩚⊴⇥⪎⋱⫍236A)))⪢(-(⪎⋱⫍16A7⊉≛↸⪎⋱⫍17A5⨵⪆⪎⋱⫍623⨟⋌⩍⪎⋱⫍3696))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":11332,"operation_count":11,"complexity_ratio":1030.1818181818182,"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":4163,"base":13}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":3961,"base":13},"right_expr":{"type":"numeric_atoms","value":1906,"base":13}}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2165,"base":13},"right_expr":{"type":"numeric_atoms","value":4989,"base":13}}}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":3348,"base":13},"right_expr":{"type":"numeric_atoms","value":3515,"base":13}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1043,"base":13},"right_expr":{"type":"numeric_atoms","value":7728,"base":13}}}}},"used_operators":["dWAJyo7jo9","W4YGzv6Whe","tmPS8pqC7x","u6S6b8DprG","8jW3W4yZS5","NTOWxs364D","t8gj7n24qd","2DQ55sFlQl","DZ8iAZOCBD","rGHVDoGpnC"],"dependent_operators":["k8jYdgA6NY","rJVOvQCfKK","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4163","layer":4},{"info":"compute unary expreesion, input=4163, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-8326","layer":3},{"info":"number node, value=3961","layer":4},{"info":"number node, value=1906","layer":4},{"info":"compute binary expreesion, left_input=3961, right_input=1906, op_id = W4YGzv6Whe binary_op_definition= 'None', output=5867","layer":3},{"info":"compute binary expreesion, left_input=-8326, right_input=5867, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=-8326","layer":2},{"info":"number node, value=2165","layer":4},{"info":"number node, value=4989","layer":4},{"info":"compute binary expreesion, left_input=2165, right_input=4989, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-7275","layer":3},{"info":"compute unary expreesion, input=-7275, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=13633","layer":2},{"info":"compute binary expreesion, left_input=-8326, right_input=13633, op_id = W4YGzv6Whe binary_op_definition= 'None', output=5307","layer":1},{"info":"number node, value=3348","layer":4},{"info":"number node, value=3515","layer":4},{"info":"compute binary expreesion, left_input=3348, right_input=3515, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=6696","layer":3},{"info":"number node, value=1043","layer":4},{"info":"number node, value=7728","layer":4},{"info":"compute binary expreesion, left_input=1043, right_input=7728, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=6696, 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 = t8gj7n24qd, unary_op_definition = 'None', output=-160","layer":1},{"info":"compute binary expreesion, left_input=5307, right_input=-160, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":0}],"base":13,"result_base":13,"text":"((↽≂⪎⋱⫍1B83)⨪↰⇹(⪎⋱⫍1A59+⪎⋱⫍B38)+(↯⪼(⪎⋱⫍CA7⩚⊴⇥⪎⋱⫍236A)))⪢(-(⪎⋱⫍16A7⊉≛↸⪎⋱⫍17A5⨵⪆⪎⋱⫍623⨟⋌⩍⪎⋱⫍3696))=NaN","reverse_text":"NaN=((↽≂⪎⋱⫍1B83)⨪↰⇹(⪎⋱⫍1A59+⪎⋱⫍B38)+(↯⪼(⪎⋱⫍CA7⩚⊴⇥⪎⋱⫍236A)))⪢(-(⪎⋱⫍16A7⊉≛↸⪎⋱⫍17A5⨵⪆⪎⋱⫍623⨟⋌⩍⪎⋱⫍3696))","cot":[{"info":"↽≂⪎⋱⫍1B83=⪎⋱⫍-3A36","layer":3},{"info":"⪎⋱⫍1A59+⪎⋱⫍B38=⪎⋱⫍2894","layer":3},{"info":"⪎⋱⫍-3A36⨪↰⇹⪎⋱⫍2894=⪎⋱⫍-3A36","layer":2},{"info":"⪎⋱⫍CA7⩚⊴⇥⪎⋱⫍236A=⪎⋱⫍-3408","layer":3},{"info":"↯⪼⪎⋱⫍-3408=⪎⋱⫍6289","layer":2},{"info":"⪎⋱⫍-3A36+⪎⋱⫍6289=⪎⋱⫍2553","layer":1},{"info":"⪎⋱⫍16A7⊉≛↸⪎⋱⫍17A5=⪎⋱⫍3081","layer":3},{"info":"⪎⋱⫍623⨟⋌⩍⪎⋱⫍3696=NaN","layer":3},{"info":"⪎⋱⫍3081⨵⪆NaN=⪎⋱⫍C4","layer":2},{"info":"-⪎⋱⫍C4=⪎⋱⫍-C4","layer":1},{"info":"⪎⋱⫍2553⪢⪎⋱⫍-C4=NaN","layer":0}]}
{"id":332,"expression_no_base_symbol":"(($3661$⋳⪒$4904$)≧⫂∧$5081$⊴$2564$⋥≓≎($2430$⋫)⩷∴($3595$-$1654$))⋳⪒(↯⪼($1155$⨎$1134$/$3948$⫸⊐$2385$))","expression":"((⪎⋱⫍1888⋳⪒⪎⋱⫍2303)≧⫂∧⪎⋱⫍240B⊴⪎⋱⫍1223⋥≓≎(⪎⋱⫍114C⋫)⩷∴(⪎⋱⫍1837-⪎⋱⫍9A3))⋳⪒(↯⪼(⪎⋱⫍6AB⨎⪎⋱⫍693/⪎⋱⫍1A49⫸⊐⪎⋱⫍1116))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":11284,"operation_count":12,"complexity_ratio":940.3333333333334,"tree":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":3661,"base":13},"right_expr":{"type":"numeric_atoms","value":4904,"base":13}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":5081,"base":13},"right_expr":{"type":"numeric_atoms","value":2564,"base":13}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":2430,"base":13}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":3595,"base":13},"right_expr":{"type":"numeric_atoms","value":1654,"base":13}}}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1155,"base":13},"right_expr":{"type":"numeric_atoms","value":1134,"base":13}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":3948,"base":13},"right_expr":{"type":"numeric_atoms","value":2385,"base":13}}}}},"used_operators":["12rbrZMWeM","Qy55tPpLXF","Ph9nP6C5qx","Nsiff2A1zJ","9FxExcQeMw","JL8yIekQnl","rysDP5nf3Z","8jW3W4yZS5","XhwjNDsVaA","rJVOvQCfKK","mqXw5SEYmG"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","tmPS8pqC7x","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"⪎⋱⫍-A2","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3661","layer":4},{"info":"number node, value=4904","layer":4},{"info":"compute binary expreesion, left_input=3661, right_input=4904, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=2131","layer":3},{"info":"number node, value=5081","layer":4},{"info":"number node, value=2564","layer":4},{"info":"compute binary expreesion, left_input=5081, right_input=2564, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2131, 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=2430","layer":4},{"info":"compute unary expreesion, input=2430, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=2430","layer":3},{"info":"number node, value=3595","layer":4},{"info":"number node, value=1654","layer":4},{"info":"compute binary expreesion, left_input=3595, right_input=1654, op_id = rysDP5nf3Z binary_op_definition= 'None', output=1941","layer":3},{"info":"compute binary expreesion, left_input=2430, right_input=1941, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=946","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=946, 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=1155","layer":4},{"info":"number node, value=1134","layer":4},{"info":"compute binary expreesion, left_input=1155, right_input=1134, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1134","layer":3},{"info":"number node, value=3948","layer":4},{"info":"number node, value=2385","layer":4},{"info":"compute binary expreesion, left_input=3948, right_input=2385, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=9415","layer":3},{"info":"compute binary expreesion, left_input=1134, right_input=9415, op_id = XhwjNDsVaA binary_op_definition= 'None', 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 binary expreesion, left_input=67, right_input=-21, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-132","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍1888⋳⪒⪎⋱⫍2303)≧⫂∧⪎⋱⫍240B⊴⪎⋱⫍1223⋥≓≎(⪎⋱⫍114C⋫)⩷∴(⪎⋱⫍1837-⪎⋱⫍9A3))⋳⪒(↯⪼(⪎⋱⫍6AB⨎⪎⋱⫍693/⪎⋱⫍1A49⫸⊐⪎⋱⫍1116))=⪎⋱⫍-A2","reverse_text":"⪎⋱⫍-A2=((⪎⋱⫍1888⋳⪒⪎⋱⫍2303)≧⫂∧⪎⋱⫍240B⊴⪎⋱⫍1223⋥≓≎(⪎⋱⫍114C⋫)⩷∴(⪎⋱⫍1837-⪎⋱⫍9A3))⋳⪒(↯⪼(⪎⋱⫍6AB⨎⪎⋱⫍693/⪎⋱⫍1A49⫸⊐⪎⋱⫍1116))","cot":[{"info":"⪎⋱⫍1888⋳⪒⪎⋱⫍2303=⪎⋱⫍C7C","layer":3},{"info":"⪎⋱⫍240B⊴⪎⋱⫍1223=NaN","layer":3},{"info":"⪎⋱⫍C7C≧⫂∧NaN=NaN","layer":2},{"info":"⪎⋱⫍114C⋫=⪎⋱⫍114C","layer":3},{"info":"⪎⋱⫍1837-⪎⋱⫍9A3=⪎⋱⫍B64","layer":3},{"info":"⪎⋱⫍114C⩷∴⪎⋱⫍B64=⪎⋱⫍57A","layer":2},{"info":"NaN⋥≓≎⪎⋱⫍57A=⪎⋱⫍52","layer":1},{"info":"⪎⋱⫍6AB⨎⪎⋱⫍693=⪎⋱⫍693","layer":3},{"info":"⪎⋱⫍1A49⫸⊐⪎⋱⫍1116=⪎⋱⫍4393","layer":3},{"info":"⪎⋱⫍693/⪎⋱⫍4393=⪎⋱⫍0","layer":2},{"info":"↯⪼⪎⋱⫍0=⪎⋱⫍-18","layer":1},{"info":"⪎⋱⫍52⋳⪒⪎⋱⫍-18=⪎⋱⫍-A2","layer":0}]}
{"id":333,"expression_no_base_symbol":"(↔($1599$⩨$2782$))≭(($4393$⪠⩆⊳)⨎($5265$⨐⩸⫘$3868$))⫩⊇","expression":"(↔(⪎⋱⫍960⩨⪎⋱⫍1360))≭((⪎⋱⫍1CCC⪠⩆⊳)⨎(⪎⋱⫍2520⨐⩸⫘⪎⋱⫍19B7))⫩⊇","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":25,"operation_count":7,"complexity_ratio":3.5714285714285716,"tree":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1599,"base":13},"right_expr":{"type":"numeric_atoms","value":2782,"base":13}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":4393,"base":13}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":5265,"base":13},"right_expr":{"type":"numeric_atoms","value":3868,"base":13}}}}},"used_operators":["BjRHVeLaeN","rxpJgHHUmx","ruOEQAzv1W","2DlMacCsIx","rJVOvQCfKK","JLbD19bQDL","fu6greOZ01"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1599","layer":4},{"info":"number node, value=2782","layer":4},{"info":"compute binary expreesion, left_input=1599, right_input=2782, 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 = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=795","layer":2},{"info":"number node, value=4393","layer":4},{"info":"compute unary expreesion, input=4393, 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=5265","layer":4},{"info":"number node, value=3868","layer":4},{"info":"compute binary expreesion, left_input=5265, right_input=3868, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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 = 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=795, 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 = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(↔(⪎⋱⫍960⩨⪎⋱⫍1360))≭((⪎⋱⫍1CCC⪠⩆⊳)⨎(⪎⋱⫍2520⨐⩸⫘⪎⋱⫍19B7))⫩⊇=NaN","reverse_text":"NaN=(↔(⪎⋱⫍960⩨⪎⋱⫍1360))≭((⪎⋱⫍1CCC⪠⩆⊳)⨎(⪎⋱⫍2520⨐⩸⫘⪎⋱⫍19B7))⫩⊇","cot":[{"info":"⪎⋱⫍960⩨⪎⋱⫍1360=⪎⋱⫍-3","layer":3},{"info":"↔⪎⋱⫍-3=⪎⋱⫍492","layer":2},{"info":"⪎⋱⫍1CCC⪠⩆⊳=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍2520⨐⩸⫘⪎⋱⫍19B7=NaN","layer":3},{"info":"⪎⋱⫍0⨎NaN=NaN","layer":2},{"info":"⪎⋱⫍492≭NaN=NaN","layer":1},{"info":"NaN⫩⊇=NaN","layer":0}]}
{"id":334,"expression_no_base_symbol":"⪲⇎(($1267$⨽$2622$)⊴$4647$⊴$4619$⪠⩆⊳)","expression":"⪲⇎((⪎⋱⫍766⨽⪎⋱⫍1269)⊴⪎⋱⫍2166⊴⪎⋱⫍2144⪠⩆⊳)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7799,"operation_count":5,"complexity_ratio":1559.8,"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":1267,"base":13},"right_expr":{"type":"numeric_atoms","value":2622,"base":13}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":4647,"base":13},"right_expr":{"type":"numeric_atoms","value":4619,"base":13}}}}},"used_operators":["XPYlsWDdGa","JLbD19bQDL","Nsiff2A1zJ","8HhzD0ZcuI"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1267","layer":4},{"info":"number node, value=2622","layer":4},{"info":"compute binary expreesion, left_input=1267, right_input=2622, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-4822419","layer":3},{"info":"number node, value=4647","layer":4},{"info":"number node, value=4619","layer":4},{"info":"compute binary expreesion, left_input=4647, right_input=4619, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-4822419, 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 = 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 unary expreesion, input=nan, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⪲⇎((⪎⋱⫍766⨽⪎⋱⫍1269)⊴⪎⋱⫍2166⊴⪎⋱⫍2144⪠⩆⊳)=NaN","reverse_text":"NaN=⪲⇎((⪎⋱⫍766⨽⪎⋱⫍1269)⊴⪎⋱⫍2166⊴⪎⋱⫍2144⪠⩆⊳)","cot":[{"info":"⪎⋱⫍766⨽⪎⋱⫍1269=⪎⋱⫍-CCB004","layer":3},{"info":"⪎⋱⫍2166⊴⪎⋱⫍2144=NaN","layer":3},{"info":"⪎⋱⫍-CCB004⊴NaN=NaN","layer":2},{"info":"NaN⪠⩆⊳=NaN","layer":1},{"info":"⪲⇎NaN=NaN","layer":0}]}
{"id":335,"expression_no_base_symbol":"((⪝⪂⫅$1720$)⫥∨⫟($4530$⪄$3771$))⨓($5268$∲⫓$4066$⨵⪆$4342$⊭↱$2690$)∲⫓(($1619$*$2208$)⪮%⊝($4496$⋝⋈⪟$1017$)↛⩡⫤)","expression":"((⪝⪂⫅⪎⋱⫍A24)⫥∨⫟(⪎⋱⫍20A6⪄⪎⋱⫍1941))⨓(⪎⋱⫍2523∲⫓⪎⋱⫍1B0A⨵⪆⪎⋱⫍1C90⊭↱⪎⋱⫍12BC)∲⫓((⪎⋱⫍977*⪎⋱⫍100B)⪮%⊝(⪎⋱⫍207B⋝⋈⪟⪎⋱⫍603)↛⩡⫤)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2271,"operation_count":12,"complexity_ratio":189.25,"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":1720,"base":13}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":4530,"base":13},"right_expr":{"type":"numeric_atoms","value":3771,"base":13}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":5268,"base":13},"right_expr":{"type":"numeric_atoms","value":4066,"base":13}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":4342,"base":13},"right_expr":{"type":"numeric_atoms","value":2690,"base":13}}}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1619,"base":13},"right_expr":{"type":"numeric_atoms","value":2208,"base":13}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":4496,"base":13},"right_expr":{"type":"numeric_atoms","value":1017,"base":13}}}}},"used_operators":["i8ToyICDmI","3ViojmjbAp","KYD54nUTWz","XTarYq4gQB","SUmda5xLS4","2DQ55sFlQl","COABgblf1C","FU0Cs4j7VP","IWmyXbctLI","9HNa5Wba9A","2DDjHMKMc0"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","8HhzD0ZcuI","rGHVDoGpnC","9HNa5Wba9A","8w2t5hMYqp","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1720","layer":4},{"info":"compute unary expreesion, input=1720, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-252840","layer":3},{"info":"number node, value=4530","layer":4},{"info":"number node, value=3771","layer":4},{"info":"compute binary expreesion, left_input=4530, right_input=3771, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-681613","layer":3},{"info":"compute binary expreesion, left_input=-252840, right_input=-681613, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=5268","layer":4},{"info":"number node, value=4066","layer":4},{"info":"compute binary expreesion, left_input=5268, right_input=4066, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=4342","layer":4},{"info":"number node, value=2690","layer":4},{"info":"compute binary expreesion, left_input=4342, right_input=2690, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-3299","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-3299, 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 = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-163","layer":1},{"info":"number node, value=1619","layer":4},{"info":"number node, value=2208","layer":4},{"info":"compute binary expreesion, left_input=1619, right_input=2208, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=3574752","layer":3},{"info":"number node, value=4496","layer":4},{"info":"number node, value=1017","layer":4},{"info":"compute binary expreesion, left_input=4496, right_input=1017, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=4496","layer":3},{"info":"compute binary expreesion, left_input=3574752, right_input=4496, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=7149820","layer":2},{"info":"compute unary expreesion, input=7149820, 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=-163, right_input=nan, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⪝⪂⫅⪎⋱⫍A24)⫥∨⫟(⪎⋱⫍20A6⪄⪎⋱⫍1941))⨓(⪎⋱⫍2523∲⫓⪎⋱⫍1B0A⨵⪆⪎⋱⫍1C90⊭↱⪎⋱⫍12BC)∲⫓((⪎⋱⫍977*⪎⋱⫍100B)⪮%⊝(⪎⋱⫍207B⋝⋈⪟⪎⋱⫍603)↛⩡⫤)=NaN","reverse_text":"NaN=((⪝⪂⫅⪎⋱⫍A24)⫥∨⫟(⪎⋱⫍20A6⪄⪎⋱⫍1941))⨓(⪎⋱⫍2523∲⫓⪎⋱⫍1B0A⨵⪆⪎⋱⫍1C90⊭↱⪎⋱⫍12BC)∲⫓((⪎⋱⫍977*⪎⋱⫍100B)⪮%⊝(⪎⋱⫍207B⋝⋈⪟⪎⋱⫍603)↛⩡⫤)","cot":[{"info":"⪝⪂⫅⪎⋱⫍A24=⪎⋱⫍-8B113","layer":3},{"info":"⪎⋱⫍20A6⪄⪎⋱⫍1941=⪎⋱⫍-1AB32A","layer":3},{"info":"⪎⋱⫍-8B113⫥∨⫟⪎⋱⫍-1AB32A=NaN","layer":2},{"info":"⪎⋱⫍2523∲⫓⪎⋱⫍1B0A=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍1C90⊭↱⪎⋱⫍12BC=⪎⋱⫍-166A","layer":3},{"info":"⪎⋱⫍0⨵⪆⪎⋱⫍-166A=⪎⋱⫍C4","layer":2},{"info":"NaN⨓⪎⋱⫍C4=⪎⋱⫍-C7","layer":1},{"info":"⪎⋱⫍977*⪎⋱⫍100B=⪎⋱⫍98214C","layer":3},{"info":"⪎⋱⫍207B⋝⋈⪟⪎⋱⫍603=⪎⋱⫍207B","layer":3},{"info":"⪎⋱⫍98214C⪮%⊝⪎⋱⫍207B=⪎⋱⫍1634482","layer":2},{"info":"⪎⋱⫍1634482↛⩡⫤=NaN","layer":1},{"info":"⪎⋱⫍-C7∲⫓NaN=NaN","layer":0}]}
{"id":336,"expression_no_base_symbol":"(↽≂($4845$⫌⩹⨱)∼($1956$%$1494$))⋳⪒((⨵≀≌($3183$⪨≂$2634$))⊉≛↸($2317$⩚⊴⇥$4569$⨸⪁(↥$3403$)))","expression":"(↽≂(⪎⋱⫍2289⫌⩹⨱)∼(⪎⋱⫍B76%⪎⋱⫍8AC))⋳⪒((⨵≀≌(⪎⋱⫍15AB⪨≂⪎⋱⫍1278))⊉≛↸(⪎⋱⫍1093⩚⊴⇥⪎⋱⫍2106⨸⪁(↥⪎⋱⫍171A)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2187,"operation_count":11,"complexity_ratio":198.8181818181818,"tree":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":4845,"base":13}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1956,"base":13},"right_expr":{"type":"numeric_atoms","value":1494,"base":13}}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":3183,"base":13},"right_expr":{"type":"numeric_atoms","value":2634,"base":13}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2317,"base":13},"right_expr":{"type":"numeric_atoms","value":4569,"base":13}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":3403,"base":13}}}}},"used_operators":["12rbrZMWeM","u6S6b8DprG","DyGG3AbaNP","EBcxylXtPf","k8jYdgA6NY","DZ8iAZOCBD","srAu1WTS94","sdazOOVcIp","g55IO6H4Gj","NTOWxs364D","A8NUZmVepG"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","k8jYdgA6NY"],"result":"⪎⋱⫍-6625","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4845","layer":4},{"info":"compute unary expreesion, input=4845, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=11091","layer":3},{"info":"number node, value=1956","layer":4},{"info":"number node, value=1494","layer":4},{"info":"compute binary expreesion, left_input=1956, right_input=1494, op_id = k8jYdgA6NY binary_op_definition= 'None', output=462","layer":3},{"info":"compute binary expreesion, left_input=11091, right_input=462, 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 = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=0","layer":1},{"info":"number node, value=3183","layer":4},{"info":"number node, value=2634","layer":4},{"info":"compute binary expreesion, left_input=3183, right_input=2634, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=1200","layer":3},{"info":"compute unary expreesion, input=1200, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-3600","layer":2},{"info":"number node, value=2317","layer":4},{"info":"number node, value=4569","layer":4},{"info":"compute binary expreesion, left_input=2317, right_input=4569, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-7007","layer":3},{"info":"number node, value=3403","layer":4},{"info":"compute unary expreesion, input=3403, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=37","layer":3},{"info":"compute binary expreesion, left_input=-7007, right_input=37, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-13940","layer":2},{"info":"compute binary expreesion, left_input=-3600, right_input=-13940, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=13940","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=13940, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-14227","layer":0}],"base":13,"result_base":13,"text":"(↽≂(⪎⋱⫍2289⫌⩹⨱)∼(⪎⋱⫍B76%⪎⋱⫍8AC))⋳⪒((⨵≀≌(⪎⋱⫍15AB⪨≂⪎⋱⫍1278))⊉≛↸(⪎⋱⫍1093⩚⊴⇥⪎⋱⫍2106⨸⪁(↥⪎⋱⫍171A)))=⪎⋱⫍-6625","reverse_text":"⪎⋱⫍-6625=(↽≂(⪎⋱⫍2289⫌⩹⨱)∼(⪎⋱⫍B76%⪎⋱⫍8AC))⋳⪒((⨵≀≌(⪎⋱⫍15AB⪨≂⪎⋱⫍1278))⊉≛↸(⪎⋱⫍1093⩚⊴⇥⪎⋱⫍2106⨸⪁(↥⪎⋱⫍171A)))","cot":[{"info":"⪎⋱⫍2289⫌⩹⨱=⪎⋱⫍5082","layer":3},{"info":"⪎⋱⫍B76%⪎⋱⫍8AC=⪎⋱⫍297","layer":3},{"info":"⪎⋱⫍5082∼⪎⋱⫍297=⪎⋱⫍0","layer":2},{"info":"↽≂⪎⋱⫍0=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍15AB⪨≂⪎⋱⫍1278=⪎⋱⫍714","layer":3},{"info":"⨵≀≌⪎⋱⫍714=⪎⋱⫍-183C","layer":2},{"info":"⪎⋱⫍1093⩚⊴⇥⪎⋱⫍2106=⪎⋱⫍-3260","layer":3},{"info":"↥⪎⋱⫍171A=⪎⋱⫍2B","layer":3},{"info":"⪎⋱⫍-3260⨸⪁⪎⋱⫍2B=⪎⋱⫍-6464","layer":2},{"info":"⪎⋱⫍-183C⊉≛↸⪎⋱⫍-6464=⪎⋱⫍6464","layer":1},{"info":"⪎⋱⫍0⋳⪒⪎⋱⫍6464=⪎⋱⫍-6625","layer":0}]}
{"id":337,"expression_no_base_symbol":"($8508$+⇶⊼$1504$⩨($1429$-$1670$))⫸⊐(∥⊫(≉$3848$))⊭↱(≤/($3398$≭$1853$-$4368$≧⫂∧$6816$))","expression":"(⪎⋱⫍3B46+⇶⊼⪎⋱⫍8B9⩨(⪎⋱⫍85C-⪎⋱⫍9B6))⫸⊐(∥⊫(≉⪎⋱⫍19A0))⊭↱(≤/(⪎⋱⫍1715≭⪎⋱⫍AC7-⪎⋱⫍1CB0≧⫂∧⪎⋱⫍3144))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":26,"operation_count":11,"complexity_ratio":2.3636363636363638,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":8508,"base":13},"right_expr":{"type":"numeric_atoms","value":1504,"base":13}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1429,"base":13},"right_expr":{"type":"numeric_atoms","value":1670,"base":13}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":3848,"base":13}}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":3398,"base":13},"right_expr":{"type":"numeric_atoms","value":1853,"base":13}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":4368,"base":13},"right_expr":{"type":"numeric_atoms","value":6816,"base":13}}}}},"used_operators":["COABgblf1C","mqXw5SEYmG","2DlMacCsIx","TpPTUOHfaN","rysDP5nf3Z","P8v4zCKN1o","e1ybzncUwg","eLAdDNolq6","rxpJgHHUmx","Ph9nP6C5qx"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=8508","layer":4},{"info":"number node, value=1504","layer":4},{"info":"compute binary expreesion, left_input=8508, right_input=1504, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=1429","layer":4},{"info":"number node, value=1670","layer":4},{"info":"compute binary expreesion, left_input=1429, right_input=1670, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-241","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-241, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":2},{"info":"number node, value=3848","layer":4},{"info":"compute unary expreesion, input=3848, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=4379","layer":3},{"info":"compute unary expreesion, input=4379, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=5247","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=5247, 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=3398","layer":4},{"info":"number node, value=1853","layer":4},{"info":"compute binary expreesion, left_input=3398, right_input=1853, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=4368","layer":4},{"info":"number node, value=6816","layer":4},{"info":"compute binary expreesion, left_input=4368, right_input=6816, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=6343","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=6343, op_id = rysDP5nf3Z binary_op_definition= 'None', 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 = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍3B46+⇶⊼⪎⋱⫍8B9⩨(⪎⋱⫍85C-⪎⋱⫍9B6))⫸⊐(∥⊫(≉⪎⋱⫍19A0))⊭↱(≤/(⪎⋱⫍1715≭⪎⋱⫍AC7-⪎⋱⫍1CB0≧⫂∧⪎⋱⫍3144))=NaN","reverse_text":"NaN=(⪎⋱⫍3B46+⇶⊼⪎⋱⫍8B9⩨(⪎⋱⫍85C-⪎⋱⫍9B6))⫸⊐(∥⊫(≉⪎⋱⫍19A0))⊭↱(≤/(⪎⋱⫍1715≭⪎⋱⫍AC7-⪎⋱⫍1CB0≧⫂∧⪎⋱⫍3144))","cot":[{"info":"⪎⋱⫍3B46+⇶⊼⪎⋱⫍8B9=NaN","layer":3},{"info":"⪎⋱⫍85C-⪎⋱⫍9B6=⪎⋱⫍-157","layer":3},{"info":"NaN⩨⪎⋱⫍-157=NaN","layer":2},{"info":"≉⪎⋱⫍19A0=⪎⋱⫍1CBB","layer":3},{"info":"∥⊫⪎⋱⫍1CBB=⪎⋱⫍2508","layer":2},{"info":"NaN⫸⊐⪎⋱⫍2508=NaN","layer":1},{"info":"⪎⋱⫍1715≭⪎⋱⫍AC7=NaN","layer":3},{"info":"⪎⋱⫍1CB0≧⫂∧⪎⋱⫍3144=⪎⋱⫍2B6C","layer":3},{"info":"NaN-⪎⋱⫍2B6C=NaN","layer":2},{"info":"≤/NaN=NaN","layer":1},{"info":"NaN⊭↱NaN=NaN","layer":0}]}
{"id":338,"expression_no_base_symbol":"($1066$⫸⊐$8313$)≎⊠⪸$6816$↬$1186$⨽($4801$⋷$2648$)⨪↰⇹(⨰⫟⨤$3106$)⋷(⨑⩽⪐$1101$⨪↰⇹$4481$)⨎($1686$⪄$2113$⪒$1182$⨓$6159$)","expression":"(⪎⋱⫍640⫸⊐⪎⋱⫍3A26)≎⊠⪸⪎⋱⫍3144↬⪎⋱⫍703⨽(⪎⋱⫍2254⋷⪎⋱⫍1289)⨪↰⇹(⨰⫟⨤⪎⋱⫍154C)⋷(⨑⩽⪐⪎⋱⫍669⨪↰⇹⪎⋱⫍2069)⨎(⪎⋱⫍9C9⪄⪎⋱⫍C67⪒⪎⋱⫍6CC⨓⪎⋱⫍2A5A)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":19565,"operation_count":14,"complexity_ratio":1397.5,"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":1066,"base":13},"right_expr":{"type":"numeric_atoms","value":8313,"base":13}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":6816,"base":13},"right_expr":{"type":"numeric_atoms","value":1186,"base":13}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":4801,"base":13},"right_expr":{"type":"numeric_atoms","value":2648,"base":13}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":3106,"base":13}}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1101,"base":13},"right_expr":{"type":"numeric_atoms","value":4481,"base":13}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1686,"base":13},"right_expr":{"type":"numeric_atoms","value":2113,"base":13}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1182,"base":13},"right_expr":{"type":"numeric_atoms","value":6159,"base":13}}}}},"used_operators":["23Mk6UjR3U","8HhzD0ZcuI","bJkvcejdHO","mqXw5SEYmG","B5M0gjZbta","tmPS8pqC7x","Tw270M8GLb","rJVOvQCfKK","AF7qkfDlqP","f6k1SAg4EE","SUmda5xLS4","3ViojmjbAp"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rGHVDoGpnC","rJVOvQCfKK","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"⪎⋱⫍C552","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1066","layer":4},{"info":"number node, value=8313","layer":4},{"info":"compute binary expreesion, left_input=1066, right_input=8313, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=33127","layer":3},{"info":"number node, value=6816","layer":4},{"info":"number node, value=1186","layer":4},{"info":"compute binary expreesion, left_input=6816, right_input=1186, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=33127, 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=4801","layer":4},{"info":"number node, value=2648","layer":4},{"info":"compute binary expreesion, left_input=4801, right_input=2648, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=495","layer":3},{"info":"number node, value=3106","layer":4},{"info":"compute unary expreesion, input=3106, 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=495, 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=495","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=495, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-13638","layer":1},{"info":"number node, value=1101","layer":4},{"info":"number node, value=4481","layer":4},{"info":"compute binary expreesion, left_input=1101, right_input=4481, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1101","layer":3},{"info":"compute unary expreesion, input=1101, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-828","layer":2},{"info":"number node, value=1686","layer":4},{"info":"number node, value=2113","layer":4},{"info":"compute binary expreesion, left_input=1686, right_input=2113, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-254069","layer":3},{"info":"number node, value=1182","layer":4},{"info":"number node, value=6159","layer":4},{"info":"compute binary expreesion, left_input=1182, right_input=6159, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-6162","layer":3},{"info":"compute binary expreesion, left_input=-254069, right_input=-6162, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=260231","layer":2},{"info":"compute binary expreesion, left_input=-828, right_input=260231, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=260231","layer":1},{"info":"compute binary expreesion, left_input=-13638, right_input=260231, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=27276","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍640⫸⊐⪎⋱⫍3A26)≎⊠⪸⪎⋱⫍3144↬⪎⋱⫍703⨽(⪎⋱⫍2254⋷⪎⋱⫍1289)⨪↰⇹(⨰⫟⨤⪎⋱⫍154C)⋷(⨑⩽⪐⪎⋱⫍669⨪↰⇹⪎⋱⫍2069)⨎(⪎⋱⫍9C9⪄⪎⋱⫍C67⪒⪎⋱⫍6CC⨓⪎⋱⫍2A5A)=⪎⋱⫍C552","reverse_text":"⪎⋱⫍C552=(⪎⋱⫍640⫸⊐⪎⋱⫍3A26)≎⊠⪸⪎⋱⫍3144↬⪎⋱⫍703⨽(⪎⋱⫍2254⋷⪎⋱⫍1289)⨪↰⇹(⨰⫟⨤⪎⋱⫍154C)⋷(⨑⩽⪐⪎⋱⫍669⨪↰⇹⪎⋱⫍2069)⨎(⪎⋱⫍9C9⪄⪎⋱⫍C67⪒⪎⋱⫍6CC⨓⪎⋱⫍2A5A)","cot":[{"info":"⪎⋱⫍640⫸⊐⪎⋱⫍3A26=⪎⋱⫍12103","layer":3},{"info":"⪎⋱⫍3144↬⪎⋱⫍703=NaN","layer":3},{"info":"⪎⋱⫍12103≎⊠⪸NaN=⪎⋱⫍52","layer":2},{"info":"⪎⋱⫍2254⋷⪎⋱⫍1289=⪎⋱⫍2C1","layer":3},{"info":"⨰⫟⨤⪎⋱⫍154C=NaN","layer":3},{"info":"⪎⋱⫍2C1⨪↰⇹NaN=⪎⋱⫍2C1","layer":2},{"info":"⪎⋱⫍52⨽⪎⋱⫍2C1=⪎⋱⫍-6291","layer":1},{"info":"⪎⋱⫍669⨪↰⇹⪎⋱⫍2069=⪎⋱⫍669","layer":3},{"info":"⨑⩽⪐⪎⋱⫍669=⪎⋱⫍-4B9","layer":2},{"info":"⪎⋱⫍9C9⪄⪎⋱⫍C67=⪎⋱⫍-8B84A","layer":3},{"info":"⪎⋱⫍6CC⨓⪎⋱⫍2A5A=⪎⋱⫍-2A60","layer":3},{"info":"⪎⋱⫍-8B84A⪒⪎⋱⫍-2A60=⪎⋱⫍915AA","layer":2},{"info":"⪎⋱⫍-4B9⨎⪎⋱⫍915AA=⪎⋱⫍915AA","layer":1},{"info":"⪎⋱⫍-6291⋷⪎⋱⫍915AA=⪎⋱⫍C552","layer":0}]}
{"id":339,"expression_no_base_symbol":"≤/(↽≂(($7375$⋳⪒$2269$)⩤))","expression":"≤/(↽≂((⪎⋱⫍3484⋳⪒⪎⋱⫍1057)⩤))","highest_n_order":1,"priority_hierarchical_complexity":4,"normalized_expansion_degree":12,"operation_count":4,"complexity_ratio":3.0,"tree":{"type":"unary","operator":"≤/","unary_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":7375,"base":13},"right_expr":{"type":"numeric_atoms","value":2269,"base":13}}}}},"used_operators":["eLAdDNolq6","u6S6b8DprG","Z2TMIBDE3Q","12rbrZMWeM"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍-AB5A","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=7375","layer":4},{"info":"number node, value=2269","layer":4},{"info":"compute binary expreesion, left_input=7375, right_input=2269, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=12194","layer":3},{"info":"compute unary expreesion, input=12194, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-12194","layer":2},{"info":"compute unary expreesion, input=-12194, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=24388","layer":1},{"info":"compute unary expreesion, input=24388, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-23904","layer":0}],"base":13,"result_base":13,"text":"≤/(↽≂((⪎⋱⫍3484⋳⪒⪎⋱⫍1057)⩤))=⪎⋱⫍-AB5A","reverse_text":"⪎⋱⫍-AB5A=≤/(↽≂((⪎⋱⫍3484⋳⪒⪎⋱⫍1057)⩤))","cot":[{"info":"⪎⋱⫍3484⋳⪒⪎⋱⫍1057=⪎⋱⫍5720","layer":3},{"info":"⪎⋱⫍5720⩤=⪎⋱⫍-5720","layer":2},{"info":"↽≂⪎⋱⫍-5720=⪎⋱⫍B140","layer":1},{"info":"≤/⪎⋱⫍B140=⪎⋱⫍-AB5A","layer":0}]}
{"id":340,"expression_no_base_symbol":"(($4951$∑⇟⊟$4344$)⨟⋌⩍$1920$⊴$1791$⩚⊴⇥(+⊝⨔$5174$)⨪↰⇹($7549$≧⫂∧$1022$))⪢(($4579$↪⪝)↬($3895$⨳⩥⨓$1005$)⨐⩸⫘($4894$⋓$5966$⨁⊸⫻))","expression":"((⪎⋱⫍233B∑⇟⊟⪎⋱⫍1C92)⨟⋌⩍⪎⋱⫍B49⊴⪎⋱⫍A7A⩚⊴⇥(+⊝⨔⪎⋱⫍2480)⨪↰⇹(⪎⋱⫍3589≧⫂∧⪎⋱⫍608))⪢((⪎⋱⫍2113↪⪝)↬(⪎⋱⫍1A08⨳⩥⨓⪎⋱⫍5C4)⨐⩸⫘(⪎⋱⫍22C6⋓⪎⋱⫍293C⨁⊸⫻))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":4134,"operation_count":14,"complexity_ratio":295.2857142857143,"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":4951,"base":13},"right_expr":{"type":"numeric_atoms","value":4344,"base":13}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1920,"base":13},"right_expr":{"type":"numeric_atoms","value":1791,"base":13}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":5174,"base":13}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":7549,"base":13},"right_expr":{"type":"numeric_atoms","value":1022,"base":13}}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":4579,"base":13}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":3895,"base":13},"right_expr":{"type":"numeric_atoms","value":1005,"base":13}}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":4894,"base":13},"right_expr":{"type":"numeric_atoms","value":5966,"base":13}}}}},"used_operators":["dWAJyo7jo9","NTOWxs364D","rGHVDoGpnC","U7g4x0WXJJ","Nsiff2A1zJ","tmPS8pqC7x","DhbWaqg5eL","Ph9nP6C5qx","fu6greOZ01","B5M0gjZbta","l07mrZUIn9","nCS4ZIUYfx","glklzrTFfD","T2fj7uvVaJ"],"dependent_operators":["k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","Tcnh7f0tEr","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","dWAJyo7jo9","14qkJME0vr","rJVOvQCfKK","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","rGHVDoGpnC","9HNa5Wba9A","2DDjHMKMc0","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4951","layer":4},{"info":"number node, value=4344","layer":4},{"info":"compute binary expreesion, left_input=4951, right_input=4344, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=1920","layer":4},{"info":"number node, value=1791","layer":4},{"info":"compute binary expreesion, left_input=1920, right_input=1791, 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 = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=5174","layer":4},{"info":"compute unary expreesion, input=5174, 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=7549","layer":4},{"info":"number node, value=1022","layer":4},{"info":"compute binary expreesion, left_input=7549, right_input=1022, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=549","layer":3},{"info":"compute binary expreesion, left_input=1522, right_input=549, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1522","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1522, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":1},{"info":"number node, value=4579","layer":4},{"info":"compute unary expreesion, input=4579, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=280152378","layer":3},{"info":"number node, value=3895","layer":4},{"info":"number node, value=1005","layer":4},{"info":"compute binary expreesion, left_input=3895, right_input=1005, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-2890","layer":3},{"info":"compute binary expreesion, left_input=280152378, right_input=-2890, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=4894","layer":4},{"info":"number node, value=5966","layer":4},{"info":"compute binary expreesion, left_input=4894, right_input=5966, op_id = T2fj7uvVaJ binary_op_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 = 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 = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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":13,"result_base":13,"text":"((⪎⋱⫍233B∑⇟⊟⪎⋱⫍1C92)⨟⋌⩍⪎⋱⫍B49⊴⪎⋱⫍A7A⩚⊴⇥(+⊝⨔⪎⋱⫍2480)⨪↰⇹(⪎⋱⫍3589≧⫂∧⪎⋱⫍608))⪢((⪎⋱⫍2113↪⪝)↬(⪎⋱⫍1A08⨳⩥⨓⪎⋱⫍5C4)⨐⩸⫘(⪎⋱⫍22C6⋓⪎⋱⫍293C⨁⊸⫻))=NaN","reverse_text":"NaN=((⪎⋱⫍233B∑⇟⊟⪎⋱⫍1C92)⨟⋌⩍⪎⋱⫍B49⊴⪎⋱⫍A7A⩚⊴⇥(+⊝⨔⪎⋱⫍2480)⨪↰⇹(⪎⋱⫍3589≧⫂∧⪎⋱⫍608))⪢((⪎⋱⫍2113↪⪝)↬(⪎⋱⫍1A08⨳⩥⨓⪎⋱⫍5C4)⨐⩸⫘(⪎⋱⫍22C6⋓⪎⋱⫍293C⨁⊸⫻))","cot":[{"info":"⪎⋱⫍233B∑⇟⊟⪎⋱⫍1C92=NaN","layer":3},{"info":"⪎⋱⫍B49⊴⪎⋱⫍A7A=NaN","layer":3},{"info":"NaN⨟⋌⩍NaN=NaN","layer":2},{"info":"+⊝⨔⪎⋱⫍2480=⪎⋱⫍901","layer":3},{"info":"⪎⋱⫍3589≧⫂∧⪎⋱⫍608=⪎⋱⫍333","layer":3},{"info":"⪎⋱⫍901⨪↰⇹⪎⋱⫍333=⪎⋱⫍901","layer":2},{"info":"NaN⩚⊴⇥⪎⋱⫍901=NaN","layer":1},{"info":"⪎⋱⫍2113↪⪝=⪎⋱⫍4606BB4C","layer":3},{"info":"⪎⋱⫍1A08⨳⩥⨓⪎⋱⫍5C4=⪎⋱⫍-1414","layer":3},{"info":"⪎⋱⫍4606BB4C↬⪎⋱⫍-1414=NaN","layer":2},{"info":"⪎⋱⫍22C6⋓⪎⋱⫍293C=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍0⨁⊸⫻=⪎⋱⫍0","layer":2},{"info":"NaN⨐⩸⫘⪎⋱⫍0=NaN","layer":1},{"info":"NaN⪢NaN=NaN","layer":0}]}
{"id":341,"expression_no_base_symbol":"(($4520$⨓$5577$-$2012$⇼⇔∾$3168$)⊭↱(↽≂(-$1052$)))⊠≄⫣","expression":"((⪎⋱⫍2099⨓⪎⋱⫍2700-⪎⋱⫍BBA⇼⇔∾⪎⋱⫍1599)⊭↱(↽≂(-⪎⋱⫍62C)))⊠≄⫣","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":5599,"operation_count":7,"complexity_ratio":799.8571428571429,"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":4520,"base":13},"right_expr":{"type":"numeric_atoms","value":5577,"base":13}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2012,"base":13},"right_expr":{"type":"numeric_atoms","value":3168,"base":13}}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1052,"base":13}}}}},"used_operators":["DIvbN7qnHd","COABgblf1C","rysDP5nf3Z","3ViojmjbAp","tifHPKVTfV","u6S6b8DprG","t8gj7n24qd"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4520","layer":4},{"info":"number node, value=5577","layer":4},{"info":"compute binary expreesion, left_input=4520, right_input=5577, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-5580","layer":3},{"info":"number node, value=2012","layer":4},{"info":"number node, value=3168","layer":4},{"info":"compute binary expreesion, left_input=2012, right_input=3168, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1156","layer":3},{"info":"compute binary expreesion, left_input=-5580, right_input=1156, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-6736","layer":2},{"info":"number node, value=1052","layer":4},{"info":"compute unary expreesion, input=1052, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1052","layer":3},{"info":"compute unary expreesion, input=-1052, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=2104","layer":2},{"info":"compute binary expreesion, left_input=-6736, right_input=2104, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=17685","layer":1},{"info":"compute unary expreesion, input=17685, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍2099⨓⪎⋱⫍2700-⪎⋱⫍BBA⇼⇔∾⪎⋱⫍1599)⊭↱(↽≂(-⪎⋱⫍62C)))⊠≄⫣=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=((⪎⋱⫍2099⨓⪎⋱⫍2700-⪎⋱⫍BBA⇼⇔∾⪎⋱⫍1599)⊭↱(↽≂(-⪎⋱⫍62C)))⊠≄⫣","cot":[{"info":"⪎⋱⫍2099⨓⪎⋱⫍2700=⪎⋱⫍-2703","layer":3},{"info":"⪎⋱⫍BBA⇼⇔∾⪎⋱⫍1599=⪎⋱⫍6AC","layer":3},{"info":"⪎⋱⫍-2703-⪎⋱⫍6AC=⪎⋱⫍-30B2","layer":2},{"info":"-⪎⋱⫍62C=⪎⋱⫍-62C","layer":3},{"info":"↽≂⪎⋱⫍-62C=⪎⋱⫍C5B","layer":2},{"info":"⪎⋱⫍-30B2⊭↱⪎⋱⫍C5B=⪎⋱⫍8085","layer":1},{"info":"⪎⋱⫍8085⊠≄⫣=⪎⋱⫍0","layer":0}]}
{"id":342,"expression_no_base_symbol":"(⫓⪴(≤/($1515$⫡⨏$2295$)))⪘⫢(($2700$≧⫂∧$3727$)⨓($7623$*$1158$)⨳⩥⨓(⪲⇎$2344$⪛$5511$))","expression":"(⫓⪴(≤/(⪎⋱⫍8C7⫡⨏⪎⋱⫍1077)))⪘⫢((⪎⋱⫍12C9≧⫂∧⪎⋱⫍1909)⨓(⪎⋱⫍3615*⪎⋱⫍6B1)⨳⩥⨓(⪲⇎⪎⋱⫍10B4⪛⪎⋱⫍267C))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":13656,"operation_count":10,"complexity_ratio":1365.6,"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":1515,"base":13},"right_expr":{"type":"numeric_atoms","value":2295,"base":13}}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2700,"base":13},"right_expr":{"type":"numeric_atoms","value":3727,"base":13}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":7623,"base":13},"right_expr":{"type":"numeric_atoms","value":1158,"base":13}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2344,"base":13},"right_expr":{"type":"numeric_atoms","value":5511,"base":13}}}}},"used_operators":["oacrs7FA3X","eLxqMNBOBk","eLAdDNolq6","QMFrweE19q","nCS4ZIUYfx","3ViojmjbAp","Ph9nP6C5qx","9HNa5Wba9A","XPYlsWDdGa","uFcxV4UQCh"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1515","layer":4},{"info":"number node, value=2295","layer":4},{"info":"compute binary expreesion, left_input=1515, right_input=2295, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=12948","layer":3},{"info":"compute unary expreesion, input=12948, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-12464","layer":2},{"info":"compute unary expreesion, input=-12464, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=155351296","layer":1},{"info":"number node, value=2700","layer":4},{"info":"number node, value=3727","layer":4},{"info":"compute binary expreesion, left_input=2700, right_input=3727, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=3254","layer":3},{"info":"number node, value=7623","layer":4},{"info":"number node, value=1158","layer":4},{"info":"compute binary expreesion, left_input=7623, right_input=1158, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=8827434","layer":3},{"info":"compute binary expreesion, left_input=3254, right_input=8827434, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":2},{"info":"number node, value=2344","layer":4},{"info":"number node, value=5511","layer":4},{"info":"compute binary expreesion, left_input=2344, right_input=5511, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2344","layer":3},{"info":"compute unary expreesion, input=2344, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=4688","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=4688, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=155351296, 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":13,"result_base":13,"text":"(⫓⪴(≤/(⪎⋱⫍8C7⫡⨏⪎⋱⫍1077)))⪘⫢((⪎⋱⫍12C9≧⫂∧⪎⋱⫍1909)⨓(⪎⋱⫍3615*⪎⋱⫍6B1)⨳⩥⨓(⪲⇎⪎⋱⫍10B4⪛⪎⋱⫍267C))=NaN","reverse_text":"NaN=(⫓⪴(≤/(⪎⋱⫍8C7⫡⨏⪎⋱⫍1077)))⪘⫢((⪎⋱⫍12C9≧⫂∧⪎⋱⫍1909)⨓(⪎⋱⫍3615*⪎⋱⫍6B1)⨳⩥⨓(⪲⇎⪎⋱⫍10B4⪛⪎⋱⫍267C))","cot":[{"info":"⪎⋱⫍8C7⫡⨏⪎⋱⫍1077=⪎⋱⫍5B80","layer":3},{"info":"≤/⪎⋱⫍5B80=⪎⋱⫍-589A","layer":2},{"info":"⫓⪴⪎⋱⫍-589A=⪎⋱⫍26253859","layer":1},{"info":"⪎⋱⫍12C9≧⫂∧⪎⋱⫍1909=⪎⋱⫍1634","layer":3},{"info":"⪎⋱⫍3615*⪎⋱⫍6B1=⪎⋱⫍1AA0C45","layer":3},{"info":"⪎⋱⫍1634⨓⪎⋱⫍1AA0C45=NaN","layer":2},{"info":"⪎⋱⫍10B4⪛⪎⋱⫍267C=⪎⋱⫍10B4","layer":3},{"info":"⪲⇎⪎⋱⫍10B4=⪎⋱⫍2198","layer":2},{"info":"NaN⨳⩥⨓⪎⋱⫍2198=NaN","layer":1},{"info":"⪎⋱⫍26253859⪘⫢NaN=NaN","layer":0}]}
{"id":343,"expression_no_base_symbol":"-(⫛⫱⨽$4550$)⨓($4379$⫸⊐$1935$)∑⇟⊟($2907$+⇶⊼$1203$⫥∨⫟$9119$≧⫂∧$4023$)","expression":"-(⫛⫱⨽⪎⋱⫍20C0)⨓(⪎⋱⫍1CBB⫸⊐⪎⋱⫍B5B)∑⇟⊟(⪎⋱⫍1428+⇶⊼⪎⋱⫍717⫥∨⫟⪎⋱⫍41C6≧⫂∧⪎⋱⫍1AA6)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":9225,"operation_count":8,"complexity_ratio":1153.125,"tree":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":4550,"base":13}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":4379,"base":13},"right_expr":{"type":"numeric_atoms","value":1935,"base":13}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2907,"base":13},"right_expr":{"type":"numeric_atoms","value":1203,"base":13}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":9119,"base":13},"right_expr":{"type":"numeric_atoms","value":4023,"base":13}}}}},"used_operators":["t8gj7n24qd","U7g4x0WXJJ","3ViojmjbAp","DlLNRPXxWL","mqXw5SEYmG","KYD54nUTWz","TpPTUOHfaN","Ph9nP6C5qx"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rGHVDoGpnC","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","8HhzD0ZcuI","rGHVDoGpnC","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4550","layer":4},{"info":"compute unary expreesion, input=4550, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=4379","layer":4},{"info":"number node, value=1935","layer":4},{"info":"compute binary expreesion, left_input=4379, right_input=1935, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=7615","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=7615, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-7618","layer":2},{"info":"number node, value=2907","layer":4},{"info":"number node, value=1203","layer":4},{"info":"compute binary expreesion, left_input=2907, right_input=1203, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=9119","layer":4},{"info":"number node, value=4023","layer":4},{"info":"compute binary expreesion, left_input=9119, right_input=4023, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=3550","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3550, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-7618, 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 = t8gj7n24qd, unary_op_definition = 'None', output=nan","layer":0}],"base":13,"result_base":13,"text":"-(⫛⫱⨽⪎⋱⫍20C0)⨓(⪎⋱⫍1CBB⫸⊐⪎⋱⫍B5B)∑⇟⊟(⪎⋱⫍1428+⇶⊼⪎⋱⫍717⫥∨⫟⪎⋱⫍41C6≧⫂∧⪎⋱⫍1AA6)=NaN","reverse_text":"NaN=-(⫛⫱⨽⪎⋱⫍20C0)⨓(⪎⋱⫍1CBB⫸⊐⪎⋱⫍B5B)∑⇟⊟(⪎⋱⫍1428+⇶⊼⪎⋱⫍717⫥∨⫟⪎⋱⫍41C6≧⫂∧⪎⋱⫍1AA6)","cot":[{"info":"⫛⫱⨽⪎⋱⫍20C0=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍1CBB⫸⊐⪎⋱⫍B5B=⪎⋱⫍360A","layer":3},{"info":"⪎⋱⫍0⨓⪎⋱⫍360A=⪎⋱⫍-3610","layer":2},{"info":"⪎⋱⫍1428+⇶⊼⪎⋱⫍717=NaN","layer":3},{"info":"⪎⋱⫍41C6≧⫂∧⪎⋱⫍1AA6=⪎⋱⫍1801","layer":3},{"info":"NaN⫥∨⫟⪎⋱⫍1801=NaN","layer":2},{"info":"⪎⋱⫍-3610∑⇟⊟NaN=NaN","layer":1},{"info":"-NaN=NaN","layer":0}]}
{"id":344,"expression_no_base_symbol":"(($2886$⪒$4431$)⩷∴(⪲⇎$8039$)⋷($2902$⨵⪆$2650$)⫸⊐$1873$⪮%⊝$3241$)⪄(⩦⩻⨪($1093$⪮%⊝$1316$-$7126$≭$3805$))","expression":"((⪎⋱⫍1410⪒⪎⋱⫍202B)⩷∴(⪲⇎⪎⋱⫍3875)⋷(⪎⋱⫍1423⨵⪆⪎⋱⫍128B)⫸⊐⪎⋱⫍B11⪮%⊝⪎⋱⫍1624)⪄(⩦⩻⨪(⪎⋱⫍661⪮%⊝⪎⋱⫍7A3-⪎⋱⫍3322≭⪎⋱⫍1969))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":135,"operation_count":12,"complexity_ratio":11.25,"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":2886,"base":13},"right_expr":{"type":"numeric_atoms","value":4431,"base":13}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":8039,"base":13}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2902,"base":13},"right_expr":{"type":"numeric_atoms","value":2650,"base":13}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1873,"base":13},"right_expr":{"type":"numeric_atoms","value":3241,"base":13}}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1093,"base":13},"right_expr":{"type":"numeric_atoms","value":1316,"base":13}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":7126,"base":13},"right_expr":{"type":"numeric_atoms","value":3805,"base":13}}}}},"used_operators":["SUmda5xLS4","23Mk6UjR3U","9FxExcQeMw","f6k1SAg4EE","XPYlsWDdGa","mqXw5SEYmG","2DQ55sFlQl","IWmyXbctLI","2td37pGCOC","rysDP5nf3Z","rxpJgHHUmx"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2886","layer":4},{"info":"number node, value=4431","layer":4},{"info":"compute binary expreesion, left_input=2886, right_input=4431, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-7317","layer":3},{"info":"number node, value=8039","layer":4},{"info":"compute unary expreesion, input=8039, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=16078","layer":3},{"info":"compute binary expreesion, left_input=-7317, right_input=16078, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-46822","layer":2},{"info":"number node, value=2902","layer":4},{"info":"number node, value=2650","layer":4},{"info":"compute binary expreesion, left_input=2902, right_input=2650, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=1873","layer":4},{"info":"number node, value=3241","layer":4},{"info":"compute binary expreesion, left_input=1873, right_input=3241, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=4062","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=4062, 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":"compute binary expreesion, left_input=-46822, right_input=320, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=93644","layer":1},{"info":"number node, value=1093","layer":4},{"info":"number node, value=1316","layer":4},{"info":"compute binary expreesion, left_input=1093, right_input=1316, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=2502","layer":3},{"info":"number node, value=7126","layer":4},{"info":"number node, value=3805","layer":4},{"info":"compute binary expreesion, left_input=7126, right_input=3805, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=2502, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', 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=93644, 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":13,"result_base":13,"text":"((⪎⋱⫍1410⪒⪎⋱⫍202B)⩷∴(⪲⇎⪎⋱⫍3875)⋷(⪎⋱⫍1423⨵⪆⪎⋱⫍128B)⫸⊐⪎⋱⫍B11⪮%⊝⪎⋱⫍1624)⪄(⩦⩻⨪(⪎⋱⫍661⪮%⊝⪎⋱⫍7A3-⪎⋱⫍3322≭⪎⋱⫍1969))=NaN","reverse_text":"NaN=((⪎⋱⫍1410⪒⪎⋱⫍202B)⩷∴(⪲⇎⪎⋱⫍3875)⋷(⪎⋱⫍1423⨵⪆⪎⋱⫍128B)⫸⊐⪎⋱⫍B11⪮%⊝⪎⋱⫍1624)⪄(⩦⩻⨪(⪎⋱⫍661⪮%⊝⪎⋱⫍7A3-⪎⋱⫍3322≭⪎⋱⫍1969))","cot":[{"info":"⪎⋱⫍1410⪒⪎⋱⫍202B=⪎⋱⫍-343B","layer":3},{"info":"⪲⇎⪎⋱⫍3875=⪎⋱⫍741A","layer":3},{"info":"⪎⋱⫍-343B⩷∴⪎⋱⫍741A=⪎⋱⫍-18409","layer":2},{"info":"⪎⋱⫍1423⨵⪆⪎⋱⫍128B=⪎⋱⫍C4","layer":3},{"info":"⪎⋱⫍B11⪮%⊝⪎⋱⫍1624=⪎⋱⫍1B06","layer":3},{"info":"⪎⋱⫍C4⫸⊐⪎⋱⫍1B06=⪎⋱⫍1B8","layer":2},{"info":"⪎⋱⫍-18409⋷⪎⋱⫍1B8=⪎⋱⫍33815","layer":1},{"info":"⪎⋱⫍661⪮%⊝⪎⋱⫍7A3=⪎⋱⫍11A6","layer":3},{"info":"⪎⋱⫍3322≭⪎⋱⫍1969=NaN","layer":3},{"info":"⪎⋱⫍11A6-NaN=NaN","layer":2},{"info":"⩦⩻⨪NaN=NaN","layer":1},{"info":"⪎⋱⫍33815⪄NaN=NaN","layer":0}]}
{"id":345,"expression_no_base_symbol":"(⨑⩽⪐$1133$⩚⊴⇥$1729$)⋓($1120$⋝⋈⪟$2324$⨳⩥⨓($1243$⊭∹↮))⨎($3202$↺$1886$/(⪝⪂⫅$6465$)⪨≂($1630$⇷$3132$/($5029$⫡⨏$1868$)))","expression":"(⨑⩽⪐⪎⋱⫍692⩚⊴⇥⪎⋱⫍A30)⋓(⪎⋱⫍682⋝⋈⪟⪎⋱⫍109A⨳⩥⨓(⪎⋱⫍748⊭∹↮))⨎(⪎⋱⫍15C4↺⪎⋱⫍B21/(⪝⪂⫅⪎⋱⫍2C34)⪨≂(⪎⋱⫍985⇷⪎⋱⫍156C/(⪎⋱⫍239B⫡⨏⪎⋱⫍B09)))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":23028,"operation_count":14,"complexity_ratio":1644.857142857143,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1133,"base":13},"right_expr":{"type":"numeric_atoms","value":1729,"base":13}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1120,"base":13},"right_expr":{"type":"numeric_atoms","value":2324,"base":13}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":1243,"base":13}}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":3202,"base":13},"right_expr":{"type":"numeric_atoms","value":1886,"base":13}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":6465,"base":13}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1630,"base":13},"right_expr":{"type":"numeric_atoms","value":3132,"base":13}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":5029,"base":13},"right_expr":{"type":"numeric_atoms","value":1868,"base":13}}}}},"used_operators":["rJVOvQCfKK","T2fj7uvVaJ","AF7qkfDlqP","NTOWxs364D","nCS4ZIUYfx","2DDjHMKMc0","xNBdhnnwKq","sdazOOVcIp","XhwjNDsVaA","7j4O788W3g","XTarYq4gQB","mp7IySMOzn","QMFrweE19q"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍79","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1133","layer":4},{"info":"number node, value=1729","layer":4},{"info":"compute binary expreesion, left_input=1133, right_input=1729, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-2983","layer":3},{"info":"compute unary expreesion, input=-2983, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=6755","layer":2},{"info":"number node, value=1120","layer":4},{"info":"number node, value=2324","layer":4},{"info":"compute binary expreesion, left_input=1120, right_input=2324, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1120","layer":3},{"info":"number node, value=1243","layer":4},{"info":"compute unary expreesion, input=1243, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=2486","layer":3},{"info":"compute binary expreesion, left_input=1120, right_input=2486, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=1366","layer":2},{"info":"compute binary expreesion, left_input=6755, right_input=1366, op_id = T2fj7uvVaJ binary_op_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=3202","layer":4},{"info":"number node, value=1886","layer":4},{"info":"compute binary expreesion, left_input=3202, right_input=1886, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1886","layer":3},{"info":"number node, value=6465","layer":4},{"info":"compute unary expreesion, input=6465, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-950355","layer":3},{"info":"compute binary expreesion, left_input=1886, right_input=-950355, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-1","layer":2},{"info":"number node, value=1630","layer":4},{"info":"number node, value=3132","layer":4},{"info":"compute binary expreesion, left_input=1630, right_input=3132, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=6264","layer":3},{"info":"number node, value=5029","layer":4},{"info":"number node, value=1868","layer":4},{"info":"compute binary expreesion, left_input=5029, right_input=1868, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=29664","layer":3},{"info":"compute binary expreesion, left_input=6264, right_input=29664, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":2},{"info":"compute binary expreesion, left_input=-1, 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=100","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=100, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=100","layer":0}],"base":13,"result_base":13,"text":"(⨑⩽⪐⪎⋱⫍692⩚⊴⇥⪎⋱⫍A30)⋓(⪎⋱⫍682⋝⋈⪟⪎⋱⫍109A⨳⩥⨓(⪎⋱⫍748⊭∹↮))⨎(⪎⋱⫍15C4↺⪎⋱⫍B21/(⪝⪂⫅⪎⋱⫍2C34)⪨≂(⪎⋱⫍985⇷⪎⋱⫍156C/(⪎⋱⫍239B⫡⨏⪎⋱⫍B09)))=⪎⋱⫍79","reverse_text":"⪎⋱⫍79=(⨑⩽⪐⪎⋱⫍692⩚⊴⇥⪎⋱⫍A30)⋓(⪎⋱⫍682⋝⋈⪟⪎⋱⫍109A⨳⩥⨓(⪎⋱⫍748⊭∹↮))⨎(⪎⋱⫍15C4↺⪎⋱⫍B21/(⪝⪂⫅⪎⋱⫍2C34)⪨≂(⪎⋱⫍985⇷⪎⋱⫍156C/(⪎⋱⫍239B⫡⨏⪎⋱⫍B09)))","cot":[{"info":"⪎⋱⫍692⩚⊴⇥⪎⋱⫍A30=⪎⋱⫍-1486","layer":3},{"info":"⨑⩽⪐⪎⋱⫍-1486=⪎⋱⫍30C8","layer":2},{"info":"⪎⋱⫍682⋝⋈⪟⪎⋱⫍109A=⪎⋱⫍682","layer":3},{"info":"⪎⋱⫍748⊭∹↮=⪎⋱⫍1193","layer":3},{"info":"⪎⋱⫍682⨳⩥⨓⪎⋱⫍1193=⪎⋱⫍811","layer":2},{"info":"⪎⋱⫍30C8⋓⪎⋱⫍811=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍15C4↺⪎⋱⫍B21=⪎⋱⫍B21","layer":3},{"info":"⪝⪂⫅⪎⋱⫍2C34=⪎⋱⫍-273753","layer":3},{"info":"⪎⋱⫍B21/⪎⋱⫍-273753=⪎⋱⫍-1","layer":2},{"info":"⪎⋱⫍985⇷⪎⋱⫍156C=⪎⋱⫍2B0B","layer":3},{"info":"⪎⋱⫍239B⫡⨏⪎⋱⫍B09=⪎⋱⫍1066B","layer":3},{"info":"⪎⋱⫍2B0B/⪎⋱⫍1066B=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍-1⪨≂⪎⋱⫍0=⪎⋱⫍79","layer":1},{"info":"⪎⋱⫍0⨎⪎⋱⫍79=⪎⋱⫍79","layer":0}]}
{"id":346,"expression_no_base_symbol":"(∂(($1190$↪⪝)⪒(⇁⨣⪵$2574$)))∸","expression":"(∂((⪎⋱⫍707↪⪝)⪒(⇁⨣⪵⪎⋱⫍1230)))∸","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":882,"operation_count":5,"complexity_ratio":176.4,"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":1190,"base":13}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":2574,"base":13}}}}},"used_operators":["o20kRiQErp","Uaa54Peajs","f6k1SAg4EE","l07mrZUIn9","inkyxCbjAn"],"dependent_operators":["tmPS8pqC7x","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","2DDjHMKMc0","B5M0gjZbta"],"result":"⪎⋱⫍108","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1190","layer":4},{"info":"compute unary expreesion, input=1190, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=72806580","layer":3},{"info":"number node, value=2574","layer":4},{"info":"compute unary expreesion, input=2574, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=72806580, 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 = 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 = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":0}],"base":13,"result_base":13,"text":"(∂((⪎⋱⫍707↪⪝)⪒(⇁⨣⪵⪎⋱⫍1230)))∸=⪎⋱⫍108","reverse_text":"⪎⋱⫍108=(∂((⪎⋱⫍707↪⪝)⪒(⇁⨣⪵⪎⋱⫍1230)))∸","cot":[{"info":"⪎⋱⫍707↪⪝=⪎⋱⫍12112122","layer":3},{"info":"⇁⨣⪵⪎⋱⫍1230=NaN","layer":3},{"info":"⪎⋱⫍12112122⪒NaN=NaN","layer":2},{"info":"∂NaN=NaN","layer":1},{"info":"NaN∸=⪎⋱⫍108","layer":0}]}
{"id":347,"expression_no_base_symbol":"(⨵≀≌$1990$⫥∨⫟$2508$)⋥≓≎($4298$⊉≛↸$2079$)⪮%⊝($1279$⋷$1275$)/((⨵≀≌$3432$⨓$2500$)⫡⨏$2006$⊴$1279$⨎($1017$%$1719$))","expression":"(⨵≀≌⪎⋱⫍BA1⫥∨⫟⪎⋱⫍11AC)⋥≓≎(⪎⋱⫍1C58⊉≛↸⪎⋱⫍C3C)⪮%⊝(⪎⋱⫍775⋷⪎⋱⫍771)/((⨵≀≌⪎⋱⫍1740⨓⪎⋱⫍11A4)⫡⨏⪎⋱⫍BB4⊴⪎⋱⫍775⨎(⪎⋱⫍603%⪎⋱⫍A23))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":7862,"operation_count":13,"complexity_ratio":604.7692307692307,"tree":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1990,"base":13},"right_expr":{"type":"numeric_atoms","value":2508,"base":13}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":4298,"base":13},"right_expr":{"type":"numeric_atoms","value":2079,"base":13}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1279,"base":13},"right_expr":{"type":"numeric_atoms","value":1275,"base":13}}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":3432,"base":13},"right_expr":{"type":"numeric_atoms","value":2500,"base":13}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2006,"base":13},"right_expr":{"type":"numeric_atoms","value":1279,"base":13}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1017,"base":13},"right_expr":{"type":"numeric_atoms","value":1719,"base":13}}}}},"used_operators":["XhwjNDsVaA","Qy55tPpLXF","srAu1WTS94","KYD54nUTWz","IWmyXbctLI","DZ8iAZOCBD","23Mk6UjR3U","QMFrweE19q","3ViojmjbAp","rJVOvQCfKK","Nsiff2A1zJ","k8jYdgA6NY"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","8HhzD0ZcuI","rGHVDoGpnC","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1990","layer":4},{"info":"number node, value=2508","layer":4},{"info":"compute binary expreesion, left_input=1990, right_input=2508, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=nan","layer":2},{"info":"number node, value=4298","layer":4},{"info":"number node, value=2079","layer":4},{"info":"compute binary expreesion, left_input=4298, right_input=2079, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=8596","layer":3},{"info":"number node, value=1279","layer":4},{"info":"number node, value=1275","layer":4},{"info":"compute binary expreesion, left_input=1279, right_input=1275, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=1271","layer":3},{"info":"compute binary expreesion, left_input=8596, right_input=1271, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=17508","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=17508, 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=3432","layer":4},{"info":"number node, value=2500","layer":4},{"info":"compute binary expreesion, left_input=3432, right_input=2500, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2503","layer":3},{"info":"compute unary expreesion, input=-2503, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=6265009","layer":2},{"info":"number node, value=2006","layer":4},{"info":"number node, value=1279","layer":4},{"info":"compute binary expreesion, left_input=2006, right_input=1279, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=1017","layer":4},{"info":"number node, value=1719","layer":4},{"info":"compute binary expreesion, left_input=1017, right_input=1719, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1017","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1017, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1017","layer":2},{"info":"compute binary expreesion, left_input=6265009, right_input=1017, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=31327862","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=31327862, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":0}],"base":13,"result_base":13,"text":"(⨵≀≌⪎⋱⫍BA1⫥∨⫟⪎⋱⫍11AC)⋥≓≎(⪎⋱⫍1C58⊉≛↸⪎⋱⫍C3C)⪮%⊝(⪎⋱⫍775⋷⪎⋱⫍771)/((⨵≀≌⪎⋱⫍1740⨓⪎⋱⫍11A4)⫡⨏⪎⋱⫍BB4⊴⪎⋱⫍775⨎(⪎⋱⫍603%⪎⋱⫍A23))=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=(⨵≀≌⪎⋱⫍BA1⫥∨⫟⪎⋱⫍11AC)⋥≓≎(⪎⋱⫍1C58⊉≛↸⪎⋱⫍C3C)⪮%⊝(⪎⋱⫍775⋷⪎⋱⫍771)/((⨵≀≌⪎⋱⫍1740⨓⪎⋱⫍11A4)⫡⨏⪎⋱⫍BB4⊴⪎⋱⫍775⨎(⪎⋱⫍603%⪎⋱⫍A23))","cot":[{"info":"⪎⋱⫍BA1⫥∨⫟⪎⋱⫍11AC=NaN","layer":3},{"info":"⨵≀≌NaN=NaN","layer":2},{"info":"⪎⋱⫍1C58⊉≛↸⪎⋱⫍C3C=⪎⋱⫍3BB3","layer":3},{"info":"⪎⋱⫍775⋷⪎⋱⫍771=⪎⋱⫍76A","layer":3},{"info":"⪎⋱⫍3BB3⪮%⊝⪎⋱⫍76A=⪎⋱⫍7C7A","layer":2},{"info":"NaN⋥≓≎⪎⋱⫍7C7A=⪎⋱⫍52","layer":1},{"info":"⪎⋱⫍1740⨓⪎⋱⫍11A4=⪎⋱⫍-11A7","layer":3},{"info":"⨵≀≌⪎⋱⫍-11A7=⪎⋱⫍13B480A","layer":2},{"info":"⪎⋱⫍BB4⊴⪎⋱⫍775=NaN","layer":3},{"info":"⪎⋱⫍603%⪎⋱⫍A23=⪎⋱⫍603","layer":3},{"info":"NaN⨎⪎⋱⫍603=⪎⋱⫍603","layer":2},{"info":"⪎⋱⫍13B480A⫡⨏⪎⋱⫍603=⪎⋱⫍664B4C7","layer":1},{"info":"⪎⋱⫍52/⪎⋱⫍664B4C7=⪎⋱⫍0","layer":0}]}
{"id":348,"expression_no_base_symbol":"((↩$7774$)⨐⩸⫘($4017$⊘))⊴($1529$≭$1342$∲⫓$3950$∲⫓$4655$)⋝⋈⪟(($1843$⋳⪒$2966$↙($3902$⊭↱$3480$))⨎(⋗⩬⋾$6176$⪮%⊝$4060$))","expression":"((↩⪎⋱⫍3700)⨐⩸⫘(⪎⋱⫍1AA0⊘))⊴(⪎⋱⫍908≭⪎⋱⫍7C3∲⫓⪎⋱⫍1A4B∲⫓⪎⋱⫍2171)⋝⋈⪟((⪎⋱⫍ABA⋳⪒⪎⋱⫍1472↙(⪎⋱⫍1A12⊭↱⪎⋱⫍1779))⨎(⋗⩬⋾⪎⋱⫍2A71⪮%⊝⪎⋱⫍1B04))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":918,"operation_count":14,"complexity_ratio":65.57142857142857,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":7774,"base":13}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":4017,"base":13}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1529,"base":13},"right_expr":{"type":"numeric_atoms","value":1342,"base":13}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":3950,"base":13},"right_expr":{"type":"numeric_atoms","value":4655,"base":13}}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1843,"base":13},"right_expr":{"type":"numeric_atoms","value":2966,"base":13}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":3902,"base":13},"right_expr":{"type":"numeric_atoms","value":3480,"base":13}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":6176,"base":13},"right_expr":{"type":"numeric_atoms","value":4060,"base":13}}}}},"used_operators":["2DDjHMKMc0","Nsiff2A1zJ","fu6greOZ01","jLgFTUHLKL","gu96TGCTMs","i8ToyICDmI","rxpJgHHUmx","rJVOvQCfKK","yyfyN0ffXY","12rbrZMWeM","COABgblf1C","DpFCA1CohY","IWmyXbctLI"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","3ViojmjbAp","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=7774","layer":4},{"info":"compute unary expreesion, input=7774, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-59412","layer":3},{"info":"number node, value=4017","layer":4},{"info":"compute unary expreesion, input=4017, 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=-59412, 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=-59412","layer":2},{"info":"number node, value=1529","layer":4},{"info":"number node, value=1342","layer":4},{"info":"compute binary expreesion, left_input=1529, right_input=1342, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=3950","layer":4},{"info":"number node, value=4655","layer":4},{"info":"compute binary expreesion, left_input=3950, right_input=4655, 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 = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-59412, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=1843","layer":4},{"info":"number node, value=2966","layer":4},{"info":"compute binary expreesion, left_input=1843, right_input=2966, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=433","layer":3},{"info":"number node, value=3902","layer":4},{"info":"number node, value=3480","layer":4},{"info":"compute binary expreesion, left_input=3902, right_input=3480, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-839","layer":3},{"info":"compute binary expreesion, left_input=433, right_input=-839, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-2517","layer":2},{"info":"number node, value=6176","layer":4},{"info":"number node, value=4060","layer":4},{"info":"compute binary expreesion, left_input=6176, right_input=4060, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=12668","layer":3},{"info":"compute unary expreesion, input=12668, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-38004","layer":2},{"info":"compute binary expreesion, left_input=-2517, right_input=-38004, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-38004","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-38004, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((↩⪎⋱⫍3700)⨐⩸⫘(⪎⋱⫍1AA0⊘))⊴(⪎⋱⫍908≭⪎⋱⫍7C3∲⫓⪎⋱⫍1A4B∲⫓⪎⋱⫍2171)⋝⋈⪟((⪎⋱⫍ABA⋳⪒⪎⋱⫍1472↙(⪎⋱⫍1A12⊭↱⪎⋱⫍1779))⨎(⋗⩬⋾⪎⋱⫍2A71⪮%⊝⪎⋱⫍1B04))=NaN","reverse_text":"NaN=((↩⪎⋱⫍3700)⨐⩸⫘(⪎⋱⫍1AA0⊘))⊴(⪎⋱⫍908≭⪎⋱⫍7C3∲⫓⪎⋱⫍1A4B∲⫓⪎⋱⫍2171)⋝⋈⪟((⪎⋱⫍ABA⋳⪒⪎⋱⫍1472↙(⪎⋱⫍1A12⊭↱⪎⋱⫍1779))⨎(⋗⩬⋾⪎⋱⫍2A71⪮%⊝⪎⋱⫍1B04))","cot":[{"info":"↩⪎⋱⫍3700=⪎⋱⫍-21072","layer":3},{"info":"⪎⋱⫍1AA0⊘=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍-21072⨐⩸⫘⪎⋱⫍0=⪎⋱⫍-21072","layer":2},{"info":"⪎⋱⫍908≭⪎⋱⫍7C3=NaN","layer":3},{"info":"⪎⋱⫍1A4B∲⫓⪎⋱⫍2171=⪎⋱⫍0","layer":3},{"info":"NaN∲⫓⪎⋱⫍0=NaN","layer":2},{"info":"⪎⋱⫍-21072⊴NaN=NaN","layer":1},{"info":"⪎⋱⫍ABA⋳⪒⪎⋱⫍1472=⪎⋱⫍274","layer":3},{"info":"⪎⋱⫍1A12⊭↱⪎⋱⫍1779=⪎⋱⫍-4C7","layer":3},{"info":"⪎⋱⫍274↙⪎⋱⫍-4C7=⪎⋱⫍-11B8","layer":2},{"info":"⪎⋱⫍2A71⪮%⊝⪎⋱⫍1B04=⪎⋱⫍59C6","layer":3},{"info":"⋗⩬⋾⪎⋱⫍59C6=⪎⋱⫍-143B5","layer":2},{"info":"⪎⋱⫍-11B8⨎⪎⋱⫍-143B5=⪎⋱⫍-143B5","layer":1},{"info":"NaN⋝⋈⪟⪎⋱⫍-143B5=NaN","layer":0}]}
{"id":349,"expression_no_base_symbol":"(($1780$⫸⊐$1845$)⋥≓≎($2322$*$1815$)/($4331$⪘⫢$1304$)∀⇚≩($2221$⋳⪒$3628$))+⇶⊼(($7490$/$5463$)⇼⇔∾($6175$⫩⊇)*($1011$+⇶⊼$1013$)∼($2081$⪄$5798$))","expression":"((⪎⋱⫍A6C⫸⊐⪎⋱⫍ABC)⋥≓≎(⪎⋱⫍1098*⪎⋱⫍A98)/(⪎⋱⫍1C82⪘⫢⪎⋱⫍794)∀⇚≩(⪎⋱⫍101B⋳⪒⪎⋱⫍1861))+⇶⊼((⪎⋱⫍3542/⪎⋱⫍2643)⇼⇔∾(⪎⋱⫍2A70⫩⊇)*(⪎⋱⫍5CA+⇶⊼⪎⋱⫍5CC)∼(⪎⋱⫍C41⪄⪎⋱⫍2840))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":61738,"operation_count":15,"complexity_ratio":4115.866666666667,"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":1780,"base":13},"right_expr":{"type":"numeric_atoms","value":1845,"base":13}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2322,"base":13},"right_expr":{"type":"numeric_atoms","value":1815,"base":13}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":4331,"base":13},"right_expr":{"type":"numeric_atoms","value":1304,"base":13}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2221,"base":13},"right_expr":{"type":"numeric_atoms","value":3628,"base":13}}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":7490,"base":13},"right_expr":{"type":"numeric_atoms","value":5463,"base":13}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":6175,"base":13}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1011,"base":13},"right_expr":{"type":"numeric_atoms","value":1013,"base":13}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2081,"base":13},"right_expr":{"type":"numeric_atoms","value":5798,"base":13}}}}},"used_operators":["TpPTUOHfaN","XhwjNDsVaA","Qy55tPpLXF","mqXw5SEYmG","9HNa5Wba9A","LRNGc0VcxI","oacrs7FA3X","12rbrZMWeM","tifHPKVTfV","BjRHVeLaeN","DyGG3AbaNP","SUmda5xLS4"],"dependent_operators":["AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","X99M06cbEe","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1780","layer":4},{"info":"number node, value=1845","layer":4},{"info":"compute binary expreesion, left_input=1780, right_input=1845, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=7255","layer":3},{"info":"number node, value=2322","layer":4},{"info":"number node, value=1815","layer":4},{"info":"compute binary expreesion, left_input=2322, right_input=1815, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=4214430","layer":3},{"info":"compute binary expreesion, left_input=7255, right_input=4214430, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=8421638","layer":2},{"info":"number node, value=4331","layer":4},{"info":"number node, value=1304","layer":4},{"info":"compute binary expreesion, left_input=4331, right_input=1304, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=8538","layer":3},{"info":"number node, value=2221","layer":4},{"info":"number node, value=3628","layer":4},{"info":"compute binary expreesion, left_input=2221, right_input=3628, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=527","layer":3},{"info":"compute binary expreesion, left_input=8538, right_input=527, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=8421638, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=7490","layer":4},{"info":"number node, value=5463","layer":4},{"info":"compute binary expreesion, left_input=7490, right_input=5463, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"number node, value=6175","layer":4},{"info":"compute unary expreesion, input=6175, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-6133","layer":3},{"info":"compute binary expreesion, left_input=1, right_input=-6133, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-6134","layer":2},{"info":"number node, value=1011","layer":4},{"info":"number node, value=1013","layer":4},{"info":"compute binary expreesion, left_input=1011, right_input=1013, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=2081","layer":4},{"info":"number node, value=5798","layer":4},{"info":"compute binary expreesion, left_input=2081, right_input=5798, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-327269","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-327269, 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=-6134, 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 = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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":13,"result_base":13,"text":"((⪎⋱⫍A6C⫸⊐⪎⋱⫍ABC)⋥≓≎(⪎⋱⫍1098*⪎⋱⫍A98)/(⪎⋱⫍1C82⪘⫢⪎⋱⫍794)∀⇚≩(⪎⋱⫍101B⋳⪒⪎⋱⫍1861))+⇶⊼((⪎⋱⫍3542/⪎⋱⫍2643)⇼⇔∾(⪎⋱⫍2A70⫩⊇)*(⪎⋱⫍5CA+⇶⊼⪎⋱⫍5CC)∼(⪎⋱⫍C41⪄⪎⋱⫍2840))=NaN","reverse_text":"NaN=((⪎⋱⫍A6C⫸⊐⪎⋱⫍ABC)⋥≓≎(⪎⋱⫍1098*⪎⋱⫍A98)/(⪎⋱⫍1C82⪘⫢⪎⋱⫍794)∀⇚≩(⪎⋱⫍101B⋳⪒⪎⋱⫍1861))+⇶⊼((⪎⋱⫍3542/⪎⋱⫍2643)⇼⇔∾(⪎⋱⫍2A70⫩⊇)*(⪎⋱⫍5CA+⇶⊼⪎⋱⫍5CC)∼(⪎⋱⫍C41⪄⪎⋱⫍2840))","cot":[{"info":"⪎⋱⫍A6C⫸⊐⪎⋱⫍ABC=⪎⋱⫍33C1","layer":3},{"info":"⪎⋱⫍1098*⪎⋱⫍A98=⪎⋱⫍B4735C","layer":3},{"info":"⪎⋱⫍33C1⋥≓≎⪎⋱⫍B4735C=⪎⋱⫍198B324","layer":2},{"info":"⪎⋱⫍1C82⪘⫢⪎⋱⫍794=⪎⋱⫍3B6A","layer":3},{"info":"⪎⋱⫍101B⋳⪒⪎⋱⫍1861=⪎⋱⫍317","layer":3},{"info":"⪎⋱⫍3B6A∀⇚≩⪎⋱⫍317=NaN","layer":2},{"info":"⪎⋱⫍198B324/NaN=NaN","layer":1},{"info":"⪎⋱⫍3542/⪎⋱⫍2643=⪎⋱⫍1","layer":3},{"info":"⪎⋱⫍2A70⫩⊇=⪎⋱⫍-2A3A","layer":3},{"info":"⪎⋱⫍1⇼⇔∾⪎⋱⫍-2A3A=⪎⋱⫍-2A3B","layer":2},{"info":"⪎⋱⫍5CA+⇶⊼⪎⋱⫍5CC=NaN","layer":3},{"info":"⪎⋱⫍C41⪄⪎⋱⫍2840=⪎⋱⫍-B5C67","layer":3},{"info":"NaN∼⪎⋱⫍-B5C67=NaN","layer":2},{"info":"⪎⋱⫍-2A3B*NaN=NaN","layer":1},{"info":"NaN+⇶⊼NaN=NaN","layer":0}]}
{"id":350,"expression_no_base_symbol":"((∂$1011$⨪↰⇹$1579$)≋⫹)⇼⇔∾((↥($2718$-$6393$))⫌⩹⨱)","expression":"((∂⪎⋱⫍5CA⨪↰⇹⪎⋱⫍946)≋⫹)⇼⇔∾((↥(⪎⋱⫍1311-⪎⋱⫍2BAA))⫌⩹⨱)","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1097,"operation_count":7,"complexity_ratio":156.71428571428572,"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":1011,"base":13},"right_expr":{"type":"numeric_atoms","value":1579,"base":13}}}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2718,"base":13},"right_expr":{"type":"numeric_atoms","value":6393,"base":13}}}}},"used_operators":["tifHPKVTfV","N41Kp7NANJ","Uaa54Peajs","tmPS8pqC7x","EBcxylXtPf","A8NUZmVepG","rysDP5nf3Z"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rJVOvQCfKK","W4YGzv6Whe","rysDP5nf3Z","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1011","layer":4},{"info":"number node, value=1579","layer":4},{"info":"compute binary expreesion, left_input=1011, right_input=1579, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1011","layer":3},{"info":"compute unary expreesion, input=1011, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=nan","layer":1},{"info":"number node, value=2718","layer":4},{"info":"number node, value=6393","layer":4},{"info":"compute binary expreesion, left_input=2718, right_input=6393, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-3675","layer":3},{"info":"compute unary expreesion, input=-3675, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=48","layer":2},{"info":"compute unary expreesion, input=48, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=1497","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1497, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((∂⪎⋱⫍5CA⨪↰⇹⪎⋱⫍946)≋⫹)⇼⇔∾((↥(⪎⋱⫍1311-⪎⋱⫍2BAA))⫌⩹⨱)=NaN","reverse_text":"NaN=((∂⪎⋱⫍5CA⨪↰⇹⪎⋱⫍946)≋⫹)⇼⇔∾((↥(⪎⋱⫍1311-⪎⋱⫍2BAA))⫌⩹⨱)","cot":[{"info":"⪎⋱⫍5CA⨪↰⇹⪎⋱⫍946=⪎⋱⫍5CA","layer":3},{"info":"∂⪎⋱⫍5CA=NaN","layer":2},{"info":"NaN≋⫹=NaN","layer":1},{"info":"⪎⋱⫍1311-⪎⋱⫍2BAA=⪎⋱⫍-1899","layer":3},{"info":"↥⪎⋱⫍-1899=⪎⋱⫍39","layer":2},{"info":"⪎⋱⫍39⫌⩹⨱=⪎⋱⫍8B2","layer":1},{"info":"NaN⇼⇔∾⪎⋱⫍8B2=NaN","layer":0}]}
{"id":351,"expression_no_base_symbol":"((⨈⫕$5788$)∑⇟⊟$5473$↬$4949$*((⊥$4278$)+($3657$/$2558$)))⨽($2207$⪢$7035$*$3582$∑⇟⊟$2418$⪨≂(↯⪼($1319$∀⇚≩$3941$)))","expression":"((⨈⫕⪎⋱⫍2833)∑⇟⊟⪎⋱⫍2650↬⪎⋱⫍2339*((⊥⪎⋱⫍1C41)+(⪎⋱⫍1884/⪎⋱⫍121A)))⨽(⪎⋱⫍100A⪢⪎⋱⫍3282*⪎⋱⫍1827∑⇟⊟⪎⋱⫍1140⪨≂(↯⪼(⪎⋱⫍7A6∀⇚≩⪎⋱⫍1A42)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":16708,"operation_count":14,"complexity_ratio":1193.4285714285713,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":5788,"base":13}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":5473,"base":13},"right_expr":{"type":"numeric_atoms","value":4949,"base":13}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":4278,"base":13}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":3657,"base":13},"right_expr":{"type":"numeric_atoms","value":2558,"base":13}}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2207,"base":13},"right_expr":{"type":"numeric_atoms","value":7035,"base":13}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":3582,"base":13},"right_expr":{"type":"numeric_atoms","value":2418,"base":13}}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1319,"base":13},"right_expr":{"type":"numeric_atoms","value":3941,"base":13}}}}},"used_operators":["8HhzD0ZcuI","9HNa5Wba9A","U7g4x0WXJJ","megm06wKyl","B5M0gjZbta","W4YGzv6Whe","Q3PJZHRvZv","XhwjNDsVaA","sdazOOVcIp","dWAJyo7jo9","8jW3W4yZS5","LRNGc0VcxI"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rGHVDoGpnC","fu6greOZ01","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=5788","layer":4},{"info":"compute unary expreesion, input=5788, 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=5473","layer":4},{"info":"number node, value=4949","layer":4},{"info":"compute binary expreesion, left_input=5473, right_input=4949, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=4278","layer":4},{"info":"compute unary expreesion, input=4278, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=3657","layer":4},{"info":"number node, value=2558","layer":4},{"info":"compute binary expreesion, left_input=3657, right_input=2558, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1, op_id = W4YGzv6Whe binary_op_definition= 'None', 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":"number node, value=2207","layer":4},{"info":"number node, value=7035","layer":4},{"info":"compute binary expreesion, left_input=2207, right_input=7035, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=3582","layer":4},{"info":"number node, value=2418","layer":4},{"info":"compute binary expreesion, left_input=3582, right_input=2418, 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 = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=1319","layer":4},{"info":"number node, value=3941","layer":4},{"info":"compute binary expreesion, left_input=1319, right_input=3941, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = 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 = 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 = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⨈⫕⪎⋱⫍2833)∑⇟⊟⪎⋱⫍2650↬⪎⋱⫍2339*((⊥⪎⋱⫍1C41)+(⪎⋱⫍1884/⪎⋱⫍121A)))⨽(⪎⋱⫍100A⪢⪎⋱⫍3282*⪎⋱⫍1827∑⇟⊟⪎⋱⫍1140⪨≂(↯⪼(⪎⋱⫍7A6∀⇚≩⪎⋱⫍1A42)))=NaN","reverse_text":"NaN=((⨈⫕⪎⋱⫍2833)∑⇟⊟⪎⋱⫍2650↬⪎⋱⫍2339*((⊥⪎⋱⫍1C41)+(⪎⋱⫍1884/⪎⋱⫍121A)))⨽(⪎⋱⫍100A⪢⪎⋱⫍3282*⪎⋱⫍1827∑⇟⊟⪎⋱⫍1140⪨≂(↯⪼(⪎⋱⫍7A6∀⇚≩⪎⋱⫍1A42)))","cot":[{"info":"⨈⫕⪎⋱⫍2833=⪎⋱⫍-18","layer":3},{"info":"⪎⋱⫍2650↬⪎⋱⫍2339=NaN","layer":3},{"info":"⪎⋱⫍-18∑⇟⊟NaN=NaN","layer":2},{"info":"⊥⪎⋱⫍1C41=NaN","layer":3},{"info":"⪎⋱⫍1884/⪎⋱⫍121A=⪎⋱⫍1","layer":3},{"info":"NaN+⪎⋱⫍1=NaN","layer":2},{"info":"NaN*NaN=NaN","layer":1},{"info":"⪎⋱⫍100A⪢⪎⋱⫍3282=NaN","layer":3},{"info":"⪎⋱⫍1827∑⇟⊟⪎⋱⫍1140=NaN","layer":3},{"info":"NaN*NaN=NaN","layer":2},{"info":"⪎⋱⫍7A6∀⇚≩⪎⋱⫍1A42=NaN","layer":3},{"info":"↯⪼NaN=⪎⋱⫍-18","layer":2},{"info":"NaN⪨≂⪎⋱⫍-18=NaN","layer":1},{"info":"NaN⨽NaN=NaN","layer":0}]}
{"id":352,"expression_no_base_symbol":"((⨞⊢($2920$/$2842$))∸)⩚⊴⇥((⪲⇎$4609$)⨳⩥⨓($1092$↺$6427$)%(⪲⇎($4454$⫸⊐$2529$)))","expression":"((⨞⊢(⪎⋱⫍1438/⪎⋱⫍13A8))∸)⩚⊴⇥((⪲⇎⪎⋱⫍2137)⨳⩥⨓(⪎⋱⫍660↺⪎⋱⫍2C05)%(⪲⇎(⪎⋱⫍2048⫸⊐⪎⋱⫍11C7)))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":217,"operation_count":10,"complexity_ratio":21.7,"tree":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2920,"base":13},"right_expr":{"type":"numeric_atoms","value":2842,"base":13}}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":4609,"base":13}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1092,"base":13},"right_expr":{"type":"numeric_atoms","value":6427,"base":13}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":4454,"base":13},"right_expr":{"type":"numeric_atoms","value":2529,"base":13}}}}},"used_operators":["NTOWxs364D","o20kRiQErp","xUOZtlo3hN","XhwjNDsVaA","k8jYdgA6NY","nCS4ZIUYfx","XPYlsWDdGa","7j4O788W3g","mqXw5SEYmG"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","tmPS8pqC7x","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"⪎⋱⫍-7C64","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2920","layer":4},{"info":"number node, value=2842","layer":4},{"info":"compute binary expreesion, left_input=2920, right_input=2842, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"compute unary expreesion, input=1, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-175","layer":2},{"info":"compute unary expreesion, input=-175, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":1},{"info":"number node, value=4609","layer":4},{"info":"compute unary expreesion, input=4609, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=9218","layer":3},{"info":"number node, value=1092","layer":4},{"info":"number node, value=6427","layer":4},{"info":"compute binary expreesion, left_input=1092, right_input=6427, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=6427","layer":3},{"info":"compute binary expreesion, left_input=9218, right_input=6427, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-2791","layer":2},{"info":"number node, value=4454","layer":4},{"info":"number node, value=2529","layer":4},{"info":"compute binary expreesion, left_input=4454, right_input=2529, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=9991","layer":3},{"info":"compute unary expreesion, input=9991, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=19982","layer":2},{"info":"compute binary expreesion, left_input=-2791, right_input=19982, op_id = k8jYdgA6NY binary_op_definition= 'None', output=17191","layer":1},{"info":"compute binary expreesion, left_input=177, right_input=17191, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-17489","layer":0}],"base":13,"result_base":13,"text":"((⨞⊢(⪎⋱⫍1438/⪎⋱⫍13A8))∸)⩚⊴⇥((⪲⇎⪎⋱⫍2137)⨳⩥⨓(⪎⋱⫍660↺⪎⋱⫍2C05)%(⪲⇎(⪎⋱⫍2048⫸⊐⪎⋱⫍11C7)))=⪎⋱⫍-7C64","reverse_text":"⪎⋱⫍-7C64=((⨞⊢(⪎⋱⫍1438/⪎⋱⫍13A8))∸)⩚⊴⇥((⪲⇎⪎⋱⫍2137)⨳⩥⨓(⪎⋱⫍660↺⪎⋱⫍2C05)%(⪲⇎(⪎⋱⫍2048⫸⊐⪎⋱⫍11C7)))","cot":[{"info":"⪎⋱⫍1438/⪎⋱⫍13A8=⪎⋱⫍1","layer":3},{"info":"⨞⊢⪎⋱⫍1=⪎⋱⫍-106","layer":2},{"info":"⪎⋱⫍-106∸=⪎⋱⫍108","layer":1},{"info":"⪲⇎⪎⋱⫍2137=⪎⋱⫍4271","layer":3},{"info":"⪎⋱⫍660↺⪎⋱⫍2C05=⪎⋱⫍2C05","layer":3},{"info":"⪎⋱⫍4271⨳⩥⨓⪎⋱⫍2C05=⪎⋱⫍-1369","layer":2},{"info":"⪎⋱⫍2048⫸⊐⪎⋱⫍11C7=⪎⋱⫍4717","layer":3},{"info":"⪲⇎⪎⋱⫍4717=⪎⋱⫍9131","layer":2},{"info":"⪎⋱⫍-1369%⪎⋱⫍9131=⪎⋱⫍7A95","layer":1},{"info":"⪎⋱⫍108⩚⊴⇥⪎⋱⫍7A95=⪎⋱⫍-7C64","layer":0}]}
{"id":353,"expression_no_base_symbol":"(($5867$⪢$6797$≫≃)⫩⊇)⪒(($2277$⨟⋌⩍$1815$⪄($3594$-$1387$))⪐)","expression":"((⪎⋱⫍2894⪢⪎⋱⫍312B≫≃)⫩⊇)⪒((⪎⋱⫍1062⨟⋌⩍⪎⋱⫍A98⪄(⪎⋱⫍1836-⪎⋱⫍829))⪐)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":6835,"operation_count":8,"complexity_ratio":854.375,"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":5867,"base":13},"right_expr":{"type":"numeric_atoms","value":6797,"base":13}}}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2277,"base":13},"right_expr":{"type":"numeric_atoms","value":1815,"base":13}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":3594,"base":13},"right_expr":{"type":"numeric_atoms","value":1387,"base":13}}}}},"used_operators":["f6k1SAg4EE","BjRHVeLaeN","X99M06cbEe","dWAJyo7jo9","eH2TOUuTDT","SUmda5xLS4","rGHVDoGpnC","rysDP5nf3Z"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=5867","layer":4},{"info":"number node, value=6797","layer":4},{"info":"compute binary expreesion, left_input=5867, right_input=6797, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (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":"number node, value=2277","layer":4},{"info":"number node, value=1815","layer":4},{"info":"compute binary expreesion, left_input=2277, right_input=1815, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=3594","layer":4},{"info":"number node, value=1387","layer":4},{"info":"compute binary expreesion, left_input=3594, right_input=1387, op_id = rysDP5nf3Z binary_op_definition= 'None', output=2207","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2207, 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 = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍2894⪢⪎⋱⫍312B≫≃)⫩⊇)⪒((⪎⋱⫍1062⨟⋌⩍⪎⋱⫍A98⪄(⪎⋱⫍1836-⪎⋱⫍829))⪐)=NaN","reverse_text":"NaN=((⪎⋱⫍2894⪢⪎⋱⫍312B≫≃)⫩⊇)⪒((⪎⋱⫍1062⨟⋌⩍⪎⋱⫍A98⪄(⪎⋱⫍1836-⪎⋱⫍829))⪐)","cot":[{"info":"⪎⋱⫍2894⪢⪎⋱⫍312B=NaN","layer":3},{"info":"NaN≫≃=NaN","layer":2},{"info":"NaN⫩⊇=NaN","layer":1},{"info":"⪎⋱⫍1062⨟⋌⩍⪎⋱⫍A98=NaN","layer":3},{"info":"⪎⋱⫍1836-⪎⋱⫍829=⪎⋱⫍100A","layer":3},{"info":"NaN⪄⪎⋱⫍100A=⪎⋱⫍1A71","layer":2},{"info":"⪎⋱⫍1A71⪐=⪎⋱⫍3812","layer":1},{"info":"NaN⪒⪎⋱⫍3812=NaN","layer":0}]}
{"id":354,"expression_no_base_symbol":"($2641$⊉≛↸$1740$)⨓(⊥$1614$)⪒(∂(⩦⩻⨪$4827$))⫡⨏((⇁⨣⪵$7998$)↺$1012$≎⊠⪸$1575$)⨰(($2969$⪄$4494$)⨽(↔$1166$))","expression":"(⪎⋱⫍1282⊉≛↸⪎⋱⫍A3B)⨓(⊥⪎⋱⫍972)⪒(∂(⩦⩻⨪⪎⋱⫍2274))⫡⨏((⇁⨣⪵⪎⋱⫍3843)↺⪎⋱⫍5CB≎⊠⪸⪎⋱⫍942)⨰((⪎⋱⫍1475⪄⪎⋱⫍2079)⨽(↔⪎⋱⫍6B9))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":453891,"operation_count":14,"complexity_ratio":32420.785714285714,"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":2641,"base":13},"right_expr":{"type":"numeric_atoms","value":1740,"base":13}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":1614,"base":13}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":4827,"base":13}}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":7998,"base":13}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1012,"base":13},"right_expr":{"type":"numeric_atoms","value":1575,"base":13}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2969,"base":13},"right_expr":{"type":"numeric_atoms","value":4494,"base":13}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":1166,"base":13}}}}},"used_operators":["QMFrweE19q","f6k1SAg4EE","3ViojmjbAp","DZ8iAZOCBD","Q3PJZHRvZv","Uaa54Peajs","2td37pGCOC","eewbuw0ToL","7j4O788W3g","inkyxCbjAn","bJkvcejdHO","8HhzD0ZcuI","SUmda5xLS4","ruOEQAzv1W"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","fu6greOZ01","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2641","layer":4},{"info":"number node, value=1740","layer":4},{"info":"compute binary expreesion, left_input=2641, right_input=1740, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=5282","layer":3},{"info":"number node, value=1614","layer":4},{"info":"compute unary expreesion, input=1614, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=5282, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":2},{"info":"number node, value=4827","layer":4},{"info":"compute unary expreesion, input=4827, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=4827","layer":3},{"info":"compute unary expreesion, input=4827, 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 = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":1},{"info":"number node, value=7998","layer":4},{"info":"compute unary expreesion, input=7998, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=1012","layer":4},{"info":"number node, value=1575","layer":4},{"info":"compute binary expreesion, left_input=1012, right_input=1575, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=261635","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=261635, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=261635","layer":2},{"info":"number node, value=2969","layer":4},{"info":"number node, value=4494","layer":4},{"info":"compute binary expreesion, left_input=2969, right_input=4494, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-453477","layer":3},{"info":"number node, value=1166","layer":4},{"info":"compute unary expreesion, input=1166, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-893","layer":3},{"info":"compute binary expreesion, left_input=-453477, right_input=-893, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-inf","layer":2},{"info":"compute binary expreesion, left_input=261635, right_input=-inf, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=inf","layer":1},{"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":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍1282⊉≛↸⪎⋱⫍A3B)⨓(⊥⪎⋱⫍972)⪒(∂(⩦⩻⨪⪎⋱⫍2274))⫡⨏((⇁⨣⪵⪎⋱⫍3843)↺⪎⋱⫍5CB≎⊠⪸⪎⋱⫍942)⨰((⪎⋱⫍1475⪄⪎⋱⫍2079)⨽(↔⪎⋱⫍6B9))=NaN","reverse_text":"NaN=(⪎⋱⫍1282⊉≛↸⪎⋱⫍A3B)⨓(⊥⪎⋱⫍972)⪒(∂(⩦⩻⨪⪎⋱⫍2274))⫡⨏((⇁⨣⪵⪎⋱⫍3843)↺⪎⋱⫍5CB≎⊠⪸⪎⋱⫍942)⨰((⪎⋱⫍1475⪄⪎⋱⫍2079)⨽(↔⪎⋱⫍6B9))","cot":[{"info":"⪎⋱⫍1282⊉≛↸⪎⋱⫍A3B=⪎⋱⫍2534","layer":3},{"info":"⊥⪎⋱⫍972=NaN","layer":3},{"info":"⪎⋱⫍2534⨓NaN=NaN","layer":2},{"info":"⩦⩻⨪⪎⋱⫍2274=⪎⋱⫍2274","layer":3},{"info":"∂⪎⋱⫍2274=NaN","layer":2},{"info":"NaN⪒NaN=NaN","layer":1},{"info":"⇁⨣⪵⪎⋱⫍3843=NaN","layer":3},{"info":"⪎⋱⫍5CB≎⊠⪸⪎⋱⫍942=⪎⋱⫍9211A","layer":3},{"info":"NaN↺⪎⋱⫍9211A=⪎⋱⫍9211A","layer":2},{"info":"⪎⋱⫍1475⪄⪎⋱⫍2079=⪎⋱⫍-12B53B","layer":3},{"info":"↔⪎⋱⫍6B9=⪎⋱⫍-539","layer":3},{"info":"⪎⋱⫍-12B53B⨽⪎⋱⫍-539=-Inf","layer":2},{"info":"⪎⋱⫍9211A⨰-Inf=Inf","layer":1},{"info":"NaN⫡⨏Inf=NaN","layer":0}]}
{"id":355,"expression_no_base_symbol":"((⨑⩽⪐$5099$)⪒($6078$+$4166$))⪢($6624$⨐⩸⫘$5546$⨸⪁$9199$≹⇙⪍$1532$)⊠≄⫣","expression":"((⨑⩽⪐⪎⋱⫍2423)⪒(⪎⋱⫍29C7+⪎⋱⫍1B86))⪢(⪎⋱⫍3027⨐⩸⫘⪎⋱⫍26A8⨸⪁⪎⋱⫍4258≹⇙⪍⪎⋱⫍90B)⊠≄⫣","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":17,"operation_count":8,"complexity_ratio":2.125,"tree":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":5099,"base":13}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":6078,"base":13},"right_expr":{"type":"numeric_atoms","value":4166,"base":13}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":6624,"base":13},"right_expr":{"type":"numeric_atoms","value":5546,"base":13}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":9199,"base":13},"right_expr":{"type":"numeric_atoms","value":1532,"base":13}}}}},"used_operators":["DIvbN7qnHd","dWAJyo7jo9","f6k1SAg4EE","AF7qkfDlqP","W4YGzv6Whe","g55IO6H4Gj","fu6greOZ01","AHs5Up7iyr"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","3ViojmjbAp","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5099","layer":4},{"info":"compute unary expreesion, input=5099, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-4826","layer":3},{"info":"number node, value=6078","layer":4},{"info":"number node, value=4166","layer":4},{"info":"compute binary expreesion, left_input=6078, right_input=4166, op_id = W4YGzv6Whe binary_op_definition= 'None', output=10244","layer":3},{"info":"compute binary expreesion, left_input=-4826, right_input=10244, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5418","layer":2},{"info":"number node, value=6624","layer":4},{"info":"number node, value=5546","layer":4},{"info":"compute binary expreesion, left_input=6624, right_input=5546, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=9199","layer":4},{"info":"number node, value=1532","layer":4},{"info":"compute binary expreesion, left_input=9199, right_input=1532, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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 = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-5418, 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 = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⨑⩽⪐⪎⋱⫍2423)⪒(⪎⋱⫍29C7+⪎⋱⫍1B86))⪢(⪎⋱⫍3027⨐⩸⫘⪎⋱⫍26A8⨸⪁⪎⋱⫍4258≹⇙⪍⪎⋱⫍90B)⊠≄⫣=NaN","reverse_text":"NaN=((⨑⩽⪐⪎⋱⫍2423)⪒(⪎⋱⫍29C7+⪎⋱⫍1B86))⪢(⪎⋱⫍3027⨐⩸⫘⪎⋱⫍26A8⨸⪁⪎⋱⫍4258≹⇙⪍⪎⋱⫍90B)⊠≄⫣","cot":[{"info":"⨑⩽⪐⪎⋱⫍2423=⪎⋱⫍-2273","layer":3},{"info":"⪎⋱⫍29C7+⪎⋱⫍1B86=⪎⋱⫍4880","layer":3},{"info":"⪎⋱⫍-2273⪒⪎⋱⫍4880=⪎⋱⫍-260A","layer":2},{"info":"⪎⋱⫍3027⨐⩸⫘⪎⋱⫍26A8=NaN","layer":3},{"info":"⪎⋱⫍4258≹⇙⪍⪎⋱⫍90B=NaN","layer":3},{"info":"NaN⨸⪁NaN=NaN","layer":2},{"info":"⪎⋱⫍-260A⪢NaN=NaN","layer":1},{"info":"NaN⊠≄⫣=NaN","layer":0}]}
{"id":356,"expression_no_base_symbol":"⫓⪴((≦∁($3091$⪨≂$6390$))+(-$5011$)⪢($5648$⩠))","expression":"⫓⪴((≦∁(⪎⋱⫍153A⪨≂⪎⋱⫍2BA7))+(-⪎⋱⫍2386)⪢(⪎⋱⫍2756⩠))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":140,"operation_count":7,"complexity_ratio":20.0,"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":3091,"base":13},"right_expr":{"type":"numeric_atoms","value":6390,"base":13}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":5011,"base":13}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":5648,"base":13}}}}},"used_operators":["eLxqMNBOBk","W4YGzv6Whe","9ICcGScMcE","sdazOOVcIp","dWAJyo7jo9","t8gj7n24qd","sJAwomhLZr"],"dependent_operators":["9HNa5Wba9A","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C"],"result":"⪎⋱⫍2074","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3091","layer":4},{"info":"number node, value=6390","layer":4},{"info":"compute binary expreesion, left_input=3091, right_input=6390, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-6496","layer":3},{"info":"compute unary expreesion, input=-6496, 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=5011","layer":4},{"info":"compute unary expreesion, input=5011, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-5011","layer":3},{"info":"number node, value=5648","layer":4},{"info":"compute unary expreesion, input=5648, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-5011, 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=67, right_input=0, op_id = W4YGzv6Whe binary_op_definition= 'None', output=67","layer":1},{"info":"compute unary expreesion, input=67, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=4489","layer":0}],"base":13,"result_base":13,"text":"⫓⪴((≦∁(⪎⋱⫍153A⪨≂⪎⋱⫍2BA7))+(-⪎⋱⫍2386)⪢(⪎⋱⫍2756⩠))=⪎⋱⫍2074","reverse_text":"⪎⋱⫍2074=⫓⪴((≦∁(⪎⋱⫍153A⪨≂⪎⋱⫍2BA7))+(-⪎⋱⫍2386)⪢(⪎⋱⫍2756⩠))","cot":[{"info":"⪎⋱⫍153A⪨≂⪎⋱⫍2BA7=⪎⋱⫍-2C59","layer":3},{"info":"≦∁⪎⋱⫍-2C59=⪎⋱⫍52","layer":2},{"info":"-⪎⋱⫍2386=⪎⋱⫍-2386","layer":3},{"info":"⪎⋱⫍2756⩠=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍-2386⪢⪎⋱⫍0=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍52+⪎⋱⫍0=⪎⋱⫍52","layer":1},{"info":"⫓⪴⪎⋱⫍52=⪎⋱⫍2074","layer":0}]}
{"id":357,"expression_no_base_symbol":"((($1792$⋝⋈⪟$4664$)≦≮≮)⇼⇔∾(⇁⨣⪵$7558$)+⇶⊼(⨈⫕$2693$))⨳⩥⨓(($2078$⪒$4345$)⨐⩸⫘$1751$⪛$2597$)⋓($3718$⨎$5643$)∼($3629$⋥≓≎$1720$)","expression":"(((⪎⋱⫍A7B⋝⋈⪟⪎⋱⫍217A)≦≮≮)⇼⇔∾(⇁⨣⪵⪎⋱⫍3595)+⇶⊼(⨈⫕⪎⋱⫍12C2))⨳⩥⨓((⪎⋱⫍C3B⪒⪎⋱⫍1C93)⨐⩸⫘⪎⋱⫍A49⪛⪎⋱⫍124A)⋓(⪎⋱⫍1900⨎⪎⋱⫍2751)∼(⪎⋱⫍1862⋥≓≎⪎⋱⫍A24)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1639,"operation_count":14,"complexity_ratio":117.07142857142857,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1792,"base":13},"right_expr":{"type":"numeric_atoms","value":4664,"base":13}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":7558,"base":13}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":2693,"base":13}}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2078,"base":13},"right_expr":{"type":"numeric_atoms","value":4345,"base":13}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1751,"base":13},"right_expr":{"type":"numeric_atoms","value":2597,"base":13}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":3718,"base":13},"right_expr":{"type":"numeric_atoms","value":5643,"base":13}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":3629,"base":13},"right_expr":{"type":"numeric_atoms","value":1720,"base":13}}}}},"used_operators":["nCS4ZIUYfx","tifHPKVTfV","D4vGDi5EA2","2DDjHMKMc0","TpPTUOHfaN","inkyxCbjAn","megm06wKyl","T2fj7uvVaJ","fu6greOZ01","f6k1SAg4EE","uFcxV4UQCh","DyGG3AbaNP","rJVOvQCfKK","Qy55tPpLXF"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","B5M0gjZbta","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1792","layer":4},{"info":"number node, value=4664","layer":4},{"info":"compute binary expreesion, left_input=1792, right_input=4664, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1792","layer":3},{"info":"compute unary expreesion, input=1792, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-5376","layer":2},{"info":"number node, value=7558","layer":4},{"info":"compute unary expreesion, input=7558, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=2693","layer":4},{"info":"compute unary expreesion, input=2693, 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 = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=-5376, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":1},{"info":"number node, value=2078","layer":4},{"info":"number node, value=4345","layer":4},{"info":"compute binary expreesion, left_input=2078, right_input=4345, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-6423","layer":3},{"info":"number node, value=1751","layer":4},{"info":"number node, value=2597","layer":4},{"info":"compute binary expreesion, left_input=1751, right_input=2597, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1751","layer":3},{"info":"compute binary expreesion, left_input=-6423, right_input=1751, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=3718","layer":4},{"info":"number node, value=5643","layer":4},{"info":"compute binary expreesion, left_input=3718, right_input=5643, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=5643","layer":3},{"info":"number node, value=3629","layer":4},{"info":"number node, value=1720","layer":4},{"info":"compute binary expreesion, left_input=3629, right_input=1720, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-156","layer":3},{"info":"compute binary expreesion, left_input=5643, right_input=-156, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(((⪎⋱⫍A7B⋝⋈⪟⪎⋱⫍217A)≦≮≮)⇼⇔∾(⇁⨣⪵⪎⋱⫍3595)+⇶⊼(⨈⫕⪎⋱⫍12C2))⨳⩥⨓((⪎⋱⫍C3B⪒⪎⋱⫍1C93)⨐⩸⫘⪎⋱⫍A49⪛⪎⋱⫍124A)⋓(⪎⋱⫍1900⨎⪎⋱⫍2751)∼(⪎⋱⫍1862⋥≓≎⪎⋱⫍A24)=NaN","reverse_text":"NaN=(((⪎⋱⫍A7B⋝⋈⪟⪎⋱⫍217A)≦≮≮)⇼⇔∾(⇁⨣⪵⪎⋱⫍3595)+⇶⊼(⨈⫕⪎⋱⫍12C2))⨳⩥⨓((⪎⋱⫍C3B⪒⪎⋱⫍1C93)⨐⩸⫘⪎⋱⫍A49⪛⪎⋱⫍124A)⋓(⪎⋱⫍1900⨎⪎⋱⫍2751)∼(⪎⋱⫍1862⋥≓≎⪎⋱⫍A24)","cot":[{"info":"⪎⋱⫍A7B⋝⋈⪟⪎⋱⫍217A=⪎⋱⫍A7B","layer":3},{"info":"⪎⋱⫍A7B≦≮≮=⪎⋱⫍-25A7","layer":2},{"info":"⇁⨣⪵⪎⋱⫍3595=NaN","layer":3},{"info":"⨈⫕⪎⋱⫍12C2=⪎⋱⫍-18","layer":3},{"info":"NaN+⇶⊼⪎⋱⫍-18=NaN","layer":2},{"info":"⪎⋱⫍-25A7⇼⇔∾NaN=NaN","layer":1},{"info":"⪎⋱⫍C3B⪒⪎⋱⫍1C93=⪎⋱⫍-2C01","layer":3},{"info":"⪎⋱⫍A49⪛⪎⋱⫍124A=⪎⋱⫍A49","layer":3},{"info":"⪎⋱⫍-2C01⨐⩸⫘⪎⋱⫍A49=NaN","layer":2},{"info":"⪎⋱⫍1900⨎⪎⋱⫍2751=⪎⋱⫍2751","layer":3},{"info":"⪎⋱⫍1862⋥≓≎⪎⋱⫍A24=⪎⋱⫍-C0","layer":3},{"info":"⪎⋱⫍2751∼⪎⋱⫍-C0=⪎⋱⫍0","layer":2},{"info":"NaN⋓⪎⋱⫍0=⪎⋱⫍0","layer":1},{"info":"NaN⨳⩥⨓⪎⋱⫍0=NaN","layer":0}]}
{"id":358,"expression_no_base_symbol":"($1313$⪒$2595$⪨≂($1217$≫≃))+⇶⊼(($2745$⪒$1270$)↙$2318$∑⇟⊟$3639$)⇼⇔∾(⩦⩻⨪($2389$⨐⩸⫘$6471$⪒$5627$⪮%⊝$1534$))","expression":"(⪎⋱⫍7A0⪒⪎⋱⫍1248⪨≂(⪎⋱⫍728≫≃))+⇶⊼((⪎⋱⫍1332⪒⪎⋱⫍769)↙⪎⋱⫍1094∑⇟⊟⪎⋱⫍186C)⇼⇔∾(⩦⩻⨪(⪎⋱⫍111A⨐⩸⫘⪎⋱⫍2C3A⪒⪎⋱⫍273B⪮%⊝⪎⋱⫍910))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":39,"operation_count":12,"complexity_ratio":3.25,"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":1313,"base":13},"right_expr":{"type":"numeric_atoms","value":2595,"base":13}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":1217,"base":13}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2745,"base":13},"right_expr":{"type":"numeric_atoms","value":1270,"base":13}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":2318,"base":13},"right_expr":{"type":"numeric_atoms","value":3639,"base":13}}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2389,"base":13},"right_expr":{"type":"numeric_atoms","value":6471,"base":13}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":5627,"base":13},"right_expr":{"type":"numeric_atoms","value":1534,"base":13}}}}},"used_operators":["tifHPKVTfV","TpPTUOHfaN","sdazOOVcIp","f6k1SAg4EE","X99M06cbEe","yyfyN0ffXY","U7g4x0WXJJ","2td37pGCOC","fu6greOZ01","IWmyXbctLI"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","tmPS8pqC7x","DpFCA1CohY","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1313","layer":4},{"info":"number node, value=2595","layer":4},{"info":"compute binary expreesion, left_input=1313, right_input=2595, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-3908","layer":3},{"info":"number node, value=1217","layer":4},{"info":"compute unary expreesion, input=1217, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=3835","layer":3},{"info":"compute binary expreesion, left_input=-3908, right_input=3835, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-15384","layer":2},{"info":"number node, value=2745","layer":4},{"info":"number node, value=1270","layer":4},{"info":"compute binary expreesion, left_input=2745, right_input=1270, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4015","layer":3},{"info":"number node, value=2318","layer":4},{"info":"number node, value=3639","layer":4},{"info":"compute binary expreesion, left_input=2318, right_input=3639, 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=-4015, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-4015","layer":2},{"info":"compute binary expreesion, left_input=-15384, right_input=-4015, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=2389","layer":4},{"info":"number node, value=6471","layer":4},{"info":"compute binary expreesion, left_input=2389, right_input=6471, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=5627","layer":4},{"info":"number node, value=1534","layer":4},{"info":"compute binary expreesion, left_input=5627, right_input=1534, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=11570","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=11570, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-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":"compute binary expreesion, left_input=nan, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍7A0⪒⪎⋱⫍1248⪨≂(⪎⋱⫍728≫≃))+⇶⊼((⪎⋱⫍1332⪒⪎⋱⫍769)↙⪎⋱⫍1094∑⇟⊟⪎⋱⫍186C)⇼⇔∾(⩦⩻⨪(⪎⋱⫍111A⨐⩸⫘⪎⋱⫍2C3A⪒⪎⋱⫍273B⪮%⊝⪎⋱⫍910))=NaN","reverse_text":"NaN=(⪎⋱⫍7A0⪒⪎⋱⫍1248⪨≂(⪎⋱⫍728≫≃))+⇶⊼((⪎⋱⫍1332⪒⪎⋱⫍769)↙⪎⋱⫍1094∑⇟⊟⪎⋱⫍186C)⇼⇔∾(⩦⩻⨪(⪎⋱⫍111A⨐⩸⫘⪎⋱⫍2C3A⪒⪎⋱⫍273B⪮%⊝⪎⋱⫍910))","cot":[{"info":"⪎⋱⫍7A0⪒⪎⋱⫍1248=⪎⋱⫍-1A18","layer":3},{"info":"⪎⋱⫍728≫≃=⪎⋱⫍1990","layer":3},{"info":"⪎⋱⫍-1A18⪨≂⪎⋱⫍1990=⪎⋱⫍-7005","layer":2},{"info":"⪎⋱⫍1332⪒⪎⋱⫍769=⪎⋱⫍-1A9B","layer":3},{"info":"⪎⋱⫍1094∑⇟⊟⪎⋱⫍186C=NaN","layer":3},{"info":"⪎⋱⫍-1A9B↙NaN=⪎⋱⫍-1A9B","layer":2},{"info":"⪎⋱⫍-7005+⇶⊼⪎⋱⫍-1A9B=NaN","layer":1},{"info":"⪎⋱⫍111A⨐⩸⫘⪎⋱⫍2C3A=NaN","layer":3},{"info":"⪎⋱⫍273B⪮%⊝⪎⋱⫍910=⪎⋱⫍5360","layer":3},{"info":"NaN⪒⪎⋱⫍5360=NaN","layer":2},{"info":"⩦⩻⨪NaN=NaN","layer":1},{"info":"NaN⇼⇔∾NaN=NaN","layer":0}]}
{"id":359,"expression_no_base_symbol":"↥($1152$⫸⊐$1656$⋷$6521$⫸⊐$2422$)≧⫂∧(($3525$⨎$1151$)⩚⊴⇥($7189$⨐⩸⫘$1440$))","expression":"↥(⪎⋱⫍6A8⫸⊐⪎⋱⫍9A5⋷⪎⋱⫍2C78⫸⊐⪎⋱⫍1144)≧⫂∧((⪎⋱⫍17B2⨎⪎⋱⫍6A7)⩚⊴⇥(⪎⋱⫍3370⨐⩸⫘⪎⋱⫍86A))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":58,"operation_count":8,"complexity_ratio":7.25,"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":1152,"base":13},"right_expr":{"type":"numeric_atoms","value":1656,"base":13}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":6521,"base":13},"right_expr":{"type":"numeric_atoms","value":2422,"base":13}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":3525,"base":13},"right_expr":{"type":"numeric_atoms","value":1151,"base":13}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":7189,"base":13},"right_expr":{"type":"numeric_atoms","value":1440,"base":13}}}}},"used_operators":["A8NUZmVepG","Ph9nP6C5qx","23Mk6UjR3U","mqXw5SEYmG","NTOWxs364D","rJVOvQCfKK","fu6greOZ01"],"dependent_operators":["k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1152","layer":4},{"info":"number node, value=1656","layer":4},{"info":"compute binary expreesion, left_input=1152, right_input=1656, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=6499","layer":3},{"info":"number node, value=6521","layer":4},{"info":"number node, value=2422","layer":4},{"info":"compute binary expreesion, left_input=6521, right_input=2422, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=9563","layer":3},{"info":"compute binary expreesion, left_input=6499, right_input=9563, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=12627","layer":2},{"info":"number node, value=3525","layer":4},{"info":"number node, value=1151","layer":4},{"info":"compute binary expreesion, left_input=3525, right_input=1151, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1151","layer":3},{"info":"number node, value=7189","layer":4},{"info":"number node, value=1440","layer":4},{"info":"compute binary expreesion, left_input=7189, right_input=1440, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=1151, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=12627, 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 = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"↥(⪎⋱⫍6A8⫸⊐⪎⋱⫍9A5⋷⪎⋱⫍2C78⫸⊐⪎⋱⫍1144)≧⫂∧((⪎⋱⫍17B2⨎⪎⋱⫍6A7)⩚⊴⇥(⪎⋱⫍3370⨐⩸⫘⪎⋱⫍86A))=NaN","reverse_text":"NaN=↥(⪎⋱⫍6A8⫸⊐⪎⋱⫍9A5⋷⪎⋱⫍2C78⫸⊐⪎⋱⫍1144)≧⫂∧((⪎⋱⫍17B2⨎⪎⋱⫍6A7)⩚⊴⇥(⪎⋱⫍3370⨐⩸⫘⪎⋱⫍86A))","cot":[{"info":"⪎⋱⫍6A8⫸⊐⪎⋱⫍9A5=⪎⋱⫍2C5C","layer":3},{"info":"⪎⋱⫍2C78⫸⊐⪎⋱⫍1144=⪎⋱⫍4478","layer":3},{"info":"⪎⋱⫍2C5C⋷⪎⋱⫍4478=⪎⋱⫍5994","layer":2},{"info":"⪎⋱⫍17B2⨎⪎⋱⫍6A7=⪎⋱⫍6A7","layer":3},{"info":"⪎⋱⫍3370⨐⩸⫘⪎⋱⫍86A=NaN","layer":3},{"info":"⪎⋱⫍6A7⩚⊴⇥NaN=NaN","layer":2},{"info":"⪎⋱⫍5994≧⫂∧NaN=NaN","layer":1},{"info":"↥NaN=NaN","layer":0}]}
{"id":360,"expression_no_base_symbol":"((⫛⫱⨽$1286$)⨐⩸⫘$2304$≧⫂∧$7939$⨸⪁(⇁⨣⪵($3756$⋫)))⨐⩸⫘(($1814$≧⫂∧$2330$-(↔$5454$))-($8536$%$1777$)⪛($1714$⪨≂$1880$))","expression":"((⫛⫱⨽⪎⋱⫍77C)⨐⩸⫘⪎⋱⫍1083≧⫂∧⪎⋱⫍37C9⨸⪁(⇁⨣⪵(⪎⋱⫍192C⋫)))⨐⩸⫘((⪎⋱⫍A97≧⫂∧⪎⋱⫍10A3-(↔⪎⋱⫍2637))-(⪎⋱⫍3B68%⪎⋱⫍A69)⪛(⪎⋱⫍A1B⪨≂⪎⋱⫍B18))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":5213,"operation_count":14,"complexity_ratio":372.35714285714283,"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":1286,"base":13}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2304,"base":13},"right_expr":{"type":"numeric_atoms","value":7939,"base":13}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":3756,"base":13}}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1814,"base":13},"right_expr":{"type":"numeric_atoms","value":2330,"base":13}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":5454,"base":13}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":8536,"base":13},"right_expr":{"type":"numeric_atoms","value":1777,"base":13}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1714,"base":13},"right_expr":{"type":"numeric_atoms","value":1880,"base":13}}}}},"used_operators":["fu6greOZ01","g55IO6H4Gj","DlLNRPXxWL","Ph9nP6C5qx","inkyxCbjAn","JL8yIekQnl","rysDP5nf3Z","ruOEQAzv1W","uFcxV4UQCh","k8jYdgA6NY","sdazOOVcIp"],"dependent_operators":["3ViojmjbAp","W4YGzv6Whe","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","tmPS8pqC7x","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1286","layer":4},{"info":"compute unary expreesion, input=1286, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=2304","layer":4},{"info":"number node, value=7939","layer":4},{"info":"compute binary expreesion, left_input=2304, right_input=7939, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=7466","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=7466, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=3756","layer":4},{"info":"compute unary expreesion, input=3756, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=3756","layer":3},{"info":"compute unary expreesion, input=3756, 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 = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":1},{"info":"number node, value=1814","layer":4},{"info":"number node, value=2330","layer":4},{"info":"compute binary expreesion, left_input=1814, right_input=2330, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1857","layer":3},{"info":"number node, value=5454","layer":4},{"info":"compute unary expreesion, input=5454, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-5181","layer":3},{"info":"compute binary expreesion, left_input=1857, right_input=-5181, op_id = rysDP5nf3Z binary_op_definition= 'None', output=7038","layer":2},{"info":"number node, value=8536","layer":4},{"info":"number node, value=1777","layer":4},{"info":"compute binary expreesion, left_input=8536, right_input=1777, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1428","layer":3},{"info":"number node, value=1714","layer":4},{"info":"number node, value=1880","layer":4},{"info":"compute binary expreesion, left_input=1714, right_input=1880, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-230","layer":3},{"info":"compute binary expreesion, left_input=1428, right_input=-230, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=-182","layer":2},{"info":"compute binary expreesion, left_input=7038, right_input=-182, op_id = rysDP5nf3Z binary_op_definition= 'None', output=7220","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=7220, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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":13,"result_base":13,"text":"((⫛⫱⨽⪎⋱⫍77C)⨐⩸⫘⪎⋱⫍1083≧⫂∧⪎⋱⫍37C9⨸⪁(⇁⨣⪵(⪎⋱⫍192C⋫)))⨐⩸⫘((⪎⋱⫍A97≧⫂∧⪎⋱⫍10A3-(↔⪎⋱⫍2637))-(⪎⋱⫍3B68%⪎⋱⫍A69)⪛(⪎⋱⫍A1B⪨≂⪎⋱⫍B18))=NaN","reverse_text":"NaN=((⫛⫱⨽⪎⋱⫍77C)⨐⩸⫘⪎⋱⫍1083≧⫂∧⪎⋱⫍37C9⨸⪁(⇁⨣⪵(⪎⋱⫍192C⋫)))⨐⩸⫘((⪎⋱⫍A97≧⫂∧⪎⋱⫍10A3-(↔⪎⋱⫍2637))-(⪎⋱⫍3B68%⪎⋱⫍A69)⪛(⪎⋱⫍A1B⪨≂⪎⋱⫍B18))","cot":[{"info":"⫛⫱⨽⪎⋱⫍77C=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍1083≧⫂∧⪎⋱⫍37C9=⪎⋱⫍3524","layer":3},{"info":"⪎⋱⫍0⨐⩸⫘⪎⋱⫍3524=NaN","layer":2},{"info":"⪎⋱⫍192C⋫=⪎⋱⫍192C","layer":3},{"info":"⇁⨣⪵⪎⋱⫍192C=NaN","layer":2},{"info":"NaN⨸⪁NaN=NaN","layer":1},{"info":"⪎⋱⫍A97≧⫂∧⪎⋱⫍10A3=⪎⋱⫍ACB","layer":3},{"info":"↔⪎⋱⫍2637=⪎⋱⫍-2487","layer":3},{"info":"⪎⋱⫍ACB-⪎⋱⫍-2487=⪎⋱⫍3285","layer":2},{"info":"⪎⋱⫍3B68%⪎⋱⫍A69=⪎⋱⫍85B","layer":3},{"info":"⪎⋱⫍A1B⪨≂⪎⋱⫍B18=⪎⋱⫍-149","layer":3},{"info":"⪎⋱⫍85B⪛⪎⋱⫍-149=⪎⋱⫍-110","layer":2},{"info":"⪎⋱⫍3285-⪎⋱⫍-110=⪎⋱⫍3395","layer":1},{"info":"NaN⨐⩸⫘⪎⋱⫍3395=NaN","layer":0}]}
{"id":361,"expression_no_base_symbol":"⨰⫟⨤(($3005$≋⫹)⨸⪁(⨈⫕$4043$))↬(($1803$*$1103$)⨽$2608$⨟⋌⩍$1611$)","expression":"⨰⫟⨤((⪎⋱⫍14A2≋⫹)⨸⪁(⨈⫕⪎⋱⫍1AC0))↬((⪎⋱⫍A89*⪎⋱⫍66B)⨽⪎⋱⫍1258⨟⋌⩍⪎⋱⫍96C)","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1990244,"operation_count":8,"complexity_ratio":248780.5,"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":3005,"base":13}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":4043,"base":13}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1803,"base":13},"right_expr":{"type":"numeric_atoms","value":1103,"base":13}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2608,"base":13},"right_expr":{"type":"numeric_atoms","value":1611,"base":13}}}}},"used_operators":["Tw270M8GLb","B5M0gjZbta","g55IO6H4Gj","N41Kp7NANJ","megm06wKyl","8HhzD0ZcuI","9HNa5Wba9A","rGHVDoGpnC"],"dependent_operators":["sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rGHVDoGpnC","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3005","layer":4},{"info":"compute unary expreesion, input=3005, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-6010","layer":3},{"info":"number node, value=4043","layer":4},{"info":"compute unary expreesion, input=4043, 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=-6010, right_input=-21, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-12062","layer":2},{"info":"number node, value=1803","layer":4},{"info":"number node, value=1103","layer":4},{"info":"compute binary expreesion, left_input=1803, right_input=1103, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=1988709","layer":3},{"info":"number node, value=2608","layer":4},{"info":"number node, value=1611","layer":4},{"info":"compute binary expreesion, left_input=2608, right_input=1611, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=1988709, 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=-12062, 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 = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⨰⫟⨤((⪎⋱⫍14A2≋⫹)⨸⪁(⨈⫕⪎⋱⫍1AC0))↬((⪎⋱⫍A89*⪎⋱⫍66B)⨽⪎⋱⫍1258⨟⋌⩍⪎⋱⫍96C)=NaN","reverse_text":"NaN=⨰⫟⨤((⪎⋱⫍14A2≋⫹)⨸⪁(⨈⫕⪎⋱⫍1AC0))↬((⪎⋱⫍A89*⪎⋱⫍66B)⨽⪎⋱⫍1258⨟⋌⩍⪎⋱⫍96C)","cot":[{"info":"⪎⋱⫍14A2≋⫹=⪎⋱⫍-2974","layer":3},{"info":"⨈⫕⪎⋱⫍1AC0=⪎⋱⫍-18","layer":3},{"info":"⪎⋱⫍-2974⨸⪁⪎⋱⫍-18=⪎⋱⫍-564B","layer":2},{"info":"⪎⋱⫍A89*⪎⋱⫍66B=⪎⋱⫍548268","layer":3},{"info":"⪎⋱⫍1258⨟⋌⩍⪎⋱⫍96C=NaN","layer":3},{"info":"⪎⋱⫍548268⨽NaN=NaN","layer":2},{"info":"⪎⋱⫍-564B↬NaN=NaN","layer":1},{"info":"⨰⫟⨤NaN=NaN","layer":0}]}
{"id":362,"expression_no_base_symbol":"(($1228$⇼⇔∾$1519$)⋳⪒$4677$⇷$1250$)∑⇟⊟($1157$↬$6496$↙$1790$≧⫂∧$4962$)⪒$2959$≹⇙⪍$4081$≧⫂∧($1024$⨁⊸⫻)⨐⩸⫘(⪝⪂⫅(⪲⇎$1674$))","expression":"((⪎⋱⫍736⇼⇔∾⪎⋱⫍8CB)⋳⪒⪎⋱⫍218A⇷⪎⋱⫍752)∑⇟⊟(⪎⋱⫍6B0↬⪎⋱⫍2C59↙⪎⋱⫍A79≧⫂∧⪎⋱⫍2349)⪒⪎⋱⫍1468≹⇙⪍⪎⋱⫍1B1C≧⫂∧(⪎⋱⫍60A⨁⊸⫻)⨐⩸⫘(⪝⪂⫅(⪲⇎⪎⋱⫍9BA))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":65656,"operation_count":14,"complexity_ratio":4689.714285714285,"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":1228,"base":13},"right_expr":{"type":"numeric_atoms","value":1519,"base":13}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":4677,"base":13},"right_expr":{"type":"numeric_atoms","value":1250,"base":13}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1157,"base":13},"right_expr":{"type":"numeric_atoms","value":6496,"base":13}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1790,"base":13},"right_expr":{"type":"numeric_atoms","value":4962,"base":13}}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2959,"base":13},"right_expr":{"type":"numeric_atoms","value":4081,"base":13}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":1024,"base":13}}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1674,"base":13}}}}},"used_operators":["f6k1SAg4EE","U7g4x0WXJJ","12rbrZMWeM","tifHPKVTfV","mp7IySMOzn","yyfyN0ffXY","B5M0gjZbta","Ph9nP6C5qx","fu6greOZ01","AHs5Up7iyr","glklzrTFfD","XTarYq4gQB","XPYlsWDdGa"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","tmPS8pqC7x","DpFCA1CohY","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","dWAJyo7jo9","W4YGzv6Whe","rysDP5nf3Z","9HNa5Wba9A","8w2t5hMYqp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1228","layer":4},{"info":"number node, value=1519","layer":4},{"info":"compute binary expreesion, left_input=1228, right_input=1519, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=291","layer":3},{"info":"number node, value=4677","layer":4},{"info":"number node, value=1250","layer":4},{"info":"compute binary expreesion, left_input=4677, right_input=1250, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2500","layer":3},{"info":"compute binary expreesion, left_input=291, right_input=2500, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-2205","layer":2},{"info":"number node, value=1157","layer":4},{"info":"number node, value=6496","layer":4},{"info":"compute binary expreesion, left_input=1157, right_input=6496, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=1790","layer":4},{"info":"number node, value=4962","layer":4},{"info":"compute binary expreesion, left_input=1790, right_input=4962, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=4489","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4489, 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=-2205, 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=2959","layer":4},{"info":"number node, value=4081","layer":4},{"info":"compute binary expreesion, left_input=2959, right_input=4081, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=1024","layer":4},{"info":"compute unary expreesion, input=1024, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=1024","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1024, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=551","layer":2},{"info":"number node, value=1674","layer":4},{"info":"compute unary expreesion, input=1674, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=3348","layer":3},{"info":"compute unary expreesion, input=3348, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-492156","layer":2},{"info":"compute binary expreesion, left_input=551, right_input=-492156, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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 = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍736⇼⇔∾⪎⋱⫍8CB)⋳⪒⪎⋱⫍218A⇷⪎⋱⫍752)∑⇟⊟(⪎⋱⫍6B0↬⪎⋱⫍2C59↙⪎⋱⫍A79≧⫂∧⪎⋱⫍2349)⪒⪎⋱⫍1468≹⇙⪍⪎⋱⫍1B1C≧⫂∧(⪎⋱⫍60A⨁⊸⫻)⨐⩸⫘(⪝⪂⫅(⪲⇎⪎⋱⫍9BA))=NaN","reverse_text":"NaN=((⪎⋱⫍736⇼⇔∾⪎⋱⫍8CB)⋳⪒⪎⋱⫍218A⇷⪎⋱⫍752)∑⇟⊟(⪎⋱⫍6B0↬⪎⋱⫍2C59↙⪎⋱⫍A79≧⫂∧⪎⋱⫍2349)⪒⪎⋱⫍1468≹⇙⪍⪎⋱⫍1B1C≧⫂∧(⪎⋱⫍60A⨁⊸⫻)⨐⩸⫘(⪝⪂⫅(⪲⇎⪎⋱⫍9BA))","cot":[{"info":"⪎⋱⫍736⇼⇔∾⪎⋱⫍8CB=⪎⋱⫍195","layer":3},{"info":"⪎⋱⫍218A⇷⪎⋱⫍752=⪎⋱⫍11A4","layer":3},{"info":"⪎⋱⫍195⋳⪒⪎⋱⫍11A4=⪎⋱⫍-1008","layer":2},{"info":"⪎⋱⫍6B0↬⪎⋱⫍2C59=NaN","layer":3},{"info":"⪎⋱⫍A79≧⫂∧⪎⋱⫍2349=⪎⋱⫍2074","layer":3},{"info":"NaN↙⪎⋱⫍2074=NaN","layer":2},{"info":"⪎⋱⫍-1008∑⇟⊟NaN=NaN","layer":1},{"info":"⪎⋱⫍1468≹⇙⪍⪎⋱⫍1B1C=NaN","layer":3},{"info":"⪎⋱⫍60A⨁⊸⫻=⪎⋱⫍60A","layer":3},{"info":"NaN≧⫂∧⪎⋱⫍60A=⪎⋱⫍335","layer":2},{"info":"⪲⇎⪎⋱⫍9BA=⪎⋱⫍16A7","layer":3},{"info":"⪝⪂⫅⪎⋱⫍16A7=⪎⋱⫍-143022","layer":2},{"info":"⪎⋱⫍335⨐⩸⫘⪎⋱⫍-143022=NaN","layer":1},{"info":"NaN⪒NaN=NaN","layer":0}]}
{"id":363,"expression_no_base_symbol":"((↽≂$2970$⨟⋌⩍$3485$)⊉≛↸$4002$⨰$1177$⨎$2098$∑⇟⊟$5932$)⫸⊐(⇁⨣⪵($6098$⨽$2210$)⋓(↣≠⋷$2115$))","expression":"((↽≂⪎⋱⫍1476⨟⋌⩍⪎⋱⫍1781)⊉≛↸⪎⋱⫍1A8B⨰⪎⋱⫍6C7⨎⪎⋱⫍C55∑⇟⊟⪎⋱⫍2914)⫸⊐(⇁⨣⪵(⪎⋱⫍2A11⨽⪎⋱⫍1010)⋓(↣≠⋷⪎⋱⫍C69))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":6142,"operation_count":11,"complexity_ratio":558.3636363636364,"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":2970,"base":13},"right_expr":{"type":"numeric_atoms","value":3485,"base":13}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":4002,"base":13},"right_expr":{"type":"numeric_atoms","value":1177,"base":13}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":2098,"base":13},"right_expr":{"type":"numeric_atoms","value":5932,"base":13}}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":6098,"base":13},"right_expr":{"type":"numeric_atoms","value":2210,"base":13}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":2115,"base":13}}}}},"used_operators":["mqXw5SEYmG","DZ8iAZOCBD","u6S6b8DprG","rGHVDoGpnC","rJVOvQCfKK","eewbuw0ToL","U7g4x0WXJJ","inkyxCbjAn","T2fj7uvVaJ","8HhzD0ZcuI","Asc51vEJeQ"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","B5M0gjZbta","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","XhwjNDsVaA","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2970","layer":4},{"info":"number node, value=3485","layer":4},{"info":"compute binary expreesion, left_input=2970, right_input=3485, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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 = 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=4002","layer":4},{"info":"number node, value=1177","layer":4},{"info":"compute binary expreesion, left_input=4002, right_input=1177, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=2835","layer":3},{"info":"number node, value=2098","layer":4},{"info":"number node, value=5932","layer":4},{"info":"compute binary expreesion, left_input=2098, right_input=5932, 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=2835, 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 = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":1},{"info":"number node, value=6098","layer":4},{"info":"number node, value=2210","layer":4},{"info":"compute binary expreesion, left_input=6098, right_input=2210, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-111562128","layer":3},{"info":"number node, value=2115","layer":4},{"info":"compute unary expreesion, input=2115, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-111562128, right_input=nan, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵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":13,"result_base":13,"text":"((↽≂⪎⋱⫍1476⨟⋌⩍⪎⋱⫍1781)⊉≛↸⪎⋱⫍1A8B⨰⪎⋱⫍6C7⨎⪎⋱⫍C55∑⇟⊟⪎⋱⫍2914)⫸⊐(⇁⨣⪵(⪎⋱⫍2A11⨽⪎⋱⫍1010)⋓(↣≠⋷⪎⋱⫍C69))=NaN","reverse_text":"NaN=((↽≂⪎⋱⫍1476⨟⋌⩍⪎⋱⫍1781)⊉≛↸⪎⋱⫍1A8B⨰⪎⋱⫍6C7⨎⪎⋱⫍C55∑⇟⊟⪎⋱⫍2914)⫸⊐(⇁⨣⪵(⪎⋱⫍2A11⨽⪎⋱⫍1010)⋓(↣≠⋷⪎⋱⫍C69))","cot":[{"info":"⪎⋱⫍1476⨟⋌⩍⪎⋱⫍1781=NaN","layer":3},{"info":"↽≂NaN=NaN","layer":2},{"info":"⪎⋱⫍1A8B⨰⪎⋱⫍6C7=⪎⋱⫍13A1","layer":3},{"info":"⪎⋱⫍C55∑⇟⊟⪎⋱⫍2914=NaN","layer":3},{"info":"⪎⋱⫍13A1⨎NaN=NaN","layer":2},{"info":"NaN⊉≛↸NaN=NaN","layer":1},{"info":"⪎⋱⫍2A11⨽⪎⋱⫍1010=⪎⋱⫍-1A1613C2","layer":3},{"info":"↣≠⋷⪎⋱⫍C69=NaN","layer":3},{"info":"⪎⋱⫍-1A1613C2⋓NaN=NaN","layer":2},{"info":"⇁⨣⪵NaN=NaN","layer":1},{"info":"NaN⫸⊐NaN=NaN","layer":0}]}
{"id":364,"expression_no_base_symbol":"⨈⫕((-$8899$⪮%⊝$1155$)⨸⪁(⨞⊢$6726$)⋝⋈⪟(⨞⊢$2137$))","expression":"⨈⫕((-⪎⋱⫍4087⪮%⊝⪎⋱⫍6AB)⨸⪁(⨞⊢⪎⋱⫍30A5)⋝⋈⪟(⨞⊢⪎⋱⫍C85))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":406,"operation_count":7,"complexity_ratio":58.0,"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":8899,"base":13},"right_expr":{"type":"numeric_atoms","value":1155,"base":13}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":6726,"base":13}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":2137,"base":13}}}}},"used_operators":["megm06wKyl","g55IO6H4Gj","t8gj7n24qd","IWmyXbctLI","2DDjHMKMc0","xUOZtlo3hN"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍-18","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=8899","layer":4},{"info":"number node, value=1155","layer":4},{"info":"compute binary expreesion, left_input=8899, right_input=1155, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=18114","layer":3},{"info":"compute unary expreesion, input=18114, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-18114","layer":2},{"info":"number node, value=6726","layer":4},{"info":"compute unary expreesion, input=6726, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-6900","layer":3},{"info":"number node, value=2137","layer":4},{"info":"compute unary expreesion, input=2137, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-2311","layer":3},{"info":"compute binary expreesion, left_input=-6900, right_input=-2311, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-6900","layer":2},{"info":"compute binary expreesion, left_input=-18114, right_input=-6900, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-50028","layer":1},{"info":"compute unary expreesion, input=-50028, 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":13,"result_base":13,"text":"⨈⫕((-⪎⋱⫍4087⪮%⊝⪎⋱⫍6AB)⨸⪁(⨞⊢⪎⋱⫍30A5)⋝⋈⪟(⨞⊢⪎⋱⫍C85))=⪎⋱⫍-18","reverse_text":"⪎⋱⫍-18=⨈⫕((-⪎⋱⫍4087⪮%⊝⪎⋱⫍6AB)⨸⪁(⨞⊢⪎⋱⫍30A5)⋝⋈⪟(⨞⊢⪎⋱⫍C85))","cot":[{"info":"⪎⋱⫍4087⪮%⊝⪎⋱⫍6AB=⪎⋱⫍8325","layer":3},{"info":"-⪎⋱⫍8325=⪎⋱⫍-8325","layer":2},{"info":"⨞⊢⪎⋱⫍30A5=⪎⋱⫍-31AA","layer":3},{"info":"⨞⊢⪎⋱⫍C85=⪎⋱⫍-108A","layer":3},{"info":"⪎⋱⫍-31AA⋝⋈⪟⪎⋱⫍-108A=⪎⋱⫍-31AA","layer":2},{"info":"⪎⋱⫍-8325⨸⪁⪎⋱⫍-31AA=⪎⋱⫍-19A04","layer":1},{"info":"⨈⫕⪎⋱⫍-19A04=⪎⋱⫍-18","layer":0}]}
{"id":365,"expression_no_base_symbol":"(≤/$5282$≎⊠⪸$4880$)⨓(+⊝⨔(↽≂$5140$))⨎(($1059$≹⇙⪍$1382$↪⪝)*(⨈⫕($1350$-$1841$)))","expression":"(≤/⪎⋱⫍2534≎⊠⪸⪎⋱⫍22B5)⨓(+⊝⨔(↽≂⪎⋱⫍2455))⨎((⪎⋱⫍636≹⇙⪍⪎⋱⫍824↪⪝)*(⨈⫕(⪎⋱⫍7CB-⪎⋱⫍AB8)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2217,"operation_count":11,"complexity_ratio":201.54545454545453,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":5282,"base":13},"right_expr":{"type":"numeric_atoms","value":4880,"base":13}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":5140,"base":13}}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1059,"base":13},"right_expr":{"type":"numeric_atoms","value":1382,"base":13}}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1350,"base":13},"right_expr":{"type":"numeric_atoms","value":1841,"base":13}}}}},"used_operators":["rJVOvQCfKK","3ViojmjbAp","eLAdDNolq6","bJkvcejdHO","DhbWaqg5eL","u6S6b8DprG","9HNa5Wba9A","l07mrZUIn9","AHs5Up7iyr","megm06wKyl","rysDP5nf3Z"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","9HNa5Wba9A","2DDjHMKMc0","dWAJyo7jo9","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5282","layer":4},{"info":"number node, value=4880","layer":4},{"info":"compute binary expreesion, left_input=5282, right_input=4880, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1367565","layer":3},{"info":"compute unary expreesion, input=1367565, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1367081","layer":2},{"info":"number node, value=5140","layer":4},{"info":"compute unary expreesion, input=5140, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-10280","layer":3},{"info":"compute unary expreesion, input=-10280, 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=-1367081, right_input=1522, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1525","layer":1},{"info":"number node, value=1059","layer":4},{"info":"number node, value=1382","layer":4},{"info":"compute binary expreesion, left_input=1059, right_input=1382, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=nan","layer":2},{"info":"number node, value=1350","layer":4},{"info":"number node, value=1841","layer":4},{"info":"compute binary expreesion, left_input=1350, right_input=1841, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-491","layer":3},{"info":"compute unary expreesion, input=-491, 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 = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-1525, 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":13,"result_base":13,"text":"(≤/⪎⋱⫍2534≎⊠⪸⪎⋱⫍22B5)⨓(+⊝⨔(↽≂⪎⋱⫍2455))⨎((⪎⋱⫍636≹⇙⪍⪎⋱⫍824↪⪝)*(⨈⫕(⪎⋱⫍7CB-⪎⋱⫍AB8)))=NaN","reverse_text":"NaN=(≤/⪎⋱⫍2534≎⊠⪸⪎⋱⫍22B5)⨓(+⊝⨔(↽≂⪎⋱⫍2455))⨎((⪎⋱⫍636≹⇙⪍⪎⋱⫍824↪⪝)*(⨈⫕(⪎⋱⫍7CB-⪎⋱⫍AB8)))","cot":[{"info":"⪎⋱⫍2534≎⊠⪸⪎⋱⫍22B5=⪎⋱⫍38B614","layer":3},{"info":"≤/⪎⋱⫍38B614=⪎⋱⫍-38B331","layer":2},{"info":"↽≂⪎⋱⫍2455=⪎⋱⫍-48AA","layer":3},{"info":"+⊝⨔⪎⋱⫍-48AA=⪎⋱⫍901","layer":2},{"info":"⪎⋱⫍-38B331⨓⪎⋱⫍901=⪎⋱⫍-904","layer":1},{"info":"⪎⋱⫍636≹⇙⪍⪎⋱⫍824=NaN","layer":3},{"info":"NaN↪⪝=NaN","layer":2},{"info":"⪎⋱⫍7CB-⪎⋱⫍AB8=⪎⋱⫍-2BA","layer":3},{"info":"⨈⫕⪎⋱⫍-2BA=⪎⋱⫍-18","layer":2},{"info":"NaN*⪎⋱⫍-18=NaN","layer":1},{"info":"⪎⋱⫍-904⨎NaN=NaN","layer":0}]}
{"id":366,"expression_no_base_symbol":"$3787$+⇶⊼$1154$⪄(+⊝⨔$5331$)⇼⇔∾($1105$⩨$1632$)⨽($1346$⊉≛↸$1179$)⨵⪆((↯⪼$2664$)⪒$1240$⨰$2805$/$3267$⨓$5276$↺($4371$/$2431$))","expression":"⪎⋱⫍1954+⇶⊼⪎⋱⫍6AA⪄(+⊝⨔⪎⋱⫍2571)⇼⇔∾(⪎⋱⫍670⩨⪎⋱⫍987)⨽(⪎⋱⫍7C7⊉≛↸⪎⋱⫍6C9)⨵⪆((↯⪼⪎⋱⫍129C)⪒⪎⋱⫍745⨰⪎⋱⫍137A/⪎⋱⫍1644⨓⪎⋱⫍252B↺(⪎⋱⫍1CB3/⪎⋱⫍1150))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":6985,"operation_count":15,"complexity_ratio":465.6666666666667,"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":3787,"base":13},"right_expr":{"type":"numeric_atoms","value":1154,"base":13}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":5331,"base":13}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1105,"base":13},"right_expr":{"type":"numeric_atoms","value":1632,"base":13}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1346,"base":13},"right_expr":{"type":"numeric_atoms","value":1179,"base":13}}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":2664,"base":13}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1240,"base":13},"right_expr":{"type":"numeric_atoms","value":2805,"base":13}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":3267,"base":13},"right_expr":{"type":"numeric_atoms","value":5276,"base":13}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":4371,"base":13},"right_expr":{"type":"numeric_atoms","value":2431,"base":13}}}}},"used_operators":["2DQ55sFlQl","tifHPKVTfV","SUmda5xLS4","TpPTUOHfaN","DhbWaqg5eL","8HhzD0ZcuI","2DlMacCsIx","DZ8iAZOCBD","XhwjNDsVaA","f6k1SAg4EE","8jW3W4yZS5","eewbuw0ToL","7j4O788W3g","3ViojmjbAp"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","AHs5Up7iyr","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"⪎⋱⫍C4","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3787","layer":4},{"info":"number node, value=1154","layer":4},{"info":"compute binary expreesion, left_input=3787, right_input=1154, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=5331","layer":4},{"info":"compute unary expreesion, input=5331, 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=1105","layer":4},{"info":"number node, value=1632","layer":4},{"info":"compute binary expreesion, left_input=1105, right_input=1632, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":3},{"info":"number node, value=1346","layer":4},{"info":"number node, value=1179","layer":4},{"info":"compute binary expreesion, left_input=1346, right_input=1179, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2692","layer":3},{"info":"compute binary expreesion, left_input=-3, right_input=2692, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-6789","layer":2},{"info":"compute binary expreesion, left_input=3979, right_input=-6789, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-10768","layer":1},{"info":"number node, value=2664","layer":4},{"info":"compute unary expreesion, input=2664, 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=1240","layer":4},{"info":"number node, value=2805","layer":4},{"info":"compute binary expreesion, left_input=1240, right_input=2805, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-1555","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=-1555, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=1576","layer":2},{"info":"number node, value=3267","layer":4},{"info":"number node, value=5276","layer":4},{"info":"compute binary expreesion, left_input=3267, right_input=5276, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-5279","layer":3},{"info":"number node, value=4371","layer":4},{"info":"number node, value=2431","layer":4},{"info":"compute binary expreesion, left_input=4371, right_input=2431, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"compute binary expreesion, left_input=-5279, 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=1576, right_input=1, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1576","layer":1},{"info":"compute binary expreesion, left_input=-10768, right_input=1576, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍1954+⇶⊼⪎⋱⫍6AA⪄(+⊝⨔⪎⋱⫍2571)⇼⇔∾(⪎⋱⫍670⩨⪎⋱⫍987)⨽(⪎⋱⫍7C7⊉≛↸⪎⋱⫍6C9)⨵⪆((↯⪼⪎⋱⫍129C)⪒⪎⋱⫍745⨰⪎⋱⫍137A/⪎⋱⫍1644⨓⪎⋱⫍252B↺(⪎⋱⫍1CB3/⪎⋱⫍1150))=⪎⋱⫍C4","reverse_text":"⪎⋱⫍C4=⪎⋱⫍1954+⇶⊼⪎⋱⫍6AA⪄(+⊝⨔⪎⋱⫍2571)⇼⇔∾(⪎⋱⫍670⩨⪎⋱⫍987)⨽(⪎⋱⫍7C7⊉≛↸⪎⋱⫍6C9)⨵⪆((↯⪼⪎⋱⫍129C)⪒⪎⋱⫍745⨰⪎⋱⫍137A/⪎⋱⫍1644⨓⪎⋱⫍252B↺(⪎⋱⫍1CB3/⪎⋱⫍1150))","cot":[{"info":"⪎⋱⫍1954+⇶⊼⪎⋱⫍6AA=NaN","layer":3},{"info":"+⊝⨔⪎⋱⫍2571=⪎⋱⫍901","layer":3},{"info":"NaN⪄⪎⋱⫍901=⪎⋱⫍1A71","layer":2},{"info":"⪎⋱⫍670⩨⪎⋱⫍987=⪎⋱⫍-3","layer":3},{"info":"⪎⋱⫍7C7⊉≛↸⪎⋱⫍6C9=⪎⋱⫍12C1","layer":3},{"info":"⪎⋱⫍-3⨽⪎⋱⫍12C1=⪎⋱⫍-3123","layer":2},{"info":"⪎⋱⫍1A71⇼⇔∾⪎⋱⫍-3123=⪎⋱⫍-4B94","layer":1},{"info":"↯⪼⪎⋱⫍129C=⪎⋱⫍-18","layer":3},{"info":"⪎⋱⫍745⨰⪎⋱⫍137A=⪎⋱⫍-928","layer":3},{"info":"⪎⋱⫍-18⪒⪎⋱⫍-928=⪎⋱⫍943","layer":2},{"info":"⪎⋱⫍1644⨓⪎⋱⫍252B=⪎⋱⫍-2531","layer":3},{"info":"⪎⋱⫍1CB3/⪎⋱⫍1150=⪎⋱⫍1","layer":3},{"info":"⪎⋱⫍-2531↺⪎⋱⫍1=⪎⋱⫍1","layer":2},{"info":"⪎⋱⫍943/⪎⋱⫍1=⪎⋱⫍943","layer":1},{"info":"⪎⋱⫍-4B94⨵⪆⪎⋱⫍943=⪎⋱⫍C4","layer":0}]}
{"id":367,"expression_no_base_symbol":"⪲⇎(($6563$⋷$2195$)↙$5295$⪮%⊝$2891$⇼⇔∾$3378$∀⇚≩$3625$⨓($1172$∲⫓$2676$))","expression":"⪲⇎((⪎⋱⫍2CAB⋷⪎⋱⫍CCB)↙⪎⋱⫍2544⪮%⊝⪎⋱⫍1415⇼⇔∾⪎⋱⫍16CB∀⇚≩⪎⋱⫍185B⨓(⪎⋱⫍6C2∲⫓⪎⋱⫍12AB))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":23672,"operation_count":8,"complexity_ratio":2959.0,"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":6563,"base":13},"right_expr":{"type":"numeric_atoms","value":2195,"base":13}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":5295,"base":13},"right_expr":{"type":"numeric_atoms","value":2891,"base":13}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":3378,"base":13},"right_expr":{"type":"numeric_atoms","value":3625,"base":13}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1172,"base":13},"right_expr":{"type":"numeric_atoms","value":2676,"base":13}}}}},"used_operators":["XPYlsWDdGa","tifHPKVTfV","yyfyN0ffXY","23Mk6UjR3U","IWmyXbctLI","3ViojmjbAp","LRNGc0VcxI","i8ToyICDmI"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=6563","layer":4},{"info":"number node, value=2195","layer":4},{"info":"compute binary expreesion, left_input=6563, right_input=2195, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-2173","layer":3},{"info":"number node, value=5295","layer":4},{"info":"number node, value=2891","layer":4},{"info":"compute binary expreesion, left_input=5295, right_input=2891, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=10906","layer":3},{"info":"compute binary expreesion, left_input=-2173, right_input=10906, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-2173","layer":2},{"info":"number node, value=3378","layer":4},{"info":"number node, value=3625","layer":4},{"info":"compute binary expreesion, left_input=3378, right_input=3625, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=1172","layer":4},{"info":"number node, value=2676","layer":4},{"info":"compute binary expreesion, left_input=1172, right_input=2676, 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 = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-2173, 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 = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⪲⇎((⪎⋱⫍2CAB⋷⪎⋱⫍CCB)↙⪎⋱⫍2544⪮%⊝⪎⋱⫍1415⇼⇔∾⪎⋱⫍16CB∀⇚≩⪎⋱⫍185B⨓(⪎⋱⫍6C2∲⫓⪎⋱⫍12AB))=NaN","reverse_text":"NaN=⪲⇎((⪎⋱⫍2CAB⋷⪎⋱⫍CCB)↙⪎⋱⫍2544⪮%⊝⪎⋱⫍1415⇼⇔∾⪎⋱⫍16CB∀⇚≩⪎⋱⫍185B⨓(⪎⋱⫍6C2∲⫓⪎⋱⫍12AB))","cot":[{"info":"⪎⋱⫍2CAB⋷⪎⋱⫍CCB=⪎⋱⫍-CB2","layer":3},{"info":"⪎⋱⫍2544⪮%⊝⪎⋱⫍1415=⪎⋱⫍4C6C","layer":3},{"info":"⪎⋱⫍-CB2↙⪎⋱⫍4C6C=⪎⋱⫍-CB2","layer":2},{"info":"⪎⋱⫍16CB∀⇚≩⪎⋱⫍185B=NaN","layer":3},{"info":"⪎⋱⫍6C2∲⫓⪎⋱⫍12AB=⪎⋱⫍0","layer":3},{"info":"NaN⨓⪎⋱⫍0=NaN","layer":2},{"info":"⪎⋱⫍-CB2⇼⇔∾NaN=NaN","layer":1},{"info":"⪲⇎NaN=NaN","layer":0}]}
{"id":368,"expression_no_base_symbol":"(($2253$≫≃)⋷(⋗⩬⋾$6904$))⪄(⊄⩳↩(↔$4205$))⩨($3676$⊠≄⫣)∼($1506$↙$1512$)⨪↰⇹($5641$⨳⩥⨓$1775$*($4671$+$3344$))","expression":"((⪎⋱⫍1044≫≃)⋷(⋗⩬⋾⪎⋱⫍31B1))⪄(⊄⩳↩(↔⪎⋱⫍1BB6))⩨(⪎⋱⫍189A⊠≄⫣)∼(⪎⋱⫍8BB↙⪎⋱⫍8C4)⨪↰⇹(⪎⋱⫍274C⨳⩥⨓⪎⋱⫍A67*(⪎⋱⫍2184+⪎⋱⫍16A3))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":5512,"operation_count":14,"complexity_ratio":393.7142857142857,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":2253,"base":13}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":6904,"base":13}}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":4205,"base":13}}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":3676,"base":13}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1506,"base":13},"right_expr":{"type":"numeric_atoms","value":1512,"base":13}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":5641,"base":13},"right_expr":{"type":"numeric_atoms","value":1775,"base":13}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":4671,"base":13},"right_expr":{"type":"numeric_atoms","value":3344,"base":13}}}}},"used_operators":["2DlMacCsIx","SUmda5xLS4","23Mk6UjR3U","X99M06cbEe","DpFCA1CohY","8w2t5hMYqp","ruOEQAzv1W","tmPS8pqC7x","DyGG3AbaNP","DIvbN7qnHd","yyfyN0ffXY","9HNa5Wba9A","nCS4ZIUYfx","W4YGzv6Whe"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rJVOvQCfKK","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2253","layer":4},{"info":"compute unary expreesion, input=2253, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=5907","layer":3},{"info":"number node, value=6904","layer":4},{"info":"compute unary expreesion, input=6904, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-20712","layer":3},{"info":"compute binary expreesion, left_input=5907, right_input=-20712, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-47331","layer":2},{"info":"number node, value=4205","layer":4},{"info":"compute unary expreesion, input=4205, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-3932","layer":3},{"info":"compute unary expreesion, input=-3932, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=11796","layer":2},{"info":"compute binary expreesion, left_input=-47331, right_input=11796, 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=3676","layer":4},{"info":"compute unary expreesion, input=3676, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"number node, value=1506","layer":4},{"info":"number node, value=1512","layer":4},{"info":"compute binary expreesion, left_input=1506, right_input=1512, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-4536","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-4536, 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=5641","layer":4},{"info":"number node, value=1775","layer":4},{"info":"compute binary expreesion, left_input=5641, right_input=1775, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-3866","layer":3},{"info":"number node, value=4671","layer":4},{"info":"number node, value=3344","layer":4},{"info":"compute binary expreesion, left_input=4671, right_input=3344, op_id = W4YGzv6Whe binary_op_definition= 'None', output=8015","layer":3},{"info":"compute binary expreesion, left_input=-3866, right_input=8015, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-30985990","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-30985990, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((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=3979, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍1044≫≃)⋷(⋗⩬⋾⪎⋱⫍31B1))⪄(⊄⩳↩(↔⪎⋱⫍1BB6))⩨(⪎⋱⫍189A⊠≄⫣)∼(⪎⋱⫍8BB↙⪎⋱⫍8C4)⨪↰⇹(⪎⋱⫍274C⨳⩥⨓⪎⋱⫍A67*(⪎⋱⫍2184+⪎⋱⫍16A3))=NaN","reverse_text":"NaN=((⪎⋱⫍1044≫≃)⋷(⋗⩬⋾⪎⋱⫍31B1))⪄(⊄⩳↩(↔⪎⋱⫍1BB6))⩨(⪎⋱⫍189A⊠≄⫣)∼(⪎⋱⫍8BB↙⪎⋱⫍8C4)⨪↰⇹(⪎⋱⫍274C⨳⩥⨓⪎⋱⫍A67*(⪎⋱⫍2184+⪎⋱⫍16A3))","cot":[{"info":"⪎⋱⫍1044≫≃=⪎⋱⫍28C5","layer":3},{"info":"⋗⩬⋾⪎⋱⫍31B1=⪎⋱⫍-9573","layer":3},{"info":"⪎⋱⫍28C5⋷⪎⋱⫍-9573=⪎⋱⫍-1870B","layer":2},{"info":"↔⪎⋱⫍1BB6=⪎⋱⫍-1A36","layer":3},{"info":"⊄⩳↩⪎⋱⫍-1A36=⪎⋱⫍54A5","layer":2},{"info":"⪎⋱⫍-1870B⪄⪎⋱⫍54A5=⪎⋱⫍1A71","layer":1},{"info":"⪎⋱⫍189A⊠≄⫣=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍8BB↙⪎⋱⫍8C4=⪎⋱⫍-20AC","layer":3},{"info":"⪎⋱⫍0∼⪎⋱⫍-20AC=NaN","layer":2},{"info":"⪎⋱⫍274C⨳⩥⨓⪎⋱⫍A67=⪎⋱⫍-19B5","layer":3},{"info":"⪎⋱⫍2184+⪎⋱⫍16A3=⪎⋱⫍3857","layer":3},{"info":"⪎⋱⫍-19B5*⪎⋱⫍3857=⪎⋱⫍-655BA09","layer":2},{"info":"NaN⨪↰⇹⪎⋱⫍-655BA09=NaN","layer":1},{"info":"⪎⋱⫍1A71⩨NaN=NaN","layer":0}]}
{"id":369,"expression_no_base_symbol":"(↣≠⋷($1727$⫌⩹⨱))⨎(($2337$⨸⪁$1917$)≫≃)⇼⇔∾((⫛⫱⨽($2500$⪢$4562$))⇼⇔∾($2019$∼$1079$⊉≛↸(⨵≀≌$5815$)))","expression":"(↣≠⋷(⪎⋱⫍A2B⫌⩹⨱))⨎((⪎⋱⫍10AA⨸⪁⪎⋱⫍B46)≫≃)⇼⇔∾((⫛⫱⨽(⪎⋱⫍11A4⪢⪎⋱⫍20CC))⇼⇔∾(⪎⋱⫍BC4∼⪎⋱⫍650⊉≛↸(⨵≀≌⪎⋱⫍2854)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":5545,"operation_count":12,"complexity_ratio":462.0833333333333,"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":1727,"base":13}}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2337,"base":13},"right_expr":{"type":"numeric_atoms","value":1917,"base":13}}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2500,"base":13},"right_expr":{"type":"numeric_atoms","value":4562,"base":13}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2019,"base":13},"right_expr":{"type":"numeric_atoms","value":1079,"base":13}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":5815,"base":13}}}}},"used_operators":["tifHPKVTfV","rJVOvQCfKK","Asc51vEJeQ","EBcxylXtPf","X99M06cbEe","g55IO6H4Gj","DlLNRPXxWL","dWAJyo7jo9","DZ8iAZOCBD","DyGG3AbaNP","srAu1WTS94"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","XhwjNDsVaA","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","W4YGzv6Whe","rGHVDoGpnC","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1727","layer":4},{"info":"compute unary expreesion, input=1727, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=4855","layer":3},{"info":"compute unary expreesion, input=4855, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"number node, value=2337","layer":4},{"info":"number node, value=1917","layer":4},{"info":"compute binary expreesion, left_input=2337, right_input=1917, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=8508","layer":3},{"info":"compute unary expreesion, input=8508, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=18417","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=18417, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=18417","layer":1},{"info":"number node, value=2500","layer":4},{"info":"number node, value=4562","layer":4},{"info":"compute binary expreesion, left_input=2500, right_input=4562, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=nan","layer":2},{"info":"number node, value=2019","layer":4},{"info":"number node, value=1079","layer":4},{"info":"compute binary expreesion, left_input=2019, right_input=1079, 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=5815","layer":4},{"info":"compute unary expreesion, input=5815, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-17445","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-17445, 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 = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=18417, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(↣≠⋷(⪎⋱⫍A2B⫌⩹⨱))⨎((⪎⋱⫍10AA⨸⪁⪎⋱⫍B46)≫≃)⇼⇔∾((⫛⫱⨽(⪎⋱⫍11A4⪢⪎⋱⫍20CC))⇼⇔∾(⪎⋱⫍BC4∼⪎⋱⫍650⊉≛↸(⨵≀≌⪎⋱⫍2854)))=NaN","reverse_text":"NaN=(↣≠⋷(⪎⋱⫍A2B⫌⩹⨱))⨎((⪎⋱⫍10AA⨸⪁⪎⋱⫍B46)≫≃)⇼⇔∾((⫛⫱⨽(⪎⋱⫍11A4⪢⪎⋱⫍20CC))⇼⇔∾(⪎⋱⫍BC4∼⪎⋱⫍650⊉≛↸(⨵≀≌⪎⋱⫍2854)))","cot":[{"info":"⪎⋱⫍A2B⫌⩹⨱=⪎⋱⫍2296","layer":3},{"info":"↣≠⋷⪎⋱⫍2296=NaN","layer":2},{"info":"⪎⋱⫍10AA⨸⪁⪎⋱⫍B46=⪎⋱⫍3B46","layer":3},{"info":"⪎⋱⫍3B46≫≃=⪎⋱⫍84C9","layer":2},{"info":"NaN⨎⪎⋱⫍84C9=⪎⋱⫍84C9","layer":1},{"info":"⪎⋱⫍11A4⪢⪎⋱⫍20CC=NaN","layer":3},{"info":"⫛⫱⨽NaN=NaN","layer":2},{"info":"⪎⋱⫍BC4∼⪎⋱⫍650=NaN","layer":3},{"info":"⨵≀≌⪎⋱⫍2854=⪎⋱⫍-7C2C","layer":3},{"info":"NaN⊉≛↸⪎⋱⫍-7C2C=NaN","layer":2},{"info":"NaN⇼⇔∾NaN=NaN","layer":1},{"info":"⪎⋱⫍84C9⇼⇔∾NaN=NaN","layer":0}]}
{"id":370,"expression_no_base_symbol":"(($1836$⨓$1558$)∀⇚≩(⊥$4152$)⨎(↔($1703$⨵⪆$5789$)))∼(($1764$⊭↱$3016$⊉≛↸$3451$⋓$2967$)∼($2742$⪮%⊝$2798$⨓($1829$⫡⨏$3563$)))","expression":"((⪎⋱⫍AB3⨓⪎⋱⫍92B)∀⇚≩(⊥⪎⋱⫍1B75)⨎(↔(⪎⋱⫍A10⨵⪆⪎⋱⫍2834)))∼((⪎⋱⫍A59⊭↱⪎⋱⫍14B0⊉≛↸⪎⋱⫍1756⋓⪎⋱⫍1473)∼(⪎⋱⫍132C⪮%⊝⪎⋱⫍1373⨓(⪎⋱⫍AA9⫡⨏⪎⋱⫍1811)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":29702,"operation_count":14,"complexity_ratio":2121.5714285714284,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1836,"base":13},"right_expr":{"type":"numeric_atoms","value":1558,"base":13}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":4152,"base":13}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1703,"base":13},"right_expr":{"type":"numeric_atoms","value":5789,"base":13}}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1764,"base":13},"right_expr":{"type":"numeric_atoms","value":3016,"base":13}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":3451,"base":13},"right_expr":{"type":"numeric_atoms","value":2967,"base":13}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2742,"base":13},"right_expr":{"type":"numeric_atoms","value":2798,"base":13}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1829,"base":13},"right_expr":{"type":"numeric_atoms","value":3563,"base":13}}}}},"used_operators":["DyGG3AbaNP","rJVOvQCfKK","LRNGc0VcxI","3ViojmjbAp","Q3PJZHRvZv","ruOEQAzv1W","2DQ55sFlQl","DZ8iAZOCBD","COABgblf1C","T2fj7uvVaJ","IWmyXbctLI","QMFrweE19q"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","X99M06cbEe","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","fu6greOZ01","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1836","layer":4},{"info":"number node, value=1558","layer":4},{"info":"compute binary expreesion, left_input=1836, right_input=1558, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1561","layer":3},{"info":"number node, value=4152","layer":4},{"info":"compute unary expreesion, input=4152, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-1561, 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=1703","layer":4},{"info":"number node, value=5789","layer":4},{"info":"compute binary expreesion, left_input=1703, right_input=5789, 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 binary expreesion, left_input=nan, right_input=113, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=113","layer":1},{"info":"number node, value=1764","layer":4},{"info":"number node, value=3016","layer":4},{"info":"compute binary expreesion, left_input=1764, right_input=3016, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=2509","layer":3},{"info":"number node, value=3451","layer":4},{"info":"number node, value=2967","layer":4},{"info":"compute binary expreesion, left_input=3451, right_input=2967, op_id = T2fj7uvVaJ binary_op_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=2509, right_input=0, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=5018","layer":2},{"info":"number node, value=2742","layer":4},{"info":"number node, value=2798","layer":4},{"info":"compute binary expreesion, left_input=2742, right_input=2798, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=5800","layer":3},{"info":"number node, value=1829","layer":4},{"info":"number node, value=3563","layer":4},{"info":"compute binary expreesion, left_input=1829, right_input=3563, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=17054","layer":3},{"info":"compute binary expreesion, left_input=5800, right_input=17054, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-17057","layer":2},{"info":"compute binary expreesion, left_input=5018, right_input=-17057, 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=113, 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":13,"result_base":13,"text":"((⪎⋱⫍AB3⨓⪎⋱⫍92B)∀⇚≩(⊥⪎⋱⫍1B75)⨎(↔(⪎⋱⫍A10⨵⪆⪎⋱⫍2834)))∼((⪎⋱⫍A59⊭↱⪎⋱⫍14B0⊉≛↸⪎⋱⫍1756⋓⪎⋱⫍1473)∼(⪎⋱⫍132C⪮%⊝⪎⋱⫍1373⨓(⪎⋱⫍AA9⫡⨏⪎⋱⫍1811)))=NaN","reverse_text":"NaN=((⪎⋱⫍AB3⨓⪎⋱⫍92B)∀⇚≩(⊥⪎⋱⫍1B75)⨎(↔(⪎⋱⫍A10⨵⪆⪎⋱⫍2834)))∼((⪎⋱⫍A59⊭↱⪎⋱⫍14B0⊉≛↸⪎⋱⫍1756⋓⪎⋱⫍1473)∼(⪎⋱⫍132C⪮%⊝⪎⋱⫍1373⨓(⪎⋱⫍AA9⫡⨏⪎⋱⫍1811)))","cot":[{"info":"⪎⋱⫍AB3⨓⪎⋱⫍92B=⪎⋱⫍-931","layer":3},{"info":"⊥⪎⋱⫍1B75=NaN","layer":3},{"info":"⪎⋱⫍-931∀⇚≩NaN=NaN","layer":2},{"info":"⪎⋱⫍A10⨵⪆⪎⋱⫍2834=⪎⋱⫍C4","layer":3},{"info":"↔⪎⋱⫍C4=⪎⋱⫍89","layer":2},{"info":"NaN⨎⪎⋱⫍89=⪎⋱⫍89","layer":1},{"info":"⪎⋱⫍A59⊭↱⪎⋱⫍14B0=⪎⋱⫍11B0","layer":3},{"info":"⪎⋱⫍1756⋓⪎⋱⫍1473=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍11B0⊉≛↸⪎⋱⫍0=⪎⋱⫍2390","layer":2},{"info":"⪎⋱⫍132C⪮%⊝⪎⋱⫍1373=⪎⋱⫍2842","layer":3},{"info":"⪎⋱⫍AA9⫡⨏⪎⋱⫍1811=⪎⋱⫍79BB","layer":3},{"info":"⪎⋱⫍2842⨓⪎⋱⫍79BB=⪎⋱⫍-79C1","layer":2},{"info":"⪎⋱⫍2390∼⪎⋱⫍-79C1=NaN","layer":1},{"info":"⪎⋱⫍89∼NaN=NaN","layer":0}]}
{"id":371,"expression_no_base_symbol":"(⊙↵-((↥$8165$)/(⪲⇎$7136$)))⪨≂(($1480$⋝⋈⪟$4704$)⊴(⊙↵-$1553$)≦≮≮)","expression":"(⊙↵-((↥⪎⋱⫍3941)/(⪲⇎⪎⋱⫍332C)))⪨≂((⪎⋱⫍89B⋝⋈⪟⪎⋱⫍21AB)⊴(⊙↵-⪎⋱⫍926)≦≮≮)","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":3286,"operation_count":9,"complexity_ratio":365.1111111111111,"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":8165,"base":13}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":7136,"base":13}}}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1480,"base":13},"right_expr":{"type":"numeric_atoms","value":4704,"base":13}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1553,"base":13}}}}},"used_operators":["sdazOOVcIp","oWn0xqSxBt","XhwjNDsVaA","A8NUZmVepG","XPYlsWDdGa","D4vGDi5EA2","Nsiff2A1zJ","2DDjHMKMc0"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍-228","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=8165","layer":4},{"info":"compute unary expreesion, input=8165, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=5","layer":3},{"info":"number node, value=7136","layer":4},{"info":"compute unary expreesion, input=7136, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=14272","layer":3},{"info":"compute binary expreesion, left_input=5, right_input=14272, op_id = XhwjNDsVaA binary_op_definition= 'None', 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=1480","layer":4},{"info":"number node, value=4704","layer":4},{"info":"compute binary expreesion, left_input=1480, right_input=4704, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1480","layer":3},{"info":"number node, value=1553","layer":4},{"info":"compute unary expreesion, input=1553, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=1480, right_input=-1, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=-79","layer":2},{"info":"compute unary expreesion, input=-79, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=237","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=237, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-372","layer":0}],"base":13,"result_base":13,"text":"(⊙↵-((↥⪎⋱⫍3941)/(⪲⇎⪎⋱⫍332C)))⪨≂((⪎⋱⫍89B⋝⋈⪟⪎⋱⫍21AB)⊴(⊙↵-⪎⋱⫍926)≦≮≮)=⪎⋱⫍-228","reverse_text":"⪎⋱⫍-228=(⊙↵-((↥⪎⋱⫍3941)/(⪲⇎⪎⋱⫍332C)))⪨≂((⪎⋱⫍89B⋝⋈⪟⪎⋱⫍21AB)⊴(⊙↵-⪎⋱⫍926)≦≮≮)","cot":[{"info":"↥⪎⋱⫍3941=⪎⋱⫍5","layer":3},{"info":"⪲⇎⪎⋱⫍332C=⪎⋱⫍665B","layer":3},{"info":"⪎⋱⫍5/⪎⋱⫍665B=⪎⋱⫍0","layer":2},{"info":"⊙↵-⪎⋱⫍0=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍89B⋝⋈⪟⪎⋱⫍21AB=⪎⋱⫍89B","layer":3},{"info":"⊙↵-⪎⋱⫍926=⪎⋱⫍-1","layer":3},{"info":"⪎⋱⫍89B⊴⪎⋱⫍-1=⪎⋱⫍-61","layer":2},{"info":"⪎⋱⫍-61≦≮≮=⪎⋱⫍153","layer":1},{"info":"⪎⋱⫍0⪨≂⪎⋱⫍153=⪎⋱⫍-228","layer":0}]}
{"id":372,"expression_no_base_symbol":"⨈⫕$1466$⨓$7100$⋝⋈⪟($1996$↙$5850$)⫸⊐$1057$∑⇟⊟$2546$⋝⋈⪟(↔$1014$)","expression":"⨈⫕⪎⋱⫍88A⨓⪎⋱⫍3302⋝⋈⪟(⪎⋱⫍BA7↙⪎⋱⫍2880)⫸⊐⪎⋱⫍634∑⇟⊟⪎⋱⫍120B⋝⋈⪟(↔⪎⋱⫍600)","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":13363,"operation_count":8,"complexity_ratio":1670.375,"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":1466,"base":13},"right_expr":{"type":"numeric_atoms","value":7100,"base":13}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1996,"base":13},"right_expr":{"type":"numeric_atoms","value":5850,"base":13}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1057,"base":13},"right_expr":{"type":"numeric_atoms","value":2546,"base":13}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":1014,"base":13}}}}},"used_operators":["megm06wKyl","mqXw5SEYmG","2DDjHMKMc0","3ViojmjbAp","yyfyN0ffXY","U7g4x0WXJJ","ruOEQAzv1W"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","tmPS8pqC7x","DpFCA1CohY","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp"],"result":"⪎⋱⫍-18","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1466","layer":4},{"info":"number node, value=7100","layer":4},{"info":"compute binary expreesion, left_input=1466, right_input=7100, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-7103","layer":3},{"info":"number node, value=1996","layer":4},{"info":"number node, value=5850","layer":4},{"info":"compute binary expreesion, left_input=1996, right_input=5850, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-17550","layer":3},{"info":"compute binary expreesion, left_input=-7103, right_input=-17550, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-7103","layer":2},{"info":"number node, value=1057","layer":4},{"info":"number node, value=2546","layer":4},{"info":"compute binary expreesion, left_input=1057, right_input=2546, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=1014","layer":4},{"info":"compute unary expreesion, input=1014, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-741","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-741, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-7103, right_input=nan, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=968","layer":1},{"info":"compute unary expreesion, input=968, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":0}],"base":13,"result_base":13,"text":"⨈⫕⪎⋱⫍88A⨓⪎⋱⫍3302⋝⋈⪟(⪎⋱⫍BA7↙⪎⋱⫍2880)⫸⊐⪎⋱⫍634∑⇟⊟⪎⋱⫍120B⋝⋈⪟(↔⪎⋱⫍600)=⪎⋱⫍-18","reverse_text":"⪎⋱⫍-18=⨈⫕⪎⋱⫍88A⨓⪎⋱⫍3302⋝⋈⪟(⪎⋱⫍BA7↙⪎⋱⫍2880)⫸⊐⪎⋱⫍634∑⇟⊟⪎⋱⫍120B⋝⋈⪟(↔⪎⋱⫍600)","cot":[{"info":"⪎⋱⫍88A⨓⪎⋱⫍3302=⪎⋱⫍-3305","layer":3},{"info":"⪎⋱⫍BA7↙⪎⋱⫍2880=⪎⋱⫍-7CB0","layer":3},{"info":"⪎⋱⫍-3305⋝⋈⪟⪎⋱⫍-7CB0=⪎⋱⫍-3305","layer":2},{"info":"⪎⋱⫍634∑⇟⊟⪎⋱⫍120B=NaN","layer":3},{"info":"↔⪎⋱⫍600=⪎⋱⫍-450","layer":3},{"info":"NaN⋝⋈⪟⪎⋱⫍-450=NaN","layer":2},{"info":"⪎⋱⫍-3305⫸⊐NaN=⪎⋱⫍596","layer":1},{"info":"⨈⫕⪎⋱⫍596=⪎⋱⫍-18","layer":0}]}
{"id":373,"expression_no_base_symbol":"↩(⫓⪴($2471$⋳⪒$6154$)⪮%⊝($4613$∀⇚≩$7312$))","expression":"↩(⫓⪴(⪎⋱⫍1181⋳⪒⪎⋱⫍2A55)⪮%⊝(⪎⋱⫍213B∀⇚≩⪎⋱⫍3436))","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":32327,"operation_count":5,"complexity_ratio":6465.4,"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":2471,"base":13},"right_expr":{"type":"numeric_atoms","value":6154,"base":13}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":4613,"base":13},"right_expr":{"type":"numeric_atoms","value":7312,"base":13}}}}},"used_operators":["jLgFTUHLKL","eLxqMNBOBk","IWmyXbctLI","12rbrZMWeM","LRNGc0VcxI"],"dependent_operators":["sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","9HNa5Wba9A","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2471","layer":4},{"info":"number node, value=6154","layer":4},{"info":"compute binary expreesion, left_input=2471, right_input=6154, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-1499","layer":3},{"info":"number node, value=4613","layer":4},{"info":"number node, value=7312","layer":4},{"info":"compute binary expreesion, left_input=4613, right_input=7312, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=-1499, 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 = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*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":13,"result_base":13,"text":"↩(⫓⪴(⪎⋱⫍1181⋳⪒⪎⋱⫍2A55)⪮%⊝(⪎⋱⫍213B∀⇚≩⪎⋱⫍3436))=NaN","reverse_text":"NaN=↩(⫓⪴(⪎⋱⫍1181⋳⪒⪎⋱⫍2A55)⪮%⊝(⪎⋱⫍213B∀⇚≩⪎⋱⫍3436))","cot":[{"info":"⪎⋱⫍1181⋳⪒⪎⋱⫍2A55=⪎⋱⫍-8B4","layer":3},{"info":"⪎⋱⫍213B∀⇚≩⪎⋱⫍3436=NaN","layer":3},{"info":"⪎⋱⫍-8B4⪮%⊝NaN=NaN","layer":2},{"info":"⫓⪴NaN=NaN","layer":1},{"info":"↩NaN=NaN","layer":0}]}
{"id":374,"expression_no_base_symbol":"($1481$↬$3058$↛⩡⫤)⪛($5783$⨰$3462$⪄($2987$%$1993$))⋥≓≎((∥⊫$1157$)≹⇙⪍($3729$⫸⊐$1889$)⊠≄⫣)","expression":"(⪎⋱⫍89C↬⪎⋱⫍1513↛⩡⫤)⪛(⪎⋱⫍282B⨰⪎⋱⫍1764⪄(⪎⋱⫍148A%⪎⋱⫍BA4))⋥≓≎((∥⊫⪎⋱⫍6B0)≹⇙⪍(⪎⋱⫍190B⫸⊐⪎⋱⫍B24)⊠≄⫣)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":204,"operation_count":11,"complexity_ratio":18.545454545454547,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1481,"base":13},"right_expr":{"type":"numeric_atoms","value":3058,"base":13}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":5783,"base":13},"right_expr":{"type":"numeric_atoms","value":3462,"base":13}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2987,"base":13},"right_expr":{"type":"numeric_atoms","value":1993,"base":13}}}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":1157,"base":13}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":3729,"base":13},"right_expr":{"type":"numeric_atoms","value":1889,"base":13}}}}},"used_operators":["Qy55tPpLXF","uFcxV4UQCh","FU0Cs4j7VP","B5M0gjZbta","SUmda5xLS4","eewbuw0ToL","k8jYdgA6NY","DIvbN7qnHd","AHs5Up7iyr","P8v4zCKN1o","mqXw5SEYmG"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","rGHVDoGpnC","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"⪎⋱⫍52","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1481","layer":4},{"info":"number node, value=3058","layer":4},{"info":"compute binary expreesion, left_input=1481, right_input=3058, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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":"number node, value=5783","layer":4},{"info":"number node, value=3462","layer":4},{"info":"compute binary expreesion, left_input=5783, right_input=3462, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=2331","layer":3},{"info":"number node, value=2987","layer":4},{"info":"number node, value=1993","layer":4},{"info":"compute binary expreesion, left_input=2987, right_input=1993, op_id = k8jYdgA6NY binary_op_definition= 'None', output=994","layer":3},{"info":"compute binary expreesion, left_input=2331, right_input=994, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-345053","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-345053, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":1},{"info":"number node, value=1157","layer":4},{"info":"compute unary expreesion, input=1157, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2025","layer":3},{"info":"number node, value=3729","layer":4},{"info":"number node, value=1889","layer":4},{"info":"compute binary expreesion, left_input=3729, right_input=1889, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=7431","layer":3},{"info":"compute binary expreesion, left_input=2025, right_input=7431, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 = DIvbN7qnHd, unary_op_definition = '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":13,"result_base":13,"text":"(⪎⋱⫍89C↬⪎⋱⫍1513↛⩡⫤)⪛(⪎⋱⫍282B⨰⪎⋱⫍1764⪄(⪎⋱⫍148A%⪎⋱⫍BA4))⋥≓≎((∥⊫⪎⋱⫍6B0)≹⇙⪍(⪎⋱⫍190B⫸⊐⪎⋱⫍B24)⊠≄⫣)=⪎⋱⫍52","reverse_text":"⪎⋱⫍52=(⪎⋱⫍89C↬⪎⋱⫍1513↛⩡⫤)⪛(⪎⋱⫍282B⨰⪎⋱⫍1764⪄(⪎⋱⫍148A%⪎⋱⫍BA4))⋥≓≎((∥⊫⪎⋱⫍6B0)≹⇙⪍(⪎⋱⫍190B⫸⊐⪎⋱⫍B24)⊠≄⫣)","cot":[{"info":"⪎⋱⫍89C↬⪎⋱⫍1513=NaN","layer":3},{"info":"NaN↛⩡⫤=NaN","layer":2},{"info":"⪎⋱⫍282B⨰⪎⋱⫍1764=⪎⋱⫍10A4","layer":3},{"info":"⪎⋱⫍148A%⪎⋱⫍BA4=⪎⋱⫍5B6","layer":3},{"info":"⪎⋱⫍10A4⪄⪎⋱⫍5B6=⪎⋱⫍-C1097","layer":2},{"info":"NaN⪛⪎⋱⫍-C1097=NaN","layer":1},{"info":"∥⊫⪎⋱⫍6B0=⪎⋱⫍BCA","layer":3},{"info":"⪎⋱⫍190B⫸⊐⪎⋱⫍B24=⪎⋱⫍34C8","layer":3},{"info":"⪎⋱⫍BCA≹⇙⪍⪎⋱⫍34C8=NaN","layer":2},{"info":"NaN⊠≄⫣=NaN","layer":1},{"info":"NaN⋥≓≎NaN=⪎⋱⫍52","layer":0}]}
{"id":375,"expression_no_base_symbol":"(($3407$⨎$5027$⪐)⪨≂(∥⊫($3073$⊉≛↸$6482$)))*($1639$⋝⋈⪟$3400$⨸⪁(⨵≀≌$1020$))⫸⊐(⋗⩬⋾($1070$↺$1836$))","expression":"((⪎⋱⫍1721⨎⪎⋱⫍2399⪐)⪨≂(∥⊫(⪎⋱⫍1525⊉≛↸⪎⋱⫍2C48)))*(⪎⋱⫍991⋝⋈⪟⪎⋱⫍1717⨸⪁(⨵≀≌⪎⋱⫍606))⫸⊐(⋗⩬⋾(⪎⋱⫍644↺⪎⋱⫍AB3))","highest_n_order":2,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1000,"operation_count":12,"complexity_ratio":83.33333333333333,"tree":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":3407,"base":13},"right_expr":{"type":"numeric_atoms","value":5027,"base":13}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":3073,"base":13},"right_expr":{"type":"numeric_atoms","value":6482,"base":13}}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1639,"base":13},"right_expr":{"type":"numeric_atoms","value":3400,"base":13}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1020,"base":13}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1070,"base":13},"right_expr":{"type":"numeric_atoms","value":1836,"base":13}}}}},"used_operators":["9HNa5Wba9A","sdazOOVcIp","eH2TOUuTDT","rJVOvQCfKK","P8v4zCKN1o","DZ8iAZOCBD","mqXw5SEYmG","g55IO6H4Gj","2DDjHMKMc0","srAu1WTS94","DpFCA1CohY","7j4O788W3g"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍1316A43","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3407","layer":4},{"info":"number node, value=5027","layer":4},{"info":"compute binary expreesion, left_input=3407, right_input=5027, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=5027","layer":3},{"info":"compute unary expreesion, input=5027, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=10054","layer":2},{"info":"number node, value=3073","layer":4},{"info":"number node, value=6482","layer":4},{"info":"compute binary expreesion, left_input=3073, right_input=6482, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=6146","layer":3},{"info":"compute unary expreesion, input=6146, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=7014","layer":2},{"info":"compute binary expreesion, left_input=10054, right_input=7014, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=6182","layer":1},{"info":"number node, value=1639","layer":4},{"info":"number node, value=3400","layer":4},{"info":"compute binary expreesion, left_input=1639, right_input=3400, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1639","layer":3},{"info":"number node, value=1020","layer":4},{"info":"compute unary expreesion, input=1020, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-3060","layer":3},{"info":"compute binary expreesion, left_input=1639, right_input=-3060, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-2842","layer":2},{"info":"number node, value=1070","layer":4},{"info":"number node, value=1836","layer":4},{"info":"compute binary expreesion, left_input=1070, right_input=1836, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1836","layer":3},{"info":"compute unary expreesion, input=1836, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-5508","layer":2},{"info":"compute binary expreesion, left_input=-2842, right_input=-5508, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=968","layer":1},{"info":"compute binary expreesion, left_input=6182, right_input=968, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=5984176","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍1721⨎⪎⋱⫍2399⪐)⪨≂(∥⊫(⪎⋱⫍1525⊉≛↸⪎⋱⫍2C48)))*(⪎⋱⫍991⋝⋈⪟⪎⋱⫍1717⨸⪁(⨵≀≌⪎⋱⫍606))⫸⊐(⋗⩬⋾(⪎⋱⫍644↺⪎⋱⫍AB3))=⪎⋱⫍1316A43","reverse_text":"⪎⋱⫍1316A43=((⪎⋱⫍1721⨎⪎⋱⫍2399⪐)⪨≂(∥⊫(⪎⋱⫍1525⊉≛↸⪎⋱⫍2C48)))*(⪎⋱⫍991⋝⋈⪟⪎⋱⫍1717⨸⪁(⨵≀≌⪎⋱⫍606))⫸⊐(⋗⩬⋾(⪎⋱⫍644↺⪎⋱⫍AB3))","cot":[{"info":"⪎⋱⫍1721⨎⪎⋱⫍2399=⪎⋱⫍2399","layer":3},{"info":"⪎⋱⫍2399⪐=⪎⋱⫍4765","layer":2},{"info":"⪎⋱⫍1525⊉≛↸⪎⋱⫍2C48=⪎⋱⫍2A4A","layer":3},{"info":"∥⊫⪎⋱⫍2A4A=⪎⋱⫍3267","layer":2},{"info":"⪎⋱⫍4765⪨≂⪎⋱⫍3267=⪎⋱⫍2A77","layer":1},{"info":"⪎⋱⫍991⋝⋈⪟⪎⋱⫍1717=⪎⋱⫍991","layer":3},{"info":"⨵≀≌⪎⋱⫍606=⪎⋱⫍-1515","layer":3},{"info":"⪎⋱⫍991⨸⪁⪎⋱⫍-1515=⪎⋱⫍-13A8","layer":2},{"info":"⪎⋱⫍644↺⪎⋱⫍AB3=⪎⋱⫍AB3","layer":3},{"info":"⋗⩬⋾⪎⋱⫍AB3=⪎⋱⫍-2679","layer":2},{"info":"⪎⋱⫍-13A8⫸⊐⪎⋱⫍-2679=⪎⋱⫍596","layer":1},{"info":"⪎⋱⫍2A77*⪎⋱⫍596=⪎⋱⫍1316A43","layer":0}]}
{"id":376,"expression_no_base_symbol":"(($1496$*$3289$)⨎(⊙↵-$7140$)⨽($4021$⋝⋈⪟$7903$⋷$1483$≎⊠⪸$4665$))∀⇚≩(+⊝⨔($6792$⇷$1343$⋷$5036$⪛$2067$))","expression":"((⪎⋱⫍8B1*⪎⋱⫍1660)⨎(⊙↵-⪎⋱⫍3333)⨽(⪎⋱⫍1AA4⋝⋈⪟⪎⋱⫍379C⋷⪎⋱⫍8A1≎⊠⪸⪎⋱⫍217B))∀⇚≩(+⊝⨔(⪎⋱⫍3126⇷⪎⋱⫍7C4⋷⪎⋱⫍23A5⪛⪎⋱⫍C30))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":104092,"operation_count":12,"complexity_ratio":8674.333333333334,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1496,"base":13},"right_expr":{"type":"numeric_atoms","value":3289,"base":13}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":7140,"base":13}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":4021,"base":13},"right_expr":{"type":"numeric_atoms","value":7903,"base":13}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1483,"base":13},"right_expr":{"type":"numeric_atoms","value":4665,"base":13}}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":6792,"base":13},"right_expr":{"type":"numeric_atoms","value":1343,"base":13}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":5036,"base":13},"right_expr":{"type":"numeric_atoms","value":2067,"base":13}}}}},"used_operators":["LRNGc0VcxI","8HhzD0ZcuI","rJVOvQCfKK","9HNa5Wba9A","oWn0xqSxBt","23Mk6UjR3U","2DDjHMKMc0","bJkvcejdHO","DhbWaqg5eL","mp7IySMOzn","uFcxV4UQCh"],"dependent_operators":["X99M06cbEe","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1496","layer":4},{"info":"number node, value=3289","layer":4},{"info":"compute binary expreesion, left_input=1496, right_input=3289, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=4920344","layer":3},{"info":"number node, value=7140","layer":4},{"info":"compute unary expreesion, input=7140, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=4920344, right_input=-1, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-1","layer":2},{"info":"number node, value=4021","layer":4},{"info":"number node, value=7903","layer":4},{"info":"compute binary expreesion, left_input=4021, right_input=7903, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=4021","layer":3},{"info":"number node, value=1483","layer":4},{"info":"number node, value=4665","layer":4},{"info":"compute binary expreesion, left_input=1483, right_input=4665, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=383624","layer":3},{"info":"compute binary expreesion, left_input=4021, right_input=383624, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=763227","layer":2},{"info":"compute binary expreesion, left_input=-1, right_input=763227, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-2288370","layer":1},{"info":"number node, value=6792","layer":4},{"info":"number node, value=1343","layer":4},{"info":"compute binary expreesion, left_input=6792, right_input=1343, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2686","layer":3},{"info":"number node, value=5036","layer":4},{"info":"number node, value=2067","layer":4},{"info":"compute binary expreesion, left_input=5036, right_input=2067, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=902","layer":3},{"info":"compute binary expreesion, left_input=2686, right_input=902, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-882","layer":2},{"info":"compute unary expreesion, input=-882, 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=-2288370, 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":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍8B1*⪎⋱⫍1660)⨎(⊙↵-⪎⋱⫍3333)⨽(⪎⋱⫍1AA4⋝⋈⪟⪎⋱⫍379C⋷⪎⋱⫍8A1≎⊠⪸⪎⋱⫍217B))∀⇚≩(+⊝⨔(⪎⋱⫍3126⇷⪎⋱⫍7C4⋷⪎⋱⫍23A5⪛⪎⋱⫍C30))=NaN","reverse_text":"NaN=((⪎⋱⫍8B1*⪎⋱⫍1660)⨎(⊙↵-⪎⋱⫍3333)⨽(⪎⋱⫍1AA4⋝⋈⪟⪎⋱⫍379C⋷⪎⋱⫍8A1≎⊠⪸⪎⋱⫍217B))∀⇚≩(+⊝⨔(⪎⋱⫍3126⇷⪎⋱⫍7C4⋷⪎⋱⫍23A5⪛⪎⋱⫍C30))","cot":[{"info":"⪎⋱⫍8B1*⪎⋱⫍1660=⪎⋱⫍1033760","layer":3},{"info":"⊙↵-⪎⋱⫍3333=⪎⋱⫍-1","layer":3},{"info":"⪎⋱⫍1033760⨎⪎⋱⫍-1=⪎⋱⫍-1","layer":2},{"info":"⪎⋱⫍1AA4⋝⋈⪟⪎⋱⫍379C=⪎⋱⫍1AA4","layer":3},{"info":"⪎⋱⫍8A1≎⊠⪸⪎⋱⫍217B=⪎⋱⫍1057C7","layer":3},{"info":"⪎⋱⫍1AA4⋷⪎⋱⫍1057C7=⪎⋱⫍20951A","layer":2},{"info":"⪎⋱⫍-1⨽⪎⋱⫍20951A=⪎⋱⫍-621786","layer":1},{"info":"⪎⋱⫍3126⇷⪎⋱⫍7C4=⪎⋱⫍12B8","layer":3},{"info":"⪎⋱⫍23A5⪛⪎⋱⫍C30=⪎⋱⫍545","layer":3},{"info":"⪎⋱⫍12B8⋷⪎⋱⫍545=⪎⋱⫍-52B","layer":2},{"info":"+⊝⨔⪎⋱⫍-52B=⪎⋱⫍901","layer":1},{"info":"⪎⋱⫍-621786∀⇚≩⪎⋱⫍901=NaN","layer":0}]}
{"id":377,"expression_no_base_symbol":"($3650$≎⊠⪸$4306$+⇶⊼$2232$⇷$1291$-(⨰⫟⨤($3052$⨽$2671$)))⩤","expression":"(⪎⋱⫍187A≎⊠⪸⪎⋱⫍1C63+⇶⊼⪎⋱⫍1029⇷⪎⋱⫍784-(⨰⫟⨤(⪎⋱⫍150A⨽⪎⋱⫍12A6)))⩤","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":55937104,"operation_count":7,"complexity_ratio":7991014.857142857,"tree":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":3650,"base":13},"right_expr":{"type":"numeric_atoms","value":4306,"base":13}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2232,"base":13},"right_expr":{"type":"numeric_atoms","value":1291,"base":13}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":3052,"base":13},"right_expr":{"type":"numeric_atoms","value":2671,"base":13}}}}},"used_operators":["Z2TMIBDE3Q","rysDP5nf3Z","TpPTUOHfaN","bJkvcejdHO","mp7IySMOzn","Tw270M8GLb","8HhzD0ZcuI"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3650","layer":4},{"info":"number node, value=4306","layer":4},{"info":"compute binary expreesion, left_input=3650, right_input=4306, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=944877","layer":3},{"info":"number node, value=2232","layer":4},{"info":"number node, value=1291","layer":4},{"info":"compute binary expreesion, left_input=2232, right_input=1291, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2582","layer":3},{"info":"compute binary expreesion, left_input=944877, right_input=2582, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=3052","layer":4},{"info":"number node, value=2671","layer":4},{"info":"compute binary expreesion, left_input=3052, right_input=2671, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-27950811","layer":3},{"info":"compute unary expreesion, input=-27950811, 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 = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍187A≎⊠⪸⪎⋱⫍1C63+⇶⊼⪎⋱⫍1029⇷⪎⋱⫍784-(⨰⫟⨤(⪎⋱⫍150A⨽⪎⋱⫍12A6)))⩤=NaN","reverse_text":"NaN=(⪎⋱⫍187A≎⊠⪸⪎⋱⫍1C63+⇶⊼⪎⋱⫍1029⇷⪎⋱⫍784-(⨰⫟⨤(⪎⋱⫍150A⨽⪎⋱⫍12A6)))⩤","cot":[{"info":"⪎⋱⫍187A≎⊠⪸⪎⋱⫍1C63=⪎⋱⫍2710CB","layer":3},{"info":"⪎⋱⫍1029⇷⪎⋱⫍784=⪎⋱⫍1238","layer":3},{"info":"⪎⋱⫍2710CB+⇶⊼⪎⋱⫍1238=NaN","layer":2},{"info":"⪎⋱⫍150A⨽⪎⋱⫍12A6=⪎⋱⫍-5A38355","layer":3},{"info":"⨰⫟⨤⪎⋱⫍-5A38355=NaN","layer":2},{"info":"NaN-NaN=NaN","layer":1},{"info":"NaN⩤=NaN","layer":0}]}
{"id":378,"expression_no_base_symbol":"↯⪼((⫛⫱⨽$1558$)∀⇚≩($1897$⨸⪁$1000$)↺($3380$⩚⊴⇥$6016$)⪢$1345$⨟⋌⩍$2536$)","expression":"↯⪼((⫛⫱⨽⪎⋱⫍92B)∀⇚≩(⪎⋱⫍B2C⨸⪁⪎⋱⫍5BC)↺(⪎⋱⫍1700⩚⊴⇥⪎⋱⫍297A)⪢⪎⋱⫍7C6⨟⋌⩍⪎⋱⫍1201)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1464,"operation_count":8,"complexity_ratio":183.0,"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":1558,"base":13}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1897,"base":13},"right_expr":{"type":"numeric_atoms","value":1000,"base":13}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":3380,"base":13},"right_expr":{"type":"numeric_atoms","value":6016,"base":13}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1345,"base":13},"right_expr":{"type":"numeric_atoms","value":2536,"base":13}}}}},"used_operators":["8jW3W4yZS5","7j4O788W3g","LRNGc0VcxI","DlLNRPXxWL","g55IO6H4Gj","dWAJyo7jo9","NTOWxs364D","rGHVDoGpnC"],"dependent_operators":["eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","rGHVDoGpnC","W4YGzv6Whe","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","Tcnh7f0tEr"],"result":"⪎⋱⫍-18","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1558","layer":4},{"info":"compute unary expreesion, input=1558, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=1897","layer":4},{"info":"number node, value=1000","layer":4},{"info":"compute binary expreesion, left_input=1897, right_input=1000, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=5794","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=5794, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=5794","layer":2},{"info":"number node, value=3380","layer":4},{"info":"number node, value=6016","layer":4},{"info":"compute binary expreesion, left_input=3380, right_input=6016, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-9517","layer":3},{"info":"number node, value=1345","layer":4},{"info":"number node, value=2536","layer":4},{"info":"compute binary expreesion, left_input=1345, right_input=2536, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=-9517, 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=5794, 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 = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":0}],"base":13,"result_base":13,"text":"↯⪼((⫛⫱⨽⪎⋱⫍92B)∀⇚≩(⪎⋱⫍B2C⨸⪁⪎⋱⫍5BC)↺(⪎⋱⫍1700⩚⊴⇥⪎⋱⫍297A)⪢⪎⋱⫍7C6⨟⋌⩍⪎⋱⫍1201)=⪎⋱⫍-18","reverse_text":"⪎⋱⫍-18=↯⪼((⫛⫱⨽⪎⋱⫍92B)∀⇚≩(⪎⋱⫍B2C⨸⪁⪎⋱⫍5BC)↺(⪎⋱⫍1700⩚⊴⇥⪎⋱⫍297A)⪢⪎⋱⫍7C6⨟⋌⩍⪎⋱⫍1201)","cot":[{"info":"⫛⫱⨽⪎⋱⫍92B=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍B2C⨸⪁⪎⋱⫍5BC=⪎⋱⫍2839","layer":3},{"info":"⪎⋱⫍0∀⇚≩⪎⋱⫍2839=⪎⋱⫍2839","layer":2},{"info":"⪎⋱⫍1700⩚⊴⇥⪎⋱⫍297A=⪎⋱⫍-4441","layer":3},{"info":"⪎⋱⫍7C6⨟⋌⩍⪎⋱⫍1201=NaN","layer":3},{"info":"⪎⋱⫍-4441⪢NaN=NaN","layer":2},{"info":"⪎⋱⫍2839↺NaN=NaN","layer":1},{"info":"↯⪼NaN=⪎⋱⫍-18","layer":0}]}
{"id":379,"expression_no_base_symbol":"≉(≤/$4987$⨪↰⇹$1192$)⋥≓≎(⨵≀≌($2255$⊦⊿))","expression":"≉(≤/⪎⋱⫍2368⨪↰⇹⪎⋱⫍709)⋥≓≎(⨵≀≌(⪎⋱⫍1046⊦⊿))","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":11847,"operation_count":6,"complexity_ratio":1974.5,"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":4987,"base":13},"right_expr":{"type":"numeric_atoms","value":1192,"base":13}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":2255,"base":13}}}}},"used_operators":["e1ybzncUwg","Qy55tPpLXF","eLAdDNolq6","tmPS8pqC7x","srAu1WTS94","14qkJME0vr"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","rJVOvQCfKK","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍370","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4987","layer":4},{"info":"number node, value=1192","layer":4},{"info":"compute binary expreesion, left_input=4987, right_input=1192, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=4987","layer":3},{"info":"compute unary expreesion, input=4987, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-4503","layer":2},{"info":"number node, value=2255","layer":4},{"info":"compute unary expreesion, input=2255, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-6844","layer":3},{"info":"compute unary expreesion, input=-6844, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=46840336","layer":2},{"info":"compute binary expreesion, left_input=-4503, right_input=46840336, 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 = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=598","layer":0}],"base":13,"result_base":13,"text":"≉(≤/⪎⋱⫍2368⨪↰⇹⪎⋱⫍709)⋥≓≎(⨵≀≌(⪎⋱⫍1046⊦⊿))=⪎⋱⫍370","reverse_text":"⪎⋱⫍370=≉(≤/⪎⋱⫍2368⨪↰⇹⪎⋱⫍709)⋥≓≎(⨵≀≌(⪎⋱⫍1046⊦⊿))","cot":[{"info":"⪎⋱⫍2368⨪↰⇹⪎⋱⫍709=⪎⋱⫍2368","layer":3},{"info":"≤/⪎⋱⫍2368=⪎⋱⫍-2085","layer":2},{"info":"⪎⋱⫍1046⊦⊿=⪎⋱⫍-3166","layer":3},{"info":"⨵≀≌⪎⋱⫍-3166=⪎⋱⫍992019A","layer":2},{"info":"⪎⋱⫍-2085⋥≓≎⪎⋱⫍992019A=⪎⋱⫍52","layer":1},{"info":"≉⪎⋱⫍52=⪎⋱⫍370","layer":0}]}
{"id":380,"expression_no_base_symbol":"(($2328$⨽$1178$∲⫓$1089$⩷∴$2769$)∸)⨓((⨈⫕$3169$∑⇟⊟$6692$)∲⫓(⨑⩽⪐$1068$)⩚⊴⇥(⨰⫟⨤$5272$))","expression":"((⪎⋱⫍10A1⨽⪎⋱⫍6C8∲⫓⪎⋱⫍65A⩷∴⪎⋱⫍1350)∸)⨓((⨈⫕⪎⋱⫍159A∑⇟⊟⪎⋱⫍307A)∲⫓(⨑⩽⪐⪎⋱⫍642)⩚⊴⇥(⨰⫟⨤⪎⋱⫍2527))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":23172,"operation_count":11,"complexity_ratio":2106.5454545454545,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2328,"base":13},"right_expr":{"type":"numeric_atoms","value":1178,"base":13}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1089,"base":13},"right_expr":{"type":"numeric_atoms","value":2769,"base":13}}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":3169,"base":13},"right_expr":{"type":"numeric_atoms","value":6692,"base":13}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":1068,"base":13}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":5272,"base":13}}}}},"used_operators":["3ViojmjbAp","o20kRiQErp","i8ToyICDmI","8HhzD0ZcuI","9FxExcQeMw","megm06wKyl","U7g4x0WXJJ","NTOWxs364D","AF7qkfDlqP","Tw270M8GLb"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","tmPS8pqC7x","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2328","layer":4},{"info":"number node, value=1178","layer":4},{"info":"compute binary expreesion, left_input=2328, right_input=1178, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-16260972","layer":3},{"info":"number node, value=1089","layer":4},{"info":"number node, value=2769","layer":4},{"info":"compute binary expreesion, left_input=1089, right_input=2769, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-3392","layer":3},{"info":"compute binary expreesion, left_input=-16260972, right_input=-3392, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=-16260972","layer":2},{"info":"compute unary expreesion, input=-16260972, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":1},{"info":"number node, value=3169","layer":4},{"info":"number node, value=6692","layer":4},{"info":"compute binary expreesion, left_input=3169, right_input=6692, 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 = 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=1068","layer":4},{"info":"compute unary expreesion, input=1068, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-795","layer":3},{"info":"number node, value=5272","layer":4},{"info":"compute unary expreesion, input=5272, 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=-795, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-21, 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=177, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍10A1⨽⪎⋱⫍6C8∲⫓⪎⋱⫍65A⩷∴⪎⋱⫍1350)∸)⨓((⨈⫕⪎⋱⫍159A∑⇟⊟⪎⋱⫍307A)∲⫓(⨑⩽⪐⪎⋱⫍642)⩚⊴⇥(⨰⫟⨤⪎⋱⫍2527))=NaN","reverse_text":"NaN=((⪎⋱⫍10A1⨽⪎⋱⫍6C8∲⫓⪎⋱⫍65A⩷∴⪎⋱⫍1350)∸)⨓((⨈⫕⪎⋱⫍159A∑⇟⊟⪎⋱⫍307A)∲⫓(⨑⩽⪐⪎⋱⫍642)⩚⊴⇥(⨰⫟⨤⪎⋱⫍2527))","cot":[{"info":"⪎⋱⫍10A1⨽⪎⋱⫍6C8=⪎⋱⫍-34A45A0","layer":3},{"info":"⪎⋱⫍65A⩷∴⪎⋱⫍1350=⪎⋱⫍-170C","layer":3},{"info":"⪎⋱⫍-34A45A0∲⫓⪎⋱⫍-170C=⪎⋱⫍-34A45A0","layer":2},{"info":"⪎⋱⫍-34A45A0∸=⪎⋱⫍108","layer":1},{"info":"⪎⋱⫍159A∑⇟⊟⪎⋱⫍307A=NaN","layer":3},{"info":"⨈⫕NaN=⪎⋱⫍-18","layer":2},{"info":"⨑⩽⪐⪎⋱⫍642=⪎⋱⫍-492","layer":3},{"info":"⨰⫟⨤⪎⋱⫍2527=NaN","layer":3},{"info":"⪎⋱⫍-492⩚⊴⇥NaN=NaN","layer":2},{"info":"⪎⋱⫍-18∲⫓NaN=NaN","layer":1},{"info":"⪎⋱⫍108⨓NaN=NaN","layer":0}]}
{"id":381,"expression_no_base_symbol":"((↔$1992$)⪮%⊝($5162$⪘⫢$4323$)⪨≂($1392$≫≃)∲⫓$2316$⪒$1866$)⫸⊐((+⊝⨔$1530$)⨽$6974$∀⇚≩$8245$)⨐⩸⫘(⊄⩳↩($2218$⫡⨏$5933$))","expression":"((↔⪎⋱⫍BA3)⪮%⊝(⪎⋱⫍2471⪘⫢⪎⋱⫍1C77)⪨≂(⪎⋱⫍831≫≃)∲⫓⪎⋱⫍1092⪒⪎⋱⫍B07)⫸⊐((+⊝⨔⪎⋱⫍909)⨽⪎⋱⫍3236∀⇚≩⪎⋱⫍39A3)⨐⩸⫘(⊄⩳↩(⪎⋱⫍1018⫡⨏⪎⋱⫍2915))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":50451,"operation_count":14,"complexity_ratio":3603.6428571428573,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":1992,"base":13}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":5162,"base":13},"right_expr":{"type":"numeric_atoms","value":4323,"base":13}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":1392,"base":13}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2316,"base":13},"right_expr":{"type":"numeric_atoms","value":1866,"base":13}}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":1530,"base":13}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":6974,"base":13},"right_expr":{"type":"numeric_atoms","value":8245,"base":13}}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2218,"base":13},"right_expr":{"type":"numeric_atoms","value":5933,"base":13}}}}},"used_operators":["mqXw5SEYmG","sdazOOVcIp","IWmyXbctLI","ruOEQAzv1W","oacrs7FA3X","i8ToyICDmI","X99M06cbEe","f6k1SAg4EE","fu6greOZ01","8HhzD0ZcuI","DhbWaqg5eL","LRNGc0VcxI","8w2t5hMYqp","QMFrweE19q"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","X99M06cbEe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍596","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1992","layer":4},{"info":"compute unary expreesion, input=1992, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-1719","layer":3},{"info":"number node, value=5162","layer":4},{"info":"number node, value=4323","layer":4},{"info":"compute binary expreesion, left_input=5162, right_input=4323, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=10200","layer":3},{"info":"compute binary expreesion, left_input=-1719, right_input=10200, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-3122","layer":2},{"info":"number node, value=1392","layer":4},{"info":"compute unary expreesion, input=1392, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=4185","layer":3},{"info":"number node, value=2316","layer":4},{"info":"number node, value=1866","layer":4},{"info":"compute binary expreesion, left_input=2316, right_input=1866, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4182","layer":3},{"info":"compute binary expreesion, left_input=4185, right_input=-4182, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=4185","layer":2},{"info":"compute binary expreesion, left_input=-3122, right_input=4185, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-14512","layer":1},{"info":"number node, value=1530","layer":4},{"info":"compute unary expreesion, input=1530, 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=6974","layer":4},{"info":"number node, value=8245","layer":4},{"info":"compute binary expreesion, left_input=6974, right_input=8245, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=1522, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":2},{"info":"number node, value=2218","layer":4},{"info":"number node, value=5933","layer":4},{"info":"compute binary expreesion, left_input=2218, right_input=5933, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=23739","layer":3},{"info":"compute unary expreesion, input=23739, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-71217","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-71217, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=-14512, 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":13,"result_base":13,"text":"((↔⪎⋱⫍BA3)⪮%⊝(⪎⋱⫍2471⪘⫢⪎⋱⫍1C77)⪨≂(⪎⋱⫍831≫≃)∲⫓⪎⋱⫍1092⪒⪎⋱⫍B07)⫸⊐((+⊝⨔⪎⋱⫍909)⨽⪎⋱⫍3236∀⇚≩⪎⋱⫍39A3)⨐⩸⫘(⊄⩳↩(⪎⋱⫍1018⫡⨏⪎⋱⫍2915))=⪎⋱⫍596","reverse_text":"⪎⋱⫍596=((↔⪎⋱⫍BA3)⪮%⊝(⪎⋱⫍2471⪘⫢⪎⋱⫍1C77)⪨≂(⪎⋱⫍831≫≃)∲⫓⪎⋱⫍1092⪒⪎⋱⫍B07)⫸⊐((+⊝⨔⪎⋱⫍909)⨽⪎⋱⫍3236∀⇚≩⪎⋱⫍39A3)⨐⩸⫘(⊄⩳↩(⪎⋱⫍1018⫡⨏⪎⋱⫍2915))","cot":[{"info":"↔⪎⋱⫍BA3=⪎⋱⫍-A23","layer":3},{"info":"⪎⋱⫍2471⪘⫢⪎⋱⫍1C77=⪎⋱⫍4848","layer":3},{"info":"⪎⋱⫍-A23⪮%⊝⪎⋱⫍4848=⪎⋱⫍-1562","layer":2},{"info":"⪎⋱⫍831≫≃=⪎⋱⫍1B9C","layer":3},{"info":"⪎⋱⫍1092⪒⪎⋱⫍B07=⪎⋱⫍-1B99","layer":3},{"info":"⪎⋱⫍1B9C∲⫓⪎⋱⫍-1B99=⪎⋱⫍1B9C","layer":2},{"info":"⪎⋱⫍-1562⪨≂⪎⋱⫍1B9C=⪎⋱⫍-67B4","layer":1},{"info":"+⊝⨔⪎⋱⫍909=⪎⋱⫍901","layer":3},{"info":"⪎⋱⫍3236∀⇚≩⪎⋱⫍39A3=NaN","layer":3},{"info":"⪎⋱⫍901⨽NaN=NaN","layer":2},{"info":"⪎⋱⫍1018⫡⨏⪎⋱⫍2915=⪎⋱⫍AA61","layer":3},{"info":"⊄⩳↩⪎⋱⫍AA61=⪎⋱⫍-26553","layer":2},{"info":"NaN⨐⩸⫘⪎⋱⫍-26553=NaN","layer":1},{"info":"⪎⋱⫍-67B4⫸⊐NaN=⪎⋱⫍596","layer":0}]}
{"id":382,"expression_no_base_symbol":"((($1333$⪄$3539$)↙($2990$%$2835$))⫌⩹⨱)⨓(↔(↔($2855$⨸⪁$1448$)))","expression":"(((⪎⋱⫍7B7⪄⪎⋱⫍17C3)↙(⪎⋱⫍1490%⪎⋱⫍13A1))⫌⩹⨱)⨓(↔(↔(⪎⋱⫍13B8⨸⪁⪎⋱⫍875)))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":276,"operation_count":8,"complexity_ratio":34.5,"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":1333,"base":13},"right_expr":{"type":"numeric_atoms","value":3539,"base":13}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2990,"base":13},"right_expr":{"type":"numeric_atoms","value":2835,"base":13}}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2855,"base":13},"right_expr":{"type":"numeric_atoms","value":1448,"base":13}}}}},"used_operators":["3ViojmjbAp","EBcxylXtPf","yyfyN0ffXY","SUmda5xLS4","k8jYdgA6NY","ruOEQAzv1W","g55IO6H4Gj"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","rysDP5nf3Z","tmPS8pqC7x","DpFCA1CohY","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe"],"result":"⪎⋱⫍A1","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1333","layer":4},{"info":"number node, value=3539","layer":4},{"info":"compute binary expreesion, left_input=1333, right_input=3539, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-207529","layer":3},{"info":"number node, value=2990","layer":4},{"info":"number node, value=2835","layer":4},{"info":"compute binary expreesion, left_input=2990, right_input=2835, op_id = k8jYdgA6NY binary_op_definition= 'None', output=155","layer":3},{"info":"compute binary expreesion, left_input=-207529, right_input=155, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-207529","layer":2},{"info":"compute unary expreesion, input=-207529, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=-413657","layer":1},{"info":"number node, value=2855","layer":4},{"info":"number node, value=1448","layer":4},{"info":"compute binary expreesion, left_input=2855, right_input=1448, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=8606","layer":3},{"info":"compute unary expreesion, input=8606, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-8333","layer":2},{"info":"compute unary expreesion, input=-8333, 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=-413657, right_input=-134, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=131","layer":0}],"base":13,"result_base":13,"text":"(((⪎⋱⫍7B7⪄⪎⋱⫍17C3)↙(⪎⋱⫍1490%⪎⋱⫍13A1))⫌⩹⨱)⨓(↔(↔(⪎⋱⫍13B8⨸⪁⪎⋱⫍875)))=⪎⋱⫍A1","reverse_text":"⪎⋱⫍A1=(((⪎⋱⫍7B7⪄⪎⋱⫍17C3)↙(⪎⋱⫍1490%⪎⋱⫍13A1))⫌⩹⨱)⨓(↔(↔(⪎⋱⫍13B8⨸⪁⪎⋱⫍875)))","cot":[{"info":"⪎⋱⫍7B7⪄⪎⋱⫍17C3=⪎⋱⫍-735CA","layer":3},{"info":"⪎⋱⫍1490%⪎⋱⫍13A1=⪎⋱⫍BC","layer":3},{"info":"⪎⋱⫍-735CA↙⪎⋱⫍BC=⪎⋱⫍-735CA","layer":2},{"info":"⪎⋱⫍-735CA⫌⩹⨱=⪎⋱⫍-11638A","layer":1},{"info":"⪎⋱⫍13B8⨸⪁⪎⋱⫍875=⪎⋱⫍3BC0","layer":3},{"info":"↔⪎⋱⫍3BC0=⪎⋱⫍-3A40","layer":2},{"info":"↔⪎⋱⫍-3A40=⪎⋱⫍-A4","layer":1},{"info":"⪎⋱⫍-11638A⨓⪎⋱⫍-A4=⪎⋱⫍A1","layer":0}]}
{"id":383,"expression_no_base_symbol":"($3103$⨪↰⇹$6059$⫡⨏(⨰⫟⨤$6558$)↪⪝)⩚⊴⇥(($1386$∲⫓$7087$)⪮%⊝($6935$*$1312$)⨐⩸⫘(⊙↵-$3276$)⨽($5030$⩨$2749$))","expression":"(⪎⋱⫍1549⨪↰⇹⪎⋱⫍29B1⫡⨏(⨰⫟⨤⪎⋱⫍2CA6)↪⪝)⩚⊴⇥((⪎⋱⫍828∲⫓⪎⋱⫍32C2)⪮%⊝(⪎⋱⫍3206*⪎⋱⫍79C)⨐⩸⫘(⊙↵-⪎⋱⫍1650)⨽(⪎⋱⫍239C⩨⪎⋱⫍1336))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":33170,"operation_count":12,"complexity_ratio":2764.1666666666665,"tree":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":3103,"base":13},"right_expr":{"type":"numeric_atoms","value":6059,"base":13}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":6558,"base":13}}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1386,"base":13},"right_expr":{"type":"numeric_atoms","value":7087,"base":13}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":6935,"base":13},"right_expr":{"type":"numeric_atoms","value":1312,"base":13}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":3276,"base":13}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":5030,"base":13},"right_expr":{"type":"numeric_atoms","value":2749,"base":13}}}}},"used_operators":["NTOWxs364D","l07mrZUIn9","QMFrweE19q","tmPS8pqC7x","Tw270M8GLb","fu6greOZ01","IWmyXbctLI","i8ToyICDmI","9HNa5Wba9A","8HhzD0ZcuI","oWn0xqSxBt","2DlMacCsIx"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","9HNa5Wba9A","2DDjHMKMc0","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","3ViojmjbAp","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3103","layer":4},{"info":"number node, value=6059","layer":4},{"info":"compute binary expreesion, left_input=3103, right_input=6059, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=3103","layer":3},{"info":"number node, value=6558","layer":4},{"info":"compute unary expreesion, input=6558, 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=3103, 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 = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=nan","layer":1},{"info":"number node, value=1386","layer":4},{"info":"number node, value=7087","layer":4},{"info":"compute binary expreesion, left_input=1386, right_input=7087, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=6935","layer":4},{"info":"number node, value=1312","layer":4},{"info":"compute binary expreesion, left_input=6935, right_input=1312, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=9098720","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=9098720, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=316","layer":2},{"info":"number node, value=3276","layer":4},{"info":"compute unary expreesion, input=3276, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=5030","layer":4},{"info":"number node, value=2749","layer":4},{"info":"compute binary expreesion, left_input=5030, right_input=2749, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=0, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=1311","layer":2},{"info":"compute binary expreesion, left_input=316, right_input=1311, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍1549⨪↰⇹⪎⋱⫍29B1⫡⨏(⨰⫟⨤⪎⋱⫍2CA6)↪⪝)⩚⊴⇥((⪎⋱⫍828∲⫓⪎⋱⫍32C2)⪮%⊝(⪎⋱⫍3206*⪎⋱⫍79C)⨐⩸⫘(⊙↵-⪎⋱⫍1650)⨽(⪎⋱⫍239C⩨⪎⋱⫍1336))=NaN","reverse_text":"NaN=(⪎⋱⫍1549⨪↰⇹⪎⋱⫍29B1⫡⨏(⨰⫟⨤⪎⋱⫍2CA6)↪⪝)⩚⊴⇥((⪎⋱⫍828∲⫓⪎⋱⫍32C2)⪮%⊝(⪎⋱⫍3206*⪎⋱⫍79C)⨐⩸⫘(⊙↵-⪎⋱⫍1650)⨽(⪎⋱⫍239C⩨⪎⋱⫍1336))","cot":[{"info":"⪎⋱⫍1549⨪↰⇹⪎⋱⫍29B1=⪎⋱⫍1549","layer":3},{"info":"⨰⫟⨤⪎⋱⫍2CA6=NaN","layer":3},{"info":"⪎⋱⫍1549⫡⨏NaN=NaN","layer":2},{"info":"NaN↪⪝=NaN","layer":1},{"info":"⪎⋱⫍828∲⫓⪎⋱⫍32C2=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍3206*⪎⋱⫍79C=⪎⋱⫍1B67577","layer":3},{"info":"⪎⋱⫍0⪮%⊝⪎⋱⫍1B67577=⪎⋱⫍1B4","layer":2},{"info":"⊙↵-⪎⋱⫍1650=⪎⋱⫍-1","layer":3},{"info":"⪎⋱⫍239C⩨⪎⋱⫍1336=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍-1⨽⪎⋱⫍0=⪎⋱⫍79B","layer":2},{"info":"⪎⋱⫍1B4⨐⩸⫘⪎⋱⫍79B=NaN","layer":1},{"info":"NaN⩚⊴⇥NaN=NaN","layer":0}]}
{"id":384,"expression_no_base_symbol":"(≤/$4405$⇷$7016$↙$7178$⫥∨⫟$2243$)⨳⩥⨓((⨞⊢$2517$)⩨(↽≂$3909$))⇷(∂($4646$≫≃))","expression":"(≤/⪎⋱⫍200B⇷⪎⋱⫍3269↙⪎⋱⫍3362⫥∨⫟⪎⋱⫍1037)⨳⩥⨓((⨞⊢⪎⋱⫍11B8)⩨(↽≂⪎⋱⫍1A19))⇷(∂(⪎⋱⫍2165≫≃))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":61946,"operation_count":11,"complexity_ratio":5631.454545454545,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":4405,"base":13},"right_expr":{"type":"numeric_atoms","value":7016,"base":13}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":7178,"base":13},"right_expr":{"type":"numeric_atoms","value":2243,"base":13}}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":2517,"base":13}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":3909,"base":13}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":4646,"base":13}}}}},"used_operators":["nCS4ZIUYfx","eLAdDNolq6","yyfyN0ffXY","mp7IySMOzn","KYD54nUTWz","2DlMacCsIx","xUOZtlo3hN","u6S6b8DprG","Uaa54Peajs","X99M06cbEe"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","tmPS8pqC7x","DpFCA1CohY","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","8HhzD0ZcuI","rGHVDoGpnC","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4405","layer":4},{"info":"number node, value=7016","layer":4},{"info":"compute binary expreesion, left_input=4405, right_input=7016, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=14032","layer":3},{"info":"number node, value=7178","layer":4},{"info":"number node, value=2243","layer":4},{"info":"compute binary expreesion, left_input=7178, right_input=2243, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=14032, 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 = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=nan","layer":1},{"info":"number node, value=2517","layer":4},{"info":"compute unary expreesion, input=2517, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-2691","layer":3},{"info":"number node, value=3909","layer":4},{"info":"compute unary expreesion, input=3909, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-7818","layer":3},{"info":"compute binary expreesion, left_input=-2691, right_input=-7818, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-6","layer":2},{"info":"number node, value=4646","layer":4},{"info":"compute unary expreesion, input=4646, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=10693","layer":3},{"info":"compute unary expreesion, input=10693, 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=-6, 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 = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(≤/⪎⋱⫍200B⇷⪎⋱⫍3269↙⪎⋱⫍3362⫥∨⫟⪎⋱⫍1037)⨳⩥⨓((⨞⊢⪎⋱⫍11B8)⩨(↽≂⪎⋱⫍1A19))⇷(∂(⪎⋱⫍2165≫≃))=NaN","reverse_text":"NaN=(≤/⪎⋱⫍200B⇷⪎⋱⫍3269↙⪎⋱⫍3362⫥∨⫟⪎⋱⫍1037)⨳⩥⨓((⨞⊢⪎⋱⫍11B8)⩨(↽≂⪎⋱⫍1A19))⇷(∂(⪎⋱⫍2165≫≃))","cot":[{"info":"⪎⋱⫍200B⇷⪎⋱⫍3269=⪎⋱⫍6505","layer":3},{"info":"⪎⋱⫍3362⫥∨⫟⪎⋱⫍1037=NaN","layer":3},{"info":"⪎⋱⫍6505↙NaN=NaN","layer":2},{"info":"≤/NaN=NaN","layer":1},{"info":"⨞⊢⪎⋱⫍11B8=⪎⋱⫍-12C0","layer":3},{"info":"↽≂⪎⋱⫍1A19=⪎⋱⫍-3735","layer":3},{"info":"⪎⋱⫍-12C0⩨⪎⋱⫍-3735=⪎⋱⫍-6","layer":2},{"info":"⪎⋱⫍2165≫≃=⪎⋱⫍4B37","layer":3},{"info":"∂⪎⋱⫍4B37=NaN","layer":2},{"info":"⪎⋱⫍-6⇷NaN=NaN","layer":1},{"info":"NaN⨳⩥⨓NaN=NaN","layer":0}]}
{"id":385,"expression_no_base_symbol":"(≦∁$2166$⨐⩸⫘$1446$⫸⊐($4474$%$1088$))⫩⊇","expression":"(≦∁⪎⋱⫍CA8⨐⩸⫘⪎⋱⫍873⫸⊐(⪎⋱⫍2062%⪎⋱⫍659))⫩⊇","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":12,"operation_count":5,"complexity_ratio":2.4,"tree":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2166,"base":13},"right_expr":{"type":"numeric_atoms","value":1446,"base":13}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":4474,"base":13},"right_expr":{"type":"numeric_atoms","value":1088,"base":13}}}}},"used_operators":["BjRHVeLaeN","9ICcGScMcE","mqXw5SEYmG","fu6greOZ01","k8jYdgA6NY"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","3ViojmjbAp","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2166","layer":4},{"info":"number node, value=1446","layer":4},{"info":"compute binary expreesion, left_input=2166, right_input=1446, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=4474","layer":4},{"info":"number node, value=1088","layer":4},{"info":"compute binary expreesion, left_input=4474, right_input=1088, op_id = k8jYdgA6NY binary_op_definition= 'None', output=122","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=122, 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 = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(≦∁⪎⋱⫍CA8⨐⩸⫘⪎⋱⫍873⫸⊐(⪎⋱⫍2062%⪎⋱⫍659))⫩⊇=NaN","reverse_text":"NaN=(≦∁⪎⋱⫍CA8⨐⩸⫘⪎⋱⫍873⫸⊐(⪎⋱⫍2062%⪎⋱⫍659))⫩⊇","cot":[{"info":"⪎⋱⫍CA8⨐⩸⫘⪎⋱⫍873=NaN","layer":3},{"info":"⪎⋱⫍2062%⪎⋱⫍659=⪎⋱⫍95","layer":3},{"info":"NaN⫸⊐⪎⋱⫍95=NaN","layer":2},{"info":"≦∁NaN=NaN","layer":1},{"info":"NaN⫩⊇=NaN","layer":0}]}
{"id":386,"expression_no_base_symbol":"(($7342$+$2136$)⫌⩹⨱)⋳⪒($5206$⋥≓≎$1360$⊭↱$1104$∑⇟⊟$4429$)+($2458$↬$1309$)⊴($1342$⩨$1376$)≭(($1252$⊭↱$1117$)≎⊠⪸($4151$⊉≛↸$4951$))","expression":"((⪎⋱⫍345A+⪎⋱⫍C84)⫌⩹⨱)⋳⪒(⪎⋱⫍24A6⋥≓≎⪎⋱⫍808⊭↱⪎⋱⫍66C∑⇟⊟⪎⋱⫍2029)+(⪎⋱⫍1171↬⪎⋱⫍799)⊴(⪎⋱⫍7C3⩨⪎⋱⫍81B)≭((⪎⋱⫍754⊭↱⪎⋱⫍67C)≎⊠⪸(⪎⋱⫍1B74⊉≛↸⪎⋱⫍233B))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":321,"operation_count":14,"complexity_ratio":22.928571428571427,"tree":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":7342,"base":13},"right_expr":{"type":"numeric_atoms","value":2136,"base":13}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":5206,"base":13},"right_expr":{"type":"numeric_atoms","value":1360,"base":13}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1104,"base":13},"right_expr":{"type":"numeric_atoms","value":4429,"base":13}}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2458,"base":13},"right_expr":{"type":"numeric_atoms","value":1309,"base":13}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1342,"base":13},"right_expr":{"type":"numeric_atoms","value":1376,"base":13}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1252,"base":13},"right_expr":{"type":"numeric_atoms","value":1117,"base":13}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":4151,"base":13},"right_expr":{"type":"numeric_atoms","value":4951,"base":13}}}}},"used_operators":["W4YGzv6Whe","12rbrZMWeM","EBcxylXtPf","COABgblf1C","Qy55tPpLXF","U7g4x0WXJJ","rxpJgHHUmx","Nsiff2A1zJ","B5M0gjZbta","2DlMacCsIx","bJkvcejdHO","DZ8iAZOCBD"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","AHs5Up7iyr","dWAJyo7jo9","14qkJME0vr","rGHVDoGpnC","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=7342","layer":4},{"info":"number node, value=2136","layer":4},{"info":"compute binary expreesion, left_input=7342, right_input=2136, op_id = W4YGzv6Whe binary_op_definition= 'None', output=9478","layer":3},{"info":"compute unary expreesion, input=9478, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=20357","layer":2},{"info":"number node, value=5206","layer":4},{"info":"number node, value=1360","layer":4},{"info":"compute binary expreesion, left_input=5206, right_input=1360, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-2453","layer":3},{"info":"number node, value=1104","layer":4},{"info":"number node, value=4429","layer":4},{"info":"compute binary expreesion, left_input=1104, right_input=4429, 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=-2453, 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=20357, 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=2458","layer":4},{"info":"number node, value=1309","layer":4},{"info":"compute binary expreesion, left_input=2458, right_input=1309, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=1342","layer":4},{"info":"number node, value=1376","layer":4},{"info":"compute binary expreesion, left_input=1342, right_input=1376, 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 = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=1252","layer":4},{"info":"number node, value=1117","layer":4},{"info":"compute binary expreesion, left_input=1252, right_input=1117, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-265","layer":3},{"info":"number node, value=4151","layer":4},{"info":"number node, value=4951","layer":4},{"info":"compute binary expreesion, left_input=4151, right_input=4951, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=8302","layer":3},{"info":"compute binary expreesion, left_input=-265, right_input=8302, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=68635","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=68635, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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 = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍345A+⪎⋱⫍C84)⫌⩹⨱)⋳⪒(⪎⋱⫍24A6⋥≓≎⪎⋱⫍808⊭↱⪎⋱⫍66C∑⇟⊟⪎⋱⫍2029)+(⪎⋱⫍1171↬⪎⋱⫍799)⊴(⪎⋱⫍7C3⩨⪎⋱⫍81B)≭((⪎⋱⫍754⊭↱⪎⋱⫍67C)≎⊠⪸(⪎⋱⫍1B74⊉≛↸⪎⋱⫍233B))=NaN","reverse_text":"NaN=((⪎⋱⫍345A+⪎⋱⫍C84)⫌⩹⨱)⋳⪒(⪎⋱⫍24A6⋥≓≎⪎⋱⫍808⊭↱⪎⋱⫍66C∑⇟⊟⪎⋱⫍2029)+(⪎⋱⫍1171↬⪎⋱⫍799)⊴(⪎⋱⫍7C3⩨⪎⋱⫍81B)≭((⪎⋱⫍754⊭↱⪎⋱⫍67C)≎⊠⪸(⪎⋱⫍1B74⊉≛↸⪎⋱⫍233B))","cot":[{"info":"⪎⋱⫍345A+⪎⋱⫍C84=⪎⋱⫍4411","layer":3},{"info":"⪎⋱⫍4411⫌⩹⨱=⪎⋱⫍935C","layer":2},{"info":"⪎⋱⫍24A6⋥≓≎⪎⋱⫍808=⪎⋱⫍-1169","layer":3},{"info":"⪎⋱⫍66C∑⇟⊟⪎⋱⫍2029=NaN","layer":3},{"info":"⪎⋱⫍-1169⊭↱NaN=NaN","layer":2},{"info":"⪎⋱⫍935C⋳⪒NaN=NaN","layer":1},{"info":"⪎⋱⫍1171↬⪎⋱⫍799=NaN","layer":3},{"info":"⪎⋱⫍7C3⩨⪎⋱⫍81B=⪎⋱⫍-3","layer":3},{"info":"NaN⊴⪎⋱⫍-3=NaN","layer":2},{"info":"⪎⋱⫍754⊭↱⪎⋱⫍67C=⪎⋱⫍-175","layer":3},{"info":"⪎⋱⫍1B74⊉≛↸⪎⋱⫍233B=⪎⋱⫍3A18","layer":3},{"info":"⪎⋱⫍-175≎⊠⪸⪎⋱⫍3A18=⪎⋱⫍25318","layer":2},{"info":"NaN≭⪎⋱⫍25318=NaN","layer":1},{"info":"NaN+NaN=NaN","layer":0}]}
{"id":387,"expression_no_base_symbol":"↩(⊙↵-(($1298$⋝⋈⪟$3202$)⊪))","expression":"↩(⊙↵-((⪎⋱⫍78B⋝⋈⪟⪎⋱⫍15C4)⊪))","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":82,"operation_count":4,"complexity_ratio":20.5,"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":1298,"base":13},"right_expr":{"type":"numeric_atoms","value":3202,"base":13}}}}},"used_operators":["jLgFTUHLKL","oWn0xqSxBt","zVYPLywUTj","2DDjHMKMc0"],"dependent_operators":["sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍2288","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1298","layer":4},{"info":"number node, value=3202","layer":4},{"info":"compute binary expreesion, left_input=1298, right_input=3202, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1298","layer":3},{"info":"compute unary expreesion, input=1298, 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 = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', 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":13,"result_base":13,"text":"↩(⊙↵-((⪎⋱⫍78B⋝⋈⪟⪎⋱⫍15C4)⊪))=⪎⋱⫍2288","reverse_text":"⪎⋱⫍2288=↩(⊙↵-((⪎⋱⫍78B⋝⋈⪟⪎⋱⫍15C4)⊪))","cot":[{"info":"⪎⋱⫍78B⋝⋈⪟⪎⋱⫍15C4=⪎⋱⫍78B","layer":3},{"info":"⪎⋱⫍78B⊪=⪎⋱⫍0","layer":2},{"info":"⊙↵-⪎⋱⫍0=⪎⋱⫍0","layer":1},{"info":"↩⪎⋱⫍0=⪎⋱⫍2288","layer":0}]}
{"id":388,"expression_no_base_symbol":"($5793$≧⫂∧$2905$⋓(⨵≀≌$8647$))⪛($4058$+⇶⊼$1256$⊘)-(($1275$≹⇙⪍$2697$⊪)⫩⊇)","expression":"(⪎⋱⫍2838≧⫂∧⪎⋱⫍1426⋓(⨵≀≌⪎⋱⫍3C22))⪛(⪎⋱⫍1B02+⇶⊼⪎⋱⫍758⊘)-((⪎⋱⫍771≹⇙⪍⪎⋱⫍12C6⊪)⫩⊇)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":60,"operation_count":10,"complexity_ratio":6.0,"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":5793,"base":13},"right_expr":{"type":"numeric_atoms","value":2905,"base":13}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":8647,"base":13}}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":4058,"base":13},"right_expr":{"type":"numeric_atoms","value":1256,"base":13}}}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1275,"base":13},"right_expr":{"type":"numeric_atoms","value":2697,"base":13}}}}},"used_operators":["rysDP5nf3Z","uFcxV4UQCh","T2fj7uvVaJ","Ph9nP6C5qx","srAu1WTS94","gu96TGCTMs","TpPTUOHfaN","BjRHVeLaeN","zVYPLywUTj","AHs5Up7iyr"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5793","layer":4},{"info":"number node, value=2905","layer":4},{"info":"compute binary expreesion, left_input=5793, right_input=2905, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2432","layer":3},{"info":"number node, value=8647","layer":4},{"info":"compute unary expreesion, input=8647, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-25941","layer":3},{"info":"compute binary expreesion, left_input=2432, right_input=-25941, op_id = T2fj7uvVaJ binary_op_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=4058","layer":4},{"info":"number node, value=1256","layer":4},{"info":"compute binary expreesion, left_input=4058, right_input=1256, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":1},{"info":"number node, value=1275","layer":4},{"info":"number node, value=2697","layer":4},{"info":"compute binary expreesion, left_input=1275, right_input=2697, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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 = 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 = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', 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":13,"result_base":13,"text":"(⪎⋱⫍2838≧⫂∧⪎⋱⫍1426⋓(⨵≀≌⪎⋱⫍3C22))⪛(⪎⋱⫍1B02+⇶⊼⪎⋱⫍758⊘)-((⪎⋱⫍771≹⇙⪍⪎⋱⫍12C6⊪)⫩⊇)=NaN","reverse_text":"NaN=(⪎⋱⫍2838≧⫂∧⪎⋱⫍1426⋓(⨵≀≌⪎⋱⫍3C22))⪛(⪎⋱⫍1B02+⇶⊼⪎⋱⫍758⊘)-((⪎⋱⫍771≹⇙⪍⪎⋱⫍12C6⊪)⫩⊇)","cot":[{"info":"⪎⋱⫍2838≧⫂∧⪎⋱⫍1426=⪎⋱⫍1151","layer":3},{"info":"⨵≀≌⪎⋱⫍3C22=⪎⋱⫍-BA66","layer":3},{"info":"⪎⋱⫍1151⋓⪎⋱⫍-BA66=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍1B02+⇶⊼⪎⋱⫍758=NaN","layer":3},{"info":"NaN⊘=NaN","layer":2},{"info":"⪎⋱⫍0⪛NaN=NaN","layer":1},{"info":"⪎⋱⫍771≹⇙⪍⪎⋱⫍12C6=NaN","layer":3},{"info":"NaN⊪=NaN","layer":2},{"info":"NaN⫩⊇=NaN","layer":1},{"info":"NaN-NaN=NaN","layer":0}]}
{"id":389,"expression_no_base_symbol":"((↥$1320$)↺$5615$⪮%⊝$1157$⪒($2101$⨁⊸⫻)⋥≓≎($8969$⋷$1284$))⪮%⊝(⊥(⇁⨣⪵$2445$⫸⊐$1086$))","expression":"((↥⪎⋱⫍7A7)↺⪎⋱⫍272C⪮%⊝⪎⋱⫍6B0⪒(⪎⋱⫍C58⨁⊸⫻)⋥≓≎(⪎⋱⫍410C⋷⪎⋱⫍77A))⪮%⊝(⊥(⇁⨣⪵⪎⋱⫍1161⫸⊐⪎⋱⫍657))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":82,"operation_count":11,"complexity_ratio":7.454545454545454,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":1320,"base":13}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":5615,"base":13},"right_expr":{"type":"numeric_atoms","value":1157,"base":13}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":2101,"base":13}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":8969,"base":13},"right_expr":{"type":"numeric_atoms","value":1284,"base":13}}}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2445,"base":13},"right_expr":{"type":"numeric_atoms","value":1086,"base":13}}}}},"used_operators":["IWmyXbctLI","f6k1SAg4EE","7j4O788W3g","A8NUZmVepG","Qy55tPpLXF","glklzrTFfD","23Mk6UjR3U","Q3PJZHRvZv","inkyxCbjAn","mqXw5SEYmG"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","fu6greOZ01","B5M0gjZbta","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1320","layer":4},{"info":"compute unary expreesion, input=1320, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=45","layer":3},{"info":"number node, value=5615","layer":4},{"info":"number node, value=1157","layer":4},{"info":"compute binary expreesion, left_input=5615, right_input=1157, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=11546","layer":3},{"info":"compute binary expreesion, left_input=45, right_input=11546, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=11546","layer":2},{"info":"number node, value=2101","layer":4},{"info":"compute unary expreesion, input=2101, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=2101","layer":3},{"info":"number node, value=8969","layer":4},{"info":"number node, value=1284","layer":4},{"info":"compute binary expreesion, left_input=8969, right_input=1284, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-6401","layer":3},{"info":"compute binary expreesion, left_input=2101, right_input=-6401, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-14870","layer":2},{"info":"compute binary expreesion, left_input=11546, right_input=-14870, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=3324","layer":1},{"info":"number node, value=2445","layer":4},{"info":"number node, value=1086","layer":4},{"info":"compute binary expreesion, left_input=2445, right_input=1086, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=4219","layer":3},{"info":"compute unary expreesion, input=4219, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=3324, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((↥⪎⋱⫍7A7)↺⪎⋱⫍272C⪮%⊝⪎⋱⫍6B0⪒(⪎⋱⫍C58⨁⊸⫻)⋥≓≎(⪎⋱⫍410C⋷⪎⋱⫍77A))⪮%⊝(⊥(⇁⨣⪵⪎⋱⫍1161⫸⊐⪎⋱⫍657))=NaN","reverse_text":"NaN=((↥⪎⋱⫍7A7)↺⪎⋱⫍272C⪮%⊝⪎⋱⫍6B0⪒(⪎⋱⫍C58⨁⊸⫻)⋥≓≎(⪎⋱⫍410C⋷⪎⋱⫍77A))⪮%⊝(⊥(⇁⨣⪵⪎⋱⫍1161⫸⊐⪎⋱⫍657))","cot":[{"info":"↥⪎⋱⫍7A7=⪎⋱⫍36","layer":3},{"info":"⪎⋱⫍272C⪮%⊝⪎⋱⫍6B0=⪎⋱⫍5342","layer":3},{"info":"⪎⋱⫍36↺⪎⋱⫍5342=⪎⋱⫍5342","layer":2},{"info":"⪎⋱⫍C58⨁⊸⫻=⪎⋱⫍C58","layer":3},{"info":"⪎⋱⫍410C⋷⪎⋱⫍77A=⪎⋱⫍-2BB5","layer":3},{"info":"⪎⋱⫍C58⋥≓≎⪎⋱⫍-2BB5=⪎⋱⫍-69CB","layer":2},{"info":"⪎⋱⫍5342⪒⪎⋱⫍-69CB=⪎⋱⫍1689","layer":1},{"info":"⪎⋱⫍1161⫸⊐⪎⋱⫍657=⪎⋱⫍1BC7","layer":3},{"info":"⇁⨣⪵⪎⋱⫍1BC7=NaN","layer":2},{"info":"⊥NaN=NaN","layer":1},{"info":"⪎⋱⫍1689⪮%⊝NaN=NaN","layer":0}]}
{"id":390,"expression_no_base_symbol":"⨵≀≌($1020$⊴$2557$⨵⪆$1966$⇷$1295$)⫥∨⫟$5349$⋓$6482$≭($4181$⨽$5354$)","expression":"⨵≀≌(⪎⋱⫍606⊴⪎⋱⫍1219⨵⪆⪎⋱⫍B83⇷⪎⋱⫍788)⫥∨⫟⪎⋱⫍2586⋓⪎⋱⫍2C48≭(⪎⋱⫍1B98⨽⪎⋱⫍258B)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":34455,"operation_count":8,"complexity_ratio":4306.875,"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":1020,"base":13},"right_expr":{"type":"numeric_atoms","value":2557,"base":13}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1966,"base":13},"right_expr":{"type":"numeric_atoms","value":1295,"base":13}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":5349,"base":13},"right_expr":{"type":"numeric_atoms","value":6482,"base":13}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":4181,"base":13},"right_expr":{"type":"numeric_atoms","value":5354,"base":13}}}}},"used_operators":["srAu1WTS94","KYD54nUTWz","2DQ55sFlQl","Nsiff2A1zJ","mp7IySMOzn","rxpJgHHUmx","T2fj7uvVaJ","8HhzD0ZcuI"],"dependent_operators":["glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","AHs5Up7iyr","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1020","layer":4},{"info":"number node, value=2557","layer":4},{"info":"compute binary expreesion, left_input=1020, right_input=2557, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=1966","layer":4},{"info":"number node, value=1295","layer":4},{"info":"compute binary expreesion, left_input=1966, right_input=1295, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2590","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2590, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=5349","layer":4},{"info":"number node, value=6482","layer":4},{"info":"compute binary expreesion, left_input=5349, right_input=6482, op_id = T2fj7uvVaJ binary_op_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=4181","layer":4},{"info":"number node, value=5354","layer":4},{"info":"compute binary expreesion, left_input=4181, right_input=5354, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-52457031","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-52457031, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⨵≀≌(⪎⋱⫍606⊴⪎⋱⫍1219⨵⪆⪎⋱⫍B83⇷⪎⋱⫍788)⫥∨⫟⪎⋱⫍2586⋓⪎⋱⫍2C48≭(⪎⋱⫍1B98⨽⪎⋱⫍258B)=NaN","reverse_text":"NaN=⨵≀≌(⪎⋱⫍606⊴⪎⋱⫍1219⨵⪆⪎⋱⫍B83⇷⪎⋱⫍788)⫥∨⫟⪎⋱⫍2586⋓⪎⋱⫍2C48≭(⪎⋱⫍1B98⨽⪎⋱⫍258B)","cot":[{"info":"⪎⋱⫍606⊴⪎⋱⫍1219=NaN","layer":3},{"info":"⪎⋱⫍B83⇷⪎⋱⫍788=⪎⋱⫍1243","layer":3},{"info":"NaN⨵⪆⪎⋱⫍1243=⪎⋱⫍C4","layer":2},{"info":"⪎⋱⫍2586⋓⪎⋱⫍2C48=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍1B98⨽⪎⋱⫍258B=⪎⋱⫍-AB38883","layer":3},{"info":"⪎⋱⫍0≭⪎⋱⫍-AB38883=NaN","layer":2},{"info":"⪎⋱⫍C4⫥∨⫟NaN=NaN","layer":1},{"info":"⨵≀≌NaN=NaN","layer":0}]}
{"id":391,"expression_no_base_symbol":"($3223$⇷$3324$⨳⩥⨓($2284$⫸⊐$3162$)/($1261$-$3167$)⪒$1446$≭$1800$)⨰(($1547$/$1364$)⩨($3943$+$1490$))⊴(≉$2151$≭$1228$)","expression":"(⪎⋱⫍160C⇷⪎⋱⫍1689⨳⩥⨓(⪎⋱⫍1069⫸⊐⪎⋱⫍1593)/(⪎⋱⫍760-⪎⋱⫍1598)⪒⪎⋱⫍873≭⪎⋱⫍A86)⨰((⪎⋱⫍920/⪎⋱⫍80C)⩨(⪎⋱⫍1A44+⪎⋱⫍8A8))⊴(≉⪎⋱⫍C96≭⪎⋱⫍736)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":50614,"operation_count":14,"complexity_ratio":3615.285714285714,"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":3223,"base":13},"right_expr":{"type":"numeric_atoms","value":3324,"base":13}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2284,"base":13},"right_expr":{"type":"numeric_atoms","value":3162,"base":13}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1261,"base":13},"right_expr":{"type":"numeric_atoms","value":3167,"base":13}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1446,"base":13},"right_expr":{"type":"numeric_atoms","value":1800,"base":13}}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1547,"base":13},"right_expr":{"type":"numeric_atoms","value":1364,"base":13}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":3943,"base":13},"right_expr":{"type":"numeric_atoms","value":1490,"base":13}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2151,"base":13},"right_expr":{"type":"numeric_atoms","value":1228,"base":13}}}}},"used_operators":["eewbuw0ToL","XhwjNDsVaA","nCS4ZIUYfx","mp7IySMOzn","mqXw5SEYmG","f6k1SAg4EE","rysDP5nf3Z","rxpJgHHUmx","Nsiff2A1zJ","2DlMacCsIx","W4YGzv6Whe","e1ybzncUwg"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","dWAJyo7jo9","14qkJME0vr","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3223","layer":4},{"info":"number node, value=3324","layer":4},{"info":"compute binary expreesion, left_input=3223, right_input=3324, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=6648","layer":3},{"info":"number node, value=2284","layer":4},{"info":"number node, value=3162","layer":4},{"info":"compute binary expreesion, left_input=2284, right_input=3162, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=12523","layer":3},{"info":"compute binary expreesion, left_input=6648, right_input=12523, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=5875","layer":2},{"info":"number node, value=1261","layer":4},{"info":"number node, value=3167","layer":4},{"info":"compute binary expreesion, left_input=1261, right_input=3167, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-1906","layer":3},{"info":"number node, value=1446","layer":4},{"info":"number node, value=1800","layer":4},{"info":"compute binary expreesion, left_input=1446, right_input=1800, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=-1906, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=5875, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=1547","layer":4},{"info":"number node, value=1364","layer":4},{"info":"compute binary expreesion, left_input=1547, right_input=1364, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"number node, value=3943","layer":4},{"info":"number node, value=1490","layer":4},{"info":"compute binary expreesion, left_input=3943, right_input=1490, op_id = W4YGzv6Whe binary_op_definition= 'None', output=5433","layer":3},{"info":"compute binary expreesion, left_input=1, right_input=5433, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-16299","layer":2},{"info":"number node, value=2151","layer":4},{"info":"number node, value=1228","layer":4},{"info":"compute binary expreesion, left_input=2151, right_input=1228, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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 = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-16299, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍160C⇷⪎⋱⫍1689⨳⩥⨓(⪎⋱⫍1069⫸⊐⪎⋱⫍1593)/(⪎⋱⫍760-⪎⋱⫍1598)⪒⪎⋱⫍873≭⪎⋱⫍A86)⨰((⪎⋱⫍920/⪎⋱⫍80C)⩨(⪎⋱⫍1A44+⪎⋱⫍8A8))⊴(≉⪎⋱⫍C96≭⪎⋱⫍736)=NaN","reverse_text":"NaN=(⪎⋱⫍160C⇷⪎⋱⫍1689⨳⩥⨓(⪎⋱⫍1069⫸⊐⪎⋱⫍1593)/(⪎⋱⫍760-⪎⋱⫍1598)⪒⪎⋱⫍873≭⪎⋱⫍A86)⨰((⪎⋱⫍920/⪎⋱⫍80C)⩨(⪎⋱⫍1A44+⪎⋱⫍8A8))⊴(≉⪎⋱⫍C96≭⪎⋱⫍736)","cot":[{"info":"⪎⋱⫍160C⇷⪎⋱⫍1689=⪎⋱⫍3045","layer":3},{"info":"⪎⋱⫍1069⫸⊐⪎⋱⫍1593=⪎⋱⫍5914","layer":3},{"info":"⪎⋱⫍3045⨳⩥⨓⪎⋱⫍5914=⪎⋱⫍289C","layer":2},{"info":"⪎⋱⫍760-⪎⋱⫍1598=⪎⋱⫍-B38","layer":3},{"info":"⪎⋱⫍873≭⪎⋱⫍A86=NaN","layer":3},{"info":"⪎⋱⫍-B38⪒NaN=NaN","layer":2},{"info":"⪎⋱⫍289C/NaN=NaN","layer":1},{"info":"⪎⋱⫍920/⪎⋱⫍80C=⪎⋱⫍1","layer":3},{"info":"⪎⋱⫍1A44+⪎⋱⫍8A8=⪎⋱⫍261C","layer":3},{"info":"⪎⋱⫍1⩨⪎⋱⫍261C=⪎⋱⫍-755A","layer":2},{"info":"⪎⋱⫍C96≭⪎⋱⫍736=NaN","layer":3},{"info":"≉NaN=NaN","layer":2},{"info":"⪎⋱⫍-755A⊴NaN=NaN","layer":1},{"info":"NaN⨰NaN=NaN","layer":0}]}
{"id":392,"expression_no_base_symbol":"(⨑⩽⪐($2788$⨵⪆$2504$⫡⨏$1880$⫸⊐$3812$))⊭↱($2776$⨓$3923$-$4032$⩚⊴⇥$1006$)↙($5667$⨓$5256$)⨟⋌⩍(⋗⩬⋾$5284$)","expression":"(⨑⩽⪐(⪎⋱⫍1366⨵⪆⪎⋱⫍11A8⫡⨏⪎⋱⫍B18⫸⊐⪎⋱⫍1973))⊭↱(⪎⋱⫍1357⨓⪎⋱⫍1A2A-⪎⋱⫍1AB2⩚⊴⇥⪎⋱⫍5C5)↙(⪎⋱⫍276C⨓⪎⋱⫍2514)⨟⋌⩍(⋗⩬⋾⪎⋱⫍2536)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":9245,"operation_count":12,"complexity_ratio":770.4166666666666,"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":2788,"base":13},"right_expr":{"type":"numeric_atoms","value":2504,"base":13}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1880,"base":13},"right_expr":{"type":"numeric_atoms","value":3812,"base":13}}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2776,"base":13},"right_expr":{"type":"numeric_atoms","value":3923,"base":13}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":4032,"base":13},"right_expr":{"type":"numeric_atoms","value":1006,"base":13}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":5667,"base":13},"right_expr":{"type":"numeric_atoms","value":5256,"base":13}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":5284,"base":13}}}}},"used_operators":["COABgblf1C","AF7qkfDlqP","QMFrweE19q","2DQ55sFlQl","mqXw5SEYmG","yyfyN0ffXY","rysDP5nf3Z","3ViojmjbAp","NTOWxs364D","rGHVDoGpnC","DpFCA1CohY"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","tmPS8pqC7x","DpFCA1CohY","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","Tcnh7f0tEr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2788","layer":4},{"info":"number node, value=2504","layer":4},{"info":"compute binary expreesion, left_input=2788, right_input=2504, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=1880","layer":4},{"info":"number node, value=3812","layer":4},{"info":"compute binary expreesion, left_input=1880, right_input=3812, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=15123","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=15123, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=31829","layer":2},{"info":"compute unary expreesion, input=31829, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-31556","layer":1},{"info":"number node, value=2776","layer":4},{"info":"number node, value=3923","layer":4},{"info":"compute binary expreesion, left_input=2776, right_input=3923, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3926","layer":3},{"info":"number node, value=4032","layer":4},{"info":"number node, value=1006","layer":4},{"info":"compute binary expreesion, left_input=4032, right_input=1006, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-5159","layer":3},{"info":"compute binary expreesion, left_input=-3926, right_input=-5159, op_id = rysDP5nf3Z binary_op_definition= 'None', output=1233","layer":2},{"info":"number node, value=5667","layer":4},{"info":"number node, value=5256","layer":4},{"info":"compute binary expreesion, left_input=5667, right_input=5256, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-5259","layer":3},{"info":"number node, value=5284","layer":4},{"info":"compute unary expreesion, input=5284, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-15852","layer":3},{"info":"compute binary expreesion, left_input=-5259, right_input=-15852, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=1233, 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=-31556, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⨑⩽⪐(⪎⋱⫍1366⨵⪆⪎⋱⫍11A8⫡⨏⪎⋱⫍B18⫸⊐⪎⋱⫍1973))⊭↱(⪎⋱⫍1357⨓⪎⋱⫍1A2A-⪎⋱⫍1AB2⩚⊴⇥⪎⋱⫍5C5)↙(⪎⋱⫍276C⨓⪎⋱⫍2514)⨟⋌⩍(⋗⩬⋾⪎⋱⫍2536)=NaN","reverse_text":"NaN=(⨑⩽⪐(⪎⋱⫍1366⨵⪆⪎⋱⫍11A8⫡⨏⪎⋱⫍B18⫸⊐⪎⋱⫍1973))⊭↱(⪎⋱⫍1357⨓⪎⋱⫍1A2A-⪎⋱⫍1AB2⩚⊴⇥⪎⋱⫍5C5)↙(⪎⋱⫍276C⨓⪎⋱⫍2514)⨟⋌⩍(⋗⩬⋾⪎⋱⫍2536)","cot":[{"info":"⪎⋱⫍1366⨵⪆⪎⋱⫍11A8=⪎⋱⫍C4","layer":3},{"info":"⪎⋱⫍B18⫸⊐⪎⋱⫍1973=⪎⋱⫍6B64","layer":3},{"info":"⪎⋱⫍C4⫡⨏⪎⋱⫍6B64=⪎⋱⫍11645","layer":2},{"info":"⨑⩽⪐⪎⋱⫍11645=⪎⋱⫍-11495","layer":1},{"info":"⪎⋱⫍1357⨓⪎⋱⫍1A2A=⪎⋱⫍-1A30","layer":3},{"info":"⪎⋱⫍1AB2⩚⊴⇥⪎⋱⫍5C5=⪎⋱⫍-246B","layer":3},{"info":"⪎⋱⫍-1A30-⪎⋱⫍-246B=⪎⋱⫍73B","layer":2},{"info":"⪎⋱⫍276C⨓⪎⋱⫍2514=⪎⋱⫍-2517","layer":3},{"info":"⋗⩬⋾⪎⋱⫍2536=⪎⋱⫍-72A5","layer":3},{"info":"⪎⋱⫍-2517⨟⋌⩍⪎⋱⫍-72A5=NaN","layer":2},{"info":"⪎⋱⫍73B↙NaN=NaN","layer":1},{"info":"⪎⋱⫍-11495⊭↱NaN=NaN","layer":0}]}
{"id":393,"expression_no_base_symbol":"((($1005$≋⫹)⩤)∲⫓(-($1302$⨵⪆$2312$)))⨎(⫛⫱⨽(($8837$≋⫹)⪒$3665$⋳⪒$2385$))","expression":"(((⪎⋱⫍5C4≋⫹)⩤)∲⫓(-(⪎⋱⫍792⨵⪆⪎⋱⫍108B)))⨎(⫛⫱⨽((⪎⋱⫍403A≋⫹)⪒⪎⋱⫍188C⋳⪒⪎⋱⫍1116))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1443,"operation_count":10,"complexity_ratio":144.3,"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":1005,"base":13}}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1302,"base":13},"right_expr":{"type":"numeric_atoms","value":2312,"base":13}}}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":8837,"base":13}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":3665,"base":13},"right_expr":{"type":"numeric_atoms","value":2385,"base":13}}}}},"used_operators":["rJVOvQCfKK","i8ToyICDmI","Z2TMIBDE3Q","N41Kp7NANJ","t8gj7n24qd","2DQ55sFlQl","DlLNRPXxWL","f6k1SAg4EE","12rbrZMWeM"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1005","layer":4},{"info":"compute unary expreesion, input=1005, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-2010","layer":3},{"info":"compute unary expreesion, input=-2010, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=2010","layer":2},{"info":"number node, value=1302","layer":4},{"info":"number node, value=2312","layer":4},{"info":"compute binary expreesion, left_input=1302, right_input=2312, 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 = t8gj7n24qd, unary_op_definition = 'None', output=-160","layer":2},{"info":"compute binary expreesion, left_input=2010, right_input=-160, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=2010","layer":1},{"info":"number node, value=8837","layer":4},{"info":"compute unary expreesion, input=8837, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-17674","layer":3},{"info":"number node, value=3665","layer":4},{"info":"number node, value=2385","layer":4},{"info":"compute binary expreesion, left_input=3665, right_input=2385, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=4658","layer":3},{"info":"compute binary expreesion, left_input=-17674, right_input=4658, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=13016","layer":2},{"info":"compute unary expreesion, input=13016, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=2010, 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":13,"result_base":13,"text":"(((⪎⋱⫍5C4≋⫹)⩤)∲⫓(-(⪎⋱⫍792⨵⪆⪎⋱⫍108B)))⨎(⫛⫱⨽((⪎⋱⫍403A≋⫹)⪒⪎⋱⫍188C⋳⪒⪎⋱⫍1116))=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=(((⪎⋱⫍5C4≋⫹)⩤)∲⫓(-(⪎⋱⫍792⨵⪆⪎⋱⫍108B)))⨎(⫛⫱⨽((⪎⋱⫍403A≋⫹)⪒⪎⋱⫍188C⋳⪒⪎⋱⫍1116))","cot":[{"info":"⪎⋱⫍5C4≋⫹=⪎⋱⫍-BB8","layer":3},{"info":"⪎⋱⫍-BB8⩤=⪎⋱⫍BB8","layer":2},{"info":"⪎⋱⫍792⨵⪆⪎⋱⫍108B=⪎⋱⫍C4","layer":3},{"info":"-⪎⋱⫍C4=⪎⋱⫍-C4","layer":2},{"info":"⪎⋱⫍BB8∲⫓⪎⋱⫍-C4=⪎⋱⫍BB8","layer":1},{"info":"⪎⋱⫍403A≋⫹=⪎⋱⫍-8077","layer":3},{"info":"⪎⋱⫍188C⋳⪒⪎⋱⫍1116=⪎⋱⫍2174","layer":3},{"info":"⪎⋱⫍-8077⪒⪎⋱⫍2174=⪎⋱⫍5C03","layer":2},{"info":"⫛⫱⨽⪎⋱⫍5C03=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍BB8⨎⪎⋱⫍0=⪎⋱⫍0","layer":0}]}
{"id":394,"expression_no_base_symbol":"(($1240$↪⪝)⩠)⪮%⊝(≤/$3679$⋓$1231$)⨵⪆($2025$⊉≛↸$3985$+$2294$⨓$1764$)⨰($1886$⨐⩸⫘$7126$/$3273$⪛$1494$)","expression":"((⪎⋱⫍745↪⪝)⩠)⪮%⊝(≤/⪎⋱⫍18A0⋓⪎⋱⫍739)⨵⪆(⪎⋱⫍BCA⊉≛↸⪎⋱⫍1A77+⪎⋱⫍1076⨓⪎⋱⫍A59)⨰(⪎⋱⫍B21⨐⩸⫘⪎⋱⫍3322/⪎⋱⫍164A⪛⪎⋱⫍8AC)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2528,"operation_count":13,"complexity_ratio":194.46153846153845,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":1240,"base":13}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":3679,"base":13},"right_expr":{"type":"numeric_atoms","value":1231,"base":13}}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2025,"base":13},"right_expr":{"type":"numeric_atoms","value":3985,"base":13}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2294,"base":13},"right_expr":{"type":"numeric_atoms","value":1764,"base":13}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1886,"base":13},"right_expr":{"type":"numeric_atoms","value":7126,"base":13}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":3273,"base":13},"right_expr":{"type":"numeric_atoms","value":1494,"base":13}}}}},"used_operators":["2DQ55sFlQl","IWmyXbctLI","sJAwomhLZr","l07mrZUIn9","eLAdDNolq6","T2fj7uvVaJ","eewbuw0ToL","W4YGzv6Whe","DZ8iAZOCBD","3ViojmjbAp","XhwjNDsVaA","fu6greOZ01","uFcxV4UQCh"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","9HNa5Wba9A","2DDjHMKMc0","rysDP5nf3Z","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","3ViojmjbAp","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"⪎⋱⫍C4","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1240","layer":4},{"info":"compute unary expreesion, input=1240, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=75865680","layer":3},{"info":"compute unary expreesion, input=75865680, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":2},{"info":"number node, value=3679","layer":4},{"info":"number node, value=1231","layer":4},{"info":"compute binary expreesion, left_input=3679, right_input=1231, op_id = T2fj7uvVaJ binary_op_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":"compute binary expreesion, left_input=0, right_input=484, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=316","layer":1},{"info":"number node, value=2025","layer":4},{"info":"number node, value=3985","layer":4},{"info":"compute binary expreesion, left_input=2025, right_input=3985, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=4050","layer":3},{"info":"number node, value=2294","layer":4},{"info":"number node, value=1764","layer":4},{"info":"compute binary expreesion, left_input=2294, right_input=1764, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1767","layer":3},{"info":"compute binary expreesion, left_input=4050, right_input=-1767, op_id = W4YGzv6Whe binary_op_definition= 'None', output=2283","layer":2},{"info":"number node, value=1886","layer":4},{"info":"number node, value=7126","layer":4},{"info":"compute binary expreesion, left_input=1886, right_input=7126, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=3273","layer":4},{"info":"number node, value=1494","layer":4},{"info":"compute binary expreesion, left_input=3273, right_input=1494, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=285","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=285, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=2283, 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=316, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍745↪⪝)⩠)⪮%⊝(≤/⪎⋱⫍18A0⋓⪎⋱⫍739)⨵⪆(⪎⋱⫍BCA⊉≛↸⪎⋱⫍1A77+⪎⋱⫍1076⨓⪎⋱⫍A59)⨰(⪎⋱⫍B21⨐⩸⫘⪎⋱⫍3322/⪎⋱⫍164A⪛⪎⋱⫍8AC)=⪎⋱⫍C4","reverse_text":"⪎⋱⫍C4=((⪎⋱⫍745↪⪝)⩠)⪮%⊝(≤/⪎⋱⫍18A0⋓⪎⋱⫍739)⨵⪆(⪎⋱⫍BCA⊉≛↸⪎⋱⫍1A77+⪎⋱⫍1076⨓⪎⋱⫍A59)⨰(⪎⋱⫍B21⨐⩸⫘⪎⋱⫍3322/⪎⋱⫍164A⪛⪎⋱⫍8AC)","cot":[{"info":"⪎⋱⫍745↪⪝=⪎⋱⫍12943647","layer":3},{"info":"⪎⋱⫍12943647⩠=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍18A0⋓⪎⋱⫍739=⪎⋱⫍0","layer":3},{"info":"≤/⪎⋱⫍0=⪎⋱⫍2B3","layer":2},{"info":"⪎⋱⫍0⪮%⊝⪎⋱⫍2B3=⪎⋱⫍1B4","layer":1},{"info":"⪎⋱⫍BCA⊉≛↸⪎⋱⫍1A77=⪎⋱⫍1AC7","layer":3},{"info":"⪎⋱⫍1076⨓⪎⋱⫍A59=⪎⋱⫍-A5C","layer":3},{"info":"⪎⋱⫍1AC7+⪎⋱⫍-A5C=⪎⋱⫍1068","layer":2},{"info":"⪎⋱⫍B21⨐⩸⫘⪎⋱⫍3322=NaN","layer":3},{"info":"⪎⋱⫍164A⪛⪎⋱⫍8AC=⪎⋱⫍18C","layer":3},{"info":"NaN/⪎⋱⫍18C=NaN","layer":2},{"info":"⪎⋱⫍1068⨰NaN=NaN","layer":1},{"info":"⪎⋱⫍1B4⨵⪆NaN=⪎⋱⫍C4","layer":0}]}
{"id":395,"expression_no_base_symbol":"⇁⨣⪵(($5191$⫥∨⫟$1678$)≧⫂∧($5241$⨸⪁$1113$)⨵⪆(⇁⨣⪵($1636$∲⫓$2286$)))","expression":"⇁⨣⪵((⪎⋱⫍2494⫥∨⫟⪎⋱⫍9C1)≧⫂∧(⪎⋱⫍2502⨸⪁⪎⋱⫍678)⨵⪆(⇁⨣⪵(⪎⋱⫍98B∲⫓⪎⋱⫍106B)))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":163,"operation_count":7,"complexity_ratio":23.285714285714285,"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":5191,"base":13},"right_expr":{"type":"numeric_atoms","value":1678,"base":13}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":5241,"base":13},"right_expr":{"type":"numeric_atoms","value":1113,"base":13}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1636,"base":13},"right_expr":{"type":"numeric_atoms","value":2286,"base":13}}}}},"used_operators":["inkyxCbjAn","2DQ55sFlQl","Ph9nP6C5qx","KYD54nUTWz","g55IO6H4Gj","i8ToyICDmI"],"dependent_operators":["B5M0gjZbta","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=5191","layer":4},{"info":"number node, value=1678","layer":4},{"info":"compute binary expreesion, left_input=5191, right_input=1678, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=5241","layer":4},{"info":"number node, value=1113","layer":4},{"info":"compute binary expreesion, left_input=5241, right_input=1113, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=12708","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=12708, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=12235","layer":2},{"info":"number node, value=1636","layer":4},{"info":"number node, value=2286","layer":4},{"info":"compute binary expreesion, left_input=1636, right_input=2286, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=12235, right_input=0, 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 = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⇁⨣⪵((⪎⋱⫍2494⫥∨⫟⪎⋱⫍9C1)≧⫂∧(⪎⋱⫍2502⨸⪁⪎⋱⫍678)⨵⪆(⇁⨣⪵(⪎⋱⫍98B∲⫓⪎⋱⫍106B)))=NaN","reverse_text":"NaN=⇁⨣⪵((⪎⋱⫍2494⫥∨⫟⪎⋱⫍9C1)≧⫂∧(⪎⋱⫍2502⨸⪁⪎⋱⫍678)⨵⪆(⇁⨣⪵(⪎⋱⫍98B∲⫓⪎⋱⫍106B)))","cot":[{"info":"⪎⋱⫍2494⫥∨⫟⪎⋱⫍9C1=NaN","layer":3},{"info":"⪎⋱⫍2502⨸⪁⪎⋱⫍678=⪎⋱⫍5A27","layer":3},{"info":"NaN≧⫂∧⪎⋱⫍5A27=⪎⋱⫍5752","layer":2},{"info":"⪎⋱⫍98B∲⫓⪎⋱⫍106B=⪎⋱⫍0","layer":3},{"info":"⇁⨣⪵⪎⋱⫍0=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍5752⨵⪆⪎⋱⫍0=⪎⋱⫍C4","layer":1},{"info":"⇁⨣⪵⪎⋱⫍C4=NaN","layer":0}]}
{"id":396,"expression_no_base_symbol":"⨵≀≌(⨰⫟⨤(⪲⇎$2118$∀⇚≩$7039$))","expression":"⨵≀≌(⨰⫟⨤(⪲⇎⪎⋱⫍C6C∀⇚≩⪎⋱⫍3286))","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":14860,"operation_count":4,"complexity_ratio":3715.0,"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":2118,"base":13},"right_expr":{"type":"numeric_atoms","value":7039,"base":13}}}}},"used_operators":["srAu1WTS94","Tw270M8GLb","XPYlsWDdGa","LRNGc0VcxI"],"dependent_operators":["glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2118","layer":4},{"info":"number node, value=7039","layer":4},{"info":"compute binary expreesion, left_input=2118, right_input=7039, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":1},{"info":"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":13,"result_base":13,"text":"⨵≀≌(⨰⫟⨤(⪲⇎⪎⋱⫍C6C∀⇚≩⪎⋱⫍3286))=NaN","reverse_text":"NaN=⨵≀≌(⨰⫟⨤(⪲⇎⪎⋱⫍C6C∀⇚≩⪎⋱⫍3286))","cot":[{"info":"⪎⋱⫍C6C∀⇚≩⪎⋱⫍3286=NaN","layer":3},{"info":"⪲⇎NaN=NaN","layer":2},{"info":"⨰⫟⨤NaN=NaN","layer":1},{"info":"⨵≀≌NaN=NaN","layer":0}]}
{"id":397,"expression_no_base_symbol":"⪝⪂⫅(⫛⫱⨽(⋗⩬⋾$3279$⪢$3026$))","expression":"⪝⪂⫅(⫛⫱⨽(⋗⩬⋾⪎⋱⫍1653⪢⪎⋱⫍14BA))","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":5169,"operation_count":4,"complexity_ratio":1292.25,"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":3279,"base":13},"right_expr":{"type":"numeric_atoms","value":3026,"base":13}}}}},"used_operators":["XTarYq4gQB","DlLNRPXxWL","DpFCA1CohY","dWAJyo7jo9"],"dependent_operators":["9HNa5Wba9A","8w2t5hMYqp","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=3279","layer":4},{"info":"number node, value=3026","layer":4},{"info":"compute binary expreesion, left_input=3279, right_input=3026, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = 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 = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⪝⪂⫅(⫛⫱⨽(⋗⩬⋾⪎⋱⫍1653⪢⪎⋱⫍14BA))=NaN","reverse_text":"NaN=⪝⪂⫅(⫛⫱⨽(⋗⩬⋾⪎⋱⫍1653⪢⪎⋱⫍14BA))","cot":[{"info":"⪎⋱⫍1653⪢⪎⋱⫍14BA=NaN","layer":3},{"info":"⋗⩬⋾NaN=NaN","layer":2},{"info":"⫛⫱⨽NaN=NaN","layer":1},{"info":"⪝⪂⫅NaN=NaN","layer":0}]}
{"id":398,"expression_no_base_symbol":"(↔(⋗⩬⋾$5655$))⋓($6699$∀⇚≩$9190$)⇷(⨵≀≌$1157$)⇼⇔∾($3260$⩷∴$5684$⊭↱($1397$/$3434$)⊉≛↸(⨈⫕$1397$∼$1405$))","expression":"(↔(⋗⩬⋾⪎⋱⫍2760))⋓(⪎⋱⫍3084∀⇚≩⪎⋱⫍424C)⇷(⨵≀≌⪎⋱⫍6B0)⇼⇔∾(⪎⋱⫍163A⩷∴⪎⋱⫍2783⊭↱(⪎⋱⫍836/⪎⋱⫍1742)⊉≛↸(⨈⫕⪎⋱⫍836∼⪎⋱⫍841))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":47375,"operation_count":13,"complexity_ratio":3644.230769230769,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":5655,"base":13}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":6699,"base":13},"right_expr":{"type":"numeric_atoms","value":9190,"base":13}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1157,"base":13}}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":3260,"base":13},"right_expr":{"type":"numeric_atoms","value":5684,"base":13}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1397,"base":13},"right_expr":{"type":"numeric_atoms","value":3434,"base":13}}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1397,"base":13},"right_expr":{"type":"numeric_atoms","value":1405,"base":13}}}}},"used_operators":["tifHPKVTfV","T2fj7uvVaJ","ruOEQAzv1W","DpFCA1CohY","mp7IySMOzn","LRNGc0VcxI","srAu1WTS94","DZ8iAZOCBD","COABgblf1C","9FxExcQeMw","XhwjNDsVaA","megm06wKyl","DyGG3AbaNP"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","X99M06cbEe","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5655","layer":4},{"info":"compute unary expreesion, input=5655, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-16965","layer":3},{"info":"compute unary expreesion, input=-16965, 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=6699","layer":4},{"info":"number node, value=9190","layer":4},{"info":"compute binary expreesion, left_input=6699, right_input=9190, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=1157","layer":4},{"info":"compute unary expreesion, input=1157, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-3471","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3471, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-134, 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=3260","layer":4},{"info":"number node, value=5684","layer":4},{"info":"compute binary expreesion, left_input=3260, right_input=5684, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-4880","layer":3},{"info":"number node, value=1397","layer":4},{"info":"number node, value=3434","layer":4},{"info":"compute binary expreesion, left_input=1397, right_input=3434, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute binary expreesion, left_input=-4880, right_input=0, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=9765","layer":2},{"info":"number node, value=1397","layer":4},{"info":"number node, value=1405","layer":4},{"info":"compute binary expreesion, left_input=1397, right_input=1405, 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 = 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=9765, right_input=-21, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=19530","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=19530, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(↔(⋗⩬⋾⪎⋱⫍2760))⋓(⪎⋱⫍3084∀⇚≩⪎⋱⫍424C)⇷(⨵≀≌⪎⋱⫍6B0)⇼⇔∾(⪎⋱⫍163A⩷∴⪎⋱⫍2783⊭↱(⪎⋱⫍836/⪎⋱⫍1742)⊉≛↸(⨈⫕⪎⋱⫍836∼⪎⋱⫍841))=NaN","reverse_text":"NaN=(↔(⋗⩬⋾⪎⋱⫍2760))⋓(⪎⋱⫍3084∀⇚≩⪎⋱⫍424C)⇷(⨵≀≌⪎⋱⫍6B0)⇼⇔∾(⪎⋱⫍163A⩷∴⪎⋱⫍2783⊭↱(⪎⋱⫍836/⪎⋱⫍1742)⊉≛↸(⨈⫕⪎⋱⫍836∼⪎⋱⫍841))","cot":[{"info":"⋗⩬⋾⪎⋱⫍2760=⪎⋱⫍-7950","layer":3},{"info":"↔⪎⋱⫍-7950=⪎⋱⫍-A4","layer":2},{"info":"⪎⋱⫍3084∀⇚≩⪎⋱⫍424C=NaN","layer":3},{"info":"⨵≀≌⪎⋱⫍6B0=⪎⋱⫍-1770","layer":3},{"info":"NaN⇷⪎⋱⫍-1770=NaN","layer":2},{"info":"⪎⋱⫍-A4⋓NaN=NaN","layer":1},{"info":"⪎⋱⫍163A⩷∴⪎⋱⫍2783=⪎⋱⫍-22B5","layer":3},{"info":"⪎⋱⫍836/⪎⋱⫍1742=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍-22B5⊭↱⪎⋱⫍0=⪎⋱⫍45A2","layer":2},{"info":"⪎⋱⫍836∼⪎⋱⫍841=NaN","layer":3},{"info":"⨈⫕NaN=⪎⋱⫍-18","layer":2},{"info":"⪎⋱⫍45A2⊉≛↸⪎⋱⫍-18=⪎⋱⫍8B74","layer":1},{"info":"NaN⇼⇔∾⪎⋱⫍8B74=NaN","layer":0}]}
{"id":399,"expression_no_base_symbol":"(($1473$⇼⇔∾$2425$)⊪)⊴($3737$⨟⋌⩍$4227$⫸⊐$3106$⪢$2108$)≭((($3747$≫≃)⨐⩸⫘($1766$⨵⪆$2504$))⨐⩸⫘($1072$↬$1935$%$1036$⨎$1184$))","expression":"((⪎⋱⫍894⇼⇔∾⪎⋱⫍1147)⊪)⊴(⪎⋱⫍1916⨟⋌⩍⪎⋱⫍1C02⫸⊐⪎⋱⫍154C⪢⪎⋱⫍C62)≭(((⪎⋱⫍1923≫≃)⨐⩸⫘(⪎⋱⫍A5B⨵⪆⪎⋱⫍11A8))⨐⩸⫘(⪎⋱⫍646↬⪎⋱⫍B5B%⪎⋱⫍619⨎⪎⋱⫍701))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":31986,"operation_count":14,"complexity_ratio":2284.714285714286,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1473,"base":13},"right_expr":{"type":"numeric_atoms","value":2425,"base":13}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":3737,"base":13},"right_expr":{"type":"numeric_atoms","value":4227,"base":13}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":3106,"base":13},"right_expr":{"type":"numeric_atoms","value":2108,"base":13}}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":3747,"base":13}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1766,"base":13},"right_expr":{"type":"numeric_atoms","value":2504,"base":13}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1072,"base":13},"right_expr":{"type":"numeric_atoms","value":1935,"base":13}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1036,"base":13},"right_expr":{"type":"numeric_atoms","value":1184,"base":13}}}}},"used_operators":["rxpJgHHUmx","Nsiff2A1zJ","zVYPLywUTj","tifHPKVTfV","mqXw5SEYmG","rGHVDoGpnC","dWAJyo7jo9","fu6greOZ01","X99M06cbEe","2DQ55sFlQl","k8jYdgA6NY","B5M0gjZbta","rJVOvQCfKK"],"dependent_operators":["AHs5Up7iyr","dWAJyo7jo9","14qkJME0vr","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","Tcnh7f0tEr","k8jYdgA6NY","3ViojmjbAp","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","rGHVDoGpnC","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1473","layer":4},{"info":"number node, value=2425","layer":4},{"info":"compute binary expreesion, left_input=1473, right_input=2425, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=952","layer":3},{"info":"compute unary expreesion, input=952, 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=3737","layer":4},{"info":"number node, value=4227","layer":4},{"info":"compute binary expreesion, left_input=3737, right_input=4227, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=3106","layer":4},{"info":"number node, value=2108","layer":4},{"info":"compute binary expreesion, left_input=3106, right_input=2108, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = 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=0, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=3747","layer":4},{"info":"compute unary expreesion, input=3747, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=8895","layer":3},{"info":"number node, value=1766","layer":4},{"info":"number node, value=2504","layer":4},{"info":"compute binary expreesion, left_input=1766, right_input=2504, 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=8895, right_input=160, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=-163","layer":2},{"info":"number node, value=1072","layer":4},{"info":"number node, value=1935","layer":4},{"info":"compute binary expreesion, left_input=1072, right_input=1935, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=1036","layer":4},{"info":"number node, value=1184","layer":4},{"info":"compute binary expreesion, left_input=1036, right_input=1184, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1184","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1184, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-163, 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 = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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":13,"result_base":13,"text":"((⪎⋱⫍894⇼⇔∾⪎⋱⫍1147)⊪)⊴(⪎⋱⫍1916⨟⋌⩍⪎⋱⫍1C02⫸⊐⪎⋱⫍154C⪢⪎⋱⫍C62)≭(((⪎⋱⫍1923≫≃)⨐⩸⫘(⪎⋱⫍A5B⨵⪆⪎⋱⫍11A8))⨐⩸⫘(⪎⋱⫍646↬⪎⋱⫍B5B%⪎⋱⫍619⨎⪎⋱⫍701))=NaN","reverse_text":"NaN=((⪎⋱⫍894⇼⇔∾⪎⋱⫍1147)⊪)⊴(⪎⋱⫍1916⨟⋌⩍⪎⋱⫍1C02⫸⊐⪎⋱⫍154C⪢⪎⋱⫍C62)≭(((⪎⋱⫍1923≫≃)⨐⩸⫘(⪎⋱⫍A5B⨵⪆⪎⋱⫍11A8))⨐⩸⫘(⪎⋱⫍646↬⪎⋱⫍B5B%⪎⋱⫍619⨎⪎⋱⫍701))","cot":[{"info":"⪎⋱⫍894⇼⇔∾⪎⋱⫍1147=⪎⋱⫍583","layer":3},{"info":"⪎⋱⫍583⊪=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍1916⨟⋌⩍⪎⋱⫍1C02=NaN","layer":3},{"info":"⪎⋱⫍154C⪢⪎⋱⫍C62=NaN","layer":3},{"info":"NaN⫸⊐NaN=NaN","layer":2},{"info":"⪎⋱⫍0⊴NaN=NaN","layer":1},{"info":"⪎⋱⫍1923≫≃=⪎⋱⫍4083","layer":3},{"info":"⪎⋱⫍A5B⨵⪆⪎⋱⫍11A8=⪎⋱⫍C4","layer":3},{"info":"⪎⋱⫍4083⨐⩸⫘⪎⋱⫍C4=⪎⋱⫍-C7","layer":2},{"info":"⪎⋱⫍646↬⪎⋱⫍B5B=NaN","layer":3},{"info":"⪎⋱⫍619⨎⪎⋱⫍701=⪎⋱⫍701","layer":3},{"info":"NaN%⪎⋱⫍701=NaN","layer":2},{"info":"⪎⋱⫍-C7⨐⩸⫘NaN=NaN","layer":1},{"info":"NaN≭NaN=NaN","layer":0}]}
{"id":400,"expression_no_base_symbol":"(($4207$↙$1614$)+⇶⊼$1852$↬$2552$%(($2705$∲⫓$1654$)⩠))⊭∹↮","expression":"((⪎⋱⫍1BB8↙⪎⋱⫍972)+⇶⊼⪎⋱⫍AC6↬⪎⋱⫍1214%((⪎⋱⫍1301∲⫓⪎⋱⫍9A3)⩠))⊭∹↮","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1646,"operation_count":7,"complexity_ratio":235.14285714285714,"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":4207,"base":13},"right_expr":{"type":"numeric_atoms","value":1614,"base":13}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1852,"base":13},"right_expr":{"type":"numeric_atoms","value":2552,"base":13}}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2705,"base":13},"right_expr":{"type":"numeric_atoms","value":1654,"base":13}}}}},"used_operators":["xNBdhnnwKq","k8jYdgA6NY","TpPTUOHfaN","yyfyN0ffXY","B5M0gjZbta","sJAwomhLZr","i8ToyICDmI"],"dependent_operators":["2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","AHs5Up7iyr","tmPS8pqC7x","DpFCA1CohY","rGHVDoGpnC","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4207","layer":4},{"info":"number node, value=1614","layer":4},{"info":"compute binary expreesion, left_input=4207, right_input=1614, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-4842","layer":3},{"info":"number node, value=1852","layer":4},{"info":"number node, value=2552","layer":4},{"info":"compute binary expreesion, left_input=1852, right_input=2552, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=-4842, 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=2705","layer":4},{"info":"number node, value=1654","layer":4},{"info":"compute binary expreesion, left_input=2705, right_input=1654, 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 = 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 = k8jYdgA6NY binary_op_definition= 'None', 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":13,"result_base":13,"text":"((⪎⋱⫍1BB8↙⪎⋱⫍972)+⇶⊼⪎⋱⫍AC6↬⪎⋱⫍1214%((⪎⋱⫍1301∲⫓⪎⋱⫍9A3)⩠))⊭∹↮=NaN","reverse_text":"NaN=((⪎⋱⫍1BB8↙⪎⋱⫍972)+⇶⊼⪎⋱⫍AC6↬⪎⋱⫍1214%((⪎⋱⫍1301∲⫓⪎⋱⫍9A3)⩠))⊭∹↮","cot":[{"info":"⪎⋱⫍1BB8↙⪎⋱⫍972=⪎⋱⫍-2286","layer":3},{"info":"⪎⋱⫍AC6↬⪎⋱⫍1214=NaN","layer":3},{"info":"⪎⋱⫍-2286+⇶⊼NaN=NaN","layer":2},{"info":"⪎⋱⫍1301∲⫓⪎⋱⫍9A3=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍0⩠=NaN","layer":2},{"info":"NaN%NaN=NaN","layer":1},{"info":"NaN⊭∹↮=NaN","layer":0}]}
{"id":401,"expression_no_base_symbol":"⋗⩬⋾(-(∥⊫$1098$))⨓($2920$⇷$1029$⊉≛↸($1279$⫌⩹⨱))","expression":"⋗⩬⋾(-(∥⊫⪎⋱⫍666))⨓(⪎⋱⫍1438⇷⪎⋱⫍612⊉≛↸(⪎⋱⫍775⫌⩹⨱))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":45025,"operation_count":7,"complexity_ratio":6432.142857142857,"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":1098,"base":13}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2920,"base":13},"right_expr":{"type":"numeric_atoms","value":1029,"base":13}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":1279,"base":13}}}}},"used_operators":["DpFCA1CohY","3ViojmjbAp","t8gj7n24qd","P8v4zCKN1o","DZ8iAZOCBD","mp7IySMOzn","EBcxylXtPf"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z"],"result":"⪎⋱⫍5817","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1098","layer":4},{"info":"compute unary expreesion, input=1098, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=1966","layer":3},{"info":"compute unary expreesion, input=1966, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1966","layer":2},{"info":"number node, value=2920","layer":4},{"info":"number node, value=1029","layer":4},{"info":"compute binary expreesion, left_input=2920, right_input=1029, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2058","layer":3},{"info":"number node, value=1279","layer":4},{"info":"compute unary expreesion, input=1279, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=3959","layer":3},{"info":"compute binary expreesion, left_input=2058, right_input=3959, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=4116","layer":2},{"info":"compute binary expreesion, left_input=-1966, right_input=4116, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-4119","layer":1},{"info":"compute unary expreesion, input=-4119, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=12357","layer":0}],"base":13,"result_base":13,"text":"⋗⩬⋾(-(∥⊫⪎⋱⫍666))⨓(⪎⋱⫍1438⇷⪎⋱⫍612⊉≛↸(⪎⋱⫍775⫌⩹⨱))=⪎⋱⫍5817","reverse_text":"⪎⋱⫍5817=⋗⩬⋾(-(∥⊫⪎⋱⫍666))⨓(⪎⋱⫍1438⇷⪎⋱⫍612⊉≛↸(⪎⋱⫍775⫌⩹⨱))","cot":[{"info":"∥⊫⪎⋱⫍666=⪎⋱⫍B83","layer":3},{"info":"-⪎⋱⫍B83=⪎⋱⫍-B83","layer":2},{"info":"⪎⋱⫍1438⇷⪎⋱⫍612=⪎⋱⫍C24","layer":3},{"info":"⪎⋱⫍775⫌⩹⨱=⪎⋱⫍1A57","layer":3},{"info":"⪎⋱⫍C24⊉≛↸⪎⋱⫍1A57=⪎⋱⫍1B48","layer":2},{"info":"⪎⋱⫍-B83⨓⪎⋱⫍1B48=⪎⋱⫍-1B4B","layer":1},{"info":"⋗⩬⋾⪎⋱⫍-1B4B=⪎⋱⫍5817","layer":0}]}
{"id":402,"expression_no_base_symbol":"(↥($7366$⇼⇔∾$2213$)↬$3578$⇷$2897$)⫸⊐(($1004$⨸⪁$2989$)⪮%⊝($2380$⋷$1383$)⪐)","expression":"(↥(⪎⋱⫍3478⇼⇔∾⪎⋱⫍1013)↬⪎⋱⫍1823⇷⪎⋱⫍141B)⫸⊐((⪎⋱⫍5C3⨸⪁⪎⋱⫍148C)⪮%⊝(⪎⋱⫍1111⋷⪎⋱⫍825)⪐)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":50123,"operation_count":9,"complexity_ratio":5569.222222222223,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":7366,"base":13},"right_expr":{"type":"numeric_atoms","value":2213,"base":13}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":3578,"base":13},"right_expr":{"type":"numeric_atoms","value":2897,"base":13}}}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1004,"base":13},"right_expr":{"type":"numeric_atoms","value":2989,"base":13}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":2380,"base":13},"right_expr":{"type":"numeric_atoms","value":1383,"base":13}}}}},"used_operators":["mqXw5SEYmG","A8NUZmVepG","B5M0gjZbta","tifHPKVTfV","mp7IySMOzn","eH2TOUuTDT","IWmyXbctLI","g55IO6H4Gj","23Mk6UjR3U"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","k8jYdgA6NY","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=7366","layer":4},{"info":"number node, value=2213","layer":4},{"info":"compute binary expreesion, left_input=7366, right_input=2213, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-5153","layer":3},{"info":"number node, value=3578","layer":4},{"info":"number node, value=2897","layer":4},{"info":"compute binary expreesion, left_input=3578, right_input=2897, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=5794","layer":3},{"info":"compute binary expreesion, left_input=-5153, right_input=5794, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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":"number node, value=1004","layer":4},{"info":"number node, value=2989","layer":4},{"info":"compute binary expreesion, left_input=1004, right_input=2989, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=7986","layer":3},{"info":"number node, value=2380","layer":4},{"info":"number node, value=1383","layer":4},{"info":"compute binary expreesion, left_input=2380, right_input=1383, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=386","layer":3},{"info":"compute binary expreesion, left_input=7986, right_input=386, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=16288","layer":2},{"info":"compute unary expreesion, input=16288, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=32576","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=32576, 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":13,"result_base":13,"text":"(↥(⪎⋱⫍3478⇼⇔∾⪎⋱⫍1013)↬⪎⋱⫍1823⇷⪎⋱⫍141B)⫸⊐((⪎⋱⫍5C3⨸⪁⪎⋱⫍148C)⪮%⊝(⪎⋱⫍1111⋷⪎⋱⫍825)⪐)=NaN","reverse_text":"NaN=(↥(⪎⋱⫍3478⇼⇔∾⪎⋱⫍1013)↬⪎⋱⫍1823⇷⪎⋱⫍141B)⫸⊐((⪎⋱⫍5C3⨸⪁⪎⋱⫍148C)⪮%⊝(⪎⋱⫍1111⋷⪎⋱⫍825)⪐)","cot":[{"info":"⪎⋱⫍3478⇼⇔∾⪎⋱⫍1013=⪎⋱⫍-2465","layer":3},{"info":"⪎⋱⫍1823⇷⪎⋱⫍141B=⪎⋱⫍2839","layer":3},{"info":"⪎⋱⫍-2465↬⪎⋱⫍2839=NaN","layer":2},{"info":"↥NaN=NaN","layer":1},{"info":"⪎⋱⫍5C3⨸⪁⪎⋱⫍148C=⪎⋱⫍3834","layer":3},{"info":"⪎⋱⫍1111⋷⪎⋱⫍825=⪎⋱⫍239","layer":3},{"info":"⪎⋱⫍3834⪮%⊝⪎⋱⫍239=⪎⋱⫍754C","layer":2},{"info":"⪎⋱⫍754C⪐=⪎⋱⫍11A9B","layer":1},{"info":"NaN⫸⊐⪎⋱⫍11A9B=NaN","layer":0}]}
{"id":403,"expression_no_base_symbol":"(($5052$≎⊠⪸$2126$)≦≮≮)≹⇙⪍($1991$+⇶⊼$2974$*$1925$⋥≓≎$1278$)↬(⩦⩻⨪(↔(∂$4230$)))","expression":"((⪎⋱⫍23B8≎⊠⪸⪎⋱⫍C77)≦≮≮)≹⇙⪍(⪎⋱⫍BA2+⇶⊼⪎⋱⫍147A*⪎⋱⫍B51⋥≓≎⪎⋱⫍774)↬(⩦⩻⨪(↔(∂⪎⋱⫍1C05)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":307,"operation_count":10,"complexity_ratio":30.7,"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":5052,"base":13},"right_expr":{"type":"numeric_atoms","value":2126,"base":13}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1991,"base":13},"right_expr":{"type":"numeric_atoms","value":2974,"base":13}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1925,"base":13},"right_expr":{"type":"numeric_atoms","value":1278,"base":13}}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":4230,"base":13}}}}},"used_operators":["B5M0gjZbta","AHs5Up7iyr","D4vGDi5EA2","bJkvcejdHO","9HNa5Wba9A","TpPTUOHfaN","Qy55tPpLXF","2td37pGCOC","ruOEQAzv1W","Uaa54Peajs"],"dependent_operators":["rGHVDoGpnC","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5052","layer":4},{"info":"number node, value=2126","layer":4},{"info":"compute binary expreesion, left_input=5052, right_input=2126, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1307995","layer":3},{"info":"compute unary expreesion, input=1307995, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-3923985","layer":2},{"info":"number node, value=1991","layer":4},{"info":"number node, value=2974","layer":4},{"info":"compute binary expreesion, left_input=1991, right_input=2974, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=1925","layer":4},{"info":"number node, value=1278","layer":4},{"info":"compute binary expreesion, left_input=1925, right_input=1278, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=664","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=664, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-3923985, 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=4230","layer":4},{"info":"compute unary expreesion, input=4230, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":2},{"info":"compute unary expreesion, input=-134, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=-134","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-134, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍23B8≎⊠⪸⪎⋱⫍C77)≦≮≮)≹⇙⪍(⪎⋱⫍BA2+⇶⊼⪎⋱⫍147A*⪎⋱⫍B51⋥≓≎⪎⋱⫍774)↬(⩦⩻⨪(↔(∂⪎⋱⫍1C05)))=NaN","reverse_text":"NaN=((⪎⋱⫍23B8≎⊠⪸⪎⋱⫍C77)≦≮≮)≹⇙⪍(⪎⋱⫍BA2+⇶⊼⪎⋱⫍147A*⪎⋱⫍B51⋥≓≎⪎⋱⫍774)↬(⩦⩻⨪(↔(∂⪎⋱⫍1C05)))","cot":[{"info":"⪎⋱⫍23B8≎⊠⪸⪎⋱⫍C77=⪎⋱⫍36A480","layer":3},{"info":"⪎⋱⫍36A480≦≮≮=⪎⋱⫍-A750B0","layer":2},{"info":"⪎⋱⫍BA2+⇶⊼⪎⋱⫍147A=NaN","layer":3},{"info":"⪎⋱⫍B51⋥≓≎⪎⋱⫍774=⪎⋱⫍3C1","layer":3},{"info":"NaN*⪎⋱⫍3C1=NaN","layer":2},{"info":"⪎⋱⫍-A750B0≹⇙⪍NaN=NaN","layer":1},{"info":"∂⪎⋱⫍1C05=NaN","layer":3},{"info":"↔NaN=⪎⋱⫍-A4","layer":2},{"info":"⩦⩻⨪⪎⋱⫍-A4=⪎⋱⫍-A4","layer":1},{"info":"NaN↬⪎⋱⫍-A4=NaN","layer":0}]}
{"id":404,"expression_no_base_symbol":"((($2115$⨽$1688$)⫩⊇)⪘⫢(⨞⊢($2114$⊉≛↸$2077$)))≹⇙⪍(↩$5881$⇷$3385$∑⇟⊟($3297$⪒$3708$))","expression":"(((⪎⋱⫍C69⨽⪎⋱⫍9CB)⫩⊇)⪘⫢(⨞⊢(⪎⋱⫍C68⊉≛↸⪎⋱⫍C3A)))≹⇙⪍(↩⪎⋱⫍28A5⇷⪎⋱⫍1705∑⇟⊟(⪎⋱⫍1668⪒⪎⋱⫍18C3))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":84503,"operation_count":10,"complexity_ratio":8450.3,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2115,"base":13},"right_expr":{"type":"numeric_atoms","value":1688,"base":13}}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2114,"base":13},"right_expr":{"type":"numeric_atoms","value":2077,"base":13}}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":5881,"base":13},"right_expr":{"type":"numeric_atoms","value":3385,"base":13}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":3297,"base":13},"right_expr":{"type":"numeric_atoms","value":3708,"base":13}}}}},"used_operators":["AHs5Up7iyr","oacrs7FA3X","BjRHVeLaeN","8HhzD0ZcuI","xUOZtlo3hN","DZ8iAZOCBD","jLgFTUHLKL","U7g4x0WXJJ","mp7IySMOzn","f6k1SAg4EE"],"dependent_operators":["dWAJyo7jo9","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2115","layer":4},{"info":"number node, value=1688","layer":4},{"info":"compute binary expreesion, left_input=2115, right_input=1688, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-13423425","layer":3},{"info":"compute unary expreesion, input=-13423425, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=13423467","layer":2},{"info":"number node, value=2114","layer":4},{"info":"number node, value=2077","layer":4},{"info":"compute binary expreesion, left_input=2114, right_input=2077, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=4228","layer":3},{"info":"compute unary expreesion, input=4228, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-4402","layer":2},{"info":"compute binary expreesion, left_input=13423467, right_input=-4402, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=0","layer":1},{"info":"number node, value=5881","layer":4},{"info":"number node, value=3385","layer":4},{"info":"compute binary expreesion, left_input=5881, right_input=3385, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=6770","layer":3},{"info":"number node, value=3297","layer":4},{"info":"number node, value=3708","layer":4},{"info":"compute binary expreesion, left_input=3297, right_input=3708, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-7005","layer":3},{"info":"compute binary expreesion, left_input=6770, right_input=-7005, 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 = 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=0, right_input=nan, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":13,"result_base":13,"text":"(((⪎⋱⫍C69⨽⪎⋱⫍9CB)⫩⊇)⪘⫢(⨞⊢(⪎⋱⫍C68⊉≛↸⪎⋱⫍C3A)))≹⇙⪍(↩⪎⋱⫍28A5⇷⪎⋱⫍1705∑⇟⊟(⪎⋱⫍1668⪒⪎⋱⫍18C3))=NaN","reverse_text":"NaN=(((⪎⋱⫍C69⨽⪎⋱⫍9CB)⫩⊇)⪘⫢(⨞⊢(⪎⋱⫍C68⊉≛↸⪎⋱⫍C3A)))≹⇙⪍(↩⪎⋱⫍28A5⇷⪎⋱⫍1705∑⇟⊟(⪎⋱⫍1668⪒⪎⋱⫍18C3))","cot":[{"info":"⪎⋱⫍C69⨽⪎⋱⫍9CB=⪎⋱⫍-2A1CB72","layer":3},{"info":"⪎⋱⫍-2A1CB72⫩⊇=⪎⋱⫍2A1CBA5","layer":2},{"info":"⪎⋱⫍C68⊉≛↸⪎⋱⫍C3A=⪎⋱⫍1C03","layer":3},{"info":"⨞⊢⪎⋱⫍1C03=⪎⋱⫍-2008","layer":2},{"info":"⪎⋱⫍2A1CBA5⪘⫢⪎⋱⫍-2008=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍28A5⇷⪎⋱⫍1705=⪎⋱⫍310A","layer":3},{"info":"⪎⋱⫍1668⪒⪎⋱⫍18C3=⪎⋱⫍-325B","layer":3},{"info":"⪎⋱⫍310A∑⇟⊟⪎⋱⫍-325B=NaN","layer":2},{"info":"↩NaN=NaN","layer":1},{"info":"⪎⋱⫍0≹⇙⪍NaN=NaN","layer":0}]}
{"id":405,"expression_no_base_symbol":"(($3497$⨪↰⇹$2128$↺$2325$≭$2011$)⪠⩆⊳)⋝⋈⪟((($3275$⊉≛↸$2228$)↺($1100$⪄$2071$))≭(↔($5545$∧)))","expression":"((⪎⋱⫍1790⨪↰⇹⪎⋱⫍C79↺⪎⋱⫍109B≭⪎⋱⫍BB9)⪠⩆⊳)⋝⋈⪟(((⪎⋱⫍164C⊉≛↸⪎⋱⫍1025)↺(⪎⋱⫍668⪄⪎⋱⫍C34))≭(↔(⪎⋱⫍26A7∧)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3637,"operation_count":11,"complexity_ratio":330.6363636363636,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":3497,"base":13},"right_expr":{"type":"numeric_atoms","value":2128,"base":13}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2325,"base":13},"right_expr":{"type":"numeric_atoms","value":2011,"base":13}}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":3275,"base":13},"right_expr":{"type":"numeric_atoms","value":2228,"base":13}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1100,"base":13},"right_expr":{"type":"numeric_atoms","value":2071,"base":13}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":5545,"base":13}}}}},"used_operators":["2DDjHMKMc0","JLbD19bQDL","7j4O788W3g","tmPS8pqC7x","rxpJgHHUmx","DZ8iAZOCBD","SUmda5xLS4","ruOEQAzv1W","z63VuFQld9"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3497","layer":4},{"info":"number node, value=2128","layer":4},{"info":"compute binary expreesion, left_input=3497, 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=3497","layer":3},{"info":"number node, value=2325","layer":4},{"info":"number node, value=2011","layer":4},{"info":"compute binary expreesion, left_input=2325, 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=3497, 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 = 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=3275","layer":4},{"info":"number node, value=2228","layer":4},{"info":"compute binary expreesion, left_input=3275, right_input=2228, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=6550","layer":3},{"info":"number node, value=1100","layer":4},{"info":"number node, value=2071","layer":4},{"info":"compute binary expreesion, left_input=1100, right_input=2071, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-167173","layer":3},{"info":"compute binary expreesion, left_input=6550, right_input=-167173, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-167173","layer":2},{"info":"number node, value=5545","layer":4},{"info":"compute unary expreesion, input=5545, 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 = 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=-167173, right_input=-134, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍1790⨪↰⇹⪎⋱⫍C79↺⪎⋱⫍109B≭⪎⋱⫍BB9)⪠⩆⊳)⋝⋈⪟(((⪎⋱⫍164C⊉≛↸⪎⋱⫍1025)↺(⪎⋱⫍668⪄⪎⋱⫍C34))≭(↔(⪎⋱⫍26A7∧)))=NaN","reverse_text":"NaN=((⪎⋱⫍1790⨪↰⇹⪎⋱⫍C79↺⪎⋱⫍109B≭⪎⋱⫍BB9)⪠⩆⊳)⋝⋈⪟(((⪎⋱⫍164C⊉≛↸⪎⋱⫍1025)↺(⪎⋱⫍668⪄⪎⋱⫍C34))≭(↔(⪎⋱⫍26A7∧)))","cot":[{"info":"⪎⋱⫍1790⨪↰⇹⪎⋱⫍C79=⪎⋱⫍1790","layer":3},{"info":"⪎⋱⫍109B≭⪎⋱⫍BB9=NaN","layer":3},{"info":"⪎⋱⫍1790↺NaN=NaN","layer":2},{"info":"NaN⪠⩆⊳=NaN","layer":1},{"info":"⪎⋱⫍164C⊉≛↸⪎⋱⫍1025=⪎⋱⫍2C9B","layer":3},{"info":"⪎⋱⫍668⪄⪎⋱⫍C34=⪎⋱⫍-5B126","layer":3},{"info":"⪎⋱⫍2C9B↺⪎⋱⫍-5B126=⪎⋱⫍-5B126","layer":2},{"info":"⪎⋱⫍26A7∧=NaN","layer":3},{"info":"↔NaN=⪎⋱⫍-A4","layer":2},{"info":"⪎⋱⫍-5B126≭⪎⋱⫍-A4=NaN","layer":1},{"info":"NaN⋝⋈⪟NaN=NaN","layer":0}]}
{"id":406,"expression_no_base_symbol":"($4779$⇷$5146$⋷$3382$⨽$2519$)⊴(∂$2825$)⊴($1869$≋⫹)⋓(⪝⪂⫅(↥($1448$↺$8804$)))","expression":"(⪎⋱⫍2238⇷⪎⋱⫍245B⋷⪎⋱⫍1702⨽⪎⋱⫍11BA)⊴(∂⪎⋱⫍1394)⊴(⪎⋱⫍B0A≋⫹)⋓(⪝⪂⫅(↥(⪎⋱⫍875↺⪎⋱⫍4013)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":74283,"operation_count":11,"complexity_ratio":6753.0,"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":4779,"base":13},"right_expr":{"type":"numeric_atoms","value":5146,"base":13}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":3382,"base":13},"right_expr":{"type":"numeric_atoms","value":2519,"base":13}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":2825,"base":13}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":1869,"base":13}}}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1448,"base":13},"right_expr":{"type":"numeric_atoms","value":8804,"base":13}}}}},"used_operators":["T2fj7uvVaJ","Nsiff2A1zJ","23Mk6UjR3U","mp7IySMOzn","8HhzD0ZcuI","Uaa54Peajs","N41Kp7NANJ","XTarYq4gQB","A8NUZmVepG","7j4O788W3g"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4779","layer":4},{"info":"number node, value=5146","layer":4},{"info":"compute binary expreesion, left_input=4779, right_input=5146, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=10292","layer":3},{"info":"number node, value=3382","layer":4},{"info":"number node, value=2519","layer":4},{"info":"compute binary expreesion, left_input=3382, right_input=2519, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-34320015","layer":3},{"info":"compute binary expreesion, left_input=10292, right_input=-34320015, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-68650322","layer":2},{"info":"number node, value=2825","layer":4},{"info":"compute unary expreesion, input=2825, 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=1869","layer":4},{"info":"compute unary expreesion, input=1869, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-3738","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3738, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-68650322, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=1448","layer":4},{"info":"number node, value=8804","layer":4},{"info":"compute binary expreesion, left_input=1448, 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":3},{"info":"compute unary expreesion, input=8804, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=32","layer":2},{"info":"compute unary expreesion, input=32, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-4704","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-4704, op_id = T2fj7uvVaJ binary_op_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":13,"result_base":13,"text":"(⪎⋱⫍2238⇷⪎⋱⫍245B⋷⪎⋱⫍1702⨽⪎⋱⫍11BA)⊴(∂⪎⋱⫍1394)⊴(⪎⋱⫍B0A≋⫹)⋓(⪝⪂⫅(↥(⪎⋱⫍875↺⪎⋱⫍4013)))=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=(⪎⋱⫍2238⇷⪎⋱⫍245B⋷⪎⋱⫍1702⨽⪎⋱⫍11BA)⊴(∂⪎⋱⫍1394)⊴(⪎⋱⫍B0A≋⫹)⋓(⪝⪂⫅(↥(⪎⋱⫍875↺⪎⋱⫍4013)))","cot":[{"info":"⪎⋱⫍2238⇷⪎⋱⫍245B=⪎⋱⫍48B9","layer":3},{"info":"⪎⋱⫍1702⨽⪎⋱⫍11BA=⪎⋱⫍-7158402","layer":3},{"info":"⪎⋱⫍48B9⋷⪎⋱⫍-7158402=⪎⋱⫍-112B83C0","layer":2},{"info":"∂⪎⋱⫍1394=NaN","layer":3},{"info":"⪎⋱⫍B0A≋⫹=⪎⋱⫍-1917","layer":3},{"info":"NaN⊴⪎⋱⫍-1917=NaN","layer":2},{"info":"⪎⋱⫍-112B83C0⊴NaN=NaN","layer":1},{"info":"⪎⋱⫍875↺⪎⋱⫍4013=⪎⋱⫍4013","layer":3},{"info":"↥⪎⋱⫍4013=⪎⋱⫍26","layer":2},{"info":"⪝⪂⫅⪎⋱⫍26=⪎⋱⫍-21AB","layer":1},{"info":"NaN⋓⪎⋱⫍-21AB=⪎⋱⫍0","layer":0}]}
{"id":407,"expression_no_base_symbol":"(≉$5689$)∼($5075$∀⇚≩$3301$)≭($6662$≭$1188$⨁⊸⫻)⩨(($1564$%$1064$)≭$2271$⪢$3237$)⪮%⊝($1927$⨽$6397$⪄($3177$%$5496$))","expression":"(≉⪎⋱⫍2788)∼(⪎⋱⫍2405∀⇚≩⪎⋱⫍166C)≭(⪎⋱⫍3056≭⪎⋱⫍705⨁⊸⫻)⩨((⪎⋱⫍934%⪎⋱⫍63B)≭⪎⋱⫍1059⪢⪎⋱⫍1620)⪮%⊝(⪎⋱⫍B53⨽⪎⋱⫍2BB1⪄(⪎⋱⫍15A5%⪎⋱⫍266A))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":40935,"operation_count":14,"complexity_ratio":2923.9285714285716,"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":5689,"base":13}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":5075,"base":13},"right_expr":{"type":"numeric_atoms","value":3301,"base":13}}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":6662,"base":13},"right_expr":{"type":"numeric_atoms","value":1188,"base":13}}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1564,"base":13},"right_expr":{"type":"numeric_atoms","value":1064,"base":13}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2271,"base":13},"right_expr":{"type":"numeric_atoms","value":3237,"base":13}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1927,"base":13},"right_expr":{"type":"numeric_atoms","value":6397,"base":13}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":3177,"base":13},"right_expr":{"type":"numeric_atoms","value":5496,"base":13}}}}},"used_operators":["2DlMacCsIx","rxpJgHHUmx","DyGG3AbaNP","e1ybzncUwg","LRNGc0VcxI","glklzrTFfD","IWmyXbctLI","k8jYdgA6NY","dWAJyo7jo9","SUmda5xLS4","8HhzD0ZcuI"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","AHs5Up7iyr","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","W4YGzv6Whe","rysDP5nf3Z","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","k8jYdgA6NY","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5689","layer":4},{"info":"compute unary expreesion, input=5689, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=6220","layer":3},{"info":"number node, value=5075","layer":4},{"info":"number node, value=3301","layer":4},{"info":"compute binary expreesion, left_input=5075, right_input=3301, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=6220, 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=6662","layer":4},{"info":"number node, value=1188","layer":4},{"info":"compute binary expreesion, left_input=6662, right_input=1188, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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 = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; 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":"number node, value=1564","layer":4},{"info":"number node, value=1064","layer":4},{"info":"compute binary expreesion, left_input=1564, right_input=1064, op_id = k8jYdgA6NY binary_op_definition= 'None', output=500","layer":3},{"info":"number node, value=2271","layer":4},{"info":"number node, value=3237","layer":4},{"info":"compute binary expreesion, left_input=2271, right_input=3237, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=500, 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=1927","layer":4},{"info":"number node, value=6397","layer":4},{"info":"compute binary expreesion, left_input=1927, right_input=6397, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-11157864","layer":3},{"info":"number node, value=3177","layer":4},{"info":"number node, value=5496","layer":4},{"info":"compute binary expreesion, left_input=3177, right_input=5496, op_id = k8jYdgA6NY binary_op_definition= 'None', output=3177","layer":3},{"info":"compute binary expreesion, left_input=-11157864, right_input=3177, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=3979, op_id = 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 = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(≉⪎⋱⫍2788)∼(⪎⋱⫍2405∀⇚≩⪎⋱⫍166C)≭(⪎⋱⫍3056≭⪎⋱⫍705⨁⊸⫻)⩨((⪎⋱⫍934%⪎⋱⫍63B)≭⪎⋱⫍1059⪢⪎⋱⫍1620)⪮%⊝(⪎⋱⫍B53⨽⪎⋱⫍2BB1⪄(⪎⋱⫍15A5%⪎⋱⫍266A))=NaN","reverse_text":"NaN=(≉⪎⋱⫍2788)∼(⪎⋱⫍2405∀⇚≩⪎⋱⫍166C)≭(⪎⋱⫍3056≭⪎⋱⫍705⨁⊸⫻)⩨((⪎⋱⫍934%⪎⋱⫍63B)≭⪎⋱⫍1059⪢⪎⋱⫍1620)⪮%⊝(⪎⋱⫍B53⨽⪎⋱⫍2BB1⪄(⪎⋱⫍15A5%⪎⋱⫍266A))","cot":[{"info":"≉⪎⋱⫍2788=⪎⋱⫍2AA6","layer":3},{"info":"⪎⋱⫍2405∀⇚≩⪎⋱⫍166C=NaN","layer":3},{"info":"⪎⋱⫍2AA6∼NaN=NaN","layer":2},{"info":"⪎⋱⫍3056≭⪎⋱⫍705=NaN","layer":3},{"info":"NaN⨁⊸⫻=NaN","layer":2},{"info":"NaN≭NaN=NaN","layer":1},{"info":"⪎⋱⫍934%⪎⋱⫍63B=⪎⋱⫍2C6","layer":3},{"info":"⪎⋱⫍1059⪢⪎⋱⫍1620=NaN","layer":3},{"info":"⪎⋱⫍2C6≭NaN=NaN","layer":2},{"info":"⪎⋱⫍B53⨽⪎⋱⫍2BB1=⪎⋱⫍-24088B3","layer":3},{"info":"⪎⋱⫍15A5%⪎⋱⫍266A=⪎⋱⫍15A5","layer":3},{"info":"⪎⋱⫍-24088B3⪄⪎⋱⫍15A5=⪎⋱⫍1A71","layer":2},{"info":"NaN⪮%⊝⪎⋱⫍1A71=NaN","layer":1},{"info":"NaN⩨NaN=NaN","layer":0}]}
{"id":408,"expression_no_base_symbol":"⫛⫱⨽(↥$1827$⪮%⊝$2451$⪘⫢($1270$⨎$4690$))","expression":"⫛⫱⨽(↥⪎⋱⫍AA7⪮%⊝⪎⋱⫍1167⪘⫢(⪎⋱⫍769⨎⪎⋱⫍219A))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1102,"operation_count":5,"complexity_ratio":220.4,"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":1827,"base":13},"right_expr":{"type":"numeric_atoms","value":2451,"base":13}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1270,"base":13},"right_expr":{"type":"numeric_atoms","value":4690,"base":13}}}}},"used_operators":["DlLNRPXxWL","A8NUZmVepG","oacrs7FA3X","IWmyXbctLI","rJVOvQCfKK"],"dependent_operators":["rGHVDoGpnC","k8jYdgA6NY","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1827","layer":4},{"info":"number node, value=2451","layer":4},{"info":"compute binary expreesion, left_input=1827, right_input=2451, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3970","layer":3},{"info":"number node, value=1270","layer":4},{"info":"number node, value=4690","layer":4},{"info":"compute binary expreesion, left_input=1270, right_input=4690, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=4690","layer":3},{"info":"compute binary expreesion, left_input=3970, right_input=4690, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=7816","layer":2},{"info":"compute unary expreesion, input=7816, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=13","layer":1},{"info":"compute unary expreesion, input=13, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":0}],"base":13,"result_base":13,"text":"⫛⫱⨽(↥⪎⋱⫍AA7⪮%⊝⪎⋱⫍1167⪘⫢(⪎⋱⫍769⨎⪎⋱⫍219A))=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=⫛⫱⨽(↥⪎⋱⫍AA7⪮%⊝⪎⋱⫍1167⪘⫢(⪎⋱⫍769⨎⪎⋱⫍219A))","cot":[{"info":"⪎⋱⫍AA7⪮%⊝⪎⋱⫍1167=⪎⋱⫍1A65","layer":3},{"info":"⪎⋱⫍769⨎⪎⋱⫍219A=⪎⋱⫍219A","layer":3},{"info":"⪎⋱⫍1A65⪘⫢⪎⋱⫍219A=⪎⋱⫍3733","layer":2},{"info":"↥⪎⋱⫍3733=⪎⋱⫍10","layer":1},{"info":"⫛⫱⨽⪎⋱⫍10=⪎⋱⫍0","layer":0}]}
{"id":409,"expression_no_base_symbol":"((+⊝⨔$2620$)⋥≓≎$4540$⨎$2602$)⊴(($2024$+$4895$)⋥≓≎(⊄⩳↩$6386$))⨰(∥⊫(-$3355$⋳⪒$1309$))","expression":"((+⊝⨔⪎⋱⫍1267)⋥≓≎⪎⋱⫍20B3⨎⪎⋱⫍1252)⊴((⪎⋱⫍BC9+⪎⋱⫍22C7)⋥≓≎(⊄⩳↩⪎⋱⫍2BA3))⨰(∥⊫(-⪎⋱⫍16B1⋳⪒⪎⋱⫍799))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":45278,"operation_count":11,"complexity_ratio":4116.181818181818,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":2620,"base":13}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":4540,"base":13},"right_expr":{"type":"numeric_atoms","value":2602,"base":13}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2024,"base":13},"right_expr":{"type":"numeric_atoms","value":4895,"base":13}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":6386,"base":13}}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":3355,"base":13},"right_expr":{"type":"numeric_atoms","value":1309,"base":13}}}}},"used_operators":["eewbuw0ToL","Nsiff2A1zJ","Qy55tPpLXF","DhbWaqg5eL","rJVOvQCfKK","W4YGzv6Whe","8w2t5hMYqp","P8v4zCKN1o","t8gj7n24qd","12rbrZMWeM"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2620","layer":4},{"info":"compute unary expreesion, input=2620, 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=4540","layer":4},{"info":"number node, value=2602","layer":4},{"info":"compute binary expreesion, left_input=4540, right_input=2602, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2602","layer":3},{"info":"compute binary expreesion, left_input=1522, right_input=2602, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=3715","layer":2},{"info":"number node, value=2024","layer":4},{"info":"number node, value=4895","layer":4},{"info":"compute binary expreesion, left_input=2024, right_input=4895, op_id = W4YGzv6Whe binary_op_definition= 'None', output=6919","layer":3},{"info":"number node, value=6386","layer":4},{"info":"compute unary expreesion, input=6386, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-19158","layer":3},{"info":"compute binary expreesion, left_input=6919, right_input=-19158, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-45202","layer":2},{"info":"compute binary expreesion, left_input=3715, right_input=-45202, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=3355","layer":4},{"info":"number node, value=1309","layer":4},{"info":"compute binary expreesion, left_input=3355, right_input=1309, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=5114","layer":3},{"info":"compute unary expreesion, input=5114, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-5114","layer":2},{"info":"compute unary expreesion, input=-5114, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=-55","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-55, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((+⊝⨔⪎⋱⫍1267)⋥≓≎⪎⋱⫍20B3⨎⪎⋱⫍1252)⊴((⪎⋱⫍BC9+⪎⋱⫍22C7)⋥≓≎(⊄⩳↩⪎⋱⫍2BA3))⨰(∥⊫(-⪎⋱⫍16B1⋳⪒⪎⋱⫍799))=NaN","reverse_text":"NaN=((+⊝⨔⪎⋱⫍1267)⋥≓≎⪎⋱⫍20B3⨎⪎⋱⫍1252)⊴((⪎⋱⫍BC9+⪎⋱⫍22C7)⋥≓≎(⊄⩳↩⪎⋱⫍2BA3))⨰(∥⊫(-⪎⋱⫍16B1⋳⪒⪎⋱⫍799))","cot":[{"info":"+⊝⨔⪎⋱⫍1267=⪎⋱⫍901","layer":3},{"info":"⪎⋱⫍20B3⨎⪎⋱⫍1252=⪎⋱⫍1252","layer":3},{"info":"⪎⋱⫍901⋥≓≎⪎⋱⫍1252=⪎⋱⫍18CA","layer":2},{"info":"⪎⋱⫍BC9+⪎⋱⫍22C7=⪎⋱⫍31C3","layer":3},{"info":"⊄⩳↩⪎⋱⫍2BA3=⪎⋱⫍-8949","layer":3},{"info":"⪎⋱⫍31C3⋥≓≎⪎⋱⫍-8949=⪎⋱⫍-17761","layer":2},{"info":"⪎⋱⫍18CA⊴⪎⋱⫍-17761=NaN","layer":1},{"info":"⪎⋱⫍16B1⋳⪒⪎⋱⫍799=⪎⋱⫍2435","layer":3},{"info":"-⪎⋱⫍2435=⪎⋱⫍-2435","layer":2},{"info":"∥⊫⪎⋱⫍-2435=⪎⋱⫍-43","layer":1},{"info":"NaN⨰⪎⋱⫍-43=NaN","layer":0}]}
{"id":410,"expression_no_base_symbol":"(($3541$*$4532$≋⫹)%(($1305$⋥≓≎$1012$)⨁⊸⫻))⊪","expression":"((⪎⋱⫍17C5*⪎⋱⫍20A8≋⫹)%((⪎⋱⫍795⋥≓≎⪎⋱⫍5CB)⨁⊸⫻))⊪","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":46262,"operation_count":6,"complexity_ratio":7710.333333333333,"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":3541,"base":13},"right_expr":{"type":"numeric_atoms","value":4532,"base":13}}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1305,"base":13},"right_expr":{"type":"numeric_atoms","value":1012,"base":13}}}}},"used_operators":["zVYPLywUTj","k8jYdgA6NY","N41Kp7NANJ","9HNa5Wba9A","glklzrTFfD","Qy55tPpLXF"],"dependent_operators":["sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3541","layer":4},{"info":"number node, value=4532","layer":4},{"info":"compute binary expreesion, left_input=3541, right_input=4532, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=16047812","layer":3},{"info":"compute unary expreesion, input=16047812, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-32095624","layer":2},{"info":"number node, value=1305","layer":4},{"info":"number node, value=1012","layer":4},{"info":"compute binary expreesion, left_input=1305, right_input=1012, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=752","layer":3},{"info":"compute unary expreesion, input=752, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=752","layer":2},{"info":"compute binary expreesion, left_input=-32095624, right_input=752, op_id = k8jYdgA6NY binary_op_definition= 'None', output=488","layer":1},{"info":"compute unary expreesion, input=488, 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":13,"result_base":13,"text":"((⪎⋱⫍17C5*⪎⋱⫍20A8≋⫹)%((⪎⋱⫍795⋥≓≎⪎⋱⫍5CB)⨁⊸⫻))⊪=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=((⪎⋱⫍17C5*⪎⋱⫍20A8≋⫹)%((⪎⋱⫍795⋥≓≎⪎⋱⫍5CB)⨁⊸⫻))⊪","cot":[{"info":"⪎⋱⫍17C5*⪎⋱⫍20A8=⪎⋱⫍342B561","layer":3},{"info":"⪎⋱⫍342B561≋⫹=⪎⋱⫍-6859AC2","layer":2},{"info":"⪎⋱⫍795⋥≓≎⪎⋱⫍5CB=⪎⋱⫍45B","layer":3},{"info":"⪎⋱⫍45B⨁⊸⫻=⪎⋱⫍45B","layer":2},{"info":"⪎⋱⫍-6859AC2%⪎⋱⫍45B=⪎⋱⫍2B7","layer":1},{"info":"⪎⋱⫍2B7⊪=⪎⋱⫍0","layer":0}]}
{"id":411,"expression_no_base_symbol":"(($2437$⨓$2458$↺($4853$⪒$5142$))≦≮≮)∑⇟⊟(($1628$⨸⪁$3254$-$5978$⨳⩥⨓$3125$)⨎($4207$⨎$2529$)≎⊠⪸(+⊝⨔$5348$))","expression":"((⪎⋱⫍1156⨓⪎⋱⫍1171↺(⪎⋱⫍2294⪒⪎⋱⫍2457))≦≮≮)∑⇟⊟((⪎⋱⫍983⨸⪁⪎⋱⫍1634-⪎⋱⫍294B⨳⩥⨓⪎⋱⫍1565)⨎(⪎⋱⫍1BB8⨎⪎⋱⫍11C7)≎⊠⪸(+⊝⨔⪎⋱⫍2585))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2792,"operation_count":12,"complexity_ratio":232.66666666666666,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2437,"base":13},"right_expr":{"type":"numeric_atoms","value":2458,"base":13}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":4853,"base":13},"right_expr":{"type":"numeric_atoms","value":5142,"base":13}}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1628,"base":13},"right_expr":{"type":"numeric_atoms","value":3254,"base":13}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":5978,"base":13},"right_expr":{"type":"numeric_atoms","value":3125,"base":13}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":4207,"base":13},"right_expr":{"type":"numeric_atoms","value":2529,"base":13}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":5348,"base":13}}}}},"used_operators":["U7g4x0WXJJ","D4vGDi5EA2","7j4O788W3g","3ViojmjbAp","f6k1SAg4EE","rJVOvQCfKK","rysDP5nf3Z","g55IO6H4Gj","nCS4ZIUYfx","bJkvcejdHO","DhbWaqg5eL"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2437","layer":4},{"info":"number node, value=2458","layer":4},{"info":"compute binary expreesion, left_input=2437, right_input=2458, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2461","layer":3},{"info":"number node, value=4853","layer":4},{"info":"number node, value=5142","layer":4},{"info":"compute binary expreesion, left_input=4853, right_input=5142, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-9995","layer":3},{"info":"compute binary expreesion, left_input=-2461, right_input=-9995, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-9995","layer":2},{"info":"compute unary expreesion, input=-9995, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=29985","layer":1},{"info":"number node, value=1628","layer":4},{"info":"number node, value=3254","layer":4},{"info":"compute binary expreesion, left_input=1628, right_input=3254, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=9764","layer":3},{"info":"number node, value=5978","layer":4},{"info":"number node, value=3125","layer":4},{"info":"compute binary expreesion, left_input=5978, right_input=3125, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-2853","layer":3},{"info":"compute binary expreesion, left_input=9764, right_input=-2853, op_id = rysDP5nf3Z binary_op_definition= 'None', output=12617","layer":2},{"info":"number node, value=4207","layer":4},{"info":"number node, value=2529","layer":4},{"info":"compute binary expreesion, left_input=4207, right_input=2529, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2529","layer":3},{"info":"number node, value=5348","layer":4},{"info":"compute unary expreesion, input=5348, 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=2529, right_input=1522, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=654538","layer":2},{"info":"compute binary expreesion, left_input=12617, right_input=654538, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=654538","layer":1},{"info":"compute binary expreesion, left_input=29985, right_input=654538, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍1156⨓⪎⋱⫍1171↺(⪎⋱⫍2294⪒⪎⋱⫍2457))≦≮≮)∑⇟⊟((⪎⋱⫍983⨸⪁⪎⋱⫍1634-⪎⋱⫍294B⨳⩥⨓⪎⋱⫍1565)⨎(⪎⋱⫍1BB8⨎⪎⋱⫍11C7)≎⊠⪸(+⊝⨔⪎⋱⫍2585))=NaN","reverse_text":"NaN=((⪎⋱⫍1156⨓⪎⋱⫍1171↺(⪎⋱⫍2294⪒⪎⋱⫍2457))≦≮≮)∑⇟⊟((⪎⋱⫍983⨸⪁⪎⋱⫍1634-⪎⋱⫍294B⨳⩥⨓⪎⋱⫍1565)⨎(⪎⋱⫍1BB8⨎⪎⋱⫍11C7)≎⊠⪸(+⊝⨔⪎⋱⫍2585))","cot":[{"info":"⪎⋱⫍1156⨓⪎⋱⫍1171=⪎⋱⫍-1174","layer":3},{"info":"⪎⋱⫍2294⪒⪎⋱⫍2457=⪎⋱⫍-471B","layer":3},{"info":"⪎⋱⫍-1174↺⪎⋱⫍-471B=⪎⋱⫍-471B","layer":2},{"info":"⪎⋱⫍-471B≦≮≮=⪎⋱⫍10857","layer":1},{"info":"⪎⋱⫍983⨸⪁⪎⋱⫍1634=⪎⋱⫍45A1","layer":3},{"info":"⪎⋱⫍294B⨳⩥⨓⪎⋱⫍1565=⪎⋱⫍-13B6","layer":3},{"info":"⪎⋱⫍45A1-⪎⋱⫍-13B6=⪎⋱⫍5987","layer":2},{"info":"⪎⋱⫍1BB8⨎⪎⋱⫍11C7=⪎⋱⫍11C7","layer":3},{"info":"+⊝⨔⪎⋱⫍2585=⪎⋱⫍901","layer":3},{"info":"⪎⋱⫍11C7≎⊠⪸⪎⋱⫍901=⪎⋱⫍19BC01","layer":2},{"info":"⪎⋱⫍5987⨎⪎⋱⫍19BC01=⪎⋱⫍19BC01","layer":1},{"info":"⪎⋱⫍10857∑⇟⊟⪎⋱⫍19BC01=NaN","layer":0}]}
{"id":412,"expression_no_base_symbol":"(($3554$⊉≛↸$5395$)⨎$1895$+⇶⊼$5045$)⩷∴($2713$≭$1487$⨁⊸⫻)⊭↱(⊥($6073$⨓$3030$⨽($1987$≣⋋)))","expression":"((⪎⋱⫍1805⊉≛↸⪎⋱⫍25C0)⨎⪎⋱⫍B2A+⇶⊼⪎⋱⫍23B1)⩷∴(⪎⋱⫍1309≭⪎⋱⫍8A5⨁⊸⫻)⊭↱(⊥(⪎⋱⫍29C2⨓⪎⋱⫍14C1⨽(⪎⋱⫍B9B≣⋋)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":6611,"operation_count":11,"complexity_ratio":601.0,"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":3554,"base":13},"right_expr":{"type":"numeric_atoms","value":5395,"base":13}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1895,"base":13},"right_expr":{"type":"numeric_atoms","value":5045,"base":13}}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2713,"base":13},"right_expr":{"type":"numeric_atoms","value":1487,"base":13}}}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":6073,"base":13},"right_expr":{"type":"numeric_atoms","value":3030,"base":13}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":1987,"base":13}}}}},"used_operators":["COABgblf1C","9FxExcQeMw","rJVOvQCfKK","DZ8iAZOCBD","TpPTUOHfaN","glklzrTFfD","rxpJgHHUmx","Q3PJZHRvZv","8HhzD0ZcuI","3ViojmjbAp","Tcnh7f0tEr"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","AHs5Up7iyr","fu6greOZ01","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3554","layer":4},{"info":"number node, value=5395","layer":4},{"info":"compute binary expreesion, left_input=3554, right_input=5395, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=7108","layer":3},{"info":"number node, value=1895","layer":4},{"info":"number node, value=5045","layer":4},{"info":"compute binary expreesion, left_input=1895, right_input=5045, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=7108, 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=2713","layer":4},{"info":"number node, value=1487","layer":4},{"info":"compute binary expreesion, left_input=2713, right_input=1487, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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 = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; 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":"number node, value=6073","layer":4},{"info":"number node, value=3030","layer":4},{"info":"compute binary expreesion, left_input=6073, right_input=3030, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3033","layer":3},{"info":"number node, value=1987","layer":4},{"info":"compute unary expreesion, input=1987, 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=-3033, right_input=0, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-27595953","layer":2},{"info":"compute unary expreesion, input=-27595953, 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 = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍1805⊉≛↸⪎⋱⫍25C0)⨎⪎⋱⫍B2A+⇶⊼⪎⋱⫍23B1)⩷∴(⪎⋱⫍1309≭⪎⋱⫍8A5⨁⊸⫻)⊭↱(⊥(⪎⋱⫍29C2⨓⪎⋱⫍14C1⨽(⪎⋱⫍B9B≣⋋)))=NaN","reverse_text":"NaN=((⪎⋱⫍1805⊉≛↸⪎⋱⫍25C0)⨎⪎⋱⫍B2A+⇶⊼⪎⋱⫍23B1)⩷∴(⪎⋱⫍1309≭⪎⋱⫍8A5⨁⊸⫻)⊭↱(⊥(⪎⋱⫍29C2⨓⪎⋱⫍14C1⨽(⪎⋱⫍B9B≣⋋)))","cot":[{"info":"⪎⋱⫍1805⊉≛↸⪎⋱⫍25C0=⪎⋱⫍330A","layer":3},{"info":"⪎⋱⫍B2A+⇶⊼⪎⋱⫍23B1=NaN","layer":3},{"info":"⪎⋱⫍330A⨎NaN=NaN","layer":2},{"info":"⪎⋱⫍1309≭⪎⋱⫍8A5=NaN","layer":3},{"info":"NaN⨁⊸⫻=NaN","layer":2},{"info":"NaN⩷∴NaN=NaN","layer":1},{"info":"⪎⋱⫍29C2⨓⪎⋱⫍14C1=⪎⋱⫍-14C4","layer":3},{"info":"⪎⋱⫍B9B≣⋋=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍-14C4⨽⪎⋱⫍0=⪎⋱⫍-5942988","layer":2},{"info":"⊥⪎⋱⫍-5942988=NaN","layer":1},{"info":"NaN⊭↱NaN=NaN","layer":0}]}
{"id":413,"expression_no_base_symbol":"(≉(⋗⩬⋾($3339$/$1322$)))↪⪝","expression":"(≉(⋗⩬⋾(⪎⋱⫍169B/⪎⋱⫍7A9)))↪⪝","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":638,"operation_count":4,"complexity_ratio":159.5,"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":3339,"base":13},"right_expr":{"type":"numeric_atoms","value":1322,"base":13}}}}},"used_operators":["l07mrZUIn9","e1ybzncUwg","DpFCA1CohY","XhwjNDsVaA"],"dependent_operators":["9HNa5Wba9A","2DDjHMKMc0","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"⪎⋱⫍6868257","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3339","layer":4},{"info":"number node, value=1322","layer":4},{"info":"compute binary expreesion, left_input=3339, right_input=1322, op_id = XhwjNDsVaA binary_op_definition= 'None', output=2","layer":3},{"info":"compute unary expreesion, input=2, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-6","layer":2},{"info":"compute unary expreesion, input=-6, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=525","layer":1},{"info":"compute unary expreesion, input=525, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=32120550","layer":0}],"base":13,"result_base":13,"text":"(≉(⋗⩬⋾(⪎⋱⫍169B/⪎⋱⫍7A9)))↪⪝=⪎⋱⫍6868257","reverse_text":"⪎⋱⫍6868257=(≉(⋗⩬⋾(⪎⋱⫍169B/⪎⋱⫍7A9)))↪⪝","cot":[{"info":"⪎⋱⫍169B/⪎⋱⫍7A9=⪎⋱⫍2","layer":3},{"info":"⋗⩬⋾⪎⋱⫍2=⪎⋱⫍-6","layer":2},{"info":"≉⪎⋱⫍-6=⪎⋱⫍315","layer":1},{"info":"⪎⋱⫍315↪⪝=⪎⋱⫍6868257","layer":0}]}
{"id":414,"expression_no_base_symbol":"((≉$2785$)⨽$7926$∑⇟⊟$6349$)≎⊠⪸($4165$∼$2151$)⊴($3544$⇋≉)⩚⊴⇥(↽≂($2102$+$3394$))⪘⫢(+⊝⨔$2873$)⪛($4475$∼$2852$)","expression":"((≉⪎⋱⫍1363)⨽⪎⋱⫍37B9∑⇟⊟⪎⋱⫍2B75)≎⊠⪸(⪎⋱⫍1B85∼⪎⋱⫍C96)⊴(⪎⋱⫍17C8⇋≉)⩚⊴⇥(↽≂(⪎⋱⫍C59+⪎⋱⫍1711))⪘⫢(+⊝⨔⪎⋱⫍1400)⪛(⪎⋱⫍2063∼⪎⋱⫍13B5)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":10570,"operation_count":14,"complexity_ratio":755.0,"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":2785,"base":13}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":7926,"base":13},"right_expr":{"type":"numeric_atoms","value":6349,"base":13}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":4165,"base":13},"right_expr":{"type":"numeric_atoms","value":2151,"base":13}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":3544,"base":13}}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2102,"base":13},"right_expr":{"type":"numeric_atoms","value":3394,"base":13}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":2873,"base":13}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":4475,"base":13},"right_expr":{"type":"numeric_atoms","value":2852,"base":13}}}}},"used_operators":["NTOWxs364D","bJkvcejdHO","8HhzD0ZcuI","e1ybzncUwg","U7g4x0WXJJ","Nsiff2A1zJ","DyGG3AbaNP","XIabStNQrY","oacrs7FA3X","u6S6b8DprG","W4YGzv6Whe","uFcxV4UQCh","DhbWaqg5eL"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","dWAJyo7jo9","14qkJME0vr","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2785","layer":4},{"info":"compute unary expreesion, input=2785, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=3316","layer":3},{"info":"number node, value=7926","layer":4},{"info":"number node, value=6349","layer":4},{"info":"compute binary expreesion, left_input=7926, right_input=6349, 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=3316, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":2},{"info":"number node, value=4165","layer":4},{"info":"number node, value=2151","layer":4},{"info":"compute binary expreesion, left_input=4165, right_input=2151, 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=3544","layer":4},{"info":"compute unary expreesion, input=3544, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=6990","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=6990, 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 = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":1},{"info":"number node, value=2102","layer":4},{"info":"number node, value=3394","layer":4},{"info":"compute binary expreesion, left_input=2102, right_input=3394, op_id = W4YGzv6Whe binary_op_definition= 'None', output=5496","layer":3},{"info":"compute unary expreesion, input=5496, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-10992","layer":2},{"info":"number node, value=2873","layer":4},{"info":"compute unary expreesion, input=2873, 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=4475","layer":4},{"info":"number node, value=2852","layer":4},{"info":"compute binary expreesion, left_input=4475, right_input=2852, 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=1522, 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=-10992, right_input=nan, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((≉⪎⋱⫍1363)⨽⪎⋱⫍37B9∑⇟⊟⪎⋱⫍2B75)≎⊠⪸(⪎⋱⫍1B85∼⪎⋱⫍C96)⊴(⪎⋱⫍17C8⇋≉)⩚⊴⇥(↽≂(⪎⋱⫍C59+⪎⋱⫍1711))⪘⫢(+⊝⨔⪎⋱⫍1400)⪛(⪎⋱⫍2063∼⪎⋱⫍13B5)=NaN","reverse_text":"NaN=((≉⪎⋱⫍1363)⨽⪎⋱⫍37B9∑⇟⊟⪎⋱⫍2B75)≎⊠⪸(⪎⋱⫍1B85∼⪎⋱⫍C96)⊴(⪎⋱⫍17C8⇋≉)⩚⊴⇥(↽≂(⪎⋱⫍C59+⪎⋱⫍1711))⪘⫢(+⊝⨔⪎⋱⫍1400)⪛(⪎⋱⫍2063∼⪎⋱⫍13B5)","cot":[{"info":"≉⪎⋱⫍1363=⪎⋱⫍1681","layer":3},{"info":"⪎⋱⫍37B9∑⇟⊟⪎⋱⫍2B75=NaN","layer":3},{"info":"⪎⋱⫍1681⨽NaN=NaN","layer":2},{"info":"⪎⋱⫍1B85∼⪎⋱⫍C96=NaN","layer":3},{"info":"⪎⋱⫍17C8⇋≉=⪎⋱⫍3249","layer":3},{"info":"NaN⊴⪎⋱⫍3249=NaN","layer":2},{"info":"NaN≎⊠⪸NaN=⪎⋱⫍52","layer":1},{"info":"⪎⋱⫍C59+⪎⋱⫍1711=⪎⋱⫍266A","layer":3},{"info":"↽≂⪎⋱⫍266A=⪎⋱⫍-5007","layer":2},{"info":"+⊝⨔⪎⋱⫍1400=⪎⋱⫍901","layer":3},{"info":"⪎⋱⫍2063∼⪎⋱⫍13B5=NaN","layer":3},{"info":"⪎⋱⫍901⪛NaN=NaN","layer":2},{"info":"⪎⋱⫍-5007⪘⫢NaN=NaN","layer":1},{"info":"⪎⋱⫍52⩚⊴⇥NaN=NaN","layer":0}]}
{"id":415,"expression_no_base_symbol":"+⊝⨔(($2622$≹⇙⪍$8236$⊭↱$1464$∀⇚≩$4403$)⨽(⊥(⨑⩽⪐$3736$)))","expression":"+⊝⨔((⪎⋱⫍1269≹⇙⪍⪎⋱⫍3997⊭↱⪎⋱⫍888∀⇚≩⪎⋱⫍2009)⨽(⊥(⨑⩽⪐⪎⋱⫍1915)))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":10290,"operation_count":7,"complexity_ratio":1470.0,"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":2622,"base":13},"right_expr":{"type":"numeric_atoms","value":8236,"base":13}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1464,"base":13},"right_expr":{"type":"numeric_atoms","value":4403,"base":13}}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":3736,"base":13}}}}},"used_operators":["DhbWaqg5eL","8HhzD0ZcuI","COABgblf1C","AHs5Up7iyr","LRNGc0VcxI","Q3PJZHRvZv","AF7qkfDlqP"],"dependent_operators":["dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","X99M06cbEe","fu6greOZ01","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"⪎⋱⫍901","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2622","layer":4},{"info":"number node, value=8236","layer":4},{"info":"compute binary expreesion, left_input=2622, right_input=8236, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=1464","layer":4},{"info":"number node, value=4403","layer":4},{"info":"compute binary expreesion, left_input=1464, right_input=4403, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":2},{"info":"number node, value=3736","layer":4},{"info":"compute unary expreesion, input=3736, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-3463","layer":3},{"info":"compute unary expreesion, input=-3463, 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 = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', 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":13,"result_base":13,"text":"+⊝⨔((⪎⋱⫍1269≹⇙⪍⪎⋱⫍3997⊭↱⪎⋱⫍888∀⇚≩⪎⋱⫍2009)⨽(⊥(⨑⩽⪐⪎⋱⫍1915)))=⪎⋱⫍901","reverse_text":"⪎⋱⫍901=+⊝⨔((⪎⋱⫍1269≹⇙⪍⪎⋱⫍3997⊭↱⪎⋱⫍888∀⇚≩⪎⋱⫍2009)⨽(⊥(⨑⩽⪐⪎⋱⫍1915)))","cot":[{"info":"⪎⋱⫍1269≹⇙⪍⪎⋱⫍3997=NaN","layer":3},{"info":"⪎⋱⫍888∀⇚≩⪎⋱⫍2009=NaN","layer":3},{"info":"NaN⊭↱NaN=NaN","layer":2},{"info":"⨑⩽⪐⪎⋱⫍1915=⪎⋱⫍-1765","layer":3},{"info":"⊥⪎⋱⫍-1765=NaN","layer":2},{"info":"NaN⨽NaN=NaN","layer":1},{"info":"+⊝⨔NaN=⪎⋱⫍901","layer":0}]}
{"id":416,"expression_no_base_symbol":"∂(($7897$⪘⫢$7337$⊠≄⫣)+($3269$⊉≛↸$1386$)⨎$1178$⨓$3790$)","expression":"∂((⪎⋱⫍3796⪘⫢⪎⋱⫍3455⊠≄⫣)+(⪎⋱⫍1646⊉≛↸⪎⋱⫍828)⨎⪎⋱⫍6C8⨓⪎⋱⫍1957)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":4235,"operation_count":7,"complexity_ratio":605.0,"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":7897,"base":13},"right_expr":{"type":"numeric_atoms","value":7337,"base":13}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":3269,"base":13},"right_expr":{"type":"numeric_atoms","value":1386,"base":13}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1178,"base":13},"right_expr":{"type":"numeric_atoms","value":3790,"base":13}}}}},"used_operators":["Uaa54Peajs","W4YGzv6Whe","DIvbN7qnHd","oacrs7FA3X","rJVOvQCfKK","DZ8iAZOCBD","3ViojmjbAp"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"⪎⋱⫍17B6","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=7897","layer":4},{"info":"number node, value=7337","layer":4},{"info":"compute binary expreesion, left_input=7897, right_input=7337, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=15670","layer":3},{"info":"compute unary expreesion, input=15670, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":2},{"info":"number node, value=3269","layer":4},{"info":"number node, value=1386","layer":4},{"info":"compute binary expreesion, left_input=3269, right_input=1386, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=6538","layer":3},{"info":"number node, value=1178","layer":4},{"info":"number node, value=3790","layer":4},{"info":"compute binary expreesion, left_input=1178, right_input=3790, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3793","layer":3},{"info":"compute binary expreesion, left_input=6538, right_input=-3793, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-3793","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-3793, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-3793","layer":1},{"info":"compute unary expreesion, input=-3793, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=3529","layer":0}],"base":13,"result_base":13,"text":"∂((⪎⋱⫍3796⪘⫢⪎⋱⫍3455⊠≄⫣)+(⪎⋱⫍1646⊉≛↸⪎⋱⫍828)⨎⪎⋱⫍6C8⨓⪎⋱⫍1957)=⪎⋱⫍17B6","reverse_text":"⪎⋱⫍17B6=∂((⪎⋱⫍3796⪘⫢⪎⋱⫍3455⊠≄⫣)+(⪎⋱⫍1646⊉≛↸⪎⋱⫍828)⨎⪎⋱⫍6C8⨓⪎⋱⫍1957)","cot":[{"info":"⪎⋱⫍3796⪘⫢⪎⋱⫍3455=⪎⋱⫍7195","layer":3},{"info":"⪎⋱⫍7195⊠≄⫣=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍1646⊉≛↸⪎⋱⫍828=⪎⋱⫍2C8C","layer":3},{"info":"⪎⋱⫍6C8⨓⪎⋱⫍1957=⪎⋱⫍-195A","layer":3},{"info":"⪎⋱⫍2C8C⨎⪎⋱⫍-195A=⪎⋱⫍-195A","layer":2},{"info":"⪎⋱⫍0+⪎⋱⫍-195A=⪎⋱⫍-195A","layer":1},{"info":"∂⪎⋱⫍-195A=⪎⋱⫍17B6","layer":0}]}
{"id":417,"expression_no_base_symbol":"((($5192$%$1380$)⪒$1385$⊭↱$2537$)⋥≓≎(($5150$⊘)⨵⪆$2243$⇼⇔∾$4453$))⇷(($2804$⇷$2369$)⪢(∥⊫$8736$))≹⇙⪍(⊄⩳↩(↩$1086$))","expression":"(((⪎⋱⫍2495%⪎⋱⫍822)⪒⪎⋱⫍827⊭↱⪎⋱⫍1202)⋥≓≎((⪎⋱⫍2462⊘)⨵⪆⪎⋱⫍1037⇼⇔∾⪎⋱⫍2047))⇷((⪎⋱⫍1379⇷⪎⋱⫍1103)⪢(∥⊫⪎⋱⫍3C90))≹⇙⪍(⊄⩳↩(↩⪎⋱⫍657))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":49870,"operation_count":14,"complexity_ratio":3562.1428571428573,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":5192,"base":13},"right_expr":{"type":"numeric_atoms","value":1380,"base":13}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1385,"base":13},"right_expr":{"type":"numeric_atoms","value":2537,"base":13}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":5150,"base":13}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2243,"base":13},"right_expr":{"type":"numeric_atoms","value":4453,"base":13}}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2804,"base":13},"right_expr":{"type":"numeric_atoms","value":2369,"base":13}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":8736,"base":13}}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":1086,"base":13}}}}},"used_operators":["mp7IySMOzn","Qy55tPpLXF","f6k1SAg4EE","k8jYdgA6NY","COABgblf1C","2DQ55sFlQl","gu96TGCTMs","tifHPKVTfV","AHs5Up7iyr","dWAJyo7jo9","P8v4zCKN1o","8w2t5hMYqp","jLgFTUHLKL"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5192","layer":4},{"info":"number node, value=1380","layer":4},{"info":"compute binary expreesion, left_input=5192, right_input=1380, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1052","layer":3},{"info":"number node, value=1385","layer":4},{"info":"number node, value=2537","layer":4},{"info":"compute binary expreesion, left_input=1385, right_input=2537, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=2309","layer":3},{"info":"compute binary expreesion, left_input=1052, right_input=2309, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-3361","layer":2},{"info":"number node, value=5150","layer":4},{"info":"compute unary expreesion, input=5150, 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=2243","layer":4},{"info":"number node, value=4453","layer":4},{"info":"compute binary expreesion, left_input=2243, right_input=4453, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=2210","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2210, 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=-3361, right_input=160, 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=2804","layer":4},{"info":"number node, value=2369","layer":4},{"info":"compute binary expreesion, left_input=2804, right_input=2369, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=4738","layer":3},{"info":"number node, value=8736","layer":4},{"info":"compute unary expreesion, input=8736, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=9604","layer":3},{"info":"compute binary expreesion, left_input=4738, right_input=9604, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=1086","layer":4},{"info":"compute unary expreesion, input=1086, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-5908","layer":3},{"info":"compute unary expreesion, input=-5908, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=17724","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=17724, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(((⪎⋱⫍2495%⪎⋱⫍822)⪒⪎⋱⫍827⊭↱⪎⋱⫍1202)⋥≓≎((⪎⋱⫍2462⊘)⨵⪆⪎⋱⫍1037⇼⇔∾⪎⋱⫍2047))⇷((⪎⋱⫍1379⇷⪎⋱⫍1103)⪢(∥⊫⪎⋱⫍3C90))≹⇙⪍(⊄⩳↩(↩⪎⋱⫍657))=NaN","reverse_text":"NaN=(((⪎⋱⫍2495%⪎⋱⫍822)⪒⪎⋱⫍827⊭↱⪎⋱⫍1202)⋥≓≎((⪎⋱⫍2462⊘)⨵⪆⪎⋱⫍1037⇼⇔∾⪎⋱⫍2047))⇷((⪎⋱⫍1379⇷⪎⋱⫍1103)⪢(∥⊫⪎⋱⫍3C90))≹⇙⪍(⊄⩳↩(↩⪎⋱⫍657))","cot":[{"info":"⪎⋱⫍2495%⪎⋱⫍822=⪎⋱⫍62C","layer":3},{"info":"⪎⋱⫍827⊭↱⪎⋱⫍1202=⪎⋱⫍1088","layer":3},{"info":"⪎⋱⫍62C⪒⪎⋱⫍1088=⪎⋱⫍-16B7","layer":2},{"info":"⪎⋱⫍2462⊘=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍1037⇼⇔∾⪎⋱⫍2047=⪎⋱⫍1010","layer":3},{"info":"⪎⋱⫍0⨵⪆⪎⋱⫍1010=⪎⋱⫍C4","layer":2},{"info":"⪎⋱⫍-16B7⋥≓≎⪎⋱⫍C4=⪎⋱⫍52","layer":1},{"info":"⪎⋱⫍1379⇷⪎⋱⫍1103=⪎⋱⫍2206","layer":3},{"info":"∥⊫⪎⋱⫍3C90=⪎⋱⫍44AA","layer":3},{"info":"⪎⋱⫍2206⪢⪎⋱⫍44AA=NaN","layer":2},{"info":"↩⪎⋱⫍657=⪎⋱⫍-28C6","layer":3},{"info":"⊄⩳↩⪎⋱⫍-28C6=⪎⋱⫍80B5","layer":2},{"info":"NaN≹⇙⪍⪎⋱⫍80B5=NaN","layer":1},{"info":"⪎⋱⫍52⇷NaN=NaN","layer":0}]}
{"id":418,"expression_no_base_symbol":"⨑⩽⪐(($2727$/$1170$+(⋗⩬⋾$1144$))-$4938$⨽$4219$⨸⪁$6116$⪄$1349$)","expression":"⨑⩽⪐((⪎⋱⫍131A/⪎⋱⫍6C0+(⋗⩬⋾⪎⋱⫍6A0))-⪎⋱⫍232B⨽⪎⋱⫍1BC7⨸⪁⪎⋱⫍2A26⪄⪎⋱⫍7CA)","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":5056,"operation_count":8,"complexity_ratio":632.0,"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":2727,"base":13},"right_expr":{"type":"numeric_atoms","value":1170,"base":13}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1144,"base":13}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":4938,"base":13},"right_expr":{"type":"numeric_atoms","value":4219,"base":13}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":6116,"base":13},"right_expr":{"type":"numeric_atoms","value":1349,"base":13}}}}},"used_operators":["AF7qkfDlqP","rysDP5nf3Z","W4YGzv6Whe","XhwjNDsVaA","DpFCA1CohY","g55IO6H4Gj","8HhzD0ZcuI","SUmda5xLS4"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"⪎⋱⫍-248C8272","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2727","layer":4},{"info":"number node, value=1170","layer":4},{"info":"compute binary expreesion, left_input=2727, right_input=1170, op_id = XhwjNDsVaA binary_op_definition= 'None', output=2","layer":3},{"info":"number node, value=1144","layer":4},{"info":"compute unary expreesion, input=1144, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-3432","layer":3},{"info":"compute binary expreesion, left_input=2, right_input=-3432, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-3430","layer":2},{"info":"number node, value=4938","layer":4},{"info":"number node, value=4219","layer":4},{"info":"compute binary expreesion, left_input=4938, right_input=4219, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-73162875","layer":3},{"info":"number node, value=6116","layer":4},{"info":"number node, value=1349","layer":4},{"info":"compute binary expreesion, left_input=6116, right_input=1349, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-906653","layer":3},{"info":"compute binary expreesion, left_input=-73162875, right_input=-906653, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-148139056","layer":2},{"info":"compute binary expreesion, left_input=-3430, right_input=-148139056, op_id = rysDP5nf3Z binary_op_definition= 'None', output=148135626","layer":1},{"info":"compute unary expreesion, input=148135626, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-148135353","layer":0}],"base":13,"result_base":13,"text":"⨑⩽⪐((⪎⋱⫍131A/⪎⋱⫍6C0+(⋗⩬⋾⪎⋱⫍6A0))-⪎⋱⫍232B⨽⪎⋱⫍1BC7⨸⪁⪎⋱⫍2A26⪄⪎⋱⫍7CA)=⪎⋱⫍-248C8272","reverse_text":"⪎⋱⫍-248C8272=⨑⩽⪐((⪎⋱⫍131A/⪎⋱⫍6C0+(⋗⩬⋾⪎⋱⫍6A0))-⪎⋱⫍232B⨽⪎⋱⫍1BC7⨸⪁⪎⋱⫍2A26⪄⪎⋱⫍7CA)","cot":[{"info":"⪎⋱⫍131A/⪎⋱⫍6C0=⪎⋱⫍2","layer":3},{"info":"⋗⩬⋾⪎⋱⫍6A0=⪎⋱⫍-1740","layer":3},{"info":"⪎⋱⫍2+⪎⋱⫍-1740=⪎⋱⫍-173B","layer":2},{"info":"⪎⋱⫍232B⨽⪎⋱⫍1BC7=⪎⋱⫍-12208356","layer":3},{"info":"⪎⋱⫍2A26⪄⪎⋱⫍7CA=⪎⋱⫍-2598A7","layer":3},{"info":"⪎⋱⫍-12208356⨸⪁⪎⋱⫍-2598A7=⪎⋱⫍-248C9B60","layer":2},{"info":"⪎⋱⫍-173B-⪎⋱⫍-248C9B60=⪎⋱⫍248C8422","layer":1},{"info":"⨑⩽⪐⪎⋱⫍248C8422=⪎⋱⫍-248C8272","layer":0}]}
{"id":419,"expression_no_base_symbol":"((⪝⪂⫅($3724$≦≮≮))⪨≂($1385$/$1001$)⪮%⊝($1363$∲⫓$3427$))≭(((⊙↵-$3035$)⩨$1093$⨎$1014$)⩚⊴⇥($3720$⊴$2547$≎⊠⪸($2291$⊉≛↸$2981$)))","expression":"((⪝⪂⫅(⪎⋱⫍1906≦≮≮))⪨≂(⪎⋱⫍827/⪎⋱⫍5C0)⪮%⊝(⪎⋱⫍80B∲⫓⪎⋱⫍1738))≭(((⊙↵-⪎⋱⫍14C6)⩨⪎⋱⫍661⨎⪎⋱⫍600)⩚⊴⇥(⪎⋱⫍1902⊴⪎⋱⫍120C≎⊠⪸(⪎⋱⫍1073⊉≛↸⪎⋱⫍1484)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":7124,"operation_count":14,"complexity_ratio":508.85714285714283,"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":3724,"base":13}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1385,"base":13},"right_expr":{"type":"numeric_atoms","value":1001,"base":13}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1363,"base":13},"right_expr":{"type":"numeric_atoms","value":3427,"base":13}}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":3035,"base":13}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1093,"base":13},"right_expr":{"type":"numeric_atoms","value":1014,"base":13}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":3720,"base":13},"right_expr":{"type":"numeric_atoms","value":2547,"base":13}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2291,"base":13},"right_expr":{"type":"numeric_atoms","value":2981,"base":13}}}}},"used_operators":["rxpJgHHUmx","sdazOOVcIp","XTarYq4gQB","D4vGDi5EA2","IWmyXbctLI","XhwjNDsVaA","i8ToyICDmI","NTOWxs364D","2DlMacCsIx","oWn0xqSxBt","rJVOvQCfKK","bJkvcejdHO","Nsiff2A1zJ","DZ8iAZOCBD"],"dependent_operators":["AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3724","layer":4},{"info":"compute unary expreesion, input=3724, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-11172","layer":3},{"info":"compute unary expreesion, input=-11172, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=1642284","layer":2},{"info":"number node, value=1385","layer":4},{"info":"number node, value=1001","layer":4},{"info":"compute binary expreesion, left_input=1385, right_input=1001, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"number node, value=1363","layer":4},{"info":"number node, value=3427","layer":4},{"info":"compute binary expreesion, left_input=1363, right_input=3427, 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=1, right_input=0, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1642284, 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=3035","layer":4},{"info":"compute unary expreesion, input=3035, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=1093","layer":4},{"info":"number node, value=1014","layer":4},{"info":"compute binary expreesion, left_input=1093, right_input=1014, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1014","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=1014, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=3042","layer":2},{"info":"number node, value=3720","layer":4},{"info":"number node, value=2547","layer":4},{"info":"compute binary expreesion, left_input=3720, right_input=2547, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=2291","layer":4},{"info":"number node, value=2981","layer":4},{"info":"compute binary expreesion, left_input=2291, right_input=2981, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=4582","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4582, 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=3042, 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":13,"result_base":13,"text":"((⪝⪂⫅(⪎⋱⫍1906≦≮≮))⪨≂(⪎⋱⫍827/⪎⋱⫍5C0)⪮%⊝(⪎⋱⫍80B∲⫓⪎⋱⫍1738))≭(((⊙↵-⪎⋱⫍14C6)⩨⪎⋱⫍661⨎⪎⋱⫍600)⩚⊴⇥(⪎⋱⫍1902⊴⪎⋱⫍120C≎⊠⪸(⪎⋱⫍1073⊉≛↸⪎⋱⫍1484)))=NaN","reverse_text":"NaN=((⪝⪂⫅(⪎⋱⫍1906≦≮≮))⪨≂(⪎⋱⫍827/⪎⋱⫍5C0)⪮%⊝(⪎⋱⫍80B∲⫓⪎⋱⫍1738))≭(((⊙↵-⪎⋱⫍14C6)⩨⪎⋱⫍661⨎⪎⋱⫍600)⩚⊴⇥(⪎⋱⫍1902⊴⪎⋱⫍120C≎⊠⪸(⪎⋱⫍1073⊉≛↸⪎⋱⫍1484)))","cot":[{"info":"⪎⋱⫍1906≦≮≮=⪎⋱⫍-5115","layer":3},{"info":"⪝⪂⫅⪎⋱⫍-5115=⪎⋱⫍456687","layer":2},{"info":"⪎⋱⫍827/⪎⋱⫍5C0=⪎⋱⫍1","layer":3},{"info":"⪎⋱⫍80B∲⫓⪎⋱⫍1738=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍1⪮%⊝⪎⋱⫍0=NaN","layer":2},{"info":"⪎⋱⫍456687⪨≂NaN=NaN","layer":1},{"info":"⊙↵-⪎⋱⫍14C6=⪎⋱⫍-1","layer":3},{"info":"⪎⋱⫍661⨎⪎⋱⫍600=⪎⋱⫍600","layer":3},{"info":"⪎⋱⫍-1⩨⪎⋱⫍600=⪎⋱⫍1500","layer":2},{"info":"⪎⋱⫍1902⊴⪎⋱⫍120C=NaN","layer":3},{"info":"⪎⋱⫍1073⊉≛↸⪎⋱⫍1484=⪎⋱⫍2116","layer":3},{"info":"NaN≎⊠⪸⪎⋱⫍2116=NaN","layer":2},{"info":"⪎⋱⫍1500⩚⊴⇥NaN=NaN","layer":1},{"info":"NaN≭NaN=NaN","layer":0}]}
{"id":420,"expression_no_base_symbol":"⨞⊢((⋗⩬⋾($2881$+$1216$))⨸⪁$4099$⊴$4487$⋥≓≎(⊙↵-$1273$))","expression":"⨞⊢((⋗⩬⋾(⪎⋱⫍1408+⪎⋱⫍727))⨸⪁⪎⋱⫍1B34⊴⪎⋱⫍2072⋥≓≎(⊙↵-⪎⋱⫍76C))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":5823,"operation_count":7,"complexity_ratio":831.8571428571429,"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":2881,"base":13},"right_expr":{"type":"numeric_atoms","value":1216,"base":13}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":4099,"base":13},"right_expr":{"type":"numeric_atoms","value":4487,"base":13}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1273,"base":13}}}}},"used_operators":["xUOZtlo3hN","g55IO6H4Gj","DpFCA1CohY","W4YGzv6Whe","Qy55tPpLXF","Nsiff2A1zJ","oWn0xqSxBt"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X"],"result":"⪎⋱⫍B083","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2881","layer":4},{"info":"number node, value=1216","layer":4},{"info":"compute binary expreesion, left_input=2881, right_input=1216, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4097","layer":3},{"info":"compute unary expreesion, input=4097, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-12291","layer":2},{"info":"number node, value=4099","layer":4},{"info":"number node, value=4487","layer":4},{"info":"compute binary expreesion, left_input=4099, right_input=4487, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","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=nan, right_input=-1, 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=-12291, right_input=67, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-24448","layer":1},{"info":"compute unary expreesion, input=-24448, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=24274","layer":0}],"base":13,"result_base":13,"text":"⨞⊢((⋗⩬⋾(⪎⋱⫍1408+⪎⋱⫍727))⨸⪁⪎⋱⫍1B34⊴⪎⋱⫍2072⋥≓≎(⊙↵-⪎⋱⫍76C))=⪎⋱⫍B083","reverse_text":"⪎⋱⫍B083=⨞⊢((⋗⩬⋾(⪎⋱⫍1408+⪎⋱⫍727))⨸⪁⪎⋱⫍1B34⊴⪎⋱⫍2072⋥≓≎(⊙↵-⪎⋱⫍76C))","cot":[{"info":"⪎⋱⫍1408+⪎⋱⫍727=⪎⋱⫍1B32","layer":3},{"info":"⋗⩬⋾⪎⋱⫍1B32=⪎⋱⫍-5796","layer":2},{"info":"⪎⋱⫍1B34⊴⪎⋱⫍2072=NaN","layer":3},{"info":"⊙↵-⪎⋱⫍76C=⪎⋱⫍-1","layer":3},{"info":"NaN⋥≓≎⪎⋱⫍-1=⪎⋱⫍52","layer":2},{"info":"⪎⋱⫍-5796⨸⪁⪎⋱⫍52=⪎⋱⫍-B188","layer":1},{"info":"⨞⊢⪎⋱⫍-B188=⪎⋱⫍B083","layer":0}]}
{"id":421,"expression_no_base_symbol":"-(($1640$⨎$3221$)⩷∴(⨞⊢$6082$))⨓((↔$5973$)⊭↱$4328$≧⫂∧$3099$)","expression":"-((⪎⋱⫍992⨎⪎⋱⫍160A)⩷∴(⨞⊢⪎⋱⫍29CB))⨓((↔⪎⋱⫍2946)⊭↱⪎⋱⫍1C7C≧⫂∧⪎⋱⫍1545)","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":16687,"operation_count":8,"complexity_ratio":2085.875,"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":1640,"base":13},"right_expr":{"type":"numeric_atoms","value":3221,"base":13}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":6082,"base":13}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":5973,"base":13}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":4328,"base":13},"right_expr":{"type":"numeric_atoms","value":3099,"base":13}}}}},"used_operators":["t8gj7n24qd","3ViojmjbAp","9FxExcQeMw","rJVOvQCfKK","xUOZtlo3hN","COABgblf1C","ruOEQAzv1W","Ph9nP6C5qx"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍7777","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1640","layer":4},{"info":"number node, value=3221","layer":4},{"info":"compute binary expreesion, left_input=1640, right_input=3221, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3221","layer":3},{"info":"number node, value=6082","layer":4},{"info":"compute unary expreesion, input=6082, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-6256","layer":3},{"info":"compute binary expreesion, left_input=3221, right_input=-6256, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=18922","layer":2},{"info":"number node, value=5973","layer":4},{"info":"compute unary expreesion, input=5973, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-5700","layer":3},{"info":"number node, value=4328","layer":4},{"info":"number node, value=3099","layer":4},{"info":"compute binary expreesion, left_input=4328, right_input=3099, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2626","layer":3},{"info":"compute binary expreesion, left_input=-5700, right_input=2626, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=16657","layer":2},{"info":"compute binary expreesion, left_input=18922, right_input=16657, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-16660","layer":1},{"info":"compute unary expreesion, input=-16660, op_id = t8gj7n24qd, unary_op_definition = 'None', output=16660","layer":0}],"base":13,"result_base":13,"text":"-((⪎⋱⫍992⨎⪎⋱⫍160A)⩷∴(⨞⊢⪎⋱⫍29CB))⨓((↔⪎⋱⫍2946)⊭↱⪎⋱⫍1C7C≧⫂∧⪎⋱⫍1545)=⪎⋱⫍7777","reverse_text":"⪎⋱⫍7777=-((⪎⋱⫍992⨎⪎⋱⫍160A)⩷∴(⨞⊢⪎⋱⫍29CB))⨓((↔⪎⋱⫍2946)⊭↱⪎⋱⫍1C7C≧⫂∧⪎⋱⫍1545)","cot":[{"info":"⪎⋱⫍992⨎⪎⋱⫍160A=⪎⋱⫍160A","layer":3},{"info":"⨞⊢⪎⋱⫍29CB=⪎⋱⫍-2B03","layer":3},{"info":"⪎⋱⫍160A⩷∴⪎⋱⫍-2B03=⪎⋱⫍87C7","layer":2},{"info":"↔⪎⋱⫍2946=⪎⋱⫍-2796","layer":3},{"info":"⪎⋱⫍1C7C≧⫂∧⪎⋱⫍1545=⪎⋱⫍1270","layer":3},{"info":"⪎⋱⫍-2796⊭↱⪎⋱⫍1270=⪎⋱⫍7774","layer":2},{"info":"⪎⋱⫍87C7⨓⪎⋱⫍7774=⪎⋱⫍-7777","layer":1},{"info":"-⪎⋱⫍-7777=⪎⋱⫍7777","layer":0}]}
{"id":422,"expression_no_base_symbol":"(∂(↩$2150$))⨓((≦∁$1001$)⫸⊐$8326$≎⊠⪸$6838$)⨵⪆(⨰⫟⨤(+⊝⨔$6993$)∼($1913$∲⫓$2233$))","expression":"(∂(↩⪎⋱⫍C95))⨓((≦∁⪎⋱⫍5C0)⫸⊐⪎⋱⫍3A36≎⊠⪸⪎⋱⫍3160)⨵⪆(⨰⫟⨤(+⊝⨔⪎⋱⫍324C)∼(⪎⋱⫍B42∲⫓⪎⋱⫍102A))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1720,"operation_count":11,"complexity_ratio":156.36363636363637,"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":2150,"base":13}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":1001,"base":13}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":8326,"base":13},"right_expr":{"type":"numeric_atoms","value":6838,"base":13}}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":6993,"base":13}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1913,"base":13},"right_expr":{"type":"numeric_atoms","value":2233,"base":13}}}}},"used_operators":["2DQ55sFlQl","3ViojmjbAp","Uaa54Peajs","jLgFTUHLKL","mqXw5SEYmG","9ICcGScMcE","bJkvcejdHO","Tw270M8GLb","DyGG3AbaNP","DhbWaqg5eL","i8ToyICDmI"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍C4","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2150","layer":4},{"info":"compute unary expreesion, input=2150, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-14420","layer":3},{"info":"compute unary expreesion, input=-14420, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=14156","layer":2},{"info":"number node, value=1001","layer":4},{"info":"compute unary expreesion, input=1001, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1001","layer":3},{"info":"number node, value=8326","layer":4},{"info":"number node, value=6838","layer":4},{"info":"compute binary expreesion, left_input=8326, right_input=6838, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=2155961","layer":3},{"info":"compute binary expreesion, left_input=1001, right_input=2155961, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=8623719","layer":2},{"info":"compute binary expreesion, left_input=14156, right_input=8623719, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":1},{"info":"number node, value=6993","layer":4},{"info":"compute unary expreesion, input=6993, 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=1913","layer":4},{"info":"number node, value=2233","layer":4},{"info":"compute binary expreesion, left_input=1913, right_input=2233, 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=1522, 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 = 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 = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":13,"result_base":13,"text":"(∂(↩⪎⋱⫍C95))⨓((≦∁⪎⋱⫍5C0)⫸⊐⪎⋱⫍3A36≎⊠⪸⪎⋱⫍3160)⨵⪆(⨰⫟⨤(+⊝⨔⪎⋱⫍324C)∼(⪎⋱⫍B42∲⫓⪎⋱⫍102A))=⪎⋱⫍C4","reverse_text":"⪎⋱⫍C4=(∂(↩⪎⋱⫍C95))⨓((≦∁⪎⋱⫍5C0)⫸⊐⪎⋱⫍3A36≎⊠⪸⪎⋱⫍3160)⨵⪆(⨰⫟⨤(+⊝⨔⪎⋱⫍324C)∼(⪎⋱⫍B42∲⫓⪎⋱⫍102A))","cot":[{"info":"↩⪎⋱⫍C95=⪎⋱⫍-6743","layer":3},{"info":"∂⪎⋱⫍-6743=⪎⋱⫍659C","layer":2},{"info":"≦∁⪎⋱⫍5C0=⪎⋱⫍5C0","layer":3},{"info":"⪎⋱⫍3A36≎⊠⪸⪎⋱⫍3160=⪎⋱⫍5A6422","layer":3},{"info":"⪎⋱⫍5C0⫸⊐⪎⋱⫍5A6422=⪎⋱⫍1A2C2C0","layer":2},{"info":"⪎⋱⫍659C⨓⪎⋱⫍1A2C2C0=NaN","layer":1},{"info":"+⊝⨔⪎⋱⫍324C=⪎⋱⫍901","layer":3},{"info":"⪎⋱⫍B42∲⫓⪎⋱⫍102A=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍901∼⪎⋱⫍0=⪎⋱⫍17","layer":2},{"info":"⨰⫟⨤⪎⋱⫍17=NaN","layer":1},{"info":"NaN⨵⪆NaN=⪎⋱⫍C4","layer":0}]}
{"id":423,"expression_no_base_symbol":"($1838$≎⊠⪸$5015$⨎($2031$%$1292$))↬($4758$⫡⨏$2835$⨵⪆$4471$↬$1396$)⨽((($1803$≦≮≮)⫸⊐($3220$⊘))⩠)","expression":"(⪎⋱⫍AB5≎⊠⪸⪎⋱⫍238A⨎(⪎⋱⫍C03%⪎⋱⫍785))↬(⪎⋱⫍2220⫡⨏⪎⋱⫍13A1⨵⪆⪎⋱⫍205C↬⪎⋱⫍835)⨽(((⪎⋱⫍A89≦≮≮)⫸⊐(⪎⋱⫍1609⊘))⩠)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":336,"operation_count":12,"complexity_ratio":28.0,"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":1838,"base":13},"right_expr":{"type":"numeric_atoms","value":5015,"base":13}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2031,"base":13},"right_expr":{"type":"numeric_atoms","value":1292,"base":13}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":4758,"base":13},"right_expr":{"type":"numeric_atoms","value":2835,"base":13}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":4471,"base":13},"right_expr":{"type":"numeric_atoms","value":1396,"base":13}}}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":1803,"base":13}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":3220,"base":13}}}}},"used_operators":["8HhzD0ZcuI","B5M0gjZbta","rJVOvQCfKK","bJkvcejdHO","k8jYdgA6NY","2DQ55sFlQl","QMFrweE19q","sJAwomhLZr","mqXw5SEYmG","D4vGDi5EA2","gu96TGCTMs"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rGHVDoGpnC","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1838","layer":4},{"info":"number node, value=5015","layer":4},{"info":"compute binary expreesion, left_input=1838, right_input=5015, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=475569","layer":3},{"info":"number node, value=2031","layer":4},{"info":"number node, value=1292","layer":4},{"info":"compute binary expreesion, left_input=2031, right_input=1292, op_id = k8jYdgA6NY binary_op_definition= 'None', output=739","layer":3},{"info":"compute binary expreesion, left_input=475569, right_input=739, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=739","layer":2},{"info":"number node, value=4758","layer":4},{"info":"number node, value=2835","layer":4},{"info":"compute binary expreesion, left_input=4758, right_input=2835, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=30243","layer":3},{"info":"number node, value=4471","layer":4},{"info":"number node, value=1396","layer":4},{"info":"compute binary expreesion, left_input=4471, right_input=1396, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=30243, 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=739, 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":1},{"info":"number node, value=1803","layer":4},{"info":"compute unary expreesion, input=1803, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-5409","layer":3},{"info":"number node, value=3220","layer":4},{"info":"compute unary expreesion, input=3220, 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=-5409, 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 unary expreesion, input=968, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍AB5≎⊠⪸⪎⋱⫍238A⨎(⪎⋱⫍C03%⪎⋱⫍785))↬(⪎⋱⫍2220⫡⨏⪎⋱⫍13A1⨵⪆⪎⋱⫍205C↬⪎⋱⫍835)⨽(((⪎⋱⫍A89≦≮≮)⫸⊐(⪎⋱⫍1609⊘))⩠)=NaN","reverse_text":"NaN=(⪎⋱⫍AB5≎⊠⪸⪎⋱⫍238A⨎(⪎⋱⫍C03%⪎⋱⫍785))↬(⪎⋱⫍2220⫡⨏⪎⋱⫍13A1⨵⪆⪎⋱⫍205C↬⪎⋱⫍835)⨽(((⪎⋱⫍A89≦≮≮)⫸⊐(⪎⋱⫍1609⊘))⩠)","cot":[{"info":"⪎⋱⫍AB5≎⊠⪸⪎⋱⫍238A=⪎⋱⫍138603","layer":3},{"info":"⪎⋱⫍C03%⪎⋱⫍785=⪎⋱⫍44B","layer":3},{"info":"⪎⋱⫍138603⨎⪎⋱⫍44B=⪎⋱⫍44B","layer":2},{"info":"⪎⋱⫍2220⫡⨏⪎⋱⫍13A1=⪎⋱⫍109C5","layer":3},{"info":"⪎⋱⫍205C↬⪎⋱⫍835=NaN","layer":3},{"info":"⪎⋱⫍109C5⨵⪆NaN=⪎⋱⫍C4","layer":2},{"info":"⪎⋱⫍44B↬⪎⋱⫍C4=NaN","layer":1},{"info":"⪎⋱⫍A89≦≮≮=⪎⋱⫍-2601","layer":3},{"info":"⪎⋱⫍1609⊘=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍-2601⫸⊐⪎⋱⫍0=⪎⋱⫍596","layer":2},{"info":"⪎⋱⫍596⩠=⪎⋱⫍0","layer":1},{"info":"NaN⨽⪎⋱⫍0=NaN","layer":0}]}
{"id":424,"expression_no_base_symbol":"(((⇁⨣⪵$6173$)⨐⩸⫘(≤/$4639$))≎⊠⪸(⨈⫕($3514$≣⋋)))≹⇙⪍(($3889$⨸⪁$1583$)⋓($3820$⋥≓≎$1272$)/(≤/(⊙↵-$7204$)))","expression":"(((⇁⨣⪵⪎⋱⫍2A6B)⨐⩸⫘(≤/⪎⋱⫍215B))≎⊠⪸(⨈⫕(⪎⋱⫍17A4≣⋋)))≹⇙⪍((⪎⋱⫍1A02⨸⪁⪎⋱⫍94A)⋓(⪎⋱⫍197B⋥≓≎⪎⋱⫍76B)/(≤/(⊙↵-⪎⋱⫍3382)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":8188,"operation_count":13,"complexity_ratio":629.8461538461538,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":6173,"base":13}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":4639,"base":13}}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":3514,"base":13}}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":3889,"base":13},"right_expr":{"type":"numeric_atoms","value":1583,"base":13}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":3820,"base":13},"right_expr":{"type":"numeric_atoms","value":1272,"base":13}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":7204,"base":13}}}}},"used_operators":["AHs5Up7iyr","bJkvcejdHO","fu6greOZ01","inkyxCbjAn","eLAdDNolq6","megm06wKyl","Tcnh7f0tEr","XhwjNDsVaA","T2fj7uvVaJ","g55IO6H4Gj","Qy55tPpLXF","oWn0xqSxBt"],"dependent_operators":["dWAJyo7jo9","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","3ViojmjbAp","B5M0gjZbta","rysDP5nf3Z","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","rysDP5nf3Z","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=6173","layer":4},{"info":"compute unary expreesion, input=6173, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=4639","layer":4},{"info":"compute unary expreesion, input=4639, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-4155","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-4155, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=3514","layer":4},{"info":"compute unary expreesion, input=3514, 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 = 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 = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=nan","layer":1},{"info":"number node, value=3889","layer":4},{"info":"number node, value=1583","layer":4},{"info":"compute binary expreesion, left_input=3889, right_input=1583, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=10944","layer":3},{"info":"number node, value=3820","layer":4},{"info":"number node, value=1272","layer":4},{"info":"compute binary expreesion, left_input=3820, right_input=1272, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-1243","layer":3},{"info":"compute binary expreesion, left_input=10944, right_input=-1243, op_id = T2fj7uvVaJ binary_op_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=7204","layer":4},{"info":"compute unary expreesion, input=7204, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute unary expreesion, input=-1, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=485","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=485, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":13,"result_base":13,"text":"(((⇁⨣⪵⪎⋱⫍2A6B)⨐⩸⫘(≤/⪎⋱⫍215B))≎⊠⪸(⨈⫕(⪎⋱⫍17A4≣⋋)))≹⇙⪍((⪎⋱⫍1A02⨸⪁⪎⋱⫍94A)⋓(⪎⋱⫍197B⋥≓≎⪎⋱⫍76B)/(≤/(⊙↵-⪎⋱⫍3382)))=NaN","reverse_text":"NaN=(((⇁⨣⪵⪎⋱⫍2A6B)⨐⩸⫘(≤/⪎⋱⫍215B))≎⊠⪸(⨈⫕(⪎⋱⫍17A4≣⋋)))≹⇙⪍((⪎⋱⫍1A02⨸⪁⪎⋱⫍94A)⋓(⪎⋱⫍197B⋥≓≎⪎⋱⫍76B)/(≤/(⊙↵-⪎⋱⫍3382)))","cot":[{"info":"⇁⨣⪵⪎⋱⫍2A6B=NaN","layer":3},{"info":"≤/⪎⋱⫍215B=⪎⋱⫍-1B78","layer":3},{"info":"NaN⨐⩸⫘⪎⋱⫍-1B78=NaN","layer":2},{"info":"⪎⋱⫍17A4≣⋋=⪎⋱⫍0","layer":3},{"info":"⨈⫕⪎⋱⫍0=⪎⋱⫍-18","layer":2},{"info":"NaN≎⊠⪸⪎⋱⫍-18=NaN","layer":1},{"info":"⪎⋱⫍1A02⨸⪁⪎⋱⫍94A=⪎⋱⫍4C9B","layer":3},{"info":"⪎⋱⫍197B⋥≓≎⪎⋱⫍76B=⪎⋱⫍-748","layer":3},{"info":"⪎⋱⫍4C9B⋓⪎⋱⫍-748=⪎⋱⫍0","layer":2},{"info":"⊙↵-⪎⋱⫍3382=⪎⋱⫍-1","layer":3},{"info":"≤/⪎⋱⫍-1=⪎⋱⫍2B4","layer":2},{"info":"⪎⋱⫍0/⪎⋱⫍2B4=⪎⋱⫍0","layer":1},{"info":"NaN≹⇙⪍⪎⋱⫍0=NaN","layer":0}]}
{"id":425,"expression_no_base_symbol":"(($2375$⨸⪁$1636$)⫸⊐$1003$∑⇟⊟$5745$↪⪝)+($4759$≹⇙⪍$7031$⇼⇔∾$1433$+⇶⊼$1907$)⨐⩸⫘($1554$⪢$1587$-$1029$⨸⪁$2551$)","expression":"((⪎⋱⫍1109⨸⪁⪎⋱⫍98B)⫸⊐⪎⋱⫍5C2∑⇟⊟⪎⋱⫍27CC↪⪝)+(⪎⋱⫍2221≹⇙⪍⪎⋱⫍327B⇼⇔∾⪎⋱⫍863+⇶⊼⪎⋱⫍B39)⨐⩸⫘(⪎⋱⫍927⪢⪎⋱⫍951-⪎⋱⫍612⨸⪁⪎⋱⫍1213)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1628,"operation_count":12,"complexity_ratio":135.66666666666666,"tree":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2375,"base":13},"right_expr":{"type":"numeric_atoms","value":1636,"base":13}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1003,"base":13},"right_expr":{"type":"numeric_atoms","value":5745,"base":13}}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":4759,"base":13},"right_expr":{"type":"numeric_atoms","value":7031,"base":13}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1433,"base":13},"right_expr":{"type":"numeric_atoms","value":1907,"base":13}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1554,"base":13},"right_expr":{"type":"numeric_atoms","value":1587,"base":13}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1029,"base":13},"right_expr":{"type":"numeric_atoms","value":2551,"base":13}}}}},"used_operators":["W4YGzv6Whe","l07mrZUIn9","mqXw5SEYmG","g55IO6H4Gj","U7g4x0WXJJ","fu6greOZ01","tifHPKVTfV","AHs5Up7iyr","TpPTUOHfaN","rysDP5nf3Z","dWAJyo7jo9"],"dependent_operators":["9HNa5Wba9A","2DDjHMKMc0","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","AHs5Up7iyr","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2375","layer":4},{"info":"number node, value=1636","layer":4},{"info":"compute binary expreesion, left_input=2375, right_input=1636, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=8022","layer":3},{"info":"number node, value=1003","layer":4},{"info":"number node, value=5745","layer":4},{"info":"compute binary expreesion, left_input=1003, right_input=5745, 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=8022, 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 = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=nan","layer":1},{"info":"number node, value=4759","layer":4},{"info":"number node, value=7031","layer":4},{"info":"compute binary expreesion, left_input=4759, right_input=7031, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=1433","layer":4},{"info":"number node, value=1907","layer":4},{"info":"compute binary expreesion, left_input=1433, right_input=1907, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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 = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":2},{"info":"number node, value=1554","layer":4},{"info":"number node, value=1587","layer":4},{"info":"compute binary expreesion, left_input=1554, right_input=1587, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=1029","layer":4},{"info":"number node, value=2551","layer":4},{"info":"compute binary expreesion, left_input=1029, right_input=2551, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=7160","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=7160, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍1109⨸⪁⪎⋱⫍98B)⫸⊐⪎⋱⫍5C2∑⇟⊟⪎⋱⫍27CC↪⪝)+(⪎⋱⫍2221≹⇙⪍⪎⋱⫍327B⇼⇔∾⪎⋱⫍863+⇶⊼⪎⋱⫍B39)⨐⩸⫘(⪎⋱⫍927⪢⪎⋱⫍951-⪎⋱⫍612⨸⪁⪎⋱⫍1213)=NaN","reverse_text":"NaN=((⪎⋱⫍1109⨸⪁⪎⋱⫍98B)⫸⊐⪎⋱⫍5C2∑⇟⊟⪎⋱⫍27CC↪⪝)+(⪎⋱⫍2221≹⇙⪍⪎⋱⫍327B⇼⇔∾⪎⋱⫍863+⇶⊼⪎⋱⫍B39)⨐⩸⫘(⪎⋱⫍927⪢⪎⋱⫍951-⪎⋱⫍612⨸⪁⪎⋱⫍1213)","cot":[{"info":"⪎⋱⫍1109⨸⪁⪎⋱⫍98B=⪎⋱⫍3861","layer":3},{"info":"⪎⋱⫍5C2∑⇟⊟⪎⋱⫍27CC=NaN","layer":3},{"info":"⪎⋱⫍3861⫸⊐NaN=NaN","layer":2},{"info":"NaN↪⪝=NaN","layer":1},{"info":"⪎⋱⫍2221≹⇙⪍⪎⋱⫍327B=NaN","layer":3},{"info":"⪎⋱⫍863+⇶⊼⪎⋱⫍B39=NaN","layer":3},{"info":"NaN⇼⇔∾NaN=NaN","layer":2},{"info":"⪎⋱⫍927⪢⪎⋱⫍951=NaN","layer":3},{"info":"⪎⋱⫍612⨸⪁⪎⋱⫍1213=⪎⋱⫍334A","layer":3},{"info":"NaN-⪎⋱⫍334A=NaN","layer":2},{"info":"NaN⨐⩸⫘NaN=NaN","layer":1},{"info":"NaN+NaN=NaN","layer":0}]}
{"id":426,"expression_no_base_symbol":"($3656$≧⫂∧$2838$⨳⩥⨓(↯⪼$3093$)-($3730$+$1454$)⨸⪁$2440$⇷$4167$)↺(≉($2705$∑⇟⊟$2565$/(↥$5150$)))","expression":"(⪎⋱⫍1883≧⫂∧⪎⋱⫍13A4⨳⩥⨓(↯⪼⪎⋱⫍153C)-(⪎⋱⫍190C+⪎⋱⫍87B)⨸⪁⪎⋱⫍1159⇷⪎⋱⫍1B87)↺(≉(⪎⋱⫍1301∑⇟⊟⪎⋱⫍1224/(↥⪎⋱⫍2462)))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":34311,"operation_count":12,"complexity_ratio":2859.25,"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":3656,"base":13},"right_expr":{"type":"numeric_atoms","value":2838,"base":13}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":3093,"base":13}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":3730,"base":13},"right_expr":{"type":"numeric_atoms","value":1454,"base":13}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2440,"base":13},"right_expr":{"type":"numeric_atoms","value":4167,"base":13}}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":2705,"base":13},"right_expr":{"type":"numeric_atoms","value":2565,"base":13}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":5150,"base":13}}}}},"used_operators":["7j4O788W3g","rysDP5nf3Z","nCS4ZIUYfx","Ph9nP6C5qx","8jW3W4yZS5","g55IO6H4Gj","W4YGzv6Whe","mp7IySMOzn","e1ybzncUwg","XhwjNDsVaA","U7g4x0WXJJ","A8NUZmVepG"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","W4YGzv6Whe","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3656","layer":4},{"info":"number node, value=2838","layer":4},{"info":"compute binary expreesion, left_input=3656, right_input=2838, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2365","layer":3},{"info":"number node, value=3093","layer":4},{"info":"compute unary expreesion, input=3093, 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=2365, right_input=-21, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-2386","layer":2},{"info":"number node, value=3730","layer":4},{"info":"number node, value=1454","layer":4},{"info":"compute binary expreesion, left_input=3730, right_input=1454, op_id = W4YGzv6Whe binary_op_definition= 'None', output=5184","layer":3},{"info":"number node, value=2440","layer":4},{"info":"number node, value=4167","layer":4},{"info":"compute binary expreesion, left_input=2440, right_input=4167, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=8334","layer":3},{"info":"compute binary expreesion, left_input=5184, right_input=8334, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=27036","layer":2},{"info":"compute binary expreesion, left_input=-2386, right_input=27036, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-29422","layer":1},{"info":"number node, value=2705","layer":4},{"info":"number node, value=2565","layer":4},{"info":"compute binary expreesion, left_input=2705, right_input=2565, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=5150","layer":4},{"info":"compute unary expreesion, input=5150, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=50","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=50, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-29422, 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":13,"result_base":13,"text":"(⪎⋱⫍1883≧⫂∧⪎⋱⫍13A4⨳⩥⨓(↯⪼⪎⋱⫍153C)-(⪎⋱⫍190C+⪎⋱⫍87B)⨸⪁⪎⋱⫍1159⇷⪎⋱⫍1B87)↺(≉(⪎⋱⫍1301∑⇟⊟⪎⋱⫍1224/(↥⪎⋱⫍2462)))=NaN","reverse_text":"NaN=(⪎⋱⫍1883≧⫂∧⪎⋱⫍13A4⨳⩥⨓(↯⪼⪎⋱⫍153C)-(⪎⋱⫍190C+⪎⋱⫍87B)⨸⪁⪎⋱⫍1159⇷⪎⋱⫍1B87)↺(≉(⪎⋱⫍1301∑⇟⊟⪎⋱⫍1224/(↥⪎⋱⫍2462)))","cot":[{"info":"⪎⋱⫍1883≧⫂∧⪎⋱⫍13A4=⪎⋱⫍10CC","layer":3},{"info":"↯⪼⪎⋱⫍153C=⪎⋱⫍-18","layer":3},{"info":"⪎⋱⫍10CC⨳⩥⨓⪎⋱⫍-18=⪎⋱⫍-1117","layer":2},{"info":"⪎⋱⫍190C+⪎⋱⫍87B=⪎⋱⫍248A","layer":3},{"info":"⪎⋱⫍1159⇷⪎⋱⫍1B87=⪎⋱⫍3A41","layer":3},{"info":"⪎⋱⫍248A⨸⪁⪎⋱⫍3A41=⪎⋱⫍C3C9","layer":2},{"info":"⪎⋱⫍-1117-⪎⋱⫍C3C9=⪎⋱⫍-10513","layer":1},{"info":"⪎⋱⫍1301∑⇟⊟⪎⋱⫍1224=NaN","layer":3},{"info":"↥⪎⋱⫍2462=⪎⋱⫍3B","layer":3},{"info":"NaN/⪎⋱⫍3B=NaN","layer":2},{"info":"≉NaN=NaN","layer":1},{"info":"⪎⋱⫍-10513↺NaN=NaN","layer":0}]}
{"id":427,"expression_no_base_symbol":"(($1480$-$5318$)⋝⋈⪟$1013$∼$5702$⇼⇔∾(⪝⪂⫅(∥⊫$1400$)))↙($1429$≋⫹)⇷($3315$⋷$1200$)≎⊠⪸($1092$≦≮≮)↬($2409$⋓$3779$)","expression":"((⪎⋱⫍89B-⪎⋱⫍2561)⋝⋈⪟⪎⋱⫍5CC∼⪎⋱⫍2798⇼⇔∾(⪝⪂⫅(∥⊫⪎⋱⫍839)))↙(⪎⋱⫍85C≋⫹)⇷(⪎⋱⫍1680⋷⪎⋱⫍714)≎⊠⪸(⪎⋱⫍660≦≮≮)↬(⪎⋱⫍1134⋓⪎⋱⫍1949)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":40236,"operation_count":14,"complexity_ratio":2874.0,"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":1480,"base":13},"right_expr":{"type":"numeric_atoms","value":5318,"base":13}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1013,"base":13},"right_expr":{"type":"numeric_atoms","value":5702,"base":13}}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":1400,"base":13}}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":1429,"base":13}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":3315,"base":13},"right_expr":{"type":"numeric_atoms","value":1200,"base":13}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":1092,"base":13}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2409,"base":13},"right_expr":{"type":"numeric_atoms","value":3779,"base":13}}}}},"used_operators":["yyfyN0ffXY","tifHPKVTfV","2DDjHMKMc0","rysDP5nf3Z","DyGG3AbaNP","XTarYq4gQB","P8v4zCKN1o","bJkvcejdHO","mp7IySMOzn","N41Kp7NANJ","23Mk6UjR3U","B5M0gjZbta","D4vGDi5EA2","T2fj7uvVaJ"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","9HNa5Wba9A","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1480","layer":4},{"info":"number node, value=5318","layer":4},{"info":"compute binary expreesion, left_input=1480, right_input=5318, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-3838","layer":3},{"info":"number node, value=1013","layer":4},{"info":"number node, value=5702","layer":4},{"info":"compute binary expreesion, left_input=1013, right_input=5702, 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=-3838, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":2},{"info":"number node, value=1400","layer":4},{"info":"compute unary expreesion, input=1400, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2268","layer":3},{"info":"compute unary expreesion, input=2268, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-333396","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-333396, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":1},{"info":"number node, value=1429","layer":4},{"info":"compute unary expreesion, input=1429, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-2858","layer":3},{"info":"number node, value=3315","layer":4},{"info":"number node, value=1200","layer":4},{"info":"compute binary expreesion, left_input=3315, right_input=1200, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-915","layer":3},{"info":"compute binary expreesion, left_input=-2858, right_input=-915, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"number node, value=1092","layer":4},{"info":"compute unary expreesion, input=1092, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-3276","layer":3},{"info":"number node, value=2409","layer":4},{"info":"number node, value=3779","layer":4},{"info":"compute binary expreesion, left_input=2409, right_input=3779, op_id = T2fj7uvVaJ binary_op_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=-3276, right_input=0, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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 = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍89B-⪎⋱⫍2561)⋝⋈⪟⪎⋱⫍5CC∼⪎⋱⫍2798⇼⇔∾(⪝⪂⫅(∥⊫⪎⋱⫍839)))↙(⪎⋱⫍85C≋⫹)⇷(⪎⋱⫍1680⋷⪎⋱⫍714)≎⊠⪸(⪎⋱⫍660≦≮≮)↬(⪎⋱⫍1134⋓⪎⋱⫍1949)=NaN","reverse_text":"NaN=((⪎⋱⫍89B-⪎⋱⫍2561)⋝⋈⪟⪎⋱⫍5CC∼⪎⋱⫍2798⇼⇔∾(⪝⪂⫅(∥⊫⪎⋱⫍839)))↙(⪎⋱⫍85C≋⫹)⇷(⪎⋱⫍1680⋷⪎⋱⫍714)≎⊠⪸(⪎⋱⫍660≦≮≮)↬(⪎⋱⫍1134⋓⪎⋱⫍1949)","cot":[{"info":"⪎⋱⫍89B-⪎⋱⫍2561=⪎⋱⫍-1993","layer":3},{"info":"⪎⋱⫍5CC∼⪎⋱⫍2798=NaN","layer":3},{"info":"⪎⋱⫍-1993⋝⋈⪟NaN=NaN","layer":2},{"info":"∥⊫⪎⋱⫍839=⪎⋱⫍1056","layer":3},{"info":"⪝⪂⫅⪎⋱⫍1056=⪎⋱⫍-B899B","layer":2},{"info":"NaN⇼⇔∾⪎⋱⫍-B899B=NaN","layer":1},{"info":"⪎⋱⫍85C≋⫹=⪎⋱⫍-13BB","layer":3},{"info":"⪎⋱⫍1680⋷⪎⋱⫍714=⪎⋱⫍-555","layer":3},{"info":"⪎⋱⫍-13BB⇷⪎⋱⫍-555=NaN","layer":2},{"info":"⪎⋱⫍660≦≮≮=⪎⋱⫍-1650","layer":3},{"info":"⪎⋱⫍1134⋓⪎⋱⫍1949=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍-1650↬⪎⋱⫍0=NaN","layer":2},{"info":"NaN≎⊠⪸NaN=⪎⋱⫍52","layer":1},{"info":"NaN↙⪎⋱⫍52=NaN","layer":0}]}
{"id":428,"expression_no_base_symbol":"∂((⫛⫱⨽(↥$1600$))↙($1279$⪛$4012$)⨟⋌⩍($2313$⨪↰⇹$1760$))","expression":"∂((⫛⫱⨽(↥⪎⋱⫍961))↙(⪎⋱⫍775⪛⪎⋱⫍1A98)⨟⋌⩍(⪎⋱⫍108C⨪↰⇹⪎⋱⫍A55))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":3697,"operation_count":7,"complexity_ratio":528.1428571428571,"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":1600,"base":13}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1279,"base":13},"right_expr":{"type":"numeric_atoms","value":4012,"base":13}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2313,"base":13},"right_expr":{"type":"numeric_atoms","value":1760,"base":13}}}}},"used_operators":["Uaa54Peajs","yyfyN0ffXY","DlLNRPXxWL","A8NUZmVepG","rGHVDoGpnC","uFcxV4UQCh","tmPS8pqC7x"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","tmPS8pqC7x","DpFCA1CohY","rGHVDoGpnC","k8jYdgA6NY","Tcnh7f0tEr","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rJVOvQCfKK"],"result":"⪎⋱⫍-174","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1600","layer":4},{"info":"compute unary expreesion, input=1600, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=19","layer":3},{"info":"compute unary expreesion, input=19, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"number node, value=1279","layer":4},{"info":"number node, value=4012","layer":4},{"info":"compute binary expreesion, left_input=1279, right_input=4012, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1279","layer":3},{"info":"number node, value=2313","layer":4},{"info":"number node, value=1760","layer":4},{"info":"compute binary expreesion, left_input=2313, right_input=1760, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=2313","layer":3},{"info":"compute binary expreesion, left_input=1279, right_input=2313, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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 = 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 = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=-264","layer":0}],"base":13,"result_base":13,"text":"∂((⫛⫱⨽(↥⪎⋱⫍961))↙(⪎⋱⫍775⪛⪎⋱⫍1A98)⨟⋌⩍(⪎⋱⫍108C⨪↰⇹⪎⋱⫍A55))=⪎⋱⫍-174","reverse_text":"⪎⋱⫍-174=∂((⫛⫱⨽(↥⪎⋱⫍961))↙(⪎⋱⫍775⪛⪎⋱⫍1A98)⨟⋌⩍(⪎⋱⫍108C⨪↰⇹⪎⋱⫍A55))","cot":[{"info":"↥⪎⋱⫍961=⪎⋱⫍16","layer":3},{"info":"⫛⫱⨽⪎⋱⫍16=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍775⪛⪎⋱⫍1A98=⪎⋱⫍775","layer":3},{"info":"⪎⋱⫍108C⨪↰⇹⪎⋱⫍A55=⪎⋱⫍108C","layer":3},{"info":"⪎⋱⫍775⨟⋌⩍⪎⋱⫍108C=NaN","layer":2},{"info":"⪎⋱⫍0↙NaN=⪎⋱⫍0","layer":1},{"info":"∂⪎⋱⫍0=⪎⋱⫍-174","layer":0}]}
{"id":429,"expression_no_base_symbol":"(($3157$↺$2373$)∼(⊄⩳↩$1085$)⨵⪆(⪝⪂⫅$5374$)≧⫂∧($3406$⋓$1572$))⋓(($1607$⇋≉)⨐⩸⫘$8284$⨐⩸⫘$4636$)⨪↰⇹($3242$+⇶⊼$9217$)⊴($9011$⊭↱$3169$)","expression":"((⪎⋱⫍158B↺⪎⋱⫍1107)∼(⊄⩳↩⪎⋱⫍656)⨵⪆(⪝⪂⫅⪎⋱⫍25A5)≧⫂∧(⪎⋱⫍1720⋓⪎⋱⫍93C))⋓((⪎⋱⫍968⇋≉)⨐⩸⫘⪎⋱⫍3A03⨐⩸⫘⪎⋱⫍2158)⨪↰⇹(⪎⋱⫍1625+⇶⊼⪎⋱⫍4270)⊴(⪎⋱⫍4142⊭↱⪎⋱⫍159A)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":11929,"operation_count":15,"complexity_ratio":795.2666666666667,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":3157,"base":13},"right_expr":{"type":"numeric_atoms","value":2373,"base":13}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1085,"base":13}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":5374,"base":13}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":3406,"base":13},"right_expr":{"type":"numeric_atoms","value":1572,"base":13}}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":1607,"base":13}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":8284,"base":13},"right_expr":{"type":"numeric_atoms","value":4636,"base":13}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":3242,"base":13},"right_expr":{"type":"numeric_atoms","value":9217,"base":13}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":9011,"base":13},"right_expr":{"type":"numeric_atoms","value":3169,"base":13}}}}},"used_operators":["T2fj7uvVaJ","2DQ55sFlQl","DyGG3AbaNP","7j4O788W3g","8w2t5hMYqp","Ph9nP6C5qx","XTarYq4gQB","tmPS8pqC7x","fu6greOZ01","XIabStNQrY","Nsiff2A1zJ","TpPTUOHfaN","COABgblf1C"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","rJVOvQCfKK","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3157","layer":4},{"info":"number node, value=2373","layer":4},{"info":"compute binary expreesion, left_input=3157, right_input=2373, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2373","layer":3},{"info":"number node, value=1085","layer":4},{"info":"compute unary expreesion, input=1085, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-3255","layer":3},{"info":"compute binary expreesion, left_input=2373, right_input=-3255, 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=5374","layer":4},{"info":"compute unary expreesion, input=5374, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-789978","layer":3},{"info":"number node, value=3406","layer":4},{"info":"number node, value=1572","layer":4},{"info":"compute binary expreesion, left_input=3406, right_input=1572, op_id = T2fj7uvVaJ binary_op_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=-789978, right_input=0, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-473","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-473, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=1607","layer":4},{"info":"compute unary expreesion, input=1607, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=3116","layer":3},{"info":"number node, value=8284","layer":4},{"info":"number node, value=4636","layer":4},{"info":"compute binary expreesion, left_input=8284, right_input=4636, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=3116, 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=3242","layer":4},{"info":"number node, value=9217","layer":4},{"info":"compute binary expreesion, left_input=3242, right_input=9217, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=9011","layer":4},{"info":"number node, value=3169","layer":4},{"info":"compute binary expreesion, left_input=9011, right_input=3169, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-11679","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-11679, 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 = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((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=160, 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":13,"result_base":13,"text":"((⪎⋱⫍158B↺⪎⋱⫍1107)∼(⊄⩳↩⪎⋱⫍656)⨵⪆(⪝⪂⫅⪎⋱⫍25A5)≧⫂∧(⪎⋱⫍1720⋓⪎⋱⫍93C))⋓((⪎⋱⫍968⇋≉)⨐⩸⫘⪎⋱⫍3A03⨐⩸⫘⪎⋱⫍2158)⨪↰⇹(⪎⋱⫍1625+⇶⊼⪎⋱⫍4270)⊴(⪎⋱⫍4142⊭↱⪎⋱⫍159A)=NaN","reverse_text":"NaN=((⪎⋱⫍158B↺⪎⋱⫍1107)∼(⊄⩳↩⪎⋱⫍656)⨵⪆(⪝⪂⫅⪎⋱⫍25A5)≧⫂∧(⪎⋱⫍1720⋓⪎⋱⫍93C))⋓((⪎⋱⫍968⇋≉)⨐⩸⫘⪎⋱⫍3A03⨐⩸⫘⪎⋱⫍2158)⨪↰⇹(⪎⋱⫍1625+⇶⊼⪎⋱⫍4270)⊴(⪎⋱⫍4142⊭↱⪎⋱⫍159A)","cot":[{"info":"⪎⋱⫍158B↺⪎⋱⫍1107=⪎⋱⫍1107","layer":3},{"info":"⊄⩳↩⪎⋱⫍656=⪎⋱⫍-1635","layer":3},{"info":"⪎⋱⫍1107∼⪎⋱⫍-1635=NaN","layer":2},{"info":"⪝⪂⫅⪎⋱⫍25A5=⪎⋱⫍-218757","layer":3},{"info":"⪎⋱⫍1720⋓⪎⋱⫍93C=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍-218757≧⫂∧⪎⋱⫍0=⪎⋱⫍-2A5","layer":2},{"info":"NaN⨵⪆⪎⋱⫍-2A5=⪎⋱⫍C4","layer":1},{"info":"⪎⋱⫍968⇋≉=⪎⋱⫍1559","layer":3},{"info":"⪎⋱⫍3A03⨐⩸⫘⪎⋱⫍2158=NaN","layer":3},{"info":"⪎⋱⫍1559⨐⩸⫘NaN=NaN","layer":2},{"info":"⪎⋱⫍1625+⇶⊼⪎⋱⫍4270=NaN","layer":3},{"info":"⪎⋱⫍4142⊭↱⪎⋱⫍159A=⪎⋱⫍-5415","layer":3},{"info":"NaN⊴⪎⋱⫍-5415=NaN","layer":2},{"info":"NaN⨪↰⇹NaN=NaN","layer":1},{"info":"⪎⋱⫍C4⋓NaN=NaN","layer":0}]}
{"id":430,"expression_no_base_symbol":"(-$3067$⩨$3482$⇼⇔∾(-$1556$))⋓(((⪝⪂⫅$1077$)%($3069$+$1517$))⨳⩥⨓(($4712$≋⫹)⪄$1059$∑⇟⊟$1036$))","expression":"(-⪎⋱⫍151C⩨⪎⋱⫍177B⇼⇔∾(-⪎⋱⫍929))⋓(((⪝⪂⫅⪎⋱⫍64B)%(⪎⋱⫍1521+⪎⋱⫍8C9))⨳⩥⨓((⪎⋱⫍21B6≋⫹)⪄⪎⋱⫍636∑⇟⊟⪎⋱⫍619))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":305,"operation_count":12,"complexity_ratio":25.416666666666668,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":3067,"base":13},"right_expr":{"type":"numeric_atoms","value":3482,"base":13}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1556,"base":13}}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":1077,"base":13}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":3069,"base":13},"right_expr":{"type":"numeric_atoms","value":1517,"base":13}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":4712,"base":13}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1059,"base":13},"right_expr":{"type":"numeric_atoms","value":1036,"base":13}}}}},"used_operators":["T2fj7uvVaJ","t8gj7n24qd","tifHPKVTfV","2DlMacCsIx","nCS4ZIUYfx","k8jYdgA6NY","XTarYq4gQB","W4YGzv6Whe","SUmda5xLS4","N41Kp7NANJ","U7g4x0WXJJ"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","9HNa5Wba9A","8w2t5hMYqp","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3067","layer":4},{"info":"number node, value=3482","layer":4},{"info":"compute binary expreesion, left_input=3067, right_input=3482, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":3},{"info":"number node, value=1556","layer":4},{"info":"compute unary expreesion, input=1556, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1556","layer":3},{"info":"compute binary expreesion, left_input=-3, right_input=-1556, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-1553","layer":2},{"info":"compute unary expreesion, input=-1553, op_id = t8gj7n24qd, unary_op_definition = 'None', output=1553","layer":1},{"info":"number node, value=1077","layer":4},{"info":"compute unary expreesion, input=1077, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-158319","layer":3},{"info":"number node, value=3069","layer":4},{"info":"number node, value=1517","layer":4},{"info":"compute binary expreesion, left_input=3069, right_input=1517, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4586","layer":3},{"info":"compute binary expreesion, left_input=-158319, right_input=4586, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2191","layer":2},{"info":"number node, value=4712","layer":4},{"info":"compute unary expreesion, input=4712, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-9424","layer":3},{"info":"number node, value=1059","layer":4},{"info":"number node, value=1036","layer":4},{"info":"compute binary expreesion, left_input=1059, right_input=1036, 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=-9424, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":2},{"info":"compute binary expreesion, left_input=2191, right_input=3979, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=1788","layer":1},{"info":"compute binary expreesion, left_input=1553, right_input=1788, op_id = T2fj7uvVaJ binary_op_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":13,"result_base":13,"text":"(-⪎⋱⫍151C⩨⪎⋱⫍177B⇼⇔∾(-⪎⋱⫍929))⋓(((⪝⪂⫅⪎⋱⫍64B)%(⪎⋱⫍1521+⪎⋱⫍8C9))⨳⩥⨓((⪎⋱⫍21B6≋⫹)⪄⪎⋱⫍636∑⇟⊟⪎⋱⫍619))=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=(-⪎⋱⫍151C⩨⪎⋱⫍177B⇼⇔∾(-⪎⋱⫍929))⋓(((⪝⪂⫅⪎⋱⫍64B)%(⪎⋱⫍1521+⪎⋱⫍8C9))⨳⩥⨓((⪎⋱⫍21B6≋⫹)⪄⪎⋱⫍636∑⇟⊟⪎⋱⫍619))","cot":[{"info":"⪎⋱⫍151C⩨⪎⋱⫍177B=⪎⋱⫍-3","layer":3},{"info":"-⪎⋱⫍929=⪎⋱⫍-929","layer":3},{"info":"⪎⋱⫍-3⇼⇔∾⪎⋱⫍-929=⪎⋱⫍-926","layer":2},{"info":"-⪎⋱⫍-926=⪎⋱⫍926","layer":1},{"info":"⪝⪂⫅⪎⋱⫍64B=⪎⋱⫍-570A5","layer":3},{"info":"⪎⋱⫍1521+⪎⋱⫍8C9=⪎⋱⫍211A","layer":3},{"info":"⪎⋱⫍-570A5%⪎⋱⫍211A=⪎⋱⫍CC7","layer":2},{"info":"⪎⋱⫍21B6≋⫹=⪎⋱⫍-439C","layer":3},{"info":"⪎⋱⫍636∑⇟⊟⪎⋱⫍619=NaN","layer":3},{"info":"⪎⋱⫍-439C⪄NaN=⪎⋱⫍1A71","layer":2},{"info":"⪎⋱⫍CC7⨳⩥⨓⪎⋱⫍1A71=⪎⋱⫍A77","layer":1},{"info":"⪎⋱⫍926⋓⪎⋱⫍A77=⪎⋱⫍0","layer":0}]}
{"id":431,"expression_no_base_symbol":"(+⊝⨔($3386$⇷$3765$⋝⋈⪟($1110$⩚⊴⇥$3648$)))⨪↰⇹(↥$4261$∼$1098$⨓(↔$4120$))","expression":"(+⊝⨔(⪎⋱⫍1706⇷⪎⋱⫍1938⋝⋈⪟(⪎⋱⫍675⩚⊴⇥⪎⋱⫍1878)))⨪↰⇹(↥⪎⋱⫍1C2A∼⪎⋱⫍666⨓(↔⪎⋱⫍1B4C))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":52998,"operation_count":9,"complexity_ratio":5888.666666666667,"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":3386,"base":13},"right_expr":{"type":"numeric_atoms","value":3765,"base":13}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1110,"base":13},"right_expr":{"type":"numeric_atoms","value":3648,"base":13}}}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":4261,"base":13},"right_expr":{"type":"numeric_atoms","value":1098,"base":13}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":4120,"base":13}}}}},"used_operators":["tmPS8pqC7x","DhbWaqg5eL","2DDjHMKMc0","mp7IySMOzn","NTOWxs364D","A8NUZmVepG","3ViojmjbAp","DyGG3AbaNP","ruOEQAzv1W"],"dependent_operators":["rJVOvQCfKK","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","k8jYdgA6NY","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp"],"result":"⪎⋱⫍901","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3386","layer":4},{"info":"number node, value=3765","layer":4},{"info":"compute binary expreesion, left_input=3386, right_input=3765, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=7530","layer":3},{"info":"number node, value=1110","layer":4},{"info":"number node, value=3648","layer":4},{"info":"compute binary expreesion, left_input=1110, right_input=3648, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4879","layer":3},{"info":"compute binary expreesion, left_input=7530, right_input=-4879, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=7530","layer":2},{"info":"compute unary expreesion, input=7530, 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=4261","layer":4},{"info":"number node, value=1098","layer":4},{"info":"compute binary expreesion, left_input=4261, right_input=1098, 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=4120","layer":4},{"info":"compute unary expreesion, input=4120, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-3847","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3847, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3850","layer":2},{"info":"compute unary expreesion, input=-3850, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=26","layer":1},{"info":"compute binary expreesion, left_input=1522, right_input=26, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1522","layer":0}],"base":13,"result_base":13,"text":"(+⊝⨔(⪎⋱⫍1706⇷⪎⋱⫍1938⋝⋈⪟(⪎⋱⫍675⩚⊴⇥⪎⋱⫍1878)))⨪↰⇹(↥⪎⋱⫍1C2A∼⪎⋱⫍666⨓(↔⪎⋱⫍1B4C))=⪎⋱⫍901","reverse_text":"⪎⋱⫍901=(+⊝⨔(⪎⋱⫍1706⇷⪎⋱⫍1938⋝⋈⪟(⪎⋱⫍675⩚⊴⇥⪎⋱⫍1878)))⨪↰⇹(↥⪎⋱⫍1C2A∼⪎⋱⫍666⨓(↔⪎⋱⫍1B4C))","cot":[{"info":"⪎⋱⫍1706⇷⪎⋱⫍1938=⪎⋱⫍3573","layer":3},{"info":"⪎⋱⫍675⩚⊴⇥⪎⋱⫍1878=⪎⋱⫍-22B4","layer":3},{"info":"⪎⋱⫍3573⋝⋈⪟⪎⋱⫍-22B4=⪎⋱⫍3573","layer":2},{"info":"+⊝⨔⪎⋱⫍3573=⪎⋱⫍901","layer":1},{"info":"⪎⋱⫍1C2A∼⪎⋱⫍666=NaN","layer":3},{"info":"↔⪎⋱⫍1B4C=⪎⋱⫍-199C","layer":3},{"info":"NaN⨓⪎⋱⫍-199C=⪎⋱⫍-19A2","layer":2},{"info":"↥⪎⋱⫍-19A2=⪎⋱⫍20","layer":1},{"info":"⪎⋱⫍901⨪↰⇹⪎⋱⫍20=⪎⋱⫍901","layer":0}]}
{"id":432,"expression_no_base_symbol":"⨞⊢(($4528$⨓$1201$)↬($5403$⋫)/(⨰⫟⨤(∥⊫$2224$)))","expression":"⨞⊢((⪎⋱⫍20A4⨓⪎⋱⫍715)↬(⪎⋱⫍25C8⋫)/(⨰⫟⨤(∥⊫⪎⋱⫍1021)))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":18146,"operation_count":7,"complexity_ratio":2592.285714285714,"tree":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":4528,"base":13},"right_expr":{"type":"numeric_atoms","value":1201,"base":13}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":5403,"base":13}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":2224,"base":13}}}}},"used_operators":["xUOZtlo3hN","XhwjNDsVaA","B5M0gjZbta","3ViojmjbAp","JL8yIekQnl","Tw270M8GLb","P8v4zCKN1o"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rGHVDoGpnC","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","tmPS8pqC7x","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=4528","layer":4},{"info":"number node, value=1201","layer":4},{"info":"compute binary expreesion, left_input=4528, right_input=1201, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1204","layer":3},{"info":"number node, value=5403","layer":4},{"info":"compute unary expreesion, input=5403, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=5403","layer":3},{"info":"compute binary expreesion, left_input=-1204, right_input=5403, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=2224","layer":4},{"info":"compute unary expreesion, input=2224, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=3092","layer":3},{"info":"compute unary expreesion, input=3092, 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 = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⨞⊢((⪎⋱⫍20A4⨓⪎⋱⫍715)↬(⪎⋱⫍25C8⋫)/(⨰⫟⨤(∥⊫⪎⋱⫍1021)))=NaN","reverse_text":"NaN=⨞⊢((⪎⋱⫍20A4⨓⪎⋱⫍715)↬(⪎⋱⫍25C8⋫)/(⨰⫟⨤(∥⊫⪎⋱⫍1021)))","cot":[{"info":"⪎⋱⫍20A4⨓⪎⋱⫍715=⪎⋱⫍-718","layer":3},{"info":"⪎⋱⫍25C8⋫=⪎⋱⫍25C8","layer":3},{"info":"⪎⋱⫍-718↬⪎⋱⫍25C8=NaN","layer":2},{"info":"∥⊫⪎⋱⫍1021=⪎⋱⫍153B","layer":3},{"info":"⨰⫟⨤⪎⋱⫍153B=NaN","layer":2},{"info":"NaN/NaN=NaN","layer":1},{"info":"⨞⊢NaN=NaN","layer":0}]}
{"id":433,"expression_no_base_symbol":"($2839$⊴$1640$≭($2190$⋫))⨰($1904$⩷∴$1334$⊉≛↸$5936$⋳⪒$4039$)⫡⨏($4348$⪛$6729$⋝⋈⪟($1123$⋓$2991$))↬($1583$⋓$9224$)⪢$1185$⨟⋌⩍$1031$","expression":"(⪎⋱⫍13A5⊴⪎⋱⫍992≭(⪎⋱⫍CC6⋫))⨰(⪎⋱⫍B36⩷∴⪎⋱⫍7B8⊉≛↸⪎⋱⫍2918⋳⪒⪎⋱⫍1AB9)⫡⨏(⪎⋱⫍1C96⪛⪎⋱⫍30A8⋝⋈⪟(⪎⋱⫍685⋓⪎⋱⫍1491))↬(⪎⋱⫍94A⋓⪎⋱⫍4277)⪢⪎⋱⫍702⨟⋌⩍⪎⋱⫍614","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":7415,"operation_count":15,"complexity_ratio":494.3333333333333,"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":2839,"base":13},"right_expr":{"type":"numeric_atoms","value":1640,"base":13}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":2190,"base":13}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1904,"base":13},"right_expr":{"type":"numeric_atoms","value":1334,"base":13}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":5936,"base":13},"right_expr":{"type":"numeric_atoms","value":4039,"base":13}}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":4348,"base":13},"right_expr":{"type":"numeric_atoms","value":6729,"base":13}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1123,"base":13},"right_expr":{"type":"numeric_atoms","value":2991,"base":13}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1583,"base":13},"right_expr":{"type":"numeric_atoms","value":9224,"base":13}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1185,"base":13},"right_expr":{"type":"numeric_atoms","value":1031,"base":13}}}}},"used_operators":["QMFrweE19q","eewbuw0ToL","rxpJgHHUmx","Nsiff2A1zJ","JL8yIekQnl","DZ8iAZOCBD","9FxExcQeMw","12rbrZMWeM","B5M0gjZbta","2DDjHMKMc0","uFcxV4UQCh","T2fj7uvVaJ","dWAJyo7jo9","rGHVDoGpnC"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","dWAJyo7jo9","14qkJME0vr","tmPS8pqC7x","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","k8jYdgA6NY","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2839","layer":4},{"info":"number node, value=1640","layer":4},{"info":"compute binary expreesion, left_input=2839, right_input=1640, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=2190","layer":4},{"info":"compute unary expreesion, input=2190, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=2190","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2190, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=1904","layer":4},{"info":"number node, value=1334","layer":4},{"info":"compute binary expreesion, left_input=1904, right_input=1334, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=1108","layer":3},{"info":"number node, value=5936","layer":4},{"info":"number node, value=4039","layer":4},{"info":"compute binary expreesion, left_input=5936, right_input=4039, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=7546","layer":3},{"info":"compute binary expreesion, left_input=1108, right_input=7546, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2216","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=2216, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":1},{"info":"number node, value=4348","layer":4},{"info":"number node, value=6729","layer":4},{"info":"compute binary expreesion, left_input=4348, right_input=6729, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=4348","layer":3},{"info":"number node, value=1123","layer":4},{"info":"number node, value=2991","layer":4},{"info":"compute binary expreesion, left_input=1123, right_input=2991, op_id = T2fj7uvVaJ binary_op_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=4348, right_input=0, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=4348","layer":2},{"info":"number node, value=1583","layer":4},{"info":"number node, value=9224","layer":4},{"info":"compute binary expreesion, left_input=1583, right_input=9224, op_id = T2fj7uvVaJ binary_op_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=1185","layer":4},{"info":"number node, value=1031","layer":4},{"info":"compute binary expreesion, left_input=1185, right_input=1031, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":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 binary expreesion, left_input=4348, 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 = 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":13,"result_base":13,"text":"(⪎⋱⫍13A5⊴⪎⋱⫍992≭(⪎⋱⫍CC6⋫))⨰(⪎⋱⫍B36⩷∴⪎⋱⫍7B8⊉≛↸⪎⋱⫍2918⋳⪒⪎⋱⫍1AB9)⫡⨏(⪎⋱⫍1C96⪛⪎⋱⫍30A8⋝⋈⪟(⪎⋱⫍685⋓⪎⋱⫍1491))↬(⪎⋱⫍94A⋓⪎⋱⫍4277)⪢⪎⋱⫍702⨟⋌⩍⪎⋱⫍614=NaN","reverse_text":"NaN=(⪎⋱⫍13A5⊴⪎⋱⫍992≭(⪎⋱⫍CC6⋫))⨰(⪎⋱⫍B36⩷∴⪎⋱⫍7B8⊉≛↸⪎⋱⫍2918⋳⪒⪎⋱⫍1AB9)⫡⨏(⪎⋱⫍1C96⪛⪎⋱⫍30A8⋝⋈⪟(⪎⋱⫍685⋓⪎⋱⫍1491))↬(⪎⋱⫍94A⋓⪎⋱⫍4277)⪢⪎⋱⫍702⨟⋌⩍⪎⋱⫍614","cot":[{"info":"⪎⋱⫍13A5⊴⪎⋱⫍992=NaN","layer":3},{"info":"⪎⋱⫍CC6⋫=⪎⋱⫍CC6","layer":3},{"info":"NaN≭⪎⋱⫍CC6=NaN","layer":2},{"info":"⪎⋱⫍B36⩷∴⪎⋱⫍7B8=⪎⋱⫍673","layer":3},{"info":"⪎⋱⫍2918⋳⪒⪎⋱⫍1AB9=⪎⋱⫍3586","layer":3},{"info":"⪎⋱⫍673⊉≛↸⪎⋱⫍3586=⪎⋱⫍1016","layer":2},{"info":"NaN⨰⪎⋱⫍1016=NaN","layer":1},{"info":"⪎⋱⫍1C96⪛⪎⋱⫍30A8=⪎⋱⫍1C96","layer":3},{"info":"⪎⋱⫍685⋓⪎⋱⫍1491=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍1C96⋝⋈⪟⪎⋱⫍0=⪎⋱⫍1C96","layer":2},{"info":"⪎⋱⫍94A⋓⪎⋱⫍4277=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍702⨟⋌⩍⪎⋱⫍614=NaN","layer":3},{"info":"⪎⋱⫍0⪢NaN=NaN","layer":2},{"info":"⪎⋱⫍1C96↬NaN=NaN","layer":1},{"info":"NaN⫡⨏NaN=NaN","layer":0}]}
{"id":434,"expression_no_base_symbol":"⨵≀≌($5973$≫≃)≭(≦∁$1171$)⫥∨⫟(≤/$1359$⨐⩸⫘$1066$)","expression":"⨵≀≌(⪎⋱⫍2946≫≃)≭(≦∁⪎⋱⫍6C1)⫥∨⫟(≤/⪎⋱⫍807⨐⩸⫘⪎⋱⫍640)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":168,"operation_count":7,"complexity_ratio":24.0,"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":5973,"base":13}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":1171,"base":13}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1359,"base":13},"right_expr":{"type":"numeric_atoms","value":1066,"base":13}}}}},"used_operators":["srAu1WTS94","KYD54nUTWz","rxpJgHHUmx","X99M06cbEe","9ICcGScMcE","eLAdDNolq6","fu6greOZ01"],"dependent_operators":["glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","8HhzD0ZcuI","rGHVDoGpnC","AHs5Up7iyr","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=5973","layer":4},{"info":"compute unary expreesion, input=5973, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=13347","layer":3},{"info":"number node, value=1171","layer":4},{"info":"compute unary expreesion, input=1171, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1171","layer":3},{"info":"compute binary expreesion, left_input=13347, 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":2},{"info":"number node, value=1359","layer":4},{"info":"number node, value=1066","layer":4},{"info":"compute binary expreesion, left_input=1359, right_input=1066, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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 = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⨵≀≌(⪎⋱⫍2946≫≃)≭(≦∁⪎⋱⫍6C1)⫥∨⫟(≤/⪎⋱⫍807⨐⩸⫘⪎⋱⫍640)=NaN","reverse_text":"NaN=⨵≀≌(⪎⋱⫍2946≫≃)≭(≦∁⪎⋱⫍6C1)⫥∨⫟(≤/⪎⋱⫍807⨐⩸⫘⪎⋱⫍640)","cot":[{"info":"⪎⋱⫍2946≫≃=⪎⋱⫍60C9","layer":3},{"info":"≦∁⪎⋱⫍6C1=⪎⋱⫍6C1","layer":3},{"info":"⪎⋱⫍60C9≭⪎⋱⫍6C1=NaN","layer":2},{"info":"⪎⋱⫍807⨐⩸⫘⪎⋱⫍640=NaN","layer":3},{"info":"≤/NaN=NaN","layer":2},{"info":"NaN⫥∨⫟NaN=NaN","layer":1},{"info":"⨵≀≌NaN=NaN","layer":0}]}
{"id":435,"expression_no_base_symbol":"((⨈⫕$2528$⨪↰⇹$1946$)/($1081$⊴$4656$)≹⇙⪍($2304$⪘⫢$3492$))↛⩡⫤","expression":"((⨈⫕⪎⋱⫍11C6⨪↰⇹⪎⋱⫍B69)/(⪎⋱⫍652⊴⪎⋱⫍2172)≹⇙⪍(⪎⋱⫍1083⪘⫢⪎⋱⫍1788))↛⩡⫤","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":7656,"operation_count":7,"complexity_ratio":1093.7142857142858,"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":2528,"base":13},"right_expr":{"type":"numeric_atoms","value":1946,"base":13}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1081,"base":13},"right_expr":{"type":"numeric_atoms","value":4656,"base":13}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2304,"base":13},"right_expr":{"type":"numeric_atoms","value":3492,"base":13}}}}},"used_operators":["FU0Cs4j7VP","XhwjNDsVaA","megm06wKyl","tmPS8pqC7x","AHs5Up7iyr","Nsiff2A1zJ","oacrs7FA3X"],"dependent_operators":["8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","rysDP5nf3Z","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rJVOvQCfKK","dWAJyo7jo9","dWAJyo7jo9","14qkJME0vr","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2528","layer":4},{"info":"number node, value=1946","layer":4},{"info":"compute binary expreesion, left_input=2528, right_input=1946, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=2528","layer":3},{"info":"compute unary expreesion, input=2528, 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=1081","layer":4},{"info":"number node, value=4656","layer":4},{"info":"compute binary expreesion, left_input=1081, right_input=4656, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=2304","layer":4},{"info":"number node, value=3492","layer":4},{"info":"compute binary expreesion, left_input=2304, right_input=3492, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=4484","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4484, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 = XhwjNDsVaA binary_op_definition= 'None', 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":13,"result_base":13,"text":"((⨈⫕⪎⋱⫍11C6⨪↰⇹⪎⋱⫍B69)/(⪎⋱⫍652⊴⪎⋱⫍2172)≹⇙⪍(⪎⋱⫍1083⪘⫢⪎⋱⫍1788))↛⩡⫤=NaN","reverse_text":"NaN=((⨈⫕⪎⋱⫍11C6⨪↰⇹⪎⋱⫍B69)/(⪎⋱⫍652⊴⪎⋱⫍2172)≹⇙⪍(⪎⋱⫍1083⪘⫢⪎⋱⫍1788))↛⩡⫤","cot":[{"info":"⪎⋱⫍11C6⨪↰⇹⪎⋱⫍B69=⪎⋱⫍11C6","layer":3},{"info":"⨈⫕⪎⋱⫍11C6=⪎⋱⫍-18","layer":2},{"info":"⪎⋱⫍652⊴⪎⋱⫍2172=NaN","layer":3},{"info":"⪎⋱⫍1083⪘⫢⪎⋱⫍1788=⪎⋱⫍206C","layer":3},{"info":"NaN≹⇙⪍⪎⋱⫍206C=NaN","layer":2},{"info":"⪎⋱⫍-18/NaN=NaN","layer":1},{"info":"NaN↛⩡⫤=NaN","layer":0}]}
{"id":436,"expression_no_base_symbol":"(⨰⫟⨤(↥$1552$+⇶⊼$2151$))⪛(($4114$⊭↱$2838$)⪘⫢(⋗⩬⋾$7847$)≧⫂∧(($1388$⨵⪆$4499$)⨎$1401$≹⇙⪍$9265$))","expression":"(⨰⫟⨤(↥⪎⋱⫍925+⇶⊼⪎⋱⫍C96))⪛((⪎⋱⫍1B46⊭↱⪎⋱⫍13A4)⪘⫢(⋗⩬⋾⪎⋱⫍3758)≧⫂∧((⪎⋱⫍82A⨵⪆⪎⋱⫍2081)⨎⪎⋱⫍83A≹⇙⪍⪎⋱⫍42A9))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":57,"operation_count":11,"complexity_ratio":5.181818181818182,"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":1552,"base":13},"right_expr":{"type":"numeric_atoms","value":2151,"base":13}}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":4114,"base":13},"right_expr":{"type":"numeric_atoms","value":2838,"base":13}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":7847,"base":13}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1388,"base":13},"right_expr":{"type":"numeric_atoms","value":4499,"base":13}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1401,"base":13},"right_expr":{"type":"numeric_atoms","value":9265,"base":13}}}}},"used_operators":["uFcxV4UQCh","Tw270M8GLb","A8NUZmVepG","TpPTUOHfaN","Ph9nP6C5qx","oacrs7FA3X","COABgblf1C","DpFCA1CohY","rJVOvQCfKK","2DQ55sFlQl","AHs5Up7iyr"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","k8jYdgA6NY","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1552","layer":4},{"info":"number node, value=2151","layer":4},{"info":"compute binary expreesion, left_input=1552, right_input=2151, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=nan","layer":2},{"info":"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=4114","layer":4},{"info":"number node, value=2838","layer":4},{"info":"compute binary expreesion, left_input=4114, right_input=2838, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-2547","layer":3},{"info":"number node, value=7847","layer":4},{"info":"compute unary expreesion, input=7847, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-23541","layer":3},{"info":"compute binary expreesion, left_input=-2547, right_input=-23541, 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=1388","layer":4},{"info":"number node, value=4499","layer":4},{"info":"compute binary expreesion, left_input=1388, right_input=4499, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=1401","layer":4},{"info":"number node, value=9265","layer":4},{"info":"compute binary expreesion, left_input=1401, right_input=9265, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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 = 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=-1, 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 = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⨰⫟⨤(↥⪎⋱⫍925+⇶⊼⪎⋱⫍C96))⪛((⪎⋱⫍1B46⊭↱⪎⋱⫍13A4)⪘⫢(⋗⩬⋾⪎⋱⫍3758)≧⫂∧((⪎⋱⫍82A⨵⪆⪎⋱⫍2081)⨎⪎⋱⫍83A≹⇙⪍⪎⋱⫍42A9))=NaN","reverse_text":"NaN=(⨰⫟⨤(↥⪎⋱⫍925+⇶⊼⪎⋱⫍C96))⪛((⪎⋱⫍1B46⊭↱⪎⋱⫍13A4)⪘⫢(⋗⩬⋾⪎⋱⫍3758)≧⫂∧((⪎⋱⫍82A⨵⪆⪎⋱⫍2081)⨎⪎⋱⫍83A≹⇙⪍⪎⋱⫍42A9))","cot":[{"info":"⪎⋱⫍925+⇶⊼⪎⋱⫍C96=NaN","layer":3},{"info":"↥NaN=NaN","layer":2},{"info":"⨰⫟⨤NaN=NaN","layer":1},{"info":"⪎⋱⫍1B46⊭↱⪎⋱⫍13A4=⪎⋱⫍-120C","layer":3},{"info":"⋗⩬⋾⪎⋱⫍3758=⪎⋱⫍-A93B","layer":3},{"info":"⪎⋱⫍-120C⪘⫢⪎⋱⫍-A93B=⪎⋱⫍-1","layer":2},{"info":"⪎⋱⫍82A⨵⪆⪎⋱⫍2081=⪎⋱⫍C4","layer":3},{"info":"⪎⋱⫍83A≹⇙⪍⪎⋱⫍42A9=NaN","layer":3},{"info":"⪎⋱⫍C4⨎NaN=NaN","layer":2},{"info":"⪎⋱⫍-1≧⫂∧NaN=NaN","layer":1},{"info":"NaN⪛NaN=NaN","layer":0}]}
{"id":437,"expression_no_base_symbol":"($7343$⋝⋈⪟$2055$↺$1539$+⇶⊼$1446$↙(($2718$⫸⊐$1489$)≫≃))⨪↰⇹($1037$⪘⫢$8815$⋳⪒($7432$⋷$2252$)⫡⨏(⨵≀≌($2312$⫡⨏$3756$)))","expression":"(⪎⋱⫍345B⋝⋈⪟⪎⋱⫍C21↺⪎⋱⫍915+⇶⊼⪎⋱⫍873↙((⪎⋱⫍1311⫸⊐⪎⋱⫍8A7)≫≃))⨪↰⇹(⪎⋱⫍61A⪘⫢⪎⋱⫍4021⋳⪒(⪎⋱⫍34C9⋷⪎⋱⫍1043)⫡⨏(⨵≀≌(⪎⋱⫍108B⫡⨏⪎⋱⫍192C)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":81,"operation_count":13,"complexity_ratio":6.230769230769231,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":7343,"base":13},"right_expr":{"type":"numeric_atoms","value":2055,"base":13}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1539,"base":13},"right_expr":{"type":"numeric_atoms","value":1446,"base":13}}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2718,"base":13},"right_expr":{"type":"numeric_atoms","value":1489,"base":13}}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1037,"base":13},"right_expr":{"type":"numeric_atoms","value":8815,"base":13}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":7432,"base":13},"right_expr":{"type":"numeric_atoms","value":2252,"base":13}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2312,"base":13},"right_expr":{"type":"numeric_atoms","value":3756,"base":13}}}}},"used_operators":["tmPS8pqC7x","yyfyN0ffXY","7j4O788W3g","2DDjHMKMc0","TpPTUOHfaN","X99M06cbEe","mqXw5SEYmG","QMFrweE19q","12rbrZMWeM","oacrs7FA3X","23Mk6UjR3U","srAu1WTS94"],"dependent_operators":["rJVOvQCfKK","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=7343","layer":4},{"info":"number node, value=2055","layer":4},{"info":"compute binary expreesion, left_input=7343, right_input=2055, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=7343","layer":3},{"info":"number node, value=1539","layer":4},{"info":"number node, value=1446","layer":4},{"info":"compute binary expreesion, left_input=1539, 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":"compute binary expreesion, left_input=7343, 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=2718","layer":4},{"info":"number node, value=1489","layer":4},{"info":"compute binary expreesion, left_input=2718, right_input=1489, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=5831","layer":3},{"info":"compute unary expreesion, input=5831, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=13063","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=13063, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":1},{"info":"number node, value=1037","layer":4},{"info":"number node, value=8815","layer":4},{"info":"compute binary expreesion, left_input=1037, right_input=8815, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=1950","layer":3},{"info":"number node, value=7432","layer":4},{"info":"number node, value=2252","layer":4},{"info":"compute binary expreesion, left_input=7432, right_input=2252, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-2928","layer":3},{"info":"compute binary expreesion, left_input=1950, right_input=-2928, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=6541","layer":2},{"info":"number node, value=2312","layer":4},{"info":"number node, value=3756","layer":4},{"info":"compute binary expreesion, left_input=2312, right_input=3756, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=19855","layer":3},{"info":"compute unary expreesion, input=19855, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-59565","layer":2},{"info":"compute binary expreesion, left_input=6541, right_input=-59565, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=-85642","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-85642, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((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":13,"result_base":13,"text":"(⪎⋱⫍345B⋝⋈⪟⪎⋱⫍C21↺⪎⋱⫍915+⇶⊼⪎⋱⫍873↙((⪎⋱⫍1311⫸⊐⪎⋱⫍8A7)≫≃))⨪↰⇹(⪎⋱⫍61A⪘⫢⪎⋱⫍4021⋳⪒(⪎⋱⫍34C9⋷⪎⋱⫍1043)⫡⨏(⨵≀≌(⪎⋱⫍108B⫡⨏⪎⋱⫍192C)))=NaN","reverse_text":"NaN=(⪎⋱⫍345B⋝⋈⪟⪎⋱⫍C21↺⪎⋱⫍915+⇶⊼⪎⋱⫍873↙((⪎⋱⫍1311⫸⊐⪎⋱⫍8A7)≫≃))⨪↰⇹(⪎⋱⫍61A⪘⫢⪎⋱⫍4021⋳⪒(⪎⋱⫍34C9⋷⪎⋱⫍1043)⫡⨏(⨵≀≌(⪎⋱⫍108B⫡⨏⪎⋱⫍192C)))","cot":[{"info":"⪎⋱⫍345B⋝⋈⪟⪎⋱⫍C21=⪎⋱⫍345B","layer":3},{"info":"⪎⋱⫍915+⇶⊼⪎⋱⫍873=NaN","layer":3},{"info":"⪎⋱⫍345B↺NaN=NaN","layer":2},{"info":"⪎⋱⫍1311⫸⊐⪎⋱⫍8A7=⪎⋱⫍2867","layer":3},{"info":"⪎⋱⫍2867≫≃=⪎⋱⫍5C3B","layer":2},{"info":"NaN↙⪎⋱⫍5C3B=NaN","layer":1},{"info":"⪎⋱⫍61A⪘⫢⪎⋱⫍4021=⪎⋱⫍B70","layer":3},{"info":"⪎⋱⫍34C9⋷⪎⋱⫍1043=⪎⋱⫍-1443","layer":3},{"info":"⪎⋱⫍B70⋳⪒⪎⋱⫍-1443=⪎⋱⫍2C92","layer":2},{"info":"⪎⋱⫍108B⫡⨏⪎⋱⫍192C=⪎⋱⫍9064","layer":3},{"info":"⨵≀≌⪎⋱⫍9064=⪎⋱⫍-2115C","layer":2},{"info":"⪎⋱⫍2C92⫡⨏⪎⋱⫍-2115C=⪎⋱⫍-2CC9B","layer":1},{"info":"NaN⨪↰⇹⪎⋱⫍-2CC9B=NaN","layer":0}]}
{"id":438,"expression_no_base_symbol":"(↽≂(⨰⫟⨤$3112$)+⇶⊼(⫛⫱⨽$1444$))∑⇟⊟(⪝⪂⫅(⊥($1830$⪒$1115$)))","expression":"(↽≂(⨰⫟⨤⪎⋱⫍1555)+⇶⊼(⫛⫱⨽⪎⋱⫍871))∑⇟⊟(⪝⪂⫅(⊥(⪎⋱⫍AAA⪒⪎⋱⫍67A)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":13043,"operation_count":8,"complexity_ratio":1630.375,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":3112,"base":13}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":1444,"base":13}}}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1830,"base":13},"right_expr":{"type":"numeric_atoms","value":1115,"base":13}}}}},"used_operators":["U7g4x0WXJJ","u6S6b8DprG","TpPTUOHfaN","Tw270M8GLb","DlLNRPXxWL","XTarYq4gQB","Q3PJZHRvZv","f6k1SAg4EE"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rGHVDoGpnC","9HNa5Wba9A","8w2t5hMYqp","fu6greOZ01","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3112","layer":4},{"info":"compute unary expreesion, input=3112, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=1444","layer":4},{"info":"compute unary expreesion, input=1444, 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 = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(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 = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=0","layer":1},{"info":"number node, value=1830","layer":4},{"info":"number node, value=1115","layer":4},{"info":"compute binary expreesion, left_input=1830, right_input=1115, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-2945","layer":3},{"info":"compute unary expreesion, input=-2945, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=nan","layer":1},{"info":"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":13,"result_base":13,"text":"(↽≂(⨰⫟⨤⪎⋱⫍1555)+⇶⊼(⫛⫱⨽⪎⋱⫍871))∑⇟⊟(⪝⪂⫅(⊥(⪎⋱⫍AAA⪒⪎⋱⫍67A)))=NaN","reverse_text":"NaN=(↽≂(⨰⫟⨤⪎⋱⫍1555)+⇶⊼(⫛⫱⨽⪎⋱⫍871))∑⇟⊟(⪝⪂⫅(⊥(⪎⋱⫍AAA⪒⪎⋱⫍67A)))","cot":[{"info":"⨰⫟⨤⪎⋱⫍1555=NaN","layer":3},{"info":"⫛⫱⨽⪎⋱⫍871=⪎⋱⫍0","layer":3},{"info":"NaN+⇶⊼⪎⋱⫍0=⪎⋱⫍0","layer":2},{"info":"↽≂⪎⋱⫍0=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍AAA⪒⪎⋱⫍67A=⪎⋱⫍-1457","layer":3},{"info":"⊥⪎⋱⫍-1457=NaN","layer":2},{"info":"⪝⪂⫅NaN=NaN","layer":1},{"info":"⪎⋱⫍0∑⇟⊟NaN=NaN","layer":0}]}
{"id":439,"expression_no_base_symbol":"((⪝⪂⫅$1584$)⊴($1602$≫≃)*($7529$⪨≂$3111$)≎⊠⪸($1111$⫸⊐$5790$))⪄(($3617$/$1288$)⪄$1792$⪛$3201$)⨐⩸⫘(⇁⨣⪵(↣≠⋷$2361$))","expression":"((⪝⪂⫅⪎⋱⫍94B)⊴(⪎⋱⫍963≫≃)*(⪎⋱⫍3572⪨≂⪎⋱⫍1554)≎⊠⪸(⪎⋱⫍676⫸⊐⪎⋱⫍2835))⪄((⪎⋱⫍1853/⪎⋱⫍781)⪄⪎⋱⫍A7B⪛⪎⋱⫍15C3)⨐⩸⫘(⇁⨣⪵(↣≠⋷⪎⋱⫍10C8))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":6772,"operation_count":14,"complexity_ratio":483.7142857142857,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":1584,"base":13}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":1602,"base":13}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":7529,"base":13},"right_expr":{"type":"numeric_atoms","value":3111,"base":13}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1111,"base":13},"right_expr":{"type":"numeric_atoms","value":5790,"base":13}}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":3617,"base":13},"right_expr":{"type":"numeric_atoms","value":1288,"base":13}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1792,"base":13},"right_expr":{"type":"numeric_atoms","value":3201,"base":13}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":2361,"base":13}}}}},"used_operators":["SUmda5xLS4","9HNa5Wba9A","Nsiff2A1zJ","XTarYq4gQB","X99M06cbEe","bJkvcejdHO","sdazOOVcIp","mqXw5SEYmG","fu6greOZ01","XhwjNDsVaA","uFcxV4UQCh","inkyxCbjAn","Asc51vEJeQ"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","dWAJyo7jo9","14qkJME0vr","9HNa5Wba9A","8w2t5hMYqp","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","3ViojmjbAp","rysDP5nf3Z","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","B5M0gjZbta","XhwjNDsVaA","AHs5Up7iyr"],"result":"⪎⋱⫍1A71","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1584","layer":4},{"info":"compute unary expreesion, input=1584, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-232848","layer":3},{"info":"number node, value=1602","layer":4},{"info":"compute unary expreesion, input=1602, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=4605","layer":3},{"info":"compute binary expreesion, left_input=-232848, right_input=4605, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=7529","layer":4},{"info":"number node, value=3111","layer":4},{"info":"compute binary expreesion, left_input=7529, right_input=3111, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=8938","layer":3},{"info":"number node, value=1111","layer":4},{"info":"number node, value=5790","layer":4},{"info":"compute binary expreesion, left_input=1111, 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=8938, right_input=23035, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=2314469","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=2314469, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=3617","layer":4},{"info":"number node, value=1288","layer":4},{"info":"compute binary expreesion, left_input=3617, right_input=1288, op_id = XhwjNDsVaA binary_op_definition= 'None', output=2","layer":3},{"info":"number node, value=1792","layer":4},{"info":"number node, value=3201","layer":4},{"info":"compute binary expreesion, left_input=1792, right_input=3201, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1792","layer":3},{"info":"compute binary expreesion, left_input=2, right_input=1792, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-3553","layer":2},{"info":"number node, value=2361","layer":4},{"info":"compute unary expreesion, input=2361, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-3553, 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 = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":0}],"base":13,"result_base":13,"text":"((⪝⪂⫅⪎⋱⫍94B)⊴(⪎⋱⫍963≫≃)*(⪎⋱⫍3572⪨≂⪎⋱⫍1554)≎⊠⪸(⪎⋱⫍676⫸⊐⪎⋱⫍2835))⪄((⪎⋱⫍1853/⪎⋱⫍781)⪄⪎⋱⫍A7B⪛⪎⋱⫍15C3)⨐⩸⫘(⇁⨣⪵(↣≠⋷⪎⋱⫍10C8))=⪎⋱⫍1A71","reverse_text":"⪎⋱⫍1A71=((⪝⪂⫅⪎⋱⫍94B)⊴(⪎⋱⫍963≫≃)*(⪎⋱⫍3572⪨≂⪎⋱⫍1554)≎⊠⪸(⪎⋱⫍676⫸⊐⪎⋱⫍2835))⪄((⪎⋱⫍1853/⪎⋱⫍781)⪄⪎⋱⫍A7B⪛⪎⋱⫍15C3)⨐⩸⫘(⇁⨣⪵(↣≠⋷⪎⋱⫍10C8))","cot":[{"info":"⪝⪂⫅⪎⋱⫍94B=⪎⋱⫍-81CA5","layer":3},{"info":"⪎⋱⫍963≫≃=⪎⋱⫍2133","layer":3},{"info":"⪎⋱⫍-81CA5⊴⪎⋱⫍2133=NaN","layer":2},{"info":"⪎⋱⫍3572⪨≂⪎⋱⫍1554=⪎⋱⫍40B7","layer":3},{"info":"⪎⋱⫍676⫸⊐⪎⋱⫍2835=⪎⋱⫍A63C","layer":3},{"info":"⪎⋱⫍40B7≎⊠⪸⪎⋱⫍A63C=⪎⋱⫍630611","layer":2},{"info":"NaN*⪎⋱⫍630611=NaN","layer":1},{"info":"⪎⋱⫍1853/⪎⋱⫍781=⪎⋱⫍2","layer":3},{"info":"⪎⋱⫍A7B⪛⪎⋱⫍15C3=⪎⋱⫍A7B","layer":3},{"info":"⪎⋱⫍2⪄⪎⋱⫍A7B=⪎⋱⫍-1804","layer":2},{"info":"↣≠⋷⪎⋱⫍10C8=NaN","layer":3},{"info":"⇁⨣⪵NaN=NaN","layer":2},{"info":"⪎⋱⫍-1804⨐⩸⫘NaN=NaN","layer":1},{"info":"NaN⪄NaN=⪎⋱⫍1A71","layer":0}]}
{"id":440,"expression_no_base_symbol":"((-$5026$⊴$3701$)⨸⪁($4963$≹⇙⪍$1133$+$5309$⪢$3690$))⨪↰⇹($2001$⋝⋈⪟$7728$⫌⩹⨱)⪮%⊝(($3333$⪄$3700$)∸)","expression":"((-⪎⋱⫍2398⊴⪎⋱⫍18B9)⨸⪁(⪎⋱⫍234A≹⇙⪍⪎⋱⫍692+⪎⋱⫍2555⪢⪎⋱⫍18AB))⨪↰⇹(⪎⋱⫍BAC⋝⋈⪟⪎⋱⫍3696⫌⩹⨱)⪮%⊝((⪎⋱⫍1695⪄⪎⋱⫍18B8)∸)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":21171,"operation_count":12,"complexity_ratio":1764.25,"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":5026,"base":13},"right_expr":{"type":"numeric_atoms","value":3701,"base":13}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":4963,"base":13},"right_expr":{"type":"numeric_atoms","value":1133,"base":13}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":5309,"base":13},"right_expr":{"type":"numeric_atoms","value":3690,"base":13}}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2001,"base":13},"right_expr":{"type":"numeric_atoms","value":7728,"base":13}}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":3333,"base":13},"right_expr":{"type":"numeric_atoms","value":3700,"base":13}}}}},"used_operators":["tmPS8pqC7x","g55IO6H4Gj","t8gj7n24qd","Nsiff2A1zJ","W4YGzv6Whe","AHs5Up7iyr","dWAJyo7jo9","IWmyXbctLI","EBcxylXtPf","2DDjHMKMc0","o20kRiQErp","SUmda5xLS4"],"dependent_operators":["rJVOvQCfKK","W4YGzv6Whe","dWAJyo7jo9","14qkJME0vr","dWAJyo7jo9","k8jYdgA6NY","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5026","layer":4},{"info":"number node, value=3701","layer":4},{"info":"compute binary expreesion, left_input=5026, right_input=3701, 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=4963","layer":4},{"info":"number node, value=1133","layer":4},{"info":"compute binary expreesion, left_input=4963, right_input=1133, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=5309","layer":4},{"info":"number node, value=3690","layer":4},{"info":"compute binary expreesion, left_input=5309, right_input=3690, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":1},{"info":"number node, value=2001","layer":4},{"info":"number node, value=7728","layer":4},{"info":"compute binary expreesion, left_input=2001, right_input=7728, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2001","layer":3},{"info":"compute unary expreesion, input=2001, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=5403","layer":2},{"info":"number node, value=3333","layer":4},{"info":"number node, value=3700","layer":4},{"info":"compute binary expreesion, left_input=3333, right_input=3700, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-504173","layer":3},{"info":"compute unary expreesion, input=-504173, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":2},{"info":"compute binary expreesion, left_input=5403, right_input=177, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=11122","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=11122, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((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":13,"result_base":13,"text":"((-⪎⋱⫍2398⊴⪎⋱⫍18B9)⨸⪁(⪎⋱⫍234A≹⇙⪍⪎⋱⫍692+⪎⋱⫍2555⪢⪎⋱⫍18AB))⨪↰⇹(⪎⋱⫍BAC⋝⋈⪟⪎⋱⫍3696⫌⩹⨱)⪮%⊝((⪎⋱⫍1695⪄⪎⋱⫍18B8)∸)=NaN","reverse_text":"NaN=((-⪎⋱⫍2398⊴⪎⋱⫍18B9)⨸⪁(⪎⋱⫍234A≹⇙⪍⪎⋱⫍692+⪎⋱⫍2555⪢⪎⋱⫍18AB))⨪↰⇹(⪎⋱⫍BAC⋝⋈⪟⪎⋱⫍3696⫌⩹⨱)⪮%⊝((⪎⋱⫍1695⪄⪎⋱⫍18B8)∸)","cot":[{"info":"⪎⋱⫍2398⊴⪎⋱⫍18B9=NaN","layer":3},{"info":"-NaN=NaN","layer":2},{"info":"⪎⋱⫍234A≹⇙⪍⪎⋱⫍692=NaN","layer":3},{"info":"⪎⋱⫍2555⪢⪎⋱⫍18AB=NaN","layer":3},{"info":"NaN+NaN=NaN","layer":2},{"info":"NaN⨸⪁NaN=NaN","layer":1},{"info":"⪎⋱⫍BAC⋝⋈⪟⪎⋱⫍3696=⪎⋱⫍BAC","layer":3},{"info":"⪎⋱⫍BAC⫌⩹⨱=⪎⋱⫍25C8","layer":2},{"info":"⪎⋱⫍1695⪄⪎⋱⫍18B8=⪎⋱⫍-148637","layer":3},{"info":"⪎⋱⫍-148637∸=⪎⋱⫍108","layer":2},{"info":"⪎⋱⫍25C8⪮%⊝⪎⋱⫍108=⪎⋱⫍50A7","layer":1},{"info":"NaN⨪↰⇹⪎⋱⫍50A7=NaN","layer":0}]}
{"id":441,"expression_no_base_symbol":"($1767$⋝⋈⪟$2791$)⪮%⊝($7418$∀⇚≩$6366$)-($1272$⨵⪆$1302$)≹⇙⪍($1469$∑⇟⊟$5521$)⪨≂((⫛⫱⨽$5125$)⪒($1058$+$3375$))+⇶⊼($1985$⪢$7999$⩤)","expression":"(⪎⋱⫍A5C⋝⋈⪟⪎⋱⫍1369)⪮%⊝(⪎⋱⫍34B8∀⇚≩⪎⋱⫍2B89)-(⪎⋱⫍76B⨵⪆⪎⋱⫍792)≹⇙⪍(⪎⋱⫍890∑⇟⊟⪎⋱⫍2689)⪨≂((⫛⫱⨽⪎⋱⫍2443)⪒(⪎⋱⫍635+⪎⋱⫍16C8))+⇶⊼(⪎⋱⫍B99⪢⪎⋱⫍3844⩤)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":61374,"operation_count":14,"complexity_ratio":4383.857142857143,"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":1767,"base":13},"right_expr":{"type":"numeric_atoms","value":2791,"base":13}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":7418,"base":13},"right_expr":{"type":"numeric_atoms","value":6366,"base":13}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1272,"base":13},"right_expr":{"type":"numeric_atoms","value":1302,"base":13}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1469,"base":13},"right_expr":{"type":"numeric_atoms","value":5521,"base":13}}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":5125,"base":13}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1058,"base":13},"right_expr":{"type":"numeric_atoms","value":3375,"base":13}}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1985,"base":13},"right_expr":{"type":"numeric_atoms","value":7999,"base":13}}}}},"used_operators":["sdazOOVcIp","rysDP5nf3Z","IWmyXbctLI","2DDjHMKMc0","LRNGc0VcxI","AHs5Up7iyr","2DQ55sFlQl","U7g4x0WXJJ","TpPTUOHfaN","f6k1SAg4EE","DlLNRPXxWL","W4YGzv6Whe","Z2TMIBDE3Q","dWAJyo7jo9"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1767","layer":4},{"info":"number node, value=2791","layer":4},{"info":"compute binary expreesion, left_input=1767, right_input=2791, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1767","layer":3},{"info":"number node, value=7418","layer":4},{"info":"number node, value=6366","layer":4},{"info":"compute binary expreesion, left_input=7418, right_input=6366, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=1767, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"number node, value=1272","layer":4},{"info":"number node, value=1302","layer":4},{"info":"compute binary expreesion, left_input=1272, right_input=1302, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=1469","layer":4},{"info":"number node, value=5521","layer":4},{"info":"compute binary expreesion, left_input=1469, right_input=5521, 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 = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=5125","layer":4},{"info":"compute unary expreesion, input=5125, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=1058","layer":4},{"info":"number node, value=3375","layer":4},{"info":"compute binary expreesion, left_input=1058, right_input=3375, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4433","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=4433, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4433","layer":2},{"info":"number node, value=1985","layer":4},{"info":"number node, value=7999","layer":4},{"info":"compute binary expreesion, left_input=1985, right_input=7999, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-4433, 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 = 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":13,"result_base":13,"text":"(⪎⋱⫍A5C⋝⋈⪟⪎⋱⫍1369)⪮%⊝(⪎⋱⫍34B8∀⇚≩⪎⋱⫍2B89)-(⪎⋱⫍76B⨵⪆⪎⋱⫍792)≹⇙⪍(⪎⋱⫍890∑⇟⊟⪎⋱⫍2689)⪨≂((⫛⫱⨽⪎⋱⫍2443)⪒(⪎⋱⫍635+⪎⋱⫍16C8))+⇶⊼(⪎⋱⫍B99⪢⪎⋱⫍3844⩤)=NaN","reverse_text":"NaN=(⪎⋱⫍A5C⋝⋈⪟⪎⋱⫍1369)⪮%⊝(⪎⋱⫍34B8∀⇚≩⪎⋱⫍2B89)-(⪎⋱⫍76B⨵⪆⪎⋱⫍792)≹⇙⪍(⪎⋱⫍890∑⇟⊟⪎⋱⫍2689)⪨≂((⫛⫱⨽⪎⋱⫍2443)⪒(⪎⋱⫍635+⪎⋱⫍16C8))+⇶⊼(⪎⋱⫍B99⪢⪎⋱⫍3844⩤)","cot":[{"info":"⪎⋱⫍A5C⋝⋈⪟⪎⋱⫍1369=⪎⋱⫍A5C","layer":3},{"info":"⪎⋱⫍34B8∀⇚≩⪎⋱⫍2B89=NaN","layer":3},{"info":"⪎⋱⫍A5C⪮%⊝NaN=NaN","layer":2},{"info":"⪎⋱⫍76B⨵⪆⪎⋱⫍792=⪎⋱⫍C4","layer":3},{"info":"⪎⋱⫍890∑⇟⊟⪎⋱⫍2689=NaN","layer":3},{"info":"⪎⋱⫍C4≹⇙⪍NaN=NaN","layer":2},{"info":"NaN-NaN=NaN","layer":1},{"info":"⫛⫱⨽⪎⋱⫍2443=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍635+⪎⋱⫍16C8=⪎⋱⫍2030","layer":3},{"info":"⪎⋱⫍0⪒⪎⋱⫍2030=⪎⋱⫍-2030","layer":2},{"info":"⪎⋱⫍B99⪢⪎⋱⫍3844=NaN","layer":3},{"info":"NaN⩤=NaN","layer":2},{"info":"⪎⋱⫍-2030+⇶⊼NaN=NaN","layer":1},{"info":"NaN⪨≂NaN=NaN","layer":0}]}
{"id":442,"expression_no_base_symbol":"(⫛⫱⨽(↔(⊄⩳↩$3343$)))⪛(($5094$∑⇟⊟$3282$⨳⩥⨓($2260$↙$3575$))⨽(($2275$+$7380$)⇼⇔∾$1469$⨪↰⇹$8032$))","expression":"(⫛⫱⨽(↔(⊄⩳↩⪎⋱⫍16A2)))⪛((⪎⋱⫍241B∑⇟⊟⪎⋱⫍1656⨳⩥⨓(⪎⋱⫍104B↙⪎⋱⫍1820))⨽((⪎⋱⫍1060+⪎⋱⫍3489)⇼⇔∾⪎⋱⫍890⨪↰⇹⪎⋱⫍386B))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":6138,"operation_count":11,"complexity_ratio":558.0,"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":3343,"base":13}}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":5094,"base":13},"right_expr":{"type":"numeric_atoms","value":3282,"base":13}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2260,"base":13},"right_expr":{"type":"numeric_atoms","value":3575,"base":13}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2275,"base":13},"right_expr":{"type":"numeric_atoms","value":7380,"base":13}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1469,"base":13},"right_expr":{"type":"numeric_atoms","value":8032,"base":13}}}}},"used_operators":["uFcxV4UQCh","DlLNRPXxWL","ruOEQAzv1W","8w2t5hMYqp","8HhzD0ZcuI","nCS4ZIUYfx","U7g4x0WXJJ","yyfyN0ffXY","tifHPKVTfV","W4YGzv6Whe","tmPS8pqC7x"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rGHVDoGpnC","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3343","layer":4},{"info":"compute unary expreesion, input=3343, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-10029","layer":3},{"info":"compute unary expreesion, input=-10029, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":2},{"info":"compute unary expreesion, input=-134, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":1},{"info":"number node, value=5094","layer":4},{"info":"number node, value=3282","layer":4},{"info":"compute binary expreesion, left_input=5094, right_input=3282, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=2260","layer":4},{"info":"number node, value=3575","layer":4},{"info":"compute binary expreesion, left_input=2260, right_input=3575, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-10725","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-10725, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":2},{"info":"number node, value=2275","layer":4},{"info":"number node, value=7380","layer":4},{"info":"compute binary expreesion, left_input=2275, right_input=7380, op_id = W4YGzv6Whe binary_op_definition= 'None', output=9655","layer":3},{"info":"number node, value=1469","layer":4},{"info":"number node, value=8032","layer":4},{"info":"compute binary expreesion, left_input=1469, right_input=8032, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1469","layer":3},{"info":"compute binary expreesion, left_input=9655, right_input=1469, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-8186","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-8186, 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 = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⫛⫱⨽(↔(⊄⩳↩⪎⋱⫍16A2)))⪛((⪎⋱⫍241B∑⇟⊟⪎⋱⫍1656⨳⩥⨓(⪎⋱⫍104B↙⪎⋱⫍1820))⨽((⪎⋱⫍1060+⪎⋱⫍3489)⇼⇔∾⪎⋱⫍890⨪↰⇹⪎⋱⫍386B))=NaN","reverse_text":"NaN=(⫛⫱⨽(↔(⊄⩳↩⪎⋱⫍16A2)))⪛((⪎⋱⫍241B∑⇟⊟⪎⋱⫍1656⨳⩥⨓(⪎⋱⫍104B↙⪎⋱⫍1820))⨽((⪎⋱⫍1060+⪎⋱⫍3489)⇼⇔∾⪎⋱⫍890⨪↰⇹⪎⋱⫍386B))","cot":[{"info":"⊄⩳↩⪎⋱⫍16A2=⪎⋱⫍-4746","layer":3},{"info":"↔⪎⋱⫍-4746=⪎⋱⫍-A4","layer":2},{"info":"⫛⫱⨽⪎⋱⫍-A4=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍241B∑⇟⊟⪎⋱⫍1656=NaN","layer":3},{"info":"⪎⋱⫍104B↙⪎⋱⫍1820=⪎⋱⫍-4B60","layer":3},{"info":"NaN⨳⩥⨓⪎⋱⫍-4B60=NaN","layer":2},{"info":"⪎⋱⫍1060+⪎⋱⫍3489=⪎⋱⫍4519","layer":3},{"info":"⪎⋱⫍890⨪↰⇹⪎⋱⫍386B=⪎⋱⫍890","layer":3},{"info":"⪎⋱⫍4519⇼⇔∾⪎⋱⫍890=⪎⋱⫍-3959","layer":2},{"info":"NaN⨽⪎⋱⫍-3959=NaN","layer":1},{"info":"⪎⋱⫍0⪛NaN=NaN","layer":0}]}
{"id":443,"expression_no_base_symbol":"(($7019$⩷∴$1454$⨎$2103$⊴$5305$)⋝⋈⪟($2683$∑⇟⊟$2629$⩚⊴⇥($1762$+⇶⊼$1069$)))⨟⋌⩍(($5841$⫡⨏$2579$)⇷($3889$≫≃)⨸⪁($6470$⨟⋌⩍$3994$⊉≛↸($4928$∧)))","expression":"((⪎⋱⫍326C⩷∴⪎⋱⫍87B⨎⪎⋱⫍C5A⊴⪎⋱⫍2551)⋝⋈⪟(⪎⋱⫍12B5∑⇟⊟⪎⋱⫍1273⩚⊴⇥(⪎⋱⫍A57+⇶⊼⪎⋱⫍643)))⨟⋌⩍((⪎⋱⫍2874⫡⨏⪎⋱⫍1235)⇷(⪎⋱⫍1A02≫≃)⨸⪁(⪎⋱⫍2C39⨟⋌⩍⪎⋱⫍1A83⊉≛↸(⪎⋱⫍2321∧)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":497403,"operation_count":15,"complexity_ratio":33160.2,"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":7019,"base":13},"right_expr":{"type":"numeric_atoms","value":1454,"base":13}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2103,"base":13},"right_expr":{"type":"numeric_atoms","value":5305,"base":13}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":2683,"base":13},"right_expr":{"type":"numeric_atoms","value":2629,"base":13}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1762,"base":13},"right_expr":{"type":"numeric_atoms","value":1069,"base":13}}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":5841,"base":13},"right_expr":{"type":"numeric_atoms","value":2579,"base":13}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":3889,"base":13}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":6470,"base":13},"right_expr":{"type":"numeric_atoms","value":3994,"base":13}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":4928,"base":13}}}}},"used_operators":["rGHVDoGpnC","2DDjHMKMc0","rJVOvQCfKK","9FxExcQeMw","Nsiff2A1zJ","NTOWxs364D","U7g4x0WXJJ","TpPTUOHfaN","g55IO6H4Gj","mp7IySMOzn","QMFrweE19q","X99M06cbEe","DZ8iAZOCBD","z63VuFQld9"],"dependent_operators":["Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","AHs5Up7iyr","W4YGzv6Whe","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=7019","layer":4},{"info":"number node, value=1454","layer":4},{"info":"compute binary expreesion, left_input=7019, right_input=1454, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=11098","layer":3},{"info":"number node, value=2103","layer":4},{"info":"number node, value=5305","layer":4},{"info":"compute binary expreesion, left_input=2103, right_input=5305, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=11098, 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=2683","layer":4},{"info":"number node, value=2629","layer":4},{"info":"compute binary expreesion, left_input=2683, right_input=2629, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=1762","layer":4},{"info":"number node, value=1069","layer":4},{"info":"compute binary expreesion, left_input=1762, right_input=1069, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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 = 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 = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":1},{"info":"number node, value=5841","layer":4},{"info":"number node, value=2579","layer":4},{"info":"compute binary expreesion, left_input=5841, right_input=2579, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=35146","layer":3},{"info":"number node, value=3889","layer":4},{"info":"compute unary expreesion, input=3889, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=9179","layer":3},{"info":"compute binary expreesion, left_input=35146, right_input=9179, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=18358","layer":2},{"info":"number node, value=6470","layer":4},{"info":"number node, value=3994","layer":4},{"info":"compute binary expreesion, left_input=6470, right_input=3994, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=4928","layer":4},{"info":"compute unary expreesion, input=4928, 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 = 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=18358, 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 = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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":13,"result_base":13,"text":"((⪎⋱⫍326C⩷∴⪎⋱⫍87B⨎⪎⋱⫍C5A⊴⪎⋱⫍2551)⋝⋈⪟(⪎⋱⫍12B5∑⇟⊟⪎⋱⫍1273⩚⊴⇥(⪎⋱⫍A57+⇶⊼⪎⋱⫍643)))⨟⋌⩍((⪎⋱⫍2874⫡⨏⪎⋱⫍1235)⇷(⪎⋱⫍1A02≫≃)⨸⪁(⪎⋱⫍2C39⨟⋌⩍⪎⋱⫍1A83⊉≛↸(⪎⋱⫍2321∧)))=NaN","reverse_text":"NaN=((⪎⋱⫍326C⩷∴⪎⋱⫍87B⨎⪎⋱⫍C5A⊴⪎⋱⫍2551)⋝⋈⪟(⪎⋱⫍12B5∑⇟⊟⪎⋱⫍1273⩚⊴⇥(⪎⋱⫍A57+⇶⊼⪎⋱⫍643)))⨟⋌⩍((⪎⋱⫍2874⫡⨏⪎⋱⫍1235)⇷(⪎⋱⫍1A02≫≃)⨸⪁(⪎⋱⫍2C39⨟⋌⩍⪎⋱⫍1A83⊉≛↸(⪎⋱⫍2321∧)))","cot":[{"info":"⪎⋱⫍326C⩷∴⪎⋱⫍87B=⪎⋱⫍5089","layer":3},{"info":"⪎⋱⫍C5A⊴⪎⋱⫍2551=NaN","layer":3},{"info":"⪎⋱⫍5089⨎NaN=NaN","layer":2},{"info":"⪎⋱⫍12B5∑⇟⊟⪎⋱⫍1273=NaN","layer":3},{"info":"⪎⋱⫍A57+⇶⊼⪎⋱⫍643=NaN","layer":3},{"info":"NaN⩚⊴⇥NaN=NaN","layer":2},{"info":"NaN⋝⋈⪟NaN=NaN","layer":1},{"info":"⪎⋱⫍2874⫡⨏⪎⋱⫍1235=⪎⋱⫍12CC7","layer":3},{"info":"⪎⋱⫍1A02≫≃=⪎⋱⫍4241","layer":3},{"info":"⪎⋱⫍12CC7⇷⪎⋱⫍4241=⪎⋱⫍8482","layer":2},{"info":"⪎⋱⫍2C39⨟⋌⩍⪎⋱⫍1A83=NaN","layer":3},{"info":"⪎⋱⫍2321∧=NaN","layer":3},{"info":"NaN⊉≛↸NaN=NaN","layer":2},{"info":"⪎⋱⫍8482⨸⪁NaN=NaN","layer":1},{"info":"NaN⨟⋌⩍NaN=NaN","layer":0}]}
{"id":444,"expression_no_base_symbol":"(($1046$⋫)⪘⫢(≉$7404$))⇷(⨰⫟⨤($1546$-$1207$))%($3620$↙$3801$⪨≂$1188$⪢$4276$)⇷(($1669$⨽$1227$)⨓(↯⪼$1104$))","expression":"((⪎⋱⫍626⋫)⪘⫢(≉⪎⋱⫍34A7))⇷(⨰⫟⨤(⪎⋱⫍91C-⪎⋱⫍71B))%(⪎⋱⫍1856↙⪎⋱⫍1965⪨≂⪎⋱⫍705⪢⪎⋱⫍1C3C)⇷((⪎⋱⫍9B5⨽⪎⋱⫍735)⨓(↯⪼⪎⋱⫍66C))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":39343,"operation_count":14,"complexity_ratio":2810.214285714286,"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":1046,"base":13}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":7404,"base":13}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1546,"base":13},"right_expr":{"type":"numeric_atoms","value":1207,"base":13}}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":3620,"base":13},"right_expr":{"type":"numeric_atoms","value":3801,"base":13}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1188,"base":13},"right_expr":{"type":"numeric_atoms","value":4276,"base":13}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1669,"base":13},"right_expr":{"type":"numeric_atoms","value":1227,"base":13}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1104,"base":13}}}}},"used_operators":["k8jYdgA6NY","mp7IySMOzn","oacrs7FA3X","JL8yIekQnl","e1ybzncUwg","Tw270M8GLb","rysDP5nf3Z","sdazOOVcIp","yyfyN0ffXY","dWAJyo7jo9","3ViojmjbAp","8HhzD0ZcuI","8jW3W4yZS5"],"dependent_operators":["rysDP5nf3Z","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","tmPS8pqC7x","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","k8jYdgA6NY","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1046","layer":4},{"info":"compute unary expreesion, input=1046, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=1046","layer":3},{"info":"number node, value=7404","layer":4},{"info":"compute unary expreesion, input=7404, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=7935","layer":3},{"info":"compute binary expreesion, left_input=1046, right_input=7935, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=1968","layer":2},{"info":"number node, value=1546","layer":4},{"info":"number node, value=1207","layer":4},{"info":"compute binary expreesion, left_input=1546, right_input=1207, op_id = rysDP5nf3Z binary_op_definition= 'None', output=339","layer":3},{"info":"compute unary expreesion, input=339, 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=1968, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":1},{"info":"number node, value=3620","layer":4},{"info":"number node, value=3801","layer":4},{"info":"compute binary expreesion, left_input=3620, right_input=3801, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-11403","layer":3},{"info":"number node, value=1188","layer":4},{"info":"number node, value=4276","layer":4},{"info":"compute binary expreesion, left_input=1188, right_input=4276, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=-11403, 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=1669","layer":4},{"info":"number node, value=1227","layer":4},{"info":"compute binary expreesion, left_input=1669, right_input=1227, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-8359050","layer":3},{"info":"number node, value=1104","layer":4},{"info":"compute unary expreesion, input=1104, 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=-8359050, 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=nan, right_input=-24, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=-48","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-48, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍626⋫)⪘⫢(≉⪎⋱⫍34A7))⇷(⨰⫟⨤(⪎⋱⫍91C-⪎⋱⫍71B))%(⪎⋱⫍1856↙⪎⋱⫍1965⪨≂⪎⋱⫍705⪢⪎⋱⫍1C3C)⇷((⪎⋱⫍9B5⨽⪎⋱⫍735)⨓(↯⪼⪎⋱⫍66C))=NaN","reverse_text":"NaN=((⪎⋱⫍626⋫)⪘⫢(≉⪎⋱⫍34A7))⇷(⨰⫟⨤(⪎⋱⫍91C-⪎⋱⫍71B))%(⪎⋱⫍1856↙⪎⋱⫍1965⪨≂⪎⋱⫍705⪢⪎⋱⫍1C3C)⇷((⪎⋱⫍9B5⨽⪎⋱⫍735)⨓(↯⪼⪎⋱⫍66C))","cot":[{"info":"⪎⋱⫍626⋫=⪎⋱⫍626","layer":3},{"info":"≉⪎⋱⫍34A7=⪎⋱⫍37C5","layer":3},{"info":"⪎⋱⫍626⪘⫢⪎⋱⫍37C5=⪎⋱⫍B85","layer":2},{"info":"⪎⋱⫍91C-⪎⋱⫍71B=⪎⋱⫍201","layer":3},{"info":"⨰⫟⨤⪎⋱⫍201=NaN","layer":2},{"info":"⪎⋱⫍B85⇷NaN=NaN","layer":1},{"info":"⪎⋱⫍1856↙⪎⋱⫍1965=⪎⋱⫍-5262","layer":3},{"info":"⪎⋱⫍705⪢⪎⋱⫍1C3C=NaN","layer":3},{"info":"⪎⋱⫍-5262⪨≂NaN=NaN","layer":2},{"info":"⪎⋱⫍9B5⨽⪎⋱⫍735=⪎⋱⫍-19689AB","layer":3},{"info":"↯⪼⪎⋱⫍66C=⪎⋱⫍-18","layer":3},{"info":"⪎⋱⫍-19689AB⨓⪎⋱⫍-18=⪎⋱⫍-1B","layer":2},{"info":"NaN⇷⪎⋱⫍-1B=⪎⋱⫍-39","layer":1},{"info":"NaN%⪎⋱⫍-39=NaN","layer":0}]}
{"id":445,"expression_no_base_symbol":"(($4733$⨓$2405$/(⇁⨣⪵$1077$))⪄(($4591$⊭∹↮)⫡⨏$4455$⨰$2199$))⨓((↣≠⋷($1485$⪢$3032$))⨵⪆((⨞⊢$3132$)≣⋋))","expression":"((⪎⋱⫍2201⨓⪎⋱⫍1130/(⇁⨣⪵⪎⋱⫍64B))⪄((⪎⋱⫍2122⊭∹↮)⫡⨏⪎⋱⫍2049⨰⪎⋱⫍1002))⨓((↣≠⋷(⪎⋱⫍8A3⪢⪎⋱⫍14C3))⨵⪆((⨞⊢⪎⋱⫍156C)≣⋋))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":6172,"operation_count":13,"complexity_ratio":474.7692307692308,"tree":{"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":13},"right_expr":{"type":"numeric_atoms","value":2405,"base":13}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1077,"base":13}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":4591,"base":13}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":4455,"base":13},"right_expr":{"type":"numeric_atoms","value":2199,"base":13}}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1485,"base":13},"right_expr":{"type":"numeric_atoms","value":3032,"base":13}}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":3132,"base":13}}}}},"used_operators":["3ViojmjbAp","SUmda5xLS4","XhwjNDsVaA","inkyxCbjAn","QMFrweE19q","xNBdhnnwKq","eewbuw0ToL","2DQ55sFlQl","Asc51vEJeQ","dWAJyo7jo9","Tcnh7f0tEr","xUOZtlo3hN"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","B5M0gjZbta","W4YGzv6Whe","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","k8jYdgA6NY","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍-C7","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4733","layer":4},{"info":"number node, value=2405","layer":4},{"info":"compute binary expreesion, left_input=4733, right_input=2405, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2408","layer":3},{"info":"number node, value=1077","layer":4},{"info":"compute unary expreesion, input=1077, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-2408, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=4591","layer":4},{"info":"compute unary expreesion, input=4591, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=9182","layer":3},{"info":"number node, value=4455","layer":4},{"info":"number node, value=2199","layer":4},{"info":"compute binary expreesion, left_input=4455, right_input=2199, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=2266","layer":3},{"info":"compute binary expreesion, left_input=9182, right_input=2266, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=51225","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=51225, 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=1485","layer":4},{"info":"number node, value=3032","layer":4},{"info":"compute binary expreesion, left_input=1485, right_input=3032, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"number node, value=3132","layer":4},{"info":"compute unary expreesion, input=3132, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-3306","layer":3},{"info":"compute unary expreesion, input=-3306, 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 = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"compute binary expreesion, left_input=3979, right_input=160, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-163","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍2201⨓⪎⋱⫍1130/(⇁⨣⪵⪎⋱⫍64B))⪄((⪎⋱⫍2122⊭∹↮)⫡⨏⪎⋱⫍2049⨰⪎⋱⫍1002))⨓((↣≠⋷(⪎⋱⫍8A3⪢⪎⋱⫍14C3))⨵⪆((⨞⊢⪎⋱⫍156C)≣⋋))=⪎⋱⫍-C7","reverse_text":"⪎⋱⫍-C7=((⪎⋱⫍2201⨓⪎⋱⫍1130/(⇁⨣⪵⪎⋱⫍64B))⪄((⪎⋱⫍2122⊭∹↮)⫡⨏⪎⋱⫍2049⨰⪎⋱⫍1002))⨓((↣≠⋷(⪎⋱⫍8A3⪢⪎⋱⫍14C3))⨵⪆((⨞⊢⪎⋱⫍156C)≣⋋))","cot":[{"info":"⪎⋱⫍2201⨓⪎⋱⫍1130=⪎⋱⫍-1133","layer":3},{"info":"⇁⨣⪵⪎⋱⫍64B=NaN","layer":3},{"info":"⪎⋱⫍-1133/NaN=NaN","layer":2},{"info":"⪎⋱⫍2122⊭∹↮=⪎⋱⫍4244","layer":3},{"info":"⪎⋱⫍2049⨰⪎⋱⫍1002=⪎⋱⫍1054","layer":3},{"info":"⪎⋱⫍4244⫡⨏⪎⋱⫍1054=⪎⋱⫍1A415","layer":2},{"info":"NaN⪄⪎⋱⫍1A415=⪎⋱⫍1A71","layer":1},{"info":"⪎⋱⫍8A3⪢⪎⋱⫍14C3=NaN","layer":3},{"info":"↣≠⋷NaN=NaN","layer":2},{"info":"⨞⊢⪎⋱⫍156C=⪎⋱⫍-1674","layer":3},{"info":"⪎⋱⫍-1674≣⋋=⪎⋱⫍0","layer":2},{"info":"NaN⨵⪆⪎⋱⫍0=⪎⋱⫍C4","layer":1},{"info":"⪎⋱⫍1A71⨓⪎⋱⫍C4=⪎⋱⫍-C7","layer":0}]}
{"id":446,"expression_no_base_symbol":"(↽≂(($1156$↪⪝)⋫))⪒((⊥(⋗⩬⋾$2003$))⨁⊸⫻)","expression":"(↽≂((⪎⋱⫍6AC↪⪝)⋫))⪒((⊥(⋗⩬⋾⪎⋱⫍BB1))⨁⊸⫻)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":712,"operation_count":7,"complexity_ratio":101.71428571428571,"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":1156,"base":13}}}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":2003,"base":13}}}}},"used_operators":["f6k1SAg4EE","u6S6b8DprG","JL8yIekQnl","l07mrZUIn9","glklzrTFfD","Q3PJZHRvZv","DpFCA1CohY"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","9HNa5Wba9A","2DDjHMKMc0","W4YGzv6Whe","rysDP5nf3Z","fu6greOZ01","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1156","layer":4},{"info":"compute unary expreesion, input=1156, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=70726392","layer":3},{"info":"compute unary expreesion, input=70726392, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=nan","layer":1},{"info":"number node, value=2003","layer":4},{"info":"compute unary expreesion, input=2003, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-6009","layer":3},{"info":"compute unary expreesion, input=-6009, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', 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 binary expreesion, left_input=nan, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(↽≂((⪎⋱⫍6AC↪⪝)⋫))⪒((⊥(⋗⩬⋾⪎⋱⫍BB1))⨁⊸⫻)=NaN","reverse_text":"NaN=(↽≂((⪎⋱⫍6AC↪⪝)⋫))⪒((⊥(⋗⩬⋾⪎⋱⫍BB1))⨁⊸⫻)","cot":[{"info":"⪎⋱⫍6AC↪⪝=⪎⋱⫍11864349","layer":3},{"info":"⪎⋱⫍11864349⋫=NaN","layer":2},{"info":"↽≂NaN=NaN","layer":1},{"info":"⋗⩬⋾⪎⋱⫍BB1=⪎⋱⫍-2973","layer":3},{"info":"⊥⪎⋱⫍-2973=NaN","layer":2},{"info":"NaN⨁⊸⫻=NaN","layer":1},{"info":"NaN⪒NaN=NaN","layer":0}]}
{"id":447,"expression_no_base_symbol":"(($7407$⫥∨⫟$3317$)⩚⊴⇥$3130$⊴$1165$-($1421$⪠⩆⊳)∲⫓($2892$⋷$2608$))%(⇁⨣⪵(+⊝⨔$2428$))⊭↱(($2253$⊉≛↸$4049$)⊘)","expression":"((⪎⋱⫍34AA⫥∨⫟⪎⋱⫍1682)⩚⊴⇥⪎⋱⫍156A⊴⪎⋱⫍6B8-(⪎⋱⫍854⪠⩆⊳)∲⫓(⪎⋱⫍1416⋷⪎⋱⫍1258))%(⇁⨣⪵(+⊝⨔⪎⋱⫍114A))⊭↱((⪎⋱⫍1044⊉≛↸⪎⋱⫍1AC6)⊘)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1995,"operation_count":13,"complexity_ratio":153.46153846153845,"tree":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":7407,"base":13},"right_expr":{"type":"numeric_atoms","value":3317,"base":13}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":3130,"base":13},"right_expr":{"type":"numeric_atoms","value":1165,"base":13}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":1421,"base":13}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":2892,"base":13},"right_expr":{"type":"numeric_atoms","value":2608,"base":13}}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":2428,"base":13}}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2253,"base":13},"right_expr":{"type":"numeric_atoms","value":4049,"base":13}}}}},"used_operators":["k8jYdgA6NY","rysDP5nf3Z","NTOWxs364D","KYD54nUTWz","Nsiff2A1zJ","i8ToyICDmI","JLbD19bQDL","23Mk6UjR3U","COABgblf1C","inkyxCbjAn","DhbWaqg5eL","gu96TGCTMs","DZ8iAZOCBD"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","8HhzD0ZcuI","rGHVDoGpnC","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=7407","layer":4},{"info":"number node, value=3317","layer":4},{"info":"compute binary expreesion, left_input=7407, right_input=3317, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=3130","layer":4},{"info":"number node, value=1165","layer":4},{"info":"compute binary expreesion, left_input=3130, right_input=1165, 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 = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":2},{"info":"number node, value=1421","layer":4},{"info":"compute unary expreesion, input=1421, 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=2892","layer":4},{"info":"number node, value=2608","layer":4},{"info":"compute binary expreesion, left_input=2892, right_input=2608, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=2324","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2324, 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 = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=2428","layer":4},{"info":"compute unary expreesion, input=2428, 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 = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"number node, value=2253","layer":4},{"info":"number node, value=4049","layer":4},{"info":"compute binary expreesion, left_input=2253, right_input=4049, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=4506","layer":3},{"info":"compute unary expreesion, input=4506, 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=nan, right_input=0, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍34AA⫥∨⫟⪎⋱⫍1682)⩚⊴⇥⪎⋱⫍156A⊴⪎⋱⫍6B8-(⪎⋱⫍854⪠⩆⊳)∲⫓(⪎⋱⫍1416⋷⪎⋱⫍1258))%(⇁⨣⪵(+⊝⨔⪎⋱⫍114A))⊭↱((⪎⋱⫍1044⊉≛↸⪎⋱⫍1AC6)⊘)=NaN","reverse_text":"NaN=((⪎⋱⫍34AA⫥∨⫟⪎⋱⫍1682)⩚⊴⇥⪎⋱⫍156A⊴⪎⋱⫍6B8-(⪎⋱⫍854⪠⩆⊳)∲⫓(⪎⋱⫍1416⋷⪎⋱⫍1258))%(⇁⨣⪵(+⊝⨔⪎⋱⫍114A))⊭↱((⪎⋱⫍1044⊉≛↸⪎⋱⫍1AC6)⊘)","cot":[{"info":"⪎⋱⫍34AA⫥∨⫟⪎⋱⫍1682=NaN","layer":3},{"info":"⪎⋱⫍156A⊴⪎⋱⫍6B8=NaN","layer":3},{"info":"NaN⩚⊴⇥NaN=NaN","layer":2},{"info":"⪎⋱⫍854⪠⩆⊳=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍1416⋷⪎⋱⫍1258=⪎⋱⫍109A","layer":3},{"info":"⪎⋱⫍0∲⫓⪎⋱⫍109A=⪎⋱⫍0","layer":2},{"info":"NaN-⪎⋱⫍0=NaN","layer":1},{"info":"+⊝⨔⪎⋱⫍114A=⪎⋱⫍901","layer":3},{"info":"⇁⨣⪵⪎⋱⫍901=NaN","layer":2},{"info":"⪎⋱⫍1044⊉≛↸⪎⋱⫍1AC6=⪎⋱⫍2088","layer":3},{"info":"⪎⋱⫍2088⊘=⪎⋱⫍0","layer":2},{"info":"NaN⊭↱⪎⋱⫍0=NaN","layer":1},{"info":"NaN%NaN=NaN","layer":0}]}
{"id":448,"expression_no_base_symbol":"(∥⊫($2781$⩨$3384$))⪢(($1766$∲⫓$1324$)∀⇚≩($1129$⩨$4846$))⪨≂(⪝⪂⫅(($5152$⨁⊸⫻)⋷$1685$⪘⫢$5211$))","expression":"(∥⊫(⪎⋱⫍135C⩨⪎⋱⫍1704))⪢((⪎⋱⫍A5B∲⫓⪎⋱⫍7AB)∀⇚≩(⪎⋱⫍68B⩨⪎⋱⫍228A))⪨≂(⪝⪂⫅((⪎⋱⫍2464⨁⊸⫻)⋷⪎⋱⫍9C8⪘⫢⪎⋱⫍24AB))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1625,"operation_count":11,"complexity_ratio":147.72727272727272,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2781,"base":13},"right_expr":{"type":"numeric_atoms","value":3384,"base":13}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1766,"base":13},"right_expr":{"type":"numeric_atoms","value":1324,"base":13}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1129,"base":13},"right_expr":{"type":"numeric_atoms","value":4846,"base":13}}}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":5152,"base":13}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1685,"base":13},"right_expr":{"type":"numeric_atoms","value":5211,"base":13}}}}},"used_operators":["sdazOOVcIp","dWAJyo7jo9","P8v4zCKN1o","2DlMacCsIx","LRNGc0VcxI","i8ToyICDmI","XTarYq4gQB","23Mk6UjR3U","glklzrTFfD","oacrs7FA3X"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2781","layer":4},{"info":"number node, value=3384","layer":4},{"info":"compute binary expreesion, left_input=2781, right_input=3384, 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 = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=865","layer":2},{"info":"number node, value=1766","layer":4},{"info":"number node, value=1324","layer":4},{"info":"compute binary expreesion, left_input=1766, right_input=1324, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=1129","layer":4},{"info":"number node, value=4846","layer":4},{"info":"compute binary expreesion, left_input=1129, right_input=4846, 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=0, right_input=-12, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=-12","layer":2},{"info":"compute binary expreesion, left_input=865, right_input=-12, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=5152","layer":4},{"info":"compute unary expreesion, input=5152, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=5152","layer":3},{"info":"number node, value=1685","layer":4},{"info":"number node, value=5211","layer":4},{"info":"compute binary expreesion, left_input=1685, right_input=5211, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=3246","layer":3},{"info":"compute binary expreesion, left_input=5152, right_input=3246, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=1340","layer":2},{"info":"compute unary expreesion, input=1340, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-196980","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-196980, op_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":13,"result_base":13,"text":"(∥⊫(⪎⋱⫍135C⩨⪎⋱⫍1704))⪢((⪎⋱⫍A5B∲⫓⪎⋱⫍7AB)∀⇚≩(⪎⋱⫍68B⩨⪎⋱⫍228A))⪨≂(⪝⪂⫅((⪎⋱⫍2464⨁⊸⫻)⋷⪎⋱⫍9C8⪘⫢⪎⋱⫍24AB))=NaN","reverse_text":"NaN=(∥⊫(⪎⋱⫍135C⩨⪎⋱⫍1704))⪢((⪎⋱⫍A5B∲⫓⪎⋱⫍7AB)∀⇚≩(⪎⋱⫍68B⩨⪎⋱⫍228A))⪨≂(⪝⪂⫅((⪎⋱⫍2464⨁⊸⫻)⋷⪎⋱⫍9C8⪘⫢⪎⋱⫍24AB))","cot":[{"info":"⪎⋱⫍135C⩨⪎⋱⫍1704=⪎⋱⫍-3","layer":3},{"info":"∥⊫⪎⋱⫍-3=⪎⋱⫍517","layer":2},{"info":"⪎⋱⫍A5B∲⫓⪎⋱⫍7AB=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍68B⩨⪎⋱⫍228A=⪎⋱⫍-C","layer":3},{"info":"⪎⋱⫍0∀⇚≩⪎⋱⫍-C=⪎⋱⫍-C","layer":2},{"info":"⪎⋱⫍517⪢⪎⋱⫍-C=NaN","layer":1},{"info":"⪎⋱⫍2464⨁⊸⫻=⪎⋱⫍2464","layer":3},{"info":"⪎⋱⫍9C8⪘⫢⪎⋱⫍24AB=⪎⋱⫍1629","layer":3},{"info":"⪎⋱⫍2464⋷⪎⋱⫍1629=⪎⋱⫍7C1","layer":2},{"info":"⪝⪂⫅⪎⋱⫍7C1=⪎⋱⫍-6B874","layer":1},{"info":"NaN⪨≂⪎⋱⫍-6B874=NaN","layer":0}]}
{"id":449,"expression_no_base_symbol":"(($6668$⨳⩥⨓$5553$)⇷($3767$⋳⪒$3620$)⋝⋈⪟($1354$⩷∴$2332$⊘))⩠","expression":"((⪎⋱⫍305C⨳⩥⨓⪎⋱⫍26B2)⇷(⪎⋱⫍193A⋳⪒⪎⋱⫍1856)⋝⋈⪟(⪎⋱⫍802⩷∴⪎⋱⫍10A5⊘))⩠","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":15674,"operation_count":7,"complexity_ratio":2239.1428571428573,"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":6668,"base":13},"right_expr":{"type":"numeric_atoms","value":5553,"base":13}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":3767,"base":13},"right_expr":{"type":"numeric_atoms","value":3620,"base":13}}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1354,"base":13},"right_expr":{"type":"numeric_atoms","value":2332,"base":13}}}}},"used_operators":["sJAwomhLZr","2DDjHMKMc0","mp7IySMOzn","nCS4ZIUYfx","12rbrZMWeM","gu96TGCTMs","9FxExcQeMw"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rysDP5nf3Z"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=6668","layer":4},{"info":"number node, value=5553","layer":4},{"info":"compute binary expreesion, left_input=6668, right_input=5553, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-1115","layer":3},{"info":"number node, value=3767","layer":4},{"info":"number node, value=3620","layer":4},{"info":"compute binary expreesion, left_input=3767, right_input=3620, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=3627","layer":3},{"info":"compute binary expreesion, left_input=-1115, right_input=3627, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=7254","layer":2},{"info":"number node, value=1354","layer":4},{"info":"number node, value=2332","layer":4},{"info":"compute binary expreesion, left_input=1354, right_input=2332, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-1988","layer":3},{"info":"compute unary expreesion, input=-1988, 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=7254, right_input=-1, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=7254","layer":1},{"info":"compute unary expreesion, input=7254, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍305C⨳⩥⨓⪎⋱⫍26B2)⇷(⪎⋱⫍193A⋳⪒⪎⋱⫍1856)⋝⋈⪟(⪎⋱⫍802⩷∴⪎⋱⫍10A5⊘))⩠=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=((⪎⋱⫍305C⨳⩥⨓⪎⋱⫍26B2)⇷(⪎⋱⫍193A⋳⪒⪎⋱⫍1856)⋝⋈⪟(⪎⋱⫍802⩷∴⪎⋱⫍10A5⊘))⩠","cot":[{"info":"⪎⋱⫍305C⨳⩥⨓⪎⋱⫍26B2=⪎⋱⫍-67A","layer":3},{"info":"⪎⋱⫍193A⋳⪒⪎⋱⫍1856=⪎⋱⫍1860","layer":3},{"info":"⪎⋱⫍-67A⇷⪎⋱⫍1860=⪎⋱⫍33C0","layer":2},{"info":"⪎⋱⫍802⩷∴⪎⋱⫍10A5=⪎⋱⫍-B9C","layer":3},{"info":"⪎⋱⫍-B9C⊘=⪎⋱⫍-1","layer":2},{"info":"⪎⋱⫍33C0⋝⋈⪟⪎⋱⫍-1=⪎⋱⫍33C0","layer":1},{"info":"⪎⋱⫍33C0⩠=⪎⋱⫍0","layer":0}]}
{"id":450,"expression_no_base_symbol":"((($7347$⫡⨏$4867$)∲⫓(∂$1166$))⨸⪁$7157$⪢$1063$⨳⩥⨓($1119$≋⫹))≎⊠⪸(($1074$⨓$2784$-$2954$∼$3160$)%$3130$⨎$3058$⇼⇔∾$1366$⋳⪒$3131$)","expression":"(((⪎⋱⫍3462⫡⨏⪎⋱⫍22A5)∲⫓(∂⪎⋱⫍6B9))⨸⪁⪎⋱⫍3347⪢⪎⋱⫍63A⨳⩥⨓(⪎⋱⫍681≋⫹))≎⊠⪸((⪎⋱⫍648⨓⪎⋱⫍1362-⪎⋱⫍1463∼⪎⋱⫍1591)%⪎⋱⫍156A⨎⪎⋱⫍1513⇼⇔∾⪎⋱⫍811⋳⪒⪎⋱⫍156B)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":17132,"operation_count":15,"complexity_ratio":1142.1333333333334,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":7347,"base":13},"right_expr":{"type":"numeric_atoms","value":4867,"base":13}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":1166,"base":13}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":7157,"base":13},"right_expr":{"type":"numeric_atoms","value":1063,"base":13}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":1119,"base":13}}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1074,"base":13},"right_expr":{"type":"numeric_atoms","value":2784,"base":13}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2954,"base":13},"right_expr":{"type":"numeric_atoms","value":3160,"base":13}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":3130,"base":13},"right_expr":{"type":"numeric_atoms","value":3058,"base":13}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1366,"base":13},"right_expr":{"type":"numeric_atoms","value":3131,"base":13}}}}},"used_operators":["bJkvcejdHO","g55IO6H4Gj","i8ToyICDmI","QMFrweE19q","Uaa54Peajs","nCS4ZIUYfx","dWAJyo7jo9","N41Kp7NANJ","k8jYdgA6NY","rysDP5nf3Z","3ViojmjbAp","DyGG3AbaNP","tifHPKVTfV","rJVOvQCfKK","12rbrZMWeM"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","rysDP5nf3Z","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍52","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=7347","layer":4},{"info":"number node, value=4867","layer":4},{"info":"compute binary expreesion, left_input=7347, right_input=4867, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=47252","layer":3},{"info":"number node, value=1166","layer":4},{"info":"compute unary expreesion, input=1166, 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=47252, 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=7157","layer":4},{"info":"number node, value=1063","layer":4},{"info":"compute binary expreesion, left_input=7157, right_input=1063, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1119","layer":4},{"info":"compute unary expreesion, input=1119, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-2238","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-2238, 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 = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":1},{"info":"number node, value=1074","layer":4},{"info":"number node, value=2784","layer":4},{"info":"compute binary expreesion, left_input=1074, right_input=2784, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2787","layer":3},{"info":"number node, value=2954","layer":4},{"info":"number node, value=3160","layer":4},{"info":"compute binary expreesion, left_input=2954, right_input=3160, 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=-2787, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=3130","layer":4},{"info":"number node, value=3058","layer":4},{"info":"compute binary expreesion, left_input=3130, right_input=3058, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3058","layer":3},{"info":"number node, value=1366","layer":4},{"info":"number node, value=3131","layer":4},{"info":"compute binary expreesion, left_input=1366, right_input=3131, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-686","layer":3},{"info":"compute binary expreesion, left_input=3058, right_input=-686, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-3744","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-3744, op_id = k8jYdgA6NY binary_op_definition= 'None', 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":13,"result_base":13,"text":"(((⪎⋱⫍3462⫡⨏⪎⋱⫍22A5)∲⫓(∂⪎⋱⫍6B9))⨸⪁⪎⋱⫍3347⪢⪎⋱⫍63A⨳⩥⨓(⪎⋱⫍681≋⫹))≎⊠⪸((⪎⋱⫍648⨓⪎⋱⫍1362-⪎⋱⫍1463∼⪎⋱⫍1591)%⪎⋱⫍156A⨎⪎⋱⫍1513⇼⇔∾⪎⋱⫍811⋳⪒⪎⋱⫍156B)=⪎⋱⫍52","reverse_text":"⪎⋱⫍52=(((⪎⋱⫍3462⫡⨏⪎⋱⫍22A5)∲⫓(∂⪎⋱⫍6B9))⨸⪁⪎⋱⫍3347⪢⪎⋱⫍63A⨳⩥⨓(⪎⋱⫍681≋⫹))≎⊠⪸((⪎⋱⫍648⨓⪎⋱⫍1362-⪎⋱⫍1463∼⪎⋱⫍1591)%⪎⋱⫍156A⨎⪎⋱⫍1513⇼⇔∾⪎⋱⫍811⋳⪒⪎⋱⫍156B)","cot":[{"info":"⪎⋱⫍3462⫡⨏⪎⋱⫍22A5=⪎⋱⫍1867A","layer":3},{"info":"∂⪎⋱⫍6B9=NaN","layer":3},{"info":"⪎⋱⫍1867A∲⫓NaN=NaN","layer":2},{"info":"⪎⋱⫍3347⪢⪎⋱⫍63A=NaN","layer":3},{"info":"⪎⋱⫍681≋⫹=⪎⋱⫍-1032","layer":3},{"info":"NaN⨳⩥⨓⪎⋱⫍-1032=NaN","layer":2},{"info":"NaN⨸⪁NaN=NaN","layer":1},{"info":"⪎⋱⫍648⨓⪎⋱⫍1362=⪎⋱⫍-1365","layer":3},{"info":"⪎⋱⫍1463∼⪎⋱⫍1591=NaN","layer":3},{"info":"⪎⋱⫍-1365-NaN=NaN","layer":2},{"info":"⪎⋱⫍156A⨎⪎⋱⫍1513=⪎⋱⫍1513","layer":3},{"info":"⪎⋱⫍811⋳⪒⪎⋱⫍156B=⪎⋱⫍-40A","layer":3},{"info":"⪎⋱⫍1513⇼⇔∾⪎⋱⫍-40A=⪎⋱⫍-1920","layer":2},{"info":"NaN%⪎⋱⫍-1920=NaN","layer":1},{"info":"NaN≎⊠⪸NaN=⪎⋱⫍52","layer":0}]}
{"id":451,"expression_no_base_symbol":"((↣≠⋷($6505$⫥∨⫟$2316$))⪄(($3211$⋓$1288$)⊪))∀⇚≩(((∂$4984$)+(⊙↵-$3854$))⨳⩥⨓($5243$⋝⋈⪟$4998$)⊴($3803$⇋≉))","expression":"((↣≠⋷(⪎⋱⫍2C65⫥∨⫟⪎⋱⫍1092))⪄((⪎⋱⫍1600⋓⪎⋱⫍781)⊪))∀⇚≩(((∂⪎⋱⫍2365)+(⊙↵-⪎⋱⫍19A6))⨳⩥⨓(⪎⋱⫍2504⋝⋈⪟⪎⋱⫍2376)⊴(⪎⋱⫍1967⇋≉))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":39483,"operation_count":13,"complexity_ratio":3037.153846153846,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":6505,"base":13},"right_expr":{"type":"numeric_atoms","value":2316,"base":13}}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":3211,"base":13},"right_expr":{"type":"numeric_atoms","value":1288,"base":13}}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":4984,"base":13}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":3854,"base":13}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":5243,"base":13},"right_expr":{"type":"numeric_atoms","value":4998,"base":13}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":3803,"base":13}}}}},"used_operators":["LRNGc0VcxI","SUmda5xLS4","Asc51vEJeQ","KYD54nUTWz","zVYPLywUTj","T2fj7uvVaJ","nCS4ZIUYfx","W4YGzv6Whe","Uaa54Peajs","oWn0xqSxBt","Nsiff2A1zJ","2DDjHMKMc0","XIabStNQrY"],"dependent_operators":["X99M06cbEe","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","XhwjNDsVaA","AHs5Up7iyr","8HhzD0ZcuI","rGHVDoGpnC","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","rysDP5nf3Z","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=6505","layer":4},{"info":"number node, value=2316","layer":4},{"info":"compute binary expreesion, left_input=6505, right_input=2316, 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":"number node, value=3211","layer":4},{"info":"number node, value=1288","layer":4},{"info":"compute binary expreesion, left_input=3211, right_input=1288, op_id = T2fj7uvVaJ binary_op_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 = 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 = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":1},{"info":"number node, value=4984","layer":4},{"info":"compute unary expreesion, input=4984, 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=3854","layer":4},{"info":"compute unary expreesion, input=3854, 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 = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=5243","layer":4},{"info":"number node, value=4998","layer":4},{"info":"compute binary expreesion, left_input=5243, right_input=4998, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=5243","layer":3},{"info":"number node, value=3803","layer":4},{"info":"compute unary expreesion, input=3803, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=7508","layer":3},{"info":"compute binary expreesion, left_input=5243, right_input=7508, 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 = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=3979, 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":13,"result_base":13,"text":"((↣≠⋷(⪎⋱⫍2C65⫥∨⫟⪎⋱⫍1092))⪄((⪎⋱⫍1600⋓⪎⋱⫍781)⊪))∀⇚≩(((∂⪎⋱⫍2365)+(⊙↵-⪎⋱⫍19A6))⨳⩥⨓(⪎⋱⫍2504⋝⋈⪟⪎⋱⫍2376)⊴(⪎⋱⫍1967⇋≉))=NaN","reverse_text":"NaN=((↣≠⋷(⪎⋱⫍2C65⫥∨⫟⪎⋱⫍1092))⪄((⪎⋱⫍1600⋓⪎⋱⫍781)⊪))∀⇚≩(((∂⪎⋱⫍2365)+(⊙↵-⪎⋱⫍19A6))⨳⩥⨓(⪎⋱⫍2504⋝⋈⪟⪎⋱⫍2376)⊴(⪎⋱⫍1967⇋≉))","cot":[{"info":"⪎⋱⫍2C65⫥∨⫟⪎⋱⫍1092=NaN","layer":3},{"info":"↣≠⋷NaN=NaN","layer":2},{"info":"⪎⋱⫍1600⋓⪎⋱⫍781=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍0⊪=⪎⋱⫍0","layer":2},{"info":"NaN⪄⪎⋱⫍0=⪎⋱⫍1A71","layer":1},{"info":"∂⪎⋱⫍2365=NaN","layer":3},{"info":"⊙↵-⪎⋱⫍19A6=⪎⋱⫍-1","layer":3},{"info":"NaN+⪎⋱⫍-1=NaN","layer":2},{"info":"⪎⋱⫍2504⋝⋈⪟⪎⋱⫍2376=⪎⋱⫍2504","layer":3},{"info":"⪎⋱⫍1967⇋≉=⪎⋱⫍3557","layer":3},{"info":"⪎⋱⫍2504⊴⪎⋱⫍3557=NaN","layer":2},{"info":"NaN⨳⩥⨓NaN=NaN","layer":1},{"info":"⪎⋱⫍1A71∀⇚≩NaN=NaN","layer":0}]}
{"id":452,"expression_no_base_symbol":"((($1003$⩨$1570$)∑⇟⊟(↣≠⋷$6423$))∧)↙(↯⪼(($7669$⋳⪒$2639$)∑⇟⊟$1940$≹⇙⪍$1179$))","expression":"(((⪎⋱⫍5C2⩨⪎⋱⫍93A)∑⇟⊟(↣≠⋷⪎⋱⫍2C01))∧)↙(↯⪼((⪎⋱⫍364C⋳⪒⪎⋱⫍1280)∑⇟⊟⪎⋱⫍B63≹⇙⪍⪎⋱⫍6C9))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":57,"operation_count":9,"complexity_ratio":6.333333333333333,"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":1003,"base":13},"right_expr":{"type":"numeric_atoms","value":1570,"base":13}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":6423,"base":13}}}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":7669,"base":13},"right_expr":{"type":"numeric_atoms","value":2639,"base":13}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1940,"base":13},"right_expr":{"type":"numeric_atoms","value":1179,"base":13}}}}},"used_operators":["yyfyN0ffXY","z63VuFQld9","U7g4x0WXJJ","2DlMacCsIx","Asc51vEJeQ","8jW3W4yZS5","12rbrZMWeM","AHs5Up7iyr"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","XhwjNDsVaA","AHs5Up7iyr","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1003","layer":4},{"info":"number node, value=1570","layer":4},{"info":"compute binary expreesion, left_input=1003, right_input=1570, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":3},{"info":"number node, value=6423","layer":4},{"info":"compute unary expreesion, input=6423, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-3, 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 = 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=7669","layer":4},{"info":"number node, value=2639","layer":4},{"info":"compute binary expreesion, left_input=7669, right_input=2639, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=12412","layer":3},{"info":"number node, value=1940","layer":4},{"info":"number node, value=1179","layer":4},{"info":"compute binary expreesion, left_input=1940, right_input=1179, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=12412, 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 = 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 = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(((⪎⋱⫍5C2⩨⪎⋱⫍93A)∑⇟⊟(↣≠⋷⪎⋱⫍2C01))∧)↙(↯⪼((⪎⋱⫍364C⋳⪒⪎⋱⫍1280)∑⇟⊟⪎⋱⫍B63≹⇙⪍⪎⋱⫍6C9))=NaN","reverse_text":"NaN=(((⪎⋱⫍5C2⩨⪎⋱⫍93A)∑⇟⊟(↣≠⋷⪎⋱⫍2C01))∧)↙(↯⪼((⪎⋱⫍364C⋳⪒⪎⋱⫍1280)∑⇟⊟⪎⋱⫍B63≹⇙⪍⪎⋱⫍6C9))","cot":[{"info":"⪎⋱⫍5C2⩨⪎⋱⫍93A=⪎⋱⫍-3","layer":3},{"info":"↣≠⋷⪎⋱⫍2C01=NaN","layer":3},{"info":"⪎⋱⫍-3∑⇟⊟NaN=NaN","layer":2},{"info":"NaN∧=NaN","layer":1},{"info":"⪎⋱⫍364C⋳⪒⪎⋱⫍1280=⪎⋱⫍585A","layer":3},{"info":"⪎⋱⫍B63≹⇙⪍⪎⋱⫍6C9=NaN","layer":3},{"info":"⪎⋱⫍585A∑⇟⊟NaN=NaN","layer":2},{"info":"↯⪼NaN=⪎⋱⫍-18","layer":1},{"info":"NaN↙⪎⋱⫍-18=NaN","layer":0}]}
{"id":453,"expression_no_base_symbol":"(($3815$⨳⩥⨓$5163$)⋓(⇁⨣⪵$2716$)⩚⊴⇥(⪝⪂⫅(⩦⩻⨪$1208$)))∑⇟⊟((⊄⩳↩$3314$)⨐⩸⫘$4701$⫥∨⫟$1040$⪒($7274$-$6494$)↺$1216$∀⇚≩$3772$)","expression":"((⪎⋱⫍1976⨳⩥⨓⪎⋱⫍2472)⋓(⇁⨣⪵⪎⋱⫍130C)⩚⊴⇥(⪝⪂⫅(⩦⩻⨪⪎⋱⫍71C)))∑⇟⊟((⊄⩳↩⪎⋱⫍167C)⨐⩸⫘⪎⋱⫍21A8⫥∨⫟⪎⋱⫍620⪒(⪎⋱⫍3407-⪎⋱⫍2C57)↺⪎⋱⫍727∀⇚≩⪎⋱⫍1942)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":8850,"operation_count":14,"complexity_ratio":632.1428571428571,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":3815,"base":13},"right_expr":{"type":"numeric_atoms","value":5163,"base":13}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":2716,"base":13}}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":1208,"base":13}}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":3314,"base":13}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":4701,"base":13},"right_expr":{"type":"numeric_atoms","value":1040,"base":13}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":7274,"base":13},"right_expr":{"type":"numeric_atoms","value":6494,"base":13}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1216,"base":13},"right_expr":{"type":"numeric_atoms","value":3772,"base":13}}}}},"used_operators":["U7g4x0WXJJ","NTOWxs364D","T2fj7uvVaJ","nCS4ZIUYfx","inkyxCbjAn","XTarYq4gQB","2td37pGCOC","f6k1SAg4EE","fu6greOZ01","8w2t5hMYqp","KYD54nUTWz","7j4O788W3g","rysDP5nf3Z","LRNGc0VcxI"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","rysDP5nf3Z","B5M0gjZbta","9HNa5Wba9A","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3815","layer":4},{"info":"number node, value=5163","layer":4},{"info":"compute binary expreesion, left_input=3815, right_input=5163, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=1348","layer":3},{"info":"number node, value=2716","layer":4},{"info":"compute unary expreesion, input=2716, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1348, 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=1208","layer":4},{"info":"compute unary expreesion, input=1208, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1208","layer":3},{"info":"compute unary expreesion, input=1208, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-177576","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-177576, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":1},{"info":"number node, value=3314","layer":4},{"info":"compute unary expreesion, input=3314, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-9942","layer":3},{"info":"number node, value=4701","layer":4},{"info":"number node, value=1040","layer":4},{"info":"compute binary expreesion, left_input=4701, right_input=1040, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-9942, 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=7274","layer":4},{"info":"number node, value=6494","layer":4},{"info":"compute binary expreesion, left_input=7274, right_input=6494, op_id = rysDP5nf3Z binary_op_definition= 'None', output=780","layer":3},{"info":"number node, value=1216","layer":4},{"info":"number node, value=3772","layer":4},{"info":"compute binary expreesion, left_input=1216, right_input=3772, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=780, right_input=nan, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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":13,"result_base":13,"text":"((⪎⋱⫍1976⨳⩥⨓⪎⋱⫍2472)⋓(⇁⨣⪵⪎⋱⫍130C)⩚⊴⇥(⪝⪂⫅(⩦⩻⨪⪎⋱⫍71C)))∑⇟⊟((⊄⩳↩⪎⋱⫍167C)⨐⩸⫘⪎⋱⫍21A8⫥∨⫟⪎⋱⫍620⪒(⪎⋱⫍3407-⪎⋱⫍2C57)↺⪎⋱⫍727∀⇚≩⪎⋱⫍1942)=NaN","reverse_text":"NaN=((⪎⋱⫍1976⨳⩥⨓⪎⋱⫍2472)⋓(⇁⨣⪵⪎⋱⫍130C)⩚⊴⇥(⪝⪂⫅(⩦⩻⨪⪎⋱⫍71C)))∑⇟⊟((⊄⩳↩⪎⋱⫍167C)⨐⩸⫘⪎⋱⫍21A8⫥∨⫟⪎⋱⫍620⪒(⪎⋱⫍3407-⪎⋱⫍2C57)↺⪎⋱⫍727∀⇚≩⪎⋱⫍1942)","cot":[{"info":"⪎⋱⫍1976⨳⩥⨓⪎⋱⫍2472=⪎⋱⫍7C9","layer":3},{"info":"⇁⨣⪵⪎⋱⫍130C=NaN","layer":3},{"info":"⪎⋱⫍7C9⋓NaN=NaN","layer":2},{"info":"⩦⩻⨪⪎⋱⫍71C=⪎⋱⫍71C","layer":3},{"info":"⪝⪂⫅⪎⋱⫍71C=⪎⋱⫍-62A99","layer":2},{"info":"NaN⩚⊴⇥⪎⋱⫍-62A99=NaN","layer":1},{"info":"⊄⩳↩⪎⋱⫍167C=⪎⋱⫍-46AA","layer":3},{"info":"⪎⋱⫍21A8⫥∨⫟⪎⋱⫍620=NaN","layer":3},{"info":"⪎⋱⫍-46AA⨐⩸⫘NaN=NaN","layer":2},{"info":"⪎⋱⫍3407-⪎⋱⫍2C57=⪎⋱⫍480","layer":3},{"info":"⪎⋱⫍727∀⇚≩⪎⋱⫍1942=NaN","layer":3},{"info":"⪎⋱⫍480↺NaN=NaN","layer":2},{"info":"NaN⪒NaN=NaN","layer":1},{"info":"NaN∑⇟⊟NaN=NaN","layer":0}]}
{"id":454,"expression_no_base_symbol":"(∥⊫$1099$⨳⩥⨓$3561$)⊴(($3910$⋳⪒$3210$)⩷∴$2039$≹⇙⪍$1256$)⪢(($1646$/$3763$⨵⪆$1221$⇷$2749$)⋝⋈⪟(($1513$↙$1190$)⋳⪒$2519$+⇶⊼$4100$))","expression":"(∥⊫⪎⋱⫍667⨳⩥⨓⪎⋱⫍180C)⊴((⪎⋱⫍1A1A⋳⪒⪎⋱⫍15CC)⩷∴⪎⋱⫍C0B≹⇙⪍⪎⋱⫍758)⪢((⪎⋱⫍998/⪎⋱⫍1936⨵⪆⪎⋱⫍72C⇷⪎⋱⫍1336)⋝⋈⪟((⪎⋱⫍8C5↙⪎⋱⫍707)⋳⪒⪎⋱⫍11BA+⇶⊼⪎⋱⫍1B35))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":18335,"operation_count":14,"complexity_ratio":1309.642857142857,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1099,"base":13},"right_expr":{"type":"numeric_atoms","value":3561,"base":13}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":3910,"base":13},"right_expr":{"type":"numeric_atoms","value":3210,"base":13}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2039,"base":13},"right_expr":{"type":"numeric_atoms","value":1256,"base":13}}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1646,"base":13},"right_expr":{"type":"numeric_atoms","value":3763,"base":13}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1221,"base":13},"right_expr":{"type":"numeric_atoms","value":2749,"base":13}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1513,"base":13},"right_expr":{"type":"numeric_atoms","value":1190,"base":13}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2519,"base":13},"right_expr":{"type":"numeric_atoms","value":4100,"base":13}}}}},"used_operators":["dWAJyo7jo9","Nsiff2A1zJ","P8v4zCKN1o","nCS4ZIUYfx","9FxExcQeMw","12rbrZMWeM","AHs5Up7iyr","2DDjHMKMc0","2DQ55sFlQl","XhwjNDsVaA","mp7IySMOzn","yyfyN0ffXY","TpPTUOHfaN"],"dependent_operators":["k8jYdgA6NY","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","tmPS8pqC7x","DpFCA1CohY","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1099","layer":4},{"info":"number node, value=3561","layer":4},{"info":"compute binary expreesion, left_input=1099, right_input=3561, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=2462","layer":3},{"info":"compute unary expreesion, input=2462, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=3330","layer":2},{"info":"number node, value=3910","layer":4},{"info":"number node, value=3210","layer":4},{"info":"compute binary expreesion, left_input=3910, right_input=3210, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=4323","layer":3},{"info":"number node, value=2039","layer":4},{"info":"number node, value=1256","layer":4},{"info":"compute binary expreesion, left_input=2039, right_input=1256, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=4323, 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=3330, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=1646","layer":4},{"info":"number node, value=3763","layer":4},{"info":"compute binary expreesion, left_input=1646, right_input=3763, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=1221","layer":4},{"info":"number node, value=2749","layer":4},{"info":"compute binary expreesion, left_input=1221, right_input=2749, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=5498","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=5498, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=1513","layer":4},{"info":"number node, value=1190","layer":4},{"info":"compute binary expreesion, left_input=1513, right_input=1190, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3570","layer":3},{"info":"number node, value=2519","layer":4},{"info":"number node, value=4100","layer":4},{"info":"compute binary expreesion, left_input=2519, right_input=4100, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=-3570, 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=160, 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 = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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":13,"result_base":13,"text":"(∥⊫⪎⋱⫍667⨳⩥⨓⪎⋱⫍180C)⊴((⪎⋱⫍1A1A⋳⪒⪎⋱⫍15CC)⩷∴⪎⋱⫍C0B≹⇙⪍⪎⋱⫍758)⪢((⪎⋱⫍998/⪎⋱⫍1936⨵⪆⪎⋱⫍72C⇷⪎⋱⫍1336)⋝⋈⪟((⪎⋱⫍8C5↙⪎⋱⫍707)⋳⪒⪎⋱⫍11BA+⇶⊼⪎⋱⫍1B35))=NaN","reverse_text":"NaN=(∥⊫⪎⋱⫍667⨳⩥⨓⪎⋱⫍180C)⊴((⪎⋱⫍1A1A⋳⪒⪎⋱⫍15CC)⩷∴⪎⋱⫍C0B≹⇙⪍⪎⋱⫍758)⪢((⪎⋱⫍998/⪎⋱⫍1936⨵⪆⪎⋱⫍72C⇷⪎⋱⫍1336)⋝⋈⪟((⪎⋱⫍8C5↙⪎⋱⫍707)⋳⪒⪎⋱⫍11BA+⇶⊼⪎⋱⫍1B35))","cot":[{"info":"⪎⋱⫍667⨳⩥⨓⪎⋱⫍180C=⪎⋱⫍1175","layer":3},{"info":"∥⊫⪎⋱⫍1175=⪎⋱⫍1692","layer":2},{"info":"⪎⋱⫍1A1A⋳⪒⪎⋱⫍15CC=⪎⋱⫍1C77","layer":3},{"info":"⪎⋱⫍C0B≹⇙⪍⪎⋱⫍758=NaN","layer":3},{"info":"⪎⋱⫍1C77⩷∴NaN=NaN","layer":2},{"info":"⪎⋱⫍1692⊴NaN=NaN","layer":1},{"info":"⪎⋱⫍998/⪎⋱⫍1936=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍72C⇷⪎⋱⫍1336=⪎⋱⫍266C","layer":3},{"info":"⪎⋱⫍0⨵⪆⪎⋱⫍266C=⪎⋱⫍C4","layer":2},{"info":"⪎⋱⫍8C5↙⪎⋱⫍707=⪎⋱⫍-1818","layer":3},{"info":"⪎⋱⫍11BA+⇶⊼⪎⋱⫍1B35=NaN","layer":3},{"info":"⪎⋱⫍-1818⋳⪒NaN=NaN","layer":2},{"info":"⪎⋱⫍C4⋝⋈⪟NaN=NaN","layer":1},{"info":"NaN⪢NaN=NaN","layer":0}]}
{"id":455,"expression_no_base_symbol":"(⫛⫱⨽($3638$∼$1250$∑⇟⊟($1022$⊭∹↮)))≹⇙⪍(⪝⪂⫅($1594$⫸⊐$3250$⪨≂($2160$⊠≄⫣)))","expression":"(⫛⫱⨽(⪎⋱⫍186B∼⪎⋱⫍752∑⇟⊟(⪎⋱⫍608⊭∹↮)))≹⇙⪍(⪝⪂⫅(⪎⋱⫍958⫸⊐⪎⋱⫍1630⪨≂(⪎⋱⫍CA2⊠≄⫣)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1175,"operation_count":9,"complexity_ratio":130.55555555555554,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":3638,"base":13},"right_expr":{"type":"numeric_atoms","value":1250,"base":13}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":1022,"base":13}}}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1594,"base":13},"right_expr":{"type":"numeric_atoms","value":3250,"base":13}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":2160,"base":13}}}}},"used_operators":["AHs5Up7iyr","DlLNRPXxWL","U7g4x0WXJJ","DyGG3AbaNP","xNBdhnnwKq","XTarYq4gQB","sdazOOVcIp","mqXw5SEYmG","DIvbN7qnHd"],"dependent_operators":["dWAJyo7jo9","rGHVDoGpnC","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","9HNa5Wba9A","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3638","layer":4},{"info":"number node, value=1250","layer":4},{"info":"compute binary expreesion, left_input=3638, right_input=1250, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"number node, value=1022","layer":4},{"info":"compute unary expreesion, input=1022, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=2044","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2044, 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 = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=nan","layer":1},{"info":"number node, value=1594","layer":4},{"info":"number node, value=3250","layer":4},{"info":"compute binary expreesion, left_input=1594, right_input=3250, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=12875","layer":3},{"info":"number node, value=2160","layer":4},{"info":"compute unary expreesion, input=2160, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=12875, 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=25852","layer":2},{"info":"compute unary expreesion, input=25852, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-3800244","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-3800244, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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":13,"result_base":13,"text":"(⫛⫱⨽(⪎⋱⫍186B∼⪎⋱⫍752∑⇟⊟(⪎⋱⫍608⊭∹↮)))≹⇙⪍(⪝⪂⫅(⪎⋱⫍958⫸⊐⪎⋱⫍1630⪨≂(⪎⋱⫍CA2⊠≄⫣)))=NaN","reverse_text":"NaN=(⫛⫱⨽(⪎⋱⫍186B∼⪎⋱⫍752∑⇟⊟(⪎⋱⫍608⊭∹↮)))≹⇙⪍(⪝⪂⫅(⪎⋱⫍958⫸⊐⪎⋱⫍1630⪨≂(⪎⋱⫍CA2⊠≄⫣)))","cot":[{"info":"⪎⋱⫍186B∼⪎⋱⫍752=NaN","layer":3},{"info":"⪎⋱⫍608⊭∹↮=⪎⋱⫍C13","layer":3},{"info":"NaN∑⇟⊟⪎⋱⫍C13=NaN","layer":2},{"info":"⫛⫱⨽NaN=NaN","layer":1},{"info":"⪎⋱⫍958⫸⊐⪎⋱⫍1630=⪎⋱⫍5B25","layer":3},{"info":"⪎⋱⫍CA2⊠≄⫣=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍5B25⪨≂⪎⋱⫍0=⪎⋱⫍B9C8","layer":2},{"info":"⪝⪂⫅⪎⋱⫍B9C8=⪎⋱⫍-A30986","layer":1},{"info":"NaN≹⇙⪍⪎⋱⫍-A30986=NaN","layer":0}]}
{"id":456,"expression_no_base_symbol":"($2237$-$3307$)≎⊠⪸($8765$⪐)⊉≛↸($2649$⪛$3083$-($1071$≫≃))⇼⇔∾(((≦∁$1474$)⊉≛↸($7732$∧))≫≃)","expression":"(⪎⋱⫍1031-⪎⋱⫍1675)≎⊠⪸(⪎⋱⫍3CB3⪐)⊉≛↸(⪎⋱⫍128A⪛⪎⋱⫍1532-(⪎⋱⫍645≫≃))⇼⇔∾(((≦∁⪎⋱⫍895)⊉≛↸(⪎⋱⫍369A∧))≫≃)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":306,"operation_count":12,"complexity_ratio":25.5,"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":2237,"base":13},"right_expr":{"type":"numeric_atoms","value":3307,"base":13}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":8765,"base":13}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2649,"base":13},"right_expr":{"type":"numeric_atoms","value":3083,"base":13}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":1071,"base":13}}}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":1474,"base":13}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":7732,"base":13}}}}},"used_operators":["tifHPKVTfV","DZ8iAZOCBD","bJkvcejdHO","rysDP5nf3Z","eH2TOUuTDT","uFcxV4UQCh","X99M06cbEe","9ICcGScMcE","z63VuFQld9"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr"],"result":"⪎⋱⫍-161C61","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2237","layer":4},{"info":"number node, value=3307","layer":4},{"info":"compute binary expreesion, left_input=2237, right_input=3307, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-1070","layer":3},{"info":"number node, value=8765","layer":4},{"info":"compute unary expreesion, input=8765, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=17530","layer":3},{"info":"compute binary expreesion, left_input=-1070, right_input=17530, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=277130","layer":2},{"info":"number node, value=2649","layer":4},{"info":"number node, value=3083","layer":4},{"info":"compute binary expreesion, left_input=2649, right_input=3083, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2649","layer":3},{"info":"number node, value=1071","layer":4},{"info":"compute unary expreesion, input=1071, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=3543","layer":3},{"info":"compute binary expreesion, left_input=2649, right_input=3543, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-894","layer":2},{"info":"compute binary expreesion, left_input=277130, right_input=-894, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=554260","layer":1},{"info":"number node, value=1474","layer":4},{"info":"compute unary expreesion, input=1474, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1474","layer":3},{"info":"number node, value=7732","layer":4},{"info":"compute unary expreesion, input=7732, 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=1474, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2948","layer":2},{"info":"compute unary expreesion, input=2948, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=7297","layer":1},{"info":"compute binary expreesion, left_input=554260, right_input=7297, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-546963","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍1031-⪎⋱⫍1675)≎⊠⪸(⪎⋱⫍3CB3⪐)⊉≛↸(⪎⋱⫍128A⪛⪎⋱⫍1532-(⪎⋱⫍645≫≃))⇼⇔∾(((≦∁⪎⋱⫍895)⊉≛↸(⪎⋱⫍369A∧))≫≃)=⪎⋱⫍-161C61","reverse_text":"⪎⋱⫍-161C61=(⪎⋱⫍1031-⪎⋱⫍1675)≎⊠⪸(⪎⋱⫍3CB3⪐)⊉≛↸(⪎⋱⫍128A⪛⪎⋱⫍1532-(⪎⋱⫍645≫≃))⇼⇔∾(((≦∁⪎⋱⫍895)⊉≛↸(⪎⋱⫍369A∧))≫≃)","cot":[{"info":"⪎⋱⫍1031-⪎⋱⫍1675=⪎⋱⫍-644","layer":3},{"info":"⪎⋱⫍3CB3⪐=⪎⋱⫍7C96","layer":3},{"info":"⪎⋱⫍-644≎⊠⪸⪎⋱⫍7C96=⪎⋱⫍991A9","layer":2},{"info":"⪎⋱⫍128A⪛⪎⋱⫍1532=⪎⋱⫍128A","layer":3},{"info":"⪎⋱⫍645≫≃=⪎⋱⫍17C7","layer":3},{"info":"⪎⋱⫍128A-⪎⋱⫍17C7=⪎⋱⫍-53A","layer":2},{"info":"⪎⋱⫍991A9⊉≛↸⪎⋱⫍-53A=⪎⋱⫍165385","layer":1},{"info":"≦∁⪎⋱⫍895=⪎⋱⫍895","layer":3},{"info":"⪎⋱⫍369A∧=NaN","layer":3},{"info":"⪎⋱⫍895⊉≛↸NaN=⪎⋱⫍145A","layer":2},{"info":"⪎⋱⫍145A≫≃=⪎⋱⫍3424","layer":1},{"info":"⪎⋱⫍165385⇼⇔∾⪎⋱⫍3424=⪎⋱⫍-161C61","layer":0}]}
{"id":457,"expression_no_base_symbol":"⨈⫕(⨰⫟⨤($7286$⨽$1554$))⋳⪒((⊙↵-$2629$)⫡⨏$1619$∲⫓$3243$)","expression":"⨈⫕(⨰⫟⨤(⪎⋱⫍3416⨽⪎⋱⫍927))⋳⪒((⊙↵-⪎⋱⫍1273)⫡⨏⪎⋱⫍977∲⫓⪎⋱⫍1626)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":318532738,"operation_count":7,"complexity_ratio":45504676.85714286,"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":7286,"base":13},"right_expr":{"type":"numeric_atoms","value":1554,"base":13}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":2629,"base":13}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1619,"base":13},"right_expr":{"type":"numeric_atoms","value":3243,"base":13}}}}},"used_operators":["megm06wKyl","12rbrZMWeM","Tw270M8GLb","8HhzD0ZcuI","QMFrweE19q","oWn0xqSxBt","i8ToyICDmI"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍-18","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=7286","layer":4},{"info":"number node, value=1554","layer":4},{"info":"compute binary expreesion, left_input=7286, right_input=1554, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-159260736","layer":3},{"info":"compute unary expreesion, input=-159260736, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":2},{"info":"number node, value=2629","layer":4},{"info":"compute unary expreesion, input=2629, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=1619","layer":4},{"info":"number node, value=3243","layer":4},{"info":"compute binary expreesion, left_input=1619, right_input=3243, 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=-1, 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=778","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=778, 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 = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":0}],"base":13,"result_base":13,"text":"⨈⫕(⨰⫟⨤(⪎⋱⫍3416⨽⪎⋱⫍927))⋳⪒((⊙↵-⪎⋱⫍1273)⫡⨏⪎⋱⫍977∲⫓⪎⋱⫍1626)=⪎⋱⫍-18","reverse_text":"⪎⋱⫍-18=⨈⫕(⨰⫟⨤(⪎⋱⫍3416⨽⪎⋱⫍927))⋳⪒((⊙↵-⪎⋱⫍1273)⫡⨏⪎⋱⫍977∲⫓⪎⋱⫍1626)","cot":[{"info":"⪎⋱⫍3416⨽⪎⋱⫍927=⪎⋱⫍-26CC212B","layer":3},{"info":"⨰⫟⨤⪎⋱⫍-26CC212B=NaN","layer":2},{"info":"⊙↵-⪎⋱⫍1273=⪎⋱⫍-1","layer":3},{"info":"⪎⋱⫍977∲⫓⪎⋱⫍1626=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍-1⫡⨏⪎⋱⫍0=⪎⋱⫍47B","layer":2},{"info":"NaN⋳⪒⪎⋱⫍47B=NaN","layer":1},{"info":"⨈⫕NaN=⪎⋱⫍-18","layer":0}]}
{"id":458,"expression_no_base_symbol":"(($5287$*$1604$%$2928$⨪↰⇹$1471$)⩨(∂(↔$1187$)))+⇶⊼(($1650$⩨$1867$)⊭∹↮)⪛((⨰⫟⨤$3513$)-(⪝⪂⫅$2751$))","expression":"((⪎⋱⫍2539*⪎⋱⫍965%⪎⋱⫍1443⨪↰⇹⪎⋱⫍892)⩨(∂(↔⪎⋱⫍704)))+⇶⊼((⪎⋱⫍99C⩨⪎⋱⫍B08)⊭∹↮)⪛((⨰⫟⨤⪎⋱⫍17A3)-(⪝⪂⫅⪎⋱⫍1338))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":21229,"operation_count":13,"complexity_ratio":1633.0,"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":5287,"base":13},"right_expr":{"type":"numeric_atoms","value":1604,"base":13}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2928,"base":13},"right_expr":{"type":"numeric_atoms","value":1471,"base":13}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":1187,"base":13}}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1650,"base":13},"right_expr":{"type":"numeric_atoms","value":1867,"base":13}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":3513,"base":13}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":2751,"base":13}}}}},"used_operators":["TpPTUOHfaN","2DlMacCsIx","k8jYdgA6NY","9HNa5Wba9A","tmPS8pqC7x","Uaa54Peajs","ruOEQAzv1W","uFcxV4UQCh","xNBdhnnwKq","rysDP5nf3Z","Tw270M8GLb","XTarYq4gQB"],"dependent_operators":["AHs5Up7iyr","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","W4YGzv6Whe","rJVOvQCfKK","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","9HNa5Wba9A","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5287","layer":4},{"info":"number node, value=1604","layer":4},{"info":"compute binary expreesion, left_input=5287, right_input=1604, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=8480348","layer":3},{"info":"number node, value=2928","layer":4},{"info":"number node, value=1471","layer":4},{"info":"compute binary expreesion, left_input=2928, right_input=1471, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=2928","layer":3},{"info":"compute binary expreesion, left_input=8480348, right_input=2928, op_id = k8jYdgA6NY binary_op_definition= 'None', output=860","layer":2},{"info":"number node, value=1187","layer":4},{"info":"compute unary expreesion, input=1187, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-914","layer":3},{"info":"compute unary expreesion, input=-914, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=650","layer":2},{"info":"compute binary expreesion, left_input=860, right_input=650, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":1},{"info":"number node, value=1650","layer":4},{"info":"number node, value=1867","layer":4},{"info":"compute binary expreesion, left_input=1650, right_input=1867, 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 = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=-3","layer":2},{"info":"number node, value=3513","layer":4},{"info":"compute unary expreesion, input=3513, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=2751","layer":4},{"info":"compute unary expreesion, input=2751, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-404397","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-404397, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-3, 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 = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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":13,"result_base":13,"text":"((⪎⋱⫍2539*⪎⋱⫍965%⪎⋱⫍1443⨪↰⇹⪎⋱⫍892)⩨(∂(↔⪎⋱⫍704)))+⇶⊼((⪎⋱⫍99C⩨⪎⋱⫍B08)⊭∹↮)⪛((⨰⫟⨤⪎⋱⫍17A3)-(⪝⪂⫅⪎⋱⫍1338))=NaN","reverse_text":"NaN=((⪎⋱⫍2539*⪎⋱⫍965%⪎⋱⫍1443⨪↰⇹⪎⋱⫍892)⩨(∂(↔⪎⋱⫍704)))+⇶⊼((⪎⋱⫍99C⩨⪎⋱⫍B08)⊭∹↮)⪛((⨰⫟⨤⪎⋱⫍17A3)-(⪝⪂⫅⪎⋱⫍1338))","cot":[{"info":"⪎⋱⫍2539*⪎⋱⫍965=⪎⋱⫍19ABC76","layer":3},{"info":"⪎⋱⫍1443⨪↰⇹⪎⋱⫍892=⪎⋱⫍1443","layer":3},{"info":"⪎⋱⫍19ABC76%⪎⋱⫍1443=⪎⋱⫍512","layer":2},{"info":"↔⪎⋱⫍704=⪎⋱⫍-554","layer":3},{"info":"∂⪎⋱⫍-554=⪎⋱⫍3B0","layer":2},{"info":"⪎⋱⫍512⩨⪎⋱⫍3B0=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍99C⩨⪎⋱⫍B08=⪎⋱⫍-3","layer":3},{"info":"⪎⋱⫍-3⊭∹↮=⪎⋱⫍-3","layer":2},{"info":"⨰⫟⨤⪎⋱⫍17A3=NaN","layer":3},{"info":"⪝⪂⫅⪎⋱⫍1338=⪎⋱⫍-1120B6","layer":3},{"info":"NaN-⪎⋱⫍-1120B6=NaN","layer":2},{"info":"⪎⋱⫍-3⪛NaN=NaN","layer":1},{"info":"⪎⋱⫍0+⇶⊼NaN=NaN","layer":0}]}
{"id":459,"expression_no_base_symbol":"((($6745$⋳⪒$5068$)∸)-(∂$1368$)⩚⊴⇥($1153$⨐⩸⫘$3549$))≎⊠⪸((∂$2805$)⫥∨⫟($2808$⊭↱$5145$))≹⇙⪍($5408$*$1283$⪒(⪲⇎$7453$))","expression":"(((⪎⋱⫍30BB⋳⪒⪎⋱⫍23CB)∸)-(∂⪎⋱⫍813)⩚⊴⇥(⪎⋱⫍6A9⨐⩸⫘⪎⋱⫍1800))≎⊠⪸((∂⪎⋱⫍137A)⫥∨⫟(⪎⋱⫍1380⊭↱⪎⋱⫍245A))≹⇙⪍(⪎⋱⫍2600*⪎⋱⫍779⪒(⪲⇎⪎⋱⫍3514))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1651,"operation_count":14,"complexity_ratio":117.92857142857143,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":6745,"base":13},"right_expr":{"type":"numeric_atoms","value":5068,"base":13}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":1368,"base":13}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1153,"base":13},"right_expr":{"type":"numeric_atoms","value":3549,"base":13}}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":2805,"base":13}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":2808,"base":13},"right_expr":{"type":"numeric_atoms","value":5145,"base":13}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":5408,"base":13},"right_expr":{"type":"numeric_atoms","value":1283,"base":13}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":7453,"base":13}}}}},"used_operators":["bJkvcejdHO","rysDP5nf3Z","o20kRiQErp","12rbrZMWeM","NTOWxs364D","Uaa54Peajs","fu6greOZ01","AHs5Up7iyr","KYD54nUTWz","COABgblf1C","f6k1SAg4EE","9HNa5Wba9A","XPYlsWDdGa"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","tmPS8pqC7x","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","3ViojmjbAp","dWAJyo7jo9","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍52","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=6745","layer":4},{"info":"number node, value=5068","layer":4},{"info":"compute binary expreesion, left_input=6745, right_input=5068, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=8135","layer":3},{"info":"compute unary expreesion, input=8135, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":2},{"info":"number node, value=1368","layer":4},{"info":"compute unary expreesion, input=1368, 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=1153","layer":4},{"info":"number node, value=3549","layer":4},{"info":"compute binary expreesion, left_input=1153, right_input=3549, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=177, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=2805","layer":4},{"info":"compute unary expreesion, input=2805, 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=2808","layer":4},{"info":"number node, value=5145","layer":4},{"info":"compute binary expreesion, left_input=2808, right_input=5145, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=4679","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4679, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=5408","layer":4},{"info":"number node, value=1283","layer":4},{"info":"compute binary expreesion, left_input=5408, right_input=1283, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=6938464","layer":3},{"info":"number node, value=7453","layer":4},{"info":"compute unary expreesion, input=7453, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=14906","layer":3},{"info":"compute binary expreesion, left_input=6938464, right_input=14906, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-6953370","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-6953370, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":0}],"base":13,"result_base":13,"text":"(((⪎⋱⫍30BB⋳⪒⪎⋱⫍23CB)∸)-(∂⪎⋱⫍813)⩚⊴⇥(⪎⋱⫍6A9⨐⩸⫘⪎⋱⫍1800))≎⊠⪸((∂⪎⋱⫍137A)⫥∨⫟(⪎⋱⫍1380⊭↱⪎⋱⫍245A))≹⇙⪍(⪎⋱⫍2600*⪎⋱⫍779⪒(⪲⇎⪎⋱⫍3514))=⪎⋱⫍52","reverse_text":"⪎⋱⫍52=(((⪎⋱⫍30BB⋳⪒⪎⋱⫍23CB)∸)-(∂⪎⋱⫍813)⩚⊴⇥(⪎⋱⫍6A9⨐⩸⫘⪎⋱⫍1800))≎⊠⪸((∂⪎⋱⫍137A)⫥∨⫟(⪎⋱⫍1380⊭↱⪎⋱⫍245A))≹⇙⪍(⪎⋱⫍2600*⪎⋱⫍779⪒(⪲⇎⪎⋱⫍3514))","cot":[{"info":"⪎⋱⫍30BB⋳⪒⪎⋱⫍23CB=⪎⋱⫍391A","layer":3},{"info":"⪎⋱⫍391A∸=⪎⋱⫍108","layer":2},{"info":"∂⪎⋱⫍813=NaN","layer":3},{"info":"⪎⋱⫍6A9⨐⩸⫘⪎⋱⫍1800=NaN","layer":3},{"info":"NaN⩚⊴⇥NaN=NaN","layer":2},{"info":"⪎⋱⫍108-NaN=NaN","layer":1},{"info":"∂⪎⋱⫍137A=NaN","layer":3},{"info":"⪎⋱⫍1380⊭↱⪎⋱⫍245A=⪎⋱⫍218C","layer":3},{"info":"NaN⫥∨⫟⪎⋱⫍218C=NaN","layer":2},{"info":"⪎⋱⫍2600*⪎⋱⫍779=⪎⋱⫍158C200","layer":3},{"info":"⪲⇎⪎⋱⫍3514=⪎⋱⫍6A28","layer":3},{"info":"⪎⋱⫍158C200⪒⪎⋱⫍6A28=⪎⋱⫍-1595C28","layer":2},{"info":"NaN≹⇙⪍⪎⋱⫍-1595C28=NaN","layer":1},{"info":"NaN≎⊠⪸NaN=⪎⋱⫍52","layer":0}]}
{"id":460,"expression_no_base_symbol":"(⊄⩳↩((⇁⨣⪵$2090$)⩨$1085$⨐⩸⫘$1026$))⇼⇔∾(($9150$≦≮≮)≧⫂∧($3428$⋝⋈⪟$6618$))⇷($1250$⪘⫢$2099$⊉≛↸(↩$1103$))","expression":"(⊄⩳↩((⇁⨣⪵⪎⋱⫍C4A)⩨⪎⋱⫍656⨐⩸⫘⪎⋱⫍60C))⇼⇔∾((⪎⋱⫍421B≦≮≮)≧⫂∧(⪎⋱⫍1739⋝⋈⪟⪎⋱⫍3021))⇷(⪎⋱⫍752⪘⫢⪎⋱⫍C56⊉≛↸(↩⪎⋱⫍66B))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":41427,"operation_count":12,"complexity_ratio":3452.25,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":2090,"base":13}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1085,"base":13},"right_expr":{"type":"numeric_atoms","value":1026,"base":13}}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":9150,"base":13}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":3428,"base":13},"right_expr":{"type":"numeric_atoms","value":6618,"base":13}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1250,"base":13},"right_expr":{"type":"numeric_atoms","value":2099,"base":13}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":1103,"base":13}}}}},"used_operators":["tifHPKVTfV","8w2t5hMYqp","2DlMacCsIx","inkyxCbjAn","fu6greOZ01","mp7IySMOzn","Ph9nP6C5qx","D4vGDi5EA2","2DDjHMKMc0","DZ8iAZOCBD","oacrs7FA3X","jLgFTUHLKL"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","B5M0gjZbta","3ViojmjbAp","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2090","layer":4},{"info":"compute unary expreesion, input=2090, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=1085","layer":4},{"info":"number node, value=1026","layer":4},{"info":"compute binary expreesion, left_input=1085, right_input=1026, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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 = 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 = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=nan","layer":1},{"info":"number node, value=9150","layer":4},{"info":"compute unary expreesion, input=9150, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-27450","layer":3},{"info":"number node, value=3428","layer":4},{"info":"number node, value=6618","layer":4},{"info":"compute binary expreesion, left_input=3428, right_input=6618, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3428","layer":3},{"info":"compute binary expreesion, left_input=-27450, right_input=3428, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2955","layer":2},{"info":"number node, value=1250","layer":4},{"info":"number node, value=2099","layer":4},{"info":"compute binary expreesion, left_input=1250, right_input=2099, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2376","layer":3},{"info":"number node, value=1103","layer":4},{"info":"compute unary expreesion, input=1103, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-6044","layer":3},{"info":"compute binary expreesion, left_input=2376, right_input=-6044, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=4752","layer":2},{"info":"compute binary expreesion, left_input=2955, right_input=4752, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=9504","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=9504, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⊄⩳↩((⇁⨣⪵⪎⋱⫍C4A)⩨⪎⋱⫍656⨐⩸⫘⪎⋱⫍60C))⇼⇔∾((⪎⋱⫍421B≦≮≮)≧⫂∧(⪎⋱⫍1739⋝⋈⪟⪎⋱⫍3021))⇷(⪎⋱⫍752⪘⫢⪎⋱⫍C56⊉≛↸(↩⪎⋱⫍66B))=NaN","reverse_text":"NaN=(⊄⩳↩((⇁⨣⪵⪎⋱⫍C4A)⩨⪎⋱⫍656⨐⩸⫘⪎⋱⫍60C))⇼⇔∾((⪎⋱⫍421B≦≮≮)≧⫂∧(⪎⋱⫍1739⋝⋈⪟⪎⋱⫍3021))⇷(⪎⋱⫍752⪘⫢⪎⋱⫍C56⊉≛↸(↩⪎⋱⫍66B))","cot":[{"info":"⇁⨣⪵⪎⋱⫍C4A=NaN","layer":3},{"info":"⪎⋱⫍656⨐⩸⫘⪎⋱⫍60C=NaN","layer":3},{"info":"NaN⩨NaN=NaN","layer":2},{"info":"⊄⩳↩NaN=NaN","layer":1},{"info":"⪎⋱⫍421B≦≮≮=⪎⋱⫍-C657","layer":3},{"info":"⪎⋱⫍1739⋝⋈⪟⪎⋱⫍3021=⪎⋱⫍1739","layer":3},{"info":"⪎⋱⫍-C657≧⫂∧⪎⋱⫍1739=⪎⋱⫍1464","layer":2},{"info":"⪎⋱⫍752⪘⫢⪎⋱⫍C56=⪎⋱⫍110A","layer":3},{"info":"↩⪎⋱⫍66B=⪎⋱⫍-299C","layer":3},{"info":"⪎⋱⫍110A⊉≛↸⪎⋱⫍-299C=⪎⋱⫍2217","layer":2},{"info":"⪎⋱⫍1464⇷⪎⋱⫍2217=⪎⋱⫍4431","layer":1},{"info":"NaN⇼⇔∾⪎⋱⫍4431=NaN","layer":0}]}
{"id":461,"expression_no_base_symbol":"(((≉$6294$)⩨$6597$≎⊠⪸$1524$)⨽(($2293$+$6205$)⪒$4439$∼$6497$))⨐⩸⫘(⩦⩻⨪(≦∁($3056$⊘)))","expression":"(((≉⪎⋱⫍2B32)⩨⪎⋱⫍3006≎⊠⪸⪎⋱⫍903)⨽((⪎⋱⫍1075+⪎⋱⫍2A94)⪒⪎⋱⫍2036∼⪎⋱⫍2C5A))⨐⩸⫘(⩦⩻⨪(≦∁(⪎⋱⫍1511⊘)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":105746,"operation_count":11,"complexity_ratio":9613.272727272728,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":6294,"base":13}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":6597,"base":13},"right_expr":{"type":"numeric_atoms","value":1524,"base":13}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2293,"base":13},"right_expr":{"type":"numeric_atoms","value":6205,"base":13}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":4439,"base":13},"right_expr":{"type":"numeric_atoms","value":6497,"base":13}}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":3056,"base":13}}}}},"used_operators":["fu6greOZ01","8HhzD0ZcuI","2DlMacCsIx","e1ybzncUwg","bJkvcejdHO","f6k1SAg4EE","W4YGzv6Whe","DyGG3AbaNP","2td37pGCOC","9ICcGScMcE","gu96TGCTMs"],"dependent_operators":["3ViojmjbAp","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D"],"result":"⪎⋱⫍-1B5","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=6294","layer":4},{"info":"compute unary expreesion, input=6294, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=6825","layer":3},{"info":"number node, value=6597","layer":4},{"info":"number node, value=1524","layer":4},{"info":"compute binary expreesion, left_input=6597, right_input=1524, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1708150","layer":3},{"info":"compute binary expreesion, left_input=6825, right_input=1708150, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-750","layer":2},{"info":"number node, value=2293","layer":4},{"info":"number node, value=6205","layer":4},{"info":"compute binary expreesion, left_input=2293, right_input=6205, op_id = W4YGzv6Whe binary_op_definition= 'None', output=8498","layer":3},{"info":"number node, value=4439","layer":4},{"info":"number node, value=6497","layer":4},{"info":"compute binary expreesion, left_input=4439, right_input=6497, 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=8498, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-750, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":1},{"info":"number node, value=3056","layer":4},{"info":"compute unary expreesion, input=3056, 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 = 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 = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=-320","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-320, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=-317","layer":0}],"base":13,"result_base":13,"text":"(((≉⪎⋱⫍2B32)⩨⪎⋱⫍3006≎⊠⪸⪎⋱⫍903)⨽((⪎⋱⫍1075+⪎⋱⫍2A94)⪒⪎⋱⫍2036∼⪎⋱⫍2C5A))⨐⩸⫘(⩦⩻⨪(≦∁(⪎⋱⫍1511⊘)))=⪎⋱⫍-1B5","reverse_text":"⪎⋱⫍-1B5=(((≉⪎⋱⫍2B32)⩨⪎⋱⫍3006≎⊠⪸⪎⋱⫍903)⨽((⪎⋱⫍1075+⪎⋱⫍2A94)⪒⪎⋱⫍2036∼⪎⋱⫍2C5A))⨐⩸⫘(⩦⩻⨪(≦∁(⪎⋱⫍1511⊘)))","cot":[{"info":"≉⪎⋱⫍2B32=⪎⋱⫍3150","layer":3},{"info":"⪎⋱⫍3006≎⊠⪸⪎⋱⫍903=⪎⋱⫍47A652","layer":3},{"info":"⪎⋱⫍3150⩨⪎⋱⫍47A652=⪎⋱⫍-459","layer":2},{"info":"⪎⋱⫍1075+⪎⋱⫍2A94=⪎⋱⫍3B39","layer":3},{"info":"⪎⋱⫍2036∼⪎⋱⫍2C5A=NaN","layer":3},{"info":"⪎⋱⫍3B39⪒NaN=NaN","layer":2},{"info":"⪎⋱⫍-459⨽NaN=NaN","layer":1},{"info":"⪎⋱⫍1511⊘=⪎⋱⫍0","layer":3},{"info":"≦∁⪎⋱⫍0=⪎⋱⫍-1B8","layer":2},{"info":"⩦⩻⨪⪎⋱⫍-1B8=⪎⋱⫍-1B8","layer":1},{"info":"NaN⨐⩸⫘⪎⋱⫍-1B8=⪎⋱⫍-1B5","layer":0}]}
{"id":462,"expression_no_base_symbol":"-($1175$⊉≛↸$3911$)⩷∴$7044$⨟⋌⩍$6313$%$4570$⪛$1120$⋝⋈⪟($1018$⨵⪆$3493$)","expression":"-(⪎⋱⫍6C5⊉≛↸⪎⋱⫍1A1B)⩷∴⪎⋱⫍328B⨟⋌⩍⪎⋱⫍2B48%⪎⋱⫍2107⪛⪎⋱⫍682⋝⋈⪟(⪎⋱⫍604⨵⪆⪎⋱⫍1789)","highest_n_order":4,"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":1175,"base":13},"right_expr":{"type":"numeric_atoms","value":3911,"base":13}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":7044,"base":13},"right_expr":{"type":"numeric_atoms","value":6313,"base":13}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":4570,"base":13},"right_expr":{"type":"numeric_atoms","value":1120,"base":13}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1018,"base":13},"right_expr":{"type":"numeric_atoms","value":3493,"base":13}}}}},"used_operators":["t8gj7n24qd","k8jYdgA6NY","9FxExcQeMw","DZ8iAZOCBD","rGHVDoGpnC","2DDjHMKMc0","uFcxV4UQCh","2DQ55sFlQl"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1175","layer":4},{"info":"number node, value=3911","layer":4},{"info":"compute binary expreesion, left_input=1175, right_input=3911, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2350","layer":3},{"info":"number node, value=7044","layer":4},{"info":"number node, value=6313","layer":4},{"info":"compute binary expreesion, left_input=7044, right_input=6313, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=2350, 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=4570","layer":4},{"info":"number node, value=1120","layer":4},{"info":"compute binary expreesion, left_input=4570, right_input=1120, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=90","layer":3},{"info":"number node, value=1018","layer":4},{"info":"number node, value=3493","layer":4},{"info":"compute binary expreesion, left_input=1018, right_input=3493, 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=90, right_input=160, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=90","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=90, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = t8gj7n24qd, unary_op_definition = 'None', output=nan","layer":0}],"base":13,"result_base":13,"text":"-(⪎⋱⫍6C5⊉≛↸⪎⋱⫍1A1B)⩷∴⪎⋱⫍328B⨟⋌⩍⪎⋱⫍2B48%⪎⋱⫍2107⪛⪎⋱⫍682⋝⋈⪟(⪎⋱⫍604⨵⪆⪎⋱⫍1789)=NaN","reverse_text":"NaN=-(⪎⋱⫍6C5⊉≛↸⪎⋱⫍1A1B)⩷∴⪎⋱⫍328B⨟⋌⩍⪎⋱⫍2B48%⪎⋱⫍2107⪛⪎⋱⫍682⋝⋈⪟(⪎⋱⫍604⨵⪆⪎⋱⫍1789)","cot":[{"info":"⪎⋱⫍6C5⊉≛↸⪎⋱⫍1A1B=⪎⋱⫍10BA","layer":3},{"info":"⪎⋱⫍328B⨟⋌⩍⪎⋱⫍2B48=NaN","layer":3},{"info":"⪎⋱⫍10BA⩷∴NaN=NaN","layer":2},{"info":"⪎⋱⫍2107⪛⪎⋱⫍682=⪎⋱⫍6C","layer":3},{"info":"⪎⋱⫍604⨵⪆⪎⋱⫍1789=⪎⋱⫍C4","layer":3},{"info":"⪎⋱⫍6C⋝⋈⪟⪎⋱⫍C4=⪎⋱⫍6C","layer":2},{"info":"NaN%⪎⋱⫍6C=NaN","layer":1},{"info":"-NaN=NaN","layer":0}]}
{"id":463,"expression_no_base_symbol":"((⊄⩳↩$1506$)⩷∴$6166$⨪↰⇹$2563$≫≃)⋥≓≎($4789$≎⊠⪸$1993$/($1093$⪠⩆⊳))⪛((↣≠⋷$1477$)⨓(↣≠⋷$1023$))","expression":"((⊄⩳↩⪎⋱⫍8BB)⩷∴⪎⋱⫍2A64⨪↰⇹⪎⋱⫍1222≫≃)⋥≓≎(⪎⋱⫍2245≎⊠⪸⪎⋱⫍BA4/(⪎⋱⫍661⪠⩆⊳))⪛((↣≠⋷⪎⋱⫍898)⨓(↣≠⋷⪎⋱⫍609))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":6478,"operation_count":12,"complexity_ratio":539.8333333333334,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1506,"base":13}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":6166,"base":13},"right_expr":{"type":"numeric_atoms","value":2563,"base":13}}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":4789,"base":13},"right_expr":{"type":"numeric_atoms","value":1993,"base":13}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":1093,"base":13}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1477,"base":13}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1023,"base":13}}}}},"used_operators":["Qy55tPpLXF","X99M06cbEe","9FxExcQeMw","8w2t5hMYqp","tmPS8pqC7x","uFcxV4UQCh","XhwjNDsVaA","bJkvcejdHO","JLbD19bQDL","3ViojmjbAp","Asc51vEJeQ"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","XhwjNDsVaA","AHs5Up7iyr"],"result":"⪎⋱⫍52","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1506","layer":4},{"info":"compute unary expreesion, input=1506, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-4518","layer":3},{"info":"number node, value=6166","layer":4},{"info":"number node, value=2563","layer":4},{"info":"compute binary expreesion, left_input=6166, right_input=2563, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=6166","layer":3},{"info":"compute binary expreesion, left_input=-4518, right_input=6166, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-21400","layer":2},{"info":"compute unary expreesion, input=-21400, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=-41399","layer":1},{"info":"number node, value=4789","layer":4},{"info":"number node, value=1993","layer":4},{"info":"compute binary expreesion, left_input=4789, right_input=1993, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1239878","layer":3},{"info":"number node, value=1093","layer":4},{"info":"compute unary expreesion, input=1093, 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=1239878, right_input=0, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=1477","layer":4},{"info":"compute unary expreesion, input=1477, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=1023","layer":4},{"info":"compute unary expreesion, input=1023, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":2},{"info":"compute 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=-41399, 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":13,"result_base":13,"text":"((⊄⩳↩⪎⋱⫍8BB)⩷∴⪎⋱⫍2A64⨪↰⇹⪎⋱⫍1222≫≃)⋥≓≎(⪎⋱⫍2245≎⊠⪸⪎⋱⫍BA4/(⪎⋱⫍661⪠⩆⊳))⪛((↣≠⋷⪎⋱⫍898)⨓(↣≠⋷⪎⋱⫍609))=⪎⋱⫍52","reverse_text":"⪎⋱⫍52=((⊄⩳↩⪎⋱⫍8BB)⩷∴⪎⋱⫍2A64⨪↰⇹⪎⋱⫍1222≫≃)⋥≓≎(⪎⋱⫍2245≎⊠⪸⪎⋱⫍BA4/(⪎⋱⫍661⪠⩆⊳))⪛((↣≠⋷⪎⋱⫍898)⨓(↣≠⋷⪎⋱⫍609))","cot":[{"info":"⊄⩳↩⪎⋱⫍8BB=⪎⋱⫍-2097","layer":3},{"info":"⪎⋱⫍2A64⨪↰⇹⪎⋱⫍1222=⪎⋱⫍2A64","layer":3},{"info":"⪎⋱⫍-2097⩷∴⪎⋱⫍2A64=⪎⋱⫍-9982","layer":2},{"info":"⪎⋱⫍-9982≫≃=⪎⋱⫍-15AC7","layer":1},{"info":"⪎⋱⫍2245≎⊠⪸⪎⋱⫍BA4=⪎⋱⫍345473","layer":3},{"info":"⪎⋱⫍661⪠⩆⊳=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍345473/⪎⋱⫍0=NaN","layer":2},{"info":"↣≠⋷⪎⋱⫍898=NaN","layer":3},{"info":"↣≠⋷⪎⋱⫍609=NaN","layer":3},{"info":"NaN⨓NaN=NaN","layer":2},{"info":"NaN⪛NaN=NaN","layer":1},{"info":"⪎⋱⫍-15AC7⋥≓≎NaN=⪎⋱⫍52","layer":0}]}
{"id":464,"expression_no_base_symbol":"(($1012$↙$2772$)⪢($6482$≋⫹)⊭∹↮)↺($1057$≎⊠⪸$1138$⨎(≉$1012$)⩨($2441$⋓$4306$⇼⇔∾(⨑⩽⪐$3251$)))","expression":"((⪎⋱⫍5CB↙⪎⋱⫍1353)⪢(⪎⋱⫍2C48≋⫹)⊭∹↮)↺(⪎⋱⫍634≎⊠⪸⪎⋱⫍697⨎(≉⪎⋱⫍5CB)⩨(⪎⋱⫍115A⋓⪎⋱⫍1C63⇼⇔∾(⨑⩽⪐⪎⋱⫍1631)))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":16046,"operation_count":12,"complexity_ratio":1337.1666666666667,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1012,"base":13},"right_expr":{"type":"numeric_atoms","value":2772,"base":13}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":6482,"base":13}}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1057,"base":13},"right_expr":{"type":"numeric_atoms","value":1138,"base":13}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1012,"base":13}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2441,"base":13},"right_expr":{"type":"numeric_atoms","value":4306,"base":13}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":3251,"base":13}}}}},"used_operators":["7j4O788W3g","xNBdhnnwKq","dWAJyo7jo9","yyfyN0ffXY","N41Kp7NANJ","2DlMacCsIx","rJVOvQCfKK","bJkvcejdHO","e1ybzncUwg","tifHPKVTfV","T2fj7uvVaJ","AF7qkfDlqP"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","k8jYdgA6NY","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"⪎⋱⫍6","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1012","layer":4},{"info":"number node, value=2772","layer":4},{"info":"compute binary expreesion, left_input=1012, right_input=2772, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-8316","layer":3},{"info":"number node, value=6482","layer":4},{"info":"compute unary expreesion, input=6482, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-12964","layer":3},{"info":"compute binary expreesion, left_input=-8316, right_input=-12964, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=nan","layer":1},{"info":"number node, value=1057","layer":4},{"info":"number node, value=1138","layer":4},{"info":"compute binary expreesion, left_input=1057, right_input=1138, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=273290","layer":3},{"info":"number node, value=1012","layer":4},{"info":"compute unary expreesion, input=1012, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=1543","layer":3},{"info":"compute binary expreesion, left_input=273290, right_input=1543, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1543","layer":2},{"info":"number node, value=2441","layer":4},{"info":"number node, value=4306","layer":4},{"info":"compute binary expreesion, left_input=2441, right_input=4306, op_id = T2fj7uvVaJ binary_op_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=3251","layer":4},{"info":"compute unary expreesion, input=3251, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-2978","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-2978, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-2978","layer":2},{"info":"compute binary expreesion, left_input=1543, right_input=-2978, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=6","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=6, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=6","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍5CB↙⪎⋱⫍1353)⪢(⪎⋱⫍2C48≋⫹)⊭∹↮)↺(⪎⋱⫍634≎⊠⪸⪎⋱⫍697⨎(≉⪎⋱⫍5CB)⩨(⪎⋱⫍115A⋓⪎⋱⫍1C63⇼⇔∾(⨑⩽⪐⪎⋱⫍1631)))=⪎⋱⫍6","reverse_text":"⪎⋱⫍6=((⪎⋱⫍5CB↙⪎⋱⫍1353)⪢(⪎⋱⫍2C48≋⫹)⊭∹↮)↺(⪎⋱⫍634≎⊠⪸⪎⋱⫍697⨎(≉⪎⋱⫍5CB)⩨(⪎⋱⫍115A⋓⪎⋱⫍1C63⇼⇔∾(⨑⩽⪐⪎⋱⫍1631)))","cot":[{"info":"⪎⋱⫍5CB↙⪎⋱⫍1353=⪎⋱⫍-3A29","layer":3},{"info":"⪎⋱⫍2C48≋⫹=⪎⋱⫍-5B93","layer":3},{"info":"⪎⋱⫍-3A29⪢⪎⋱⫍-5B93=NaN","layer":2},{"info":"NaN⊭∹↮=NaN","layer":1},{"info":"⪎⋱⫍634≎⊠⪸⪎⋱⫍697=⪎⋱⫍97514","layer":3},{"info":"≉⪎⋱⫍5CB=⪎⋱⫍919","layer":3},{"info":"⪎⋱⫍97514⨎⪎⋱⫍919=⪎⋱⫍919","layer":2},{"info":"⪎⋱⫍115A⋓⪎⋱⫍1C63=⪎⋱⫍0","layer":3},{"info":"⨑⩽⪐⪎⋱⫍1631=⪎⋱⫍-1481","layer":3},{"info":"⪎⋱⫍0⇼⇔∾⪎⋱⫍-1481=⪎⋱⫍-1481","layer":2},{"info":"⪎⋱⫍919⩨⪎⋱⫍-1481=⪎⋱⫍6","layer":1},{"info":"NaN↺⪎⋱⫍6=⪎⋱⫍6","layer":0}]}
{"id":465,"expression_no_base_symbol":"(⊄⩳↩($3242$↬$4018$⫌⩹⨱))⩤","expression":"(⊄⩳↩(⪎⋱⫍1625↬⪎⋱⫍1AA1⫌⩹⨱))⩤","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":12,"operation_count":4,"complexity_ratio":3.0,"tree":{"type":"unary","operator":"⩤","unary_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":3242,"base":13},"right_expr":{"type":"numeric_atoms","value":4018,"base":13}}}}},"used_operators":["Z2TMIBDE3Q","8w2t5hMYqp","EBcxylXtPf","B5M0gjZbta"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=3242","layer":4},{"info":"number node, value=4018","layer":4},{"info":"compute binary expreesion, left_input=3242, right_input=4018, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⊄⩳↩(⪎⋱⫍1625↬⪎⋱⫍1AA1⫌⩹⨱))⩤=NaN","reverse_text":"NaN=(⊄⩳↩(⪎⋱⫍1625↬⪎⋱⫍1AA1⫌⩹⨱))⩤","cot":[{"info":"⪎⋱⫍1625↬⪎⋱⫍1AA1=NaN","layer":3},{"info":"NaN⫌⩹⨱=NaN","layer":2},{"info":"⊄⩳↩NaN=NaN","layer":1},{"info":"NaN⩤=NaN","layer":0}]}
{"id":466,"expression_no_base_symbol":"((⊥$1329$)∲⫓$1576$%$3816$)⋓($1413$⇷$2354$≧⫂∧(∂$3813$))⋝⋈⪟(⨈⫕(($1874$⪄$3372$)⊪))","expression":"((⊥⪎⋱⫍7B3)∲⫓⪎⋱⫍943%⪎⋱⫍1977)⋓(⪎⋱⫍849⇷⪎⋱⫍10C1≧⫂∧(∂⪎⋱⫍1974))⋝⋈⪟(⨈⫕((⪎⋱⫍B12⪄⪎⋱⫍16C5)⊪))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":881095,"operation_count":11,"complexity_ratio":80099.54545454546,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":1329,"base":13}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1576,"base":13},"right_expr":{"type":"numeric_atoms","value":3816,"base":13}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1413,"base":13},"right_expr":{"type":"numeric_atoms","value":2354,"base":13}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":3813,"base":13}}}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1874,"base":13},"right_expr":{"type":"numeric_atoms","value":3372,"base":13}}}}},"used_operators":["2DDjHMKMc0","T2fj7uvVaJ","i8ToyICDmI","Q3PJZHRvZv","k8jYdgA6NY","Ph9nP6C5qx","mp7IySMOzn","Uaa54Peajs","megm06wKyl","zVYPLywUTj","SUmda5xLS4"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","fu6greOZ01","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1329","layer":4},{"info":"compute unary expreesion, input=1329, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=1576","layer":4},{"info":"number node, value=3816","layer":4},{"info":"compute binary expreesion, left_input=1576, right_input=3816, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1576","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1576, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"number node, value=1413","layer":4},{"info":"number node, value=2354","layer":4},{"info":"compute binary expreesion, left_input=1413, right_input=2354, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=4708","layer":3},{"info":"number node, value=3813","layer":4},{"info":"compute unary expreesion, input=3813, 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=4708, 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=0, right_input=nan, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=nan","layer":1},{"info":"number node, value=1874","layer":4},{"info":"number node, value=3372","layer":4},{"info":"compute binary expreesion, left_input=1874, right_input=3372, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-286929","layer":3},{"info":"compute unary expreesion, input=-286929, 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":"compute unary expreesion, input=inf, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-21, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⊥⪎⋱⫍7B3)∲⫓⪎⋱⫍943%⪎⋱⫍1977)⋓(⪎⋱⫍849⇷⪎⋱⫍10C1≧⫂∧(∂⪎⋱⫍1974))⋝⋈⪟(⨈⫕((⪎⋱⫍B12⪄⪎⋱⫍16C5)⊪))=NaN","reverse_text":"NaN=((⊥⪎⋱⫍7B3)∲⫓⪎⋱⫍943%⪎⋱⫍1977)⋓(⪎⋱⫍849⇷⪎⋱⫍10C1≧⫂∧(∂⪎⋱⫍1974))⋝⋈⪟(⨈⫕((⪎⋱⫍B12⪄⪎⋱⫍16C5)⊪))","cot":[{"info":"⊥⪎⋱⫍7B3=NaN","layer":3},{"info":"⪎⋱⫍943%⪎⋱⫍1977=⪎⋱⫍943","layer":3},{"info":"NaN∲⫓⪎⋱⫍943=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍849⇷⪎⋱⫍10C1=⪎⋱⫍21B2","layer":3},{"info":"∂⪎⋱⫍1974=NaN","layer":3},{"info":"⪎⋱⫍21B2≧⫂∧NaN=NaN","layer":2},{"info":"⪎⋱⫍0⋓NaN=NaN","layer":1},{"info":"⪎⋱⫍B12⪄⪎⋱⫍16C5=⪎⋱⫍-A07A6","layer":3},{"info":"⪎⋱⫍-A07A6⊪=Inf","layer":2},{"info":"⨈⫕Inf=⪎⋱⫍-18","layer":1},{"info":"NaN⋝⋈⪟⪎⋱⫍-18=NaN","layer":0}]}
{"id":467,"expression_no_base_symbol":"(($5862$∀⇚≩$5898$⨓(⩦⩻⨪$9104$))∀⇚≩($1120$⨸⪁$4733$⪒$2414$⋝⋈⪟$1348$))⨪↰⇹($6344$≹⇙⪍$3512$∼($3842$⫌⩹⨱)+⇶⊼(⊄⩳↩$2885$)⋝⋈⪟($6399$/$5183$))","expression":"((⪎⋱⫍288C∀⇚≩⪎⋱⫍28B9⨓(⩦⩻⨪⪎⋱⫍41B4))∀⇚≩(⪎⋱⫍682⨸⪁⪎⋱⫍2201⪒⪎⋱⫍1139⋝⋈⪟⪎⋱⫍7C9))⨪↰⇹(⪎⋱⫍2B70≹⇙⪍⪎⋱⫍17A2∼(⪎⋱⫍1997⫌⩹⨱)+⇶⊼(⊄⩳↩⪎⋱⫍140C)⋝⋈⪟(⪎⋱⫍2BB3/⪎⋱⫍2489))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":113925,"operation_count":15,"complexity_ratio":7595.0,"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":5862,"base":13},"right_expr":{"type":"numeric_atoms","value":5898,"base":13}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":9104,"base":13}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1120,"base":13},"right_expr":{"type":"numeric_atoms","value":4733,"base":13}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2414,"base":13},"right_expr":{"type":"numeric_atoms","value":1348,"base":13}}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":6344,"base":13},"right_expr":{"type":"numeric_atoms","value":3512,"base":13}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":3842,"base":13}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":2885,"base":13}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":6399,"base":13},"right_expr":{"type":"numeric_atoms","value":5183,"base":13}}}}},"used_operators":["tmPS8pqC7x","LRNGc0VcxI","3ViojmjbAp","2td37pGCOC","f6k1SAg4EE","g55IO6H4Gj","2DDjHMKMc0","TpPTUOHfaN","DyGG3AbaNP","AHs5Up7iyr","EBcxylXtPf","8w2t5hMYqp","XhwjNDsVaA"],"dependent_operators":["rJVOvQCfKK","X99M06cbEe","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","dWAJyo7jo9","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5862","layer":4},{"info":"number node, value=5898","layer":4},{"info":"compute binary expreesion, left_input=5862, right_input=5898, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=9104","layer":4},{"info":"compute unary expreesion, input=9104, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=9104","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=9104, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-9107","layer":2},{"info":"number node, value=1120","layer":4},{"info":"number node, value=4733","layer":4},{"info":"compute binary expreesion, left_input=1120, right_input=4733, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=11706","layer":3},{"info":"number node, value=2414","layer":4},{"info":"number node, value=1348","layer":4},{"info":"compute binary expreesion, left_input=2414, right_input=1348, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2414","layer":3},{"info":"compute binary expreesion, left_input=11706, right_input=2414, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-14120","layer":2},{"info":"compute binary expreesion, left_input=-9107, right_input=-14120, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=6344","layer":4},{"info":"number node, value=3512","layer":4},{"info":"compute binary expreesion, left_input=6344, right_input=3512, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=3842","layer":4},{"info":"compute unary expreesion, input=3842, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=9085","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=9085, 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=2885","layer":4},{"info":"compute unary expreesion, input=2885, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-8655","layer":3},{"info":"number node, value=6399","layer":4},{"info":"number node, value=5183","layer":4},{"info":"compute binary expreesion, left_input=6399, right_input=5183, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"compute binary expreesion, left_input=-8655, right_input=1, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-8655","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-8655, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍288C∀⇚≩⪎⋱⫍28B9⨓(⩦⩻⨪⪎⋱⫍41B4))∀⇚≩(⪎⋱⫍682⨸⪁⪎⋱⫍2201⪒⪎⋱⫍1139⋝⋈⪟⪎⋱⫍7C9))⨪↰⇹(⪎⋱⫍2B70≹⇙⪍⪎⋱⫍17A2∼(⪎⋱⫍1997⫌⩹⨱)+⇶⊼(⊄⩳↩⪎⋱⫍140C)⋝⋈⪟(⪎⋱⫍2BB3/⪎⋱⫍2489))=NaN","reverse_text":"NaN=((⪎⋱⫍288C∀⇚≩⪎⋱⫍28B9⨓(⩦⩻⨪⪎⋱⫍41B4))∀⇚≩(⪎⋱⫍682⨸⪁⪎⋱⫍2201⪒⪎⋱⫍1139⋝⋈⪟⪎⋱⫍7C9))⨪↰⇹(⪎⋱⫍2B70≹⇙⪍⪎⋱⫍17A2∼(⪎⋱⫍1997⫌⩹⨱)+⇶⊼(⊄⩳↩⪎⋱⫍140C)⋝⋈⪟(⪎⋱⫍2BB3/⪎⋱⫍2489))","cot":[{"info":"⪎⋱⫍288C∀⇚≩⪎⋱⫍28B9=NaN","layer":3},{"info":"⩦⩻⨪⪎⋱⫍41B4=⪎⋱⫍41B4","layer":3},{"info":"NaN⨓⪎⋱⫍41B4=⪎⋱⫍-41B7","layer":2},{"info":"⪎⋱⫍682⨸⪁⪎⋱⫍2201=⪎⋱⫍5436","layer":3},{"info":"⪎⋱⫍1139⋝⋈⪟⪎⋱⫍7C9=⪎⋱⫍1139","layer":3},{"info":"⪎⋱⫍5436⪒⪎⋱⫍1139=⪎⋱⫍-6572","layer":2},{"info":"⪎⋱⫍-41B7∀⇚≩⪎⋱⫍-6572=NaN","layer":1},{"info":"⪎⋱⫍2B70≹⇙⪍⪎⋱⫍17A2=NaN","layer":3},{"info":"⪎⋱⫍1997⫌⩹⨱=⪎⋱⫍419B","layer":3},{"info":"NaN∼⪎⋱⫍419B=NaN","layer":2},{"info":"⊄⩳↩⪎⋱⫍140C=⪎⋱⫍-3C2A","layer":3},{"info":"⪎⋱⫍2BB3/⪎⋱⫍2489=⪎⋱⫍1","layer":3},{"info":"⪎⋱⫍-3C2A⋝⋈⪟⪎⋱⫍1=⪎⋱⫍-3C2A","layer":2},{"info":"NaN+⇶⊼⪎⋱⫍-3C2A=NaN","layer":1},{"info":"NaN⨪↰⇹NaN=NaN","layer":0}]}
{"id":468,"expression_no_base_symbol":"(($4250$+⇶⊼$1365$⋷$2431$⋳⪒$1808$)∸)⋷(($1794$⪄$1625$)⫸⊐($3603$⊠≄⫣))⪢($1867$⇷$3967$≫≃)","expression":"((⪎⋱⫍1C1C+⇶⊼⪎⋱⫍810⋷⪎⋱⫍1150⋳⪒⪎⋱⫍A91)∸)⋷((⪎⋱⫍A80⪄⪎⋱⫍980)⫸⊐(⪎⋱⫍1842⊠≄⫣))⪢(⪎⋱⫍B08⇷⪎⋱⫍1A62≫≃)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":43711,"operation_count":11,"complexity_ratio":3973.7272727272725,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":4250,"base":13},"right_expr":{"type":"numeric_atoms","value":1365,"base":13}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2431,"base":13},"right_expr":{"type":"numeric_atoms","value":1808,"base":13}}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1794,"base":13},"right_expr":{"type":"numeric_atoms","value":1625,"base":13}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":3603,"base":13}}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1867,"base":13},"right_expr":{"type":"numeric_atoms","value":3967,"base":13}}}}},"used_operators":["23Mk6UjR3U","o20kRiQErp","TpPTUOHfaN","12rbrZMWeM","dWAJyo7jo9","mqXw5SEYmG","SUmda5xLS4","DIvbN7qnHd","X99M06cbEe","mp7IySMOzn"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"⪎⋱⫍-213","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4250","layer":4},{"info":"number node, value=1365","layer":4},{"info":"compute binary expreesion, left_input=4250, 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":"number node, value=2431","layer":4},{"info":"number node, value=1808","layer":4},{"info":"compute binary expreesion, left_input=2431, right_input=1808, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=2767","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2767, 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 = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":1},{"info":"number node, value=1794","layer":4},{"info":"number node, value=1625","layer":4},{"info":"compute binary expreesion, left_input=1794, right_input=1625, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-268101","layer":3},{"info":"number node, value=3603","layer":4},{"info":"compute unary expreesion, input=3603, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-268101, 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=1867","layer":4},{"info":"number node, value=3967","layer":4},{"info":"compute binary expreesion, left_input=1867, right_input=3967, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=7934","layer":3},{"info":"compute unary expreesion, input=7934, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=17269","layer":2},{"info":"compute binary expreesion, left_input=968, right_input=17269, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=177, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-354","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍1C1C+⇶⊼⪎⋱⫍810⋷⪎⋱⫍1150⋳⪒⪎⋱⫍A91)∸)⋷((⪎⋱⫍A80⪄⪎⋱⫍980)⫸⊐(⪎⋱⫍1842⊠≄⫣))⪢(⪎⋱⫍B08⇷⪎⋱⫍1A62≫≃)=⪎⋱⫍-213","reverse_text":"⪎⋱⫍-213=((⪎⋱⫍1C1C+⇶⊼⪎⋱⫍810⋷⪎⋱⫍1150⋳⪒⪎⋱⫍A91)∸)⋷((⪎⋱⫍A80⪄⪎⋱⫍980)⫸⊐(⪎⋱⫍1842⊠≄⫣))⪢(⪎⋱⫍B08⇷⪎⋱⫍1A62≫≃)","cot":[{"info":"⪎⋱⫍1C1C+⇶⊼⪎⋱⫍810=NaN","layer":3},{"info":"⪎⋱⫍1150⋳⪒⪎⋱⫍A91=⪎⋱⫍134B","layer":3},{"info":"NaN⋷⪎⋱⫍134B=NaN","layer":2},{"info":"NaN∸=⪎⋱⫍108","layer":1},{"info":"⪎⋱⫍A80⪄⪎⋱⫍980=⪎⋱⫍-95052","layer":3},{"info":"⪎⋱⫍1842⊠≄⫣=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍-95052⫸⊐⪎⋱⫍0=⪎⋱⫍596","layer":2},{"info":"⪎⋱⫍B08⇷⪎⋱⫍1A62=⪎⋱⫍37C4","layer":3},{"info":"⪎⋱⫍37C4≫≃=⪎⋱⫍7B25","layer":2},{"info":"⪎⋱⫍596⪢⪎⋱⫍7B25=NaN","layer":1},{"info":"⪎⋱⫍108⋷NaN=⪎⋱⫍-213","layer":0}]}
{"id":469,"expression_no_base_symbol":"((+⊝⨔$1132$)⋓($3186$⩨$2926$))≹⇙⪍(⊙↵-($1066$⨎$1093$))∀⇚≩(($3413$↺$7550$)⋝⋈⪟($1237$⋳⪒$6976$)⨳⩥⨓($2731$⨟⋌⩍$3889$⊭∹↮))","expression":"((+⊝⨔⪎⋱⫍691)⋓(⪎⋱⫍15B1⩨⪎⋱⫍1441))≹⇙⪍(⊙↵-(⪎⋱⫍640⨎⪎⋱⫍661))∀⇚≩((⪎⋱⫍1727↺⪎⋱⫍358A)⋝⋈⪟(⪎⋱⫍742⋳⪒⪎⋱⫍3238)⨳⩥⨓(⪎⋱⫍1321⨟⋌⩍⪎⋱⫍1A02⊭∹↮))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1221,"operation_count":13,"complexity_ratio":93.92307692307692,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":1132,"base":13}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":3186,"base":13},"right_expr":{"type":"numeric_atoms","value":2926,"base":13}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1066,"base":13},"right_expr":{"type":"numeric_atoms","value":1093,"base":13}}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":3413,"base":13},"right_expr":{"type":"numeric_atoms","value":7550,"base":13}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1237,"base":13},"right_expr":{"type":"numeric_atoms","value":6976,"base":13}}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2731,"base":13},"right_expr":{"type":"numeric_atoms","value":3889,"base":13}}}}},"used_operators":["LRNGc0VcxI","AHs5Up7iyr","T2fj7uvVaJ","DhbWaqg5eL","2DlMacCsIx","oWn0xqSxBt","rJVOvQCfKK","nCS4ZIUYfx","2DDjHMKMc0","7j4O788W3g","12rbrZMWeM","xNBdhnnwKq","rGHVDoGpnC"],"dependent_operators":["X99M06cbEe","dWAJyo7jo9","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1132","layer":4},{"info":"compute unary expreesion, input=1132, 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=3186","layer":4},{"info":"number node, value=2926","layer":4},{"info":"compute binary expreesion, left_input=3186, right_input=2926, 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=1522, 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=1066","layer":4},{"info":"number node, value=1093","layer":4},{"info":"compute binary expreesion, left_input=1066, 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 unary expreesion, input=1093, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-1, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(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":1},{"info":"number node, value=3413","layer":4},{"info":"number node, value=7550","layer":4},{"info":"compute binary expreesion, left_input=3413, right_input=7550, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=7550","layer":3},{"info":"number node, value=1237","layer":4},{"info":"number node, value=6976","layer":4},{"info":"compute binary expreesion, left_input=1237, right_input=6976, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-4789","layer":3},{"info":"compute binary expreesion, left_input=7550, right_input=-4789, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=7550","layer":2},{"info":"number node, value=2731","layer":4},{"info":"number node, value=3889","layer":4},{"info":"compute binary expreesion, left_input=2731, right_input=3889, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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 = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=7550, 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 = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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":13,"result_base":13,"text":"((+⊝⨔⪎⋱⫍691)⋓(⪎⋱⫍15B1⩨⪎⋱⫍1441))≹⇙⪍(⊙↵-(⪎⋱⫍640⨎⪎⋱⫍661))∀⇚≩((⪎⋱⫍1727↺⪎⋱⫍358A)⋝⋈⪟(⪎⋱⫍742⋳⪒⪎⋱⫍3238)⨳⩥⨓(⪎⋱⫍1321⨟⋌⩍⪎⋱⫍1A02⊭∹↮))=NaN","reverse_text":"NaN=((+⊝⨔⪎⋱⫍691)⋓(⪎⋱⫍15B1⩨⪎⋱⫍1441))≹⇙⪍(⊙↵-(⪎⋱⫍640⨎⪎⋱⫍661))∀⇚≩((⪎⋱⫍1727↺⪎⋱⫍358A)⋝⋈⪟(⪎⋱⫍742⋳⪒⪎⋱⫍3238)⨳⩥⨓(⪎⋱⫍1321⨟⋌⩍⪎⋱⫍1A02⊭∹↮))","cot":[{"info":"+⊝⨔⪎⋱⫍691=⪎⋱⫍901","layer":3},{"info":"⪎⋱⫍15B1⩨⪎⋱⫍1441=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍901⋓⪎⋱⫍0=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍640⨎⪎⋱⫍661=⪎⋱⫍661","layer":3},{"info":"⊙↵-⪎⋱⫍661=⪎⋱⫍-1","layer":2},{"info":"⪎⋱⫍0≹⇙⪍⪎⋱⫍-1=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍1727↺⪎⋱⫍358A=⪎⋱⫍358A","layer":3},{"info":"⪎⋱⫍742⋳⪒⪎⋱⫍3238=⪎⋱⫍-2245","layer":3},{"info":"⪎⋱⫍358A⋝⋈⪟⪎⋱⫍-2245=⪎⋱⫍358A","layer":2},{"info":"⪎⋱⫍1321⨟⋌⩍⪎⋱⫍1A02=NaN","layer":3},{"info":"NaN⊭∹↮=NaN","layer":2},{"info":"⪎⋱⫍358A⨳⩥⨓NaN=NaN","layer":1},{"info":"⪎⋱⫍0∀⇚≩NaN=NaN","layer":0}]}
{"id":470,"expression_no_base_symbol":"(⫛⫱⨽((⪝⪂⫅$3277$)⋝⋈⪟($2119$⊭↱$1205$)))⪒($2275$⋝⋈⪟$6055$⨰($1608$⊦⊿))≹⇙⪍(($6379$∑⇟⊟$4767$)↬$6541$↬$6502$)","expression":"(⫛⫱⨽((⪝⪂⫅⪎⋱⫍1651)⋝⋈⪟(⪎⋱⫍C70⊭↱⪎⋱⫍719)))⪒(⪎⋱⫍1060⋝⋈⪟⪎⋱⫍29AA⨰(⪎⋱⫍969⊦⊿))≹⇙⪍((⪎⋱⫍2B99∑⇟⊟⪎⋱⫍2229)↬⪎⋱⫍2C92↬⪎⋱⫍2C62)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1603,"operation_count":12,"complexity_ratio":133.58333333333334,"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":3277,"base":13}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":2119,"base":13},"right_expr":{"type":"numeric_atoms","value":1205,"base":13}}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2275,"base":13},"right_expr":{"type":"numeric_atoms","value":6055,"base":13}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":1608,"base":13}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":6379,"base":13},"right_expr":{"type":"numeric_atoms","value":4767,"base":13}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":6541,"base":13},"right_expr":{"type":"numeric_atoms","value":6502,"base":13}}}}},"used_operators":["f6k1SAg4EE","DlLNRPXxWL","2DDjHMKMc0","XTarYq4gQB","COABgblf1C","AHs5Up7iyr","eewbuw0ToL","14qkJME0vr","B5M0gjZbta","U7g4x0WXJJ"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3277","layer":4},{"info":"compute unary expreesion, input=3277, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-481719","layer":3},{"info":"number node, value=2119","layer":4},{"info":"number node, value=1205","layer":4},{"info":"compute binary expreesion, left_input=2119, right_input=1205, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-1823","layer":3},{"info":"compute binary expreesion, left_input=-481719, right_input=-1823, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-481719","layer":2},{"info":"compute unary expreesion, input=-481719, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":1},{"info":"number node, value=2275","layer":4},{"info":"number node, value=6055","layer":4},{"info":"compute binary expreesion, left_input=2275, right_input=6055, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2275","layer":3},{"info":"number node, value=1608","layer":4},{"info":"compute unary expreesion, input=1608, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-4903","layer":3},{"info":"compute binary expreesion, left_input=2275, right_input=-4903, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=7188","layer":2},{"info":"number node, value=6379","layer":4},{"info":"number node, value=4767","layer":4},{"info":"compute binary expreesion, left_input=6379, right_input=4767, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=6541","layer":4},{"info":"number node, value=6502","layer":4},{"info":"compute binary expreesion, left_input=6541, right_input=6502, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=7188, 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=0, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⫛⫱⨽((⪝⪂⫅⪎⋱⫍1651)⋝⋈⪟(⪎⋱⫍C70⊭↱⪎⋱⫍719)))⪒(⪎⋱⫍1060⋝⋈⪟⪎⋱⫍29AA⨰(⪎⋱⫍969⊦⊿))≹⇙⪍((⪎⋱⫍2B99∑⇟⊟⪎⋱⫍2229)↬⪎⋱⫍2C92↬⪎⋱⫍2C62)=NaN","reverse_text":"NaN=(⫛⫱⨽((⪝⪂⫅⪎⋱⫍1651)⋝⋈⪟(⪎⋱⫍C70⊭↱⪎⋱⫍719)))⪒(⪎⋱⫍1060⋝⋈⪟⪎⋱⫍29AA⨰(⪎⋱⫍969⊦⊿))≹⇙⪍((⪎⋱⫍2B99∑⇟⊟⪎⋱⫍2229)↬⪎⋱⫍2C92↬⪎⋱⫍2C62)","cot":[{"info":"⪝⪂⫅⪎⋱⫍1651=⪎⋱⫍-13B354","layer":3},{"info":"⪎⋱⫍C70⊭↱⪎⋱⫍719=⪎⋱⫍-AA3","layer":3},{"info":"⪎⋱⫍-13B354⋝⋈⪟⪎⋱⫍-AA3=⪎⋱⫍-13B354","layer":2},{"info":"⫛⫱⨽⪎⋱⫍-13B354=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍1060⋝⋈⪟⪎⋱⫍29AA=⪎⋱⫍1060","layer":3},{"info":"⪎⋱⫍969⊦⊿=⪎⋱⫍-2302","layer":3},{"info":"⪎⋱⫍1060⨰⪎⋱⫍-2302=⪎⋱⫍336C","layer":2},{"info":"⪎⋱⫍2B99∑⇟⊟⪎⋱⫍2229=NaN","layer":3},{"info":"⪎⋱⫍2C92↬⪎⋱⫍2C62=NaN","layer":3},{"info":"NaN↬NaN=NaN","layer":2},{"info":"⪎⋱⫍336C≹⇙⪍NaN=NaN","layer":1},{"info":"⪎⋱⫍0⪒NaN=NaN","layer":0}]}
{"id":471,"expression_no_base_symbol":"≦∁(≉$5115$)⫥∨⫟$7080$≭$1547$∲⫓$1330$⇷$4007$⋥≓≎$1191$⋥≓≎$4197$","expression":"≦∁(≉⪎⋱⫍2436)⫥∨⫟⪎⋱⫍32B8≭⪎⋱⫍920∲⫓⪎⋱⫍7B4⇷⪎⋱⫍1A93⋥≓≎⪎⋱⫍708⋥≓≎⪎⋱⫍1BAB","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":18820,"operation_count":8,"complexity_ratio":2352.5,"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":5115,"base":13}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":7080,"base":13},"right_expr":{"type":"numeric_atoms","value":1547,"base":13}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1330,"base":13},"right_expr":{"type":"numeric_atoms","value":4007,"base":13}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1191,"base":13},"right_expr":{"type":"numeric_atoms","value":4197,"base":13}}}}},"used_operators":["9ICcGScMcE","i8ToyICDmI","KYD54nUTWz","e1ybzncUwg","rxpJgHHUmx","Qy55tPpLXF","mp7IySMOzn"],"dependent_operators":["XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"⪎⋱⫍-1B8","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5115","layer":4},{"info":"compute unary expreesion, input=5115, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=5646","layer":3},{"info":"number node, value=7080","layer":4},{"info":"number node, value=1547","layer":4},{"info":"compute binary expreesion, left_input=7080, right_input=1547, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=5646, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=1330","layer":4},{"info":"number node, value=4007","layer":4},{"info":"compute binary expreesion, left_input=1330, right_input=4007, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=8014","layer":3},{"info":"number node, value=1191","layer":4},{"info":"number node, value=4197","layer":4},{"info":"compute binary expreesion, left_input=1191, right_input=4197, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=7236","layer":3},{"info":"compute binary expreesion, left_input=8014, right_input=7236, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=6491","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=6491, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=-320","layer":0}],"base":13,"result_base":13,"text":"≦∁(≉⪎⋱⫍2436)⫥∨⫟⪎⋱⫍32B8≭⪎⋱⫍920∲⫓⪎⋱⫍7B4⇷⪎⋱⫍1A93⋥≓≎⪎⋱⫍708⋥≓≎⪎⋱⫍1BAB=⪎⋱⫍-1B8","reverse_text":"⪎⋱⫍-1B8=≦∁(≉⪎⋱⫍2436)⫥∨⫟⪎⋱⫍32B8≭⪎⋱⫍920∲⫓⪎⋱⫍7B4⇷⪎⋱⫍1A93⋥≓≎⪎⋱⫍708⋥≓≎⪎⋱⫍1BAB","cot":[{"info":"≉⪎⋱⫍2436=⪎⋱⫍2754","layer":3},{"info":"⪎⋱⫍32B8≭⪎⋱⫍920=NaN","layer":3},{"info":"⪎⋱⫍2754⫥∨⫟NaN=NaN","layer":2},{"info":"⪎⋱⫍7B4⇷⪎⋱⫍1A93=⪎⋱⫍3856","layer":3},{"info":"⪎⋱⫍708⋥≓≎⪎⋱⫍1BAB=⪎⋱⫍33A8","layer":3},{"info":"⪎⋱⫍3856⋥≓≎⪎⋱⫍33A8=⪎⋱⫍2C54","layer":2},{"info":"NaN∲⫓⪎⋱⫍2C54=⪎⋱⫍0","layer":1},{"info":"≦∁⪎⋱⫍0=⪎⋱⫍-1B8","layer":0}]}
{"id":472,"expression_no_base_symbol":"(⫛⫱⨽($1233$∑⇟⊟$6886$))⫥∨⫟($2330$∼$2169$∲⫓$5510$⨰$2618$)∲⫓($2175$⋥≓≎$1698$⩨($1049$⩨$1964$))⨽((⫓⪴$2689$)⊭↱(⊄⩳↩$6101$))","expression":"(⫛⫱⨽(⪎⋱⫍73B∑⇟⊟⪎⋱⫍3199))⫥∨⫟(⪎⋱⫍10A3∼⪎⋱⫍CAB∲⫓⪎⋱⫍267B⨰⪎⋱⫍1265)∲⫓(⪎⋱⫍CB4⋥≓≎⪎⋱⫍A08⩨(⪎⋱⫍629⩨⪎⋱⫍B81))⨽((⫓⪴⪎⋱⫍12BB)⊭↱(⊄⩳↩⪎⋱⫍2A14))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3846,"operation_count":14,"complexity_ratio":274.7142857142857,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1233,"base":13},"right_expr":{"type":"numeric_atoms","value":6886,"base":13}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2330,"base":13},"right_expr":{"type":"numeric_atoms","value":2169,"base":13}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":5510,"base":13},"right_expr":{"type":"numeric_atoms","value":2618,"base":13}}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2175,"base":13},"right_expr":{"type":"numeric_atoms","value":1698,"base":13}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1049,"base":13},"right_expr":{"type":"numeric_atoms","value":1964,"base":13}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":2689,"base":13}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":6101,"base":13}}}}},"used_operators":["i8ToyICDmI","KYD54nUTWz","DlLNRPXxWL","U7g4x0WXJJ","DyGG3AbaNP","eewbuw0ToL","8HhzD0ZcuI","2DlMacCsIx","Qy55tPpLXF","COABgblf1C","eLxqMNBOBk","8w2t5hMYqp"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","rGHVDoGpnC","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1233","layer":4},{"info":"number node, value=6886","layer":4},{"info":"compute binary expreesion, left_input=1233, right_input=6886, 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=2330","layer":4},{"info":"number node, value=2169","layer":4},{"info":"compute binary expreesion, left_input=2330, right_input=2169, 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=5510","layer":4},{"info":"number node, value=2618","layer":4},{"info":"compute binary expreesion, left_input=5510, right_input=2618, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=2902","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2902, 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 = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=2175","layer":4},{"info":"number node, value=1698","layer":4},{"info":"compute binary expreesion, left_input=2175, right_input=1698, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=1254","layer":3},{"info":"number node, value=1049","layer":4},{"info":"number node, value=1964","layer":4},{"info":"compute binary expreesion, left_input=1049, right_input=1964, 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=1254, right_input=-3, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=3","layer":2},{"info":"number node, value=2689","layer":4},{"info":"compute unary expreesion, input=2689, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=7230721","layer":3},{"info":"number node, value=6101","layer":4},{"info":"compute unary expreesion, input=6101, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-18303","layer":3},{"info":"compute binary expreesion, left_input=7230721, right_input=-18303, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-14498043","layer":2},{"info":"compute binary expreesion, left_input=3, right_input=-14498043, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=43495416","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=43495416, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":0}],"base":13,"result_base":13,"text":"(⫛⫱⨽(⪎⋱⫍73B∑⇟⊟⪎⋱⫍3199))⫥∨⫟(⪎⋱⫍10A3∼⪎⋱⫍CAB∲⫓⪎⋱⫍267B⨰⪎⋱⫍1265)∲⫓(⪎⋱⫍CB4⋥≓≎⪎⋱⫍A08⩨(⪎⋱⫍629⩨⪎⋱⫍B81))⨽((⫓⪴⪎⋱⫍12BB)⊭↱(⊄⩳↩⪎⋱⫍2A14))=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=(⫛⫱⨽(⪎⋱⫍73B∑⇟⊟⪎⋱⫍3199))⫥∨⫟(⪎⋱⫍10A3∼⪎⋱⫍CAB∲⫓⪎⋱⫍267B⨰⪎⋱⫍1265)∲⫓(⪎⋱⫍CB4⋥≓≎⪎⋱⫍A08⩨(⪎⋱⫍629⩨⪎⋱⫍B81))⨽((⫓⪴⪎⋱⫍12BB)⊭↱(⊄⩳↩⪎⋱⫍2A14))","cot":[{"info":"⪎⋱⫍73B∑⇟⊟⪎⋱⫍3199=NaN","layer":3},{"info":"⫛⫱⨽NaN=NaN","layer":2},{"info":"⪎⋱⫍10A3∼⪎⋱⫍CAB=NaN","layer":3},{"info":"⪎⋱⫍267B⨰⪎⋱⫍1265=⪎⋱⫍1423","layer":3},{"info":"NaN∲⫓⪎⋱⫍1423=⪎⋱⫍0","layer":2},{"info":"NaN⫥∨⫟⪎⋱⫍0=NaN","layer":1},{"info":"⪎⋱⫍CB4⋥≓≎⪎⋱⫍A08=⪎⋱⫍756","layer":3},{"info":"⪎⋱⫍629⩨⪎⋱⫍B81=⪎⋱⫍-3","layer":3},{"info":"⪎⋱⫍756⩨⪎⋱⫍-3=⪎⋱⫍3","layer":2},{"info":"⫓⪴⪎⋱⫍12BB=⪎⋱⫍1662244","layer":3},{"info":"⊄⩳↩⪎⋱⫍2A14=⪎⋱⫍-843C","layer":3},{"info":"⪎⋱⫍1662244⊭↱⪎⋱⫍-843C=⪎⋱⫍-3008031","layer":2},{"info":"⪎⋱⫍3⨽⪎⋱⫍-3008031=⪎⋱⫍901B843","layer":1},{"info":"NaN∲⫓⪎⋱⫍901B843=⪎⋱⫍0","layer":0}]}
{"id":473,"expression_no_base_symbol":"(($2409$⪮%⊝$2828$⊠≄⫣)⇋≉)⇷(⨵≀≌($2864$∧)⨽$5132$⨪↰⇹$3251$)","expression":"((⪎⋱⫍1134⪮%⊝⪎⋱⫍1397⊠≄⫣)⇋≉)⇷(⨵≀≌(⪎⋱⫍13C4∧)⨽⪎⋱⫍244A⨪↰⇹⪎⋱⫍1631)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":6544,"operation_count":8,"complexity_ratio":818.0,"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":2409,"base":13},"right_expr":{"type":"numeric_atoms","value":2828,"base":13}}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":2864,"base":13}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":5132,"base":13},"right_expr":{"type":"numeric_atoms","value":3251,"base":13}}}}},"used_operators":["mp7IySMOzn","XIabStNQrY","DIvbN7qnHd","IWmyXbctLI","srAu1WTS94","8HhzD0ZcuI","z63VuFQld9","tmPS8pqC7x"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2409","layer":4},{"info":"number node, value=2828","layer":4},{"info":"compute binary expreesion, left_input=2409, right_input=2828, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=5134","layer":3},{"info":"compute unary expreesion, input=5134, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=-98","layer":1},{"info":"number node, value=2864","layer":4},{"info":"compute unary expreesion, input=2864, 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=5132","layer":4},{"info":"number node, value=3251","layer":4},{"info":"compute binary expreesion, left_input=5132, right_input=3251, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=5132","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5132, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-98, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍1134⪮%⊝⪎⋱⫍1397⊠≄⫣)⇋≉)⇷(⨵≀≌(⪎⋱⫍13C4∧)⨽⪎⋱⫍244A⨪↰⇹⪎⋱⫍1631)=NaN","reverse_text":"NaN=((⪎⋱⫍1134⪮%⊝⪎⋱⫍1397⊠≄⫣)⇋≉)⇷(⨵≀≌(⪎⋱⫍13C4∧)⨽⪎⋱⫍244A⨪↰⇹⪎⋱⫍1631)","cot":[{"info":"⪎⋱⫍1134⪮%⊝⪎⋱⫍1397=⪎⋱⫍244C","layer":3},{"info":"⪎⋱⫍244C⊠≄⫣=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍0⇋≉=⪎⋱⫍-77","layer":1},{"info":"⪎⋱⫍13C4∧=NaN","layer":3},{"info":"⪎⋱⫍244A⨪↰⇹⪎⋱⫍1631=⪎⋱⫍244A","layer":3},{"info":"NaN⨽⪎⋱⫍244A=NaN","layer":2},{"info":"⨵≀≌NaN=NaN","layer":1},{"info":"⪎⋱⫍-77⇷NaN=NaN","layer":0}]}
{"id":474,"expression_no_base_symbol":"(($4926$⊭↱$4415$⩨$1282$⪄$2502$)∧)⨓(($2638$*$1787$)⩷∴$1620$∀⇚≩$4149$⨵⪆($2996$⫸⊐$4964$)⨪↰⇹$1828$⇷$4322$)","expression":"((⪎⋱⫍231C⊭↱⪎⋱⫍2018⩨⪎⋱⫍778⪄⪎⋱⫍11A6)∧)⨓((⪎⋱⫍127C*⪎⋱⫍A76)⩷∴⪎⋱⫍978∀⇚≩⪎⋱⫍1B72⨵⪆(⪎⋱⫍1496⫸⊐⪎⋱⫍234B)⨪↰⇹⪎⋱⫍AA8⇷⪎⋱⫍1C76)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":58957,"operation_count":12,"complexity_ratio":4913.083333333333,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":4926,"base":13},"right_expr":{"type":"numeric_atoms","value":4415,"base":13}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1282,"base":13},"right_expr":{"type":"numeric_atoms","value":2502,"base":13}}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2638,"base":13},"right_expr":{"type":"numeric_atoms","value":1787,"base":13}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1620,"base":13},"right_expr":{"type":"numeric_atoms","value":4149,"base":13}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2996,"base":13},"right_expr":{"type":"numeric_atoms","value":4964,"base":13}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1828,"base":13},"right_expr":{"type":"numeric_atoms","value":4322,"base":13}}}}},"used_operators":["3ViojmjbAp","z63VuFQld9","2DlMacCsIx","COABgblf1C","SUmda5xLS4","2DQ55sFlQl","9FxExcQeMw","9HNa5Wba9A","LRNGc0VcxI","tmPS8pqC7x","mqXw5SEYmG","mp7IySMOzn"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","X99M06cbEe","rJVOvQCfKK","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"⪎⋱⫍-C7","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4926","layer":4},{"info":"number node, value=4415","layer":4},{"info":"compute binary expreesion, left_input=4926, right_input=4415, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-1017","layer":3},{"info":"number node, value=1282","layer":4},{"info":"number node, value=2502","layer":4},{"info":"compute binary expreesion, left_input=1282, right_input=2502, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-195833","layer":3},{"info":"compute binary expreesion, left_input=-1017, right_input=-195833, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-576","layer":2},{"info":"compute unary expreesion, input=-576, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=0","layer":1},{"info":"number node, value=2638","layer":4},{"info":"number node, value=1787","layer":4},{"info":"compute binary expreesion, left_input=2638, right_input=1787, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=4714106","layer":3},{"info":"number node, value=1620","layer":4},{"info":"number node, value=4149","layer":4},{"info":"compute binary expreesion, left_input=1620, right_input=4149, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=4714106, 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=2996","layer":4},{"info":"number node, value=4964","layer":4},{"info":"compute binary expreesion, left_input=2996, right_input=4964, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=19731","layer":3},{"info":"number node, value=1828","layer":4},{"info":"number node, value=4322","layer":4},{"info":"compute binary expreesion, left_input=1828, right_input=4322, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=8644","layer":3},{"info":"compute binary expreesion, left_input=19731, right_input=8644, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=19731","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=19731, 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 = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-163","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍231C⊭↱⪎⋱⫍2018⩨⪎⋱⫍778⪄⪎⋱⫍11A6)∧)⨓((⪎⋱⫍127C*⪎⋱⫍A76)⩷∴⪎⋱⫍978∀⇚≩⪎⋱⫍1B72⨵⪆(⪎⋱⫍1496⫸⊐⪎⋱⫍234B)⨪↰⇹⪎⋱⫍AA8⇷⪎⋱⫍1C76)=⪎⋱⫍-C7","reverse_text":"⪎⋱⫍-C7=((⪎⋱⫍231C⊭↱⪎⋱⫍2018⩨⪎⋱⫍778⪄⪎⋱⫍11A6)∧)⨓((⪎⋱⫍127C*⪎⋱⫍A76)⩷∴⪎⋱⫍978∀⇚≩⪎⋱⫍1B72⨵⪆(⪎⋱⫍1496⫸⊐⪎⋱⫍234B)⨪↰⇹⪎⋱⫍AA8⇷⪎⋱⫍1C76)","cot":[{"info":"⪎⋱⫍231C⊭↱⪎⋱⫍2018=⪎⋱⫍-603","layer":3},{"info":"⪎⋱⫍778⪄⪎⋱⫍11A6=⪎⋱⫍-6B1A1","layer":3},{"info":"⪎⋱⫍-603⩨⪎⋱⫍-6B1A1=⪎⋱⫍-354","layer":2},{"info":"⪎⋱⫍-354∧=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍127C*⪎⋱⫍A76=⪎⋱⫍C90917","layer":3},{"info":"⪎⋱⫍978∀⇚≩⪎⋱⫍1B72=NaN","layer":3},{"info":"⪎⋱⫍C90917⩷∴NaN=NaN","layer":2},{"info":"⪎⋱⫍1496⫸⊐⪎⋱⫍234B=⪎⋱⫍8C9A","layer":3},{"info":"⪎⋱⫍AA8⇷⪎⋱⫍1C76=⪎⋱⫍3C1C","layer":3},{"info":"⪎⋱⫍8C9A⨪↰⇹⪎⋱⫍3C1C=⪎⋱⫍8C9A","layer":2},{"info":"NaN⨵⪆⪎⋱⫍8C9A=⪎⋱⫍C4","layer":1},{"info":"⪎⋱⫍0⨓⪎⋱⫍C4=⪎⋱⫍-C7","layer":0}]}
{"id":475,"expression_no_base_symbol":"≤/((⊥($2009$⪛$4695$))↪⪝)","expression":"≤/((⊥(⪎⋱⫍BB7⪛⪎⋱⫍21A2))↪⪝)","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":11,"operation_count":4,"complexity_ratio":2.75,"tree":{"type":"unary","operator":"≤/","unary_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2009,"base":13},"right_expr":{"type":"numeric_atoms","value":4695,"base":13}}}}},"used_operators":["eLAdDNolq6","l07mrZUIn9","Q3PJZHRvZv","uFcxV4UQCh"],"dependent_operators":["rysDP5nf3Z","9HNa5Wba9A","2DDjHMKMc0","fu6greOZ01","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2009","layer":4},{"info":"number node, value=4695","layer":4},{"info":"compute binary expreesion, left_input=2009, right_input=4695, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2009","layer":3},{"info":"compute unary expreesion, input=2009, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"≤/((⊥(⪎⋱⫍BB7⪛⪎⋱⫍21A2))↪⪝)=NaN","reverse_text":"NaN=≤/((⊥(⪎⋱⫍BB7⪛⪎⋱⫍21A2))↪⪝)","cot":[{"info":"⪎⋱⫍BB7⪛⪎⋱⫍21A2=⪎⋱⫍BB7","layer":3},{"info":"⊥⪎⋱⫍BB7=NaN","layer":2},{"info":"NaN↪⪝=NaN","layer":1},{"info":"≤/NaN=NaN","layer":0}]}
{"id":476,"expression_no_base_symbol":"⩦⩻⨪(⊥(↥$2994$))⊴(($4025$⨐⩸⫘$3656$)⩷∴($1101$⫸⊐$2433$))","expression":"⩦⩻⨪(⊥(↥⪎⋱⫍1494))⊴((⪎⋱⫍1AA8⨐⩸⫘⪎⋱⫍1883)⩷∴(⪎⋱⫍669⫸⊐⪎⋱⫍1152))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1611,"operation_count":7,"complexity_ratio":230.14285714285714,"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":2994,"base":13}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":4025,"base":13},"right_expr":{"type":"numeric_atoms","value":3656,"base":13}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1101,"base":13},"right_expr":{"type":"numeric_atoms","value":2433,"base":13}}}}},"used_operators":["2td37pGCOC","Nsiff2A1zJ","Q3PJZHRvZv","A8NUZmVepG","9FxExcQeMw","fu6greOZ01","mqXw5SEYmG"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","fu6greOZ01","k8jYdgA6NY","rysDP5nf3Z","3ViojmjbAp","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2994","layer":4},{"info":"compute unary expreesion, input=2994, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=36","layer":3},{"info":"compute unary expreesion, input=36, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=-39","layer":2},{"info":"number node, value=4025","layer":4},{"info":"number node, value=3656","layer":4},{"info":"compute binary expreesion, left_input=4025, right_input=3656, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=1101","layer":4},{"info":"number node, value=2433","layer":4},{"info":"compute binary expreesion, left_input=1101, right_input=2433, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=9607","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=9607, 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=-39, 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 = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⩦⩻⨪(⊥(↥⪎⋱⫍1494))⊴((⪎⋱⫍1AA8⨐⩸⫘⪎⋱⫍1883)⩷∴(⪎⋱⫍669⫸⊐⪎⋱⫍1152))=NaN","reverse_text":"NaN=⩦⩻⨪(⊥(↥⪎⋱⫍1494))⊴((⪎⋱⫍1AA8⨐⩸⫘⪎⋱⫍1883)⩷∴(⪎⋱⫍669⫸⊐⪎⋱⫍1152))","cot":[{"info":"↥⪎⋱⫍1494=⪎⋱⫍2A","layer":3},{"info":"⊥⪎⋱⫍2A=⪎⋱⫍-30","layer":2},{"info":"⪎⋱⫍1AA8⨐⩸⫘⪎⋱⫍1883=NaN","layer":3},{"info":"⪎⋱⫍669⫸⊐⪎⋱⫍1152=⪎⋱⫍44B0","layer":3},{"info":"NaN⩷∴⪎⋱⫍44B0=NaN","layer":2},{"info":"⪎⋱⫍-30⊴NaN=NaN","layer":1},{"info":"⩦⩻⨪NaN=NaN","layer":0}]}
{"id":477,"expression_no_base_symbol":"⫓⪴(($5750$⨪↰⇹$5794$≋⫹)⨰($1531$⫡⨏$1963$)⊴($1378$∑⇟⊟$1733$))","expression":"⫓⪴((⪎⋱⫍2804⨪↰⇹⪎⋱⫍2839≋⫹)⨰(⪎⋱⫍90A⫡⨏⪎⋱⫍B80)⊴(⪎⋱⫍820∑⇟⊟⪎⋱⫍A34))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":5775,"operation_count":7,"complexity_ratio":825.0,"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":5750,"base":13},"right_expr":{"type":"numeric_atoms","value":5794,"base":13}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1531,"base":13},"right_expr":{"type":"numeric_atoms","value":1963,"base":13}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1378,"base":13},"right_expr":{"type":"numeric_atoms","value":1733,"base":13}}}}},"used_operators":["eLxqMNBOBk","eewbuw0ToL","N41Kp7NANJ","tmPS8pqC7x","Nsiff2A1zJ","QMFrweE19q","U7g4x0WXJJ"],"dependent_operators":["9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5750","layer":4},{"info":"number node, value=5794","layer":4},{"info":"compute binary expreesion, left_input=5750, right_input=5794, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=5750","layer":3},{"info":"compute unary expreesion, input=5750, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-11500","layer":2},{"info":"number node, value=1531","layer":4},{"info":"number node, value=1963","layer":4},{"info":"compute binary expreesion, left_input=1531, right_input=1963, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=12364","layer":3},{"info":"number node, value=1378","layer":4},{"info":"number node, value=1733","layer":4},{"info":"compute binary expreesion, left_input=1378, right_input=1733, 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=12364, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-11500, 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 = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⫓⪴((⪎⋱⫍2804⨪↰⇹⪎⋱⫍2839≋⫹)⨰(⪎⋱⫍90A⫡⨏⪎⋱⫍B80)⊴(⪎⋱⫍820∑⇟⊟⪎⋱⫍A34))=NaN","reverse_text":"NaN=⫓⪴((⪎⋱⫍2804⨪↰⇹⪎⋱⫍2839≋⫹)⨰(⪎⋱⫍90A⫡⨏⪎⋱⫍B80)⊴(⪎⋱⫍820∑⇟⊟⪎⋱⫍A34))","cot":[{"info":"⪎⋱⫍2804⨪↰⇹⪎⋱⫍2839=⪎⋱⫍2804","layer":3},{"info":"⪎⋱⫍2804≋⫹=⪎⋱⫍-5308","layer":2},{"info":"⪎⋱⫍90A⫡⨏⪎⋱⫍B80=⪎⋱⫍5821","layer":3},{"info":"⪎⋱⫍820∑⇟⊟⪎⋱⫍A34=NaN","layer":3},{"info":"⪎⋱⫍5821⊴NaN=NaN","layer":2},{"info":"⪎⋱⫍-5308⨰NaN=NaN","layer":1},{"info":"⫓⪴NaN=NaN","layer":0}]}
{"id":478,"expression_no_base_symbol":"($4739$∑⇟⊟$1031$⪨≂(⫛⫱⨽$2607$))≎⊠⪸(↥($2015$∲⫓$2722$))⪄((⨵≀≌$3421$)⨰($1411$∲⫓$7278$))⨟⋌⩍($3027$⨪↰⇹$3399$⨽(⨈⫕$7045$))","expression":"(⪎⋱⫍2207∑⇟⊟⪎⋱⫍614⪨≂(⫛⫱⨽⪎⋱⫍1257))≎⊠⪸(↥(⪎⋱⫍BC0∲⫓⪎⋱⫍1315))⪄((⨵≀≌⪎⋱⫍1732)⨰(⪎⋱⫍847∲⫓⪎⋱⫍340B))⨟⋌⩍(⪎⋱⫍14BB⨪↰⇹⪎⋱⫍1716⨽(⨈⫕⪎⋱⫍328C))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":7925,"operation_count":14,"complexity_ratio":566.0714285714286,"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":4739,"base":13},"right_expr":{"type":"numeric_atoms","value":1031,"base":13}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":2607,"base":13}}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2015,"base":13},"right_expr":{"type":"numeric_atoms","value":2722,"base":13}}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":3421,"base":13}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1411,"base":13},"right_expr":{"type":"numeric_atoms","value":7278,"base":13}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":3027,"base":13},"right_expr":{"type":"numeric_atoms","value":3399,"base":13}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":7045,"base":13}}}}},"used_operators":["SUmda5xLS4","bJkvcejdHO","sdazOOVcIp","U7g4x0WXJJ","DlLNRPXxWL","A8NUZmVepG","i8ToyICDmI","rGHVDoGpnC","eewbuw0ToL","srAu1WTS94","8HhzD0ZcuI","tmPS8pqC7x","megm06wKyl"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rGHVDoGpnC","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rJVOvQCfKK","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q"],"result":"⪎⋱⫍1A71","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4739","layer":4},{"info":"number node, value=1031","layer":4},{"info":"compute binary expreesion, left_input=4739, right_input=1031, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=2607","layer":4},{"info":"compute unary expreesion, input=2607, 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 = 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=2015","layer":4},{"info":"number node, value=2722","layer":4},{"info":"compute binary expreesion, left_input=2015, right_input=2722, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=0","layer":2},{"info":"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":"number node, value=3421","layer":4},{"info":"compute unary expreesion, input=3421, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-10263","layer":3},{"info":"number node, value=1411","layer":4},{"info":"number node, value=7278","layer":4},{"info":"compute binary expreesion, left_input=1411, right_input=7278, 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=-10263, right_input=0, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-10253","layer":2},{"info":"number node, value=3027","layer":4},{"info":"number node, value=3399","layer":4},{"info":"compute binary expreesion, left_input=3027, right_input=3399, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=3027","layer":3},{"info":"number node, value=7045","layer":4},{"info":"compute unary expreesion, input=7045, 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=3027, right_input=-21, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-27486810","layer":2},{"info":"compute binary expreesion, left_input=-10253, right_input=-27486810, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍2207∑⇟⊟⪎⋱⫍614⪨≂(⫛⫱⨽⪎⋱⫍1257))≎⊠⪸(↥(⪎⋱⫍BC0∲⫓⪎⋱⫍1315))⪄((⨵≀≌⪎⋱⫍1732)⨰(⪎⋱⫍847∲⫓⪎⋱⫍340B))⨟⋌⩍(⪎⋱⫍14BB⨪↰⇹⪎⋱⫍1716⨽(⨈⫕⪎⋱⫍328C))=⪎⋱⫍1A71","reverse_text":"⪎⋱⫍1A71=(⪎⋱⫍2207∑⇟⊟⪎⋱⫍614⪨≂(⫛⫱⨽⪎⋱⫍1257))≎⊠⪸(↥(⪎⋱⫍BC0∲⫓⪎⋱⫍1315))⪄((⨵≀≌⪎⋱⫍1732)⨰(⪎⋱⫍847∲⫓⪎⋱⫍340B))⨟⋌⩍(⪎⋱⫍14BB⨪↰⇹⪎⋱⫍1716⨽(⨈⫕⪎⋱⫍328C))","cot":[{"info":"⪎⋱⫍2207∑⇟⊟⪎⋱⫍614=NaN","layer":3},{"info":"⫛⫱⨽⪎⋱⫍1257=⪎⋱⫍0","layer":3},{"info":"NaN⪨≂⪎⋱⫍0=NaN","layer":2},{"info":"⪎⋱⫍BC0∲⫓⪎⋱⫍1315=⪎⋱⫍0","layer":3},{"info":"↥⪎⋱⫍0=⪎⋱⫍0","layer":2},{"info":"NaN≎⊠⪸⪎⋱⫍0=NaN","layer":1},{"info":"⨵≀≌⪎⋱⫍1732=⪎⋱⫍-4896","layer":3},{"info":"⪎⋱⫍847∲⫓⪎⋱⫍340B=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍-4896⨰⪎⋱⫍0=⪎⋱⫍-4889","layer":2},{"info":"⪎⋱⫍14BB⨪↰⇹⪎⋱⫍1716=⪎⋱⫍14BB","layer":3},{"info":"⨈⫕⪎⋱⫍328C=⪎⋱⫍-18","layer":3},{"info":"⪎⋱⫍14BB⨽⪎⋱⫍-18=⪎⋱⫍-59050B0","layer":2},{"info":"⪎⋱⫍-4889⨟⋌⩍⪎⋱⫍-59050B0=NaN","layer":1},{"info":"NaN⪄NaN=⪎⋱⫍1A71","layer":0}]}
{"id":479,"expression_no_base_symbol":"((⨞⊢$2343$↬$3282$)*($5820$⊉≛↸$5651$)⩷∴$1784$⨟⋌⩍$6393$)⪢((↽≂$2134$)⫥∨⫟$3717$⪘⫢$3942$)⨟⋌⩍($1022$⩷∴$1088$-$1100$⨓$3240$)","expression":"((⨞⊢⪎⋱⫍10B3↬⪎⋱⫍1656)*(⪎⋱⫍2859⊉≛↸⪎⋱⫍2759)⩷∴⪎⋱⫍A73⨟⋌⩍⪎⋱⫍2BAA)⪢((↽≂⪎⋱⫍C82)⫥∨⫟⪎⋱⫍18CC⪘⫢⪎⋱⫍1A43)⨟⋌⩍(⪎⋱⫍608⩷∴⪎⋱⫍659-⪎⋱⫍668⨓⪎⋱⫍1623)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3440,"operation_count":14,"complexity_ratio":245.71428571428572,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2343,"base":13},"right_expr":{"type":"numeric_atoms","value":3282,"base":13}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":5820,"base":13},"right_expr":{"type":"numeric_atoms","value":5651,"base":13}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1784,"base":13},"right_expr":{"type":"numeric_atoms","value":6393,"base":13}}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":2134,"base":13}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":3717,"base":13},"right_expr":{"type":"numeric_atoms","value":3942,"base":13}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1022,"base":13},"right_expr":{"type":"numeric_atoms","value":1088,"base":13}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1100,"base":13},"right_expr":{"type":"numeric_atoms","value":3240,"base":13}}}}},"used_operators":["dWAJyo7jo9","9HNa5Wba9A","xUOZtlo3hN","B5M0gjZbta","9FxExcQeMw","DZ8iAZOCBD","rGHVDoGpnC","KYD54nUTWz","u6S6b8DprG","oacrs7FA3X","rysDP5nf3Z","3ViojmjbAp"],"dependent_operators":["k8jYdgA6NY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2343","layer":4},{"info":"number node, value=3282","layer":4},{"info":"compute binary expreesion, left_input=2343, right_input=3282, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=5820","layer":4},{"info":"number node, value=5651","layer":4},{"info":"compute binary expreesion, left_input=5820, right_input=5651, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=11640","layer":3},{"info":"number node, value=1784","layer":4},{"info":"number node, value=6393","layer":4},{"info":"compute binary expreesion, left_input=1784, right_input=6393, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=11640, right_input=nan, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=2134","layer":4},{"info":"compute unary expreesion, input=2134, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-4268","layer":3},{"info":"number node, value=3717","layer":4},{"info":"number node, value=3942","layer":4},{"info":"compute binary expreesion, left_input=3717, right_input=3942, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=7310","layer":3},{"info":"compute binary expreesion, left_input=-4268, right_input=7310, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=1022","layer":4},{"info":"number node, value=1088","layer":4},{"info":"compute binary expreesion, left_input=1022, right_input=1088, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-164","layer":3},{"info":"number node, value=1100","layer":4},{"info":"number node, value=3240","layer":4},{"info":"compute binary expreesion, left_input=1100, right_input=3240, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3243","layer":3},{"info":"compute binary expreesion, left_input=-164, right_input=-3243, op_id = rysDP5nf3Z binary_op_definition= 'None', output=3079","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=3079, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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 = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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":13,"result_base":13,"text":"((⨞⊢⪎⋱⫍10B3↬⪎⋱⫍1656)*(⪎⋱⫍2859⊉≛↸⪎⋱⫍2759)⩷∴⪎⋱⫍A73⨟⋌⩍⪎⋱⫍2BAA)⪢((↽≂⪎⋱⫍C82)⫥∨⫟⪎⋱⫍18CC⪘⫢⪎⋱⫍1A43)⨟⋌⩍(⪎⋱⫍608⩷∴⪎⋱⫍659-⪎⋱⫍668⨓⪎⋱⫍1623)=NaN","reverse_text":"NaN=((⨞⊢⪎⋱⫍10B3↬⪎⋱⫍1656)*(⪎⋱⫍2859⊉≛↸⪎⋱⫍2759)⩷∴⪎⋱⫍A73⨟⋌⩍⪎⋱⫍2BAA)⪢((↽≂⪎⋱⫍C82)⫥∨⫟⪎⋱⫍18CC⪘⫢⪎⋱⫍1A43)⨟⋌⩍(⪎⋱⫍608⩷∴⪎⋱⫍659-⪎⋱⫍668⨓⪎⋱⫍1623)","cot":[{"info":"⪎⋱⫍10B3↬⪎⋱⫍1656=NaN","layer":3},{"info":"⨞⊢NaN=NaN","layer":2},{"info":"⪎⋱⫍2859⊉≛↸⪎⋱⫍2759=⪎⋱⫍53B5","layer":3},{"info":"⪎⋱⫍A73⨟⋌⩍⪎⋱⫍2BAA=NaN","layer":3},{"info":"⪎⋱⫍53B5⩷∴NaN=NaN","layer":2},{"info":"NaN*NaN=NaN","layer":1},{"info":"↽≂⪎⋱⫍C82=⪎⋱⫍-1C34","layer":3},{"info":"⪎⋱⫍18CC⪘⫢⪎⋱⫍1A43=⪎⋱⫍3434","layer":3},{"info":"⪎⋱⫍-1C34⫥∨⫟⪎⋱⫍3434=NaN","layer":2},{"info":"⪎⋱⫍608⩷∴⪎⋱⫍659=⪎⋱⫍-C8","layer":3},{"info":"⪎⋱⫍668⨓⪎⋱⫍1623=⪎⋱⫍-1626","layer":3},{"info":"⪎⋱⫍-C8-⪎⋱⫍-1626=⪎⋱⫍152B","layer":2},{"info":"NaN⨟⋌⩍⪎⋱⫍152B=NaN","layer":1},{"info":"NaN⪢NaN=NaN","layer":0}]}
{"id":480,"expression_no_base_symbol":"(((⨈⫕$2295$)≭(⨵≀≌$8216$))∑⇟⊟($2445$↛⩡⫤)⨪↰⇹($1576$⋳⪒$3454$))⪮%⊝((⨑⩽⪐($1116$⪠⩆⊳))-($1799$≹⇙⪍$1091$≋⫹))","expression":"(((⨈⫕⪎⋱⫍1077)≭(⨵≀≌⪎⋱⫍3980))∑⇟⊟(⪎⋱⫍1161↛⩡⫤)⨪↰⇹(⪎⋱⫍943⋳⪒⪎⋱⫍1759))⪮%⊝((⨑⩽⪐(⪎⋱⫍67B⪠⩆⊳))-(⪎⋱⫍A85≹⇙⪍⪎⋱⫍65C≋⫹))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":373178,"operation_count":13,"complexity_ratio":28706.0,"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":2295,"base":13}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":8216,"base":13}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":2445,"base":13}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1576,"base":13},"right_expr":{"type":"numeric_atoms","value":3454,"base":13}}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":1116,"base":13}}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1799,"base":13},"right_expr":{"type":"numeric_atoms","value":1091,"base":13}}}}},"used_operators":["IWmyXbctLI","U7g4x0WXJJ","rxpJgHHUmx","megm06wKyl","srAu1WTS94","tmPS8pqC7x","FU0Cs4j7VP","12rbrZMWeM","rysDP5nf3Z","AF7qkfDlqP","JLbD19bQDL","N41Kp7NANJ","AHs5Up7iyr"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","AHs5Up7iyr","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rJVOvQCfKK","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2295","layer":4},{"info":"compute unary expreesion, input=2295, 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=8216","layer":4},{"info":"compute unary expreesion, input=8216, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-24648","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=-24648, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=2445","layer":4},{"info":"compute unary expreesion, input=2445, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-365284","layer":3},{"info":"number node, value=1576","layer":4},{"info":"number node, value=3454","layer":4},{"info":"compute binary expreesion, left_input=1576, right_input=3454, 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=-365284, right_input=-589, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=-365284","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-365284, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=1116","layer":4},{"info":"compute unary expreesion, input=1116, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=789","layer":2},{"info":"number node, value=1799","layer":4},{"info":"number node, value=1091","layer":4},{"info":"compute binary expreesion, left_input=1799, right_input=1091, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=789, 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 = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(((⨈⫕⪎⋱⫍1077)≭(⨵≀≌⪎⋱⫍3980))∑⇟⊟(⪎⋱⫍1161↛⩡⫤)⨪↰⇹(⪎⋱⫍943⋳⪒⪎⋱⫍1759))⪮%⊝((⨑⩽⪐(⪎⋱⫍67B⪠⩆⊳))-(⪎⋱⫍A85≹⇙⪍⪎⋱⫍65C≋⫹))=NaN","reverse_text":"NaN=(((⨈⫕⪎⋱⫍1077)≭(⨵≀≌⪎⋱⫍3980))∑⇟⊟(⪎⋱⫍1161↛⩡⫤)⨪↰⇹(⪎⋱⫍943⋳⪒⪎⋱⫍1759))⪮%⊝((⨑⩽⪐(⪎⋱⫍67B⪠⩆⊳))-(⪎⋱⫍A85≹⇙⪍⪎⋱⫍65C≋⫹))","cot":[{"info":"⨈⫕⪎⋱⫍1077=⪎⋱⫍-18","layer":3},{"info":"⨵≀≌⪎⋱⫍3980=⪎⋱⫍-B2B0","layer":3},{"info":"⪎⋱⫍-18≭⪎⋱⫍-B2B0=NaN","layer":2},{"info":"⪎⋱⫍1161↛⩡⫤=⪎⋱⫍-CA35A","layer":3},{"info":"⪎⋱⫍943⋳⪒⪎⋱⫍1759=⪎⋱⫍-364","layer":3},{"info":"⪎⋱⫍-CA35A⨪↰⇹⪎⋱⫍-364=⪎⋱⫍-CA35A","layer":2},{"info":"NaN∑⇟⊟⪎⋱⫍-CA35A=NaN","layer":1},{"info":"⪎⋱⫍67B⪠⩆⊳=⪎⋱⫍0","layer":3},{"info":"⨑⩽⪐⪎⋱⫍0=⪎⋱⫍489","layer":2},{"info":"⪎⋱⫍A85≹⇙⪍⪎⋱⫍65C=NaN","layer":3},{"info":"NaN≋⫹=NaN","layer":2},{"info":"⪎⋱⫍489-NaN=NaN","layer":1},{"info":"NaN⪮%⊝NaN=NaN","layer":0}]}
{"id":481,"expression_no_base_symbol":"(($1004$⪢$1203$∲⫓(⨈⫕$1707$))⫸⊐$4940$↬$1860$≧⫂∧($4297$⩤))⪢(((≉$2402$)⨵⪆(↣≠⋷$3729$))⨸⪁(⊥($5543$⋓$1543$)))","expression":"((⪎⋱⫍5C3⪢⪎⋱⫍717∲⫓(⨈⫕⪎⋱⫍A14))⫸⊐⪎⋱⫍2330↬⪎⋱⫍B01≧⫂∧(⪎⋱⫍1C57⩤))⪢(((≉⪎⋱⫍112A)⨵⪆(↣≠⋷⪎⋱⫍190B))⨸⪁(⊥(⪎⋱⫍26A5⋓⪎⋱⫍919)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1941,"operation_count":14,"complexity_ratio":138.64285714285714,"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":1004,"base":13},"right_expr":{"type":"numeric_atoms","value":1203,"base":13}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":1707,"base":13}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":4940,"base":13},"right_expr":{"type":"numeric_atoms","value":1860,"base":13}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":4297,"base":13}}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":2402,"base":13}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":3729,"base":13}}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":5543,"base":13},"right_expr":{"type":"numeric_atoms","value":1543,"base":13}}}}},"used_operators":["dWAJyo7jo9","mqXw5SEYmG","i8ToyICDmI","megm06wKyl","Ph9nP6C5qx","B5M0gjZbta","Z2TMIBDE3Q","g55IO6H4Gj","2DQ55sFlQl","e1ybzncUwg","Asc51vEJeQ","Q3PJZHRvZv","T2fj7uvVaJ"],"dependent_operators":["k8jYdgA6NY","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","fu6greOZ01","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1004","layer":4},{"info":"number node, value=1203","layer":4},{"info":"compute binary expreesion, left_input=1004, right_input=1203, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=1707","layer":4},{"info":"compute unary expreesion, input=1707, 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 = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":2},{"info":"number node, value=4940","layer":4},{"info":"number node, value=1860","layer":4},{"info":"compute binary expreesion, left_input=4940, right_input=1860, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=4297","layer":4},{"info":"compute unary expreesion, input=4297, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-4297","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-4297, 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 = 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=2402","layer":4},{"info":"compute unary expreesion, input=2402, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=2933","layer":3},{"info":"number node, value=3729","layer":4},{"info":"compute unary expreesion, input=3729, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2933, 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=5543","layer":4},{"info":"number node, value=1543","layer":4},{"info":"compute binary expreesion, left_input=5543, right_input=1543, op_id = T2fj7uvVaJ binary_op_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":"compute binary expreesion, left_input=160, right_input=0, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=320","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=320, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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":13,"result_base":13,"text":"((⪎⋱⫍5C3⪢⪎⋱⫍717∲⫓(⨈⫕⪎⋱⫍A14))⫸⊐⪎⋱⫍2330↬⪎⋱⫍B01≧⫂∧(⪎⋱⫍1C57⩤))⪢(((≉⪎⋱⫍112A)⨵⪆(↣≠⋷⪎⋱⫍190B))⨸⪁(⊥(⪎⋱⫍26A5⋓⪎⋱⫍919)))=NaN","reverse_text":"NaN=((⪎⋱⫍5C3⪢⪎⋱⫍717∲⫓(⨈⫕⪎⋱⫍A14))⫸⊐⪎⋱⫍2330↬⪎⋱⫍B01≧⫂∧(⪎⋱⫍1C57⩤))⪢(((≉⪎⋱⫍112A)⨵⪆(↣≠⋷⪎⋱⫍190B))⨸⪁(⊥(⪎⋱⫍26A5⋓⪎⋱⫍919)))","cot":[{"info":"⪎⋱⫍5C3⪢⪎⋱⫍717=NaN","layer":3},{"info":"⨈⫕⪎⋱⫍A14=⪎⋱⫍-18","layer":3},{"info":"NaN∲⫓⪎⋱⫍-18=NaN","layer":2},{"info":"⪎⋱⫍2330↬⪎⋱⫍B01=NaN","layer":3},{"info":"⪎⋱⫍1C57⩤=⪎⋱⫍-1C57","layer":3},{"info":"NaN≧⫂∧⪎⋱⫍-1C57=NaN","layer":2},{"info":"NaN⫸⊐NaN=NaN","layer":1},{"info":"≉⪎⋱⫍112A=⪎⋱⫍1448","layer":3},{"info":"↣≠⋷⪎⋱⫍190B=NaN","layer":3},{"info":"⪎⋱⫍1448⨵⪆NaN=⪎⋱⫍C4","layer":2},{"info":"⪎⋱⫍26A5⋓⪎⋱⫍919=⪎⋱⫍0","layer":3},{"info":"⊥⪎⋱⫍0=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍C4⨸⪁⪎⋱⫍0=⪎⋱⫍1B8","layer":1},{"info":"NaN⪢⪎⋱⫍1B8=NaN","layer":0}]}
{"id":482,"expression_no_base_symbol":"(⪲⇎(-(⨰⫟⨤$4023$)))≎⊠⪸(⊥(($1386$⩤)⨸⪁$1481$⩚⊴⇥$1608$))","expression":"(⪲⇎(-(⨰⫟⨤⪎⋱⫍1AA6)))≎⊠⪸(⊥((⪎⋱⫍828⩤)⨸⪁⪎⋱⫍89C⩚⊴⇥⪎⋱⫍969))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":15274,"operation_count":8,"complexity_ratio":1909.25,"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":4023,"base":13}}}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":1386,"base":13}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1481,"base":13},"right_expr":{"type":"numeric_atoms","value":1608,"base":13}}}}},"used_operators":["bJkvcejdHO","XPYlsWDdGa","t8gj7n24qd","Tw270M8GLb","Q3PJZHRvZv","g55IO6H4Gj","Z2TMIBDE3Q","NTOWxs364D"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","fu6greOZ01","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"⪎⋱⫍52","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4023","layer":4},{"info":"compute unary expreesion, input=4023, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = t8gj7n24qd, unary_op_definition = 'None', output=nan","layer":2},{"info":"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=1386","layer":4},{"info":"compute unary expreesion, input=1386, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-1386","layer":3},{"info":"number node, value=1481","layer":4},{"info":"number node, value=1608","layer":4},{"info":"compute binary expreesion, left_input=1481, right_input=1608, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3210","layer":3},{"info":"compute binary expreesion, left_input=-1386, right_input=-3210, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-9192","layer":2},{"info":"compute unary expreesion, input=-9192, 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 = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":0}],"base":13,"result_base":13,"text":"(⪲⇎(-(⨰⫟⨤⪎⋱⫍1AA6)))≎⊠⪸(⊥((⪎⋱⫍828⩤)⨸⪁⪎⋱⫍89C⩚⊴⇥⪎⋱⫍969))=⪎⋱⫍52","reverse_text":"⪎⋱⫍52=(⪲⇎(-(⨰⫟⨤⪎⋱⫍1AA6)))≎⊠⪸(⊥((⪎⋱⫍828⩤)⨸⪁⪎⋱⫍89C⩚⊴⇥⪎⋱⫍969))","cot":[{"info":"⨰⫟⨤⪎⋱⫍1AA6=NaN","layer":3},{"info":"-NaN=NaN","layer":2},{"info":"⪲⇎NaN=NaN","layer":1},{"info":"⪎⋱⫍828⩤=⪎⋱⫍-828","layer":3},{"info":"⪎⋱⫍89C⩚⊴⇥⪎⋱⫍969=⪎⋱⫍-15CC","layer":3},{"info":"⪎⋱⫍-828⨸⪁⪎⋱⫍-15CC=⪎⋱⫍-4251","layer":2},{"info":"⊥⪎⋱⫍-4251=NaN","layer":1},{"info":"NaN≎⊠⪸NaN=⪎⋱⫍52","layer":0}]}
{"id":483,"expression_no_base_symbol":"((($3641$↺$1453$)⋝⋈⪟$1009$∑⇟⊟$5278$)≦≮≮)+(⊙↵-($2094$⫡⨏$6674$))⨰(($2095$⨳⩥⨓$2253$)≫≃)","expression":"(((⪎⋱⫍1871↺⪎⋱⫍87A)⋝⋈⪟⪎⋱⫍5C8∑⇟⊟⪎⋱⫍2530)≦≮≮)+(⊙↵-(⪎⋱⫍C51⫡⨏⪎⋱⫍3065))⨰((⪎⋱⫍C52⨳⩥⨓⪎⋱⫍1044)≫≃)","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":24680,"operation_count":10,"complexity_ratio":2468.0,"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":3641,"base":13},"right_expr":{"type":"numeric_atoms","value":1453,"base":13}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1009,"base":13},"right_expr":{"type":"numeric_atoms","value":5278,"base":13}}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2094,"base":13},"right_expr":{"type":"numeric_atoms","value":6674,"base":13}}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2095,"base":13},"right_expr":{"type":"numeric_atoms","value":2253,"base":13}}}}},"used_operators":["W4YGzv6Whe","D4vGDi5EA2","2DDjHMKMc0","7j4O788W3g","U7g4x0WXJJ","eewbuw0ToL","oWn0xqSxBt","QMFrweE19q","X99M06cbEe","nCS4ZIUYfx"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3641","layer":4},{"info":"number node, value=1453","layer":4},{"info":"compute binary expreesion, left_input=3641, right_input=1453, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1453","layer":3},{"info":"number node, value=1009","layer":4},{"info":"number node, value=5278","layer":4},{"info":"compute binary expreesion, left_input=1009, right_input=5278, 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=1453, 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 = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=nan","layer":1},{"info":"number node, value=2094","layer":4},{"info":"number node, value=6674","layer":4},{"info":"compute binary expreesion, left_input=2094, right_input=6674, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=24601","layer":3},{"info":"compute unary expreesion, input=24601, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":2},{"info":"number node, value=2095","layer":4},{"info":"number node, value=2253","layer":4},{"info":"compute binary expreesion, left_input=2095, right_input=2253, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=158","layer":3},{"info":"compute unary expreesion, input=158, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=1717","layer":2},{"info":"compute binary expreesion, left_input=-1, right_input=1717, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-1708","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-1708, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":13,"result_base":13,"text":"(((⪎⋱⫍1871↺⪎⋱⫍87A)⋝⋈⪟⪎⋱⫍5C8∑⇟⊟⪎⋱⫍2530)≦≮≮)+(⊙↵-(⪎⋱⫍C51⫡⨏⪎⋱⫍3065))⨰((⪎⋱⫍C52⨳⩥⨓⪎⋱⫍1044)≫≃)=NaN","reverse_text":"NaN=(((⪎⋱⫍1871↺⪎⋱⫍87A)⋝⋈⪟⪎⋱⫍5C8∑⇟⊟⪎⋱⫍2530)≦≮≮)+(⊙↵-(⪎⋱⫍C51⫡⨏⪎⋱⫍3065))⨰((⪎⋱⫍C52⨳⩥⨓⪎⋱⫍1044)≫≃)","cot":[{"info":"⪎⋱⫍1871↺⪎⋱⫍87A=⪎⋱⫍87A","layer":3},{"info":"⪎⋱⫍5C8∑⇟⊟⪎⋱⫍2530=NaN","layer":3},{"info":"⪎⋱⫍87A⋝⋈⪟NaN=NaN","layer":2},{"info":"NaN≦≮≮=NaN","layer":1},{"info":"⪎⋱⫍C51⫡⨏⪎⋱⫍3065=⪎⋱⫍B275","layer":3},{"info":"⊙↵-⪎⋱⫍B275=⪎⋱⫍-1","layer":2},{"info":"⪎⋱⫍C52⨳⩥⨓⪎⋱⫍1044=⪎⋱⫍C2","layer":3},{"info":"⪎⋱⫍C2≫≃=⪎⋱⫍A21","layer":2},{"info":"⪎⋱⫍-1⨰⪎⋱⫍A21=⪎⋱⫍-A15","layer":1},{"info":"NaN+⪎⋱⫍-A15=NaN","layer":0}]}
{"id":484,"expression_no_base_symbol":"(($2468$⊭↱$3002$)⇷($3622$⫸⊐$9021$)⫥∨⫟(($1431$⪒$2383$)⫸⊐$6972$↺$2756$))≦≮≮","expression":"((⪎⋱⫍117B⊭↱⪎⋱⫍149C)⇷(⪎⋱⫍1858⫸⊐⪎⋱⫍414C)⫥∨⫟((⪎⋱⫍861⪒⪎⋱⫍1114)⫸⊐⪎⋱⫍3234↺⪎⋱⫍1340))≦≮≮","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":15224,"operation_count":8,"complexity_ratio":1903.0,"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":2468,"base":13},"right_expr":{"type":"numeric_atoms","value":3002,"base":13}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":3622,"base":13},"right_expr":{"type":"numeric_atoms","value":9021,"base":13}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1431,"base":13},"right_expr":{"type":"numeric_atoms","value":2383,"base":13}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":6972,"base":13},"right_expr":{"type":"numeric_atoms","value":2756,"base":13}}}}},"used_operators":["D4vGDi5EA2","KYD54nUTWz","mp7IySMOzn","COABgblf1C","mqXw5SEYmG","f6k1SAg4EE","7j4O788W3g"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2468","layer":4},{"info":"number node, value=3002","layer":4},{"info":"compute binary expreesion, left_input=2468, right_input=3002, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=1073","layer":3},{"info":"number node, value=3622","layer":4},{"info":"number node, value=9021","layer":4},{"info":"compute binary expreesion, left_input=3622, right_input=9021, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=35959","layer":3},{"info":"compute binary expreesion, left_input=1073, right_input=35959, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=71918","layer":2},{"info":"number node, value=1431","layer":4},{"info":"number node, value=2383","layer":4},{"info":"compute binary expreesion, left_input=1431, right_input=2383, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-3814","layer":3},{"info":"number node, value=6972","layer":4},{"info":"number node, value=2756","layer":4},{"info":"compute binary expreesion, left_input=6972, right_input=2756, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2756","layer":3},{"info":"compute binary expreesion, left_input=-3814, right_input=2756, 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=71918, right_input=968, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍117B⊭↱⪎⋱⫍149C)⇷(⪎⋱⫍1858⫸⊐⪎⋱⫍414C)⫥∨⫟((⪎⋱⫍861⪒⪎⋱⫍1114)⫸⊐⪎⋱⫍3234↺⪎⋱⫍1340))≦≮≮=NaN","reverse_text":"NaN=((⪎⋱⫍117B⊭↱⪎⋱⫍149C)⇷(⪎⋱⫍1858⫸⊐⪎⋱⫍414C)⫥∨⫟((⪎⋱⫍861⪒⪎⋱⫍1114)⫸⊐⪎⋱⫍3234↺⪎⋱⫍1340))≦≮≮","cot":[{"info":"⪎⋱⫍117B⊭↱⪎⋱⫍149C=⪎⋱⫍647","layer":3},{"info":"⪎⋱⫍1858⫸⊐⪎⋱⫍414C=⪎⋱⫍134A1","layer":3},{"info":"⪎⋱⫍647⇷⪎⋱⫍134A1=⪎⋱⫍26972","layer":2},{"info":"⪎⋱⫍861⪒⪎⋱⫍1114=⪎⋱⫍-1975","layer":3},{"info":"⪎⋱⫍3234↺⪎⋱⫍1340=⪎⋱⫍1340","layer":3},{"info":"⪎⋱⫍-1975⫸⊐⪎⋱⫍1340=⪎⋱⫍596","layer":2},{"info":"⪎⋱⫍26972⫥∨⫟⪎⋱⫍596=NaN","layer":1},{"info":"NaN≦≮≮=NaN","layer":0}]}
{"id":485,"expression_no_base_symbol":"(↩($4421$≫≃)⪘⫢($3522$%$5348$))⊭↱($2645$∀⇚≩$3038$⇋≉)⨎($2825$≎⊠⪸$3940$)⪮%⊝($2720$%$2625$)","expression":"(↩(⪎⋱⫍2021≫≃)⪘⫢(⪎⋱⫍17AC%⪎⋱⫍2585))⊭↱(⪎⋱⫍1286∀⇚≩⪎⋱⫍14C9⇋≉)⨎(⪎⋱⫍1394≎⊠⪸⪎⋱⫍1A41)⪮%⊝(⪎⋱⫍1313%⪎⋱⫍126C)","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":18844,"operation_count":11,"complexity_ratio":1713.090909090909,"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":4421,"base":13}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":3522,"base":13},"right_expr":{"type":"numeric_atoms","value":5348,"base":13}}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2645,"base":13},"right_expr":{"type":"numeric_atoms","value":3038,"base":13}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2825,"base":13},"right_expr":{"type":"numeric_atoms","value":3940,"base":13}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2720,"base":13},"right_expr":{"type":"numeric_atoms","value":2625,"base":13}}}}},"used_operators":["COABgblf1C","jLgFTUHLKL","oacrs7FA3X","X99M06cbEe","k8jYdgA6NY","rJVOvQCfKK","XIabStNQrY","LRNGc0VcxI","IWmyXbctLI","bJkvcejdHO"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rysDP5nf3Z","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"⪎⋱⫍898426","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4421","layer":4},{"info":"compute unary expreesion, input=4421, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=10243","layer":3},{"info":"number node, value=3522","layer":4},{"info":"number node, value=5348","layer":4},{"info":"compute binary expreesion, left_input=3522, right_input=5348, op_id = k8jYdgA6NY binary_op_definition= 'None', output=3522","layer":3},{"info":"compute binary expreesion, left_input=10243, right_input=3522, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=20362","layer":2},{"info":"compute unary expreesion, input=20362, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-160116","layer":1},{"info":"number node, value=2645","layer":4},{"info":"number node, value=3038","layer":4},{"info":"compute binary expreesion, left_input=2645, right_input=3038, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=nan","layer":2},{"info":"number node, value=2825","layer":4},{"info":"number node, value=3940","layer":4},{"info":"compute binary expreesion, left_input=2825, right_input=3940, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=731202","layer":3},{"info":"number node, value=2720","layer":4},{"info":"number node, value=2625","layer":4},{"info":"compute binary expreesion, left_input=2720, right_input=2625, op_id = k8jYdgA6NY binary_op_definition= 'None', output=95","layer":3},{"info":"compute binary expreesion, left_input=731202, right_input=95, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=1462720","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1462720, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1462720","layer":1},{"info":"compute binary expreesion, left_input=-160116, right_input=1462720, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=3245677","layer":0}],"base":13,"result_base":13,"text":"(↩(⪎⋱⫍2021≫≃)⪘⫢(⪎⋱⫍17AC%⪎⋱⫍2585))⊭↱(⪎⋱⫍1286∀⇚≩⪎⋱⫍14C9⇋≉)⨎(⪎⋱⫍1394≎⊠⪸⪎⋱⫍1A41)⪮%⊝(⪎⋱⫍1313%⪎⋱⫍126C)=⪎⋱⫍898426","reverse_text":"⪎⋱⫍898426=(↩(⪎⋱⫍2021≫≃)⪘⫢(⪎⋱⫍17AC%⪎⋱⫍2585))⊭↱(⪎⋱⫍1286∀⇚≩⪎⋱⫍14C9⇋≉)⨎(⪎⋱⫍1394≎⊠⪸⪎⋱⫍1A41)⪮%⊝(⪎⋱⫍1313%⪎⋱⫍126C)","cot":[{"info":"⪎⋱⫍2021≫≃=⪎⋱⫍487C","layer":3},{"info":"⪎⋱⫍17AC%⪎⋱⫍2585=⪎⋱⫍17AC","layer":3},{"info":"⪎⋱⫍487C⪘⫢⪎⋱⫍17AC=⪎⋱⫍9364","layer":2},{"info":"↩⪎⋱⫍9364=⪎⋱⫍-57B58","layer":1},{"info":"⪎⋱⫍1286∀⇚≩⪎⋱⫍14C9=NaN","layer":3},{"info":"NaN⇋≉=NaN","layer":2},{"info":"⪎⋱⫍1394≎⊠⪸⪎⋱⫍1A41=⪎⋱⫍1C7A84","layer":3},{"info":"⪎⋱⫍1313%⪎⋱⫍126C=⪎⋱⫍74","layer":3},{"info":"⪎⋱⫍1C7A84⪮%⊝⪎⋱⫍74=⪎⋱⫍3C2A1C","layer":2},{"info":"NaN⨎⪎⋱⫍3C2A1C=⪎⋱⫍3C2A1C","layer":1},{"info":"⪎⋱⫍-57B58⊭↱⪎⋱⫍3C2A1C=⪎⋱⫍898426","layer":0}]}
{"id":486,"expression_no_base_symbol":"($1041$⨟⋌⩍$3397$↙$4068$⪛$5753$)⨓(⪲⇎($3178$∲⫓$4243$))≎⊠⪸(↔(($1570$⫥∨⫟$2837$)⩷∴($3830$⊭∹↮)))","expression":"(⪎⋱⫍621⨟⋌⩍⪎⋱⫍1714↙⪎⋱⫍1B0C⪛⪎⋱⫍2807)⨓(⪲⇎(⪎⋱⫍15A6∲⫓⪎⋱⫍1C15))≎⊠⪸(↔((⪎⋱⫍93A⫥∨⫟⪎⋱⫍13A3)⩷∴(⪎⋱⫍1988⊭∹↮)))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":217,"operation_count":11,"complexity_ratio":19.727272727272727,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1041,"base":13},"right_expr":{"type":"numeric_atoms","value":3397,"base":13}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":4068,"base":13},"right_expr":{"type":"numeric_atoms","value":5753,"base":13}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":3178,"base":13},"right_expr":{"type":"numeric_atoms","value":4243,"base":13}}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1570,"base":13},"right_expr":{"type":"numeric_atoms","value":2837,"base":13}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":3830,"base":13}}}}},"used_operators":["bJkvcejdHO","3ViojmjbAp","yyfyN0ffXY","rGHVDoGpnC","uFcxV4UQCh","XPYlsWDdGa","i8ToyICDmI","ruOEQAzv1W","9FxExcQeMw","KYD54nUTWz","xNBdhnnwKq"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","tmPS8pqC7x","DpFCA1CohY","Tcnh7f0tEr","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","8HhzD0ZcuI","rGHVDoGpnC","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1041","layer":4},{"info":"number node, value=3397","layer":4},{"info":"compute binary expreesion, left_input=1041, right_input=3397, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=4068","layer":4},{"info":"number node, value=5753","layer":4},{"info":"compute binary expreesion, left_input=4068, right_input=5753, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=4068","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4068, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":2},{"info":"number node, value=3178","layer":4},{"info":"number node, value=4243","layer":4},{"info":"compute binary expreesion, left_input=3178, right_input=4243, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":1},{"info":"number node, value=1570","layer":4},{"info":"number node, value=2837","layer":4},{"info":"compute binary expreesion, left_input=1570, right_input=2837, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=3830","layer":4},{"info":"compute unary expreesion, input=3830, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=7660","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=7660, 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":"compute binary expreesion, left_input=nan, right_input=-134, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍621⨟⋌⩍⪎⋱⫍1714↙⪎⋱⫍1B0C⪛⪎⋱⫍2807)⨓(⪲⇎(⪎⋱⫍15A6∲⫓⪎⋱⫍1C15))≎⊠⪸(↔((⪎⋱⫍93A⫥∨⫟⪎⋱⫍13A3)⩷∴(⪎⋱⫍1988⊭∹↮)))=NaN","reverse_text":"NaN=(⪎⋱⫍621⨟⋌⩍⪎⋱⫍1714↙⪎⋱⫍1B0C⪛⪎⋱⫍2807)⨓(⪲⇎(⪎⋱⫍15A6∲⫓⪎⋱⫍1C15))≎⊠⪸(↔((⪎⋱⫍93A⫥∨⫟⪎⋱⫍13A3)⩷∴(⪎⋱⫍1988⊭∹↮)))","cot":[{"info":"⪎⋱⫍621⨟⋌⩍⪎⋱⫍1714=NaN","layer":3},{"info":"⪎⋱⫍1B0C⪛⪎⋱⫍2807=⪎⋱⫍1B0C","layer":3},{"info":"NaN↙⪎⋱⫍1B0C=NaN","layer":2},{"info":"⪎⋱⫍15A6∲⫓⪎⋱⫍1C15=⪎⋱⫍0","layer":3},{"info":"⪲⇎⪎⋱⫍0=⪎⋱⫍0","layer":2},{"info":"NaN⨓⪎⋱⫍0=NaN","layer":1},{"info":"⪎⋱⫍93A⫥∨⫟⪎⋱⫍13A3=NaN","layer":3},{"info":"⪎⋱⫍1988⊭∹↮=⪎⋱⫍3643","layer":3},{"info":"NaN⩷∴⪎⋱⫍3643=NaN","layer":2},{"info":"↔NaN=⪎⋱⫍-A4","layer":1},{"info":"NaN≎⊠⪸⪎⋱⫍-A4=NaN","layer":0}]}
{"id":487,"expression_no_base_symbol":"(($4771$-$2017$)⨳⩥⨓($7363$/$1407$))⇷(($1088$⫸⊐$3149$)⨓$3124$⪛$1003$)⋥≓≎(↣≠⋷((+⊝⨔$6179$)⨸⪁(∥⊫$2216$)))","expression":"((⪎⋱⫍2230-⪎⋱⫍BC2)⨳⩥⨓(⪎⋱⫍3475/⪎⋱⫍843))⇷((⪎⋱⫍659⫸⊐⪎⋱⫍1583)⨓⪎⋱⫍1564⪛⪎⋱⫍5C2)⋥≓≎(↣≠⋷((+⊝⨔⪎⋱⫍2A74)⨸⪁(∥⊫⪎⋱⫍1016)))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":38706,"operation_count":12,"complexity_ratio":3225.5,"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":4771,"base":13},"right_expr":{"type":"numeric_atoms","value":2017,"base":13}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":7363,"base":13},"right_expr":{"type":"numeric_atoms","value":1407,"base":13}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1088,"base":13},"right_expr":{"type":"numeric_atoms","value":3149,"base":13}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":3124,"base":13},"right_expr":{"type":"numeric_atoms","value":1003,"base":13}}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":6179,"base":13}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":2216,"base":13}}}}},"used_operators":["Qy55tPpLXF","mp7IySMOzn","nCS4ZIUYfx","rysDP5nf3Z","XhwjNDsVaA","3ViojmjbAp","mqXw5SEYmG","uFcxV4UQCh","Asc51vEJeQ","g55IO6H4Gj","DhbWaqg5eL","P8v4zCKN1o"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","XhwjNDsVaA","AHs5Up7iyr","W4YGzv6Whe","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍52","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4771","layer":4},{"info":"number node, value=2017","layer":4},{"info":"compute binary expreesion, left_input=4771, right_input=2017, op_id = rysDP5nf3Z binary_op_definition= 'None', output=2754","layer":3},{"info":"number node, value=7363","layer":4},{"info":"number node, value=1407","layer":4},{"info":"compute binary expreesion, left_input=7363, right_input=1407, op_id = XhwjNDsVaA binary_op_definition= 'None', output=5","layer":3},{"info":"compute binary expreesion, left_input=2754, right_input=5, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-2749","layer":2},{"info":"number node, value=1088","layer":4},{"info":"number node, value=3149","layer":4},{"info":"compute binary expreesion, left_input=1088, right_input=3149, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=12471","layer":3},{"info":"number node, value=3124","layer":4},{"info":"number node, value=1003","layer":4},{"info":"compute binary expreesion, left_input=3124, right_input=1003, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=115","layer":3},{"info":"compute binary expreesion, left_input=12471, right_input=115, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-118","layer":2},{"info":"compute binary expreesion, left_input=-2749, right_input=-118, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":1},{"info":"number node, value=6179","layer":4},{"info":"compute unary expreesion, input=6179, 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=2216","layer":4},{"info":"compute unary expreesion, input=2216, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=3084","layer":3},{"info":"compute binary expreesion, left_input=1522, right_input=3084, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=9212","layer":2},{"info":"compute unary expreesion, input=9212, 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 = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍2230-⪎⋱⫍BC2)⨳⩥⨓(⪎⋱⫍3475/⪎⋱⫍843))⇷((⪎⋱⫍659⫸⊐⪎⋱⫍1583)⨓⪎⋱⫍1564⪛⪎⋱⫍5C2)⋥≓≎(↣≠⋷((+⊝⨔⪎⋱⫍2A74)⨸⪁(∥⊫⪎⋱⫍1016)))=⪎⋱⫍52","reverse_text":"⪎⋱⫍52=((⪎⋱⫍2230-⪎⋱⫍BC2)⨳⩥⨓(⪎⋱⫍3475/⪎⋱⫍843))⇷((⪎⋱⫍659⫸⊐⪎⋱⫍1583)⨓⪎⋱⫍1564⪛⪎⋱⫍5C2)⋥≓≎(↣≠⋷((+⊝⨔⪎⋱⫍2A74)⨸⪁(∥⊫⪎⋱⫍1016)))","cot":[{"info":"⪎⋱⫍2230-⪎⋱⫍BC2=⪎⋱⫍133B","layer":3},{"info":"⪎⋱⫍3475/⪎⋱⫍843=⪎⋱⫍5","layer":3},{"info":"⪎⋱⫍133B⨳⩥⨓⪎⋱⫍5=⪎⋱⫍-1336","layer":2},{"info":"⪎⋱⫍659⫸⊐⪎⋱⫍1583=⪎⋱⫍58A4","layer":3},{"info":"⪎⋱⫍1564⪛⪎⋱⫍5C2=⪎⋱⫍8B","layer":3},{"info":"⪎⋱⫍58A4⨓⪎⋱⫍8B=⪎⋱⫍-91","layer":2},{"info":"⪎⋱⫍-1336⇷⪎⋱⫍-91=NaN","layer":1},{"info":"+⊝⨔⪎⋱⫍2A74=⪎⋱⫍901","layer":3},{"info":"∥⊫⪎⋱⫍1016=⪎⋱⫍1533","layer":3},{"info":"⪎⋱⫍901⨸⪁⪎⋱⫍1533=⪎⋱⫍4268","layer":2},{"info":"↣≠⋷⪎⋱⫍4268=NaN","layer":1},{"info":"NaN⋥≓≎NaN=⪎⋱⫍52","layer":0}]}
{"id":488,"expression_no_base_symbol":"($1017$⊴$3986$-(⪝⪂⫅$1652$))⊴(($3971$≋⫹)⋫)⨎(≉($1429$⨟⋌⩍$3419$⨵⪆($5699$⨵⪆$4133$)))","expression":"(⪎⋱⫍603⊴⪎⋱⫍1A78-(⪝⪂⫅⪎⋱⫍9A1))⊴((⪎⋱⫍1A66≋⫹)⋫)⨎(≉(⪎⋱⫍85C⨟⋌⩍⪎⋱⫍1730⨵⪆(⪎⋱⫍2795⨵⪆⪎⋱⫍1B5C)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":20042,"operation_count":11,"complexity_ratio":1822.0,"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":1017,"base":13},"right_expr":{"type":"numeric_atoms","value":3986,"base":13}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":1652,"base":13}}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":3971,"base":13}}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1429,"base":13},"right_expr":{"type":"numeric_atoms","value":3419,"base":13}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":5699,"base":13},"right_expr":{"type":"numeric_atoms","value":4133,"base":13}}}}},"used_operators":["rJVOvQCfKK","Nsiff2A1zJ","rysDP5nf3Z","XTarYq4gQB","JL8yIekQnl","N41Kp7NANJ","e1ybzncUwg","2DQ55sFlQl","rGHVDoGpnC"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","dWAJyo7jo9","14qkJME0vr","9HNa5Wba9A","8w2t5hMYqp","tmPS8pqC7x","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr"],"result":"⪎⋱⫍412","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1017","layer":4},{"info":"number node, value=3986","layer":4},{"info":"compute binary expreesion, left_input=1017, right_input=3986, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=1652","layer":4},{"info":"compute unary expreesion, input=1652, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-242844","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-242844, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=3971","layer":4},{"info":"compute unary expreesion, input=3971, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-7942","layer":3},{"info":"compute unary expreesion, input=-7942, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=-7942","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-7942, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=1429","layer":4},{"info":"number node, value=3419","layer":4},{"info":"compute binary expreesion, left_input=1429, right_input=3419, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=5699","layer":4},{"info":"number node, value=4133","layer":4},{"info":"compute binary expreesion, left_input=5699, right_input=4133, 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 = 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 = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=691","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=691, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=691","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍603⊴⪎⋱⫍1A78-(⪝⪂⫅⪎⋱⫍9A1))⊴((⪎⋱⫍1A66≋⫹)⋫)⨎(≉(⪎⋱⫍85C⨟⋌⩍⪎⋱⫍1730⨵⪆(⪎⋱⫍2795⨵⪆⪎⋱⫍1B5C)))=⪎⋱⫍412","reverse_text":"⪎⋱⫍412=(⪎⋱⫍603⊴⪎⋱⫍1A78-(⪝⪂⫅⪎⋱⫍9A1))⊴((⪎⋱⫍1A66≋⫹)⋫)⨎(≉(⪎⋱⫍85C⨟⋌⩍⪎⋱⫍1730⨵⪆(⪎⋱⫍2795⨵⪆⪎⋱⫍1B5C)))","cot":[{"info":"⪎⋱⫍603⊴⪎⋱⫍1A78=NaN","layer":3},{"info":"⪝⪂⫅⪎⋱⫍9A1=⪎⋱⫍-866C4","layer":3},{"info":"NaN-⪎⋱⫍-866C4=NaN","layer":2},{"info":"⪎⋱⫍1A66≋⫹=⪎⋱⫍-37CC","layer":3},{"info":"⪎⋱⫍-37CC⋫=⪎⋱⫍-37CC","layer":2},{"info":"NaN⊴⪎⋱⫍-37CC=NaN","layer":1},{"info":"⪎⋱⫍85C⨟⋌⩍⪎⋱⫍1730=NaN","layer":3},{"info":"⪎⋱⫍2795⨵⪆⪎⋱⫍1B5C=⪎⋱⫍C4","layer":3},{"info":"NaN⨵⪆⪎⋱⫍C4=⪎⋱⫍C4","layer":2},{"info":"≉⪎⋱⫍C4=⪎⋱⫍412","layer":1},{"info":"NaN⨎⪎⋱⫍412=⪎⋱⫍412","layer":0}]}
{"id":489,"expression_no_base_symbol":"-(($1098$⋝⋈⪟$2338$)⨟⋌⩍(≦∁$3308$)∸)","expression":"-((⪎⋱⫍666⋝⋈⪟⪎⋱⫍10AB)⨟⋌⩍(≦∁⪎⋱⫍1676)∸)","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":183,"operation_count":5,"complexity_ratio":36.6,"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":1098,"base":13},"right_expr":{"type":"numeric_atoms","value":2338,"base":13}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":3308,"base":13}}}}},"used_operators":["t8gj7n24qd","o20kRiQErp","rGHVDoGpnC","2DDjHMKMc0","9ICcGScMcE"],"dependent_operators":["tmPS8pqC7x","Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"⪎⋱⫍-108","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1098","layer":4},{"info":"number node, value=2338","layer":4},{"info":"compute binary expreesion, left_input=1098, right_input=2338, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1098","layer":3},{"info":"number node, value=3308","layer":4},{"info":"compute unary expreesion, input=3308, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=3308","layer":3},{"info":"compute binary expreesion, left_input=1098, right_input=3308, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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 = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":1},{"info":"compute unary expreesion, input=177, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-177","layer":0}],"base":13,"result_base":13,"text":"-((⪎⋱⫍666⋝⋈⪟⪎⋱⫍10AB)⨟⋌⩍(≦∁⪎⋱⫍1676)∸)=⪎⋱⫍-108","reverse_text":"⪎⋱⫍-108=-((⪎⋱⫍666⋝⋈⪟⪎⋱⫍10AB)⨟⋌⩍(≦∁⪎⋱⫍1676)∸)","cot":[{"info":"⪎⋱⫍666⋝⋈⪟⪎⋱⫍10AB=⪎⋱⫍666","layer":3},{"info":"≦∁⪎⋱⫍1676=⪎⋱⫍1676","layer":3},{"info":"⪎⋱⫍666⨟⋌⩍⪎⋱⫍1676=NaN","layer":2},{"info":"NaN∸=⪎⋱⫍108","layer":1},{"info":"-⪎⋱⫍108=⪎⋱⫍-108","layer":0}]}
{"id":490,"expression_no_base_symbol":"((⩦⩻⨪$1350$)⨵⪆$5480$⩨$5957$)⨽($1954$≧⫂∧$1226$⨳⩥⨓($3539$↙$3437$))⪒(⪝⪂⫅($3489$↬$1228$)⊴(⨞⊢$2150$))","expression":"((⩦⩻⨪⪎⋱⫍7CB)⨵⪆⪎⋱⫍2657⩨⪎⋱⫍2933)⨽(⪎⋱⫍B74≧⫂∧⪎⋱⫍734⨳⩥⨓(⪎⋱⫍17C3↙⪎⋱⫍1745))⪒(⪝⪂⫅(⪎⋱⫍1785↬⪎⋱⫍736)⊴(⨞⊢⪎⋱⫍C95))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":5961,"operation_count":12,"complexity_ratio":496.75,"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":1350,"base":13}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":5480,"base":13},"right_expr":{"type":"numeric_atoms","value":5957,"base":13}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1954,"base":13},"right_expr":{"type":"numeric_atoms","value":1226,"base":13}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":3539,"base":13},"right_expr":{"type":"numeric_atoms","value":3437,"base":13}}}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":3489,"base":13},"right_expr":{"type":"numeric_atoms","value":1228,"base":13}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":2150,"base":13}}}}},"used_operators":["f6k1SAg4EE","8HhzD0ZcuI","2DQ55sFlQl","2td37pGCOC","2DlMacCsIx","nCS4ZIUYfx","Ph9nP6C5qx","yyfyN0ffXY","XTarYq4gQB","Nsiff2A1zJ","B5M0gjZbta","xUOZtlo3hN"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","9HNa5Wba9A","8w2t5hMYqp","dWAJyo7jo9","14qkJME0vr","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1350","layer":4},{"info":"compute unary expreesion, input=1350, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1350","layer":3},{"info":"number node, value=5480","layer":4},{"info":"number node, value=5957","layer":4},{"info":"compute binary expreesion, left_input=5480, right_input=5957, 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=1350, right_input=-3, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=1954","layer":4},{"info":"number node, value=1226","layer":4},{"info":"compute binary expreesion, left_input=1954, right_input=1226, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=753","layer":3},{"info":"number node, value=3539","layer":4},{"info":"number node, value=3437","layer":4},{"info":"compute binary expreesion, left_input=3539, right_input=3437, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-10311","layer":3},{"info":"compute binary expreesion, left_input=753, right_input=-10311, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-11064","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=-11064, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-42294","layer":1},{"info":"number node, value=3489","layer":4},{"info":"number node, value=1228","layer":4},{"info":"compute binary expreesion, left_input=3489, right_input=1228, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=2150","layer":4},{"info":"compute unary expreesion, input=2150, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-2324","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-2324, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-42294, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⩦⩻⨪⪎⋱⫍7CB)⨵⪆⪎⋱⫍2657⩨⪎⋱⫍2933)⨽(⪎⋱⫍B74≧⫂∧⪎⋱⫍734⨳⩥⨓(⪎⋱⫍17C3↙⪎⋱⫍1745))⪒(⪝⪂⫅(⪎⋱⫍1785↬⪎⋱⫍736)⊴(⨞⊢⪎⋱⫍C95))=NaN","reverse_text":"NaN=((⩦⩻⨪⪎⋱⫍7CB)⨵⪆⪎⋱⫍2657⩨⪎⋱⫍2933)⨽(⪎⋱⫍B74≧⫂∧⪎⋱⫍734⨳⩥⨓(⪎⋱⫍17C3↙⪎⋱⫍1745))⪒(⪝⪂⫅(⪎⋱⫍1785↬⪎⋱⫍736)⊴(⨞⊢⪎⋱⫍C95))","cot":[{"info":"⩦⩻⨪⪎⋱⫍7CB=⪎⋱⫍7CB","layer":3},{"info":"⪎⋱⫍2657⩨⪎⋱⫍2933=⪎⋱⫍-3","layer":3},{"info":"⪎⋱⫍7CB⨵⪆⪎⋱⫍-3=⪎⋱⫍C4","layer":2},{"info":"⪎⋱⫍B74≧⫂∧⪎⋱⫍734=⪎⋱⫍45C","layer":3},{"info":"⪎⋱⫍17C3↙⪎⋱⫍1745=⪎⋱⫍-4902","layer":3},{"info":"⪎⋱⫍45C⨳⩥⨓⪎⋱⫍-4902=⪎⋱⫍-5061","layer":2},{"info":"⪎⋱⫍C4⨽⪎⋱⫍-5061=⪎⋱⫍-16335","layer":1},{"info":"⪎⋱⫍1785↬⪎⋱⫍736=NaN","layer":3},{"info":"⨞⊢⪎⋱⫍C95=⪎⋱⫍-109A","layer":3},{"info":"NaN⊴⪎⋱⫍-109A=NaN","layer":2},{"info":"⪝⪂⫅NaN=NaN","layer":1},{"info":"⪎⋱⫍-16335⪒NaN=NaN","layer":0}]}
{"id":491,"expression_no_base_symbol":"(⊙↵-(($3949$⫸⊐$1099$)≭($5144$⫸⊐$1298$)))↺($2600$⇷$1998$⨵⪆$6584$⇼⇔∾$3450$)∑⇟⊟($4214$⨰$2056$)≹⇙⪍($3184$+⇶⊼$5073$)","expression":"(⊙↵-((⪎⋱⫍1A4A⫸⊐⪎⋱⫍667)≭(⪎⋱⫍2459⫸⊐⪎⋱⫍78B)))↺(⪎⋱⫍1250⇷⪎⋱⫍BA9⨵⪆⪎⋱⫍2CC6⇼⇔∾⪎⋱⫍1755)∑⇟⊟(⪎⋱⫍1BC2⨰⪎⋱⫍C22)≹⇙⪍(⪎⋱⫍15AC+⇶⊼⪎⋱⫍2403)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":36496,"operation_count":12,"complexity_ratio":3041.3333333333335,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":3949,"base":13},"right_expr":{"type":"numeric_atoms","value":1099,"base":13}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":5144,"base":13},"right_expr":{"type":"numeric_atoms","value":1298,"base":13}}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2600,"base":13},"right_expr":{"type":"numeric_atoms","value":1998,"base":13}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":6584,"base":13},"right_expr":{"type":"numeric_atoms","value":3450,"base":13}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":4214,"base":13},"right_expr":{"type":"numeric_atoms","value":2056,"base":13}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":3184,"base":13},"right_expr":{"type":"numeric_atoms","value":5073,"base":13}}}}},"used_operators":["7j4O788W3g","oWn0xqSxBt","rxpJgHHUmx","mqXw5SEYmG","U7g4x0WXJJ","2DQ55sFlQl","mp7IySMOzn","tifHPKVTfV","AHs5Up7iyr","eewbuw0ToL","TpPTUOHfaN"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","AHs5Up7iyr","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3949","layer":4},{"info":"number node, value=1099","layer":4},{"info":"compute binary expreesion, left_input=3949, right_input=1099, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=4271","layer":3},{"info":"number node, value=5144","layer":4},{"info":"number node, value=1298","layer":4},{"info":"compute binary expreesion, left_input=5144, right_input=1298, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=5067","layer":3},{"info":"compute binary expreesion, left_input=4271, right_input=5067, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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 = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=nan","layer":1},{"info":"number node, value=2600","layer":4},{"info":"number node, value=1998","layer":4},{"info":"compute binary expreesion, left_input=2600, right_input=1998, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3996","layer":3},{"info":"number node, value=6584","layer":4},{"info":"number node, value=3450","layer":4},{"info":"compute binary expreesion, left_input=6584, right_input=3450, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-3134","layer":3},{"info":"compute binary expreesion, left_input=3996, 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=4214","layer":4},{"info":"number node, value=2056","layer":4},{"info":"compute binary expreesion, left_input=4214, right_input=2056, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=2168","layer":3},{"info":"number node, value=3184","layer":4},{"info":"number node, value=5073","layer":4},{"info":"compute binary expreesion, left_input=3184, right_input=5073, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=2168, 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=160, 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 = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⊙↵-((⪎⋱⫍1A4A⫸⊐⪎⋱⫍667)≭(⪎⋱⫍2459⫸⊐⪎⋱⫍78B)))↺(⪎⋱⫍1250⇷⪎⋱⫍BA9⨵⪆⪎⋱⫍2CC6⇼⇔∾⪎⋱⫍1755)∑⇟⊟(⪎⋱⫍1BC2⨰⪎⋱⫍C22)≹⇙⪍(⪎⋱⫍15AC+⇶⊼⪎⋱⫍2403)=NaN","reverse_text":"NaN=(⊙↵-((⪎⋱⫍1A4A⫸⊐⪎⋱⫍667)≭(⪎⋱⫍2459⫸⊐⪎⋱⫍78B)))↺(⪎⋱⫍1250⇷⪎⋱⫍BA9⨵⪆⪎⋱⫍2CC6⇼⇔∾⪎⋱⫍1755)∑⇟⊟(⪎⋱⫍1BC2⨰⪎⋱⫍C22)≹⇙⪍(⪎⋱⫍15AC+⇶⊼⪎⋱⫍2403)","cot":[{"info":"⪎⋱⫍1A4A⫸⊐⪎⋱⫍667=⪎⋱⫍1C37","layer":3},{"info":"⪎⋱⫍2459⫸⊐⪎⋱⫍78B=⪎⋱⫍23CA","layer":3},{"info":"⪎⋱⫍1C37≭⪎⋱⫍23CA=NaN","layer":2},{"info":"⊙↵-NaN=NaN","layer":1},{"info":"⪎⋱⫍1250⇷⪎⋱⫍BA9=⪎⋱⫍1A85","layer":3},{"info":"⪎⋱⫍2CC6⇼⇔∾⪎⋱⫍1755=⪎⋱⫍-1571","layer":3},{"info":"⪎⋱⫍1A85⨵⪆⪎⋱⫍-1571=⪎⋱⫍C4","layer":2},{"info":"⪎⋱⫍1BC2⨰⪎⋱⫍C22=⪎⋱⫍CAA","layer":3},{"info":"⪎⋱⫍15AC+⇶⊼⪎⋱⫍2403=NaN","layer":3},{"info":"⪎⋱⫍CAA≹⇙⪍NaN=NaN","layer":2},{"info":"⪎⋱⫍C4∑⇟⊟NaN=NaN","layer":1},{"info":"NaN↺NaN=NaN","layer":0}]}
{"id":492,"expression_no_base_symbol":"((($2645$⋳⪒$2104$)+⇶⊼(∥⊫$5968$))∀⇚≩(($4627$/$1919$)≦≮≮))⩠","expression":"(((⪎⋱⫍1286⋳⪒⪎⋱⫍C5B)+⇶⊼(∥⊫⪎⋱⫍2941))∀⇚≩((⪎⋱⫍214C/⪎⋱⫍B48)≦≮≮))⩠","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":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2645,"base":13},"right_expr":{"type":"numeric_atoms","value":2104,"base":13}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":5968,"base":13}}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":4627,"base":13},"right_expr":{"type":"numeric_atoms","value":1919,"base":13}}}}},"used_operators":["sJAwomhLZr","LRNGc0VcxI","TpPTUOHfaN","12rbrZMWeM","P8v4zCKN1o","D4vGDi5EA2","XhwjNDsVaA"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","X99M06cbEe","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2645","layer":4},{"info":"number node, value=2104","layer":4},{"info":"compute binary expreesion, left_input=2645, right_input=2104, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=2899","layer":3},{"info":"number node, value=5968","layer":4},{"info":"compute unary expreesion, input=5968, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=6836","layer":3},{"info":"compute binary expreesion, left_input=2899, right_input=6836, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=4627","layer":4},{"info":"number node, value=1919","layer":4},{"info":"compute binary expreesion, left_input=4627, right_input=1919, op_id = XhwjNDsVaA binary_op_definition= 'None', output=2","layer":3},{"info":"compute unary expreesion, input=2, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-6","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-6, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":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":13,"result_base":13,"text":"(((⪎⋱⫍1286⋳⪒⪎⋱⫍C5B)+⇶⊼(∥⊫⪎⋱⫍2941))∀⇚≩((⪎⋱⫍214C/⪎⋱⫍B48)≦≮≮))⩠=NaN","reverse_text":"NaN=(((⪎⋱⫍1286⋳⪒⪎⋱⫍C5B)+⇶⊼(∥⊫⪎⋱⫍2941))∀⇚≩((⪎⋱⫍214C/⪎⋱⫍B48)≦≮≮))⩠","cot":[{"info":"⪎⋱⫍1286⋳⪒⪎⋱⫍C5B=⪎⋱⫍1420","layer":3},{"info":"∥⊫⪎⋱⫍2941=⪎⋱⫍315B","layer":3},{"info":"⪎⋱⫍1420+⇶⊼⪎⋱⫍315B=NaN","layer":2},{"info":"⪎⋱⫍214C/⪎⋱⫍B48=⪎⋱⫍2","layer":3},{"info":"⪎⋱⫍2≦≮≮=⪎⋱⫍-6","layer":2},{"info":"NaN∀⇚≩⪎⋱⫍-6=NaN","layer":1},{"info":"NaN⩠=NaN","layer":0}]}
{"id":493,"expression_no_base_symbol":"(↥($5576$⊉≛↸$1050$)∼($8780$⋓$2410$))+⇶⊼(($5576$⪄$3056$)⋝⋈⪟($1227$↛⩡⫤)↺($6288$+$3865$)⪛($6775$∑⇟⊟$1212$))","expression":"(↥(⪎⋱⫍26CC⊉≛↸⪎⋱⫍62A)∼(⪎⋱⫍3CC5⋓⪎⋱⫍1135))+⇶⊼((⪎⋱⫍26CC⪄⪎⋱⫍1511)⋝⋈⪟(⪎⋱⫍735↛⩡⫤)↺(⪎⋱⫍2B29+⪎⋱⫍19B4)⪛(⪎⋱⫍3112∑⇟⊟⪎⋱⫍723))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":4177,"operation_count":12,"complexity_ratio":348.0833333333333,"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":5576,"base":13},"right_expr":{"type":"numeric_atoms","value":1050,"base":13}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":8780,"base":13},"right_expr":{"type":"numeric_atoms","value":2410,"base":13}}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":5576,"base":13},"right_expr":{"type":"numeric_atoms","value":3056,"base":13}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":1227,"base":13}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":6288,"base":13},"right_expr":{"type":"numeric_atoms","value":3865,"base":13}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":6775,"base":13},"right_expr":{"type":"numeric_atoms","value":1212,"base":13}}}}},"used_operators":["TpPTUOHfaN","A8NUZmVepG","DyGG3AbaNP","DZ8iAZOCBD","T2fj7uvVaJ","7j4O788W3g","2DDjHMKMc0","SUmda5xLS4","FU0Cs4j7VP","uFcxV4UQCh","W4YGzv6Whe","U7g4x0WXJJ"],"dependent_operators":["AHs5Up7iyr","k8jYdgA6NY","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5576","layer":4},{"info":"number node, value=1050","layer":4},{"info":"compute binary expreesion, left_input=5576, right_input=1050, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=11152","layer":3},{"info":"number node, value=8780","layer":4},{"info":"number node, value=2410","layer":4},{"info":"compute binary expreesion, left_input=8780, right_input=2410, op_id = T2fj7uvVaJ binary_op_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=11152, 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 = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=20","layer":1},{"info":"number node, value=5576","layer":4},{"info":"number node, value=3056","layer":4},{"info":"compute binary expreesion, left_input=5576, right_input=3056, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-833561","layer":3},{"info":"number node, value=1227","layer":4},{"info":"compute unary expreesion, input=1227, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-181366","layer":3},{"info":"compute binary expreesion, left_input=-833561, right_input=-181366, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-833561","layer":2},{"info":"number node, value=6288","layer":4},{"info":"number node, value=3865","layer":4},{"info":"compute binary expreesion, left_input=6288, right_input=3865, op_id = W4YGzv6Whe binary_op_definition= 'None', output=10153","layer":3},{"info":"number node, value=6775","layer":4},{"info":"number node, value=1212","layer":4},{"info":"compute binary expreesion, left_input=6775, right_input=1212, 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=10153, 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=-833561, 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=20, 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":13,"result_base":13,"text":"(↥(⪎⋱⫍26CC⊉≛↸⪎⋱⫍62A)∼(⪎⋱⫍3CC5⋓⪎⋱⫍1135))+⇶⊼((⪎⋱⫍26CC⪄⪎⋱⫍1511)⋝⋈⪟(⪎⋱⫍735↛⩡⫤)↺(⪎⋱⫍2B29+⪎⋱⫍19B4)⪛(⪎⋱⫍3112∑⇟⊟⪎⋱⫍723))=NaN","reverse_text":"NaN=(↥(⪎⋱⫍26CC⊉≛↸⪎⋱⫍62A)∼(⪎⋱⫍3CC5⋓⪎⋱⫍1135))+⇶⊼((⪎⋱⫍26CC⪄⪎⋱⫍1511)⋝⋈⪟(⪎⋱⫍735↛⩡⫤)↺(⪎⋱⫍2B29+⪎⋱⫍19B4)⪛(⪎⋱⫍3112∑⇟⊟⪎⋱⫍723))","cot":[{"info":"⪎⋱⫍26CC⊉≛↸⪎⋱⫍62A=⪎⋱⫍50CB","layer":3},{"info":"⪎⋱⫍3CC5⋓⪎⋱⫍1135=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍50CB∼⪎⋱⫍0=⪎⋱⫍17","layer":2},{"info":"↥⪎⋱⫍17=⪎⋱⫍17","layer":1},{"info":"⪎⋱⫍26CC⪄⪎⋱⫍1511=⪎⋱⫍-232541","layer":3},{"info":"⪎⋱⫍735↛⩡⫤=⪎⋱⫍-64723","layer":3},{"info":"⪎⋱⫍-232541⋝⋈⪟⪎⋱⫍-64723=⪎⋱⫍-232541","layer":2},{"info":"⪎⋱⫍2B29+⪎⋱⫍19B4=⪎⋱⫍4810","layer":3},{"info":"⪎⋱⫍3112∑⇟⊟⪎⋱⫍723=NaN","layer":3},{"info":"⪎⋱⫍4810⪛NaN=NaN","layer":2},{"info":"⪎⋱⫍-232541↺NaN=NaN","layer":1},{"info":"⪎⋱⫍17+⇶⊼NaN=NaN","layer":0}]}
{"id":494,"expression_no_base_symbol":"((⨞⊢$2557$)%$1167$⋥≓≎$3529$)⨪↰⇹($1132$⪄$4562$⫡⨏$4209$⋓$1012$)⪨≂($6274$↙$4227$⇼⇔∾(≤/$2104$))⪮%⊝(⨑⩽⪐($1290$≣⋋))","expression":"((⨞⊢⪎⋱⫍1219)%⪎⋱⫍6BA⋥≓≎⪎⋱⫍17B6)⨪↰⇹(⪎⋱⫍691⪄⪎⋱⫍20CC⫡⨏⪎⋱⫍1BBA⋓⪎⋱⫍5CB)⪨≂(⪎⋱⫍2B18↙⪎⋱⫍1C02⇼⇔∾(≤/⪎⋱⫍C5B))⪮%⊝(⨑⩽⪐(⪎⋱⫍783≣⋋))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":8083,"operation_count":14,"complexity_ratio":577.3571428571429,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":2557,"base":13}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1167,"base":13},"right_expr":{"type":"numeric_atoms","value":3529,"base":13}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1132,"base":13},"right_expr":{"type":"numeric_atoms","value":4562,"base":13}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":4209,"base":13},"right_expr":{"type":"numeric_atoms","value":1012,"base":13}}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":6274,"base":13},"right_expr":{"type":"numeric_atoms","value":4227,"base":13}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":2104,"base":13}}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":1290,"base":13}}}}},"used_operators":["sdazOOVcIp","tmPS8pqC7x","k8jYdgA6NY","xUOZtlo3hN","Qy55tPpLXF","QMFrweE19q","SUmda5xLS4","T2fj7uvVaJ","IWmyXbctLI","tifHPKVTfV","yyfyN0ffXY","eLAdDNolq6","AF7qkfDlqP","Tcnh7f0tEr"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A"],"result":"⪎⋱⫍-1461C","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2557","layer":4},{"info":"compute unary expreesion, input=2557, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-2731","layer":3},{"info":"number node, value=1167","layer":4},{"info":"number node, value=3529","layer":4},{"info":"compute binary expreesion, left_input=1167, right_input=3529, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=5924","layer":3},{"info":"compute binary expreesion, left_input=-2731, right_input=5924, op_id = k8jYdgA6NY binary_op_definition= 'None', output=3193","layer":2},{"info":"number node, value=1132","layer":4},{"info":"number node, value=4562","layer":4},{"info":"compute binary expreesion, left_input=1132, right_input=4562, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-181873","layer":3},{"info":"number node, value=4209","layer":4},{"info":"number node, value=1012","layer":4},{"info":"compute binary expreesion, left_input=4209, right_input=1012, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-181873, 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=-908582","layer":2},{"info":"compute binary expreesion, left_input=3193, right_input=-908582, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=3193","layer":1},{"info":"number node, value=6274","layer":4},{"info":"number node, value=4227","layer":4},{"info":"compute binary expreesion, left_input=6274, right_input=4227, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-12681","layer":3},{"info":"number node, value=2104","layer":4},{"info":"compute unary expreesion, input=2104, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1620","layer":3},{"info":"compute binary expreesion, left_input=-12681, right_input=-1620, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=11061","layer":2},{"info":"number node, value=1290","layer":4},{"info":"compute unary expreesion, input=1290, 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 = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=789","layer":2},{"info":"compute binary expreesion, left_input=11061, right_input=789, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=22438","layer":1},{"info":"compute binary expreesion, left_input=3193, right_input=22438, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-38388","layer":0}],"base":13,"result_base":13,"text":"((⨞⊢⪎⋱⫍1219)%⪎⋱⫍6BA⋥≓≎⪎⋱⫍17B6)⨪↰⇹(⪎⋱⫍691⪄⪎⋱⫍20CC⫡⨏⪎⋱⫍1BBA⋓⪎⋱⫍5CB)⪨≂(⪎⋱⫍2B18↙⪎⋱⫍1C02⇼⇔∾(≤/⪎⋱⫍C5B))⪮%⊝(⨑⩽⪐(⪎⋱⫍783≣⋋))=⪎⋱⫍-1461C","reverse_text":"⪎⋱⫍-1461C=((⨞⊢⪎⋱⫍1219)%⪎⋱⫍6BA⋥≓≎⪎⋱⫍17B6)⨪↰⇹(⪎⋱⫍691⪄⪎⋱⫍20CC⫡⨏⪎⋱⫍1BBA⋓⪎⋱⫍5CB)⪨≂(⪎⋱⫍2B18↙⪎⋱⫍1C02⇼⇔∾(≤/⪎⋱⫍C5B))⪮%⊝(⨑⩽⪐(⪎⋱⫍783≣⋋))","cot":[{"info":"⨞⊢⪎⋱⫍1219=⪎⋱⫍-1321","layer":3},{"info":"⪎⋱⫍6BA⋥≓≎⪎⋱⫍17B6=⪎⋱⫍2909","layer":3},{"info":"⪎⋱⫍-1321%⪎⋱⫍2909=⪎⋱⫍15B8","layer":2},{"info":"⪎⋱⫍691⪄⪎⋱⫍20CC=⪎⋱⫍-64A23","layer":3},{"info":"⪎⋱⫍1BBA⋓⪎⋱⫍5CB=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍-64A23⫡⨏⪎⋱⫍0=⪎⋱⫍-25A72C","layer":2},{"info":"⪎⋱⫍15B8⨪↰⇹⪎⋱⫍-25A72C=⪎⋱⫍15B8","layer":1},{"info":"⪎⋱⫍2B18↙⪎⋱⫍1C02=⪎⋱⫍-5A06","layer":3},{"info":"≤/⪎⋱⫍C5B=⪎⋱⫍-978","layer":3},{"info":"⪎⋱⫍-5A06⇼⇔∾⪎⋱⫍-978=⪎⋱⫍505B","layer":2},{"info":"⪎⋱⫍783≣⋋=⪎⋱⫍0","layer":3},{"info":"⨑⩽⪐⪎⋱⫍0=⪎⋱⫍489","layer":2},{"info":"⪎⋱⫍505B⪮%⊝⪎⋱⫍489=⪎⋱⫍A2A0","layer":1},{"info":"⪎⋱⫍15B8⪨≂⪎⋱⫍A2A0=⪎⋱⫍-1461C","layer":0}]}
{"id":495,"expression_no_base_symbol":"(($1786$⩷∴$7565$)⪛(-$1204$)%$5263$∼$2304$∀⇚≩(∂$1228$))∑⇟⊟(($3772$⩨$9288$)↙($2173$%$4786$)*($9092$⪄$1605$)↺($5175$⫸⊐$2747$))","expression":"((⪎⋱⫍A75⩷∴⪎⋱⫍359C)⪛(-⪎⋱⫍718)%⪎⋱⫍251B∼⪎⋱⫍1083∀⇚≩(∂⪎⋱⫍736))∑⇟⊟((⪎⋱⫍1942⩨⪎⋱⫍42C6)↙(⪎⋱⫍CB2%⪎⋱⫍2242)*(⪎⋱⫍41A5⪄⪎⋱⫍966)↺(⪎⋱⫍2481⫸⊐⪎⋱⫍1334))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":262,"operation_count":15,"complexity_ratio":17.466666666666665,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1786,"base":13},"right_expr":{"type":"numeric_atoms","value":7565,"base":13}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1204,"base":13}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":5263,"base":13},"right_expr":{"type":"numeric_atoms","value":2304,"base":13}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":1228,"base":13}}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":3772,"base":13},"right_expr":{"type":"numeric_atoms","value":9288,"base":13}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2173,"base":13},"right_expr":{"type":"numeric_atoms","value":4786,"base":13}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":9092,"base":13},"right_expr":{"type":"numeric_atoms","value":1605,"base":13}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":5175,"base":13},"right_expr":{"type":"numeric_atoms","value":2747,"base":13}}}}},"used_operators":["U7g4x0WXJJ","k8jYdgA6NY","uFcxV4UQCh","9FxExcQeMw","t8gj7n24qd","LRNGc0VcxI","DyGG3AbaNP","Uaa54Peajs","9HNa5Wba9A","yyfyN0ffXY","2DlMacCsIx","7j4O788W3g","SUmda5xLS4","mqXw5SEYmG"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","X99M06cbEe","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","tmPS8pqC7x","DpFCA1CohY","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1786","layer":4},{"info":"number node, value=7565","layer":4},{"info":"compute binary expreesion, left_input=1786, right_input=7565, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-11590","layer":3},{"info":"number node, value=1204","layer":4},{"info":"compute unary expreesion, input=1204, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1204","layer":3},{"info":"compute binary expreesion, left_input=-11590, right_input=-1204, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=-754","layer":2},{"info":"number node, value=5263","layer":4},{"info":"number node, value=2304","layer":4},{"info":"compute binary expreesion, left_input=5263, right_input=2304, 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":"compute unary expreesion, input=1228, 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 = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=-754, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=3772","layer":4},{"info":"number node, value=9288","layer":4},{"info":"compute binary expreesion, left_input=3772, right_input=9288, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-6","layer":3},{"info":"number node, value=2173","layer":4},{"info":"number node, value=4786","layer":4},{"info":"compute binary expreesion, left_input=2173, right_input=4786, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2173","layer":3},{"info":"compute binary expreesion, left_input=-6, right_input=2173, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-6","layer":2},{"info":"number node, value=9092","layer":4},{"info":"number node, value=1605","layer":4},{"info":"compute binary expreesion, left_input=9092, right_input=1605, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-1348125","layer":3},{"info":"number node, value=5175","layer":4},{"info":"number node, value=2747","layer":4},{"info":"compute binary expreesion, left_input=5175, right_input=2747, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=10863","layer":3},{"info":"compute binary expreesion, left_input=-1348125, right_input=10863, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=10863","layer":2},{"info":"compute binary expreesion, left_input=-6, right_input=10863, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-65178","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-65178, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍A75⩷∴⪎⋱⫍359C)⪛(-⪎⋱⫍718)%⪎⋱⫍251B∼⪎⋱⫍1083∀⇚≩(∂⪎⋱⫍736))∑⇟⊟((⪎⋱⫍1942⩨⪎⋱⫍42C6)↙(⪎⋱⫍CB2%⪎⋱⫍2242)*(⪎⋱⫍41A5⪄⪎⋱⫍966)↺(⪎⋱⫍2481⫸⊐⪎⋱⫍1334))=NaN","reverse_text":"NaN=((⪎⋱⫍A75⩷∴⪎⋱⫍359C)⪛(-⪎⋱⫍718)%⪎⋱⫍251B∼⪎⋱⫍1083∀⇚≩(∂⪎⋱⫍736))∑⇟⊟((⪎⋱⫍1942⩨⪎⋱⫍42C6)↙(⪎⋱⫍CB2%⪎⋱⫍2242)*(⪎⋱⫍41A5⪄⪎⋱⫍966)↺(⪎⋱⫍2481⫸⊐⪎⋱⫍1334))","cot":[{"info":"⪎⋱⫍A75⩷∴⪎⋱⫍359C=⪎⋱⫍-5377","layer":3},{"info":"-⪎⋱⫍718=⪎⋱⫍-718","layer":3},{"info":"⪎⋱⫍-5377⪛⪎⋱⫍-718=⪎⋱⫍-460","layer":2},{"info":"⪎⋱⫍251B∼⪎⋱⫍1083=NaN","layer":3},{"info":"∂⪎⋱⫍736=NaN","layer":3},{"info":"NaN∀⇚≩NaN=NaN","layer":2},{"info":"⪎⋱⫍-460%NaN=NaN","layer":1},{"info":"⪎⋱⫍1942⩨⪎⋱⫍42C6=⪎⋱⫍-6","layer":3},{"info":"⪎⋱⫍CB2%⪎⋱⫍2242=⪎⋱⫍CB2","layer":3},{"info":"⪎⋱⫍-6↙⪎⋱⫍CB2=⪎⋱⫍-6","layer":2},{"info":"⪎⋱⫍41A5⪄⪎⋱⫍966=⪎⋱⫍-38280C","layer":3},{"info":"⪎⋱⫍2481⫸⊐⪎⋱⫍1334=⪎⋱⫍4C38","layer":3},{"info":"⪎⋱⫍-38280C↺⪎⋱⫍4C38=⪎⋱⫍4C38","layer":2},{"info":"⪎⋱⫍-6*⪎⋱⫍4C38=⪎⋱⫍-23889","layer":1},{"info":"NaN∑⇟⊟⪎⋱⫍-23889=NaN","layer":0}]}
{"id":496,"expression_no_base_symbol":"(↔(($1794$⪒$2307$)-$3454$⪘⫢$7219$))⪘⫢(⫓⪴((∂$4199$)⋥≓≎$1662$⪮%⊝$1899$))","expression":"(↔((⪎⋱⫍A80⪒⪎⋱⫍1086)-⪎⋱⫍1759⪘⫢⪎⋱⫍3394))⪘⫢(⫓⪴((∂⪎⋱⫍1BB0)⋥≓≎⪎⋱⫍9AB⪮%⊝⪎⋱⫍B31))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":138,"operation_count":9,"complexity_ratio":15.333333333333334,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1794,"base":13},"right_expr":{"type":"numeric_atoms","value":2307,"base":13}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":3454,"base":13},"right_expr":{"type":"numeric_atoms","value":7219,"base":13}}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":4199,"base":13}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1662,"base":13},"right_expr":{"type":"numeric_atoms","value":1899,"base":13}}}}},"used_operators":["oacrs7FA3X","ruOEQAzv1W","rysDP5nf3Z","f6k1SAg4EE","eLxqMNBOBk","Qy55tPpLXF","Uaa54Peajs","IWmyXbctLI"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"⪎⋱⫍-A02","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1794","layer":4},{"info":"number node, value=2307","layer":4},{"info":"compute binary expreesion, left_input=1794, right_input=2307, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4101","layer":3},{"info":"number node, value=3454","layer":4},{"info":"number node, value=7219","layer":4},{"info":"compute binary expreesion, left_input=3454, right_input=7219, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=6784","layer":3},{"info":"compute binary expreesion, left_input=-4101, right_input=6784, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-10885","layer":2},{"info":"compute unary expreesion, input=-10885, 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=4199","layer":4},{"info":"compute unary expreesion, input=4199, 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=1662","layer":4},{"info":"number node, value=1899","layer":4},{"info":"compute binary expreesion, left_input=1662, right_input=1899, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3640","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3640, 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 = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=4489","layer":1},{"info":"compute binary expreesion, left_input=-134, right_input=4489, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=-1692","layer":0}],"base":13,"result_base":13,"text":"(↔((⪎⋱⫍A80⪒⪎⋱⫍1086)-⪎⋱⫍1759⪘⫢⪎⋱⫍3394))⪘⫢(⫓⪴((∂⪎⋱⫍1BB0)⋥≓≎⪎⋱⫍9AB⪮%⊝⪎⋱⫍B31))=⪎⋱⫍-A02","reverse_text":"⪎⋱⫍-A02=(↔((⪎⋱⫍A80⪒⪎⋱⫍1086)-⪎⋱⫍1759⪘⫢⪎⋱⫍3394))⪘⫢(⫓⪴((∂⪎⋱⫍1BB0)⋥≓≎⪎⋱⫍9AB⪮%⊝⪎⋱⫍B31))","cot":[{"info":"⪎⋱⫍A80⪒⪎⋱⫍1086=⪎⋱⫍-1B36","layer":3},{"info":"⪎⋱⫍1759⪘⫢⪎⋱⫍3394=⪎⋱⫍311B","layer":3},{"info":"⪎⋱⫍-1B36-⪎⋱⫍311B=⪎⋱⫍-4C54","layer":2},{"info":"↔⪎⋱⫍-4C54=⪎⋱⫍-A4","layer":1},{"info":"∂⪎⋱⫍1BB0=NaN","layer":3},{"info":"⪎⋱⫍9AB⪮%⊝⪎⋱⫍B31=⪎⋱⫍1870","layer":3},{"info":"NaN⋥≓≎⪎⋱⫍1870=⪎⋱⫍52","layer":2},{"info":"⫓⪴⪎⋱⫍52=⪎⋱⫍2074","layer":1},{"info":"⪎⋱⫍-A4⪘⫢⪎⋱⫍2074=⪎⋱⫍-A02","layer":0}]}
{"id":497,"expression_no_base_symbol":"(($4366$⫸⊐$2072$)↬($1862$⨓$2187$)⫡⨏($1360$⫡⨏$1003$↪⪝))≧⫂∧(⩦⩻⨪($2063$∲⫓$3614$)⊴($2969$*$2591$))","expression":"((⪎⋱⫍1CAB⫸⊐⪎⋱⫍C35)↬(⪎⋱⫍B03⨓⪎⋱⫍CC3)⫡⨏(⪎⋱⫍808⫡⨏⪎⋱⫍5C2↪⪝))≧⫂∧(⩦⩻⨪(⪎⋱⫍C29∲⫓⪎⋱⫍1850)⊴(⪎⋱⫍1475*⪎⋱⫍1244))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":5536,"operation_count":11,"complexity_ratio":503.27272727272725,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":4366,"base":13},"right_expr":{"type":"numeric_atoms","value":2072,"base":13}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1862,"base":13},"right_expr":{"type":"numeric_atoms","value":2187,"base":13}}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1360,"base":13},"right_expr":{"type":"numeric_atoms","value":1003,"base":13}}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2063,"base":13},"right_expr":{"type":"numeric_atoms","value":3614,"base":13}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2969,"base":13},"right_expr":{"type":"numeric_atoms","value":2591,"base":13}}}}},"used_operators":["Ph9nP6C5qx","QMFrweE19q","B5M0gjZbta","mqXw5SEYmG","3ViojmjbAp","l07mrZUIn9","2td37pGCOC","Nsiff2A1zJ","i8ToyICDmI","9HNa5Wba9A"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","9HNa5Wba9A","2DDjHMKMc0","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4366","layer":4},{"info":"number node, value=2072","layer":4},{"info":"compute binary expreesion, left_input=4366, right_input=2072, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=8163","layer":3},{"info":"number node, value=1862","layer":4},{"info":"number node, value=2187","layer":4},{"info":"compute binary expreesion, left_input=1862, right_input=2187, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2190","layer":3},{"info":"compute binary expreesion, left_input=8163, right_input=-2190, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=1360","layer":4},{"info":"number node, value=1003","layer":4},{"info":"compute binary expreesion, left_input=1360, right_input=1003, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=9589","layer":3},{"info":"compute unary expreesion, input=9589, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=586674198","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=586674198, op_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=2063","layer":4},{"info":"number node, value=3614","layer":4},{"info":"compute binary expreesion, left_input=2063, right_input=3614, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=2969","layer":4},{"info":"number node, value=2591","layer":4},{"info":"compute binary expreesion, left_input=2969, right_input=2591, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=7692679","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=7692679, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢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":"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":13,"result_base":13,"text":"((⪎⋱⫍1CAB⫸⊐⪎⋱⫍C35)↬(⪎⋱⫍B03⨓⪎⋱⫍CC3)⫡⨏(⪎⋱⫍808⫡⨏⪎⋱⫍5C2↪⪝))≧⫂∧(⩦⩻⨪(⪎⋱⫍C29∲⫓⪎⋱⫍1850)⊴(⪎⋱⫍1475*⪎⋱⫍1244))=NaN","reverse_text":"NaN=((⪎⋱⫍1CAB⫸⊐⪎⋱⫍C35)↬(⪎⋱⫍B03⨓⪎⋱⫍CC3)⫡⨏(⪎⋱⫍808⫡⨏⪎⋱⫍5C2↪⪝))≧⫂∧(⩦⩻⨪(⪎⋱⫍C29∲⫓⪎⋱⫍1850)⊴(⪎⋱⫍1475*⪎⋱⫍1244))","cot":[{"info":"⪎⋱⫍1CAB⫸⊐⪎⋱⫍C35=⪎⋱⫍393C","layer":3},{"info":"⪎⋱⫍B03⨓⪎⋱⫍CC3=⪎⋱⫍-CC6","layer":3},{"info":"⪎⋱⫍393C↬⪎⋱⫍-CC6=NaN","layer":2},{"info":"⪎⋱⫍808⫡⨏⪎⋱⫍5C2=⪎⋱⫍4498","layer":3},{"info":"⪎⋱⫍4498↪⪝=⪎⋱⫍947112C6","layer":2},{"info":"NaN⫡⨏⪎⋱⫍947112C6=NaN","layer":1},{"info":"⪎⋱⫍C29∲⫓⪎⋱⫍1850=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍1475*⪎⋱⫍1244=⪎⋱⫍17945A7","layer":3},{"info":"⪎⋱⫍0⊴⪎⋱⫍17945A7=NaN","layer":2},{"info":"⩦⩻⨪NaN=NaN","layer":1},{"info":"NaN≧⫂∧NaN=NaN","layer":0}]}
{"id":498,"expression_no_base_symbol":"($6817$⋓$2068$⋝⋈⪟$2060$⪛$1055$)⪛($6961$⪮%⊝$1280$↺$1101$+⇶⊼$3792$)⩤","expression":"(⪎⋱⫍3145⋓⪎⋱⫍C31⋝⋈⪟⪎⋱⫍C26⪛⪎⋱⫍632)⪛(⪎⋱⫍3226⪮%⊝⪎⋱⫍776↺⪎⋱⫍669+⇶⊼⪎⋱⫍1959)⩤","highest_n_order":5,"priority_hierarchical_complexity":5,"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":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":6817,"base":13},"right_expr":{"type":"numeric_atoms","value":2068,"base":13}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2060,"base":13},"right_expr":{"type":"numeric_atoms","value":1055,"base":13}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":6961,"base":13},"right_expr":{"type":"numeric_atoms","value":1280,"base":13}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1101,"base":13},"right_expr":{"type":"numeric_atoms","value":3792,"base":13}}}}},"used_operators":["Z2TMIBDE3Q","uFcxV4UQCh","2DDjHMKMc0","T2fj7uvVaJ","7j4O788W3g","IWmyXbctLI","TpPTUOHfaN"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=6817","layer":4},{"info":"number node, value=2068","layer":4},{"info":"compute binary expreesion, left_input=6817, right_input=2068, op_id = T2fj7uvVaJ binary_op_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=2060","layer":4},{"info":"number node, value=1055","layer":4},{"info":"compute binary expreesion, left_input=2060, right_input=1055, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1005","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1005, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=0","layer":2},{"info":"number node, value=6961","layer":4},{"info":"number node, value=1280","layer":4},{"info":"compute binary expreesion, left_input=6961, right_input=1280, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=14238","layer":3},{"info":"number node, value=1101","layer":4},{"info":"number node, value=3792","layer":4},{"info":"compute binary expreesion, left_input=1101, right_input=3792, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=14238, right_input=nan, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 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 = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍3145⋓⪎⋱⫍C31⋝⋈⪟⪎⋱⫍C26⪛⪎⋱⫍632)⪛(⪎⋱⫍3226⪮%⊝⪎⋱⫍776↺⪎⋱⫍669+⇶⊼⪎⋱⫍1959)⩤=NaN","reverse_text":"NaN=(⪎⋱⫍3145⋓⪎⋱⫍C31⋝⋈⪟⪎⋱⫍C26⪛⪎⋱⫍632)⪛(⪎⋱⫍3226⪮%⊝⪎⋱⫍776↺⪎⋱⫍669+⇶⊼⪎⋱⫍1959)⩤","cot":[{"info":"⪎⋱⫍3145⋓⪎⋱⫍C31=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍C26⪛⪎⋱⫍632=⪎⋱⫍5C4","layer":3},{"info":"⪎⋱⫍0⋝⋈⪟⪎⋱⫍5C4=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍3226⪮%⊝⪎⋱⫍776=⪎⋱⫍6633","layer":3},{"info":"⪎⋱⫍669+⇶⊼⪎⋱⫍1959=NaN","layer":3},{"info":"⪎⋱⫍6633↺NaN=NaN","layer":2},{"info":"⪎⋱⫍0⪛NaN=NaN","layer":1},{"info":"NaN⩤=NaN","layer":0}]}
{"id":499,"expression_no_base_symbol":"↩(⨈⫕(↣≠⋷($3526$+⇶⊼$2314$)))","expression":"↩(⨈⫕(↣≠⋷(⪎⋱⫍17B3+⇶⊼⪎⋱⫍1090)))","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":409,"operation_count":4,"complexity_ratio":102.25,"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":3526,"base":13},"right_expr":{"type":"numeric_atoms","value":2314,"base":13}}}}},"used_operators":["jLgFTUHLKL","megm06wKyl","Asc51vEJeQ","TpPTUOHfaN"],"dependent_operators":["sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","XhwjNDsVaA","AHs5Up7iyr","AHs5Up7iyr"],"result":"⪎⋱⫍2420","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3526","layer":4},{"info":"number node, value=2314","layer":4},{"info":"compute binary expreesion, left_input=3526, right_input=2314, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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":"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 = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=5096","layer":0}],"base":13,"result_base":13,"text":"↩(⨈⫕(↣≠⋷(⪎⋱⫍17B3+⇶⊼⪎⋱⫍1090)))=⪎⋱⫍2420","reverse_text":"⪎⋱⫍2420=↩(⨈⫕(↣≠⋷(⪎⋱⫍17B3+⇶⊼⪎⋱⫍1090)))","cot":[{"info":"⪎⋱⫍17B3+⇶⊼⪎⋱⫍1090=NaN","layer":3},{"info":"↣≠⋷NaN=NaN","layer":2},{"info":"⨈⫕NaN=⪎⋱⫍-18","layer":1},{"info":"↩⪎⋱⫍-18=⪎⋱⫍2420","layer":0}]}
{"id":500,"expression_no_base_symbol":"((≤/$5100$⨎$1107$)⪒$1552$⩷∴$4547$⋳⪒$1788$≧⫂∧$1946$)⨳⩥⨓(⊥($1721$⊴$1001$⨸⪁$1740$⩷∴$3322$))","expression":"((≤/⪎⋱⫍2424⨎⪎⋱⫍672)⪒⪎⋱⫍925⩷∴⪎⋱⫍20BA⋳⪒⪎⋱⫍A77≧⫂∧⪎⋱⫍B69)⨳⩥⨓(⊥(⪎⋱⫍A25⊴⪎⋱⫍5C0⨸⪁⪎⋱⫍A3B⩷∴⪎⋱⫍1687))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3441,"operation_count":11,"complexity_ratio":312.8181818181818,"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":5100,"base":13},"right_expr":{"type":"numeric_atoms","value":1107,"base":13}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1552,"base":13},"right_expr":{"type":"numeric_atoms","value":4547,"base":13}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1788,"base":13},"right_expr":{"type":"numeric_atoms","value":1946,"base":13}}}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1721,"base":13},"right_expr":{"type":"numeric_atoms","value":1001,"base":13}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1740,"base":13},"right_expr":{"type":"numeric_atoms","value":3322,"base":13}}}}},"used_operators":["nCS4ZIUYfx","f6k1SAg4EE","eLAdDNolq6","rJVOvQCfKK","12rbrZMWeM","9FxExcQeMw","Ph9nP6C5qx","Q3PJZHRvZv","g55IO6H4Gj","Nsiff2A1zJ"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","fu6greOZ01","W4YGzv6Whe","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5100","layer":4},{"info":"number node, value=1107","layer":4},{"info":"compute binary expreesion, left_input=5100, right_input=1107, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1107","layer":3},{"info":"compute unary expreesion, input=1107, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-623","layer":2},{"info":"number node, value=1552","layer":4},{"info":"number node, value=4547","layer":4},{"info":"compute binary expreesion, left_input=1552, right_input=4547, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-6022","layer":3},{"info":"number node, value=1788","layer":4},{"info":"number node, value=1946","layer":4},{"info":"compute binary expreesion, left_input=1788, right_input=1946, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1473","layer":3},{"info":"compute binary expreesion, left_input=-6022, right_input=1473, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-13804","layer":2},{"info":"compute binary expreesion, left_input=-623, right_input=-13804, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=14427","layer":1},{"info":"number node, value=1721","layer":4},{"info":"number node, value=1001","layer":4},{"info":"compute binary expreesion, left_input=1721, right_input=1001, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=1740","layer":4},{"info":"number node, value=3322","layer":4},{"info":"compute binary expreesion, left_input=1740, right_input=3322, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-3196","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3196, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=14427, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((≤/⪎⋱⫍2424⨎⪎⋱⫍672)⪒⪎⋱⫍925⩷∴⪎⋱⫍20BA⋳⪒⪎⋱⫍A77≧⫂∧⪎⋱⫍B69)⨳⩥⨓(⊥(⪎⋱⫍A25⊴⪎⋱⫍5C0⨸⪁⪎⋱⫍A3B⩷∴⪎⋱⫍1687))=NaN","reverse_text":"NaN=((≤/⪎⋱⫍2424⨎⪎⋱⫍672)⪒⪎⋱⫍925⩷∴⪎⋱⫍20BA⋳⪒⪎⋱⫍A77≧⫂∧⪎⋱⫍B69)⨳⩥⨓(⊥(⪎⋱⫍A25⊴⪎⋱⫍5C0⨸⪁⪎⋱⫍A3B⩷∴⪎⋱⫍1687))","cot":[{"info":"⪎⋱⫍2424⨎⪎⋱⫍672=⪎⋱⫍672","layer":3},{"info":"≤/⪎⋱⫍672=⪎⋱⫍-38C","layer":2},{"info":"⪎⋱⫍925⩷∴⪎⋱⫍20BA=⪎⋱⫍-2983","layer":3},{"info":"⪎⋱⫍A77≧⫂∧⪎⋱⫍B69=⪎⋱⫍894","layer":3},{"info":"⪎⋱⫍-2983⋳⪒⪎⋱⫍894=⪎⋱⫍-638B","layer":2},{"info":"⪎⋱⫍-38C⪒⪎⋱⫍-638B=⪎⋱⫍674A","layer":1},{"info":"⪎⋱⫍A25⊴⪎⋱⫍5C0=NaN","layer":3},{"info":"⪎⋱⫍A3B⩷∴⪎⋱⫍1687=⪎⋱⫍-15BB","layer":3},{"info":"NaN⨸⪁⪎⋱⫍-15BB=NaN","layer":2},{"info":"⊥NaN=NaN","layer":1},{"info":"⪎⋱⫍674A⨳⩥⨓NaN=NaN","layer":0}]}
{"id":501,"expression_no_base_symbol":"(((↽≂$2568$)⨵⪆(⨰⫟⨤$1410$))⊭∹↮)⨰((⨰⫟⨤$1077$)∼($1894$⋥≓≎$1564$)⨳⩥⨓(⇁⨣⪵$6027$)⨟⋌⩍(↣≠⋷$2054$))","expression":"(((↽≂⪎⋱⫍1227)⨵⪆(⨰⫟⨤⪎⋱⫍846))⊭∹↮)⨰((⨰⫟⨤⪎⋱⫍64B)∼(⪎⋱⫍B29⋥≓≎⪎⋱⫍934)⨳⩥⨓(⇁⨣⪵⪎⋱⫍2988)⨟⋌⩍(↣≠⋷⪎⋱⫍C20))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":8294,"operation_count":12,"complexity_ratio":691.1666666666666,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":2568,"base":13}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":1410,"base":13}}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":1077,"base":13}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1894,"base":13},"right_expr":{"type":"numeric_atoms","value":1564,"base":13}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":6027,"base":13}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":2054,"base":13}}}}},"used_operators":["eewbuw0ToL","xNBdhnnwKq","2DQ55sFlQl","u6S6b8DprG","Tw270M8GLb","nCS4ZIUYfx","DyGG3AbaNP","Qy55tPpLXF","rGHVDoGpnC","inkyxCbjAn","Asc51vEJeQ"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","W4YGzv6Whe","rysDP5nf3Z","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","B5M0gjZbta","XhwjNDsVaA","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2568","layer":4},{"info":"compute unary expreesion, input=2568, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-5136","layer":3},{"info":"number node, value=1410","layer":4},{"info":"compute unary expreesion, input=1410, 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=-5136, 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 = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=160","layer":1},{"info":"number node, value=1077","layer":4},{"info":"compute unary expreesion, input=1077, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=1894","layer":4},{"info":"number node, value=1564","layer":4},{"info":"compute binary expreesion, left_input=1894, right_input=1564, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=1267","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1267, 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=6027","layer":4},{"info":"compute unary expreesion, input=6027, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=2054","layer":4},{"info":"compute unary expreesion, input=2054, 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 = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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 = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(((↽≂⪎⋱⫍1227)⨵⪆(⨰⫟⨤⪎⋱⫍846))⊭∹↮)⨰((⨰⫟⨤⪎⋱⫍64B)∼(⪎⋱⫍B29⋥≓≎⪎⋱⫍934)⨳⩥⨓(⇁⨣⪵⪎⋱⫍2988)⨟⋌⩍(↣≠⋷⪎⋱⫍C20))=NaN","reverse_text":"NaN=(((↽≂⪎⋱⫍1227)⨵⪆(⨰⫟⨤⪎⋱⫍846))⊭∹↮)⨰((⨰⫟⨤⪎⋱⫍64B)∼(⪎⋱⫍B29⋥≓≎⪎⋱⫍934)⨳⩥⨓(⇁⨣⪵⪎⋱⫍2988)⨟⋌⩍(↣≠⋷⪎⋱⫍C20))","cot":[{"info":"↽≂⪎⋱⫍1227=⪎⋱⫍-2451","layer":3},{"info":"⨰⫟⨤⪎⋱⫍846=NaN","layer":3},{"info":"⪎⋱⫍-2451⨵⪆NaN=⪎⋱⫍C4","layer":2},{"info":"⪎⋱⫍C4⊭∹↮=⪎⋱⫍C4","layer":1},{"info":"⨰⫟⨤⪎⋱⫍64B=NaN","layer":3},{"info":"⪎⋱⫍B29⋥≓≎⪎⋱⫍934=⪎⋱⫍766","layer":3},{"info":"NaN∼⪎⋱⫍766=NaN","layer":2},{"info":"⇁⨣⪵⪎⋱⫍2988=NaN","layer":3},{"info":"↣≠⋷⪎⋱⫍C20=NaN","layer":3},{"info":"NaN⨟⋌⩍NaN=NaN","layer":2},{"info":"NaN⨳⩥⨓NaN=NaN","layer":1},{"info":"⪎⋱⫍C4⨰NaN=NaN","layer":0}]}
{"id":502,"expression_no_base_symbol":"(($2823$⪒$1683$)⊉≛↸$3702$∑⇟⊟$1612$⫡⨏$4398$⩨$1628$⩨$4536$+⇶⊼$6038$)⩚⊴⇥(↣≠⋷($3301$-$1745$))⋓(⩦⩻⨪$1523$⪛$5881$)","expression":"((⪎⋱⫍1392⪒⪎⋱⫍9C6)⊉≛↸⪎⋱⫍18BA∑⇟⊟⪎⋱⫍970⫡⨏⪎⋱⫍2004⩨⪎⋱⫍983⩨⪎⋱⫍20AC+⇶⊼⪎⋱⫍2996)⩚⊴⇥(↣≠⋷(⪎⋱⫍166C-⪎⋱⫍A43))⋓(⩦⩻⨪⪎⋱⫍902⪛⪎⋱⫍28A5)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":51,"operation_count":13,"complexity_ratio":3.923076923076923,"tree":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2823,"base":13},"right_expr":{"type":"numeric_atoms","value":1683,"base":13}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":3702,"base":13},"right_expr":{"type":"numeric_atoms","value":1612,"base":13}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":4398,"base":13},"right_expr":{"type":"numeric_atoms","value":1628,"base":13}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":4536,"base":13},"right_expr":{"type":"numeric_atoms","value":6038,"base":13}}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":3301,"base":13},"right_expr":{"type":"numeric_atoms","value":1745,"base":13}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1523,"base":13},"right_expr":{"type":"numeric_atoms","value":5881,"base":13}}}}},"used_operators":["NTOWxs364D","QMFrweE19q","DZ8iAZOCBD","f6k1SAg4EE","U7g4x0WXJJ","2DlMacCsIx","TpPTUOHfaN","T2fj7uvVaJ","Asc51vEJeQ","rysDP5nf3Z","2td37pGCOC","uFcxV4UQCh"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","AHs5Up7iyr","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2823","layer":4},{"info":"number node, value=1683","layer":4},{"info":"compute binary expreesion, left_input=2823, right_input=1683, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4506","layer":3},{"info":"number node, value=3702","layer":4},{"info":"number node, value=1612","layer":4},{"info":"compute binary expreesion, left_input=3702, 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 binary expreesion, left_input=-4506, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":2},{"info":"number node, value=4398","layer":4},{"info":"number node, value=1628","layer":4},{"info":"compute binary expreesion, left_input=4398, right_input=1628, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=4536","layer":4},{"info":"number node, value=6038","layer":4},{"info":"compute binary expreesion, left_input=4536, right_input=6038, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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 = 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 = 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=3301","layer":4},{"info":"number node, value=1745","layer":4},{"info":"compute binary expreesion, left_input=3301, right_input=1745, op_id = rysDP5nf3Z binary_op_definition= 'None', output=1556","layer":3},{"info":"compute unary expreesion, input=1556, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"number node, value=1523","layer":4},{"info":"number node, value=5881","layer":4},{"info":"compute binary expreesion, left_input=1523, right_input=5881, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1523","layer":3},{"info":"compute unary expreesion, input=1523, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1523","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1523, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍1392⪒⪎⋱⫍9C6)⊉≛↸⪎⋱⫍18BA∑⇟⊟⪎⋱⫍970⫡⨏⪎⋱⫍2004⩨⪎⋱⫍983⩨⪎⋱⫍20AC+⇶⊼⪎⋱⫍2996)⩚⊴⇥(↣≠⋷(⪎⋱⫍166C-⪎⋱⫍A43))⋓(⩦⩻⨪⪎⋱⫍902⪛⪎⋱⫍28A5)=NaN","reverse_text":"NaN=((⪎⋱⫍1392⪒⪎⋱⫍9C6)⊉≛↸⪎⋱⫍18BA∑⇟⊟⪎⋱⫍970⫡⨏⪎⋱⫍2004⩨⪎⋱⫍983⩨⪎⋱⫍20AC+⇶⊼⪎⋱⫍2996)⩚⊴⇥(↣≠⋷(⪎⋱⫍166C-⪎⋱⫍A43))⋓(⩦⩻⨪⪎⋱⫍902⪛⪎⋱⫍28A5)","cot":[{"info":"⪎⋱⫍1392⪒⪎⋱⫍9C6=⪎⋱⫍-2088","layer":3},{"info":"⪎⋱⫍18BA∑⇟⊟⪎⋱⫍970=NaN","layer":3},{"info":"⪎⋱⫍-2088⊉≛↸NaN=NaN","layer":2},{"info":"⪎⋱⫍2004⩨⪎⋱⫍983=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍20AC+⇶⊼⪎⋱⫍2996=NaN","layer":3},{"info":"⪎⋱⫍0⩨NaN=NaN","layer":2},{"info":"NaN⫡⨏NaN=NaN","layer":1},{"info":"⪎⋱⫍166C-⪎⋱⫍A43=⪎⋱⫍929","layer":3},{"info":"↣≠⋷⪎⋱⫍929=NaN","layer":2},{"info":"⪎⋱⫍902⪛⪎⋱⫍28A5=⪎⋱⫍902","layer":3},{"info":"⩦⩻⨪⪎⋱⫍902=⪎⋱⫍902","layer":2},{"info":"NaN⋓⪎⋱⫍902=⪎⋱⫍0","layer":1},{"info":"NaN⩚⊴⇥⪎⋱⫍0=NaN","layer":0}]}
{"id":503,"expression_no_base_symbol":"≦∁(($1757$⩠)⨪↰⇹$4168$⪘⫢$2291$⊘)","expression":"≦∁((⪎⋱⫍A52⩠)⨪↰⇹⪎⋱⫍1B88⪘⫢⪎⋱⫍1073⊘)","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":83,"operation_count":5,"complexity_ratio":16.6,"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":1757,"base":13}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":4168,"base":13},"right_expr":{"type":"numeric_atoms","value":2291,"base":13}}}}},"used_operators":["9ICcGScMcE","gu96TGCTMs","tmPS8pqC7x","sJAwomhLZr","oacrs7FA3X"],"dependent_operators":["XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rJVOvQCfKK","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"⪎⋱⫍-1B8","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1757","layer":4},{"info":"compute unary expreesion, input=1757, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"number node, value=4168","layer":4},{"info":"number node, value=2291","layer":4},{"info":"compute binary expreesion, left_input=4168, right_input=2291, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=8212","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=8212, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=-320","layer":0}],"base":13,"result_base":13,"text":"≦∁((⪎⋱⫍A52⩠)⨪↰⇹⪎⋱⫍1B88⪘⫢⪎⋱⫍1073⊘)=⪎⋱⫍-1B8","reverse_text":"⪎⋱⫍-1B8=≦∁((⪎⋱⫍A52⩠)⨪↰⇹⪎⋱⫍1B88⪘⫢⪎⋱⫍1073⊘)","cot":[{"info":"⪎⋱⫍A52⩠=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍1B88⪘⫢⪎⋱⫍1073=⪎⋱⫍3979","layer":3},{"info":"⪎⋱⫍0⨪↰⇹⪎⋱⫍3979=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍0⊘=⪎⋱⫍0","layer":1},{"info":"≦∁⪎⋱⫍0=⪎⋱⫍-1B8","layer":0}]}
{"id":504,"expression_no_base_symbol":"((↽≂$1619$∼$1343$)⨎(⊄⩳↩($7203$⫸⊐$3724$)))⨪↰⇹((↥$4344$)⪛($2500$/$1922$)⫩⊇)","expression":"((↽≂⪎⋱⫍977∼⪎⋱⫍7C4)⨎(⊄⩳↩(⪎⋱⫍3381⫸⊐⪎⋱⫍1906)))⨪↰⇹((↥⪎⋱⫍1C92)⪛(⪎⋱⫍11A4/⪎⋱⫍B4B)⫩⊇)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":44477,"operation_count":10,"complexity_ratio":4447.7,"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":1619,"base":13},"right_expr":{"type":"numeric_atoms","value":1343,"base":13}}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":7203,"base":13},"right_expr":{"type":"numeric_atoms","value":3724,"base":13}}}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":4344,"base":13}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2500,"base":13},"right_expr":{"type":"numeric_atoms","value":1922,"base":13}}}}},"used_operators":["tmPS8pqC7x","rJVOvQCfKK","u6S6b8DprG","DyGG3AbaNP","8w2t5hMYqp","mqXw5SEYmG","BjRHVeLaeN","uFcxV4UQCh","A8NUZmVepG","XhwjNDsVaA"],"dependent_operators":["rJVOvQCfKK","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","k8jYdgA6NY","rysDP5nf3Z"],"result":"⪎⋱⫍17229","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1619","layer":4},{"info":"number node, value=1343","layer":4},{"info":"compute binary expreesion, left_input=1619, right_input=1343, 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 = 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=7203","layer":4},{"info":"number node, value=3724","layer":4},{"info":"compute binary expreesion, left_input=7203, right_input=3724, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=14771","layer":3},{"info":"compute unary expreesion, input=14771, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-44313","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-44313, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-44313","layer":1},{"info":"number node, value=4344","layer":4},{"info":"compute unary expreesion, input=4344, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=9","layer":3},{"info":"number node, value=2500","layer":4},{"info":"number node, value=1922","layer":4},{"info":"compute binary expreesion, left_input=2500, right_input=1922, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"compute binary expreesion, left_input=9, right_input=1, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=42","layer":1},{"info":"compute binary expreesion, left_input=-44313, right_input=42, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=44313","layer":0}],"base":13,"result_base":13,"text":"((↽≂⪎⋱⫍977∼⪎⋱⫍7C4)⨎(⊄⩳↩(⪎⋱⫍3381⫸⊐⪎⋱⫍1906)))⨪↰⇹((↥⪎⋱⫍1C92)⪛(⪎⋱⫍11A4/⪎⋱⫍B4B)⫩⊇)=⪎⋱⫍17229","reverse_text":"⪎⋱⫍17229=((↽≂⪎⋱⫍977∼⪎⋱⫍7C4)⨎(⊄⩳↩(⪎⋱⫍3381⫸⊐⪎⋱⫍1906)))⨪↰⇹((↥⪎⋱⫍1C92)⪛(⪎⋱⫍11A4/⪎⋱⫍B4B)⫩⊇)","cot":[{"info":"⪎⋱⫍977∼⪎⋱⫍7C4=NaN","layer":3},{"info":"↽≂NaN=NaN","layer":2},{"info":"⪎⋱⫍3381⫸⊐⪎⋱⫍1906=⪎⋱⫍6953","layer":3},{"info":"⊄⩳↩⪎⋱⫍6953=⪎⋱⫍-17229","layer":2},{"info":"NaN⨎⪎⋱⫍-17229=⪎⋱⫍-17229","layer":1},{"info":"↥⪎⋱⫍1C92=⪎⋱⫍9","layer":3},{"info":"⪎⋱⫍11A4/⪎⋱⫍B4B=⪎⋱⫍1","layer":3},{"info":"⪎⋱⫍9⪛⪎⋱⫍1=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍0⫩⊇=⪎⋱⫍33","layer":1},{"info":"⪎⋱⫍-17229⨪↰⇹⪎⋱⫍33=⪎⋱⫍17229","layer":0}]}
{"id":505,"expression_no_base_symbol":"(($6661$-$2417$)⊉≛↸$7554$⋳⪒$4257$)↺($1098$⨐⩸⫘$4422$)⩚⊴⇥$6924$≹⇙⪍$3572$⋷(⊙↵-($1396$⋓$2289$))∲⫓(⩦⩻⨪($2331$↛⩡⫤))","expression":"((⪎⋱⫍3055-⪎⋱⫍113C)⊉≛↸⪎⋱⫍3591⋳⪒⪎⋱⫍1C26)↺(⪎⋱⫍666⨐⩸⫘⪎⋱⫍2022)⩚⊴⇥⪎⋱⫍31C8≹⇙⪍⪎⋱⫍181A⋷(⊙↵-(⪎⋱⫍835⋓⪎⋱⫍1071))∲⫓(⩦⩻⨪(⪎⋱⫍10A4↛⩡⫤))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":7190,"operation_count":13,"complexity_ratio":553.0769230769231,"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":6661,"base":13},"right_expr":{"type":"numeric_atoms","value":2417,"base":13}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":7554,"base":13},"right_expr":{"type":"numeric_atoms","value":4257,"base":13}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1098,"base":13},"right_expr":{"type":"numeric_atoms","value":4422,"base":13}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":6924,"base":13},"right_expr":{"type":"numeric_atoms","value":3572,"base":13}}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1396,"base":13},"right_expr":{"type":"numeric_atoms","value":2289,"base":13}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":2331,"base":13}}}}},"used_operators":["23Mk6UjR3U","7j4O788W3g","DZ8iAZOCBD","rysDP5nf3Z","12rbrZMWeM","NTOWxs364D","fu6greOZ01","AHs5Up7iyr","i8ToyICDmI","oWn0xqSxBt","T2fj7uvVaJ","2td37pGCOC","FU0Cs4j7VP"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","3ViojmjbAp","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=6661","layer":4},{"info":"number node, value=2417","layer":4},{"info":"compute binary expreesion, left_input=6661, right_input=2417, op_id = rysDP5nf3Z binary_op_definition= 'None', output=4244","layer":3},{"info":"number node, value=7554","layer":4},{"info":"number node, value=4257","layer":4},{"info":"compute binary expreesion, left_input=7554, right_input=4257, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=10564","layer":3},{"info":"compute binary expreesion, left_input=4244, right_input=10564, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=8488","layer":2},{"info":"number node, value=1098","layer":4},{"info":"number node, value=4422","layer":4},{"info":"compute binary expreesion, left_input=1098, right_input=4422, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=6924","layer":4},{"info":"number node, value=3572","layer":4},{"info":"compute binary expreesion, left_input=6924, right_input=3572, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=8488, 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=1396","layer":4},{"info":"number node, value=2289","layer":4},{"info":"compute binary expreesion, left_input=1396, right_input=2289, op_id = T2fj7uvVaJ binary_op_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 = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=0","layer":2},{"info":"number node, value=2331","layer":4},{"info":"compute unary expreesion, input=2331, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-348070","layer":3},{"info":"compute unary expreesion, input=-348070, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=-348070","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-348070, 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 = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍3055-⪎⋱⫍113C)⊉≛↸⪎⋱⫍3591⋳⪒⪎⋱⫍1C26)↺(⪎⋱⫍666⨐⩸⫘⪎⋱⫍2022)⩚⊴⇥⪎⋱⫍31C8≹⇙⪍⪎⋱⫍181A⋷(⊙↵-(⪎⋱⫍835⋓⪎⋱⫍1071))∲⫓(⩦⩻⨪(⪎⋱⫍10A4↛⩡⫤))=NaN","reverse_text":"NaN=((⪎⋱⫍3055-⪎⋱⫍113C)⊉≛↸⪎⋱⫍3591⋳⪒⪎⋱⫍1C26)↺(⪎⋱⫍666⨐⩸⫘⪎⋱⫍2022)⩚⊴⇥⪎⋱⫍31C8≹⇙⪍⪎⋱⫍181A⋷(⊙↵-(⪎⋱⫍835⋓⪎⋱⫍1071))∲⫓(⩦⩻⨪(⪎⋱⫍10A4↛⩡⫤))","cot":[{"info":"⪎⋱⫍3055-⪎⋱⫍113C=⪎⋱⫍1C16","layer":3},{"info":"⪎⋱⫍3591⋳⪒⪎⋱⫍1C26=⪎⋱⫍4A68","layer":3},{"info":"⪎⋱⫍1C16⊉≛↸⪎⋱⫍4A68=⪎⋱⫍3B2C","layer":2},{"info":"⪎⋱⫍666⨐⩸⫘⪎⋱⫍2022=NaN","layer":3},{"info":"⪎⋱⫍31C8≹⇙⪍⪎⋱⫍181A=NaN","layer":3},{"info":"NaN⩚⊴⇥NaN=NaN","layer":2},{"info":"⪎⋱⫍3B2C↺NaN=NaN","layer":1},{"info":"⪎⋱⫍835⋓⪎⋱⫍1071=⪎⋱⫍0","layer":3},{"info":"⊙↵-⪎⋱⫍0=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍10A4↛⩡⫤=⪎⋱⫍-C2578","layer":3},{"info":"⩦⩻⨪⪎⋱⫍-C2578=⪎⋱⫍-C2578","layer":2},{"info":"⪎⋱⫍0∲⫓⪎⋱⫍-C2578=⪎⋱⫍0","layer":1},{"info":"NaN⋷⪎⋱⫍0=NaN","layer":0}]}
{"id":506,"expression_no_base_symbol":"↩((⋗⩬⋾$2377$)∑⇟⊟($1036$⪨≂$2199$))⪛(⩦⩻⨪($2975$⪄$3615$))","expression":"↩((⋗⩬⋾⪎⋱⫍110B)∑⇟⊟(⪎⋱⫍619⪨≂⪎⋱⫍1002))⪛(⩦⩻⨪(⪎⋱⫍147B⪄⪎⋱⫍1851))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":130,"operation_count":7,"complexity_ratio":18.571428571428573,"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":2377,"base":13}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1036,"base":13},"right_expr":{"type":"numeric_atoms","value":2199,"base":13}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2975,"base":13},"right_expr":{"type":"numeric_atoms","value":3615,"base":13}}}}},"used_operators":["jLgFTUHLKL","uFcxV4UQCh","U7g4x0WXJJ","DpFCA1CohY","sdazOOVcIp","2td37pGCOC","SUmda5xLS4"],"dependent_operators":["sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2377","layer":4},{"info":"compute unary expreesion, input=2377, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-7131","layer":3},{"info":"number node, value=1036","layer":4},{"info":"number node, value=2199","layer":4},{"info":"compute binary expreesion, left_input=1036, right_input=2199, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-2224","layer":3},{"info":"compute binary expreesion, left_input=-7131, right_input=-2224, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=2975","layer":4},{"info":"number node, value=3615","layer":4},{"info":"compute binary expreesion, left_input=2975, right_input=3615, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-450849","layer":3},{"info":"compute unary expreesion, input=-450849, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=-450849","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-450849, 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 = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"↩((⋗⩬⋾⪎⋱⫍110B)∑⇟⊟(⪎⋱⫍619⪨≂⪎⋱⫍1002))⪛(⩦⩻⨪(⪎⋱⫍147B⪄⪎⋱⫍1851))=NaN","reverse_text":"NaN=↩((⋗⩬⋾⪎⋱⫍110B)∑⇟⊟(⪎⋱⫍619⪨≂⪎⋱⫍1002))⪛(⩦⩻⨪(⪎⋱⫍147B⪄⪎⋱⫍1851))","cot":[{"info":"⋗⩬⋾⪎⋱⫍110B=⪎⋱⫍-3327","layer":3},{"info":"⪎⋱⫍619⪨≂⪎⋱⫍1002=⪎⋱⫍-1021","layer":3},{"info":"⪎⋱⫍-3327∑⇟⊟⪎⋱⫍-1021=NaN","layer":2},{"info":"⪎⋱⫍147B⪄⪎⋱⫍1851=⪎⋱⫍-12A299","layer":3},{"info":"⩦⩻⨪⪎⋱⫍-12A299=⪎⋱⫍-12A299","layer":2},{"info":"NaN⪛⪎⋱⫍-12A299=NaN","layer":1},{"info":"↩NaN=NaN","layer":0}]}
{"id":507,"expression_no_base_symbol":"$6068$⪢$4114$⇷($1777$≎⊠⪸$3359$)⨳⩥⨓($3140$⪨≂$5685$)⫥∨⫟($4415$⪠⩆⊳)⇼⇔∾((⨈⫕$4242$)↬($4685$⨓$3464$))⨟⋌⩍(⨵≀≌($4997$≦≮≮))","expression":"⪎⋱⫍29BA⪢⪎⋱⫍1B46⇷(⪎⋱⫍A69≎⊠⪸⪎⋱⫍16B5)⨳⩥⨓(⪎⋱⫍1577⪨≂⪎⋱⫍2784)⫥∨⫟(⪎⋱⫍2018⪠⩆⊳)⇼⇔∾((⨈⫕⪎⋱⫍1C14)↬(⪎⋱⫍2195⨓⪎⋱⫍1766))⨟⋌⩍(⨵≀≌(⪎⋱⫍2375≦≮≮))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":26388,"operation_count":14,"complexity_ratio":1884.857142857143,"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":6068,"base":13},"right_expr":{"type":"numeric_atoms","value":4114,"base":13}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1777,"base":13},"right_expr":{"type":"numeric_atoms","value":3359,"base":13}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":3140,"base":13},"right_expr":{"type":"numeric_atoms","value":5685,"base":13}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":4415,"base":13}}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":4242,"base":13}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":4685,"base":13},"right_expr":{"type":"numeric_atoms","value":3464,"base":13}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":4997,"base":13}}}}},"used_operators":["tifHPKVTfV","nCS4ZIUYfx","mp7IySMOzn","dWAJyo7jo9","bJkvcejdHO","KYD54nUTWz","sdazOOVcIp","JLbD19bQDL","rGHVDoGpnC","B5M0gjZbta","megm06wKyl","3ViojmjbAp","srAu1WTS94","D4vGDi5EA2"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","k8jYdgA6NY","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","rGHVDoGpnC","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=6068","layer":4},{"info":"number node, value=4114","layer":4},{"info":"compute binary expreesion, left_input=6068, right_input=4114, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=1777","layer":4},{"info":"number node, value=3359","layer":4},{"info":"compute binary expreesion, left_input=1777, right_input=3359, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=459770","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=459770, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=919540","layer":2},{"info":"number node, value=3140","layer":4},{"info":"number node, value=5685","layer":4},{"info":"compute binary expreesion, left_input=3140, right_input=5685, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-4988","layer":3},{"info":"number node, value=4415","layer":4},{"info":"compute unary expreesion, input=4415, 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=-4988, right_input=0, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=919540, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":1},{"info":"number node, value=4242","layer":4},{"info":"compute unary expreesion, input=4242, 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=4685","layer":4},{"info":"number node, value=3464","layer":4},{"info":"compute binary expreesion, left_input=4685, right_input=3464, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3467","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=-3467, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=4997","layer":4},{"info":"compute unary expreesion, input=4997, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-14991","layer":3},{"info":"compute unary expreesion, input=-14991, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=224730081","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=224730081, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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 = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍29BA⪢⪎⋱⫍1B46⇷(⪎⋱⫍A69≎⊠⪸⪎⋱⫍16B5)⨳⩥⨓(⪎⋱⫍1577⪨≂⪎⋱⫍2784)⫥∨⫟(⪎⋱⫍2018⪠⩆⊳)⇼⇔∾((⨈⫕⪎⋱⫍1C14)↬(⪎⋱⫍2195⨓⪎⋱⫍1766))⨟⋌⩍(⨵≀≌(⪎⋱⫍2375≦≮≮))=NaN","reverse_text":"NaN=⪎⋱⫍29BA⪢⪎⋱⫍1B46⇷(⪎⋱⫍A69≎⊠⪸⪎⋱⫍16B5)⨳⩥⨓(⪎⋱⫍1577⪨≂⪎⋱⫍2784)⫥∨⫟(⪎⋱⫍2018⪠⩆⊳)⇼⇔∾((⨈⫕⪎⋱⫍1C14)↬(⪎⋱⫍2195⨓⪎⋱⫍1766))⨟⋌⩍(⨵≀≌(⪎⋱⫍2375≦≮≮))","cot":[{"info":"⪎⋱⫍29BA⪢⪎⋱⫍1B46=NaN","layer":3},{"info":"⪎⋱⫍A69≎⊠⪸⪎⋱⫍16B5=⪎⋱⫍13136C","layer":3},{"info":"NaN⇷⪎⋱⫍13136C=⪎⋱⫍26270B","layer":2},{"info":"⪎⋱⫍1577⪨≂⪎⋱⫍2784=⪎⋱⫍-2369","layer":3},{"info":"⪎⋱⫍2018⪠⩆⊳=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍-2369⫥∨⫟⪎⋱⫍0=NaN","layer":2},{"info":"⪎⋱⫍26270B⨳⩥⨓NaN=NaN","layer":1},{"info":"⨈⫕⪎⋱⫍1C14=⪎⋱⫍-18","layer":3},{"info":"⪎⋱⫍2195⨓⪎⋱⫍1766=⪎⋱⫍-1769","layer":3},{"info":"⪎⋱⫍-18↬⪎⋱⫍-1769=NaN","layer":2},{"info":"⪎⋱⫍2375≦≮≮=⪎⋱⫍-6A92","layer":3},{"info":"⨵≀≌⪎⋱⫍-6A92=⪎⋱⫍377356A4","layer":2},{"info":"NaN⨟⋌⩍⪎⋱⫍377356A4=NaN","layer":1},{"info":"NaN⇼⇔∾NaN=NaN","layer":0}]}
{"id":508,"expression_no_base_symbol":"((($2759$⫸⊐$1736$)⋳⪒($5350$⋥≓≎$2026$))≫≃)⋓(($3093$+$4219$)⊭↱($8437$⊭↱$2881$)⊭↱(↩($1645$-$1520$)))","expression":"(((⪎⋱⫍1343⫸⊐⪎⋱⫍A37)⋳⪒(⪎⋱⫍2587⋥≓≎⪎⋱⫍BCB))≫≃)⋓((⪎⋱⫍153C+⪎⋱⫍1BC7)⊭↱(⪎⋱⫍3AC0⊭↱⪎⋱⫍1408)⊭↱(↩(⪎⋱⫍997-⪎⋱⫍8CC)))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":91,"operation_count":11,"complexity_ratio":8.272727272727273,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2759,"base":13},"right_expr":{"type":"numeric_atoms","value":1736,"base":13}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":5350,"base":13},"right_expr":{"type":"numeric_atoms","value":2026,"base":13}}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":3093,"base":13},"right_expr":{"type":"numeric_atoms","value":4219,"base":13}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":8437,"base":13},"right_expr":{"type":"numeric_atoms","value":2881,"base":13}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1645,"base":13},"right_expr":{"type":"numeric_atoms","value":1520,"base":13}}}}},"used_operators":["T2fj7uvVaJ","X99M06cbEe","12rbrZMWeM","mqXw5SEYmG","Qy55tPpLXF","COABgblf1C","W4YGzv6Whe","jLgFTUHLKL","rysDP5nf3Z"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2759","layer":4},{"info":"number node, value=1736","layer":4},{"info":"compute binary expreesion, left_input=2759, right_input=1736, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=6819","layer":3},{"info":"number node, value=5350","layer":4},{"info":"number node, value=2026","layer":4},{"info":"compute binary expreesion, left_input=5350, right_input=2026, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-1265","layer":3},{"info":"compute binary expreesion, left_input=6819, right_input=-1265, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=14616","layer":2},{"info":"compute unary expreesion, input=14616, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=30633","layer":1},{"info":"number node, value=3093","layer":4},{"info":"number node, value=4219","layer":4},{"info":"compute binary expreesion, left_input=3093, right_input=4219, op_id = W4YGzv6Whe binary_op_definition= 'None', output=7312","layer":3},{"info":"number node, value=8437","layer":4},{"info":"number node, value=2881","layer":4},{"info":"compute binary expreesion, left_input=8437, right_input=2881, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-11107","layer":3},{"info":"compute binary expreesion, left_input=7312, right_input=-11107, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-36833","layer":2},{"info":"number node, value=1645","layer":4},{"info":"number node, value=1520","layer":4},{"info":"compute binary expreesion, left_input=1645, right_input=1520, op_id = rysDP5nf3Z binary_op_definition= 'None', output=125","layer":3},{"info":"compute unary expreesion, input=125, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=1780","layer":2},{"info":"compute binary expreesion, left_input=-36833, right_input=1780, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=77231","layer":1},{"info":"compute binary expreesion, left_input=30633, right_input=77231, op_id = T2fj7uvVaJ binary_op_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":13,"result_base":13,"text":"(((⪎⋱⫍1343⫸⊐⪎⋱⫍A37)⋳⪒(⪎⋱⫍2587⋥≓≎⪎⋱⫍BCB))≫≃)⋓((⪎⋱⫍153C+⪎⋱⫍1BC7)⊭↱(⪎⋱⫍3AC0⊭↱⪎⋱⫍1408)⊭↱(↩(⪎⋱⫍997-⪎⋱⫍8CC)))=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=(((⪎⋱⫍1343⫸⊐⪎⋱⫍A37)⋳⪒(⪎⋱⫍2587⋥≓≎⪎⋱⫍BCB))≫≃)⋓((⪎⋱⫍153C+⪎⋱⫍1BC7)⊭↱(⪎⋱⫍3AC0⊭↱⪎⋱⫍1408)⊭↱(↩(⪎⋱⫍997-⪎⋱⫍8CC)))","cot":[{"info":"⪎⋱⫍1343⫸⊐⪎⋱⫍A37=⪎⋱⫍3147","layer":3},{"info":"⪎⋱⫍2587⋥≓≎⪎⋱⫍BCB=⪎⋱⫍-764","layer":3},{"info":"⪎⋱⫍3147⋳⪒⪎⋱⫍-764=⪎⋱⫍6864","layer":2},{"info":"⪎⋱⫍6864≫≃=⪎⋱⫍10C35","layer":1},{"info":"⪎⋱⫍153C+⪎⋱⫍1BC7=⪎⋱⫍3436","layer":3},{"info":"⪎⋱⫍3AC0⊭↱⪎⋱⫍1408=⪎⋱⫍-5095","layer":3},{"info":"⪎⋱⫍3436⊭↱⪎⋱⫍-5095=⪎⋱⫍-139C4","layer":2},{"info":"⪎⋱⫍997-⪎⋱⫍8CC=⪎⋱⫍98","layer":3},{"info":"↩⪎⋱⫍98=⪎⋱⫍A6C","layer":2},{"info":"⪎⋱⫍-139C4⊭↱⪎⋱⫍A6C=⪎⋱⫍291CB","layer":1},{"info":"⪎⋱⫍10C35⋓⪎⋱⫍291CB=⪎⋱⫍0","layer":0}]}
{"id":509,"expression_no_base_symbol":"(⪝⪂⫅(⨞⊢$2303$≎⊠⪸$1124$))⊦⊿","expression":"(⪝⪂⫅(⨞⊢⪎⋱⫍1082≎⊠⪸⪎⋱⫍686))⊦⊿","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":428,"operation_count":4,"complexity_ratio":107.0,"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":2303,"base":13},"right_expr":{"type":"numeric_atoms","value":1124,"base":13}}}}},"used_operators":["14qkJME0vr","XTarYq4gQB","xUOZtlo3hN","bJkvcejdHO"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"⪎⋱⫍-42614A73","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2303","layer":4},{"info":"number node, value=1124","layer":4},{"info":"compute binary expreesion, left_input=2303, right_input=1124, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=596004","layer":3},{"info":"compute unary expreesion, input=596004, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-596178","layer":2},{"info":"compute unary expreesion, input=-596178, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=87638166","layer":1},{"info":"compute unary expreesion, input=87638166, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-262914577","layer":0}],"base":13,"result_base":13,"text":"(⪝⪂⫅(⨞⊢⪎⋱⫍1082≎⊠⪸⪎⋱⫍686))⊦⊿=⪎⋱⫍-42614A73","reverse_text":"⪎⋱⫍-42614A73=(⪝⪂⫅(⨞⊢⪎⋱⫍1082≎⊠⪸⪎⋱⫍686))⊦⊿","cot":[{"info":"⪎⋱⫍1082≎⊠⪸⪎⋱⫍686=⪎⋱⫍17B386","layer":3},{"info":"⨞⊢⪎⋱⫍17B386=⪎⋱⫍-17B48B","layer":2},{"info":"⪝⪂⫅⪎⋱⫍-17B48B=⪎⋱⫍15205C05","layer":1},{"info":"⪎⋱⫍15205C05⊦⊿=⪎⋱⫍-42614A73","layer":0}]}
{"id":510,"expression_no_base_symbol":"(($2796$/$1051$)↬($2612$*$2995$)≦≮≮)⊭∹↮","expression":"((⪎⋱⫍1371/⪎⋱⫍62B)↬(⪎⋱⫍125C*⪎⋱⫍1495)≦≮≮)⊭∹↮","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":2625,"operation_count":5,"complexity_ratio":525.0,"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":2796,"base":13},"right_expr":{"type":"numeric_atoms","value":1051,"base":13}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2612,"base":13},"right_expr":{"type":"numeric_atoms","value":2995,"base":13}}}}},"used_operators":["xNBdhnnwKq","D4vGDi5EA2","B5M0gjZbta","XhwjNDsVaA","9HNa5Wba9A"],"dependent_operators":["2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2796","layer":4},{"info":"number node, value=1051","layer":4},{"info":"compute binary expreesion, left_input=2796, right_input=1051, op_id = XhwjNDsVaA binary_op_definition= 'None', output=2","layer":3},{"info":"number node, value=2612","layer":4},{"info":"number node, value=2995","layer":4},{"info":"compute binary expreesion, left_input=2612, right_input=2995, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=7822940","layer":3},{"info":"compute binary expreesion, left_input=2, right_input=7822940, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=nan","layer":1},{"info":"compute 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":13,"result_base":13,"text":"((⪎⋱⫍1371/⪎⋱⫍62B)↬(⪎⋱⫍125C*⪎⋱⫍1495)≦≮≮)⊭∹↮=NaN","reverse_text":"NaN=((⪎⋱⫍1371/⪎⋱⫍62B)↬(⪎⋱⫍125C*⪎⋱⫍1495)≦≮≮)⊭∹↮","cot":[{"info":"⪎⋱⫍1371/⪎⋱⫍62B=⪎⋱⫍2","layer":3},{"info":"⪎⋱⫍125C*⪎⋱⫍1495=⪎⋱⫍180B978","layer":3},{"info":"⪎⋱⫍2↬⪎⋱⫍180B978=NaN","layer":2},{"info":"NaN≦≮≮=NaN","layer":1},{"info":"NaN⊭∹↮=NaN","layer":0}]}
{"id":511,"expression_no_base_symbol":"(≦∁(↩$4681$))+⇶⊼(⨈⫕$7626$)∑⇟⊟($3217$≫≃)⩤","expression":"(≦∁(↩⪎⋱⫍2191))+⇶⊼(⨈⫕⪎⋱⫍3618)∑⇟⊟(⪎⋱⫍1606≫≃)⩤","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":553,"operation_count":7,"complexity_ratio":79.0,"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":4681,"base":13}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":7626,"base":13}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":3217,"base":13}}}}},"used_operators":["Z2TMIBDE3Q","TpPTUOHfaN","9ICcGScMcE","jLgFTUHLKL","U7g4x0WXJJ","megm06wKyl","X99M06cbEe"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4681","layer":4},{"info":"compute unary expreesion, input=4681, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-34668","layer":3},{"info":"compute unary expreesion, input=-34668, 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=7626","layer":4},{"info":"compute unary expreesion, input=7626, 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=3217","layer":4},{"info":"compute unary expreesion, input=3217, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=7835","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=7835, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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":13,"result_base":13,"text":"(≦∁(↩⪎⋱⫍2191))+⇶⊼(⨈⫕⪎⋱⫍3618)∑⇟⊟(⪎⋱⫍1606≫≃)⩤=NaN","reverse_text":"NaN=(≦∁(↩⪎⋱⫍2191))+⇶⊼(⨈⫕⪎⋱⫍3618)∑⇟⊟(⪎⋱⫍1606≫≃)⩤","cot":[{"info":"↩⪎⋱⫍2191=⪎⋱⫍-12A1A","layer":3},{"info":"≦∁⪎⋱⫍-12A1A=⪎⋱⫍52","layer":2},{"info":"⨈⫕⪎⋱⫍3618=⪎⋱⫍-18","layer":3},{"info":"⪎⋱⫍1606≫≃=⪎⋱⫍3749","layer":3},{"info":"⪎⋱⫍-18∑⇟⊟⪎⋱⫍3749=NaN","layer":2},{"info":"⪎⋱⫍52+⇶⊼NaN=NaN","layer":1},{"info":"NaN⩤=NaN","layer":0}]}
{"id":512,"expression_no_base_symbol":"($5980$⪢$4338$⨪↰⇹($1172$⨐⩸⫘$3029$)∸)⪛(↔(($5641$⪐)⋥≓≎($4294$↺$1074$)))","expression":"(⪎⋱⫍2950⪢⪎⋱⫍1C89⨪↰⇹(⪎⋱⫍6C2⨐⩸⫘⪎⋱⫍14C0)∸)⪛(↔((⪎⋱⫍274C⪐)⋥≓≎(⪎⋱⫍1C54↺⪎⋱⫍648)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":5277,"operation_count":9,"complexity_ratio":586.3333333333334,"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":5980,"base":13},"right_expr":{"type":"numeric_atoms","value":4338,"base":13}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1172,"base":13},"right_expr":{"type":"numeric_atoms","value":3029,"base":13}}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":5641,"base":13}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":4294,"base":13},"right_expr":{"type":"numeric_atoms","value":1074,"base":13}}}}},"used_operators":["uFcxV4UQCh","o20kRiQErp","tmPS8pqC7x","dWAJyo7jo9","fu6greOZ01","ruOEQAzv1W","Qy55tPpLXF","eH2TOUuTDT","7j4O788W3g"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","tmPS8pqC7x","rJVOvQCfKK","k8jYdgA6NY","3ViojmjbAp","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍-70","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5980","layer":4},{"info":"number node, value=4338","layer":4},{"info":"compute binary expreesion, left_input=5980, right_input=4338, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=1172","layer":4},{"info":"number node, value=3029","layer":4},{"info":"compute binary expreesion, left_input=1172, right_input=3029, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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 = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":1},{"info":"number node, value=5641","layer":4},{"info":"compute unary expreesion, input=5641, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=11282","layer":3},{"info":"number node, value=4294","layer":4},{"info":"number node, value=1074","layer":4},{"info":"compute binary expreesion, left_input=4294, right_input=1074, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1074","layer":3},{"info":"compute binary expreesion, left_input=11282, right_input=1074, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-9101","layer":2},{"info":"compute unary expreesion, input=-9101, 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=177, right_input=-134, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=-91","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍2950⪢⪎⋱⫍1C89⨪↰⇹(⪎⋱⫍6C2⨐⩸⫘⪎⋱⫍14C0)∸)⪛(↔((⪎⋱⫍274C⪐)⋥≓≎(⪎⋱⫍1C54↺⪎⋱⫍648)))=⪎⋱⫍-70","reverse_text":"⪎⋱⫍-70=(⪎⋱⫍2950⪢⪎⋱⫍1C89⨪↰⇹(⪎⋱⫍6C2⨐⩸⫘⪎⋱⫍14C0)∸)⪛(↔((⪎⋱⫍274C⪐)⋥≓≎(⪎⋱⫍1C54↺⪎⋱⫍648)))","cot":[{"info":"⪎⋱⫍2950⪢⪎⋱⫍1C89=NaN","layer":3},{"info":"⪎⋱⫍6C2⨐⩸⫘⪎⋱⫍14C0=NaN","layer":3},{"info":"NaN⨪↰⇹NaN=NaN","layer":2},{"info":"NaN∸=⪎⋱⫍108","layer":1},{"info":"⪎⋱⫍274C⪐=⪎⋱⫍519B","layer":3},{"info":"⪎⋱⫍1C54↺⪎⋱⫍648=⪎⋱⫍648","layer":3},{"info":"⪎⋱⫍519B⋥≓≎⪎⋱⫍648=⪎⋱⫍-41B1","layer":2},{"info":"↔⪎⋱⫍-41B1=⪎⋱⫍-A4","layer":1},{"info":"⪎⋱⫍108⪛⪎⋱⫍-A4=⪎⋱⫍-70","layer":0}]}
{"id":513,"expression_no_base_symbol":"($2117$∑⇟⊟$1852$∑⇟⊟($5785$⋥≓≎$1350$)+(($1379$*$6540$)⊦⊿))⊴(↔((⊙↵-$3562$)↛⩡⫤))","expression":"(⪎⋱⫍C6B∑⇟⊟⪎⋱⫍AC6∑⇟⊟(⪎⋱⫍2830⋥≓≎⪎⋱⫍7CB)+((⪎⋱⫍821*⪎⋱⫍2C91)⊦⊿))⊴(↔((⊙↵-⪎⋱⫍1810)↛⩡⫤))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":5869,"operation_count":10,"complexity_ratio":586.9,"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":2117,"base":13},"right_expr":{"type":"numeric_atoms","value":1852,"base":13}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":5785,"base":13},"right_expr":{"type":"numeric_atoms","value":1350,"base":13}}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1379,"base":13},"right_expr":{"type":"numeric_atoms","value":6540,"base":13}}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":3562,"base":13}}}}},"used_operators":["Nsiff2A1zJ","W4YGzv6Whe","U7g4x0WXJJ","Qy55tPpLXF","14qkJME0vr","9HNa5Wba9A","ruOEQAzv1W","FU0Cs4j7VP","oWn0xqSxBt"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2117","layer":4},{"info":"number node, value=1852","layer":4},{"info":"compute binary expreesion, left_input=2117, right_input=1852, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=5785","layer":4},{"info":"number node, value=1350","layer":4},{"info":"compute binary expreesion, left_input=5785, right_input=1350, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-3052","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3052, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=1379","layer":4},{"info":"number node, value=6540","layer":4},{"info":"compute binary expreesion, left_input=1379, right_input=6540, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=9018660","layer":3},{"info":"compute unary expreesion, input=9018660, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-27056059","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-27056059, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=3562","layer":4},{"info":"compute unary expreesion, input=3562, 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":"compute unary expreesion, input=1, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=787","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=787, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍C6B∑⇟⊟⪎⋱⫍AC6∑⇟⊟(⪎⋱⫍2830⋥≓≎⪎⋱⫍7CB)+((⪎⋱⫍821*⪎⋱⫍2C91)⊦⊿))⊴(↔((⊙↵-⪎⋱⫍1810)↛⩡⫤))=NaN","reverse_text":"NaN=(⪎⋱⫍C6B∑⇟⊟⪎⋱⫍AC6∑⇟⊟(⪎⋱⫍2830⋥≓≎⪎⋱⫍7CB)+((⪎⋱⫍821*⪎⋱⫍2C91)⊦⊿))⊴(↔((⊙↵-⪎⋱⫍1810)↛⩡⫤))","cot":[{"info":"⪎⋱⫍C6B∑⇟⊟⪎⋱⫍AC6=NaN","layer":3},{"info":"⪎⋱⫍2830⋥≓≎⪎⋱⫍7CB=⪎⋱⫍-150A","layer":3},{"info":"NaN∑⇟⊟⪎⋱⫍-150A=NaN","layer":2},{"info":"⪎⋱⫍821*⪎⋱⫍2C91=⪎⋱⫍1B39CB1","layer":3},{"info":"⪎⋱⫍1B39CB1⊦⊿=⪎⋱⫍-57B4004","layer":2},{"info":"NaN+⪎⋱⫍-57B4004=NaN","layer":1},{"info":"⊙↵-⪎⋱⫍1810=⪎⋱⫍-1","layer":3},{"info":"⪎⋱⫍-1↛⩡⫤=⪎⋱⫍1","layer":2},{"info":"↔⪎⋱⫍1=⪎⋱⫍487","layer":1},{"info":"NaN⊴⪎⋱⫍487=NaN","layer":0}]}
{"id":514,"expression_no_base_symbol":"($2288$∀⇚≩$1593$)⪢($1119$-$4604$)⋓(($2810$≣⋋)⫡⨏$7372$⩨$2343$)↪⪝","expression":"(⪎⋱⫍1070∀⇚≩⪎⋱⫍957)⪢(⪎⋱⫍681-⪎⋱⫍2132)⋓((⪎⋱⫍1382≣⋋)⫡⨏⪎⋱⫍3481⩨⪎⋱⫍10B3)↪⪝","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":20045,"operation_count":8,"complexity_ratio":2505.625,"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":2288,"base":13},"right_expr":{"type":"numeric_atoms","value":1593,"base":13}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1119,"base":13},"right_expr":{"type":"numeric_atoms","value":4604,"base":13}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":2810,"base":13}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":7372,"base":13},"right_expr":{"type":"numeric_atoms","value":2343,"base":13}}}}},"used_operators":["l07mrZUIn9","T2fj7uvVaJ","dWAJyo7jo9","LRNGc0VcxI","rysDP5nf3Z","QMFrweE19q","Tcnh7f0tEr","2DlMacCsIx"],"dependent_operators":["9HNa5Wba9A","2DDjHMKMc0","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","k8jYdgA6NY","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2288","layer":4},{"info":"number node, value=1593","layer":4},{"info":"compute binary expreesion, left_input=2288, right_input=1593, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=1119","layer":4},{"info":"number node, value=4604","layer":4},{"info":"compute binary expreesion, left_input=1119, right_input=4604, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-3485","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3485, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=2810","layer":4},{"info":"compute unary expreesion, input=2810, 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=7372","layer":4},{"info":"number node, value=2343","layer":4},{"info":"compute binary expreesion, left_input=7372, right_input=2343, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=783","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=783, op_id = T2fj7uvVaJ binary_op_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 = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=0","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍1070∀⇚≩⪎⋱⫍957)⪢(⪎⋱⫍681-⪎⋱⫍2132)⋓((⪎⋱⫍1382≣⋋)⫡⨏⪎⋱⫍3481⩨⪎⋱⫍10B3)↪⪝=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=(⪎⋱⫍1070∀⇚≩⪎⋱⫍957)⪢(⪎⋱⫍681-⪎⋱⫍2132)⋓((⪎⋱⫍1382≣⋋)⫡⨏⪎⋱⫍3481⩨⪎⋱⫍10B3)↪⪝","cot":[{"info":"⪎⋱⫍1070∀⇚≩⪎⋱⫍957=NaN","layer":3},{"info":"⪎⋱⫍681-⪎⋱⫍2132=⪎⋱⫍-1781","layer":3},{"info":"NaN⪢⪎⋱⫍-1781=NaN","layer":2},{"info":"⪎⋱⫍1382≣⋋=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍3481⩨⪎⋱⫍10B3=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍0⫡⨏⪎⋱⫍0=⪎⋱⫍483","layer":2},{"info":"NaN⋓⪎⋱⫍483=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍0↪⪝=⪎⋱⫍0","layer":0}]}
{"id":515,"expression_no_base_symbol":"(⫛⫱⨽(⊙↵-($4605$⇷$1952$)))↬(($3099$⫸⊐$1149$)⪢($2612$⫡⨏$3782$))⪢(($1000$⨸⪁$6608$)⋥≓≎(⊥$1367$))","expression":"(⫛⫱⨽(⊙↵-(⪎⋱⫍2133⇷⪎⋱⫍B72)))↬((⪎⋱⫍1545⫸⊐⪎⋱⫍6A5)⪢(⪎⋱⫍125C⫡⨏⪎⋱⫍194C))⪢((⪎⋱⫍5BC⨸⪁⪎⋱⫍3014)⋥≓≎(⊥⪎⋱⫍812))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":90969,"operation_count":11,"complexity_ratio":8269.90909090909,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":4605,"base":13},"right_expr":{"type":"numeric_atoms","value":1952,"base":13}}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":3099,"base":13},"right_expr":{"type":"numeric_atoms","value":1149,"base":13}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2612,"base":13},"right_expr":{"type":"numeric_atoms","value":3782,"base":13}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1000,"base":13},"right_expr":{"type":"numeric_atoms","value":6608,"base":13}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":1367,"base":13}}}}},"used_operators":["B5M0gjZbta","DlLNRPXxWL","oWn0xqSxBt","mp7IySMOzn","dWAJyo7jo9","mqXw5SEYmG","QMFrweE19q","Qy55tPpLXF","g55IO6H4Gj","Q3PJZHRvZv"],"dependent_operators":["rGHVDoGpnC","rGHVDoGpnC","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","k8jYdgA6NY","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","fu6greOZ01"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=4605","layer":4},{"info":"number node, value=1952","layer":4},{"info":"compute binary expreesion, left_input=4605, right_input=1952, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3904","layer":3},{"info":"compute unary expreesion, input=3904, 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 = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":1},{"info":"number node, value=3099","layer":4},{"info":"number node, value=1149","layer":4},{"info":"compute binary expreesion, left_input=3099, right_input=1149, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=4471","layer":3},{"info":"number node, value=2612","layer":4},{"info":"number node, value=3782","layer":4},{"info":"compute binary expreesion, left_input=2612, right_input=3782, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=21407","layer":3},{"info":"compute binary expreesion, left_input=4471, right_input=21407, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=1000","layer":4},{"info":"number node, value=6608","layer":4},{"info":"compute binary expreesion, left_input=1000, right_input=6608, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=15216","layer":3},{"info":"number node, value=1367","layer":4},{"info":"compute unary expreesion, input=1367, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=15216, 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 = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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":13,"result_base":13,"text":"(⫛⫱⨽(⊙↵-(⪎⋱⫍2133⇷⪎⋱⫍B72)))↬((⪎⋱⫍1545⫸⊐⪎⋱⫍6A5)⪢(⪎⋱⫍125C⫡⨏⪎⋱⫍194C))⪢((⪎⋱⫍5BC⨸⪁⪎⋱⫍3014)⋥≓≎(⊥⪎⋱⫍812))=NaN","reverse_text":"NaN=(⫛⫱⨽(⊙↵-(⪎⋱⫍2133⇷⪎⋱⫍B72)))↬((⪎⋱⫍1545⫸⊐⪎⋱⫍6A5)⪢(⪎⋱⫍125C⫡⨏⪎⋱⫍194C))⪢((⪎⋱⫍5BC⨸⪁⪎⋱⫍3014)⋥≓≎(⊥⪎⋱⫍812))","cot":[{"info":"⪎⋱⫍2133⇷⪎⋱⫍B72=⪎⋱⫍1A14","layer":3},{"info":"⊙↵-⪎⋱⫍1A14=⪎⋱⫍-1","layer":2},{"info":"⫛⫱⨽⪎⋱⫍-1=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍1545⫸⊐⪎⋱⫍6A5=⪎⋱⫍205C","layer":3},{"info":"⪎⋱⫍125C⫡⨏⪎⋱⫍194C=⪎⋱⫍9989","layer":3},{"info":"⪎⋱⫍205C⪢⪎⋱⫍9989=NaN","layer":2},{"info":"⪎⋱⫍5BC⨸⪁⪎⋱⫍3014=⪎⋱⫍6C06","layer":3},{"info":"⊥⪎⋱⫍812=NaN","layer":3},{"info":"⪎⋱⫍6C06⋥≓≎NaN=NaN","layer":2},{"info":"NaN⪢NaN=NaN","layer":1},{"info":"⪎⋱⫍0↬NaN=NaN","layer":0}]}
{"id":516,"expression_no_base_symbol":"(($2740$↙$1272$)∀⇚≩($5203$↺$1509$)-(≦∁$1116$≹⇙⪍$1779$))⨳⩥⨓(($1390$⫸⊐$6283$)⋥≓≎(⇁⨣⪵$2757$))≎⊠⪸($1069$≭$2989$⫡⨏$5716$⨟⋌⩍$1134$)","expression":"((⪎⋱⫍132A↙⪎⋱⫍76B)∀⇚≩(⪎⋱⫍24A3↺⪎⋱⫍8C1)-(≦∁⪎⋱⫍67B≹⇙⪍⪎⋱⫍A6B))⨳⩥⨓((⪎⋱⫍82C⫸⊐⪎⋱⫍2B24)⋥≓≎(⇁⨣⪵⪎⋱⫍1341))≎⊠⪸(⪎⋱⫍643≭⪎⋱⫍148C⫡⨏⪎⋱⫍27A9⨟⋌⩍⪎⋱⫍693)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":28044,"operation_count":14,"complexity_ratio":2003.142857142857,"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":2740,"base":13},"right_expr":{"type":"numeric_atoms","value":1272,"base":13}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":5203,"base":13},"right_expr":{"type":"numeric_atoms","value":1509,"base":13}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1116,"base":13},"right_expr":{"type":"numeric_atoms","value":1779,"base":13}}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1390,"base":13},"right_expr":{"type":"numeric_atoms","value":6283,"base":13}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":2757,"base":13}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1069,"base":13},"right_expr":{"type":"numeric_atoms","value":2989,"base":13}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":5716,"base":13},"right_expr":{"type":"numeric_atoms","value":1134,"base":13}}}}},"used_operators":["nCS4ZIUYfx","rysDP5nf3Z","LRNGc0VcxI","yyfyN0ffXY","7j4O788W3g","9ICcGScMcE","AHs5Up7iyr","bJkvcejdHO","Qy55tPpLXF","mqXw5SEYmG","inkyxCbjAn","QMFrweE19q","rxpJgHHUmx","rGHVDoGpnC"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","X99M06cbEe","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","dWAJyo7jo9","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","B5M0gjZbta","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2740","layer":4},{"info":"number node, value=1272","layer":4},{"info":"compute binary expreesion, left_input=2740, right_input=1272, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3816","layer":3},{"info":"number node, value=5203","layer":4},{"info":"number node, value=1509","layer":4},{"info":"compute binary expreesion, left_input=5203, right_input=1509, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1509","layer":3},{"info":"compute binary expreesion, left_input=-3816, right_input=1509, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=1116","layer":4},{"info":"number node, value=1779","layer":4},{"info":"compute binary expreesion, left_input=1116, right_input=1779, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=1390","layer":4},{"info":"number node, value=6283","layer":4},{"info":"compute binary expreesion, left_input=1390, right_input=6283, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=25007","layer":3},{"info":"number node, value=2757","layer":4},{"info":"compute unary expreesion, input=2757, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=25007, right_input=nan, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=nan","layer":2},{"info":"number node, value=1069","layer":4},{"info":"number node, value=2989","layer":4},{"info":"compute binary expreesion, left_input=1069, right_input=2989, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=5716","layer":4},{"info":"number node, value=1134","layer":4},{"info":"compute binary expreesion, left_input=5716, right_input=1134, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":2},{"info":"compute 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 = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍132A↙⪎⋱⫍76B)∀⇚≩(⪎⋱⫍24A3↺⪎⋱⫍8C1)-(≦∁⪎⋱⫍67B≹⇙⪍⪎⋱⫍A6B))⨳⩥⨓((⪎⋱⫍82C⫸⊐⪎⋱⫍2B24)⋥≓≎(⇁⨣⪵⪎⋱⫍1341))≎⊠⪸(⪎⋱⫍643≭⪎⋱⫍148C⫡⨏⪎⋱⫍27A9⨟⋌⩍⪎⋱⫍693)=NaN","reverse_text":"NaN=((⪎⋱⫍132A↙⪎⋱⫍76B)∀⇚≩(⪎⋱⫍24A3↺⪎⋱⫍8C1)-(≦∁⪎⋱⫍67B≹⇙⪍⪎⋱⫍A6B))⨳⩥⨓((⪎⋱⫍82C⫸⊐⪎⋱⫍2B24)⋥≓≎(⇁⨣⪵⪎⋱⫍1341))≎⊠⪸(⪎⋱⫍643≭⪎⋱⫍148C⫡⨏⪎⋱⫍27A9⨟⋌⩍⪎⋱⫍693)","cot":[{"info":"⪎⋱⫍132A↙⪎⋱⫍76B=⪎⋱⫍-1977","layer":3},{"info":"⪎⋱⫍24A3↺⪎⋱⫍8C1=⪎⋱⫍8C1","layer":3},{"info":"⪎⋱⫍-1977∀⇚≩⪎⋱⫍8C1=NaN","layer":2},{"info":"⪎⋱⫍67B≹⇙⪍⪎⋱⫍A6B=NaN","layer":3},{"info":"≦∁NaN=NaN","layer":2},{"info":"NaN-NaN=NaN","layer":1},{"info":"⪎⋱⫍82C⫸⊐⪎⋱⫍2B24=⪎⋱⫍B4C8","layer":3},{"info":"⇁⨣⪵⪎⋱⫍1341=NaN","layer":3},{"info":"⪎⋱⫍B4C8⋥≓≎NaN=NaN","layer":2},{"info":"⪎⋱⫍643≭⪎⋱⫍148C=NaN","layer":3},{"info":"⪎⋱⫍27A9⨟⋌⩍⪎⋱⫍693=NaN","layer":3},{"info":"NaN⫡⨏NaN=NaN","layer":2},{"info":"NaN≎⊠⪸NaN=⪎⋱⫍52","layer":1},{"info":"NaN⨳⩥⨓⪎⋱⫍52=NaN","layer":0}]}
{"id":517,"expression_no_base_symbol":"(((⫓⪴$4323$)%(≤/$1158$))⋫)≎⊠⪸((+⊝⨔($4833$⊘))⇼⇔∾(⊄⩳↩$2782$)↬($2439$%$1494$))","expression":"(((⫓⪴⪎⋱⫍1C77)%(≤/⪎⋱⫍6B1))⋫)≎⊠⪸((+⊝⨔(⪎⋱⫍227A⊘))⇼⇔∾(⊄⩳↩⪎⋱⫍1360)↬(⪎⋱⫍1158%⪎⋱⫍8AC))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":32451,"operation_count":11,"complexity_ratio":2950.090909090909,"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":4323,"base":13}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1158,"base":13}}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":4833,"base":13}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":2782,"base":13}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2439,"base":13},"right_expr":{"type":"numeric_atoms","value":1494,"base":13}}}}},"used_operators":["bJkvcejdHO","JL8yIekQnl","k8jYdgA6NY","eLxqMNBOBk","eLAdDNolq6","tifHPKVTfV","DhbWaqg5eL","gu96TGCTMs","B5M0gjZbta","8w2t5hMYqp"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","tmPS8pqC7x","rysDP5nf3Z","9HNa5Wba9A","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍52","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4323","layer":4},{"info":"compute unary expreesion, input=4323, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=18688329","layer":3},{"info":"number node, value=1158","layer":4},{"info":"compute unary expreesion, input=1158, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-674","layer":3},{"info":"compute binary expreesion, left_input=18688329, right_input=-674, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-343","layer":2},{"info":"compute unary expreesion, input=-343, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=343","layer":1},{"info":"number node, value=4833","layer":4},{"info":"compute unary expreesion, input=4833, 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 = 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=2782","layer":4},{"info":"compute unary expreesion, input=2782, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-8346","layer":3},{"info":"number node, value=2439","layer":4},{"info":"number node, value=1494","layer":4},{"info":"compute binary expreesion, left_input=2439, right_input=1494, op_id = k8jYdgA6NY binary_op_definition= 'None', output=945","layer":3},{"info":"compute binary expreesion, left_input=-8346, right_input=945, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1522, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=343, 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":13,"result_base":13,"text":"(((⫓⪴⪎⋱⫍1C77)%(≤/⪎⋱⫍6B1))⋫)≎⊠⪸((+⊝⨔(⪎⋱⫍227A⊘))⇼⇔∾(⊄⩳↩⪎⋱⫍1360)↬(⪎⋱⫍1158%⪎⋱⫍8AC))=⪎⋱⫍52","reverse_text":"⪎⋱⫍52=(((⫓⪴⪎⋱⫍1C77)%(≤/⪎⋱⫍6B1))⋫)≎⊠⪸((+⊝⨔(⪎⋱⫍227A⊘))⇼⇔∾(⊄⩳↩⪎⋱⫍1360)↬(⪎⋱⫍1158%⪎⋱⫍8AC))","cot":[{"info":"⫓⪴⪎⋱⫍1C77=⪎⋱⫍3B443AA","layer":3},{"info":"≤/⪎⋱⫍6B1=⪎⋱⫍-3CB","layer":3},{"info":"⪎⋱⫍3B443AA%⪎⋱⫍-3CB=⪎⋱⫍-205","layer":2},{"info":"⪎⋱⫍-205⋫=⪎⋱⫍205","layer":1},{"info":"⪎⋱⫍227A⊘=⪎⋱⫍0","layer":3},{"info":"+⊝⨔⪎⋱⫍0=⪎⋱⫍901","layer":2},{"info":"⊄⩳↩⪎⋱⫍1360=⪎⋱⫍-3A50","layer":3},{"info":"⪎⋱⫍1158%⪎⋱⫍8AC=⪎⋱⫍579","layer":3},{"info":"⪎⋱⫍-3A50↬⪎⋱⫍579=NaN","layer":2},{"info":"⪎⋱⫍901⇼⇔∾NaN=NaN","layer":1},{"info":"⪎⋱⫍205≎⊠⪸NaN=⪎⋱⫍52","layer":0}]}
{"id":518,"expression_no_base_symbol":"≦∁(($1493$*$4489$)⪛($4298$↙$1177$)⋷($1391$/$1228$)⩷∴(⪝⪂⫅$5134$))","expression":"≦∁((⪎⋱⫍8AB*⪎⋱⫍2074)⪛(⪎⋱⫍1C58↙⪎⋱⫍6C7)⋷(⪎⋱⫍830/⪎⋱⫍736)⩷∴(⪝⪂⫅⪎⋱⫍244C))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":4734,"operation_count":8,"complexity_ratio":591.75,"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":1493,"base":13},"right_expr":{"type":"numeric_atoms","value":4489,"base":13}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":4298,"base":13},"right_expr":{"type":"numeric_atoms","value":1177,"base":13}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1391,"base":13},"right_expr":{"type":"numeric_atoms","value":1228,"base":13}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":5134,"base":13}}}}},"used_operators":["9ICcGScMcE","23Mk6UjR3U","uFcxV4UQCh","9HNa5Wba9A","yyfyN0ffXY","9FxExcQeMw","XhwjNDsVaA","XTarYq4gQB"],"dependent_operators":["XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","rysDP5nf3Z","9HNa5Wba9A","8w2t5hMYqp"],"result":"⪎⋱⫍2CC6","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1493","layer":4},{"info":"number node, value=4489","layer":4},{"info":"compute binary expreesion, left_input=1493, right_input=4489, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=6702077","layer":3},{"info":"number node, value=4298","layer":4},{"info":"number node, value=1177","layer":4},{"info":"compute binary expreesion, left_input=4298, right_input=1177, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3531","layer":3},{"info":"compute binary expreesion, left_input=6702077, right_input=-3531, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=-3292","layer":2},{"info":"number node, value=1391","layer":4},{"info":"number node, value=1228","layer":4},{"info":"compute binary expreesion, left_input=1391, right_input=1228, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"number node, value=5134","layer":4},{"info":"compute unary expreesion, input=5134, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-754698","layer":3},{"info":"compute binary expreesion, left_input=1, right_input=-754698, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=1509366","layer":2},{"info":"compute binary expreesion, left_input=-3292, right_input=1509366, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=6584","layer":1},{"info":"compute unary expreesion, input=6584, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=6584","layer":0}],"base":13,"result_base":13,"text":"≦∁((⪎⋱⫍8AB*⪎⋱⫍2074)⪛(⪎⋱⫍1C58↙⪎⋱⫍6C7)⋷(⪎⋱⫍830/⪎⋱⫍736)⩷∴(⪝⪂⫅⪎⋱⫍244C))=⪎⋱⫍2CC6","reverse_text":"⪎⋱⫍2CC6=≦∁((⪎⋱⫍8AB*⪎⋱⫍2074)⪛(⪎⋱⫍1C58↙⪎⋱⫍6C7)⋷(⪎⋱⫍830/⪎⋱⫍736)⩷∴(⪝⪂⫅⪎⋱⫍244C))","cot":[{"info":"⪎⋱⫍8AB*⪎⋱⫍2074=⪎⋱⫍1508735","layer":3},{"info":"⪎⋱⫍1C58↙⪎⋱⫍6C7=⪎⋱⫍-17B8","layer":3},{"info":"⪎⋱⫍1508735⪛⪎⋱⫍-17B8=⪎⋱⫍-1663","layer":2},{"info":"⪎⋱⫍830/⪎⋱⫍736=⪎⋱⫍1","layer":3},{"info":"⪝⪂⫅⪎⋱⫍244C=⪎⋱⫍-205689","layer":3},{"info":"⪎⋱⫍1⩷∴⪎⋱⫍-205689=⪎⋱⫍40B021","layer":2},{"info":"⪎⋱⫍-1663⋷⪎⋱⫍40B021=⪎⋱⫍2CC6","layer":1},{"info":"≦∁⪎⋱⫍2CC6=⪎⋱⫍2CC6","layer":0}]}
{"id":519,"expression_no_base_symbol":"∂(($5805$⇋≉)%$1049$⩷∴$1225$⫡⨏($1858$⪐)⨳⩥⨓$4465$⪢$7769$)","expression":"∂((⪎⋱⫍2847⇋≉)%⪎⋱⫍629⩷∴⪎⋱⫍733⫡⨏(⪎⋱⫍ACC⪐)⨳⩥⨓⪎⋱⫍2056⪢⪎⋱⫍36C8)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":7820,"operation_count":8,"complexity_ratio":977.5,"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":5805,"base":13}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1049,"base":13},"right_expr":{"type":"numeric_atoms","value":1225,"base":13}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":1858,"base":13}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":4465,"base":13},"right_expr":{"type":"numeric_atoms","value":7769,"base":13}}}}},"used_operators":["Uaa54Peajs","QMFrweE19q","k8jYdgA6NY","XIabStNQrY","9FxExcQeMw","nCS4ZIUYfx","eH2TOUuTDT","dWAJyo7jo9"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5805","layer":4},{"info":"compute unary expreesion, input=5805, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=11512","layer":3},{"info":"number node, value=1049","layer":4},{"info":"number node, value=1225","layer":4},{"info":"compute binary expreesion, left_input=1049, right_input=1225, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-384","layer":3},{"info":"compute binary expreesion, left_input=11512, right_input=-384, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-8","layer":2},{"info":"number node, value=1858","layer":4},{"info":"compute unary expreesion, input=1858, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=3716","layer":3},{"info":"number node, value=4465","layer":4},{"info":"number node, value=7769","layer":4},{"info":"compute binary expreesion, left_input=4465, right_input=7769, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=3716, 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=-8, 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 = 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":13,"result_base":13,"text":"∂((⪎⋱⫍2847⇋≉)%⪎⋱⫍629⩷∴⪎⋱⫍733⫡⨏(⪎⋱⫍ACC⪐)⨳⩥⨓⪎⋱⫍2056⪢⪎⋱⫍36C8)=NaN","reverse_text":"NaN=∂((⪎⋱⫍2847⇋≉)%⪎⋱⫍629⩷∴⪎⋱⫍733⫡⨏(⪎⋱⫍ACC⪐)⨳⩥⨓⪎⋱⫍2056⪢⪎⋱⫍36C8)","cot":[{"info":"⪎⋱⫍2847⇋≉=⪎⋱⫍5317","layer":3},{"info":"⪎⋱⫍629⩷∴⪎⋱⫍733=⪎⋱⫍-237","layer":3},{"info":"⪎⋱⫍5317%⪎⋱⫍-237=⪎⋱⫍-8","layer":2},{"info":"⪎⋱⫍ACC⪐=⪎⋱⫍18CB","layer":3},{"info":"⪎⋱⫍2056⪢⪎⋱⫍36C8=NaN","layer":3},{"info":"⪎⋱⫍18CB⨳⩥⨓NaN=NaN","layer":2},{"info":"⪎⋱⫍-8⫡⨏NaN=NaN","layer":1},{"info":"∂NaN=NaN","layer":0}]}
{"id":520,"expression_no_base_symbol":"(($1092$⫡⨏$1048$)≹⇙⪍($2636$⪮%⊝$2290$)⨵⪆($4744$≫≃)⨰(≦∁$1064$))↬(↔(-$1176$⊭↱$3963$))","expression":"((⪎⋱⫍660⫡⨏⪎⋱⫍628)≹⇙⪍(⪎⋱⫍127A⪮%⊝⪎⋱⫍1072)⨵⪆(⪎⋱⫍220C≫≃)⨰(≦∁⪎⋱⫍63B))↬(↔(-⪎⋱⫍6C6⊭↱⪎⋱⫍1A5B))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":62,"operation_count":11,"complexity_ratio":5.636363636363637,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1092,"base":13},"right_expr":{"type":"numeric_atoms","value":1048,"base":13}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2636,"base":13},"right_expr":{"type":"numeric_atoms","value":2290,"base":13}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":4744,"base":13}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":1064,"base":13}}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1176,"base":13},"right_expr":{"type":"numeric_atoms","value":3963,"base":13}}}}},"used_operators":["B5M0gjZbta","2DQ55sFlQl","AHs5Up7iyr","QMFrweE19q","IWmyXbctLI","eewbuw0ToL","X99M06cbEe","9ICcGScMcE","ruOEQAzv1W","t8gj7n24qd","COABgblf1C"],"dependent_operators":["rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1092","layer":4},{"info":"number node, value=1048","layer":4},{"info":"compute binary expreesion, left_input=1092, right_input=1048, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=8339","layer":3},{"info":"number node, value=2636","layer":4},{"info":"number node, value=2290","layer":4},{"info":"compute binary expreesion, left_input=2636, right_input=2290, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=5588","layer":3},{"info":"compute binary expreesion, left_input=8339, right_input=5588, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=4744","layer":4},{"info":"compute unary expreesion, input=4744, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=10889","layer":3},{"info":"number node, value=1064","layer":4},{"info":"compute unary expreesion, input=1064, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1064","layer":3},{"info":"compute binary expreesion, left_input=10889, right_input=1064, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=9835","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=9835, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=1176","layer":4},{"info":"number node, value=3963","layer":4},{"info":"compute binary expreesion, left_input=1176, right_input=3963, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=5579","layer":3},{"info":"compute unary expreesion, input=5579, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-5579","layer":2},{"info":"compute unary expreesion, input=-5579, 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=160, right_input=-134, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍660⫡⨏⪎⋱⫍628)≹⇙⪍(⪎⋱⫍127A⪮%⊝⪎⋱⫍1072)⨵⪆(⪎⋱⫍220C≫≃)⨰(≦∁⪎⋱⫍63B))↬(↔(-⪎⋱⫍6C6⊭↱⪎⋱⫍1A5B))=NaN","reverse_text":"NaN=((⪎⋱⫍660⫡⨏⪎⋱⫍628)≹⇙⪍(⪎⋱⫍127A⪮%⊝⪎⋱⫍1072)⨵⪆(⪎⋱⫍220C≫≃)⨰(≦∁⪎⋱⫍63B))↬(↔(-⪎⋱⫍6C6⊭↱⪎⋱⫍1A5B))","cot":[{"info":"⪎⋱⫍660⫡⨏⪎⋱⫍628=⪎⋱⫍3A46","layer":3},{"info":"⪎⋱⫍127A⪮%⊝⪎⋱⫍1072=⪎⋱⫍270B","layer":3},{"info":"⪎⋱⫍3A46≹⇙⪍⪎⋱⫍270B=NaN","layer":2},{"info":"⪎⋱⫍220C≫≃=⪎⋱⫍4C58","layer":3},{"info":"≦∁⪎⋱⫍63B=⪎⋱⫍63B","layer":3},{"info":"⪎⋱⫍4C58⨰⪎⋱⫍63B=⪎⋱⫍4627","layer":2},{"info":"NaN⨵⪆⪎⋱⫍4627=⪎⋱⫍C4","layer":1},{"info":"⪎⋱⫍6C6⊭↱⪎⋱⫍1A5B=⪎⋱⫍2702","layer":3},{"info":"-⪎⋱⫍2702=⪎⋱⫍-2702","layer":2},{"info":"↔⪎⋱⫍-2702=⪎⋱⫍-A4","layer":1},{"info":"⪎⋱⫍C4↬⪎⋱⫍-A4=NaN","layer":0}]}
{"id":521,"expression_no_base_symbol":"(↩$3620$⨰$1374$)≭(($7638$/$2284$)↺($5825$≫≃))*($2077$⋳⪒$4010$+$2614$⨟⋌⩍$1002$)≧⫂∧($1254$∼$2760$∲⫓$3298$∀⇚≩$1156$)","expression":"(↩⪎⋱⫍1856⨰⪎⋱⫍819)≭((⪎⋱⫍3627/⪎⋱⫍1069)↺(⪎⋱⫍2861≫≃))*(⪎⋱⫍C3A⋳⪒⪎⋱⫍1A96+⪎⋱⫍1261⨟⋌⩍⪎⋱⫍5C1)≧⫂∧(⪎⋱⫍756∼⪎⋱⫍1344∲⫓⪎⋱⫍1669∀⇚≩⪎⋱⫍6AC)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":23160,"operation_count":14,"complexity_ratio":1654.2857142857142,"tree":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":3620,"base":13},"right_expr":{"type":"numeric_atoms","value":1374,"base":13}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":7638,"base":13},"right_expr":{"type":"numeric_atoms","value":2284,"base":13}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":5825,"base":13}}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2077,"base":13},"right_expr":{"type":"numeric_atoms","value":4010,"base":13}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2614,"base":13},"right_expr":{"type":"numeric_atoms","value":1002,"base":13}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1254,"base":13},"right_expr":{"type":"numeric_atoms","value":2760,"base":13}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":3298,"base":13},"right_expr":{"type":"numeric_atoms","value":1156,"base":13}}}}},"used_operators":["9HNa5Wba9A","rxpJgHHUmx","jLgFTUHLKL","eewbuw0ToL","7j4O788W3g","XhwjNDsVaA","X99M06cbEe","Ph9nP6C5qx","W4YGzv6Whe","12rbrZMWeM","rGHVDoGpnC","i8ToyICDmI","DyGG3AbaNP","LRNGc0VcxI"],"dependent_operators":["W4YGzv6Whe","AHs5Up7iyr","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3620","layer":4},{"info":"number node, value=1374","layer":4},{"info":"compute binary expreesion, left_input=3620, right_input=1374, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=2256","layer":3},{"info":"compute unary expreesion, input=2256, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-15268","layer":2},{"info":"number node, value=7638","layer":4},{"info":"number node, value=2284","layer":4},{"info":"compute binary expreesion, left_input=7638, right_input=2284, op_id = XhwjNDsVaA binary_op_definition= 'None', output=3","layer":3},{"info":"number node, value=5825","layer":4},{"info":"compute unary expreesion, input=5825, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=13051","layer":3},{"info":"compute binary expreesion, left_input=3, right_input=13051, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=13051","layer":2},{"info":"compute binary expreesion, left_input=-15268, right_input=13051, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=2077","layer":4},{"info":"number node, value=4010","layer":4},{"info":"compute binary expreesion, left_input=2077, right_input=4010, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-143","layer":3},{"info":"number node, value=2614","layer":4},{"info":"number node, value=1002","layer":4},{"info":"compute binary expreesion, left_input=2614, right_input=1002, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-143, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=1254","layer":4},{"info":"number node, value=2760","layer":4},{"info":"compute binary expreesion, left_input=1254, right_input=2760, 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=3298","layer":4},{"info":"number node, value=1156","layer":4},{"info":"compute binary expreesion, left_input=3298, right_input=1156, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = 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 = 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 = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":13,"result_base":13,"text":"(↩⪎⋱⫍1856⨰⪎⋱⫍819)≭((⪎⋱⫍3627/⪎⋱⫍1069)↺(⪎⋱⫍2861≫≃))*(⪎⋱⫍C3A⋳⪒⪎⋱⫍1A96+⪎⋱⫍1261⨟⋌⩍⪎⋱⫍5C1)≧⫂∧(⪎⋱⫍756∼⪎⋱⫍1344∲⫓⪎⋱⫍1669∀⇚≩⪎⋱⫍6AC)=NaN","reverse_text":"NaN=(↩⪎⋱⫍1856⨰⪎⋱⫍819)≭((⪎⋱⫍3627/⪎⋱⫍1069)↺(⪎⋱⫍2861≫≃))*(⪎⋱⫍C3A⋳⪒⪎⋱⫍1A96+⪎⋱⫍1261⨟⋌⩍⪎⋱⫍5C1)≧⫂∧(⪎⋱⫍756∼⪎⋱⫍1344∲⫓⪎⋱⫍1669∀⇚≩⪎⋱⫍6AC)","cot":[{"info":"⪎⋱⫍1856⨰⪎⋱⫍819=⪎⋱⫍1047","layer":3},{"info":"↩⪎⋱⫍1047=⪎⋱⫍-6C46","layer":2},{"info":"⪎⋱⫍3627/⪎⋱⫍1069=⪎⋱⫍3","layer":3},{"info":"⪎⋱⫍2861≫≃=⪎⋱⫍5C2C","layer":3},{"info":"⪎⋱⫍3↺⪎⋱⫍5C2C=⪎⋱⫍5C2C","layer":2},{"info":"⪎⋱⫍-6C46≭⪎⋱⫍5C2C=NaN","layer":1},{"info":"⪎⋱⫍C3A⋳⪒⪎⋱⫍1A96=⪎⋱⫍-B0","layer":3},{"info":"⪎⋱⫍1261⨟⋌⩍⪎⋱⫍5C1=NaN","layer":3},{"info":"⪎⋱⫍-B0+NaN=NaN","layer":2},{"info":"⪎⋱⫍756∼⪎⋱⫍1344=NaN","layer":3},{"info":"⪎⋱⫍1669∀⇚≩⪎⋱⫍6AC=NaN","layer":3},{"info":"NaN∲⫓NaN=NaN","layer":2},{"info":"NaN≧⫂∧NaN=NaN","layer":1},{"info":"NaN*NaN=NaN","layer":0}]}
{"id":522,"expression_no_base_symbol":"((($1800$⨸⪁$3176$)⨽(⨑⩽⪐$4057$))∀⇚≩($4048$⨐⩸⫘$4503$≋⫹))⪮%⊝(⨑⩽⪐($1410$∀⇚≩$8383$≣⋋))","expression":"(((⪎⋱⫍A86⨸⪁⪎⋱⫍15A4)⨽(⨑⩽⪐⪎⋱⫍1B01))∀⇚≩(⪎⋱⫍1AC5⨐⩸⫘⪎⋱⫍2085≋⫹))⪮%⊝(⨑⩽⪐(⪎⋱⫍846∀⇚≩⪎⋱⫍3A7B≣⋋))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":19863,"operation_count":10,"complexity_ratio":1986.3,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1800,"base":13},"right_expr":{"type":"numeric_atoms","value":3176,"base":13}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":4057,"base":13}}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":4048,"base":13},"right_expr":{"type":"numeric_atoms","value":4503,"base":13}}}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1410,"base":13},"right_expr":{"type":"numeric_atoms","value":8383,"base":13}}}}},"used_operators":["IWmyXbctLI","LRNGc0VcxI","8HhzD0ZcuI","g55IO6H4Gj","AF7qkfDlqP","N41Kp7NANJ","fu6greOZ01","Tcnh7f0tEr"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","X99M06cbEe","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1800","layer":4},{"info":"number node, value=3176","layer":4},{"info":"compute binary expreesion, left_input=1800, right_input=3176, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=9952","layer":3},{"info":"number node, value=4057","layer":4},{"info":"compute unary expreesion, input=4057, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-3784","layer":3},{"info":"compute binary expreesion, left_input=9952, right_input=-3784, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-297114246","layer":2},{"info":"number node, value=4048","layer":4},{"info":"number node, value=4503","layer":4},{"info":"compute binary expreesion, left_input=4048, right_input=4503, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=-297114246, 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=1410","layer":4},{"info":"number node, value=8383","layer":4},{"info":"compute binary expreesion, left_input=1410, right_input=8383, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=nan","layer":2},{"info":"compute 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 = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(((⪎⋱⫍A86⨸⪁⪎⋱⫍15A4)⨽(⨑⩽⪐⪎⋱⫍1B01))∀⇚≩(⪎⋱⫍1AC5⨐⩸⫘⪎⋱⫍2085≋⫹))⪮%⊝(⨑⩽⪐(⪎⋱⫍846∀⇚≩⪎⋱⫍3A7B≣⋋))=NaN","reverse_text":"NaN=(((⪎⋱⫍A86⨸⪁⪎⋱⫍15A4)⨽(⨑⩽⪐⪎⋱⫍1B01))∀⇚≩(⪎⋱⫍1AC5⨐⩸⫘⪎⋱⫍2085≋⫹))⪮%⊝(⨑⩽⪐(⪎⋱⫍846∀⇚≩⪎⋱⫍3A7B≣⋋))","cot":[{"info":"⪎⋱⫍A86⨸⪁⪎⋱⫍15A4=⪎⋱⫍46B7","layer":3},{"info":"⨑⩽⪐⪎⋱⫍1B01=⪎⋱⫍-1951","layer":3},{"info":"⪎⋱⫍46B7⨽⪎⋱⫍-1951=⪎⋱⫍-4972A460","layer":2},{"info":"⪎⋱⫍1AC5⨐⩸⫘⪎⋱⫍2085=NaN","layer":3},{"info":"NaN≋⫹=NaN","layer":2},{"info":"⪎⋱⫍-4972A460∀⇚≩NaN=NaN","layer":1},{"info":"⪎⋱⫍846∀⇚≩⪎⋱⫍3A7B=NaN","layer":3},{"info":"NaN≣⋋=NaN","layer":2},{"info":"⨑⩽⪐NaN=NaN","layer":1},{"info":"NaN⪮%⊝NaN=NaN","layer":0}]}
{"id":523,"expression_no_base_symbol":"($7387$∲⫓$1546$⫡⨏($6063$⫡⨏$6720$)⨵⪆(≤/$4749$⋓$2306$))⨟⋌⩍((↔$4324$)↙(↯⪼$2770$)⪒((↯⪼$1449$)⊠≄⫣))","expression":"(⪎⋱⫍3493∲⫓⪎⋱⫍91C⫡⨏(⪎⋱⫍29B5⫡⨏⪎⋱⫍309C)⨵⪆(≤/⪎⋱⫍2214⋓⪎⋱⫍1085))⨟⋌⩍((↔⪎⋱⫍1C78)↙(↯⪼⪎⋱⫍1351)⪒((↯⪼⪎⋱⫍876)⊠≄⫣))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":108,"operation_count":13,"complexity_ratio":8.307692307692308,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":7387,"base":13},"right_expr":{"type":"numeric_atoms","value":1546,"base":13}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":6063,"base":13},"right_expr":{"type":"numeric_atoms","value":6720,"base":13}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":4749,"base":13},"right_expr":{"type":"numeric_atoms","value":2306,"base":13}}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":4324,"base":13}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":2770,"base":13}}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1449,"base":13}}}}},"used_operators":["rGHVDoGpnC","2DQ55sFlQl","QMFrweE19q","i8ToyICDmI","eLAdDNolq6","T2fj7uvVaJ","f6k1SAg4EE","yyfyN0ffXY","ruOEQAzv1W","8jW3W4yZS5","DIvbN7qnHd"],"dependent_operators":["Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=7387","layer":4},{"info":"number node, value=1546","layer":4},{"info":"compute binary expreesion, left_input=7387, right_input=1546, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=6063","layer":4},{"info":"number node, value=6720","layer":4},{"info":"compute binary expreesion, left_input=6063, right_input=6720, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=44538","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=44538, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=89859","layer":2},{"info":"number node, value=4749","layer":4},{"info":"number node, value=2306","layer":4},{"info":"compute binary expreesion, left_input=4749, right_input=2306, op_id = T2fj7uvVaJ binary_op_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":"compute binary expreesion, left_input=89859, right_input=484, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=4324","layer":4},{"info":"compute unary expreesion, input=4324, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-4051","layer":3},{"info":"number node, value=2770","layer":4},{"info":"compute unary expreesion, input=2770, 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=-4051, right_input=-21, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-4051","layer":2},{"info":"number node, value=1449","layer":4},{"info":"compute unary expreesion, input=1449, 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 = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-4051, right_input=0, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=4051","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=4051, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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":13,"result_base":13,"text":"(⪎⋱⫍3493∲⫓⪎⋱⫍91C⫡⨏(⪎⋱⫍29B5⫡⨏⪎⋱⫍309C)⨵⪆(≤/⪎⋱⫍2214⋓⪎⋱⫍1085))⨟⋌⩍((↔⪎⋱⫍1C78)↙(↯⪼⪎⋱⫍1351)⪒((↯⪼⪎⋱⫍876)⊠≄⫣))=NaN","reverse_text":"NaN=(⪎⋱⫍3493∲⫓⪎⋱⫍91C⫡⨏(⪎⋱⫍29B5⫡⨏⪎⋱⫍309C)⨵⪆(≤/⪎⋱⫍2214⋓⪎⋱⫍1085))⨟⋌⩍((↔⪎⋱⫍1C78)↙(↯⪼⪎⋱⫍1351)⪒((↯⪼⪎⋱⫍876)⊠≄⫣))","cot":[{"info":"⪎⋱⫍3493∲⫓⪎⋱⫍91C=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍29B5⫡⨏⪎⋱⫍309C=⪎⋱⫍17370","layer":3},{"info":"⪎⋱⫍0⫡⨏⪎⋱⫍17370=⪎⋱⫍31B93","layer":2},{"info":"⪎⋱⫍2214⋓⪎⋱⫍1085=⪎⋱⫍0","layer":3},{"info":"≤/⪎⋱⫍0=⪎⋱⫍2B3","layer":2},{"info":"⪎⋱⫍31B93⨵⪆⪎⋱⫍2B3=⪎⋱⫍C4","layer":1},{"info":"↔⪎⋱⫍1C78=⪎⋱⫍-1AC8","layer":3},{"info":"↯⪼⪎⋱⫍1351=⪎⋱⫍-18","layer":3},{"info":"⪎⋱⫍-1AC8↙⪎⋱⫍-18=⪎⋱⫍-1AC8","layer":2},{"info":"↯⪼⪎⋱⫍876=⪎⋱⫍-18","layer":3},{"info":"⪎⋱⫍-18⊠≄⫣=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍-1AC8⪒⪎⋱⫍0=⪎⋱⫍1AC8","layer":1},{"info":"⪎⋱⫍C4⨟⋌⩍⪎⋱⫍1AC8=NaN","layer":0}]}
{"id":524,"expression_no_base_symbol":"(⫛⫱⨽($2505$∼$5059$↙$1647$⋝⋈⪟$2069$))⪛(((⩦⩻⨪$1049$)↺$4972$⋳⪒$3476$)∼($5320$+⇶⊼$1475$⨸⪁$1767$⨐⩸⫘$1708$))","expression":"(⫛⫱⨽(⪎⋱⫍11A9∼⪎⋱⫍23C2↙⪎⋱⫍999⋝⋈⪟⪎⋱⫍C32))⪛(((⩦⩻⨪⪎⋱⫍629)↺⪎⋱⫍2356⋳⪒⪎⋱⫍1775)∼(⪎⋱⫍2563+⇶⊼⪎⋱⫍896⨸⪁⪎⋱⫍A5C⨐⩸⫘⪎⋱⫍A15))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1111,"operation_count":12,"complexity_ratio":92.58333333333333,"tree":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2505,"base":13},"right_expr":{"type":"numeric_atoms","value":5059,"base":13}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1647,"base":13},"right_expr":{"type":"numeric_atoms","value":2069,"base":13}}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":1049,"base":13}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":4972,"base":13},"right_expr":{"type":"numeric_atoms","value":3476,"base":13}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":5320,"base":13},"right_expr":{"type":"numeric_atoms","value":1475,"base":13}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1767,"base":13},"right_expr":{"type":"numeric_atoms","value":1708,"base":13}}}}},"used_operators":["uFcxV4UQCh","DlLNRPXxWL","yyfyN0ffXY","DyGG3AbaNP","2DDjHMKMc0","7j4O788W3g","2td37pGCOC","12rbrZMWeM","g55IO6H4Gj","TpPTUOHfaN","fu6greOZ01"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rGHVDoGpnC","tmPS8pqC7x","DpFCA1CohY","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","AHs5Up7iyr","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2505","layer":4},{"info":"number node, value=5059","layer":4},{"info":"compute binary expreesion, left_input=2505, right_input=5059, 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=1647","layer":4},{"info":"number node, value=2069","layer":4},{"info":"compute binary expreesion, left_input=1647, right_input=2069, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1647","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1647, 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 = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=nan","layer":1},{"info":"number node, value=1049","layer":4},{"info":"compute unary expreesion, input=1049, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1049","layer":3},{"info":"number node, value=4972","layer":4},{"info":"number node, value=3476","layer":4},{"info":"compute binary expreesion, left_input=4972, right_input=3476, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=6181","layer":3},{"info":"compute binary expreesion, left_input=1049, right_input=6181, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=6181","layer":2},{"info":"number node, value=5320","layer":4},{"info":"number node, value=1475","layer":4},{"info":"compute binary expreesion, left_input=5320, right_input=1475, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=1767","layer":4},{"info":"number node, value=1708","layer":4},{"info":"compute binary expreesion, left_input=1767, right_input=1708, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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 = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=6181, 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 = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⫛⫱⨽(⪎⋱⫍11A9∼⪎⋱⫍23C2↙⪎⋱⫍999⋝⋈⪟⪎⋱⫍C32))⪛(((⩦⩻⨪⪎⋱⫍629)↺⪎⋱⫍2356⋳⪒⪎⋱⫍1775)∼(⪎⋱⫍2563+⇶⊼⪎⋱⫍896⨸⪁⪎⋱⫍A5C⨐⩸⫘⪎⋱⫍A15))=NaN","reverse_text":"NaN=(⫛⫱⨽(⪎⋱⫍11A9∼⪎⋱⫍23C2↙⪎⋱⫍999⋝⋈⪟⪎⋱⫍C32))⪛(((⩦⩻⨪⪎⋱⫍629)↺⪎⋱⫍2356⋳⪒⪎⋱⫍1775)∼(⪎⋱⫍2563+⇶⊼⪎⋱⫍896⨸⪁⪎⋱⫍A5C⨐⩸⫘⪎⋱⫍A15))","cot":[{"info":"⪎⋱⫍11A9∼⪎⋱⫍23C2=NaN","layer":3},{"info":"⪎⋱⫍999⋝⋈⪟⪎⋱⫍C32=⪎⋱⫍999","layer":3},{"info":"NaN↙⪎⋱⫍999=NaN","layer":2},{"info":"⫛⫱⨽NaN=NaN","layer":1},{"info":"⩦⩻⨪⪎⋱⫍629=⪎⋱⫍629","layer":3},{"info":"⪎⋱⫍2356⋳⪒⪎⋱⫍1775=⪎⋱⫍2A76","layer":3},{"info":"⪎⋱⫍629↺⪎⋱⫍2A76=⪎⋱⫍2A76","layer":2},{"info":"⪎⋱⫍2563+⇶⊼⪎⋱⫍896=NaN","layer":3},{"info":"⪎⋱⫍A5C⨐⩸⫘⪎⋱⫍A15=NaN","layer":3},{"info":"NaN⨸⪁NaN=NaN","layer":2},{"info":"⪎⋱⫍2A76∼NaN=NaN","layer":1},{"info":"NaN⪛NaN=NaN","layer":0}]}
{"id":525,"expression_no_base_symbol":"(∂($2510$⋓$1947$))⋥≓≎(($4701$⩤)⊘)⊉≛↸(($1383$∀⇚≩$1882$)↬($1444$⫥∨⫟$5749$)-($2393$⪒$1014$)∲⫓$2918$⪘⫢$2323$)","expression":"(∂(⪎⋱⫍11B1⋓⪎⋱⫍B6A))⋥≓≎((⪎⋱⫍21A8⩤)⊘)⊉≛↸((⪎⋱⫍825∀⇚≩⪎⋱⫍B1A)↬(⪎⋱⫍871⫥∨⫟⪎⋱⫍2803)-(⪎⋱⫍1121⪒⪎⋱⫍600)∲⫓⪎⋱⫍1436⪘⫢⪎⋱⫍1099)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":10315,"operation_count":13,"complexity_ratio":793.4615384615385,"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":2510,"base":13},"right_expr":{"type":"numeric_atoms","value":1947,"base":13}}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":4701,"base":13}}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1383,"base":13},"right_expr":{"type":"numeric_atoms","value":1882,"base":13}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1444,"base":13},"right_expr":{"type":"numeric_atoms","value":5749,"base":13}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2393,"base":13},"right_expr":{"type":"numeric_atoms","value":1014,"base":13}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2918,"base":13},"right_expr":{"type":"numeric_atoms","value":2323,"base":13}}}}},"used_operators":["DZ8iAZOCBD","Qy55tPpLXF","Uaa54Peajs","T2fj7uvVaJ","gu96TGCTMs","Z2TMIBDE3Q","rysDP5nf3Z","B5M0gjZbta","LRNGc0VcxI","KYD54nUTWz","i8ToyICDmI","f6k1SAg4EE","oacrs7FA3X"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","X99M06cbEe","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"⪎⋱⫍365","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2510","layer":4},{"info":"number node, value=1947","layer":4},{"info":"compute binary expreesion, left_input=2510, right_input=1947, op_id = T2fj7uvVaJ binary_op_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=4701","layer":4},{"info":"compute unary expreesion, input=4701, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-4701","layer":3},{"info":"compute unary expreesion, input=-4701, 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=-264, right_input=-1, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=295","layer":1},{"info":"number node, value=1383","layer":4},{"info":"number node, value=1882","layer":4},{"info":"compute binary expreesion, left_input=1383, 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=1444","layer":4},{"info":"number node, value=5749","layer":4},{"info":"compute binary expreesion, left_input=1444, right_input=5749, 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 = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=2393","layer":4},{"info":"number node, value=1014","layer":4},{"info":"compute binary expreesion, left_input=2393, right_input=1014, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-3407","layer":3},{"info":"number node, value=2918","layer":4},{"info":"number node, value=2323","layer":4},{"info":"compute binary expreesion, left_input=2918, right_input=2323, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=5712","layer":3},{"info":"compute binary expreesion, left_input=-3407, right_input=5712, 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 = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=295, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=590","layer":0}],"base":13,"result_base":13,"text":"(∂(⪎⋱⫍11B1⋓⪎⋱⫍B6A))⋥≓≎((⪎⋱⫍21A8⩤)⊘)⊉≛↸((⪎⋱⫍825∀⇚≩⪎⋱⫍B1A)↬(⪎⋱⫍871⫥∨⫟⪎⋱⫍2803)-(⪎⋱⫍1121⪒⪎⋱⫍600)∲⫓⪎⋱⫍1436⪘⫢⪎⋱⫍1099)=⪎⋱⫍365","reverse_text":"⪎⋱⫍365=(∂(⪎⋱⫍11B1⋓⪎⋱⫍B6A))⋥≓≎((⪎⋱⫍21A8⩤)⊘)⊉≛↸((⪎⋱⫍825∀⇚≩⪎⋱⫍B1A)↬(⪎⋱⫍871⫥∨⫟⪎⋱⫍2803)-(⪎⋱⫍1121⪒⪎⋱⫍600)∲⫓⪎⋱⫍1436⪘⫢⪎⋱⫍1099)","cot":[{"info":"⪎⋱⫍11B1⋓⪎⋱⫍B6A=⪎⋱⫍0","layer":3},{"info":"∂⪎⋱⫍0=⪎⋱⫍-174","layer":2},{"info":"⪎⋱⫍21A8⩤=⪎⋱⫍-21A8","layer":3},{"info":"⪎⋱⫍-21A8⊘=⪎⋱⫍-1","layer":2},{"info":"⪎⋱⫍-174⋥≓≎⪎⋱⫍-1=⪎⋱⫍199","layer":1},{"info":"⪎⋱⫍825∀⇚≩⪎⋱⫍B1A=NaN","layer":3},{"info":"⪎⋱⫍871⫥∨⫟⪎⋱⫍2803=NaN","layer":3},{"info":"NaN↬NaN=NaN","layer":2},{"info":"⪎⋱⫍1121⪒⪎⋱⫍600=⪎⋱⫍-1721","layer":3},{"info":"⪎⋱⫍1436⪘⫢⪎⋱⫍1099=⪎⋱⫍27A5","layer":3},{"info":"⪎⋱⫍-1721∲⫓⪎⋱⫍27A5=⪎⋱⫍0","layer":2},{"info":"NaN-⪎⋱⫍0=NaN","layer":1},{"info":"⪎⋱⫍199⊉≛↸NaN=⪎⋱⫍365","layer":0}]}
{"id":526,"expression_no_base_symbol":"-(($8214$+$2413$)↙($1867$/$4738$))∀⇚≩((⊄⩳↩$2066$)∸)","expression":"-((⪎⋱⫍397B+⪎⋱⫍1138)↙(⪎⋱⫍B08/⪎⋱⫍2206))∀⇚≩((⊄⩳↩⪎⋱⫍C2C)∸)","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":188,"operation_count":7,"complexity_ratio":26.857142857142858,"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":8214,"base":13},"right_expr":{"type":"numeric_atoms","value":2413,"base":13}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1867,"base":13},"right_expr":{"type":"numeric_atoms","value":4738,"base":13}}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":2066,"base":13}}}}},"used_operators":["t8gj7n24qd","LRNGc0VcxI","yyfyN0ffXY","W4YGzv6Whe","XhwjNDsVaA","o20kRiQErp","8w2t5hMYqp"],"dependent_operators":["X99M06cbEe","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","tmPS8pqC7x","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍-108","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=8214","layer":4},{"info":"number node, value=2413","layer":4},{"info":"compute binary expreesion, left_input=8214, right_input=2413, op_id = W4YGzv6Whe binary_op_definition= 'None', output=10627","layer":3},{"info":"number node, value=1867","layer":4},{"info":"number node, value=4738","layer":4},{"info":"compute binary expreesion, left_input=1867, right_input=4738, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute binary expreesion, left_input=10627, right_input=0, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=0","layer":2},{"info":"number node, value=2066","layer":4},{"info":"compute unary expreesion, input=2066, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-6198","layer":3},{"info":"compute unary expreesion, input=-6198, 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 = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=177","layer":1},{"info":"compute unary expreesion, input=177, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-177","layer":0}],"base":13,"result_base":13,"text":"-((⪎⋱⫍397B+⪎⋱⫍1138)↙(⪎⋱⫍B08/⪎⋱⫍2206))∀⇚≩((⊄⩳↩⪎⋱⫍C2C)∸)=⪎⋱⫍-108","reverse_text":"⪎⋱⫍-108=-((⪎⋱⫍397B+⪎⋱⫍1138)↙(⪎⋱⫍B08/⪎⋱⫍2206))∀⇚≩((⊄⩳↩⪎⋱⫍C2C)∸)","cot":[{"info":"⪎⋱⫍397B+⪎⋱⫍1138=⪎⋱⫍4AB6","layer":3},{"info":"⪎⋱⫍B08/⪎⋱⫍2206=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍4AB6↙⪎⋱⫍0=⪎⋱⫍0","layer":2},{"info":"⊄⩳↩⪎⋱⫍C2C=⪎⋱⫍-2A8A","layer":3},{"info":"⪎⋱⫍-2A8A∸=⪎⋱⫍108","layer":2},{"info":"⪎⋱⫍0∀⇚≩⪎⋱⫍108=⪎⋱⫍108","layer":1},{"info":"-⪎⋱⫍108=⪎⋱⫍-108","layer":0}]}
{"id":527,"expression_no_base_symbol":"($6061$≹⇙⪍$1647$↙(↯⪼$1764$)*($2303$⪨≂$2674$)⩷∴($4378$⊉≛↸$2484$))⪘⫢((↥(⨞⊢$5803$))≧⫂∧($3579$⨐⩸⫘$2474$)⪢$8765$⊴$2414$)","expression":"(⪎⋱⫍29B3≹⇙⪍⪎⋱⫍999↙(↯⪼⪎⋱⫍A59)*(⪎⋱⫍1082⪨≂⪎⋱⫍12A9)⩷∴(⪎⋱⫍1CBA⊉≛↸⪎⋱⫍1191))⪘⫢((↥(⨞⊢⪎⋱⫍2845))≧⫂∧(⪎⋱⫍1824⨐⩸⫘⪎⋱⫍1184)⪢⪎⋱⫍3CB3⊴⪎⋱⫍1139)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":5126,"operation_count":14,"complexity_ratio":366.14285714285717,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":6061,"base":13},"right_expr":{"type":"numeric_atoms","value":1647,"base":13}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1764,"base":13}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2303,"base":13},"right_expr":{"type":"numeric_atoms","value":2674,"base":13}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":4378,"base":13},"right_expr":{"type":"numeric_atoms","value":2484,"base":13}}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":5803,"base":13}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":3579,"base":13},"right_expr":{"type":"numeric_atoms","value":2474,"base":13}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":8765,"base":13},"right_expr":{"type":"numeric_atoms","value":2414,"base":13}}}}},"used_operators":["oacrs7FA3X","9HNa5Wba9A","yyfyN0ffXY","AHs5Up7iyr","8jW3W4yZS5","9FxExcQeMw","sdazOOVcIp","DZ8iAZOCBD","Ph9nP6C5qx","A8NUZmVepG","xUOZtlo3hN","dWAJyo7jo9","fu6greOZ01","Nsiff2A1zJ"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","tmPS8pqC7x","DpFCA1CohY","dWAJyo7jo9","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","3ViojmjbAp","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=6061","layer":4},{"info":"number node, value=1647","layer":4},{"info":"compute binary expreesion, left_input=6061, right_input=1647, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=1764","layer":4},{"info":"compute unary expreesion, input=1764, 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 = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":2},{"info":"number node, value=2303","layer":4},{"info":"number node, value=2674","layer":4},{"info":"compute binary expreesion, left_input=2303, right_input=2674, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-640","layer":3},{"info":"number node, value=4378","layer":4},{"info":"number node, value=2484","layer":4},{"info":"compute binary expreesion, left_input=4378, right_input=2484, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=8756","layer":3},{"info":"compute binary expreesion, left_input=-640, right_input=8756, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-18824","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-18824, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=5803","layer":4},{"info":"compute unary expreesion, input=5803, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-5977","layer":3},{"info":"compute unary expreesion, input=-5977, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=41","layer":2},{"info":"number node, value=3579","layer":4},{"info":"number node, value=2474","layer":4},{"info":"compute binary expreesion, left_input=3579, right_input=2474, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=8765","layer":4},{"info":"number node, value=2414","layer":4},{"info":"compute binary expreesion, left_input=8765, right_input=2414, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=41, 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 = 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":13,"result_base":13,"text":"(⪎⋱⫍29B3≹⇙⪍⪎⋱⫍999↙(↯⪼⪎⋱⫍A59)*(⪎⋱⫍1082⪨≂⪎⋱⫍12A9)⩷∴(⪎⋱⫍1CBA⊉≛↸⪎⋱⫍1191))⪘⫢((↥(⨞⊢⪎⋱⫍2845))≧⫂∧(⪎⋱⫍1824⨐⩸⫘⪎⋱⫍1184)⪢⪎⋱⫍3CB3⊴⪎⋱⫍1139)=NaN","reverse_text":"NaN=(⪎⋱⫍29B3≹⇙⪍⪎⋱⫍999↙(↯⪼⪎⋱⫍A59)*(⪎⋱⫍1082⪨≂⪎⋱⫍12A9)⩷∴(⪎⋱⫍1CBA⊉≛↸⪎⋱⫍1191))⪘⫢((↥(⨞⊢⪎⋱⫍2845))≧⫂∧(⪎⋱⫍1824⨐⩸⫘⪎⋱⫍1184)⪢⪎⋱⫍3CB3⊴⪎⋱⫍1139)","cot":[{"info":"⪎⋱⫍29B3≹⇙⪍⪎⋱⫍999=NaN","layer":3},{"info":"↯⪼⪎⋱⫍A59=⪎⋱⫍-18","layer":3},{"info":"NaN↙⪎⋱⫍-18=NaN","layer":2},{"info":"⪎⋱⫍1082⪨≂⪎⋱⫍12A9=⪎⋱⫍-3A3","layer":3},{"info":"⪎⋱⫍1CBA⊉≛↸⪎⋱⫍1191=⪎⋱⫍3CA7","layer":3},{"info":"⪎⋱⫍-3A3⩷∴⪎⋱⫍3CA7=⪎⋱⫍-8750","layer":2},{"info":"NaN*⪎⋱⫍-8750=NaN","layer":1},{"info":"⨞⊢⪎⋱⫍2845=⪎⋱⫍-294A","layer":3},{"info":"↥⪎⋱⫍-294A=⪎⋱⫍32","layer":2},{"info":"⪎⋱⫍1824⨐⩸⫘⪎⋱⫍1184=NaN","layer":3},{"info":"⪎⋱⫍3CB3⊴⪎⋱⫍1139=NaN","layer":3},{"info":"NaN⪢NaN=NaN","layer":2},{"info":"⪎⋱⫍32≧⫂∧NaN=NaN","layer":1},{"info":"NaN⪘⫢NaN=NaN","layer":0}]}
{"id":528,"expression_no_base_symbol":"↥($2756$⩷∴$3114$⫡⨏$4518$⨟⋌⩍$1977$)≭(⨈⫕($2322$≫≃))","expression":"↥(⪎⋱⫍1340⩷∴⪎⋱⫍1557⫡⨏⪎⋱⫍2097⨟⋌⩍⪎⋱⫍B91)≭(⨈⫕(⪎⋱⫍1098≫≃))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":912,"operation_count":7,"complexity_ratio":130.28571428571428,"tree":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2756,"base":13},"right_expr":{"type":"numeric_atoms","value":3114,"base":13}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":4518,"base":13},"right_expr":{"type":"numeric_atoms","value":1977,"base":13}}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":2322,"base":13}}}}},"used_operators":["A8NUZmVepG","rxpJgHHUmx","QMFrweE19q","9FxExcQeMw","rGHVDoGpnC","megm06wKyl","X99M06cbEe"],"dependent_operators":["k8jYdgA6NY","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","Tcnh7f0tEr","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2756","layer":4},{"info":"number node, value=3114","layer":4},{"info":"compute binary expreesion, left_input=2756, right_input=3114, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-748","layer":3},{"info":"number node, value=4518","layer":4},{"info":"number node, value=1977","layer":4},{"info":"compute binary expreesion, left_input=4518, right_input=1977, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=-748, 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=2322","layer":4},{"info":"compute unary expreesion, input=2322, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=6045","layer":3},{"info":"compute unary expreesion, input=6045, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-21, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"↥(⪎⋱⫍1340⩷∴⪎⋱⫍1557⫡⨏⪎⋱⫍2097⨟⋌⩍⪎⋱⫍B91)≭(⨈⫕(⪎⋱⫍1098≫≃))=NaN","reverse_text":"NaN=↥(⪎⋱⫍1340⩷∴⪎⋱⫍1557⫡⨏⪎⋱⫍2097⨟⋌⩍⪎⋱⫍B91)≭(⨈⫕(⪎⋱⫍1098≫≃))","cot":[{"info":"⪎⋱⫍1340⩷∴⪎⋱⫍1557=⪎⋱⫍-457","layer":3},{"info":"⪎⋱⫍2097⨟⋌⩍⪎⋱⫍B91=NaN","layer":3},{"info":"⪎⋱⫍-457⫡⨏NaN=NaN","layer":2},{"info":"⪎⋱⫍1098≫≃=⪎⋱⫍29A0","layer":3},{"info":"⨈⫕⪎⋱⫍29A0=⪎⋱⫍-18","layer":2},{"info":"NaN≭⪎⋱⫍-18=NaN","layer":1},{"info":"↥NaN=NaN","layer":0}]}
{"id":529,"expression_no_base_symbol":"((($5215$⊭↱$6322$)↺$4664$⨓$1229$)⨁⊸⫻)⫡⨏(↔($1259$∧)≹⇙⪍($1010$⩤))","expression":"(((⪎⋱⫍24B2⊭↱⪎⋱⫍2B54)↺⪎⋱⫍217A⨓⪎⋱⫍737)⨁⊸⫻)⫡⨏(↔(⪎⋱⫍75B∧)≹⇙⪍(⪎⋱⫍5C9⩤))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1283,"operation_count":9,"complexity_ratio":142.55555555555554,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":5215,"base":13},"right_expr":{"type":"numeric_atoms","value":6322,"base":13}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":4664,"base":13},"right_expr":{"type":"numeric_atoms","value":1229,"base":13}}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":1259,"base":13}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":1010,"base":13}}}}},"used_operators":["QMFrweE19q","glklzrTFfD","7j4O788W3g","COABgblf1C","3ViojmjbAp","ruOEQAzv1W","AHs5Up7iyr","z63VuFQld9","Z2TMIBDE3Q"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","dWAJyo7jo9","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍-54B1","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5215","layer":4},{"info":"number node, value=6322","layer":4},{"info":"compute binary expreesion, left_input=5215, right_input=6322, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=2219","layer":3},{"info":"number node, value=4664","layer":4},{"info":"number node, value=1229","layer":4},{"info":"compute binary expreesion, left_input=4664, right_input=1229, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1232","layer":3},{"info":"compute binary expreesion, left_input=2219, right_input=-1232, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-1232","layer":2},{"info":"compute unary expreesion, input=-1232, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=-2464","layer":1},{"info":"number node, value=1259","layer":4},{"info":"compute unary expreesion, input=1259, 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=1010","layer":4},{"info":"compute unary expreesion, input=1010, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-1010","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1010, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":1},{"info":"compute binary expreesion, left_input=-2464, right_input=-134, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=-11805","layer":0}],"base":13,"result_base":13,"text":"(((⪎⋱⫍24B2⊭↱⪎⋱⫍2B54)↺⪎⋱⫍217A⨓⪎⋱⫍737)⨁⊸⫻)⫡⨏(↔(⪎⋱⫍75B∧)≹⇙⪍(⪎⋱⫍5C9⩤))=⪎⋱⫍-54B1","reverse_text":"⪎⋱⫍-54B1=(((⪎⋱⫍24B2⊭↱⪎⋱⫍2B54)↺⪎⋱⫍217A⨓⪎⋱⫍737)⨁⊸⫻)⫡⨏(↔(⪎⋱⫍75B∧)≹⇙⪍(⪎⋱⫍5C9⩤))","cot":[{"info":"⪎⋱⫍24B2⊭↱⪎⋱⫍2B54=⪎⋱⫍1019","layer":3},{"info":"⪎⋱⫍217A⨓⪎⋱⫍737=⪎⋱⫍-73A","layer":3},{"info":"⪎⋱⫍1019↺⪎⋱⫍-73A=⪎⋱⫍-73A","layer":2},{"info":"⪎⋱⫍-73A⨁⊸⫻=⪎⋱⫍-1177","layer":1},{"info":"⪎⋱⫍75B∧=NaN","layer":3},{"info":"⪎⋱⫍5C9⩤=⪎⋱⫍-5C9","layer":3},{"info":"NaN≹⇙⪍⪎⋱⫍-5C9=NaN","layer":2},{"info":"↔NaN=⪎⋱⫍-A4","layer":1},{"info":"⪎⋱⫍-1177⫡⨏⪎⋱⫍-A4=⪎⋱⫍-54B1","layer":0}]}
{"id":530,"expression_no_base_symbol":"(⩦⩻⨪($1078$≫≃)+⇶⊼($4239$⪠⩆⊳))%($4426$∲⫓$2672$)∀⇚≩(⫛⫱⨽$1446$)⊭↱$1261$+⇶⊼$4060$↙$3885$≭$2182$","expression":"(⩦⩻⨪(⪎⋱⫍64C≫≃)+⇶⊼(⪎⋱⫍1C11⪠⩆⊳))%(⪎⋱⫍2026∲⫓⪎⋱⫍12A7)∀⇚≩(⫛⫱⨽⪎⋱⫍873)⊭↱⪎⋱⫍760+⇶⊼⪎⋱⫍1B04↙⪎⋱⫍19CB≭⪎⋱⫍CBB","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1452,"operation_count":12,"complexity_ratio":121.0,"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":1078,"base":13}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":4239,"base":13}}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":4426,"base":13},"right_expr":{"type":"numeric_atoms","value":2672,"base":13}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":1446,"base":13}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1261,"base":13},"right_expr":{"type":"numeric_atoms","value":4060,"base":13}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":3885,"base":13},"right_expr":{"type":"numeric_atoms","value":2182,"base":13}}}}},"used_operators":["k8jYdgA6NY","2td37pGCOC","TpPTUOHfaN","X99M06cbEe","JLbD19bQDL","COABgblf1C","LRNGc0VcxI","i8ToyICDmI","DlLNRPXxWL","yyfyN0ffXY","rxpJgHHUmx"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","tmPS8pqC7x","DpFCA1CohY","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1078","layer":4},{"info":"compute unary expreesion, input=1078, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=3557","layer":3},{"info":"number node, value=4239","layer":4},{"info":"compute unary expreesion, input=4239, 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=3557, 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 = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=0","layer":1},{"info":"number node, value=4426","layer":4},{"info":"number node, value=2672","layer":4},{"info":"compute binary expreesion, left_input=4426, right_input=2672, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=1446","layer":4},{"info":"compute unary expreesion, input=1446, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=0","layer":2},{"info":"number node, value=1261","layer":4},{"info":"number node, value=4060","layer":4},{"info":"compute binary expreesion, left_input=1261, right_input=4060, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=3885","layer":4},{"info":"number node, value=2182","layer":4},{"info":"compute binary expreesion, left_input=3885, right_input=2182, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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 = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⩦⩻⨪(⪎⋱⫍64C≫≃)+⇶⊼(⪎⋱⫍1C11⪠⩆⊳))%(⪎⋱⫍2026∲⫓⪎⋱⫍12A7)∀⇚≩(⫛⫱⨽⪎⋱⫍873)⊭↱⪎⋱⫍760+⇶⊼⪎⋱⫍1B04↙⪎⋱⫍19CB≭⪎⋱⫍CBB=NaN","reverse_text":"NaN=(⩦⩻⨪(⪎⋱⫍64C≫≃)+⇶⊼(⪎⋱⫍1C11⪠⩆⊳))%(⪎⋱⫍2026∲⫓⪎⋱⫍12A7)∀⇚≩(⫛⫱⨽⪎⋱⫍873)⊭↱⪎⋱⫍760+⇶⊼⪎⋱⫍1B04↙⪎⋱⫍19CB≭⪎⋱⫍CBB","cot":[{"info":"⪎⋱⫍64C≫≃=⪎⋱⫍1808","layer":3},{"info":"⪎⋱⫍1C11⪠⩆⊳=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍1808+⇶⊼⪎⋱⫍0=⪎⋱⫍0","layer":2},{"info":"⩦⩻⨪⪎⋱⫍0=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍2026∲⫓⪎⋱⫍12A7=⪎⋱⫍0","layer":3},{"info":"⫛⫱⨽⪎⋱⫍873=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍0∀⇚≩⪎⋱⫍0=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍760+⇶⊼⪎⋱⫍1B04=NaN","layer":3},{"info":"⪎⋱⫍19CB≭⪎⋱⫍CBB=NaN","layer":3},{"info":"NaN↙NaN=NaN","layer":2},{"info":"⪎⋱⫍0⊭↱NaN=NaN","layer":1},{"info":"⪎⋱⫍0%NaN=NaN","layer":0}]}
{"id":531,"expression_no_base_symbol":"($3538$⨪↰⇹$3706$≧⫂∧($3517$⫩⊇))⪘⫢($1602$+⇶⊼$5229$)∼($4628$⨐⩸⫘$1131$)⨸⪁($5496$⪛$1062$*$2368$+⇶⊼$3400$)⨰(↣≠⋷(↩$2779$))","expression":"(⪎⋱⫍17C2⨪↰⇹⪎⋱⫍18C1≧⫂∧(⪎⋱⫍17A7⫩⊇))⪘⫢(⪎⋱⫍963+⇶⊼⪎⋱⫍24C3)∼(⪎⋱⫍2150⨐⩸⫘⪎⋱⫍690)⨸⪁(⪎⋱⫍266A⪛⪎⋱⫍639*⪎⋱⫍1102+⇶⊼⪎⋱⫍1717)⨰(↣≠⋷(↩⪎⋱⫍135A))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3594,"operation_count":14,"complexity_ratio":256.7142857142857,"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":3538,"base":13},"right_expr":{"type":"numeric_atoms","value":3706,"base":13}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":3517,"base":13}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1602,"base":13},"right_expr":{"type":"numeric_atoms","value":5229,"base":13}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":4628,"base":13},"right_expr":{"type":"numeric_atoms","value":1131,"base":13}}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":5496,"base":13},"right_expr":{"type":"numeric_atoms","value":1062,"base":13}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2368,"base":13},"right_expr":{"type":"numeric_atoms","value":3400,"base":13}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":2779,"base":13}}}}},"used_operators":["g55IO6H4Gj","oacrs7FA3X","Ph9nP6C5qx","tmPS8pqC7x","BjRHVeLaeN","DyGG3AbaNP","TpPTUOHfaN","fu6greOZ01","eewbuw0ToL","9HNa5Wba9A","uFcxV4UQCh","Asc51vEJeQ","jLgFTUHLKL"],"dependent_operators":["W4YGzv6Whe","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","AHs5Up7iyr","3ViojmjbAp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","XhwjNDsVaA","AHs5Up7iyr","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3538","layer":4},{"info":"number node, value=3706","layer":4},{"info":"compute binary expreesion, left_input=3538, right_input=3706, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=3538","layer":3},{"info":"number node, value=3517","layer":4},{"info":"compute unary expreesion, input=3517, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-3475","layer":3},{"info":"compute binary expreesion, left_input=3538, right_input=-3475, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=7013","layer":2},{"info":"number node, value=1602","layer":4},{"info":"number node, value=5229","layer":4},{"info":"compute binary expreesion, left_input=1602, right_input=5229, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=4628","layer":4},{"info":"number node, value=1131","layer":4},{"info":"compute binary expreesion, left_input=4628, right_input=1131, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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":"compute binary expreesion, left_input=7013, 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=5496","layer":4},{"info":"number node, value=1062","layer":4},{"info":"compute binary expreesion, left_input=5496, right_input=1062, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=186","layer":3},{"info":"number node, value=2368","layer":4},{"info":"number node, value=3400","layer":4},{"info":"compute binary expreesion, left_input=2368, right_input=3400, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=186, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=2779","layer":4},{"info":"compute unary expreesion, input=2779, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-19452","layer":3},{"info":"compute unary expreesion, input=-19452, 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 = 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 = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍17C2⨪↰⇹⪎⋱⫍18C1≧⫂∧(⪎⋱⫍17A7⫩⊇))⪘⫢(⪎⋱⫍963+⇶⊼⪎⋱⫍24C3)∼(⪎⋱⫍2150⨐⩸⫘⪎⋱⫍690)⨸⪁(⪎⋱⫍266A⪛⪎⋱⫍639*⪎⋱⫍1102+⇶⊼⪎⋱⫍1717)⨰(↣≠⋷(↩⪎⋱⫍135A))=NaN","reverse_text":"NaN=(⪎⋱⫍17C2⨪↰⇹⪎⋱⫍18C1≧⫂∧(⪎⋱⫍17A7⫩⊇))⪘⫢(⪎⋱⫍963+⇶⊼⪎⋱⫍24C3)∼(⪎⋱⫍2150⨐⩸⫘⪎⋱⫍690)⨸⪁(⪎⋱⫍266A⪛⪎⋱⫍639*⪎⋱⫍1102+⇶⊼⪎⋱⫍1717)⨰(↣≠⋷(↩⪎⋱⫍135A))","cot":[{"info":"⪎⋱⫍17C2⨪↰⇹⪎⋱⫍18C1=⪎⋱⫍17C2","layer":3},{"info":"⪎⋱⫍17A7⫩⊇=⪎⋱⫍-1774","layer":3},{"info":"⪎⋱⫍17C2≧⫂∧⪎⋱⫍-1774=⪎⋱⫍3266","layer":2},{"info":"⪎⋱⫍963+⇶⊼⪎⋱⫍24C3=NaN","layer":3},{"info":"⪎⋱⫍2150⨐⩸⫘⪎⋱⫍690=NaN","layer":3},{"info":"NaN∼NaN=NaN","layer":2},{"info":"⪎⋱⫍3266⪘⫢NaN=NaN","layer":1},{"info":"⪎⋱⫍266A⪛⪎⋱⫍639=⪎⋱⫍114","layer":3},{"info":"⪎⋱⫍1102+⇶⊼⪎⋱⫍1717=NaN","layer":3},{"info":"⪎⋱⫍114*NaN=NaN","layer":2},{"info":"↩⪎⋱⫍135A=⪎⋱⫍-8B14","layer":3},{"info":"↣≠⋷⪎⋱⫍-8B14=NaN","layer":2},{"info":"NaN⨰NaN=NaN","layer":1},{"info":"NaN⨸⪁NaN=NaN","layer":0}]}
{"id":532,"expression_no_base_symbol":"((-$5882$)≧⫂∧($1032$⪨≂$1087$)⪨≂$2639$⋳⪒$6725$⨐⩸⫘(⋗⩬⋾$1122$))⨽(∥⊫$6108$⩷∴$5092$)⊴(($2041$⨁⊸⫻)⪮%⊝($3484$/$2544$))","expression":"((-⪎⋱⫍28A6)≧⫂∧(⪎⋱⫍615⪨≂⪎⋱⫍658)⪨≂⪎⋱⫍1280⋳⪒⪎⋱⫍30A4⨐⩸⫘(⋗⩬⋾⪎⋱⫍684))⨽(∥⊫⪎⋱⫍2A1B⩷∴⪎⋱⫍2419)⊴((⪎⋱⫍C10⨁⊸⫻)⪮%⊝(⪎⋱⫍1780/⪎⋱⫍1209))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4458,"operation_count":14,"complexity_ratio":318.42857142857144,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":5882,"base":13}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1032,"base":13},"right_expr":{"type":"numeric_atoms","value":1087,"base":13}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2639,"base":13},"right_expr":{"type":"numeric_atoms","value":6725,"base":13}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1122,"base":13}}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":6108,"base":13},"right_expr":{"type":"numeric_atoms","value":5092,"base":13}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":2041,"base":13}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":3484,"base":13},"right_expr":{"type":"numeric_atoms","value":2544,"base":13}}}}},"used_operators":["8HhzD0ZcuI","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","fu6greOZ01","12rbrZMWeM","DpFCA1CohY","Nsiff2A1zJ","P8v4zCKN1o","9FxExcQeMw","IWmyXbctLI","glklzrTFfD","XhwjNDsVaA"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5882","layer":4},{"info":"compute unary expreesion, input=5882, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-5882","layer":3},{"info":"number node, value=1032","layer":4},{"info":"number node, value=1087","layer":4},{"info":"compute binary expreesion, left_input=1032, right_input=1087, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-8","layer":3},{"info":"compute binary expreesion, left_input=-5882, right_input=-8, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-481","layer":2},{"info":"number node, value=2639","layer":4},{"info":"number node, value=6725","layer":4},{"info":"compute binary expreesion, left_input=2639, right_input=6725, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-1734","layer":3},{"info":"number node, value=1122","layer":4},{"info":"compute unary expreesion, input=1122, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-3366","layer":3},{"info":"compute binary expreesion, left_input=-1734, right_input=-3366, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=-481, 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=6108","layer":4},{"info":"number node, value=5092","layer":4},{"info":"compute binary expreesion, left_input=6108, right_input=5092, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=2000","layer":3},{"info":"compute unary expreesion, input=2000, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2868","layer":2},{"info":"number node, value=2041","layer":4},{"info":"compute unary expreesion, input=2041, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=2041","layer":3},{"info":"number node, value=3484","layer":4},{"info":"number node, value=2544","layer":4},{"info":"compute binary expreesion, left_input=3484, right_input=2544, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"compute binary expreesion, left_input=2041, right_input=1, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=4398","layer":2},{"info":"compute binary expreesion, left_input=2868, right_input=4398, 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 = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((-⪎⋱⫍28A6)≧⫂∧(⪎⋱⫍615⪨≂⪎⋱⫍658)⪨≂⪎⋱⫍1280⋳⪒⪎⋱⫍30A4⨐⩸⫘(⋗⩬⋾⪎⋱⫍684))⨽(∥⊫⪎⋱⫍2A1B⩷∴⪎⋱⫍2419)⊴((⪎⋱⫍C10⨁⊸⫻)⪮%⊝(⪎⋱⫍1780/⪎⋱⫍1209))=NaN","reverse_text":"NaN=((-⪎⋱⫍28A6)≧⫂∧(⪎⋱⫍615⪨≂⪎⋱⫍658)⪨≂⪎⋱⫍1280⋳⪒⪎⋱⫍30A4⨐⩸⫘(⋗⩬⋾⪎⋱⫍684))⨽(∥⊫⪎⋱⫍2A1B⩷∴⪎⋱⫍2419)⊴((⪎⋱⫍C10⨁⊸⫻)⪮%⊝(⪎⋱⫍1780/⪎⋱⫍1209))","cot":[{"info":"-⪎⋱⫍28A6=⪎⋱⫍-28A6","layer":3},{"info":"⪎⋱⫍615⪨≂⪎⋱⫍658=⪎⋱⫍-8","layer":3},{"info":"⪎⋱⫍-28A6≧⫂∧⪎⋱⫍-8=⪎⋱⫍-2B0","layer":2},{"info":"⪎⋱⫍1280⋳⪒⪎⋱⫍30A4=⪎⋱⫍-A35","layer":3},{"info":"⋗⩬⋾⪎⋱⫍684=⪎⋱⫍-16BC","layer":3},{"info":"⪎⋱⫍-A35⨐⩸⫘⪎⋱⫍-16BC=NaN","layer":2},{"info":"⪎⋱⫍-2B0⪨≂NaN=NaN","layer":1},{"info":"⪎⋱⫍2A1B⩷∴⪎⋱⫍2419=⪎⋱⫍BAB","layer":3},{"info":"∥⊫⪎⋱⫍BAB=⪎⋱⫍13C8","layer":2},{"info":"⪎⋱⫍C10⨁⊸⫻=⪎⋱⫍C10","layer":3},{"info":"⪎⋱⫍1780/⪎⋱⫍1209=⪎⋱⫍1","layer":3},{"info":"⪎⋱⫍C10⪮%⊝⪎⋱⫍1=⪎⋱⫍2004","layer":2},{"info":"⪎⋱⫍13C8⊴⪎⋱⫍2004=NaN","layer":1},{"info":"NaN⨽NaN=NaN","layer":0}]}
{"id":533,"expression_no_base_symbol":"(($6925$⊪)⩷∴($4375$⊠≄⫣)⨎(⩦⩻⨪$2567$)∑⇟⊟$2956$⪛$9676$)⨪↰⇹((⨰⫟⨤$1284$⨪↰⇹$1208$)⨸⪁(⊄⩳↩$2111$)⋝⋈⪟(⪲⇎$2240$))","expression":"((⪎⋱⫍31C9⊪)⩷∴(⪎⋱⫍1CB7⊠≄⫣)⨎(⩦⩻⨪⪎⋱⫍1226)∑⇟⊟⪎⋱⫍1465⪛⪎⋱⫍4534)⨪↰⇹((⨰⫟⨤⪎⋱⫍77A⨪↰⇹⪎⋱⫍71C)⨸⪁(⊄⩳↩⪎⋱⫍C65)⋝⋈⪟(⪲⇎⪎⋱⫍1034))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":5643,"operation_count":14,"complexity_ratio":403.07142857142856,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":6925,"base":13}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":4375,"base":13}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":2567,"base":13}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2956,"base":13},"right_expr":{"type":"numeric_atoms","value":9676,"base":13}}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1284,"base":13},"right_expr":{"type":"numeric_atoms","value":1208,"base":13}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":2111,"base":13}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":2240,"base":13}}}}},"used_operators":["tmPS8pqC7x","rJVOvQCfKK","9FxExcQeMw","zVYPLywUTj","DIvbN7qnHd","U7g4x0WXJJ","2td37pGCOC","uFcxV4UQCh","g55IO6H4Gj","Tw270M8GLb","2DDjHMKMc0","8w2t5hMYqp","XPYlsWDdGa"],"dependent_operators":["rJVOvQCfKK","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=6925","layer":4},{"info":"compute unary expreesion, input=6925, 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=4375","layer":4},{"info":"compute unary expreesion, input=4375, op_id = DIvbN7qnHd, unary_op_definition = '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":"number node, value=2567","layer":4},{"info":"compute unary expreesion, input=2567, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=2567","layer":3},{"info":"number node, value=2956","layer":4},{"info":"number node, value=9676","layer":4},{"info":"compute binary expreesion, left_input=2956, right_input=9676, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2956","layer":3},{"info":"compute binary expreesion, left_input=2567, right_input=2956, 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=-32, 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=1284","layer":4},{"info":"number node, value=1208","layer":4},{"info":"compute binary expreesion, left_input=1284, right_input=1208, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1284","layer":3},{"info":"compute unary expreesion, input=1284, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":2},{"info":"number node, value=2111","layer":4},{"info":"compute unary expreesion, input=2111, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-6333","layer":3},{"info":"number node, value=2240","layer":4},{"info":"compute unary expreesion, input=2240, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=4480","layer":3},{"info":"compute binary expreesion, left_input=-6333, right_input=4480, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-6333","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-6333, 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 = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((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":13,"result_base":13,"text":"((⪎⋱⫍31C9⊪)⩷∴(⪎⋱⫍1CB7⊠≄⫣)⨎(⩦⩻⨪⪎⋱⫍1226)∑⇟⊟⪎⋱⫍1465⪛⪎⋱⫍4534)⨪↰⇹((⨰⫟⨤⪎⋱⫍77A⨪↰⇹⪎⋱⫍71C)⨸⪁(⊄⩳↩⪎⋱⫍C65)⋝⋈⪟(⪲⇎⪎⋱⫍1034))=NaN","reverse_text":"NaN=((⪎⋱⫍31C9⊪)⩷∴(⪎⋱⫍1CB7⊠≄⫣)⨎(⩦⩻⨪⪎⋱⫍1226)∑⇟⊟⪎⋱⫍1465⪛⪎⋱⫍4534)⨪↰⇹((⨰⫟⨤⪎⋱⫍77A⨪↰⇹⪎⋱⫍71C)⨸⪁(⊄⩳↩⪎⋱⫍C65)⋝⋈⪟(⪲⇎⪎⋱⫍1034))","cot":[{"info":"⪎⋱⫍31C9⊪=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍1CB7⊠≄⫣=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍0⩷∴⪎⋱⫍0=⪎⋱⫍-26","layer":2},{"info":"⩦⩻⨪⪎⋱⫍1226=⪎⋱⫍1226","layer":3},{"info":"⪎⋱⫍1465⪛⪎⋱⫍4534=⪎⋱⫍1465","layer":3},{"info":"⪎⋱⫍1226∑⇟⊟⪎⋱⫍1465=NaN","layer":2},{"info":"⪎⋱⫍-26⨎NaN=NaN","layer":1},{"info":"⪎⋱⫍77A⨪↰⇹⪎⋱⫍71C=⪎⋱⫍77A","layer":3},{"info":"⨰⫟⨤⪎⋱⫍77A=NaN","layer":2},{"info":"⊄⩳↩⪎⋱⫍C65=⪎⋱⫍-2B62","layer":3},{"info":"⪲⇎⪎⋱⫍1034=⪎⋱⫍2068","layer":3},{"info":"⪎⋱⫍-2B62⋝⋈⪟⪎⋱⫍2068=⪎⋱⫍-2B62","layer":2},{"info":"NaN⨸⪁⪎⋱⫍-2B62=NaN","layer":1},{"info":"NaN⨪↰⇹NaN=NaN","layer":0}]}
{"id":534,"expression_no_base_symbol":"≦∁($4522$⪘⫢$2138$)⪛($3794$∼$1938$)⫥∨⫟((⨞⊢$2966$)/(-$3038$))","expression":"≦∁(⪎⋱⫍209B⪘⫢⪎⋱⫍C86)⪛(⪎⋱⫍195B∼⪎⋱⫍B61)⫥∨⫟((⨞⊢⪎⋱⫍1472)/(-⪎⋱⫍14C9))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":254,"operation_count":8,"complexity_ratio":31.75,"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":4522,"base":13},"right_expr":{"type":"numeric_atoms","value":2138,"base":13}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":3794,"base":13},"right_expr":{"type":"numeric_atoms","value":1938,"base":13}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":2966,"base":13}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":3038,"base":13}}}}},"used_operators":["9ICcGScMcE","KYD54nUTWz","uFcxV4UQCh","oacrs7FA3X","DyGG3AbaNP","XhwjNDsVaA","xUOZtlo3hN","t8gj7n24qd"],"dependent_operators":["XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","8HhzD0ZcuI","rGHVDoGpnC","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4522","layer":4},{"info":"number node, value=2138","layer":4},{"info":"compute binary expreesion, left_input=4522, right_input=2138, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=8920","layer":3},{"info":"number node, value=3794","layer":4},{"info":"number node, value=1938","layer":4},{"info":"compute binary expreesion, left_input=3794, right_input=1938, 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=8920, 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=2966","layer":4},{"info":"compute unary expreesion, input=2966, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-3140","layer":3},{"info":"number node, value=3038","layer":4},{"info":"compute unary expreesion, input=3038, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-3038","layer":3},{"info":"compute binary expreesion, left_input=-3140, right_input=-3038, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽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":13,"result_base":13,"text":"≦∁(⪎⋱⫍209B⪘⫢⪎⋱⫍C86)⪛(⪎⋱⫍195B∼⪎⋱⫍B61)⫥∨⫟((⨞⊢⪎⋱⫍1472)/(-⪎⋱⫍14C9))=NaN","reverse_text":"NaN=≦∁(⪎⋱⫍209B⪘⫢⪎⋱⫍C86)⪛(⪎⋱⫍195B∼⪎⋱⫍B61)⫥∨⫟((⨞⊢⪎⋱⫍1472)/(-⪎⋱⫍14C9))","cot":[{"info":"⪎⋱⫍209B⪘⫢⪎⋱⫍C86=⪎⋱⫍40A2","layer":3},{"info":"⪎⋱⫍195B∼⪎⋱⫍B61=NaN","layer":3},{"info":"⪎⋱⫍40A2⪛NaN=NaN","layer":2},{"info":"⨞⊢⪎⋱⫍1472=⪎⋱⫍-1577","layer":3},{"info":"-⪎⋱⫍14C9=⪎⋱⫍-14C9","layer":3},{"info":"⪎⋱⫍-1577/⪎⋱⫍-14C9=⪎⋱⫍1","layer":2},{"info":"NaN⫥∨⫟⪎⋱⫍1=NaN","layer":1},{"info":"≦∁NaN=NaN","layer":0}]}
{"id":535,"expression_no_base_symbol":"⊙↵-((($1745$⫩⊇)∲⫓($1222$⪨≂$2990$))⋥≓≎($2039$*$5380$)≎⊠⪸($6315$⫌⩹⨱))","expression":"⊙↵-(((⪎⋱⫍A43⫩⊇)∲⫓(⪎⋱⫍730⪨≂⪎⋱⫍1490))⋥≓≎(⪎⋱⫍C0B*⪎⋱⫍25AB)≎⊠⪸(⪎⋱⫍2B4A⫌⩹⨱))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2419,"operation_count":8,"complexity_ratio":302.375,"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":1745,"base":13}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1222,"base":13},"right_expr":{"type":"numeric_atoms","value":2990,"base":13}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2039,"base":13},"right_expr":{"type":"numeric_atoms","value":5380,"base":13}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":6315,"base":13}}}}},"used_operators":["oWn0xqSxBt","Qy55tPpLXF","i8ToyICDmI","BjRHVeLaeN","sdazOOVcIp","bJkvcejdHO","9HNa5Wba9A","EBcxylXtPf"],"dependent_operators":["dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1745","layer":4},{"info":"compute unary expreesion, input=1745, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-1703","layer":3},{"info":"number node, value=1222","layer":4},{"info":"number node, value=2990","layer":4},{"info":"compute binary expreesion, left_input=1222, right_input=2990, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-3434","layer":3},{"info":"compute binary expreesion, left_input=-1703, right_input=-3434, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=-1703","layer":2},{"info":"number node, value=2039","layer":4},{"info":"number node, value=5380","layer":4},{"info":"compute binary expreesion, left_input=2039, right_input=5380, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=10969820","layer":3},{"info":"number node, value=6315","layer":4},{"info":"compute unary expreesion, input=6315, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=14031","layer":3},{"info":"compute binary expreesion, left_input=10969820, right_input=14031, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=inf","layer":2},{"info":"compute binary expreesion, left_input=-1703, right_input=inf, 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 = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=0","layer":0}],"base":13,"result_base":13,"text":"⊙↵-(((⪎⋱⫍A43⫩⊇)∲⫓(⪎⋱⫍730⪨≂⪎⋱⫍1490))⋥≓≎(⪎⋱⫍C0B*⪎⋱⫍25AB)≎⊠⪸(⪎⋱⫍2B4A⫌⩹⨱))=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=⊙↵-(((⪎⋱⫍A43⫩⊇)∲⫓(⪎⋱⫍730⪨≂⪎⋱⫍1490))⋥≓≎(⪎⋱⫍C0B*⪎⋱⫍25AB)≎⊠⪸(⪎⋱⫍2B4A⫌⩹⨱))","cot":[{"info":"⪎⋱⫍A43⫩⊇=⪎⋱⫍-A10","layer":3},{"info":"⪎⋱⫍730⪨≂⪎⋱⫍1490=⪎⋱⫍-1742","layer":3},{"info":"⪎⋱⫍-A10∲⫓⪎⋱⫍-1742=⪎⋱⫍-A10","layer":2},{"info":"⪎⋱⫍C0B*⪎⋱⫍25AB=⪎⋱⫍2371124","layer":3},{"info":"⪎⋱⫍2B4A⫌⩹⨱=⪎⋱⫍6504","layer":3},{"info":"⪎⋱⫍2371124≎⊠⪸⪎⋱⫍6504=Inf","layer":2},{"info":"⪎⋱⫍-A10⋥≓≎Inf=⪎⋱⫍52","layer":1},{"info":"⊙↵-⪎⋱⫍52=⪎⋱⫍0","layer":0}]}
{"id":536,"expression_no_base_symbol":"(⇁⨣⪵($6595$⪨≂$3383$))⪢(↣≠⋷(⩦⩻⨪$3413$))⨰($1232$⪘⫢$1944$⋷$1572$*$8224$)⇷(⨵≀≌($3958$*$1283$))","expression":"(⇁⨣⪵(⪎⋱⫍3004⪨≂⪎⋱⫍1703))⪢(↣≠⋷(⩦⩻⨪⪎⋱⫍1727))⨰(⪎⋱⫍73A⪘⫢⪎⋱⫍B67⋷⪎⋱⫍93C*⪎⋱⫍3988)⇷(⨵≀≌(⪎⋱⫍1A56*⪎⋱⫍779))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2904,"operation_count":12,"complexity_ratio":242.0,"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":6595,"base":13},"right_expr":{"type":"numeric_atoms","value":3383,"base":13}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":3413,"base":13}}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1232,"base":13},"right_expr":{"type":"numeric_atoms","value":1944,"base":13}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1572,"base":13},"right_expr":{"type":"numeric_atoms","value":8224,"base":13}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":3958,"base":13},"right_expr":{"type":"numeric_atoms","value":1283,"base":13}}}}},"used_operators":["eewbuw0ToL","dWAJyo7jo9","inkyxCbjAn","sdazOOVcIp","Asc51vEJeQ","2td37pGCOC","mp7IySMOzn","23Mk6UjR3U","oacrs7FA3X","9HNa5Wba9A","srAu1WTS94"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","B5M0gjZbta","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=6595","layer":4},{"info":"number node, value=3383","layer":4},{"info":"compute binary expreesion, left_input=6595, right_input=3383, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=6526","layer":3},{"info":"compute unary expreesion, input=6526, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"number node, value=3413","layer":4},{"info":"compute unary expreesion, input=3413, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=3413","layer":3},{"info":"compute unary expreesion, input=3413, 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 = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=1232","layer":4},{"info":"number node, value=1944","layer":4},{"info":"compute binary expreesion, left_input=1232, right_input=1944, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2340","layer":3},{"info":"number node, value=1572","layer":4},{"info":"number node, value=8224","layer":4},{"info":"compute binary expreesion, left_input=1572, right_input=8224, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=12928128","layer":3},{"info":"compute binary expreesion, left_input=2340, right_input=12928128, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=25853916","layer":2},{"info":"number node, value=3958","layer":4},{"info":"number node, value=1283","layer":4},{"info":"compute binary expreesion, left_input=3958, right_input=1283, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=5078114","layer":3},{"info":"compute unary expreesion, input=5078114, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-15234342","layer":2},{"info":"compute binary expreesion, left_input=25853916, right_input=-15234342, 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":13,"result_base":13,"text":"(⇁⨣⪵(⪎⋱⫍3004⪨≂⪎⋱⫍1703))⪢(↣≠⋷(⩦⩻⨪⪎⋱⫍1727))⨰(⪎⋱⫍73A⪘⫢⪎⋱⫍B67⋷⪎⋱⫍93C*⪎⋱⫍3988)⇷(⨵≀≌(⪎⋱⫍1A56*⪎⋱⫍779))=NaN","reverse_text":"NaN=(⇁⨣⪵(⪎⋱⫍3004⪨≂⪎⋱⫍1703))⪢(↣≠⋷(⩦⩻⨪⪎⋱⫍1727))⨰(⪎⋱⫍73A⪘⫢⪎⋱⫍B67⋷⪎⋱⫍93C*⪎⋱⫍3988)⇷(⨵≀≌(⪎⋱⫍1A56*⪎⋱⫍779))","cot":[{"info":"⪎⋱⫍3004⪨≂⪎⋱⫍1703=⪎⋱⫍2C80","layer":3},{"info":"⇁⨣⪵⪎⋱⫍2C80=NaN","layer":2},{"info":"⩦⩻⨪⪎⋱⫍1727=⪎⋱⫍1727","layer":3},{"info":"↣≠⋷⪎⋱⫍1727=NaN","layer":2},{"info":"NaN⪢NaN=NaN","layer":1},{"info":"⪎⋱⫍73A⪘⫢⪎⋱⫍B67=⪎⋱⫍10B0","layer":3},{"info":"⪎⋱⫍93C*⪎⋱⫍3988=⪎⋱⫍28A85A5","layer":3},{"info":"⪎⋱⫍10B0⋷⪎⋱⫍28A85A5=⪎⋱⫍5482A9A","layer":2},{"info":"⪎⋱⫍1A56*⪎⋱⫍779=⪎⋱⫍108A502","layer":3},{"info":"⨵≀≌⪎⋱⫍108A502=⪎⋱⫍-3205206","layer":2},{"info":"⪎⋱⫍5482A9A⇷⪎⋱⫍-3205206=NaN","layer":1},{"info":"NaN⨰NaN=NaN","layer":0}]}
{"id":537,"expression_no_base_symbol":"((⨑⩽⪐$5651$)⇼⇔∾($1234$≫≃))∼((⪲⇎$5615$)⨰(⪝⪂⫅$1364$))-(($8133$⇋≉)↺$2399$≧⫂∧$5978$)⪢(($5977$%$3531$)↬($5831$∧))","expression":"((⨑⩽⪐⪎⋱⫍2759)⇼⇔∾(⪎⋱⫍73C≫≃))∼((⪲⇎⪎⋱⫍272C)⨰(⪝⪂⫅⪎⋱⫍80C))-((⪎⋱⫍3918⇋≉)↺⪎⋱⫍1127≧⫂∧⪎⋱⫍294B)⪢((⪎⋱⫍294A%⪎⋱⫍17B8)↬(⪎⋱⫍2867∧))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":370,"operation_count":15,"complexity_ratio":24.666666666666668,"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":5651,"base":13}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":1234,"base":13}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":5615,"base":13}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":1364,"base":13}}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":8133,"base":13}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2399,"base":13},"right_expr":{"type":"numeric_atoms","value":5978,"base":13}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":5977,"base":13},"right_expr":{"type":"numeric_atoms","value":3531,"base":13}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":5831,"base":13}}}}},"used_operators":["rysDP5nf3Z","DyGG3AbaNP","tifHPKVTfV","AF7qkfDlqP","X99M06cbEe","eewbuw0ToL","XPYlsWDdGa","XTarYq4gQB","dWAJyo7jo9","7j4O788W3g","XIabStNQrY","Ph9nP6C5qx","B5M0gjZbta","k8jYdgA6NY","z63VuFQld9"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","rysDP5nf3Z","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5651","layer":4},{"info":"compute unary expreesion, input=5651, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-5378","layer":3},{"info":"number node, value=1234","layer":4},{"info":"compute unary expreesion, input=1234, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=3869","layer":3},{"info":"compute binary expreesion, left_input=-5378, right_input=3869, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=9247","layer":2},{"info":"number node, value=5615","layer":4},{"info":"compute unary expreesion, input=5615, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=11230","layer":3},{"info":"number node, value=1364","layer":4},{"info":"compute unary expreesion, input=1364, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-200508","layer":3},{"info":"compute binary expreesion, left_input=11230, right_input=-200508, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=211748","layer":2},{"info":"compute binary expreesion, left_input=9247, right_input=211748, 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=8133","layer":4},{"info":"compute unary expreesion, input=8133, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=16168","layer":3},{"info":"number node, value=2399","layer":4},{"info":"number node, value=5978","layer":4},{"info":"compute binary expreesion, left_input=2399, right_input=5978, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=5505","layer":3},{"info":"compute binary expreesion, left_input=16168, right_input=5505, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=5505","layer":2},{"info":"number node, value=5977","layer":4},{"info":"number node, value=3531","layer":4},{"info":"compute binary expreesion, left_input=5977, right_input=3531, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2446","layer":3},{"info":"number node, value=5831","layer":4},{"info":"compute unary expreesion, input=5831, 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=2446, 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=5505, 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 = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⨑⩽⪐⪎⋱⫍2759)⇼⇔∾(⪎⋱⫍73C≫≃))∼((⪲⇎⪎⋱⫍272C)⨰(⪝⪂⫅⪎⋱⫍80C))-((⪎⋱⫍3918⇋≉)↺⪎⋱⫍1127≧⫂∧⪎⋱⫍294B)⪢((⪎⋱⫍294A%⪎⋱⫍17B8)↬(⪎⋱⫍2867∧))=NaN","reverse_text":"NaN=((⨑⩽⪐⪎⋱⫍2759)⇼⇔∾(⪎⋱⫍73C≫≃))∼((⪲⇎⪎⋱⫍272C)⨰(⪝⪂⫅⪎⋱⫍80C))-((⪎⋱⫍3918⇋≉)↺⪎⋱⫍1127≧⫂∧⪎⋱⫍294B)⪢((⪎⋱⫍294A%⪎⋱⫍17B8)↬(⪎⋱⫍2867∧))","cot":[{"info":"⨑⩽⪐⪎⋱⫍2759=⪎⋱⫍-25A9","layer":3},{"info":"⪎⋱⫍73C≫≃=⪎⋱⫍19B8","layer":3},{"info":"⪎⋱⫍-25A9⇼⇔∾⪎⋱⫍19B8=⪎⋱⫍4294","layer":2},{"info":"⪲⇎⪎⋱⫍272C=⪎⋱⫍515B","layer":3},{"info":"⪝⪂⫅⪎⋱⫍80C=⪎⋱⫍-70359","layer":3},{"info":"⪎⋱⫍515B⨰⪎⋱⫍-70359=⪎⋱⫍754C4","layer":2},{"info":"⪎⋱⫍4294∼⪎⋱⫍754C4=NaN","layer":1},{"info":"⪎⋱⫍3918⇋≉=⪎⋱⫍7489","layer":3},{"info":"⪎⋱⫍1127≧⫂∧⪎⋱⫍294B=⪎⋱⫍2676","layer":3},{"info":"⪎⋱⫍7489↺⪎⋱⫍2676=⪎⋱⫍2676","layer":2},{"info":"⪎⋱⫍294A%⪎⋱⫍17B8=⪎⋱⫍1162","layer":3},{"info":"⪎⋱⫍2867∧=NaN","layer":3},{"info":"⪎⋱⫍1162↬NaN=NaN","layer":2},{"info":"⪎⋱⫍2676⪢NaN=NaN","layer":1},{"info":"NaN-NaN=NaN","layer":0}]}
{"id":538,"expression_no_base_symbol":"(($1142$⨵⪆$7104$)↺$1645$∑⇟⊟$5917$⨵⪆(+⊝⨔($1639$↬$5516$)))≎⊠⪸(((-$6815$)-($7332$⇋≉))≭($1860$↬$3645$≎⊠⪸($3211$⪠⩆⊳)))","expression":"((⪎⋱⫍69B⨵⪆⪎⋱⫍3306)↺⪎⋱⫍997∑⇟⊟⪎⋱⫍2902⨵⪆(+⊝⨔(⪎⋱⫍991↬⪎⋱⫍2684)))≎⊠⪸(((-⪎⋱⫍3143)-(⪎⋱⫍3450⇋≉))≭(⪎⋱⫍B01↬⪎⋱⫍1875≎⊠⪸(⪎⋱⫍1600⪠⩆⊳)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":62,"operation_count":14,"complexity_ratio":4.428571428571429,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1142,"base":13},"right_expr":{"type":"numeric_atoms","value":7104,"base":13}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1645,"base":13},"right_expr":{"type":"numeric_atoms","value":5917,"base":13}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1639,"base":13},"right_expr":{"type":"numeric_atoms","value":5516,"base":13}}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":6815,"base":13}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":7332,"base":13}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1860,"base":13},"right_expr":{"type":"numeric_atoms","value":3645,"base":13}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":3211,"base":13}}}}},"used_operators":["bJkvcejdHO","2DQ55sFlQl","7j4O788W3g","U7g4x0WXJJ","DhbWaqg5eL","B5M0gjZbta","rxpJgHHUmx","rysDP5nf3Z","t8gj7n24qd","XIabStNQrY","JLbD19bQDL"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rGHVDoGpnC","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍52","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1142","layer":4},{"info":"number node, value=7104","layer":4},{"info":"compute binary expreesion, left_input=1142, right_input=7104, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=1645","layer":4},{"info":"number node, value=5917","layer":4},{"info":"compute binary expreesion, left_input=1645, right_input=5917, 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 = 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=1639","layer":4},{"info":"number node, value=5516","layer":4},{"info":"compute binary expreesion, left_input=1639, right_input=5516, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=nan, right_input=1522, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=6815","layer":4},{"info":"compute unary expreesion, input=6815, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-6815","layer":3},{"info":"number node, value=7332","layer":4},{"info":"compute unary expreesion, input=7332, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=14566","layer":3},{"info":"compute binary expreesion, left_input=-6815, right_input=14566, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-21381","layer":2},{"info":"number node, value=1860","layer":4},{"info":"number node, value=3645","layer":4},{"info":"compute binary expreesion, left_input=1860, right_input=3645, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=3211","layer":4},{"info":"compute unary expreesion, input=3211, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 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=-21381, 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=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":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍69B⨵⪆⪎⋱⫍3306)↺⪎⋱⫍997∑⇟⊟⪎⋱⫍2902⨵⪆(+⊝⨔(⪎⋱⫍991↬⪎⋱⫍2684)))≎⊠⪸(((-⪎⋱⫍3143)-(⪎⋱⫍3450⇋≉))≭(⪎⋱⫍B01↬⪎⋱⫍1875≎⊠⪸(⪎⋱⫍1600⪠⩆⊳)))=⪎⋱⫍52","reverse_text":"⪎⋱⫍52=((⪎⋱⫍69B⨵⪆⪎⋱⫍3306)↺⪎⋱⫍997∑⇟⊟⪎⋱⫍2902⨵⪆(+⊝⨔(⪎⋱⫍991↬⪎⋱⫍2684)))≎⊠⪸(((-⪎⋱⫍3143)-(⪎⋱⫍3450⇋≉))≭(⪎⋱⫍B01↬⪎⋱⫍1875≎⊠⪸(⪎⋱⫍1600⪠⩆⊳)))","cot":[{"info":"⪎⋱⫍69B⨵⪆⪎⋱⫍3306=⪎⋱⫍C4","layer":3},{"info":"⪎⋱⫍997∑⇟⊟⪎⋱⫍2902=NaN","layer":3},{"info":"⪎⋱⫍C4↺NaN=NaN","layer":2},{"info":"⪎⋱⫍991↬⪎⋱⫍2684=NaN","layer":3},{"info":"+⊝⨔NaN=⪎⋱⫍901","layer":2},{"info":"NaN⨵⪆⪎⋱⫍901=⪎⋱⫍C4","layer":1},{"info":"-⪎⋱⫍3143=⪎⋱⫍-3143","layer":3},{"info":"⪎⋱⫍3450⇋≉=⪎⋱⫍6826","layer":3},{"info":"⪎⋱⫍-3143-⪎⋱⫍6826=⪎⋱⫍-9969","layer":2},{"info":"⪎⋱⫍B01↬⪎⋱⫍1875=NaN","layer":3},{"info":"⪎⋱⫍1600⪠⩆⊳=⪎⋱⫍0","layer":3},{"info":"NaN≎⊠⪸⪎⋱⫍0=NaN","layer":2},{"info":"⪎⋱⫍-9969≭NaN=NaN","layer":1},{"info":"⪎⋱⫍C4≎⊠⪸NaN=⪎⋱⫍52","layer":0}]}
{"id":539,"expression_no_base_symbol":"(($4421$↺$4942$)⨓($2032$≋⫹)⫩⊇)⪨≂(($4747$≎⊠⪸$1004$)↬$1866$∀⇚≩$3786$⨵⪆$2419$⊴$3195$⨐⩸⫘$1710$≎⊠⪸$5645$)","expression":"((⪎⋱⫍2021↺⪎⋱⫍2332)⨓(⪎⋱⫍C04≋⫹)⫩⊇)⪨≂((⪎⋱⫍2212≎⊠⪸⪎⋱⫍5C3)↬⪎⋱⫍B07∀⇚≩⪎⋱⫍1953⨵⪆⪎⋱⫍1141⊴⪎⋱⫍15BA⨐⩸⫘⪎⋱⫍A17≎⊠⪸⪎⋱⫍2753)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":20888,"operation_count":12,"complexity_ratio":1740.6666666666667,"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":4421,"base":13},"right_expr":{"type":"numeric_atoms","value":4942,"base":13}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":2032,"base":13}}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":4747,"base":13},"right_expr":{"type":"numeric_atoms","value":1004,"base":13}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1866,"base":13},"right_expr":{"type":"numeric_atoms","value":3786,"base":13}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2419,"base":13},"right_expr":{"type":"numeric_atoms","value":3195,"base":13}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1710,"base":13},"right_expr":{"type":"numeric_atoms","value":5645,"base":13}}}}},"used_operators":["sdazOOVcIp","BjRHVeLaeN","3ViojmjbAp","7j4O788W3g","N41Kp7NANJ","2DQ55sFlQl","B5M0gjZbta","bJkvcejdHO","LRNGc0VcxI","fu6greOZ01","Nsiff2A1zJ"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","X99M06cbEe","3ViojmjbAp","dWAJyo7jo9","14qkJME0vr"],"result":"⪎⋱⫍-39B1","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4421","layer":4},{"info":"number node, value=4942","layer":4},{"info":"compute binary expreesion, left_input=4421, right_input=4942, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=4942","layer":3},{"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":"compute binary expreesion, left_input=4942, right_input=-4064, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=4061","layer":2},{"info":"compute unary expreesion, input=4061, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-4019","layer":1},{"info":"number node, value=4747","layer":4},{"info":"number node, value=1004","layer":4},{"info":"compute binary expreesion, left_input=4747, right_input=1004, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1229000","layer":3},{"info":"number node, value=1866","layer":4},{"info":"number node, value=3786","layer":4},{"info":"compute binary expreesion, left_input=1866, right_input=3786, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=1229000, 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=2419","layer":4},{"info":"number node, value=3195","layer":4},{"info":"compute binary expreesion, left_input=2419, right_input=3195, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=1710","layer":4},{"info":"number node, value=5645","layer":4},{"info":"compute binary expreesion, left_input=1710, right_input=5645, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=442417","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=442417, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"compute binary expreesion, left_input=-4019, 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=-8256","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍2021↺⪎⋱⫍2332)⨓(⪎⋱⫍C04≋⫹)⫩⊇)⪨≂((⪎⋱⫍2212≎⊠⪸⪎⋱⫍5C3)↬⪎⋱⫍B07∀⇚≩⪎⋱⫍1953⨵⪆⪎⋱⫍1141⊴⪎⋱⫍15BA⨐⩸⫘⪎⋱⫍A17≎⊠⪸⪎⋱⫍2753)=⪎⋱⫍-39B1","reverse_text":"⪎⋱⫍-39B1=((⪎⋱⫍2021↺⪎⋱⫍2332)⨓(⪎⋱⫍C04≋⫹)⫩⊇)⪨≂((⪎⋱⫍2212≎⊠⪸⪎⋱⫍5C3)↬⪎⋱⫍B07∀⇚≩⪎⋱⫍1953⨵⪆⪎⋱⫍1141⊴⪎⋱⫍15BA⨐⩸⫘⪎⋱⫍A17≎⊠⪸⪎⋱⫍2753)","cot":[{"info":"⪎⋱⫍2021↺⪎⋱⫍2332=⪎⋱⫍2332","layer":3},{"info":"⪎⋱⫍C04≋⫹=⪎⋱⫍-1B08","layer":3},{"info":"⪎⋱⫍2332⨓⪎⋱⫍-1B08=⪎⋱⫍1B05","layer":2},{"info":"⪎⋱⫍1B05⫩⊇=⪎⋱⫍-1AA2","layer":1},{"info":"⪎⋱⫍2212≎⊠⪸⪎⋱⫍5C3=⪎⋱⫍340526","layer":3},{"info":"⪎⋱⫍B07∀⇚≩⪎⋱⫍1953=NaN","layer":3},{"info":"⪎⋱⫍340526↬NaN=NaN","layer":2},{"info":"⪎⋱⫍1141⊴⪎⋱⫍15BA=NaN","layer":3},{"info":"⪎⋱⫍A17≎⊠⪸⪎⋱⫍2753=⪎⋱⫍1264B1","layer":3},{"info":"NaN⨐⩸⫘⪎⋱⫍1264B1=NaN","layer":2},{"info":"NaN⨵⪆NaN=⪎⋱⫍C4","layer":1},{"info":"⪎⋱⫍-1AA2⪨≂⪎⋱⫍C4=⪎⋱⫍-39B1","layer":0}]}
{"id":540,"expression_no_base_symbol":"⨑⩽⪐($1444$⨓$3385$+(∥⊫$4678$))⫥∨⫟($6114$⪒$3510$)+⇶⊼($4899$-$1190$)","expression":"⨑⩽⪐(⪎⋱⫍871⨓⪎⋱⫍1705+(∥⊫⪎⋱⫍218B))⫥∨⫟(⪎⋱⫍2A24⪒⪎⋱⫍17A0)+⇶⊼(⪎⋱⫍22CB-⪎⋱⫍707)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3562,"operation_count":8,"complexity_ratio":445.25,"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":1444,"base":13},"right_expr":{"type":"numeric_atoms","value":3385,"base":13}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":4678,"base":13}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":6114,"base":13},"right_expr":{"type":"numeric_atoms","value":3510,"base":13}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":4899,"base":13},"right_expr":{"type":"numeric_atoms","value":1190,"base":13}}}}},"used_operators":["AF7qkfDlqP","KYD54nUTWz","W4YGzv6Whe","3ViojmjbAp","P8v4zCKN1o","TpPTUOHfaN","f6k1SAg4EE","rysDP5nf3Z"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","8HhzD0ZcuI","rGHVDoGpnC","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1444","layer":4},{"info":"number node, value=3385","layer":4},{"info":"compute binary expreesion, left_input=1444, right_input=3385, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3388","layer":3},{"info":"number node, value=4678","layer":4},{"info":"compute unary expreesion, input=4678, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=5546","layer":3},{"info":"compute binary expreesion, left_input=-3388, right_input=5546, op_id = W4YGzv6Whe binary_op_definition= 'None', output=2158","layer":2},{"info":"number node, value=6114","layer":4},{"info":"number node, value=3510","layer":4},{"info":"compute binary expreesion, left_input=6114, right_input=3510, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-9624","layer":3},{"info":"number node, value=4899","layer":4},{"info":"number node, value=1190","layer":4},{"info":"compute binary expreesion, left_input=4899, right_input=1190, op_id = rysDP5nf3Z binary_op_definition= 'None', output=3709","layer":3},{"info":"compute binary expreesion, left_input=-9624, right_input=3709, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=2158, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 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":13,"result_base":13,"text":"⨑⩽⪐(⪎⋱⫍871⨓⪎⋱⫍1705+(∥⊫⪎⋱⫍218B))⫥∨⫟(⪎⋱⫍2A24⪒⪎⋱⫍17A0)+⇶⊼(⪎⋱⫍22CB-⪎⋱⫍707)=NaN","reverse_text":"NaN=⨑⩽⪐(⪎⋱⫍871⨓⪎⋱⫍1705+(∥⊫⪎⋱⫍218B))⫥∨⫟(⪎⋱⫍2A24⪒⪎⋱⫍17A0)+⇶⊼(⪎⋱⫍22CB-⪎⋱⫍707)","cot":[{"info":"⪎⋱⫍871⨓⪎⋱⫍1705=⪎⋱⫍-1708","layer":3},{"info":"∥⊫⪎⋱⫍218B=⪎⋱⫍26A8","layer":3},{"info":"⪎⋱⫍-1708+⪎⋱⫍26A8=⪎⋱⫍CA0","layer":2},{"info":"⪎⋱⫍2A24⪒⪎⋱⫍17A0=⪎⋱⫍-44C4","layer":3},{"info":"⪎⋱⫍22CB-⪎⋱⫍707=⪎⋱⫍18C4","layer":3},{"info":"⪎⋱⫍-44C4+⇶⊼⪎⋱⫍18C4=NaN","layer":2},{"info":"⪎⋱⫍CA0⫥∨⫟NaN=NaN","layer":1},{"info":"⨑⩽⪐NaN=NaN","layer":0}]}
{"id":541,"expression_no_base_symbol":"((($8067$∧)⩤)⋷($3968$≦≮≮)⩷∴($4076$⊭↱$2329$))∼(($1307$⪄$5444$)≎⊠⪸($1727$≫≃)⨵⪆($1641$⇷$3144$)⪘⫢$1795$⨪↰⇹$3311$)","expression":"(((⪎⋱⫍3897∧)⩤)⋷(⪎⋱⫍1A63≦≮≮)⩷∴(⪎⋱⫍1B17⊭↱⪎⋱⫍10A2))∼((⪎⋱⫍797⪄⪎⋱⫍262A)≎⊠⪸(⪎⋱⫍A2B≫≃)⨵⪆(⪎⋱⫍993⇷⪎⋱⫍157B)⪘⫢⪎⋱⫍A81⨪↰⇹⪎⋱⫍1679)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":25849,"operation_count":14,"complexity_ratio":1846.357142857143,"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":8067,"base":13}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":3968,"base":13}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":4076,"base":13},"right_expr":{"type":"numeric_atoms","value":2329,"base":13}}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1307,"base":13},"right_expr":{"type":"numeric_atoms","value":5444,"base":13}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":1727,"base":13}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1641,"base":13},"right_expr":{"type":"numeric_atoms","value":3144,"base":13}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1795,"base":13},"right_expr":{"type":"numeric_atoms","value":3311,"base":13}}}}},"used_operators":["DyGG3AbaNP","23Mk6UjR3U","Z2TMIBDE3Q","z63VuFQld9","9FxExcQeMw","D4vGDi5EA2","COABgblf1C","2DQ55sFlQl","bJkvcejdHO","SUmda5xLS4","X99M06cbEe","oacrs7FA3X","mp7IySMOzn","tmPS8pqC7x"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rJVOvQCfKK"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=8067","layer":4},{"info":"compute unary expreesion, input=8067, 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 = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=nan","layer":2},{"info":"number node, value=3968","layer":4},{"info":"compute unary expreesion, input=3968, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-11904","layer":3},{"info":"number node, value=4076","layer":4},{"info":"number node, value=2329","layer":4},{"info":"compute binary expreesion, left_input=4076, right_input=2329, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-3489","layer":3},{"info":"compute binary expreesion, left_input=-11904, right_input=-3489, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-16862","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-16862, 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=1307","layer":4},{"info":"number node, value=5444","layer":4},{"info":"compute binary expreesion, left_input=1307, right_input=5444, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-211301","layer":3},{"info":"number node, value=1727","layer":4},{"info":"compute unary expreesion, input=1727, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=4855","layer":3},{"info":"compute binary expreesion, left_input=-211301, right_input=4855, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=54726959","layer":2},{"info":"number node, value=1641","layer":4},{"info":"number node, value=3144","layer":4},{"info":"compute binary expreesion, left_input=1641, right_input=3144, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=6288","layer":3},{"info":"number node, value=1795","layer":4},{"info":"number node, value=3311","layer":4},{"info":"compute binary expreesion, left_input=1795, right_input=3311, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1795","layer":3},{"info":"compute binary expreesion, left_input=6288, right_input=1795, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=12452","layer":2},{"info":"compute binary expreesion, left_input=54726959, right_input=12452, 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 = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=0","layer":0}],"base":13,"result_base":13,"text":"(((⪎⋱⫍3897∧)⩤)⋷(⪎⋱⫍1A63≦≮≮)⩷∴(⪎⋱⫍1B17⊭↱⪎⋱⫍10A2))∼((⪎⋱⫍797⪄⪎⋱⫍262A)≎⊠⪸(⪎⋱⫍A2B≫≃)⨵⪆(⪎⋱⫍993⇷⪎⋱⫍157B)⪘⫢⪎⋱⫍A81⨪↰⇹⪎⋱⫍1679)=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=(((⪎⋱⫍3897∧)⩤)⋷(⪎⋱⫍1A63≦≮≮)⩷∴(⪎⋱⫍1B17⊭↱⪎⋱⫍10A2))∼((⪎⋱⫍797⪄⪎⋱⫍262A)≎⊠⪸(⪎⋱⫍A2B≫≃)⨵⪆(⪎⋱⫍993⇷⪎⋱⫍157B)⪘⫢⪎⋱⫍A81⨪↰⇹⪎⋱⫍1679)","cot":[{"info":"⪎⋱⫍3897∧=NaN","layer":3},{"info":"NaN⩤=NaN","layer":2},{"info":"⪎⋱⫍1A63≦≮≮=⪎⋱⫍-5559","layer":3},{"info":"⪎⋱⫍1B17⊭↱⪎⋱⫍10A2=⪎⋱⫍-1785","layer":3},{"info":"⪎⋱⫍-5559⩷∴⪎⋱⫍-1785=⪎⋱⫍-78A1","layer":2},{"info":"NaN⋷⪎⋱⫍-78A1=NaN","layer":1},{"info":"⪎⋱⫍797⪄⪎⋱⫍262A=⪎⋱⫍-7523C","layer":3},{"info":"⪎⋱⫍A2B≫≃=⪎⋱⫍2296","layer":3},{"info":"⪎⋱⫍-7523C≎⊠⪸⪎⋱⫍2296=⪎⋱⫍B451B21","layer":2},{"info":"⪎⋱⫍993⇷⪎⋱⫍157B=⪎⋱⫍2B29","layer":3},{"info":"⪎⋱⫍A81⨪↰⇹⪎⋱⫍1679=⪎⋱⫍A81","layer":3},{"info":"⪎⋱⫍2B29⪘⫢⪎⋱⫍A81=⪎⋱⫍588B","layer":2},{"info":"⪎⋱⫍B451B21⨵⪆⪎⋱⫍588B=⪎⋱⫍C4","layer":1},{"info":"NaN∼⪎⋱⫍C4=⪎⋱⫍0","layer":0}]}
{"id":542,"expression_no_base_symbol":"((↣≠⋷$2301$)⨳⩥⨓(∥⊫$2511$)⊉≛↸(($8117$⫩⊇)∲⫓$4070$⩷∴$5730$))⨪↰⇹(($3980$+⇶⊼$6404$⪄$8220$⩷∴$4832$)⩠)","expression":"((↣≠⋷⪎⋱⫍1080)⨳⩥⨓(∥⊫⪎⋱⫍11B2)⊉≛↸((⪎⋱⫍3905⫩⊇)∲⫓⪎⋱⫍1B11⩷∴⪎⋱⫍27BA))⨪↰⇹((⪎⋱⫍1A72+⇶⊼⪎⋱⫍2BB8⪄⪎⋱⫍3984⩷∴⪎⋱⫍2279)⩠)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":69,"operation_count":12,"complexity_ratio":5.75,"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":2301,"base":13}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":2511,"base":13}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":8117,"base":13}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":4070,"base":13},"right_expr":{"type":"numeric_atoms","value":5730,"base":13}}}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":3980,"base":13},"right_expr":{"type":"numeric_atoms","value":6404,"base":13}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":8220,"base":13},"right_expr":{"type":"numeric_atoms","value":4832,"base":13}}}}},"used_operators":["tmPS8pqC7x","DZ8iAZOCBD","nCS4ZIUYfx","Asc51vEJeQ","P8v4zCKN1o","i8ToyICDmI","BjRHVeLaeN","9FxExcQeMw","sJAwomhLZr","SUmda5xLS4","TpPTUOHfaN"],"dependent_operators":["rJVOvQCfKK","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","XhwjNDsVaA","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2301","layer":4},{"info":"compute unary expreesion, input=2301, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=2511","layer":4},{"info":"compute unary expreesion, input=2511, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=3379","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3379, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":2},{"info":"number node, value=8117","layer":4},{"info":"compute unary expreesion, input=8117, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-8075","layer":3},{"info":"number node, value=4070","layer":4},{"info":"number node, value=5730","layer":4},{"info":"compute binary expreesion, left_input=4070, right_input=5730, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-3352","layer":3},{"info":"compute binary expreesion, left_input=-8075, right_input=-3352, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=-8075","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-8075, 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=3980","layer":4},{"info":"number node, value=6404","layer":4},{"info":"compute binary expreesion, left_input=3980, right_input=6404, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=8220","layer":4},{"info":"number node, value=4832","layer":4},{"info":"compute binary expreesion, left_input=8220, right_input=4832, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=6744","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=6744, 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 = sJAwomhLZr, unary_op_definition = '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":13,"result_base":13,"text":"((↣≠⋷⪎⋱⫍1080)⨳⩥⨓(∥⊫⪎⋱⫍11B2)⊉≛↸((⪎⋱⫍3905⫩⊇)∲⫓⪎⋱⫍1B11⩷∴⪎⋱⫍27BA))⨪↰⇹((⪎⋱⫍1A72+⇶⊼⪎⋱⫍2BB8⪄⪎⋱⫍3984⩷∴⪎⋱⫍2279)⩠)=NaN","reverse_text":"NaN=((↣≠⋷⪎⋱⫍1080)⨳⩥⨓(∥⊫⪎⋱⫍11B2)⊉≛↸((⪎⋱⫍3905⫩⊇)∲⫓⪎⋱⫍1B11⩷∴⪎⋱⫍27BA))⨪↰⇹((⪎⋱⫍1A72+⇶⊼⪎⋱⫍2BB8⪄⪎⋱⫍3984⩷∴⪎⋱⫍2279)⩠)","cot":[{"info":"↣≠⋷⪎⋱⫍1080=NaN","layer":3},{"info":"∥⊫⪎⋱⫍11B2=⪎⋱⫍16CC","layer":3},{"info":"NaN⨳⩥⨓⪎⋱⫍16CC=NaN","layer":2},{"info":"⪎⋱⫍3905⫩⊇=⪎⋱⫍-38A2","layer":3},{"info":"⪎⋱⫍1B11⩷∴⪎⋱⫍27BA=⪎⋱⫍-16AB","layer":3},{"info":"⪎⋱⫍-38A2∲⫓⪎⋱⫍-16AB=⪎⋱⫍-38A2","layer":2},{"info":"NaN⊉≛↸⪎⋱⫍-38A2=NaN","layer":1},{"info":"⪎⋱⫍1A72+⇶⊼⪎⋱⫍2BB8=NaN","layer":3},{"info":"⪎⋱⫍3984⩷∴⪎⋱⫍2279=⪎⋱⫍30BA","layer":3},{"info":"NaN⪄⪎⋱⫍30BA=⪎⋱⫍1A71","layer":2},{"info":"⪎⋱⫍1A71⩠=⪎⋱⫍0","layer":1},{"info":"NaN⨪↰⇹⪎⋱⫍0=NaN","layer":0}]}
{"id":543,"expression_no_base_symbol":"⫛⫱⨽(($2577$⨟⋌⩍$5238$⨪↰⇹($2025$⨐⩸⫘$2045$))↬((⨵≀≌$2128$)≧⫂∧($1035$+⇶⊼$1181$)))","expression":"⫛⫱⨽((⪎⋱⫍1233⨟⋌⩍⪎⋱⫍24CC⨪↰⇹(⪎⋱⫍BCA⨐⩸⫘⪎⋱⫍C14))↬((⨵≀≌⪎⋱⫍C79)≧⫂∧(⪎⋱⫍618+⇶⊼⪎⋱⫍6CB)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":921,"operation_count":8,"complexity_ratio":115.125,"tree":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2577,"base":13},"right_expr":{"type":"numeric_atoms","value":5238,"base":13}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2025,"base":13},"right_expr":{"type":"numeric_atoms","value":2045,"base":13}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":2128,"base":13}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1035,"base":13},"right_expr":{"type":"numeric_atoms","value":1181,"base":13}}}}},"used_operators":["DlLNRPXxWL","B5M0gjZbta","tmPS8pqC7x","rGHVDoGpnC","fu6greOZ01","Ph9nP6C5qx","srAu1WTS94","TpPTUOHfaN"],"dependent_operators":["rGHVDoGpnC","rGHVDoGpnC","rJVOvQCfKK","Tcnh7f0tEr","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2577","layer":4},{"info":"number node, value=5238","layer":4},{"info":"compute binary expreesion, left_input=2577, right_input=5238, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=2025","layer":4},{"info":"number node, value=2045","layer":4},{"info":"compute binary expreesion, left_input=2025, right_input=2045, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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":"number node, value=2128","layer":4},{"info":"compute unary expreesion, input=2128, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-6384","layer":3},{"info":"number node, value=1035","layer":4},{"info":"number node, value=1181","layer":4},{"info":"compute binary expreesion, left_input=1035, right_input=1181, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=-6384, 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 = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⫛⫱⨽((⪎⋱⫍1233⨟⋌⩍⪎⋱⫍24CC⨪↰⇹(⪎⋱⫍BCA⨐⩸⫘⪎⋱⫍C14))↬((⨵≀≌⪎⋱⫍C79)≧⫂∧(⪎⋱⫍618+⇶⊼⪎⋱⫍6CB)))=NaN","reverse_text":"NaN=⫛⫱⨽((⪎⋱⫍1233⨟⋌⩍⪎⋱⫍24CC⨪↰⇹(⪎⋱⫍BCA⨐⩸⫘⪎⋱⫍C14))↬((⨵≀≌⪎⋱⫍C79)≧⫂∧(⪎⋱⫍618+⇶⊼⪎⋱⫍6CB)))","cot":[{"info":"⪎⋱⫍1233⨟⋌⩍⪎⋱⫍24CC=NaN","layer":3},{"info":"⪎⋱⫍BCA⨐⩸⫘⪎⋱⫍C14=NaN","layer":3},{"info":"NaN⨪↰⇹NaN=NaN","layer":2},{"info":"⨵≀≌⪎⋱⫍C79=⪎⋱⫍-2BA1","layer":3},{"info":"⪎⋱⫍618+⇶⊼⪎⋱⫍6CB=NaN","layer":3},{"info":"⪎⋱⫍-2BA1≧⫂∧NaN=NaN","layer":2},{"info":"NaN↬NaN=NaN","layer":1},{"info":"⫛⫱⨽NaN=NaN","layer":0}]}
{"id":544,"expression_no_base_symbol":"(∥⊫(⨞⊢$1105$)⨟⋌⩍($3290$⊦⊿))⪛(⨵≀≌($2457$%$2082$)↬($6422$⋓$1213$))","expression":"(∥⊫(⨞⊢⪎⋱⫍670)⨟⋌⩍(⪎⋱⫍1661⊦⊿))⪛(⨵≀≌(⪎⋱⫍1170%⪎⋱⫍C42)↬(⪎⋱⫍2C00⋓⪎⋱⫍724))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":34,"operation_count":9,"complexity_ratio":3.7777777777777777,"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":1105,"base":13}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":3290,"base":13}}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2457,"base":13},"right_expr":{"type":"numeric_atoms","value":2082,"base":13}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":6422,"base":13},"right_expr":{"type":"numeric_atoms","value":1213,"base":13}}}}},"used_operators":["uFcxV4UQCh","P8v4zCKN1o","rGHVDoGpnC","xUOZtlo3hN","14qkJME0vr","srAu1WTS94","B5M0gjZbta","k8jYdgA6NY","T2fj7uvVaJ"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rGHVDoGpnC","rysDP5nf3Z","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1105","layer":4},{"info":"compute unary expreesion, input=1105, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1279","layer":3},{"info":"number node, value=3290","layer":4},{"info":"compute unary expreesion, input=3290, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-9949","layer":3},{"info":"compute binary expreesion, left_input=-1279, right_input=-9949, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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 = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=nan","layer":1},{"info":"number node, value=2457","layer":4},{"info":"number node, value=2082","layer":4},{"info":"compute binary expreesion, left_input=2457, right_input=2082, op_id = k8jYdgA6NY binary_op_definition= 'None', output=375","layer":3},{"info":"number node, value=6422","layer":4},{"info":"number node, value=1213","layer":4},{"info":"compute binary expreesion, left_input=6422, right_input=1213, op_id = T2fj7uvVaJ binary_op_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=375, 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 = 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 = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(∥⊫(⨞⊢⪎⋱⫍670)⨟⋌⩍(⪎⋱⫍1661⊦⊿))⪛(⨵≀≌(⪎⋱⫍1170%⪎⋱⫍C42)↬(⪎⋱⫍2C00⋓⪎⋱⫍724))=NaN","reverse_text":"NaN=(∥⊫(⨞⊢⪎⋱⫍670)⨟⋌⩍(⪎⋱⫍1661⊦⊿))⪛(⨵≀≌(⪎⋱⫍1170%⪎⋱⫍C42)↬(⪎⋱⫍2C00⋓⪎⋱⫍724))","cot":[{"info":"⨞⊢⪎⋱⫍670=⪎⋱⫍-775","layer":3},{"info":"⪎⋱⫍1661⊦⊿=⪎⋱⫍-46B4","layer":3},{"info":"⪎⋱⫍-775⨟⋌⩍⪎⋱⫍-46B4=NaN","layer":2},{"info":"∥⊫NaN=NaN","layer":1},{"info":"⪎⋱⫍1170%⪎⋱⫍C42=⪎⋱⫍22B","layer":3},{"info":"⪎⋱⫍2C00⋓⪎⋱⫍724=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍22B↬⪎⋱⫍0=NaN","layer":2},{"info":"⨵≀≌NaN=NaN","layer":1},{"info":"NaN⪛NaN=NaN","layer":0}]}
{"id":545,"expression_no_base_symbol":"(($2290$+⇶⊼$4015$≭($2153$⨐⩸⫘$2092$))⩷∴($1152$⨎$3758$)⇷($4572$⋓$2842$))≦≮≮","expression":"((⪎⋱⫍1072+⇶⊼⪎⋱⫍1A9B≭(⪎⋱⫍C98⨐⩸⫘⪎⋱⫍C4C))⩷∴(⪎⋱⫍6A8⨎⪎⋱⫍1931)⇷(⪎⋱⫍2109⋓⪎⋱⫍13A8))≦≮≮","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":52644,"operation_count":8,"complexity_ratio":6580.5,"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":2290,"base":13},"right_expr":{"type":"numeric_atoms","value":4015,"base":13}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2153,"base":13},"right_expr":{"type":"numeric_atoms","value":2092,"base":13}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1152,"base":13},"right_expr":{"type":"numeric_atoms","value":3758,"base":13}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":4572,"base":13},"right_expr":{"type":"numeric_atoms","value":2842,"base":13}}}}},"used_operators":["D4vGDi5EA2","9FxExcQeMw","rxpJgHHUmx","TpPTUOHfaN","fu6greOZ01","mp7IySMOzn","rJVOvQCfKK","T2fj7uvVaJ"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","AHs5Up7iyr","AHs5Up7iyr","3ViojmjbAp","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2290","layer":4},{"info":"number node, value=4015","layer":4},{"info":"compute binary expreesion, left_input=2290, right_input=4015, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=2153","layer":4},{"info":"number node, value=2092","layer":4},{"info":"compute binary expreesion, left_input=2153, right_input=2092, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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 = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=1152","layer":4},{"info":"number node, value=3758","layer":4},{"info":"compute binary expreesion, left_input=1152, right_input=3758, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3758","layer":3},{"info":"number node, value=4572","layer":4},{"info":"number node, value=2842","layer":4},{"info":"compute binary expreesion, left_input=4572, right_input=2842, op_id = T2fj7uvVaJ binary_op_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=3758, right_input=0, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, 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 = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍1072+⇶⊼⪎⋱⫍1A9B≭(⪎⋱⫍C98⨐⩸⫘⪎⋱⫍C4C))⩷∴(⪎⋱⫍6A8⨎⪎⋱⫍1931)⇷(⪎⋱⫍2109⋓⪎⋱⫍13A8))≦≮≮=NaN","reverse_text":"NaN=((⪎⋱⫍1072+⇶⊼⪎⋱⫍1A9B≭(⪎⋱⫍C98⨐⩸⫘⪎⋱⫍C4C))⩷∴(⪎⋱⫍6A8⨎⪎⋱⫍1931)⇷(⪎⋱⫍2109⋓⪎⋱⫍13A8))≦≮≮","cot":[{"info":"⪎⋱⫍1072+⇶⊼⪎⋱⫍1A9B=NaN","layer":3},{"info":"⪎⋱⫍C98⨐⩸⫘⪎⋱⫍C4C=NaN","layer":3},{"info":"NaN≭NaN=NaN","layer":2},{"info":"⪎⋱⫍6A8⨎⪎⋱⫍1931=⪎⋱⫍1931","layer":3},{"info":"⪎⋱⫍2109⋓⪎⋱⫍13A8=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍1931⇷⪎⋱⫍0=⪎⋱⫍0","layer":2},{"info":"NaN⩷∴⪎⋱⫍0=NaN","layer":1},{"info":"NaN≦≮≮=NaN","layer":0}]}
{"id":546,"expression_no_base_symbol":"≦∁(⩦⩻⨪(↥$3230$))⪢($1134$∀⇚≩$6824$⨎($1010$/$7440$))","expression":"≦∁(⩦⩻⨪(↥⪎⋱⫍1616))⪢(⪎⋱⫍693∀⇚≩⪎⋱⫍314C⨎(⪎⋱⫍5C9/⪎⋱⫍3504))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":8034,"operation_count":7,"complexity_ratio":1147.7142857142858,"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":3230,"base":13}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1134,"base":13},"right_expr":{"type":"numeric_atoms","value":6824,"base":13}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1010,"base":13},"right_expr":{"type":"numeric_atoms","value":7440,"base":13}}}}},"used_operators":["9ICcGScMcE","dWAJyo7jo9","2td37pGCOC","A8NUZmVepG","rJVOvQCfKK","LRNGc0VcxI","XhwjNDsVaA"],"dependent_operators":["XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","X99M06cbEe","rysDP5nf3Z"],"result":"⪎⋱⫍-1B8","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3230","layer":4},{"info":"compute unary expreesion, input=3230, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=17","layer":3},{"info":"compute unary expreesion, input=17, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=17","layer":2},{"info":"number node, value=1134","layer":4},{"info":"number node, value=6824","layer":4},{"info":"compute binary expreesion, left_input=1134, right_input=6824, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=1010","layer":4},{"info":"number node, value=7440","layer":4},{"info":"compute binary expreesion, left_input=1010, right_input=7440, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"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":2},{"info":"compute binary expreesion, left_input=17, right_input=0, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=-320","layer":0}],"base":13,"result_base":13,"text":"≦∁(⩦⩻⨪(↥⪎⋱⫍1616))⪢(⪎⋱⫍693∀⇚≩⪎⋱⫍314C⨎(⪎⋱⫍5C9/⪎⋱⫍3504))=⪎⋱⫍-1B8","reverse_text":"⪎⋱⫍-1B8=≦∁(⩦⩻⨪(↥⪎⋱⫍1616))⪢(⪎⋱⫍693∀⇚≩⪎⋱⫍314C⨎(⪎⋱⫍5C9/⪎⋱⫍3504))","cot":[{"info":"↥⪎⋱⫍1616=⪎⋱⫍14","layer":3},{"info":"⩦⩻⨪⪎⋱⫍14=⪎⋱⫍14","layer":2},{"info":"⪎⋱⫍693∀⇚≩⪎⋱⫍314C=NaN","layer":3},{"info":"⪎⋱⫍5C9/⪎⋱⫍3504=⪎⋱⫍0","layer":3},{"info":"NaN⨎⪎⋱⫍0=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍14⪢⪎⋱⫍0=⪎⋱⫍0","layer":1},{"info":"≦∁⪎⋱⫍0=⪎⋱⫍-1B8","layer":0}]}
{"id":547,"expression_no_base_symbol":"⊄⩳↩(($1609$+$7347$)-(+⊝⨔$9609$)⪨≂$4103$⇷$5668$⪒$3676$≭$4445$)","expression":"⊄⩳↩((⪎⋱⫍96A+⪎⋱⫍3462)-(+⊝⨔⪎⋱⫍44B2)⪨≂⪎⋱⫍1B38⇷⪎⋱⫍2770⪒⪎⋱⫍189A≭⪎⋱⫍203C)","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":57502,"operation_count":8,"complexity_ratio":7187.75,"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":1609,"base":13},"right_expr":{"type":"numeric_atoms","value":7347,"base":13}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":9609,"base":13}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":4103,"base":13},"right_expr":{"type":"numeric_atoms","value":5668,"base":13}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":3676,"base":13},"right_expr":{"type":"numeric_atoms","value":4445,"base":13}}}}},"used_operators":["8w2t5hMYqp","sdazOOVcIp","rysDP5nf3Z","W4YGzv6Whe","DhbWaqg5eL","f6k1SAg4EE","mp7IySMOzn","rxpJgHHUmx"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1609","layer":4},{"info":"number node, value=7347","layer":4},{"info":"compute binary expreesion, left_input=1609, right_input=7347, op_id = W4YGzv6Whe binary_op_definition= 'None', output=8956","layer":3},{"info":"number node, value=9609","layer":4},{"info":"compute unary expreesion, input=9609, 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=8956, right_input=1522, op_id = rysDP5nf3Z binary_op_definition= 'None', output=7434","layer":2},{"info":"number node, value=4103","layer":4},{"info":"number node, value=5668","layer":4},{"info":"compute binary expreesion, left_input=4103, right_input=5668, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=11336","layer":3},{"info":"number node, value=3676","layer":4},{"info":"number node, value=4445","layer":4},{"info":"compute binary expreesion, left_input=3676, right_input=4445, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=11336, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=7434, right_input=nan, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⊄⩳↩((⪎⋱⫍96A+⪎⋱⫍3462)-(+⊝⨔⪎⋱⫍44B2)⪨≂⪎⋱⫍1B38⇷⪎⋱⫍2770⪒⪎⋱⫍189A≭⪎⋱⫍203C)=NaN","reverse_text":"NaN=⊄⩳↩((⪎⋱⫍96A+⪎⋱⫍3462)-(+⊝⨔⪎⋱⫍44B2)⪨≂⪎⋱⫍1B38⇷⪎⋱⫍2770⪒⪎⋱⫍189A≭⪎⋱⫍203C)","cot":[{"info":"⪎⋱⫍96A+⪎⋱⫍3462=⪎⋱⫍40CC","layer":3},{"info":"+⊝⨔⪎⋱⫍44B2=⪎⋱⫍901","layer":3},{"info":"⪎⋱⫍40CC-⪎⋱⫍901=⪎⋱⫍34CB","layer":2},{"info":"⪎⋱⫍1B38⇷⪎⋱⫍2770=⪎⋱⫍5210","layer":3},{"info":"⪎⋱⫍189A≭⪎⋱⫍203C=NaN","layer":3},{"info":"⪎⋱⫍5210⪒NaN=NaN","layer":2},{"info":"⪎⋱⫍34CB⪨≂NaN=NaN","layer":1},{"info":"⊄⩳↩NaN=NaN","layer":0}]}
{"id":548,"expression_no_base_symbol":"($7219$⪒$1003$)⪮%⊝($1702$⨰$1169$)+((+⊝⨔$1537$)⊭∹↮)↪⪝","expression":"(⪎⋱⫍3394⪒⪎⋱⫍5C2)⪮%⊝(⪎⋱⫍A0C⨰⪎⋱⫍6BC)+((+⊝⨔⪎⋱⫍913)⊭∹↮)↪⪝","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":765,"operation_count":7,"complexity_ratio":109.28571428571429,"tree":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":7219,"base":13},"right_expr":{"type":"numeric_atoms","value":1003,"base":13}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1702,"base":13},"right_expr":{"type":"numeric_atoms","value":1169,"base":13}}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":1537,"base":13}}}}},"used_operators":["l07mrZUIn9","W4YGzv6Whe","IWmyXbctLI","f6k1SAg4EE","eewbuw0ToL","xNBdhnnwKq","DhbWaqg5eL"],"dependent_operators":["9HNa5Wba9A","2DDjHMKMc0","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"⪎⋱⫍-C9ACBB8B","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=7219","layer":4},{"info":"number node, value=1003","layer":4},{"info":"compute binary expreesion, left_input=7219, right_input=1003, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-8222","layer":3},{"info":"number node, value=1702","layer":4},{"info":"number node, value=1169","layer":4},{"info":"compute binary expreesion, left_input=1702, right_input=1169, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=543","layer":3},{"info":"compute binary expreesion, left_input=-8222, right_input=543, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-16128","layer":2},{"info":"number node, value=1537","layer":4},{"info":"compute unary expreesion, input=1537, 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 = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=3044","layer":2},{"info":"compute binary expreesion, left_input=-16128, right_input=3044, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-13084","layer":1},{"info":"compute unary expreesion, input=-13084, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=-800505288","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍3394⪒⪎⋱⫍5C2)⪮%⊝(⪎⋱⫍A0C⨰⪎⋱⫍6BC)+((+⊝⨔⪎⋱⫍913)⊭∹↮)↪⪝=⪎⋱⫍-C9ACBB8B","reverse_text":"⪎⋱⫍-C9ACBB8B=(⪎⋱⫍3394⪒⪎⋱⫍5C2)⪮%⊝(⪎⋱⫍A0C⨰⪎⋱⫍6BC)+((+⊝⨔⪎⋱⫍913)⊭∹↮)↪⪝","cot":[{"info":"⪎⋱⫍3394⪒⪎⋱⫍5C2=⪎⋱⫍-3986","layer":3},{"info":"⪎⋱⫍A0C⨰⪎⋱⫍6BC=⪎⋱⫍32A","layer":3},{"info":"⪎⋱⫍-3986⪮%⊝⪎⋱⫍32A=⪎⋱⫍-7458","layer":2},{"info":"+⊝⨔⪎⋱⫍913=⪎⋱⫍901","layer":3},{"info":"⪎⋱⫍901⊭∹↮=⪎⋱⫍1502","layer":2},{"info":"⪎⋱⫍-7458+⪎⋱⫍1502=⪎⋱⫍-5C56","layer":1},{"info":"⪎⋱⫍-5C56↪⪝=⪎⋱⫍-C9ACBB8B","layer":0}]}
{"id":549,"expression_no_base_symbol":"(↔((⪝⪂⫅$3616$)⨁⊸⫻))⨰($3089$⊴$1519$⨪↰⇹$1316$⪢$4207$⋳⪒($3191$↺$1314$)⪛(↽≂$1229$))","expression":"(↔((⪝⪂⫅⪎⋱⫍1852)⨁⊸⫻))⨰(⪎⋱⫍1538⊴⪎⋱⫍8CB⨪↰⇹⪎⋱⫍7A3⪢⪎⋱⫍1BB8⋳⪒(⪎⋱⫍15B6↺⪎⋱⫍7A1)⪛(↽≂⪎⋱⫍737))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":11491,"operation_count":11,"complexity_ratio":1044.6363636363637,"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":3616,"base":13}}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":3089,"base":13},"right_expr":{"type":"numeric_atoms","value":1519,"base":13}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1316,"base":13},"right_expr":{"type":"numeric_atoms","value":4207,"base":13}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":3191,"base":13},"right_expr":{"type":"numeric_atoms","value":1314,"base":13}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":1229,"base":13}}}}},"used_operators":["eewbuw0ToL","ruOEQAzv1W","glklzrTFfD","XTarYq4gQB","12rbrZMWeM","tmPS8pqC7x","Nsiff2A1zJ","dWAJyo7jo9","uFcxV4UQCh","7j4O788W3g","u6S6b8DprG"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe","rysDP5nf3Z","9HNa5Wba9A","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","dWAJyo7jo9","14qkJME0vr","k8jYdgA6NY","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3616","layer":4},{"info":"compute unary expreesion, input=3616, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-531552","layer":3},{"info":"compute unary expreesion, input=-531552, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=-1063104","layer":2},{"info":"compute unary expreesion, input=-1063104, 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=3089","layer":4},{"info":"number node, value=1519","layer":4},{"info":"compute binary expreesion, left_input=3089, right_input=1519, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=1316","layer":4},{"info":"number node, value=4207","layer":4},{"info":"compute binary expreesion, left_input=1316, right_input=4207, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((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=3191","layer":4},{"info":"number node, value=1314","layer":4},{"info":"compute binary expreesion, left_input=3191, right_input=1314, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1314","layer":3},{"info":"number node, value=1229","layer":4},{"info":"compute unary expreesion, input=1229, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-2458","layer":3},{"info":"compute binary expreesion, left_input=1314, right_input=-2458, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=-1144","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1144, 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=-134, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(↔((⪝⪂⫅⪎⋱⫍1852)⨁⊸⫻))⨰(⪎⋱⫍1538⊴⪎⋱⫍8CB⨪↰⇹⪎⋱⫍7A3⪢⪎⋱⫍1BB8⋳⪒(⪎⋱⫍15B6↺⪎⋱⫍7A1)⪛(↽≂⪎⋱⫍737))=NaN","reverse_text":"NaN=(↔((⪝⪂⫅⪎⋱⫍1852)⨁⊸⫻))⨰(⪎⋱⫍1538⊴⪎⋱⫍8CB⨪↰⇹⪎⋱⫍7A3⪢⪎⋱⫍1BB8⋳⪒(⪎⋱⫍15B6↺⪎⋱⫍7A1)⪛(↽≂⪎⋱⫍737))","cot":[{"info":"⪝⪂⫅⪎⋱⫍1852=⪎⋱⫍-157C38","layer":3},{"info":"⪎⋱⫍-157C38⨁⊸⫻=⪎⋱⫍-2B2B73","layer":2},{"info":"↔⪎⋱⫍-2B2B73=⪎⋱⫍-A4","layer":1},{"info":"⪎⋱⫍1538⊴⪎⋱⫍8CB=NaN","layer":3},{"info":"⪎⋱⫍7A3⪢⪎⋱⫍1BB8=NaN","layer":3},{"info":"NaN⨪↰⇹NaN=NaN","layer":2},{"info":"⪎⋱⫍15B6↺⪎⋱⫍7A1=⪎⋱⫍7A1","layer":3},{"info":"↽≂⪎⋱⫍737=⪎⋱⫍-1171","layer":3},{"info":"⪎⋱⫍7A1⪛⪎⋱⫍-1171=⪎⋱⫍-6A0","layer":2},{"info":"NaN⋳⪒⪎⋱⫍-6A0=NaN","layer":1},{"info":"⪎⋱⫍-A4⨰NaN=NaN","layer":0}]}
{"id":550,"expression_no_base_symbol":"(($3306$⋓$3668$)∼($4151$⊪)⫌⩹⨱)⨵⪆($1085$⨪↰⇹$2838$⨎$1910$∼$3666$)⪛((⨈⫕$6200$)⇼⇔∾(⊥$1128$))","expression":"((⪎⋱⫍1674⋓⪎⋱⫍1892)∼(⪎⋱⫍1B74⊪)⫌⩹⨱)⨵⪆(⪎⋱⫍656⨪↰⇹⪎⋱⫍13A4⨎⪎⋱⫍B3C∼⪎⋱⫍1890)⪛((⨈⫕⪎⋱⫍2A8C)⇼⇔∾(⊥⪎⋱⫍68A))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1594,"operation_count":12,"complexity_ratio":132.83333333333334,"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":3306,"base":13},"right_expr":{"type":"numeric_atoms","value":3668,"base":13}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":4151,"base":13}}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1085,"base":13},"right_expr":{"type":"numeric_atoms","value":2838,"base":13}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1910,"base":13},"right_expr":{"type":"numeric_atoms","value":3666,"base":13}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":6200,"base":13}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":1128,"base":13}}}}},"used_operators":["2DQ55sFlQl","EBcxylXtPf","DyGG3AbaNP","T2fj7uvVaJ","zVYPLywUTj","uFcxV4UQCh","rJVOvQCfKK","tmPS8pqC7x","tifHPKVTfV","megm06wKyl","Q3PJZHRvZv"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","fu6greOZ01"],"result":"⪎⋱⫍C4","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3306","layer":4},{"info":"number node, value=3668","layer":4},{"info":"compute binary expreesion, left_input=3306, right_input=3668, op_id = T2fj7uvVaJ binary_op_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=4151","layer":4},{"info":"compute unary expreesion, input=4151, 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=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 unary expreesion, input=20, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=1441","layer":1},{"info":"number node, value=1085","layer":4},{"info":"number node, value=2838","layer":4},{"info":"compute binary expreesion, left_input=1085, right_input=2838, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1085","layer":3},{"info":"number node, value=1910","layer":4},{"info":"number node, value=3666","layer":4},{"info":"compute binary expreesion, left_input=1910, right_input=3666, 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=1085, 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=6200","layer":4},{"info":"compute unary expreesion, input=6200, 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=1128","layer":4},{"info":"compute unary expreesion, input=1128, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-21, 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 = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1441, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍1674⋓⪎⋱⫍1892)∼(⪎⋱⫍1B74⊪)⫌⩹⨱)⨵⪆(⪎⋱⫍656⨪↰⇹⪎⋱⫍13A4⨎⪎⋱⫍B3C∼⪎⋱⫍1890)⪛((⨈⫕⪎⋱⫍2A8C)⇼⇔∾(⊥⪎⋱⫍68A))=⪎⋱⫍C4","reverse_text":"⪎⋱⫍C4=((⪎⋱⫍1674⋓⪎⋱⫍1892)∼(⪎⋱⫍1B74⊪)⫌⩹⨱)⨵⪆(⪎⋱⫍656⨪↰⇹⪎⋱⫍13A4⨎⪎⋱⫍B3C∼⪎⋱⫍1890)⪛((⨈⫕⪎⋱⫍2A8C)⇼⇔∾(⊥⪎⋱⫍68A))","cot":[{"info":"⪎⋱⫍1674⋓⪎⋱⫍1892=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍1B74⊪=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍0∼⪎⋱⫍0=⪎⋱⫍17","layer":2},{"info":"⪎⋱⫍17⫌⩹⨱=⪎⋱⫍86B","layer":1},{"info":"⪎⋱⫍656⨪↰⇹⪎⋱⫍13A4=⪎⋱⫍656","layer":3},{"info":"⪎⋱⫍B3C∼⪎⋱⫍1890=NaN","layer":3},{"info":"⪎⋱⫍656⨎NaN=NaN","layer":2},{"info":"⨈⫕⪎⋱⫍2A8C=⪎⋱⫍-18","layer":3},{"info":"⊥⪎⋱⫍68A=NaN","layer":3},{"info":"⪎⋱⫍-18⇼⇔∾NaN=NaN","layer":2},{"info":"NaN⪛NaN=NaN","layer":1},{"info":"⪎⋱⫍86B⨵⪆NaN=⪎⋱⫍C4","layer":0}]}
{"id":551,"expression_no_base_symbol":"(⩦⩻⨪(($1109$⪨≂$4702$)∸))↪⪝","expression":"(⩦⩻⨪((⪎⋱⫍674⪨≂⪎⋱⫍21A9)∸))↪⪝","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":468,"operation_count":4,"complexity_ratio":117.0,"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":1109,"base":13},"right_expr":{"type":"numeric_atoms","value":4702,"base":13}}}}},"used_operators":["l07mrZUIn9","2td37pGCOC","o20kRiQErp","sdazOOVcIp"],"dependent_operators":["9HNa5Wba9A","2DDjHMKMc0","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍2322126","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1109","layer":4},{"info":"number node, value=4702","layer":4},{"info":"compute binary expreesion, left_input=1109, right_input=4702, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-7084","layer":3},{"info":"compute unary expreesion, input=-7084, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":2},{"info":"compute unary expreesion, input=177, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=177","layer":1},{"info":"compute unary expreesion, input=177, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=10829214","layer":0}],"base":13,"result_base":13,"text":"(⩦⩻⨪((⪎⋱⫍674⪨≂⪎⋱⫍21A9)∸))↪⪝=⪎⋱⫍2322126","reverse_text":"⪎⋱⫍2322126=(⩦⩻⨪((⪎⋱⫍674⪨≂⪎⋱⫍21A9)∸))↪⪝","cot":[{"info":"⪎⋱⫍674⪨≂⪎⋱⫍21A9=⪎⋱⫍-32BC","layer":3},{"info":"⪎⋱⫍-32BC∸=⪎⋱⫍108","layer":2},{"info":"⩦⩻⨪⪎⋱⫍108=⪎⋱⫍108","layer":1},{"info":"⪎⋱⫍108↪⪝=⪎⋱⫍2322126","layer":0}]}
{"id":552,"expression_no_base_symbol":"((($6085$⫡⨏$1040$)≫≃)*($1986$⨎$7015$⋷$9320$-$1155$))⨳⩥⨓((⨑⩽⪐$7806$)⩤)≭(↣≠⋷(⨵≀≌$8418$))","expression":"(((⪎⋱⫍2A01⫡⨏⪎⋱⫍620)≫≃)*(⪎⋱⫍B9A⨎⪎⋱⫍3268⋷⪎⋱⫍431C-⪎⋱⫍6AB))⨳⩥⨓((⨑⩽⪐⪎⋱⫍3726)⩤)≭(↣≠⋷(⨵≀≌⪎⋱⫍3AA7))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":9349,"operation_count":12,"complexity_ratio":779.0833333333334,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":6085,"base":13},"right_expr":{"type":"numeric_atoms","value":1040,"base":13}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1986,"base":13},"right_expr":{"type":"numeric_atoms","value":7015,"base":13}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":9320,"base":13},"right_expr":{"type":"numeric_atoms","value":1155,"base":13}}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":7806,"base":13}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":8418,"base":13}}}}},"used_operators":["nCS4ZIUYfx","9HNa5Wba9A","X99M06cbEe","QMFrweE19q","23Mk6UjR3U","rJVOvQCfKK","rysDP5nf3Z","rxpJgHHUmx","Z2TMIBDE3Q","AF7qkfDlqP","Asc51vEJeQ","srAu1WTS94"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","XhwjNDsVaA","AHs5Up7iyr","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=6085","layer":4},{"info":"number node, value=1040","layer":4},{"info":"compute binary expreesion, left_input=6085, right_input=1040, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=33288","layer":3},{"info":"compute unary expreesion, input=33288, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=67977","layer":2},{"info":"number node, value=1986","layer":4},{"info":"number node, value=7015","layer":4},{"info":"compute binary expreesion, left_input=1986, right_input=7015, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=7015","layer":3},{"info":"number node, value=9320","layer":4},{"info":"number node, value=1155","layer":4},{"info":"compute binary expreesion, left_input=9320, right_input=1155, op_id = rysDP5nf3Z binary_op_definition= 'None', output=8165","layer":3},{"info":"compute binary expreesion, left_input=7015, right_input=8165, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=9315","layer":2},{"info":"compute binary expreesion, left_input=67977, right_input=9315, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=633205755","layer":1},{"info":"number node, value=7806","layer":4},{"info":"compute unary expreesion, input=7806, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-7533","layer":3},{"info":"compute unary expreesion, input=-7533, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=7533","layer":2},{"info":"number node, value=8418","layer":4},{"info":"compute unary expreesion, input=8418, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-25254","layer":3},{"info":"compute unary expreesion, input=-25254, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=7533, 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=633205755, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(((⪎⋱⫍2A01⫡⨏⪎⋱⫍620)≫≃)*(⪎⋱⫍B9A⨎⪎⋱⫍3268⋷⪎⋱⫍431C-⪎⋱⫍6AB))⨳⩥⨓((⨑⩽⪐⪎⋱⫍3726)⩤)≭(↣≠⋷(⨵≀≌⪎⋱⫍3AA7))=NaN","reverse_text":"NaN=(((⪎⋱⫍2A01⫡⨏⪎⋱⫍620)≫≃)*(⪎⋱⫍B9A⨎⪎⋱⫍3268⋷⪎⋱⫍431C-⪎⋱⫍6AB))⨳⩥⨓((⨑⩽⪐⪎⋱⫍3726)⩤)≭(↣≠⋷(⨵≀≌⪎⋱⫍3AA7))","cot":[{"info":"⪎⋱⫍2A01⫡⨏⪎⋱⫍620=⪎⋱⫍121C8","layer":3},{"info":"⪎⋱⫍121C8≫≃=⪎⋱⫍24C30","layer":2},{"info":"⪎⋱⫍B9A⨎⪎⋱⫍3268=⪎⋱⫍3268","layer":3},{"info":"⪎⋱⫍431C-⪎⋱⫍6AB=⪎⋱⫍3941","layer":3},{"info":"⪎⋱⫍3268⋷⪎⋱⫍3941=⪎⋱⫍4317","layer":2},{"info":"⪎⋱⫍24C30*⪎⋱⫍4317=⪎⋱⫍A1253A80","layer":1},{"info":"⨑⩽⪐⪎⋱⫍3726=⪎⋱⫍-3576","layer":3},{"info":"⪎⋱⫍-3576⩤=⪎⋱⫍3576","layer":2},{"info":"⨵≀≌⪎⋱⫍3AA7=⪎⋱⫍-B658","layer":3},{"info":"↣≠⋷⪎⋱⫍-B658=NaN","layer":2},{"info":"⪎⋱⫍3576≭NaN=NaN","layer":1},{"info":"⪎⋱⫍A1253A80⨳⩥⨓NaN=NaN","layer":0}]}
{"id":553,"expression_no_base_symbol":"(($1057$⊭↱$2598$)⩷∴($5622$≭$1383$))⪮%⊝(≉$2557$⇷$6345$)⨵⪆$4329$⪮%⊝$1417$⨰(⨰⫟⨤$2505$)⩷∴(($1120$⨵⪆$4683$)⨎($4964$↙$1866$))","expression":"((⪎⋱⫍634⊭↱⪎⋱⫍124B)⩷∴(⪎⋱⫍2736≭⪎⋱⫍825))⪮%⊝(≉⪎⋱⫍1219⇷⪎⋱⫍2B71)⨵⪆⪎⋱⫍1C80⪮%⊝⪎⋱⫍850⨰(⨰⫟⨤⪎⋱⫍11A9)⩷∴((⪎⋱⫍682⨵⪆⪎⋱⫍2193)⨎(⪎⋱⫍234B↙⪎⋱⫍B07))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":46901,"operation_count":14,"complexity_ratio":3350.0714285714284,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1057,"base":13},"right_expr":{"type":"numeric_atoms","value":2598,"base":13}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":5622,"base":13},"right_expr":{"type":"numeric_atoms","value":1383,"base":13}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2557,"base":13},"right_expr":{"type":"numeric_atoms","value":6345,"base":13}}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":4329,"base":13},"right_expr":{"type":"numeric_atoms","value":1417,"base":13}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":2505,"base":13}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1120,"base":13},"right_expr":{"type":"numeric_atoms","value":4683,"base":13}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":4964,"base":13},"right_expr":{"type":"numeric_atoms","value":1866,"base":13}}}}},"used_operators":["2DQ55sFlQl","IWmyXbctLI","9FxExcQeMw","COABgblf1C","rxpJgHHUmx","e1ybzncUwg","mp7IySMOzn","eewbuw0ToL","Tw270M8GLb","rJVOvQCfKK","yyfyN0ffXY"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","tmPS8pqC7x","DpFCA1CohY"],"result":"⪎⋱⫍C4","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1057","layer":4},{"info":"number node, value=2598","layer":4},{"info":"compute binary expreesion, left_input=1057, right_input=2598, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=3087","layer":3},{"info":"number node, value=5622","layer":4},{"info":"number node, value=1383","layer":4},{"info":"compute binary expreesion, left_input=5622, right_input=1383, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=3087, 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=2557","layer":4},{"info":"number node, value=6345","layer":4},{"info":"compute binary expreesion, left_input=2557, right_input=6345, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=12690","layer":3},{"info":"compute unary expreesion, input=12690, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=13221","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=13221, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":1},{"info":"number node, value=4329","layer":4},{"info":"number node, value=1417","layer":4},{"info":"compute binary expreesion, left_input=4329, right_input=1417, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=8974","layer":3},{"info":"number node, value=2505","layer":4},{"info":"compute unary expreesion, input=2505, 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=8974, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":2},{"info":"number node, value=1120","layer":4},{"info":"number node, value=4683","layer":4},{"info":"compute binary expreesion, left_input=1120, right_input=4683, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=4964","layer":4},{"info":"number node, value=1866","layer":4},{"info":"compute binary expreesion, left_input=4964, right_input=1866, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-5598","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-5598, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-5598","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-5598, 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 = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍634⊭↱⪎⋱⫍124B)⩷∴(⪎⋱⫍2736≭⪎⋱⫍825))⪮%⊝(≉⪎⋱⫍1219⇷⪎⋱⫍2B71)⨵⪆⪎⋱⫍1C80⪮%⊝⪎⋱⫍850⨰(⨰⫟⨤⪎⋱⫍11A9)⩷∴((⪎⋱⫍682⨵⪆⪎⋱⫍2193)⨎(⪎⋱⫍234B↙⪎⋱⫍B07))=⪎⋱⫍C4","reverse_text":"⪎⋱⫍C4=((⪎⋱⫍634⊭↱⪎⋱⫍124B)⩷∴(⪎⋱⫍2736≭⪎⋱⫍825))⪮%⊝(≉⪎⋱⫍1219⇷⪎⋱⫍2B71)⨵⪆⪎⋱⫍1C80⪮%⊝⪎⋱⫍850⨰(⨰⫟⨤⪎⋱⫍11A9)⩷∴((⪎⋱⫍682⨵⪆⪎⋱⫍2193)⨎(⪎⋱⫍234B↙⪎⋱⫍B07))","cot":[{"info":"⪎⋱⫍634⊭↱⪎⋱⫍124B=⪎⋱⫍1536","layer":3},{"info":"⪎⋱⫍2736≭⪎⋱⫍825=NaN","layer":3},{"info":"⪎⋱⫍1536⩷∴NaN=NaN","layer":2},{"info":"⪎⋱⫍1219⇷⪎⋱⫍2B71=⪎⋱⫍5A12","layer":3},{"info":"≉⪎⋱⫍5A12=⪎⋱⫍6030","layer":2},{"info":"NaN⪮%⊝⪎⋱⫍6030=NaN","layer":1},{"info":"⪎⋱⫍1C80⪮%⊝⪎⋱⫍850=⪎⋱⫍4114","layer":3},{"info":"⨰⫟⨤⪎⋱⫍11A9=NaN","layer":3},{"info":"⪎⋱⫍4114⨰NaN=NaN","layer":2},{"info":"⪎⋱⫍682⨵⪆⪎⋱⫍2193=⪎⋱⫍C4","layer":3},{"info":"⪎⋱⫍234B↙⪎⋱⫍B07=⪎⋱⫍-2718","layer":3},{"info":"⪎⋱⫍C4⨎⪎⋱⫍-2718=⪎⋱⫍-2718","layer":2},{"info":"NaN⩷∴⪎⋱⫍-2718=NaN","layer":1},{"info":"NaN⨵⪆NaN=⪎⋱⫍C4","layer":0}]}
{"id":554,"expression_no_base_symbol":"-(($3339$⪨≂$5024$)⇋≉)⪄(⊙↵-$2470$⪢$5066$)","expression":"-((⪎⋱⫍169B⪨≂⪎⋱⫍2396)⇋≉)⪄(⊙↵-⪎⋱⫍1180⪢⪎⋱⫍23C9)","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":5194,"operation_count":6,"complexity_ratio":865.6666666666666,"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":3339,"base":13},"right_expr":{"type":"numeric_atoms","value":5024,"base":13}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2470,"base":13},"right_expr":{"type":"numeric_atoms","value":5066,"base":13}}}}},"used_operators":["t8gj7n24qd","SUmda5xLS4","XIabStNQrY","sdazOOVcIp","oWn0xqSxBt","dWAJyo7jo9"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","k8jYdgA6NY"],"result":"⪎⋱⫍-1A71","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3339","layer":4},{"info":"number node, value=5024","layer":4},{"info":"compute binary expreesion, left_input=3339, right_input=5024, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-3268","layer":3},{"info":"compute unary expreesion, input=-3268, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=-6634","layer":2},{"info":"number node, value=2470","layer":4},{"info":"number node, value=5066","layer":4},{"info":"compute binary expreesion, left_input=2470, right_input=5066, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-6634, 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 unary expreesion, input=3979, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-3979","layer":0}],"base":13,"result_base":13,"text":"-((⪎⋱⫍169B⪨≂⪎⋱⫍2396)⇋≉)⪄(⊙↵-⪎⋱⫍1180⪢⪎⋱⫍23C9)=⪎⋱⫍-1A71","reverse_text":"⪎⋱⫍-1A71=-((⪎⋱⫍169B⪨≂⪎⋱⫍2396)⇋≉)⪄(⊙↵-⪎⋱⫍1180⪢⪎⋱⫍23C9)","cot":[{"info":"⪎⋱⫍169B⪨≂⪎⋱⫍2396=⪎⋱⫍-1645","layer":3},{"info":"⪎⋱⫍-1645⇋≉=⪎⋱⫍-3034","layer":2},{"info":"⪎⋱⫍1180⪢⪎⋱⫍23C9=NaN","layer":3},{"info":"⊙↵-NaN=NaN","layer":2},{"info":"⪎⋱⫍-3034⪄NaN=⪎⋱⫍1A71","layer":1},{"info":"-⪎⋱⫍1A71=⪎⋱⫍-1A71","layer":0}]}
{"id":555,"expression_no_base_symbol":"(((⋗⩬⋾$1933$)⪄$1116$⨽$1953$)↙(≦∁$5673$⪛$1237$))⇷(($5041$≎⊠⪸$5234$)∀⇚≩($1456$↛⩡⫤)⪠⩆⊳)","expression":"(((⋗⩬⋾⪎⋱⫍B59)⪄⪎⋱⫍67B⨽⪎⋱⫍B73)↙(≦∁⪎⋱⫍2775⪛⪎⋱⫍742))⇷((⪎⋱⫍23AA≎⊠⪸⪎⋱⫍24C8)∀⇚≩(⪎⋱⫍880↛⩡⫤)⪠⩆⊳)","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":37191,"operation_count":11,"complexity_ratio":3381.0,"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":1933,"base":13}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1116,"base":13},"right_expr":{"type":"numeric_atoms","value":1953,"base":13}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":5673,"base":13},"right_expr":{"type":"numeric_atoms","value":1237,"base":13}}}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":5041,"base":13},"right_expr":{"type":"numeric_atoms","value":5234,"base":13}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":1456,"base":13}}}}},"used_operators":["mp7IySMOzn","yyfyN0ffXY","SUmda5xLS4","DpFCA1CohY","8HhzD0ZcuI","9ICcGScMcE","uFcxV4UQCh","JLbD19bQDL","LRNGc0VcxI","bJkvcejdHO","FU0Cs4j7VP"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","tmPS8pqC7x","DpFCA1CohY","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1933","layer":4},{"info":"compute unary expreesion, input=1933, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-5799","layer":3},{"info":"number node, value=1116","layer":4},{"info":"number node, value=1953","layer":4},{"info":"compute binary expreesion, left_input=1116, right_input=1953, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-3740913","layer":3},{"info":"compute binary expreesion, left_input=-5799, right_input=-3740913, 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=5673","layer":4},{"info":"number node, value=1237","layer":4},{"info":"compute binary expreesion, left_input=5673, right_input=1237, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=725","layer":3},{"info":"compute unary expreesion, input=725, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=725","layer":2},{"info":"compute binary expreesion, left_input=3979, right_input=725, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-2175","layer":1},{"info":"number node, value=5041","layer":4},{"info":"number node, value=5234","layer":4},{"info":"compute binary expreesion, left_input=5041, right_input=5234, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1305146","layer":3},{"info":"number node, value=1456","layer":4},{"info":"compute unary expreesion, input=1456, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-215945","layer":3},{"info":"compute binary expreesion, left_input=1305146, right_input=-215945, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = 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=-2175, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(((⋗⩬⋾⪎⋱⫍B59)⪄⪎⋱⫍67B⨽⪎⋱⫍B73)↙(≦∁⪎⋱⫍2775⪛⪎⋱⫍742))⇷((⪎⋱⫍23AA≎⊠⪸⪎⋱⫍24C8)∀⇚≩(⪎⋱⫍880↛⩡⫤)⪠⩆⊳)=NaN","reverse_text":"NaN=(((⋗⩬⋾⪎⋱⫍B59)⪄⪎⋱⫍67B⨽⪎⋱⫍B73)↙(≦∁⪎⋱⫍2775⪛⪎⋱⫍742))⇷((⪎⋱⫍23AA≎⊠⪸⪎⋱⫍24C8)∀⇚≩(⪎⋱⫍880↛⩡⫤)⪠⩆⊳)","cot":[{"info":"⋗⩬⋾⪎⋱⫍B59=⪎⋱⫍-2841","layer":3},{"info":"⪎⋱⫍67B⨽⪎⋱⫍B73=⪎⋱⫍-A0C977","layer":3},{"info":"⪎⋱⫍-2841⪄⪎⋱⫍-A0C977=⪎⋱⫍1A71","layer":2},{"info":"⪎⋱⫍2775⪛⪎⋱⫍742=⪎⋱⫍43A","layer":3},{"info":"≦∁⪎⋱⫍43A=⪎⋱⫍43A","layer":2},{"info":"⪎⋱⫍1A71↙⪎⋱⫍43A=⪎⋱⫍-CB4","layer":1},{"info":"⪎⋱⫍23AA≎⊠⪸⪎⋱⫍24C8=⪎⋱⫍36909B","layer":3},{"info":"⪎⋱⫍880↛⩡⫤=⪎⋱⫍-773A2","layer":3},{"info":"⪎⋱⫍36909B∀⇚≩⪎⋱⫍-773A2=NaN","layer":2},{"info":"NaN⪠⩆⊳=NaN","layer":1},{"info":"⪎⋱⫍-CB4⇷NaN=NaN","layer":0}]}
{"id":556,"expression_no_base_symbol":"(⇁⨣⪵$5126$∼$1393$)⪛($3165$⊴$1048$⊦⊿)⨐⩸⫘((↩$1485$)∼($2599$⪄$1986$))⪮%⊝($1110$%$1732$+$1006$+⇶⊼$1353$)","expression":"(⇁⨣⪵⪎⋱⫍2444∼⪎⋱⫍832)⪛(⪎⋱⫍1596⊴⪎⋱⫍628⊦⊿)⨐⩸⫘((↩⪎⋱⫍8A3)∼(⪎⋱⫍124C⪄⪎⋱⫍B9A))⪮%⊝(⪎⋱⫍675%⪎⋱⫍A33+⪎⋱⫍5C5+⇶⊼⪎⋱⫍801)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1832,"operation_count":13,"complexity_ratio":140.92307692307693,"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":5126,"base":13},"right_expr":{"type":"numeric_atoms","value":1393,"base":13}}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":3165,"base":13},"right_expr":{"type":"numeric_atoms","value":1048,"base":13}}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":1485,"base":13}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2599,"base":13},"right_expr":{"type":"numeric_atoms","value":1986,"base":13}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1110,"base":13},"right_expr":{"type":"numeric_atoms","value":1732,"base":13}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1006,"base":13},"right_expr":{"type":"numeric_atoms","value":1353,"base":13}}}}},"used_operators":["fu6greOZ01","uFcxV4UQCh","inkyxCbjAn","DyGG3AbaNP","14qkJME0vr","Nsiff2A1zJ","IWmyXbctLI","jLgFTUHLKL","SUmda5xLS4","W4YGzv6Whe","k8jYdgA6NY","TpPTUOHfaN"],"dependent_operators":["3ViojmjbAp","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","B5M0gjZbta","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5126","layer":4},{"info":"number node, value=1393","layer":4},{"info":"compute binary expreesion, left_input=5126, right_input=1393, 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 = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"number node, value=3165","layer":4},{"info":"number node, value=1048","layer":4},{"info":"compute binary expreesion, left_input=3165, right_input=1048, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":1},{"info":"number node, value=1485","layer":4},{"info":"compute unary expreesion, input=1485, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-9100","layer":3},{"info":"number node, value=2599","layer":4},{"info":"number node, value=1986","layer":4},{"info":"compute binary expreesion, left_input=2599, right_input=1986, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-388685","layer":3},{"info":"compute binary expreesion, left_input=-9100, right_input=-388685, 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=1110","layer":4},{"info":"number node, value=1732","layer":4},{"info":"compute binary expreesion, left_input=1110, right_input=1732, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1110","layer":3},{"info":"number node, value=1006","layer":4},{"info":"number node, value=1353","layer":4},{"info":"compute binary expreesion, left_input=1006, right_input=1353, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=1110, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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 = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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":13,"result_base":13,"text":"(⇁⨣⪵⪎⋱⫍2444∼⪎⋱⫍832)⪛(⪎⋱⫍1596⊴⪎⋱⫍628⊦⊿)⨐⩸⫘((↩⪎⋱⫍8A3)∼(⪎⋱⫍124C⪄⪎⋱⫍B9A))⪮%⊝(⪎⋱⫍675%⪎⋱⫍A33+⪎⋱⫍5C5+⇶⊼⪎⋱⫍801)=NaN","reverse_text":"NaN=(⇁⨣⪵⪎⋱⫍2444∼⪎⋱⫍832)⪛(⪎⋱⫍1596⊴⪎⋱⫍628⊦⊿)⨐⩸⫘((↩⪎⋱⫍8A3)∼(⪎⋱⫍124C⪄⪎⋱⫍B9A))⪮%⊝(⪎⋱⫍675%⪎⋱⫍A33+⪎⋱⫍5C5+⇶⊼⪎⋱⫍801)","cot":[{"info":"⪎⋱⫍2444∼⪎⋱⫍832=NaN","layer":3},{"info":"⇁⨣⪵NaN=NaN","layer":2},{"info":"⪎⋱⫍1596⊴⪎⋱⫍628=NaN","layer":3},{"info":"NaN⊦⊿=NaN","layer":2},{"info":"NaN⪛NaN=NaN","layer":1},{"info":"↩⪎⋱⫍8A3=⪎⋱⫍-41B0","layer":3},{"info":"⪎⋱⫍124C⪄⪎⋱⫍B9A=⪎⋱⫍-107BBB","layer":3},{"info":"⪎⋱⫍-41B0∼⪎⋱⫍-107BBB=NaN","layer":2},{"info":"⪎⋱⫍675%⪎⋱⫍A33=⪎⋱⫍675","layer":3},{"info":"⪎⋱⫍5C5+⇶⊼⪎⋱⫍801=NaN","layer":3},{"info":"⪎⋱⫍675+NaN=NaN","layer":2},{"info":"NaN⪮%⊝NaN=NaN","layer":1},{"info":"NaN⨐⩸⫘NaN=NaN","layer":0}]}
{"id":557,"expression_no_base_symbol":"($6086$⪛$4448$≧⫂∧($3426$⨎$1193$))⪛(($2805$⫸⊐$1034$)+⇶⊼($2442$%$2250$))⇷($1171$⊴$2281$⨐⩸⫘(↩$3003$))⪛(⫓⪴$3303$⪛$1043$)","expression":"(⪎⋱⫍2A02⪛⪎⋱⫍2042≧⫂∧(⪎⋱⫍1737⨎⪎⋱⫍70A))⪛((⪎⋱⫍137A⫸⊐⪎⋱⫍617)+⇶⊼(⪎⋱⫍115B%⪎⋱⫍1041))⇷(⪎⋱⫍6C1⊴⪎⋱⫍1066⨐⩸⫘(↩⪎⋱⫍14A0))⪛(⫓⪴⪎⋱⫍1671⪛⪎⋱⫍623)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2531,"operation_count":14,"complexity_ratio":180.78571428571428,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":6086,"base":13},"right_expr":{"type":"numeric_atoms","value":4448,"base":13}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":3426,"base":13},"right_expr":{"type":"numeric_atoms","value":1193,"base":13}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2805,"base":13},"right_expr":{"type":"numeric_atoms","value":1034,"base":13}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2442,"base":13},"right_expr":{"type":"numeric_atoms","value":2250,"base":13}}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1171,"base":13},"right_expr":{"type":"numeric_atoms","value":2281,"base":13}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":3003,"base":13}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":3303,"base":13},"right_expr":{"type":"numeric_atoms","value":1043,"base":13}}}}},"used_operators":["mp7IySMOzn","uFcxV4UQCh","Ph9nP6C5qx","rJVOvQCfKK","TpPTUOHfaN","mqXw5SEYmG","k8jYdgA6NY","fu6greOZ01","Nsiff2A1zJ","jLgFTUHLKL","eLxqMNBOBk"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","3ViojmjbAp","dWAJyo7jo9","14qkJME0vr","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=6086","layer":4},{"info":"number node, value=4448","layer":4},{"info":"compute binary expreesion, left_input=6086, right_input=4448, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1638","layer":3},{"info":"number node, value=3426","layer":4},{"info":"number node, value=1193","layer":4},{"info":"compute binary expreesion, left_input=3426, right_input=1193, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1193","layer":3},{"info":"compute binary expreesion, left_input=1638, right_input=1193, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=720","layer":2},{"info":"number node, value=2805","layer":4},{"info":"number node, value=1034","layer":4},{"info":"compute binary expreesion, left_input=2805, right_input=1034, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=4011","layer":3},{"info":"number node, value=2442","layer":4},{"info":"number node, value=2250","layer":4},{"info":"compute binary expreesion, left_input=2442, right_input=2250, op_id = k8jYdgA6NY binary_op_definition= 'None', output=192","layer":3},{"info":"compute binary expreesion, left_input=4011, right_input=192, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=720, 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=1171","layer":4},{"info":"number node, value=2281","layer":4},{"info":"compute binary expreesion, left_input=1171, right_input=2281, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=3003","layer":4},{"info":"compute unary expreesion, input=3003, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-21244","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-21244, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=3303","layer":4},{"info":"number node, value=1043","layer":4},{"info":"compute binary expreesion, left_input=3303, right_input=1043, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=174","layer":3},{"info":"compute unary expreesion, input=174, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=30276","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=30276, 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 = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍2A02⪛⪎⋱⫍2042≧⫂∧(⪎⋱⫍1737⨎⪎⋱⫍70A))⪛((⪎⋱⫍137A⫸⊐⪎⋱⫍617)+⇶⊼(⪎⋱⫍115B%⪎⋱⫍1041))⇷(⪎⋱⫍6C1⊴⪎⋱⫍1066⨐⩸⫘(↩⪎⋱⫍14A0))⪛(⫓⪴⪎⋱⫍1671⪛⪎⋱⫍623)=NaN","reverse_text":"NaN=(⪎⋱⫍2A02⪛⪎⋱⫍2042≧⫂∧(⪎⋱⫍1737⨎⪎⋱⫍70A))⪛((⪎⋱⫍137A⫸⊐⪎⋱⫍617)+⇶⊼(⪎⋱⫍115B%⪎⋱⫍1041))⇷(⪎⋱⫍6C1⊴⪎⋱⫍1066⨐⩸⫘(↩⪎⋱⫍14A0))⪛(⫓⪴⪎⋱⫍1671⪛⪎⋱⫍623)","cot":[{"info":"⪎⋱⫍2A02⪛⪎⋱⫍2042=⪎⋱⫍990","layer":3},{"info":"⪎⋱⫍1737⨎⪎⋱⫍70A=⪎⋱⫍70A","layer":3},{"info":"⪎⋱⫍990≧⫂∧⪎⋱⫍70A=⪎⋱⫍435","layer":2},{"info":"⪎⋱⫍137A⫸⊐⪎⋱⫍617=⪎⋱⫍1A97","layer":3},{"info":"⪎⋱⫍115B%⪎⋱⫍1041=⪎⋱⫍11A","layer":3},{"info":"⪎⋱⫍1A97+⇶⊼⪎⋱⫍11A=NaN","layer":2},{"info":"⪎⋱⫍435⪛NaN=NaN","layer":1},{"info":"⪎⋱⫍6C1⊴⪎⋱⫍1066=NaN","layer":3},{"info":"↩⪎⋱⫍14A0=⪎⋱⫍-9892","layer":3},{"info":"NaN⨐⩸⫘⪎⋱⫍-9892=NaN","layer":2},{"info":"⪎⋱⫍1671⪛⪎⋱⫍623=⪎⋱⫍105","layer":3},{"info":"⫓⪴⪎⋱⫍105=⪎⋱⫍10A1C","layer":2},{"info":"NaN⪛⪎⋱⫍10A1C=NaN","layer":1},{"info":"NaN⇷NaN=NaN","layer":0}]}
{"id":558,"expression_no_base_symbol":"(⊄⩳↩(($1676$⪨≂$1492$)↙(↣≠⋷$4968$)))⊴(↩($1260$⫌⩹⨱)↙$1187$⪛$2582$)","expression":"(⊄⩳↩((⪎⋱⫍9BC⪨≂⪎⋱⫍8AA)↙(↣≠⋷⪎⋱⫍2352)))⊴(↩(⪎⋱⫍75C⫌⩹⨱)↙⪎⋱⫍704⪛⪎⋱⫍1238)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":18106,"operation_count":9,"complexity_ratio":2011.7777777777778,"tree":{"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":13},"right_expr":{"type":"numeric_atoms","value":1492,"base":13}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":4968,"base":13}}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":1260,"base":13}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1187,"base":13},"right_expr":{"type":"numeric_atoms","value":2582,"base":13}}}}},"used_operators":["Nsiff2A1zJ","8w2t5hMYqp","yyfyN0ffXY","sdazOOVcIp","Asc51vEJeQ","jLgFTUHLKL","EBcxylXtPf","uFcxV4UQCh"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe","rysDP5nf3Z","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1676","layer":4},{"info":"number node, value=1492","layer":4},{"info":"compute binary expreesion, left_input=1676, right_input=1492, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=470","layer":3},{"info":"number node, value=4968","layer":4},{"info":"compute unary expreesion, input=4968, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=470, 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 = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=nan","layer":1},{"info":"number node, value=1260","layer":4},{"info":"compute unary expreesion, input=1260, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=3921","layer":3},{"info":"number node, value=1187","layer":4},{"info":"number node, value=2582","layer":4},{"info":"compute binary expreesion, left_input=1187, right_input=2582, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1187","layer":3},{"info":"compute binary expreesion, left_input=3921, right_input=1187, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3561","layer":2},{"info":"compute unary expreesion, input=-3561, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=16864","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=16864, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⊄⩳↩((⪎⋱⫍9BC⪨≂⪎⋱⫍8AA)↙(↣≠⋷⪎⋱⫍2352)))⊴(↩(⪎⋱⫍75C⫌⩹⨱)↙⪎⋱⫍704⪛⪎⋱⫍1238)=NaN","reverse_text":"NaN=(⊄⩳↩((⪎⋱⫍9BC⪨≂⪎⋱⫍8AA)↙(↣≠⋷⪎⋱⫍2352)))⊴(↩(⪎⋱⫍75C⫌⩹⨱)↙⪎⋱⫍704⪛⪎⋱⫍1238)","cot":[{"info":"⪎⋱⫍9BC⪨≂⪎⋱⫍8AA=⪎⋱⫍2A2","layer":3},{"info":"↣≠⋷⪎⋱⫍2352=NaN","layer":3},{"info":"⪎⋱⫍2A2↙NaN=NaN","layer":2},{"info":"⊄⩳↩NaN=NaN","layer":1},{"info":"⪎⋱⫍75C⫌⩹⨱=⪎⋱⫍1A28","layer":3},{"info":"⪎⋱⫍704⪛⪎⋱⫍1238=⪎⋱⫍704","layer":3},{"info":"⪎⋱⫍1A28↙⪎⋱⫍704=⪎⋱⫍-180C","layer":2},{"info":"↩⪎⋱⫍-180C=⪎⋱⫍78A3","layer":1},{"info":"NaN⊴⪎⋱⫍78A3=NaN","layer":0}]}
{"id":559,"expression_no_base_symbol":"(($5165$⪠⩆⊳)∀⇚≩(⨵≀≌$1052$)⋝⋈⪟(($1164$⋷$4220$)+⇶⊼($1541$⨎$2025$)))⇷(⨑⩽⪐($1505$⨟⋌⩍$3797$↺($1033$⇼⇔∾$4459$)))","expression":"((⪎⋱⫍2474⪠⩆⊳)∀⇚≩(⨵≀≌⪎⋱⫍62C)⋝⋈⪟((⪎⋱⫍6B7⋷⪎⋱⫍1BC8)+⇶⊼(⪎⋱⫍917⨎⪎⋱⫍BCA)))⇷(⨑⩽⪐(⪎⋱⫍8BA⨟⋌⩍⪎⋱⫍1961↺(⪎⋱⫍616⇼⇔∾⪎⋱⫍2050)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":36,"operation_count":12,"complexity_ratio":3.0,"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":5165,"base":13}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1052,"base":13}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1164,"base":13},"right_expr":{"type":"numeric_atoms","value":4220,"base":13}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1541,"base":13},"right_expr":{"type":"numeric_atoms","value":2025,"base":13}}}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1505,"base":13},"right_expr":{"type":"numeric_atoms","value":3797,"base":13}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1033,"base":13},"right_expr":{"type":"numeric_atoms","value":4459,"base":13}}}}},"used_operators":["mp7IySMOzn","2DDjHMKMc0","LRNGc0VcxI","JLbD19bQDL","srAu1WTS94","TpPTUOHfaN","23Mk6UjR3U","rJVOvQCfKK","AF7qkfDlqP","7j4O788W3g","rGHVDoGpnC","tifHPKVTfV"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5165","layer":4},{"info":"compute unary expreesion, input=5165, 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=1052","layer":4},{"info":"compute unary expreesion, input=1052, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-3156","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-3156, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=-3156","layer":2},{"info":"number node, value=1164","layer":4},{"info":"number node, value=4220","layer":4},{"info":"compute binary expreesion, left_input=1164, right_input=4220, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=7276","layer":3},{"info":"number node, value=1541","layer":4},{"info":"number node, value=2025","layer":4},{"info":"compute binary expreesion, left_input=1541, 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":"compute binary expreesion, left_input=7276, right_input=2025, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=-3156, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":1},{"info":"number node, value=1505","layer":4},{"info":"number node, value=3797","layer":4},{"info":"compute binary expreesion, left_input=1505, right_input=3797, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=1033","layer":4},{"info":"number node, value=4459","layer":4},{"info":"compute binary expreesion, left_input=1033, right_input=4459, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=3426","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3426, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3426","layer":2},{"info":"compute unary expreesion, input=3426, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-3153","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-3153, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍2474⪠⩆⊳)∀⇚≩(⨵≀≌⪎⋱⫍62C)⋝⋈⪟((⪎⋱⫍6B7⋷⪎⋱⫍1BC8)+⇶⊼(⪎⋱⫍917⨎⪎⋱⫍BCA)))⇷(⨑⩽⪐(⪎⋱⫍8BA⨟⋌⩍⪎⋱⫍1961↺(⪎⋱⫍616⇼⇔∾⪎⋱⫍2050)))=NaN","reverse_text":"NaN=((⪎⋱⫍2474⪠⩆⊳)∀⇚≩(⨵≀≌⪎⋱⫍62C)⋝⋈⪟((⪎⋱⫍6B7⋷⪎⋱⫍1BC8)+⇶⊼(⪎⋱⫍917⨎⪎⋱⫍BCA)))⇷(⨑⩽⪐(⪎⋱⫍8BA⨟⋌⩍⪎⋱⫍1961↺(⪎⋱⫍616⇼⇔∾⪎⋱⫍2050)))","cot":[{"info":"⪎⋱⫍2474⪠⩆⊳=⪎⋱⫍0","layer":3},{"info":"⨵≀≌⪎⋱⫍62C=⪎⋱⫍-158A","layer":3},{"info":"⪎⋱⫍0∀⇚≩⪎⋱⫍-158A=⪎⋱⫍-158A","layer":2},{"info":"⪎⋱⫍6B7⋷⪎⋱⫍1BC8=⪎⋱⫍3409","layer":3},{"info":"⪎⋱⫍917⨎⪎⋱⫍BCA=⪎⋱⫍BCA","layer":3},{"info":"⪎⋱⫍3409+⇶⊼⪎⋱⫍BCA=NaN","layer":2},{"info":"⪎⋱⫍-158A⋝⋈⪟NaN=NaN","layer":1},{"info":"⪎⋱⫍8BA⨟⋌⩍⪎⋱⫍1961=NaN","layer":3},{"info":"⪎⋱⫍616⇼⇔∾⪎⋱⫍2050=⪎⋱⫍1737","layer":3},{"info":"NaN↺⪎⋱⫍1737=⪎⋱⫍1737","layer":2},{"info":"⨑⩽⪐⪎⋱⫍1737=⪎⋱⫍-1587","layer":1},{"info":"NaN⇷⪎⋱⫍-1587=NaN","layer":0}]}
{"id":560,"expression_no_base_symbol":"≤/(∥⊫$3817$)⇷($9619$⊦⊿)≎⊠⪸(⊄⩳↩($1344$⨐⩸⫘$1140$))","expression":"≤/(∥⊫⪎⋱⫍1978)⇷(⪎⋱⫍44BC⊦⊿)≎⊠⪸(⊄⩳↩(⪎⋱⫍7C5⨐⩸⫘⪎⋱⫍699))","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":65624,"operation_count":7,"complexity_ratio":9374.857142857143,"tree":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":3817,"base":13}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":9619,"base":13}}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1344,"base":13},"right_expr":{"type":"numeric_atoms","value":1140,"base":13}}}}},"used_operators":["eLAdDNolq6","bJkvcejdHO","mp7IySMOzn","P8v4zCKN1o","14qkJME0vr","8w2t5hMYqp","fu6greOZ01"],"dependent_operators":["rysDP5nf3Z","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp"],"result":"⪎⋱⫍261","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3817","layer":4},{"info":"compute unary expreesion, input=3817, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=4685","layer":3},{"info":"number node, value=9619","layer":4},{"info":"compute unary expreesion, input=9619, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-28936","layer":3},{"info":"compute binary expreesion, left_input=4685, right_input=-28936, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"number node, value=1344","layer":4},{"info":"number node, value=1140","layer":4},{"info":"compute binary expreesion, left_input=1344, right_input=1140, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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":"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 unary expreesion, input=67, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=417","layer":0}],"base":13,"result_base":13,"text":"≤/(∥⊫⪎⋱⫍1978)⇷(⪎⋱⫍44BC⊦⊿)≎⊠⪸(⊄⩳↩(⪎⋱⫍7C5⨐⩸⫘⪎⋱⫍699))=⪎⋱⫍261","reverse_text":"⪎⋱⫍261=≤/(∥⊫⪎⋱⫍1978)⇷(⪎⋱⫍44BC⊦⊿)≎⊠⪸(⊄⩳↩(⪎⋱⫍7C5⨐⩸⫘⪎⋱⫍699))","cot":[{"info":"∥⊫⪎⋱⫍1978=⪎⋱⫍2195","layer":3},{"info":"⪎⋱⫍44BC⊦⊿=⪎⋱⫍-1022B","layer":3},{"info":"⪎⋱⫍2195⇷⪎⋱⫍-1022B=NaN","layer":2},{"info":"⪎⋱⫍7C5⨐⩸⫘⪎⋱⫍699=NaN","layer":3},{"info":"⊄⩳↩NaN=NaN","layer":2},{"info":"NaN≎⊠⪸NaN=⪎⋱⫍52","layer":1},{"info":"≤/⪎⋱⫍52=⪎⋱⫍261","layer":0}]}
{"id":561,"expression_no_base_symbol":"↔(⪲⇎($2911$⨐⩸⫘$3539$↙($1167$↙$1641$)))","expression":"↔(⪲⇎(⪎⋱⫍142C⨐⩸⫘⪎⋱⫍17C3↙(⪎⋱⫍6BA↙⪎⋱⫍993)))","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1670,"operation_count":5,"complexity_ratio":334.0,"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":2911,"base":13},"right_expr":{"type":"numeric_atoms","value":3539,"base":13}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1167,"base":13},"right_expr":{"type":"numeric_atoms","value":1641,"base":13}}}}},"used_operators":["ruOEQAzv1W","XPYlsWDdGa","yyfyN0ffXY","fu6greOZ01"],"dependent_operators":["XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","3ViojmjbAp"],"result":"⪎⋱⫍-A4","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2911","layer":4},{"info":"number node, value=3539","layer":4},{"info":"compute binary expreesion, left_input=2911, right_input=3539, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=1167","layer":4},{"info":"number node, value=1641","layer":4},{"info":"compute binary expreesion, left_input=1167, right_input=1641, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-4923","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-4923, 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 = 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 = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":0}],"base":13,"result_base":13,"text":"↔(⪲⇎(⪎⋱⫍142C⨐⩸⫘⪎⋱⫍17C3↙(⪎⋱⫍6BA↙⪎⋱⫍993)))=⪎⋱⫍-A4","reverse_text":"⪎⋱⫍-A4=↔(⪲⇎(⪎⋱⫍142C⨐⩸⫘⪎⋱⫍17C3↙(⪎⋱⫍6BA↙⪎⋱⫍993)))","cot":[{"info":"⪎⋱⫍142C⨐⩸⫘⪎⋱⫍17C3=NaN","layer":3},{"info":"⪎⋱⫍6BA↙⪎⋱⫍993=⪎⋱⫍-2319","layer":3},{"info":"NaN↙⪎⋱⫍-2319=NaN","layer":2},{"info":"⪲⇎NaN=NaN","layer":1},{"info":"↔NaN=⪎⋱⫍-A4","layer":0}]}
{"id":562,"expression_no_base_symbol":"↣≠⋷(($4492$↙$3321$⊠≄⫣)⪮%⊝((⫛⫱⨽$1104$)⨓($2478$⊪)))","expression":"↣≠⋷((⪎⋱⫍2077↙⪎⋱⫍1686⊠≄⫣)⪮%⊝((⫛⫱⨽⪎⋱⫍66C)⨓(⪎⋱⫍1188⊪)))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":4801,"operation_count":7,"complexity_ratio":685.8571428571429,"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":4492,"base":13},"right_expr":{"type":"numeric_atoms","value":3321,"base":13}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":1104,"base":13}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":2478,"base":13}}}}},"used_operators":["Asc51vEJeQ","IWmyXbctLI","DIvbN7qnHd","yyfyN0ffXY","3ViojmjbAp","DlLNRPXxWL","zVYPLywUTj"],"dependent_operators":["XhwjNDsVaA","AHs5Up7iyr","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rGHVDoGpnC","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4492","layer":4},{"info":"number node, value=3321","layer":4},{"info":"compute binary expreesion, left_input=4492, right_input=3321, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-9963","layer":3},{"info":"compute unary expreesion, input=-9963, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":2},{"info":"number node, value=1104","layer":4},{"info":"compute unary expreesion, input=1104, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=2478","layer":4},{"info":"compute unary expreesion, input=2478, 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=0, 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=0, 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 = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"↣≠⋷((⪎⋱⫍2077↙⪎⋱⫍1686⊠≄⫣)⪮%⊝((⫛⫱⨽⪎⋱⫍66C)⨓(⪎⋱⫍1188⊪)))=NaN","reverse_text":"NaN=↣≠⋷((⪎⋱⫍2077↙⪎⋱⫍1686⊠≄⫣)⪮%⊝((⫛⫱⨽⪎⋱⫍66C)⨓(⪎⋱⫍1188⊪)))","cot":[{"info":"⪎⋱⫍2077↙⪎⋱⫍1686=⪎⋱⫍-46C5","layer":3},{"info":"⪎⋱⫍-46C5⊠≄⫣=⪎⋱⫍0","layer":2},{"info":"⫛⫱⨽⪎⋱⫍66C=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍1188⊪=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍0⨓⪎⋱⫍0=NaN","layer":2},{"info":"⪎⋱⫍0⪮%⊝NaN=NaN","layer":1},{"info":"↣≠⋷NaN=NaN","layer":0}]}
{"id":563,"expression_no_base_symbol":"+⊝⨔($6965$↬$5573$⪨≂$1617$⨳⩥⨓$3333$⫡⨏($3697$-$1759$)⨸⪁($3162$%$7398$))","expression":"+⊝⨔(⪎⋱⫍322A↬⪎⋱⫍26C9⪨≂⪎⋱⫍975⨳⩥⨓⪎⋱⫍1695⫡⨏(⪎⋱⫍18B5-⪎⋱⫍A54)⨸⪁(⪎⋱⫍1593%⪎⋱⫍34A1))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":41,"operation_count":8,"complexity_ratio":5.125,"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":6965,"base":13},"right_expr":{"type":"numeric_atoms","value":5573,"base":13}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1617,"base":13},"right_expr":{"type":"numeric_atoms","value":3333,"base":13}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":3697,"base":13},"right_expr":{"type":"numeric_atoms","value":1759,"base":13}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":3162,"base":13},"right_expr":{"type":"numeric_atoms","value":7398,"base":13}}}}},"used_operators":["DhbWaqg5eL","QMFrweE19q","sdazOOVcIp","B5M0gjZbta","nCS4ZIUYfx","g55IO6H4Gj","rysDP5nf3Z","k8jYdgA6NY"],"dependent_operators":["dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z"],"result":"⪎⋱⫍901","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=6965","layer":4},{"info":"number node, value=5573","layer":4},{"info":"compute binary expreesion, left_input=6965, right_input=5573, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=1617","layer":4},{"info":"number node, value=3333","layer":4},{"info":"compute binary expreesion, left_input=1617, right_input=3333, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=1716","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1716, op_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=3697","layer":4},{"info":"number node, value=1759","layer":4},{"info":"compute binary expreesion, left_input=3697, right_input=1759, op_id = rysDP5nf3Z binary_op_definition= 'None', output=1938","layer":3},{"info":"number node, value=3162","layer":4},{"info":"number node, value=7398","layer":4},{"info":"compute binary expreesion, left_input=3162, right_input=7398, op_id = k8jYdgA6NY binary_op_definition= 'None', output=3162","layer":3},{"info":"compute binary expreesion, left_input=1938, right_input=3162, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=10200","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=10200, op_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 = 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":13,"result_base":13,"text":"+⊝⨔(⪎⋱⫍322A↬⪎⋱⫍26C9⪨≂⪎⋱⫍975⨳⩥⨓⪎⋱⫍1695⫡⨏(⪎⋱⫍18B5-⪎⋱⫍A54)⨸⪁(⪎⋱⫍1593%⪎⋱⫍34A1))=⪎⋱⫍901","reverse_text":"⪎⋱⫍901=+⊝⨔(⪎⋱⫍322A↬⪎⋱⫍26C9⪨≂⪎⋱⫍975⨳⩥⨓⪎⋱⫍1695⫡⨏(⪎⋱⫍18B5-⪎⋱⫍A54)⨸⪁(⪎⋱⫍1593%⪎⋱⫍34A1))","cot":[{"info":"⪎⋱⫍322A↬⪎⋱⫍26C9=NaN","layer":3},{"info":"⪎⋱⫍975⨳⩥⨓⪎⋱⫍1695=⪎⋱⫍A20","layer":3},{"info":"NaN⪨≂⪎⋱⫍A20=NaN","layer":2},{"info":"⪎⋱⫍18B5-⪎⋱⫍A54=⪎⋱⫍B61","layer":3},{"info":"⪎⋱⫍1593%⪎⋱⫍34A1=⪎⋱⫍1593","layer":3},{"info":"⪎⋱⫍B61⨸⪁⪎⋱⫍1593=⪎⋱⫍4848","layer":2},{"info":"NaN⫡⨏⪎⋱⫍4848=NaN","layer":1},{"info":"+⊝⨔NaN=⪎⋱⫍901","layer":0}]}
{"id":564,"expression_no_base_symbol":"(⨑⩽⪐$2385$⪛$5734$⋳⪒$2581$⨓$1163$)⨪↰⇹(($3574$⨎$4772$)⊴($1082$-$1481$)⋫)","expression":"(⨑⩽⪐⪎⋱⫍1116⪛⪎⋱⫍27C1⋳⪒⪎⋱⫍1237⨓⪎⋱⫍6B6)⨪↰⇹((⪎⋱⫍181C⨎⪎⋱⫍2231)⊴(⪎⋱⫍653-⪎⋱⫍89C)⋫)","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":8467,"operation_count":9,"complexity_ratio":940.7777777777778,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2385,"base":13},"right_expr":{"type":"numeric_atoms","value":5734,"base":13}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2581,"base":13},"right_expr":{"type":"numeric_atoms","value":1163,"base":13}}}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":3574,"base":13},"right_expr":{"type":"numeric_atoms","value":4772,"base":13}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1082,"base":13},"right_expr":{"type":"numeric_atoms","value":1481,"base":13}}}}},"used_operators":["tmPS8pqC7x","AF7qkfDlqP","12rbrZMWeM","uFcxV4UQCh","3ViojmjbAp","JL8yIekQnl","Nsiff2A1zJ","rJVOvQCfKK","rysDP5nf3Z"],"dependent_operators":["rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","tmPS8pqC7x","dWAJyo7jo9","14qkJME0vr","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"⪎⋱⫍-25A7","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2385","layer":4},{"info":"number node, value=5734","layer":4},{"info":"compute binary expreesion, left_input=2385, right_input=5734, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2385","layer":3},{"info":"number node, value=2581","layer":4},{"info":"number node, value=1163","layer":4},{"info":"compute binary expreesion, left_input=2581, right_input=1163, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1166","layer":3},{"info":"compute binary expreesion, left_input=2385, right_input=-1166, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=5649","layer":2},{"info":"compute unary expreesion, input=5649, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-5376","layer":1},{"info":"number node, value=3574","layer":4},{"info":"number node, value=4772","layer":4},{"info":"compute binary expreesion, left_input=3574, right_input=4772, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=4772","layer":3},{"info":"number node, value=1082","layer":4},{"info":"number node, value=1481","layer":4},{"info":"compute binary expreesion, left_input=1082, right_input=1481, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-399","layer":3},{"info":"compute binary expreesion, left_input=4772, right_input=-399, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴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=-5376, 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=-5376","layer":0}],"base":13,"result_base":13,"text":"(⨑⩽⪐⪎⋱⫍1116⪛⪎⋱⫍27C1⋳⪒⪎⋱⫍1237⨓⪎⋱⫍6B6)⨪↰⇹((⪎⋱⫍181C⨎⪎⋱⫍2231)⊴(⪎⋱⫍653-⪎⋱⫍89C)⋫)=⪎⋱⫍-25A7","reverse_text":"⪎⋱⫍-25A7=(⨑⩽⪐⪎⋱⫍1116⪛⪎⋱⫍27C1⋳⪒⪎⋱⫍1237⨓⪎⋱⫍6B6)⨪↰⇹((⪎⋱⫍181C⨎⪎⋱⫍2231)⊴(⪎⋱⫍653-⪎⋱⫍89C)⋫)","cot":[{"info":"⪎⋱⫍1116⪛⪎⋱⫍27C1=⪎⋱⫍1116","layer":3},{"info":"⪎⋱⫍1237⨓⪎⋱⫍6B6=⪎⋱⫍-6B9","layer":3},{"info":"⪎⋱⫍1116⋳⪒⪎⋱⫍-6B9=⪎⋱⫍2757","layer":2},{"info":"⨑⩽⪐⪎⋱⫍2757=⪎⋱⫍-25A7","layer":1},{"info":"⪎⋱⫍181C⨎⪎⋱⫍2231=⪎⋱⫍2231","layer":3},{"info":"⪎⋱⫍653-⪎⋱⫍89C=⪎⋱⫍-249","layer":3},{"info":"⪎⋱⫍2231⊴⪎⋱⫍-249=NaN","layer":2},{"info":"NaN⋫=NaN","layer":1},{"info":"⪎⋱⫍-25A7⨪↰⇹NaN=⪎⋱⫍-25A7","layer":0}]}
{"id":565,"expression_no_base_symbol":"(($1514$⨽$1643$⪨≂$5528$⪄$1514$)↬($1106$⫥∨⫟$1412$)⊴($8276$⊭↱$2438$))≹⇙⪍(($3214$∸)⋝⋈⪟($7343$⋷$1214$)↪⪝)","expression":"((⪎⋱⫍8C6⨽⪎⋱⫍995⪨≂⪎⋱⫍2693⪄⪎⋱⫍8C6)↬(⪎⋱⫍671⫥∨⫟⪎⋱⫍848)⊴(⪎⋱⫍39C8⊭↱⪎⋱⫍1157))≹⇙⪍((⪎⋱⫍1603∸)⋝⋈⪟(⪎⋱⫍345B⋷⪎⋱⫍725)↪⪝)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":13928,"operation_count":12,"complexity_ratio":1160.6666666666667,"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":1514,"base":13},"right_expr":{"type":"numeric_atoms","value":1643,"base":13}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":5528,"base":13},"right_expr":{"type":"numeric_atoms","value":1514,"base":13}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1106,"base":13},"right_expr":{"type":"numeric_atoms","value":1412,"base":13}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":8276,"base":13},"right_expr":{"type":"numeric_atoms","value":2438,"base":13}}}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":3214,"base":13}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":7343,"base":13},"right_expr":{"type":"numeric_atoms","value":1214,"base":13}}}}},"used_operators":["AHs5Up7iyr","B5M0gjZbta","sdazOOVcIp","8HhzD0ZcuI","SUmda5xLS4","Nsiff2A1zJ","KYD54nUTWz","COABgblf1C","l07mrZUIn9","2DDjHMKMc0","o20kRiQErp","23Mk6UjR3U"],"dependent_operators":["dWAJyo7jo9","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","dWAJyo7jo9","14qkJME0vr","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","2DDjHMKMc0","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1514","layer":4},{"info":"number node, value=1643","layer":4},{"info":"compute binary expreesion, left_input=1514, right_input=1643, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-6880203","layer":3},{"info":"number node, value=5528","layer":4},{"info":"number node, value=1514","layer":4},{"info":"compute binary expreesion, left_input=5528, right_input=1514, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-820289","layer":3},{"info":"compute binary expreesion, left_input=-6880203, right_input=-820289, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-12119726","layer":2},{"info":"number node, value=1106","layer":4},{"info":"number node, value=1412","layer":4},{"info":"compute binary expreesion, left_input=1106, right_input=1412, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=8276","layer":4},{"info":"number node, value=2438","layer":4},{"info":"compute binary expreesion, left_input=8276, right_input=2438, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-11671","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-11671, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-12119726, 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=3214","layer":4},{"info":"compute unary expreesion, input=3214, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"number node, value=7343","layer":4},{"info":"number node, value=1214","layer":4},{"info":"compute binary expreesion, left_input=7343, right_input=1214, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-4915","layer":3},{"info":"compute binary expreesion, left_input=177, right_input=-4915, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=177","layer":2},{"info":"compute unary expreesion, input=177, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=10829214","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=10829214, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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":13,"result_base":13,"text":"((⪎⋱⫍8C6⨽⪎⋱⫍995⪨≂⪎⋱⫍2693⪄⪎⋱⫍8C6)↬(⪎⋱⫍671⫥∨⫟⪎⋱⫍848)⊴(⪎⋱⫍39C8⊭↱⪎⋱⫍1157))≹⇙⪍((⪎⋱⫍1603∸)⋝⋈⪟(⪎⋱⫍345B⋷⪎⋱⫍725)↪⪝)=NaN","reverse_text":"NaN=((⪎⋱⫍8C6⨽⪎⋱⫍995⪨≂⪎⋱⫍2693⪄⪎⋱⫍8C6)↬(⪎⋱⫍671⫥∨⫟⪎⋱⫍848)⊴(⪎⋱⫍39C8⊭↱⪎⋱⫍1157))≹⇙⪍((⪎⋱⫍1603∸)⋝⋈⪟(⪎⋱⫍345B⋷⪎⋱⫍725)↪⪝)","cot":[{"info":"⪎⋱⫍8C6⨽⪎⋱⫍995=⪎⋱⫍-156B835","layer":3},{"info":"⪎⋱⫍2693⪄⪎⋱⫍8C6=⪎⋱⫍-2294A2","layer":3},{"info":"⪎⋱⫍-156B835⪨≂⪎⋱⫍-2294A2=⪎⋱⫍-2684648","layer":2},{"info":"⪎⋱⫍671⫥∨⫟⪎⋱⫍848=NaN","layer":3},{"info":"⪎⋱⫍39C8⊭↱⪎⋱⫍1157=⪎⋱⫍-540A","layer":3},{"info":"NaN⊴⪎⋱⫍-540A=NaN","layer":2},{"info":"⪎⋱⫍-2684648↬NaN=NaN","layer":1},{"info":"⪎⋱⫍1603∸=⪎⋱⫍108","layer":3},{"info":"⪎⋱⫍345B⋷⪎⋱⫍725=⪎⋱⫍-2311","layer":3},{"info":"⪎⋱⫍108⋝⋈⪟⪎⋱⫍-2311=⪎⋱⫍108","layer":2},{"info":"⪎⋱⫍108↪⪝=⪎⋱⫍2322126","layer":1},{"info":"NaN≹⇙⪍⪎⋱⫍2322126=NaN","layer":0}]}
{"id":566,"expression_no_base_symbol":"($2342$∼$5340$)≹⇙⪍($2281$⩚⊴⇥$1401$)∑⇟⊟(($2246$↪⪝)⋥≓≎$1644$⨎$3150$)⊉≛↸((⪝⪂⫅$2400$)⋳⪒($1242$%$3014$)⩨($1993$↛⩡⫤)⊴($2702$⋷$2279$))","expression":"(⪎⋱⫍10B2∼⪎⋱⫍257A)≹⇙⪍(⪎⋱⫍1066⩚⊴⇥⪎⋱⫍83A)∑⇟⊟((⪎⋱⫍103A↪⪝)⋥≓≎⪎⋱⫍996⨎⪎⋱⫍1584)⊉≛↸((⪝⪂⫅⪎⋱⫍1128)⋳⪒(⪎⋱⫍747%⪎⋱⫍14AB)⩨(⪎⋱⫍BA4↛⩡⫤)⊴(⪎⋱⫍12CB⋷⪎⋱⫍1064))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":74733,"operation_count":15,"complexity_ratio":4982.2,"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":2342,"base":13},"right_expr":{"type":"numeric_atoms","value":5340,"base":13}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2281,"base":13},"right_expr":{"type":"numeric_atoms","value":1401,"base":13}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":2246,"base":13}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1644,"base":13},"right_expr":{"type":"numeric_atoms","value":3150,"base":13}}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":2400,"base":13}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1242,"base":13},"right_expr":{"type":"numeric_atoms","value":3014,"base":13}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":1993,"base":13}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":2702,"base":13},"right_expr":{"type":"numeric_atoms","value":2279,"base":13}}}}},"used_operators":["DZ8iAZOCBD","U7g4x0WXJJ","AHs5Up7iyr","DyGG3AbaNP","NTOWxs364D","Qy55tPpLXF","l07mrZUIn9","rJVOvQCfKK","2DlMacCsIx","12rbrZMWeM","XTarYq4gQB","k8jYdgA6NY","Nsiff2A1zJ","FU0Cs4j7VP","23Mk6UjR3U"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","dWAJyo7jo9","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","2DDjHMKMc0","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","rysDP5nf3Z","dWAJyo7jo9","14qkJME0vr","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2342","layer":4},{"info":"number node, value=5340","layer":4},{"info":"compute binary expreesion, left_input=2342, right_input=5340, 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=2281","layer":4},{"info":"number node, value=1401","layer":4},{"info":"compute binary expreesion, left_input=2281, right_input=1401, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3803","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3803, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=2246","layer":4},{"info":"compute unary expreesion, input=2246, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=137414772","layer":3},{"info":"number node, value=1644","layer":4},{"info":"number node, value=3150","layer":4},{"info":"compute binary expreesion, left_input=1644, right_input=3150, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3150","layer":3},{"info":"compute binary expreesion, left_input=137414772, right_input=3150, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-137408439","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-137408439, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=2400","layer":4},{"info":"compute unary expreesion, input=2400, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-352800","layer":3},{"info":"number node, value=1242","layer":4},{"info":"number node, value=3014","layer":4},{"info":"compute binary expreesion, left_input=1242, right_input=3014, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1242","layer":3},{"info":"compute binary expreesion, left_input=-352800, right_input=1242, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-707129","layer":2},{"info":"number node, value=1993","layer":4},{"info":"compute unary expreesion, input=1993, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-297032","layer":3},{"info":"number node, value=2702","layer":4},{"info":"number node, value=2279","layer":4},{"info":"compute binary expreesion, left_input=2702, right_input=2279, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=1856","layer":3},{"info":"compute binary expreesion, left_input=-297032, right_input=1856, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-707129, 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 = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍10B2∼⪎⋱⫍257A)≹⇙⪍(⪎⋱⫍1066⩚⊴⇥⪎⋱⫍83A)∑⇟⊟((⪎⋱⫍103A↪⪝)⋥≓≎⪎⋱⫍996⨎⪎⋱⫍1584)⊉≛↸((⪝⪂⫅⪎⋱⫍1128)⋳⪒(⪎⋱⫍747%⪎⋱⫍14AB)⩨(⪎⋱⫍BA4↛⩡⫤)⊴(⪎⋱⫍12CB⋷⪎⋱⫍1064))=NaN","reverse_text":"NaN=(⪎⋱⫍10B2∼⪎⋱⫍257A)≹⇙⪍(⪎⋱⫍1066⩚⊴⇥⪎⋱⫍83A)∑⇟⊟((⪎⋱⫍103A↪⪝)⋥≓≎⪎⋱⫍996⨎⪎⋱⫍1584)⊉≛↸((⪝⪂⫅⪎⋱⫍1128)⋳⪒(⪎⋱⫍747%⪎⋱⫍14AB)⩨(⪎⋱⫍BA4↛⩡⫤)⊴(⪎⋱⫍12CB⋷⪎⋱⫍1064))","cot":[{"info":"⪎⋱⫍10B2∼⪎⋱⫍257A=NaN","layer":3},{"info":"⪎⋱⫍1066⩚⊴⇥⪎⋱⫍83A=⪎⋱⫍-1967","layer":3},{"info":"NaN≹⇙⪍⪎⋱⫍-1967=NaN","layer":2},{"info":"⪎⋱⫍103A↪⪝=⪎⋱⫍22613721","layer":3},{"info":"⪎⋱⫍996⨎⪎⋱⫍1584=⪎⋱⫍1584","layer":3},{"info":"⪎⋱⫍22613721⋥≓≎⪎⋱⫍1584=⪎⋱⫍-2261088C","layer":2},{"info":"NaN∑⇟⊟⪎⋱⫍-2261088C=NaN","layer":1},{"info":"⪝⪂⫅⪎⋱⫍1128=⪎⋱⫍-C4776","layer":3},{"info":"⪎⋱⫍747%⪎⋱⫍14AB=⪎⋱⫍747","layer":3},{"info":"⪎⋱⫍-C4776⋳⪒⪎⋱⫍747=⪎⋱⫍-1B9B27","layer":2},{"info":"⪎⋱⫍BA4↛⩡⫤=⪎⋱⫍-A5278","layer":3},{"info":"⪎⋱⫍12CB⋷⪎⋱⫍1064=⪎⋱⫍ACA","layer":3},{"info":"⪎⋱⫍-A5278⊴⪎⋱⫍ACA=NaN","layer":2},{"info":"⪎⋱⫍-1B9B27⩨NaN=NaN","layer":1},{"info":"NaN⊉≛↸NaN=NaN","layer":0}]}
{"id":567,"expression_no_base_symbol":"↩(($8654$⨸⪁$1775$)⇷($4254$↺$2461$)⇼⇔∾($1023$⫡⨏$4732$)∑⇟⊟(↩$2803$))","expression":"↩((⪎⋱⫍3C29⨸⪁⪎⋱⫍A67)⇷(⪎⋱⫍1C23↺⪎⋱⫍1174)⇼⇔∾(⪎⋱⫍609⫡⨏⪎⋱⫍2200)∑⇟⊟(↩⪎⋱⫍1378))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":292068,"operation_count":8,"complexity_ratio":36508.5,"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":8654,"base":13},"right_expr":{"type":"numeric_atoms","value":1775,"base":13}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":4254,"base":13},"right_expr":{"type":"numeric_atoms","value":2461,"base":13}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1023,"base":13},"right_expr":{"type":"numeric_atoms","value":4732,"base":13}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":2803,"base":13}}}}},"used_operators":["jLgFTUHLKL","tifHPKVTfV","mp7IySMOzn","g55IO6H4Gj","7j4O788W3g","U7g4x0WXJJ","QMFrweE19q"],"dependent_operators":["sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=8654","layer":4},{"info":"number node, value=1775","layer":4},{"info":"compute binary expreesion, left_input=8654, right_input=1775, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=20858","layer":3},{"info":"number node, value=4254","layer":4},{"info":"number node, value=2461","layer":4},{"info":"compute binary expreesion, left_input=4254, right_input=2461, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2461","layer":3},{"info":"compute binary expreesion, left_input=20858, right_input=2461, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=4922","layer":2},{"info":"number node, value=1023","layer":4},{"info":"number node, value=4732","layer":4},{"info":"compute binary expreesion, left_input=1023, right_input=4732, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=15362","layer":3},{"info":"number node, value=2803","layer":4},{"info":"compute unary expreesion, input=2803, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-19644","layer":3},{"info":"compute binary expreesion, left_input=15362, right_input=-19644, 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=4922, 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 = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"↩((⪎⋱⫍3C29⨸⪁⪎⋱⫍A67)⇷(⪎⋱⫍1C23↺⪎⋱⫍1174)⇼⇔∾(⪎⋱⫍609⫡⨏⪎⋱⫍2200)∑⇟⊟(↩⪎⋱⫍1378))=NaN","reverse_text":"NaN=↩((⪎⋱⫍3C29⨸⪁⪎⋱⫍A67)⇷(⪎⋱⫍1C23↺⪎⋱⫍1174)⇼⇔∾(⪎⋱⫍609⫡⨏⪎⋱⫍2200)∑⇟⊟(↩⪎⋱⫍1378))","cot":[{"info":"⪎⋱⫍3C29⨸⪁⪎⋱⫍A67=⪎⋱⫍9656","layer":3},{"info":"⪎⋱⫍1C23↺⪎⋱⫍1174=⪎⋱⫍1174","layer":3},{"info":"⪎⋱⫍9656⇷⪎⋱⫍1174=⪎⋱⫍2318","layer":2},{"info":"⪎⋱⫍609⫡⨏⪎⋱⫍2200=⪎⋱⫍6CB9","layer":3},{"info":"↩⪎⋱⫍1378=⪎⋱⫍-8C31","layer":3},{"info":"⪎⋱⫍6CB9∑⇟⊟⪎⋱⫍-8C31=NaN","layer":2},{"info":"⪎⋱⫍2318⇼⇔∾NaN=NaN","layer":1},{"info":"↩NaN=NaN","layer":0}]}
{"id":568,"expression_no_base_symbol":"(($1245$⋷$1868$)⨐⩸⫘$6552$⨽$5688$+$1737$∼$5591$⋝⋈⪟($1038$⩚⊴⇥$5763$))⪮%⊝((↩($1797$/$5267$))⩷∴(($1805$⪐)-$1913$⨪↰⇹$1118$))","expression":"((⪎⋱⫍74A⋷⪎⋱⫍B09)⨐⩸⫘⪎⋱⫍2CA0⨽⪎⋱⫍2787+⪎⋱⫍A38∼⪎⋱⫍2711⋝⋈⪟(⪎⋱⫍61B⩚⊴⇥⪎⋱⫍2814))⪮%⊝((↩(⪎⋱⫍A83/⪎⋱⫍2522))⩷∴((⪎⋱⫍A8B⪐)-⪎⋱⫍B42⨪↰⇹⪎⋱⫍680))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":8559,"operation_count":14,"complexity_ratio":611.3571428571429,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1245,"base":13},"right_expr":{"type":"numeric_atoms","value":1868,"base":13}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":6552,"base":13},"right_expr":{"type":"numeric_atoms","value":5688,"base":13}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1737,"base":13},"right_expr":{"type":"numeric_atoms","value":5591,"base":13}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1038,"base":13},"right_expr":{"type":"numeric_atoms","value":5763,"base":13}}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1797,"base":13},"right_expr":{"type":"numeric_atoms","value":5267,"base":13}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":1805,"base":13}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1913,"base":13},"right_expr":{"type":"numeric_atoms","value":1118,"base":13}}}}},"used_operators":["IWmyXbctLI","W4YGzv6Whe","fu6greOZ01","23Mk6UjR3U","8HhzD0ZcuI","2DDjHMKMc0","DyGG3AbaNP","NTOWxs364D","9FxExcQeMw","jLgFTUHLKL","XhwjNDsVaA","rysDP5nf3Z","eH2TOUuTDT","tmPS8pqC7x"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1245","layer":4},{"info":"number node, value=1868","layer":4},{"info":"compute binary expreesion, left_input=1245, right_input=1868, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=2491","layer":3},{"info":"number node, value=6552","layer":4},{"info":"number node, value=5688","layer":4},{"info":"compute binary expreesion, left_input=6552, right_input=5688, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-128801862","layer":3},{"info":"compute binary expreesion, left_input=2491, right_input=-128801862, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=1737","layer":4},{"info":"number node, value=5591","layer":4},{"info":"compute binary expreesion, left_input=1737, right_input=5591, 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=1038","layer":4},{"info":"number node, value=5763","layer":4},{"info":"compute binary expreesion, left_input=1038, right_input=5763, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-6922","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-6922, 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 = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=1797","layer":4},{"info":"number node, value=5267","layer":4},{"info":"compute binary expreesion, left_input=1797, right_input=5267, op_id = XhwjNDsVaA binary_op_definition= 'None', 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":"number node, value=1805","layer":4},{"info":"compute unary expreesion, input=1805, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=3610","layer":3},{"info":"number node, value=1913","layer":4},{"info":"number node, value=1118","layer":4},{"info":"compute binary expreesion, left_input=1913, right_input=1118, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1913","layer":3},{"info":"compute binary expreesion, left_input=3610, right_input=1913, op_id = rysDP5nf3Z binary_op_definition= 'None', output=1697","layer":2},{"info":"compute binary expreesion, left_input=4844, right_input=1697, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=6262","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=6262, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍74A⋷⪎⋱⫍B09)⨐⩸⫘⪎⋱⫍2CA0⨽⪎⋱⫍2787+⪎⋱⫍A38∼⪎⋱⫍2711⋝⋈⪟(⪎⋱⫍61B⩚⊴⇥⪎⋱⫍2814))⪮%⊝((↩(⪎⋱⫍A83/⪎⋱⫍2522))⩷∴((⪎⋱⫍A8B⪐)-⪎⋱⫍B42⨪↰⇹⪎⋱⫍680))=NaN","reverse_text":"NaN=((⪎⋱⫍74A⋷⪎⋱⫍B09)⨐⩸⫘⪎⋱⫍2CA0⨽⪎⋱⫍2787+⪎⋱⫍A38∼⪎⋱⫍2711⋝⋈⪟(⪎⋱⫍61B⩚⊴⇥⪎⋱⫍2814))⪮%⊝((↩(⪎⋱⫍A83/⪎⋱⫍2522))⩷∴((⪎⋱⫍A8B⪐)-⪎⋱⫍B42⨪↰⇹⪎⋱⫍680))","cot":[{"info":"⪎⋱⫍74A⋷⪎⋱⫍B09=⪎⋱⫍1198","layer":3},{"info":"⪎⋱⫍2CA0⨽⪎⋱⫍2787=⪎⋱⫍-208B9327","layer":3},{"info":"⪎⋱⫍1198⨐⩸⫘⪎⋱⫍-208B9327=NaN","layer":2},{"info":"⪎⋱⫍A38∼⪎⋱⫍2711=NaN","layer":3},{"info":"⪎⋱⫍61B⩚⊴⇥⪎⋱⫍2814=⪎⋱⫍-31C6","layer":3},{"info":"NaN⋝⋈⪟⪎⋱⫍-31C6=NaN","layer":2},{"info":"NaN+NaN=NaN","layer":1},{"info":"⪎⋱⫍A83/⪎⋱⫍2522=⪎⋱⫍0","layer":3},{"info":"↩⪎⋱⫍0=⪎⋱⫍2288","layer":2},{"info":"⪎⋱⫍A8B⪐=⪎⋱⫍1849","layer":3},{"info":"⪎⋱⫍B42⨪↰⇹⪎⋱⫍680=⪎⋱⫍B42","layer":3},{"info":"⪎⋱⫍1849-⪎⋱⫍B42=⪎⋱⫍A07","layer":2},{"info":"⪎⋱⫍2288⩷∴⪎⋱⫍A07=⪎⋱⫍2B09","layer":1},{"info":"NaN⪮%⊝⪎⋱⫍2B09=NaN","layer":0}]}
{"id":569,"expression_no_base_symbol":"((⨞⊢$2320$+⇶⊼$5288$)⫥∨⫟($2186$⪒$5240$)⋓($1135$≧⫂∧$3825$))⋫","expression":"((⨞⊢⪎⋱⫍1096+⇶⊼⪎⋱⫍253A)⫥∨⫟(⪎⋱⫍CC2⪒⪎⋱⫍2501)⋓(⪎⋱⫍694≧⫂∧⪎⋱⫍1983))⋫","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":175,"operation_count":7,"complexity_ratio":25.0,"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":2320,"base":13},"right_expr":{"type":"numeric_atoms","value":5288,"base":13}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2186,"base":13},"right_expr":{"type":"numeric_atoms","value":5240,"base":13}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1135,"base":13},"right_expr":{"type":"numeric_atoms","value":3825,"base":13}}}}},"used_operators":["JL8yIekQnl","KYD54nUTWz","xUOZtlo3hN","TpPTUOHfaN","T2fj7uvVaJ","f6k1SAg4EE","Ph9nP6C5qx"],"dependent_operators":["tmPS8pqC7x","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2320","layer":4},{"info":"number node, value=5288","layer":4},{"info":"compute binary expreesion, left_input=2320, right_input=5288, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=nan","layer":2},{"info":"number node, value=2186","layer":4},{"info":"number node, value=5240","layer":4},{"info":"compute binary expreesion, left_input=2186, right_input=5240, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-7426","layer":3},{"info":"number node, value=1135","layer":4},{"info":"number node, value=3825","layer":4},{"info":"compute binary expreesion, left_input=1135, right_input=3825, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=3352","layer":3},{"info":"compute binary expreesion, left_input=-7426, right_input=3352, op_id = T2fj7uvVaJ binary_op_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 = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⨞⊢⪎⋱⫍1096+⇶⊼⪎⋱⫍253A)⫥∨⫟(⪎⋱⫍CC2⪒⪎⋱⫍2501)⋓(⪎⋱⫍694≧⫂∧⪎⋱⫍1983))⋫=NaN","reverse_text":"NaN=((⨞⊢⪎⋱⫍1096+⇶⊼⪎⋱⫍253A)⫥∨⫟(⪎⋱⫍CC2⪒⪎⋱⫍2501)⋓(⪎⋱⫍694≧⫂∧⪎⋱⫍1983))⋫","cot":[{"info":"⪎⋱⫍1096+⇶⊼⪎⋱⫍253A=NaN","layer":3},{"info":"⨞⊢NaN=NaN","layer":2},{"info":"⪎⋱⫍CC2⪒⪎⋱⫍2501=⪎⋱⫍-34C3","layer":3},{"info":"⪎⋱⫍694≧⫂∧⪎⋱⫍1983=⪎⋱⫍16AB","layer":3},{"info":"⪎⋱⫍-34C3⋓⪎⋱⫍16AB=⪎⋱⫍0","layer":2},{"info":"NaN⫥∨⫟⪎⋱⫍0=NaN","layer":1},{"info":"NaN⋫=NaN","layer":0}]}
{"id":570,"expression_no_base_symbol":"(⊄⩳↩$1301$)⨰($3039$⨸⪁$2542$)⨰(⊥$4376$)∑⇟⊟($5208$⨎$1787$)⫡⨏($1343$⨽$3185$⨸⪁$3577$⨰$2077$)⊴(($1919$%$4316$)⨰($6481$⨸⪁$7828$))","expression":"(⊄⩳↩⪎⋱⫍791)⨰(⪎⋱⫍14CA⨸⪁⪎⋱⫍1207)⨰(⊥⪎⋱⫍1CB8)∑⇟⊟(⪎⋱⫍24A8⨎⪎⋱⫍A76)⫡⨏(⪎⋱⫍7C4⨽⪎⋱⫍15B0⨸⪁⪎⋱⫍1822⨰⪎⋱⫍C3A)⊴((⪎⋱⫍B48%⪎⋱⫍1C70)⨰(⪎⋱⫍2C47⨸⪁⪎⋱⫍3742))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":663591,"operation_count":15,"complexity_ratio":44239.4,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1301,"base":13}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":3039,"base":13},"right_expr":{"type":"numeric_atoms","value":2542,"base":13}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":4376,"base":13}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":5208,"base":13},"right_expr":{"type":"numeric_atoms","value":1787,"base":13}}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1343,"base":13},"right_expr":{"type":"numeric_atoms","value":3185,"base":13}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":3577,"base":13},"right_expr":{"type":"numeric_atoms","value":2077,"base":13}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1919,"base":13},"right_expr":{"type":"numeric_atoms","value":4316,"base":13}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":6481,"base":13},"right_expr":{"type":"numeric_atoms","value":7828,"base":13}}}}},"used_operators":["QMFrweE19q","eewbuw0ToL","8w2t5hMYqp","g55IO6H4Gj","U7g4x0WXJJ","Q3PJZHRvZv","rJVOvQCfKK","Nsiff2A1zJ","8HhzD0ZcuI","k8jYdgA6NY"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","fu6greOZ01","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","dWAJyo7jo9","14qkJME0vr","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1301","layer":4},{"info":"compute unary expreesion, input=1301, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-3903","layer":3},{"info":"number node, value=3039","layer":4},{"info":"number node, value=2542","layer":4},{"info":"compute binary expreesion, left_input=3039, right_input=2542, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=11162","layer":3},{"info":"compute binary expreesion, left_input=-3903, right_input=11162, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-15055","layer":2},{"info":"number node, value=4376","layer":4},{"info":"compute unary expreesion, input=4376, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=5208","layer":4},{"info":"number node, value=1787","layer":4},{"info":"compute binary expreesion, left_input=5208, right_input=1787, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1787","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1787, 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=-15055, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":1},{"info":"number node, value=1343","layer":4},{"info":"number node, value=3185","layer":4},{"info":"compute binary expreesion, left_input=1343, right_input=3185, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-5419188","layer":3},{"info":"number node, value=3577","layer":4},{"info":"number node, value=2077","layer":4},{"info":"compute binary expreesion, left_input=3577, right_input=2077, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1510","layer":3},{"info":"compute binary expreesion, left_input=-5419188, right_input=1510, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-10835356","layer":2},{"info":"number node, value=1919","layer":4},{"info":"number node, value=4316","layer":4},{"info":"compute binary expreesion, left_input=1919, right_input=4316, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1919","layer":3},{"info":"number node, value=6481","layer":4},{"info":"number node, value=7828","layer":4},{"info":"compute binary expreesion, left_input=6481, right_input=7828, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=28618","layer":3},{"info":"compute binary expreesion, left_input=1919, right_input=28618, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-26689","layer":2},{"info":"compute binary expreesion, left_input=-10835356, right_input=-26689, 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 = 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":13,"result_base":13,"text":"(⊄⩳↩⪎⋱⫍791)⨰(⪎⋱⫍14CA⨸⪁⪎⋱⫍1207)⨰(⊥⪎⋱⫍1CB8)∑⇟⊟(⪎⋱⫍24A8⨎⪎⋱⫍A76)⫡⨏(⪎⋱⫍7C4⨽⪎⋱⫍15B0⨸⪁⪎⋱⫍1822⨰⪎⋱⫍C3A)⊴((⪎⋱⫍B48%⪎⋱⫍1C70)⨰(⪎⋱⫍2C47⨸⪁⪎⋱⫍3742))=NaN","reverse_text":"NaN=(⊄⩳↩⪎⋱⫍791)⨰(⪎⋱⫍14CA⨸⪁⪎⋱⫍1207)⨰(⊥⪎⋱⫍1CB8)∑⇟⊟(⪎⋱⫍24A8⨎⪎⋱⫍A76)⫡⨏(⪎⋱⫍7C4⨽⪎⋱⫍15B0⨸⪁⪎⋱⫍1822⨰⪎⋱⫍C3A)⊴((⪎⋱⫍B48%⪎⋱⫍1C70)⨰(⪎⋱⫍2C47⨸⪁⪎⋱⫍3742))","cot":[{"info":"⊄⩳↩⪎⋱⫍791=⪎⋱⫍-1A13","layer":3},{"info":"⪎⋱⫍14CA⨸⪁⪎⋱⫍1207=⪎⋱⫍5108","layer":3},{"info":"⪎⋱⫍-1A13⨰⪎⋱⫍5108=⪎⋱⫍-6B11","layer":2},{"info":"⊥⪎⋱⫍1CB8=NaN","layer":3},{"info":"⪎⋱⫍24A8⨎⪎⋱⫍A76=⪎⋱⫍A76","layer":3},{"info":"NaN∑⇟⊟⪎⋱⫍A76=NaN","layer":2},{"info":"⪎⋱⫍-6B11⨰NaN=NaN","layer":1},{"info":"⪎⋱⫍7C4⨽⪎⋱⫍15B0=⪎⋱⫍-1179828","layer":3},{"info":"⪎⋱⫍1822⨰⪎⋱⫍C3A=⪎⋱⫍8C2","layer":3},{"info":"⪎⋱⫍-1179828⨸⪁⪎⋱⫍8C2=⪎⋱⫍-2324B6C","layer":2},{"info":"⪎⋱⫍B48%⪎⋱⫍1C70=⪎⋱⫍B48","layer":3},{"info":"⪎⋱⫍2C47⨸⪁⪎⋱⫍3742=⪎⋱⫍10045","layer":3},{"info":"⪎⋱⫍B48⨰⪎⋱⫍10045=⪎⋱⫍-C1C0","layer":2},{"info":"⪎⋱⫍-2324B6C⊴⪎⋱⫍-C1C0=NaN","layer":1},{"info":"NaN⫡⨏NaN=NaN","layer":0}]}
{"id":571,"expression_no_base_symbol":"($7399$⨳⩥⨓$4401$)⨪↰⇹($9344$⨸⪁$4230$)≎⊠⪸(($1407$⩤)-($5719$/$3505$))≎⊠⪸(($1050$⨸⪁$1002$⩨(⊙↵-$2660$))+⇶⊼($2109$≹⇙⪍$1198$/$1325$*$7202$))","expression":"(⪎⋱⫍34A2⨳⩥⨓⪎⋱⫍2007)⨪↰⇹(⪎⋱⫍433A⨸⪁⪎⋱⫍1C05)≎⊠⪸((⪎⋱⫍843⩤)-(⪎⋱⫍27AC/⪎⋱⫍1798))≎⊠⪸((⪎⋱⫍62A⨸⪁⪎⋱⫍5C1⩨(⊙↵-⪎⋱⫍1298))+⇶⊼(⪎⋱⫍C63≹⇙⪍⪎⋱⫍712/⪎⋱⫍7AC*⪎⋱⫍3380))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":7070,"operation_count":15,"complexity_ratio":471.3333333333333,"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":7399,"base":13},"right_expr":{"type":"numeric_atoms","value":4401,"base":13}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":9344,"base":13},"right_expr":{"type":"numeric_atoms","value":4230,"base":13}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":1407,"base":13}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":5719,"base":13},"right_expr":{"type":"numeric_atoms","value":3505,"base":13}}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1050,"base":13},"right_expr":{"type":"numeric_atoms","value":1002,"base":13}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":2660,"base":13}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2109,"base":13},"right_expr":{"type":"numeric_atoms","value":1198,"base":13}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1325,"base":13},"right_expr":{"type":"numeric_atoms","value":7202,"base":13}}}}},"used_operators":["bJkvcejdHO","tmPS8pqC7x","nCS4ZIUYfx","g55IO6H4Gj","rysDP5nf3Z","Z2TMIBDE3Q","XhwjNDsVaA","TpPTUOHfaN","2DlMacCsIx","oWn0xqSxBt","AHs5Up7iyr","9HNa5Wba9A"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rJVOvQCfKK","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","AHs5Up7iyr","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","dWAJyo7jo9","W4YGzv6Whe"],"result":"⪎⋱⫍52","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=7399","layer":4},{"info":"number node, value=4401","layer":4},{"info":"compute binary expreesion, left_input=7399, right_input=4401, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-2998","layer":3},{"info":"number node, value=9344","layer":4},{"info":"number node, value=4230","layer":4},{"info":"compute binary expreesion, left_input=9344, right_input=4230, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=27148","layer":3},{"info":"compute binary expreesion, left_input=-2998, right_input=27148, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=-2998","layer":2},{"info":"number node, value=1407","layer":4},{"info":"compute unary expreesion, input=1407, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-1407","layer":3},{"info":"number node, value=5719","layer":4},{"info":"number node, value=3505","layer":4},{"info":"compute binary expreesion, left_input=5719, right_input=3505, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"compute binary expreesion, left_input=-1407, right_input=1, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-1408","layer":2},{"info":"compute binary expreesion, left_input=-2998, right_input=-1408, 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=1050","layer":4},{"info":"number node, value=1002","layer":4},{"info":"compute binary expreesion, left_input=1050, right_input=1002, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=4104","layer":3},{"info":"number node, value=2660","layer":4},{"info":"compute unary expreesion, input=2660, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=4104, right_input=-1, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=3","layer":2},{"info":"number node, value=2109","layer":4},{"info":"number node, value=1198","layer":4},{"info":"compute binary expreesion, left_input=2109, right_input=1198, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=1325","layer":4},{"info":"number node, value=7202","layer":4},{"info":"compute binary expreesion, left_input=1325, right_input=7202, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=9542650","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=9542650, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=3, 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=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":13,"result_base":13,"text":"(⪎⋱⫍34A2⨳⩥⨓⪎⋱⫍2007)⨪↰⇹(⪎⋱⫍433A⨸⪁⪎⋱⫍1C05)≎⊠⪸((⪎⋱⫍843⩤)-(⪎⋱⫍27AC/⪎⋱⫍1798))≎⊠⪸((⪎⋱⫍62A⨸⪁⪎⋱⫍5C1⩨(⊙↵-⪎⋱⫍1298))+⇶⊼(⪎⋱⫍C63≹⇙⪍⪎⋱⫍712/⪎⋱⫍7AC*⪎⋱⫍3380))=⪎⋱⫍52","reverse_text":"⪎⋱⫍52=(⪎⋱⫍34A2⨳⩥⨓⪎⋱⫍2007)⨪↰⇹(⪎⋱⫍433A⨸⪁⪎⋱⫍1C05)≎⊠⪸((⪎⋱⫍843⩤)-(⪎⋱⫍27AC/⪎⋱⫍1798))≎⊠⪸((⪎⋱⫍62A⨸⪁⪎⋱⫍5C1⩨(⊙↵-⪎⋱⫍1298))+⇶⊼(⪎⋱⫍C63≹⇙⪍⪎⋱⫍712/⪎⋱⫍7AC*⪎⋱⫍3380))","cot":[{"info":"⪎⋱⫍34A2⨳⩥⨓⪎⋱⫍2007=⪎⋱⫍-1498","layer":3},{"info":"⪎⋱⫍433A⨸⪁⪎⋱⫍1C05=⪎⋱⫍C484","layer":3},{"info":"⪎⋱⫍-1498⨪↰⇹⪎⋱⫍C484=⪎⋱⫍-1498","layer":2},{"info":"⪎⋱⫍843⩤=⪎⋱⫍-843","layer":3},{"info":"⪎⋱⫍27AC/⪎⋱⫍1798=⪎⋱⫍1","layer":3},{"info":"⪎⋱⫍-843-⪎⋱⫍1=⪎⋱⫍-844","layer":2},{"info":"⪎⋱⫍-1498≎⊠⪸⪎⋱⫍-844=⪎⋱⫍52","layer":1},{"info":"⪎⋱⫍62A⨸⪁⪎⋱⫍5C1=⪎⋱⫍1B39","layer":3},{"info":"⊙↵-⪎⋱⫍1298=⪎⋱⫍-1","layer":3},{"info":"⪎⋱⫍1B39⩨⪎⋱⫍-1=⪎⋱⫍3","layer":2},{"info":"⪎⋱⫍C63≹⇙⪍⪎⋱⫍712=NaN","layer":3},{"info":"⪎⋱⫍7AC*⪎⋱⫍3380=⪎⋱⫍1C91650","layer":3},{"info":"NaN/⪎⋱⫍1C91650=NaN","layer":2},{"info":"⪎⋱⫍3+⇶⊼NaN=NaN","layer":1},{"info":"⪎⋱⫍52≎⊠⪸NaN=⪎⋱⫍52","layer":0}]}
{"id":572,"expression_no_base_symbol":"($7182$⪛$4161$⊭↱$2815$⪄$4144$⊭↱(($5159$⫸⊐$1797$)≦≮≮))⪘⫢(($6430$∀⇚≩$1383$∲⫓$2147$⪢$1483$)↙($1420$⋥≓≎$5020$-$6610$⋥≓≎$2330$))","expression":"(⪎⋱⫍3366⪛⪎⋱⫍1B81⊭↱⪎⋱⫍1387⪄⪎⋱⫍1B6A⊭↱((⪎⋱⫍246B⫸⊐⪎⋱⫍A83)≦≮≮))⪘⫢((⪎⋱⫍2C08∀⇚≩⪎⋱⫍825∲⫓⪎⋱⫍C92⪢⪎⋱⫍8A1)↙(⪎⋱⫍853⋥≓≎⪎⋱⫍2392-⪎⋱⫍3016⋥≓≎⪎⋱⫍10A3))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":50330,"operation_count":14,"complexity_ratio":3595.0,"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":7182,"base":13},"right_expr":{"type":"numeric_atoms","value":4161,"base":13}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2815,"base":13},"right_expr":{"type":"numeric_atoms","value":4144,"base":13}}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":5159,"base":13},"right_expr":{"type":"numeric_atoms","value":1797,"base":13}}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":6430,"base":13},"right_expr":{"type":"numeric_atoms","value":1383,"base":13}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2147,"base":13},"right_expr":{"type":"numeric_atoms","value":1483,"base":13}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1420,"base":13},"right_expr":{"type":"numeric_atoms","value":5020,"base":13}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":6610,"base":13},"right_expr":{"type":"numeric_atoms","value":2330,"base":13}}}}},"used_operators":["oacrs7FA3X","COABgblf1C","uFcxV4UQCh","SUmda5xLS4","D4vGDi5EA2","mqXw5SEYmG","yyfyN0ffXY","i8ToyICDmI","LRNGc0VcxI","dWAJyo7jo9","rysDP5nf3Z","Qy55tPpLXF"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=7182","layer":4},{"info":"number node, value=4161","layer":4},{"info":"compute binary expreesion, left_input=7182, right_input=4161, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=3021","layer":3},{"info":"number node, value=2815","layer":4},{"info":"number node, value=4144","layer":4},{"info":"compute binary expreesion, left_input=2815, right_input=4144, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-429285","layer":3},{"info":"compute binary expreesion, left_input=3021, right_input=-429285, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-864607","layer":2},{"info":"number node, value=5159","layer":4},{"info":"number node, value=1797","layer":4},{"info":"compute binary expreesion, left_input=5159, right_input=1797, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=7063","layer":3},{"info":"compute unary expreesion, input=7063, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-21189","layer":2},{"info":"compute binary expreesion, left_input=-864607, right_input=-21189, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=1686841","layer":1},{"info":"number node, value=6430","layer":4},{"info":"number node, value=1383","layer":4},{"info":"compute binary expreesion, left_input=6430, right_input=1383, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=2147","layer":4},{"info":"number node, value=1483","layer":4},{"info":"compute binary expreesion, left_input=2147, right_input=1483, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":2},{"info":"number node, value=1420","layer":4},{"info":"number node, value=5020","layer":4},{"info":"compute binary expreesion, left_input=1420, right_input=5020, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=8653","layer":3},{"info":"number node, value=6610","layer":4},{"info":"number node, value=2330","layer":4},{"info":"compute binary expreesion, left_input=6610, right_input=2330, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-1917","layer":3},{"info":"compute binary expreesion, left_input=8653, right_input=-1917, op_id = rysDP5nf3Z binary_op_definition= 'None', output=10570","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=10570, 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=1686841, 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":13,"result_base":13,"text":"(⪎⋱⫍3366⪛⪎⋱⫍1B81⊭↱⪎⋱⫍1387⪄⪎⋱⫍1B6A⊭↱((⪎⋱⫍246B⫸⊐⪎⋱⫍A83)≦≮≮))⪘⫢((⪎⋱⫍2C08∀⇚≩⪎⋱⫍825∲⫓⪎⋱⫍C92⪢⪎⋱⫍8A1)↙(⪎⋱⫍853⋥≓≎⪎⋱⫍2392-⪎⋱⫍3016⋥≓≎⪎⋱⫍10A3))=NaN","reverse_text":"NaN=(⪎⋱⫍3366⪛⪎⋱⫍1B81⊭↱⪎⋱⫍1387⪄⪎⋱⫍1B6A⊭↱((⪎⋱⫍246B⫸⊐⪎⋱⫍A83)≦≮≮))⪘⫢((⪎⋱⫍2C08∀⇚≩⪎⋱⫍825∲⫓⪎⋱⫍C92⪢⪎⋱⫍8A1)↙(⪎⋱⫍853⋥≓≎⪎⋱⫍2392-⪎⋱⫍3016⋥≓≎⪎⋱⫍10A3))","cot":[{"info":"⪎⋱⫍3366⪛⪎⋱⫍1B81=⪎⋱⫍14B5","layer":3},{"info":"⪎⋱⫍1387⪄⪎⋱⫍1B6A=⪎⋱⫍-12051C","layer":3},{"info":"⪎⋱⫍14B5⊭↱⪎⋱⫍-12051C=⪎⋱⫍-243703","layer":2},{"info":"⪎⋱⫍246B⫸⊐⪎⋱⫍A83=⪎⋱⫍32A4","layer":3},{"info":"⪎⋱⫍32A4≦≮≮=⪎⋱⫍-984C","layer":2},{"info":"⪎⋱⫍-243703⊭↱⪎⋱⫍-984C=⪎⋱⫍470A40","layer":1},{"info":"⪎⋱⫍2C08∀⇚≩⪎⋱⫍825=NaN","layer":3},{"info":"⪎⋱⫍C92⪢⪎⋱⫍8A1=NaN","layer":3},{"info":"NaN∲⫓NaN=NaN","layer":2},{"info":"⪎⋱⫍853⋥≓≎⪎⋱⫍2392=⪎⋱⫍3C28","layer":3},{"info":"⪎⋱⫍3016⋥≓≎⪎⋱⫍10A3=⪎⋱⫍-B46","layer":3},{"info":"⪎⋱⫍3C28-⪎⋱⫍-B46=⪎⋱⫍4A71","layer":2},{"info":"NaN↙⪎⋱⫍4A71=NaN","layer":1},{"info":"⪎⋱⫍470A40⪘⫢NaN=NaN","layer":0}]}
{"id":573,"expression_no_base_symbol":"((≤/$8678$)+$5674$⨪↰⇹$3469$)⪛((↽≂$2181$)⊉≛↸$1669$⪄$1253$)⋓((($5332$⨎$2269$)∧)⨎($9053$⪮%⊝$1336$⨵⪆$1107$≹⇙⪍$3465$))","expression":"((≤/⪎⋱⫍3C47)+⪎⋱⫍2776⨪↰⇹⪎⋱⫍176B)⪛((↽≂⪎⋱⫍CBA)⊉≛↸⪎⋱⫍9B5⪄⪎⋱⫍755)⋓(((⪎⋱⫍2572⨎⪎⋱⫍1057)∧)⨎(⪎⋱⫍4175⪮%⊝⪎⋱⫍7BA⨵⪆⪎⋱⫍672≹⇙⪍⪎⋱⫍1767))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":5814,"operation_count":14,"complexity_ratio":415.2857142857143,"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":8678,"base":13}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":5674,"base":13},"right_expr":{"type":"numeric_atoms","value":3469,"base":13}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":2181,"base":13}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1669,"base":13},"right_expr":{"type":"numeric_atoms","value":1253,"base":13}}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":5332,"base":13},"right_expr":{"type":"numeric_atoms","value":2269,"base":13}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":9053,"base":13},"right_expr":{"type":"numeric_atoms","value":1336,"base":13}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1107,"base":13},"right_expr":{"type":"numeric_atoms","value":3465,"base":13}}}}},"used_operators":["T2fj7uvVaJ","uFcxV4UQCh","W4YGzv6Whe","eLAdDNolq6","tmPS8pqC7x","DZ8iAZOCBD","u6S6b8DprG","SUmda5xLS4","rJVOvQCfKK","z63VuFQld9","2DQ55sFlQl","IWmyXbctLI","AHs5Up7iyr"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","rJVOvQCfKK","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","dWAJyo7jo9"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=8678","layer":4},{"info":"compute unary expreesion, input=8678, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-8194","layer":3},{"info":"number node, value=5674","layer":4},{"info":"number node, value=3469","layer":4},{"info":"compute binary expreesion, left_input=5674, right_input=3469, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=5674","layer":3},{"info":"compute binary expreesion, left_input=-8194, right_input=5674, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-2520","layer":2},{"info":"number node, value=2181","layer":4},{"info":"compute unary expreesion, input=2181, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-4362","layer":3},{"info":"number node, value=1669","layer":4},{"info":"number node, value=1253","layer":4},{"info":"compute binary expreesion, left_input=1669, right_input=1253, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-248113","layer":3},{"info":"compute binary expreesion, left_input=-4362, right_input=-248113, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=248113","layer":2},{"info":"compute binary expreesion, left_input=-2520, right_input=248113, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=245593","layer":1},{"info":"number node, value=5332","layer":4},{"info":"number node, value=2269","layer":4},{"info":"compute binary expreesion, left_input=5332, right_input=2269, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2269","layer":3},{"info":"compute unary expreesion, input=2269, 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=9053","layer":4},{"info":"number node, value=1336","layer":4},{"info":"compute binary expreesion, left_input=9053, right_input=1336, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=18422","layer":3},{"info":"number node, value=1107","layer":4},{"info":"number node, value=3465","layer":4},{"info":"compute binary expreesion, left_input=1107, right_input=3465, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=18422, 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=nan, right_input=160, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=160","layer":1},{"info":"compute binary expreesion, left_input=245593, 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":0}],"base":13,"result_base":13,"text":"((≤/⪎⋱⫍3C47)+⪎⋱⫍2776⨪↰⇹⪎⋱⫍176B)⪛((↽≂⪎⋱⫍CBA)⊉≛↸⪎⋱⫍9B5⪄⪎⋱⫍755)⋓(((⪎⋱⫍2572⨎⪎⋱⫍1057)∧)⨎(⪎⋱⫍4175⪮%⊝⪎⋱⫍7BA⨵⪆⪎⋱⫍672≹⇙⪍⪎⋱⫍1767))=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=((≤/⪎⋱⫍3C47)+⪎⋱⫍2776⨪↰⇹⪎⋱⫍176B)⪛((↽≂⪎⋱⫍CBA)⊉≛↸⪎⋱⫍9B5⪄⪎⋱⫍755)⋓(((⪎⋱⫍2572⨎⪎⋱⫍1057)∧)⨎(⪎⋱⫍4175⪮%⊝⪎⋱⫍7BA⨵⪆⪎⋱⫍672≹⇙⪍⪎⋱⫍1767))","cot":[{"info":"≤/⪎⋱⫍3C47=⪎⋱⫍-3964","layer":3},{"info":"⪎⋱⫍2776⨪↰⇹⪎⋱⫍176B=⪎⋱⫍2776","layer":3},{"info":"⪎⋱⫍-3964+⪎⋱⫍2776=⪎⋱⫍-11BB","layer":2},{"info":"↽≂⪎⋱⫍CBA=⪎⋱⫍-1CA7","layer":3},{"info":"⪎⋱⫍9B5⪄⪎⋱⫍755=⪎⋱⫍-88C18","layer":3},{"info":"⪎⋱⫍-1CA7⊉≛↸⪎⋱⫍-88C18=⪎⋱⫍88C18","layer":2},{"info":"⪎⋱⫍-11BB⪛⪎⋱⫍88C18=⪎⋱⫍87A2A","layer":1},{"info":"⪎⋱⫍2572⨎⪎⋱⫍1057=⪎⋱⫍1057","layer":3},{"info":"⪎⋱⫍1057∧=NaN","layer":2},{"info":"⪎⋱⫍4175⪮%⊝⪎⋱⫍7BA=⪎⋱⫍8501","layer":3},{"info":"⪎⋱⫍672≹⇙⪍⪎⋱⫍1767=NaN","layer":3},{"info":"⪎⋱⫍8501⨵⪆NaN=⪎⋱⫍C4","layer":2},{"info":"NaN⨎⪎⋱⫍C4=⪎⋱⫍C4","layer":1},{"info":"⪎⋱⫍87A2A⋓⪎⋱⫍C4=⪎⋱⫍0","layer":0}]}
{"id":574,"expression_no_base_symbol":"↔(($1781$≧⫂∧$2616$⪨≂$4887$≭$1899$)↙((⊙↵-$1544$)⊭↱($1565$≋⫹)))","expression":"↔((⪎⋱⫍A70≧⫂∧⪎⋱⫍1263⪨≂⪎⋱⫍22BC≭⪎⋱⫍B31)↙((⊙↵-⪎⋱⫍91A)⊭↱(⪎⋱⫍935≋⫹)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1629,"operation_count":8,"complexity_ratio":203.625,"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":1781,"base":13},"right_expr":{"type":"numeric_atoms","value":2616,"base":13}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":4887,"base":13},"right_expr":{"type":"numeric_atoms","value":1899,"base":13}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1544,"base":13}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":1565,"base":13}}}}},"used_operators":["ruOEQAzv1W","yyfyN0ffXY","sdazOOVcIp","Ph9nP6C5qx","rxpJgHHUmx","COABgblf1C","oWn0xqSxBt","N41Kp7NANJ"],"dependent_operators":["XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍-A4","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1781","layer":4},{"info":"number node, value=2616","layer":4},{"info":"compute binary expreesion, left_input=1781, right_input=2616, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2143","layer":3},{"info":"number node, value=4887","layer":4},{"info":"number node, value=1899","layer":4},{"info":"compute binary expreesion, left_input=4887, right_input=1899, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=2143, 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=1544","layer":4},{"info":"compute unary expreesion, input=1544, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=1565","layer":4},{"info":"compute unary expreesion, input=1565, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-3130","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=-3130, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-6253","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-6253, 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 = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":0}],"base":13,"result_base":13,"text":"↔((⪎⋱⫍A70≧⫂∧⪎⋱⫍1263⪨≂⪎⋱⫍22BC≭⪎⋱⫍B31)↙((⊙↵-⪎⋱⫍91A)⊭↱(⪎⋱⫍935≋⫹)))=⪎⋱⫍-A4","reverse_text":"⪎⋱⫍-A4=↔((⪎⋱⫍A70≧⫂∧⪎⋱⫍1263⪨≂⪎⋱⫍22BC≭⪎⋱⫍B31)↙((⊙↵-⪎⋱⫍91A)⊭↱(⪎⋱⫍935≋⫹)))","cot":[{"info":"⪎⋱⫍A70≧⫂∧⪎⋱⫍1263=⪎⋱⫍C8B","layer":3},{"info":"⪎⋱⫍22BC≭⪎⋱⫍B31=NaN","layer":3},{"info":"⪎⋱⫍C8B⪨≂NaN=NaN","layer":2},{"info":"⊙↵-⪎⋱⫍91A=⪎⋱⫍-1","layer":3},{"info":"⪎⋱⫍935≋⫹=⪎⋱⫍-156A","layer":3},{"info":"⪎⋱⫍-1⊭↱⪎⋱⫍-156A=⪎⋱⫍-2B00","layer":2},{"info":"NaN↙⪎⋱⫍-2B00=NaN","layer":1},{"info":"↔NaN=⪎⋱⫍-A4","layer":0}]}
{"id":575,"expression_no_base_symbol":"((($3988$⪄$1752$)≫≃)∲⫓($4531$↺$8008$)⨓($1725$⊉≛↸$1804$))⨽($5226$≧⫂∧$2330$⩷∴$3508$⨪↰⇹$3064$⫸⊐((⪲⇎$5319$)⩨($1088$∧)))","expression":"(((⪎⋱⫍1A7A⪄⪎⋱⫍A4A)≫≃)∲⫓(⪎⋱⫍20A7↺⪎⋱⫍3850)⨓(⪎⋱⫍A29⊉≛↸⪎⋱⫍A8A))⨽(⪎⋱⫍24C0≧⫂∧⪎⋱⫍10A3⩷∴⪎⋱⫍179B⨪↰⇹⪎⋱⫍1519⫸⊐((⪲⇎⪎⋱⫍2562)⩨(⪎⋱⫍659∧)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1192344,"operation_count":14,"complexity_ratio":85167.42857142857,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":3988,"base":13},"right_expr":{"type":"numeric_atoms","value":1752,"base":13}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":4531,"base":13},"right_expr":{"type":"numeric_atoms","value":8008,"base":13}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1725,"base":13},"right_expr":{"type":"numeric_atoms","value":1804,"base":13}}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":5226,"base":13},"right_expr":{"type":"numeric_atoms","value":2330,"base":13}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":3508,"base":13},"right_expr":{"type":"numeric_atoms","value":3064,"base":13}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":5319,"base":13}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":1088,"base":13}}}}},"used_operators":["8HhzD0ZcuI","i8ToyICDmI","X99M06cbEe","SUmda5xLS4","3ViojmjbAp","7j4O788W3g","DZ8iAZOCBD","mqXw5SEYmG","9FxExcQeMw","Ph9nP6C5qx","tmPS8pqC7x","2DlMacCsIx","XPYlsWDdGa","z63VuFQld9"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr"],"result":"-Inf","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3988","layer":4},{"info":"number node, value=1752","layer":4},{"info":"compute binary expreesion, left_input=3988, right_input=1752, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-593321","layer":3},{"info":"compute unary expreesion, input=-593321, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=-1185241","layer":2},{"info":"number node, value=4531","layer":4},{"info":"number node, value=8008","layer":4},{"info":"compute binary expreesion, left_input=4531, right_input=8008, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=8008","layer":3},{"info":"number node, value=1725","layer":4},{"info":"number node, value=1804","layer":4},{"info":"compute binary expreesion, left_input=1725, right_input=1804, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3450","layer":3},{"info":"compute binary expreesion, left_input=8008, right_input=3450, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3453","layer":2},{"info":"compute binary expreesion, left_input=-1185241, right_input=-3453, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=-1185241","layer":1},{"info":"number node, value=5226","layer":4},{"info":"number node, value=2330","layer":4},{"info":"compute binary expreesion, left_input=5226, right_input=2330, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1857","layer":3},{"info":"number node, value=3508","layer":4},{"info":"number node, value=3064","layer":4},{"info":"compute binary expreesion, left_input=3508, right_input=3064, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=3508","layer":3},{"info":"compute binary expreesion, left_input=1857, right_input=3508, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-3334","layer":2},{"info":"number node, value=5319","layer":4},{"info":"compute unary expreesion, input=5319, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=10638","layer":3},{"info":"number node, value=1088","layer":4},{"info":"compute unary expreesion, input=1088, 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=10638, 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=-3334, right_input=nan, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=968","layer":1},{"info":"compute binary expreesion, left_input=-1185241, right_input=968, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-inf","layer":0}],"base":13,"result_base":13,"text":"(((⪎⋱⫍1A7A⪄⪎⋱⫍A4A)≫≃)∲⫓(⪎⋱⫍20A7↺⪎⋱⫍3850)⨓(⪎⋱⫍A29⊉≛↸⪎⋱⫍A8A))⨽(⪎⋱⫍24C0≧⫂∧⪎⋱⫍10A3⩷∴⪎⋱⫍179B⨪↰⇹⪎⋱⫍1519⫸⊐((⪲⇎⪎⋱⫍2562)⩨(⪎⋱⫍659∧)))=-Inf","reverse_text":"-Inf=(((⪎⋱⫍1A7A⪄⪎⋱⫍A4A)≫≃)∲⫓(⪎⋱⫍20A7↺⪎⋱⫍3850)⨓(⪎⋱⫍A29⊉≛↸⪎⋱⫍A8A))⨽(⪎⋱⫍24C0≧⫂∧⪎⋱⫍10A3⩷∴⪎⋱⫍179B⨪↰⇹⪎⋱⫍1519⫸⊐((⪲⇎⪎⋱⫍2562)⩨(⪎⋱⫍659∧)))","cot":[{"info":"⪎⋱⫍1A7A⪄⪎⋱⫍A4A=⪎⋱⫍-17A0A1","layer":3},{"info":"⪎⋱⫍-17A0A1≫≃=⪎⋱⫍-326635","layer":2},{"info":"⪎⋱⫍20A7↺⪎⋱⫍3850=⪎⋱⫍3850","layer":3},{"info":"⪎⋱⫍A29⊉≛↸⪎⋱⫍A8A=⪎⋱⫍1755","layer":3},{"info":"⪎⋱⫍3850⨓⪎⋱⫍1755=⪎⋱⫍-1758","layer":2},{"info":"⪎⋱⫍-326635∲⫓⪎⋱⫍-1758=⪎⋱⫍-326635","layer":1},{"info":"⪎⋱⫍24C0≧⫂∧⪎⋱⫍10A3=⪎⋱⫍ACB","layer":3},{"info":"⪎⋱⫍179B⨪↰⇹⪎⋱⫍1519=⪎⋱⫍179B","layer":3},{"info":"⪎⋱⫍ACB⩷∴⪎⋱⫍179B=⪎⋱⫍-1696","layer":2},{"info":"⪲⇎⪎⋱⫍2562=⪎⋱⫍4AC4","layer":3},{"info":"⪎⋱⫍659∧=NaN","layer":3},{"info":"⪎⋱⫍4AC4⩨NaN=NaN","layer":2},{"info":"⪎⋱⫍-1696⫸⊐NaN=⪎⋱⫍596","layer":1},{"info":"⪎⋱⫍-326635⨽⪎⋱⫍596=-Inf","layer":0}]}
{"id":576,"expression_no_base_symbol":"((⨑⩽⪐($7257$∸))∸)⪢((⊙↵-$3909$)↬($2365$*$1188$))⨟⋌⩍(($2408$⩚⊴⇥$6946$)⨪↰⇹($3806$∑⇟⊟$1122$))","expression":"((⨑⩽⪐(⪎⋱⫍33C3∸))∸)⪢((⊙↵-⪎⋱⫍1A19)↬(⪎⋱⫍10CC*⪎⋱⫍705))⨟⋌⩍((⪎⋱⫍1133⩚⊴⇥⪎⋱⫍3214)⨪↰⇹(⪎⋱⫍196A∑⇟⊟⪎⋱⫍684))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":14983,"operation_count":11,"complexity_ratio":1362.090909090909,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":7257,"base":13}}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":3909,"base":13}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2365,"base":13},"right_expr":{"type":"numeric_atoms","value":1188,"base":13}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2408,"base":13},"right_expr":{"type":"numeric_atoms","value":6946,"base":13}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":3806,"base":13},"right_expr":{"type":"numeric_atoms","value":1122,"base":13}}}}},"used_operators":["dWAJyo7jo9","o20kRiQErp","AF7qkfDlqP","rGHVDoGpnC","B5M0gjZbta","oWn0xqSxBt","9HNa5Wba9A","tmPS8pqC7x","NTOWxs364D","U7g4x0WXJJ"],"dependent_operators":["k8jYdgA6NY","tmPS8pqC7x","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","Tcnh7f0tEr","rGHVDoGpnC","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=7257","layer":4},{"info":"compute unary expreesion, input=7257, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"compute unary expreesion, input=177, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=96","layer":2},{"info":"compute unary expreesion, input=96, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":1},{"info":"number node, value=3909","layer":4},{"info":"compute unary expreesion, input=3909, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=2365","layer":4},{"info":"number node, value=1188","layer":4},{"info":"compute binary expreesion, left_input=2365, right_input=1188, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=2809620","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=2809620, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=2408","layer":4},{"info":"number node, value=6946","layer":4},{"info":"compute binary expreesion, left_input=2408, right_input=6946, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-9475","layer":3},{"info":"number node, value=3806","layer":4},{"info":"number node, value=1122","layer":4},{"info":"compute binary expreesion, left_input=3806, right_input=1122, 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=-9475, 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=9475","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=9475, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=177, 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":13,"result_base":13,"text":"((⨑⩽⪐(⪎⋱⫍33C3∸))∸)⪢((⊙↵-⪎⋱⫍1A19)↬(⪎⋱⫍10CC*⪎⋱⫍705))⨟⋌⩍((⪎⋱⫍1133⩚⊴⇥⪎⋱⫍3214)⨪↰⇹(⪎⋱⫍196A∑⇟⊟⪎⋱⫍684))=NaN","reverse_text":"NaN=((⨑⩽⪐(⪎⋱⫍33C3∸))∸)⪢((⊙↵-⪎⋱⫍1A19)↬(⪎⋱⫍10CC*⪎⋱⫍705))⨟⋌⩍((⪎⋱⫍1133⩚⊴⇥⪎⋱⫍3214)⨪↰⇹(⪎⋱⫍196A∑⇟⊟⪎⋱⫍684))","cot":[{"info":"⪎⋱⫍33C3∸=⪎⋱⫍108","layer":3},{"info":"⨑⩽⪐⪎⋱⫍108=⪎⋱⫍75","layer":2},{"info":"⪎⋱⫍75∸=⪎⋱⫍108","layer":1},{"info":"⊙↵-⪎⋱⫍1A19=⪎⋱⫍-1","layer":3},{"info":"⪎⋱⫍10CC*⪎⋱⫍705=⪎⋱⫍774AC8","layer":3},{"info":"⪎⋱⫍-1↬⪎⋱⫍774AC8=NaN","layer":2},{"info":"⪎⋱⫍1133⩚⊴⇥⪎⋱⫍3214=⪎⋱⫍-440B","layer":3},{"info":"⪎⋱⫍196A∑⇟⊟⪎⋱⫍684=NaN","layer":3},{"info":"⪎⋱⫍-440B⨪↰⇹NaN=⪎⋱⫍440B","layer":2},{"info":"NaN⨟⋌⩍⪎⋱⫍440B=NaN","layer":1},{"info":"⪎⋱⫍108⪢NaN=NaN","layer":0}]}
{"id":577,"expression_no_base_symbol":"(∂(⋗⩬⋾$2798$⨪↰⇹$5998$))≹⇙⪍((⫛⫱⨽$5096$)⇷($2383$↺$1034$)⨓(($2601$⫡⨏$5805$)⨸⪁($1324$⊠≄⫣)))","expression":"(∂(⋗⩬⋾⪎⋱⫍1373⨪↰⇹⪎⋱⫍2965))≹⇙⪍((⫛⫱⨽⪎⋱⫍2420)⇷(⪎⋱⫍1114↺⪎⋱⫍617)⨓((⪎⋱⫍1251⫡⨏⪎⋱⫍2847)⨸⪁(⪎⋱⫍7AB⊠≄⫣)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":55465,"operation_count":11,"complexity_ratio":5042.272727272727,"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":2798,"base":13},"right_expr":{"type":"numeric_atoms","value":5998,"base":13}}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":5096,"base":13}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2383,"base":13},"right_expr":{"type":"numeric_atoms","value":1034,"base":13}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2601,"base":13},"right_expr":{"type":"numeric_atoms","value":5805,"base":13}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":1324,"base":13}}}}},"used_operators":["AHs5Up7iyr","Uaa54Peajs","DpFCA1CohY","tmPS8pqC7x","3ViojmjbAp","mp7IySMOzn","DlLNRPXxWL","7j4O788W3g","g55IO6H4Gj","QMFrweE19q","DIvbN7qnHd"],"dependent_operators":["dWAJyo7jo9","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2798","layer":4},{"info":"number node, value=5998","layer":4},{"info":"compute binary expreesion, left_input=2798, right_input=5998, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=2798","layer":3},{"info":"compute unary expreesion, input=2798, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-8394","layer":2},{"info":"compute unary expreesion, input=-8394, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=8130","layer":1},{"info":"number node, value=5096","layer":4},{"info":"compute unary expreesion, input=5096, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=2383","layer":4},{"info":"number node, value=1034","layer":4},{"info":"compute binary expreesion, left_input=2383, right_input=1034, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1034","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1034, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2068","layer":2},{"info":"number node, value=2601","layer":4},{"info":"number node, value=5805","layer":4},{"info":"compute binary expreesion, left_input=2601, right_input=5805, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=25398","layer":3},{"info":"number node, value=1324","layer":4},{"info":"compute unary expreesion, input=1324, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=25398, right_input=0, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=50796","layer":2},{"info":"compute binary expreesion, left_input=2068, right_input=50796, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-50799","layer":1},{"info":"compute binary expreesion, left_input=8130, right_input=-50799, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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":13,"result_base":13,"text":"(∂(⋗⩬⋾⪎⋱⫍1373⨪↰⇹⪎⋱⫍2965))≹⇙⪍((⫛⫱⨽⪎⋱⫍2420)⇷(⪎⋱⫍1114↺⪎⋱⫍617)⨓((⪎⋱⫍1251⫡⨏⪎⋱⫍2847)⨸⪁(⪎⋱⫍7AB⊠≄⫣)))=NaN","reverse_text":"NaN=(∂(⋗⩬⋾⪎⋱⫍1373⨪↰⇹⪎⋱⫍2965))≹⇙⪍((⫛⫱⨽⪎⋱⫍2420)⇷(⪎⋱⫍1114↺⪎⋱⫍617)⨓((⪎⋱⫍1251⫡⨏⪎⋱⫍2847)⨸⪁(⪎⋱⫍7AB⊠≄⫣)))","cot":[{"info":"⪎⋱⫍1373⨪↰⇹⪎⋱⫍2965=⪎⋱⫍1373","layer":3},{"info":"⋗⩬⋾⪎⋱⫍1373=⪎⋱⫍-3A89","layer":2},{"info":"∂⪎⋱⫍-3A89=⪎⋱⫍3915","layer":1},{"info":"⫛⫱⨽⪎⋱⫍2420=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍1114↺⪎⋱⫍617=⪎⋱⫍617","layer":3},{"info":"⪎⋱⫍0⇷⪎⋱⫍617=⪎⋱⫍C31","layer":2},{"info":"⪎⋱⫍1251⫡⨏⪎⋱⫍2847=⪎⋱⫍B739","layer":3},{"info":"⪎⋱⫍7AB⊠≄⫣=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍B739⨸⪁⪎⋱⫍0=⪎⋱⫍1A175","layer":2},{"info":"⪎⋱⫍C31⨓⪎⋱⫍1A175=⪎⋱⫍-1A178","layer":1},{"info":"⪎⋱⫍3915≹⇙⪍⪎⋱⫍-1A178=NaN","layer":0}]}
{"id":578,"expression_no_base_symbol":"(⨵≀≌($1820$⊭∹↮))⪘⫢(($4592$⇼⇔∾$1529$)≭($5271$⫥∨⫟$4805$))⨁⊸⫻","expression":"(⨵≀≌(⪎⋱⫍AA0⊭∹↮))⪘⫢((⪎⋱⫍2123⇼⇔∾⪎⋱⫍908)≭(⪎⋱⫍2526⫥∨⫟⪎⋱⫍2258))⨁⊸⫻","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":176,"operation_count":7,"complexity_ratio":25.142857142857142,"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":1820,"base":13}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":4592,"base":13},"right_expr":{"type":"numeric_atoms","value":1529,"base":13}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":5271,"base":13},"right_expr":{"type":"numeric_atoms","value":4805,"base":13}}}}},"used_operators":["glklzrTFfD","oacrs7FA3X","srAu1WTS94","xNBdhnnwKq","rxpJgHHUmx","tifHPKVTfV","KYD54nUTWz"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1820","layer":4},{"info":"compute unary expreesion, input=1820, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=3640","layer":3},{"info":"compute unary expreesion, input=3640, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-10920","layer":2},{"info":"number node, value=4592","layer":4},{"info":"number node, value=1529","layer":4},{"info":"compute binary expreesion, left_input=4592, right_input=1529, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-3063","layer":3},{"info":"number node, value=5271","layer":4},{"info":"number node, value=4805","layer":4},{"info":"compute binary expreesion, left_input=5271, right_input=4805, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-3063, 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=-10920, 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 = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⨵≀≌(⪎⋱⫍AA0⊭∹↮))⪘⫢((⪎⋱⫍2123⇼⇔∾⪎⋱⫍908)≭(⪎⋱⫍2526⫥∨⫟⪎⋱⫍2258))⨁⊸⫻=NaN","reverse_text":"NaN=(⨵≀≌(⪎⋱⫍AA0⊭∹↮))⪘⫢((⪎⋱⫍2123⇼⇔∾⪎⋱⫍908)≭(⪎⋱⫍2526⫥∨⫟⪎⋱⫍2258))⨁⊸⫻","cot":[{"info":"⪎⋱⫍AA0⊭∹↮=⪎⋱⫍1870","layer":3},{"info":"⨵≀≌⪎⋱⫍1870=⪎⋱⫍-4C80","layer":2},{"info":"⪎⋱⫍2123⇼⇔∾⪎⋱⫍908=⪎⋱⫍-1518","layer":3},{"info":"⪎⋱⫍2526⫥∨⫟⪎⋱⫍2258=NaN","layer":3},{"info":"⪎⋱⫍-1518≭NaN=NaN","layer":2},{"info":"⪎⋱⫍-4C80⪘⫢NaN=NaN","layer":1},{"info":"NaN⨁⊸⫻=NaN","layer":0}]}
{"id":579,"expression_no_base_symbol":"(⊙↵-(($9107$⊭↱$3525$)≧⫂∧$3076$∑⇟⊟$1625$))⨎(($3895$⋳⪒$3506$)∀⇚≩($3126$⩠)⨽((⊄⩳↩$4610$)⪒($2325$⩠)))","expression":"(⊙↵-((⪎⋱⫍41B7⊭↱⪎⋱⫍17B2)≧⫂∧⪎⋱⫍1528∑⇟⊟⪎⋱⫍980))⨎((⪎⋱⫍1A08⋳⪒⪎⋱⫍1799)∀⇚≩(⪎⋱⫍1566⩠)⨽((⊄⩳↩⪎⋱⫍2138)⪒(⪎⋱⫍109B⩠)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":28074,"operation_count":12,"complexity_ratio":2339.5,"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":9107,"base":13},"right_expr":{"type":"numeric_atoms","value":3525,"base":13}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":3076,"base":13},"right_expr":{"type":"numeric_atoms","value":1625,"base":13}}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":3895,"base":13},"right_expr":{"type":"numeric_atoms","value":3506,"base":13}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":3126,"base":13}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":4610,"base":13}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":2325,"base":13}}}}},"used_operators":["rJVOvQCfKK","oWn0xqSxBt","Ph9nP6C5qx","COABgblf1C","U7g4x0WXJJ","8HhzD0ZcuI","LRNGc0VcxI","12rbrZMWeM","sJAwomhLZr","f6k1SAg4EE","8w2t5hMYqp"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=9107","layer":4},{"info":"number node, value=3525","layer":4},{"info":"compute binary expreesion, left_input=9107, right_input=3525, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-11159","layer":3},{"info":"number node, value=3076","layer":4},{"info":"number node, value=1625","layer":4},{"info":"compute binary expreesion, left_input=3076, right_input=1625, 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=-11159, 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 = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=nan","layer":1},{"info":"number node, value=3895","layer":4},{"info":"number node, value=3506","layer":4},{"info":"compute binary expreesion, left_input=3895, right_input=3506, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=3997","layer":3},{"info":"number node, value=3126","layer":4},{"info":"compute unary expreesion, input=3126, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=3997, 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=4610","layer":4},{"info":"compute unary expreesion, input=4610, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-13830","layer":3},{"info":"number node, value=2325","layer":4},{"info":"compute unary expreesion, input=2325, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-13830, right_input=0, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=13830","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=13830, 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 = 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":13,"result_base":13,"text":"(⊙↵-((⪎⋱⫍41B7⊭↱⪎⋱⫍17B2)≧⫂∧⪎⋱⫍1528∑⇟⊟⪎⋱⫍980))⨎((⪎⋱⫍1A08⋳⪒⪎⋱⫍1799)∀⇚≩(⪎⋱⫍1566⩠)⨽((⊄⩳↩⪎⋱⫍2138)⪒(⪎⋱⫍109B⩠)))=NaN","reverse_text":"NaN=(⊙↵-((⪎⋱⫍41B7⊭↱⪎⋱⫍17B2)≧⫂∧⪎⋱⫍1528∑⇟⊟⪎⋱⫍980))⨎((⪎⋱⫍1A08⋳⪒⪎⋱⫍1799)∀⇚≩(⪎⋱⫍1566⩠)⨽((⊄⩳↩⪎⋱⫍2138)⪒(⪎⋱⫍109B⩠)))","cot":[{"info":"⪎⋱⫍41B7⊭↱⪎⋱⫍17B2=⪎⋱⫍-5105","layer":3},{"info":"⪎⋱⫍1528∑⇟⊟⪎⋱⫍980=NaN","layer":3},{"info":"⪎⋱⫍-5105≧⫂∧NaN=NaN","layer":2},{"info":"⊙↵-NaN=NaN","layer":1},{"info":"⪎⋱⫍1A08⋳⪒⪎⋱⫍1799=⪎⋱⫍1A86","layer":3},{"info":"⪎⋱⫍1566⩠=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍1A86∀⇚≩⪎⋱⫍0=NaN","layer":2},{"info":"⊄⩳↩⪎⋱⫍2138=⪎⋱⫍-63AB","layer":3},{"info":"⪎⋱⫍109B⩠=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍-63AB⪒⪎⋱⫍0=⪎⋱⫍63AB","layer":2},{"info":"NaN⨽⪎⋱⫍63AB=NaN","layer":1},{"info":"NaN⨎NaN=NaN","layer":0}]}
{"id":580,"expression_no_base_symbol":"⋗⩬⋾(≦∁($1749$⊦⊿)≹⇙⪍($6900$⋓$6120$))","expression":"⋗⩬⋾(≦∁(⪎⋱⫍A47⊦⊿)≹⇙⪍(⪎⋱⫍31AA⋓⪎⋱⫍2A2A))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":66,"operation_count":5,"complexity_ratio":13.2,"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":1749,"base":13}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":6900,"base":13},"right_expr":{"type":"numeric_atoms","value":6120,"base":13}}}}},"used_operators":["DpFCA1CohY","9ICcGScMcE","AHs5Up7iyr","14qkJME0vr","T2fj7uvVaJ"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","dWAJyo7jo9","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"⪎⋱⫍-126","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1749","layer":4},{"info":"compute unary expreesion, input=1749, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-5326","layer":3},{"info":"number node, value=6900","layer":4},{"info":"number node, value=6120","layer":4},{"info":"compute binary expreesion, left_input=6900, right_input=6120, op_id = T2fj7uvVaJ binary_op_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=-5326, 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=-5326","layer":2},{"info":"compute unary expreesion, input=-5326, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=67","layer":1},{"info":"compute unary expreesion, input=67, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-201","layer":0}],"base":13,"result_base":13,"text":"⋗⩬⋾(≦∁(⪎⋱⫍A47⊦⊿)≹⇙⪍(⪎⋱⫍31AA⋓⪎⋱⫍2A2A))=⪎⋱⫍-126","reverse_text":"⪎⋱⫍-126=⋗⩬⋾(≦∁(⪎⋱⫍A47⊦⊿)≹⇙⪍(⪎⋱⫍31AA⋓⪎⋱⫍2A2A))","cot":[{"info":"⪎⋱⫍A47⊦⊿=⪎⋱⫍-2569","layer":3},{"info":"⪎⋱⫍31AA⋓⪎⋱⫍2A2A=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍-2569≹⇙⪍⪎⋱⫍0=⪎⋱⫍-2569","layer":2},{"info":"≦∁⪎⋱⫍-2569=⪎⋱⫍52","layer":1},{"info":"⋗⩬⋾⪎⋱⫍52=⪎⋱⫍-126","layer":0}]}
{"id":581,"expression_no_base_symbol":"(↥$7879$⨰$2310$)⋝⋈⪟($6828$⇷$2422$⪄($1019$⊭↱$5564$))⫥∨⫟(⊄⩳↩($2664$≭$3242$))⨓($1024$⋝⋈⪟$2829$)⨪↰⇹($1886$-$2085$)","expression":"(↥⪎⋱⫍3781⨰⪎⋱⫍1089)⋝⋈⪟(⪎⋱⫍3153⇷⪎⋱⫍1144⪄(⪎⋱⫍605⊭↱⪎⋱⫍26C0))⫥∨⫟(⊄⩳↩(⪎⋱⫍129C≭⪎⋱⫍1625))⨓(⪎⋱⫍60A⋝⋈⪟⪎⋱⫍1398)⨪↰⇹(⪎⋱⫍B21-⪎⋱⫍C45)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":98033,"operation_count":13,"complexity_ratio":7541.0,"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":7879,"base":13},"right_expr":{"type":"numeric_atoms","value":2310,"base":13}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":6828,"base":13},"right_expr":{"type":"numeric_atoms","value":2422,"base":13}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1019,"base":13},"right_expr":{"type":"numeric_atoms","value":5564,"base":13}}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2664,"base":13},"right_expr":{"type":"numeric_atoms","value":3242,"base":13}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1024,"base":13},"right_expr":{"type":"numeric_atoms","value":2829,"base":13}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1886,"base":13},"right_expr":{"type":"numeric_atoms","value":2085,"base":13}}}}},"used_operators":["KYD54nUTWz","2DDjHMKMc0","A8NUZmVepG","eewbuw0ToL","SUmda5xLS4","mp7IySMOzn","COABgblf1C","3ViojmjbAp","8w2t5hMYqp","rxpJgHHUmx","tmPS8pqC7x","rysDP5nf3Z"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=7879","layer":4},{"info":"number node, value=2310","layer":4},{"info":"compute binary expreesion, left_input=7879, right_input=2310, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=5579","layer":3},{"info":"compute unary expreesion, input=5579, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=20","layer":2},{"info":"number node, value=6828","layer":4},{"info":"number node, value=2422","layer":4},{"info":"compute binary expreesion, left_input=6828, right_input=2422, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=4844","layer":3},{"info":"number node, value=1019","layer":4},{"info":"number node, value=5564","layer":4},{"info":"compute binary expreesion, left_input=1019, right_input=5564, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=9095","layer":3},{"info":"compute binary expreesion, left_input=4844, right_input=9095, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-749381","layer":2},{"info":"compute binary expreesion, left_input=20, right_input=-749381, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=20","layer":1},{"info":"number node, value=2664","layer":4},{"info":"number node, value=3242","layer":4},{"info":"compute binary expreesion, left_input=2664, right_input=3242, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=nan","layer":2},{"info":"number node, value=1024","layer":4},{"info":"number node, value=2829","layer":4},{"info":"compute binary expreesion, left_input=1024, right_input=2829, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1024","layer":3},{"info":"number node, value=1886","layer":4},{"info":"number node, value=2085","layer":4},{"info":"compute binary expreesion, left_input=1886, right_input=2085, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-199","layer":3},{"info":"compute binary expreesion, left_input=1024, right_input=-199, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1024","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1024, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1027","layer":1},{"info":"compute binary expreesion, left_input=20, right_input=-1027, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(↥⪎⋱⫍3781⨰⪎⋱⫍1089)⋝⋈⪟(⪎⋱⫍3153⇷⪎⋱⫍1144⪄(⪎⋱⫍605⊭↱⪎⋱⫍26C0))⫥∨⫟(⊄⩳↩(⪎⋱⫍129C≭⪎⋱⫍1625))⨓(⪎⋱⫍60A⋝⋈⪟⪎⋱⫍1398)⨪↰⇹(⪎⋱⫍B21-⪎⋱⫍C45)=NaN","reverse_text":"NaN=(↥⪎⋱⫍3781⨰⪎⋱⫍1089)⋝⋈⪟(⪎⋱⫍3153⇷⪎⋱⫍1144⪄(⪎⋱⫍605⊭↱⪎⋱⫍26C0))⫥∨⫟(⊄⩳↩(⪎⋱⫍129C≭⪎⋱⫍1625))⨓(⪎⋱⫍60A⋝⋈⪟⪎⋱⫍1398)⨪↰⇹(⪎⋱⫍B21-⪎⋱⫍C45)","cot":[{"info":"⪎⋱⫍3781⨰⪎⋱⫍1089=⪎⋱⫍2702","layer":3},{"info":"↥⪎⋱⫍2702=⪎⋱⫍17","layer":2},{"info":"⪎⋱⫍3153⇷⪎⋱⫍1144=⪎⋱⫍2288","layer":3},{"info":"⪎⋱⫍605⊭↱⪎⋱⫍26C0=⪎⋱⫍41A8","layer":3},{"info":"⪎⋱⫍2288⪄⪎⋱⫍41A8=⪎⋱⫍-203129","layer":2},{"info":"⪎⋱⫍17⋝⋈⪟⪎⋱⫍-203129=⪎⋱⫍17","layer":1},{"info":"⪎⋱⫍129C≭⪎⋱⫍1625=NaN","layer":3},{"info":"⊄⩳↩NaN=NaN","layer":2},{"info":"⪎⋱⫍60A⋝⋈⪟⪎⋱⫍1398=⪎⋱⫍60A","layer":3},{"info":"⪎⋱⫍B21-⪎⋱⫍C45=⪎⋱⫍-124","layer":3},{"info":"⪎⋱⫍60A⨪↰⇹⪎⋱⫍-124=⪎⋱⫍60A","layer":2},{"info":"NaN⨓⪎⋱⫍60A=⪎⋱⫍-610","layer":1},{"info":"⪎⋱⫍17⫥∨⫟⪎⋱⫍-610=NaN","layer":0}]}
{"id":582,"expression_no_base_symbol":"(($1524$⨎$3309$⊉≛↸($4789$↛⩡⫤))⨓(($4763$%$1127$)⋥≓≎$4265$⋝⋈⪟$2759$))⪮%⊝(⪝⪂⫅(⫓⪴(⨵≀≌$3489$)))","expression":"((⪎⋱⫍903⨎⪎⋱⫍1677⊉≛↸(⪎⋱⫍2245↛⩡⫤))⨓((⪎⋱⫍2225%⪎⋱⫍689)⋥≓≎⪎⋱⫍1C31⋝⋈⪟⪎⋱⫍1343))⪮%⊝(⪝⪂⫅(⫓⪴(⨵≀≌⪎⋱⫍1785)))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":33458,"operation_count":11,"complexity_ratio":3041.6363636363635,"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":1524,"base":13},"right_expr":{"type":"numeric_atoms","value":3309,"base":13}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":4789,"base":13}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":4763,"base":13},"right_expr":{"type":"numeric_atoms","value":1127,"base":13}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":4265,"base":13},"right_expr":{"type":"numeric_atoms","value":2759,"base":13}}}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":3489,"base":13}}}}},"used_operators":["IWmyXbctLI","3ViojmjbAp","DZ8iAZOCBD","rJVOvQCfKK","FU0Cs4j7VP","Qy55tPpLXF","k8jYdgA6NY","2DDjHMKMc0","XTarYq4gQB","eLxqMNBOBk","srAu1WTS94"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","9HNa5Wba9A","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1524","layer":4},{"info":"number node, value=3309","layer":4},{"info":"compute binary expreesion, left_input=1524, right_input=3309, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3309","layer":3},{"info":"number node, value=4789","layer":4},{"info":"compute unary expreesion, input=4789, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-719228","layer":3},{"info":"compute binary expreesion, left_input=3309, right_input=-719228, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=6618","layer":2},{"info":"number node, value=4763","layer":4},{"info":"number node, value=1127","layer":4},{"info":"compute binary expreesion, left_input=4763, right_input=1127, op_id = k8jYdgA6NY binary_op_definition= 'None', output=255","layer":3},{"info":"number node, value=4265","layer":4},{"info":"number node, value=2759","layer":4},{"info":"compute binary expreesion, left_input=4265, right_input=2759, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=4265","layer":3},{"info":"compute binary expreesion, left_input=255, right_input=4265, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=8308","layer":2},{"info":"compute binary expreesion, left_input=6618, right_input=8308, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-8311","layer":1},{"info":"number node, value=3489","layer":4},{"info":"compute unary expreesion, input=3489, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-10467","layer":3},{"info":"compute unary expreesion, input=-10467, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=109558089","layer":2},{"info":"compute unary expreesion, input=109558089, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-inf","layer":1},{"info":"compute binary expreesion, left_input=-8311, right_input=-inf, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍903⨎⪎⋱⫍1677⊉≛↸(⪎⋱⫍2245↛⩡⫤))⨓((⪎⋱⫍2225%⪎⋱⫍689)⋥≓≎⪎⋱⫍1C31⋝⋈⪟⪎⋱⫍1343))⪮%⊝(⪝⪂⫅(⫓⪴(⨵≀≌⪎⋱⫍1785)))=NaN","reverse_text":"NaN=((⪎⋱⫍903⨎⪎⋱⫍1677⊉≛↸(⪎⋱⫍2245↛⩡⫤))⨓((⪎⋱⫍2225%⪎⋱⫍689)⋥≓≎⪎⋱⫍1C31⋝⋈⪟⪎⋱⫍1343))⪮%⊝(⪝⪂⫅(⫓⪴(⨵≀≌⪎⋱⫍1785)))","cot":[{"info":"⪎⋱⫍903⨎⪎⋱⫍1677=⪎⋱⫍1677","layer":3},{"info":"⪎⋱⫍2245↛⩡⫤=⪎⋱⫍-1C24A3","layer":3},{"info":"⪎⋱⫍1677⊉≛↸⪎⋱⫍-1C24A3=⪎⋱⫍3021","layer":2},{"info":"⪎⋱⫍2225%⪎⋱⫍689=⪎⋱⫍168","layer":3},{"info":"⪎⋱⫍1C31⋝⋈⪟⪎⋱⫍1343=⪎⋱⫍1C31","layer":3},{"info":"⪎⋱⫍168⋥≓≎⪎⋱⫍1C31=⪎⋱⫍3A21","layer":2},{"info":"⪎⋱⫍3021⨓⪎⋱⫍3A21=⪎⋱⫍-3A24","layer":1},{"info":"⨵≀≌⪎⋱⫍1785=⪎⋱⫍-49C2","layer":3},{"info":"⫓⪴⪎⋱⫍-49C2=⪎⋱⫍1990C194","layer":2},{"info":"⪝⪂⫅⪎⋱⫍1990C194=-Inf","layer":1},{"info":"⪎⋱⫍-3A24⪮%⊝-Inf=NaN","layer":0}]}
{"id":583,"expression_no_base_symbol":"(($3214$∑⇟⊟$2790$)≹⇙⪍($4610$⪄$1844$)⪒($2175$⪒$1169$)+⇶⊼$1085$⩷∴$5902$)⨐⩸⫘(≉(⋗⩬⋾(≦∁$4478$)))","expression":"((⪎⋱⫍1603∑⇟⊟⪎⋱⫍1368)≹⇙⪍(⪎⋱⫍2138⪄⪎⋱⫍ABB)⪒(⪎⋱⫍CB4⪒⪎⋱⫍6BC)+⇶⊼⪎⋱⫍656⩷∴⪎⋱⫍28C0)⨐⩸⫘(≉(⋗⩬⋾(≦∁⪎⋱⫍2066)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":116,"operation_count":11,"complexity_ratio":10.545454545454545,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":3214,"base":13},"right_expr":{"type":"numeric_atoms","value":2790,"base":13}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":4610,"base":13},"right_expr":{"type":"numeric_atoms","value":1844,"base":13}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2175,"base":13},"right_expr":{"type":"numeric_atoms","value":1169,"base":13}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1085,"base":13},"right_expr":{"type":"numeric_atoms","value":5902,"base":13}}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":4478,"base":13}}}}},"used_operators":["fu6greOZ01","f6k1SAg4EE","AHs5Up7iyr","U7g4x0WXJJ","SUmda5xLS4","TpPTUOHfaN","9FxExcQeMw","e1ybzncUwg","DpFCA1CohY","9ICcGScMcE"],"dependent_operators":["3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3214","layer":4},{"info":"number node, value=2790","layer":4},{"info":"compute binary expreesion, left_input=3214, right_input=2790, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=4610","layer":4},{"info":"number node, value=1844","layer":4},{"info":"compute binary expreesion, left_input=4610, right_input=1844, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-685745","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-685745, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=2175","layer":4},{"info":"number node, value=1169","layer":4},{"info":"compute binary expreesion, left_input=2175, right_input=1169, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-3344","layer":3},{"info":"number node, value=1085","layer":4},{"info":"number node, value=5902","layer":4},{"info":"compute binary expreesion, left_input=1085, right_input=5902, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-9666","layer":3},{"info":"compute binary expreesion, left_input=-3344, right_input=-9666, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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":"number node, value=4478","layer":4},{"info":"compute unary expreesion, input=4478, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=4478","layer":3},{"info":"compute unary expreesion, input=4478, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-13434","layer":2},{"info":"compute unary expreesion, input=-13434, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=-13434","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-13434, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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":13,"result_base":13,"text":"((⪎⋱⫍1603∑⇟⊟⪎⋱⫍1368)≹⇙⪍(⪎⋱⫍2138⪄⪎⋱⫍ABB)⪒(⪎⋱⫍CB4⪒⪎⋱⫍6BC)+⇶⊼⪎⋱⫍656⩷∴⪎⋱⫍28C0)⨐⩸⫘(≉(⋗⩬⋾(≦∁⪎⋱⫍2066)))=NaN","reverse_text":"NaN=((⪎⋱⫍1603∑⇟⊟⪎⋱⫍1368)≹⇙⪍(⪎⋱⫍2138⪄⪎⋱⫍ABB)⪒(⪎⋱⫍CB4⪒⪎⋱⫍6BC)+⇶⊼⪎⋱⫍656⩷∴⪎⋱⫍28C0)⨐⩸⫘(≉(⋗⩬⋾(≦∁⪎⋱⫍2066)))","cot":[{"info":"⪎⋱⫍1603∑⇟⊟⪎⋱⫍1368=NaN","layer":3},{"info":"⪎⋱⫍2138⪄⪎⋱⫍ABB=⪎⋱⫍-1B0188","layer":3},{"info":"NaN≹⇙⪍⪎⋱⫍-1B0188=NaN","layer":2},{"info":"⪎⋱⫍CB4⪒⪎⋱⫍6BC=⪎⋱⫍-16A3","layer":3},{"info":"⪎⋱⫍656⩷∴⪎⋱⫍28C0=⪎⋱⫍-4527","layer":3},{"info":"⪎⋱⫍-16A3+⇶⊼⪎⋱⫍-4527=NaN","layer":2},{"info":"NaN⪒NaN=NaN","layer":1},{"info":"≦∁⪎⋱⫍2066=⪎⋱⫍2066","layer":3},{"info":"⋗⩬⋾⪎⋱⫍2066=⪎⋱⫍-6165","layer":2},{"info":"≉⪎⋱⫍-6165=⪎⋱⫍-6165","layer":1},{"info":"NaN⨐⩸⫘⪎⋱⫍-6165=NaN","layer":0}]}
{"id":584,"expression_no_base_symbol":"((-$1556$)⨽($2139$*$5935$)⊉≛↸(↯⪼(⨵≀≌$1467$)))⊴(≦∁(⫓⪴($4874$⨁⊸⫻)))","expression":"((-⪎⋱⫍929)⨽(⪎⋱⫍C87*⪎⋱⫍2917)⊉≛↸(↯⪼(⨵≀≌⪎⋱⫍88B)))⊴(≦∁(⫓⪴(⪎⋱⫍22AC⨁⊸⫻)))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":8608,"operation_count":10,"complexity_ratio":860.8,"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":1556,"base":13}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2139,"base":13},"right_expr":{"type":"numeric_atoms","value":5935,"base":13}}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1467,"base":13}}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":4874,"base":13}}}}},"used_operators":["Nsiff2A1zJ","DZ8iAZOCBD","8HhzD0ZcuI","t8gj7n24qd","9HNa5Wba9A","8jW3W4yZS5","srAu1WTS94","9ICcGScMcE","eLxqMNBOBk","glklzrTFfD"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1556","layer":4},{"info":"compute unary expreesion, input=1556, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1556","layer":3},{"info":"number node, value=2139","layer":4},{"info":"number node, value=5935","layer":4},{"info":"compute binary expreesion, left_input=2139, right_input=5935, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=12694965","layer":3},{"info":"compute binary expreesion, left_input=-1556, right_input=12694965, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-45346989","layer":2},{"info":"number node, value=1467","layer":4},{"info":"compute unary expreesion, input=1467, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-4401","layer":3},{"info":"compute unary expreesion, input=-4401, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=7885","layer":2},{"info":"compute binary expreesion, left_input=-45346989, right_input=7885, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=-7885","layer":1},{"info":"number node, value=4874","layer":4},{"info":"compute unary expreesion, input=4874, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=4874","layer":3},{"info":"compute unary expreesion, input=4874, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=23755876","layer":2},{"info":"compute unary expreesion, input=23755876, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=23755876","layer":1},{"info":"compute binary expreesion, left_input=-7885, right_input=23755876, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((-⪎⋱⫍929)⨽(⪎⋱⫍C87*⪎⋱⫍2917)⊉≛↸(↯⪼(⨵≀≌⪎⋱⫍88B)))⊴(≦∁(⫓⪴(⪎⋱⫍22AC⨁⊸⫻)))=NaN","reverse_text":"NaN=((-⪎⋱⫍929)⨽(⪎⋱⫍C87*⪎⋱⫍2917)⊉≛↸(↯⪼(⨵≀≌⪎⋱⫍88B)))⊴(≦∁(⫓⪴(⪎⋱⫍22AC⨁⊸⫻)))","cot":[{"info":"-⪎⋱⫍929=⪎⋱⫍-929","layer":3},{"info":"⪎⋱⫍C87*⪎⋱⫍2917=⪎⋱⫍282641A","layer":3},{"info":"⪎⋱⫍-929⨽⪎⋱⫍282641A=⪎⋱⫍-951954C","layer":2},{"info":"⨵≀≌⪎⋱⫍88B=⪎⋱⫍-2007","layer":3},{"info":"↯⪼⪎⋱⫍-2007=⪎⋱⫍3787","layer":2},{"info":"⪎⋱⫍-951954C⊉≛↸⪎⋱⫍3787=⪎⋱⫍-3787","layer":1},{"info":"⪎⋱⫍22AC⨁⊸⫻=⪎⋱⫍22AC","layer":3},{"info":"⫓⪴⪎⋱⫍22AC=⪎⋱⫍4BC9B41","layer":2},{"info":"≦∁⪎⋱⫍4BC9B41=⪎⋱⫍4BC9B41","layer":1},{"info":"⪎⋱⫍-3787⊴⪎⋱⫍4BC9B41=NaN","layer":0}]}
{"id":585,"expression_no_base_symbol":"(≉$1329$⨪↰⇹$3642$)-($2444$⩨$8701$)∀⇚≩($2505$⇋≉)+((⫓⪴$2907$)-$2279$↬$2340$⪨≂((≤/$1327$)⊘))","expression":"(≉⪎⋱⫍7B3⨪↰⇹⪎⋱⫍1872)-(⪎⋱⫍1160⩨⪎⋱⫍3C64)∀⇚≩(⪎⋱⫍11A9⇋≉)+((⫓⪴⪎⋱⫍1428)-⪎⋱⫍1064↬⪎⋱⫍10B0⪨≂((≤/⪎⋱⫍7B1)⊘))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":4341,"operation_count":13,"complexity_ratio":333.9230769230769,"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":1329,"base":13},"right_expr":{"type":"numeric_atoms","value":3642,"base":13}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2444,"base":13},"right_expr":{"type":"numeric_atoms","value":8701,"base":13}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":2505,"base":13}}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":2907,"base":13}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2279,"base":13},"right_expr":{"type":"numeric_atoms","value":2340,"base":13}}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1327,"base":13}}}}},"used_operators":["W4YGzv6Whe","rysDP5nf3Z","e1ybzncUwg","tmPS8pqC7x","LRNGc0VcxI","2DlMacCsIx","XIabStNQrY","sdazOOVcIp","eLxqMNBOBk","B5M0gjZbta","gu96TGCTMs","eLAdDNolq6"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","X99M06cbEe","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","rGHVDoGpnC","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1329","layer":4},{"info":"number node, value=3642","layer":4},{"info":"compute binary expreesion, left_input=1329, right_input=3642, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1329","layer":3},{"info":"compute unary expreesion, input=1329, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=1860","layer":2},{"info":"number node, value=2444","layer":4},{"info":"number node, value=8701","layer":4},{"info":"compute binary expreesion, left_input=2444, right_input=8701, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-9","layer":3},{"info":"number node, value=2505","layer":4},{"info":"compute unary expreesion, input=2505, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=4912","layer":3},{"info":"compute binary expreesion, left_input=-9, right_input=4912, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=-2754515","layer":2},{"info":"compute binary expreesion, left_input=1860, right_input=-2754515, op_id = rysDP5nf3Z binary_op_definition= 'None', output=2756375","layer":1},{"info":"number node, value=2907","layer":4},{"info":"compute unary expreesion, input=2907, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=8450649","layer":3},{"info":"number node, value=2279","layer":4},{"info":"number node, value=2340","layer":4},{"info":"compute binary expreesion, left_input=2279, right_input=2340, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=8450649, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=1327","layer":4},{"info":"compute unary expreesion, input=1327, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-843","layer":3},{"info":"compute unary expreesion, input=-843, 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 = 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=2756375, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":13,"result_base":13,"text":"(≉⪎⋱⫍7B3⨪↰⇹⪎⋱⫍1872)-(⪎⋱⫍1160⩨⪎⋱⫍3C64)∀⇚≩(⪎⋱⫍11A9⇋≉)+((⫓⪴⪎⋱⫍1428)-⪎⋱⫍1064↬⪎⋱⫍10B0⪨≂((≤/⪎⋱⫍7B1)⊘))=NaN","reverse_text":"NaN=(≉⪎⋱⫍7B3⨪↰⇹⪎⋱⫍1872)-(⪎⋱⫍1160⩨⪎⋱⫍3C64)∀⇚≩(⪎⋱⫍11A9⇋≉)+((⫓⪴⪎⋱⫍1428)-⪎⋱⫍1064↬⪎⋱⫍10B0⪨≂((≤/⪎⋱⫍7B1)⊘))","cot":[{"info":"⪎⋱⫍7B3⨪↰⇹⪎⋱⫍1872=⪎⋱⫍7B3","layer":3},{"info":"≉⪎⋱⫍7B3=⪎⋱⫍B01","layer":2},{"info":"⪎⋱⫍1160⩨⪎⋱⫍3C64=⪎⋱⫍-9","layer":3},{"info":"⪎⋱⫍11A9⇋≉=⪎⋱⫍230B","layer":3},{"info":"⪎⋱⫍-9∀⇚≩⪎⋱⫍230B=⪎⋱⫍-7559BA","layer":2},{"info":"⪎⋱⫍B01-⪎⋱⫍-7559BA=⪎⋱⫍7567BB","layer":1},{"info":"⫓⪴⪎⋱⫍1428=⪎⋱⫍199B5AC","layer":3},{"info":"⪎⋱⫍1064↬⪎⋱⫍10B0=NaN","layer":3},{"info":"⪎⋱⫍199B5AC-NaN=NaN","layer":2},{"info":"≤/⪎⋱⫍7B1=⪎⋱⫍-4CB","layer":3},{"info":"⪎⋱⫍-4CB⊘=⪎⋱⫍-1","layer":2},{"info":"NaN⪨≂⪎⋱⫍-1=NaN","layer":1},{"info":"⪎⋱⫍7567BB+NaN=NaN","layer":0}]}
{"id":586,"expression_no_base_symbol":"(((≦∁$6986$)⨁⊸⫻)⨳⩥⨓($1501$⨳⩥⨓$1775$)≧⫂∧($1792$⩚⊴⇥$1701$))⋝⋈⪟((⇁⨣⪵$2130$)⊉≛↸$3627$∼$7434$)↬(≉$1120$)⪛($2686$⪒$2380$)","expression":"(((≦∁⪎⋱⫍3245)⨁⊸⫻)⨳⩥⨓(⪎⋱⫍8B6⨳⩥⨓⪎⋱⫍A67)≧⫂∧(⪎⋱⫍A7B⩚⊴⇥⪎⋱⫍A0B))⋝⋈⪟((⇁⨣⪵⪎⋱⫍C7B)⊉≛↸⪎⋱⫍1860∼⪎⋱⫍34CB)↬(≉⪎⋱⫍682)⪛(⪎⋱⫍12B8⪒⪎⋱⫍1111)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":102,"operation_count":14,"complexity_ratio":7.285714285714286,"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":6986,"base":13}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1501,"base":13},"right_expr":{"type":"numeric_atoms","value":1775,"base":13}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1792,"base":13},"right_expr":{"type":"numeric_atoms","value":1701,"base":13}}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":2130,"base":13}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":3627,"base":13},"right_expr":{"type":"numeric_atoms","value":7434,"base":13}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1120,"base":13}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2686,"base":13},"right_expr":{"type":"numeric_atoms","value":2380,"base":13}}}}},"used_operators":["2DDjHMKMc0","nCS4ZIUYfx","glklzrTFfD","9ICcGScMcE","Ph9nP6C5qx","NTOWxs364D","B5M0gjZbta","DZ8iAZOCBD","inkyxCbjAn","DyGG3AbaNP","uFcxV4UQCh","e1ybzncUwg","f6k1SAg4EE"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=6986","layer":4},{"info":"compute unary expreesion, input=6986, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=6986","layer":3},{"info":"compute unary expreesion, input=6986, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=6986","layer":2},{"info":"number node, value=1501","layer":4},{"info":"number node, value=1775","layer":4},{"info":"compute binary expreesion, left_input=1501, right_input=1775, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=274","layer":3},{"info":"number node, value=1792","layer":4},{"info":"number node, value=1701","layer":4},{"info":"compute binary expreesion, left_input=1792, right_input=1701, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3614","layer":3},{"info":"compute binary expreesion, left_input=274, right_input=-3614, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=3888","layer":2},{"info":"compute binary expreesion, left_input=6986, right_input=3888, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-3098","layer":1},{"info":"number node, value=2130","layer":4},{"info":"compute unary expreesion, input=2130, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=3627","layer":4},{"info":"number node, value=7434","layer":4},{"info":"compute binary expreesion, left_input=3627, right_input=7434, 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 = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":2},{"info":"number node, value=1120","layer":4},{"info":"compute unary expreesion, input=1120, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=1651","layer":3},{"info":"number node, value=2686","layer":4},{"info":"number node, value=2380","layer":4},{"info":"compute binary expreesion, left_input=2686, right_input=2380, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5066","layer":3},{"info":"compute binary expreesion, left_input=1651, right_input=-5066, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=-3415","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-3415, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=-3098, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(((≦∁⪎⋱⫍3245)⨁⊸⫻)⨳⩥⨓(⪎⋱⫍8B6⨳⩥⨓⪎⋱⫍A67)≧⫂∧(⪎⋱⫍A7B⩚⊴⇥⪎⋱⫍A0B))⋝⋈⪟((⇁⨣⪵⪎⋱⫍C7B)⊉≛↸⪎⋱⫍1860∼⪎⋱⫍34CB)↬(≉⪎⋱⫍682)⪛(⪎⋱⫍12B8⪒⪎⋱⫍1111)=NaN","reverse_text":"NaN=(((≦∁⪎⋱⫍3245)⨁⊸⫻)⨳⩥⨓(⪎⋱⫍8B6⨳⩥⨓⪎⋱⫍A67)≧⫂∧(⪎⋱⫍A7B⩚⊴⇥⪎⋱⫍A0B))⋝⋈⪟((⇁⨣⪵⪎⋱⫍C7B)⊉≛↸⪎⋱⫍1860∼⪎⋱⫍34CB)↬(≉⪎⋱⫍682)⪛(⪎⋱⫍12B8⪒⪎⋱⫍1111)","cot":[{"info":"≦∁⪎⋱⫍3245=⪎⋱⫍3245","layer":3},{"info":"⪎⋱⫍3245⨁⊸⫻=⪎⋱⫍3245","layer":2},{"info":"⪎⋱⫍8B6⨳⩥⨓⪎⋱⫍A67=⪎⋱⫍181","layer":3},{"info":"⪎⋱⫍A7B⩚⊴⇥⪎⋱⫍A0B=⪎⋱⫍-1850","layer":3},{"info":"⪎⋱⫍181≧⫂∧⪎⋱⫍-1850=⪎⋱⫍1A01","layer":2},{"info":"⪎⋱⫍3245⨳⩥⨓⪎⋱⫍1A01=⪎⋱⫍-1544","layer":1},{"info":"⇁⨣⪵⪎⋱⫍C7B=NaN","layer":3},{"info":"⪎⋱⫍1860∼⪎⋱⫍34CB=NaN","layer":3},{"info":"NaN⊉≛↸NaN=NaN","layer":2},{"info":"≉⪎⋱⫍682=⪎⋱⫍9A0","layer":3},{"info":"⪎⋱⫍12B8⪒⪎⋱⫍1111=⪎⋱⫍-23C9","layer":3},{"info":"⪎⋱⫍9A0⪛⪎⋱⫍-23C9=⪎⋱⫍-1729","layer":2},{"info":"NaN↬⪎⋱⫍-1729=NaN","layer":1},{"info":"⪎⋱⫍-1544⋝⋈⪟NaN=NaN","layer":0}]}
{"id":587,"expression_no_base_symbol":"($1053$↺$1456$⇼⇔∾(⨵≀≌$7192$))+⇶⊼(⇁⨣⪵$2093$⩷∴$2642$)⪨≂($1395$⩚⊴⇥$2927$⪒$3924$⊉≛↸$2804$)≎⊠⪸(⇁⨣⪵$9726$⪄$7364$)","expression":"(⪎⋱⫍630↺⪎⋱⫍880⇼⇔∾(⨵≀≌⪎⋱⫍3373))+⇶⊼(⇁⨣⪵⪎⋱⫍C50⩷∴⪎⋱⫍1283)⪨≂(⪎⋱⫍834⩚⊴⇥⪎⋱⫍1442⪒⪎⋱⫍1A2B⊉≛↸⪎⋱⫍1379)≎⊠⪸(⇁⨣⪵⪎⋱⫍4572⪄⪎⋱⫍3476)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":135,"operation_count":13,"complexity_ratio":10.384615384615385,"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":1053,"base":13},"right_expr":{"type":"numeric_atoms","value":1456,"base":13}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":7192,"base":13}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2093,"base":13},"right_expr":{"type":"numeric_atoms","value":2642,"base":13}}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1395,"base":13},"right_expr":{"type":"numeric_atoms","value":2927,"base":13}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":3924,"base":13},"right_expr":{"type":"numeric_atoms","value":2804,"base":13}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":9726,"base":13},"right_expr":{"type":"numeric_atoms","value":7364,"base":13}}}}},"used_operators":["sdazOOVcIp","TpPTUOHfaN","tifHPKVTfV","7j4O788W3g","srAu1WTS94","inkyxCbjAn","9FxExcQeMw","bJkvcejdHO","f6k1SAg4EE","NTOWxs364D","DZ8iAZOCBD","SUmda5xLS4"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","B5M0gjZbta","rysDP5nf3Z","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1053","layer":4},{"info":"number node, value=1456","layer":4},{"info":"compute binary expreesion, left_input=1053, right_input=1456, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1456","layer":3},{"info":"number node, value=7192","layer":4},{"info":"compute unary expreesion, input=7192, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-21576","layer":3},{"info":"compute binary expreesion, left_input=1456, right_input=-21576, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-23032","layer":2},{"info":"number node, value=2093","layer":4},{"info":"number node, value=2642","layer":4},{"info":"compute binary expreesion, left_input=2093, right_input=2642, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-1130","layer":3},{"info":"compute unary expreesion, input=-1130, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-23032, 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=1395","layer":4},{"info":"number node, value=2927","layer":4},{"info":"compute binary expreesion, left_input=1395, right_input=2927, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4443","layer":3},{"info":"number node, value=3924","layer":4},{"info":"number node, value=2804","layer":4},{"info":"compute binary expreesion, left_input=3924, right_input=2804, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=7848","layer":3},{"info":"compute binary expreesion, left_input=-4443, right_input=7848, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-3405","layer":2},{"info":"number node, value=9726","layer":4},{"info":"number node, value=7364","layer":4},{"info":"compute binary expreesion, left_input=9726, right_input=7364, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-1464993","layer":3},{"info":"compute unary expreesion, input=-1464993, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-3405, 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 = 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":13,"result_base":13,"text":"(⪎⋱⫍630↺⪎⋱⫍880⇼⇔∾(⨵≀≌⪎⋱⫍3373))+⇶⊼(⇁⨣⪵⪎⋱⫍C50⩷∴⪎⋱⫍1283)⪨≂(⪎⋱⫍834⩚⊴⇥⪎⋱⫍1442⪒⪎⋱⫍1A2B⊉≛↸⪎⋱⫍1379)≎⊠⪸(⇁⨣⪵⪎⋱⫍4572⪄⪎⋱⫍3476)=NaN","reverse_text":"NaN=(⪎⋱⫍630↺⪎⋱⫍880⇼⇔∾(⨵≀≌⪎⋱⫍3373))+⇶⊼(⇁⨣⪵⪎⋱⫍C50⩷∴⪎⋱⫍1283)⪨≂(⪎⋱⫍834⩚⊴⇥⪎⋱⫍1442⪒⪎⋱⫍1A2B⊉≛↸⪎⋱⫍1379)≎⊠⪸(⇁⨣⪵⪎⋱⫍4572⪄⪎⋱⫍3476)","cot":[{"info":"⪎⋱⫍630↺⪎⋱⫍880=⪎⋱⫍880","layer":3},{"info":"⨵≀≌⪎⋱⫍3373=⪎⋱⫍-9A89","layer":3},{"info":"⪎⋱⫍880⇼⇔∾⪎⋱⫍-9A89=⪎⋱⫍-A639","layer":2},{"info":"⪎⋱⫍C50⩷∴⪎⋱⫍1283=⪎⋱⫍-68C","layer":3},{"info":"⇁⨣⪵⪎⋱⫍-68C=NaN","layer":2},{"info":"⪎⋱⫍-A639+⇶⊼NaN=NaN","layer":1},{"info":"⪎⋱⫍834⩚⊴⇥⪎⋱⫍1442=⪎⋱⫍-203A","layer":3},{"info":"⪎⋱⫍1A2B⊉≛↸⪎⋱⫍1379=⪎⋱⫍3759","layer":3},{"info":"⪎⋱⫍-203A⪒⪎⋱⫍3759=⪎⋱⫍-171C","layer":2},{"info":"⪎⋱⫍4572⪄⪎⋱⫍3476=⪎⋱⫍-3C3A7A","layer":3},{"info":"⇁⨣⪵⪎⋱⫍-3C3A7A=NaN","layer":2},{"info":"⪎⋱⫍-171C≎⊠⪸NaN=⪎⋱⫍52","layer":1},{"info":"NaN⪨≂⪎⋱⫍52=NaN","layer":0}]}
{"id":588,"expression_no_base_symbol":"($1919$⇼⇔∾$4176$↪⪝)∼(($2045$⋫)⋝⋈⪟($6055$-$3763$))⨓(($9198$⨰$7084$⫥∨⫟($2225$⊭∹↮))⊪)","expression":"(⪎⋱⫍B48⇼⇔∾⪎⋱⫍1B93↪⪝)∼((⪎⋱⫍C14⋫)⋝⋈⪟(⪎⋱⫍29AA-⪎⋱⫍1936))⨓((⪎⋱⫍4257⨰⪎⋱⫍32BC⫥∨⫟(⪎⋱⫍1022⊭∹↮))⊪)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2710542,"operation_count":11,"complexity_ratio":246412.9090909091,"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":1919,"base":13},"right_expr":{"type":"numeric_atoms","value":4176,"base":13}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":2045,"base":13}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":6055,"base":13},"right_expr":{"type":"numeric_atoms","value":3763,"base":13}}}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":9198,"base":13},"right_expr":{"type":"numeric_atoms","value":7084,"base":13}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":2225,"base":13}}}}},"used_operators":["3ViojmjbAp","DyGG3AbaNP","l07mrZUIn9","tifHPKVTfV","2DDjHMKMc0","JL8yIekQnl","rysDP5nf3Z","zVYPLywUTj","KYD54nUTWz","eewbuw0ToL","xNBdhnnwKq"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","9HNa5Wba9A","2DDjHMKMc0","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1919","layer":4},{"info":"number node, value=4176","layer":4},{"info":"compute binary expreesion, left_input=1919, right_input=4176, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=2257","layer":3},{"info":"compute unary expreesion, input=2257, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=138087774","layer":2},{"info":"number node, value=2045","layer":4},{"info":"compute unary expreesion, input=2045, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=2045","layer":3},{"info":"number node, value=6055","layer":4},{"info":"number node, value=3763","layer":4},{"info":"compute binary expreesion, left_input=6055, right_input=3763, op_id = rysDP5nf3Z binary_op_definition= 'None', output=2292","layer":3},{"info":"compute binary expreesion, left_input=2045, right_input=2292, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2045","layer":2},{"info":"compute binary expreesion, left_input=138087774, right_input=2045, 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=9198","layer":4},{"info":"number node, value=7084","layer":4},{"info":"compute binary expreesion, left_input=9198, right_input=7084, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=2124","layer":3},{"info":"number node, value=2225","layer":4},{"info":"compute unary expreesion, input=2225, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=4450","layer":3},{"info":"compute binary expreesion, left_input=2124, right_input=4450, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍B48⇼⇔∾⪎⋱⫍1B93↪⪝)∼((⪎⋱⫍C14⋫)⋝⋈⪟(⪎⋱⫍29AA-⪎⋱⫍1936))⨓((⪎⋱⫍4257⨰⪎⋱⫍32BC⫥∨⫟(⪎⋱⫍1022⊭∹↮))⊪)=NaN","reverse_text":"NaN=(⪎⋱⫍B48⇼⇔∾⪎⋱⫍1B93↪⪝)∼((⪎⋱⫍C14⋫)⋝⋈⪟(⪎⋱⫍29AA-⪎⋱⫍1936))⨓((⪎⋱⫍4257⨰⪎⋱⫍32BC⫥∨⫟(⪎⋱⫍1022⊭∹↮))⊪)","cot":[{"info":"⪎⋱⫍B48⇼⇔∾⪎⋱⫍1B93=⪎⋱⫍1048","layer":3},{"info":"⪎⋱⫍1048↪⪝=⪎⋱⫍227BAB56","layer":2},{"info":"⪎⋱⫍C14⋫=⪎⋱⫍C14","layer":3},{"info":"⪎⋱⫍29AA-⪎⋱⫍1936=⪎⋱⫍1074","layer":3},{"info":"⪎⋱⫍C14⋝⋈⪟⪎⋱⫍1074=⪎⋱⫍C14","layer":2},{"info":"⪎⋱⫍227BAB56∼⪎⋱⫍C14=NaN","layer":1},{"info":"⪎⋱⫍4257⨰⪎⋱⫍32BC=⪎⋱⫍C75","layer":3},{"info":"⪎⋱⫍1022⊭∹↮=⪎⋱⫍2044","layer":3},{"info":"⪎⋱⫍C75⫥∨⫟⪎⋱⫍2044=NaN","layer":2},{"info":"NaN⊪=NaN","layer":1},{"info":"NaN⨓NaN=NaN","layer":0}]}
{"id":589,"expression_no_base_symbol":"(⫓⪴(⨈⫕($4905$⊠≄⫣)))≭(($4163$/$7434$⫡⨏$4033$⪒$1300$)⫸⊐($1013$⋷$5826$)⇷($1585$∲⫓$2014$))","expression":"(⫓⪴(⨈⫕(⪎⋱⫍2304⊠≄⫣)))≭((⪎⋱⫍1B83/⪎⋱⫍34CB⫡⨏⪎⋱⫍1AB3⪒⪎⋱⫍790)⫸⊐(⪎⋱⫍5CC⋷⪎⋱⫍2862)⇷(⪎⋱⫍94C∲⫓⪎⋱⫍BBC))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":149383,"operation_count":11,"complexity_ratio":13580.272727272728,"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":4905,"base":13}}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":4163,"base":13},"right_expr":{"type":"numeric_atoms","value":7434,"base":13}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":4033,"base":13},"right_expr":{"type":"numeric_atoms","value":1300,"base":13}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1013,"base":13},"right_expr":{"type":"numeric_atoms","value":5826,"base":13}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1585,"base":13},"right_expr":{"type":"numeric_atoms","value":2014,"base":13}}}}},"used_operators":["rxpJgHHUmx","eLxqMNBOBk","megm06wKyl","DIvbN7qnHd","mqXw5SEYmG","QMFrweE19q","XhwjNDsVaA","f6k1SAg4EE","mp7IySMOzn","23Mk6UjR3U","i8ToyICDmI"],"dependent_operators":["AHs5Up7iyr","9HNa5Wba9A","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4905","layer":4},{"info":"compute unary expreesion, input=4905, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":2},{"info":"compute unary expreesion, input=-21, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=441","layer":1},{"info":"number node, value=4163","layer":4},{"info":"number node, value=7434","layer":4},{"info":"compute binary expreesion, left_input=4163, right_input=7434, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=4033","layer":4},{"info":"number node, value=1300","layer":4},{"info":"compute binary expreesion, left_input=4033, right_input=1300, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5333","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-5333, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=-9883","layer":2},{"info":"number node, value=1013","layer":4},{"info":"number node, value=5826","layer":4},{"info":"compute binary expreesion, left_input=1013, right_input=5826, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=10639","layer":3},{"info":"number node, value=1585","layer":4},{"info":"number node, value=2014","layer":4},{"info":"compute binary expreesion, left_input=1585, right_input=2014, 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=10639, right_input=0, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-9883, 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 binary expreesion, left_input=441, right_input=968, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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":13,"result_base":13,"text":"(⫓⪴(⨈⫕(⪎⋱⫍2304⊠≄⫣)))≭((⪎⋱⫍1B83/⪎⋱⫍34CB⫡⨏⪎⋱⫍1AB3⪒⪎⋱⫍790)⫸⊐(⪎⋱⫍5CC⋷⪎⋱⫍2862)⇷(⪎⋱⫍94C∲⫓⪎⋱⫍BBC))=NaN","reverse_text":"NaN=(⫓⪴(⨈⫕(⪎⋱⫍2304⊠≄⫣)))≭((⪎⋱⫍1B83/⪎⋱⫍34CB⫡⨏⪎⋱⫍1AB3⪒⪎⋱⫍790)⫸⊐(⪎⋱⫍5CC⋷⪎⋱⫍2862)⇷(⪎⋱⫍94C∲⫓⪎⋱⫍BBC))","cot":[{"info":"⪎⋱⫍2304⊠≄⫣=⪎⋱⫍0","layer":3},{"info":"⨈⫕⪎⋱⫍0=⪎⋱⫍-18","layer":2},{"info":"⫓⪴⪎⋱⫍-18=⪎⋱⫍27C","layer":1},{"info":"⪎⋱⫍1B83/⪎⋱⫍34CB=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍1AB3⪒⪎⋱⫍790=⪎⋱⫍-2573","layer":3},{"info":"⪎⋱⫍0⫡⨏⪎⋱⫍-2573=⪎⋱⫍-4663","layer":2},{"info":"⪎⋱⫍5CC⋷⪎⋱⫍2862=⪎⋱⫍4AC5","layer":3},{"info":"⪎⋱⫍94C∲⫓⪎⋱⫍BBC=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍4AC5⇷⪎⋱⫍0=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍-4663⫸⊐⪎⋱⫍0=⪎⋱⫍596","layer":1},{"info":"⪎⋱⫍27C≭⪎⋱⫍596=NaN","layer":0}]}
{"id":590,"expression_no_base_symbol":"(($1293$⪨≂$5635$)⪛$2080$⪮%⊝$6559$⨎($3153$∀⇚≩$5174$∲⫓($1291$↪⪝)))⨟⋌⩍($1697$∑⇟⊟$1279$↛⩡⫤)⪮%⊝(↔($8196$↬$2717$))","expression":"((⪎⋱⫍786⪨≂⪎⋱⫍2746)⪛⪎⋱⫍C40⪮%⊝⪎⋱⫍2CA7⨎(⪎⋱⫍1587∀⇚≩⪎⋱⫍2480∲⫓(⪎⋱⫍784↪⪝)))⨟⋌⩍(⪎⋱⫍A07∑⇟⊟⪎⋱⫍775↛⩡⫤)⪮%⊝(↔(⪎⋱⫍3966↬⪎⋱⫍1310))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":22889,"operation_count":13,"complexity_ratio":1760.6923076923076,"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":1293,"base":13},"right_expr":{"type":"numeric_atoms","value":5635,"base":13}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2080,"base":13},"right_expr":{"type":"numeric_atoms","value":6559,"base":13}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":3153,"base":13},"right_expr":{"type":"numeric_atoms","value":5174,"base":13}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":1291,"base":13}}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1697,"base":13},"right_expr":{"type":"numeric_atoms","value":1279,"base":13}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":8196,"base":13},"right_expr":{"type":"numeric_atoms","value":2717,"base":13}}}}},"used_operators":["rGHVDoGpnC","rJVOvQCfKK","uFcxV4UQCh","sdazOOVcIp","IWmyXbctLI","i8ToyICDmI","LRNGc0VcxI","l07mrZUIn9","FU0Cs4j7VP","U7g4x0WXJJ","ruOEQAzv1W","B5M0gjZbta"],"dependent_operators":["Tcnh7f0tEr","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","9HNa5Wba9A","2DDjHMKMc0","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1293","layer":4},{"info":"number node, value=5635","layer":4},{"info":"compute binary expreesion, left_input=1293, right_input=5635, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-8582","layer":3},{"info":"number node, value=2080","layer":4},{"info":"number node, value=6559","layer":4},{"info":"compute binary expreesion, left_input=2080, right_input=6559, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=4476","layer":3},{"info":"compute binary expreesion, left_input=-8582, right_input=4476, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=370","layer":2},{"info":"number node, value=3153","layer":4},{"info":"number node, value=5174","layer":4},{"info":"compute binary expreesion, left_input=3153, right_input=5174, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=1291","layer":4},{"info":"compute unary expreesion, input=1291, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=78985962","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=78985962, 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=370, 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=1697","layer":4},{"info":"number node, value=1279","layer":4},{"info":"compute binary expreesion, left_input=1697, right_input=1279, 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 = 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=8196","layer":4},{"info":"number node, value=2717","layer":4},{"info":"compute binary expreesion, left_input=8196, right_input=2717, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=nan, right_input=-134, 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 = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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":13,"result_base":13,"text":"((⪎⋱⫍786⪨≂⪎⋱⫍2746)⪛⪎⋱⫍C40⪮%⊝⪎⋱⫍2CA7⨎(⪎⋱⫍1587∀⇚≩⪎⋱⫍2480∲⫓(⪎⋱⫍784↪⪝)))⨟⋌⩍(⪎⋱⫍A07∑⇟⊟⪎⋱⫍775↛⩡⫤)⪮%⊝(↔(⪎⋱⫍3966↬⪎⋱⫍1310))=NaN","reverse_text":"NaN=((⪎⋱⫍786⪨≂⪎⋱⫍2746)⪛⪎⋱⫍C40⪮%⊝⪎⋱⫍2CA7⨎(⪎⋱⫍1587∀⇚≩⪎⋱⫍2480∲⫓(⪎⋱⫍784↪⪝)))⨟⋌⩍(⪎⋱⫍A07∑⇟⊟⪎⋱⫍775↛⩡⫤)⪮%⊝(↔(⪎⋱⫍3966↬⪎⋱⫍1310))","cot":[{"info":"⪎⋱⫍786⪨≂⪎⋱⫍2746=⪎⋱⫍-3BA2","layer":3},{"info":"⪎⋱⫍C40⪮%⊝⪎⋱⫍2CA7=⪎⋱⫍2064","layer":3},{"info":"⪎⋱⫍-3BA2⪛⪎⋱⫍2064=⪎⋱⫍226","layer":2},{"info":"⪎⋱⫍1587∀⇚≩⪎⋱⫍2480=NaN","layer":3},{"info":"⪎⋱⫍784↪⪝=⪎⋱⫍13496973","layer":3},{"info":"NaN∲⫓⪎⋱⫍13496973=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍226⨎⪎⋱⫍0=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍A07∑⇟⊟⪎⋱⫍775=NaN","layer":3},{"info":"NaN↛⩡⫤=NaN","layer":2},{"info":"⪎⋱⫍3966↬⪎⋱⫍1310=NaN","layer":3},{"info":"↔NaN=⪎⋱⫍-A4","layer":2},{"info":"NaN⪮%⊝⪎⋱⫍-A4=NaN","layer":1},{"info":"⪎⋱⫍0⨟⋌⩍NaN=NaN","layer":0}]}
{"id":591,"expression_no_base_symbol":"(($1988$⋓$3639$)∑⇟⊟($1164$⨸⪁$3060$)⇼⇔∾($1014$⪘⫢$1883$)∀⇚≩($1684$⪨≂$1386$))≹⇙⪍((+⊝⨔($5254$⨳⩥⨓$4046$))⪛($5337$⨎$1022$⨳⩥⨓$1093$⪢$2099$))","expression":"((⪎⋱⫍B9C⋓⪎⋱⫍186C)∑⇟⊟(⪎⋱⫍6B7⨸⪁⪎⋱⫍1515)⇼⇔∾(⪎⋱⫍600⪘⫢⪎⋱⫍B1B)∀⇚≩(⪎⋱⫍9C7⪨≂⪎⋱⫍828))≹⇙⪍((+⊝⨔(⪎⋱⫍2512⨳⩥⨓⪎⋱⫍1AC3))⪛(⪎⋱⫍2577⨎⪎⋱⫍608⨳⩥⨓⪎⋱⫍661⪢⪎⋱⫍C56))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":15498,"operation_count":14,"complexity_ratio":1107.0,"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":1988,"base":13},"right_expr":{"type":"numeric_atoms","value":3639,"base":13}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1164,"base":13},"right_expr":{"type":"numeric_atoms","value":3060,"base":13}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1014,"base":13},"right_expr":{"type":"numeric_atoms","value":1883,"base":13}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1684,"base":13},"right_expr":{"type":"numeric_atoms","value":1386,"base":13}}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":5254,"base":13},"right_expr":{"type":"numeric_atoms","value":4046,"base":13}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":5337,"base":13},"right_expr":{"type":"numeric_atoms","value":1022,"base":13}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1093,"base":13},"right_expr":{"type":"numeric_atoms","value":2099,"base":13}}}}},"used_operators":["AHs5Up7iyr","tifHPKVTfV","U7g4x0WXJJ","T2fj7uvVaJ","g55IO6H4Gj","LRNGc0VcxI","oacrs7FA3X","sdazOOVcIp","uFcxV4UQCh","DhbWaqg5eL","nCS4ZIUYfx","rJVOvQCfKK","dWAJyo7jo9"],"dependent_operators":["dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","X99M06cbEe","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1988","layer":4},{"info":"number node, value=3639","layer":4},{"info":"compute binary expreesion, left_input=1988, right_input=3639, op_id = T2fj7uvVaJ binary_op_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=1164","layer":4},{"info":"number node, value=3060","layer":4},{"info":"compute binary expreesion, left_input=1164, right_input=3060, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=8448","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=8448, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"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 = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=1904","layer":3},{"info":"number node, value=1684","layer":4},{"info":"number node, value=1386","layer":4},{"info":"compute binary expreesion, left_input=1684, right_input=1386, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=698","layer":3},{"info":"compute binary expreesion, left_input=1904, right_input=698, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":1},{"info":"number node, value=5254","layer":4},{"info":"number node, value=4046","layer":4},{"info":"compute binary expreesion, left_input=5254, right_input=4046, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-1208","layer":3},{"info":"compute unary expreesion, input=-1208, 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=5337","layer":4},{"info":"number node, value=1022","layer":4},{"info":"compute binary expreesion, left_input=5337, right_input=1022, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1022","layer":3},{"info":"number node, value=1093","layer":4},{"info":"number node, value=2099","layer":4},{"info":"compute binary expreesion, left_input=1093, right_input=2099, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=1022, 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=1522, 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 = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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":13,"result_base":13,"text":"((⪎⋱⫍B9C⋓⪎⋱⫍186C)∑⇟⊟(⪎⋱⫍6B7⨸⪁⪎⋱⫍1515)⇼⇔∾(⪎⋱⫍600⪘⫢⪎⋱⫍B1B)∀⇚≩(⪎⋱⫍9C7⪨≂⪎⋱⫍828))≹⇙⪍((+⊝⨔(⪎⋱⫍2512⨳⩥⨓⪎⋱⫍1AC3))⪛(⪎⋱⫍2577⨎⪎⋱⫍608⨳⩥⨓⪎⋱⫍661⪢⪎⋱⫍C56))=NaN","reverse_text":"NaN=((⪎⋱⫍B9C⋓⪎⋱⫍186C)∑⇟⊟(⪎⋱⫍6B7⨸⪁⪎⋱⫍1515)⇼⇔∾(⪎⋱⫍600⪘⫢⪎⋱⫍B1B)∀⇚≩(⪎⋱⫍9C7⪨≂⪎⋱⫍828))≹⇙⪍((+⊝⨔(⪎⋱⫍2512⨳⩥⨓⪎⋱⫍1AC3))⪛(⪎⋱⫍2577⨎⪎⋱⫍608⨳⩥⨓⪎⋱⫍661⪢⪎⋱⫍C56))","cot":[{"info":"⪎⋱⫍B9C⋓⪎⋱⫍186C=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍6B7⨸⪁⪎⋱⫍1515=⪎⋱⫍3ACB","layer":3},{"info":"⪎⋱⫍0∑⇟⊟⪎⋱⫍3ACB=NaN","layer":2},{"info":"⪎⋱⫍600⪘⫢⪎⋱⫍B1B=⪎⋱⫍B36","layer":3},{"info":"⪎⋱⫍9C7⪨≂⪎⋱⫍828=⪎⋱⫍419","layer":3},{"info":"⪎⋱⫍B36∀⇚≩⪎⋱⫍419=NaN","layer":2},{"info":"NaN⇼⇔∾NaN=NaN","layer":1},{"info":"⪎⋱⫍2512⨳⩥⨓⪎⋱⫍1AC3=⪎⋱⫍-71C","layer":3},{"info":"+⊝⨔⪎⋱⫍-71C=⪎⋱⫍901","layer":2},{"info":"⪎⋱⫍2577⨎⪎⋱⫍608=⪎⋱⫍608","layer":3},{"info":"⪎⋱⫍661⪢⪎⋱⫍C56=NaN","layer":3},{"info":"⪎⋱⫍608⨳⩥⨓NaN=NaN","layer":2},{"info":"⪎⋱⫍901⪛NaN=NaN","layer":1},{"info":"NaN≹⇙⪍NaN=NaN","layer":0}]}
{"id":592,"expression_no_base_symbol":"((↣≠⋷($5169$⨓$5815$))⊭∹↮)⊭↱(($4932$⪒$3661$)⊉≛↸($3360$/$1958$))⋥≓≎($1053$⇼⇔∾$1800$⩨(↔$5056$))","expression":"((↣≠⋷(⪎⋱⫍2478⨓⪎⋱⫍2854))⊭∹↮)⊭↱((⪎⋱⫍2325⪒⪎⋱⫍1888)⊉≛↸(⪎⋱⫍16B6/⪎⋱⫍B78))⋥≓≎(⪎⋱⫍630⇼⇔∾⪎⋱⫍A86⩨(↔⪎⋱⫍23BC))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":5866,"operation_count":11,"complexity_ratio":533.2727272727273,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":5169,"base":13},"right_expr":{"type":"numeric_atoms","value":5815,"base":13}}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":4932,"base":13},"right_expr":{"type":"numeric_atoms","value":3661,"base":13}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":3360,"base":13},"right_expr":{"type":"numeric_atoms","value":1958,"base":13}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1053,"base":13},"right_expr":{"type":"numeric_atoms","value":1800,"base":13}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":5056,"base":13}}}}},"used_operators":["COABgblf1C","xNBdhnnwKq","Asc51vEJeQ","3ViojmjbAp","Qy55tPpLXF","DZ8iAZOCBD","f6k1SAg4EE","XhwjNDsVaA","2DlMacCsIx","tifHPKVTfV","ruOEQAzv1W"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","XhwjNDsVaA","AHs5Up7iyr","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5169","layer":4},{"info":"number node, value=5815","layer":4},{"info":"compute binary expreesion, left_input=5169, right_input=5815, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-5818","layer":3},{"info":"compute unary expreesion, input=-5818, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=nan","layer":1},{"info":"number node, value=4932","layer":4},{"info":"number node, value=3661","layer":4},{"info":"compute binary expreesion, left_input=4932, right_input=3661, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-8593","layer":3},{"info":"number node, value=3360","layer":4},{"info":"number node, value=1958","layer":4},{"info":"compute binary expreesion, left_input=3360, right_input=1958, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"compute binary expreesion, left_input=-8593, right_input=1, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=-1","layer":2},{"info":"number node, value=1053","layer":4},{"info":"number node, value=1800","layer":4},{"info":"compute binary expreesion, left_input=1053, right_input=1800, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=747","layer":3},{"info":"number node, value=5056","layer":4},{"info":"compute unary expreesion, input=5056, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-4783","layer":3},{"info":"compute binary expreesion, left_input=747, right_input=-4783, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=21","layer":2},{"info":"compute binary expreesion, left_input=-1, right_input=21, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=76","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=76, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((↣≠⋷(⪎⋱⫍2478⨓⪎⋱⫍2854))⊭∹↮)⊭↱((⪎⋱⫍2325⪒⪎⋱⫍1888)⊉≛↸(⪎⋱⫍16B6/⪎⋱⫍B78))⋥≓≎(⪎⋱⫍630⇼⇔∾⪎⋱⫍A86⩨(↔⪎⋱⫍23BC))=NaN","reverse_text":"NaN=((↣≠⋷(⪎⋱⫍2478⨓⪎⋱⫍2854))⊭∹↮)⊭↱((⪎⋱⫍2325⪒⪎⋱⫍1888)⊉≛↸(⪎⋱⫍16B6/⪎⋱⫍B78))⋥≓≎(⪎⋱⫍630⇼⇔∾⪎⋱⫍A86⩨(↔⪎⋱⫍23BC))","cot":[{"info":"⪎⋱⫍2478⨓⪎⋱⫍2854=⪎⋱⫍-2857","layer":3},{"info":"↣≠⋷⪎⋱⫍-2857=NaN","layer":2},{"info":"NaN⊭∹↮=NaN","layer":1},{"info":"⪎⋱⫍2325⪒⪎⋱⫍1888=⪎⋱⫍-3BB0","layer":3},{"info":"⪎⋱⫍16B6/⪎⋱⫍B78=⪎⋱⫍1","layer":3},{"info":"⪎⋱⫍-3BB0⊉≛↸⪎⋱⫍1=⪎⋱⫍-1","layer":2},{"info":"⪎⋱⫍630⇼⇔∾⪎⋱⫍A86=⪎⋱⫍456","layer":3},{"info":"↔⪎⋱⫍23BC=⪎⋱⫍-223C","layer":3},{"info":"⪎⋱⫍456⩨⪎⋱⫍-223C=⪎⋱⫍18","layer":2},{"info":"⪎⋱⫍-1⋥≓≎⪎⋱⫍18=⪎⋱⫍5B","layer":1},{"info":"NaN⊭↱⪎⋱⫍5B=NaN","layer":0}]}
{"id":593,"expression_no_base_symbol":"($9391$≧⫂∧$5706$≭(↣≠⋷$1014$))⋓(↥$2014$)∼($4928$⋝⋈⪟$2282$)⨁⊸⫻","expression":"(⪎⋱⫍4375≧⫂∧⪎⋱⫍279C≭(↣≠⋷⪎⋱⫍600))⋓(↥⪎⋱⫍BBC)∼(⪎⋱⫍2321⋝⋈⪟⪎⋱⫍1067)⨁⊸⫻","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":64,"operation_count":8,"complexity_ratio":8.0,"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":9391,"base":13},"right_expr":{"type":"numeric_atoms","value":5706,"base":13}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1014,"base":13}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":2014,"base":13}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":4928,"base":13},"right_expr":{"type":"numeric_atoms","value":2282,"base":13}}}}},"used_operators":["glklzrTFfD","T2fj7uvVaJ","rxpJgHHUmx","Ph9nP6C5qx","Asc51vEJeQ","DyGG3AbaNP","A8NUZmVepG","2DDjHMKMc0"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=9391","layer":4},{"info":"number node, value=5706","layer":4},{"info":"compute binary expreesion, left_input=9391, right_input=5706, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=5233","layer":3},{"info":"number node, value=1014","layer":4},{"info":"compute unary expreesion, input=1014, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=5233, 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=2014","layer":4},{"info":"compute unary expreesion, input=2014, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=25","layer":3},{"info":"number node, value=4928","layer":4},{"info":"number node, value=2282","layer":4},{"info":"compute binary expreesion, left_input=4928, right_input=2282, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=4928","layer":3},{"info":"compute binary expreesion, left_input=25, right_input=4928, 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 = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍4375≧⫂∧⪎⋱⫍279C≭(↣≠⋷⪎⋱⫍600))⋓(↥⪎⋱⫍BBC)∼(⪎⋱⫍2321⋝⋈⪟⪎⋱⫍1067)⨁⊸⫻=NaN","reverse_text":"NaN=(⪎⋱⫍4375≧⫂∧⪎⋱⫍279C≭(↣≠⋷⪎⋱⫍600))⋓(↥⪎⋱⫍BBC)∼(⪎⋱⫍2321⋝⋈⪟⪎⋱⫍1067)⨁⊸⫻","cot":[{"info":"⪎⋱⫍4375≧⫂∧⪎⋱⫍279C=⪎⋱⫍24C7","layer":3},{"info":"↣≠⋷⪎⋱⫍600=NaN","layer":3},{"info":"⪎⋱⫍24C7≭NaN=NaN","layer":2},{"info":"↥⪎⋱⫍BBC=⪎⋱⫍1C","layer":3},{"info":"⪎⋱⫍2321⋝⋈⪟⪎⋱⫍1067=⪎⋱⫍2321","layer":3},{"info":"⪎⋱⫍1C∼⪎⋱⫍2321=NaN","layer":2},{"info":"NaN⋓NaN=NaN","layer":1},{"info":"NaN⨁⊸⫻=NaN","layer":0}]}
{"id":594,"expression_no_base_symbol":"(($1698$*$3273$)≭$1605$⋝⋈⪟$6241$)⋝⋈⪟($1000$⫥∨⫟$5224$↙$3113$⩚⊴⇥$1581$)*($1835$⨓$2486$⪨≂$2054$+⇶⊼$9698$)≎⊠⪸$1122$⨟⋌⩍$1386$⨪↰⇹$1385$⪛$1033$","expression":"((⪎⋱⫍A08*⪎⋱⫍164A)≭⪎⋱⫍966⋝⋈⪟⪎⋱⫍2AC1)⋝⋈⪟(⪎⋱⫍5BC⫥∨⫟⪎⋱⫍24BB↙⪎⋱⫍1556⩚⊴⇥⪎⋱⫍948)*(⪎⋱⫍AB2⨓⪎⋱⫍1193⪨≂⪎⋱⫍C20+⇶⊼⪎⋱⫍4550)≎⊠⪸⪎⋱⫍684⨟⋌⩍⪎⋱⫍828⨪↰⇹⪎⋱⫍827⪛⪎⋱⫍616","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":4379,"operation_count":15,"complexity_ratio":291.93333333333334,"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":1698,"base":13},"right_expr":{"type":"numeric_atoms","value":3273,"base":13}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1605,"base":13},"right_expr":{"type":"numeric_atoms","value":6241,"base":13}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1000,"base":13},"right_expr":{"type":"numeric_atoms","value":5224,"base":13}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":3113,"base":13},"right_expr":{"type":"numeric_atoms","value":1581,"base":13}}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1835,"base":13},"right_expr":{"type":"numeric_atoms","value":2486,"base":13}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2054,"base":13},"right_expr":{"type":"numeric_atoms","value":9698,"base":13}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1122,"base":13},"right_expr":{"type":"numeric_atoms","value":1386,"base":13}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1385,"base":13},"right_expr":{"type":"numeric_atoms","value":1033,"base":13}}}}},"used_operators":["9HNa5Wba9A","2DDjHMKMc0","rxpJgHHUmx","yyfyN0ffXY","KYD54nUTWz","NTOWxs364D","bJkvcejdHO","sdazOOVcIp","3ViojmjbAp","TpPTUOHfaN","tmPS8pqC7x","rGHVDoGpnC","uFcxV4UQCh"],"dependent_operators":["W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","tmPS8pqC7x","DpFCA1CohY","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","AHs5Up7iyr","rJVOvQCfKK","Tcnh7f0tEr","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1698","layer":4},{"info":"number node, value=3273","layer":4},{"info":"compute binary expreesion, left_input=1698, right_input=3273, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=5557554","layer":3},{"info":"number node, value=1605","layer":4},{"info":"number node, value=6241","layer":4},{"info":"compute binary expreesion, left_input=1605, right_input=6241, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1605","layer":3},{"info":"compute binary expreesion, left_input=5557554, right_input=1605, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=1000","layer":4},{"info":"number node, value=5224","layer":4},{"info":"compute binary expreesion, left_input=1000, right_input=5224, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=3113","layer":4},{"info":"number node, value=1581","layer":4},{"info":"compute binary expreesion, left_input=3113, right_input=1581, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4815","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-4815, 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 = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":1},{"info":"number node, value=1835","layer":4},{"info":"number node, value=2486","layer":4},{"info":"compute binary expreesion, left_input=1835, right_input=2486, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2489","layer":3},{"info":"number node, value=2054","layer":4},{"info":"number node, value=9698","layer":4},{"info":"compute binary expreesion, left_input=2054, right_input=9698, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=-2489, 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=1122","layer":4},{"info":"number node, value=1386","layer":4},{"info":"compute binary expreesion, left_input=1122, right_input=1386, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=1385","layer":4},{"info":"number node, value=1033","layer":4},{"info":"compute binary expreesion, left_input=1385, right_input=1033, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=352","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=352, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((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 = 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 = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍A08*⪎⋱⫍164A)≭⪎⋱⫍966⋝⋈⪟⪎⋱⫍2AC1)⋝⋈⪟(⪎⋱⫍5BC⫥∨⫟⪎⋱⫍24BB↙⪎⋱⫍1556⩚⊴⇥⪎⋱⫍948)*(⪎⋱⫍AB2⨓⪎⋱⫍1193⪨≂⪎⋱⫍C20+⇶⊼⪎⋱⫍4550)≎⊠⪸⪎⋱⫍684⨟⋌⩍⪎⋱⫍828⨪↰⇹⪎⋱⫍827⪛⪎⋱⫍616=NaN","reverse_text":"NaN=((⪎⋱⫍A08*⪎⋱⫍164A)≭⪎⋱⫍966⋝⋈⪟⪎⋱⫍2AC1)⋝⋈⪟(⪎⋱⫍5BC⫥∨⫟⪎⋱⫍24BB↙⪎⋱⫍1556⩚⊴⇥⪎⋱⫍948)*(⪎⋱⫍AB2⨓⪎⋱⫍1193⪨≂⪎⋱⫍C20+⇶⊼⪎⋱⫍4550)≎⊠⪸⪎⋱⫍684⨟⋌⩍⪎⋱⫍828⨪↰⇹⪎⋱⫍827⪛⪎⋱⫍616","cot":[{"info":"⪎⋱⫍A08*⪎⋱⫍164A=⪎⋱⫍11C77C2","layer":3},{"info":"⪎⋱⫍966⋝⋈⪟⪎⋱⫍2AC1=⪎⋱⫍966","layer":3},{"info":"⪎⋱⫍11C77C2≭⪎⋱⫍966=NaN","layer":2},{"info":"⪎⋱⫍5BC⫥∨⫟⪎⋱⫍24BB=NaN","layer":3},{"info":"⪎⋱⫍1556⩚⊴⇥⪎⋱⫍948=⪎⋱⫍-2265","layer":3},{"info":"NaN↙⪎⋱⫍-2265=NaN","layer":2},{"info":"NaN⋝⋈⪟NaN=NaN","layer":1},{"info":"⪎⋱⫍AB2⨓⪎⋱⫍1193=⪎⋱⫍-1196","layer":3},{"info":"⪎⋱⫍C20+⇶⊼⪎⋱⫍4550=NaN","layer":3},{"info":"⪎⋱⫍-1196⪨≂NaN=NaN","layer":2},{"info":"⪎⋱⫍684⨟⋌⩍⪎⋱⫍828=NaN","layer":3},{"info":"⪎⋱⫍827⪛⪎⋱⫍616=⪎⋱⫍211","layer":3},{"info":"NaN⨪↰⇹⪎⋱⫍211=NaN","layer":2},{"info":"NaN≎⊠⪸NaN=⪎⋱⫍52","layer":1},{"info":"NaN*⪎⋱⫍52=NaN","layer":0}]}
{"id":595,"expression_no_base_symbol":"(⪲⇎$3811$≹⇙⪍$2594$⫥∨⫟($1487$⫥∨⫟$1006$))+(($7255$≋⫹)≭($2672$⫡⨏$2354$))⋓(≦∁$4830$)⨟⋌⩍($4693$∀⇚≩$3977$)","expression":"(⪲⇎⪎⋱⫍1972≹⇙⪍⪎⋱⫍1247⫥∨⫟(⪎⋱⫍8A5⫥∨⫟⪎⋱⫍5C5))+((⪎⋱⫍33C1≋⫹)≭(⪎⋱⫍12A7⫡⨏⪎⋱⫍10C1))⋓(≦∁⪎⋱⫍2277)⨟⋌⩍(⪎⋱⫍21A0∀⇚≩⪎⋱⫍1A6C)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":33189,"operation_count":12,"complexity_ratio":2765.75,"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":3811,"base":13},"right_expr":{"type":"numeric_atoms","value":2594,"base":13}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1487,"base":13},"right_expr":{"type":"numeric_atoms","value":1006,"base":13}}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":7255,"base":13}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2672,"base":13},"right_expr":{"type":"numeric_atoms","value":2354,"base":13}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":4830,"base":13}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":4693,"base":13},"right_expr":{"type":"numeric_atoms","value":3977,"base":13}}}}},"used_operators":["W4YGzv6Whe","XPYlsWDdGa","KYD54nUTWz","AHs5Up7iyr","T2fj7uvVaJ","rxpJgHHUmx","N41Kp7NANJ","QMFrweE19q","rGHVDoGpnC","9ICcGScMcE","LRNGc0VcxI"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","dWAJyo7jo9","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3811","layer":4},{"info":"number node, value=2594","layer":4},{"info":"compute binary expreesion, left_input=3811, right_input=2594, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=1487","layer":4},{"info":"number node, value=1006","layer":4},{"info":"compute binary expreesion, left_input=1487, right_input=1006, 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 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=7255","layer":4},{"info":"compute unary expreesion, input=7255, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-14510","layer":3},{"info":"number node, value=2672","layer":4},{"info":"number node, value=2354","layer":4},{"info":"compute binary expreesion, left_input=2672, right_input=2354, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=18851","layer":3},{"info":"compute binary expreesion, left_input=-14510, right_input=18851, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=4830","layer":4},{"info":"compute unary expreesion, input=4830, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=4830","layer":3},{"info":"number node, value=4693","layer":4},{"info":"number node, value=3977","layer":4},{"info":"compute binary expreesion, left_input=4693, right_input=3977, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=4830, 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 = T2fj7uvVaJ 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 = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪲⇎⪎⋱⫍1972≹⇙⪍⪎⋱⫍1247⫥∨⫟(⪎⋱⫍8A5⫥∨⫟⪎⋱⫍5C5))+((⪎⋱⫍33C1≋⫹)≭(⪎⋱⫍12A7⫡⨏⪎⋱⫍10C1))⋓(≦∁⪎⋱⫍2277)⨟⋌⩍(⪎⋱⫍21A0∀⇚≩⪎⋱⫍1A6C)=NaN","reverse_text":"NaN=(⪲⇎⪎⋱⫍1972≹⇙⪍⪎⋱⫍1247⫥∨⫟(⪎⋱⫍8A5⫥∨⫟⪎⋱⫍5C5))+((⪎⋱⫍33C1≋⫹)≭(⪎⋱⫍12A7⫡⨏⪎⋱⫍10C1))⋓(≦∁⪎⋱⫍2277)⨟⋌⩍(⪎⋱⫍21A0∀⇚≩⪎⋱⫍1A6C)","cot":[{"info":"⪎⋱⫍1972≹⇙⪍⪎⋱⫍1247=NaN","layer":3},{"info":"⪎⋱⫍8A5⫥∨⫟⪎⋱⫍5C5=NaN","layer":3},{"info":"NaN⫥∨⫟NaN=NaN","layer":2},{"info":"⪲⇎NaN=NaN","layer":1},{"info":"⪎⋱⫍33C1≋⫹=⪎⋱⫍-67B2","layer":3},{"info":"⪎⋱⫍12A7⫡⨏⪎⋱⫍10C1=⪎⋱⫍8771","layer":3},{"info":"⪎⋱⫍-67B2≭⪎⋱⫍8771=NaN","layer":2},{"info":"≦∁⪎⋱⫍2277=⪎⋱⫍2277","layer":3},{"info":"⪎⋱⫍21A0∀⇚≩⪎⋱⫍1A6C=NaN","layer":3},{"info":"⪎⋱⫍2277⨟⋌⩍NaN=NaN","layer":2},{"info":"NaN⋓NaN=NaN","layer":1},{"info":"NaN+NaN=NaN","layer":0}]}
{"id":596,"expression_no_base_symbol":"(($2938$+⇶⊼$1093$)≧⫂∧$2188$⨟⋌⩍$2051$↺($4304$⩨$8537$⊉≛↸($3573$≋⫹)))≭($4512$⨟⋌⩍$1361$⇼⇔∾(∂$3492$)-($1353$%$3137$)-($1086$⊠≄⫣))","expression":"((⪎⋱⫍1450+⇶⊼⪎⋱⫍661)≧⫂∧⪎⋱⫍CC4⨟⋌⩍⪎⋱⫍C1A↺(⪎⋱⫍1C61⩨⪎⋱⫍3B69⊉≛↸(⪎⋱⫍181B≋⫹)))≭(⪎⋱⫍2091⨟⋌⩍⪎⋱⫍809⇼⇔∾(∂⪎⋱⫍1788)-(⪎⋱⫍801%⪎⋱⫍1574)-(⪎⋱⫍657⊠≄⫣))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":25,"operation_count":15,"complexity_ratio":1.6666666666666667,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2938,"base":13},"right_expr":{"type":"numeric_atoms","value":1093,"base":13}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2188,"base":13},"right_expr":{"type":"numeric_atoms","value":2051,"base":13}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":4304,"base":13},"right_expr":{"type":"numeric_atoms","value":8537,"base":13}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":3573,"base":13}}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":4512,"base":13},"right_expr":{"type":"numeric_atoms","value":1361,"base":13}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":3492,"base":13}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1353,"base":13},"right_expr":{"type":"numeric_atoms","value":3137,"base":13}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":1086,"base":13}}}}},"used_operators":["rxpJgHHUmx","7j4O788W3g","Ph9nP6C5qx","TpPTUOHfaN","rGHVDoGpnC","DZ8iAZOCBD","2DlMacCsIx","N41Kp7NANJ","rysDP5nf3Z","tifHPKVTfV","Uaa54Peajs","k8jYdgA6NY","DIvbN7qnHd"],"dependent_operators":["AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","Tcnh7f0tEr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2938","layer":4},{"info":"number node, value=1093","layer":4},{"info":"compute binary expreesion, left_input=2938, right_input=1093, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=2188","layer":4},{"info":"number node, value=2051","layer":4},{"info":"compute binary expreesion, left_input=2188, right_input=2051, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":2},{"info":"number node, value=4304","layer":4},{"info":"number node, value=8537","layer":4},{"info":"compute binary expreesion, left_input=4304, right_input=8537, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":3},{"info":"number node, value=3573","layer":4},{"info":"compute unary expreesion, input=3573, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-7146","layer":3},{"info":"compute binary expreesion, left_input=-3, right_input=-7146, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=-6","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-6, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-6","layer":1},{"info":"number node, value=4512","layer":4},{"info":"number node, value=1361","layer":4},{"info":"compute binary expreesion, left_input=4512, right_input=1361, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=3492","layer":4},{"info":"compute unary expreesion, input=3492, 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 = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":2},{"info":"number node, value=1353","layer":4},{"info":"number node, value=3137","layer":4},{"info":"compute binary expreesion, left_input=1353, right_input=3137, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1353","layer":3},{"info":"number node, value=1086","layer":4},{"info":"compute unary expreesion, input=1086, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=1353, right_input=0, op_id = rysDP5nf3Z binary_op_definition= 'None', output=1353","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1353, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-6, 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":13,"result_base":13,"text":"((⪎⋱⫍1450+⇶⊼⪎⋱⫍661)≧⫂∧⪎⋱⫍CC4⨟⋌⩍⪎⋱⫍C1A↺(⪎⋱⫍1C61⩨⪎⋱⫍3B69⊉≛↸(⪎⋱⫍181B≋⫹)))≭(⪎⋱⫍2091⨟⋌⩍⪎⋱⫍809⇼⇔∾(∂⪎⋱⫍1788)-(⪎⋱⫍801%⪎⋱⫍1574)-(⪎⋱⫍657⊠≄⫣))=NaN","reverse_text":"NaN=((⪎⋱⫍1450+⇶⊼⪎⋱⫍661)≧⫂∧⪎⋱⫍CC4⨟⋌⩍⪎⋱⫍C1A↺(⪎⋱⫍1C61⩨⪎⋱⫍3B69⊉≛↸(⪎⋱⫍181B≋⫹)))≭(⪎⋱⫍2091⨟⋌⩍⪎⋱⫍809⇼⇔∾(∂⪎⋱⫍1788)-(⪎⋱⫍801%⪎⋱⫍1574)-(⪎⋱⫍657⊠≄⫣))","cot":[{"info":"⪎⋱⫍1450+⇶⊼⪎⋱⫍661=NaN","layer":3},{"info":"⪎⋱⫍CC4⨟⋌⩍⪎⋱⫍C1A=NaN","layer":3},{"info":"NaN≧⫂∧NaN=NaN","layer":2},{"info":"⪎⋱⫍1C61⩨⪎⋱⫍3B69=⪎⋱⫍-3","layer":3},{"info":"⪎⋱⫍181B≋⫹=⪎⋱⫍-3339","layer":3},{"info":"⪎⋱⫍-3⊉≛↸⪎⋱⫍-3339=⪎⋱⫍-6","layer":2},{"info":"NaN↺⪎⋱⫍-6=⪎⋱⫍-6","layer":1},{"info":"⪎⋱⫍2091⨟⋌⩍⪎⋱⫍809=NaN","layer":3},{"info":"∂⪎⋱⫍1788=NaN","layer":3},{"info":"NaN⇼⇔∾NaN=NaN","layer":2},{"info":"⪎⋱⫍801%⪎⋱⫍1574=⪎⋱⫍801","layer":3},{"info":"⪎⋱⫍657⊠≄⫣=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍801-⪎⋱⫍0=⪎⋱⫍801","layer":2},{"info":"NaN-⪎⋱⫍801=NaN","layer":1},{"info":"⪎⋱⫍-6≭NaN=NaN","layer":0}]}
{"id":597,"expression_no_base_symbol":"(⩦⩻⨪(∥⊫$4013$)⨽$3161$≎⊠⪸$1059$)⩠","expression":"(⩦⩻⨪(∥⊫⪎⋱⫍1A99)⨽⪎⋱⫍1592≎⊠⪸⪎⋱⫍636)⩠","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":5184,"operation_count":5,"complexity_ratio":1036.8,"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":4013,"base":13}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":3161,"base":13},"right_expr":{"type":"numeric_atoms","value":1059,"base":13}}}}},"used_operators":["sJAwomhLZr","2td37pGCOC","8HhzD0ZcuI","P8v4zCKN1o","bJkvcejdHO"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"⪎⋱⫍49355357","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4013","layer":4},{"info":"compute unary expreesion, input=4013, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=4881","layer":3},{"info":"number node, value=3161","layer":4},{"info":"number node, value=1059","layer":4},{"info":"compute binary expreesion, left_input=3161, right_input=1059, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=818226","layer":3},{"info":"compute binary expreesion, left_input=4881, right_input=818226, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-73925847","layer":2},{"info":"compute unary expreesion, input=-73925847, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=-73925847","layer":1},{"info":"compute unary expreesion, input=-73925847, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=295703597","layer":0}],"base":13,"result_base":13,"text":"(⩦⩻⨪(∥⊫⪎⋱⫍1A99)⨽⪎⋱⫍1592≎⊠⪸⪎⋱⫍636)⩠=⪎⋱⫍49355357","reverse_text":"⪎⋱⫍49355357=(⩦⩻⨪(∥⊫⪎⋱⫍1A99)⨽⪎⋱⫍1592≎⊠⪸⪎⋱⫍636)⩠","cot":[{"info":"∥⊫⪎⋱⫍1A99=⪎⋱⫍22B6","layer":3},{"info":"⪎⋱⫍1592≎⊠⪸⪎⋱⫍636=⪎⋱⫍228576","layer":3},{"info":"⪎⋱⫍22B6⨽⪎⋱⫍228576=⪎⋱⫍-12414708","layer":2},{"info":"⩦⩻⨪⪎⋱⫍-12414708=⪎⋱⫍-12414708","layer":1},{"info":"⪎⋱⫍-12414708⩠=⪎⋱⫍49355357","layer":0}]}
{"id":598,"expression_no_base_symbol":"($9131$≧⫂∧$2486$)∼($1644$∀⇚≩$1402$)*($4486$⊠≄⫣)⨐⩸⫘($2967$⊉≛↸$1137$)*(($1237$/$1432$⨵⪆(⨑⩽⪐$2827$))⊭↱($3156$⫸⊐$1025$)⫸⊐($2286$⪨≂$1221$))","expression":"(⪎⋱⫍4205≧⫂∧⪎⋱⫍1193)∼(⪎⋱⫍996∀⇚≩⪎⋱⫍83B)*(⪎⋱⫍2071⊠≄⫣)⨐⩸⫘(⪎⋱⫍1473⊉≛↸⪎⋱⫍696)*((⪎⋱⫍742/⪎⋱⫍862⨵⪆(⨑⩽⪐⪎⋱⫍1396))⊭↱(⪎⋱⫍158A⫸⊐⪎⋱⫍60B)⫸⊐(⪎⋱⫍106B⪨≂⪎⋱⫍72C))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":11623,"operation_count":15,"complexity_ratio":774.8666666666667,"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":9131,"base":13},"right_expr":{"type":"numeric_atoms","value":2486,"base":13}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1644,"base":13},"right_expr":{"type":"numeric_atoms","value":1402,"base":13}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":4486,"base":13}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2967,"base":13},"right_expr":{"type":"numeric_atoms","value":1137,"base":13}}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1237,"base":13},"right_expr":{"type":"numeric_atoms","value":1432,"base":13}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":2827,"base":13}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":3156,"base":13},"right_expr":{"type":"numeric_atoms","value":1025,"base":13}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2286,"base":13},"right_expr":{"type":"numeric_atoms","value":1221,"base":13}}}}},"used_operators":["9HNa5Wba9A","DyGG3AbaNP","Ph9nP6C5qx","LRNGc0VcxI","fu6greOZ01","DIvbN7qnHd","DZ8iAZOCBD","COABgblf1C","2DQ55sFlQl","XhwjNDsVaA","AF7qkfDlqP","mqXw5SEYmG","sdazOOVcIp"],"dependent_operators":["W4YGzv6Whe","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=9131","layer":4},{"info":"number node, value=2486","layer":4},{"info":"compute binary expreesion, left_input=9131, right_input=2486, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2013","layer":3},{"info":"number node, value=1644","layer":4},{"info":"number node, value=1402","layer":4},{"info":"compute binary expreesion, left_input=1644, right_input=1402, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=2013, 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=4486","layer":4},{"info":"compute unary expreesion, input=4486, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"number node, value=2967","layer":4},{"info":"number node, value=1137","layer":4},{"info":"compute binary expreesion, left_input=2967, right_input=1137, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=5934","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=5934, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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 = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=1237","layer":4},{"info":"number node, value=1432","layer":4},{"info":"compute binary expreesion, left_input=1237, right_input=1432, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=2827","layer":4},{"info":"compute unary expreesion, input=2827, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-2554","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-2554, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=3156","layer":4},{"info":"number node, value=1025","layer":4},{"info":"compute binary expreesion, left_input=3156, right_input=1025, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=3975","layer":3},{"info":"number node, value=2286","layer":4},{"info":"number node, value=1221","layer":4},{"info":"compute binary expreesion, left_input=2286, right_input=1221, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=2232","layer":3},{"info":"compute binary expreesion, left_input=3975, right_input=2232, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=8803","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=8803, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=17291","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=17291, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍4205≧⫂∧⪎⋱⫍1193)∼(⪎⋱⫍996∀⇚≩⪎⋱⫍83B)*(⪎⋱⫍2071⊠≄⫣)⨐⩸⫘(⪎⋱⫍1473⊉≛↸⪎⋱⫍696)*((⪎⋱⫍742/⪎⋱⫍862⨵⪆(⨑⩽⪐⪎⋱⫍1396))⊭↱(⪎⋱⫍158A⫸⊐⪎⋱⫍60B)⫸⊐(⪎⋱⫍106B⪨≂⪎⋱⫍72C))=NaN","reverse_text":"NaN=(⪎⋱⫍4205≧⫂∧⪎⋱⫍1193)∼(⪎⋱⫍996∀⇚≩⪎⋱⫍83B)*(⪎⋱⫍2071⊠≄⫣)⨐⩸⫘(⪎⋱⫍1473⊉≛↸⪎⋱⫍696)*((⪎⋱⫍742/⪎⋱⫍862⨵⪆(⨑⩽⪐⪎⋱⫍1396))⊭↱(⪎⋱⫍158A⫸⊐⪎⋱⫍60B)⫸⊐(⪎⋱⫍106B⪨≂⪎⋱⫍72C))","cot":[{"info":"⪎⋱⫍4205≧⫂∧⪎⋱⫍1193=⪎⋱⫍BBB","layer":3},{"info":"⪎⋱⫍996∀⇚≩⪎⋱⫍83B=NaN","layer":3},{"info":"⪎⋱⫍BBB∼NaN=NaN","layer":2},{"info":"⪎⋱⫍2071⊠≄⫣=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍1473⊉≛↸⪎⋱⫍696=⪎⋱⫍2916","layer":3},{"info":"⪎⋱⫍0⨐⩸⫘⪎⋱⫍2916=NaN","layer":2},{"info":"NaN*NaN=NaN","layer":1},{"info":"⪎⋱⫍742/⪎⋱⫍862=⪎⋱⫍0","layer":3},{"info":"⨑⩽⪐⪎⋱⫍1396=⪎⋱⫍-1216","layer":3},{"info":"⪎⋱⫍0⨵⪆⪎⋱⫍-1216=⪎⋱⫍C4","layer":2},{"info":"⪎⋱⫍158A⫸⊐⪎⋱⫍60B=⪎⋱⫍1A6A","layer":3},{"info":"⪎⋱⫍106B⪨≂⪎⋱⫍72C=⪎⋱⫍1029","layer":3},{"info":"⪎⋱⫍1A6A⫸⊐⪎⋱⫍1029=⪎⋱⫍4012","layer":2},{"info":"⪎⋱⫍C4⊭↱⪎⋱⫍4012=⪎⋱⫍7B41","layer":1},{"info":"NaN*⪎⋱⫍7B41=NaN","layer":0}]}
{"id":599,"expression_no_base_symbol":"↔(($1207$⊉≛↸$1467$%$2085$⋥≓≎$4002$)↙($2724$≭$1580$⊭∹↮))","expression":"↔((⪎⋱⫍71B⊉≛↸⪎⋱⫍88B%⪎⋱⫍C45⋥≓≎⪎⋱⫍1A8B)↙(⪎⋱⫍1317≭⪎⋱⫍947⊭∹↮))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":40,"operation_count":7,"complexity_ratio":5.714285714285714,"tree":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1207,"base":13},"right_expr":{"type":"numeric_atoms","value":1467,"base":13}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2085,"base":13},"right_expr":{"type":"numeric_atoms","value":4002,"base":13}}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2724,"base":13},"right_expr":{"type":"numeric_atoms","value":1580,"base":13}}}}},"used_operators":["ruOEQAzv1W","yyfyN0ffXY","k8jYdgA6NY","DZ8iAZOCBD","Qy55tPpLXF","xNBdhnnwKq","rxpJgHHUmx"],"dependent_operators":["XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","AHs5Up7iyr"],"result":"⪎⋱⫍-A4","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1207","layer":4},{"info":"number node, value=1467","layer":4},{"info":"compute binary expreesion, left_input=1207, right_input=1467, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2414","layer":3},{"info":"number node, value=2085","layer":4},{"info":"number node, value=4002","layer":4},{"info":"compute binary expreesion, left_input=2085, right_input=4002, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=5952","layer":3},{"info":"compute binary expreesion, left_input=2414, right_input=5952, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2414","layer":2},{"info":"number node, value=2724","layer":4},{"info":"number node, value=1580","layer":4},{"info":"compute binary expreesion, left_input=2724, right_input=1580, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=2414, 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 = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":0}],"base":13,"result_base":13,"text":"↔((⪎⋱⫍71B⊉≛↸⪎⋱⫍88B%⪎⋱⫍C45⋥≓≎⪎⋱⫍1A8B)↙(⪎⋱⫍1317≭⪎⋱⫍947⊭∹↮))=⪎⋱⫍-A4","reverse_text":"⪎⋱⫍-A4=↔((⪎⋱⫍71B⊉≛↸⪎⋱⫍88B%⪎⋱⫍C45⋥≓≎⪎⋱⫍1A8B)↙(⪎⋱⫍1317≭⪎⋱⫍947⊭∹↮))","cot":[{"info":"⪎⋱⫍71B⊉≛↸⪎⋱⫍88B=⪎⋱⫍1139","layer":3},{"info":"⪎⋱⫍C45⋥≓≎⪎⋱⫍1A8B=⪎⋱⫍292B","layer":3},{"info":"⪎⋱⫍1139%⪎⋱⫍292B=⪎⋱⫍1139","layer":2},{"info":"⪎⋱⫍1317≭⪎⋱⫍947=NaN","layer":3},{"info":"NaN⊭∹↮=NaN","layer":2},{"info":"⪎⋱⫍1139↙NaN=NaN","layer":1},{"info":"↔NaN=⪎⋱⫍-A4","layer":0}]}
{"id":600,"expression_no_base_symbol":"(↔($1008$⨐⩸⫘$1254$)≹⇙⪍($1222$⊭↱$9638$))⋥≓≎(($2695$↛⩡⫤)≎⊠⪸($1207$≎⊠⪸$6168$))⨓(($3331$⨳⩥⨓$2120$)⫌⩹⨱)","expression":"(↔(⪎⋱⫍5C7⨐⩸⫘⪎⋱⫍756)≹⇙⪍(⪎⋱⫍730⊭↱⪎⋱⫍4505))⋥≓≎((⪎⋱⫍12C4↛⩡⫤)≎⊠⪸(⪎⋱⫍71B≎⊠⪸⪎⋱⫍2A66))⨓((⪎⋱⫍1693⨳⩥⨓⪎⋱⫍C71)⫌⩹⨱)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":9831,"operation_count":11,"complexity_ratio":893.7272727272727,"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":1008,"base":13},"right_expr":{"type":"numeric_atoms","value":1254,"base":13}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1222,"base":13},"right_expr":{"type":"numeric_atoms","value":9638,"base":13}}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":2695,"base":13}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1207,"base":13},"right_expr":{"type":"numeric_atoms","value":6168,"base":13}}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":3331,"base":13},"right_expr":{"type":"numeric_atoms","value":2120,"base":13}}}}},"used_operators":["Qy55tPpLXF","ruOEQAzv1W","AHs5Up7iyr","fu6greOZ01","COABgblf1C","3ViojmjbAp","bJkvcejdHO","FU0Cs4j7VP","EBcxylXtPf","nCS4ZIUYfx"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","dWAJyo7jo9","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z"],"result":"⪎⋱⫍-B19","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1008","layer":4},{"info":"number node, value=1254","layer":4},{"info":"compute binary expreesion, left_input=1008, right_input=1254, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=1222","layer":4},{"info":"number node, value=9638","layer":4},{"info":"compute binary expreesion, left_input=1222, right_input=9638, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=16837","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=16837, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":1},{"info":"number node, value=2695","layer":4},{"info":"compute unary expreesion, input=2695, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-403034","layer":3},{"info":"number node, value=1207","layer":4},{"info":"number node, value=6168","layer":4},{"info":"compute binary expreesion, left_input=1207, right_input=6168, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=312140","layer":3},{"info":"compute binary expreesion, left_input=-403034, right_input=312140, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=104385806","layer":2},{"info":"number node, value=3331","layer":4},{"info":"number node, value=2120","layer":4},{"info":"compute binary expreesion, left_input=3331, right_input=2120, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-1211","layer":3},{"info":"compute unary expreesion, input=-1211, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=-1021","layer":2},{"info":"compute binary expreesion, left_input=104385806, right_input=-1021, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1024","layer":1},{"info":"compute binary expreesion, left_input=-134, right_input=-1024, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-1881","layer":0}],"base":13,"result_base":13,"text":"(↔(⪎⋱⫍5C7⨐⩸⫘⪎⋱⫍756)≹⇙⪍(⪎⋱⫍730⊭↱⪎⋱⫍4505))⋥≓≎((⪎⋱⫍12C4↛⩡⫤)≎⊠⪸(⪎⋱⫍71B≎⊠⪸⪎⋱⫍2A66))⨓((⪎⋱⫍1693⨳⩥⨓⪎⋱⫍C71)⫌⩹⨱)=⪎⋱⫍-B19","reverse_text":"⪎⋱⫍-B19=(↔(⪎⋱⫍5C7⨐⩸⫘⪎⋱⫍756)≹⇙⪍(⪎⋱⫍730⊭↱⪎⋱⫍4505))⋥≓≎((⪎⋱⫍12C4↛⩡⫤)≎⊠⪸(⪎⋱⫍71B≎⊠⪸⪎⋱⫍2A66))⨓((⪎⋱⫍1693⨳⩥⨓⪎⋱⫍C71)⫌⩹⨱)","cot":[{"info":"⪎⋱⫍5C7⨐⩸⫘⪎⋱⫍756=NaN","layer":3},{"info":"⪎⋱⫍730⊭↱⪎⋱⫍4505=⪎⋱⫍7882","layer":3},{"info":"NaN≹⇙⪍⪎⋱⫍7882=NaN","layer":2},{"info":"↔NaN=⪎⋱⫍-A4","layer":1},{"info":"⪎⋱⫍12C4↛⩡⫤=⪎⋱⫍-1115A8","layer":3},{"info":"⪎⋱⫍71B≎⊠⪸⪎⋱⫍2A66=⪎⋱⫍AC0CA","layer":3},{"info":"⪎⋱⫍-1115A8≎⊠⪸⪎⋱⫍AC0CA=⪎⋱⫍1881AB65","layer":2},{"info":"⪎⋱⫍1693⨳⩥⨓⪎⋱⫍C71=⪎⋱⫍-722","layer":3},{"info":"⪎⋱⫍-722⫌⩹⨱=⪎⋱⫍-607","layer":2},{"info":"⪎⋱⫍1881AB65⨓⪎⋱⫍-607=⪎⋱⫍-60A","layer":1},{"info":"⪎⋱⫍-A4⋥≓≎⪎⋱⫍-60A=⪎⋱⫍-B19","layer":0}]}
{"id":601,"expression_no_base_symbol":"(⩦⩻⨪(⩦⩻⨪$1334$⊴$4781$))⨐⩸⫘(⊄⩳↩($3566$↬$1227$↺($2350$-$2466$)))","expression":"(⩦⩻⨪(⩦⩻⨪⪎⋱⫍7B8⊴⪎⋱⫍223A))⨐⩸⫘(⊄⩳↩(⪎⋱⫍1814↬⪎⋱⫍735↺(⪎⋱⫍10BA-⪎⋱⫍1179)))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":127992,"operation_count":8,"complexity_ratio":15999.0,"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":1334,"base":13},"right_expr":{"type":"numeric_atoms","value":4781,"base":13}}}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":3566,"base":13},"right_expr":{"type":"numeric_atoms","value":1227,"base":13}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2350,"base":13},"right_expr":{"type":"numeric_atoms","value":2466,"base":13}}}}},"used_operators":["fu6greOZ01","2td37pGCOC","Nsiff2A1zJ","8w2t5hMYqp","7j4O788W3g","B5M0gjZbta","rysDP5nf3Z"],"dependent_operators":["3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC"],"result":"⪎⋱⫍-210","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1334","layer":4},{"info":"number node, value=4781","layer":4},{"info":"compute binary expreesion, left_input=1334, right_input=4781, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', 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 = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=nan","layer":1},{"info":"number node, value=3566","layer":4},{"info":"number node, value=1227","layer":4},{"info":"compute binary expreesion, left_input=3566, right_input=1227, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=2350","layer":4},{"info":"number node, value=2466","layer":4},{"info":"compute binary expreesion, left_input=2350, right_input=2466, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-116","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-116, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-116","layer":2},{"info":"compute unary expreesion, input=-116, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=348","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=348, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=-351","layer":0}],"base":13,"result_base":13,"text":"(⩦⩻⨪(⩦⩻⨪⪎⋱⫍7B8⊴⪎⋱⫍223A))⨐⩸⫘(⊄⩳↩(⪎⋱⫍1814↬⪎⋱⫍735↺(⪎⋱⫍10BA-⪎⋱⫍1179)))=⪎⋱⫍-210","reverse_text":"⪎⋱⫍-210=(⩦⩻⨪(⩦⩻⨪⪎⋱⫍7B8⊴⪎⋱⫍223A))⨐⩸⫘(⊄⩳↩(⪎⋱⫍1814↬⪎⋱⫍735↺(⪎⋱⫍10BA-⪎⋱⫍1179)))","cot":[{"info":"⪎⋱⫍7B8⊴⪎⋱⫍223A=NaN","layer":3},{"info":"⩦⩻⨪NaN=NaN","layer":2},{"info":"⩦⩻⨪NaN=NaN","layer":1},{"info":"⪎⋱⫍1814↬⪎⋱⫍735=NaN","layer":3},{"info":"⪎⋱⫍10BA-⪎⋱⫍1179=⪎⋱⫍-8C","layer":3},{"info":"NaN↺⪎⋱⫍-8C=⪎⋱⫍-8C","layer":2},{"info":"⊄⩳↩⪎⋱⫍-8C=⪎⋱⫍20A","layer":1},{"info":"NaN⨐⩸⫘⪎⋱⫍20A=⪎⋱⫍-210","layer":0}]}
{"id":602,"expression_no_base_symbol":"(($8907$⋷$4787$)⨓$1758$⪮%⊝$2980$)∼((⊥$5651$)⨪↰⇹($5024$⫥∨⫟$5100$))∑⇟⊟(($6163$⊪)+⇶⊼($4370$↺$5250$)↪⪝)","expression":"((⪎⋱⫍4092⋷⪎⋱⫍2243)⨓⪎⋱⫍A53⪮%⊝⪎⋱⫍1483)∼((⊥⪎⋱⫍2759)⨪↰⇹(⪎⋱⫍2396⫥∨⫟⪎⋱⫍2424))∑⇟⊟((⪎⋱⫍2A61⊪)+⇶⊼(⪎⋱⫍1CB2↺⪎⋱⫍250B)↪⪝)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4125,"operation_count":12,"complexity_ratio":343.75,"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":8907,"base":13},"right_expr":{"type":"numeric_atoms","value":4787,"base":13}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1758,"base":13},"right_expr":{"type":"numeric_atoms","value":2980,"base":13}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":5651,"base":13}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":5024,"base":13},"right_expr":{"type":"numeric_atoms","value":5100,"base":13}}}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":6163,"base":13}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":4370,"base":13},"right_expr":{"type":"numeric_atoms","value":5250,"base":13}}}}},"used_operators":["U7g4x0WXJJ","DyGG3AbaNP","3ViojmjbAp","23Mk6UjR3U","IWmyXbctLI","tmPS8pqC7x","Q3PJZHRvZv","KYD54nUTWz","l07mrZUIn9","TpPTUOHfaN","zVYPLywUTj","7j4O788W3g"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rJVOvQCfKK","fu6greOZ01","8HhzD0ZcuI","rGHVDoGpnC","9HNa5Wba9A","2DDjHMKMc0","AHs5Up7iyr","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=8907","layer":4},{"info":"number node, value=4787","layer":4},{"info":"compute binary expreesion, left_input=8907, right_input=4787, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=667","layer":3},{"info":"number node, value=1758","layer":4},{"info":"number node, value=2980","layer":4},{"info":"compute binary expreesion, left_input=1758, right_input=2980, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3832","layer":3},{"info":"compute binary expreesion, left_input=667, right_input=3832, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3835","layer":2},{"info":"number node, value=5651","layer":4},{"info":"compute unary expreesion, input=5651, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=5024","layer":4},{"info":"number node, value=5100","layer":4},{"info":"compute binary expreesion, left_input=5024, right_input=5100, 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 = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((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=-3835, 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=6163","layer":4},{"info":"compute unary expreesion, input=6163, 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=4370","layer":4},{"info":"number node, value=5250","layer":4},{"info":"compute binary expreesion, left_input=4370, right_input=5250, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=5250","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=5250, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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 = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍4092⋷⪎⋱⫍2243)⨓⪎⋱⫍A53⪮%⊝⪎⋱⫍1483)∼((⊥⪎⋱⫍2759)⨪↰⇹(⪎⋱⫍2396⫥∨⫟⪎⋱⫍2424))∑⇟⊟((⪎⋱⫍2A61⊪)+⇶⊼(⪎⋱⫍1CB2↺⪎⋱⫍250B)↪⪝)=NaN","reverse_text":"NaN=((⪎⋱⫍4092⋷⪎⋱⫍2243)⨓⪎⋱⫍A53⪮%⊝⪎⋱⫍1483)∼((⊥⪎⋱⫍2759)⨪↰⇹(⪎⋱⫍2396⫥∨⫟⪎⋱⫍2424))∑⇟⊟((⪎⋱⫍2A61⊪)+⇶⊼(⪎⋱⫍1CB2↺⪎⋱⫍250B)↪⪝)","cot":[{"info":"⪎⋱⫍4092⋷⪎⋱⫍2243=⪎⋱⫍3C4","layer":3},{"info":"⪎⋱⫍A53⪮%⊝⪎⋱⫍1483=⪎⋱⫍198A","layer":3},{"info":"⪎⋱⫍3C4⨓⪎⋱⫍198A=⪎⋱⫍-1990","layer":2},{"info":"⊥⪎⋱⫍2759=NaN","layer":3},{"info":"⪎⋱⫍2396⫥∨⫟⪎⋱⫍2424=NaN","layer":3},{"info":"NaN⨪↰⇹NaN=NaN","layer":2},{"info":"⪎⋱⫍-1990∼NaN=NaN","layer":1},{"info":"⪎⋱⫍2A61⊪=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍1CB2↺⪎⋱⫍250B=⪎⋱⫍250B","layer":3},{"info":"⪎⋱⫍0+⇶⊼⪎⋱⫍250B=NaN","layer":2},{"info":"NaN↪⪝=NaN","layer":1},{"info":"NaN∑⇟⊟NaN=NaN","layer":0}]}
{"id":603,"expression_no_base_symbol":"(↯⪼($1036$%$2051$))⨐⩸⫘(≤/$1435$⪮%⊝$2088$)⪒((+⊝⨔($1042$∑⇟⊟$2858$))⨵⪆(≤/$1855$↙$3470$))","expression":"(↯⪼(⪎⋱⫍619%⪎⋱⫍C1A))⨐⩸⫘(≤/⪎⋱⫍865⪮%⊝⪎⋱⫍C48)⪒((+⊝⨔(⪎⋱⫍622∑⇟⊟⪎⋱⫍13BB))⨵⪆(≤/⪎⋱⫍AC9↙⪎⋱⫍176C))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3542,"operation_count":11,"complexity_ratio":322.0,"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":1036,"base":13},"right_expr":{"type":"numeric_atoms","value":2051,"base":13}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1435,"base":13},"right_expr":{"type":"numeric_atoms","value":2088,"base":13}}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1042,"base":13},"right_expr":{"type":"numeric_atoms","value":2858,"base":13}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1855,"base":13},"right_expr":{"type":"numeric_atoms","value":3470,"base":13}}}}},"used_operators":["f6k1SAg4EE","fu6greOZ01","8jW3W4yZS5","k8jYdgA6NY","eLAdDNolq6","IWmyXbctLI","2DQ55sFlQl","DhbWaqg5eL","U7g4x0WXJJ","yyfyN0ffXY"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","rysDP5nf3Z","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","tmPS8pqC7x","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1036","layer":4},{"info":"number node, value=2051","layer":4},{"info":"compute binary expreesion, left_input=1036, right_input=2051, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1036","layer":3},{"info":"compute unary expreesion, input=1036, 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=1435","layer":4},{"info":"number node, value=2088","layer":4},{"info":"compute binary expreesion, left_input=1435, right_input=2088, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3186","layer":3},{"info":"compute unary expreesion, input=3186, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-2702","layer":2},{"info":"compute binary expreesion, left_input=-21, right_input=-2702, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=1042","layer":4},{"info":"number node, value=2858","layer":4},{"info":"compute binary expreesion, left_input=1042, right_input=2858, 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 = 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=1855","layer":4},{"info":"number node, value=3470","layer":4},{"info":"compute binary expreesion, left_input=1855, right_input=3470, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-10410","layer":3},{"info":"compute unary expreesion, input=-10410, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=10894","layer":2},{"info":"compute binary expreesion, left_input=1522, right_input=10894, 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 = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(↯⪼(⪎⋱⫍619%⪎⋱⫍C1A))⨐⩸⫘(≤/⪎⋱⫍865⪮%⊝⪎⋱⫍C48)⪒((+⊝⨔(⪎⋱⫍622∑⇟⊟⪎⋱⫍13BB))⨵⪆(≤/⪎⋱⫍AC9↙⪎⋱⫍176C))=NaN","reverse_text":"NaN=(↯⪼(⪎⋱⫍619%⪎⋱⫍C1A))⨐⩸⫘(≤/⪎⋱⫍865⪮%⊝⪎⋱⫍C48)⪒((+⊝⨔(⪎⋱⫍622∑⇟⊟⪎⋱⫍13BB))⨵⪆(≤/⪎⋱⫍AC9↙⪎⋱⫍176C))","cot":[{"info":"⪎⋱⫍619%⪎⋱⫍C1A=⪎⋱⫍619","layer":3},{"info":"↯⪼⪎⋱⫍619=⪎⋱⫍-18","layer":2},{"info":"⪎⋱⫍865⪮%⊝⪎⋱⫍C48=⪎⋱⫍15B1","layer":3},{"info":"≤/⪎⋱⫍15B1=⪎⋱⫍-12CB","layer":2},{"info":"⪎⋱⫍-18⨐⩸⫘⪎⋱⫍-12CB=NaN","layer":1},{"info":"⪎⋱⫍622∑⇟⊟⪎⋱⫍13BB=NaN","layer":3},{"info":"+⊝⨔NaN=⪎⋱⫍901","layer":2},{"info":"⪎⋱⫍AC9↙⪎⋱⫍176C=⪎⋱⫍-497A","layer":3},{"info":"≤/⪎⋱⫍-497A=⪎⋱⫍4C60","layer":2},{"info":"⪎⋱⫍901⨵⪆⪎⋱⫍4C60=⪎⋱⫍C4","layer":1},{"info":"NaN⪒⪎⋱⫍C4=NaN","layer":0}]}
{"id":604,"expression_no_base_symbol":"((⇁⨣⪵$7927$)∧)↬(($5256$%$2575$)↛⩡⫤)-(⨑⩽⪐(↥$3160$)∀⇚≩($1449$⪒$5091$))","expression":"((⇁⨣⪵⪎⋱⫍37BA)∧)↬((⪎⋱⫍2514%⪎⋱⫍1231)↛⩡⫤)-(⨑⩽⪐(↥⪎⋱⫍1591)∀⇚≩(⪎⋱⫍876⪒⪎⋱⫍2418))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":879,"operation_count":10,"complexity_ratio":87.9,"tree":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":7927,"base":13}}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":5256,"base":13},"right_expr":{"type":"numeric_atoms","value":2575,"base":13}}}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":3160,"base":13}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1449,"base":13},"right_expr":{"type":"numeric_atoms","value":5091,"base":13}}}}},"used_operators":["rysDP5nf3Z","B5M0gjZbta","z63VuFQld9","inkyxCbjAn","FU0Cs4j7VP","k8jYdgA6NY","AF7qkfDlqP","LRNGc0VcxI","A8NUZmVepG","f6k1SAg4EE"],"dependent_operators":["rGHVDoGpnC","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","B5M0gjZbta","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","X99M06cbEe","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=7927","layer":4},{"info":"compute unary expreesion, input=7927, op_id = inkyxCbjAn, 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":"number node, value=5256","layer":4},{"info":"number node, value=2575","layer":4},{"info":"compute binary expreesion, left_input=5256, right_input=2575, op_id = k8jYdgA6NY binary_op_definition= 'None', output=106","layer":3},{"info":"compute unary expreesion, input=106, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-12095","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-12095, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=3160","layer":4},{"info":"compute unary expreesion, input=3160, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=49","layer":3},{"info":"number node, value=1449","layer":4},{"info":"number node, value=5091","layer":4},{"info":"compute binary expreesion, left_input=1449, right_input=5091, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-6540","layer":3},{"info":"compute binary expreesion, left_input=49, right_input=-6540, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⇁⨣⪵⪎⋱⫍37BA)∧)↬((⪎⋱⫍2514%⪎⋱⫍1231)↛⩡⫤)-(⨑⩽⪐(↥⪎⋱⫍1591)∀⇚≩(⪎⋱⫍876⪒⪎⋱⫍2418))=NaN","reverse_text":"NaN=((⇁⨣⪵⪎⋱⫍37BA)∧)↬((⪎⋱⫍2514%⪎⋱⫍1231)↛⩡⫤)-(⨑⩽⪐(↥⪎⋱⫍1591)∀⇚≩(⪎⋱⫍876⪒⪎⋱⫍2418))","cot":[{"info":"⇁⨣⪵⪎⋱⫍37BA=NaN","layer":3},{"info":"NaN∧=NaN","layer":2},{"info":"⪎⋱⫍2514%⪎⋱⫍1231=⪎⋱⫍82","layer":3},{"info":"⪎⋱⫍82↛⩡⫤=⪎⋱⫍-5675","layer":2},{"info":"NaN↬⪎⋱⫍-5675=NaN","layer":1},{"info":"↥⪎⋱⫍1591=⪎⋱⫍3A","layer":3},{"info":"⪎⋱⫍876⪒⪎⋱⫍2418=⪎⋱⫍-2C91","layer":3},{"info":"⪎⋱⫍3A∀⇚≩⪎⋱⫍-2C91=NaN","layer":2},{"info":"⨑⩽⪐NaN=NaN","layer":1},{"info":"NaN-NaN=NaN","layer":0}]}
{"id":605,"expression_no_base_symbol":"($1667$↬$2768$)⪢($1790$⊭↱$1247$)⨎(⫓⪴($2383$⨽$3464$))⩨(($1632$⪨≂$1333$)⩨($1612$⪨≂$4114$))⋳⪒(⋗⩬⋾(↣≠⋷$2204$))","expression":"(⪎⋱⫍9B3↬⪎⋱⫍134C)⪢(⪎⋱⫍A79⊭↱⪎⋱⫍74C)⨎(⫓⪴(⪎⋱⫍1114⨽⪎⋱⫍1766))⩨((⪎⋱⫍987⪨≂⪎⋱⫍7B7)⩨(⪎⋱⫍970⪨≂⪎⋱⫍1B46))⋳⪒(⋗⩬⋾(↣≠⋷⪎⋱⫍1007))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":17048663,"operation_count":13,"complexity_ratio":1311435.6153846155,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1667,"base":13},"right_expr":{"type":"numeric_atoms","value":2768,"base":13}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1790,"base":13},"right_expr":{"type":"numeric_atoms","value":1247,"base":13}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2383,"base":13},"right_expr":{"type":"numeric_atoms","value":3464,"base":13}}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1632,"base":13},"right_expr":{"type":"numeric_atoms","value":1333,"base":13}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1612,"base":13},"right_expr":{"type":"numeric_atoms","value":4114,"base":13}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":2204,"base":13}}}}},"used_operators":["2DlMacCsIx","rJVOvQCfKK","dWAJyo7jo9","B5M0gjZbta","COABgblf1C","eLxqMNBOBk","8HhzD0ZcuI","12rbrZMWeM","sdazOOVcIp","DpFCA1CohY","Asc51vEJeQ"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","k8jYdgA6NY","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1667","layer":4},{"info":"number node, value=2768","layer":4},{"info":"compute binary expreesion, left_input=1667, right_input=2768, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=1790","layer":4},{"info":"number node, value=1247","layer":4},{"info":"compute binary expreesion, left_input=1790, right_input=1247, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-1081","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1081, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"number node, value=2383","layer":4},{"info":"number node, value=3464","layer":4},{"info":"compute binary expreesion, left_input=2383, right_input=3464, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-17045145","layer":3},{"info":"compute unary expreesion, input=-17045145, 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 = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=inf","layer":1},{"info":"number node, value=1632","layer":4},{"info":"number node, value=1333","layer":4},{"info":"compute binary expreesion, left_input=1632, right_input=1333, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=700","layer":3},{"info":"number node, value=1612","layer":4},{"info":"number node, value=4114","layer":4},{"info":"compute binary expreesion, left_input=1612, right_input=4114, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-4902","layer":3},{"info":"compute binary expreesion, left_input=700, right_input=-4902, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=24","layer":2},{"info":"number node, value=2204","layer":4},{"info":"compute unary expreesion, input=2204, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', 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=24, 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=inf, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍9B3↬⪎⋱⫍134C)⪢(⪎⋱⫍A79⊭↱⪎⋱⫍74C)⨎(⫓⪴(⪎⋱⫍1114⨽⪎⋱⫍1766))⩨((⪎⋱⫍987⪨≂⪎⋱⫍7B7)⩨(⪎⋱⫍970⪨≂⪎⋱⫍1B46))⋳⪒(⋗⩬⋾(↣≠⋷⪎⋱⫍1007))=NaN","reverse_text":"NaN=(⪎⋱⫍9B3↬⪎⋱⫍134C)⪢(⪎⋱⫍A79⊭↱⪎⋱⫍74C)⨎(⫓⪴(⪎⋱⫍1114⨽⪎⋱⫍1766))⩨((⪎⋱⫍987⪨≂⪎⋱⫍7B7)⩨(⪎⋱⫍970⪨≂⪎⋱⫍1B46))⋳⪒(⋗⩬⋾(↣≠⋷⪎⋱⫍1007))","cot":[{"info":"⪎⋱⫍9B3↬⪎⋱⫍134C=NaN","layer":3},{"info":"⪎⋱⫍A79⊭↱⪎⋱⫍74C=⪎⋱⫍-652","layer":3},{"info":"NaN⪢⪎⋱⫍-652=NaN","layer":2},{"info":"⪎⋱⫍1114⨽⪎⋱⫍1766=⪎⋱⫍-36BA4B0","layer":3},{"info":"⫓⪴⪎⋱⫍-36BA4B0=Inf","layer":2},{"info":"NaN⨎Inf=Inf","layer":1},{"info":"⪎⋱⫍987⪨≂⪎⋱⫍7B7=⪎⋱⫍41B","layer":3},{"info":"⪎⋱⫍970⪨≂⪎⋱⫍1B46=⪎⋱⫍-2301","layer":3},{"info":"⪎⋱⫍41B⩨⪎⋱⫍-2301=⪎⋱⫍1B","layer":2},{"info":"↣≠⋷⪎⋱⫍1007=NaN","layer":3},{"info":"⋗⩬⋾NaN=NaN","layer":2},{"info":"⪎⋱⫍1B⋳⪒NaN=NaN","layer":1},{"info":"Inf⩨NaN=NaN","layer":0}]}
{"id":606,"expression_no_base_symbol":"($2103$⋥≓≎$2761$)⨟⋌⩍($1017$≋⫹)⨳⩥⨓((↥$1956$)+(⇁⨣⪵$2765$))⫡⨏($2024$+$6489$)⊴$7106$≹⇙⪍$1041$⋓$1066$∀⇚≩$1604$∑⇟⊟($7549$+⇶⊼$2849$)","expression":"(⪎⋱⫍C5A⋥≓≎⪎⋱⫍1345)⨟⋌⩍(⪎⋱⫍603≋⫹)⨳⩥⨓((↥⪎⋱⫍B76)+(⇁⨣⪵⪎⋱⫍1349))⫡⨏(⪎⋱⫍BC9+⪎⋱⫍2C52)⊴⪎⋱⫍3308≹⇙⪍⪎⋱⫍621⋓⪎⋱⫍640∀⇚≩⪎⋱⫍965∑⇟⊟(⪎⋱⫍3589+⇶⊼⪎⋱⫍13B2)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":7544,"operation_count":15,"complexity_ratio":502.93333333333334,"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":2103,"base":13},"right_expr":{"type":"numeric_atoms","value":2761,"base":13}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":1017,"base":13}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":1956,"base":13}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":2765,"base":13}}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2024,"base":13},"right_expr":{"type":"numeric_atoms","value":6489,"base":13}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":7106,"base":13},"right_expr":{"type":"numeric_atoms","value":1041,"base":13}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1066,"base":13},"right_expr":{"type":"numeric_atoms","value":1604,"base":13}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":7549,"base":13},"right_expr":{"type":"numeric_atoms","value":2849,"base":13}}}}},"used_operators":["QMFrweE19q","nCS4ZIUYfx","rGHVDoGpnC","Qy55tPpLXF","N41Kp7NANJ","W4YGzv6Whe","A8NUZmVepG","inkyxCbjAn","T2fj7uvVaJ","Nsiff2A1zJ","AHs5Up7iyr","U7g4x0WXJJ","LRNGc0VcxI","TpPTUOHfaN"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","Tcnh7f0tEr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","B5M0gjZbta","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","dWAJyo7jo9","14qkJME0vr","dWAJyo7jo9","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","X99M06cbEe","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2103","layer":4},{"info":"number node, value=2761","layer":4},{"info":"compute binary expreesion, left_input=2103, right_input=2761, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=3452","layer":3},{"info":"number node, value=1017","layer":4},{"info":"compute unary expreesion, input=1017, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-2034","layer":3},{"info":"compute binary expreesion, left_input=3452, right_input=-2034, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=1956","layer":4},{"info":"compute unary expreesion, input=1956, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=18","layer":3},{"info":"number node, value=2765","layer":4},{"info":"compute unary expreesion, input=2765, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=18, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":1},{"info":"number node, value=2024","layer":4},{"info":"number node, value=6489","layer":4},{"info":"compute binary expreesion, left_input=2024, right_input=6489, op_id = W4YGzv6Whe binary_op_definition= 'None', output=8513","layer":3},{"info":"number node, value=7106","layer":4},{"info":"number node, value=1041","layer":4},{"info":"compute binary expreesion, left_input=7106, right_input=1041, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=8513, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=1066","layer":4},{"info":"number node, value=1604","layer":4},{"info":"compute binary expreesion, left_input=1066, right_input=1604, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=7549","layer":4},{"info":"number node, value=2849","layer":4},{"info":"compute binary expreesion, left_input=7549, right_input=2849, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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 = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = T2fj7uvVaJ 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 = 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":13,"result_base":13,"text":"(⪎⋱⫍C5A⋥≓≎⪎⋱⫍1345)⨟⋌⩍(⪎⋱⫍603≋⫹)⨳⩥⨓((↥⪎⋱⫍B76)+(⇁⨣⪵⪎⋱⫍1349))⫡⨏(⪎⋱⫍BC9+⪎⋱⫍2C52)⊴⪎⋱⫍3308≹⇙⪍⪎⋱⫍621⋓⪎⋱⫍640∀⇚≩⪎⋱⫍965∑⇟⊟(⪎⋱⫍3589+⇶⊼⪎⋱⫍13B2)=NaN","reverse_text":"NaN=(⪎⋱⫍C5A⋥≓≎⪎⋱⫍1345)⨟⋌⩍(⪎⋱⫍603≋⫹)⨳⩥⨓((↥⪎⋱⫍B76)+(⇁⨣⪵⪎⋱⫍1349))⫡⨏(⪎⋱⫍BC9+⪎⋱⫍2C52)⊴⪎⋱⫍3308≹⇙⪍⪎⋱⫍621⋓⪎⋱⫍640∀⇚≩⪎⋱⫍965∑⇟⊟(⪎⋱⫍3589+⇶⊼⪎⋱⫍13B2)","cot":[{"info":"⪎⋱⫍C5A⋥≓≎⪎⋱⫍1345=⪎⋱⫍1757","layer":3},{"info":"⪎⋱⫍603≋⫹=⪎⋱⫍-C06","layer":3},{"info":"⪎⋱⫍1757⨟⋌⩍⪎⋱⫍-C06=NaN","layer":2},{"info":"↥⪎⋱⫍B76=⪎⋱⫍15","layer":3},{"info":"⇁⨣⪵⪎⋱⫍1349=NaN","layer":3},{"info":"⪎⋱⫍15+NaN=NaN","layer":2},{"info":"NaN⨳⩥⨓NaN=NaN","layer":1},{"info":"⪎⋱⫍BC9+⪎⋱⫍2C52=⪎⋱⫍3B4B","layer":3},{"info":"⪎⋱⫍3308≹⇙⪍⪎⋱⫍621=NaN","layer":3},{"info":"⪎⋱⫍3B4B⊴NaN=NaN","layer":2},{"info":"⪎⋱⫍640∀⇚≩⪎⋱⫍965=NaN","layer":3},{"info":"⪎⋱⫍3589+⇶⊼⪎⋱⫍13B2=NaN","layer":3},{"info":"NaN∑⇟⊟NaN=NaN","layer":2},{"info":"NaN⋓NaN=NaN","layer":1},{"info":"NaN⫡⨏NaN=NaN","layer":0}]}
{"id":607,"expression_no_base_symbol":"(($2217$⪐)⨪↰⇹$1631$∀⇚≩$2355$⇼⇔∾$3599$⪮%⊝$2535$⨪↰⇹$3038$⪮%⊝$1177$)⨎((($8154$⋫)%$1145$⨸⪁$7227$)⩨($1152$/$2541$)≹⇙⪍($4859$⫡⨏$1141$))","expression":"((⪎⋱⫍1017⪐)⨪↰⇹⪎⋱⫍986∀⇚≩⪎⋱⫍10C2⇼⇔∾⪎⋱⫍183B⪮%⊝⪎⋱⫍1200⨪↰⇹⪎⋱⫍14C9⪮%⊝⪎⋱⫍6C7)⨎(((⪎⋱⫍3933⋫)%⪎⋱⫍6A1⨸⪁⪎⋱⫍339C)⩨(⪎⋱⫍6A8/⪎⋱⫍1206)≹⇙⪍(⪎⋱⫍229A⫡⨏⪎⋱⫍69A))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":31559,"operation_count":15,"complexity_ratio":2103.9333333333334,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":2217,"base":13}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1631,"base":13},"right_expr":{"type":"numeric_atoms","value":2355,"base":13}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":3599,"base":13},"right_expr":{"type":"numeric_atoms","value":2535,"base":13}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":3038,"base":13},"right_expr":{"type":"numeric_atoms","value":1177,"base":13}}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":8154,"base":13}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1145,"base":13},"right_expr":{"type":"numeric_atoms","value":7227,"base":13}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1152,"base":13},"right_expr":{"type":"numeric_atoms","value":2541,"base":13}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":4859,"base":13},"right_expr":{"type":"numeric_atoms","value":1141,"base":13}}}}},"used_operators":["rJVOvQCfKK","tifHPKVTfV","tmPS8pqC7x","eH2TOUuTDT","LRNGc0VcxI","IWmyXbctLI","2DlMacCsIx","k8jYdgA6NY","JL8yIekQnl","g55IO6H4Gj","AHs5Up7iyr","XhwjNDsVaA","QMFrweE19q"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","tmPS8pqC7x","W4YGzv6Whe","dWAJyo7jo9","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2217","layer":4},{"info":"compute unary expreesion, input=2217, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=4434","layer":3},{"info":"number node, value=1631","layer":4},{"info":"number node, value=2355","layer":4},{"info":"compute binary expreesion, left_input=1631, right_input=2355, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=4434, 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=4434","layer":2},{"info":"number node, value=3599","layer":4},{"info":"number node, value=2535","layer":4},{"info":"compute binary expreesion, left_input=3599, right_input=2535, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=7514","layer":3},{"info":"number node, value=3038","layer":4},{"info":"number node, value=1177","layer":4},{"info":"compute binary expreesion, left_input=3038, right_input=1177, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=6392","layer":3},{"info":"compute binary expreesion, left_input=7514, right_input=6392, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=7514","layer":2},{"info":"compute binary expreesion, left_input=4434, right_input=7514, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=3080","layer":1},{"info":"number node, value=8154","layer":4},{"info":"compute unary expreesion, input=8154, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=8154","layer":3},{"info":"number node, value=1145","layer":4},{"info":"number node, value=7227","layer":4},{"info":"compute binary expreesion, left_input=1145, right_input=7227, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=16744","layer":3},{"info":"compute binary expreesion, left_input=8154, right_input=16744, op_id = k8jYdgA6NY binary_op_definition= 'None', output=8154","layer":2},{"info":"number node, value=1152","layer":4},{"info":"number node, value=2541","layer":4},{"info":"compute binary expreesion, left_input=1152, right_input=2541, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=4859","layer":4},{"info":"number node, value=1141","layer":4},{"info":"compute binary expreesion, left_input=4859, right_input=1141, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=27360","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=27360, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=8154, 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=3080, 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":13,"result_base":13,"text":"((⪎⋱⫍1017⪐)⨪↰⇹⪎⋱⫍986∀⇚≩⪎⋱⫍10C2⇼⇔∾⪎⋱⫍183B⪮%⊝⪎⋱⫍1200⨪↰⇹⪎⋱⫍14C9⪮%⊝⪎⋱⫍6C7)⨎(((⪎⋱⫍3933⋫)%⪎⋱⫍6A1⨸⪁⪎⋱⫍339C)⩨(⪎⋱⫍6A8/⪎⋱⫍1206)≹⇙⪍(⪎⋱⫍229A⫡⨏⪎⋱⫍69A))=NaN","reverse_text":"NaN=((⪎⋱⫍1017⪐)⨪↰⇹⪎⋱⫍986∀⇚≩⪎⋱⫍10C2⇼⇔∾⪎⋱⫍183B⪮%⊝⪎⋱⫍1200⨪↰⇹⪎⋱⫍14C9⪮%⊝⪎⋱⫍6C7)⨎(((⪎⋱⫍3933⋫)%⪎⋱⫍6A1⨸⪁⪎⋱⫍339C)⩨(⪎⋱⫍6A8/⪎⋱⫍1206)≹⇙⪍(⪎⋱⫍229A⫡⨏⪎⋱⫍69A))","cot":[{"info":"⪎⋱⫍1017⪐=⪎⋱⫍2031","layer":3},{"info":"⪎⋱⫍986∀⇚≩⪎⋱⫍10C2=NaN","layer":3},{"info":"⪎⋱⫍2031⨪↰⇹NaN=⪎⋱⫍2031","layer":2},{"info":"⪎⋱⫍183B⪮%⊝⪎⋱⫍1200=⪎⋱⫍3560","layer":3},{"info":"⪎⋱⫍14C9⪮%⊝⪎⋱⫍6C7=⪎⋱⫍2BA9","layer":3},{"info":"⪎⋱⫍3560⨪↰⇹⪎⋱⫍2BA9=⪎⋱⫍3560","layer":2},{"info":"⪎⋱⫍2031⇼⇔∾⪎⋱⫍3560=⪎⋱⫍152C","layer":1},{"info":"⪎⋱⫍3933⋫=⪎⋱⫍3933","layer":3},{"info":"⪎⋱⫍6A1⨸⪁⪎⋱⫍339C=⪎⋱⫍7810","layer":3},{"info":"⪎⋱⫍3933%⪎⋱⫍7810=⪎⋱⫍3933","layer":2},{"info":"⪎⋱⫍6A8/⪎⋱⫍1206=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍229A⫡⨏⪎⋱⫍69A=⪎⋱⫍C5B8","layer":3},{"info":"⪎⋱⫍0≹⇙⪍⪎⋱⫍C5B8=NaN","layer":2},{"info":"⪎⋱⫍3933⩨NaN=NaN","layer":1},{"info":"⪎⋱⫍152C⨎NaN=NaN","layer":0}]}
{"id":608,"expression_no_base_symbol":"($3596$∼$3112$≧⫂∧($1630$⨸⪁$1418$)⪒(+⊝⨔$1530$)⪘⫢(≤/$1636$))⋳⪒(≉$5265$↬$8932$)⨪↰⇹($1513$⪛$3740$)⨟⋌⩍($5630$⪨≂$2135$)","expression":"(⪎⋱⫍1838∼⪎⋱⫍1555≧⫂∧(⪎⋱⫍985⨸⪁⪎⋱⫍851)⪒(+⊝⨔⪎⋱⫍909)⪘⫢(≤/⪎⋱⫍98B))⋳⪒(≉⪎⋱⫍2520↬⪎⋱⫍40B1)⨪↰⇹(⪎⋱⫍8C5⪛⪎⋱⫍1919)⨟⋌⩍(⪎⋱⫍2741⪨≂⪎⋱⫍C83)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":149,"operation_count":14,"complexity_ratio":10.642857142857142,"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":3596,"base":13},"right_expr":{"type":"numeric_atoms","value":3112,"base":13}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1630,"base":13},"right_expr":{"type":"numeric_atoms","value":1418,"base":13}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":1530,"base":13}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1636,"base":13}}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":5265,"base":13},"right_expr":{"type":"numeric_atoms","value":8932,"base":13}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1513,"base":13},"right_expr":{"type":"numeric_atoms","value":3740,"base":13}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":5630,"base":13},"right_expr":{"type":"numeric_atoms","value":2135,"base":13}}}}},"used_operators":["12rbrZMWeM","f6k1SAg4EE","Ph9nP6C5qx","DyGG3AbaNP","g55IO6H4Gj","oacrs7FA3X","DhbWaqg5eL","eLAdDNolq6","tmPS8pqC7x","e1ybzncUwg","B5M0gjZbta","rGHVDoGpnC","uFcxV4UQCh","sdazOOVcIp"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","Tcnh7f0tEr","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3596","layer":4},{"info":"number node, value=3112","layer":4},{"info":"compute binary expreesion, left_input=3596, right_input=3112, 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=1630","layer":4},{"info":"number node, value=1418","layer":4},{"info":"compute binary expreesion, left_input=1630, right_input=1418, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=6096","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=6096, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=5623","layer":2},{"info":"number node, value=1530","layer":4},{"info":"compute unary expreesion, input=1530, 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=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=1522, right_input=-1152, 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=5623, right_input=0, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5623","layer":1},{"info":"number node, value=5265","layer":4},{"info":"number node, value=8932","layer":4},{"info":"compute binary expreesion, left_input=5265, right_input=8932, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=nan","layer":2},{"info":"number node, value=1513","layer":4},{"info":"number node, value=3740","layer":4},{"info":"compute binary expreesion, left_input=1513, right_input=3740, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1513","layer":3},{"info":"number node, value=5630","layer":4},{"info":"number node, value=2135","layer":4},{"info":"compute binary expreesion, left_input=5630, right_input=2135, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=7092","layer":3},{"info":"compute binary expreesion, left_input=1513, right_input=7092, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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 = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((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=-5623, right_input=nan, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍1838∼⪎⋱⫍1555≧⫂∧(⪎⋱⫍985⨸⪁⪎⋱⫍851)⪒(+⊝⨔⪎⋱⫍909)⪘⫢(≤/⪎⋱⫍98B))⋳⪒(≉⪎⋱⫍2520↬⪎⋱⫍40B1)⨪↰⇹(⪎⋱⫍8C5⪛⪎⋱⫍1919)⨟⋌⩍(⪎⋱⫍2741⪨≂⪎⋱⫍C83)=NaN","reverse_text":"NaN=(⪎⋱⫍1838∼⪎⋱⫍1555≧⫂∧(⪎⋱⫍985⨸⪁⪎⋱⫍851)⪒(+⊝⨔⪎⋱⫍909)⪘⫢(≤/⪎⋱⫍98B))⋳⪒(≉⪎⋱⫍2520↬⪎⋱⫍40B1)⨪↰⇹(⪎⋱⫍8C5⪛⪎⋱⫍1919)⨟⋌⩍(⪎⋱⫍2741⪨≂⪎⋱⫍C83)","cot":[{"info":"⪎⋱⫍1838∼⪎⋱⫍1555=NaN","layer":3},{"info":"⪎⋱⫍985⨸⪁⪎⋱⫍851=⪎⋱⫍2A0C","layer":3},{"info":"NaN≧⫂∧⪎⋱⫍2A0C=⪎⋱⫍2737","layer":2},{"info":"+⊝⨔⪎⋱⫍909=⪎⋱⫍901","layer":3},{"info":"≤/⪎⋱⫍98B=⪎⋱⫍-6A8","layer":3},{"info":"⪎⋱⫍901⪘⫢⪎⋱⫍-6A8=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍2737⪒⪎⋱⫍0=⪎⋱⫍-2737","layer":1},{"info":"⪎⋱⫍2520↬⪎⋱⫍40B1=NaN","layer":3},{"info":"≉NaN=NaN","layer":2},{"info":"⪎⋱⫍8C5⪛⪎⋱⫍1919=⪎⋱⫍8C5","layer":3},{"info":"⪎⋱⫍2741⪨≂⪎⋱⫍C83=⪎⋱⫍32C7","layer":3},{"info":"⪎⋱⫍8C5⨟⋌⩍⪎⋱⫍32C7=NaN","layer":2},{"info":"NaN⨪↰⇹NaN=NaN","layer":1},{"info":"⪎⋱⫍-2737⋳⪒NaN=NaN","layer":0}]}
{"id":609,"expression_no_base_symbol":"(($2266$⨟⋌⩍$6779$⨽($6708$⨳⩥⨓$8520$))⇋≉)⨪↰⇹((($2916$⫡⨏$2225$)⫥∨⫟(⪲⇎$1201$))≫≃)","expression":"((⪎⋱⫍1054⨟⋌⩍⪎⋱⫍3116⨽(⪎⋱⫍3090⨳⩥⨓⪎⋱⫍3B55))⇋≉)⨪↰⇹(((⪎⋱⫍1434⫡⨏⪎⋱⫍1022)⫥∨⫟(⪲⇎⪎⋱⫍715))≫≃)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":188,"operation_count":9,"complexity_ratio":20.88888888888889,"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":2266,"base":13},"right_expr":{"type":"numeric_atoms","value":6779,"base":13}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":6708,"base":13},"right_expr":{"type":"numeric_atoms","value":8520,"base":13}}}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2916,"base":13},"right_expr":{"type":"numeric_atoms","value":2225,"base":13}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1201,"base":13}}}}},"used_operators":["tmPS8pqC7x","XIabStNQrY","8HhzD0ZcuI","rGHVDoGpnC","nCS4ZIUYfx","X99M06cbEe","KYD54nUTWz","QMFrweE19q","XPYlsWDdGa"],"dependent_operators":["rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","Tcnh7f0tEr","W4YGzv6Whe","rysDP5nf3Z","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2266","layer":4},{"info":"number node, value=6779","layer":4},{"info":"compute binary expreesion, left_input=2266, right_input=6779, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=6708","layer":4},{"info":"number node, value=8520","layer":4},{"info":"compute binary expreesion, left_input=6708, right_input=8520, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=1812","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1812, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(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=2916","layer":4},{"info":"number node, value=2225","layer":4},{"info":"compute binary expreesion, left_input=2916, right_input=2225, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=19813","layer":3},{"info":"number node, value=1201","layer":4},{"info":"compute unary expreesion, input=1201, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=2402","layer":3},{"info":"compute binary expreesion, left_input=19813, right_input=2402, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((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":13,"result_base":13,"text":"((⪎⋱⫍1054⨟⋌⩍⪎⋱⫍3116⨽(⪎⋱⫍3090⨳⩥⨓⪎⋱⫍3B55))⇋≉)⨪↰⇹(((⪎⋱⫍1434⫡⨏⪎⋱⫍1022)⫥∨⫟(⪲⇎⪎⋱⫍715))≫≃)=NaN","reverse_text":"NaN=((⪎⋱⫍1054⨟⋌⩍⪎⋱⫍3116⨽(⪎⋱⫍3090⨳⩥⨓⪎⋱⫍3B55))⇋≉)⨪↰⇹(((⪎⋱⫍1434⫡⨏⪎⋱⫍1022)⫥∨⫟(⪲⇎⪎⋱⫍715))≫≃)","cot":[{"info":"⪎⋱⫍1054⨟⋌⩍⪎⋱⫍3116=NaN","layer":3},{"info":"⪎⋱⫍3090⨳⩥⨓⪎⋱⫍3B55=⪎⋱⫍A95","layer":3},{"info":"NaN⨽⪎⋱⫍A95=NaN","layer":2},{"info":"NaN⇋≉=NaN","layer":1},{"info":"⪎⋱⫍1434⫡⨏⪎⋱⫍1022=⪎⋱⫍9031","layer":3},{"info":"⪲⇎⪎⋱⫍715=⪎⋱⫍112A","layer":3},{"info":"⪎⋱⫍9031⫥∨⫟⪎⋱⫍112A=NaN","layer":2},{"info":"NaN≫≃=NaN","layer":1},{"info":"NaN⨪↰⇹NaN=NaN","layer":0}]}
{"id":610,"expression_no_base_symbol":"((⫛⫱⨽($1429$≹⇙⪍$1406$))*(⨵≀≌$1595$)+⇶⊼($4671$+⇶⊼$5789$))⩷∴(($2067$-$5784$)≎⊠⪸($3557$⋥≓≎$1870$)+⇶⊼(∂($2370$⨎$1794$)))","expression":"((⫛⫱⨽(⪎⋱⫍85C≹⇙⪍⪎⋱⫍842))*(⨵≀≌⪎⋱⫍959)+⇶⊼(⪎⋱⫍2184+⇶⊼⪎⋱⫍2834))⩷∴((⪎⋱⫍C30-⪎⋱⫍282C)≎⊠⪸(⪎⋱⫍1808⋥≓≎⪎⋱⫍B0B)+⇶⊼(∂(⪎⋱⫍1104⨎⪎⋱⫍A80)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1204,"operation_count":13,"complexity_ratio":92.61538461538461,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1429,"base":13},"right_expr":{"type":"numeric_atoms","value":1406,"base":13}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1595,"base":13}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":4671,"base":13},"right_expr":{"type":"numeric_atoms","value":5789,"base":13}}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2067,"base":13},"right_expr":{"type":"numeric_atoms","value":5784,"base":13}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":3557,"base":13},"right_expr":{"type":"numeric_atoms","value":1870,"base":13}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2370,"base":13},"right_expr":{"type":"numeric_atoms","value":1794,"base":13}}}}},"used_operators":["9FxExcQeMw","9HNa5Wba9A","DlLNRPXxWL","AHs5Up7iyr","TpPTUOHfaN","srAu1WTS94","bJkvcejdHO","rysDP5nf3Z","Qy55tPpLXF","Uaa54Peajs","rJVOvQCfKK"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","rGHVDoGpnC","dWAJyo7jo9","AHs5Up7iyr","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1429","layer":4},{"info":"number node, value=1406","layer":4},{"info":"compute binary expreesion, left_input=1429, right_input=1406, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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 = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=nan","layer":2},{"info":"number node, value=1595","layer":4},{"info":"compute unary expreesion, input=1595, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-4785","layer":3},{"info":"number node, value=4671","layer":4},{"info":"number node, value=5789","layer":4},{"info":"compute binary expreesion, left_input=4671, right_input=5789, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=-4785, 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 = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=2067","layer":4},{"info":"number node, value=5784","layer":4},{"info":"compute binary expreesion, left_input=2067, right_input=5784, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-3717","layer":3},{"info":"number node, value=3557","layer":4},{"info":"number node, value=1870","layer":4},{"info":"compute binary expreesion, left_input=3557, right_input=1870, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=216","layer":3},{"info":"compute binary expreesion, left_input=-3717, right_input=216, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=962703","layer":2},{"info":"number node, value=2370","layer":4},{"info":"number node, value=1794","layer":4},{"info":"compute binary expreesion, left_input=2370, right_input=1794, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1794","layer":3},{"info":"compute unary expreesion, input=1794, 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=962703, 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 = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⫛⫱⨽(⪎⋱⫍85C≹⇙⪍⪎⋱⫍842))*(⨵≀≌⪎⋱⫍959)+⇶⊼(⪎⋱⫍2184+⇶⊼⪎⋱⫍2834))⩷∴((⪎⋱⫍C30-⪎⋱⫍282C)≎⊠⪸(⪎⋱⫍1808⋥≓≎⪎⋱⫍B0B)+⇶⊼(∂(⪎⋱⫍1104⨎⪎⋱⫍A80)))=NaN","reverse_text":"NaN=((⫛⫱⨽(⪎⋱⫍85C≹⇙⪍⪎⋱⫍842))*(⨵≀≌⪎⋱⫍959)+⇶⊼(⪎⋱⫍2184+⇶⊼⪎⋱⫍2834))⩷∴((⪎⋱⫍C30-⪎⋱⫍282C)≎⊠⪸(⪎⋱⫍1808⋥≓≎⪎⋱⫍B0B)+⇶⊼(∂(⪎⋱⫍1104⨎⪎⋱⫍A80)))","cot":[{"info":"⪎⋱⫍85C≹⇙⪍⪎⋱⫍842=NaN","layer":3},{"info":"⫛⫱⨽NaN=NaN","layer":2},{"info":"⨵≀≌⪎⋱⫍959=⪎⋱⫍-2241","layer":3},{"info":"⪎⋱⫍2184+⇶⊼⪎⋱⫍2834=NaN","layer":3},{"info":"⪎⋱⫍-2241+⇶⊼NaN=NaN","layer":2},{"info":"NaN*NaN=NaN","layer":1},{"info":"⪎⋱⫍C30-⪎⋱⫍282C=⪎⋱⫍-18CC","layer":3},{"info":"⪎⋱⫍1808⋥≓≎⪎⋱⫍B0B=⪎⋱⫍138","layer":3},{"info":"⪎⋱⫍-18CC≎⊠⪸⪎⋱⫍138=⪎⋱⫍279261","layer":2},{"info":"⪎⋱⫍1104⨎⪎⋱⫍A80=⪎⋱⫍A80","layer":3},{"info":"∂⪎⋱⫍A80=NaN","layer":2},{"info":"⪎⋱⫍279261+⇶⊼NaN=NaN","layer":1},{"info":"NaN⩷∴NaN=NaN","layer":0}]}
{"id":611,"expression_no_base_symbol":"(($7005$⩨$1215$)⪮%⊝($2371$∸)⋫)⊴((+⊝⨔($7854$↙$1379$))⋝⋈⪟(↽≂(⊄⩳↩$2135$)))","expression":"((⪎⋱⫍325B⩨⪎⋱⫍726)⪮%⊝(⪎⋱⫍1105∸)⋫)⊴((+⊝⨔(⪎⋱⫍3762↙⪎⋱⫍821))⋝⋈⪟(↽≂(⊄⩳↩⪎⋱⫍C83)))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3445,"operation_count":10,"complexity_ratio":344.5,"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":7005,"base":13},"right_expr":{"type":"numeric_atoms","value":1215,"base":13}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":2371,"base":13}}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":7854,"base":13},"right_expr":{"type":"numeric_atoms","value":1379,"base":13}}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":2135,"base":13}}}}},"used_operators":["Nsiff2A1zJ","JL8yIekQnl","IWmyXbctLI","2DlMacCsIx","o20kRiQErp","2DDjHMKMc0","DhbWaqg5eL","yyfyN0ffXY","u6S6b8DprG","8w2t5hMYqp"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","tmPS8pqC7x","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","tmPS8pqC7x","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=7005","layer":4},{"info":"number node, value=1215","layer":4},{"info":"compute binary expreesion, left_input=7005, right_input=1215, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=2371","layer":4},{"info":"compute unary expreesion, input=2371, 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 = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=316","layer":2},{"info":"compute unary expreesion, input=316, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=316","layer":1},{"info":"number node, value=7854","layer":4},{"info":"number node, value=1379","layer":4},{"info":"compute binary expreesion, left_input=7854, right_input=1379, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-4137","layer":3},{"info":"compute unary expreesion, input=-4137, 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=2135","layer":4},{"info":"compute unary expreesion, input=2135, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-6405","layer":3},{"info":"compute unary expreesion, input=-6405, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=12810","layer":2},{"info":"compute binary expreesion, left_input=1522, right_input=12810, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1522","layer":1},{"info":"compute binary expreesion, left_input=316, right_input=1522, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍325B⩨⪎⋱⫍726)⪮%⊝(⪎⋱⫍1105∸)⋫)⊴((+⊝⨔(⪎⋱⫍3762↙⪎⋱⫍821))⋝⋈⪟(↽≂(⊄⩳↩⪎⋱⫍C83)))=NaN","reverse_text":"NaN=((⪎⋱⫍325B⩨⪎⋱⫍726)⪮%⊝(⪎⋱⫍1105∸)⋫)⊴((+⊝⨔(⪎⋱⫍3762↙⪎⋱⫍821))⋝⋈⪟(↽≂(⊄⩳↩⪎⋱⫍C83)))","cot":[{"info":"⪎⋱⫍325B⩨⪎⋱⫍726=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍1105∸=⪎⋱⫍108","layer":3},{"info":"⪎⋱⫍0⪮%⊝⪎⋱⫍108=⪎⋱⫍1B4","layer":2},{"info":"⪎⋱⫍1B4⋫=⪎⋱⫍1B4","layer":1},{"info":"⪎⋱⫍3762↙⪎⋱⫍821=⪎⋱⫍-1B63","layer":3},{"info":"+⊝⨔⪎⋱⫍-1B63=⪎⋱⫍901","layer":2},{"info":"⊄⩳↩⪎⋱⫍C83=⪎⋱⫍-2BB9","layer":3},{"info":"↽≂⪎⋱⫍-2BB9=⪎⋱⫍5AA5","layer":2},{"info":"⪎⋱⫍901⋝⋈⪟⪎⋱⫍5AA5=⪎⋱⫍901","layer":1},{"info":"⪎⋱⫍1B4⊴⪎⋱⫍901=NaN","layer":0}]}
{"id":612,"expression_no_base_symbol":"(($1110$%$2891$)∲⫓$1068$∑⇟⊟$1006$⋷($6672$⨰$2653$)⇷($1134$⋝⋈⪟$4419$))⋝⋈⪟((($2888$∼$1285$)∧)≭(↔$1288$≹⇙⪍$2455$))","expression":"((⪎⋱⫍675%⪎⋱⫍1415)∲⫓⪎⋱⫍642∑⇟⊟⪎⋱⫍5C5⋷(⪎⋱⫍3063⨰⪎⋱⫍1291)⇷(⪎⋱⫍693⋝⋈⪟⪎⋱⫍201C))⋝⋈⪟(((⪎⋱⫍1412∼⪎⋱⫍77B)∧)≭(↔⪎⋱⫍781≹⇙⪍⪎⋱⫍116B))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":56520,"operation_count":13,"complexity_ratio":4347.692307692308,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1110,"base":13},"right_expr":{"type":"numeric_atoms","value":2891,"base":13}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1068,"base":13},"right_expr":{"type":"numeric_atoms","value":1006,"base":13}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":6672,"base":13},"right_expr":{"type":"numeric_atoms","value":2653,"base":13}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1134,"base":13},"right_expr":{"type":"numeric_atoms","value":4419,"base":13}}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2888,"base":13},"right_expr":{"type":"numeric_atoms","value":1285,"base":13}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1288,"base":13},"right_expr":{"type":"numeric_atoms","value":2455,"base":13}}}}},"used_operators":["2DDjHMKMc0","23Mk6UjR3U","i8ToyICDmI","k8jYdgA6NY","U7g4x0WXJJ","mp7IySMOzn","eewbuw0ToL","rxpJgHHUmx","z63VuFQld9","DyGG3AbaNP","ruOEQAzv1W","AHs5Up7iyr"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1110","layer":4},{"info":"number node, value=2891","layer":4},{"info":"compute binary expreesion, left_input=1110, right_input=2891, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1110","layer":3},{"info":"number node, value=1068","layer":4},{"info":"number node, value=1006","layer":4},{"info":"compute binary expreesion, left_input=1068, right_input=1006, 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=1110, 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=6672","layer":4},{"info":"number node, value=2653","layer":4},{"info":"compute binary expreesion, left_input=6672, right_input=2653, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=4029","layer":3},{"info":"number node, value=1134","layer":4},{"info":"number node, value=4419","layer":4},{"info":"compute binary expreesion, left_input=1134, right_input=4419, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1134","layer":3},{"info":"compute binary expreesion, left_input=4029, right_input=1134, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2268","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=2268, 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=2888","layer":4},{"info":"number node, value=1285","layer":4},{"info":"compute binary expreesion, left_input=2888, right_input=1285, 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 = 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=1288","layer":4},{"info":"number node, value=2455","layer":4},{"info":"compute binary expreesion, left_input=1288, right_input=2455, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-134, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍675%⪎⋱⫍1415)∲⫓⪎⋱⫍642∑⇟⊟⪎⋱⫍5C5⋷(⪎⋱⫍3063⨰⪎⋱⫍1291)⇷(⪎⋱⫍693⋝⋈⪟⪎⋱⫍201C))⋝⋈⪟(((⪎⋱⫍1412∼⪎⋱⫍77B)∧)≭(↔⪎⋱⫍781≹⇙⪍⪎⋱⫍116B))=NaN","reverse_text":"NaN=((⪎⋱⫍675%⪎⋱⫍1415)∲⫓⪎⋱⫍642∑⇟⊟⪎⋱⫍5C5⋷(⪎⋱⫍3063⨰⪎⋱⫍1291)⇷(⪎⋱⫍693⋝⋈⪟⪎⋱⫍201C))⋝⋈⪟(((⪎⋱⫍1412∼⪎⋱⫍77B)∧)≭(↔⪎⋱⫍781≹⇙⪍⪎⋱⫍116B))","cot":[{"info":"⪎⋱⫍675%⪎⋱⫍1415=⪎⋱⫍675","layer":3},{"info":"⪎⋱⫍642∑⇟⊟⪎⋱⫍5C5=NaN","layer":3},{"info":"⪎⋱⫍675∲⫓NaN=NaN","layer":2},{"info":"⪎⋱⫍3063⨰⪎⋱⫍1291=⪎⋱⫍1AAC","layer":3},{"info":"⪎⋱⫍693⋝⋈⪟⪎⋱⫍201C=⪎⋱⫍693","layer":3},{"info":"⪎⋱⫍1AAC⇷⪎⋱⫍693=⪎⋱⫍1056","layer":2},{"info":"NaN⋷⪎⋱⫍1056=NaN","layer":1},{"info":"⪎⋱⫍1412∼⪎⋱⫍77B=NaN","layer":3},{"info":"NaN∧=NaN","layer":2},{"info":"⪎⋱⫍781≹⇙⪍⪎⋱⫍116B=NaN","layer":3},{"info":"↔NaN=⪎⋱⫍-A4","layer":2},{"info":"NaN≭⪎⋱⫍-A4=NaN","layer":1},{"info":"NaN⋝⋈⪟NaN=NaN","layer":0}]}
{"id":613,"expression_no_base_symbol":"($1929$↺$1315$)⨓(⇁⨣⪵$5023$)⋳⪒($3290$∀⇚≩$3278$⩨$4104$⪄$1158$)⫡⨏(↩$6250$⋳⪒$6083$)≧⫂∧(⫛⫱⨽(⫛⫱⨽$4317$))","expression":"(⪎⋱⫍B55↺⪎⋱⫍7A2)⨓(⇁⨣⪵⪎⋱⫍2395)⋳⪒(⪎⋱⫍1661∀⇚≩⪎⋱⫍1652⩨⪎⋱⫍1B39⪄⪎⋱⫍6B1)⫡⨏(↩⪎⋱⫍2ACA⋳⪒⪎⋱⫍29CC)≧⫂∧(⫛⫱⨽(⫛⫱⨽⪎⋱⫍1C71))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":25511,"operation_count":13,"complexity_ratio":1962.3846153846155,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1929,"base":13},"right_expr":{"type":"numeric_atoms","value":1315,"base":13}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":5023,"base":13}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":3290,"base":13},"right_expr":{"type":"numeric_atoms","value":3278,"base":13}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":4104,"base":13},"right_expr":{"type":"numeric_atoms","value":1158,"base":13}}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":6250,"base":13},"right_expr":{"type":"numeric_atoms","value":6083,"base":13}}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":4317,"base":13}}}}},"used_operators":["QMFrweE19q","12rbrZMWeM","3ViojmjbAp","7j4O788W3g","inkyxCbjAn","2DlMacCsIx","LRNGc0VcxI","SUmda5xLS4","Ph9nP6C5qx","jLgFTUHLKL","DlLNRPXxWL"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","X99M06cbEe","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1929","layer":4},{"info":"number node, value=1315","layer":4},{"info":"compute binary expreesion, left_input=1929, right_input=1315, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1315","layer":3},{"info":"number node, value=5023","layer":4},{"info":"compute unary expreesion, input=5023, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1315, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":2},{"info":"number node, value=3290","layer":4},{"info":"number node, value=3278","layer":4},{"info":"compute binary expreesion, left_input=3290, right_input=3278, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=4104","layer":4},{"info":"number node, value=1158","layer":4},{"info":"compute binary expreesion, left_input=4104, right_input=1158, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-608113","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-608113, 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 = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":1},{"info":"number node, value=6250","layer":4},{"info":"number node, value=6083","layer":4},{"info":"compute binary expreesion, left_input=6250, right_input=6083, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=6130","layer":3},{"info":"compute unary expreesion, input=6130, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-46260","layer":2},{"info":"number node, value=4317","layer":4},{"info":"compute unary expreesion, input=4317, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-46260, right_input=0, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-473","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-473, op_id = 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":13,"result_base":13,"text":"(⪎⋱⫍B55↺⪎⋱⫍7A2)⨓(⇁⨣⪵⪎⋱⫍2395)⋳⪒(⪎⋱⫍1661∀⇚≩⪎⋱⫍1652⩨⪎⋱⫍1B39⪄⪎⋱⫍6B1)⫡⨏(↩⪎⋱⫍2ACA⋳⪒⪎⋱⫍29CC)≧⫂∧(⫛⫱⨽(⫛⫱⨽⪎⋱⫍1C71))=NaN","reverse_text":"NaN=(⪎⋱⫍B55↺⪎⋱⫍7A2)⨓(⇁⨣⪵⪎⋱⫍2395)⋳⪒(⪎⋱⫍1661∀⇚≩⪎⋱⫍1652⩨⪎⋱⫍1B39⪄⪎⋱⫍6B1)⫡⨏(↩⪎⋱⫍2ACA⋳⪒⪎⋱⫍29CC)≧⫂∧(⫛⫱⨽(⫛⫱⨽⪎⋱⫍1C71))","cot":[{"info":"⪎⋱⫍B55↺⪎⋱⫍7A2=⪎⋱⫍7A2","layer":3},{"info":"⇁⨣⪵⪎⋱⫍2395=NaN","layer":3},{"info":"⪎⋱⫍7A2⨓NaN=NaN","layer":2},{"info":"⪎⋱⫍1661∀⇚≩⪎⋱⫍1652=NaN","layer":3},{"info":"⪎⋱⫍1B39⪄⪎⋱⫍6B1=⪎⋱⫍-183A3C","layer":3},{"info":"NaN⩨⪎⋱⫍-183A3C=NaN","layer":2},{"info":"NaN⋳⪒NaN=NaN","layer":1},{"info":"⪎⋱⫍2ACA⋳⪒⪎⋱⫍29CC=⪎⋱⫍2A37","layer":3},{"info":"↩⪎⋱⫍2A37=⪎⋱⫍-18096","layer":2},{"info":"⫛⫱⨽⪎⋱⫍1C71=⪎⋱⫍0","layer":3},{"info":"⫛⫱⨽⪎⋱⫍0=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍-18096≧⫂∧⪎⋱⫍0=⪎⋱⫍-2A5","layer":1},{"info":"NaN⫡⨏⪎⋱⫍-2A5=NaN","layer":0}]}
{"id":614,"expression_no_base_symbol":"⇁⨣⪵(($1075$⩠)⫌⩹⨱)⨐⩸⫘($2949$⨟⋌⩍$1290$⨳⩥⨓($1132$⊉≛↸$3886$))","expression":"⇁⨣⪵((⪎⋱⫍649⩠)⫌⩹⨱)⨐⩸⫘(⪎⋱⫍145B⨟⋌⩍⪎⋱⫍783⨳⩥⨓(⪎⋱⫍691⊉≛↸⪎⋱⫍19CC))","highest_n_order":5,"priority_hierarchical_complexity":7,"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":1075,"base":13}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2949,"base":13},"right_expr":{"type":"numeric_atoms","value":1290,"base":13}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1132,"base":13},"right_expr":{"type":"numeric_atoms","value":3886,"base":13}}}}},"used_operators":["inkyxCbjAn","fu6greOZ01","EBcxylXtPf","sJAwomhLZr","nCS4ZIUYfx","rGHVDoGpnC","DZ8iAZOCBD"],"dependent_operators":["B5M0gjZbta","3ViojmjbAp","W4YGzv6Whe","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","Tcnh7f0tEr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1075","layer":4},{"info":"compute unary expreesion, input=1075, 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 = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=1401","layer":2},{"info":"number node, value=2949","layer":4},{"info":"number node, value=1290","layer":4},{"info":"compute binary expreesion, left_input=2949, right_input=1290, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=1132","layer":4},{"info":"number node, value=3886","layer":4},{"info":"compute binary expreesion, left_input=1132, right_input=3886, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2264","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2264, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1401, 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 = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⇁⨣⪵((⪎⋱⫍649⩠)⫌⩹⨱)⨐⩸⫘(⪎⋱⫍145B⨟⋌⩍⪎⋱⫍783⨳⩥⨓(⪎⋱⫍691⊉≛↸⪎⋱⫍19CC))=NaN","reverse_text":"NaN=⇁⨣⪵((⪎⋱⫍649⩠)⫌⩹⨱)⨐⩸⫘(⪎⋱⫍145B⨟⋌⩍⪎⋱⫍783⨳⩥⨓(⪎⋱⫍691⊉≛↸⪎⋱⫍19CC))","cot":[{"info":"⪎⋱⫍649⩠=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍0⫌⩹⨱=⪎⋱⫍83A","layer":2},{"info":"⪎⋱⫍145B⨟⋌⩍⪎⋱⫍783=NaN","layer":3},{"info":"⪎⋱⫍691⊉≛↸⪎⋱⫍19CC=⪎⋱⫍1052","layer":3},{"info":"NaN⨳⩥⨓⪎⋱⫍1052=NaN","layer":2},{"info":"⪎⋱⫍83A⨐⩸⫘NaN=NaN","layer":1},{"info":"⇁⨣⪵NaN=NaN","layer":0}]}
{"id":615,"expression_no_base_symbol":"(($3095$⋷$4268$)⋓($3103$*$3549$)⇼⇔∾$1646$⊴$5214$⩚⊴⇥$3426$⇷$8699$)↙((⩦⩻⨪($1761$-$3243$))⫡⨏($1031$⪄$1928$)⪛(∂$2313$))","expression":"((⪎⋱⫍1541⋷⪎⋱⫍1C34)⋓(⪎⋱⫍1549*⪎⋱⫍1800)⇼⇔∾⪎⋱⫍998⊴⪎⋱⫍24B1⩚⊴⇥⪎⋱⫍1737⇷⪎⋱⫍3C62)↙((⩦⩻⨪(⪎⋱⫍A56-⪎⋱⫍1626))⫡⨏(⪎⋱⫍614⪄⪎⋱⫍B54)⪛(∂⪎⋱⫍108C))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":56426,"operation_count":14,"complexity_ratio":4030.4285714285716,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":3095,"base":13},"right_expr":{"type":"numeric_atoms","value":4268,"base":13}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":3103,"base":13},"right_expr":{"type":"numeric_atoms","value":3549,"base":13}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1646,"base":13},"right_expr":{"type":"numeric_atoms","value":5214,"base":13}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":3426,"base":13},"right_expr":{"type":"numeric_atoms","value":8699,"base":13}}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1761,"base":13},"right_expr":{"type":"numeric_atoms","value":3243,"base":13}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1031,"base":13},"right_expr":{"type":"numeric_atoms","value":1928,"base":13}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":2313,"base":13}}}}},"used_operators":["yyfyN0ffXY","tifHPKVTfV","T2fj7uvVaJ","23Mk6UjR3U","9HNa5Wba9A","NTOWxs364D","Nsiff2A1zJ","mp7IySMOzn","QMFrweE19q","2td37pGCOC","rysDP5nf3Z","uFcxV4UQCh","SUmda5xLS4","Uaa54Peajs"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","dWAJyo7jo9","14qkJME0vr","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3095","layer":4},{"info":"number node, value=4268","layer":4},{"info":"compute binary expreesion, left_input=3095, right_input=4268, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=5441","layer":3},{"info":"number node, value=3103","layer":4},{"info":"number node, value=3549","layer":4},{"info":"compute binary expreesion, left_input=3103, right_input=3549, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=11012547","layer":3},{"info":"compute binary expreesion, left_input=5441, right_input=11012547, op_id = T2fj7uvVaJ binary_op_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=1646","layer":4},{"info":"number node, value=5214","layer":4},{"info":"compute binary expreesion, left_input=1646, right_input=5214, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=3426","layer":4},{"info":"number node, value=8699","layer":4},{"info":"compute binary expreesion, left_input=3426, right_input=8699, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=17398","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=17398, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":1},{"info":"number node, value=1761","layer":4},{"info":"number node, value=3243","layer":4},{"info":"compute binary expreesion, left_input=1761, right_input=3243, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-1482","layer":3},{"info":"compute unary expreesion, input=-1482, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=-1482","layer":2},{"info":"number node, value=1031","layer":4},{"info":"number node, value=1928","layer":4},{"info":"compute binary expreesion, left_input=1031, right_input=1928, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-156389","layer":3},{"info":"number node, value=2313","layer":4},{"info":"compute unary expreesion, input=2313, 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=-156389, 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=-1482, 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 = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍1541⋷⪎⋱⫍1C34)⋓(⪎⋱⫍1549*⪎⋱⫍1800)⇼⇔∾⪎⋱⫍998⊴⪎⋱⫍24B1⩚⊴⇥⪎⋱⫍1737⇷⪎⋱⫍3C62)↙((⩦⩻⨪(⪎⋱⫍A56-⪎⋱⫍1626))⫡⨏(⪎⋱⫍614⪄⪎⋱⫍B54)⪛(∂⪎⋱⫍108C))=NaN","reverse_text":"NaN=((⪎⋱⫍1541⋷⪎⋱⫍1C34)⋓(⪎⋱⫍1549*⪎⋱⫍1800)⇼⇔∾⪎⋱⫍998⊴⪎⋱⫍24B1⩚⊴⇥⪎⋱⫍1737⇷⪎⋱⫍3C62)↙((⩦⩻⨪(⪎⋱⫍A56-⪎⋱⫍1626))⫡⨏(⪎⋱⫍614⪄⪎⋱⫍B54)⪛(∂⪎⋱⫍108C))","cot":[{"info":"⪎⋱⫍1541⋷⪎⋱⫍1C34=⪎⋱⫍2627","layer":3},{"info":"⪎⋱⫍1549*⪎⋱⫍1800=⪎⋱⫍2387700","layer":3},{"info":"⪎⋱⫍2627⋓⪎⋱⫍2387700=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍998⊴⪎⋱⫍24B1=NaN","layer":3},{"info":"⪎⋱⫍1737⇷⪎⋱⫍3C62=⪎⋱⫍7BC4","layer":3},{"info":"NaN⩚⊴⇥⪎⋱⫍7BC4=NaN","layer":2},{"info":"⪎⋱⫍0⇼⇔∾NaN=NaN","layer":1},{"info":"⪎⋱⫍A56-⪎⋱⫍1626=⪎⋱⫍-8A0","layer":3},{"info":"⩦⩻⨪⪎⋱⫍-8A0=⪎⋱⫍-8A0","layer":2},{"info":"⪎⋱⫍614⪄⪎⋱⫍B54=⪎⋱⫍-5624C","layer":3},{"info":"∂⪎⋱⫍108C=NaN","layer":3},{"info":"⪎⋱⫍-5624C⪛NaN=NaN","layer":2},{"info":"⪎⋱⫍-8A0⫡⨏NaN=NaN","layer":1},{"info":"NaN↙NaN=NaN","layer":0}]}
{"id":616,"expression_no_base_symbol":"∂(($3203$-$8862$)⨓($1089$⊭↱$1086$))⪘⫢((+⊝⨔$1014$)⊭↱$3493$↙$3284$)","expression":"∂((⪎⋱⫍15C5-⪎⋱⫍4059)⨓(⪎⋱⫍65A⊭↱⪎⋱⫍657))⪘⫢((+⊝⨔⪎⋱⫍600)⊭↱⪎⋱⫍1789↙⪎⋱⫍1658)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":3773,"operation_count":8,"complexity_ratio":471.625,"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":3203,"base":13},"right_expr":{"type":"numeric_atoms","value":8862,"base":13}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1089,"base":13},"right_expr":{"type":"numeric_atoms","value":1086,"base":13}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":1014,"base":13}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":3493,"base":13},"right_expr":{"type":"numeric_atoms","value":3284,"base":13}}}}},"used_operators":["Uaa54Peajs","oacrs7FA3X","3ViojmjbAp","rysDP5nf3Z","COABgblf1C","DhbWaqg5eL","yyfyN0ffXY"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","tmPS8pqC7x","DpFCA1CohY"],"result":"⪎⋱⫍-173","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3203","layer":4},{"info":"number node, value=8862","layer":4},{"info":"compute binary expreesion, left_input=3203, right_input=8862, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-5659","layer":3},{"info":"number node, value=1089","layer":4},{"info":"number node, value=1086","layer":4},{"info":"compute binary expreesion, left_input=1089, right_input=1086, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=-5659, right_input=-1, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-4","layer":2},{"info":"number node, value=1014","layer":4},{"info":"compute unary expreesion, input=1014, 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=3493","layer":4},{"info":"number node, value=3284","layer":4},{"info":"compute binary expreesion, left_input=3493, right_input=3284, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-9852","layer":3},{"info":"compute binary expreesion, left_input=1522, right_input=-9852, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-22743","layer":2},{"info":"compute binary expreesion, left_input=-4, right_input=-22743, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=-1","layer":1},{"info":"compute unary expreesion, input=-1, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=-263","layer":0}],"base":13,"result_base":13,"text":"∂((⪎⋱⫍15C5-⪎⋱⫍4059)⨓(⪎⋱⫍65A⊭↱⪎⋱⫍657))⪘⫢((+⊝⨔⪎⋱⫍600)⊭↱⪎⋱⫍1789↙⪎⋱⫍1658)=⪎⋱⫍-173","reverse_text":"⪎⋱⫍-173=∂((⪎⋱⫍15C5-⪎⋱⫍4059)⨓(⪎⋱⫍65A⊭↱⪎⋱⫍657))⪘⫢((+⊝⨔⪎⋱⫍600)⊭↱⪎⋱⫍1789↙⪎⋱⫍1658)","cot":[{"info":"⪎⋱⫍15C5-⪎⋱⫍4059=⪎⋱⫍-2764","layer":3},{"info":"⪎⋱⫍65A⊭↱⪎⋱⫍657=⪎⋱⫍-1","layer":3},{"info":"⪎⋱⫍-2764⨓⪎⋱⫍-1=⪎⋱⫍-4","layer":2},{"info":"+⊝⨔⪎⋱⫍600=⪎⋱⫍901","layer":3},{"info":"⪎⋱⫍1789↙⪎⋱⫍1658=⪎⋱⫍-463B","layer":3},{"info":"⪎⋱⫍901⊭↱⪎⋱⫍-463B=⪎⋱⫍-A476","layer":2},{"info":"⪎⋱⫍-4⪘⫢⪎⋱⫍-A476=⪎⋱⫍-1","layer":1},{"info":"∂⪎⋱⫍-1=⪎⋱⫍-173","layer":0}]}
{"id":617,"expression_no_base_symbol":"((($1116$↛⩡⫤)⪄$2068$⨰$5485$)⋥≓≎((↽≂$1301$)⊪))⪘⫢(($2676$/$3767$)⇷($1113$⋷$2660$)⋷(⫓⪴$3704$)⨐⩸⫘($2091$⋷$2011$))","expression":"(((⪎⋱⫍67B↛⩡⫤)⪄⪎⋱⫍C31⨰⪎⋱⫍265C)⋥≓≎((↽≂⪎⋱⫍791)⊪))⪘⫢((⪎⋱⫍12AB/⪎⋱⫍193A)⇷(⪎⋱⫍678⋷⪎⋱⫍1298)⋷(⫓⪴⪎⋱⫍18BC)⨐⩸⫘(⪎⋱⫍C4B⋷⪎⋱⫍BB9))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":15141,"operation_count":14,"complexity_ratio":1081.5,"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":1116,"base":13}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2068,"base":13},"right_expr":{"type":"numeric_atoms","value":5485,"base":13}}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":1301,"base":13}}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2676,"base":13},"right_expr":{"type":"numeric_atoms","value":3767,"base":13}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1113,"base":13},"right_expr":{"type":"numeric_atoms","value":2660,"base":13}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":3704,"base":13}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":2091,"base":13},"right_expr":{"type":"numeric_atoms","value":2011,"base":13}}}}},"used_operators":["oacrs7FA3X","Qy55tPpLXF","SUmda5xLS4","FU0Cs4j7VP","eewbuw0ToL","zVYPLywUTj","u6S6b8DprG","23Mk6UjR3U","mp7IySMOzn","XhwjNDsVaA","fu6greOZ01","eLxqMNBOBk"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","3ViojmjbAp","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1116","layer":4},{"info":"compute unary expreesion, input=1116, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-164605","layer":3},{"info":"number node, value=2068","layer":4},{"info":"number node, value=5485","layer":4},{"info":"compute binary expreesion, left_input=2068, right_input=5485, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-3407","layer":3},{"info":"compute binary expreesion, left_input=-164605, right_input=-3407, 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=1301","layer":4},{"info":"compute unary expreesion, input=1301, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-2602","layer":3},{"info":"compute unary expreesion, input=-2602, 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=68006294","layer":2},{"info":"compute binary expreesion, left_input=3979, right_input=68006294, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=136008642","layer":1},{"info":"number node, value=2676","layer":4},{"info":"number node, value=3767","layer":4},{"info":"compute binary expreesion, left_input=2676, right_input=3767, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=1113","layer":4},{"info":"number node, value=2660","layer":4},{"info":"compute binary expreesion, left_input=1113, right_input=2660, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=4207","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=4207, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=8414","layer":2},{"info":"number node, value=3704","layer":4},{"info":"compute unary expreesion, input=3704, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=13719616","layer":3},{"info":"number node, value=2091","layer":4},{"info":"number node, value=2011","layer":4},{"info":"compute binary expreesion, left_input=2091, right_input=2011, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=1931","layer":3},{"info":"compute binary expreesion, left_input=13719616, right_input=1931, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=8414, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=136008642, 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":13,"result_base":13,"text":"(((⪎⋱⫍67B↛⩡⫤)⪄⪎⋱⫍C31⨰⪎⋱⫍265C)⋥≓≎((↽≂⪎⋱⫍791)⊪))⪘⫢((⪎⋱⫍12AB/⪎⋱⫍193A)⇷(⪎⋱⫍678⋷⪎⋱⫍1298)⋷(⫓⪴⪎⋱⫍18BC)⨐⩸⫘(⪎⋱⫍C4B⋷⪎⋱⫍BB9))=NaN","reverse_text":"NaN=(((⪎⋱⫍67B↛⩡⫤)⪄⪎⋱⫍C31⨰⪎⋱⫍265C)⋥≓≎((↽≂⪎⋱⫍791)⊪))⪘⫢((⪎⋱⫍12AB/⪎⋱⫍193A)⇷(⪎⋱⫍678⋷⪎⋱⫍1298)⋷(⫓⪴⪎⋱⫍18BC)⨐⩸⫘(⪎⋱⫍C4B⋷⪎⋱⫍BB9))","cot":[{"info":"⪎⋱⫍67B↛⩡⫤=⪎⋱⫍-59BCC","layer":3},{"info":"⪎⋱⫍C31⨰⪎⋱⫍265C=⪎⋱⫍-1721","layer":3},{"info":"⪎⋱⫍-59BCC⪄⪎⋱⫍-1721=⪎⋱⫍1A71","layer":2},{"info":"↽≂⪎⋱⫍791=⪎⋱⫍-1252","layer":3},{"info":"⪎⋱⫍-1252⊪=⪎⋱⫍11121215","layer":2},{"info":"⪎⋱⫍1A71⋥≓≎⪎⋱⫍11121215=⪎⋱⫍222406B3","layer":1},{"info":"⪎⋱⫍12AB/⪎⋱⫍193A=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍678⋷⪎⋱⫍1298=⪎⋱⫍1BB8","layer":3},{"info":"⪎⋱⫍0⇷⪎⋱⫍1BB8=⪎⋱⫍3AA3","layer":2},{"info":"⫓⪴⪎⋱⫍18BC=⪎⋱⫍2AC4921","layer":3},{"info":"⪎⋱⫍C4B⋷⪎⋱⫍BB9=⪎⋱⫍B57","layer":3},{"info":"⪎⋱⫍2AC4921⨐⩸⫘⪎⋱⫍B57=NaN","layer":2},{"info":"⪎⋱⫍3AA3⋷NaN=NaN","layer":1},{"info":"⪎⋱⫍222406B3⪘⫢NaN=NaN","layer":0}]}
{"id":618,"expression_no_base_symbol":"(∂(↥$2547$))∼(($4405$⫡⨏$2535$)⊭↱$2531$⇷$7857$)↙((≤/($4185$⫡⨏$3295$))∲⫓$2020$⪘⫢$1592$⪄($1831$⋫))","expression":"(∂(↥⪎⋱⫍120C))∼((⪎⋱⫍200B⫡⨏⪎⋱⫍1200)⊭↱⪎⋱⫍11C9⇷⪎⋱⫍3765)↙((≤/(⪎⋱⫍1B9C⫡⨏⪎⋱⫍1666))∲⫓⪎⋱⫍BC5⪘⫢⪎⋱⫍956⪄(⪎⋱⫍AAB⋫))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":37878,"operation_count":13,"complexity_ratio":2913.6923076923076,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":2547,"base":13}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":4405,"base":13},"right_expr":{"type":"numeric_atoms","value":2535,"base":13}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2531,"base":13},"right_expr":{"type":"numeric_atoms","value":7857,"base":13}}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":4185,"base":13},"right_expr":{"type":"numeric_atoms","value":3295,"base":13}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2020,"base":13},"right_expr":{"type":"numeric_atoms","value":1592,"base":13}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":1831,"base":13}}}}},"used_operators":["yyfyN0ffXY","DyGG3AbaNP","Uaa54Peajs","A8NUZmVepG","COABgblf1C","QMFrweE19q","mp7IySMOzn","i8ToyICDmI","eLAdDNolq6","SUmda5xLS4","oacrs7FA3X","JL8yIekQnl"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","tmPS8pqC7x"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2547","layer":4},{"info":"compute unary expreesion, input=2547, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=48","layer":3},{"info":"compute unary expreesion, input=48, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=-312","layer":2},{"info":"number node, value=4405","layer":4},{"info":"number node, value=2535","layer":4},{"info":"compute binary expreesion, left_input=4405, right_input=2535, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=27878","layer":3},{"info":"number node, value=2531","layer":4},{"info":"number node, value=7857","layer":4},{"info":"compute binary expreesion, left_input=2531, right_input=7857, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=15714","layer":3},{"info":"compute binary expreesion, left_input=27878, right_input=15714, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-24323","layer":2},{"info":"compute binary expreesion, left_input=-312, right_input=-24323, 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=4185","layer":4},{"info":"number node, value=3295","layer":4},{"info":"compute binary expreesion, left_input=4185, right_input=3295, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=28298","layer":3},{"info":"compute unary expreesion, input=28298, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-27814","layer":2},{"info":"number node, value=2020","layer":4},{"info":"number node, value=1592","layer":4},{"info":"compute binary expreesion, left_input=2020, right_input=1592, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=3916","layer":3},{"info":"number node, value=1831","layer":4},{"info":"compute unary expreesion, input=1831, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=1831","layer":3},{"info":"compute binary expreesion, left_input=3916, right_input=1831, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-582981","layer":2},{"info":"compute binary expreesion, left_input=-27814, right_input=-582981, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=-27814","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-27814, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(∂(↥⪎⋱⫍120C))∼((⪎⋱⫍200B⫡⨏⪎⋱⫍1200)⊭↱⪎⋱⫍11C9⇷⪎⋱⫍3765)↙((≤/(⪎⋱⫍1B9C⫡⨏⪎⋱⫍1666))∲⫓⪎⋱⫍BC5⪘⫢⪎⋱⫍956⪄(⪎⋱⫍AAB⋫))=NaN","reverse_text":"NaN=(∂(↥⪎⋱⫍120C))∼((⪎⋱⫍200B⫡⨏⪎⋱⫍1200)⊭↱⪎⋱⫍11C9⇷⪎⋱⫍3765)↙((≤/(⪎⋱⫍1B9C⫡⨏⪎⋱⫍1666))∲⫓⪎⋱⫍BC5⪘⫢⪎⋱⫍956⪄(⪎⋱⫍AAB⋫))","cot":[{"info":"↥⪎⋱⫍120C=⪎⋱⫍39","layer":3},{"info":"∂⪎⋱⫍39=⪎⋱⫍-1B0","layer":2},{"info":"⪎⋱⫍200B⫡⨏⪎⋱⫍1200=⪎⋱⫍C8C6","layer":3},{"info":"⪎⋱⫍11C9⇷⪎⋱⫍3765=⪎⋱⫍71CA","layer":3},{"info":"⪎⋱⫍C8C6⊭↱⪎⋱⫍71CA=⪎⋱⫍-B0C0","layer":2},{"info":"⪎⋱⫍-1B0∼⪎⋱⫍-B0C0=NaN","layer":1},{"info":"⪎⋱⫍1B9C⫡⨏⪎⋱⫍1666=⪎⋱⫍CB5A","layer":3},{"info":"≤/⪎⋱⫍CB5A=⪎⋱⫍-C877","layer":2},{"info":"⪎⋱⫍BC5⪘⫢⪎⋱⫍956=⪎⋱⫍1A23","layer":3},{"info":"⪎⋱⫍AAB⋫=⪎⋱⫍AAB","layer":3},{"info":"⪎⋱⫍1A23⪄⪎⋱⫍AAB=⪎⋱⫍-175479","layer":2},{"info":"⪎⋱⫍-C877∲⫓⪎⋱⫍-175479=⪎⋱⫍-C877","layer":1},{"info":"NaN↙⪎⋱⫍-C877=NaN","layer":0}]}
{"id":619,"expression_no_base_symbol":"↥($1180$↬$6092$⩷∴(⊄⩳↩$2565$)⋷(($6521$⫸⊐$6155$)≣⋋))","expression":"↥(⪎⋱⫍6CA↬⪎⋱⫍2A08⩷∴(⊄⩳↩⪎⋱⫍1224)⋷((⪎⋱⫍2C78⫸⊐⪎⋱⫍2A56)≣⋋))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":551,"operation_count":7,"complexity_ratio":78.71428571428571,"tree":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1180,"base":13},"right_expr":{"type":"numeric_atoms","value":6092,"base":13}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":2565,"base":13}}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":6521,"base":13},"right_expr":{"type":"numeric_atoms","value":6155,"base":13}}}}},"used_operators":["A8NUZmVepG","23Mk6UjR3U","9FxExcQeMw","B5M0gjZbta","8w2t5hMYqp","Tcnh7f0tEr","mqXw5SEYmG"],"dependent_operators":["k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1180","layer":4},{"info":"number node, value=6092","layer":4},{"info":"compute binary expreesion, left_input=1180, right_input=6092, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=2565","layer":4},{"info":"compute unary expreesion, input=2565, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-7695","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-7695, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":2},{"info":"number node, value=6521","layer":4},{"info":"number node, value=6155","layer":4},{"info":"compute binary expreesion, left_input=6521, right_input=6155, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=24495","layer":3},{"info":"compute unary expreesion, input=24495, 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 = 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 = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"↥(⪎⋱⫍6CA↬⪎⋱⫍2A08⩷∴(⊄⩳↩⪎⋱⫍1224)⋷((⪎⋱⫍2C78⫸⊐⪎⋱⫍2A56)≣⋋))=NaN","reverse_text":"NaN=↥(⪎⋱⫍6CA↬⪎⋱⫍2A08⩷∴(⊄⩳↩⪎⋱⫍1224)⋷((⪎⋱⫍2C78⫸⊐⪎⋱⫍2A56)≣⋋))","cot":[{"info":"⪎⋱⫍6CA↬⪎⋱⫍2A08=NaN","layer":3},{"info":"⊄⩳↩⪎⋱⫍1224=⪎⋱⫍-366C","layer":3},{"info":"NaN⩷∴⪎⋱⫍-366C=NaN","layer":2},{"info":"⪎⋱⫍2C78⫸⊐⪎⋱⫍2A56=⪎⋱⫍B1C3","layer":3},{"info":"⪎⋱⫍B1C3≣⋋=⪎⋱⫍0","layer":2},{"info":"NaN⋷⪎⋱⫍0=NaN","layer":1},{"info":"↥NaN=NaN","layer":0}]}
{"id":620,"expression_no_base_symbol":"($1154$⩨$1864$⊉≛↸($1488$+$3070$))⩚⊴⇥(≤/$3983$⪄$3043$)⨳⩥⨓(↩($8741$⨟⋌⩍$5371$⨵⪆$2870$⨳⩥⨓$1214$))","expression":"(⪎⋱⫍6AA⩨⪎⋱⫍B05⊉≛↸(⪎⋱⫍8A6+⪎⋱⫍1522))⩚⊴⇥(≤/⪎⋱⫍1A75⪄⪎⋱⫍1501)⨳⩥⨓(↩(⪎⋱⫍3C95⨟⋌⩍⪎⋱⫍25A2⨵⪆⪎⋱⫍13CA⨳⩥⨓⪎⋱⫍725))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":130,"operation_count":11,"complexity_ratio":11.818181818181818,"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":1154,"base":13},"right_expr":{"type":"numeric_atoms","value":1864,"base":13}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1488,"base":13},"right_expr":{"type":"numeric_atoms","value":3070,"base":13}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":3983,"base":13},"right_expr":{"type":"numeric_atoms","value":3043,"base":13}}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":8741,"base":13},"right_expr":{"type":"numeric_atoms","value":5371,"base":13}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2870,"base":13},"right_expr":{"type":"numeric_atoms","value":1214,"base":13}}}}},"used_operators":["nCS4ZIUYfx","NTOWxs364D","DZ8iAZOCBD","2DlMacCsIx","W4YGzv6Whe","eLAdDNolq6","SUmda5xLS4","jLgFTUHLKL","2DQ55sFlQl","rGHVDoGpnC"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr"],"result":"⪎⋱⫍18004B","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1154","layer":4},{"info":"number node, value=1864","layer":4},{"info":"compute binary expreesion, left_input=1154, right_input=1864, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":3},{"info":"number node, value=1488","layer":4},{"info":"number node, value=3070","layer":4},{"info":"compute binary expreesion, left_input=1488, right_input=3070, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4558","layer":3},{"info":"compute binary expreesion, left_input=-3, right_input=4558, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=-6","layer":2},{"info":"number node, value=3983","layer":4},{"info":"number node, value=3043","layer":4},{"info":"compute binary expreesion, left_input=3983, right_input=3043, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-597745","layer":3},{"info":"compute unary expreesion, input=-597745, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=598229","layer":2},{"info":"compute binary expreesion, left_input=-6, right_input=598229, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-598344","layer":1},{"info":"number node, value=8741","layer":4},{"info":"number node, value=5371","layer":4},{"info":"compute binary expreesion, left_input=8741, right_input=5371, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=2870","layer":4},{"info":"number node, value=1214","layer":4},{"info":"compute binary expreesion, left_input=2870, right_input=1214, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-1656","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1656, 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 = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=1500","layer":1},{"info":"compute binary expreesion, left_input=-598344, right_input=1500, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=599844","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍6AA⩨⪎⋱⫍B05⊉≛↸(⪎⋱⫍8A6+⪎⋱⫍1522))⩚⊴⇥(≤/⪎⋱⫍1A75⪄⪎⋱⫍1501)⨳⩥⨓(↩(⪎⋱⫍3C95⨟⋌⩍⪎⋱⫍25A2⨵⪆⪎⋱⫍13CA⨳⩥⨓⪎⋱⫍725))=⪎⋱⫍18004B","reverse_text":"⪎⋱⫍18004B=(⪎⋱⫍6AA⩨⪎⋱⫍B05⊉≛↸(⪎⋱⫍8A6+⪎⋱⫍1522))⩚⊴⇥(≤/⪎⋱⫍1A75⪄⪎⋱⫍1501)⨳⩥⨓(↩(⪎⋱⫍3C95⨟⋌⩍⪎⋱⫍25A2⨵⪆⪎⋱⫍13CA⨳⩥⨓⪎⋱⫍725))","cot":[{"info":"⪎⋱⫍6AA⩨⪎⋱⫍B05=⪎⋱⫍-3","layer":3},{"info":"⪎⋱⫍8A6+⪎⋱⫍1522=⪎⋱⫍20C8","layer":3},{"info":"⪎⋱⫍-3⊉≛↸⪎⋱⫍20C8=⪎⋱⫍-6","layer":2},{"info":"⪎⋱⫍1A75⪄⪎⋱⫍1501=⪎⋱⫍-17C0C5","layer":3},{"info":"≤/⪎⋱⫍-17C0C5=⪎⋱⫍17C3A8","layer":2},{"info":"⪎⋱⫍-6⩚⊴⇥⪎⋱⫍17C3A8=⪎⋱⫍-17C466","layer":1},{"info":"⪎⋱⫍3C95⨟⋌⩍⪎⋱⫍25A2=NaN","layer":3},{"info":"⪎⋱⫍13CA⨳⩥⨓⪎⋱⫍725=⪎⋱⫍-9A5","layer":3},{"info":"NaN⨵⪆⪎⋱⫍-9A5=⪎⋱⫍C4","layer":2},{"info":"↩⪎⋱⫍C4=⪎⋱⫍8B5","layer":1},{"info":"⪎⋱⫍-17C466⨳⩥⨓⪎⋱⫍8B5=⪎⋱⫍18004B","layer":0}]}
{"id":621,"expression_no_base_symbol":"($1708$⨰$2907$⫸⊐($5849$/$1150$)+$2384$⨓$2170$⨎($3175$⋳⪒$4349$))⨽(($2193$-$1462$)⇼⇔∾$2386$⫸⊐$2655$)⋳⪒(-$4629$)⪮%⊝($1012$⫸⊐$3981$)","expression":"(⪎⋱⫍A15⨰⪎⋱⫍1428⫸⊐(⪎⋱⫍287C/⪎⋱⫍6A6)+⪎⋱⫍1115⨓⪎⋱⫍CAC⨎(⪎⋱⫍15A3⋳⪒⪎⋱⫍1C97))⨽((⪎⋱⫍CC9-⪎⋱⫍886)⇼⇔∾⪎⋱⫍1117⫸⊐⪎⋱⫍1293)⋳⪒(-⪎⋱⫍2151)⪮%⊝(⪎⋱⫍5CB⫸⊐⪎⋱⫍1A73)","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":4959,"operation_count":15,"complexity_ratio":330.6,"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":1708,"base":13},"right_expr":{"type":"numeric_atoms","value":2907,"base":13}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":5849,"base":13},"right_expr":{"type":"numeric_atoms","value":1150,"base":13}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2384,"base":13},"right_expr":{"type":"numeric_atoms","value":2170,"base":13}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":3175,"base":13},"right_expr":{"type":"numeric_atoms","value":4349,"base":13}}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2193,"base":13},"right_expr":{"type":"numeric_atoms","value":1462,"base":13}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2386,"base":13},"right_expr":{"type":"numeric_atoms","value":2655,"base":13}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":4629,"base":13}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1012,"base":13},"right_expr":{"type":"numeric_atoms","value":3981,"base":13}}}}},"used_operators":["8HhzD0ZcuI","W4YGzv6Whe","mqXw5SEYmG","eewbuw0ToL","XhwjNDsVaA","rJVOvQCfKK","3ViojmjbAp","12rbrZMWeM","tifHPKVTfV","rysDP5nf3Z","IWmyXbctLI","t8gj7n24qd"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"⪎⋱⫍-4646115","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1708","layer":4},{"info":"number node, value=2907","layer":4},{"info":"compute binary expreesion, left_input=1708, right_input=2907, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-1189","layer":3},{"info":"number node, value=5849","layer":4},{"info":"number node, value=1150","layer":4},{"info":"compute binary expreesion, left_input=5849, right_input=1150, op_id = XhwjNDsVaA binary_op_definition= 'None', output=5","layer":3},{"info":"compute binary expreesion, left_input=-1189, 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=968","layer":2},{"info":"number node, value=2384","layer":4},{"info":"number node, value=2170","layer":4},{"info":"compute binary expreesion, left_input=2384, right_input=2170, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2173","layer":3},{"info":"number node, value=3175","layer":4},{"info":"number node, value=4349","layer":4},{"info":"compute binary expreesion, left_input=3175, right_input=4349, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=1714","layer":3},{"info":"compute binary expreesion, left_input=-2173, right_input=1714, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1714","layer":2},{"info":"compute binary expreesion, left_input=968, right_input=1714, op_id = W4YGzv6Whe binary_op_definition= 'None', output=2682","layer":1},{"info":"number node, value=2193","layer":4},{"info":"number node, value=1462","layer":4},{"info":"compute binary expreesion, left_input=2193, right_input=1462, op_id = rysDP5nf3Z binary_op_definition= 'None', output=731","layer":3},{"info":"number node, value=2386","layer":4},{"info":"number node, value=2655","layer":4},{"info":"compute binary expreesion, left_input=2386, right_input=2655, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=10495","layer":3},{"info":"compute binary expreesion, left_input=731, right_input=10495, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=9764","layer":2},{"info":"number node, value=4629","layer":4},{"info":"compute unary expreesion, input=4629, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-4629","layer":3},{"info":"number node, value=1012","layer":4},{"info":"number node, value=3981","layer":4},{"info":"compute binary expreesion, left_input=1012, 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=-4629, right_input=15799, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-8942","layer":2},{"info":"compute binary expreesion, left_input=9764, right_input=-8942, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=28183","layer":1},{"info":"compute binary expreesion, left_input=2682, right_input=28183, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-21662607","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍A15⨰⪎⋱⫍1428⫸⊐(⪎⋱⫍287C/⪎⋱⫍6A6)+⪎⋱⫍1115⨓⪎⋱⫍CAC⨎(⪎⋱⫍15A3⋳⪒⪎⋱⫍1C97))⨽((⪎⋱⫍CC9-⪎⋱⫍886)⇼⇔∾⪎⋱⫍1117⫸⊐⪎⋱⫍1293)⋳⪒(-⪎⋱⫍2151)⪮%⊝(⪎⋱⫍5CB⫸⊐⪎⋱⫍1A73)=⪎⋱⫍-4646115","reverse_text":"⪎⋱⫍-4646115=(⪎⋱⫍A15⨰⪎⋱⫍1428⫸⊐(⪎⋱⫍287C/⪎⋱⫍6A6)+⪎⋱⫍1115⨓⪎⋱⫍CAC⨎(⪎⋱⫍15A3⋳⪒⪎⋱⫍1C97))⨽((⪎⋱⫍CC9-⪎⋱⫍886)⇼⇔∾⪎⋱⫍1117⫸⊐⪎⋱⫍1293)⋳⪒(-⪎⋱⫍2151)⪮%⊝(⪎⋱⫍5CB⫸⊐⪎⋱⫍1A73)","cot":[{"info":"⪎⋱⫍A15⨰⪎⋱⫍1428=⪎⋱⫍-706","layer":3},{"info":"⪎⋱⫍287C/⪎⋱⫍6A6=⪎⋱⫍5","layer":3},{"info":"⪎⋱⫍-706⫸⊐⪎⋱⫍5=⪎⋱⫍596","layer":2},{"info":"⪎⋱⫍1115⨓⪎⋱⫍CAC=⪎⋱⫍-CB2","layer":3},{"info":"⪎⋱⫍15A3⋳⪒⪎⋱⫍1C97=⪎⋱⫍A1B","layer":3},{"info":"⪎⋱⫍-CB2⨎⪎⋱⫍A1B=⪎⋱⫍A1B","layer":2},{"info":"⪎⋱⫍596+⪎⋱⫍A1B=⪎⋱⫍12B4","layer":1},{"info":"⪎⋱⫍CC9-⪎⋱⫍886=⪎⋱⫍443","layer":3},{"info":"⪎⋱⫍1117⫸⊐⪎⋱⫍1293=⪎⋱⫍4A14","layer":3},{"info":"⪎⋱⫍443⇼⇔∾⪎⋱⫍4A14=⪎⋱⫍45A1","layer":2},{"info":"-⪎⋱⫍2151=⪎⋱⫍-2151","layer":3},{"info":"⪎⋱⫍5CB⫸⊐⪎⋱⫍1A73=⪎⋱⫍7264","layer":3},{"info":"⪎⋱⫍-2151⪮%⊝⪎⋱⫍7264=⪎⋱⫍-40BB","layer":2},{"info":"⪎⋱⫍45A1⋳⪒⪎⋱⫍-40BB=⪎⋱⫍CA9C","layer":1},{"info":"⪎⋱⫍12B4⨽⪎⋱⫍CA9C=⪎⋱⫍-4646115","layer":0}]}
{"id":622,"expression_no_base_symbol":"($2239$⪮%⊝$5113$⪨≂($1283$⨁⊸⫻)⫡⨏($1985$+⇶⊼$3241$⫡⨏$1578$⩚⊴⇥$6663$))⊉≛↸(($1144$⨽$2618$)⨎(⨞⊢$1800$)-($2969$↺$8741$)≧⫂∧($2707$⨎$5627$))","expression":"(⪎⋱⫍1033⪮%⊝⪎⋱⫍2434⪨≂(⪎⋱⫍779⨁⊸⫻)⫡⨏(⪎⋱⫍B99+⇶⊼⪎⋱⫍1624⫡⨏⪎⋱⫍945⩚⊴⇥⪎⋱⫍3057))⊉≛↸((⪎⋱⫍6A0⨽⪎⋱⫍1265)⨎(⨞⊢⪎⋱⫍A86)-(⪎⋱⫍1475↺⪎⋱⫍3C95)≧⫂∧(⪎⋱⫍1303⨎⪎⋱⫍273B))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1196,"operation_count":15,"complexity_ratio":79.73333333333333,"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":2239,"base":13},"right_expr":{"type":"numeric_atoms","value":5113,"base":13}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":1283,"base":13}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1985,"base":13},"right_expr":{"type":"numeric_atoms","value":3241,"base":13}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1578,"base":13},"right_expr":{"type":"numeric_atoms","value":6663,"base":13}}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1144,"base":13},"right_expr":{"type":"numeric_atoms","value":2618,"base":13}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":1800,"base":13}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2969,"base":13},"right_expr":{"type":"numeric_atoms","value":8741,"base":13}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2707,"base":13},"right_expr":{"type":"numeric_atoms","value":5627,"base":13}}}}},"used_operators":["DZ8iAZOCBD","QMFrweE19q","sdazOOVcIp","IWmyXbctLI","glklzrTFfD","TpPTUOHfaN","NTOWxs364D","rysDP5nf3Z","rJVOvQCfKK","8HhzD0ZcuI","xUOZtlo3hN","Ph9nP6C5qx","7j4O788W3g"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2239","layer":4},{"info":"number node, value=5113","layer":4},{"info":"compute binary expreesion, left_input=2239, right_input=5113, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=4794","layer":3},{"info":"number node, value=1283","layer":4},{"info":"compute unary expreesion, input=1283, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=1283","layer":3},{"info":"compute binary expreesion, left_input=4794, right_input=1283, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=7124","layer":2},{"info":"number node, value=1985","layer":4},{"info":"number node, value=3241","layer":4},{"info":"compute binary expreesion, left_input=1985, right_input=3241, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=1578","layer":4},{"info":"number node, value=6663","layer":4},{"info":"compute binary expreesion, left_input=1578, right_input=6663, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-8362","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-8362, op_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=7124, right_input=nan, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":1},{"info":"number node, value=1144","layer":4},{"info":"number node, value=2618","layer":4},{"info":"compute binary expreesion, left_input=1144, right_input=2618, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-3932748","layer":3},{"info":"number node, value=1800","layer":4},{"info":"compute unary expreesion, input=1800, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1974","layer":3},{"info":"compute binary expreesion, left_input=-3932748, right_input=-1974, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-1974","layer":2},{"info":"number node, value=2969","layer":4},{"info":"number node, value=8741","layer":4},{"info":"compute binary expreesion, left_input=2969, right_input=8741, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=8741","layer":3},{"info":"number node, value=2707","layer":4},{"info":"number node, value=5627","layer":4},{"info":"compute binary expreesion, left_input=2707, right_input=5627, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=5627","layer":3},{"info":"compute binary expreesion, left_input=8741, right_input=5627, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=5154","layer":2},{"info":"compute binary expreesion, left_input=-1974, right_input=5154, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-7128","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-7128, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍1033⪮%⊝⪎⋱⫍2434⪨≂(⪎⋱⫍779⨁⊸⫻)⫡⨏(⪎⋱⫍B99+⇶⊼⪎⋱⫍1624⫡⨏⪎⋱⫍945⩚⊴⇥⪎⋱⫍3057))⊉≛↸((⪎⋱⫍6A0⨽⪎⋱⫍1265)⨎(⨞⊢⪎⋱⫍A86)-(⪎⋱⫍1475↺⪎⋱⫍3C95)≧⫂∧(⪎⋱⫍1303⨎⪎⋱⫍273B))=NaN","reverse_text":"NaN=(⪎⋱⫍1033⪮%⊝⪎⋱⫍2434⪨≂(⪎⋱⫍779⨁⊸⫻)⫡⨏(⪎⋱⫍B99+⇶⊼⪎⋱⫍1624⫡⨏⪎⋱⫍945⩚⊴⇥⪎⋱⫍3057))⊉≛↸((⪎⋱⫍6A0⨽⪎⋱⫍1265)⨎(⨞⊢⪎⋱⫍A86)-(⪎⋱⫍1475↺⪎⋱⫍3C95)≧⫂∧(⪎⋱⫍1303⨎⪎⋱⫍273B))","cot":[{"info":"⪎⋱⫍1033⪮%⊝⪎⋱⫍2434=⪎⋱⫍224A","layer":3},{"info":"⪎⋱⫍779⨁⊸⫻=⪎⋱⫍779","layer":3},{"info":"⪎⋱⫍224A⪨≂⪎⋱⫍779=⪎⋱⫍3320","layer":2},{"info":"⪎⋱⫍B99+⇶⊼⪎⋱⫍1624=NaN","layer":3},{"info":"⪎⋱⫍945⩚⊴⇥⪎⋱⫍3057=⪎⋱⫍-3A63","layer":3},{"info":"NaN⫡⨏⪎⋱⫍-3A63=NaN","layer":2},{"info":"⪎⋱⫍3320⫡⨏NaN=NaN","layer":1},{"info":"⪎⋱⫍6A0⨽⪎⋱⫍1265=⪎⋱⫍-A79091","layer":3},{"info":"⨞⊢⪎⋱⫍A86=⪎⋱⫍-B8B","layer":3},{"info":"⪎⋱⫍-A79091⨎⪎⋱⫍-B8B=⪎⋱⫍-B8B","layer":2},{"info":"⪎⋱⫍1475↺⪎⋱⫍3C95=⪎⋱⫍3C95","layer":3},{"info":"⪎⋱⫍1303⨎⪎⋱⫍273B=⪎⋱⫍273B","layer":3},{"info":"⪎⋱⫍3C95≧⫂∧⪎⋱⫍273B=⪎⋱⫍2466","layer":2},{"info":"⪎⋱⫍-B8B-⪎⋱⫍2466=⪎⋱⫍-3324","layer":1},{"info":"NaN⊉≛↸⪎⋱⫍-3324=NaN","layer":0}]}
{"id":623,"expression_no_base_symbol":"(($1889$⪒$1265$)⪘⫢($1583$⨵⪆$1406$)≭($1446$*$4815$⪒$4580$⋓$1107$))≧⫂∧((⨵≀≌$1325$⫥∨⫟$1995$)⨐⩸⫘($3622$≭$4542$)⨰$3924$∼$1100$)","expression":"((⪎⋱⫍B24⪒⪎⋱⫍764)⪘⫢(⪎⋱⫍94A⨵⪆⪎⋱⫍842)≭(⪎⋱⫍873*⪎⋱⫍2265⪒⪎⋱⫍2114⋓⪎⋱⫍672))≧⫂∧((⨵≀≌⪎⋱⫍7AC⫥∨⫟⪎⋱⫍BA6)⨐⩸⫘(⪎⋱⫍1858≭⪎⋱⫍20B5)⨰⪎⋱⫍1A2B∼⪎⋱⫍668)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1720,"operation_count":14,"complexity_ratio":122.85714285714286,"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":1889,"base":13},"right_expr":{"type":"numeric_atoms","value":1265,"base":13}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1583,"base":13},"right_expr":{"type":"numeric_atoms","value":1406,"base":13}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1446,"base":13},"right_expr":{"type":"numeric_atoms","value":4815,"base":13}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":4580,"base":13},"right_expr":{"type":"numeric_atoms","value":1107,"base":13}}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1325,"base":13},"right_expr":{"type":"numeric_atoms","value":1995,"base":13}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":3622,"base":13},"right_expr":{"type":"numeric_atoms","value":4542,"base":13}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":3924,"base":13},"right_expr":{"type":"numeric_atoms","value":1100,"base":13}}}}},"used_operators":["Ph9nP6C5qx","rxpJgHHUmx","oacrs7FA3X","f6k1SAg4EE","2DQ55sFlQl","9HNa5Wba9A","T2fj7uvVaJ","fu6greOZ01","srAu1WTS94","KYD54nUTWz","eewbuw0ToL","DyGG3AbaNP"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","3ViojmjbAp","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1889","layer":4},{"info":"number node, value=1265","layer":4},{"info":"compute binary expreesion, left_input=1889, right_input=1265, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-3154","layer":3},{"info":"number node, value=1583","layer":4},{"info":"number node, value=1406","layer":4},{"info":"compute binary expreesion, left_input=1583, right_input=1406, 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=-3154, right_input=160, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=-1","layer":2},{"info":"number node, value=1446","layer":4},{"info":"number node, value=4815","layer":4},{"info":"compute binary expreesion, left_input=1446, right_input=4815, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=6962490","layer":3},{"info":"number node, value=4580","layer":4},{"info":"number node, value=1107","layer":4},{"info":"compute binary expreesion, left_input=4580, right_input=1107, op_id = T2fj7uvVaJ binary_op_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=6962490, right_input=0, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-6962490","layer":2},{"info":"compute binary expreesion, left_input=-1, right_input=-6962490, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=1325","layer":4},{"info":"number node, value=1995","layer":4},{"info":"compute binary expreesion, left_input=1325, right_input=1995, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=nan","layer":2},{"info":"number node, value=3622","layer":4},{"info":"number node, value=4542","layer":4},{"info":"compute binary expreesion, left_input=3622, right_input=4542, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=3924","layer":4},{"info":"number node, value=1100","layer":4},{"info":"compute binary expreesion, left_input=3924, right_input=1100, 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 = 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 = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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 = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍B24⪒⪎⋱⫍764)⪘⫢(⪎⋱⫍94A⨵⪆⪎⋱⫍842)≭(⪎⋱⫍873*⪎⋱⫍2265⪒⪎⋱⫍2114⋓⪎⋱⫍672))≧⫂∧((⨵≀≌⪎⋱⫍7AC⫥∨⫟⪎⋱⫍BA6)⨐⩸⫘(⪎⋱⫍1858≭⪎⋱⫍20B5)⨰⪎⋱⫍1A2B∼⪎⋱⫍668)=NaN","reverse_text":"NaN=((⪎⋱⫍B24⪒⪎⋱⫍764)⪘⫢(⪎⋱⫍94A⨵⪆⪎⋱⫍842)≭(⪎⋱⫍873*⪎⋱⫍2265⪒⪎⋱⫍2114⋓⪎⋱⫍672))≧⫂∧((⨵≀≌⪎⋱⫍7AC⫥∨⫟⪎⋱⫍BA6)⨐⩸⫘(⪎⋱⫍1858≭⪎⋱⫍20B5)⨰⪎⋱⫍1A2B∼⪎⋱⫍668)","cot":[{"info":"⪎⋱⫍B24⪒⪎⋱⫍764=⪎⋱⫍-1588","layer":3},{"info":"⪎⋱⫍94A⨵⪆⪎⋱⫍842=⪎⋱⫍C4","layer":3},{"info":"⪎⋱⫍-1588⪘⫢⪎⋱⫍C4=⪎⋱⫍-1","layer":2},{"info":"⪎⋱⫍873*⪎⋱⫍2265=⪎⋱⫍159A122","layer":3},{"info":"⪎⋱⫍2114⋓⪎⋱⫍672=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍159A122⪒⪎⋱⫍0=⪎⋱⫍-159A122","layer":2},{"info":"⪎⋱⫍-1≭⪎⋱⫍-159A122=NaN","layer":1},{"info":"⪎⋱⫍7AC⫥∨⫟⪎⋱⫍BA6=NaN","layer":3},{"info":"⨵≀≌NaN=NaN","layer":2},{"info":"⪎⋱⫍1858≭⪎⋱⫍20B5=NaN","layer":3},{"info":"⪎⋱⫍1A2B∼⪎⋱⫍668=NaN","layer":3},{"info":"NaN⨰NaN=NaN","layer":2},{"info":"NaN⨐⩸⫘NaN=NaN","layer":1},{"info":"NaN≧⫂∧NaN=NaN","layer":0}]}
{"id":624,"expression_no_base_symbol":"(($2530$-$2649$)+⇶⊼(↥$1405$))⋓(($2743$↪⪝)⫸⊐$3525$⨓$1772$)≭(⫛⫱⨽(≉$4424$↬$3800$))","expression":"((⪎⋱⫍11C8-⪎⋱⫍128A)+⇶⊼(↥⪎⋱⫍841))⋓((⪎⋱⫍1330↪⪝)⫸⊐⪎⋱⫍17B2⨓⪎⋱⫍A64)≭(⫛⫱⨽(≉⪎⋱⫍2024↬⪎⋱⫍1964))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":4290,"operation_count":11,"complexity_ratio":390.0,"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":2530,"base":13},"right_expr":{"type":"numeric_atoms","value":2649,"base":13}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":1405,"base":13}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":2743,"base":13}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":3525,"base":13},"right_expr":{"type":"numeric_atoms","value":1772,"base":13}}}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":4424,"base":13},"right_expr":{"type":"numeric_atoms","value":3800,"base":13}}}}},"used_operators":["rxpJgHHUmx","T2fj7uvVaJ","TpPTUOHfaN","rysDP5nf3Z","A8NUZmVepG","mqXw5SEYmG","l07mrZUIn9","3ViojmjbAp","DlLNRPXxWL","e1ybzncUwg","B5M0gjZbta"],"dependent_operators":["AHs5Up7iyr","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","AHs5Up7iyr","k8jYdgA6NY","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","9HNa5Wba9A","2DDjHMKMc0","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2530","layer":4},{"info":"number node, value=2649","layer":4},{"info":"compute binary expreesion, left_input=2530, right_input=2649, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-119","layer":3},{"info":"number node, value=1405","layer":4},{"info":"compute unary expreesion, input=1405, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=28","layer":3},{"info":"compute binary expreesion, left_input=-119, right_input=28, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=2743","layer":4},{"info":"compute unary expreesion, input=2743, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=167822226","layer":3},{"info":"number node, value=3525","layer":4},{"info":"number node, value=1772","layer":4},{"info":"compute binary expreesion, left_input=3525, right_input=1772, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1775","layer":3},{"info":"compute binary expreesion, left_input=167822226, right_input=-1775, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=-3679","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-3679, op_id = T2fj7uvVaJ binary_op_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=4424","layer":4},{"info":"number node, value=3800","layer":4},{"info":"compute binary expreesion, left_input=4424, right_input=3800, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; 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=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":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍11C8-⪎⋱⫍128A)+⇶⊼(↥⪎⋱⫍841))⋓((⪎⋱⫍1330↪⪝)⫸⊐⪎⋱⫍17B2⨓⪎⋱⫍A64)≭(⫛⫱⨽(≉⪎⋱⫍2024↬⪎⋱⫍1964))=NaN","reverse_text":"NaN=((⪎⋱⫍11C8-⪎⋱⫍128A)+⇶⊼(↥⪎⋱⫍841))⋓((⪎⋱⫍1330↪⪝)⫸⊐⪎⋱⫍17B2⨓⪎⋱⫍A64)≭(⫛⫱⨽(≉⪎⋱⫍2024↬⪎⋱⫍1964))","cot":[{"info":"⪎⋱⫍11C8-⪎⋱⫍128A=⪎⋱⫍-92","layer":3},{"info":"↥⪎⋱⫍841=⪎⋱⫍22","layer":3},{"info":"⪎⋱⫍-92+⇶⊼⪎⋱⫍22=NaN","layer":2},{"info":"⪎⋱⫍1330↪⪝=⪎⋱⫍289CBCC0","layer":3},{"info":"⪎⋱⫍17B2⨓⪎⋱⫍A64=⪎⋱⫍-A67","layer":3},{"info":"⪎⋱⫍289CBCC0⫸⊐⪎⋱⫍-A67=⪎⋱⫍-18A0","layer":2},{"info":"NaN⋓⪎⋱⫍-18A0=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍2024↬⪎⋱⫍1964=NaN","layer":3},{"info":"≉NaN=NaN","layer":2},{"info":"⫛⫱⨽NaN=NaN","layer":1},{"info":"⪎⋱⫍0≭NaN=NaN","layer":0}]}
{"id":625,"expression_no_base_symbol":"(((↥$1093$)⨸⪁$6529$⨽$2125$)⩚⊴⇥($1348$%$3127$)⪮%⊝($1481$∀⇚≩$1097$))⪘⫢(((⋗⩬⋾$4249$)⩨(↽≂$1423$))⊦⊿)","expression":"(((↥⪎⋱⫍661)⨸⪁⪎⋱⫍2C83⨽⪎⋱⫍C76)⩚⊴⇥(⪎⋱⫍7C9%⪎⋱⫍1567)⪮%⊝(⪎⋱⫍89C∀⇚≩⪎⋱⫍665))⪘⫢(((⋗⩬⋾⪎⋱⫍1C1B)⩨(↽≂⪎⋱⫍856))⊦⊿)","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":16967,"operation_count":12,"complexity_ratio":1413.9166666666667,"tree":{"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":13}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":6529,"base":13},"right_expr":{"type":"numeric_atoms","value":2125,"base":13}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1348,"base":13},"right_expr":{"type":"numeric_atoms","value":3127,"base":13}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1481,"base":13},"right_expr":{"type":"numeric_atoms","value":1097,"base":13}}}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":4249,"base":13}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":1423,"base":13}}}}},"used_operators":["oacrs7FA3X","NTOWxs364D","g55IO6H4Gj","A8NUZmVepG","8HhzD0ZcuI","IWmyXbctLI","k8jYdgA6NY","LRNGc0VcxI","14qkJME0vr","2DlMacCsIx","DpFCA1CohY","u6S6b8DprG"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","k8jYdgA6NY","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","X99M06cbEe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1093","layer":4},{"info":"compute unary expreesion, input=1093, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=22","layer":3},{"info":"number node, value=6529","layer":4},{"info":"number node, value=2125","layer":4},{"info":"compute binary expreesion, left_input=6529, right_input=2125, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-127888584","layer":3},{"info":"compute binary expreesion, left_input=22, right_input=-127888584, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-255777124","layer":2},{"info":"number node, value=1348","layer":4},{"info":"number node, value=3127","layer":4},{"info":"compute binary expreesion, left_input=1348, right_input=3127, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1348","layer":3},{"info":"number node, value=1481","layer":4},{"info":"number node, value=1097","layer":4},{"info":"compute binary expreesion, left_input=1481, right_input=1097, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=1348, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-255777124, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":1},{"info":"number node, value=4249","layer":4},{"info":"compute unary expreesion, input=4249, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-12747","layer":3},{"info":"number node, value=1423","layer":4},{"info":"compute unary expreesion, input=1423, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-2846","layer":3},{"info":"compute binary expreesion, left_input=-12747, right_input=-2846, 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 = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-79","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-79, 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":13,"result_base":13,"text":"(((↥⪎⋱⫍661)⨸⪁⪎⋱⫍2C83⨽⪎⋱⫍C76)⩚⊴⇥(⪎⋱⫍7C9%⪎⋱⫍1567)⪮%⊝(⪎⋱⫍89C∀⇚≩⪎⋱⫍665))⪘⫢(((⋗⩬⋾⪎⋱⫍1C1B)⩨(↽≂⪎⋱⫍856))⊦⊿)=NaN","reverse_text":"NaN=(((↥⪎⋱⫍661)⨸⪁⪎⋱⫍2C83⨽⪎⋱⫍C76)⩚⊴⇥(⪎⋱⫍7C9%⪎⋱⫍1567)⪮%⊝(⪎⋱⫍89C∀⇚≩⪎⋱⫍665))⪘⫢(((⋗⩬⋾⪎⋱⫍1C1B)⩨(↽≂⪎⋱⫍856))⊦⊿)","cot":[{"info":"↥⪎⋱⫍661=⪎⋱⫍19","layer":3},{"info":"⪎⋱⫍2C83⨽⪎⋱⫍C76=⪎⋱⫍-20659725","layer":3},{"info":"⪎⋱⫍19⨸⪁⪎⋱⫍-20659725=⪎⋱⫍-40CB6115","layer":2},{"info":"⪎⋱⫍7C9%⪎⋱⫍1567=⪎⋱⫍7C9","layer":3},{"info":"⪎⋱⫍89C∀⇚≩⪎⋱⫍665=NaN","layer":3},{"info":"⪎⋱⫍7C9⪮%⊝NaN=NaN","layer":2},{"info":"⪎⋱⫍-40CB6115⩚⊴⇥NaN=NaN","layer":1},{"info":"⋗⩬⋾⪎⋱⫍1C1B=⪎⋱⫍-5A57","layer":3},{"info":"↽≂⪎⋱⫍856=⪎⋱⫍-13AC","layer":3},{"info":"⪎⋱⫍-5A57⩨⪎⋱⫍-13AC=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍0⊦⊿=⪎⋱⫍-61","layer":1},{"info":"NaN⪘⫢⪎⋱⫍-61=NaN","layer":0}]}
{"id":626,"expression_no_base_symbol":"(((⨑⩽⪐$1129$)⨓($1789$⋫))⪢(($8630$⋷$1816$)⋓$5152$⪢$3268$))⪢((≤/$1081$↺$3943$)⪒(↔($3675$⋷$4293$)))","expression":"(((⨑⩽⪐⪎⋱⫍68B)⨓(⪎⋱⫍A78⋫))⪢((⪎⋱⫍3C0B⋷⪎⋱⫍A99)⋓⪎⋱⫍2464⪢⪎⋱⫍1645))⪢((≤/⪎⋱⫍652↺⪎⋱⫍1A44)⪒(↔(⪎⋱⫍1899⋷⪎⋱⫍1C53)))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":15147,"operation_count":13,"complexity_ratio":1165.1538461538462,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":1129,"base":13}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":1789,"base":13}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":8630,"base":13},"right_expr":{"type":"numeric_atoms","value":1816,"base":13}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":5152,"base":13},"right_expr":{"type":"numeric_atoms","value":3268,"base":13}}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1081,"base":13},"right_expr":{"type":"numeric_atoms","value":3943,"base":13}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":3675,"base":13},"right_expr":{"type":"numeric_atoms","value":4293,"base":13}}}}},"used_operators":["dWAJyo7jo9","3ViojmjbAp","AF7qkfDlqP","JL8yIekQnl","T2fj7uvVaJ","23Mk6UjR3U","f6k1SAg4EE","eLAdDNolq6","7j4O788W3g","ruOEQAzv1W"],"dependent_operators":["k8jYdgA6NY","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","tmPS8pqC7x","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1129","layer":4},{"info":"compute unary expreesion, input=1129, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-856","layer":3},{"info":"number node, value=1789","layer":4},{"info":"compute unary expreesion, input=1789, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=1789","layer":3},{"info":"compute binary expreesion, left_input=-856, right_input=1789, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1792","layer":2},{"info":"number node, value=8630","layer":4},{"info":"number node, value=1816","layer":4},{"info":"compute binary expreesion, left_input=8630, right_input=1816, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-4998","layer":3},{"info":"number node, value=5152","layer":4},{"info":"number node, value=3268","layer":4},{"info":"compute binary expreesion, left_input=5152, right_input=3268, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=-4998, 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=-1792, 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=1081","layer":4},{"info":"number node, value=3943","layer":4},{"info":"compute binary expreesion, left_input=1081, right_input=3943, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3943","layer":3},{"info":"compute unary expreesion, input=3943, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-3459","layer":2},{"info":"number node, value=3675","layer":4},{"info":"number node, value=4293","layer":4},{"info":"compute binary expreesion, left_input=3675, right_input=4293, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=4911","layer":3},{"info":"compute unary expreesion, input=4911, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-4638","layer":2},{"info":"compute binary expreesion, left_input=-3459, right_input=-4638, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=8097","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=8097, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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":13,"result_base":13,"text":"(((⨑⩽⪐⪎⋱⫍68B)⨓(⪎⋱⫍A78⋫))⪢((⪎⋱⫍3C0B⋷⪎⋱⫍A99)⋓⪎⋱⫍2464⪢⪎⋱⫍1645))⪢((≤/⪎⋱⫍652↺⪎⋱⫍1A44)⪒(↔(⪎⋱⫍1899⋷⪎⋱⫍1C53)))=NaN","reverse_text":"NaN=(((⨑⩽⪐⪎⋱⫍68B)⨓(⪎⋱⫍A78⋫))⪢((⪎⋱⫍3C0B⋷⪎⋱⫍A99)⋓⪎⋱⫍2464⪢⪎⋱⫍1645))⪢((≤/⪎⋱⫍652↺⪎⋱⫍1A44)⪒(↔(⪎⋱⫍1899⋷⪎⋱⫍1C53)))","cot":[{"info":"⨑⩽⪐⪎⋱⫍68B=⪎⋱⫍-50B","layer":3},{"info":"⪎⋱⫍A78⋫=⪎⋱⫍A78","layer":3},{"info":"⪎⋱⫍-50B⨓⪎⋱⫍A78=⪎⋱⫍-A7B","layer":2},{"info":"⪎⋱⫍3C0B⋷⪎⋱⫍A99=⪎⋱⫍-2376","layer":3},{"info":"⪎⋱⫍2464⪢⪎⋱⫍1645=NaN","layer":3},{"info":"⪎⋱⫍-2376⋓NaN=NaN","layer":2},{"info":"⪎⋱⫍-A7B⪢NaN=NaN","layer":1},{"info":"⪎⋱⫍652↺⪎⋱⫍1A44=⪎⋱⫍1A44","layer":3},{"info":"≤/⪎⋱⫍1A44=⪎⋱⫍-1761","layer":2},{"info":"⪎⋱⫍1899⋷⪎⋱⫍1C53=⪎⋱⫍230A","layer":3},{"info":"↔⪎⋱⫍230A=⪎⋱⫍-215A","layer":2},{"info":"⪎⋱⫍-1761⪒⪎⋱⫍-215A=⪎⋱⫍38BB","layer":1},{"info":"NaN⪢⪎⋱⫍38BB=NaN","layer":0}]}
{"id":627,"expression_no_base_symbol":"($1790$⋥≓≎$7582$↙$3176$⋳⪒$4180$+($6760$⊭↱$1106$)⪮%⊝($1356$⨽$2686$))⪛((($1111$⪨≂$3532$)⪒($5223$⨵⪆$3534$))⊉≛↸($2036$⨸⪁$2295$↛⩡⫤))","expression":"(⪎⋱⫍A79⋥≓≎⪎⋱⫍35B3↙⪎⋱⫍15A4⋳⪒⪎⋱⫍1B97+(⪎⋱⫍3100⊭↱⪎⋱⫍671)⪮%⊝(⪎⋱⫍804⨽⪎⋱⫍12B8))⪛(((⪎⋱⫍676⪨≂⪎⋱⫍17B9)⪒(⪎⋱⫍24BA⨵⪆⪎⋱⫍17BB))⊉≛↸(⪎⋱⫍C08⨸⪁⪎⋱⫍1077↛⩡⫤))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":29420,"operation_count":14,"complexity_ratio":2101.4285714285716,"tree":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1790,"base":13},"right_expr":{"type":"numeric_atoms","value":7582,"base":13}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":3176,"base":13},"right_expr":{"type":"numeric_atoms","value":4180,"base":13}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":6760,"base":13},"right_expr":{"type":"numeric_atoms","value":1106,"base":13}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1356,"base":13},"right_expr":{"type":"numeric_atoms","value":2686,"base":13}}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1111,"base":13},"right_expr":{"type":"numeric_atoms","value":3532,"base":13}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":5223,"base":13},"right_expr":{"type":"numeric_atoms","value":3534,"base":13}}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2036,"base":13},"right_expr":{"type":"numeric_atoms","value":2295,"base":13}}}}},"used_operators":["uFcxV4UQCh","W4YGzv6Whe","yyfyN0ffXY","Qy55tPpLXF","12rbrZMWeM","IWmyXbctLI","COABgblf1C","8HhzD0ZcuI","DZ8iAZOCBD","f6k1SAg4EE","sdazOOVcIp","2DQ55sFlQl","FU0Cs4j7VP","g55IO6H4Gj"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","W4YGzv6Whe"],"result":"⪎⋱⫍3C5B","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1790","layer":4},{"info":"number node, value=7582","layer":4},{"info":"compute binary expreesion, left_input=1790, right_input=7582, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=13407","layer":3},{"info":"number node, value=3176","layer":4},{"info":"number node, value=4180","layer":4},{"info":"compute binary expreesion, left_input=3176, right_input=4180, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=1885","layer":3},{"info":"compute binary expreesion, left_input=13407, right_input=1885, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-5655","layer":2},{"info":"number node, value=6760","layer":4},{"info":"number node, value=1106","layer":4},{"info":"compute binary expreesion, left_input=6760, right_input=1106, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-11303","layer":3},{"info":"number node, value=1356","layer":4},{"info":"number node, value=2686","layer":4},{"info":"compute binary expreesion, left_input=1356, right_input=2686, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-5522952","layer":3},{"info":"compute binary expreesion, left_input=-11303, right_input=-5522952, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-22290","layer":2},{"info":"compute binary expreesion, left_input=-5655, right_input=-22290, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-27945","layer":1},{"info":"number node, value=1111","layer":4},{"info":"number node, value=3532","layer":4},{"info":"compute binary expreesion, left_input=1111, right_input=3532, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-4740","layer":3},{"info":"number node, value=5223","layer":4},{"info":"number node, value=3534","layer":4},{"info":"compute binary expreesion, left_input=5223, right_input=3534, 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=-4740, right_input=160, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=4580","layer":2},{"info":"number node, value=2036","layer":4},{"info":"number node, value=2295","layer":4},{"info":"compute binary expreesion, left_input=2036, right_input=2295, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=8662","layer":3},{"info":"compute unary expreesion, input=8662, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-1304051","layer":2},{"info":"compute binary expreesion, left_input=4580, right_input=-1304051, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=9160","layer":1},{"info":"compute binary expreesion, left_input=-27945, right_input=9160, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=8695","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍A79⋥≓≎⪎⋱⫍35B3↙⪎⋱⫍15A4⋳⪒⪎⋱⫍1B97+(⪎⋱⫍3100⊭↱⪎⋱⫍671)⪮%⊝(⪎⋱⫍804⨽⪎⋱⫍12B8))⪛(((⪎⋱⫍676⪨≂⪎⋱⫍17B9)⪒(⪎⋱⫍24BA⨵⪆⪎⋱⫍17BB))⊉≛↸(⪎⋱⫍C08⨸⪁⪎⋱⫍1077↛⩡⫤))=⪎⋱⫍3C5B","reverse_text":"⪎⋱⫍3C5B=(⪎⋱⫍A79⋥≓≎⪎⋱⫍35B3↙⪎⋱⫍15A4⋳⪒⪎⋱⫍1B97+(⪎⋱⫍3100⊭↱⪎⋱⫍671)⪮%⊝(⪎⋱⫍804⨽⪎⋱⫍12B8))⪛(((⪎⋱⫍676⪨≂⪎⋱⫍17B9)⪒(⪎⋱⫍24BA⨵⪆⪎⋱⫍17BB))⊉≛↸(⪎⋱⫍C08⨸⪁⪎⋱⫍1077↛⩡⫤))","cot":[{"info":"⪎⋱⫍A79⋥≓≎⪎⋱⫍35B3=⪎⋱⫍6144","layer":3},{"info":"⪎⋱⫍15A4⋳⪒⪎⋱⫍1B97=⪎⋱⫍B20","layer":3},{"info":"⪎⋱⫍6144↙⪎⋱⫍B20=⪎⋱⫍-2760","layer":2},{"info":"⪎⋱⫍3100⊭↱⪎⋱⫍671=⪎⋱⫍-51B6","layer":3},{"info":"⪎⋱⫍804⨽⪎⋱⫍12B8=⪎⋱⫍-11B4B26","layer":3},{"info":"⪎⋱⫍-51B6⪮%⊝⪎⋱⫍-11B4B26=⪎⋱⫍-A1B8","layer":2},{"info":"⪎⋱⫍-2760+⪎⋱⫍-A1B8=⪎⋱⫍-C948","layer":1},{"info":"⪎⋱⫍676⪨≂⪎⋱⫍17B9=⪎⋱⫍-2208","layer":3},{"info":"⪎⋱⫍24BA⨵⪆⪎⋱⫍17BB=⪎⋱⫍C4","layer":3},{"info":"⪎⋱⫍-2208⪒⪎⋱⫍C4=⪎⋱⫍2114","layer":2},{"info":"⪎⋱⫍C08⨸⪁⪎⋱⫍1077=⪎⋱⫍3C34","layer":3},{"info":"⪎⋱⫍3C34↛⩡⫤=⪎⋱⫍-368738","layer":2},{"info":"⪎⋱⫍2114⊉≛↸⪎⋱⫍-368738=⪎⋱⫍4228","layer":1},{"info":"⪎⋱⫍-C948⪛⪎⋱⫍4228=⪎⋱⫍3C5B","layer":0}]}
{"id":628,"expression_no_base_symbol":"(∥⊫(≤/$2441$)⫥∨⫟(⨑⩽⪐$3029$))∀⇚≩(($2824$-$1625$)⨐⩸⫘$2916$⩷∴$3989$)≹⇙⪍($8522$⇷$1858$⪠⩆⊳)","expression":"(∥⊫(≤/⪎⋱⫍115A)⫥∨⫟(⨑⩽⪐⪎⋱⫍14C0))∀⇚≩((⪎⋱⫍1393-⪎⋱⫍980)⨐⩸⫘⪎⋱⫍1434⩷∴⪎⋱⫍1A7B)≹⇙⪍(⪎⋱⫍3B57⇷⪎⋱⫍ACC⪠⩆⊳)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":119492,"operation_count":11,"complexity_ratio":10862.90909090909,"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":2441,"base":13}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":3029,"base":13}}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2824,"base":13},"right_expr":{"type":"numeric_atoms","value":1625,"base":13}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2916,"base":13},"right_expr":{"type":"numeric_atoms","value":3989,"base":13}}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":8522,"base":13},"right_expr":{"type":"numeric_atoms","value":1858,"base":13}}}}},"used_operators":["LRNGc0VcxI","P8v4zCKN1o","KYD54nUTWz","eLAdDNolq6","AF7qkfDlqP","AHs5Up7iyr","fu6greOZ01","rysDP5nf3Z","9FxExcQeMw","JLbD19bQDL","mp7IySMOzn"],"dependent_operators":["X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","dWAJyo7jo9","3ViojmjbAp","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2441","layer":4},{"info":"compute unary expreesion, input=2441, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1957","layer":3},{"info":"number node, value=3029","layer":4},{"info":"compute unary expreesion, input=3029, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-2756","layer":3},{"info":"compute binary expreesion, left_input=-1957, right_input=-2756, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=nan","layer":1},{"info":"number node, value=2824","layer":4},{"info":"number node, value=1625","layer":4},{"info":"compute binary expreesion, left_input=2824, right_input=1625, op_id = rysDP5nf3Z binary_op_definition= 'None', output=1199","layer":3},{"info":"number node, value=2916","layer":4},{"info":"number node, value=3989","layer":4},{"info":"compute binary expreesion, left_input=2916, right_input=3989, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-2178","layer":3},{"info":"compute binary expreesion, left_input=1199, right_input=-2178, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=8522","layer":4},{"info":"number node, value=1858","layer":4},{"info":"compute binary expreesion, left_input=8522, right_input=1858, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3716","layer":3},{"info":"compute unary expreesion, input=3716, 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 = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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":13,"result_base":13,"text":"(∥⊫(≤/⪎⋱⫍115A)⫥∨⫟(⨑⩽⪐⪎⋱⫍14C0))∀⇚≩((⪎⋱⫍1393-⪎⋱⫍980)⨐⩸⫘⪎⋱⫍1434⩷∴⪎⋱⫍1A7B)≹⇙⪍(⪎⋱⫍3B57⇷⪎⋱⫍ACC⪠⩆⊳)=NaN","reverse_text":"NaN=(∥⊫(≤/⪎⋱⫍115A)⫥∨⫟(⨑⩽⪐⪎⋱⫍14C0))∀⇚≩((⪎⋱⫍1393-⪎⋱⫍980)⨐⩸⫘⪎⋱⫍1434⩷∴⪎⋱⫍1A7B)≹⇙⪍(⪎⋱⫍3B57⇷⪎⋱⫍ACC⪠⩆⊳)","cot":[{"info":"≤/⪎⋱⫍115A=⪎⋱⫍-B77","layer":3},{"info":"⨑⩽⪐⪎⋱⫍14C0=⪎⋱⫍-1340","layer":3},{"info":"⪎⋱⫍-B77⫥∨⫟⪎⋱⫍-1340=NaN","layer":2},{"info":"∥⊫NaN=NaN","layer":1},{"info":"⪎⋱⫍1393-⪎⋱⫍980=⪎⋱⫍713","layer":3},{"info":"⪎⋱⫍1434⩷∴⪎⋱⫍1A7B=⪎⋱⫍-CB7","layer":3},{"info":"⪎⋱⫍713⨐⩸⫘⪎⋱⫍-CB7=NaN","layer":2},{"info":"⪎⋱⫍3B57⇷⪎⋱⫍ACC=⪎⋱⫍18CB","layer":3},{"info":"⪎⋱⫍18CB⪠⩆⊳=⪎⋱⫍0","layer":2},{"info":"NaN≹⇙⪍⪎⋱⫍0=NaN","layer":1},{"info":"NaN∀⇚≩NaN=NaN","layer":0}]}
{"id":629,"expression_no_base_symbol":"(($1955$⋝⋈⪟$3190$⊠≄⫣)/($5840$⊭↱$1900$⫡⨏$5687$-$1047$))↺((⨵≀≌$4885$)⋝⋈⪟($2805$↺$2678$)-($3716$⋫)⨐⩸⫘$1135$⪢$1464$)","expression":"((⪎⋱⫍B75⋝⋈⪟⪎⋱⫍15B5⊠≄⫣)/(⪎⋱⫍2873⊭↱⪎⋱⫍B32⫡⨏⪎⋱⫍2786-⪎⋱⫍627))↺((⨵≀≌⪎⋱⫍22BA)⋝⋈⪟(⪎⋱⫍137A↺⪎⋱⫍12B0)-(⪎⋱⫍18CB⋫)⨐⩸⫘⪎⋱⫍694⪢⪎⋱⫍888)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":5213,"operation_count":14,"complexity_ratio":372.35714285714283,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1955,"base":13},"right_expr":{"type":"numeric_atoms","value":3190,"base":13}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":5840,"base":13},"right_expr":{"type":"numeric_atoms","value":1900,"base":13}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":5687,"base":13},"right_expr":{"type":"numeric_atoms","value":1047,"base":13}}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":4885,"base":13}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2805,"base":13},"right_expr":{"type":"numeric_atoms","value":2678,"base":13}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":3716,"base":13}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1135,"base":13},"right_expr":{"type":"numeric_atoms","value":1464,"base":13}}}}},"used_operators":["7j4O788W3g","XhwjNDsVaA","DIvbN7qnHd","2DDjHMKMc0","QMFrweE19q","COABgblf1C","rysDP5nf3Z","srAu1WTS94","fu6greOZ01","JL8yIekQnl","dWAJyo7jo9"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","3ViojmjbAp","tmPS8pqC7x","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1955","layer":4},{"info":"number node, value=3190","layer":4},{"info":"compute binary expreesion, left_input=1955, right_input=3190, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1955","layer":3},{"info":"compute unary expreesion, input=1955, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":2},{"info":"number node, value=5840","layer":4},{"info":"number node, value=1900","layer":4},{"info":"compute binary expreesion, left_input=5840, right_input=1900, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-7875","layer":3},{"info":"number node, value=5687","layer":4},{"info":"number node, value=1047","layer":4},{"info":"compute binary expreesion, left_input=5687, right_input=1047, op_id = rysDP5nf3Z binary_op_definition= 'None', output=4640","layer":3},{"info":"compute binary expreesion, left_input=-7875, right_input=4640, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=-29312","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-29312, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":1},{"info":"number node, value=4885","layer":4},{"info":"compute unary expreesion, input=4885, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-14655","layer":3},{"info":"number node, value=2805","layer":4},{"info":"number node, value=2678","layer":4},{"info":"compute binary expreesion, left_input=2805, right_input=2678, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2678","layer":3},{"info":"compute binary expreesion, left_input=-14655, right_input=2678, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-14655","layer":2},{"info":"number node, value=3716","layer":4},{"info":"compute unary expreesion, input=3716, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=3716","layer":3},{"info":"number node, value=1135","layer":4},{"info":"number node, value=1464","layer":4},{"info":"compute binary expreesion, left_input=1135, 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 binary expreesion, left_input=3716, 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=-14655, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍B75⋝⋈⪟⪎⋱⫍15B5⊠≄⫣)/(⪎⋱⫍2873⊭↱⪎⋱⫍B32⫡⨏⪎⋱⫍2786-⪎⋱⫍627))↺((⨵≀≌⪎⋱⫍22BA)⋝⋈⪟(⪎⋱⫍137A↺⪎⋱⫍12B0)-(⪎⋱⫍18CB⋫)⨐⩸⫘⪎⋱⫍694⪢⪎⋱⫍888)=NaN","reverse_text":"NaN=((⪎⋱⫍B75⋝⋈⪟⪎⋱⫍15B5⊠≄⫣)/(⪎⋱⫍2873⊭↱⪎⋱⫍B32⫡⨏⪎⋱⫍2786-⪎⋱⫍627))↺((⨵≀≌⪎⋱⫍22BA)⋝⋈⪟(⪎⋱⫍137A↺⪎⋱⫍12B0)-(⪎⋱⫍18CB⋫)⨐⩸⫘⪎⋱⫍694⪢⪎⋱⫍888)","cot":[{"info":"⪎⋱⫍B75⋝⋈⪟⪎⋱⫍15B5=⪎⋱⫍B75","layer":3},{"info":"⪎⋱⫍B75⊠≄⫣=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍2873⊭↱⪎⋱⫍B32=⪎⋱⫍-377A","layer":3},{"info":"⪎⋱⫍2786-⪎⋱⫍627=⪎⋱⫍215C","layer":3},{"info":"⪎⋱⫍-377A⫡⨏⪎⋱⫍215C=⪎⋱⫍-1045A","layer":2},{"info":"⪎⋱⫍0/⪎⋱⫍-1045A=⪎⋱⫍0","layer":1},{"info":"⨵≀≌⪎⋱⫍22BA=⪎⋱⫍-6894","layer":3},{"info":"⪎⋱⫍137A↺⪎⋱⫍12B0=⪎⋱⫍12B0","layer":3},{"info":"⪎⋱⫍-6894⋝⋈⪟⪎⋱⫍12B0=⪎⋱⫍-6894","layer":2},{"info":"⪎⋱⫍18CB⋫=⪎⋱⫍18CB","layer":3},{"info":"⪎⋱⫍694⪢⪎⋱⫍888=NaN","layer":3},{"info":"⪎⋱⫍18CB⨐⩸⫘NaN=NaN","layer":2},{"info":"⪎⋱⫍-6894-NaN=NaN","layer":1},{"info":"⪎⋱⫍0↺NaN=NaN","layer":0}]}
{"id":630,"expression_no_base_symbol":"((⋗⩬⋾$6233$)⊭↱$2757$⋳⪒$8311$⫡⨏(⪲⇎($1381$+$7298$)))↙(($5749$∲⫓$3491$)⨳⩥⨓($3308$⊘))⋝⋈⪟($7153$*$1126$⨸⪁$3658$⪘⫢$2671$)","expression":"((⋗⩬⋾⪎⋱⫍2AB6)⊭↱⪎⋱⫍1341⋳⪒⪎⋱⫍3A24⫡⨏(⪲⇎(⪎⋱⫍823+⪎⋱⫍3425)))↙((⪎⋱⫍2803∲⫓⪎⋱⫍1787)⨳⩥⨓(⪎⋱⫍1676⊘))⋝⋈⪟(⪎⋱⫍3343*⪎⋱⫍688⨸⪁⪎⋱⫍1885⪘⫢⪎⋱⫍12A6)","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1201,"operation_count":14,"complexity_ratio":85.78571428571429,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":6233,"base":13}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2757,"base":13},"right_expr":{"type":"numeric_atoms","value":8311,"base":13}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1381,"base":13},"right_expr":{"type":"numeric_atoms","value":7298,"base":13}}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":5749,"base":13},"right_expr":{"type":"numeric_atoms","value":3491,"base":13}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":3308,"base":13}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":7153,"base":13},"right_expr":{"type":"numeric_atoms","value":1126,"base":13}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":3658,"base":13},"right_expr":{"type":"numeric_atoms","value":2671,"base":13}}}}},"used_operators":["yyfyN0ffXY","QMFrweE19q","COABgblf1C","DpFCA1CohY","12rbrZMWeM","XPYlsWDdGa","W4YGzv6Whe","2DDjHMKMc0","nCS4ZIUYfx","i8ToyICDmI","gu96TGCTMs","g55IO6H4Gj","9HNa5Wba9A","oacrs7FA3X"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","W4YGzv6Whe","W4YGzv6Whe","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=6233","layer":4},{"info":"compute unary expreesion, input=6233, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-18699","layer":3},{"info":"number node, value=2757","layer":4},{"info":"number node, value=8311","layer":4},{"info":"compute binary expreesion, left_input=2757, right_input=8311, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-3084","layer":3},{"info":"compute binary expreesion, left_input=-18699, right_input=-3084, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=31235","layer":2},{"info":"number node, value=1381","layer":4},{"info":"number node, value=7298","layer":4},{"info":"compute binary expreesion, left_input=1381, right_input=7298, op_id = W4YGzv6Whe binary_op_definition= 'None', output=8679","layer":3},{"info":"compute unary expreesion, input=8679, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=17358","layer":2},{"info":"compute binary expreesion, left_input=31235, right_input=17358, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=191674","layer":1},{"info":"number node, value=5749","layer":4},{"info":"number node, value=3491","layer":4},{"info":"compute binary expreesion, left_input=5749, right_input=3491, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=3308","layer":4},{"info":"compute unary expreesion, input=3308, 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 = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=0","layer":2},{"info":"number node, value=7153","layer":4},{"info":"number node, value=1126","layer":4},{"info":"compute binary expreesion, left_input=7153, right_input=1126, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=8054278","layer":3},{"info":"number node, value=3658","layer":4},{"info":"number node, value=2671","layer":4},{"info":"compute binary expreesion, left_input=3658, right_input=2671, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=7192","layer":3},{"info":"compute binary expreesion, left_input=8054278, right_input=7192, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=16122940","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=16122940, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=191674, right_input=0, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=0","layer":0}],"base":13,"result_base":13,"text":"((⋗⩬⋾⪎⋱⫍2AB6)⊭↱⪎⋱⫍1341⋳⪒⪎⋱⫍3A24⫡⨏(⪲⇎(⪎⋱⫍823+⪎⋱⫍3425)))↙((⪎⋱⫍2803∲⫓⪎⋱⫍1787)⨳⩥⨓(⪎⋱⫍1676⊘))⋝⋈⪟(⪎⋱⫍3343*⪎⋱⫍688⨸⪁⪎⋱⫍1885⪘⫢⪎⋱⫍12A6)=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=((⋗⩬⋾⪎⋱⫍2AB6)⊭↱⪎⋱⫍1341⋳⪒⪎⋱⫍3A24⫡⨏(⪲⇎(⪎⋱⫍823+⪎⋱⫍3425)))↙((⪎⋱⫍2803∲⫓⪎⋱⫍1787)⨳⩥⨓(⪎⋱⫍1676⊘))⋝⋈⪟(⪎⋱⫍3343*⪎⋱⫍688⨸⪁⪎⋱⫍1885⪘⫢⪎⋱⫍12A6)","cot":[{"info":"⋗⩬⋾⪎⋱⫍2AB6=⪎⋱⫍-8685","layer":3},{"info":"⪎⋱⫍1341⋳⪒⪎⋱⫍3A24=⪎⋱⫍-1533","layer":3},{"info":"⪎⋱⫍-8685⊭↱⪎⋱⫍-1533=⪎⋱⫍112A9","layer":2},{"info":"⪎⋱⫍823+⪎⋱⫍3425=⪎⋱⫍3C48","layer":3},{"info":"⪲⇎⪎⋱⫍3C48=⪎⋱⫍7B93","layer":2},{"info":"⪎⋱⫍112A9⫡⨏⪎⋱⫍7B93=⪎⋱⫍69322","layer":1},{"info":"⪎⋱⫍2803∲⫓⪎⋱⫍1787=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍1676⊘=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍0⨳⩥⨓⪎⋱⫍0=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍3343*⪎⋱⫍688=⪎⋱⫍189005B","layer":3},{"info":"⪎⋱⫍1885⪘⫢⪎⋱⫍12A6=⪎⋱⫍3373","layer":3},{"info":"⪎⋱⫍189005B⨸⪁⪎⋱⫍3373=⪎⋱⫍3456802","layer":2},{"info":"⪎⋱⫍0⋝⋈⪟⪎⋱⫍3456802=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍69322↙⪎⋱⫍0=⪎⋱⫍0","layer":0}]}
{"id":631,"expression_no_base_symbol":"(($1135$+$1185$)*(⫛⫱⨽$2647$))⨟⋌⩍(⨰⫟⨤($3495$⋓$6830$))≧⫂∧(⨰⫟⨤(($1598$⫩⊇)↺($1835$⫡⨏$2155$)))","expression":"((⪎⋱⫍694+⪎⋱⫍702)*(⫛⫱⨽⪎⋱⫍1288))⨟⋌⩍(⨰⫟⨤(⪎⋱⫍178B⋓⪎⋱⫍3155))≧⫂∧(⨰⫟⨤((⪎⋱⫍95C⫩⊇)↺(⪎⋱⫍AB2⫡⨏⪎⋱⫍C9A)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":58576,"operation_count":11,"complexity_ratio":5325.090909090909,"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":1135,"base":13},"right_expr":{"type":"numeric_atoms","value":1185,"base":13}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":2647,"base":13}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":3495,"base":13},"right_expr":{"type":"numeric_atoms","value":6830,"base":13}}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":1598,"base":13}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1835,"base":13},"right_expr":{"type":"numeric_atoms","value":2155,"base":13}}}}},"used_operators":["Ph9nP6C5qx","rGHVDoGpnC","9HNa5Wba9A","W4YGzv6Whe","DlLNRPXxWL","Tw270M8GLb","T2fj7uvVaJ","7j4O788W3g","BjRHVeLaeN","QMFrweE19q"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","W4YGzv6Whe","rGHVDoGpnC","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1135","layer":4},{"info":"number node, value=1185","layer":4},{"info":"compute binary expreesion, left_input=1135, right_input=1185, op_id = W4YGzv6Whe binary_op_definition= 'None', output=2320","layer":3},{"info":"number node, value=2647","layer":4},{"info":"compute unary expreesion, input=2647, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=2320, right_input=0, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=0","layer":2},{"info":"number node, value=3495","layer":4},{"info":"number node, value=6830","layer":4},{"info":"compute binary expreesion, left_input=3495, right_input=6830, op_id = T2fj7uvVaJ binary_op_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 = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=4492662","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=4492662, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=1598","layer":4},{"info":"compute unary expreesion, input=1598, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-1556","layer":3},{"info":"number node, value=1835","layer":4},{"info":"number node, value=2155","layer":4},{"info":"compute binary expreesion, left_input=1835, right_input=2155, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=14268","layer":3},{"info":"compute binary expreesion, left_input=-1556, right_input=14268, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=14268","layer":2},{"info":"compute unary expreesion, input=14268, 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 = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍694+⪎⋱⫍702)*(⫛⫱⨽⪎⋱⫍1288))⨟⋌⩍(⨰⫟⨤(⪎⋱⫍178B⋓⪎⋱⫍3155))≧⫂∧(⨰⫟⨤((⪎⋱⫍95C⫩⊇)↺(⪎⋱⫍AB2⫡⨏⪎⋱⫍C9A)))=NaN","reverse_text":"NaN=((⪎⋱⫍694+⪎⋱⫍702)*(⫛⫱⨽⪎⋱⫍1288))⨟⋌⩍(⨰⫟⨤(⪎⋱⫍178B⋓⪎⋱⫍3155))≧⫂∧(⨰⫟⨤((⪎⋱⫍95C⫩⊇)↺(⪎⋱⫍AB2⫡⨏⪎⋱⫍C9A)))","cot":[{"info":"⪎⋱⫍694+⪎⋱⫍702=⪎⋱⫍1096","layer":3},{"info":"⫛⫱⨽⪎⋱⫍1288=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍1096*⪎⋱⫍0=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍178B⋓⪎⋱⫍3155=⪎⋱⫍0","layer":3},{"info":"⨰⫟⨤⪎⋱⫍0=⪎⋱⫍C13BA5","layer":2},{"info":"⪎⋱⫍0⨟⋌⩍⪎⋱⫍C13BA5=NaN","layer":1},{"info":"⪎⋱⫍95C⫩⊇=⪎⋱⫍-929","layer":3},{"info":"⪎⋱⫍AB2⫡⨏⪎⋱⫍C9A=⪎⋱⫍6657","layer":3},{"info":"⪎⋱⫍-929↺⪎⋱⫍6657=⪎⋱⫍6657","layer":2},{"info":"⨰⫟⨤⪎⋱⫍6657=NaN","layer":1},{"info":"NaN≧⫂∧NaN=NaN","layer":0}]}
{"id":632,"expression_no_base_symbol":"(∂(≦∁$4433$))⊭↱($1810$⪘⫢$1056$-(↽≂$1429$))%($1002$⨰$2599$⨰($1849$⋥≓≎$4797$))⪢(($4867$⪨≂$1819$)∑⇟⊟(⨑⩽⪐$7119$))","expression":"(∂(≦∁⪎⋱⫍2030))⊭↱(⪎⋱⫍A93⪘⫢⪎⋱⫍633-(↽≂⪎⋱⫍85C))%(⪎⋱⫍5C1⨰⪎⋱⫍124C⨰(⪎⋱⫍AC3⋥≓≎⪎⋱⫍2250))⪢((⪎⋱⫍22A5⪨≂⪎⋱⫍A9C)∑⇟⊟(⨑⩽⪐⪎⋱⫍3318))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":55,"operation_count":14,"complexity_ratio":3.9285714285714284,"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":4433,"base":13}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1810,"base":13},"right_expr":{"type":"numeric_atoms","value":1056,"base":13}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":1429,"base":13}}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1002,"base":13},"right_expr":{"type":"numeric_atoms","value":2599,"base":13}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1849,"base":13},"right_expr":{"type":"numeric_atoms","value":4797,"base":13}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":4867,"base":13},"right_expr":{"type":"numeric_atoms","value":1819,"base":13}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":7119,"base":13}}}}},"used_operators":["k8jYdgA6NY","COABgblf1C","Uaa54Peajs","9ICcGScMcE","rysDP5nf3Z","oacrs7FA3X","u6S6b8DprG","dWAJyo7jo9","eewbuw0ToL","Qy55tPpLXF","U7g4x0WXJJ","sdazOOVcIp","AF7qkfDlqP"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4433","layer":4},{"info":"compute unary expreesion, input=4433, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=4433","layer":3},{"info":"compute unary expreesion, input=4433, 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=1810","layer":4},{"info":"number node, value=1056","layer":4},{"info":"compute binary expreesion, left_input=1810, right_input=1056, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=3496","layer":3},{"info":"number node, value=1429","layer":4},{"info":"compute unary expreesion, input=1429, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-2858","layer":3},{"info":"compute binary expreesion, left_input=3496, right_input=-2858, op_id = rysDP5nf3Z binary_op_definition= 'None', output=6354","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=6354, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":1},{"info":"number node, value=1002","layer":4},{"info":"number node, value=2599","layer":4},{"info":"compute binary expreesion, left_input=1002, right_input=2599, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-1587","layer":3},{"info":"number node, value=1849","layer":4},{"info":"number node, value=4797","layer":4},{"info":"compute binary expreesion, left_input=1849, right_input=4797, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=7778","layer":3},{"info":"compute binary expreesion, left_input=-1587, right_input=7778, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-9355","layer":2},{"info":"number node, value=4867","layer":4},{"info":"number node, value=1819","layer":4},{"info":"compute binary expreesion, left_input=4867, right_input=1819, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=6198","layer":3},{"info":"number node, value=7119","layer":4},{"info":"compute unary expreesion, input=7119, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-6846","layer":3},{"info":"compute binary expreesion, left_input=6198, right_input=-6846, 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=-9355, 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 = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":0}],"base":13,"result_base":13,"text":"(∂(≦∁⪎⋱⫍2030))⊭↱(⪎⋱⫍A93⪘⫢⪎⋱⫍633-(↽≂⪎⋱⫍85C))%(⪎⋱⫍5C1⨰⪎⋱⫍124C⨰(⪎⋱⫍AC3⋥≓≎⪎⋱⫍2250))⪢((⪎⋱⫍22A5⪨≂⪎⋱⫍A9C)∑⇟⊟(⨑⩽⪐⪎⋱⫍3318))=NaN","reverse_text":"NaN=(∂(≦∁⪎⋱⫍2030))⊭↱(⪎⋱⫍A93⪘⫢⪎⋱⫍633-(↽≂⪎⋱⫍85C))%(⪎⋱⫍5C1⨰⪎⋱⫍124C⨰(⪎⋱⫍AC3⋥≓≎⪎⋱⫍2250))⪢((⪎⋱⫍22A5⪨≂⪎⋱⫍A9C)∑⇟⊟(⨑⩽⪐⪎⋱⫍3318))","cot":[{"info":"≦∁⪎⋱⫍2030=⪎⋱⫍2030","layer":3},{"info":"∂⪎⋱⫍2030=NaN","layer":2},{"info":"⪎⋱⫍A93⪘⫢⪎⋱⫍633=⪎⋱⫍178C","layer":3},{"info":"↽≂⪎⋱⫍85C=⪎⋱⫍-13BB","layer":3},{"info":"⪎⋱⫍178C-⪎⋱⫍-13BB=⪎⋱⫍2B7A","layer":2},{"info":"NaN⊭↱⪎⋱⫍2B7A=NaN","layer":1},{"info":"⪎⋱⫍5C1⨰⪎⋱⫍124C=⪎⋱⫍-951","layer":3},{"info":"⪎⋱⫍AC3⋥≓≎⪎⋱⫍2250=⪎⋱⫍3704","layer":3},{"info":"⪎⋱⫍-951⨰⪎⋱⫍3704=⪎⋱⫍-4348","layer":2},{"info":"⪎⋱⫍22A5⪨≂⪎⋱⫍A9C=⪎⋱⫍2A8A","layer":3},{"info":"⨑⩽⪐⪎⋱⫍3318=⪎⋱⫍-3168","layer":3},{"info":"⪎⋱⫍2A8A∑⇟⊟⪎⋱⫍-3168=NaN","layer":2},{"info":"⪎⋱⫍-4348⪢NaN=NaN","layer":1},{"info":"NaN%NaN=NaN","layer":0}]}
{"id":633,"expression_no_base_symbol":"(⪲⇎($3953$∑⇟⊟$1130$≋⫹))⨽((⨰⫟⨤$5399$)⫸⊐(⊙↵-$6129$))⋳⪒(($5909$/$2728$)⪒$1885$%$8503$)","expression":"(⪲⇎(⪎⋱⫍1A51∑⇟⊟⪎⋱⫍68C≋⫹))⨽((⨰⫟⨤⪎⋱⫍25C4)⫸⊐(⊙↵-⪎⋱⫍2A36))⋳⪒((⪎⋱⫍28C7/⪎⋱⫍131B)⪒⪎⋱⫍B20%⪎⋱⫍3B41)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":26964,"operation_count":11,"complexity_ratio":2451.2727272727275,"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":3953,"base":13},"right_expr":{"type":"numeric_atoms","value":1130,"base":13}}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":5399,"base":13}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":6129,"base":13}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":5909,"base":13},"right_expr":{"type":"numeric_atoms","value":2728,"base":13}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1885,"base":13},"right_expr":{"type":"numeric_atoms","value":8503,"base":13}}}}},"used_operators":["8HhzD0ZcuI","XPYlsWDdGa","N41Kp7NANJ","U7g4x0WXJJ","12rbrZMWeM","mqXw5SEYmG","Tw270M8GLb","oWn0xqSxBt","f6k1SAg4EE","XhwjNDsVaA","k8jYdgA6NY"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3953","layer":4},{"info":"number node, value=1130","layer":4},{"info":"compute binary expreesion, left_input=3953, right_input=1130, 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 = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=nan","layer":1},{"info":"number node, value=5399","layer":4},{"info":"compute unary expreesion, input=5399, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=6129","layer":4},{"info":"compute unary expreesion, input=6129, 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 = 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=5909","layer":4},{"info":"number node, value=2728","layer":4},{"info":"compute binary expreesion, left_input=5909, right_input=2728, op_id = XhwjNDsVaA binary_op_definition= 'None', output=2","layer":3},{"info":"number node, value=1885","layer":4},{"info":"number node, value=8503","layer":4},{"info":"compute binary expreesion, left_input=1885, right_input=8503, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1885","layer":3},{"info":"compute binary expreesion, left_input=2, right_input=1885, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-1887","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1887, 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 = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪲⇎(⪎⋱⫍1A51∑⇟⊟⪎⋱⫍68C≋⫹))⨽((⨰⫟⨤⪎⋱⫍25C4)⫸⊐(⊙↵-⪎⋱⫍2A36))⋳⪒((⪎⋱⫍28C7/⪎⋱⫍131B)⪒⪎⋱⫍B20%⪎⋱⫍3B41)=NaN","reverse_text":"NaN=(⪲⇎(⪎⋱⫍1A51∑⇟⊟⪎⋱⫍68C≋⫹))⨽((⨰⫟⨤⪎⋱⫍25C4)⫸⊐(⊙↵-⪎⋱⫍2A36))⋳⪒((⪎⋱⫍28C7/⪎⋱⫍131B)⪒⪎⋱⫍B20%⪎⋱⫍3B41)","cot":[{"info":"⪎⋱⫍1A51∑⇟⊟⪎⋱⫍68C=NaN","layer":3},{"info":"NaN≋⫹=NaN","layer":2},{"info":"⪲⇎NaN=NaN","layer":1},{"info":"⨰⫟⨤⪎⋱⫍25C4=NaN","layer":3},{"info":"⊙↵-⪎⋱⫍2A36=⪎⋱⫍-1","layer":3},{"info":"NaN⫸⊐⪎⋱⫍-1=NaN","layer":2},{"info":"⪎⋱⫍28C7/⪎⋱⫍131B=⪎⋱⫍2","layer":3},{"info":"⪎⋱⫍B20%⪎⋱⫍3B41=⪎⋱⫍B20","layer":3},{"info":"⪎⋱⫍2⪒⪎⋱⫍B20=⪎⋱⫍-B22","layer":2},{"info":"NaN⋳⪒⪎⋱⫍-B22=NaN","layer":1},{"info":"NaN⨽NaN=NaN","layer":0}]}
{"id":634,"expression_no_base_symbol":"((+⊝⨔(⋗⩬⋾$1371$))/$2170$⇷$4313$⫸⊐$1143$⪮%⊝$1017$)⋝⋈⪟($3737$⨽$1020$⊉≛↸(⨑⩽⪐$1878$)⨸⪁(⨞⊢($6835$↪⪝)))","expression":"((+⊝⨔(⋗⩬⋾⪎⋱⫍816))/⪎⋱⫍CAC⇷⪎⋱⫍1C6A⫸⊐⪎⋱⫍69C⪮%⊝⪎⋱⫍603)⋝⋈⪟(⪎⋱⫍1916⨽⪎⋱⫍606⊉≛↸(⨑⩽⪐⪎⋱⫍B16)⨸⪁(⨞⊢(⪎⋱⫍315A↪⪝)))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":34905,"operation_count":13,"complexity_ratio":2685.0,"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":1371,"base":13}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2170,"base":13},"right_expr":{"type":"numeric_atoms","value":4313,"base":13}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1143,"base":13},"right_expr":{"type":"numeric_atoms","value":1017,"base":13}}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":3737,"base":13},"right_expr":{"type":"numeric_atoms","value":1020,"base":13}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":1878,"base":13}}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":6835,"base":13}}}}},"used_operators":["2DDjHMKMc0","XhwjNDsVaA","DhbWaqg5eL","DpFCA1CohY","mqXw5SEYmG","mp7IySMOzn","IWmyXbctLI","g55IO6H4Gj","DZ8iAZOCBD","8HhzD0ZcuI","AF7qkfDlqP","xUOZtlo3hN","l07mrZUIn9"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","2DDjHMKMc0"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1371","layer":4},{"info":"compute unary expreesion, input=1371, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-4113","layer":3},{"info":"compute unary expreesion, input=-4113, 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=2170","layer":4},{"info":"number node, value=4313","layer":4},{"info":"compute binary expreesion, left_input=2170, right_input=4313, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=8626","layer":3},{"info":"number node, value=1143","layer":4},{"info":"number node, value=1017","layer":4},{"info":"compute binary expreesion, left_input=1143, right_input=1017, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=2602","layer":3},{"info":"compute binary expreesion, left_input=8626, right_input=2602, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=10283","layer":2},{"info":"compute binary expreesion, left_input=1522, right_input=10283, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":1},{"info":"number node, value=3737","layer":4},{"info":"number node, value=1020","layer":4},{"info":"compute binary expreesion, left_input=3737, right_input=1020, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-41897253","layer":3},{"info":"number node, value=1878","layer":4},{"info":"compute unary expreesion, input=1878, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-1605","layer":3},{"info":"compute binary expreesion, left_input=-41897253, right_input=-1605, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=1605","layer":2},{"info":"number node, value=6835","layer":4},{"info":"compute unary expreesion, input=6835, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=418178970","layer":3},{"info":"compute unary expreesion, input=418178970, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-418179144","layer":2},{"info":"compute binary expreesion, left_input=1605, right_input=-418179144, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-836355078","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-836355078, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=0","layer":0}],"base":13,"result_base":13,"text":"((+⊝⨔(⋗⩬⋾⪎⋱⫍816))/⪎⋱⫍CAC⇷⪎⋱⫍1C6A⫸⊐⪎⋱⫍69C⪮%⊝⪎⋱⫍603)⋝⋈⪟(⪎⋱⫍1916⨽⪎⋱⫍606⊉≛↸(⨑⩽⪐⪎⋱⫍B16)⨸⪁(⨞⊢(⪎⋱⫍315A↪⪝)))=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=((+⊝⨔(⋗⩬⋾⪎⋱⫍816))/⪎⋱⫍CAC⇷⪎⋱⫍1C6A⫸⊐⪎⋱⫍69C⪮%⊝⪎⋱⫍603)⋝⋈⪟(⪎⋱⫍1916⨽⪎⋱⫍606⊉≛↸(⨑⩽⪐⪎⋱⫍B16)⨸⪁(⨞⊢(⪎⋱⫍315A↪⪝)))","cot":[{"info":"⋗⩬⋾⪎⋱⫍816=⪎⋱⫍-1B45","layer":3},{"info":"+⊝⨔⪎⋱⫍-1B45=⪎⋱⫍901","layer":2},{"info":"⪎⋱⫍CAC⇷⪎⋱⫍1C6A=⪎⋱⫍3C07","layer":3},{"info":"⪎⋱⫍69C⪮%⊝⪎⋱⫍603=⪎⋱⫍1252","layer":3},{"info":"⪎⋱⫍3C07⫸⊐⪎⋱⫍1252=⪎⋱⫍48B0","layer":2},{"info":"⪎⋱⫍901/⪎⋱⫍48B0=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍1916⨽⪎⋱⫍606=⪎⋱⫍-88AC298","layer":3},{"info":"⨑⩽⪐⪎⋱⫍B16=⪎⋱⫍-966","layer":3},{"info":"⪎⋱⫍-88AC298⊉≛↸⪎⋱⫍-966=⪎⋱⫍966","layer":2},{"info":"⪎⋱⫍315A↪⪝=⪎⋱⫍68837BA1","layer":3},{"info":"⨞⊢⪎⋱⫍68837BA1=⪎⋱⫍-68837CA6","layer":2},{"info":"⪎⋱⫍966⨸⪁⪎⋱⫍-68837CA6=⪎⋱⫍-104371680","layer":1},{"info":"⪎⋱⫍0⋝⋈⪟⪎⋱⫍-104371680=⪎⋱⫍0","layer":0}]}
{"id":635,"expression_no_base_symbol":"($1854$⨪↰⇹$5668$)⇷($1939$↺$1517$)⋥≓≎($2577$⊉≛↸$1043$)⇷($6760$⇋≉)⪄($3212$⨽$1052$/($3070$⊭∹↮))⪄($1078$⫥∨⫟$3930$)⨟⋌⩍($2334$+$1898$)","expression":"(⪎⋱⫍AC8⨪↰⇹⪎⋱⫍2770)⇷(⪎⋱⫍B62↺⪎⋱⫍8C9)⋥≓≎(⪎⋱⫍1233⊉≛↸⪎⋱⫍623)⇷(⪎⋱⫍3100⇋≉)⪄(⪎⋱⫍1601⨽⪎⋱⫍62C/(⪎⋱⫍1522⊭∹↮))⪄(⪎⋱⫍64C⫥∨⫟⪎⋱⫍1A34)⨟⋌⩍(⪎⋱⫍10A7+⪎⋱⫍B30)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":108600,"operation_count":15,"complexity_ratio":7240.0,"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":1854,"base":13},"right_expr":{"type":"numeric_atoms","value":5668,"base":13}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1939,"base":13},"right_expr":{"type":"numeric_atoms","value":1517,"base":13}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2577,"base":13},"right_expr":{"type":"numeric_atoms","value":1043,"base":13}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":6760,"base":13}}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":3212,"base":13},"right_expr":{"type":"numeric_atoms","value":1052,"base":13}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":3070,"base":13}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1078,"base":13},"right_expr":{"type":"numeric_atoms","value":3930,"base":13}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2334,"base":13},"right_expr":{"type":"numeric_atoms","value":1898,"base":13}}}}},"used_operators":["SUmda5xLS4","Qy55tPpLXF","mp7IySMOzn","tmPS8pqC7x","7j4O788W3g","DZ8iAZOCBD","XIabStNQrY","XhwjNDsVaA","8HhzD0ZcuI","xNBdhnnwKq","rGHVDoGpnC","KYD54nUTWz","W4YGzv6Whe"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","Tcnh7f0tEr","8HhzD0ZcuI","rGHVDoGpnC"],"result":"⪎⋱⫍-1730C86","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1854","layer":4},{"info":"number node, value=5668","layer":4},{"info":"compute binary expreesion, left_input=1854, right_input=5668, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1854","layer":3},{"info":"number node, value=1939","layer":4},{"info":"number node, value=1517","layer":4},{"info":"compute binary expreesion, left_input=1939, right_input=1517, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1517","layer":3},{"info":"compute binary expreesion, left_input=1854, right_input=1517, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3034","layer":2},{"info":"number node, value=2577","layer":4},{"info":"number node, value=1043","layer":4},{"info":"compute binary expreesion, left_input=2577, right_input=1043, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=5154","layer":3},{"info":"number node, value=6760","layer":4},{"info":"compute unary expreesion, input=6760, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=13422","layer":3},{"info":"compute binary expreesion, left_input=5154, right_input=13422, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=26844","layer":2},{"info":"compute binary expreesion, left_input=3034, right_input=26844, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=50687","layer":1},{"info":"number node, value=3212","layer":4},{"info":"number node, value=1052","layer":4},{"info":"compute binary expreesion, left_input=3212, right_input=1052, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-30952674","layer":3},{"info":"number node, value=3070","layer":4},{"info":"compute unary expreesion, input=3070, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=6140","layer":3},{"info":"compute binary expreesion, left_input=-30952674, right_input=6140, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-5042","layer":2},{"info":"number node, value=1078","layer":4},{"info":"number node, value=3930","layer":4},{"info":"compute binary expreesion, left_input=1078, right_input=3930, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=2334","layer":4},{"info":"number node, value=1898","layer":4},{"info":"compute binary expreesion, left_input=2334, right_input=1898, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4232","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4232, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=-5042, 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=50687, right_input=3979, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-7513681","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍AC8⨪↰⇹⪎⋱⫍2770)⇷(⪎⋱⫍B62↺⪎⋱⫍8C9)⋥≓≎(⪎⋱⫍1233⊉≛↸⪎⋱⫍623)⇷(⪎⋱⫍3100⇋≉)⪄(⪎⋱⫍1601⨽⪎⋱⫍62C/(⪎⋱⫍1522⊭∹↮))⪄(⪎⋱⫍64C⫥∨⫟⪎⋱⫍1A34)⨟⋌⩍(⪎⋱⫍10A7+⪎⋱⫍B30)=⪎⋱⫍-1730C86","reverse_text":"⪎⋱⫍-1730C86=(⪎⋱⫍AC8⨪↰⇹⪎⋱⫍2770)⇷(⪎⋱⫍B62↺⪎⋱⫍8C9)⋥≓≎(⪎⋱⫍1233⊉≛↸⪎⋱⫍623)⇷(⪎⋱⫍3100⇋≉)⪄(⪎⋱⫍1601⨽⪎⋱⫍62C/(⪎⋱⫍1522⊭∹↮))⪄(⪎⋱⫍64C⫥∨⫟⪎⋱⫍1A34)⨟⋌⩍(⪎⋱⫍10A7+⪎⋱⫍B30)","cot":[{"info":"⪎⋱⫍AC8⨪↰⇹⪎⋱⫍2770=⪎⋱⫍AC8","layer":3},{"info":"⪎⋱⫍B62↺⪎⋱⫍8C9=⪎⋱⫍8C9","layer":3},{"info":"⪎⋱⫍AC8⇷⪎⋱⫍8C9=⪎⋱⫍14C5","layer":2},{"info":"⪎⋱⫍1233⊉≛↸⪎⋱⫍623=⪎⋱⫍2466","layer":3},{"info":"⪎⋱⫍3100⇋≉=⪎⋱⫍6156","layer":3},{"info":"⪎⋱⫍2466⇷⪎⋱⫍6156=⪎⋱⫍C2AC","layer":2},{"info":"⪎⋱⫍14C5⋥≓≎⪎⋱⫍C2AC=⪎⋱⫍1A0C0","layer":1},{"info":"⪎⋱⫍1601⨽⪎⋱⫍62C=⪎⋱⫍-65497BC","layer":3},{"info":"⪎⋱⫍1522⊭∹↮=⪎⋱⫍2A44","layer":3},{"info":"⪎⋱⫍-65497BC/⪎⋱⫍2A44=⪎⋱⫍-23AB","layer":2},{"info":"⪎⋱⫍64C⫥∨⫟⪎⋱⫍1A34=NaN","layer":3},{"info":"⪎⋱⫍10A7+⪎⋱⫍B30=⪎⋱⫍1C07","layer":3},{"info":"NaN⨟⋌⩍⪎⋱⫍1C07=NaN","layer":2},{"info":"⪎⋱⫍-23AB⪄NaN=⪎⋱⫍1A71","layer":1},{"info":"⪎⋱⫍1A0C0⪄⪎⋱⫍1A71=⪎⋱⫍-1730C86","layer":0}]}
{"id":636,"expression_no_base_symbol":"(($1040$⊦⊿)⩷∴(⊄⩳↩$4995$))↬($1074$*$5777$↛⩡⫤)⩤","expression":"((⪎⋱⫍620⊦⊿)⩷∴(⊄⩳↩⪎⋱⫍2373))↬(⪎⋱⫍648*⪎⋱⫍2825↛⩡⫤)⩤","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":1155,"operation_count":7,"complexity_ratio":165.0,"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":1040,"base":13}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":4995,"base":13}}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1074,"base":13},"right_expr":{"type":"numeric_atoms","value":5777,"base":13}}}}},"used_operators":["Z2TMIBDE3Q","B5M0gjZbta","9FxExcQeMw","14qkJME0vr","8w2t5hMYqp","FU0Cs4j7VP","9HNa5Wba9A"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1040","layer":4},{"info":"compute unary expreesion, input=1040, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-3199","layer":3},{"info":"number node, value=4995","layer":4},{"info":"compute unary expreesion, input=4995, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-14985","layer":3},{"info":"compute binary expreesion, left_input=-3199, right_input=-14985, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=23540","layer":2},{"info":"number node, value=1074","layer":4},{"info":"number node, value=5777","layer":4},{"info":"compute binary expreesion, left_input=1074, right_input=5777, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=6204498","layer":3},{"info":"compute unary expreesion, input=6204498, 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=23540, 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 = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍620⊦⊿)⩷∴(⊄⩳↩⪎⋱⫍2373))↬(⪎⋱⫍648*⪎⋱⫍2825↛⩡⫤)⩤=NaN","reverse_text":"NaN=((⪎⋱⫍620⊦⊿)⩷∴(⊄⩳↩⪎⋱⫍2373))↬(⪎⋱⫍648*⪎⋱⫍2825↛⩡⫤)⩤","cot":[{"info":"⪎⋱⫍620⊦⊿=⪎⋱⫍-15C1","layer":3},{"info":"⊄⩳↩⪎⋱⫍2373=⪎⋱⫍-6A89","layer":3},{"info":"⪎⋱⫍-15C1⩷∴⪎⋱⫍-6A89=⪎⋱⫍A93A","layer":2},{"info":"⪎⋱⫍648*⪎⋱⫍2825=⪎⋱⫍1393101","layer":3},{"info":"⪎⋱⫍1393101↛⩡⫤=NaN","layer":2},{"info":"⪎⋱⫍A93A↬NaN=NaN","layer":1},{"info":"NaN⩤=NaN","layer":0}]}
{"id":637,"expression_no_base_symbol":"($3444$⪄$1150$⩨$3017$∀⇚≩$7146$)⨎($3660$⊉≛↸$1863$)⨪↰⇹($2376$≎⊠⪸$1263$)⪄(($1298$≫≃)+⇶⊼($5707$⊭∹↮))⪮%⊝($2104$⇷$1112$⨎($2423$*$1521$))","expression":"(⪎⋱⫍174C⪄⪎⋱⫍6A6⩨⪎⋱⫍14B1∀⇚≩⪎⋱⫍3339)⨎(⪎⋱⫍1887⊉≛↸⪎⋱⫍B04)⨪↰⇹(⪎⋱⫍110A≎⊠⪸⪎⋱⫍762)⪄((⪎⋱⫍78B≫≃)+⇶⊼(⪎⋱⫍27A0⊭∹↮))⪮%⊝(⪎⋱⫍C5B⇷⪎⋱⫍677⨎(⪎⋱⫍1145*⪎⋱⫍900))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":59912,"operation_count":15,"complexity_ratio":3994.133333333333,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":3444,"base":13},"right_expr":{"type":"numeric_atoms","value":1150,"base":13}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":3017,"base":13},"right_expr":{"type":"numeric_atoms","value":7146,"base":13}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":3660,"base":13},"right_expr":{"type":"numeric_atoms","value":1863,"base":13}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2376,"base":13},"right_expr":{"type":"numeric_atoms","value":1263,"base":13}}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":1298,"base":13}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":5707,"base":13}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2104,"base":13},"right_expr":{"type":"numeric_atoms","value":1112,"base":13}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2423,"base":13},"right_expr":{"type":"numeric_atoms","value":1521,"base":13}}}}},"used_operators":["SUmda5xLS4","rJVOvQCfKK","2DlMacCsIx","LRNGc0VcxI","tmPS8pqC7x","DZ8iAZOCBD","bJkvcejdHO","IWmyXbctLI","TpPTUOHfaN","X99M06cbEe","xNBdhnnwKq","mp7IySMOzn","9HNa5Wba9A"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","X99M06cbEe","rJVOvQCfKK","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","AHs5Up7iyr","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3444","layer":4},{"info":"number node, value=1150","layer":4},{"info":"compute binary expreesion, left_input=3444, right_input=1150, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-510401","layer":3},{"info":"number node, value=3017","layer":4},{"info":"number node, value=7146","layer":4},{"info":"compute binary expreesion, left_input=3017, right_input=7146, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=-510401, 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=3660","layer":4},{"info":"number node, value=1863","layer":4},{"info":"compute binary expreesion, left_input=3660, right_input=1863, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=7320","layer":3},{"info":"number node, value=2376","layer":4},{"info":"number node, value=1263","layer":4},{"info":"compute binary expreesion, left_input=2376, right_input=1263, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=614911","layer":3},{"info":"compute binary expreesion, left_input=7320, right_input=614911, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=7320","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=7320, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=7320","layer":1},{"info":"number node, value=1298","layer":4},{"info":"compute unary expreesion, input=1298, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=3997","layer":3},{"info":"number node, value=5707","layer":4},{"info":"compute unary expreesion, input=5707, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=11414","layer":3},{"info":"compute binary expreesion, left_input=3997, right_input=11414, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=2104","layer":4},{"info":"number node, value=1112","layer":4},{"info":"compute binary expreesion, left_input=2104, right_input=1112, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2224","layer":3},{"info":"number node, value=2423","layer":4},{"info":"number node, value=1521","layer":4},{"info":"compute binary expreesion, left_input=2423, right_input=1521, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=3685383","layer":3},{"info":"compute binary expreesion, left_input=2224, right_input=3685383, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3685383","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=3685383, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=7320, 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":13,"result_base":13,"text":"(⪎⋱⫍174C⪄⪎⋱⫍6A6⩨⪎⋱⫍14B1∀⇚≩⪎⋱⫍3339)⨎(⪎⋱⫍1887⊉≛↸⪎⋱⫍B04)⨪↰⇹(⪎⋱⫍110A≎⊠⪸⪎⋱⫍762)⪄((⪎⋱⫍78B≫≃)+⇶⊼(⪎⋱⫍27A0⊭∹↮))⪮%⊝(⪎⋱⫍C5B⇷⪎⋱⫍677⨎(⪎⋱⫍1145*⪎⋱⫍900))=NaN","reverse_text":"NaN=(⪎⋱⫍174C⪄⪎⋱⫍6A6⩨⪎⋱⫍14B1∀⇚≩⪎⋱⫍3339)⨎(⪎⋱⫍1887⊉≛↸⪎⋱⫍B04)⨪↰⇹(⪎⋱⫍110A≎⊠⪸⪎⋱⫍762)⪄((⪎⋱⫍78B≫≃)+⇶⊼(⪎⋱⫍27A0⊭∹↮))⪮%⊝(⪎⋱⫍C5B⇷⪎⋱⫍677⨎(⪎⋱⫍1145*⪎⋱⫍900))","cot":[{"info":"⪎⋱⫍174C⪄⪎⋱⫍6A6=⪎⋱⫍-14B418","layer":3},{"info":"⪎⋱⫍14B1∀⇚≩⪎⋱⫍3339=NaN","layer":3},{"info":"⪎⋱⫍-14B418⩨NaN=NaN","layer":2},{"info":"⪎⋱⫍1887⊉≛↸⪎⋱⫍B04=⪎⋱⫍3441","layer":3},{"info":"⪎⋱⫍110A≎⊠⪸⪎⋱⫍762=⪎⋱⫍186B6B","layer":3},{"info":"⪎⋱⫍3441⨪↰⇹⪎⋱⫍186B6B=⪎⋱⫍3441","layer":2},{"info":"NaN⨎⪎⋱⫍3441=⪎⋱⫍3441","layer":1},{"info":"⪎⋱⫍78B≫≃=⪎⋱⫍1A86","layer":3},{"info":"⪎⋱⫍27A0⊭∹↮=⪎⋱⫍5270","layer":3},{"info":"⪎⋱⫍1A86+⇶⊼⪎⋱⫍5270=NaN","layer":2},{"info":"⪎⋱⫍C5B⇷⪎⋱⫍677=⪎⋱⫍1021","layer":3},{"info":"⪎⋱⫍1145*⪎⋱⫍900=⪎⋱⫍9C0600","layer":3},{"info":"⪎⋱⫍1021⨎⪎⋱⫍9C0600=⪎⋱⫍9C0600","layer":2},{"info":"NaN⪮%⊝⪎⋱⫍9C0600=NaN","layer":1},{"info":"⪎⋱⫍3441⪄NaN=NaN","layer":0}]}
{"id":638,"expression_no_base_symbol":"⨰⫟⨤(+⊝⨔(($2491$⨵⪆$1524$)⋝⋈⪟$4668$⪮%⊝$2472$))","expression":"⨰⫟⨤(+⊝⨔((⪎⋱⫍1198⨵⪆⪎⋱⫍903)⋝⋈⪟⪎⋱⫍2181⪮%⊝⪎⋱⫍1182))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":5281,"operation_count":5,"complexity_ratio":1056.2,"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":2491,"base":13},"right_expr":{"type":"numeric_atoms","value":1524,"base":13}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":4668,"base":13},"right_expr":{"type":"numeric_atoms","value":2472,"base":13}}}}},"used_operators":["Tw270M8GLb","DhbWaqg5eL","2DDjHMKMc0","2DQ55sFlQl","IWmyXbctLI"],"dependent_operators":["sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2491","layer":4},{"info":"number node, value=1524","layer":4},{"info":"compute binary expreesion, left_input=2491, right_input=1524, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=4668","layer":4},{"info":"number node, value=2472","layer":4},{"info":"compute binary expreesion, left_input=4668, right_input=2472, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=9652","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=9652, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=160","layer":2},{"info":"compute unary expreesion, input=160, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":1},{"info":"compute unary expreesion, input=1522, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⨰⫟⨤(+⊝⨔((⪎⋱⫍1198⨵⪆⪎⋱⫍903)⋝⋈⪟⪎⋱⫍2181⪮%⊝⪎⋱⫍1182))=NaN","reverse_text":"NaN=⨰⫟⨤(+⊝⨔((⪎⋱⫍1198⨵⪆⪎⋱⫍903)⋝⋈⪟⪎⋱⫍2181⪮%⊝⪎⋱⫍1182))","cot":[{"info":"⪎⋱⫍1198⨵⪆⪎⋱⫍903=⪎⋱⫍C4","layer":3},{"info":"⪎⋱⫍2181⪮%⊝⪎⋱⫍1182=⪎⋱⫍4516","layer":3},{"info":"⪎⋱⫍C4⋝⋈⪟⪎⋱⫍4516=⪎⋱⫍C4","layer":2},{"info":"+⊝⨔⪎⋱⫍C4=⪎⋱⫍901","layer":1},{"info":"⨰⫟⨤⪎⋱⫍901=NaN","layer":0}]}
{"id":639,"expression_no_base_symbol":"($1388$≦≮≮)≎⊠⪸$3546$∼$4309$⪒($1842$⇼⇔∾$1540$)⋝⋈⪟($2261$∲⫓$3039$)+((∥⊫($1189$⋷$1355$))⋷($1305$↪⪝)⇼⇔∾$1169$⋓$7227$)","expression":"(⪎⋱⫍82A≦≮≮)≎⊠⪸⪎⋱⫍17CA∼⪎⋱⫍1C66⪒(⪎⋱⫍AB9⇼⇔∾⪎⋱⫍916)⋝⋈⪟(⪎⋱⫍104C∲⫓⪎⋱⫍14CA)+((∥⊫(⪎⋱⫍706⋷⪎⋱⫍803))⋷(⪎⋱⫍795↪⪝)⇼⇔∾⪎⋱⫍6BC⋓⪎⋱⫍339C)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":821,"operation_count":14,"complexity_ratio":58.642857142857146,"tree":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":1388,"base":13}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":3546,"base":13},"right_expr":{"type":"numeric_atoms","value":4309,"base":13}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1842,"base":13},"right_expr":{"type":"numeric_atoms","value":1540,"base":13}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2261,"base":13},"right_expr":{"type":"numeric_atoms","value":3039,"base":13}}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1189,"base":13},"right_expr":{"type":"numeric_atoms","value":1355,"base":13}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":1305,"base":13}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1169,"base":13},"right_expr":{"type":"numeric_atoms","value":7227,"base":13}}}}},"used_operators":["W4YGzv6Whe","f6k1SAg4EE","bJkvcejdHO","D4vGDi5EA2","DyGG3AbaNP","2DDjHMKMc0","tifHPKVTfV","i8ToyICDmI","23Mk6UjR3U","P8v4zCKN1o","l07mrZUIn9","T2fj7uvVaJ"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","2DDjHMKMc0","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"⪎⋱⫍-2711126A","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1388","layer":4},{"info":"compute unary expreesion, input=1388, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-4164","layer":3},{"info":"number node, value=3546","layer":4},{"info":"number node, value=4309","layer":4},{"info":"compute binary expreesion, left_input=3546, right_input=4309, 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=-4164, 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=1842","layer":4},{"info":"number node, value=1540","layer":4},{"info":"compute binary expreesion, left_input=1842, right_input=1540, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-302","layer":3},{"info":"number node, value=2261","layer":4},{"info":"number node, value=3039","layer":4},{"info":"compute binary expreesion, left_input=2261, right_input=3039, 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=-302, right_input=0, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-302","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=-302, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=235","layer":1},{"info":"number node, value=1189","layer":4},{"info":"number node, value=1355","layer":4},{"info":"compute binary expreesion, left_input=1189, right_input=1355, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=1521","layer":3},{"info":"compute unary expreesion, input=1521, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2389","layer":2},{"info":"number node, value=1305","layer":4},{"info":"compute unary expreesion, input=1305, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=79842510","layer":3},{"info":"number node, value=1169","layer":4},{"info":"number node, value=7227","layer":4},{"info":"compute binary expreesion, left_input=1169, right_input=7227, op_id = T2fj7uvVaJ binary_op_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=79842510, right_input=0, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-79842510","layer":2},{"info":"compute binary expreesion, left_input=2389, right_input=-79842510, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-159687409","layer":1},{"info":"compute binary expreesion, left_input=235, right_input=-159687409, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-159687174","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍82A≦≮≮)≎⊠⪸⪎⋱⫍17CA∼⪎⋱⫍1C66⪒(⪎⋱⫍AB9⇼⇔∾⪎⋱⫍916)⋝⋈⪟(⪎⋱⫍104C∲⫓⪎⋱⫍14CA)+((∥⊫(⪎⋱⫍706⋷⪎⋱⫍803))⋷(⪎⋱⫍795↪⪝)⇼⇔∾⪎⋱⫍6BC⋓⪎⋱⫍339C)=⪎⋱⫍-2711126A","reverse_text":"⪎⋱⫍-2711126A=(⪎⋱⫍82A≦≮≮)≎⊠⪸⪎⋱⫍17CA∼⪎⋱⫍1C66⪒(⪎⋱⫍AB9⇼⇔∾⪎⋱⫍916)⋝⋈⪟(⪎⋱⫍104C∲⫓⪎⋱⫍14CA)+((∥⊫(⪎⋱⫍706⋷⪎⋱⫍803))⋷(⪎⋱⫍795↪⪝)⇼⇔∾⪎⋱⫍6BC⋓⪎⋱⫍339C)","cot":[{"info":"⪎⋱⫍82A≦≮≮=⪎⋱⫍-1B84","layer":3},{"info":"⪎⋱⫍17CA∼⪎⋱⫍1C66=NaN","layer":3},{"info":"⪎⋱⫍-1B84≎⊠⪸NaN=⪎⋱⫍52","layer":2},{"info":"⪎⋱⫍AB9⇼⇔∾⪎⋱⫍916=⪎⋱⫍-1A3","layer":3},{"info":"⪎⋱⫍104C∲⫓⪎⋱⫍14CA=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍-1A3⋝⋈⪟⪎⋱⫍0=⪎⋱⫍-1A3","layer":2},{"info":"⪎⋱⫍52⪒⪎⋱⫍-1A3=⪎⋱⫍151","layer":1},{"info":"⪎⋱⫍706⋷⪎⋱⫍803=⪎⋱⫍900","layer":3},{"info":"∥⊫⪎⋱⫍900=⪎⋱⫍111A","layer":2},{"info":"⪎⋱⫍795↪⪝=⪎⋱⫍137067B7","layer":3},{"info":"⪎⋱⫍6BC⋓⪎⋱⫍339C=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍137067B7⇼⇔∾⪎⋱⫍0=⪎⋱⫍-137067B7","layer":2},{"info":"⪎⋱⫍111A⋷⪎⋱⫍-137067B7=⪎⋱⫍-271113BB","layer":1},{"info":"⪎⋱⫍151+⪎⋱⫍-271113BB=⪎⋱⫍-2711126A","layer":0}]}
{"id":640,"expression_no_base_symbol":"(⋗⩬⋾(⫓⪴(⊥$6023$)))⋝⋈⪟((($3858$⨁⊸⫻)≎⊠⪸$1408$⩷∴$2656$)⋓($1961$⋓$4280$⨳⩥⨓(↯⪼$1077$)))","expression":"(⋗⩬⋾(⫓⪴(⊥⪎⋱⫍2984)))⋝⋈⪟(((⪎⋱⫍19AA⨁⊸⫻)≎⊠⪸⪎⋱⫍844⩷∴⪎⋱⫍1294)⋓(⪎⋱⫍B7B⋓⪎⋱⫍1C43⨳⩥⨓(↯⪼⪎⋱⫍64B)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":86,"operation_count":11,"complexity_ratio":7.818181818181818,"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":6023,"base":13}}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":3858,"base":13}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1408,"base":13},"right_expr":{"type":"numeric_atoms","value":2656,"base":13}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1961,"base":13},"right_expr":{"type":"numeric_atoms","value":4280,"base":13}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1077,"base":13}}}}},"used_operators":["2DDjHMKMc0","DpFCA1CohY","eLxqMNBOBk","Q3PJZHRvZv","T2fj7uvVaJ","bJkvcejdHO","glklzrTFfD","9FxExcQeMw","nCS4ZIUYfx","8jW3W4yZS5"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","fu6greOZ01","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=6023","layer":4},{"info":"compute unary expreesion, input=6023, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=nan","layer":2},{"info":"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=3858","layer":4},{"info":"compute unary expreesion, input=3858, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=3858","layer":3},{"info":"number node, value=1408","layer":4},{"info":"number node, value=2656","layer":4},{"info":"compute binary expreesion, left_input=1408, right_input=2656, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-2528","layer":3},{"info":"compute binary expreesion, left_input=3858, right_input=-2528, 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=1961","layer":4},{"info":"number node, value=4280","layer":4},{"info":"compute binary expreesion, left_input=1961, right_input=4280, op_id = T2fj7uvVaJ binary_op_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=1077","layer":4},{"info":"compute unary expreesion, input=1077, 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 = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-21","layer":2},{"info":"compute binary expreesion, left_input=67, 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":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":13,"result_base":13,"text":"(⋗⩬⋾(⫓⪴(⊥⪎⋱⫍2984)))⋝⋈⪟(((⪎⋱⫍19AA⨁⊸⫻)≎⊠⪸⪎⋱⫍844⩷∴⪎⋱⫍1294)⋓(⪎⋱⫍B7B⋓⪎⋱⫍1C43⨳⩥⨓(↯⪼⪎⋱⫍64B)))=NaN","reverse_text":"NaN=(⋗⩬⋾(⫓⪴(⊥⪎⋱⫍2984)))⋝⋈⪟(((⪎⋱⫍19AA⨁⊸⫻)≎⊠⪸⪎⋱⫍844⩷∴⪎⋱⫍1294)⋓(⪎⋱⫍B7B⋓⪎⋱⫍1C43⨳⩥⨓(↯⪼⪎⋱⫍64B)))","cot":[{"info":"⊥⪎⋱⫍2984=NaN","layer":3},{"info":"⫓⪴NaN=NaN","layer":2},{"info":"⋗⩬⋾NaN=NaN","layer":1},{"info":"⪎⋱⫍19AA⨁⊸⫻=⪎⋱⫍19AA","layer":3},{"info":"⪎⋱⫍844⩷∴⪎⋱⫍1294=⪎⋱⫍-11C6","layer":3},{"info":"⪎⋱⫍19AA≎⊠⪸⪎⋱⫍-11C6=⪎⋱⫍52","layer":2},{"info":"⪎⋱⫍B7B⋓⪎⋱⫍1C43=⪎⋱⫍0","layer":3},{"info":"↯⪼⪎⋱⫍64B=⪎⋱⫍-18","layer":3},{"info":"⪎⋱⫍0⨳⩥⨓⪎⋱⫍-18=⪎⋱⫍-18","layer":2},{"info":"⪎⋱⫍52⋓⪎⋱⫍-18=⪎⋱⫍0","layer":1},{"info":"NaN⋝⋈⪟⪎⋱⫍0=NaN","layer":0}]}
{"id":641,"expression_no_base_symbol":"(↔(↩($4188$⩨$7152$)))⊠≄⫣","expression":"(↔(↩(⪎⋱⫍1BA2⩨⪎⋱⫍3342)))⊠≄⫣","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":33,"operation_count":4,"complexity_ratio":8.25,"tree":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":4188,"base":13},"right_expr":{"type":"numeric_atoms","value":7152,"base":13}}}}},"used_operators":["DIvbN7qnHd","ruOEQAzv1W","jLgFTUHLKL","2DlMacCsIx"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4188","layer":4},{"info":"number node, value=7152","layer":4},{"info":"compute binary expreesion, left_input=4188, right_input=7152, 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 = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=4880","layer":2},{"info":"compute unary expreesion, input=4880, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-4607","layer":1},{"info":"compute unary expreesion, input=-4607, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":0}],"base":13,"result_base":13,"text":"(↔(↩(⪎⋱⫍1BA2⩨⪎⋱⫍3342)))⊠≄⫣=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=(↔(↩(⪎⋱⫍1BA2⩨⪎⋱⫍3342)))⊠≄⫣","cot":[{"info":"⪎⋱⫍1BA2⩨⪎⋱⫍3342=⪎⋱⫍-3","layer":3},{"info":"↩⪎⋱⫍-3=⪎⋱⫍22B5","layer":2},{"info":"↔⪎⋱⫍22B5=⪎⋱⫍-2135","layer":1},{"info":"⪎⋱⫍-2135⊠≄⫣=⪎⋱⫍0","layer":0}]}
{"id":642,"expression_no_base_symbol":"($7264$⪘⫢$1598$+$1424$↺$2971$)⪮%⊝(-$1903$∼$1708$)*(($7424$≹⇙⪍$1045$≫≃)⩨(⊙↵-(+⊝⨔$6294$)))","expression":"(⪎⋱⫍33CA⪘⫢⪎⋱⫍95C+⪎⋱⫍857↺⪎⋱⫍1477)⪮%⊝(-⪎⋱⫍B35∼⪎⋱⫍A15)*((⪎⋱⫍34C1≹⇙⪍⪎⋱⫍625≫≃)⩨(⊙↵-(+⊝⨔⪎⋱⫍2B32)))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1688,"operation_count":12,"complexity_ratio":140.66666666666666,"tree":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":7264,"base":13},"right_expr":{"type":"numeric_atoms","value":1598,"base":13}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1424,"base":13},"right_expr":{"type":"numeric_atoms","value":2971,"base":13}}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1903,"base":13},"right_expr":{"type":"numeric_atoms","value":1708,"base":13}}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":7424,"base":13},"right_expr":{"type":"numeric_atoms","value":1045,"base":13}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":6294,"base":13}}}}},"used_operators":["9HNa5Wba9A","IWmyXbctLI","W4YGzv6Whe","oacrs7FA3X","7j4O788W3g","t8gj7n24qd","DyGG3AbaNP","2DlMacCsIx","X99M06cbEe","AHs5Up7iyr","oWn0xqSxBt","DhbWaqg5eL"],"dependent_operators":["W4YGzv6Whe","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","dWAJyo7jo9","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=7264","layer":4},{"info":"number node, value=1598","layer":4},{"info":"compute binary expreesion, left_input=7264, right_input=1598, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=14404","layer":3},{"info":"number node, value=1424","layer":4},{"info":"number node, value=2971","layer":4},{"info":"compute binary expreesion, left_input=1424, right_input=2971, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2971","layer":3},{"info":"compute binary expreesion, left_input=14404, right_input=2971, op_id = W4YGzv6Whe binary_op_definition= 'None', output=17375","layer":2},{"info":"number node, value=1903","layer":4},{"info":"number node, value=1708","layer":4},{"info":"compute binary expreesion, left_input=1903, right_input=1708, 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 = t8gj7n24qd, unary_op_definition = 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=17375, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":1},{"info":"number node, value=7424","layer":4},{"info":"number node, value=1045","layer":4},{"info":"compute binary expreesion, left_input=7424, right_input=1045, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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 = 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=6294","layer":4},{"info":"compute unary expreesion, input=6294, 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 = 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 = 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 = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍33CA⪘⫢⪎⋱⫍95C+⪎⋱⫍857↺⪎⋱⫍1477)⪮%⊝(-⪎⋱⫍B35∼⪎⋱⫍A15)*((⪎⋱⫍34C1≹⇙⪍⪎⋱⫍625≫≃)⩨(⊙↵-(+⊝⨔⪎⋱⫍2B32)))=NaN","reverse_text":"NaN=(⪎⋱⫍33CA⪘⫢⪎⋱⫍95C+⪎⋱⫍857↺⪎⋱⫍1477)⪮%⊝(-⪎⋱⫍B35∼⪎⋱⫍A15)*((⪎⋱⫍34C1≹⇙⪍⪎⋱⫍625≫≃)⩨(⊙↵-(+⊝⨔⪎⋱⫍2B32)))","cot":[{"info":"⪎⋱⫍33CA⪘⫢⪎⋱⫍95C=⪎⋱⫍6730","layer":3},{"info":"⪎⋱⫍857↺⪎⋱⫍1477=⪎⋱⫍1477","layer":3},{"info":"⪎⋱⫍6730+⪎⋱⫍1477=⪎⋱⫍7BA7","layer":2},{"info":"⪎⋱⫍B35∼⪎⋱⫍A15=NaN","layer":3},{"info":"-NaN=NaN","layer":2},{"info":"⪎⋱⫍7BA7⪮%⊝NaN=NaN","layer":1},{"info":"⪎⋱⫍34C1≹⇙⪍⪎⋱⫍625=NaN","layer":3},{"info":"NaN≫≃=NaN","layer":2},{"info":"+⊝⨔⪎⋱⫍2B32=⪎⋱⫍901","layer":3},{"info":"⊙↵-⪎⋱⫍901=⪎⋱⫍-1","layer":2},{"info":"NaN⩨⪎⋱⫍-1=NaN","layer":1},{"info":"NaN*NaN=NaN","layer":0}]}
{"id":643,"expression_no_base_symbol":"((($1130$⨪↰⇹$2428$)↬($1607$+⇶⊼$1362$))⇷($2344$⨎$2616$⩨$6631$⋓$1899$))⪢((($2855$⩷∴$3393$)⊪)⩷∴(($1237$⋷$2841$)≭($7401$⋷$2084$)))","expression":"(((⪎⋱⫍68C⨪↰⇹⪎⋱⫍114A)↬(⪎⋱⫍968+⇶⊼⪎⋱⫍80A))⇷(⪎⋱⫍10B4⨎⪎⋱⫍1263⩨⪎⋱⫍3031⋓⪎⋱⫍B31))⪢(((⪎⋱⫍13B8⩷∴⪎⋱⫍1710)⊪)⩷∴((⪎⋱⫍742⋷⪎⋱⫍13A7)≭(⪎⋱⫍34A4⋷⪎⋱⫍C44)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4518,"operation_count":14,"complexity_ratio":322.7142857142857,"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":1130,"base":13},"right_expr":{"type":"numeric_atoms","value":2428,"base":13}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1607,"base":13},"right_expr":{"type":"numeric_atoms","value":1362,"base":13}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2344,"base":13},"right_expr":{"type":"numeric_atoms","value":2616,"base":13}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":6631,"base":13},"right_expr":{"type":"numeric_atoms","value":1899,"base":13}}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2855,"base":13},"right_expr":{"type":"numeric_atoms","value":3393,"base":13}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1237,"base":13},"right_expr":{"type":"numeric_atoms","value":2841,"base":13}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":7401,"base":13},"right_expr":{"type":"numeric_atoms","value":2084,"base":13}}}}},"used_operators":["dWAJyo7jo9","mp7IySMOzn","B5M0gjZbta","tmPS8pqC7x","TpPTUOHfaN","2DlMacCsIx","rJVOvQCfKK","T2fj7uvVaJ","9FxExcQeMw","zVYPLywUTj","rxpJgHHUmx","23Mk6UjR3U"],"dependent_operators":["k8jYdgA6NY","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rGHVDoGpnC","rJVOvQCfKK","AHs5Up7iyr","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1130","layer":4},{"info":"number node, value=2428","layer":4},{"info":"compute binary expreesion, left_input=1130, right_input=2428, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1130","layer":3},{"info":"number node, value=1607","layer":4},{"info":"number node, value=1362","layer":4},{"info":"compute binary expreesion, left_input=1607, 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":3},{"info":"compute binary expreesion, left_input=1130, 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=2344","layer":4},{"info":"number node, value=2616","layer":4},{"info":"compute binary expreesion, left_input=2344, right_input=2616, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2616","layer":3},{"info":"number node, value=6631","layer":4},{"info":"number node, value=1899","layer":4},{"info":"compute binary expreesion, left_input=6631, right_input=1899, op_id = T2fj7uvVaJ binary_op_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=2616, right_input=0, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=0","layer":1},{"info":"number node, value=2855","layer":4},{"info":"number node, value=3393","layer":4},{"info":"compute binary expreesion, left_input=2855, right_input=3393, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-1108","layer":3},{"info":"compute unary expreesion, input=-1108, 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=12405590","layer":2},{"info":"number node, value=1237","layer":4},{"info":"number node, value=2841","layer":4},{"info":"compute binary expreesion, left_input=1237, right_input=2841, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=4445","layer":3},{"info":"number node, value=7401","layer":4},{"info":"number node, value=2084","layer":4},{"info":"compute binary expreesion, left_input=7401, right_input=2084, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-3233","layer":3},{"info":"compute binary expreesion, left_input=4445, right_input=-3233, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=12405590, 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 = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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":13,"result_base":13,"text":"(((⪎⋱⫍68C⨪↰⇹⪎⋱⫍114A)↬(⪎⋱⫍968+⇶⊼⪎⋱⫍80A))⇷(⪎⋱⫍10B4⨎⪎⋱⫍1263⩨⪎⋱⫍3031⋓⪎⋱⫍B31))⪢(((⪎⋱⫍13B8⩷∴⪎⋱⫍1710)⊪)⩷∴((⪎⋱⫍742⋷⪎⋱⫍13A7)≭(⪎⋱⫍34A4⋷⪎⋱⫍C44)))=NaN","reverse_text":"NaN=(((⪎⋱⫍68C⨪↰⇹⪎⋱⫍114A)↬(⪎⋱⫍968+⇶⊼⪎⋱⫍80A))⇷(⪎⋱⫍10B4⨎⪎⋱⫍1263⩨⪎⋱⫍3031⋓⪎⋱⫍B31))⪢(((⪎⋱⫍13B8⩷∴⪎⋱⫍1710)⊪)⩷∴((⪎⋱⫍742⋷⪎⋱⫍13A7)≭(⪎⋱⫍34A4⋷⪎⋱⫍C44)))","cot":[{"info":"⪎⋱⫍68C⨪↰⇹⪎⋱⫍114A=⪎⋱⫍68C","layer":3},{"info":"⪎⋱⫍968+⇶⊼⪎⋱⫍80A=NaN","layer":3},{"info":"⪎⋱⫍68C↬NaN=NaN","layer":2},{"info":"⪎⋱⫍10B4⨎⪎⋱⫍1263=⪎⋱⫍1263","layer":3},{"info":"⪎⋱⫍3031⋓⪎⋱⫍B31=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍1263⩨⪎⋱⫍0=⪎⋱⫍0","layer":2},{"info":"NaN⇷⪎⋱⫍0=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍13B8⩷∴⪎⋱⫍1710=⪎⋱⫍-673","layer":3},{"info":"⪎⋱⫍-673⊪=⪎⋱⫍27547B2","layer":2},{"info":"⪎⋱⫍742⋷⪎⋱⫍13A7=⪎⋱⫍203C","layer":3},{"info":"⪎⋱⫍34A4⋷⪎⋱⫍C44=⪎⋱⫍-1619","layer":3},{"info":"⪎⋱⫍203C≭⪎⋱⫍-1619=NaN","layer":2},{"info":"⪎⋱⫍27547B2⩷∴NaN=NaN","layer":1},{"info":"⪎⋱⫍0⪢NaN=NaN","layer":0}]}
{"id":644,"expression_no_base_symbol":"((⨑⩽⪐$1105$)⨐⩸⫘($1670$⪠⩆⊳)-(⊥($5815$⫡⨏$1977$)))⩚⊴⇥(($4156$⊭↱$1131$/$3783$-$1523$)⨳⩥⨓($4981$∑⇟⊟$6732$⪒$1596$↺$5719$))","expression":"((⨑⩽⪐⪎⋱⫍670)⨐⩸⫘(⪎⋱⫍9B6⪠⩆⊳)-(⊥(⪎⋱⫍2854⫡⨏⪎⋱⫍B91)))⩚⊴⇥((⪎⋱⫍1B79⊭↱⪎⋱⫍690/⪎⋱⫍1950-⪎⋱⫍902)⨳⩥⨓(⪎⋱⫍2362∑⇟⊟⪎⋱⫍30AB⪒⪎⋱⫍95A↺⪎⋱⫍27AC))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":41,"operation_count":14,"complexity_ratio":2.9285714285714284,"tree":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":1105,"base":13}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":1670,"base":13}}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":5815,"base":13},"right_expr":{"type":"numeric_atoms","value":1977,"base":13}}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":4156,"base":13},"right_expr":{"type":"numeric_atoms","value":1131,"base":13}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":3783,"base":13},"right_expr":{"type":"numeric_atoms","value":1523,"base":13}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":4981,"base":13},"right_expr":{"type":"numeric_atoms","value":6732,"base":13}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1596,"base":13},"right_expr":{"type":"numeric_atoms","value":5719,"base":13}}}}},"used_operators":["NTOWxs364D","rysDP5nf3Z","fu6greOZ01","AF7qkfDlqP","JLbD19bQDL","Q3PJZHRvZv","QMFrweE19q","nCS4ZIUYfx","XhwjNDsVaA","COABgblf1C","f6k1SAg4EE","U7g4x0WXJJ","7j4O788W3g"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","fu6greOZ01","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1105","layer":4},{"info":"compute unary expreesion, input=1105, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-832","layer":3},{"info":"number node, value=1670","layer":4},{"info":"compute unary expreesion, input=1670, 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=-832, 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=-832","layer":2},{"info":"number node, value=5815","layer":4},{"info":"number node, value=1977","layer":4},{"info":"compute binary expreesion, left_input=5815, right_input=1977, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=33812","layer":3},{"info":"compute unary expreesion, input=33812, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-832, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=4156","layer":4},{"info":"number node, value=1131","layer":4},{"info":"compute binary expreesion, left_input=4156, right_input=1131, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-6045","layer":3},{"info":"number node, value=3783","layer":4},{"info":"number node, value=1523","layer":4},{"info":"compute binary expreesion, left_input=3783, right_input=1523, op_id = rysDP5nf3Z binary_op_definition= 'None', output=2260","layer":3},{"info":"compute binary expreesion, left_input=-6045, right_input=2260, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-3","layer":2},{"info":"number node, value=4981","layer":4},{"info":"number node, value=6732","layer":4},{"info":"compute binary expreesion, left_input=4981, right_input=6732, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=1596","layer":4},{"info":"number node, value=5719","layer":4},{"info":"compute binary expreesion, left_input=1596, right_input=5719, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=5719","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5719, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-3, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⨑⩽⪐⪎⋱⫍670)⨐⩸⫘(⪎⋱⫍9B6⪠⩆⊳)-(⊥(⪎⋱⫍2854⫡⨏⪎⋱⫍B91)))⩚⊴⇥((⪎⋱⫍1B79⊭↱⪎⋱⫍690/⪎⋱⫍1950-⪎⋱⫍902)⨳⩥⨓(⪎⋱⫍2362∑⇟⊟⪎⋱⫍30AB⪒⪎⋱⫍95A↺⪎⋱⫍27AC))=NaN","reverse_text":"NaN=((⨑⩽⪐⪎⋱⫍670)⨐⩸⫘(⪎⋱⫍9B6⪠⩆⊳)-(⊥(⪎⋱⫍2854⫡⨏⪎⋱⫍B91)))⩚⊴⇥((⪎⋱⫍1B79⊭↱⪎⋱⫍690/⪎⋱⫍1950-⪎⋱⫍902)⨳⩥⨓(⪎⋱⫍2362∑⇟⊟⪎⋱⫍30AB⪒⪎⋱⫍95A↺⪎⋱⫍27AC))","cot":[{"info":"⨑⩽⪐⪎⋱⫍670=⪎⋱⫍-4C0","layer":3},{"info":"⪎⋱⫍9B6⪠⩆⊳=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍-4C0⨐⩸⫘⪎⋱⫍0=⪎⋱⫍-4C0","layer":2},{"info":"⪎⋱⫍2854⫡⨏⪎⋱⫍B91=⪎⋱⫍1250C","layer":3},{"info":"⊥⪎⋱⫍1250C=NaN","layer":2},{"info":"⪎⋱⫍-4C0-NaN=NaN","layer":1},{"info":"⪎⋱⫍1B79⊭↱⪎⋱⫍690=⪎⋱⫍-29A0","layer":3},{"info":"⪎⋱⫍1950-⪎⋱⫍902=⪎⋱⫍104B","layer":3},{"info":"⪎⋱⫍-29A0/⪎⋱⫍104B=⪎⋱⫍-3","layer":2},{"info":"⪎⋱⫍2362∑⇟⊟⪎⋱⫍30AB=NaN","layer":3},{"info":"⪎⋱⫍95A↺⪎⋱⫍27AC=⪎⋱⫍27AC","layer":3},{"info":"NaN⪒⪎⋱⫍27AC=NaN","layer":2},{"info":"⪎⋱⫍-3⨳⩥⨓NaN=NaN","layer":1},{"info":"NaN⩚⊴⇥NaN=NaN","layer":0}]}
{"id":645,"expression_no_base_symbol":"($1428$⫥∨⫟$3055$⨳⩥⨓$1861$⨟⋌⩍$1134$)∼(⇁⨣⪵($3671$⪒$1766$))⨎($1967$⪨≂$1225$⋷$1466$⩷∴$3202$)⪛($3228$⪢$4569$+⇶⊼(⫛⫱⨽$3816$))","expression":"(⪎⋱⫍85B⫥∨⫟⪎⋱⫍1510⨳⩥⨓⪎⋱⫍B02⨟⋌⩍⪎⋱⫍693)∼(⇁⨣⪵(⪎⋱⫍1895⪒⪎⋱⫍A5B))⨎(⪎⋱⫍B84⪨≂⪎⋱⫍733⋷⪎⋱⫍88A⩷∴⪎⋱⫍15C4)⪛(⪎⋱⫍1614⪢⪎⋱⫍2106+⇶⊼(⫛⫱⨽⪎⋱⫍1977))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":6176,"operation_count":14,"complexity_ratio":441.14285714285717,"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":1428,"base":13},"right_expr":{"type":"numeric_atoms","value":3055,"base":13}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1861,"base":13},"right_expr":{"type":"numeric_atoms","value":1134,"base":13}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":3671,"base":13},"right_expr":{"type":"numeric_atoms","value":1766,"base":13}}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1967,"base":13},"right_expr":{"type":"numeric_atoms","value":1225,"base":13}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1466,"base":13},"right_expr":{"type":"numeric_atoms","value":3202,"base":13}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":3228,"base":13},"right_expr":{"type":"numeric_atoms","value":4569,"base":13}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":3816,"base":13}}}}},"used_operators":["rJVOvQCfKK","DyGG3AbaNP","nCS4ZIUYfx","KYD54nUTWz","rGHVDoGpnC","inkyxCbjAn","f6k1SAg4EE","uFcxV4UQCh","23Mk6UjR3U","sdazOOVcIp","9FxExcQeMw","TpPTUOHfaN","dWAJyo7jo9","DlLNRPXxWL"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","8HhzD0ZcuI","rGHVDoGpnC","Tcnh7f0tEr","B5M0gjZbta","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","AHs5Up7iyr","k8jYdgA6NY","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1428","layer":4},{"info":"number node, value=3055","layer":4},{"info":"compute binary expreesion, left_input=1428, right_input=3055, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=1861","layer":4},{"info":"number node, value=1134","layer":4},{"info":"compute binary expreesion, left_input=1861, right_input=1134, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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 = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":2},{"info":"number node, value=3671","layer":4},{"info":"number node, value=1766","layer":4},{"info":"compute binary expreesion, left_input=3671, right_input=1766, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5437","layer":3},{"info":"compute unary expreesion, input=-5437, 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 = 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=1967","layer":4},{"info":"number node, value=1225","layer":4},{"info":"compute binary expreesion, left_input=1967, right_input=1225, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=1586","layer":3},{"info":"number node, value=1466","layer":4},{"info":"number node, value=3202","layer":4},{"info":"compute binary expreesion, left_input=1466, right_input=3202, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-3504","layer":3},{"info":"compute binary expreesion, left_input=1586, right_input=-3504, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-8594","layer":2},{"info":"number node, value=3228","layer":4},{"info":"number node, value=4569","layer":4},{"info":"compute binary expreesion, left_input=3228, right_input=4569, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=3816","layer":4},{"info":"compute unary expreesion, input=3816, 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 = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(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=-8594, right_input=0, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=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":13,"result_base":13,"text":"(⪎⋱⫍85B⫥∨⫟⪎⋱⫍1510⨳⩥⨓⪎⋱⫍B02⨟⋌⩍⪎⋱⫍693)∼(⇁⨣⪵(⪎⋱⫍1895⪒⪎⋱⫍A5B))⨎(⪎⋱⫍B84⪨≂⪎⋱⫍733⋷⪎⋱⫍88A⩷∴⪎⋱⫍15C4)⪛(⪎⋱⫍1614⪢⪎⋱⫍2106+⇶⊼(⫛⫱⨽⪎⋱⫍1977))=NaN","reverse_text":"NaN=(⪎⋱⫍85B⫥∨⫟⪎⋱⫍1510⨳⩥⨓⪎⋱⫍B02⨟⋌⩍⪎⋱⫍693)∼(⇁⨣⪵(⪎⋱⫍1895⪒⪎⋱⫍A5B))⨎(⪎⋱⫍B84⪨≂⪎⋱⫍733⋷⪎⋱⫍88A⩷∴⪎⋱⫍15C4)⪛(⪎⋱⫍1614⪢⪎⋱⫍2106+⇶⊼(⫛⫱⨽⪎⋱⫍1977))","cot":[{"info":"⪎⋱⫍85B⫥∨⫟⪎⋱⫍1510=NaN","layer":3},{"info":"⪎⋱⫍B02⨟⋌⩍⪎⋱⫍693=NaN","layer":3},{"info":"NaN⨳⩥⨓NaN=NaN","layer":2},{"info":"⪎⋱⫍1895⪒⪎⋱⫍A5B=⪎⋱⫍-2623","layer":3},{"info":"⇁⨣⪵⪎⋱⫍-2623=NaN","layer":2},{"info":"NaN∼NaN=NaN","layer":1},{"info":"⪎⋱⫍B84⪨≂⪎⋱⫍733=⪎⋱⫍950","layer":3},{"info":"⪎⋱⫍88A⩷∴⪎⋱⫍15C4=⪎⋱⫍-1797","layer":3},{"info":"⪎⋱⫍950⋷⪎⋱⫍-1797=⪎⋱⫍-3BB1","layer":2},{"info":"⪎⋱⫍1614⪢⪎⋱⫍2106=NaN","layer":3},{"info":"⫛⫱⨽⪎⋱⫍1977=⪎⋱⫍0","layer":3},{"info":"NaN+⇶⊼⪎⋱⫍0=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍-3BB1⪛⪎⋱⫍0=NaN","layer":1},{"info":"NaN⨎NaN=NaN","layer":0}]}
{"id":646,"expression_no_base_symbol":"↣≠⋷((↯⪼($4318$⋓$1282$))%$4129$⪮%⊝$3313$⨐⩸⫘$2615$∼$2271$)","expression":"↣≠⋷((↯⪼(⪎⋱⫍1C72⋓⪎⋱⫍778))%⪎⋱⫍1B58⪮%⊝⪎⋱⫍167B⨐⩸⫘⪎⋱⫍1262∼⪎⋱⫍1059)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":111,"operation_count":7,"complexity_ratio":15.857142857142858,"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":4318,"base":13},"right_expr":{"type":"numeric_atoms","value":1282,"base":13}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":4129,"base":13},"right_expr":{"type":"numeric_atoms","value":3313,"base":13}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2615,"base":13},"right_expr":{"type":"numeric_atoms","value":2271,"base":13}}}}},"used_operators":["Asc51vEJeQ","k8jYdgA6NY","8jW3W4yZS5","T2fj7uvVaJ","fu6greOZ01","IWmyXbctLI","DyGG3AbaNP"],"dependent_operators":["XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","3ViojmjbAp","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4318","layer":4},{"info":"number node, value=1282","layer":4},{"info":"compute binary expreesion, left_input=4318, right_input=1282, op_id = T2fj7uvVaJ binary_op_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 = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":2},{"info":"number node, value=4129","layer":4},{"info":"number node, value=3313","layer":4},{"info":"compute binary expreesion, left_input=4129, right_input=3313, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=8574","layer":3},{"info":"number node, value=2615","layer":4},{"info":"number node, value=2271","layer":4},{"info":"compute binary expreesion, left_input=2615, right_input=2271, 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=8574, 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=-21, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"↣≠⋷((↯⪼(⪎⋱⫍1C72⋓⪎⋱⫍778))%⪎⋱⫍1B58⪮%⊝⪎⋱⫍167B⨐⩸⫘⪎⋱⫍1262∼⪎⋱⫍1059)=NaN","reverse_text":"NaN=↣≠⋷((↯⪼(⪎⋱⫍1C72⋓⪎⋱⫍778))%⪎⋱⫍1B58⪮%⊝⪎⋱⫍167B⨐⩸⫘⪎⋱⫍1262∼⪎⋱⫍1059)","cot":[{"info":"⪎⋱⫍1C72⋓⪎⋱⫍778=⪎⋱⫍0","layer":3},{"info":"↯⪼⪎⋱⫍0=⪎⋱⫍-18","layer":2},{"info":"⪎⋱⫍1B58⪮%⊝⪎⋱⫍167B=⪎⋱⫍3B97","layer":3},{"info":"⪎⋱⫍1262∼⪎⋱⫍1059=NaN","layer":3},{"info":"⪎⋱⫍3B97⨐⩸⫘NaN=NaN","layer":2},{"info":"⪎⋱⫍-18%NaN=NaN","layer":1},{"info":"↣≠⋷NaN=NaN","layer":0}]}
{"id":647,"expression_no_base_symbol":"(⨑⩽⪐($4942$⊪))≹⇙⪍($3600$⇼⇔∾$2066$/(⩦⩻⨪$4590$))⨰(↣≠⋷(($3954$⊭↱$3176$)⪢($1560$⊭↱$1215$)))","expression":"(⨑⩽⪐(⪎⋱⫍2332⊪))≹⇙⪍(⪎⋱⫍183C⇼⇔∾⪎⋱⫍C2C/(⩦⩻⨪⪎⋱⫍2121))⨰(↣≠⋷((⪎⋱⫍1A52⊭↱⪎⋱⫍15A4)⪢(⪎⋱⫍930⊭↱⪎⋱⫍726)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2146,"operation_count":11,"complexity_ratio":195.0909090909091,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":4942,"base":13}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":3600,"base":13},"right_expr":{"type":"numeric_atoms","value":2066,"base":13}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":4590,"base":13}}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":3954,"base":13},"right_expr":{"type":"numeric_atoms","value":3176,"base":13}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1560,"base":13},"right_expr":{"type":"numeric_atoms","value":1215,"base":13}}}}},"used_operators":["eewbuw0ToL","AHs5Up7iyr","AF7qkfDlqP","zVYPLywUTj","XhwjNDsVaA","tifHPKVTfV","2td37pGCOC","Asc51vEJeQ","dWAJyo7jo9","COABgblf1C"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4942","layer":4},{"info":"compute unary expreesion, input=4942, 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 = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=789","layer":2},{"info":"number node, value=3600","layer":4},{"info":"number node, value=2066","layer":4},{"info":"compute binary expreesion, left_input=3600, right_input=2066, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-1534","layer":3},{"info":"number node, value=4590","layer":4},{"info":"compute unary expreesion, input=4590, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=4590","layer":3},{"info":"compute binary expreesion, left_input=-1534, right_input=4590, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-1","layer":2},{"info":"compute binary expreesion, left_input=789, 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":1},{"info":"number node, value=3954","layer":4},{"info":"number node, value=3176","layer":4},{"info":"compute binary expreesion, left_input=3954, right_input=3176, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-1551","layer":3},{"info":"number node, value=1560","layer":4},{"info":"number node, value=1215","layer":4},{"info":"compute binary expreesion, left_input=1560, right_input=1215, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-685","layer":3},{"info":"compute binary expreesion, left_input=-1551, right_input=-685, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⨑⩽⪐(⪎⋱⫍2332⊪))≹⇙⪍(⪎⋱⫍183C⇼⇔∾⪎⋱⫍C2C/(⩦⩻⨪⪎⋱⫍2121))⨰(↣≠⋷((⪎⋱⫍1A52⊭↱⪎⋱⫍15A4)⪢(⪎⋱⫍930⊭↱⪎⋱⫍726)))=NaN","reverse_text":"NaN=(⨑⩽⪐(⪎⋱⫍2332⊪))≹⇙⪍(⪎⋱⫍183C⇼⇔∾⪎⋱⫍C2C/(⩦⩻⨪⪎⋱⫍2121))⨰(↣≠⋷((⪎⋱⫍1A52⊭↱⪎⋱⫍15A4)⪢(⪎⋱⫍930⊭↱⪎⋱⫍726)))","cot":[{"info":"⪎⋱⫍2332⊪=⪎⋱⫍0","layer":3},{"info":"⨑⩽⪐⪎⋱⫍0=⪎⋱⫍489","layer":2},{"info":"⪎⋱⫍183C⇼⇔∾⪎⋱⫍C2C=⪎⋱⫍-910","layer":3},{"info":"⩦⩻⨪⪎⋱⫍2121=⪎⋱⫍2121","layer":3},{"info":"⪎⋱⫍-910/⪎⋱⫍2121=⪎⋱⫍-1","layer":2},{"info":"⪎⋱⫍489≹⇙⪍⪎⋱⫍-1=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍1A52⊭↱⪎⋱⫍15A4=⪎⋱⫍-924","layer":3},{"info":"⪎⋱⫍930⊭↱⪎⋱⫍726=⪎⋱⫍-409","layer":3},{"info":"⪎⋱⫍-924⪢⪎⋱⫍-409=NaN","layer":2},{"info":"↣≠⋷NaN=NaN","layer":1},{"info":"⪎⋱⫍0⨰NaN=NaN","layer":0}]}
{"id":648,"expression_no_base_symbol":"($1779$∀⇚≩$3640$)⨟⋌⩍($3452$∲⫓$4991$)⨪↰⇹((⨈⫕$2745$)⫥∨⫟(∥⊫$3081$))⇼⇔∾(($2351$⋳⪒$3724$)∧)≎⊠⪸($6823$⨓$6983$)↬(↽≂$2500$)","expression":"(⪎⋱⫍A6B∀⇚≩⪎⋱⫍1870)⨟⋌⩍(⪎⋱⫍1757∲⫓⪎⋱⫍236C)⨪↰⇹((⨈⫕⪎⋱⫍1332)⫥∨⫟(∥⊫⪎⋱⫍1530))⇼⇔∾((⪎⋱⫍10BB⋳⪒⪎⋱⫍1906)∧)≎⊠⪸(⪎⋱⫍314B⨓⪎⋱⫍3242)↬(↽≂⪎⋱⫍11A4)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":20020,"operation_count":14,"complexity_ratio":1430.0,"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":1779,"base":13},"right_expr":{"type":"numeric_atoms","value":3640,"base":13}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":3452,"base":13},"right_expr":{"type":"numeric_atoms","value":4991,"base":13}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":2745,"base":13}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":3081,"base":13}}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2351,"base":13},"right_expr":{"type":"numeric_atoms","value":3724,"base":13}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":6823,"base":13},"right_expr":{"type":"numeric_atoms","value":6983,"base":13}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":2500,"base":13}}}}},"used_operators":["tifHPKVTfV","tmPS8pqC7x","rGHVDoGpnC","LRNGc0VcxI","i8ToyICDmI","KYD54nUTWz","megm06wKyl","P8v4zCKN1o","bJkvcejdHO","z63VuFQld9","12rbrZMWeM","B5M0gjZbta","3ViojmjbAp","u6S6b8DprG"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","Tcnh7f0tEr","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1779","layer":4},{"info":"number node, value=3640","layer":4},{"info":"compute binary expreesion, left_input=1779, right_input=3640, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=3452","layer":4},{"info":"number node, value=4991","layer":4},{"info":"compute binary expreesion, left_input=3452, right_input=4991, 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 = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=2745","layer":4},{"info":"compute unary expreesion, input=2745, 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=3081","layer":4},{"info":"compute unary expreesion, input=3081, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=3949","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=3949, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":1},{"info":"number node, value=2351","layer":4},{"info":"number node, value=3724","layer":4},{"info":"compute binary expreesion, left_input=2351, right_input=3724, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=691","layer":3},{"info":"compute unary expreesion, input=691, 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=6823","layer":4},{"info":"number node, value=6983","layer":4},{"info":"compute binary expreesion, left_input=6823, right_input=6983, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-6986","layer":3},{"info":"number node, value=2500","layer":4},{"info":"compute unary expreesion, input=2500, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-5000","layer":3},{"info":"compute binary expreesion, left_input=-6986, right_input=-5000, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = 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 = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍A6B∀⇚≩⪎⋱⫍1870)⨟⋌⩍(⪎⋱⫍1757∲⫓⪎⋱⫍236C)⨪↰⇹((⨈⫕⪎⋱⫍1332)⫥∨⫟(∥⊫⪎⋱⫍1530))⇼⇔∾((⪎⋱⫍10BB⋳⪒⪎⋱⫍1906)∧)≎⊠⪸(⪎⋱⫍314B⨓⪎⋱⫍3242)↬(↽≂⪎⋱⫍11A4)=NaN","reverse_text":"NaN=(⪎⋱⫍A6B∀⇚≩⪎⋱⫍1870)⨟⋌⩍(⪎⋱⫍1757∲⫓⪎⋱⫍236C)⨪↰⇹((⨈⫕⪎⋱⫍1332)⫥∨⫟(∥⊫⪎⋱⫍1530))⇼⇔∾((⪎⋱⫍10BB⋳⪒⪎⋱⫍1906)∧)≎⊠⪸(⪎⋱⫍314B⨓⪎⋱⫍3242)↬(↽≂⪎⋱⫍11A4)","cot":[{"info":"⪎⋱⫍A6B∀⇚≩⪎⋱⫍1870=NaN","layer":3},{"info":"⪎⋱⫍1757∲⫓⪎⋱⫍236C=⪎⋱⫍0","layer":3},{"info":"NaN⨟⋌⩍⪎⋱⫍0=NaN","layer":2},{"info":"⨈⫕⪎⋱⫍1332=⪎⋱⫍-18","layer":3},{"info":"∥⊫⪎⋱⫍1530=⪎⋱⫍1A4A","layer":3},{"info":"⪎⋱⫍-18⫥∨⫟⪎⋱⫍1A4A=NaN","layer":2},{"info":"NaN⨪↰⇹NaN=NaN","layer":1},{"info":"⪎⋱⫍10BB⋳⪒⪎⋱⫍1906=⪎⋱⫍412","layer":3},{"info":"⪎⋱⫍412∧=NaN","layer":2},{"info":"⪎⋱⫍314B⨓⪎⋱⫍3242=⪎⋱⫍-3245","layer":3},{"info":"↽≂⪎⋱⫍11A4=⪎⋱⫍-2378","layer":3},{"info":"⪎⋱⫍-3245↬⪎⋱⫍-2378=NaN","layer":2},{"info":"NaN≎⊠⪸NaN=⪎⋱⫍52","layer":1},{"info":"NaN⇼⇔∾⪎⋱⫍52=NaN","layer":0}]}
{"id":649,"expression_no_base_symbol":"⨈⫕(⇁⨣⪵($3599$⇷$1484$⫡⨏($4586$⫩⊇)))","expression":"⨈⫕(⇁⨣⪵(⪎⋱⫍183B⇷⪎⋱⫍8A2⫡⨏(⪎⋱⫍211A⫩⊇)))","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":50788,"operation_count":5,"complexity_ratio":10157.6,"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":3599,"base":13},"right_expr":{"type":"numeric_atoms","value":1484,"base":13}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":4586,"base":13}}}}},"used_operators":["megm06wKyl","inkyxCbjAn","QMFrweE19q","mp7IySMOzn","BjRHVeLaeN"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","B5M0gjZbta","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍-18","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3599","layer":4},{"info":"number node, value=1484","layer":4},{"info":"compute binary expreesion, left_input=3599, right_input=1484, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2968","layer":3},{"info":"number node, value=4586","layer":4},{"info":"compute unary expreesion, input=4586, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-4544","layer":3},{"info":"compute binary expreesion, left_input=2968, right_input=-4544, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=6535","layer":2},{"info":"compute unary expreesion, input=6535, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":0}],"base":13,"result_base":13,"text":"⨈⫕(⇁⨣⪵(⪎⋱⫍183B⇷⪎⋱⫍8A2⫡⨏(⪎⋱⫍211A⫩⊇)))=⪎⋱⫍-18","reverse_text":"⪎⋱⫍-18=⨈⫕(⇁⨣⪵(⪎⋱⫍183B⇷⪎⋱⫍8A2⫡⨏(⪎⋱⫍211A⫩⊇)))","cot":[{"info":"⪎⋱⫍183B⇷⪎⋱⫍8A2=⪎⋱⫍1474","layer":3},{"info":"⪎⋱⫍211A⫩⊇=⪎⋱⫍-20B7","layer":3},{"info":"⪎⋱⫍1474⫡⨏⪎⋱⫍-20B7=⪎⋱⫍2C89","layer":2},{"info":"⇁⨣⪵⪎⋱⫍2C89=NaN","layer":1},{"info":"⨈⫕NaN=⪎⋱⫍-18","layer":0}]}
{"id":650,"expression_no_base_symbol":"$1758$∑⇟⊟$1509$⨓($4053$⊪)⨳⩥⨓(⊥$1133$)≧⫂∧$8484$⨟⋌⩍$5313$↺((($2578$⫥∨⫟$2654$)⫩⊇)∲⫓$1000$⋝⋈⪟$2385$⊭↱($1105$⊉≛↸$2459$))","expression":"⪎⋱⫍A53∑⇟⊟⪎⋱⫍8C1⨓(⪎⋱⫍1ACA⊪)⨳⩥⨓(⊥⪎⋱⫍692)≧⫂∧⪎⋱⫍3B28⨟⋌⩍⪎⋱⫍2559↺(((⪎⋱⫍1234⫥∨⫟⪎⋱⫍1292)⫩⊇)∲⫓⪎⋱⫍5BC⋝⋈⪟⪎⋱⫍1116⊭↱(⪎⋱⫍670⊉≛↸⪎⋱⫍1172))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":218,"operation_count":14,"complexity_ratio":15.571428571428571,"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":1758,"base":13},"right_expr":{"type":"numeric_atoms","value":1509,"base":13}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":4053,"base":13}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":1133,"base":13}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":8484,"base":13},"right_expr":{"type":"numeric_atoms","value":5313,"base":13}}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2578,"base":13},"right_expr":{"type":"numeric_atoms","value":2654,"base":13}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1000,"base":13},"right_expr":{"type":"numeric_atoms","value":2385,"base":13}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1105,"base":13},"right_expr":{"type":"numeric_atoms","value":2459,"base":13}}}}},"used_operators":["7j4O788W3g","nCS4ZIUYfx","3ViojmjbAp","U7g4x0WXJJ","zVYPLywUTj","Ph9nP6C5qx","Q3PJZHRvZv","rGHVDoGpnC","i8ToyICDmI","BjRHVeLaeN","KYD54nUTWz","COABgblf1C","2DDjHMKMc0","DZ8iAZOCBD"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","fu6greOZ01","Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1758","layer":4},{"info":"number node, value=1509","layer":4},{"info":"compute binary expreesion, left_input=1758, right_input=1509, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=4053","layer":4},{"info":"compute unary expreesion, input=4053, 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 = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":2},{"info":"number node, value=1133","layer":4},{"info":"compute unary expreesion, input=1133, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=8484","layer":4},{"info":"number node, value=5313","layer":4},{"info":"compute binary expreesion, left_input=8484, 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":"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 = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":1},{"info":"number node, value=2578","layer":4},{"info":"number node, value=2654","layer":4},{"info":"compute binary expreesion, left_input=2578, right_input=2654, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=nan","layer":2},{"info":"number node, value=1000","layer":4},{"info":"number node, value=2385","layer":4},{"info":"compute binary expreesion, left_input=1000, right_input=2385, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1000","layer":3},{"info":"number node, value=1105","layer":4},{"info":"number node, value=2459","layer":4},{"info":"compute binary expreesion, left_input=1105, right_input=2459, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2210","layer":3},{"info":"compute binary expreesion, left_input=1000, right_input=2210, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=2425","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=2425, 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 = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=0","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍A53∑⇟⊟⪎⋱⫍8C1⨓(⪎⋱⫍1ACA⊪)⨳⩥⨓(⊥⪎⋱⫍692)≧⫂∧⪎⋱⫍3B28⨟⋌⩍⪎⋱⫍2559↺(((⪎⋱⫍1234⫥∨⫟⪎⋱⫍1292)⫩⊇)∲⫓⪎⋱⫍5BC⋝⋈⪟⪎⋱⫍1116⊭↱(⪎⋱⫍670⊉≛↸⪎⋱⫍1172))=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=⪎⋱⫍A53∑⇟⊟⪎⋱⫍8C1⨓(⪎⋱⫍1ACA⊪)⨳⩥⨓(⊥⪎⋱⫍692)≧⫂∧⪎⋱⫍3B28⨟⋌⩍⪎⋱⫍2559↺(((⪎⋱⫍1234⫥∨⫟⪎⋱⫍1292)⫩⊇)∲⫓⪎⋱⫍5BC⋝⋈⪟⪎⋱⫍1116⊭↱(⪎⋱⫍670⊉≛↸⪎⋱⫍1172))","cot":[{"info":"⪎⋱⫍A53∑⇟⊟⪎⋱⫍8C1=NaN","layer":3},{"info":"⪎⋱⫍1ACA⊪=⪎⋱⫍0","layer":3},{"info":"NaN⨓⪎⋱⫍0=NaN","layer":2},{"info":"⊥⪎⋱⫍692=NaN","layer":3},{"info":"⪎⋱⫍3B28⨟⋌⩍⪎⋱⫍2559=NaN","layer":3},{"info":"NaN≧⫂∧NaN=NaN","layer":2},{"info":"NaN⨳⩥⨓NaN=NaN","layer":1},{"info":"⪎⋱⫍1234⫥∨⫟⪎⋱⫍1292=NaN","layer":3},{"info":"NaN⫩⊇=NaN","layer":2},{"info":"⪎⋱⫍5BC⋝⋈⪟⪎⋱⫍1116=⪎⋱⫍5BC","layer":3},{"info":"⪎⋱⫍670⊉≛↸⪎⋱⫍1172=⪎⋱⫍1010","layer":3},{"info":"⪎⋱⫍5BC⊭↱⪎⋱⫍1010=⪎⋱⫍1147","layer":2},{"info":"NaN∲⫓⪎⋱⫍1147=⪎⋱⫍0","layer":1},{"info":"NaN↺⪎⋱⫍0=⪎⋱⫍0","layer":0}]}
{"id":651,"expression_no_base_symbol":"(⫓⪴($2584$≧⫂∧$3658$))⫥∨⫟(⫓⪴$1933$)⋝⋈⪟($1556$∧)⋳⪒((≦∁$3015$⪒$4360$)⨳⩥⨓$1987$⨰$2428$⩚⊴⇥($1262$⋳⪒$3859$))","expression":"(⫓⪴(⪎⋱⫍123A≧⫂∧⪎⋱⫍1885))⫥∨⫟(⫓⪴⪎⋱⫍B59)⋝⋈⪟(⪎⋱⫍929∧)⋳⪒((≦∁⪎⋱⫍14AC⪒⪎⋱⫍1CA5)⨳⩥⨓⪎⋱⫍B9B⨰⪎⋱⫍114A⩚⊴⇥(⪎⋱⫍761⋳⪒⪎⋱⫍19AB))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":5361,"operation_count":13,"complexity_ratio":412.38461538461536,"tree":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2584,"base":13},"right_expr":{"type":"numeric_atoms","value":3658,"base":13}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":1933,"base":13}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":1556,"base":13}}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":3015,"base":13},"right_expr":{"type":"numeric_atoms","value":4360,"base":13}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1987,"base":13},"right_expr":{"type":"numeric_atoms","value":2428,"base":13}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1262,"base":13},"right_expr":{"type":"numeric_atoms","value":3859,"base":13}}}}},"used_operators":["12rbrZMWeM","KYD54nUTWz","eLxqMNBOBk","Ph9nP6C5qx","2DDjHMKMc0","z63VuFQld9","nCS4ZIUYfx","9ICcGScMcE","f6k1SAg4EE","NTOWxs364D","eewbuw0ToL"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2584","layer":4},{"info":"number node, value=3658","layer":4},{"info":"compute binary expreesion, left_input=2584, right_input=3658, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=3185","layer":3},{"info":"compute unary expreesion, input=3185, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=10144225","layer":2},{"info":"number node, value=1933","layer":4},{"info":"compute unary expreesion, input=1933, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=3736489","layer":3},{"info":"number node, value=1556","layer":4},{"info":"compute unary expreesion, input=1556, 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=3736489, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=10144225, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=3015","layer":4},{"info":"number node, value=4360","layer":4},{"info":"compute binary expreesion, left_input=3015, right_input=4360, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-7375","layer":3},{"info":"compute unary expreesion, input=-7375, 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=1987","layer":4},{"info":"number node, value=2428","layer":4},{"info":"compute binary expreesion, left_input=1987, right_input=2428, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-431","layer":3},{"info":"number node, value=1262","layer":4},{"info":"number node, value=3859","layer":4},{"info":"compute binary expreesion, left_input=1262, right_input=3859, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-1622","layer":3},{"info":"compute binary expreesion, left_input=-431, right_input=-1622, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=1932","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=1932, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=1865","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1865, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⫓⪴(⪎⋱⫍123A≧⫂∧⪎⋱⫍1885))⫥∨⫟(⫓⪴⪎⋱⫍B59)⋝⋈⪟(⪎⋱⫍929∧)⋳⪒((≦∁⪎⋱⫍14AC⪒⪎⋱⫍1CA5)⨳⩥⨓⪎⋱⫍B9B⨰⪎⋱⫍114A⩚⊴⇥(⪎⋱⫍761⋳⪒⪎⋱⫍19AB))=NaN","reverse_text":"NaN=(⫓⪴(⪎⋱⫍123A≧⫂∧⪎⋱⫍1885))⫥∨⫟(⫓⪴⪎⋱⫍B59)⋝⋈⪟(⪎⋱⫍929∧)⋳⪒((≦∁⪎⋱⫍14AC⪒⪎⋱⫍1CA5)⨳⩥⨓⪎⋱⫍B9B⨰⪎⋱⫍114A⩚⊴⇥(⪎⋱⫍761⋳⪒⪎⋱⫍19AB))","cot":[{"info":"⪎⋱⫍123A≧⫂∧⪎⋱⫍1885=⪎⋱⫍15B0","layer":3},{"info":"⫓⪴⪎⋱⫍15B0=⪎⋱⫍2142400","layer":2},{"info":"⫓⪴⪎⋱⫍B59=⪎⋱⫍A0A953","layer":3},{"info":"⪎⋱⫍929∧=NaN","layer":3},{"info":"⪎⋱⫍A0A953⋝⋈⪟NaN=NaN","layer":2},{"info":"⪎⋱⫍2142400⫥∨⫟NaN=NaN","layer":1},{"info":"⪎⋱⫍14AC⪒⪎⋱⫍1CA5=⪎⋱⫍-3484","layer":3},{"info":"≦∁⪎⋱⫍-3484=⪎⋱⫍52","layer":2},{"info":"⪎⋱⫍B9B⨰⪎⋱⫍114A=⪎⋱⫍-272","layer":3},{"info":"⪎⋱⫍761⋳⪒⪎⋱⫍19AB=⪎⋱⫍-97A","layer":3},{"info":"⪎⋱⫍-272⩚⊴⇥⪎⋱⫍-97A=⪎⋱⫍B58","layer":2},{"info":"⪎⋱⫍52⨳⩥⨓⪎⋱⫍B58=⪎⋱⫍B06","layer":1},{"info":"NaN⋳⪒⪎⋱⫍B06=NaN","layer":0}]}
{"id":652,"expression_no_base_symbol":"((∂$2392$)↬($4239$∸)⪠⩆⊳)⨁⊸⫻","expression":"((∂⪎⋱⫍1120)↬(⪎⋱⫍1C11∸)⪠⩆⊳)⨁⊸⫻","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":186,"operation_count":5,"complexity_ratio":37.2,"tree":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":2392,"base":13}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":4239,"base":13}}}}},"used_operators":["glklzrTFfD","JLbD19bQDL","B5M0gjZbta","Uaa54Peajs","o20kRiQErp"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","tmPS8pqC7x"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2392","layer":4},{"info":"compute unary expreesion, input=2392, 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=4239","layer":4},{"info":"compute unary expreesion, input=4239, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=177, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = 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 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":13,"result_base":13,"text":"((∂⪎⋱⫍1120)↬(⪎⋱⫍1C11∸)⪠⩆⊳)⨁⊸⫻=NaN","reverse_text":"NaN=((∂⪎⋱⫍1120)↬(⪎⋱⫍1C11∸)⪠⩆⊳)⨁⊸⫻","cot":[{"info":"∂⪎⋱⫍1120=NaN","layer":3},{"info":"⪎⋱⫍1C11∸=⪎⋱⫍108","layer":3},{"info":"NaN↬⪎⋱⫍108=NaN","layer":2},{"info":"NaN⪠⩆⊳=NaN","layer":1},{"info":"NaN⨁⊸⫻=NaN","layer":0}]}
{"id":653,"expression_no_base_symbol":"(⫓⪴$2324$⪛$6026$)⊭↱($3163$↺$5449$)⨪↰⇹(⨈⫕$7354$)+((⊙↵-$1654$)%($1054$⪨≂$1488$)⋷$1907$≎⊠⪸$2374$⨸⪁($1573$⪨≂$5680$))","expression":"(⫓⪴⪎⋱⫍109A⪛⪎⋱⫍2987)⊭↱(⪎⋱⫍1594↺⪎⋱⫍2632)⨪↰⇹(⨈⫕⪎⋱⫍3469)+((⊙↵-⪎⋱⫍9A3)%(⪎⋱⫍631⪨≂⪎⋱⫍8A6)⋷⪎⋱⫍B39≎⊠⪸⪎⋱⫍1108⨸⪁(⪎⋱⫍940⪨≂⪎⋱⫍277C))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":10158,"operation_count":14,"complexity_ratio":725.5714285714286,"tree":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2324,"base":13},"right_expr":{"type":"numeric_atoms","value":6026,"base":13}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":3163,"base":13},"right_expr":{"type":"numeric_atoms","value":5449,"base":13}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":7354,"base":13}}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1654,"base":13}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1054,"base":13},"right_expr":{"type":"numeric_atoms","value":1488,"base":13}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1907,"base":13},"right_expr":{"type":"numeric_atoms","value":2374,"base":13}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1573,"base":13},"right_expr":{"type":"numeric_atoms","value":5680,"base":13}}}}},"used_operators":["W4YGzv6Whe","COABgblf1C","eLxqMNBOBk","uFcxV4UQCh","tmPS8pqC7x","7j4O788W3g","megm06wKyl","23Mk6UjR3U","k8jYdgA6NY","oWn0xqSxBt","sdazOOVcIp","g55IO6H4Gj","bJkvcejdHO"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"⪎⋱⫍-230A947","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2324","layer":4},{"info":"number node, value=6026","layer":4},{"info":"compute binary expreesion, left_input=2324, right_input=6026, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2324","layer":3},{"info":"compute unary expreesion, input=2324, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=5400976","layer":2},{"info":"number node, value=3163","layer":4},{"info":"number node, value=5449","layer":4},{"info":"compute binary expreesion, left_input=3163, right_input=5449, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=5449","layer":3},{"info":"number node, value=7354","layer":4},{"info":"compute unary expreesion, input=7354, 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=5449, 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=5449","layer":2},{"info":"compute binary expreesion, left_input=5400976, right_input=5449, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-10791049","layer":1},{"info":"number node, value=1654","layer":4},{"info":"compute unary expreesion, input=1654, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=1054","layer":4},{"info":"number node, value=1488","layer":4},{"info":"compute binary expreesion, left_input=1054, right_input=1488, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-766","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=-766, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-1","layer":2},{"info":"number node, value=1907","layer":4},{"info":"number node, value=2374","layer":4},{"info":"compute binary expreesion, left_input=1907, right_input=2374, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=493440","layer":3},{"info":"number node, value=1573","layer":4},{"info":"number node, value=5680","layer":4},{"info":"compute binary expreesion, left_input=1573, right_input=5680, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-8112","layer":3},{"info":"compute binary expreesion, left_input=493440, right_input=-8112, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=970656","layer":2},{"info":"compute binary expreesion, left_input=-1, right_input=970656, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=2","layer":1},{"info":"compute binary expreesion, left_input=-10791049, right_input=2, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-10791047","layer":0}],"base":13,"result_base":13,"text":"(⫓⪴⪎⋱⫍109A⪛⪎⋱⫍2987)⊭↱(⪎⋱⫍1594↺⪎⋱⫍2632)⨪↰⇹(⨈⫕⪎⋱⫍3469)+((⊙↵-⪎⋱⫍9A3)%(⪎⋱⫍631⪨≂⪎⋱⫍8A6)⋷⪎⋱⫍B39≎⊠⪸⪎⋱⫍1108⨸⪁(⪎⋱⫍940⪨≂⪎⋱⫍277C))=⪎⋱⫍-230A947","reverse_text":"⪎⋱⫍-230A947=(⫓⪴⪎⋱⫍109A⪛⪎⋱⫍2987)⊭↱(⪎⋱⫍1594↺⪎⋱⫍2632)⨪↰⇹(⨈⫕⪎⋱⫍3469)+((⊙↵-⪎⋱⫍9A3)%(⪎⋱⫍631⪨≂⪎⋱⫍8A6)⋷⪎⋱⫍B39≎⊠⪸⪎⋱⫍1108⨸⪁(⪎⋱⫍940⪨≂⪎⋱⫍277C))","cot":[{"info":"⪎⋱⫍109A⪛⪎⋱⫍2987=⪎⋱⫍109A","layer":3},{"info":"⫓⪴⪎⋱⫍109A=⪎⋱⫍1171459","layer":2},{"info":"⪎⋱⫍1594↺⪎⋱⫍2632=⪎⋱⫍2632","layer":3},{"info":"⨈⫕⪎⋱⫍3469=⪎⋱⫍-18","layer":3},{"info":"⪎⋱⫍2632⨪↰⇹⪎⋱⫍-18=⪎⋱⫍2632","layer":2},{"info":"⪎⋱⫍1171459⊭↱⪎⋱⫍2632=⪎⋱⫍-230A949","layer":1},{"info":"⊙↵-⪎⋱⫍9A3=⪎⋱⫍-1","layer":3},{"info":"⪎⋱⫍631⪨≂⪎⋱⫍8A6=⪎⋱⫍-46C","layer":3},{"info":"⪎⋱⫍-1%⪎⋱⫍-46C=⪎⋱⫍-1","layer":2},{"info":"⪎⋱⫍B39≎⊠⪸⪎⋱⫍1108=⪎⋱⫍14379C","layer":3},{"info":"⪎⋱⫍940⪨≂⪎⋱⫍277C=⪎⋱⫍-3900","layer":3},{"info":"⪎⋱⫍14379C⨸⪁⪎⋱⫍-3900=⪎⋱⫍27CA6B","layer":2},{"info":"⪎⋱⫍-1⋷⪎⋱⫍27CA6B=⪎⋱⫍2","layer":1},{"info":"⪎⋱⫍-230A949+⪎⋱⫍2=⪎⋱⫍-230A947","layer":0}]}
{"id":654,"expression_no_base_symbol":"(((⊄⩳↩$1138$)⩨(⫛⫱⨽$6021$))⫥∨⫟(↽≂$1043$≧⫂∧$1399$))⩚⊴⇥(⪲⇎(↽≂(≤/$1390$)))","expression":"(((⊄⩳↩⪎⋱⫍697)⩨(⫛⫱⨽⪎⋱⫍2982))⫥∨⫟(↽≂⪎⋱⫍623≧⫂∧⪎⋱⫍838))⩚⊴⇥(⪲⇎(↽≂(≤/⪎⋱⫍82C)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1596,"operation_count":10,"complexity_ratio":159.6,"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":1138,"base":13}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":6021,"base":13}}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1043,"base":13},"right_expr":{"type":"numeric_atoms","value":1399,"base":13}}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1390,"base":13}}}}},"used_operators":["NTOWxs364D","KYD54nUTWz","2DlMacCsIx","8w2t5hMYqp","DlLNRPXxWL","u6S6b8DprG","Ph9nP6C5qx","XPYlsWDdGa","eLAdDNolq6"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","8HhzD0ZcuI","rGHVDoGpnC","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1138","layer":4},{"info":"compute unary expreesion, input=1138, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-3414","layer":3},{"info":"number node, value=6021","layer":4},{"info":"compute unary expreesion, input=6021, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-3414, 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=1043","layer":4},{"info":"number node, value=1399","layer":4},{"info":"compute binary expreesion, left_input=1043, right_input=1399, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=926","layer":3},{"info":"compute unary expreesion, input=926, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-1852","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-1852, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=1390","layer":4},{"info":"compute unary expreesion, input=1390, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-906","layer":3},{"info":"compute unary expreesion, input=-906, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=1812","layer":2},{"info":"compute unary expreesion, input=1812, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=3624","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=3624, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(((⊄⩳↩⪎⋱⫍697)⩨(⫛⫱⨽⪎⋱⫍2982))⫥∨⫟(↽≂⪎⋱⫍623≧⫂∧⪎⋱⫍838))⩚⊴⇥(⪲⇎(↽≂(≤/⪎⋱⫍82C)))=NaN","reverse_text":"NaN=(((⊄⩳↩⪎⋱⫍697)⩨(⫛⫱⨽⪎⋱⫍2982))⫥∨⫟(↽≂⪎⋱⫍623≧⫂∧⪎⋱⫍838))⩚⊴⇥(⪲⇎(↽≂(≤/⪎⋱⫍82C)))","cot":[{"info":"⊄⩳↩⪎⋱⫍697=⪎⋱⫍-1728","layer":3},{"info":"⫛⫱⨽⪎⋱⫍2982=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍-1728⩨⪎⋱⫍0=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍623≧⫂∧⪎⋱⫍838=⪎⋱⫍563","layer":3},{"info":"↽≂⪎⋱⫍563=⪎⋱⫍-AC6","layer":2},{"info":"⪎⋱⫍0⫥∨⫟⪎⋱⫍-AC6=NaN","layer":1},{"info":"≤/⪎⋱⫍82C=⪎⋱⫍-549","layer":3},{"info":"↽≂⪎⋱⫍-549=⪎⋱⫍A95","layer":2},{"info":"⪲⇎⪎⋱⫍A95=⪎⋱⫍185A","layer":1},{"info":"NaN⩚⊴⇥⪎⋱⫍185A=NaN","layer":0}]}
{"id":655,"expression_no_base_symbol":"(($2426$⩨$1243$)⋓(⨈⫕$2826$)⨳⩥⨓($4109$⋓$4024$↺($4516$-$2488$)))⨟⋌⩍(((⫓⪴$5489$)⩚⊴⇥($1571$⪄$3927$))⨰(($1749$⋥≓≎$3715$)≭$3177$⨪↰⇹$6071$))","expression":"((⪎⋱⫍1148⩨⪎⋱⫍748)⋓(⨈⫕⪎⋱⫍1395)⨳⩥⨓(⪎⋱⫍1B41⋓⪎⋱⫍1AA7↺(⪎⋱⫍2095-⪎⋱⫍1195)))⨟⋌⩍(((⫓⪴⪎⋱⫍2663)⩚⊴⇥(⪎⋱⫍93B⪄⪎⋱⫍1A31))⨰((⪎⋱⫍A47⋥≓≎⪎⋱⫍18CA)≭⪎⋱⫍15A5⨪↰⇹⪎⋱⫍29C0))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":9198,"operation_count":15,"complexity_ratio":613.2,"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":2426,"base":13},"right_expr":{"type":"numeric_atoms","value":1243,"base":13}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":2826,"base":13}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":4109,"base":13},"right_expr":{"type":"numeric_atoms","value":4024,"base":13}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":4516,"base":13},"right_expr":{"type":"numeric_atoms","value":2488,"base":13}}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":5489,"base":13}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1571,"base":13},"right_expr":{"type":"numeric_atoms","value":3927,"base":13}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1749,"base":13},"right_expr":{"type":"numeric_atoms","value":3715,"base":13}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":3177,"base":13},"right_expr":{"type":"numeric_atoms","value":6071,"base":13}}}}},"used_operators":["rGHVDoGpnC","nCS4ZIUYfx","T2fj7uvVaJ","2DlMacCsIx","megm06wKyl","7j4O788W3g","rysDP5nf3Z","eewbuw0ToL","NTOWxs364D","eLxqMNBOBk","SUmda5xLS4","rxpJgHHUmx","Qy55tPpLXF","tmPS8pqC7x"],"dependent_operators":["Tcnh7f0tEr","W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","9HNa5Wba9A","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2426","layer":4},{"info":"number node, value=1243","layer":4},{"info":"compute binary expreesion, left_input=2426, right_input=1243, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=2826","layer":4},{"info":"compute unary expreesion, input=2826, 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 = T2fj7uvVaJ binary_op_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=4109","layer":4},{"info":"number node, value=4024","layer":4},{"info":"compute binary expreesion, left_input=4109, right_input=4024, op_id = T2fj7uvVaJ binary_op_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=4516","layer":4},{"info":"number node, value=2488","layer":4},{"info":"compute binary expreesion, left_input=4516, right_input=2488, op_id = rysDP5nf3Z binary_op_definition= 'None', output=2028","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2028, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2028","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=2028, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=2028","layer":1},{"info":"number node, value=5489","layer":4},{"info":"compute unary expreesion, input=5489, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=30129121","layer":3},{"info":"number node, value=1571","layer":4},{"info":"number node, value=3927","layer":4},{"info":"compute binary expreesion, left_input=1571, right_input=3927, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-244305","layer":3},{"info":"compute binary expreesion, left_input=30129121, right_input=-244305, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-29884937","layer":2},{"info":"number node, value=1749","layer":4},{"info":"number node, value=3715","layer":4},{"info":"compute binary expreesion, left_input=1749, right_input=3715, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=5714","layer":3},{"info":"number node, value=3177","layer":4},{"info":"number node, value=6071","layer":4},{"info":"compute binary expreesion, left_input=3177, right_input=6071, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=3177","layer":3},{"info":"compute binary expreesion, left_input=5714, right_input=3177, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=-29884937, 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=2028, 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":13,"result_base":13,"text":"((⪎⋱⫍1148⩨⪎⋱⫍748)⋓(⨈⫕⪎⋱⫍1395)⨳⩥⨓(⪎⋱⫍1B41⋓⪎⋱⫍1AA7↺(⪎⋱⫍2095-⪎⋱⫍1195)))⨟⋌⩍(((⫓⪴⪎⋱⫍2663)⩚⊴⇥(⪎⋱⫍93B⪄⪎⋱⫍1A31))⨰((⪎⋱⫍A47⋥≓≎⪎⋱⫍18CA)≭⪎⋱⫍15A5⨪↰⇹⪎⋱⫍29C0))=NaN","reverse_text":"NaN=((⪎⋱⫍1148⩨⪎⋱⫍748)⋓(⨈⫕⪎⋱⫍1395)⨳⩥⨓(⪎⋱⫍1B41⋓⪎⋱⫍1AA7↺(⪎⋱⫍2095-⪎⋱⫍1195)))⨟⋌⩍(((⫓⪴⪎⋱⫍2663)⩚⊴⇥(⪎⋱⫍93B⪄⪎⋱⫍1A31))⨰((⪎⋱⫍A47⋥≓≎⪎⋱⫍18CA)≭⪎⋱⫍15A5⨪↰⇹⪎⋱⫍29C0))","cot":[{"info":"⪎⋱⫍1148⩨⪎⋱⫍748=⪎⋱⫍0","layer":3},{"info":"⨈⫕⪎⋱⫍1395=⪎⋱⫍-18","layer":3},{"info":"⪎⋱⫍0⋓⪎⋱⫍-18=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍1B41⋓⪎⋱⫍1AA7=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍2095-⪎⋱⫍1195=⪎⋱⫍C00","layer":3},{"info":"⪎⋱⫍0↺⪎⋱⫍C00=⪎⋱⫍C00","layer":2},{"info":"⪎⋱⫍0⨳⩥⨓⪎⋱⫍C00=⪎⋱⫍C00","layer":1},{"info":"⫓⪴⪎⋱⫍2663=⪎⋱⫍631B9A9","layer":3},{"info":"⪎⋱⫍93B⪄⪎⋱⫍1A31=⪎⋱⫍-87279","layer":3},{"info":"⪎⋱⫍631B9A9⩚⊴⇥⪎⋱⫍-87279=⪎⋱⫍-62647C4","layer":2},{"info":"⪎⋱⫍A47⋥≓≎⪎⋱⫍18CA=⪎⋱⫍27A7","layer":3},{"info":"⪎⋱⫍15A5⨪↰⇹⪎⋱⫍29C0=⪎⋱⫍15A5","layer":3},{"info":"⪎⋱⫍27A7≭⪎⋱⫍15A5=NaN","layer":2},{"info":"⪎⋱⫍-62647C4⨰NaN=NaN","layer":1},{"info":"⪎⋱⫍C00⨟⋌⩍NaN=NaN","layer":0}]}
{"id":656,"expression_no_base_symbol":"((∂(⨵≀≌$2249$))⊦⊿)-($7060$⋓$6302$⨸⪁$5020$⇷$1333$≋⫹)","expression":"((∂(⨵≀≌⪎⋱⫍1040))⊦⊿)-(⪎⋱⫍32A1⋓⪎⋱⫍2B3A⨸⪁⪎⋱⫍2392⇷⪎⋱⫍7B7≋⫹)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":70732,"operation_count":8,"complexity_ratio":8841.5,"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":2249,"base":13}}}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":7060,"base":13},"right_expr":{"type":"numeric_atoms","value":6302,"base":13}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":5020,"base":13},"right_expr":{"type":"numeric_atoms","value":1333,"base":13}}}}},"used_operators":["rysDP5nf3Z","14qkJME0vr","Uaa54Peajs","srAu1WTS94","N41Kp7NANJ","g55IO6H4Gj","T2fj7uvVaJ","mp7IySMOzn"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"⪎⋱⫍-405B","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2249","layer":4},{"info":"compute unary expreesion, input=2249, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-6747","layer":3},{"info":"compute unary expreesion, input=-6747, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=6483","layer":2},{"info":"compute unary expreesion, input=6483, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-19528","layer":1},{"info":"number node, value=7060","layer":4},{"info":"number node, value=6302","layer":4},{"info":"compute binary expreesion, left_input=7060, right_input=6302, op_id = T2fj7uvVaJ binary_op_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=5020","layer":4},{"info":"number node, value=1333","layer":4},{"info":"compute binary expreesion, left_input=5020, right_input=1333, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2666","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2666, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=5332","layer":2},{"info":"compute unary expreesion, input=5332, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-10664","layer":1},{"info":"compute binary expreesion, left_input=-19528, right_input=-10664, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-8864","layer":0}],"base":13,"result_base":13,"text":"((∂(⨵≀≌⪎⋱⫍1040))⊦⊿)-(⪎⋱⫍32A1⋓⪎⋱⫍2B3A⨸⪁⪎⋱⫍2392⇷⪎⋱⫍7B7≋⫹)=⪎⋱⫍-405B","reverse_text":"⪎⋱⫍-405B=((∂(⨵≀≌⪎⋱⫍1040))⊦⊿)-(⪎⋱⫍32A1⋓⪎⋱⫍2B3A⨸⪁⪎⋱⫍2392⇷⪎⋱⫍7B7≋⫹)","cot":[{"info":"⨵≀≌⪎⋱⫍1040=⪎⋱⫍-30C0","layer":3},{"info":"∂⪎⋱⫍-30C0=⪎⋱⫍2C49","layer":2},{"info":"⪎⋱⫍2C49⊦⊿=⪎⋱⫍-8B72","layer":1},{"info":"⪎⋱⫍32A1⋓⪎⋱⫍2B3A=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍2392⇷⪎⋱⫍7B7=⪎⋱⫍12A1","layer":3},{"info":"⪎⋱⫍0⨸⪁⪎⋱⫍12A1=⪎⋱⫍2572","layer":2},{"info":"⪎⋱⫍2572≋⫹=⪎⋱⫍-4B14","layer":1},{"info":"⪎⋱⫍-8B72-⪎⋱⫍-4B14=⪎⋱⫍-405B","layer":0}]}
{"id":657,"expression_no_base_symbol":"($2408$⪮%⊝$5092$⫡⨏$3499$⊭↱$1008$)⨎($1005$∑⇟⊟$1145$⪒$3144$⩷∴$4044$)⫥∨⫟((⊙↵-$4579$)%$5219$⩚⊴⇥$5111$)∀⇚≩($1642$⩷∴$5351$↛⩡⫤)","expression":"(⪎⋱⫍1133⪮%⊝⪎⋱⫍2419⫡⨏⪎⋱⫍1792⊭↱⪎⋱⫍5C7)⨎(⪎⋱⫍5C4∑⇟⊟⪎⋱⫍6A1⪒⪎⋱⫍157B⩷∴⪎⋱⫍1AC1)⫥∨⫟((⊙↵-⪎⋱⫍2113)%⪎⋱⫍24B6⩚⊴⇥⪎⋱⫍2432)∀⇚≩(⪎⋱⫍994⩷∴⪎⋱⫍2588↛⩡⫤)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":27292,"operation_count":14,"complexity_ratio":1949.4285714285713,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2408,"base":13},"right_expr":{"type":"numeric_atoms","value":5092,"base":13}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":3499,"base":13},"right_expr":{"type":"numeric_atoms","value":1008,"base":13}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1005,"base":13},"right_expr":{"type":"numeric_atoms","value":1145,"base":13}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":3144,"base":13},"right_expr":{"type":"numeric_atoms","value":4044,"base":13}}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":4579,"base":13}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":5219,"base":13},"right_expr":{"type":"numeric_atoms","value":5111,"base":13}}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1642,"base":13},"right_expr":{"type":"numeric_atoms","value":5351,"base":13}}}}},"used_operators":["KYD54nUTWz","rJVOvQCfKK","QMFrweE19q","IWmyXbctLI","COABgblf1C","f6k1SAg4EE","U7g4x0WXJJ","9FxExcQeMw","LRNGc0VcxI","k8jYdgA6NY","oWn0xqSxBt","NTOWxs364D","FU0Cs4j7VP"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","X99M06cbEe","rysDP5nf3Z","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2408","layer":4},{"info":"number node, value=5092","layer":4},{"info":"compute binary expreesion, left_input=2408, right_input=5092, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=5132","layer":3},{"info":"number node, value=3499","layer":4},{"info":"number node, value=1008","layer":4},{"info":"compute binary expreesion, left_input=3499, right_input=1008, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-4977","layer":3},{"info":"compute binary expreesion, left_input=5132, right_input=-4977, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=16489","layer":2},{"info":"number node, value=1005","layer":4},{"info":"number node, value=1145","layer":4},{"info":"compute binary expreesion, left_input=1005, right_input=1145, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=3144","layer":4},{"info":"number node, value=4044","layer":4},{"info":"compute binary expreesion, left_input=3144, right_input=4044, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-1832","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1832, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=16489, 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=4579","layer":4},{"info":"compute unary expreesion, input=4579, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=5219","layer":4},{"info":"number node, value=5111","layer":4},{"info":"compute binary expreesion, left_input=5219, right_input=5111, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-10451","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=-10451, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-1","layer":2},{"info":"number node, value=1642","layer":4},{"info":"number node, value=5351","layer":4},{"info":"compute binary expreesion, left_input=1642, right_input=5351, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-7450","layer":3},{"info":"compute unary expreesion, input=-7450, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=508","layer":2},{"info":"compute binary expreesion, left_input=-1, right_input=508, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=-2417","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-2417, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍1133⪮%⊝⪎⋱⫍2419⫡⨏⪎⋱⫍1792⊭↱⪎⋱⫍5C7)⨎(⪎⋱⫍5C4∑⇟⊟⪎⋱⫍6A1⪒⪎⋱⫍157B⩷∴⪎⋱⫍1AC1)⫥∨⫟((⊙↵-⪎⋱⫍2113)%⪎⋱⫍24B6⩚⊴⇥⪎⋱⫍2432)∀⇚≩(⪎⋱⫍994⩷∴⪎⋱⫍2588↛⩡⫤)=NaN","reverse_text":"NaN=(⪎⋱⫍1133⪮%⊝⪎⋱⫍2419⫡⨏⪎⋱⫍1792⊭↱⪎⋱⫍5C7)⨎(⪎⋱⫍5C4∑⇟⊟⪎⋱⫍6A1⪒⪎⋱⫍157B⩷∴⪎⋱⫍1AC1)⫥∨⫟((⊙↵-⪎⋱⫍2113)%⪎⋱⫍24B6⩚⊴⇥⪎⋱⫍2432)∀⇚≩(⪎⋱⫍994⩷∴⪎⋱⫍2588↛⩡⫤)","cot":[{"info":"⪎⋱⫍1133⪮%⊝⪎⋱⫍2419=⪎⋱⫍244A","layer":3},{"info":"⪎⋱⫍1792⊭↱⪎⋱⫍5C7=⪎⋱⫍-235B","layer":3},{"info":"⪎⋱⫍244A⫡⨏⪎⋱⫍-235B=⪎⋱⫍7675","layer":2},{"info":"⪎⋱⫍5C4∑⇟⊟⪎⋱⫍6A1=NaN","layer":3},{"info":"⪎⋱⫍157B⩷∴⪎⋱⫍1AC1=⪎⋱⫍-AAC","layer":3},{"info":"NaN⪒⪎⋱⫍-AAC=NaN","layer":2},{"info":"⪎⋱⫍7675⨎NaN=NaN","layer":1},{"info":"⊙↵-⪎⋱⫍2113=⪎⋱⫍-1","layer":3},{"info":"⪎⋱⫍24B6⩚⊴⇥⪎⋱⫍2432=⪎⋱⫍-49AC","layer":3},{"info":"⪎⋱⫍-1%⪎⋱⫍-49AC=⪎⋱⫍-1","layer":2},{"info":"⪎⋱⫍994⩷∴⪎⋱⫍2588=⪎⋱⫍-3511","layer":3},{"info":"⪎⋱⫍-3511↛⩡⫤=⪎⋱⫍301","layer":2},{"info":"⪎⋱⫍-1∀⇚≩⪎⋱⫍301=⪎⋱⫍-113C","layer":1},{"info":"NaN⫥∨⫟⪎⋱⫍-113C=NaN","layer":0}]}
{"id":658,"expression_no_base_symbol":"($1585$↬$1260$⨎(⨈⫕$4809$))⋝⋈⪟((⊙↵-$2195$)∧)⪠⩆⊳","expression":"(⪎⋱⫍94C↬⪎⋱⫍75C⨎(⨈⫕⪎⋱⫍225C))⋝⋈⪟((⊙↵-⪎⋱⫍CCB)∧)⪠⩆⊳","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":3951,"operation_count":7,"complexity_ratio":564.4285714285714,"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":1585,"base":13},"right_expr":{"type":"numeric_atoms","value":1260,"base":13}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":4809,"base":13}}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":2195,"base":13}}}}},"used_operators":["JLbD19bQDL","2DDjHMKMc0","rJVOvQCfKK","B5M0gjZbta","megm06wKyl","z63VuFQld9","oWn0xqSxBt"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rGHVDoGpnC","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1585","layer":4},{"info":"number node, value=1260","layer":4},{"info":"compute binary expreesion, left_input=1585, right_input=1260, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=4809","layer":4},{"info":"compute unary expreesion, input=4809, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-21, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-21","layer":2},{"info":"number node, value=2195","layer":4},{"info":"compute unary expreesion, input=2195, 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 binary expreesion, left_input=-21, 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 = 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":13,"result_base":13,"text":"(⪎⋱⫍94C↬⪎⋱⫍75C⨎(⨈⫕⪎⋱⫍225C))⋝⋈⪟((⊙↵-⪎⋱⫍CCB)∧)⪠⩆⊳=NaN","reverse_text":"NaN=(⪎⋱⫍94C↬⪎⋱⫍75C⨎(⨈⫕⪎⋱⫍225C))⋝⋈⪟((⊙↵-⪎⋱⫍CCB)∧)⪠⩆⊳","cot":[{"info":"⪎⋱⫍94C↬⪎⋱⫍75C=NaN","layer":3},{"info":"⨈⫕⪎⋱⫍225C=⪎⋱⫍-18","layer":3},{"info":"NaN⨎⪎⋱⫍-18=⪎⋱⫍-18","layer":2},{"info":"⊙↵-⪎⋱⫍CCB=⪎⋱⫍-1","layer":3},{"info":"⪎⋱⫍-1∧=NaN","layer":2},{"info":"⪎⋱⫍-18⋝⋈⪟NaN=NaN","layer":1},{"info":"NaN⪠⩆⊳=NaN","layer":0}]}
{"id":659,"expression_no_base_symbol":"(($4226$⪢$2839$⩨$1980$⫥∨⫟$2037$)⩷∴(-$7336$↺$1887$))⪢(($2524$⪄$2060$⇼⇔∾($3024$⋷$6454$))↺(↔$2546$)⪢($4215$⪘⫢$1067$))","expression":"((⪎⋱⫍1C01⪢⪎⋱⫍13A5⩨⪎⋱⫍B94⫥∨⫟⪎⋱⫍C09)⩷∴(-⪎⋱⫍3454↺⪎⋱⫍B22))⪢((⪎⋱⫍11C2⪄⪎⋱⫍C26⇼⇔∾(⪎⋱⫍14B8⋷⪎⋱⫍2C26))↺(↔⪎⋱⫍120B)⪢(⪎⋱⫍1BC3⪘⫢⪎⋱⫍641))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":19585,"operation_count":14,"complexity_ratio":1398.9285714285713,"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":4226,"base":13},"right_expr":{"type":"numeric_atoms","value":2839,"base":13}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1980,"base":13},"right_expr":{"type":"numeric_atoms","value":2037,"base":13}}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":7336,"base":13},"right_expr":{"type":"numeric_atoms","value":1887,"base":13}}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2524,"base":13},"right_expr":{"type":"numeric_atoms","value":2060,"base":13}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":3024,"base":13},"right_expr":{"type":"numeric_atoms","value":6454,"base":13}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":2546,"base":13}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":4215,"base":13},"right_expr":{"type":"numeric_atoms","value":1067,"base":13}}}}},"used_operators":["dWAJyo7jo9","9FxExcQeMw","2DlMacCsIx","KYD54nUTWz","t8gj7n24qd","7j4O788W3g","tifHPKVTfV","SUmda5xLS4","23Mk6UjR3U","ruOEQAzv1W","oacrs7FA3X"],"dependent_operators":["k8jYdgA6NY","rysDP5nf3Z","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4226","layer":4},{"info":"number node, value=2839","layer":4},{"info":"compute binary expreesion, left_input=4226, right_input=2839, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=1980","layer":4},{"info":"number node, value=2037","layer":4},{"info":"compute binary expreesion, left_input=1980, right_input=2037, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":2},{"info":"number node, value=7336","layer":4},{"info":"number node, value=1887","layer":4},{"info":"compute binary expreesion, left_input=7336, right_input=1887, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1887","layer":3},{"info":"compute unary expreesion, input=1887, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1887","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1887, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":1},{"info":"number node, value=2524","layer":4},{"info":"number node, value=2060","layer":4},{"info":"compute binary expreesion, left_input=2524, right_input=2060, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-377881","layer":3},{"info":"number node, value=3024","layer":4},{"info":"number node, value=6454","layer":4},{"info":"compute binary expreesion, left_input=3024, right_input=6454, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=9884","layer":3},{"info":"compute binary expreesion, left_input=-377881, right_input=9884, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=387765","layer":2},{"info":"number node, value=2546","layer":4},{"info":"compute unary expreesion, input=2546, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-2273","layer":3},{"info":"number node, value=4215","layer":4},{"info":"number node, value=1067","layer":4},{"info":"compute binary expreesion, left_input=4215, right_input=1067, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=8306","layer":3},{"info":"compute binary expreesion, left_input=-2273, right_input=8306, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=387765, 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 = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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":13,"result_base":13,"text":"((⪎⋱⫍1C01⪢⪎⋱⫍13A5⩨⪎⋱⫍B94⫥∨⫟⪎⋱⫍C09)⩷∴(-⪎⋱⫍3454↺⪎⋱⫍B22))⪢((⪎⋱⫍11C2⪄⪎⋱⫍C26⇼⇔∾(⪎⋱⫍14B8⋷⪎⋱⫍2C26))↺(↔⪎⋱⫍120B)⪢(⪎⋱⫍1BC3⪘⫢⪎⋱⫍641))=NaN","reverse_text":"NaN=((⪎⋱⫍1C01⪢⪎⋱⫍13A5⩨⪎⋱⫍B94⫥∨⫟⪎⋱⫍C09)⩷∴(-⪎⋱⫍3454↺⪎⋱⫍B22))⪢((⪎⋱⫍11C2⪄⪎⋱⫍C26⇼⇔∾(⪎⋱⫍14B8⋷⪎⋱⫍2C26))↺(↔⪎⋱⫍120B)⪢(⪎⋱⫍1BC3⪘⫢⪎⋱⫍641))","cot":[{"info":"⪎⋱⫍1C01⪢⪎⋱⫍13A5=NaN","layer":3},{"info":"⪎⋱⫍B94⫥∨⫟⪎⋱⫍C09=NaN","layer":3},{"info":"NaN⩨NaN=NaN","layer":2},{"info":"⪎⋱⫍3454↺⪎⋱⫍B22=⪎⋱⫍B22","layer":3},{"info":"-⪎⋱⫍B22=⪎⋱⫍-B22","layer":2},{"info":"NaN⩷∴⪎⋱⫍-B22=NaN","layer":1},{"info":"⪎⋱⫍11C2⪄⪎⋱⫍C26=⪎⋱⫍-102CCA","layer":3},{"info":"⪎⋱⫍14B8⋷⪎⋱⫍2C26=⪎⋱⫍4664","layer":3},{"info":"⪎⋱⫍-102CCA⇼⇔∾⪎⋱⫍4664=⪎⋱⫍107661","layer":2},{"info":"↔⪎⋱⫍120B=⪎⋱⫍-105B","layer":3},{"info":"⪎⋱⫍1BC3⪘⫢⪎⋱⫍641=⪎⋱⫍3A1C","layer":3},{"info":"⪎⋱⫍-105B⪢⪎⋱⫍3A1C=NaN","layer":2},{"info":"⪎⋱⫍107661↺NaN=NaN","layer":1},{"info":"NaN⪢NaN=NaN","layer":0}]}
{"id":660,"expression_no_base_symbol":"(($1022$∧)∲⫓$1003$∀⇚≩$2112$+($2432$⫩⊇)≧⫂∧($1594$⫌⩹⨱))⪄((⪲⇎$2938$)↛⩡⫤)⪮%⊝($5348$⊉≛↸$3781$⨸⪁($1461$+$5714$))","expression":"((⪎⋱⫍608∧)∲⫓⪎⋱⫍5C2∀⇚≩⪎⋱⫍C66+(⪎⋱⫍1151⫩⊇)≧⫂∧(⪎⋱⫍958⫌⩹⨱))⪄((⪲⇎⪎⋱⫍1450)↛⩡⫤)⪮%⊝(⪎⋱⫍2585⊉≛↸⪎⋱⫍194B⨸⪁(⪎⋱⫍885+⪎⋱⫍27A7))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":24840,"operation_count":14,"complexity_ratio":1774.2857142857142,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":1022,"base":13}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1003,"base":13},"right_expr":{"type":"numeric_atoms","value":2112,"base":13}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":2432,"base":13}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":1594,"base":13}}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":2938,"base":13}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":5348,"base":13},"right_expr":{"type":"numeric_atoms","value":3781,"base":13}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1461,"base":13},"right_expr":{"type":"numeric_atoms","value":5714,"base":13}}}}},"used_operators":["SUmda5xLS4","W4YGzv6Whe","i8ToyICDmI","z63VuFQld9","LRNGc0VcxI","Ph9nP6C5qx","BjRHVeLaeN","EBcxylXtPf","IWmyXbctLI","FU0Cs4j7VP","XPYlsWDdGa","g55IO6H4Gj","DZ8iAZOCBD"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍1A71","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1022","layer":4},{"info":"compute unary expreesion, input=1022, 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=1003","layer":4},{"info":"number node, value=2112","layer":4},{"info":"compute binary expreesion, left_input=1003, right_input=2112, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":2},{"info":"number node, value=2432","layer":4},{"info":"compute unary expreesion, input=2432, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-2390","layer":3},{"info":"number node, value=1594","layer":4},{"info":"compute unary expreesion, input=1594, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=4589","layer":3},{"info":"compute binary expreesion, left_input=-2390, right_input=4589, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=4116","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=4116, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=2938","layer":4},{"info":"compute unary expreesion, input=2938, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=5876","layer":3},{"info":"compute unary expreesion, input=5876, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-883365","layer":2},{"info":"number node, value=5348","layer":4},{"info":"number node, value=3781","layer":4},{"info":"compute binary expreesion, left_input=5348, right_input=3781, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=10696","layer":3},{"info":"number node, value=1461","layer":4},{"info":"number node, value=5714","layer":4},{"info":"compute binary expreesion, left_input=1461, right_input=5714, op_id = W4YGzv6Whe binary_op_definition= 'None', output=7175","layer":3},{"info":"compute binary expreesion, left_input=10696, right_input=7175, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=35742","layer":2},{"info":"compute binary expreesion, left_input=-883365, right_input=35742, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-1766414","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-1766414, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍608∧)∲⫓⪎⋱⫍5C2∀⇚≩⪎⋱⫍C66+(⪎⋱⫍1151⫩⊇)≧⫂∧(⪎⋱⫍958⫌⩹⨱))⪄((⪲⇎⪎⋱⫍1450)↛⩡⫤)⪮%⊝(⪎⋱⫍2585⊉≛↸⪎⋱⫍194B⨸⪁(⪎⋱⫍885+⪎⋱⫍27A7))=⪎⋱⫍1A71","reverse_text":"⪎⋱⫍1A71=((⪎⋱⫍608∧)∲⫓⪎⋱⫍5C2∀⇚≩⪎⋱⫍C66+(⪎⋱⫍1151⫩⊇)≧⫂∧(⪎⋱⫍958⫌⩹⨱))⪄((⪲⇎⪎⋱⫍1450)↛⩡⫤)⪮%⊝(⪎⋱⫍2585⊉≛↸⪎⋱⫍194B⨸⪁(⪎⋱⫍885+⪎⋱⫍27A7))","cot":[{"info":"⪎⋱⫍608∧=NaN","layer":3},{"info":"⪎⋱⫍5C2∀⇚≩⪎⋱⫍C66=NaN","layer":3},{"info":"NaN∲⫓NaN=NaN","layer":2},{"info":"⪎⋱⫍1151⫩⊇=⪎⋱⫍-111B","layer":3},{"info":"⪎⋱⫍958⫌⩹⨱=⪎⋱⫍2120","layer":3},{"info":"⪎⋱⫍-111B≧⫂∧⪎⋱⫍2120=⪎⋱⫍1B48","layer":2},{"info":"NaN+⪎⋱⫍1B48=NaN","layer":1},{"info":"⪲⇎⪎⋱⫍1450=⪎⋱⫍28A0","layer":3},{"info":"⪎⋱⫍28A0↛⩡⫤=⪎⋱⫍-24C102","layer":2},{"info":"⪎⋱⫍2585⊉≛↸⪎⋱⫍194B=⪎⋱⫍4B3A","layer":3},{"info":"⪎⋱⫍885+⪎⋱⫍27A7=⪎⋱⫍335C","layer":3},{"info":"⪎⋱⫍4B3A⨸⪁⪎⋱⫍335C=⪎⋱⫍13365","layer":2},{"info":"⪎⋱⫍-24C102⪮%⊝⪎⋱⫍13365=⪎⋱⫍-49B020","layer":1},{"info":"NaN⪄⪎⋱⫍-49B020=⪎⋱⫍1A71","layer":0}]}
{"id":661,"expression_no_base_symbol":"($2660$⨸⪁$1286$+$7802$⩷∴$1757$)⪛(⫓⪴(⨰⫟⨤$2641$))⨎($2067$⨰$6029$⇼⇔∾(∥⊫$7576$)/(⋗⩬⋾$2625$)⫥∨⫟$5537$≧⫂∧$3521$)","expression":"(⪎⋱⫍1298⨸⪁⪎⋱⫍77C+⪎⋱⫍3722⩷∴⪎⋱⫍A52)⪛(⫓⪴(⨰⫟⨤⪎⋱⫍1282))⨎(⪎⋱⫍C30⨰⪎⋱⫍298A⇼⇔∾(∥⊫⪎⋱⫍35AA)/(⋗⩬⋾⪎⋱⫍126C)⫥∨⫟⪎⋱⫍269C≧⫂∧⪎⋱⫍17AB)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":9911,"operation_count":14,"complexity_ratio":707.9285714285714,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2660,"base":13},"right_expr":{"type":"numeric_atoms","value":1286,"base":13}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":7802,"base":13},"right_expr":{"type":"numeric_atoms","value":1757,"base":13}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":2641,"base":13}}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2067,"base":13},"right_expr":{"type":"numeric_atoms","value":6029,"base":13}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":7576,"base":13}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":2625,"base":13}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":5537,"base":13},"right_expr":{"type":"numeric_atoms","value":3521,"base":13}}}}},"used_operators":["rJVOvQCfKK","uFcxV4UQCh","W4YGzv6Whe","g55IO6H4Gj","9FxExcQeMw","eLxqMNBOBk","Tw270M8GLb","XhwjNDsVaA","tifHPKVTfV","eewbuw0ToL","P8v4zCKN1o","KYD54nUTWz","DpFCA1CohY","Ph9nP6C5qx"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","9HNa5Wba9A","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2660","layer":4},{"info":"number node, value=1286","layer":4},{"info":"compute binary expreesion, left_input=2660, right_input=1286, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=7892","layer":3},{"info":"number node, value=7802","layer":4},{"info":"number node, value=1757","layer":4},{"info":"compute binary expreesion, left_input=7802, right_input=1757, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=12058","layer":3},{"info":"compute binary expreesion, left_input=7892, right_input=12058, op_id = W4YGzv6Whe binary_op_definition= 'None', output=19950","layer":2},{"info":"number node, value=2641","layer":4},{"info":"compute unary expreesion, input=2641, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=19950, 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=2067","layer":4},{"info":"number node, value=6029","layer":4},{"info":"compute binary expreesion, left_input=2067, right_input=6029, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-3952","layer":3},{"info":"number node, value=7576","layer":4},{"info":"compute unary expreesion, input=7576, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=8444","layer":3},{"info":"compute binary expreesion, left_input=-3952, right_input=8444, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=12396","layer":2},{"info":"number node, value=2625","layer":4},{"info":"compute unary expreesion, input=2625, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-7875","layer":3},{"info":"number node, value=5537","layer":4},{"info":"number node, value=3521","layer":4},{"info":"compute binary expreesion, left_input=5537, right_input=3521, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=3048","layer":3},{"info":"compute binary expreesion, left_input=-7875, right_input=3048, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=12396, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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":13,"result_base":13,"text":"(⪎⋱⫍1298⨸⪁⪎⋱⫍77C+⪎⋱⫍3722⩷∴⪎⋱⫍A52)⪛(⫓⪴(⨰⫟⨤⪎⋱⫍1282))⨎(⪎⋱⫍C30⨰⪎⋱⫍298A⇼⇔∾(∥⊫⪎⋱⫍35AA)/(⋗⩬⋾⪎⋱⫍126C)⫥∨⫟⪎⋱⫍269C≧⫂∧⪎⋱⫍17AB)=NaN","reverse_text":"NaN=(⪎⋱⫍1298⨸⪁⪎⋱⫍77C+⪎⋱⫍3722⩷∴⪎⋱⫍A52)⪛(⫓⪴(⨰⫟⨤⪎⋱⫍1282))⨎(⪎⋱⫍C30⨰⪎⋱⫍298A⇼⇔∾(∥⊫⪎⋱⫍35AA)/(⋗⩬⋾⪎⋱⫍126C)⫥∨⫟⪎⋱⫍269C≧⫂∧⪎⋱⫍17AB)","cot":[{"info":"⪎⋱⫍1298⨸⪁⪎⋱⫍77C=⪎⋱⫍3791","layer":3},{"info":"⪎⋱⫍3722⩷∴⪎⋱⫍A52=⪎⋱⫍5647","layer":3},{"info":"⪎⋱⫍3791+⪎⋱⫍5647=⪎⋱⫍9108","layer":2},{"info":"⨰⫟⨤⪎⋱⫍1282=NaN","layer":3},{"info":"⫓⪴NaN=NaN","layer":2},{"info":"⪎⋱⫍9108⪛NaN=NaN","layer":1},{"info":"⪎⋱⫍C30⨰⪎⋱⫍298A=⪎⋱⫍-1A50","layer":3},{"info":"∥⊫⪎⋱⫍35AA=⪎⋱⫍3AC7","layer":3},{"info":"⪎⋱⫍-1A50⇼⇔∾⪎⋱⫍3AC7=⪎⋱⫍5847","layer":2},{"info":"⋗⩬⋾⪎⋱⫍126C=⪎⋱⫍-377A","layer":3},{"info":"⪎⋱⫍269C≧⫂∧⪎⋱⫍17AB=⪎⋱⫍1506","layer":3},{"info":"⪎⋱⫍-377A⫥∨⫟⪎⋱⫍1506=NaN","layer":2},{"info":"⪎⋱⫍5847/NaN=NaN","layer":1},{"info":"NaN⨎NaN=NaN","layer":0}]}
{"id":662,"expression_no_base_symbol":"(($2733$⨟⋌⩍$8120$)⊴(∥⊫$2196$)⩚⊴⇥((⨵≀≌$1310$)⨵⪆$2804$⨳⩥⨓$1192$))∼(⨵≀≌($8579$⩨$6757$)∼($2286$⨐⩸⫘$1386$))","expression":"((⪎⋱⫍1323⨟⋌⩍⪎⋱⫍3908)⊴(∥⊫⪎⋱⫍CCC)⩚⊴⇥((⨵≀≌⪎⋱⫍79A)⨵⪆⪎⋱⫍1379⨳⩥⨓⪎⋱⫍709))∼(⨵≀≌(⪎⋱⫍3B9C⩨⪎⋱⫍30CA)∼(⪎⋱⫍106B⨐⩸⫘⪎⋱⫍828))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3099,"operation_count":12,"complexity_ratio":258.25,"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":2733,"base":13},"right_expr":{"type":"numeric_atoms","value":8120,"base":13}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":2196,"base":13}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1310,"base":13}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2804,"base":13},"right_expr":{"type":"numeric_atoms","value":1192,"base":13}}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":8579,"base":13},"right_expr":{"type":"numeric_atoms","value":6757,"base":13}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2286,"base":13},"right_expr":{"type":"numeric_atoms","value":1386,"base":13}}}}},"used_operators":["DyGG3AbaNP","NTOWxs364D","Nsiff2A1zJ","rGHVDoGpnC","P8v4zCKN1o","2DQ55sFlQl","srAu1WTS94","nCS4ZIUYfx","2DlMacCsIx","fu6greOZ01"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","dWAJyo7jo9","14qkJME0vr","Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2733","layer":4},{"info":"number node, value=8120","layer":4},{"info":"compute binary expreesion, left_input=2733, right_input=8120, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=2196","layer":4},{"info":"compute unary expreesion, input=2196, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=3064","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3064, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=1310","layer":4},{"info":"compute unary expreesion, input=1310, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-3930","layer":3},{"info":"number node, value=2804","layer":4},{"info":"number node, value=1192","layer":4},{"info":"compute binary expreesion, left_input=2804, right_input=1192, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-1612","layer":3},{"info":"compute binary expreesion, left_input=-3930, right_input=-1612, 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 = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":1},{"info":"number node, value=8579","layer":4},{"info":"number node, value=6757","layer":4},{"info":"compute binary expreesion, left_input=8579, right_input=6757, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=2286","layer":4},{"info":"number node, value=1386","layer":4},{"info":"compute binary expreesion, left_input=2286, right_input=1386, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=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":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 = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍1323⨟⋌⩍⪎⋱⫍3908)⊴(∥⊫⪎⋱⫍CCC)⩚⊴⇥((⨵≀≌⪎⋱⫍79A)⨵⪆⪎⋱⫍1379⨳⩥⨓⪎⋱⫍709))∼(⨵≀≌(⪎⋱⫍3B9C⩨⪎⋱⫍30CA)∼(⪎⋱⫍106B⨐⩸⫘⪎⋱⫍828))=NaN","reverse_text":"NaN=((⪎⋱⫍1323⨟⋌⩍⪎⋱⫍3908)⊴(∥⊫⪎⋱⫍CCC)⩚⊴⇥((⨵≀≌⪎⋱⫍79A)⨵⪆⪎⋱⫍1379⨳⩥⨓⪎⋱⫍709))∼(⨵≀≌(⪎⋱⫍3B9C⩨⪎⋱⫍30CA)∼(⪎⋱⫍106B⨐⩸⫘⪎⋱⫍828))","cot":[{"info":"⪎⋱⫍1323⨟⋌⩍⪎⋱⫍3908=NaN","layer":3},{"info":"∥⊫⪎⋱⫍CCC=⪎⋱⫍1519","layer":3},{"info":"NaN⊴⪎⋱⫍1519=NaN","layer":2},{"info":"⨵≀≌⪎⋱⫍79A=⪎⋱⫍-1A34","layer":3},{"info":"⪎⋱⫍1379⨳⩥⨓⪎⋱⫍709=⪎⋱⫍-970","layer":3},{"info":"⪎⋱⫍-1A34⨵⪆⪎⋱⫍-970=⪎⋱⫍C4","layer":2},{"info":"NaN⩚⊴⇥⪎⋱⫍C4=NaN","layer":1},{"info":"⪎⋱⫍3B9C⩨⪎⋱⫍30CA=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍106B⨐⩸⫘⪎⋱⫍828=NaN","layer":3},{"info":"⪎⋱⫍0∼NaN=NaN","layer":2},{"info":"⨵≀≌NaN=NaN","layer":1},{"info":"NaN∼NaN=NaN","layer":0}]}
{"id":663,"expression_no_base_symbol":"(↩($1520$⩷∴$1152$⫡⨏$3480$%$3228$))↪⪝","expression":"(↩(⪎⋱⫍8CC⩷∴⪎⋱⫍6A8⫡⨏⪎⋱⫍1779%⪎⋱⫍1614))↪⪝","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":730,"operation_count":5,"complexity_ratio":146.0,"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":1520,"base":13},"right_expr":{"type":"numeric_atoms","value":1152,"base":13}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":3480,"base":13},"right_expr":{"type":"numeric_atoms","value":3228,"base":13}}}}},"used_operators":["l07mrZUIn9","jLgFTUHLKL","QMFrweE19q","9FxExcQeMw","k8jYdgA6NY"],"dependent_operators":["9HNa5Wba9A","2DDjHMKMc0","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z"],"result":"-Inf","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1520","layer":4},{"info":"number node, value=1152","layer":4},{"info":"compute binary expreesion, left_input=1520, right_input=1152, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=704","layer":3},{"info":"number node, value=3480","layer":4},{"info":"number node, value=3228","layer":4},{"info":"compute binary expreesion, left_input=3480, right_input=3228, op_id = k8jYdgA6NY binary_op_definition= 'None', output=252","layer":3},{"info":"compute binary expreesion, left_input=704, right_input=252, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=4807","layer":2},{"info":"compute unary expreesion, input=4807, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-35676","layer":1},{"info":"compute unary expreesion, input=-35676, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=-inf","layer":0}],"base":13,"result_base":13,"text":"(↩(⪎⋱⫍8CC⩷∴⪎⋱⫍6A8⫡⨏⪎⋱⫍1779%⪎⋱⫍1614))↪⪝=-Inf","reverse_text":"-Inf=(↩(⪎⋱⫍8CC⩷∴⪎⋱⫍6A8⫡⨏⪎⋱⫍1779%⪎⋱⫍1614))↪⪝","cot":[{"info":"⪎⋱⫍8CC⩷∴⪎⋱⫍6A8=⪎⋱⫍422","layer":3},{"info":"⪎⋱⫍1779%⪎⋱⫍1614=⪎⋱⫍165","layer":3},{"info":"⪎⋱⫍422⫡⨏⪎⋱⫍165=⪎⋱⫍225A","layer":2},{"info":"↩⪎⋱⫍225A=⪎⋱⫍-13314","layer":1},{"info":"⪎⋱⫍-13314↪⪝=-Inf","layer":0}]}
{"id":664,"expression_no_base_symbol":"((($5375$⪨≂$1832$)⫸⊐$1544$⋝⋈⪟$6095$)+⇶⊼((↣≠⋷$2332$)⫡⨏$1009$⨪↰⇹$1777$))≧⫂∧(⪲⇎(↯⪼($1189$⩨$3065$)))","expression":"(((⪎⋱⫍25A6⪨≂⪎⋱⫍AAC)⫸⊐⪎⋱⫍91A⋝⋈⪟⪎⋱⫍2A0B)+⇶⊼((↣≠⋷⪎⋱⫍10A5)⫡⨏⪎⋱⫍5C8⨪↰⇹⪎⋱⫍A69))≧⫂∧(⪲⇎(↯⪼(⪎⋱⫍706⩨⪎⋱⫍151A)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1091,"operation_count":11,"complexity_ratio":99.18181818181819,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":5375,"base":13},"right_expr":{"type":"numeric_atoms","value":1832,"base":13}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1544,"base":13},"right_expr":{"type":"numeric_atoms","value":6095,"base":13}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":2332,"base":13}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1009,"base":13},"right_expr":{"type":"numeric_atoms","value":1777,"base":13}}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1189,"base":13},"right_expr":{"type":"numeric_atoms","value":3065,"base":13}}}}},"used_operators":["Ph9nP6C5qx","TpPTUOHfaN","mqXw5SEYmG","sdazOOVcIp","2DDjHMKMc0","QMFrweE19q","Asc51vEJeQ","tmPS8pqC7x","XPYlsWDdGa","8jW3W4yZS5","2DlMacCsIx"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","rJVOvQCfKK","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"⪎⋱⫍-308","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5375","layer":4},{"info":"number node, value=1832","layer":4},{"info":"compute binary expreesion, left_input=5375, right_input=1832, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=7188","layer":3},{"info":"number node, value=1544","layer":4},{"info":"number node, value=6095","layer":4},{"info":"compute binary expreesion, left_input=1544, right_input=6095, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1544","layer":3},{"info":"compute binary expreesion, left_input=7188, right_input=1544, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=6051","layer":2},{"info":"number node, value=2332","layer":4},{"info":"compute unary expreesion, input=2332, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=1009","layer":4},{"info":"number node, value=1777","layer":4},{"info":"compute binary expreesion, left_input=1009, right_input=1777, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1009","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1009, op_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=6051, 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=1189","layer":4},{"info":"number node, value=3065","layer":4},{"info":"compute binary expreesion, left_input=1189, right_input=3065, 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 = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":2},{"info":"compute unary expreesion, input=-21, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=-42","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-42, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-515","layer":0}],"base":13,"result_base":13,"text":"(((⪎⋱⫍25A6⪨≂⪎⋱⫍AAC)⫸⊐⪎⋱⫍91A⋝⋈⪟⪎⋱⫍2A0B)+⇶⊼((↣≠⋷⪎⋱⫍10A5)⫡⨏⪎⋱⫍5C8⨪↰⇹⪎⋱⫍A69))≧⫂∧(⪲⇎(↯⪼(⪎⋱⫍706⩨⪎⋱⫍151A)))=⪎⋱⫍-308","reverse_text":"⪎⋱⫍-308=(((⪎⋱⫍25A6⪨≂⪎⋱⫍AAC)⫸⊐⪎⋱⫍91A⋝⋈⪟⪎⋱⫍2A0B)+⇶⊼((↣≠⋷⪎⋱⫍10A5)⫡⨏⪎⋱⫍5C8⨪↰⇹⪎⋱⫍A69))≧⫂∧(⪲⇎(↯⪼(⪎⋱⫍706⩨⪎⋱⫍151A)))","cot":[{"info":"⪎⋱⫍25A6⪨≂⪎⋱⫍AAC=⪎⋱⫍336C","layer":3},{"info":"⪎⋱⫍91A⋝⋈⪟⪎⋱⫍2A0B=⪎⋱⫍91A","layer":3},{"info":"⪎⋱⫍336C⫸⊐⪎⋱⫍91A=⪎⋱⫍29A6","layer":2},{"info":"↣≠⋷⪎⋱⫍10A5=NaN","layer":3},{"info":"⪎⋱⫍5C8⨪↰⇹⪎⋱⫍A69=⪎⋱⫍5C8","layer":3},{"info":"NaN⫡⨏⪎⋱⫍5C8=NaN","layer":2},{"info":"⪎⋱⫍29A6+⇶⊼NaN=NaN","layer":1},{"info":"⪎⋱⫍706⩨⪎⋱⫍151A=⪎⋱⫍-6","layer":3},{"info":"↯⪼⪎⋱⫍-6=⪎⋱⫍-18","layer":2},{"info":"⪲⇎⪎⋱⫍-18=⪎⋱⫍-33","layer":1},{"info":"NaN≧⫂∧⪎⋱⫍-33=⪎⋱⫍-308","layer":0}]}
{"id":665,"expression_no_base_symbol":"(($4704$⊭↱$1793$-$1701$↺$2960$)≫≃)≭(↽≂($1149$∑⇟⊟$1026$)⪮%⊝(↩$3102$))","expression":"((⪎⋱⫍21AB⊭↱⪎⋱⫍A7C-⪎⋱⫍A0B↺⪎⋱⫍1469)≫≃)≭(↽≂(⪎⋱⫍6A5∑⇟⊟⪎⋱⫍60C)⪮%⊝(↩⪎⋱⫍1548))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":46,"operation_count":9,"complexity_ratio":5.111111111111111,"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":4704,"base":13},"right_expr":{"type":"numeric_atoms","value":1793,"base":13}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1701,"base":13},"right_expr":{"type":"numeric_atoms","value":2960,"base":13}}}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1149,"base":13},"right_expr":{"type":"numeric_atoms","value":1026,"base":13}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":3102,"base":13}}}}},"used_operators":["rxpJgHHUmx","X99M06cbEe","rysDP5nf3Z","COABgblf1C","7j4O788W3g","u6S6b8DprG","IWmyXbctLI","U7g4x0WXJJ","jLgFTUHLKL"],"dependent_operators":["AHs5Up7iyr","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4704","layer":4},{"info":"number node, value=1793","layer":4},{"info":"compute binary expreesion, left_input=4704, right_input=1793, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-5817","layer":3},{"info":"number node, value=1701","layer":4},{"info":"number node, value=2960","layer":4},{"info":"compute binary expreesion, left_input=1701, right_input=2960, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2960","layer":3},{"info":"compute binary expreesion, left_input=-5817, right_input=2960, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-8777","layer":2},{"info":"compute unary expreesion, input=-8777, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=-16153","layer":1},{"info":"number node, value=1149","layer":4},{"info":"number node, value=1026","layer":4},{"info":"compute binary expreesion, left_input=1149, right_input=1026, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=3102","layer":4},{"info":"compute unary expreesion, input=3102, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-22036","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-22036, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-16153, 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":13,"result_base":13,"text":"((⪎⋱⫍21AB⊭↱⪎⋱⫍A7C-⪎⋱⫍A0B↺⪎⋱⫍1469)≫≃)≭(↽≂(⪎⋱⫍6A5∑⇟⊟⪎⋱⫍60C)⪮%⊝(↩⪎⋱⫍1548))=NaN","reverse_text":"NaN=((⪎⋱⫍21AB⊭↱⪎⋱⫍A7C-⪎⋱⫍A0B↺⪎⋱⫍1469)≫≃)≭(↽≂(⪎⋱⫍6A5∑⇟⊟⪎⋱⫍60C)⪮%⊝(↩⪎⋱⫍1548))","cot":[{"info":"⪎⋱⫍21AB⊭↱⪎⋱⫍A7C=⪎⋱⫍-2856","layer":3},{"info":"⪎⋱⫍A0B↺⪎⋱⫍1469=⪎⋱⫍1469","layer":3},{"info":"⪎⋱⫍-2856-⪎⋱⫍1469=⪎⋱⫍-3CC2","layer":2},{"info":"⪎⋱⫍-3CC2≫≃=⪎⋱⫍-7477","layer":1},{"info":"⪎⋱⫍6A5∑⇟⊟⪎⋱⫍60C=NaN","layer":3},{"info":"↩⪎⋱⫍1548=⪎⋱⫍-A051","layer":3},{"info":"NaN⪮%⊝⪎⋱⫍-A051=NaN","layer":2},{"info":"↽≂NaN=NaN","layer":1},{"info":"⪎⋱⫍-7477≭NaN=NaN","layer":0}]}
{"id":666,"expression_no_base_symbol":"⨑⩽⪐(⩦⩻⨪(($6685$⪐)⪨≂($2319$⨵⪆$1215$)))","expression":"⨑⩽⪐(⩦⩻⨪((⪎⋱⫍3073⪐)⪨≂(⪎⋱⫍1095⨵⪆⪎⋱⫍726)))","highest_n_order":1,"priority_hierarchical_complexity":3,"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":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":6685,"base":13}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2319,"base":13},"right_expr":{"type":"numeric_atoms","value":1215,"base":13}}}}},"used_operators":["AF7qkfDlqP","2td37pGCOC","sdazOOVcIp","eH2TOUuTDT","2DQ55sFlQl"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍-BC42","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=6685","layer":4},{"info":"compute unary expreesion, input=6685, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=13370","layer":3},{"info":"number node, value=2319","layer":4},{"info":"number node, value=1215","layer":4},{"info":"compute binary expreesion, left_input=2319, right_input=1215, 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=13370, 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=26522","layer":2},{"info":"compute unary expreesion, input=26522, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=26522","layer":1},{"info":"compute unary expreesion, input=26522, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-26249","layer":0}],"base":13,"result_base":13,"text":"⨑⩽⪐(⩦⩻⨪((⪎⋱⫍3073⪐)⪨≂(⪎⋱⫍1095⨵⪆⪎⋱⫍726)))=⪎⋱⫍-BC42","reverse_text":"⪎⋱⫍-BC42=⨑⩽⪐(⩦⩻⨪((⪎⋱⫍3073⪐)⪨≂(⪎⋱⫍1095⨵⪆⪎⋱⫍726)))","cot":[{"info":"⪎⋱⫍3073⪐=⪎⋱⫍6116","layer":3},{"info":"⪎⋱⫍1095⨵⪆⪎⋱⫍726=⪎⋱⫍C4","layer":3},{"info":"⪎⋱⫍6116⪨≂⪎⋱⫍C4=⪎⋱⫍C0C2","layer":2},{"info":"⩦⩻⨪⪎⋱⫍C0C2=⪎⋱⫍C0C2","layer":1},{"info":"⨑⩽⪐⪎⋱⫍C0C2=⪎⋱⫍-BC42","layer":0}]}
{"id":667,"expression_no_base_symbol":"((∥⊫$4635$)⫸⊐$3530$⫥∨⫟$1423$)≧⫂∧(⨈⫕$1951$)⪢($5851$⋳⪒$2060$)≎⊠⪸(($1009$∲⫓$1033$)⋓($8926$%$3323$))≹⇙⪍(-$1395$≭$4092$)","expression":"((∥⊫⪎⋱⫍2157)⫸⊐⪎⋱⫍17B7⫥∨⫟⪎⋱⫍856)≧⫂∧(⨈⫕⪎⋱⫍B71)⪢(⪎⋱⫍2881⋳⪒⪎⋱⫍C26)≎⊠⪸((⪎⋱⫍5C8∲⫓⪎⋱⫍616)⋓(⪎⋱⫍40A8%⪎⋱⫍1688))≹⇙⪍(-⪎⋱⫍834≭⪎⋱⫍1B2A)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":9970,"operation_count":14,"complexity_ratio":712.1428571428571,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":4635,"base":13}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":3530,"base":13},"right_expr":{"type":"numeric_atoms","value":1423,"base":13}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":1951,"base":13}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":5851,"base":13},"right_expr":{"type":"numeric_atoms","value":2060,"base":13}}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1009,"base":13},"right_expr":{"type":"numeric_atoms","value":1033,"base":13}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":8926,"base":13},"right_expr":{"type":"numeric_atoms","value":3323,"base":13}}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1395,"base":13},"right_expr":{"type":"numeric_atoms","value":4092,"base":13}}}}},"used_operators":["bJkvcejdHO","Ph9nP6C5qx","mqXw5SEYmG","P8v4zCKN1o","KYD54nUTWz","dWAJyo7jo9","megm06wKyl","12rbrZMWeM","AHs5Up7iyr","T2fj7uvVaJ","i8ToyICDmI","k8jYdgA6NY","t8gj7n24qd","rxpJgHHUmx"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","k8jYdgA6NY","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","AHs5Up7iyr"],"result":"⪎⋱⫍52","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=4635","layer":4},{"info":"compute unary expreesion, input=4635, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=5503","layer":3},{"info":"number node, value=3530","layer":4},{"info":"number node, value=1423","layer":4},{"info":"compute binary expreesion, left_input=3530, right_input=1423, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=5503, 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=1951","layer":4},{"info":"compute unary expreesion, input=1951, 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=5851","layer":4},{"info":"number node, value=2060","layer":4},{"info":"compute binary expreesion, left_input=5851, right_input=2060, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=9355","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=9355, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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":"number node, value=1009","layer":4},{"info":"number node, value=1033","layer":4},{"info":"compute binary expreesion, left_input=1009, right_input=1033, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=8926","layer":4},{"info":"number node, value=3323","layer":4},{"info":"compute binary expreesion, left_input=8926, right_input=3323, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2280","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2280, op_id = T2fj7uvVaJ binary_op_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=1395","layer":4},{"info":"number node, value=4092","layer":4},{"info":"compute binary expreesion, left_input=1395, right_input=4092, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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 = t8gj7n24qd, unary_op_definition = 'None', 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 = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":0}],"base":13,"result_base":13,"text":"((∥⊫⪎⋱⫍2157)⫸⊐⪎⋱⫍17B7⫥∨⫟⪎⋱⫍856)≧⫂∧(⨈⫕⪎⋱⫍B71)⪢(⪎⋱⫍2881⋳⪒⪎⋱⫍C26)≎⊠⪸((⪎⋱⫍5C8∲⫓⪎⋱⫍616)⋓(⪎⋱⫍40A8%⪎⋱⫍1688))≹⇙⪍(-⪎⋱⫍834≭⪎⋱⫍1B2A)=⪎⋱⫍52","reverse_text":"⪎⋱⫍52=((∥⊫⪎⋱⫍2157)⫸⊐⪎⋱⫍17B7⫥∨⫟⪎⋱⫍856)≧⫂∧(⨈⫕⪎⋱⫍B71)⪢(⪎⋱⫍2881⋳⪒⪎⋱⫍C26)≎⊠⪸((⪎⋱⫍5C8∲⫓⪎⋱⫍616)⋓(⪎⋱⫍40A8%⪎⋱⫍1688))≹⇙⪍(-⪎⋱⫍834≭⪎⋱⫍1B2A)","cot":[{"info":"∥⊫⪎⋱⫍2157=⪎⋱⫍2674","layer":3},{"info":"⪎⋱⫍17B7⫥∨⫟⪎⋱⫍856=NaN","layer":3},{"info":"⪎⋱⫍2674⫸⊐NaN=NaN","layer":2},{"info":"⨈⫕⪎⋱⫍B71=⪎⋱⫍-18","layer":3},{"info":"⪎⋱⫍2881⋳⪒⪎⋱⫍C26=⪎⋱⫍4348","layer":3},{"info":"⪎⋱⫍-18⪢⪎⋱⫍4348=NaN","layer":2},{"info":"NaN≧⫂∧NaN=NaN","layer":1},{"info":"⪎⋱⫍5C8∲⫓⪎⋱⫍616=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍40A8%⪎⋱⫍1688=⪎⋱⫍1065","layer":3},{"info":"⪎⋱⫍0⋓⪎⋱⫍1065=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍834≭⪎⋱⫍1B2A=NaN","layer":3},{"info":"-NaN=NaN","layer":2},{"info":"⪎⋱⫍0≹⇙⪍NaN=NaN","layer":1},{"info":"NaN≎⊠⪸NaN=⪎⋱⫍52","layer":0}]}
{"id":668,"expression_no_base_symbol":"($6246$⫥∨⫟$1118$)⪛($1782$⪄$2285$)⇼⇔∾($1394$≹⇙⪍$1355$∲⫓$5303$%$1316$)⪒($2423$⊭↱$6330$%$3864$%$2865$)⩨(⨰⫟⨤$1896$)≧⫂∧$2342$⇷$1687$","expression":"(⪎⋱⫍2AC6⫥∨⫟⪎⋱⫍680)⪛(⪎⋱⫍A71⪄⪎⋱⫍106A)⇼⇔∾(⪎⋱⫍833≹⇙⪍⪎⋱⫍803∲⫓⪎⋱⫍254C%⪎⋱⫍7A3)⪒(⪎⋱⫍1145⊭↱⪎⋱⫍2B5C%⪎⋱⫍19B3%⪎⋱⫍13C5)⩨(⨰⫟⨤⪎⋱⫍B2B)≧⫂∧⪎⋱⫍10B2⇷⪎⋱⫍9CA","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":39823,"operation_count":15,"complexity_ratio":2654.866666666667,"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":6246,"base":13},"right_expr":{"type":"numeric_atoms","value":1118,"base":13}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1782,"base":13},"right_expr":{"type":"numeric_atoms","value":2285,"base":13}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1394,"base":13},"right_expr":{"type":"numeric_atoms","value":1355,"base":13}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":5303,"base":13},"right_expr":{"type":"numeric_atoms","value":1316,"base":13}}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":2423,"base":13},"right_expr":{"type":"numeric_atoms","value":6330,"base":13}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":3864,"base":13},"right_expr":{"type":"numeric_atoms","value":2865,"base":13}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":1896,"base":13}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2342,"base":13},"right_expr":{"type":"numeric_atoms","value":1687,"base":13}}}}},"used_operators":["f6k1SAg4EE","tifHPKVTfV","uFcxV4UQCh","KYD54nUTWz","SUmda5xLS4","i8ToyICDmI","AHs5Up7iyr","k8jYdgA6NY","2DlMacCsIx","COABgblf1C","Ph9nP6C5qx","Tw270M8GLb","mp7IySMOzn"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","8HhzD0ZcuI","rGHVDoGpnC","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","rysDP5nf3Z","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=6246","layer":4},{"info":"number node, value=1118","layer":4},{"info":"compute binary expreesion, left_input=6246, right_input=1118, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=1782","layer":4},{"info":"number node, value=2285","layer":4},{"info":"compute binary expreesion, left_input=1782, right_input=2285, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-268965","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-268965, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":2},{"info":"number node, value=1394","layer":4},{"info":"number node, value=1355","layer":4},{"info":"compute binary expreesion, left_input=1394, right_input=1355, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=5303","layer":4},{"info":"number node, value=1316","layer":4},{"info":"compute binary expreesion, left_input=5303, right_input=1316, op_id = k8jYdgA6NY binary_op_definition= 'None', output=39","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=39, 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 = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":1},{"info":"number node, value=2423","layer":4},{"info":"number node, value=6330","layer":4},{"info":"compute binary expreesion, left_input=2423, right_input=6330, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=7819","layer":3},{"info":"number node, value=3864","layer":4},{"info":"number node, value=2865","layer":4},{"info":"compute binary expreesion, left_input=3864, right_input=2865, op_id = k8jYdgA6NY binary_op_definition= 'None', output=999","layer":3},{"info":"compute binary expreesion, left_input=7819, right_input=999, op_id = k8jYdgA6NY binary_op_definition= 'None', output=826","layer":2},{"info":"number node, value=1896","layer":4},{"info":"compute unary expreesion, input=1896, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=2342","layer":4},{"info":"number node, value=1687","layer":4},{"info":"compute binary expreesion, left_input=2342, right_input=1687, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3374","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3374, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2901","layer":2},{"info":"compute binary expreesion, left_input=826, right_input=2901, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-9","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-9, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍2AC6⫥∨⫟⪎⋱⫍680)⪛(⪎⋱⫍A71⪄⪎⋱⫍106A)⇼⇔∾(⪎⋱⫍833≹⇙⪍⪎⋱⫍803∲⫓⪎⋱⫍254C%⪎⋱⫍7A3)⪒(⪎⋱⫍1145⊭↱⪎⋱⫍2B5C%⪎⋱⫍19B3%⪎⋱⫍13C5)⩨(⨰⫟⨤⪎⋱⫍B2B)≧⫂∧⪎⋱⫍10B2⇷⪎⋱⫍9CA=NaN","reverse_text":"NaN=(⪎⋱⫍2AC6⫥∨⫟⪎⋱⫍680)⪛(⪎⋱⫍A71⪄⪎⋱⫍106A)⇼⇔∾(⪎⋱⫍833≹⇙⪍⪎⋱⫍803∲⫓⪎⋱⫍254C%⪎⋱⫍7A3)⪒(⪎⋱⫍1145⊭↱⪎⋱⫍2B5C%⪎⋱⫍19B3%⪎⋱⫍13C5)⩨(⨰⫟⨤⪎⋱⫍B2B)≧⫂∧⪎⋱⫍10B2⇷⪎⋱⫍9CA","cot":[{"info":"⪎⋱⫍2AC6⫥∨⫟⪎⋱⫍680=NaN","layer":3},{"info":"⪎⋱⫍A71⪄⪎⋱⫍106A=⪎⋱⫍-95568","layer":3},{"info":"NaN⪛⪎⋱⫍-95568=NaN","layer":2},{"info":"⪎⋱⫍833≹⇙⪍⪎⋱⫍803=NaN","layer":3},{"info":"⪎⋱⫍254C%⪎⋱⫍7A3=⪎⋱⫍30","layer":3},{"info":"NaN∲⫓⪎⋱⫍30=NaN","layer":2},{"info":"NaN⇼⇔∾NaN=NaN","layer":1},{"info":"⪎⋱⫍1145⊭↱⪎⋱⫍2B5C=⪎⋱⫍3736","layer":3},{"info":"⪎⋱⫍19B3%⪎⋱⫍13C5=⪎⋱⫍5BB","layer":3},{"info":"⪎⋱⫍3736%⪎⋱⫍5BB=⪎⋱⫍4B7","layer":2},{"info":"⨰⫟⨤⪎⋱⫍B2B=NaN","layer":3},{"info":"⪎⋱⫍10B2⇷⪎⋱⫍9CA=⪎⋱⫍16C7","layer":3},{"info":"NaN≧⫂∧⪎⋱⫍16C7=⪎⋱⫍1422","layer":2},{"info":"⪎⋱⫍4B7⩨⪎⋱⫍1422=⪎⋱⫍-9","layer":1},{"info":"NaN⪒⪎⋱⫍-9=NaN","layer":0}]}
{"id":669,"expression_no_base_symbol":"((⫓⪴(⊥$1865$))⋥≓≎($3002$∀⇚≩$2224$)∀⇚≩$1003$∀⇚≩$4542$)⨰(($3618$⪛$1128$≣⋋)∧)","expression":"((⫓⪴(⊥⪎⋱⫍B06))⋥≓≎(⪎⋱⫍149C∀⇚≩⪎⋱⫍1021)∀⇚≩⪎⋱⫍5C2∀⇚≩⪎⋱⫍20B5)⨰((⪎⋱⫍1854⪛⪎⋱⫍68A≣⋋)∧)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":28294,"operation_count":10,"complexity_ratio":2829.4,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":1865,"base":13}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":3002,"base":13},"right_expr":{"type":"numeric_atoms","value":2224,"base":13}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1003,"base":13},"right_expr":{"type":"numeric_atoms","value":4542,"base":13}}}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":3618,"base":13},"right_expr":{"type":"numeric_atoms","value":1128,"base":13}}}}},"used_operators":["eewbuw0ToL","Qy55tPpLXF","eLxqMNBOBk","Q3PJZHRvZv","LRNGc0VcxI","z63VuFQld9","Tcnh7f0tEr","uFcxV4UQCh"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","fu6greOZ01","X99M06cbEe","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"⪎⋱⫍5C","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1865","layer":4},{"info":"compute unary expreesion, input=1865, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=nan","layer":2},{"info":"number node, value=3002","layer":4},{"info":"number node, value=2224","layer":4},{"info":"compute binary expreesion, left_input=3002, right_input=2224, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=1003","layer":4},{"info":"number node, value=4542","layer":4},{"info":"compute binary expreesion, left_input=1003, right_input=4542, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":1},{"info":"number node, value=3618","layer":4},{"info":"number node, value=1128","layer":4},{"info":"compute binary expreesion, left_input=3618, right_input=1128, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=234","layer":3},{"info":"compute unary expreesion, input=234, 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 = 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=67, right_input=0, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=77","layer":0}],"base":13,"result_base":13,"text":"((⫓⪴(⊥⪎⋱⫍B06))⋥≓≎(⪎⋱⫍149C∀⇚≩⪎⋱⫍1021)∀⇚≩⪎⋱⫍5C2∀⇚≩⪎⋱⫍20B5)⨰((⪎⋱⫍1854⪛⪎⋱⫍68A≣⋋)∧)=⪎⋱⫍5C","reverse_text":"⪎⋱⫍5C=((⫓⪴(⊥⪎⋱⫍B06))⋥≓≎(⪎⋱⫍149C∀⇚≩⪎⋱⫍1021)∀⇚≩⪎⋱⫍5C2∀⇚≩⪎⋱⫍20B5)⨰((⪎⋱⫍1854⪛⪎⋱⫍68A≣⋋)∧)","cot":[{"info":"⊥⪎⋱⫍B06=NaN","layer":3},{"info":"⫓⪴NaN=NaN","layer":2},{"info":"⪎⋱⫍149C∀⇚≩⪎⋱⫍1021=NaN","layer":3},{"info":"⪎⋱⫍5C2∀⇚≩⪎⋱⫍20B5=NaN","layer":3},{"info":"NaN∀⇚≩NaN=NaN","layer":2},{"info":"NaN⋥≓≎NaN=⪎⋱⫍52","layer":1},{"info":"⪎⋱⫍1854⪛⪎⋱⫍68A=⪎⋱⫍150","layer":3},{"info":"⪎⋱⫍150≣⋋=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍0∧=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍52⨰⪎⋱⫍0=⪎⋱⫍5C","layer":0}]}
{"id":670,"expression_no_base_symbol":"(↥($6142$⨵⪆$2162$)≧⫂∧($3364$⪄$3050$))∲⫓(≉(⫛⫱⨽($2824$-$3594$)))","expression":"(↥(⪎⋱⫍2A46⨵⪆⪎⋱⫍CA4)≧⫂∧(⪎⋱⫍16BA⪄⪎⋱⫍1508))∲⫓(≉(⫛⫱⨽(⪎⋱⫍1393-⪎⋱⫍1836)))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":11451,"operation_count":8,"complexity_ratio":1431.375,"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":6142,"base":13},"right_expr":{"type":"numeric_atoms","value":2162,"base":13}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":3364,"base":13},"right_expr":{"type":"numeric_atoms","value":3050,"base":13}}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2824,"base":13},"right_expr":{"type":"numeric_atoms","value":3594,"base":13}}}}},"used_operators":["i8ToyICDmI","A8NUZmVepG","Ph9nP6C5qx","2DQ55sFlQl","SUmda5xLS4","e1ybzncUwg","DlLNRPXxWL","rysDP5nf3Z"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC"],"result":"⪎⋱⫍35","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=6142","layer":4},{"info":"number node, value=2162","layer":4},{"info":"compute binary expreesion, left_input=6142, right_input=2162, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=3364","layer":4},{"info":"number node, value=3050","layer":4},{"info":"compute binary expreesion, left_input=3364, right_input=3050, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-506161","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-506161, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=506321","layer":2},{"info":"compute unary expreesion, input=506321, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=44","layer":1},{"info":"number node, value=2824","layer":4},{"info":"number node, value=3594","layer":4},{"info":"compute binary expreesion, left_input=2824, right_input=3594, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-770","layer":3},{"info":"compute unary expreesion, input=-770, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=531","layer":1},{"info":"compute binary expreesion, left_input=44, right_input=531, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=44","layer":0}],"base":13,"result_base":13,"text":"(↥(⪎⋱⫍2A46⨵⪆⪎⋱⫍CA4)≧⫂∧(⪎⋱⫍16BA⪄⪎⋱⫍1508))∲⫓(≉(⫛⫱⨽(⪎⋱⫍1393-⪎⋱⫍1836)))=⪎⋱⫍35","reverse_text":"⪎⋱⫍35=(↥(⪎⋱⫍2A46⨵⪆⪎⋱⫍CA4)≧⫂∧(⪎⋱⫍16BA⪄⪎⋱⫍1508))∲⫓(≉(⫛⫱⨽(⪎⋱⫍1393-⪎⋱⫍1836)))","cot":[{"info":"⪎⋱⫍2A46⨵⪆⪎⋱⫍CA4=⪎⋱⫍C4","layer":3},{"info":"⪎⋱⫍16BA⪄⪎⋱⫍1508=⪎⋱⫍-149506","layer":3},{"info":"⪎⋱⫍C4≧⫂∧⪎⋱⫍-149506=⪎⋱⫍1495CA","layer":2},{"info":"↥⪎⋱⫍1495CA=⪎⋱⫍35","layer":1},{"info":"⪎⋱⫍1393-⪎⋱⫍1836=⪎⋱⫍-473","layer":3},{"info":"⫛⫱⨽⪎⋱⫍-473=⪎⋱⫍0","layer":2},{"info":"≉⪎⋱⫍0=⪎⋱⫍31B","layer":1},{"info":"⪎⋱⫍35∲⫓⪎⋱⫍31B=⪎⋱⫍35","layer":0}]}
{"id":671,"expression_no_base_symbol":"(⇁⨣⪵$1832$⋓$4474$⨎(⊙↵-$4285$))⊴(($1347$⋝⋈⪟$1033$)↬($2118$⫥∨⫟$1386$)-($5209$⊭∹↮)⨰($1871$⋓$1447$))","expression":"(⇁⨣⪵⪎⋱⫍AAC⋓⪎⋱⫍2062⨎(⊙↵-⪎⋱⫍1C48))⊴((⪎⋱⫍7C8⋝⋈⪟⪎⋱⫍616)↬(⪎⋱⫍C6C⫥∨⫟⪎⋱⫍828)-(⪎⋱⫍24A9⊭∹↮)⨰(⪎⋱⫍B0C⋓⪎⋱⫍874))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4690,"operation_count":12,"complexity_ratio":390.8333333333333,"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":1832,"base":13},"right_expr":{"type":"numeric_atoms","value":4474,"base":13}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":4285,"base":13}}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1347,"base":13},"right_expr":{"type":"numeric_atoms","value":1033,"base":13}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2118,"base":13},"right_expr":{"type":"numeric_atoms","value":1386,"base":13}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":5209,"base":13}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1871,"base":13},"right_expr":{"type":"numeric_atoms","value":1447,"base":13}}}}},"used_operators":["Nsiff2A1zJ","inkyxCbjAn","rJVOvQCfKK","T2fj7uvVaJ","oWn0xqSxBt","rysDP5nf3Z","B5M0gjZbta","2DDjHMKMc0","KYD54nUTWz","eewbuw0ToL","xNBdhnnwKq"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","B5M0gjZbta","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1832","layer":4},{"info":"number node, value=4474","layer":4},{"info":"compute binary expreesion, left_input=1832, right_input=4474, op_id = T2fj7uvVaJ binary_op_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=4285","layer":4},{"info":"compute unary expreesion, input=4285, 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 = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-1","layer":2},{"info":"compute unary expreesion, input=-1, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=34","layer":1},{"info":"number node, value=1347","layer":4},{"info":"number node, value=1033","layer":4},{"info":"compute binary expreesion, left_input=1347, right_input=1033, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1347","layer":3},{"info":"number node, value=2118","layer":4},{"info":"number node, value=1386","layer":4},{"info":"compute binary expreesion, left_input=2118, right_input=1386, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1347, 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=5209","layer":4},{"info":"compute unary expreesion, input=5209, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=10418","layer":3},{"info":"number node, value=1871","layer":4},{"info":"number node, value=1447","layer":4},{"info":"compute binary expreesion, left_input=1871, right_input=1447, op_id = T2fj7uvVaJ binary_op_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=10418, right_input=0, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=10428","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=10428, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=34, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⇁⨣⪵⪎⋱⫍AAC⋓⪎⋱⫍2062⨎(⊙↵-⪎⋱⫍1C48))⊴((⪎⋱⫍7C8⋝⋈⪟⪎⋱⫍616)↬(⪎⋱⫍C6C⫥∨⫟⪎⋱⫍828)-(⪎⋱⫍24A9⊭∹↮)⨰(⪎⋱⫍B0C⋓⪎⋱⫍874))=NaN","reverse_text":"NaN=(⇁⨣⪵⪎⋱⫍AAC⋓⪎⋱⫍2062⨎(⊙↵-⪎⋱⫍1C48))⊴((⪎⋱⫍7C8⋝⋈⪟⪎⋱⫍616)↬(⪎⋱⫍C6C⫥∨⫟⪎⋱⫍828)-(⪎⋱⫍24A9⊭∹↮)⨰(⪎⋱⫍B0C⋓⪎⋱⫍874))","cot":[{"info":"⪎⋱⫍AAC⋓⪎⋱⫍2062=⪎⋱⫍0","layer":3},{"info":"⊙↵-⪎⋱⫍1C48=⪎⋱⫍-1","layer":3},{"info":"⪎⋱⫍0⨎⪎⋱⫍-1=⪎⋱⫍-1","layer":2},{"info":"⇁⨣⪵⪎⋱⫍-1=⪎⋱⫍28","layer":1},{"info":"⪎⋱⫍7C8⋝⋈⪟⪎⋱⫍616=⪎⋱⫍7C8","layer":3},{"info":"⪎⋱⫍C6C⫥∨⫟⪎⋱⫍828=NaN","layer":3},{"info":"⪎⋱⫍7C8↬NaN=NaN","layer":2},{"info":"⪎⋱⫍24A9⊭∹↮=⪎⋱⫍4985","layer":3},{"info":"⪎⋱⫍B0C⋓⪎⋱⫍874=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍4985⨰⪎⋱⫍0=⪎⋱⫍4992","layer":2},{"info":"NaN-⪎⋱⫍4992=NaN","layer":1},{"info":"⪎⋱⫍28⊴NaN=NaN","layer":0}]}
{"id":672,"expression_no_base_symbol":"↯⪼(($1755$∼$4120$)⨟⋌⩍($2093$⊭↱$3013$)∲⫓$2324$+⇶⊼$4234$⫥∨⫟($1922$+$2068$))","expression":"↯⪼((⪎⋱⫍A50∼⪎⋱⫍1B4C)⨟⋌⩍(⪎⋱⫍C50⊭↱⪎⋱⫍14AA)∲⫓⪎⋱⫍109A+⇶⊼⪎⋱⫍1C09⫥∨⫟(⪎⋱⫍B4B+⪎⋱⫍C31))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":232,"operation_count":8,"complexity_ratio":29.0,"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":1755,"base":13},"right_expr":{"type":"numeric_atoms","value":4120,"base":13}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":2093,"base":13},"right_expr":{"type":"numeric_atoms","value":3013,"base":13}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2324,"base":13},"right_expr":{"type":"numeric_atoms","value":4234,"base":13}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1922,"base":13},"right_expr":{"type":"numeric_atoms","value":2068,"base":13}}}}},"used_operators":["8jW3W4yZS5","i8ToyICDmI","rGHVDoGpnC","DyGG3AbaNP","COABgblf1C","KYD54nUTWz","TpPTUOHfaN","W4YGzv6Whe"],"dependent_operators":["eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","AHs5Up7iyr"],"result":"⪎⋱⫍-18","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1755","layer":4},{"info":"number node, value=4120","layer":4},{"info":"compute binary expreesion, left_input=1755, right_input=4120, 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=2093","layer":4},{"info":"number node, value=3013","layer":4},{"info":"compute binary expreesion, left_input=2093, right_input=3013, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=1845","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1845, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=2324","layer":4},{"info":"number node, value=4234","layer":4},{"info":"compute binary expreesion, left_input=2324, right_input=4234, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=1922","layer":4},{"info":"number node, value=2068","layer":4},{"info":"compute binary expreesion, left_input=1922, right_input=2068, op_id = W4YGzv6Whe binary_op_definition= 'None', output=3990","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3990, 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 = 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 = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":0}],"base":13,"result_base":13,"text":"↯⪼((⪎⋱⫍A50∼⪎⋱⫍1B4C)⨟⋌⩍(⪎⋱⫍C50⊭↱⪎⋱⫍14AA)∲⫓⪎⋱⫍109A+⇶⊼⪎⋱⫍1C09⫥∨⫟(⪎⋱⫍B4B+⪎⋱⫍C31))=⪎⋱⫍-18","reverse_text":"⪎⋱⫍-18=↯⪼((⪎⋱⫍A50∼⪎⋱⫍1B4C)⨟⋌⩍(⪎⋱⫍C50⊭↱⪎⋱⫍14AA)∲⫓⪎⋱⫍109A+⇶⊼⪎⋱⫍1C09⫥∨⫟(⪎⋱⫍B4B+⪎⋱⫍C31))","cot":[{"info":"⪎⋱⫍A50∼⪎⋱⫍1B4C=NaN","layer":3},{"info":"⪎⋱⫍C50⊭↱⪎⋱⫍14AA=⪎⋱⫍ABC","layer":3},{"info":"NaN⨟⋌⩍⪎⋱⫍ABC=NaN","layer":2},{"info":"⪎⋱⫍109A+⇶⊼⪎⋱⫍1C09=NaN","layer":3},{"info":"⪎⋱⫍B4B+⪎⋱⫍C31=⪎⋱⫍1A7C","layer":3},{"info":"NaN⫥∨⫟⪎⋱⫍1A7C=NaN","layer":2},{"info":"NaN∲⫓NaN=NaN","layer":1},{"info":"↯⪼NaN=⪎⋱⫍-18","layer":0}]}
{"id":673,"expression_no_base_symbol":"(((⫛⫱⨽$2323$)⨓($2891$↛⩡⫤))↬(↩($3416$∸)))⨟⋌⩍(⇁⨣⪵(($3008$⋫)⪨≂$7810$↺$5975$))","expression":"(((⫛⫱⨽⪎⋱⫍1099)⨓(⪎⋱⫍1415↛⩡⫤))↬(↩(⪎⋱⫍172A∸)))⨟⋌⩍(⇁⨣⪵((⪎⋱⫍14A5⋫)⪨≂⪎⋱⫍372A↺⪎⋱⫍2948))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":446076,"operation_count":11,"complexity_ratio":40552.36363636364,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":2323,"base":13}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":2891,"base":13}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":3416,"base":13}}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":3008,"base":13}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":7810,"base":13},"right_expr":{"type":"numeric_atoms","value":5975,"base":13}}}}},"used_operators":["rGHVDoGpnC","B5M0gjZbta","3ViojmjbAp","DlLNRPXxWL","FU0Cs4j7VP","jLgFTUHLKL","o20kRiQErp","inkyxCbjAn","sdazOOVcIp","JL8yIekQnl","7j4O788W3g"],"dependent_operators":["Tcnh7f0tEr","rGHVDoGpnC","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rGHVDoGpnC","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","tmPS8pqC7x","B5M0gjZbta","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2323","layer":4},{"info":"compute unary expreesion, input=2323, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=2891","layer":4},{"info":"compute unary expreesion, input=2891, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-432630","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-432630, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=432627","layer":2},{"info":"number node, value=3416","layer":4},{"info":"compute unary expreesion, input=3416, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"compute unary expreesion, input=177, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=1364","layer":2},{"info":"compute binary expreesion, left_input=432627, 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":1},{"info":"number node, value=3008","layer":4},{"info":"compute unary expreesion, input=3008, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=3008","layer":3},{"info":"number node, value=7810","layer":4},{"info":"number node, value=5975","layer":4},{"info":"compute binary expreesion, left_input=7810, right_input=5975, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=5975","layer":3},{"info":"compute binary expreesion, left_input=3008, right_input=5975, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-5832","layer":2},{"info":"compute unary expreesion, input=-5832, 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 = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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":13,"result_base":13,"text":"(((⫛⫱⨽⪎⋱⫍1099)⨓(⪎⋱⫍1415↛⩡⫤))↬(↩(⪎⋱⫍172A∸)))⨟⋌⩍(⇁⨣⪵((⪎⋱⫍14A5⋫)⪨≂⪎⋱⫍372A↺⪎⋱⫍2948))=NaN","reverse_text":"NaN=(((⫛⫱⨽⪎⋱⫍1099)⨓(⪎⋱⫍1415↛⩡⫤))↬(↩(⪎⋱⫍172A∸)))⨟⋌⩍(⇁⨣⪵((⪎⋱⫍14A5⋫)⪨≂⪎⋱⫍372A↺⪎⋱⫍2948))","cot":[{"info":"⫛⫱⨽⪎⋱⫍1099=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍1415↛⩡⫤=⪎⋱⫍-121BC3","layer":3},{"info":"⪎⋱⫍0⨓⪎⋱⫍-121BC3=⪎⋱⫍121BC0","layer":2},{"info":"⪎⋱⫍172A∸=⪎⋱⫍108","layer":3},{"info":"↩⪎⋱⫍108=⪎⋱⫍80C","layer":2},{"info":"⪎⋱⫍121BC0↬⪎⋱⫍80C=NaN","layer":1},{"info":"⪎⋱⫍14A5⋫=⪎⋱⫍14A5","layer":3},{"info":"⪎⋱⫍372A↺⪎⋱⫍2948=⪎⋱⫍2948","layer":3},{"info":"⪎⋱⫍14A5⪨≂⪎⋱⫍2948=⪎⋱⫍-2868","layer":2},{"info":"⇁⨣⪵⪎⋱⫍-2868=NaN","layer":1},{"info":"NaN⨟⋌⩍NaN=NaN","layer":0}]}
{"id":674,"expression_no_base_symbol":"($4956$⊴$5027$-$5217$↙$1973$)⫸⊐((⋗⩬⋾$1106$)⇼⇔∾($1361$⊭↱$8383$))⨸⪁($1564$⋳⪒$2709$⫥∨⫟($3556$≦≮≮))≹⇙⪍((⨈⫕$7379$)⊉≛↸(⊄⩳↩$1131$))","expression":"(⪎⋱⫍2343⊴⪎⋱⫍2399-⪎⋱⫍24B4↙⪎⋱⫍B8A)⫸⊐((⋗⩬⋾⪎⋱⫍671)⇼⇔∾(⪎⋱⫍809⊭↱⪎⋱⫍3A7B))⨸⪁(⪎⋱⫍934⋳⪒⪎⋱⫍1305⫥∨⫟(⪎⋱⫍1807≦≮≮))≹⇙⪍((⨈⫕⪎⋱⫍3488)⊉≛↸(⊄⩳↩⪎⋱⫍690))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":9347,"operation_count":15,"complexity_ratio":623.1333333333333,"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":4956,"base":13},"right_expr":{"type":"numeric_atoms","value":5027,"base":13}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":5217,"base":13},"right_expr":{"type":"numeric_atoms","value":1973,"base":13}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1106,"base":13}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1361,"base":13},"right_expr":{"type":"numeric_atoms","value":8383,"base":13}}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1564,"base":13},"right_expr":{"type":"numeric_atoms","value":2709,"base":13}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":3556,"base":13}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":7379,"base":13}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1131,"base":13}}}}},"used_operators":["g55IO6H4Gj","mqXw5SEYmG","rysDP5nf3Z","Nsiff2A1zJ","yyfyN0ffXY","tifHPKVTfV","DpFCA1CohY","COABgblf1C","AHs5Up7iyr","KYD54nUTWz","12rbrZMWeM","D4vGDi5EA2","DZ8iAZOCBD","megm06wKyl","8w2t5hMYqp"],"dependent_operators":["W4YGzv6Whe","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","dWAJyo7jo9","14qkJME0vr","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4956","layer":4},{"info":"number node, value=5027","layer":4},{"info":"compute binary expreesion, left_input=4956, right_input=5027, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=5217","layer":4},{"info":"number node, value=1973","layer":4},{"info":"compute binary expreesion, left_input=5217, right_input=1973, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-5919","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-5919, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=1106","layer":4},{"info":"compute unary expreesion, input=1106, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-3318","layer":3},{"info":"number node, value=1361","layer":4},{"info":"number node, value=8383","layer":4},{"info":"compute binary expreesion, left_input=1361, right_input=8383, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=14049","layer":3},{"info":"compute binary expreesion, left_input=-3318, right_input=14049, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=17367","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=17367, 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=1564","layer":4},{"info":"number node, value=2709","layer":4},{"info":"compute binary expreesion, left_input=1564, right_input=2709, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=132","layer":3},{"info":"number node, value=3556","layer":4},{"info":"compute unary expreesion, input=3556, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-10668","layer":3},{"info":"compute binary expreesion, left_input=132, right_input=-10668, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=7379","layer":4},{"info":"compute unary expreesion, input=7379, 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=1131","layer":4},{"info":"compute unary expreesion, input=1131, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-3393","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=-3393, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=-42","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-42, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍2343⊴⪎⋱⫍2399-⪎⋱⫍24B4↙⪎⋱⫍B8A)⫸⊐((⋗⩬⋾⪎⋱⫍671)⇼⇔∾(⪎⋱⫍809⊭↱⪎⋱⫍3A7B))⨸⪁(⪎⋱⫍934⋳⪒⪎⋱⫍1305⫥∨⫟(⪎⋱⫍1807≦≮≮))≹⇙⪍((⨈⫕⪎⋱⫍3488)⊉≛↸(⊄⩳↩⪎⋱⫍690))=NaN","reverse_text":"NaN=(⪎⋱⫍2343⊴⪎⋱⫍2399-⪎⋱⫍24B4↙⪎⋱⫍B8A)⫸⊐((⋗⩬⋾⪎⋱⫍671)⇼⇔∾(⪎⋱⫍809⊭↱⪎⋱⫍3A7B))⨸⪁(⪎⋱⫍934⋳⪒⪎⋱⫍1305⫥∨⫟(⪎⋱⫍1807≦≮≮))≹⇙⪍((⨈⫕⪎⋱⫍3488)⊉≛↸(⊄⩳↩⪎⋱⫍690))","cot":[{"info":"⪎⋱⫍2343⊴⪎⋱⫍2399=NaN","layer":3},{"info":"⪎⋱⫍24B4↙⪎⋱⫍B8A=⪎⋱⫍-2904","layer":3},{"info":"NaN-⪎⋱⫍-2904=NaN","layer":2},{"info":"⋗⩬⋾⪎⋱⫍671=⪎⋱⫍-1683","layer":3},{"info":"⪎⋱⫍809⊭↱⪎⋱⫍3A7B=⪎⋱⫍6519","layer":3},{"info":"⪎⋱⫍-1683⇼⇔∾⪎⋱⫍6519=⪎⋱⫍7B9C","layer":2},{"info":"NaN⫸⊐⪎⋱⫍7B9C=NaN","layer":1},{"info":"⪎⋱⫍934⋳⪒⪎⋱⫍1305=⪎⋱⫍A2","layer":3},{"info":"⪎⋱⫍1807≦≮≮=⪎⋱⫍-4B18","layer":3},{"info":"⪎⋱⫍A2⫥∨⫟⪎⋱⫍-4B18=NaN","layer":2},{"info":"⨈⫕⪎⋱⫍3488=⪎⋱⫍-18","layer":3},{"info":"⊄⩳↩⪎⋱⫍690=⪎⋱⫍-1710","layer":3},{"info":"⪎⋱⫍-18⊉≛↸⪎⋱⫍-1710=⪎⋱⫍-33","layer":2},{"info":"NaN≹⇙⪍⪎⋱⫍-33=NaN","layer":1},{"info":"NaN⨸⪁NaN=NaN","layer":0}]}
{"id":675,"expression_no_base_symbol":"↽≂(($1047$⊉≛↸$1513$+(⪲⇎$2692$))⊭∹↮)","expression":"↽≂((⪎⋱⫍627⊉≛↸⪎⋱⫍8C5+(⪲⇎⪎⋱⫍12C1))⊭∹↮)","highest_n_order":2,"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":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1047,"base":13},"right_expr":{"type":"numeric_atoms","value":1513,"base":13}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":2692,"base":13}}}}},"used_operators":["u6S6b8DprG","xNBdhnnwKq","W4YGzv6Whe","DZ8iAZOCBD","XPYlsWDdGa"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍-107CC","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1047","layer":4},{"info":"number node, value=1513","layer":4},{"info":"compute binary expreesion, left_input=1047, right_input=1513, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2094","layer":3},{"info":"number node, value=2692","layer":4},{"info":"compute unary expreesion, input=2692, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=5384","layer":3},{"info":"compute binary expreesion, left_input=2094, right_input=5384, op_id = W4YGzv6Whe binary_op_definition= 'None', output=7478","layer":2},{"info":"compute unary expreesion, input=7478, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=14956","layer":1},{"info":"compute unary expreesion, input=14956, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-29912","layer":0}],"base":13,"result_base":13,"text":"↽≂((⪎⋱⫍627⊉≛↸⪎⋱⫍8C5+(⪲⇎⪎⋱⫍12C1))⊭∹↮)=⪎⋱⫍-107CC","reverse_text":"⪎⋱⫍-107CC=↽≂((⪎⋱⫍627⊉≛↸⪎⋱⫍8C5+(⪲⇎⪎⋱⫍12C1))⊭∹↮)","cot":[{"info":"⪎⋱⫍627⊉≛↸⪎⋱⫍8C5=⪎⋱⫍C51","layer":3},{"info":"⪲⇎⪎⋱⫍12C1=⪎⋱⫍25B2","layer":3},{"info":"⪎⋱⫍C51+⪎⋱⫍25B2=⪎⋱⫍3533","layer":2},{"info":"⪎⋱⫍3533⊭∹↮=⪎⋱⫍6A66","layer":1},{"info":"↽≂⪎⋱⫍6A66=⪎⋱⫍-107CC","layer":0}]}
{"id":676,"expression_no_base_symbol":"(($2677$*$1777$⇼⇔∾$7306$⩚⊴⇥$4813$)⊦⊿)⇼⇔∾(($1089$≭$4939$)∼($3244$↪⪝)*($3166$⫸⊐$1522$)∼($2518$⇷$6137$))","expression":"((⪎⋱⫍12AC*⪎⋱⫍A69⇼⇔∾⪎⋱⫍3430⩚⊴⇥⪎⋱⫍2263)⊦⊿)⇼⇔∾((⪎⋱⫍65A≭⪎⋱⫍232C)∼(⪎⋱⫍1627↪⪝)*(⪎⋱⫍1597⫸⊐⪎⋱⫍901)∼(⪎⋱⫍11B9⇷⪎⋱⫍2A41))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":37895,"operation_count":12,"complexity_ratio":3157.9166666666665,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2677,"base":13},"right_expr":{"type":"numeric_atoms","value":1777,"base":13}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":7306,"base":13},"right_expr":{"type":"numeric_atoms","value":4813,"base":13}}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1089,"base":13},"right_expr":{"type":"numeric_atoms","value":4939,"base":13}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":3244,"base":13}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":3166,"base":13},"right_expr":{"type":"numeric_atoms","value":1522,"base":13}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2518,"base":13},"right_expr":{"type":"numeric_atoms","value":6137,"base":13}}}}},"used_operators":["tifHPKVTfV","14qkJME0vr","9HNa5Wba9A","NTOWxs364D","DyGG3AbaNP","rxpJgHHUmx","l07mrZUIn9","mqXw5SEYmG","mp7IySMOzn"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","AHs5Up7iyr","9HNa5Wba9A","2DDjHMKMc0","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2677","layer":4},{"info":"number node, value=1777","layer":4},{"info":"compute binary expreesion, left_input=2677, right_input=1777, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=4757029","layer":3},{"info":"number node, value=7306","layer":4},{"info":"number node, value=4813","layer":4},{"info":"compute binary expreesion, left_input=7306, right_input=4813, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-12240","layer":3},{"info":"compute binary expreesion, left_input=4757029, right_input=-12240, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-4769269","layer":2},{"info":"compute unary expreesion, input=-4769269, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=14307728","layer":1},{"info":"number node, value=1089","layer":4},{"info":"number node, value=4939","layer":4},{"info":"compute binary expreesion, left_input=1089, right_input=4939, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=3244","layer":4},{"info":"compute unary expreesion, input=3244, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=198474408","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=198474408, 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=3166","layer":4},{"info":"number node, value=1522","layer":4},{"info":"compute binary expreesion, left_input=3166, 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=5963","layer":3},{"info":"number node, value=2518","layer":4},{"info":"number node, value=6137","layer":4},{"info":"compute binary expreesion, left_input=2518, right_input=6137, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=12274","layer":3},{"info":"compute binary expreesion, left_input=5963, right_input=12274, 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 = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=14307728, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍12AC*⪎⋱⫍A69⇼⇔∾⪎⋱⫍3430⩚⊴⇥⪎⋱⫍2263)⊦⊿)⇼⇔∾((⪎⋱⫍65A≭⪎⋱⫍232C)∼(⪎⋱⫍1627↪⪝)*(⪎⋱⫍1597⫸⊐⪎⋱⫍901)∼(⪎⋱⫍11B9⇷⪎⋱⫍2A41))=NaN","reverse_text":"NaN=((⪎⋱⫍12AC*⪎⋱⫍A69⇼⇔∾⪎⋱⫍3430⩚⊴⇥⪎⋱⫍2263)⊦⊿)⇼⇔∾((⪎⋱⫍65A≭⪎⋱⫍232C)∼(⪎⋱⫍1627↪⪝)*(⪎⋱⫍1597⫸⊐⪎⋱⫍901)∼(⪎⋱⫍11B9⇷⪎⋱⫍2A41))","cot":[{"info":"⪎⋱⫍12AC*⪎⋱⫍A69=⪎⋱⫍CA7314","layer":3},{"info":"⪎⋱⫍3430⩚⊴⇥⪎⋱⫍2263=⪎⋱⫍-5757","layer":3},{"info":"⪎⋱⫍CA7314⇼⇔∾⪎⋱⫍-5757=⪎⋱⫍-CACA6B","layer":2},{"info":"⪎⋱⫍-CACA6B⊦⊿=⪎⋱⫍2C6C516","layer":1},{"info":"⪎⋱⫍65A≭⪎⋱⫍232C=NaN","layer":3},{"info":"⪎⋱⫍1627↪⪝=⪎⋱⫍32171AA2","layer":3},{"info":"NaN∼⪎⋱⫍32171AA2=NaN","layer":2},{"info":"⪎⋱⫍1597⫸⊐⪎⋱⫍901=⪎⋱⫍2939","layer":3},{"info":"⪎⋱⫍11B9⇷⪎⋱⫍2A41=⪎⋱⫍5782","layer":3},{"info":"⪎⋱⫍2939∼⪎⋱⫍5782=NaN","layer":2},{"info":"NaN*NaN=NaN","layer":1},{"info":"⪎⋱⫍2C6C516⇼⇔∾NaN=NaN","layer":0}]}
{"id":677,"expression_no_base_symbol":"⊙↵-(⪝⪂⫅((∥⊫$1784$)⨐⩸⫘($4563$/$3361$)))","expression":"⊙↵-(⪝⪂⫅((∥⊫⪎⋱⫍A73)⨐⩸⫘(⪎⋱⫍2100/⪎⋱⫍16B7)))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":653,"operation_count":5,"complexity_ratio":130.6,"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":1784,"base":13}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":4563,"base":13},"right_expr":{"type":"numeric_atoms","value":3361,"base":13}}}}},"used_operators":["oWn0xqSxBt","XTarYq4gQB","fu6greOZ01","P8v4zCKN1o","XhwjNDsVaA"],"dependent_operators":["dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","9HNa5Wba9A","8w2t5hMYqp","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"⪎⋱⫍-1","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1784","layer":4},{"info":"compute unary expreesion, input=1784, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2652","layer":3},{"info":"number node, value=4563","layer":4},{"info":"number node, value=3361","layer":4},{"info":"compute binary expreesion, left_input=4563, right_input=3361, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"compute binary expreesion, left_input=2652, 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":"compute unary expreesion, input=-4, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=588","layer":1},{"info":"compute unary expreesion, input=588, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":0}],"base":13,"result_base":13,"text":"⊙↵-(⪝⪂⫅((∥⊫⪎⋱⫍A73)⨐⩸⫘(⪎⋱⫍2100/⪎⋱⫍16B7)))=⪎⋱⫍-1","reverse_text":"⪎⋱⫍-1=⊙↵-(⪝⪂⫅((∥⊫⪎⋱⫍A73)⨐⩸⫘(⪎⋱⫍2100/⪎⋱⫍16B7)))","cot":[{"info":"∥⊫⪎⋱⫍A73=⪎⋱⫍1290","layer":3},{"info":"⪎⋱⫍2100/⪎⋱⫍16B7=⪎⋱⫍1","layer":3},{"info":"⪎⋱⫍1290⨐⩸⫘⪎⋱⫍1=⪎⋱⫍-4","layer":2},{"info":"⪝⪂⫅⪎⋱⫍-4=⪎⋱⫍363","layer":1},{"info":"⊙↵-⪎⋱⫍363=⪎⋱⫍-1","layer":0}]}
{"id":678,"expression_no_base_symbol":"(⩦⩻⨪(($3561$≦≮≮)⩨($2422$%$1366$)))⩨(($2823$⩚⊴⇥$6959$)∼(↔$5977$)-(⋗⩬⋾($1188$⨳⩥⨓$3865$)))","expression":"(⩦⩻⨪((⪎⋱⫍180C≦≮≮)⩨(⪎⋱⫍1144%⪎⋱⫍811)))⩨((⪎⋱⫍1392⩚⊴⇥⪎⋱⫍3224)∼(↔⪎⋱⫍294A)-(⋗⩬⋾(⪎⋱⫍705⨳⩥⨓⪎⋱⫍19B4)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":228,"operation_count":11,"complexity_ratio":20.727272727272727,"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":3561,"base":13}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2422,"base":13},"right_expr":{"type":"numeric_atoms","value":1366,"base":13}}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2823,"base":13},"right_expr":{"type":"numeric_atoms","value":6959,"base":13}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":5977,"base":13}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1188,"base":13},"right_expr":{"type":"numeric_atoms","value":3865,"base":13}}}}},"used_operators":["2DlMacCsIx","2td37pGCOC","D4vGDi5EA2","k8jYdgA6NY","rysDP5nf3Z","DyGG3AbaNP","NTOWxs364D","ruOEQAzv1W","DpFCA1CohY","nCS4ZIUYfx"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3561","layer":4},{"info":"compute unary expreesion, input=3561, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-10683","layer":3},{"info":"number node, value=2422","layer":4},{"info":"number node, value=1366","layer":4},{"info":"compute binary expreesion, left_input=2422, right_input=1366, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1056","layer":3},{"info":"compute binary expreesion, left_input=-10683, right_input=1056, 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 = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=3","layer":1},{"info":"number node, value=2823","layer":4},{"info":"number node, value=6959","layer":4},{"info":"compute binary expreesion, left_input=2823, right_input=6959, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-9903","layer":3},{"info":"number node, value=5977","layer":4},{"info":"compute unary expreesion, input=5977, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-5704","layer":3},{"info":"compute binary expreesion, left_input=-9903, right_input=-5704, 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=1188","layer":4},{"info":"number node, value=3865","layer":4},{"info":"compute binary expreesion, left_input=1188, right_input=3865, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=2677","layer":3},{"info":"compute unary expreesion, input=2677, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-8031","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-8031, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=3, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⩦⩻⨪((⪎⋱⫍180C≦≮≮)⩨(⪎⋱⫍1144%⪎⋱⫍811)))⩨((⪎⋱⫍1392⩚⊴⇥⪎⋱⫍3224)∼(↔⪎⋱⫍294A)-(⋗⩬⋾(⪎⋱⫍705⨳⩥⨓⪎⋱⫍19B4)))=NaN","reverse_text":"NaN=(⩦⩻⨪((⪎⋱⫍180C≦≮≮)⩨(⪎⋱⫍1144%⪎⋱⫍811)))⩨((⪎⋱⫍1392⩚⊴⇥⪎⋱⫍3224)∼(↔⪎⋱⫍294A)-(⋗⩬⋾(⪎⋱⫍705⨳⩥⨓⪎⋱⫍19B4)))","cot":[{"info":"⪎⋱⫍180C≦≮≮=⪎⋱⫍-4B2A","layer":3},{"info":"⪎⋱⫍1144%⪎⋱⫍811=⪎⋱⫍633","layer":3},{"info":"⪎⋱⫍-4B2A⩨⪎⋱⫍633=⪎⋱⫍3","layer":2},{"info":"⩦⩻⨪⪎⋱⫍3=⪎⋱⫍3","layer":1},{"info":"⪎⋱⫍1392⩚⊴⇥⪎⋱⫍3224=⪎⋱⫍-467A","layer":3},{"info":"↔⪎⋱⫍294A=⪎⋱⫍-279A","layer":3},{"info":"⪎⋱⫍-467A∼⪎⋱⫍-279A=NaN","layer":2},{"info":"⪎⋱⫍705⨳⩥⨓⪎⋱⫍19B4=⪎⋱⫍12AC","layer":3},{"info":"⋗⩬⋾⪎⋱⫍12AC=⪎⋱⫍-386A","layer":2},{"info":"NaN-⪎⋱⫍-386A=NaN","layer":1},{"info":"⪎⋱⫍3⩨NaN=NaN","layer":0}]}
{"id":679,"expression_no_base_symbol":"⋗⩬⋾(⨈⫕($5865$≎⊠⪸$5753$)⪢(↥$5518$))","expression":"⋗⩬⋾(⨈⫕(⪎⋱⫍2892≎⊠⪸⪎⋱⫍2807)⪢(↥⪎⋱⫍2686))","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":911912,"operation_count":5,"complexity_ratio":182382.4,"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":5865,"base":13},"right_expr":{"type":"numeric_atoms","value":5753,"base":13}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":5518,"base":13}}}}},"used_operators":["DpFCA1CohY","megm06wKyl","dWAJyo7jo9","bJkvcejdHO","A8NUZmVepG"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","k8jYdgA6NY","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","k8jYdgA6NY"],"result":"⪎⋱⫍4B","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5865","layer":4},{"info":"number node, value=5753","layer":4},{"info":"compute binary expreesion, left_input=5865, right_input=5753, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1518562","layer":3},{"info":"number node, value=5518","layer":4},{"info":"compute unary expreesion, input=5518, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=10","layer":3},{"info":"compute binary expreesion, left_input=1518562, right_input=10, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = 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 = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=63","layer":0}],"base":13,"result_base":13,"text":"⋗⩬⋾(⨈⫕(⪎⋱⫍2892≎⊠⪸⪎⋱⫍2807)⪢(↥⪎⋱⫍2686))=⪎⋱⫍4B","reverse_text":"⪎⋱⫍4B=⋗⩬⋾(⨈⫕(⪎⋱⫍2892≎⊠⪸⪎⋱⫍2807)⪢(↥⪎⋱⫍2686))","cot":[{"info":"⪎⋱⫍2892≎⊠⪸⪎⋱⫍2807=⪎⋱⫍412276","layer":3},{"info":"↥⪎⋱⫍2686=⪎⋱⫍A","layer":3},{"info":"⪎⋱⫍412276⪢⪎⋱⫍A=NaN","layer":2},{"info":"⨈⫕NaN=⪎⋱⫍-18","layer":1},{"info":"⋗⩬⋾⪎⋱⫍-18=⪎⋱⫍4B","layer":0}]}
{"id":680,"expression_no_base_symbol":"(($3347$⪨≂$2626$)⨪↰⇹($2438$⊭∹↮)⇼⇔∾($1357$⪛$3618$⇼⇔∾$2347$⨰$5053$))⨎((⪲⇎$3110$⨪↰⇹$1285$)⨸⪁(⪲⇎($1083$⊉≛↸$7575$)))","expression":"((⪎⋱⫍16A6⪨≂⪎⋱⫍1270)⨪↰⇹(⪎⋱⫍1157⊭∹↮)⇼⇔∾(⪎⋱⫍805⪛⪎⋱⫍1854⇼⇔∾⪎⋱⫍10B7⨰⪎⋱⫍23B9))⨎((⪲⇎⪎⋱⫍1553⨪↰⇹⪎⋱⫍77B)⨸⪁(⪲⇎(⪎⋱⫍654⊉≛↸⪎⋱⫍35A9)))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4689,"operation_count":13,"complexity_ratio":360.6923076923077,"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":3347,"base":13},"right_expr":{"type":"numeric_atoms","value":2626,"base":13}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":2438,"base":13}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1357,"base":13},"right_expr":{"type":"numeric_atoms","value":3618,"base":13}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2347,"base":13},"right_expr":{"type":"numeric_atoms","value":5053,"base":13}}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":3110,"base":13},"right_expr":{"type":"numeric_atoms","value":1285,"base":13}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1083,"base":13},"right_expr":{"type":"numeric_atoms","value":7575,"base":13}}}}},"used_operators":["rJVOvQCfKK","tifHPKVTfV","tmPS8pqC7x","sdazOOVcIp","xNBdhnnwKq","uFcxV4UQCh","eewbuw0ToL","g55IO6H4Gj","XPYlsWDdGa","DZ8iAZOCBD"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍97B5","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3347","layer":4},{"info":"number node, value=2626","layer":4},{"info":"compute binary expreesion, left_input=3347, right_input=2626, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=1544","layer":3},{"info":"number node, value=2438","layer":4},{"info":"compute unary expreesion, input=2438, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=4876","layer":3},{"info":"compute binary expreesion, left_input=1544, right_input=4876, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1544","layer":2},{"info":"number node, value=1357","layer":4},{"info":"number node, value=3618","layer":4},{"info":"compute binary expreesion, left_input=1357, right_input=3618, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1357","layer":3},{"info":"number node, value=2347","layer":4},{"info":"number node, value=5053","layer":4},{"info":"compute binary expreesion, left_input=2347, right_input=5053, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-2696","layer":3},{"info":"compute binary expreesion, left_input=1357, right_input=-2696, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-4053","layer":2},{"info":"compute binary expreesion, left_input=1544, right_input=-4053, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-5597","layer":1},{"info":"number node, value=3110","layer":4},{"info":"number node, value=1285","layer":4},{"info":"compute binary expreesion, left_input=3110, right_input=1285, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=3110","layer":3},{"info":"compute unary expreesion, input=3110, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=6220","layer":2},{"info":"number node, value=1083","layer":4},{"info":"number node, value=7575","layer":4},{"info":"compute binary expreesion, left_input=1083, right_input=7575, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2166","layer":3},{"info":"compute unary expreesion, input=2166, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=4332","layer":2},{"info":"compute binary expreesion, left_input=6220, right_input=4332, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=21104","layer":1},{"info":"compute binary expreesion, left_input=-5597, right_input=21104, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=21104","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍16A6⪨≂⪎⋱⫍1270)⨪↰⇹(⪎⋱⫍1157⊭∹↮)⇼⇔∾(⪎⋱⫍805⪛⪎⋱⫍1854⇼⇔∾⪎⋱⫍10B7⨰⪎⋱⫍23B9))⨎((⪲⇎⪎⋱⫍1553⨪↰⇹⪎⋱⫍77B)⨸⪁(⪲⇎(⪎⋱⫍654⊉≛↸⪎⋱⫍35A9)))=⪎⋱⫍97B5","reverse_text":"⪎⋱⫍97B5=((⪎⋱⫍16A6⪨≂⪎⋱⫍1270)⨪↰⇹(⪎⋱⫍1157⊭∹↮)⇼⇔∾(⪎⋱⫍805⪛⪎⋱⫍1854⇼⇔∾⪎⋱⫍10B7⨰⪎⋱⫍23B9))⨎((⪲⇎⪎⋱⫍1553⨪↰⇹⪎⋱⫍77B)⨸⪁(⪲⇎(⪎⋱⫍654⊉≛↸⪎⋱⫍35A9)))","cot":[{"info":"⪎⋱⫍16A6⪨≂⪎⋱⫍1270=⪎⋱⫍91A","layer":3},{"info":"⪎⋱⫍1157⊭∹↮=⪎⋱⫍22B1","layer":3},{"info":"⪎⋱⫍91A⨪↰⇹⪎⋱⫍22B1=⪎⋱⫍91A","layer":2},{"info":"⪎⋱⫍805⪛⪎⋱⫍1854=⪎⋱⫍805","layer":3},{"info":"⪎⋱⫍10B7⨰⪎⋱⫍23B9=⪎⋱⫍-12C5","layer":3},{"info":"⪎⋱⫍805⇼⇔∾⪎⋱⫍-12C5=⪎⋱⫍-1ACA","layer":2},{"info":"⪎⋱⫍91A⇼⇔∾⪎⋱⫍-1ACA=⪎⋱⫍-2717","layer":1},{"info":"⪎⋱⫍1553⨪↰⇹⪎⋱⫍77B=⪎⋱⫍1553","layer":3},{"info":"⪲⇎⪎⋱⫍1553=⪎⋱⫍2AA6","layer":2},{"info":"⪎⋱⫍654⊉≛↸⪎⋱⫍35A9=⪎⋱⫍CA8","layer":3},{"info":"⪲⇎⪎⋱⫍CA8=⪎⋱⫍1C83","layer":2},{"info":"⪎⋱⫍2AA6⨸⪁⪎⋱⫍1C83=⪎⋱⫍97B5","layer":1},{"info":"⪎⋱⫍-2717⨎⪎⋱⫍97B5=⪎⋱⫍97B5","layer":0}]}
{"id":681,"expression_no_base_symbol":"(⪝⪂⫅($3222$⨰$5428$⇼⇔∾(≦∁$1870$)))⫡⨏((($2700$-$1816$)⩠)/($1523$⪄$2957$)∼$5426$≹⇙⪍$2137$)","expression":"(⪝⪂⫅(⪎⋱⫍160B⨰⪎⋱⫍2617⇼⇔∾(≦∁⪎⋱⫍B0B)))⫡⨏(((⪎⋱⫍12C9-⪎⋱⫍A99)⩠)/(⪎⋱⫍902⪄⪎⋱⫍1466)∼⪎⋱⫍2615≹⇙⪍⪎⋱⫍C85)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4858,"operation_count":11,"complexity_ratio":441.6363636363636,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":3222,"base":13},"right_expr":{"type":"numeric_atoms","value":5428,"base":13}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":1870,"base":13}}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2700,"base":13},"right_expr":{"type":"numeric_atoms","value":1816,"base":13}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1523,"base":13},"right_expr":{"type":"numeric_atoms","value":2957,"base":13}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":5426,"base":13},"right_expr":{"type":"numeric_atoms","value":2137,"base":13}}}}},"used_operators":["QMFrweE19q","XTarYq4gQB","tifHPKVTfV","eewbuw0ToL","9ICcGScMcE","XhwjNDsVaA","sJAwomhLZr","rysDP5nf3Z","DyGG3AbaNP","SUmda5xLS4","AHs5Up7iyr"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3222","layer":4},{"info":"number node, value=5428","layer":4},{"info":"compute binary expreesion, left_input=3222, right_input=5428, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-2196","layer":3},{"info":"number node, value=1870","layer":4},{"info":"compute unary expreesion, input=1870, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1870","layer":3},{"info":"compute binary expreesion, left_input=-2196, right_input=1870, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=4066","layer":2},{"info":"compute unary expreesion, input=4066, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-597702","layer":1},{"info":"number node, value=2700","layer":4},{"info":"number node, value=1816","layer":4},{"info":"compute binary expreesion, left_input=2700, right_input=1816, op_id = rysDP5nf3Z binary_op_definition= 'None', output=884","layer":3},{"info":"compute unary expreesion, input=884, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":2},{"info":"number node, value=1523","layer":4},{"info":"number node, value=2957","layer":4},{"info":"compute binary expreesion, left_input=1523, right_input=2957, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-233321","layer":3},{"info":"number node, value=5426","layer":4},{"info":"number node, value=2137","layer":4},{"info":"compute binary expreesion, left_input=5426, right_input=2137, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=-233321, 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=0, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-597702, 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":13,"result_base":13,"text":"(⪝⪂⫅(⪎⋱⫍160B⨰⪎⋱⫍2617⇼⇔∾(≦∁⪎⋱⫍B0B)))⫡⨏(((⪎⋱⫍12C9-⪎⋱⫍A99)⩠)/(⪎⋱⫍902⪄⪎⋱⫍1466)∼⪎⋱⫍2615≹⇙⪍⪎⋱⫍C85)=NaN","reverse_text":"NaN=(⪝⪂⫅(⪎⋱⫍160B⨰⪎⋱⫍2617⇼⇔∾(≦∁⪎⋱⫍B0B)))⫡⨏(((⪎⋱⫍12C9-⪎⋱⫍A99)⩠)/(⪎⋱⫍902⪄⪎⋱⫍1466)∼⪎⋱⫍2615≹⇙⪍⪎⋱⫍C85)","cot":[{"info":"⪎⋱⫍160B⨰⪎⋱⫍2617=⪎⋱⫍-CCC","layer":3},{"info":"≦∁⪎⋱⫍B0B=⪎⋱⫍B0B","layer":3},{"info":"⪎⋱⫍-CCC⇼⇔∾⪎⋱⫍B0B=⪎⋱⫍1B0A","layer":2},{"info":"⪝⪂⫅⪎⋱⫍1B0A=⪎⋱⫍-17C091","layer":1},{"info":"⪎⋱⫍12C9-⪎⋱⫍A99=⪎⋱⫍530","layer":3},{"info":"⪎⋱⫍530⩠=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍902⪄⪎⋱⫍1466=⪎⋱⫍-8227A","layer":3},{"info":"⪎⋱⫍2615≹⇙⪍⪎⋱⫍C85=NaN","layer":3},{"info":"⪎⋱⫍-8227A∼NaN=NaN","layer":2},{"info":"⪎⋱⫍0/NaN=NaN","layer":1},{"info":"⪎⋱⫍-17C091⫡⨏NaN=NaN","layer":0}]}
{"id":682,"expression_no_base_symbol":"↥((↯⪼(⇁⨣⪵$1731$))⫡⨏$1452$⋝⋈⪟$1825$⊉≛↸($2207$⪒$1407$))","expression":"↥((↯⪼(⇁⨣⪵⪎⋱⫍A32))⫡⨏⪎⋱⫍879⋝⋈⪟⪎⋱⫍AA5⊉≛↸(⪎⋱⫍100A⪒⪎⋱⫍843))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":174,"operation_count":7,"complexity_ratio":24.857142857142858,"tree":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1731,"base":13}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1452,"base":13},"right_expr":{"type":"numeric_atoms","value":1825,"base":13}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2207,"base":13},"right_expr":{"type":"numeric_atoms","value":1407,"base":13}}}}},"used_operators":["A8NUZmVepG","QMFrweE19q","8jW3W4yZS5","inkyxCbjAn","DZ8iAZOCBD","2DDjHMKMc0","f6k1SAg4EE"],"dependent_operators":["k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","B5M0gjZbta","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍9","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1731","layer":4},{"info":"compute unary expreesion, input=1731, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', 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=1452","layer":4},{"info":"number node, value=1825","layer":4},{"info":"compute binary expreesion, left_input=1452, right_input=1825, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1452","layer":3},{"info":"number node, value=2207","layer":4},{"info":"number node, value=1407","layer":4},{"info":"compute binary expreesion, left_input=2207, right_input=1407, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-3614","layer":3},{"info":"compute binary expreesion, left_input=1452, right_input=-3614, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2904","layer":2},{"info":"compute binary expreesion, left_input=-21, right_input=2904, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=6486","layer":1},{"info":"compute unary expreesion, input=6486, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=9","layer":0}],"base":13,"result_base":13,"text":"↥((↯⪼(⇁⨣⪵⪎⋱⫍A32))⫡⨏⪎⋱⫍879⋝⋈⪟⪎⋱⫍AA5⊉≛↸(⪎⋱⫍100A⪒⪎⋱⫍843))=⪎⋱⫍9","reverse_text":"⪎⋱⫍9=↥((↯⪼(⇁⨣⪵⪎⋱⫍A32))⫡⨏⪎⋱⫍879⋝⋈⪟⪎⋱⫍AA5⊉≛↸(⪎⋱⫍100A⪒⪎⋱⫍843))","cot":[{"info":"⇁⨣⪵⪎⋱⫍A32=NaN","layer":3},{"info":"↯⪼NaN=⪎⋱⫍-18","layer":2},{"info":"⪎⋱⫍879⋝⋈⪟⪎⋱⫍AA5=⪎⋱⫍879","layer":3},{"info":"⪎⋱⫍100A⪒⪎⋱⫍843=⪎⋱⫍-1850","layer":3},{"info":"⪎⋱⫍879⊉≛↸⪎⋱⫍-1850=⪎⋱⫍1425","layer":2},{"info":"⪎⋱⫍-18⫡⨏⪎⋱⫍1425=⪎⋱⫍2C4C","layer":1},{"info":"↥⪎⋱⫍2C4C=⪎⋱⫍9","layer":0}]}
{"id":683,"expression_no_base_symbol":"((⫛⫱⨽($3361$≹⇙⪍$4037$))%($2133$⪛$1074$)⪢(+⊝⨔$2789$))⪒(($3298$⨸⪁$1850$∲⫓(≤/$1454$))≫≃)","expression":"((⫛⫱⨽(⪎⋱⫍16B7≹⇙⪍⪎⋱⫍1AB7))%(⪎⋱⫍C81⪛⪎⋱⫍648)⪢(+⊝⨔⪎⋱⫍1367))⪒((⪎⋱⫍1669⨸⪁⪎⋱⫍AC4∲⫓(≤/⪎⋱⫍87B))≫≃)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2495,"operation_count":11,"complexity_ratio":226.8181818181818,"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":3361,"base":13},"right_expr":{"type":"numeric_atoms","value":4037,"base":13}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2133,"base":13},"right_expr":{"type":"numeric_atoms","value":1074,"base":13}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":2789,"base":13}}}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":3298,"base":13},"right_expr":{"type":"numeric_atoms","value":1850,"base":13}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1454,"base":13}}}}},"used_operators":["f6k1SAg4EE","k8jYdgA6NY","DlLNRPXxWL","AHs5Up7iyr","dWAJyo7jo9","uFcxV4UQCh","DhbWaqg5eL","X99M06cbEe","i8ToyICDmI","g55IO6H4Gj","eLAdDNolq6"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rGHVDoGpnC","dWAJyo7jo9","k8jYdgA6NY","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3361","layer":4},{"info":"number node, value=4037","layer":4},{"info":"compute binary expreesion, left_input=3361, right_input=4037, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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 = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=nan","layer":2},{"info":"number node, value=2133","layer":4},{"info":"number node, value=1074","layer":4},{"info":"compute binary expreesion, left_input=2133, right_input=1074, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1059","layer":3},{"info":"number node, value=2789","layer":4},{"info":"compute unary expreesion, input=2789, 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=1059, 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=nan, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=3298","layer":4},{"info":"number node, value=1850","layer":4},{"info":"compute binary expreesion, left_input=3298, right_input=1850, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=10296","layer":3},{"info":"number node, value=1454","layer":4},{"info":"compute unary expreesion, input=1454, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-970","layer":3},{"info":"compute binary expreesion, left_input=10296, right_input=-970, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=10296","layer":2},{"info":"compute unary expreesion, input=10296, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=21993","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=21993, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⫛⫱⨽(⪎⋱⫍16B7≹⇙⪍⪎⋱⫍1AB7))%(⪎⋱⫍C81⪛⪎⋱⫍648)⪢(+⊝⨔⪎⋱⫍1367))⪒((⪎⋱⫍1669⨸⪁⪎⋱⫍AC4∲⫓(≤/⪎⋱⫍87B))≫≃)=NaN","reverse_text":"NaN=((⫛⫱⨽(⪎⋱⫍16B7≹⇙⪍⪎⋱⫍1AB7))%(⪎⋱⫍C81⪛⪎⋱⫍648)⪢(+⊝⨔⪎⋱⫍1367))⪒((⪎⋱⫍1669⨸⪁⪎⋱⫍AC4∲⫓(≤/⪎⋱⫍87B))≫≃)","cot":[{"info":"⪎⋱⫍16B7≹⇙⪍⪎⋱⫍1AB7=NaN","layer":3},{"info":"⫛⫱⨽NaN=NaN","layer":2},{"info":"⪎⋱⫍C81⪛⪎⋱⫍648=⪎⋱⫍636","layer":3},{"info":"+⊝⨔⪎⋱⫍1367=⪎⋱⫍901","layer":3},{"info":"⪎⋱⫍636⪢⪎⋱⫍901=NaN","layer":2},{"info":"NaN%NaN=NaN","layer":1},{"info":"⪎⋱⫍1669⨸⪁⪎⋱⫍AC4=⪎⋱⫍48C0","layer":3},{"info":"≤/⪎⋱⫍87B=⪎⋱⫍-598","layer":3},{"info":"⪎⋱⫍48C0∲⫓⪎⋱⫍-598=⪎⋱⫍48C0","layer":2},{"info":"⪎⋱⫍48C0≫≃=⪎⋱⫍A01A","layer":1},{"info":"NaN⪒⪎⋱⫍A01A=NaN","layer":0}]}
{"id":684,"expression_no_base_symbol":"(($1241$⨟⋌⩍$2923$⨵⪆(⊥$1016$))⨰(⨑⩽⪐$2402$)⨓(↽≂$4668$))∑⇟⊟(($1945$∲⫓$6218$)≹⇙⪍($1153$*$2791$)⋷$4513$≹⇙⪍$3081$⪒$3236$⋝⋈⪟$3449$)","expression":"((⪎⋱⫍746⨟⋌⩍⪎⋱⫍143B⨵⪆(⊥⪎⋱⫍602))⨰(⨑⩽⪐⪎⋱⫍112A)⨓(↽≂⪎⋱⫍2181))∑⇟⊟((⪎⋱⫍B68∲⫓⪎⋱⫍2AA4)≹⇙⪍(⪎⋱⫍6A9*⪎⋱⫍1369)⋷⪎⋱⫍2092≹⇙⪍⪎⋱⫍1530⪒⪎⋱⫍161C⋝⋈⪟⪎⋱⫍1754)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":10524,"operation_count":15,"complexity_ratio":701.6,"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":1241,"base":13},"right_expr":{"type":"numeric_atoms","value":2923,"base":13}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":1016,"base":13}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":2402,"base":13}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":4668,"base":13}}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1945,"base":13},"right_expr":{"type":"numeric_atoms","value":6218,"base":13}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1153,"base":13},"right_expr":{"type":"numeric_atoms","value":2791,"base":13}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":4513,"base":13},"right_expr":{"type":"numeric_atoms","value":3081,"base":13}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":3236,"base":13},"right_expr":{"type":"numeric_atoms","value":3449,"base":13}}}}},"used_operators":["U7g4x0WXJJ","eewbuw0ToL","2DQ55sFlQl","rGHVDoGpnC","Q3PJZHRvZv","3ViojmjbAp","AF7qkfDlqP","u6S6b8DprG","23Mk6UjR3U","AHs5Up7iyr","i8ToyICDmI","9HNa5Wba9A","f6k1SAg4EE","2DDjHMKMc0"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","fu6greOZ01","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1241","layer":4},{"info":"number node, value=2923","layer":4},{"info":"compute binary expreesion, left_input=1241, right_input=2923, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=1016","layer":4},{"info":"compute unary expreesion, input=1016, 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 = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=2402","layer":4},{"info":"compute unary expreesion, input=2402, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-2129","layer":3},{"info":"number node, value=4668","layer":4},{"info":"compute unary expreesion, input=4668, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-9336","layer":3},{"info":"compute binary expreesion, left_input=-2129, right_input=-9336, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=9333","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=9333, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-9163","layer":1},{"info":"number node, value=1945","layer":4},{"info":"number node, value=6218","layer":4},{"info":"compute binary expreesion, left_input=1945, right_input=6218, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=1153","layer":4},{"info":"number node, value=2791","layer":4},{"info":"compute binary expreesion, left_input=1153, right_input=2791, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=3218023","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=3218023, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=4513","layer":4},{"info":"number node, value=3081","layer":4},{"info":"compute binary expreesion, left_input=4513, right_input=3081, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=3236","layer":4},{"info":"number node, value=3449","layer":4},{"info":"compute binary expreesion, left_input=3236, right_input=3449, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3236","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3236, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-9163, right_input=nan, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍746⨟⋌⩍⪎⋱⫍143B⨵⪆(⊥⪎⋱⫍602))⨰(⨑⩽⪐⪎⋱⫍112A)⨓(↽≂⪎⋱⫍2181))∑⇟⊟((⪎⋱⫍B68∲⫓⪎⋱⫍2AA4)≹⇙⪍(⪎⋱⫍6A9*⪎⋱⫍1369)⋷⪎⋱⫍2092≹⇙⪍⪎⋱⫍1530⪒⪎⋱⫍161C⋝⋈⪟⪎⋱⫍1754)=NaN","reverse_text":"NaN=((⪎⋱⫍746⨟⋌⩍⪎⋱⫍143B⨵⪆(⊥⪎⋱⫍602))⨰(⨑⩽⪐⪎⋱⫍112A)⨓(↽≂⪎⋱⫍2181))∑⇟⊟((⪎⋱⫍B68∲⫓⪎⋱⫍2AA4)≹⇙⪍(⪎⋱⫍6A9*⪎⋱⫍1369)⋷⪎⋱⫍2092≹⇙⪍⪎⋱⫍1530⪒⪎⋱⫍161C⋝⋈⪟⪎⋱⫍1754)","cot":[{"info":"⪎⋱⫍746⨟⋌⩍⪎⋱⫍143B=NaN","layer":3},{"info":"⊥⪎⋱⫍602=NaN","layer":3},{"info":"NaN⨵⪆NaN=⪎⋱⫍C4","layer":2},{"info":"⨑⩽⪐⪎⋱⫍112A=⪎⋱⫍-C7A","layer":3},{"info":"↽≂⪎⋱⫍2181=⪎⋱⫍-4332","layer":3},{"info":"⪎⋱⫍-C7A⨓⪎⋱⫍-4332=⪎⋱⫍432C","layer":2},{"info":"⪎⋱⫍C4⨰⪎⋱⫍432C=⪎⋱⫍-422B","layer":1},{"info":"⪎⋱⫍B68∲⫓⪎⋱⫍2AA4=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍6A9*⪎⋱⫍1369=⪎⋱⫍888973","layer":3},{"info":"⪎⋱⫍0≹⇙⪍⪎⋱⫍888973=NaN","layer":2},{"info":"⪎⋱⫍2092≹⇙⪍⪎⋱⫍1530=NaN","layer":3},{"info":"⪎⋱⫍161C⋝⋈⪟⪎⋱⫍1754=⪎⋱⫍161C","layer":3},{"info":"NaN⪒⪎⋱⫍161C=NaN","layer":2},{"info":"NaN⋷NaN=NaN","layer":1},{"info":"⪎⋱⫍-422B∑⇟⊟NaN=NaN","layer":0}]}
{"id":685,"expression_no_base_symbol":"((∥⊫$2261$)⨳⩥⨓$3813$⋝⋈⪟$5339$+($1376$-$2276$)⋓($1089$⪨≂$6711$))↺(($1690$≧⫂∧$1564$)⪢(↽≂$7576$)⨳⩥⨓($2234$⨎$5240$)↬($1332$⋓$3670$))","expression":"((∥⊫⪎⋱⫍104C)⨳⩥⨓⪎⋱⫍1974⋝⋈⪟⪎⋱⫍2579+(⪎⋱⫍81B-⪎⋱⫍1061)⋓(⪎⋱⫍65A⪨≂⪎⋱⫍3093))↺((⪎⋱⫍A00≧⫂∧⪎⋱⫍934)⪢(↽≂⪎⋱⫍35AA)⨳⩥⨓(⪎⋱⫍102B⨎⪎⋱⫍2501)↬(⪎⋱⫍7B6⋓⪎⋱⫍1894))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":15206,"operation_count":15,"complexity_ratio":1013.7333333333333,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":2261,"base":13}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":3813,"base":13},"right_expr":{"type":"numeric_atoms","value":5339,"base":13}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1376,"base":13},"right_expr":{"type":"numeric_atoms","value":2276,"base":13}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1089,"base":13},"right_expr":{"type":"numeric_atoms","value":6711,"base":13}}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1690,"base":13},"right_expr":{"type":"numeric_atoms","value":1564,"base":13}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":7576,"base":13}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2234,"base":13},"right_expr":{"type":"numeric_atoms","value":5240,"base":13}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1332,"base":13},"right_expr":{"type":"numeric_atoms","value":3670,"base":13}}}}},"used_operators":["7j4O788W3g","W4YGzv6Whe","nCS4ZIUYfx","P8v4zCKN1o","2DDjHMKMc0","T2fj7uvVaJ","rysDP5nf3Z","sdazOOVcIp","dWAJyo7jo9","Ph9nP6C5qx","u6S6b8DprG","B5M0gjZbta","rJVOvQCfKK"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2261","layer":4},{"info":"compute unary expreesion, input=2261, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=3129","layer":3},{"info":"number node, value=3813","layer":4},{"info":"number node, value=5339","layer":4},{"info":"compute binary expreesion, left_input=3813, right_input=5339, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3813","layer":3},{"info":"compute binary expreesion, left_input=3129, right_input=3813, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=684","layer":2},{"info":"number node, value=1376","layer":4},{"info":"number node, value=2276","layer":4},{"info":"compute binary expreesion, left_input=1376, right_input=2276, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-900","layer":3},{"info":"number node, value=1089","layer":4},{"info":"number node, value=6711","layer":4},{"info":"compute binary expreesion, left_input=1089, right_input=6711, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-11142","layer":3},{"info":"compute binary expreesion, left_input=-900, right_input=-11142, op_id = T2fj7uvVaJ binary_op_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=684, right_input=0, op_id = W4YGzv6Whe binary_op_definition= 'None', output=684","layer":1},{"info":"number node, value=1690","layer":4},{"info":"number node, value=1564","layer":4},{"info":"compute binary expreesion, left_input=1690, right_input=1564, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1091","layer":3},{"info":"number node, value=7576","layer":4},{"info":"compute unary expreesion, input=7576, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-15152","layer":3},{"info":"compute binary expreesion, left_input=1091, right_input=-15152, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=2234","layer":4},{"info":"number node, value=5240","layer":4},{"info":"compute binary expreesion, left_input=2234, right_input=5240, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=5240","layer":3},{"info":"number node, value=1332","layer":4},{"info":"number node, value=3670","layer":4},{"info":"compute binary expreesion, left_input=1332, right_input=3670, op_id = T2fj7uvVaJ binary_op_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=5240, right_input=0, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=684, 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":13,"result_base":13,"text":"((∥⊫⪎⋱⫍104C)⨳⩥⨓⪎⋱⫍1974⋝⋈⪟⪎⋱⫍2579+(⪎⋱⫍81B-⪎⋱⫍1061)⋓(⪎⋱⫍65A⪨≂⪎⋱⫍3093))↺((⪎⋱⫍A00≧⫂∧⪎⋱⫍934)⪢(↽≂⪎⋱⫍35AA)⨳⩥⨓(⪎⋱⫍102B⨎⪎⋱⫍2501)↬(⪎⋱⫍7B6⋓⪎⋱⫍1894))=NaN","reverse_text":"NaN=((∥⊫⪎⋱⫍104C)⨳⩥⨓⪎⋱⫍1974⋝⋈⪟⪎⋱⫍2579+(⪎⋱⫍81B-⪎⋱⫍1061)⋓(⪎⋱⫍65A⪨≂⪎⋱⫍3093))↺((⪎⋱⫍A00≧⫂∧⪎⋱⫍934)⪢(↽≂⪎⋱⫍35AA)⨳⩥⨓(⪎⋱⫍102B⨎⪎⋱⫍2501)↬(⪎⋱⫍7B6⋓⪎⋱⫍1894))","cot":[{"info":"∥⊫⪎⋱⫍104C=⪎⋱⫍1569","layer":3},{"info":"⪎⋱⫍1974⋝⋈⪟⪎⋱⫍2579=⪎⋱⫍1974","layer":3},{"info":"⪎⋱⫍1569⨳⩥⨓⪎⋱⫍1974=⪎⋱⫍408","layer":2},{"info":"⪎⋱⫍81B-⪎⋱⫍1061=⪎⋱⫍-543","layer":3},{"info":"⪎⋱⫍65A⪨≂⪎⋱⫍3093=⪎⋱⫍-50C1","layer":3},{"info":"⪎⋱⫍-543⋓⪎⋱⫍-50C1=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍408+⪎⋱⫍0=⪎⋱⫍408","layer":1},{"info":"⪎⋱⫍A00≧⫂∧⪎⋱⫍934=⪎⋱⫍65C","layer":3},{"info":"↽≂⪎⋱⫍35AA=⪎⋱⫍-6B87","layer":3},{"info":"⪎⋱⫍65C⪢⪎⋱⫍-6B87=NaN","layer":2},{"info":"⪎⋱⫍102B⨎⪎⋱⫍2501=⪎⋱⫍2501","layer":3},{"info":"⪎⋱⫍7B6⋓⪎⋱⫍1894=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍2501↬⪎⋱⫍0=NaN","layer":2},{"info":"NaN⨳⩥⨓NaN=NaN","layer":1},{"info":"⪎⋱⫍408↺NaN=NaN","layer":0}]}
{"id":686,"expression_no_base_symbol":"(($1124$≹⇙⪍$4103$⨎(⨈⫕$4008$))≭($5200$⨳⩥⨓$1271$⪒(≤/$1960$)))⊴((($1859$⋫)⪒($1309$⋷$2422$))∀⇚≩($4869$↺$2786$⇼⇔∾$2089$⨐⩸⫘$1717$))","expression":"((⪎⋱⫍686≹⇙⪍⪎⋱⫍1B38⨎(⨈⫕⪎⋱⫍1A94))≭(⪎⋱⫍24A0⨳⩥⨓⪎⋱⫍76A⪒(≤/⪎⋱⫍B7A)))⊴(((⪎⋱⫍B00⋫)⪒(⪎⋱⫍799⋷⪎⋱⫍1144))∀⇚≩(⪎⋱⫍22A7↺⪎⋱⫍1364⇼⇔∾⪎⋱⫍C49⨐⩸⫘⪎⋱⫍A21))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":40031,"operation_count":15,"complexity_ratio":2668.733333333333,"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":1124,"base":13},"right_expr":{"type":"numeric_atoms","value":4103,"base":13}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":4008,"base":13}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":5200,"base":13},"right_expr":{"type":"numeric_atoms","value":1271,"base":13}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1960,"base":13}}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":1859,"base":13}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1309,"base":13},"right_expr":{"type":"numeric_atoms","value":2422,"base":13}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":4869,"base":13},"right_expr":{"type":"numeric_atoms","value":2786,"base":13}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2089,"base":13},"right_expr":{"type":"numeric_atoms","value":1717,"base":13}}}}},"used_operators":["Nsiff2A1zJ","rxpJgHHUmx","rJVOvQCfKK","AHs5Up7iyr","megm06wKyl","f6k1SAg4EE","nCS4ZIUYfx","eLAdDNolq6","LRNGc0VcxI","JL8yIekQnl","23Mk6UjR3U","tifHPKVTfV","7j4O788W3g","fu6greOZ01"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","AHs5Up7iyr","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","dWAJyo7jo9","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","X99M06cbEe","tmPS8pqC7x","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1124","layer":4},{"info":"number node, value=4103","layer":4},{"info":"compute binary expreesion, left_input=1124, right_input=4103, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=4008","layer":4},{"info":"compute unary expreesion, input=4008, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-21, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-21","layer":2},{"info":"number node, value=5200","layer":4},{"info":"number node, value=1271","layer":4},{"info":"compute binary expreesion, left_input=5200, right_input=1271, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-3929","layer":3},{"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":"compute binary expreesion, left_input=-3929, right_input=-1476, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=5405","layer":2},{"info":"compute binary expreesion, left_input=-21, right_input=5405, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=1859","layer":4},{"info":"compute unary expreesion, input=1859, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=1859","layer":3},{"info":"number node, value=1309","layer":4},{"info":"number node, value=2422","layer":4},{"info":"compute binary expreesion, left_input=1309, right_input=2422, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=3535","layer":3},{"info":"compute binary expreesion, left_input=1859, right_input=3535, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5394","layer":2},{"info":"number node, value=4869","layer":4},{"info":"number node, value=2786","layer":4},{"info":"compute binary expreesion, left_input=4869, right_input=2786, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2786","layer":3},{"info":"number node, value=2089","layer":4},{"info":"number node, value=1717","layer":4},{"info":"compute binary expreesion, left_input=2089, right_input=1717, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=2786, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-5394, 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 = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍686≹⇙⪍⪎⋱⫍1B38⨎(⨈⫕⪎⋱⫍1A94))≭(⪎⋱⫍24A0⨳⩥⨓⪎⋱⫍76A⪒(≤/⪎⋱⫍B7A)))⊴(((⪎⋱⫍B00⋫)⪒(⪎⋱⫍799⋷⪎⋱⫍1144))∀⇚≩(⪎⋱⫍22A7↺⪎⋱⫍1364⇼⇔∾⪎⋱⫍C49⨐⩸⫘⪎⋱⫍A21))=NaN","reverse_text":"NaN=((⪎⋱⫍686≹⇙⪍⪎⋱⫍1B38⨎(⨈⫕⪎⋱⫍1A94))≭(⪎⋱⫍24A0⨳⩥⨓⪎⋱⫍76A⪒(≤/⪎⋱⫍B7A)))⊴(((⪎⋱⫍B00⋫)⪒(⪎⋱⫍799⋷⪎⋱⫍1144))∀⇚≩(⪎⋱⫍22A7↺⪎⋱⫍1364⇼⇔∾⪎⋱⫍C49⨐⩸⫘⪎⋱⫍A21))","cot":[{"info":"⪎⋱⫍686≹⇙⪍⪎⋱⫍1B38=NaN","layer":3},{"info":"⨈⫕⪎⋱⫍1A94=⪎⋱⫍-18","layer":3},{"info":"NaN⨎⪎⋱⫍-18=⪎⋱⫍-18","layer":2},{"info":"⪎⋱⫍24A0⨳⩥⨓⪎⋱⫍76A=⪎⋱⫍-1A33","layer":3},{"info":"≤/⪎⋱⫍B7A=⪎⋱⫍-897","layer":3},{"info":"⪎⋱⫍-1A33⪒⪎⋱⫍-897=⪎⋱⫍25CA","layer":2},{"info":"⪎⋱⫍-18≭⪎⋱⫍25CA=NaN","layer":1},{"info":"⪎⋱⫍B00⋫=⪎⋱⫍B00","layer":3},{"info":"⪎⋱⫍799⋷⪎⋱⫍1144=⪎⋱⫍17BC","layer":3},{"info":"⪎⋱⫍B00⪒⪎⋱⫍17BC=⪎⋱⫍-25BC","layer":2},{"info":"⪎⋱⫍22A7↺⪎⋱⫍1364=⪎⋱⫍1364","layer":3},{"info":"⪎⋱⫍C49⨐⩸⫘⪎⋱⫍A21=NaN","layer":3},{"info":"⪎⋱⫍1364⇼⇔∾NaN=NaN","layer":2},{"info":"⪎⋱⫍-25BC∀⇚≩NaN=NaN","layer":1},{"info":"NaN⊴NaN=NaN","layer":0}]}
{"id":687,"expression_no_base_symbol":"((⫛⫱⨽$2223$)⫡⨏$1628$+⇶⊼$3207$)⋥≓≎(($1802$⩠)⨸⪁($1220$⩨$2119$))⩨(↩((⊥$1879$)⇼⇔∾(⨈⫕$1717$)))","expression":"((⫛⫱⨽⪎⋱⫍1020)⫡⨏⪎⋱⫍983+⇶⊼⪎⋱⫍15C9)⋥≓≎((⪎⋱⫍A88⩠)⨸⪁(⪎⋱⫍72B⩨⪎⋱⫍C70))⩨(↩((⊥⪎⋱⫍B17)⇼⇔∾(⨈⫕⪎⋱⫍A21)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1869,"operation_count":12,"complexity_ratio":155.75,"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":2223,"base":13}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1628,"base":13},"right_expr":{"type":"numeric_atoms","value":3207,"base":13}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":1802,"base":13}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1220,"base":13},"right_expr":{"type":"numeric_atoms","value":2119,"base":13}}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":1879,"base":13}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":1717,"base":13}}}}},"used_operators":["2DlMacCsIx","Qy55tPpLXF","QMFrweE19q","DlLNRPXxWL","TpPTUOHfaN","g55IO6H4Gj","sJAwomhLZr","jLgFTUHLKL","tifHPKVTfV","Q3PJZHRvZv","megm06wKyl"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","AHs5Up7iyr","W4YGzv6Whe","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","t8gj7n24qd","fu6greOZ01","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2223","layer":4},{"info":"compute unary expreesion, input=2223, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=1628","layer":4},{"info":"number node, value=3207","layer":4},{"info":"compute binary expreesion, left_input=1628, right_input=3207, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":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=1802","layer":4},{"info":"compute unary expreesion, input=1802, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"number node, value=1220","layer":4},{"info":"number node, value=2119","layer":4},{"info":"compute binary expreesion, left_input=1220, right_input=2119, 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 = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-6","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-6, 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=1879","layer":4},{"info":"compute unary expreesion, input=1879, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=1717","layer":4},{"info":"compute unary expreesion, input=1717, 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 = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⫛⫱⨽⪎⋱⫍1020)⫡⨏⪎⋱⫍983+⇶⊼⪎⋱⫍15C9)⋥≓≎((⪎⋱⫍A88⩠)⨸⪁(⪎⋱⫍72B⩨⪎⋱⫍C70))⩨(↩((⊥⪎⋱⫍B17)⇼⇔∾(⨈⫕⪎⋱⫍A21)))=NaN","reverse_text":"NaN=((⫛⫱⨽⪎⋱⫍1020)⫡⨏⪎⋱⫍983+⇶⊼⪎⋱⫍15C9)⋥≓≎((⪎⋱⫍A88⩠)⨸⪁(⪎⋱⫍72B⩨⪎⋱⫍C70))⩨(↩((⊥⪎⋱⫍B17)⇼⇔∾(⨈⫕⪎⋱⫍A21)))","cot":[{"info":"⫛⫱⨽⪎⋱⫍1020=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍983+⇶⊼⪎⋱⫍15C9=NaN","layer":3},{"info":"⪎⋱⫍0⫡⨏NaN=NaN","layer":2},{"info":"⪎⋱⫍A88⩠=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍72B⩨⪎⋱⫍C70=⪎⋱⫍-3","layer":3},{"info":"⪎⋱⫍0⨸⪁⪎⋱⫍-3=⪎⋱⫍-6","layer":2},{"info":"NaN⋥≓≎⪎⋱⫍-6=⪎⋱⫍52","layer":1},{"info":"⊥⪎⋱⫍B17=NaN","layer":3},{"info":"⨈⫕⪎⋱⫍A21=⪎⋱⫍-18","layer":3},{"info":"NaN⇼⇔∾⪎⋱⫍-18=NaN","layer":2},{"info":"↩NaN=NaN","layer":1},{"info":"⪎⋱⫍52⩨NaN=NaN","layer":0}]}
{"id":688,"expression_no_base_symbol":"(↯⪼(($3728$⩷∴$1657$)∼($1714$↙$1485$)))⋷($6678$⋥≓≎$7564$⩨($9257$-$7530$)≋⫹)","expression":"(↯⪼((⪎⋱⫍190A⩷∴⪎⋱⫍9A6)∼(⪎⋱⫍A1B↙⪎⋱⫍8A3)))⋷(⪎⋱⫍3069⋥≓≎⪎⋱⫍359B⩨(⪎⋱⫍42A1-⪎⋱⫍3573)≋⫹)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1621,"operation_count":9,"complexity_ratio":180.11111111111111,"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":3728,"base":13},"right_expr":{"type":"numeric_atoms","value":1657,"base":13}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1714,"base":13},"right_expr":{"type":"numeric_atoms","value":1485,"base":13}}}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":6678,"base":13},"right_expr":{"type":"numeric_atoms","value":7564,"base":13}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":9257,"base":13},"right_expr":{"type":"numeric_atoms","value":7530,"base":13}}}}},"used_operators":["23Mk6UjR3U","8jW3W4yZS5","DyGG3AbaNP","9FxExcQeMw","yyfyN0ffXY","N41Kp7NANJ","2DlMacCsIx","Qy55tPpLXF","rysDP5nf3Z"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍33","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3728","layer":4},{"info":"number node, value=1657","layer":4},{"info":"compute binary expreesion, left_input=3728, right_input=1657, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=4110","layer":3},{"info":"number node, value=1714","layer":4},{"info":"number node, value=1485","layer":4},{"info":"compute binary expreesion, left_input=1714, right_input=1485, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-4455","layer":3},{"info":"compute binary expreesion, left_input=4110, right_input=-4455, 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 = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":1},{"info":"number node, value=6678","layer":4},{"info":"number node, value=7564","layer":4},{"info":"compute binary expreesion, left_input=6678, right_input=7564, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=8483","layer":3},{"info":"number node, value=9257","layer":4},{"info":"number node, value=7530","layer":4},{"info":"compute binary expreesion, left_input=9257, right_input=7530, op_id = rysDP5nf3Z binary_op_definition= 'None', output=1727","layer":3},{"info":"compute binary expreesion, left_input=8483, right_input=1727, 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 = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-21, right_input=0, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=42","layer":0}],"base":13,"result_base":13,"text":"(↯⪼((⪎⋱⫍190A⩷∴⪎⋱⫍9A6)∼(⪎⋱⫍A1B↙⪎⋱⫍8A3)))⋷(⪎⋱⫍3069⋥≓≎⪎⋱⫍359B⩨(⪎⋱⫍42A1-⪎⋱⫍3573)≋⫹)=⪎⋱⫍33","reverse_text":"⪎⋱⫍33=(↯⪼((⪎⋱⫍190A⩷∴⪎⋱⫍9A6)∼(⪎⋱⫍A1B↙⪎⋱⫍8A3)))⋷(⪎⋱⫍3069⋥≓≎⪎⋱⫍359B⩨(⪎⋱⫍42A1-⪎⋱⫍3573)≋⫹)","cot":[{"info":"⪎⋱⫍190A⩷∴⪎⋱⫍9A6=⪎⋱⫍1B42","layer":3},{"info":"⪎⋱⫍A1B↙⪎⋱⫍8A3=⪎⋱⫍-2049","layer":3},{"info":"⪎⋱⫍1B42∼⪎⋱⫍-2049=NaN","layer":2},{"info":"↯⪼NaN=⪎⋱⫍-18","layer":1},{"info":"⪎⋱⫍3069⋥≓≎⪎⋱⫍359B=⪎⋱⫍3B27","layer":3},{"info":"⪎⋱⫍42A1-⪎⋱⫍3573=⪎⋱⫍A2B","layer":3},{"info":"⪎⋱⫍3B27⩨⪎⋱⫍A2B=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍0≋⫹=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍-18⋷⪎⋱⫍0=⪎⋱⫍33","layer":0}]}
{"id":689,"expression_no_base_symbol":"(($1737$+⇶⊼$1459$)⨰$5508$∑⇟⊟$1609$↺$4162$⨰$2471$⩚⊴⇥$3337$⨟⋌⩍$3642$)⫥∨⫟($3439$⨳⩥⨓$2932$⪒(⇁⨣⪵$1550$))⪘⫢(($8607$+$1052$)⇼⇔∾$3702$⇷$5528$)","expression":"((⪎⋱⫍A38+⇶⊼⪎⋱⫍883)⨰⪎⋱⫍2679∑⇟⊟⪎⋱⫍96A↺⪎⋱⫍1B82⨰⪎⋱⫍1181⩚⊴⇥⪎⋱⫍1699⨟⋌⩍⪎⋱⫍1872)⫥∨⫟(⪎⋱⫍1747⨳⩥⨓⪎⋱⫍1447⪒(⇁⨣⪵⪎⋱⫍923))⪘⫢((⪎⋱⫍3BC1+⪎⋱⫍62C)⇼⇔∾⪎⋱⫍18BA⇷⪎⋱⫍2693)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":52027,"operation_count":15,"complexity_ratio":3468.4666666666667,"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":1737,"base":13},"right_expr":{"type":"numeric_atoms","value":1459,"base":13}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":5508,"base":13},"right_expr":{"type":"numeric_atoms","value":1609,"base":13}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":4162,"base":13},"right_expr":{"type":"numeric_atoms","value":2471,"base":13}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":3337,"base":13},"right_expr":{"type":"numeric_atoms","value":3642,"base":13}}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":3439,"base":13},"right_expr":{"type":"numeric_atoms","value":2932,"base":13}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1550,"base":13}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":8607,"base":13},"right_expr":{"type":"numeric_atoms","value":1052,"base":13}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":3702,"base":13},"right_expr":{"type":"numeric_atoms","value":5528,"base":13}}}}},"used_operators":["KYD54nUTWz","7j4O788W3g","eewbuw0ToL","TpPTUOHfaN","U7g4x0WXJJ","NTOWxs364D","rGHVDoGpnC","oacrs7FA3X","f6k1SAg4EE","nCS4ZIUYfx","inkyxCbjAn","tifHPKVTfV","W4YGzv6Whe","mp7IySMOzn"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","Tcnh7f0tEr","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","B5M0gjZbta","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1737","layer":4},{"info":"number node, value=1459","layer":4},{"info":"compute binary expreesion, left_input=1737, right_input=1459, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=5508","layer":4},{"info":"number node, value=1609","layer":4},{"info":"compute binary expreesion, left_input=5508, right_input=1609, 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 = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":2},{"info":"number node, value=4162","layer":4},{"info":"number node, value=2471","layer":4},{"info":"compute binary expreesion, left_input=4162, right_input=2471, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1701","layer":3},{"info":"number node, value=3337","layer":4},{"info":"number node, value=3642","layer":4},{"info":"compute binary expreesion, left_input=3337, right_input=3642, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=1701, 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 = 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=3439","layer":4},{"info":"number node, value=2932","layer":4},{"info":"compute binary expreesion, left_input=3439, right_input=2932, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-507","layer":3},{"info":"number node, value=1550","layer":4},{"info":"compute unary expreesion, input=1550, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-507, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":2},{"info":"number node, value=8607","layer":4},{"info":"number node, value=1052","layer":4},{"info":"compute binary expreesion, left_input=8607, right_input=1052, op_id = W4YGzv6Whe binary_op_definition= 'None', output=9659","layer":3},{"info":"number node, value=3702","layer":4},{"info":"number node, value=5528","layer":4},{"info":"compute binary expreesion, left_input=3702, right_input=5528, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=11056","layer":3},{"info":"compute binary expreesion, left_input=9659, right_input=11056, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1397","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1397, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍A38+⇶⊼⪎⋱⫍883)⨰⪎⋱⫍2679∑⇟⊟⪎⋱⫍96A↺⪎⋱⫍1B82⨰⪎⋱⫍1181⩚⊴⇥⪎⋱⫍1699⨟⋌⩍⪎⋱⫍1872)⫥∨⫟(⪎⋱⫍1747⨳⩥⨓⪎⋱⫍1447⪒(⇁⨣⪵⪎⋱⫍923))⪘⫢((⪎⋱⫍3BC1+⪎⋱⫍62C)⇼⇔∾⪎⋱⫍18BA⇷⪎⋱⫍2693)=NaN","reverse_text":"NaN=((⪎⋱⫍A38+⇶⊼⪎⋱⫍883)⨰⪎⋱⫍2679∑⇟⊟⪎⋱⫍96A↺⪎⋱⫍1B82⨰⪎⋱⫍1181⩚⊴⇥⪎⋱⫍1699⨟⋌⩍⪎⋱⫍1872)⫥∨⫟(⪎⋱⫍1747⨳⩥⨓⪎⋱⫍1447⪒(⇁⨣⪵⪎⋱⫍923))⪘⫢((⪎⋱⫍3BC1+⪎⋱⫍62C)⇼⇔∾⪎⋱⫍18BA⇷⪎⋱⫍2693)","cot":[{"info":"⪎⋱⫍A38+⇶⊼⪎⋱⫍883=NaN","layer":3},{"info":"⪎⋱⫍2679∑⇟⊟⪎⋱⫍96A=NaN","layer":3},{"info":"NaN⨰NaN=NaN","layer":2},{"info":"⪎⋱⫍1B82⨰⪎⋱⫍1181=⪎⋱⫍A0B","layer":3},{"info":"⪎⋱⫍1699⨟⋌⩍⪎⋱⫍1872=NaN","layer":3},{"info":"⪎⋱⫍A0B⩚⊴⇥NaN=NaN","layer":2},{"info":"NaN↺NaN=NaN","layer":1},{"info":"⪎⋱⫍1747⨳⩥⨓⪎⋱⫍1447=⪎⋱⫍-300","layer":3},{"info":"⇁⨣⪵⪎⋱⫍923=NaN","layer":3},{"info":"⪎⋱⫍-300⪒NaN=NaN","layer":2},{"info":"⪎⋱⫍3BC1+⪎⋱⫍62C=⪎⋱⫍4520","layer":3},{"info":"⪎⋱⫍18BA⇷⪎⋱⫍2693=⪎⋱⫍5056","layer":3},{"info":"⪎⋱⫍4520⇼⇔∾⪎⋱⫍5056=⪎⋱⫍836","layer":2},{"info":"NaN⪘⫢⪎⋱⫍836=NaN","layer":1},{"info":"NaN⫥∨⫟NaN=NaN","layer":0}]}
{"id":690,"expression_no_base_symbol":"((⨈⫕(⩦⩻⨪$5090$))↙($2800$⩷∴$1412$⊦⊿))≭((⪲⇎$2889$⨪↰⇹$2720$)⇼⇔∾$1651$⋳⪒$1373$⋳⪒(≉$7302$))","expression":"((⨈⫕(⩦⩻⨪⪎⋱⫍2417))↙(⪎⋱⫍1375⩷∴⪎⋱⫍848⊦⊿))≭((⪲⇎⪎⋱⫍1413⨪↰⇹⪎⋱⫍1313)⇼⇔∾⪎⋱⫍9A0⋳⪒⪎⋱⫍818⋳⪒(≉⪎⋱⫍3429))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3312,"operation_count":12,"complexity_ratio":276.0,"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":5090,"base":13}}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2800,"base":13},"right_expr":{"type":"numeric_atoms","value":1412,"base":13}}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2889,"base":13},"right_expr":{"type":"numeric_atoms","value":2720,"base":13}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1651,"base":13},"right_expr":{"type":"numeric_atoms","value":1373,"base":13}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":7302,"base":13}}}}},"used_operators":["rxpJgHHUmx","yyfyN0ffXY","megm06wKyl","2td37pGCOC","14qkJME0vr","9FxExcQeMw","tifHPKVTfV","XPYlsWDdGa","tmPS8pqC7x","12rbrZMWeM","e1ybzncUwg"],"dependent_operators":["AHs5Up7iyr","tmPS8pqC7x","DpFCA1CohY","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5090","layer":4},{"info":"compute unary expreesion, input=5090, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=5090","layer":3},{"info":"compute unary expreesion, input=5090, 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=2800","layer":4},{"info":"number node, value=1412","layer":4},{"info":"compute binary expreesion, left_input=2800, right_input=1412, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=2744","layer":3},{"info":"compute unary expreesion, input=2744, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-8311","layer":2},{"info":"compute binary expreesion, left_input=-21, right_input=-8311, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-21","layer":1},{"info":"number node, value=2889","layer":4},{"info":"number node, value=2720","layer":4},{"info":"compute binary expreesion, left_input=2889, right_input=2720, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=2889","layer":3},{"info":"compute unary expreesion, input=2889, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=5778","layer":2},{"info":"number node, value=1651","layer":4},{"info":"number node, value=1373","layer":4},{"info":"compute binary expreesion, left_input=1651, right_input=1373, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=1642","layer":3},{"info":"number node, value=7302","layer":4},{"info":"compute unary expreesion, input=7302, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=7833","layer":3},{"info":"compute binary expreesion, left_input=1642, right_input=7833, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-4836","layer":2},{"info":"compute binary expreesion, left_input=5778, right_input=-4836, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-10614","layer":1},{"info":"compute binary expreesion, left_input=-21, right_input=-10614, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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":13,"result_base":13,"text":"((⨈⫕(⩦⩻⨪⪎⋱⫍2417))↙(⪎⋱⫍1375⩷∴⪎⋱⫍848⊦⊿))≭((⪲⇎⪎⋱⫍1413⨪↰⇹⪎⋱⫍1313)⇼⇔∾⪎⋱⫍9A0⋳⪒⪎⋱⫍818⋳⪒(≉⪎⋱⫍3429))=NaN","reverse_text":"NaN=((⨈⫕(⩦⩻⨪⪎⋱⫍2417))↙(⪎⋱⫍1375⩷∴⪎⋱⫍848⊦⊿))≭((⪲⇎⪎⋱⫍1413⨪↰⇹⪎⋱⫍1313)⇼⇔∾⪎⋱⫍9A0⋳⪒⪎⋱⫍818⋳⪒(≉⪎⋱⫍3429))","cot":[{"info":"⩦⩻⨪⪎⋱⫍2417=⪎⋱⫍2417","layer":3},{"info":"⨈⫕⪎⋱⫍2417=⪎⋱⫍-18","layer":2},{"info":"⪎⋱⫍1375⩷∴⪎⋱⫍848=⪎⋱⫍1331","layer":3},{"info":"⪎⋱⫍1331⊦⊿=⪎⋱⫍-3A24","layer":2},{"info":"⪎⋱⫍-18↙⪎⋱⫍-3A24=⪎⋱⫍-18","layer":1},{"info":"⪎⋱⫍1413⨪↰⇹⪎⋱⫍1313=⪎⋱⫍1413","layer":3},{"info":"⪲⇎⪎⋱⫍1413=⪎⋱⫍2826","layer":2},{"info":"⪎⋱⫍9A0⋳⪒⪎⋱⫍818=⪎⋱⫍994","layer":3},{"info":"≉⪎⋱⫍3429=⪎⋱⫍3747","layer":3},{"info":"⪎⋱⫍994⋳⪒⪎⋱⫍3747=⪎⋱⫍-2280","layer":2},{"info":"⪎⋱⫍2826⇼⇔∾⪎⋱⫍-2280=⪎⋱⫍-4AA6","layer":1},{"info":"⪎⋱⫍-18≭⪎⋱⫍-4AA6=NaN","layer":0}]}
{"id":691,"expression_no_base_symbol":"((⪲⇎$2588$)⪐)≹⇙⪍($1391$∀⇚≩$6209$⊦⊿)⫸⊐((($1009$⫡⨏$5203$)↺$4397$⋳⪒$2310$)⋫)","expression":"((⪲⇎⪎⋱⫍1241)⪐)≹⇙⪍(⪎⋱⫍830∀⇚≩⪎⋱⫍2A98⊦⊿)⫸⊐(((⪎⋱⫍5C8⫡⨏⪎⋱⫍24A3)↺⪎⋱⫍2003⋳⪒⪎⋱⫍1089)⋫)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":15965,"operation_count":10,"complexity_ratio":1596.5,"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":2588,"base":13}}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1391,"base":13},"right_expr":{"type":"numeric_atoms","value":6209,"base":13}}}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1009,"base":13},"right_expr":{"type":"numeric_atoms","value":5203,"base":13}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":4397,"base":13},"right_expr":{"type":"numeric_atoms","value":2310,"base":13}}}}},"used_operators":["mqXw5SEYmG","AHs5Up7iyr","eH2TOUuTDT","XPYlsWDdGa","14qkJME0vr","LRNGc0VcxI","JL8yIekQnl","7j4O788W3g","QMFrweE19q","12rbrZMWeM"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","tmPS8pqC7x","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2588","layer":4},{"info":"compute unary expreesion, input=2588, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=5176","layer":3},{"info":"compute unary expreesion, input=5176, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=10352","layer":2},{"info":"number node, value=1391","layer":4},{"info":"number node, value=6209","layer":4},{"info":"compute binary expreesion, left_input=1391, right_input=6209, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=10352, 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=1009","layer":4},{"info":"number node, value=5203","layer":4},{"info":"compute binary expreesion, left_input=1009, right_input=5203, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=16234","layer":3},{"info":"number node, value=4397","layer":4},{"info":"number node, value=2310","layer":4},{"info":"compute binary expreesion, left_input=4397, right_input=2310, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=6197","layer":3},{"info":"compute binary expreesion, left_input=16234, right_input=6197, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=6197","layer":2},{"info":"compute unary expreesion, input=6197, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=6197","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=6197, 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":13,"result_base":13,"text":"((⪲⇎⪎⋱⫍1241)⪐)≹⇙⪍(⪎⋱⫍830∀⇚≩⪎⋱⫍2A98⊦⊿)⫸⊐(((⪎⋱⫍5C8⫡⨏⪎⋱⫍24A3)↺⪎⋱⫍2003⋳⪒⪎⋱⫍1089)⋫)=NaN","reverse_text":"NaN=((⪲⇎⪎⋱⫍1241)⪐)≹⇙⪍(⪎⋱⫍830∀⇚≩⪎⋱⫍2A98⊦⊿)⫸⊐(((⪎⋱⫍5C8⫡⨏⪎⋱⫍24A3)↺⪎⋱⫍2003⋳⪒⪎⋱⫍1089)⋫)","cot":[{"info":"⪲⇎⪎⋱⫍1241=⪎⋱⫍2482","layer":3},{"info":"⪎⋱⫍2482⪐=⪎⋱⫍4934","layer":2},{"info":"⪎⋱⫍830∀⇚≩⪎⋱⫍2A98=NaN","layer":3},{"info":"NaN⊦⊿=NaN","layer":2},{"info":"⪎⋱⫍4934≹⇙⪍NaN=NaN","layer":1},{"info":"⪎⋱⫍5C8⫡⨏⪎⋱⫍24A3=⪎⋱⫍750A","layer":3},{"info":"⪎⋱⫍2003⋳⪒⪎⋱⫍1089=⪎⋱⫍2A89","layer":3},{"info":"⪎⋱⫍750A↺⪎⋱⫍2A89=⪎⋱⫍2A89","layer":2},{"info":"⪎⋱⫍2A89⋫=⪎⋱⫍2A89","layer":1},{"info":"NaN⫸⊐⪎⋱⫍2A89=NaN","layer":0}]}
{"id":692,"expression_no_base_symbol":"(⨞⊢$2809$⋓$2534$)∑⇟⊟(⪲⇎$4135$⪮%⊝$2150$)⨰(∥⊫(⊥($1494$⪄$1678$)))","expression":"(⨞⊢⪎⋱⫍1381⋓⪎⋱⫍11CC)∑⇟⊟(⪲⇎⪎⋱⫍1B61⪮%⊝⪎⋱⫍C95)⨰(∥⊫(⊥(⪎⋱⫍8AC⪄⪎⋱⫍9C1)))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":132,"operation_count":9,"complexity_ratio":14.666666666666666,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2809,"base":13},"right_expr":{"type":"numeric_atoms","value":2534,"base":13}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":4135,"base":13},"right_expr":{"type":"numeric_atoms","value":2150,"base":13}}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1494,"base":13},"right_expr":{"type":"numeric_atoms","value":1678,"base":13}}}}},"used_operators":["eewbuw0ToL","U7g4x0WXJJ","xUOZtlo3hN","T2fj7uvVaJ","XPYlsWDdGa","IWmyXbctLI","P8v4zCKN1o","Q3PJZHRvZv","SUmda5xLS4"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","fu6greOZ01","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2809","layer":4},{"info":"number node, value=2534","layer":4},{"info":"compute binary expreesion, left_input=2809, right_input=2534, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-174","layer":2},{"info":"number node, value=4135","layer":4},{"info":"number node, value=2150","layer":4},{"info":"compute binary expreesion, left_input=4135, right_input=2150, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=8586","layer":3},{"info":"compute unary expreesion, input=8586, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=17172","layer":2},{"info":"compute binary expreesion, left_input=-174, right_input=17172, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=1494","layer":4},{"info":"number node, value=1678","layer":4},{"info":"compute binary expreesion, left_input=1494, right_input=1678, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-223913","layer":3},{"info":"compute unary expreesion, input=-223913, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⨞⊢⪎⋱⫍1381⋓⪎⋱⫍11CC)∑⇟⊟(⪲⇎⪎⋱⫍1B61⪮%⊝⪎⋱⫍C95)⨰(∥⊫(⊥(⪎⋱⫍8AC⪄⪎⋱⫍9C1)))=NaN","reverse_text":"NaN=(⨞⊢⪎⋱⫍1381⋓⪎⋱⫍11CC)∑⇟⊟(⪲⇎⪎⋱⫍1B61⪮%⊝⪎⋱⫍C95)⨰(∥⊫(⊥(⪎⋱⫍8AC⪄⪎⋱⫍9C1)))","cot":[{"info":"⪎⋱⫍1381⋓⪎⋱⫍11CC=⪎⋱⫍0","layer":3},{"info":"⨞⊢⪎⋱⫍0=⪎⋱⫍-105","layer":2},{"info":"⪎⋱⫍1B61⪮%⊝⪎⋱⫍C95=⪎⋱⫍3BA6","layer":3},{"info":"⪲⇎⪎⋱⫍3BA6=⪎⋱⫍7A7C","layer":2},{"info":"⪎⋱⫍-105∑⇟⊟⪎⋱⫍7A7C=NaN","layer":1},{"info":"⪎⋱⫍8AC⪄⪎⋱⫍9C1=⪎⋱⫍-7ABC1","layer":3},{"info":"⊥⪎⋱⫍-7ABC1=NaN","layer":2},{"info":"∥⊫NaN=NaN","layer":1},{"info":"NaN⨰NaN=NaN","layer":0}]}
{"id":693,"expression_no_base_symbol":"∥⊫((↣≠⋷($1747$⋫))-(⪲⇎$1861$)⩷∴(⪲⇎$3736$))","expression":"∥⊫((↣≠⋷(⪎⋱⫍A45⋫))-(⪲⇎⪎⋱⫍B02)⩷∴(⪲⇎⪎⋱⫍1915))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1764,"operation_count":7,"complexity_ratio":252.0,"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":1747,"base":13}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1861,"base":13}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":3736,"base":13}}}}},"used_operators":["P8v4zCKN1o","rysDP5nf3Z","Asc51vEJeQ","JL8yIekQnl","9FxExcQeMw","XPYlsWDdGa"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","tmPS8pqC7x","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1747","layer":4},{"info":"compute unary expreesion, input=1747, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=1747","layer":3},{"info":"compute unary expreesion, input=1747, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"number node, value=1861","layer":4},{"info":"compute unary expreesion, input=1861, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=3722","layer":3},{"info":"number node, value=3736","layer":4},{"info":"compute unary expreesion, input=3736, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=7472","layer":3},{"info":"compute binary expreesion, left_input=3722, right_input=7472, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-7532","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-7532, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"∥⊫((↣≠⋷(⪎⋱⫍A45⋫))-(⪲⇎⪎⋱⫍B02)⩷∴(⪲⇎⪎⋱⫍1915))=NaN","reverse_text":"NaN=∥⊫((↣≠⋷(⪎⋱⫍A45⋫))-(⪲⇎⪎⋱⫍B02)⩷∴(⪲⇎⪎⋱⫍1915))","cot":[{"info":"⪎⋱⫍A45⋫=⪎⋱⫍A45","layer":3},{"info":"↣≠⋷⪎⋱⫍A45=NaN","layer":2},{"info":"⪲⇎⪎⋱⫍B02=⪎⋱⫍1904","layer":3},{"info":"⪲⇎⪎⋱⫍1915=⪎⋱⫍352A","layer":3},{"info":"⪎⋱⫍1904⩷∴⪎⋱⫍352A=⪎⋱⫍-3575","layer":2},{"info":"NaN-⪎⋱⫍-3575=NaN","layer":1},{"info":"∥⊫NaN=NaN","layer":0}]}
{"id":694,"expression_no_base_symbol":"(($3354$⨳⩥⨓$1043$)⪢(⫛⫱⨽$2499$)-$2829$+⇶⊼$3122$+⇶⊼($1665$-$1302$))∀⇚≩(↽≂$5194$⩚⊴⇥$2145$⩚⊴⇥(↔$1076$))","expression":"((⪎⋱⫍16B0⨳⩥⨓⪎⋱⫍623)⪢(⫛⫱⨽⪎⋱⫍11A3)-⪎⋱⫍1398+⇶⊼⪎⋱⫍1562+⇶⊼(⪎⋱⫍9B1-⪎⋱⫍792))∀⇚≩(↽≂⪎⋱⫍2497⩚⊴⇥⪎⋱⫍C90⩚⊴⇥(↔⪎⋱⫍64A))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1447,"operation_count":12,"complexity_ratio":120.58333333333333,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":3354,"base":13},"right_expr":{"type":"numeric_atoms","value":1043,"base":13}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":2499,"base":13}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2829,"base":13},"right_expr":{"type":"numeric_atoms","value":3122,"base":13}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1665,"base":13},"right_expr":{"type":"numeric_atoms","value":1302,"base":13}}}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":5194,"base":13},"right_expr":{"type":"numeric_atoms","value":2145,"base":13}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":1076,"base":13}}}}},"used_operators":["LRNGc0VcxI","rysDP5nf3Z","dWAJyo7jo9","nCS4ZIUYfx","DlLNRPXxWL","TpPTUOHfaN","u6S6b8DprG","NTOWxs364D","ruOEQAzv1W"],"dependent_operators":["X99M06cbEe","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","rGHVDoGpnC","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3354","layer":4},{"info":"number node, value=1043","layer":4},{"info":"compute binary expreesion, left_input=3354, right_input=1043, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-2311","layer":3},{"info":"number node, value=2499","layer":4},{"info":"compute unary expreesion, input=2499, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-2311, 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=2829","layer":4},{"info":"number node, value=3122","layer":4},{"info":"compute binary expreesion, left_input=2829, right_input=3122, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=1665","layer":4},{"info":"number node, value=1302","layer":4},{"info":"compute binary expreesion, left_input=1665, right_input=1302, op_id = rysDP5nf3Z binary_op_definition= 'None', output=363","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=363, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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 = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=5194","layer":4},{"info":"number node, value=2145","layer":4},{"info":"compute binary expreesion, left_input=5194, right_input=2145, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-7460","layer":3},{"info":"number node, value=1076","layer":4},{"info":"compute unary expreesion, input=1076, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-803","layer":3},{"info":"compute binary expreesion, left_input=-7460, right_input=-803, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=8142","layer":2},{"info":"compute unary expreesion, input=8142, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-16284","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-16284, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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":13,"result_base":13,"text":"((⪎⋱⫍16B0⨳⩥⨓⪎⋱⫍623)⪢(⫛⫱⨽⪎⋱⫍11A3)-⪎⋱⫍1398+⇶⊼⪎⋱⫍1562+⇶⊼(⪎⋱⫍9B1-⪎⋱⫍792))∀⇚≩(↽≂⪎⋱⫍2497⩚⊴⇥⪎⋱⫍C90⩚⊴⇥(↔⪎⋱⫍64A))=NaN","reverse_text":"NaN=((⪎⋱⫍16B0⨳⩥⨓⪎⋱⫍623)⪢(⫛⫱⨽⪎⋱⫍11A3)-⪎⋱⫍1398+⇶⊼⪎⋱⫍1562+⇶⊼(⪎⋱⫍9B1-⪎⋱⫍792))∀⇚≩(↽≂⪎⋱⫍2497⩚⊴⇥⪎⋱⫍C90⩚⊴⇥(↔⪎⋱⫍64A))","cot":[{"info":"⪎⋱⫍16B0⨳⩥⨓⪎⋱⫍623=⪎⋱⫍-108A","layer":3},{"info":"⫛⫱⨽⪎⋱⫍11A3=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍-108A⪢⪎⋱⫍0=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍1398+⇶⊼⪎⋱⫍1562=NaN","layer":3},{"info":"⪎⋱⫍9B1-⪎⋱⫍792=⪎⋱⫍21C","layer":3},{"info":"NaN+⇶⊼⪎⋱⫍21C=NaN","layer":2},{"info":"⪎⋱⫍0-NaN=NaN","layer":1},{"info":"⪎⋱⫍2497⩚⊴⇥⪎⋱⫍C90=⪎⋱⫍-351B","layer":3},{"info":"↔⪎⋱⫍64A=⪎⋱⫍-49A","layer":3},{"info":"⪎⋱⫍-351B⩚⊴⇥⪎⋱⫍-49A=⪎⋱⫍3924","layer":2},{"info":"↽≂⪎⋱⫍3924=⪎⋱⫍-7548","layer":1},{"info":"NaN∀⇚≩⪎⋱⫍-7548=NaN","layer":0}]}
{"id":695,"expression_no_base_symbol":"(($2051$⋥≓≎$2734$)⨎($2520$⇋≉))⩷∴((⨵≀≌$1699$)⊉≛↸$2081$⊴$1754$)⋓(($2362$⇼⇔∾$7893$)⨰($9182$⨵⪆$8457$))∀⇚≩(($1073$-$8393$)⫸⊐(⩦⩻⨪$6143$))","expression":"((⪎⋱⫍C1A⋥≓≎⪎⋱⫍1324)⨎(⪎⋱⫍11BB⇋≉))⩷∴((⨵≀≌⪎⋱⫍A09)⊉≛↸⪎⋱⫍C41⊴⪎⋱⫍A4C)⋓((⪎⋱⫍10C9⇼⇔∾⪎⋱⫍3792)⨰(⪎⋱⫍4244⨵⪆⪎⋱⫍3B07))∀⇚≩((⪎⋱⫍647-⪎⋱⫍3A88)⫸⊐(⩦⩻⨪⪎⋱⫍2A47))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":42286,"operation_count":15,"complexity_ratio":2819.0666666666666,"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":2051,"base":13},"right_expr":{"type":"numeric_atoms","value":2734,"base":13}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":2520,"base":13}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1699,"base":13}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2081,"base":13},"right_expr":{"type":"numeric_atoms","value":1754,"base":13}}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2362,"base":13},"right_expr":{"type":"numeric_atoms","value":7893,"base":13}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":9182,"base":13},"right_expr":{"type":"numeric_atoms","value":8457,"base":13}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1073,"base":13},"right_expr":{"type":"numeric_atoms","value":8393,"base":13}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":6143,"base":13}}}}},"used_operators":["T2fj7uvVaJ","9FxExcQeMw","rJVOvQCfKK","Qy55tPpLXF","XIabStNQrY","DZ8iAZOCBD","srAu1WTS94","Nsiff2A1zJ","LRNGc0VcxI","eewbuw0ToL","tifHPKVTfV","2DQ55sFlQl","mqXw5SEYmG","rysDP5nf3Z","2td37pGCOC"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","dWAJyo7jo9","14qkJME0vr","X99M06cbEe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2051","layer":4},{"info":"number node, value=2734","layer":4},{"info":"compute binary expreesion, left_input=2051, right_input=2734, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=3450","layer":3},{"info":"number node, value=2520","layer":4},{"info":"compute unary expreesion, input=2520, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=4942","layer":3},{"info":"compute binary expreesion, left_input=3450, right_input=4942, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=4942","layer":2},{"info":"number node, value=1699","layer":4},{"info":"compute unary expreesion, input=1699, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-5097","layer":3},{"info":"number node, value=2081","layer":4},{"info":"number node, value=1754","layer":4},{"info":"compute binary expreesion, left_input=2081, right_input=1754, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-5097, 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=4942, 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=2362","layer":4},{"info":"number node, value=7893","layer":4},{"info":"compute binary expreesion, left_input=2362, right_input=7893, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=5531","layer":3},{"info":"number node, value=9182","layer":4},{"info":"number node, value=8457","layer":4},{"info":"compute binary expreesion, left_input=9182, right_input=8457, 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=5531, right_input=160, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=5381","layer":2},{"info":"number node, value=1073","layer":4},{"info":"number node, value=8393","layer":4},{"info":"compute binary expreesion, left_input=1073, right_input=8393, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-7320","layer":3},{"info":"number node, value=6143","layer":4},{"info":"compute unary expreesion, input=6143, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=6143","layer":3},{"info":"compute binary expreesion, left_input=-7320, right_input=6143, 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=5381, 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":"compute binary expreesion, left_input=nan, right_input=nan, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍C1A⋥≓≎⪎⋱⫍1324)⨎(⪎⋱⫍11BB⇋≉))⩷∴((⨵≀≌⪎⋱⫍A09)⊉≛↸⪎⋱⫍C41⊴⪎⋱⫍A4C)⋓((⪎⋱⫍10C9⇼⇔∾⪎⋱⫍3792)⨰(⪎⋱⫍4244⨵⪆⪎⋱⫍3B07))∀⇚≩((⪎⋱⫍647-⪎⋱⫍3A88)⫸⊐(⩦⩻⨪⪎⋱⫍2A47))=NaN","reverse_text":"NaN=((⪎⋱⫍C1A⋥≓≎⪎⋱⫍1324)⨎(⪎⋱⫍11BB⇋≉))⩷∴((⨵≀≌⪎⋱⫍A09)⊉≛↸⪎⋱⫍C41⊴⪎⋱⫍A4C)⋓((⪎⋱⫍10C9⇼⇔∾⪎⋱⫍3792)⨰(⪎⋱⫍4244⨵⪆⪎⋱⫍3B07))∀⇚≩((⪎⋱⫍647-⪎⋱⫍3A88)⫸⊐(⩦⩻⨪⪎⋱⫍2A47))","cot":[{"info":"⪎⋱⫍C1A⋥≓≎⪎⋱⫍1324=⪎⋱⫍1755","layer":3},{"info":"⪎⋱⫍11BB⇋≉=⪎⋱⫍2332","layer":3},{"info":"⪎⋱⫍1755⨎⪎⋱⫍2332=⪎⋱⫍2332","layer":2},{"info":"⨵≀≌⪎⋱⫍A09=⪎⋱⫍-2421","layer":3},{"info":"⪎⋱⫍C41⊴⪎⋱⫍A4C=NaN","layer":3},{"info":"⪎⋱⫍-2421⊉≛↸NaN=NaN","layer":2},{"info":"⪎⋱⫍2332⩷∴NaN=NaN","layer":1},{"info":"⪎⋱⫍10C9⇼⇔∾⪎⋱⫍3792=⪎⋱⫍2696","layer":3},{"info":"⪎⋱⫍4244⨵⪆⪎⋱⫍3B07=⪎⋱⫍C4","layer":3},{"info":"⪎⋱⫍2696⨰⪎⋱⫍C4=⪎⋱⫍25AC","layer":2},{"info":"⪎⋱⫍647-⪎⋱⫍3A88=⪎⋱⫍-3441","layer":3},{"info":"⩦⩻⨪⪎⋱⫍2A47=⪎⋱⫍2A47","layer":3},{"info":"⪎⋱⫍-3441⫸⊐⪎⋱⫍2A47=⪎⋱⫍596","layer":2},{"info":"⪎⋱⫍25AC∀⇚≩⪎⋱⫍596=NaN","layer":1},{"info":"NaN⋓NaN=NaN","layer":0}]}
{"id":696,"expression_no_base_symbol":"(($6213$⨎$9216$)≎⊠⪸($2564$⫥∨⫟$1865$)⪒($7463$+$1327$)⨽(≉$2919$))⨰(↣≠⋷($1823$↺$9138$⩨(↥$2962$)))","expression":"((⪎⋱⫍2A9C⨎⪎⋱⫍426C)≎⊠⪸(⪎⋱⫍1223⫥∨⫟⪎⋱⫍B06)⪒(⪎⋱⫍3521+⪎⋱⫍7B1)⨽(≉⪎⋱⫍1437))⨰(↣≠⋷(⪎⋱⫍AA3↺⪎⋱⫍420C⩨(↥⪎⋱⫍146B)))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":9044,"operation_count":12,"complexity_ratio":753.6666666666666,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":6213,"base":13},"right_expr":{"type":"numeric_atoms","value":9216,"base":13}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2564,"base":13},"right_expr":{"type":"numeric_atoms","value":1865,"base":13}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":7463,"base":13},"right_expr":{"type":"numeric_atoms","value":1327,"base":13}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":2919,"base":13}}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1823,"base":13},"right_expr":{"type":"numeric_atoms","value":9138,"base":13}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":2962,"base":13}}}}},"used_operators":["eewbuw0ToL","f6k1SAg4EE","bJkvcejdHO","rJVOvQCfKK","KYD54nUTWz","8HhzD0ZcuI","W4YGzv6Whe","e1ybzncUwg","Asc51vEJeQ","2DlMacCsIx","7j4O788W3g","A8NUZmVepG"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","8HhzD0ZcuI","rGHVDoGpnC","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=6213","layer":4},{"info":"number node, value=9216","layer":4},{"info":"compute binary expreesion, left_input=6213, right_input=9216, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=9216","layer":3},{"info":"number node, value=2564","layer":4},{"info":"number node, value=1865","layer":4},{"info":"compute binary expreesion, left_input=2564, right_input=1865, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=9216, 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=7463","layer":4},{"info":"number node, value=1327","layer":4},{"info":"compute binary expreesion, left_input=7463, right_input=1327, op_id = W4YGzv6Whe binary_op_definition= 'None', output=8790","layer":3},{"info":"number node, value=2919","layer":4},{"info":"compute unary expreesion, input=2919, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=3450","layer":3},{"info":"compute binary expreesion, left_input=8790, right_input=3450, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-231801336","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=-231801336, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=231801269","layer":1},{"info":"number node, value=1823","layer":4},{"info":"number node, value=9138","layer":4},{"info":"compute binary expreesion, left_input=1823, right_input=9138, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=9138","layer":3},{"info":"number node, value=2962","layer":4},{"info":"compute unary expreesion, input=2962, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=4","layer":3},{"info":"compute binary expreesion, left_input=9138, right_input=4, 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 = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=231801269, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍2A9C⨎⪎⋱⫍426C)≎⊠⪸(⪎⋱⫍1223⫥∨⫟⪎⋱⫍B06)⪒(⪎⋱⫍3521+⪎⋱⫍7B1)⨽(≉⪎⋱⫍1437))⨰(↣≠⋷(⪎⋱⫍AA3↺⪎⋱⫍420C⩨(↥⪎⋱⫍146B)))=NaN","reverse_text":"NaN=((⪎⋱⫍2A9C⨎⪎⋱⫍426C)≎⊠⪸(⪎⋱⫍1223⫥∨⫟⪎⋱⫍B06)⪒(⪎⋱⫍3521+⪎⋱⫍7B1)⨽(≉⪎⋱⫍1437))⨰(↣≠⋷(⪎⋱⫍AA3↺⪎⋱⫍420C⩨(↥⪎⋱⫍146B)))","cot":[{"info":"⪎⋱⫍2A9C⨎⪎⋱⫍426C=⪎⋱⫍426C","layer":3},{"info":"⪎⋱⫍1223⫥∨⫟⪎⋱⫍B06=NaN","layer":3},{"info":"⪎⋱⫍426C≎⊠⪸NaN=⪎⋱⫍52","layer":2},{"info":"⪎⋱⫍3521+⪎⋱⫍7B1=⪎⋱⫍4002","layer":3},{"info":"≉⪎⋱⫍1437=⪎⋱⫍1755","layer":3},{"info":"⪎⋱⫍4002⨽⪎⋱⫍1755=⪎⋱⫍-39040170","layer":2},{"info":"⪎⋱⫍52⪒⪎⋱⫍-39040170=⪎⋱⫍3904011B","layer":1},{"info":"⪎⋱⫍AA3↺⪎⋱⫍420C=⪎⋱⫍420C","layer":3},{"info":"↥⪎⋱⫍146B=⪎⋱⫍4","layer":3},{"info":"⪎⋱⫍420C⩨⪎⋱⫍4=⪎⋱⫍0","layer":2},{"info":"↣≠⋷⪎⋱⫍0=NaN","layer":1},{"info":"⪎⋱⫍3904011B⨰NaN=NaN","layer":0}]}
{"id":697,"expression_no_base_symbol":"((↣≠⋷$2058$)⋥≓≎($1007$%$5787$))⨰(↩$1950$≎⊠⪸$3957$)⨵⪆((-($2931$⩠))⩤)","expression":"((↣≠⋷⪎⋱⫍C24)⋥≓≎(⪎⋱⫍5C6%⪎⋱⫍2832))⨰(↩⪎⋱⫍B70≎⊠⪸⪎⋱⫍1A55)⨵⪆((-(⪎⋱⫍1446⩠))⩤)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":319,"operation_count":10,"complexity_ratio":31.9,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":2058,"base":13}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1007,"base":13},"right_expr":{"type":"numeric_atoms","value":5787,"base":13}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1950,"base":13},"right_expr":{"type":"numeric_atoms","value":3957,"base":13}}}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"unary","operator":"-","unary_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":2931,"base":13}}}}},"used_operators":["2DQ55sFlQl","eewbuw0ToL","Qy55tPpLXF","Asc51vEJeQ","k8jYdgA6NY","jLgFTUHLKL","bJkvcejdHO","Z2TMIBDE3Q","t8gj7n24qd","sJAwomhLZr"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C"],"result":"⪎⋱⫍C4","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2058","layer":4},{"info":"compute unary expreesion, input=2058, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=1007","layer":4},{"info":"number node, value=5787","layer":4},{"info":"compute binary expreesion, left_input=1007, right_input=5787, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1007","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1007, 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=1950","layer":4},{"info":"number node, value=3957","layer":4},{"info":"compute binary expreesion, left_input=1950, right_input=3957, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=504577","layer":3},{"info":"compute unary expreesion, input=504577, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-4033836","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=-4033836, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=4033913","layer":1},{"info":"number node, value=2931","layer":4},{"info":"compute unary expreesion, input=2931, 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":"compute unary expreesion, input=0, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=4033913, right_input=0, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":13,"result_base":13,"text":"((↣≠⋷⪎⋱⫍C24)⋥≓≎(⪎⋱⫍5C6%⪎⋱⫍2832))⨰(↩⪎⋱⫍B70≎⊠⪸⪎⋱⫍1A55)⨵⪆((-(⪎⋱⫍1446⩠))⩤)=⪎⋱⫍C4","reverse_text":"⪎⋱⫍C4=((↣≠⋷⪎⋱⫍C24)⋥≓≎(⪎⋱⫍5C6%⪎⋱⫍2832))⨰(↩⪎⋱⫍B70≎⊠⪸⪎⋱⫍1A55)⨵⪆((-(⪎⋱⫍1446⩠))⩤)","cot":[{"info":"↣≠⋷⪎⋱⫍C24=NaN","layer":3},{"info":"⪎⋱⫍5C6%⪎⋱⫍2832=⪎⋱⫍5C6","layer":3},{"info":"NaN⋥≓≎⪎⋱⫍5C6=⪎⋱⫍52","layer":2},{"info":"⪎⋱⫍B70≎⊠⪸⪎⋱⫍1A55=⪎⋱⫍148888","layer":3},{"info":"↩⪎⋱⫍148888=⪎⋱⫍-AB30B1","layer":2},{"info":"⪎⋱⫍52⨰⪎⋱⫍-AB30B1=⪎⋱⫍AB3140","layer":1},{"info":"⪎⋱⫍1446⩠=⪎⋱⫍0","layer":3},{"info":"-⪎⋱⫍0=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍0⩤=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍AB3140⨵⪆⪎⋱⫍0=⪎⋱⫍C4","layer":0}]}
{"id":698,"expression_no_base_symbol":"(⨞⊢(($1709$≫≃)⊭↱$6915$⩚⊴⇥$1485$))≹⇙⪍((⊄⩳↩$2048$)⊴$1051$≹⇙⪍$1063$⇋≉)","expression":"(⨞⊢((⪎⋱⫍A16≫≃)⊭↱⪎⋱⫍31BC⩚⊴⇥⪎⋱⫍8A3))≹⇙⪍((⊄⩳↩⪎⋱⫍C17)⊴⪎⋱⫍62B≹⇙⪍⪎⋱⫍63A⇋≉)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":33,"operation_count":9,"complexity_ratio":3.6666666666666665,"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":1709,"base":13}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":6915,"base":13},"right_expr":{"type":"numeric_atoms","value":1485,"base":13}}}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":2048,"base":13}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1051,"base":13},"right_expr":{"type":"numeric_atoms","value":1063,"base":13}}}}},"used_operators":["AHs5Up7iyr","xUOZtlo3hN","COABgblf1C","X99M06cbEe","NTOWxs364D","XIabStNQrY","Nsiff2A1zJ","8w2t5hMYqp"],"dependent_operators":["dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1709","layer":4},{"info":"compute unary expreesion, input=1709, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=4819","layer":3},{"info":"number node, value=6915","layer":4},{"info":"number node, value=1485","layer":4},{"info":"compute binary expreesion, left_input=6915, right_input=1485, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-8521","layer":3},{"info":"compute binary expreesion, left_input=4819, right_input=-8521, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-26675","layer":2},{"info":"compute unary expreesion, input=-26675, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=26501","layer":1},{"info":"number node, value=2048","layer":4},{"info":"compute unary expreesion, input=2048, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-6144","layer":3},{"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 = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=-6144, 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 = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=26501, 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":13,"result_base":13,"text":"(⨞⊢((⪎⋱⫍A16≫≃)⊭↱⪎⋱⫍31BC⩚⊴⇥⪎⋱⫍8A3))≹⇙⪍((⊄⩳↩⪎⋱⫍C17)⊴⪎⋱⫍62B≹⇙⪍⪎⋱⫍63A⇋≉)=NaN","reverse_text":"NaN=(⨞⊢((⪎⋱⫍A16≫≃)⊭↱⪎⋱⫍31BC⩚⊴⇥⪎⋱⫍8A3))≹⇙⪍((⊄⩳↩⪎⋱⫍C17)⊴⪎⋱⫍62B≹⇙⪍⪎⋱⫍63A⇋≉)","cot":[{"info":"⪎⋱⫍A16≫≃=⪎⋱⫍2269","layer":3},{"info":"⪎⋱⫍31BC⩚⊴⇥⪎⋱⫍8A3=⪎⋱⫍-3B56","layer":3},{"info":"⪎⋱⫍2269⊭↱⪎⋱⫍-3B56=⪎⋱⫍-C1AC","layer":2},{"info":"⨞⊢⪎⋱⫍-C1AC=⪎⋱⫍C0A7","layer":1},{"info":"⊄⩳↩⪎⋱⫍C17=⪎⋱⫍-2A48","layer":3},{"info":"⪎⋱⫍62B≹⇙⪍⪎⋱⫍63A=NaN","layer":3},{"info":"⪎⋱⫍-2A48⊴NaN=NaN","layer":2},{"info":"NaN⇋≉=NaN","layer":1},{"info":"⪎⋱⫍C0A7≹⇙⪍NaN=NaN","layer":0}]}
{"id":699,"expression_no_base_symbol":"⪲⇎(($4805$⨽$3246$)⨟⋌⩍($2243$⨵⪆$1153$)⫸⊐($2428$⋥≓≎$1027$≋⫹))","expression":"⪲⇎((⪎⋱⫍2258⨽⪎⋱⫍1629)⨟⋌⩍(⪎⋱⫍1037⨵⪆⪎⋱⫍6A9)⫸⊐(⪎⋱⫍114A⋥≓≎⪎⋱⫍610≋⫹))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":5978,"operation_count":7,"complexity_ratio":854.0,"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":4805,"base":13},"right_expr":{"type":"numeric_atoms","value":3246,"base":13}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2243,"base":13},"right_expr":{"type":"numeric_atoms","value":1153,"base":13}}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2428,"base":13},"right_expr":{"type":"numeric_atoms","value":1027,"base":13}}}}},"used_operators":["XPYlsWDdGa","mqXw5SEYmG","rGHVDoGpnC","8HhzD0ZcuI","2DQ55sFlQl","N41Kp7NANJ","Qy55tPpLXF"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","Tcnh7f0tEr","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4805","layer":4},{"info":"number node, value=3246","layer":4},{"info":"compute binary expreesion, left_input=4805, right_input=3246, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-69272499","layer":3},{"info":"number node, value=2243","layer":4},{"info":"number node, value=1153","layer":4},{"info":"compute binary expreesion, left_input=2243, right_input=1153, 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=-69272499, 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":2},{"info":"number node, value=2428","layer":4},{"info":"number node, value=1027","layer":4},{"info":"compute binary expreesion, left_input=2428, right_input=1027, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-341","layer":3},{"info":"compute unary expreesion, input=-341, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=682","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=682, 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 = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⪲⇎((⪎⋱⫍2258⨽⪎⋱⫍1629)⨟⋌⩍(⪎⋱⫍1037⨵⪆⪎⋱⫍6A9)⫸⊐(⪎⋱⫍114A⋥≓≎⪎⋱⫍610≋⫹))=NaN","reverse_text":"NaN=⪲⇎((⪎⋱⫍2258⨽⪎⋱⫍1629)⨟⋌⩍(⪎⋱⫍1037⨵⪆⪎⋱⫍6A9)⫸⊐(⪎⋱⫍114A⋥≓≎⪎⋱⫍610≋⫹))","cot":[{"info":"⪎⋱⫍2258⨽⪎⋱⫍1629=⪎⋱⫍-1147565A","layer":3},{"info":"⪎⋱⫍1037⨵⪆⪎⋱⫍6A9=⪎⋱⫍C4","layer":3},{"info":"⪎⋱⫍-1147565A⨟⋌⩍⪎⋱⫍C4=NaN","layer":2},{"info":"⪎⋱⫍114A⋥≓≎⪎⋱⫍610=⪎⋱⫍-203","layer":3},{"info":"⪎⋱⫍-203≋⫹=⪎⋱⫍406","layer":2},{"info":"NaN⫸⊐⪎⋱⫍406=NaN","layer":1},{"info":"⪲⇎NaN=NaN","layer":0}]}
{"id":700,"expression_no_base_symbol":"((↯⪼($2061$*$2086$))≣⋋)⩨(($1207$⨸⪁$1414$)≫≃)⫸⊐($2014$≎⊠⪸$3074$%$3174$⇼⇔∾$2161$)","expression":"((↯⪼(⪎⋱⫍C27*⪎⋱⫍C46))≣⋋)⩨((⪎⋱⫍71B⨸⪁⪎⋱⫍84A)≫≃)⫸⊐(⪎⋱⫍BBC≎⊠⪸⪎⋱⫍1526%⪎⋱⫍15A2⇼⇔∾⪎⋱⫍CA3)","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2938,"operation_count":10,"complexity_ratio":293.8,"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":2061,"base":13},"right_expr":{"type":"numeric_atoms","value":2086,"base":13}}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1207,"base":13},"right_expr":{"type":"numeric_atoms","value":1414,"base":13}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2014,"base":13},"right_expr":{"type":"numeric_atoms","value":3074,"base":13}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":3174,"base":13},"right_expr":{"type":"numeric_atoms","value":2161,"base":13}}}}},"used_operators":["2DlMacCsIx","Tcnh7f0tEr","8jW3W4yZS5","9HNa5Wba9A","mqXw5SEYmG","X99M06cbEe","g55IO6H4Gj","k8jYdgA6NY","bJkvcejdHO","tifHPKVTfV"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","W4YGzv6Whe","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2061","layer":4},{"info":"number node, value=2086","layer":4},{"info":"compute binary expreesion, left_input=2061, right_input=2086, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=4299246","layer":3},{"info":"compute unary expreesion, input=4299246, 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 = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":1},{"info":"number node, value=1207","layer":4},{"info":"number node, value=1414","layer":4},{"info":"compute binary expreesion, left_input=1207, right_input=1414, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=5242","layer":3},{"info":"compute unary expreesion, input=5242, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=11885","layer":2},{"info":"number node, value=2014","layer":4},{"info":"number node, value=3074","layer":4},{"info":"compute binary expreesion, left_input=2014, right_input=3074, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=521153","layer":3},{"info":"number node, value=3174","layer":4},{"info":"number node, value=2161","layer":4},{"info":"compute binary expreesion, left_input=3174, right_input=2161, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-1013","layer":3},{"info":"compute binary expreesion, left_input=521153, right_input=-1013, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-542","layer":2},{"info":"compute binary expreesion, left_input=11885, right_input=-542, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=-1213","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-1213, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((↯⪼(⪎⋱⫍C27*⪎⋱⫍C46))≣⋋)⩨((⪎⋱⫍71B⨸⪁⪎⋱⫍84A)≫≃)⫸⊐(⪎⋱⫍BBC≎⊠⪸⪎⋱⫍1526%⪎⋱⫍15A2⇼⇔∾⪎⋱⫍CA3)=NaN","reverse_text":"NaN=((↯⪼(⪎⋱⫍C27*⪎⋱⫍C46))≣⋋)⩨((⪎⋱⫍71B⨸⪁⪎⋱⫍84A)≫≃)⫸⊐(⪎⋱⫍BBC≎⊠⪸⪎⋱⫍1526%⪎⋱⫍15A2⇼⇔∾⪎⋱⫍CA3)","cot":[{"info":"⪎⋱⫍C27*⪎⋱⫍C46=⪎⋱⫍B76B43","layer":3},{"info":"↯⪼⪎⋱⫍B76B43=⪎⋱⫍-18","layer":2},{"info":"⪎⋱⫍-18≣⋋=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍71B⨸⪁⪎⋱⫍84A=⪎⋱⫍2503","layer":3},{"info":"⪎⋱⫍2503≫≃=⪎⋱⫍5543","layer":2},{"info":"⪎⋱⫍BBC≎⊠⪸⪎⋱⫍1526=⪎⋱⫍153299","layer":3},{"info":"⪎⋱⫍15A2⇼⇔∾⪎⋱⫍CA3=⪎⋱⫍-5CC","layer":3},{"info":"⪎⋱⫍153299%⪎⋱⫍-5CC=⪎⋱⫍-329","layer":2},{"info":"⪎⋱⫍5543⫸⊐⪎⋱⫍-329=⪎⋱⫍-724","layer":1},{"info":"⪎⋱⫍0⩨⪎⋱⫍-724=NaN","layer":0}]}
{"id":701,"expression_no_base_symbol":"(($1811$⫥∨⫟$1186$)∀⇚≩($4201$⋝⋈⪟$1271$)⪨≂$2674$⪘⫢$4052$⨓($1584$⪒$4442$))⋳⪒((↽≂$1409$)⫸⊐($6787$⊭∹↮))⪢((↩$3513$)+⇶⊼$1025$⨰$2387$)","expression":"((⪎⋱⫍A94⫥∨⫟⪎⋱⫍703)∀⇚≩(⪎⋱⫍1BB2⋝⋈⪟⪎⋱⫍76A)⪨≂⪎⋱⫍12A9⪘⫢⪎⋱⫍1AC9⨓(⪎⋱⫍94B⪒⪎⋱⫍2039))⋳⪒((↽≂⪎⋱⫍845)⫸⊐(⪎⋱⫍3121⊭∹↮))⪢((↩⪎⋱⫍17A3)+⇶⊼⪎⋱⫍60B⨰⪎⋱⫍1118)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":6257,"operation_count":15,"complexity_ratio":417.1333333333333,"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":1811,"base":13},"right_expr":{"type":"numeric_atoms","value":1186,"base":13}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":4201,"base":13},"right_expr":{"type":"numeric_atoms","value":1271,"base":13}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2674,"base":13},"right_expr":{"type":"numeric_atoms","value":4052,"base":13}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1584,"base":13},"right_expr":{"type":"numeric_atoms","value":4442,"base":13}}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":1409,"base":13}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":6787,"base":13}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":3513,"base":13}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1025,"base":13},"right_expr":{"type":"numeric_atoms","value":2387,"base":13}}}}},"used_operators":["12rbrZMWeM","sdazOOVcIp","LRNGc0VcxI","KYD54nUTWz","2DDjHMKMc0","3ViojmjbAp","oacrs7FA3X","f6k1SAg4EE","dWAJyo7jo9","mqXw5SEYmG","u6S6b8DprG","xNBdhnnwKq","TpPTUOHfaN","jLgFTUHLKL","eewbuw0ToL"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","AHs5Up7iyr","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1811","layer":4},{"info":"number node, value=1186","layer":4},{"info":"compute binary expreesion, left_input=1811, right_input=1186, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=4201","layer":4},{"info":"number node, value=1271","layer":4},{"info":"compute binary expreesion, left_input=4201, right_input=1271, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=4201","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4201, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=2674","layer":4},{"info":"number node, value=4052","layer":4},{"info":"compute binary expreesion, left_input=2674, right_input=4052, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=5224","layer":3},{"info":"number node, value=1584","layer":4},{"info":"number node, value=4442","layer":4},{"info":"compute binary expreesion, left_input=1584, right_input=4442, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-6026","layer":3},{"info":"compute binary expreesion, left_input=5224, right_input=-6026, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=6023","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=6023, op_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=1409","layer":4},{"info":"compute unary expreesion, input=1409, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-2818","layer":3},{"info":"number node, value=6787","layer":4},{"info":"compute unary expreesion, input=6787, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=13574","layer":3},{"info":"compute binary expreesion, left_input=-2818, right_input=13574, 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=3513","layer":4},{"info":"compute unary expreesion, input=3513, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-25324","layer":3},{"info":"number node, value=1025","layer":4},{"info":"number node, value=2387","layer":4},{"info":"compute binary expreesion, left_input=1025, right_input=2387, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-1352","layer":3},{"info":"compute binary expreesion, left_input=-25324, right_input=-1352, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=968, right_input=nan, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍A94⫥∨⫟⪎⋱⫍703)∀⇚≩(⪎⋱⫍1BB2⋝⋈⪟⪎⋱⫍76A)⪨≂⪎⋱⫍12A9⪘⫢⪎⋱⫍1AC9⨓(⪎⋱⫍94B⪒⪎⋱⫍2039))⋳⪒((↽≂⪎⋱⫍845)⫸⊐(⪎⋱⫍3121⊭∹↮))⪢((↩⪎⋱⫍17A3)+⇶⊼⪎⋱⫍60B⨰⪎⋱⫍1118)=NaN","reverse_text":"NaN=((⪎⋱⫍A94⫥∨⫟⪎⋱⫍703)∀⇚≩(⪎⋱⫍1BB2⋝⋈⪟⪎⋱⫍76A)⪨≂⪎⋱⫍12A9⪘⫢⪎⋱⫍1AC9⨓(⪎⋱⫍94B⪒⪎⋱⫍2039))⋳⪒((↽≂⪎⋱⫍845)⫸⊐(⪎⋱⫍3121⊭∹↮))⪢((↩⪎⋱⫍17A3)+⇶⊼⪎⋱⫍60B⨰⪎⋱⫍1118)","cot":[{"info":"⪎⋱⫍A94⫥∨⫟⪎⋱⫍703=NaN","layer":3},{"info":"⪎⋱⫍1BB2⋝⋈⪟⪎⋱⫍76A=⪎⋱⫍1BB2","layer":3},{"info":"NaN∀⇚≩⪎⋱⫍1BB2=NaN","layer":2},{"info":"⪎⋱⫍12A9⪘⫢⪎⋱⫍1AC9=⪎⋱⫍24BB","layer":3},{"info":"⪎⋱⫍94B⪒⪎⋱⫍2039=⪎⋱⫍-2987","layer":3},{"info":"⪎⋱⫍24BB⨓⪎⋱⫍-2987=⪎⋱⫍2984","layer":2},{"info":"NaN⪨≂⪎⋱⫍2984=NaN","layer":1},{"info":"↽≂⪎⋱⫍845=⪎⋱⫍-138A","layer":3},{"info":"⪎⋱⫍3121⊭∹↮=⪎⋱⫍6242","layer":3},{"info":"⪎⋱⫍-138A⫸⊐⪎⋱⫍6242=⪎⋱⫍596","layer":2},{"info":"↩⪎⋱⫍17A3=⪎⋱⫍-B6B0","layer":3},{"info":"⪎⋱⫍60B⨰⪎⋱⫍1118=⪎⋱⫍-800","layer":3},{"info":"⪎⋱⫍-B6B0+⇶⊼⪎⋱⫍-800=NaN","layer":2},{"info":"⪎⋱⫍596⪢NaN=NaN","layer":1},{"info":"NaN⋳⪒NaN=NaN","layer":0}]}
{"id":702,"expression_no_base_symbol":"($6400$-$2946$)∼($8245$⩚⊴⇥$2617$)↙($1540$⋓$4560$⫡⨏(⩦⩻⨪$1338$))-(($2218$⪄$4306$)⨪↰⇹($3091$⋓$1689$))⨪↰⇹($1693$⨎$1684$)↬($1735$⩷∴$1964$)","expression":"(⪎⋱⫍2BB4-⪎⋱⫍1458)∼(⪎⋱⫍39A3⩚⊴⇥⪎⋱⫍1264)↙(⪎⋱⫍916⋓⪎⋱⫍20CA⫡⨏(⩦⩻⨪⪎⋱⫍7BC))-((⪎⋱⫍1018⪄⪎⋱⫍1C63)⨪↰⇹(⪎⋱⫍153A⋓⪎⋱⫍9CC))⨪↰⇹(⪎⋱⫍A03⨎⪎⋱⫍9C7)↬(⪎⋱⫍A36⩷∴⪎⋱⫍B81)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":683368,"operation_count":15,"complexity_ratio":45557.86666666667,"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":6400,"base":13},"right_expr":{"type":"numeric_atoms","value":2946,"base":13}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":8245,"base":13},"right_expr":{"type":"numeric_atoms","value":2617,"base":13}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1540,"base":13},"right_expr":{"type":"numeric_atoms","value":4560,"base":13}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":1338,"base":13}}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2218,"base":13},"right_expr":{"type":"numeric_atoms","value":4306,"base":13}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":3091,"base":13},"right_expr":{"type":"numeric_atoms","value":1689,"base":13}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1693,"base":13},"right_expr":{"type":"numeric_atoms","value":1684,"base":13}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1735,"base":13},"right_expr":{"type":"numeric_atoms","value":1964,"base":13}}}}},"used_operators":["rysDP5nf3Z","yyfyN0ffXY","DyGG3AbaNP","NTOWxs364D","QMFrweE19q","T2fj7uvVaJ","2td37pGCOC","tmPS8pqC7x","SUmda5xLS4","B5M0gjZbta","rJVOvQCfKK","9FxExcQeMw"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rGHVDoGpnC","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=6400","layer":4},{"info":"number node, value=2946","layer":4},{"info":"compute binary expreesion, left_input=6400, right_input=2946, op_id = rysDP5nf3Z binary_op_definition= 'None', output=3454","layer":3},{"info":"number node, value=8245","layer":4},{"info":"number node, value=2617","layer":4},{"info":"compute binary expreesion, left_input=8245, right_input=2617, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-10983","layer":3},{"info":"compute binary expreesion, left_input=3454, right_input=-10983, 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=1540","layer":4},{"info":"number node, value=4560","layer":4},{"info":"compute binary expreesion, left_input=1540, right_input=4560, op_id = T2fj7uvVaJ binary_op_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=1338","layer":4},{"info":"compute unary expreesion, input=1338, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1338","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1338, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=3459","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=3459, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":1},{"info":"number node, value=2218","layer":4},{"info":"number node, value=4306","layer":4},{"info":"compute binary expreesion, left_input=2218, right_input=4306, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-341577","layer":3},{"info":"number node, value=3091","layer":4},{"info":"number node, value=1689","layer":4},{"info":"compute binary expreesion, left_input=3091, right_input=1689, op_id = T2fj7uvVaJ binary_op_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=-341577, 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=341577","layer":2},{"info":"number node, value=1693","layer":4},{"info":"number node, value=1684","layer":4},{"info":"compute binary expreesion, left_input=1693, right_input=1684, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1684","layer":3},{"info":"number node, value=1735","layer":4},{"info":"number node, value=1964","layer":4},{"info":"compute binary expreesion, left_input=1735, right_input=1964, 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=1684, right_input=-490, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=341577, 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=341577","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=341577, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍2BB4-⪎⋱⫍1458)∼(⪎⋱⫍39A3⩚⊴⇥⪎⋱⫍1264)↙(⪎⋱⫍916⋓⪎⋱⫍20CA⫡⨏(⩦⩻⨪⪎⋱⫍7BC))-((⪎⋱⫍1018⪄⪎⋱⫍1C63)⨪↰⇹(⪎⋱⫍153A⋓⪎⋱⫍9CC))⨪↰⇹(⪎⋱⫍A03⨎⪎⋱⫍9C7)↬(⪎⋱⫍A36⩷∴⪎⋱⫍B81)=NaN","reverse_text":"NaN=(⪎⋱⫍2BB4-⪎⋱⫍1458)∼(⪎⋱⫍39A3⩚⊴⇥⪎⋱⫍1264)↙(⪎⋱⫍916⋓⪎⋱⫍20CA⫡⨏(⩦⩻⨪⪎⋱⫍7BC))-((⪎⋱⫍1018⪄⪎⋱⫍1C63)⨪↰⇹(⪎⋱⫍153A⋓⪎⋱⫍9CC))⨪↰⇹(⪎⋱⫍A03⨎⪎⋱⫍9C7)↬(⪎⋱⫍A36⩷∴⪎⋱⫍B81)","cot":[{"info":"⪎⋱⫍2BB4-⪎⋱⫍1458=⪎⋱⫍1759","layer":3},{"info":"⪎⋱⫍39A3⩚⊴⇥⪎⋱⫍1264=⪎⋱⫍-4CCB","layer":3},{"info":"⪎⋱⫍1759∼⪎⋱⫍-4CCB=NaN","layer":2},{"info":"⪎⋱⫍916⋓⪎⋱⫍20CA=⪎⋱⫍0","layer":3},{"info":"⩦⩻⨪⪎⋱⫍7BC=⪎⋱⫍7BC","layer":3},{"info":"⪎⋱⫍0⫡⨏⪎⋱⫍7BC=⪎⋱⫍1761","layer":2},{"info":"NaN↙⪎⋱⫍1761=NaN","layer":1},{"info":"⪎⋱⫍1018⪄⪎⋱⫍1C63=⪎⋱⫍-BC622","layer":3},{"info":"⪎⋱⫍153A⋓⪎⋱⫍9CC=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍-BC622⨪↰⇹⪎⋱⫍0=⪎⋱⫍BC622","layer":2},{"info":"⪎⋱⫍A03⨎⪎⋱⫍9C7=⪎⋱⫍9C7","layer":3},{"info":"⪎⋱⫍A36⩷∴⪎⋱⫍B81=⪎⋱⫍-2B9","layer":3},{"info":"⪎⋱⫍9C7↬⪎⋱⫍-2B9=NaN","layer":2},{"info":"⪎⋱⫍BC622⨪↰⇹NaN=⪎⋱⫍BC622","layer":1},{"info":"NaN-⪎⋱⫍BC622=NaN","layer":0}]}
{"id":703,"expression_no_base_symbol":"∂(($1106$≹⇙⪍$5569$⊘)↪⪝)","expression":"∂((⪎⋱⫍671≹⇙⪍⪎⋱⫍26C5⊘)↪⪝)","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":28,"operation_count":4,"complexity_ratio":7.0,"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":1106,"base":13},"right_expr":{"type":"numeric_atoms","value":5569,"base":13}}}}},"used_operators":["Uaa54Peajs","l07mrZUIn9","gu96TGCTMs","AHs5Up7iyr"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","9HNa5Wba9A","2DDjHMKMc0","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1106","layer":4},{"info":"number node, value=5569","layer":4},{"info":"compute binary expreesion, left_input=1106, right_input=5569, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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 = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*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":13,"result_base":13,"text":"∂((⪎⋱⫍671≹⇙⪍⪎⋱⫍26C5⊘)↪⪝)=NaN","reverse_text":"NaN=∂((⪎⋱⫍671≹⇙⪍⪎⋱⫍26C5⊘)↪⪝)","cot":[{"info":"⪎⋱⫍671≹⇙⪍⪎⋱⫍26C5=NaN","layer":3},{"info":"NaN⊘=NaN","layer":2},{"info":"NaN↪⪝=NaN","layer":1},{"info":"∂NaN=NaN","layer":0}]}
{"id":704,"expression_no_base_symbol":"⨈⫕(($2962$⨪↰⇹$2993$)⊴($1408$⨵⪆$3342$)⋷($8321$⊘)-($1787$⫩⊇))","expression":"⨈⫕((⪎⋱⫍146B⨪↰⇹⪎⋱⫍1493)⊴(⪎⋱⫍844⨵⪆⪎⋱⫍16A1)⋷(⪎⋱⫍3A31⊘)-(⪎⋱⫍A76⫩⊇))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":5366,"operation_count":8,"complexity_ratio":670.75,"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":2962,"base":13},"right_expr":{"type":"numeric_atoms","value":2993,"base":13}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1408,"base":13},"right_expr":{"type":"numeric_atoms","value":3342,"base":13}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":8321,"base":13}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":1787,"base":13}}}}},"used_operators":["megm06wKyl","23Mk6UjR3U","Nsiff2A1zJ","tmPS8pqC7x","2DQ55sFlQl","rysDP5nf3Z","gu96TGCTMs","BjRHVeLaeN"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍-18","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2962","layer":4},{"info":"number node, value=2993","layer":4},{"info":"compute binary expreesion, left_input=2962, right_input=2993, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=2962","layer":3},{"info":"number node, value=1408","layer":4},{"info":"number node, value=3342","layer":4},{"info":"compute binary expreesion, left_input=1408, right_input=3342, 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=2962, right_input=160, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=8321","layer":4},{"info":"compute unary expreesion, input=8321, 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=1787","layer":4},{"info":"compute unary expreesion, input=1787, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-1745","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-1745, op_id = rysDP5nf3Z binary_op_definition= 'None', output=1745","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1745, 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 = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":0}],"base":13,"result_base":13,"text":"⨈⫕((⪎⋱⫍146B⨪↰⇹⪎⋱⫍1493)⊴(⪎⋱⫍844⨵⪆⪎⋱⫍16A1)⋷(⪎⋱⫍3A31⊘)-(⪎⋱⫍A76⫩⊇))=⪎⋱⫍-18","reverse_text":"⪎⋱⫍-18=⨈⫕((⪎⋱⫍146B⨪↰⇹⪎⋱⫍1493)⊴(⪎⋱⫍844⨵⪆⪎⋱⫍16A1)⋷(⪎⋱⫍3A31⊘)-(⪎⋱⫍A76⫩⊇))","cot":[{"info":"⪎⋱⫍146B⨪↰⇹⪎⋱⫍1493=⪎⋱⫍146B","layer":3},{"info":"⪎⋱⫍844⨵⪆⪎⋱⫍16A1=⪎⋱⫍C4","layer":3},{"info":"⪎⋱⫍146B⊴⪎⋱⫍C4=NaN","layer":2},{"info":"⪎⋱⫍3A31⊘=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍A76⫩⊇=⪎⋱⫍-A43","layer":3},{"info":"⪎⋱⫍0-⪎⋱⫍-A43=⪎⋱⫍A43","layer":2},{"info":"NaN⋷⪎⋱⫍A43=NaN","layer":1},{"info":"⨈⫕NaN=⪎⋱⫍-18","layer":0}]}
{"id":705,"expression_no_base_symbol":"((⋗⩬⋾$1722$)≭$2782$⨰$3059$↙($2166$⪘⫢$1327$≣⋋))⊭∹↮","expression":"((⋗⩬⋾⪎⋱⫍A26)≭⪎⋱⫍1360⨰⪎⋱⫍1514↙(⪎⋱⫍CA8⪘⫢⪎⋱⫍7B1≣⋋))⊭∹↮","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":546,"operation_count":7,"complexity_ratio":78.0,"tree":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1722,"base":13}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2782,"base":13},"right_expr":{"type":"numeric_atoms","value":3059,"base":13}}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2166,"base":13},"right_expr":{"type":"numeric_atoms","value":1327,"base":13}}}}},"used_operators":["xNBdhnnwKq","yyfyN0ffXY","rxpJgHHUmx","DpFCA1CohY","eewbuw0ToL","Tcnh7f0tEr","oacrs7FA3X"],"dependent_operators":["2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","tmPS8pqC7x","DpFCA1CohY","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"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":"number node, value=2782","layer":4},{"info":"number node, value=3059","layer":4},{"info":"compute binary expreesion, left_input=2782, right_input=3059, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-267","layer":3},{"info":"compute binary expreesion, left_input=-5166, right_input=-267, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=2166","layer":4},{"info":"number node, value=1327","layer":4},{"info":"compute binary expreesion, left_input=2166, right_input=1327, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=4208","layer":3},{"info":"compute unary expreesion, input=4208, 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 = 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 = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⋗⩬⋾⪎⋱⫍A26)≭⪎⋱⫍1360⨰⪎⋱⫍1514↙(⪎⋱⫍CA8⪘⫢⪎⋱⫍7B1≣⋋))⊭∹↮=NaN","reverse_text":"NaN=((⋗⩬⋾⪎⋱⫍A26)≭⪎⋱⫍1360⨰⪎⋱⫍1514↙(⪎⋱⫍CA8⪘⫢⪎⋱⫍7B1≣⋋))⊭∹↮","cot":[{"info":"⋗⩬⋾⪎⋱⫍A26=⪎⋱⫍-2475","layer":3},{"info":"⪎⋱⫍1360⨰⪎⋱⫍1514=⪎⋱⫍-177","layer":3},{"info":"⪎⋱⫍-2475≭⪎⋱⫍-177=NaN","layer":2},{"info":"⪎⋱⫍CA8⪘⫢⪎⋱⫍7B1=⪎⋱⫍1BB9","layer":3},{"info":"⪎⋱⫍1BB9≣⋋=⪎⋱⫍0","layer":2},{"info":"NaN↙⪎⋱⫍0=NaN","layer":1},{"info":"NaN⊭∹↮=NaN","layer":0}]}
{"id":706,"expression_no_base_symbol":"($3377$∲⫓$3688$⨵⪆($2057$⪨≂$3884$))⨸⪁(($2406$⫸⊐$1050$)⫌⩹⨱)⊉≛↸($1583$≹⇙⪍$1332$⨳⩥⨓$4053$⪢$1921$)⫥∨⫟($1859$⨰$3457$+$1375$⇼⇔∾$1694$)","expression":"(⪎⋱⫍16CA∲⫓⪎⋱⫍18A9⨵⪆(⪎⋱⫍C23⪨≂⪎⋱⫍19CA))⨸⪁((⪎⋱⫍1131⫸⊐⪎⋱⫍62A)⫌⩹⨱)⊉≛↸(⪎⋱⫍94A≹⇙⪍⪎⋱⫍7B6⨳⩥⨓⪎⋱⫍1ACA⪢⪎⋱⫍B4A)⫥∨⫟(⪎⋱⫍B00⨰⪎⋱⫍175C+⪎⋱⫍81A⇼⇔∾⪎⋱⫍A04)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":4401,"operation_count":14,"complexity_ratio":314.35714285714283,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":3377,"base":13},"right_expr":{"type":"numeric_atoms","value":3688,"base":13}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2057,"base":13},"right_expr":{"type":"numeric_atoms","value":3884,"base":13}}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2406,"base":13},"right_expr":{"type":"numeric_atoms","value":1050,"base":13}}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1583,"base":13},"right_expr":{"type":"numeric_atoms","value":1332,"base":13}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":4053,"base":13},"right_expr":{"type":"numeric_atoms","value":1921,"base":13}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1859,"base":13},"right_expr":{"type":"numeric_atoms","value":3457,"base":13}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1375,"base":13},"right_expr":{"type":"numeric_atoms","value":1694,"base":13}}}}},"used_operators":["DZ8iAZOCBD","g55IO6H4Gj","2DQ55sFlQl","i8ToyICDmI","sdazOOVcIp","EBcxylXtPf","mqXw5SEYmG","KYD54nUTWz","nCS4ZIUYfx","AHs5Up7iyr","dWAJyo7jo9","W4YGzv6Whe","eewbuw0ToL","tifHPKVTfV"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍148B0","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3377","layer":4},{"info":"number node, value=3688","layer":4},{"info":"compute binary expreesion, left_input=3377, right_input=3688, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=2057","layer":4},{"info":"number node, value=3884","layer":4},{"info":"compute binary expreesion, left_input=2057, right_input=3884, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-3552","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-3552, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=2406","layer":4},{"info":"number node, value=1050","layer":4},{"info":"compute binary expreesion, left_input=2406, right_input=1050, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=4075","layer":3},{"info":"compute unary expreesion, input=4075, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=9551","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=9551, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=19422","layer":1},{"info":"number node, value=1583","layer":4},{"info":"number node, value=1332","layer":4},{"info":"compute binary expreesion, left_input=1583, right_input=1332, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=4053","layer":4},{"info":"number node, value=1921","layer":4},{"info":"compute binary expreesion, left_input=4053, right_input=1921, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":2},{"info":"number node, value=1859","layer":4},{"info":"number node, value=3457","layer":4},{"info":"compute binary expreesion, left_input=1859, right_input=3457, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-1588","layer":3},{"info":"number node, value=1375","layer":4},{"info":"number node, value=1694","layer":4},{"info":"compute binary expreesion, left_input=1375, right_input=1694, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=319","layer":3},{"info":"compute binary expreesion, left_input=-1588, right_input=319, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-1269","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1269, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=19422, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=38844","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍16CA∲⫓⪎⋱⫍18A9⨵⪆(⪎⋱⫍C23⪨≂⪎⋱⫍19CA))⨸⪁((⪎⋱⫍1131⫸⊐⪎⋱⫍62A)⫌⩹⨱)⊉≛↸(⪎⋱⫍94A≹⇙⪍⪎⋱⫍7B6⨳⩥⨓⪎⋱⫍1ACA⪢⪎⋱⫍B4A)⫥∨⫟(⪎⋱⫍B00⨰⪎⋱⫍175C+⪎⋱⫍81A⇼⇔∾⪎⋱⫍A04)=⪎⋱⫍148B0","reverse_text":"⪎⋱⫍148B0=(⪎⋱⫍16CA∲⫓⪎⋱⫍18A9⨵⪆(⪎⋱⫍C23⪨≂⪎⋱⫍19CA))⨸⪁((⪎⋱⫍1131⫸⊐⪎⋱⫍62A)⫌⩹⨱)⊉≛↸(⪎⋱⫍94A≹⇙⪍⪎⋱⫍7B6⨳⩥⨓⪎⋱⫍1ACA⪢⪎⋱⫍B4A)⫥∨⫟(⪎⋱⫍B00⨰⪎⋱⫍175C+⪎⋱⫍81A⇼⇔∾⪎⋱⫍A04)","cot":[{"info":"⪎⋱⫍16CA∲⫓⪎⋱⫍18A9=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍C23⪨≂⪎⋱⫍19CA=⪎⋱⫍-1803","layer":3},{"info":"⪎⋱⫍0⨵⪆⪎⋱⫍-1803=⪎⋱⫍C4","layer":2},{"info":"⪎⋱⫍1131⫸⊐⪎⋱⫍62A=⪎⋱⫍1B16","layer":3},{"info":"⪎⋱⫍1B16⫌⩹⨱=⪎⋱⫍4469","layer":2},{"info":"⪎⋱⫍C4⨸⪁⪎⋱⫍4469=⪎⋱⫍8AC0","layer":1},{"info":"⪎⋱⫍94A≹⇙⪍⪎⋱⫍7B6=NaN","layer":3},{"info":"⪎⋱⫍1ACA⪢⪎⋱⫍B4A=NaN","layer":3},{"info":"NaN⨳⩥⨓NaN=NaN","layer":2},{"info":"⪎⋱⫍B00⨰⪎⋱⫍175C=⪎⋱⫍-952","layer":3},{"info":"⪎⋱⫍81A⇼⇔∾⪎⋱⫍A04=⪎⋱⫍1B7","layer":3},{"info":"⪎⋱⫍-952+⪎⋱⫍1B7=⪎⋱⫍-768","layer":2},{"info":"NaN⫥∨⫟⪎⋱⫍-768=NaN","layer":1},{"info":"⪎⋱⫍8AC0⊉≛↸NaN=⪎⋱⫍148B0","layer":0}]}
{"id":707,"expression_no_base_symbol":"(($1788$⊭↱$1670$)∑⇟⊟($3343$⋷$7259$)/$1295$⪮%⊝$2023$⫥∨⫟($6154$/$1567$))⨎(↩($1624$+⇶⊼$2631$)⪮%⊝($1647$⪄$3841$))","expression":"((⪎⋱⫍A77⊭↱⪎⋱⫍9B6)∑⇟⊟(⪎⋱⫍16A2⋷⪎⋱⫍33C5)/⪎⋱⫍788⪮%⊝⪎⋱⫍BC8⫥∨⫟(⪎⋱⫍2A55/⪎⋱⫍937))⨎(↩(⪎⋱⫍97C+⇶⊼⪎⋱⫍1275)⪮%⊝(⪎⋱⫍999⪄⪎⋱⫍1996))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":302,"operation_count":12,"complexity_ratio":25.166666666666668,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1788,"base":13},"right_expr":{"type":"numeric_atoms","value":1670,"base":13}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":3343,"base":13},"right_expr":{"type":"numeric_atoms","value":7259,"base":13}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1295,"base":13},"right_expr":{"type":"numeric_atoms","value":2023,"base":13}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":6154,"base":13},"right_expr":{"type":"numeric_atoms","value":1567,"base":13}}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1624,"base":13},"right_expr":{"type":"numeric_atoms","value":2631,"base":13}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1647,"base":13},"right_expr":{"type":"numeric_atoms","value":3841,"base":13}}}}},"used_operators":["rJVOvQCfKK","XhwjNDsVaA","U7g4x0WXJJ","COABgblf1C","23Mk6UjR3U","KYD54nUTWz","IWmyXbctLI","jLgFTUHLKL","TpPTUOHfaN","SUmda5xLS4"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","AHs5Up7iyr","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1788","layer":4},{"info":"number node, value=1670","layer":4},{"info":"compute binary expreesion, left_input=1788, right_input=1670, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-231","layer":3},{"info":"number node, value=3343","layer":4},{"info":"number node, value=7259","layer":4},{"info":"compute binary expreesion, left_input=3343, right_input=7259, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=11175","layer":3},{"info":"compute binary expreesion, left_input=-231, right_input=11175, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=1295","layer":4},{"info":"number node, value=2023","layer":4},{"info":"compute binary expreesion, left_input=1295, right_input=2023, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=2906","layer":3},{"info":"number node, value=6154","layer":4},{"info":"number node, value=1567","layer":4},{"info":"compute binary expreesion, left_input=6154, right_input=1567, op_id = XhwjNDsVaA binary_op_definition= 'None', output=3","layer":3},{"info":"compute binary expreesion, left_input=2906, right_input=3, 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 = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=1624","layer":4},{"info":"number node, value=2631","layer":4},{"info":"compute binary expreesion, left_input=1624, right_input=2631, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=1647","layer":4},{"info":"number node, value=3841","layer":4},{"info":"compute binary expreesion, left_input=1647, right_input=3841, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-255209","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-255209, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=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":13,"result_base":13,"text":"((⪎⋱⫍A77⊭↱⪎⋱⫍9B6)∑⇟⊟(⪎⋱⫍16A2⋷⪎⋱⫍33C5)/⪎⋱⫍788⪮%⊝⪎⋱⫍BC8⫥∨⫟(⪎⋱⫍2A55/⪎⋱⫍937))⨎(↩(⪎⋱⫍97C+⇶⊼⪎⋱⫍1275)⪮%⊝(⪎⋱⫍999⪄⪎⋱⫍1996))=NaN","reverse_text":"NaN=((⪎⋱⫍A77⊭↱⪎⋱⫍9B6)∑⇟⊟(⪎⋱⫍16A2⋷⪎⋱⫍33C5)/⪎⋱⫍788⪮%⊝⪎⋱⫍BC8⫥∨⫟(⪎⋱⫍2A55/⪎⋱⫍937))⨎(↩(⪎⋱⫍97C+⇶⊼⪎⋱⫍1275)⪮%⊝(⪎⋱⫍999⪄⪎⋱⫍1996))","cot":[{"info":"⪎⋱⫍A77⊭↱⪎⋱⫍9B6=⪎⋱⫍-14A","layer":3},{"info":"⪎⋱⫍16A2⋷⪎⋱⫍33C5=⪎⋱⫍5118","layer":3},{"info":"⪎⋱⫍-14A∑⇟⊟⪎⋱⫍5118=NaN","layer":2},{"info":"⪎⋱⫍788⪮%⊝⪎⋱⫍BC8=⪎⋱⫍1427","layer":3},{"info":"⪎⋱⫍2A55/⪎⋱⫍937=⪎⋱⫍3","layer":3},{"info":"⪎⋱⫍1427⫥∨⫟⪎⋱⫍3=NaN","layer":2},{"info":"NaN/NaN=NaN","layer":1},{"info":"⪎⋱⫍97C+⇶⊼⪎⋱⫍1275=NaN","layer":3},{"info":"⪎⋱⫍999⪄⪎⋱⫍1996=⪎⋱⫍-8C216","layer":3},{"info":"NaN⪮%⊝⪎⋱⫍-8C216=NaN","layer":2},{"info":"↩NaN=NaN","layer":1},{"info":"NaN⨎NaN=NaN","layer":0}]}
{"id":708,"expression_no_base_symbol":"(($1032$⋥≓≎$1844$)⨐⩸⫘(⫛⫱⨽$5188$)∲⫓(↥$1463$)⇷$5443$⪘⫢$1313$)⋥≓≎(($1471$+$5605$)∑⇟⊟(⨞⊢$3953$))⊴((⨵≀≌$2271$)⪄$1864$↬$1078$)","expression":"((⪎⋱⫍615⋥≓≎⪎⋱⫍ABB)⨐⩸⫘(⫛⫱⨽⪎⋱⫍2491)∲⫓(↥⪎⋱⫍887)⇷⪎⋱⫍2629⪘⫢⪎⋱⫍7A0)⋥≓≎((⪎⋱⫍892+⪎⋱⫍2722)∑⇟⊟(⨞⊢⪎⋱⫍1A51))⊴((⨵≀≌⪎⋱⫍1059)⪄⪎⋱⫍B05↬⪎⋱⫍64C)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":6057,"operation_count":15,"complexity_ratio":403.8,"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":1032,"base":13},"right_expr":{"type":"numeric_atoms","value":1844,"base":13}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":5188,"base":13}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":1463,"base":13}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":5443,"base":13},"right_expr":{"type":"numeric_atoms","value":1313,"base":13}}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1471,"base":13},"right_expr":{"type":"numeric_atoms","value":5605,"base":13}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":3953,"base":13}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":2271,"base":13}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1864,"base":13},"right_expr":{"type":"numeric_atoms","value":1078,"base":13}}}}},"used_operators":["Qy55tPpLXF","i8ToyICDmI","fu6greOZ01","DlLNRPXxWL","mp7IySMOzn","A8NUZmVepG","oacrs7FA3X","Nsiff2A1zJ","U7g4x0WXJJ","W4YGzv6Whe","xUOZtlo3hN","SUmda5xLS4","srAu1WTS94","B5M0gjZbta"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","rGHVDoGpnC","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","k8jYdgA6NY","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","dWAJyo7jo9","14qkJME0vr","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1032","layer":4},{"info":"number node, value=1844","layer":4},{"info":"compute binary expreesion, left_input=1032, right_input=1844, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=2689","layer":3},{"info":"number node, value=5188","layer":4},{"info":"compute unary expreesion, input=5188, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=2689, 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=2689","layer":2},{"info":"number node, value=1463","layer":4},{"info":"compute unary expreesion, input=1463, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=35","layer":3},{"info":"number node, value=5443","layer":4},{"info":"number node, value=1313","layer":4},{"info":"compute binary expreesion, left_input=5443, right_input=1313, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=10762","layer":3},{"info":"compute binary expreesion, left_input=35, right_input=10762, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=21524","layer":2},{"info":"compute binary expreesion, left_input=2689, right_input=21524, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":1},{"info":"number node, value=1471","layer":4},{"info":"number node, value=5605","layer":4},{"info":"compute binary expreesion, left_input=1471, right_input=5605, op_id = W4YGzv6Whe binary_op_definition= 'None', output=7076","layer":3},{"info":"number node, value=3953","layer":4},{"info":"compute unary expreesion, input=3953, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-4127","layer":3},{"info":"compute binary expreesion, left_input=7076, right_input=-4127, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=2271","layer":4},{"info":"compute unary expreesion, input=2271, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-6813","layer":3},{"info":"number node, value=1864","layer":4},{"info":"number node, value=1078","layer":4},{"info":"compute binary expreesion, left_input=1864, right_input=1078, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=-6813, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=3979, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍615⋥≓≎⪎⋱⫍ABB)⨐⩸⫘(⫛⫱⨽⪎⋱⫍2491)∲⫓(↥⪎⋱⫍887)⇷⪎⋱⫍2629⪘⫢⪎⋱⫍7A0)⋥≓≎((⪎⋱⫍892+⪎⋱⫍2722)∑⇟⊟(⨞⊢⪎⋱⫍1A51))⊴((⨵≀≌⪎⋱⫍1059)⪄⪎⋱⫍B05↬⪎⋱⫍64C)=NaN","reverse_text":"NaN=((⪎⋱⫍615⋥≓≎⪎⋱⫍ABB)⨐⩸⫘(⫛⫱⨽⪎⋱⫍2491)∲⫓(↥⪎⋱⫍887)⇷⪎⋱⫍2629⪘⫢⪎⋱⫍7A0)⋥≓≎((⪎⋱⫍892+⪎⋱⫍2722)∑⇟⊟(⨞⊢⪎⋱⫍1A51))⊴((⨵≀≌⪎⋱⫍1059)⪄⪎⋱⫍B05↬⪎⋱⫍64C)","cot":[{"info":"⪎⋱⫍615⋥≓≎⪎⋱⫍ABB=⪎⋱⫍12BB","layer":3},{"info":"⫛⫱⨽⪎⋱⫍2491=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍12BB⨐⩸⫘⪎⋱⫍0=⪎⋱⫍12BB","layer":2},{"info":"↥⪎⋱⫍887=⪎⋱⫍29","layer":3},{"info":"⪎⋱⫍2629⪘⫢⪎⋱⫍7A0=⪎⋱⫍4B8B","layer":3},{"info":"⪎⋱⫍29⇷⪎⋱⫍4B8B=⪎⋱⫍9A49","layer":2},{"info":"⪎⋱⫍12BB∲⫓⪎⋱⫍9A49=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍892+⪎⋱⫍2722=⪎⋱⫍32B4","layer":3},{"info":"⨞⊢⪎⋱⫍1A51=⪎⋱⫍-1B56","layer":3},{"info":"⪎⋱⫍32B4∑⇟⊟⪎⋱⫍-1B56=NaN","layer":2},{"info":"⨵≀≌⪎⋱⫍1059=⪎⋱⫍-3141","layer":3},{"info":"⪎⋱⫍B05↬⪎⋱⫍64C=NaN","layer":3},{"info":"⪎⋱⫍-3141⪄NaN=⪎⋱⫍1A71","layer":2},{"info":"NaN⊴⪎⋱⫍1A71=NaN","layer":1},{"info":"⪎⋱⫍0⋥≓≎NaN=NaN","layer":0}]}
{"id":709,"expression_no_base_symbol":"($7251$⨽$1785$)⪮%⊝(⊙↵-$1105$)⨓($2145$-$2998$↪⪝)∲⫓(($1027$⋫)≭($1851$⨵⪆$3336$)⋷($6191$⨁⊸⫻)↺($5635$↺$6185$))","expression":"(⪎⋱⫍33BA⨽⪎⋱⫍A74)⪮%⊝(⊙↵-⪎⋱⫍670)⨓(⪎⋱⫍C90-⪎⋱⫍1498↪⪝)∲⫓((⪎⋱⫍610⋫)≭(⪎⋱⫍AC5⨵⪆⪎⋱⫍1698)⋷(⪎⋱⫍2A83⨁⊸⫻)↺(⪎⋱⫍2746↺⪎⋱⫍2A7A))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":10166,"operation_count":14,"complexity_ratio":726.1428571428571,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":7251,"base":13},"right_expr":{"type":"numeric_atoms","value":1785,"base":13}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1105,"base":13}}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2145,"base":13},"right_expr":{"type":"numeric_atoms","value":2998,"base":13}}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":1027,"base":13}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1851,"base":13},"right_expr":{"type":"numeric_atoms","value":3336,"base":13}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":6191,"base":13}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":5635,"base":13},"right_expr":{"type":"numeric_atoms","value":6185,"base":13}}}}},"used_operators":["i8ToyICDmI","3ViojmjbAp","IWmyXbctLI","8HhzD0ZcuI","oWn0xqSxBt","l07mrZUIn9","rysDP5nf3Z","23Mk6UjR3U","rxpJgHHUmx","JL8yIekQnl","2DQ55sFlQl","7j4O788W3g","glklzrTFfD"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","9HNa5Wba9A","2DDjHMKMc0","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","tmPS8pqC7x","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=7251","layer":4},{"info":"number node, value=1785","layer":4},{"info":"compute binary expreesion, left_input=7251, right_input=1785, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-157735044","layer":3},{"info":"number node, value=1105","layer":4},{"info":"compute unary expreesion, input=1105, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=-157735044, right_input=-1, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-315469772","layer":2},{"info":"number node, value=2145","layer":4},{"info":"number node, value=2998","layer":4},{"info":"compute binary expreesion, left_input=2145, right_input=2998, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-853","layer":3},{"info":"compute unary expreesion, input=-853, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=-52188246","layer":2},{"info":"compute binary expreesion, left_input=-315469772, right_input=-52188246, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":1},{"info":"number node, value=1027","layer":4},{"info":"compute unary expreesion, input=1027, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=1027","layer":3},{"info":"number node, value=1851","layer":4},{"info":"number node, value=3336","layer":4},{"info":"compute binary expreesion, left_input=1851, right_input=3336, 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=1027, 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":"number node, value=6191","layer":4},{"info":"compute unary expreesion, input=6191, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=6191","layer":3},{"info":"number node, value=5635","layer":4},{"info":"number node, value=6185","layer":4},{"info":"compute binary expreesion, left_input=5635, right_input=6185, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=6185","layer":3},{"info":"compute binary expreesion, left_input=6191, right_input=6185, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=6185","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=6185, 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 = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍33BA⨽⪎⋱⫍A74)⪮%⊝(⊙↵-⪎⋱⫍670)⨓(⪎⋱⫍C90-⪎⋱⫍1498↪⪝)∲⫓((⪎⋱⫍610⋫)≭(⪎⋱⫍AC5⨵⪆⪎⋱⫍1698)⋷(⪎⋱⫍2A83⨁⊸⫻)↺(⪎⋱⫍2746↺⪎⋱⫍2A7A))=NaN","reverse_text":"NaN=(⪎⋱⫍33BA⨽⪎⋱⫍A74)⪮%⊝(⊙↵-⪎⋱⫍670)⨓(⪎⋱⫍C90-⪎⋱⫍1498↪⪝)∲⫓((⪎⋱⫍610⋫)≭(⪎⋱⫍AC5⨵⪆⪎⋱⫍1698)⋷(⪎⋱⫍2A83⨁⊸⫻)↺(⪎⋱⫍2746↺⪎⋱⫍2A7A))","cot":[{"info":"⪎⋱⫍33BA⨽⪎⋱⫍A74=⪎⋱⫍-268A985C","layer":3},{"info":"⊙↵-⪎⋱⫍670=⪎⋱⫍-1","layer":3},{"info":"⪎⋱⫍-268A985C⪮%⊝⪎⋱⫍-1=⪎⋱⫍-50486207","layer":2},{"info":"⪎⋱⫍C90-⪎⋱⫍1498=⪎⋱⫍-508","layer":3},{"info":"⪎⋱⫍-508↪⪝=⪎⋱⫍-AA73426","layer":2},{"info":"⪎⋱⫍-50486207⨓⪎⋱⫍-AA73426=NaN","layer":1},{"info":"⪎⋱⫍610⋫=⪎⋱⫍610","layer":3},{"info":"⪎⋱⫍AC5⨵⪆⪎⋱⫍1698=⪎⋱⫍C4","layer":3},{"info":"⪎⋱⫍610≭⪎⋱⫍C4=NaN","layer":2},{"info":"⪎⋱⫍2A83⨁⊸⫻=⪎⋱⫍2A83","layer":3},{"info":"⪎⋱⫍2746↺⪎⋱⫍2A7A=⪎⋱⫍2A7A","layer":3},{"info":"⪎⋱⫍2A83↺⪎⋱⫍2A7A=⪎⋱⫍2A7A","layer":2},{"info":"NaN⋷⪎⋱⫍2A7A=NaN","layer":1},{"info":"NaN∲⫓NaN=NaN","layer":0}]}
{"id":710,"expression_no_base_symbol":"($2165$⩚⊴⇥$5929$⩨($7251$+$1472$)⨸⪁$2126$⨟⋌⩍$5019$∑⇟⊟($1687$⪒$5061$))∼(($3742$⇷$1316$⇼⇔∾$2179$≎⊠⪸$3729$)⫸⊐(⊄⩳↩(↯⪼$2561$)))","expression":"(⪎⋱⫍CA7⩚⊴⇥⪎⋱⫍2911⩨(⪎⋱⫍33BA+⪎⋱⫍893)⨸⪁⪎⋱⫍C77⨟⋌⩍⪎⋱⫍2391∑⇟⊟(⪎⋱⫍9CA⪒⪎⋱⫍23C4))∼((⪎⋱⫍191B⇷⪎⋱⫍7A3⇼⇔∾⪎⋱⫍CB8≎⊠⪸⪎⋱⫍190B)⫸⊐(⊄⩳↩(↯⪼⪎⋱⫍1220)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":53269,"operation_count":14,"complexity_ratio":3804.9285714285716,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2165,"base":13},"right_expr":{"type":"numeric_atoms","value":5929,"base":13}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":7251,"base":13},"right_expr":{"type":"numeric_atoms","value":1472,"base":13}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2126,"base":13},"right_expr":{"type":"numeric_atoms","value":5019,"base":13}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1687,"base":13},"right_expr":{"type":"numeric_atoms","value":5061,"base":13}}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":3742,"base":13},"right_expr":{"type":"numeric_atoms","value":1316,"base":13}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2179,"base":13},"right_expr":{"type":"numeric_atoms","value":3729,"base":13}}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":2561,"base":13}}}}},"used_operators":["DyGG3AbaNP","g55IO6H4Gj","2DlMacCsIx","NTOWxs364D","W4YGzv6Whe","U7g4x0WXJJ","rGHVDoGpnC","f6k1SAg4EE","mqXw5SEYmG","tifHPKVTfV","mp7IySMOzn","bJkvcejdHO","8w2t5hMYqp","8jW3W4yZS5"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2165","layer":4},{"info":"number node, value=5929","layer":4},{"info":"compute binary expreesion, left_input=2165, right_input=5929, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-8215","layer":3},{"info":"number node, value=7251","layer":4},{"info":"number node, value=1472","layer":4},{"info":"compute binary expreesion, left_input=7251, right_input=1472, op_id = W4YGzv6Whe binary_op_definition= 'None', output=8723","layer":3},{"info":"compute binary expreesion, left_input=-8215, right_input=8723, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=6","layer":2},{"info":"number node, value=2126","layer":4},{"info":"number node, value=5019","layer":4},{"info":"compute binary expreesion, left_input=2126, right_input=5019, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=1687","layer":4},{"info":"number node, value=5061","layer":4},{"info":"compute binary expreesion, left_input=1687, right_input=5061, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-6748","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-6748, 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=6, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":1},{"info":"number node, value=3742","layer":4},{"info":"number node, value=1316","layer":4},{"info":"compute binary expreesion, left_input=3742, right_input=1316, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2632","layer":3},{"info":"number node, value=2179","layer":4},{"info":"number node, value=3729","layer":4},{"info":"compute binary expreesion, left_input=2179, right_input=3729, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=563888","layer":3},{"info":"compute binary expreesion, left_input=2632, right_input=563888, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=561256","layer":2},{"info":"number node, value=2561","layer":4},{"info":"compute unary expreesion, input=2561, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":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=561256, right_input=63, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=127","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=127, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=0","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍CA7⩚⊴⇥⪎⋱⫍2911⩨(⪎⋱⫍33BA+⪎⋱⫍893)⨸⪁⪎⋱⫍C77⨟⋌⩍⪎⋱⫍2391∑⇟⊟(⪎⋱⫍9CA⪒⪎⋱⫍23C4))∼((⪎⋱⫍191B⇷⪎⋱⫍7A3⇼⇔∾⪎⋱⫍CB8≎⊠⪸⪎⋱⫍190B)⫸⊐(⊄⩳↩(↯⪼⪎⋱⫍1220)))=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=(⪎⋱⫍CA7⩚⊴⇥⪎⋱⫍2911⩨(⪎⋱⫍33BA+⪎⋱⫍893)⨸⪁⪎⋱⫍C77⨟⋌⩍⪎⋱⫍2391∑⇟⊟(⪎⋱⫍9CA⪒⪎⋱⫍23C4))∼((⪎⋱⫍191B⇷⪎⋱⫍7A3⇼⇔∾⪎⋱⫍CB8≎⊠⪸⪎⋱⫍190B)⫸⊐(⊄⩳↩(↯⪼⪎⋱⫍1220)))","cot":[{"info":"⪎⋱⫍CA7⩚⊴⇥⪎⋱⫍2911=⪎⋱⫍-397C","layer":3},{"info":"⪎⋱⫍33BA+⪎⋱⫍893=⪎⋱⫍3C80","layer":3},{"info":"⪎⋱⫍-397C⩨⪎⋱⫍3C80=⪎⋱⫍6","layer":2},{"info":"⪎⋱⫍C77⨟⋌⩍⪎⋱⫍2391=NaN","layer":3},{"info":"⪎⋱⫍9CA⪒⪎⋱⫍23C4=⪎⋱⫍-30C1","layer":3},{"info":"NaN∑⇟⊟⪎⋱⫍-30C1=NaN","layer":2},{"info":"⪎⋱⫍6⨸⪁NaN=NaN","layer":1},{"info":"⪎⋱⫍191B⇷⪎⋱⫍7A3=⪎⋱⫍1276","layer":3},{"info":"⪎⋱⫍CB8≎⊠⪸⪎⋱⫍190B=⪎⋱⫍169880","layer":3},{"info":"⪎⋱⫍1276⇼⇔∾⪎⋱⫍169880=⪎⋱⫍168607","layer":2},{"info":"↯⪼⪎⋱⫍1220=⪎⋱⫍-18","layer":3},{"info":"⊄⩳↩⪎⋱⫍-18=⪎⋱⫍4B","layer":2},{"info":"⪎⋱⫍168607⫸⊐⪎⋱⫍4B=⪎⋱⫍9A","layer":1},{"info":"NaN∼⪎⋱⫍9A=⪎⋱⫍0","layer":0}]}
{"id":711,"expression_no_base_symbol":"((⇁⨣⪵(⊙↵-$1224$))⇼⇔∾($3390$⩨$1200$∲⫓$2604$↬$2491$))⪘⫢((⪝⪂⫅$2046$⪢$1095$)∑⇟⊟(($5980$∲⫓$1243$)⇼⇔∾$2948$⋝⋈⪟$5484$))","expression":"((⇁⨣⪵(⊙↵-⪎⋱⫍732))⇼⇔∾(⪎⋱⫍170A⩨⪎⋱⫍714∲⫓⪎⋱⫍1254↬⪎⋱⫍1198))⪘⫢((⪝⪂⫅⪎⋱⫍C15⪢⪎⋱⫍663)∑⇟⊟((⪎⋱⫍2950∲⫓⪎⋱⫍748)⇼⇔∾⪎⋱⫍145A⋝⋈⪟⪎⋱⫍265B))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2970,"operation_count":13,"complexity_ratio":228.46153846153845,"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":1224,"base":13}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":3390,"base":13},"right_expr":{"type":"numeric_atoms","value":1200,"base":13}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2604,"base":13},"right_expr":{"type":"numeric_atoms","value":2491,"base":13}}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2046,"base":13},"right_expr":{"type":"numeric_atoms","value":1095,"base":13}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":5980,"base":13},"right_expr":{"type":"numeric_atoms","value":1243,"base":13}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2948,"base":13},"right_expr":{"type":"numeric_atoms","value":5484,"base":13}}}}},"used_operators":["oacrs7FA3X","tifHPKVTfV","inkyxCbjAn","oWn0xqSxBt","i8ToyICDmI","2DlMacCsIx","B5M0gjZbta","U7g4x0WXJJ","XTarYq4gQB","dWAJyo7jo9","2DDjHMKMc0"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rGHVDoGpnC","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","9HNa5Wba9A","8w2t5hMYqp","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1224","layer":4},{"info":"compute unary expreesion, input=1224, 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 = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=34","layer":2},{"info":"number node, value=3390","layer":4},{"info":"number node, value=1200","layer":4},{"info":"compute binary expreesion, left_input=3390, right_input=1200, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=2604","layer":4},{"info":"number node, value=2491","layer":4},{"info":"compute binary expreesion, left_input=2604, right_input=2491, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=34, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":1},{"info":"number node, value=2046","layer":4},{"info":"number node, value=1095","layer":4},{"info":"compute binary expreesion, left_input=2046, right_input=1095, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=nan","layer":2},{"info":"number node, value=5980","layer":4},{"info":"number node, value=1243","layer":4},{"info":"compute binary expreesion, left_input=5980, right_input=1243, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=2948","layer":4},{"info":"number node, value=5484","layer":4},{"info":"compute binary expreesion, left_input=2948, right_input=5484, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2948","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2948, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=2948","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=2948, 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 = 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":13,"result_base":13,"text":"((⇁⨣⪵(⊙↵-⪎⋱⫍732))⇼⇔∾(⪎⋱⫍170A⩨⪎⋱⫍714∲⫓⪎⋱⫍1254↬⪎⋱⫍1198))⪘⫢((⪝⪂⫅⪎⋱⫍C15⪢⪎⋱⫍663)∑⇟⊟((⪎⋱⫍2950∲⫓⪎⋱⫍748)⇼⇔∾⪎⋱⫍145A⋝⋈⪟⪎⋱⫍265B))=NaN","reverse_text":"NaN=((⇁⨣⪵(⊙↵-⪎⋱⫍732))⇼⇔∾(⪎⋱⫍170A⩨⪎⋱⫍714∲⫓⪎⋱⫍1254↬⪎⋱⫍1198))⪘⫢((⪝⪂⫅⪎⋱⫍C15⪢⪎⋱⫍663)∑⇟⊟((⪎⋱⫍2950∲⫓⪎⋱⫍748)⇼⇔∾⪎⋱⫍145A⋝⋈⪟⪎⋱⫍265B))","cot":[{"info":"⊙↵-⪎⋱⫍732=⪎⋱⫍-1","layer":3},{"info":"⇁⨣⪵⪎⋱⫍-1=⪎⋱⫍28","layer":2},{"info":"⪎⋱⫍170A⩨⪎⋱⫍714=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍1254↬⪎⋱⫍1198=NaN","layer":3},{"info":"⪎⋱⫍0∲⫓NaN=NaN","layer":2},{"info":"⪎⋱⫍28⇼⇔∾NaN=NaN","layer":1},{"info":"⪎⋱⫍C15⪢⪎⋱⫍663=NaN","layer":3},{"info":"⪝⪂⫅NaN=NaN","layer":2},{"info":"⪎⋱⫍2950∲⫓⪎⋱⫍748=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍145A⋝⋈⪟⪎⋱⫍265B=⪎⋱⫍145A","layer":3},{"info":"⪎⋱⫍0⇼⇔∾⪎⋱⫍145A=⪎⋱⫍145A","layer":2},{"info":"NaN∑⇟⊟⪎⋱⫍145A=NaN","layer":1},{"info":"NaN⪘⫢NaN=NaN","layer":0}]}
{"id":712,"expression_no_base_symbol":"(≦∁($3010$⪘⫢$2158$)⨟⋌⩍($1001$⪐))/(⨵≀≌($3389$∀⇚≩$3154$≦≮≮))","expression":"(≦∁(⪎⋱⫍14A7⪘⫢⪎⋱⫍CA0)⨟⋌⩍(⪎⋱⫍5C0⪐))/(⨵≀≌(⪎⋱⫍1709∀⇚≩⪎⋱⫍1588≦≮≮))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":23749,"operation_count":8,"complexity_ratio":2968.625,"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":3010,"base":13},"right_expr":{"type":"numeric_atoms","value":2158,"base":13}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":1001,"base":13}}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":3389,"base":13},"right_expr":{"type":"numeric_atoms","value":3154,"base":13}}}}},"used_operators":["XhwjNDsVaA","9ICcGScMcE","rGHVDoGpnC","oacrs7FA3X","eH2TOUuTDT","srAu1WTS94","D4vGDi5EA2","LRNGc0VcxI"],"dependent_operators":["rysDP5nf3Z","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","Tcnh7f0tEr","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=3010","layer":4},{"info":"number node, value=2158","layer":4},{"info":"compute binary expreesion, left_input=3010, right_input=2158, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=5896","layer":3},{"info":"number node, value=1001","layer":4},{"info":"compute unary expreesion, input=1001, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=2002","layer":3},{"info":"compute binary expreesion, left_input=5896, right_input=2002, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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 = 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=3389","layer":4},{"info":"number node, value=3154","layer":4},{"info":"compute binary expreesion, left_input=3389, right_input=3154, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":0}],"base":13,"result_base":13,"text":"(≦∁(⪎⋱⫍14A7⪘⫢⪎⋱⫍CA0)⨟⋌⩍(⪎⋱⫍5C0⪐))/(⨵≀≌(⪎⋱⫍1709∀⇚≩⪎⋱⫍1588≦≮≮))=NaN","reverse_text":"NaN=(≦∁(⪎⋱⫍14A7⪘⫢⪎⋱⫍CA0)⨟⋌⩍(⪎⋱⫍5C0⪐))/(⨵≀≌(⪎⋱⫍1709∀⇚≩⪎⋱⫍1588≦≮≮))","cot":[{"info":"⪎⋱⫍14A7⪘⫢⪎⋱⫍CA0=⪎⋱⫍28B7","layer":3},{"info":"⪎⋱⫍5C0⪐=⪎⋱⫍BB0","layer":3},{"info":"⪎⋱⫍28B7⨟⋌⩍⪎⋱⫍BB0=NaN","layer":2},{"info":"≦∁NaN=NaN","layer":1},{"info":"⪎⋱⫍1709∀⇚≩⪎⋱⫍1588=NaN","layer":3},{"info":"NaN≦≮≮=NaN","layer":2},{"info":"⨵≀≌NaN=NaN","layer":1},{"info":"NaN/NaN=NaN","layer":0}]}
{"id":713,"expression_no_base_symbol":"↔(($3702$⪘⫢$4656$%$1318$↺$2362$)⋳⪒($4035$⊉≛↸$2219$)∀⇚≩($8639$⫡⨏$2929$))","expression":"↔((⪎⋱⫍18BA⪘⫢⪎⋱⫍2172%⪎⋱⫍7A5↺⪎⋱⫍10C9)⋳⪒(⪎⋱⫍1AB5⊉≛↸⪎⋱⫍1019)∀⇚≩(⪎⋱⫍3C17⫡⨏⪎⋱⫍1444))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":56548,"operation_count":8,"complexity_ratio":7068.5,"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":3702,"base":13},"right_expr":{"type":"numeric_atoms","value":4656,"base":13}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1318,"base":13},"right_expr":{"type":"numeric_atoms","value":2362,"base":13}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":4035,"base":13},"right_expr":{"type":"numeric_atoms","value":2219,"base":13}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":8639,"base":13},"right_expr":{"type":"numeric_atoms","value":2929,"base":13}}}}},"used_operators":["ruOEQAzv1W","12rbrZMWeM","k8jYdgA6NY","oacrs7FA3X","7j4O788W3g","LRNGc0VcxI","DZ8iAZOCBD","QMFrweE19q"],"dependent_operators":["XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍-A4","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3702","layer":4},{"info":"number node, value=4656","layer":4},{"info":"compute binary expreesion, left_input=3702, right_input=4656, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=7280","layer":3},{"info":"number node, value=1318","layer":4},{"info":"number node, value=2362","layer":4},{"info":"compute binary expreesion, left_input=1318, right_input=2362, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2362","layer":3},{"info":"compute binary expreesion, left_input=7280, right_input=2362, op_id = k8jYdgA6NY binary_op_definition= 'None', output=194","layer":2},{"info":"number node, value=4035","layer":4},{"info":"number node, value=2219","layer":4},{"info":"compute binary expreesion, left_input=4035, right_input=2219, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=8070","layer":3},{"info":"number node, value=8639","layer":4},{"info":"number node, value=2929","layer":4},{"info":"compute binary expreesion, left_input=8639, right_input=2929, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=49836","layer":3},{"info":"compute binary expreesion, left_input=8070, right_input=49836, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=194, right_input=nan, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":0}],"base":13,"result_base":13,"text":"↔((⪎⋱⫍18BA⪘⫢⪎⋱⫍2172%⪎⋱⫍7A5↺⪎⋱⫍10C9)⋳⪒(⪎⋱⫍1AB5⊉≛↸⪎⋱⫍1019)∀⇚≩(⪎⋱⫍3C17⫡⨏⪎⋱⫍1444))=⪎⋱⫍-A4","reverse_text":"⪎⋱⫍-A4=↔((⪎⋱⫍18BA⪘⫢⪎⋱⫍2172%⪎⋱⫍7A5↺⪎⋱⫍10C9)⋳⪒(⪎⋱⫍1AB5⊉≛↸⪎⋱⫍1019)∀⇚≩(⪎⋱⫍3C17⫡⨏⪎⋱⫍1444))","cot":[{"info":"⪎⋱⫍18BA⪘⫢⪎⋱⫍2172=⪎⋱⫍3410","layer":3},{"info":"⪎⋱⫍7A5↺⪎⋱⫍10C9=⪎⋱⫍10C9","layer":3},{"info":"⪎⋱⫍3410%⪎⋱⫍10C9=⪎⋱⫍11C","layer":2},{"info":"⪎⋱⫍1AB5⊉≛↸⪎⋱⫍1019=⪎⋱⫍389A","layer":3},{"info":"⪎⋱⫍3C17⫡⨏⪎⋱⫍1444=⪎⋱⫍198B7","layer":3},{"info":"⪎⋱⫍389A∀⇚≩⪎⋱⫍198B7=NaN","layer":2},{"info":"⪎⋱⫍11C⋳⪒NaN=NaN","layer":1},{"info":"↔NaN=⪎⋱⫍-A4","layer":0}]}
{"id":714,"expression_no_base_symbol":"(⨈⫕($3249$⪄$2818$⨸⪁($3586$∧)))⪛((⫛⫱⨽$1318$)⪒$3314$⋳⪒$4923$)⨟⋌⩍(≤/$3730$⨐⩸⫘$3781$)","expression":"(⨈⫕(⪎⋱⫍162C⪄⪎⋱⫍138A⨸⪁(⪎⋱⫍182B∧)))⪛((⫛⫱⨽⪎⋱⫍7A5)⪒⪎⋱⫍167C⋳⪒⪎⋱⫍2319)⨟⋌⩍(≤/⪎⋱⫍190C⨐⩸⫘⪎⋱⫍194B)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1929,"operation_count":11,"complexity_ratio":175.36363636363637,"tree":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":3249,"base":13},"right_expr":{"type":"numeric_atoms","value":2818,"base":13}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":3586,"base":13}}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":1318,"base":13}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":3314,"base":13},"right_expr":{"type":"numeric_atoms","value":4923,"base":13}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":3730,"base":13},"right_expr":{"type":"numeric_atoms","value":3781,"base":13}}}}},"used_operators":["uFcxV4UQCh","megm06wKyl","g55IO6H4Gj","SUmda5xLS4","z63VuFQld9","rGHVDoGpnC","f6k1SAg4EE","DlLNRPXxWL","12rbrZMWeM","eLAdDNolq6","fu6greOZ01"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3249","layer":4},{"info":"number node, value=2818","layer":4},{"info":"compute binary expreesion, left_input=3249, right_input=2818, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-488213","layer":3},{"info":"number node, value=3586","layer":4},{"info":"compute unary expreesion, input=3586, 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=-488213, 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 = 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=1318","layer":4},{"info":"compute unary expreesion, input=1318, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=3314","layer":4},{"info":"number node, value=4923","layer":4},{"info":"compute binary expreesion, left_input=3314, right_input=4923, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=1418","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1418, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-1418","layer":2},{"info":"number node, value=3730","layer":4},{"info":"number node, value=3781","layer":4},{"info":"compute binary expreesion, left_input=3730, right_input=3781, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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 = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-1418, 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=-21, right_input=nan, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⨈⫕(⪎⋱⫍162C⪄⪎⋱⫍138A⨸⪁(⪎⋱⫍182B∧)))⪛((⫛⫱⨽⪎⋱⫍7A5)⪒⪎⋱⫍167C⋳⪒⪎⋱⫍2319)⨟⋌⩍(≤/⪎⋱⫍190C⨐⩸⫘⪎⋱⫍194B)=NaN","reverse_text":"NaN=(⨈⫕(⪎⋱⫍162C⪄⪎⋱⫍138A⨸⪁(⪎⋱⫍182B∧)))⪛((⫛⫱⨽⪎⋱⫍7A5)⪒⪎⋱⫍167C⋳⪒⪎⋱⫍2319)⨟⋌⩍(≤/⪎⋱⫍190C⨐⩸⫘⪎⋱⫍194B)","cot":[{"info":"⪎⋱⫍162C⪄⪎⋱⫍138A=⪎⋱⫍-1412AB","layer":3},{"info":"⪎⋱⫍182B∧=NaN","layer":3},{"info":"⪎⋱⫍-1412AB⨸⪁NaN=NaN","layer":2},{"info":"⨈⫕NaN=⪎⋱⫍-18","layer":1},{"info":"⫛⫱⨽⪎⋱⫍7A5=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍167C⋳⪒⪎⋱⫍2319=⪎⋱⫍851","layer":3},{"info":"⪎⋱⫍0⪒⪎⋱⫍851=⪎⋱⫍-851","layer":2},{"info":"⪎⋱⫍190C⨐⩸⫘⪎⋱⫍194B=NaN","layer":3},{"info":"≤/NaN=NaN","layer":2},{"info":"⪎⋱⫍-851⨟⋌⩍NaN=NaN","layer":1},{"info":"⪎⋱⫍-18⪛NaN=NaN","layer":0}]}
{"id":715,"expression_no_base_symbol":"(($2630$⊉≛↸$5664$)⊴($1133$⫸⊐$6107$)↛⩡⫤)⫡⨏((∥⊫$3753$)≎⊠⪸$1246$⇷$1267$)⊴(($2396$⪨≂$2385$)⋓(⨵≀≌$1217$))","expression":"((⪎⋱⫍1274⊉≛↸⪎⋱⫍2769)⊴(⪎⋱⫍692⫸⊐⪎⋱⫍2A1A)↛⩡⫤)⫡⨏((∥⊫⪎⋱⫍1929)≎⊠⪸⪎⋱⫍74B⇷⪎⋱⫍766)⊴((⪎⋱⫍1124⪨≂⪎⋱⫍1116)⋓(⨵≀≌⪎⋱⫍728))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":42157,"operation_count":12,"complexity_ratio":3513.0833333333335,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2630,"base":13},"right_expr":{"type":"numeric_atoms","value":5664,"base":13}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1133,"base":13},"right_expr":{"type":"numeric_atoms","value":6107,"base":13}}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":3753,"base":13}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1246,"base":13},"right_expr":{"type":"numeric_atoms","value":1267,"base":13}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2396,"base":13},"right_expr":{"type":"numeric_atoms","value":2385,"base":13}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1217,"base":13}}}}},"used_operators":["QMFrweE19q","FU0Cs4j7VP","Nsiff2A1zJ","DZ8iAZOCBD","mqXw5SEYmG","bJkvcejdHO","P8v4zCKN1o","mp7IySMOzn","T2fj7uvVaJ","sdazOOVcIp","srAu1WTS94"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2630","layer":4},{"info":"number node, value=5664","layer":4},{"info":"compute binary expreesion, left_input=2630, right_input=5664, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=5260","layer":3},{"info":"number node, value=1133","layer":4},{"info":"number node, value=6107","layer":4},{"info":"compute binary expreesion, left_input=1133, right_input=6107, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=24303","layer":3},{"info":"compute binary expreesion, left_input=5260, right_input=24303, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', 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=3753","layer":4},{"info":"compute unary expreesion, input=3753, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=4621","layer":3},{"info":"number node, value=1246","layer":4},{"info":"number node, value=1267","layer":4},{"info":"compute binary expreesion, left_input=1246, right_input=1267, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2534","layer":3},{"info":"compute binary expreesion, left_input=4621, right_input=2534, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1196366","layer":2},{"info":"number node, value=2396","layer":4},{"info":"number node, value=2385","layer":4},{"info":"compute binary expreesion, left_input=2396, right_input=2385, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=124","layer":3},{"info":"number node, value=1217","layer":4},{"info":"compute unary expreesion, input=1217, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-3651","layer":3},{"info":"compute binary expreesion, left_input=124, right_input=-3651, op_id = T2fj7uvVaJ binary_op_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=1196366, 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 = 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":13,"result_base":13,"text":"((⪎⋱⫍1274⊉≛↸⪎⋱⫍2769)⊴(⪎⋱⫍692⫸⊐⪎⋱⫍2A1A)↛⩡⫤)⫡⨏((∥⊫⪎⋱⫍1929)≎⊠⪸⪎⋱⫍74B⇷⪎⋱⫍766)⊴((⪎⋱⫍1124⪨≂⪎⋱⫍1116)⋓(⨵≀≌⪎⋱⫍728))=NaN","reverse_text":"NaN=((⪎⋱⫍1274⊉≛↸⪎⋱⫍2769)⊴(⪎⋱⫍692⫸⊐⪎⋱⫍2A1A)↛⩡⫤)⫡⨏((∥⊫⪎⋱⫍1929)≎⊠⪸⪎⋱⫍74B⇷⪎⋱⫍766)⊴((⪎⋱⫍1124⪨≂⪎⋱⫍1116)⋓(⨵≀≌⪎⋱⫍728))","cot":[{"info":"⪎⋱⫍1274⊉≛↸⪎⋱⫍2769=⪎⋱⫍2518","layer":3},{"info":"⪎⋱⫍692⫸⊐⪎⋱⫍2A1A=⪎⋱⫍B0A6","layer":3},{"info":"⪎⋱⫍2518⊴⪎⋱⫍B0A6=NaN","layer":2},{"info":"NaN↛⩡⫤=NaN","layer":1},{"info":"∥⊫⪎⋱⫍1929=⪎⋱⫍2146","layer":3},{"info":"⪎⋱⫍74B⇷⪎⋱⫍766=⪎⋱⫍11CC","layer":3},{"info":"⪎⋱⫍2146≎⊠⪸⪎⋱⫍11CC=⪎⋱⫍32B712","layer":2},{"info":"⪎⋱⫍1124⪨≂⪎⋱⫍1116=⪎⋱⫍97","layer":3},{"info":"⨵≀≌⪎⋱⫍728=⪎⋱⫍-187B","layer":3},{"info":"⪎⋱⫍97⋓⪎⋱⫍-187B=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍32B712⊴⪎⋱⫍0=⪎⋱⫍-61","layer":1},{"info":"NaN⫡⨏⪎⋱⫍-61=NaN","layer":0}]}
{"id":716,"expression_no_base_symbol":"∂(($7599$⨪↰⇹$1090$⨵⪆$2539$⋳⪒$2571$)⪄($6445$⊭↱$1046$/$4334$⩚⊴⇥$1451$))","expression":"∂((⪎⋱⫍35C7⨪↰⇹⪎⋱⫍65B⨵⪆⪎⋱⫍1204⋳⪒⪎⋱⫍122A)⪄(⪎⋱⫍2C1A⊭↱⪎⋱⫍626/⪎⋱⫍1C85⩚⊴⇥⪎⋱⫍878))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":8129,"operation_count":8,"complexity_ratio":1016.125,"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":7599,"base":13},"right_expr":{"type":"numeric_atoms","value":1090,"base":13}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2539,"base":13},"right_expr":{"type":"numeric_atoms","value":2571,"base":13}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":6445,"base":13},"right_expr":{"type":"numeric_atoms","value":1046,"base":13}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":4334,"base":13},"right_expr":{"type":"numeric_atoms","value":1451,"base":13}}}}},"used_operators":["Uaa54Peajs","SUmda5xLS4","2DQ55sFlQl","tmPS8pqC7x","12rbrZMWeM","XhwjNDsVaA","COABgblf1C","NTOWxs364D"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"⪎⋱⫍8B59","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=7599","layer":4},{"info":"number node, value=1090","layer":4},{"info":"compute binary expreesion, left_input=7599, right_input=1090, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=7599","layer":3},{"info":"number node, value=2539","layer":4},{"info":"number node, value=2571","layer":4},{"info":"compute binary expreesion, left_input=2539, right_input=2571, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=2220","layer":3},{"info":"compute binary expreesion, left_input=7599, right_input=2220, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=6445","layer":4},{"info":"number node, value=1046","layer":4},{"info":"compute binary expreesion, left_input=6445, right_input=1046, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-10793","layer":3},{"info":"number node, value=4334","layer":4},{"info":"number node, value=1451","layer":4},{"info":"compute binary expreesion, left_input=4334, right_input=1451, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-5906","layer":3},{"info":"compute binary expreesion, left_input=-10793, right_input=-5906, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=1, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-19773","layer":1},{"info":"compute unary expreesion, input=-19773, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=19509","layer":0}],"base":13,"result_base":13,"text":"∂((⪎⋱⫍35C7⨪↰⇹⪎⋱⫍65B⨵⪆⪎⋱⫍1204⋳⪒⪎⋱⫍122A)⪄(⪎⋱⫍2C1A⊭↱⪎⋱⫍626/⪎⋱⫍1C85⩚⊴⇥⪎⋱⫍878))=⪎⋱⫍8B59","reverse_text":"⪎⋱⫍8B59=∂((⪎⋱⫍35C7⨪↰⇹⪎⋱⫍65B⨵⪆⪎⋱⫍1204⋳⪒⪎⋱⫍122A)⪄(⪎⋱⫍2C1A⊭↱⪎⋱⫍626/⪎⋱⫍1C85⩚⊴⇥⪎⋱⫍878))","cot":[{"info":"⪎⋱⫍35C7⨪↰⇹⪎⋱⫍65B=⪎⋱⫍35C7","layer":3},{"info":"⪎⋱⫍1204⋳⪒⪎⋱⫍122A=⪎⋱⫍101A","layer":3},{"info":"⪎⋱⫍35C7⨵⪆⪎⋱⫍101A=⪎⋱⫍C4","layer":2},{"info":"⪎⋱⫍2C1A⊭↱⪎⋱⫍626=⪎⋱⫍-4BB3","layer":3},{"info":"⪎⋱⫍1C85⩚⊴⇥⪎⋱⫍878=⪎⋱⫍-28C4","layer":3},{"info":"⪎⋱⫍-4BB3/⪎⋱⫍-28C4=⪎⋱⫍1","layer":2},{"info":"⪎⋱⫍C4⪄⪎⋱⫍1=⪎⋱⫍-9000","layer":1},{"info":"∂⪎⋱⫍-9000=⪎⋱⫍8B59","layer":0}]}
{"id":717,"expression_no_base_symbol":"($1734$⩚⊴⇥$1611$↙$1446$⋓$4084$⫡⨏(⨰⫟⨤($1239$⋓$1725$)))*(⊙↵-(≤/($3701$⨁⊸⫻)))","expression":"(⪎⋱⫍A35⩚⊴⇥⪎⋱⫍96C↙⪎⋱⫍873⋓⪎⋱⫍1B22⫡⨏(⨰⫟⨤(⪎⋱⫍744⋓⪎⋱⫍A29)))*(⊙↵-(≤/(⪎⋱⫍18B9⨁⊸⫻)))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":4378,"operation_count":10,"complexity_ratio":437.8,"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":1734,"base":13},"right_expr":{"type":"numeric_atoms","value":1611,"base":13}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1446,"base":13},"right_expr":{"type":"numeric_atoms","value":4084,"base":13}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1239,"base":13},"right_expr":{"type":"numeric_atoms","value":1725,"base":13}}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":3701,"base":13}}}}},"used_operators":["9HNa5Wba9A","QMFrweE19q","yyfyN0ffXY","NTOWxs364D","T2fj7uvVaJ","Tw270M8GLb","oWn0xqSxBt","eLAdDNolq6","glklzrTFfD"],"dependent_operators":["W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z"],"result":"⪎⋱⫍22026376C","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1734","layer":4},{"info":"number node, value=1611","layer":4},{"info":"compute binary expreesion, left_input=1734, right_input=1611, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3466","layer":3},{"info":"number node, value=1446","layer":4},{"info":"number node, value=4084","layer":4},{"info":"compute binary expreesion, left_input=1446, right_input=4084, op_id = T2fj7uvVaJ binary_op_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=-3466, right_input=0, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3466","layer":2},{"info":"number node, value=1239","layer":4},{"info":"number node, value=1725","layer":4},{"info":"compute binary expreesion, left_input=1239, right_input=1725, op_id = T2fj7uvVaJ binary_op_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 = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=4492662","layer":2},{"info":"compute binary expreesion, left_input=-3466, right_input=4492662, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=8968777","layer":1},{"info":"number node, value=3701","layer":4},{"info":"compute unary expreesion, input=3701, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=3701","layer":3},{"info":"compute unary expreesion, input=3701, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-3217","layer":2},{"info":"compute unary expreesion, input=-3217, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=196","layer":1},{"info":"compute binary expreesion, left_input=8968777, right_input=196, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=1757880292","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍A35⩚⊴⇥⪎⋱⫍96C↙⪎⋱⫍873⋓⪎⋱⫍1B22⫡⨏(⨰⫟⨤(⪎⋱⫍744⋓⪎⋱⫍A29)))*(⊙↵-(≤/(⪎⋱⫍18B9⨁⊸⫻)))=⪎⋱⫍22026376C","reverse_text":"⪎⋱⫍22026376C=(⪎⋱⫍A35⩚⊴⇥⪎⋱⫍96C↙⪎⋱⫍873⋓⪎⋱⫍1B22⫡⨏(⨰⫟⨤(⪎⋱⫍744⋓⪎⋱⫍A29)))*(⊙↵-(≤/(⪎⋱⫍18B9⨁⊸⫻)))","cot":[{"info":"⪎⋱⫍A35⩚⊴⇥⪎⋱⫍96C=⪎⋱⫍-1768","layer":3},{"info":"⪎⋱⫍873⋓⪎⋱⫍1B22=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍-1768↙⪎⋱⫍0=⪎⋱⫍-1768","layer":2},{"info":"⪎⋱⫍744⋓⪎⋱⫍A29=⪎⋱⫍0","layer":3},{"info":"⨰⫟⨤⪎⋱⫍0=⪎⋱⫍C13BA5","layer":2},{"info":"⪎⋱⫍-1768⫡⨏⪎⋱⫍C13BA5=⪎⋱⫍1B2038C","layer":1},{"info":"⪎⋱⫍18B9⨁⊸⫻=⪎⋱⫍18B9","layer":3},{"info":"≤/⪎⋱⫍18B9=⪎⋱⫍-1606","layer":2},{"info":"⊙↵-⪎⋱⫍-1606=⪎⋱⫍121","layer":1},{"info":"⪎⋱⫍1B2038C*⪎⋱⫍121=⪎⋱⫍22026376C","layer":0}]}
{"id":718,"expression_no_base_symbol":"((⨵≀≌(⊙↵-$2120$))⋓(↣≠⋷($1491$⋓$1735$)))⪮%⊝($5236$⫥∨⫟$1220$⨽$5926$∑⇟⊟$2889$⨸⪁$3317$≧⫂∧$3631$≧⫂∧($3965$⊘))","expression":"((⨵≀≌(⊙↵-⪎⋱⫍C71))⋓(↣≠⋷(⪎⋱⫍8A9⋓⪎⋱⫍A36)))⪮%⊝(⪎⋱⫍24CA⫥∨⫟⪎⋱⫍72B⨽⪎⋱⫍290B∑⇟⊟⪎⋱⫍1413⨸⪁⪎⋱⫍1682≧⫂∧⪎⋱⫍1864≧⫂∧(⪎⋱⫍1A60⊘))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2399,"operation_count":13,"complexity_ratio":184.53846153846155,"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":2120,"base":13}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1491,"base":13},"right_expr":{"type":"numeric_atoms","value":1735,"base":13}}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":5236,"base":13},"right_expr":{"type":"numeric_atoms","value":1220,"base":13}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":5926,"base":13},"right_expr":{"type":"numeric_atoms","value":2889,"base":13}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":3317,"base":13},"right_expr":{"type":"numeric_atoms","value":3631,"base":13}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":3965,"base":13}}}}},"used_operators":["IWmyXbctLI","T2fj7uvVaJ","srAu1WTS94","oWn0xqSxBt","Asc51vEJeQ","g55IO6H4Gj","8HhzD0ZcuI","KYD54nUTWz","U7g4x0WXJJ","Ph9nP6C5qx","gu96TGCTMs"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","XhwjNDsVaA","AHs5Up7iyr","W4YGzv6Whe","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","8HhzD0ZcuI","rGHVDoGpnC","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2120","layer":4},{"info":"compute unary expreesion, input=2120, 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=1491","layer":4},{"info":"number node, value=1735","layer":4},{"info":"compute binary expreesion, left_input=1491, right_input=1735, op_id = T2fj7uvVaJ binary_op_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 = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1, 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=5236","layer":4},{"info":"number node, value=1220","layer":4},{"info":"compute binary expreesion, left_input=5236, right_input=1220, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=5926","layer":4},{"info":"number node, value=2889","layer":4},{"info":"compute binary expreesion, left_input=5926, right_input=2889, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":2},{"info":"number node, value=3317","layer":4},{"info":"number node, value=3631","layer":4},{"info":"compute binary expreesion, left_input=3317, right_input=3631, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=3158","layer":3},{"info":"number node, value=3965","layer":4},{"info":"compute unary expreesion, input=3965, 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=3158, right_input=0, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-473","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-473, 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 = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⨵≀≌(⊙↵-⪎⋱⫍C71))⋓(↣≠⋷(⪎⋱⫍8A9⋓⪎⋱⫍A36)))⪮%⊝(⪎⋱⫍24CA⫥∨⫟⪎⋱⫍72B⨽⪎⋱⫍290B∑⇟⊟⪎⋱⫍1413⨸⪁⪎⋱⫍1682≧⫂∧⪎⋱⫍1864≧⫂∧(⪎⋱⫍1A60⊘))=NaN","reverse_text":"NaN=((⨵≀≌(⊙↵-⪎⋱⫍C71))⋓(↣≠⋷(⪎⋱⫍8A9⋓⪎⋱⫍A36)))⪮%⊝(⪎⋱⫍24CA⫥∨⫟⪎⋱⫍72B⨽⪎⋱⫍290B∑⇟⊟⪎⋱⫍1413⨸⪁⪎⋱⫍1682≧⫂∧⪎⋱⫍1864≧⫂∧(⪎⋱⫍1A60⊘))","cot":[{"info":"⊙↵-⪎⋱⫍C71=⪎⋱⫍-1","layer":3},{"info":"⨵≀≌⪎⋱⫍-1=⪎⋱⫍1","layer":2},{"info":"⪎⋱⫍8A9⋓⪎⋱⫍A36=⪎⋱⫍0","layer":3},{"info":"↣≠⋷⪎⋱⫍0=NaN","layer":2},{"info":"⪎⋱⫍1⋓NaN=NaN","layer":1},{"info":"⪎⋱⫍24CA⫥∨⫟⪎⋱⫍72B=NaN","layer":3},{"info":"⪎⋱⫍290B∑⇟⊟⪎⋱⫍1413=NaN","layer":3},{"info":"NaN⨽NaN=NaN","layer":2},{"info":"⪎⋱⫍1682≧⫂∧⪎⋱⫍1864=⪎⋱⫍158C","layer":3},{"info":"⪎⋱⫍1A60⊘=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍158C≧⫂∧⪎⋱⫍0=⪎⋱⫍-2A5","layer":2},{"info":"NaN⨸⪁⪎⋱⫍-2A5=NaN","layer":1},{"info":"NaN⪮%⊝NaN=NaN","layer":0}]}
{"id":719,"expression_no_base_symbol":"(≉$3121$⪢$1183$≭($2137$%$4190$))⊭↱(($4960$⨓$3510$⫌⩹⨱)⨸⪁($4374$⨰$7435$+($3928$⫡⨏$3485$)))","expression":"(≉⪎⋱⫍1561⪢⪎⋱⫍700≭(⪎⋱⫍C85%⪎⋱⫍1BA4))⊭↱((⪎⋱⫍2347⨓⪎⋱⫍17A0⫌⩹⨱)⨸⪁(⪎⋱⫍1CB6⨰⪎⋱⫍34CC+(⪎⋱⫍1A32⫡⨏⪎⋱⫍1781)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":8226,"operation_count":11,"complexity_ratio":747.8181818181819,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":3121,"base":13},"right_expr":{"type":"numeric_atoms","value":1183,"base":13}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2137,"base":13},"right_expr":{"type":"numeric_atoms","value":4190,"base":13}}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":4960,"base":13},"right_expr":{"type":"numeric_atoms","value":3510,"base":13}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":4374,"base":13},"right_expr":{"type":"numeric_atoms","value":7435,"base":13}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":3928,"base":13},"right_expr":{"type":"numeric_atoms","value":3485,"base":13}}}}},"used_operators":["COABgblf1C","e1ybzncUwg","rxpJgHHUmx","dWAJyo7jo9","k8jYdgA6NY","g55IO6H4Gj","EBcxylXtPf","3ViojmjbAp","W4YGzv6Whe","eewbuw0ToL","QMFrweE19q"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3121","layer":4},{"info":"number node, value=1183","layer":4},{"info":"compute binary expreesion, left_input=3121, right_input=1183, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=2137","layer":4},{"info":"number node, value=4190","layer":4},{"info":"compute binary expreesion, left_input=2137, right_input=4190, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2137","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2137, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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":"number node, value=4960","layer":4},{"info":"number node, value=3510","layer":4},{"info":"compute binary expreesion, left_input=4960, right_input=3510, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3513","layer":3},{"info":"compute unary expreesion, input=-3513, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=-5625","layer":2},{"info":"number node, value=4374","layer":4},{"info":"number node, value=7435","layer":4},{"info":"compute binary expreesion, left_input=4374, right_input=7435, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-3051","layer":3},{"info":"number node, value=3928","layer":4},{"info":"number node, value=3485","layer":4},{"info":"compute binary expreesion, left_input=3928, right_input=3485, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=27393","layer":3},{"info":"compute binary expreesion, left_input=-3051, right_input=27393, op_id = W4YGzv6Whe binary_op_definition= 'None', output=24342","layer":2},{"info":"compute binary expreesion, left_input=-5625, right_input=24342, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=37434","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=37434, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(≉⪎⋱⫍1561⪢⪎⋱⫍700≭(⪎⋱⫍C85%⪎⋱⫍1BA4))⊭↱((⪎⋱⫍2347⨓⪎⋱⫍17A0⫌⩹⨱)⨸⪁(⪎⋱⫍1CB6⨰⪎⋱⫍34CC+(⪎⋱⫍1A32⫡⨏⪎⋱⫍1781)))=NaN","reverse_text":"NaN=(≉⪎⋱⫍1561⪢⪎⋱⫍700≭(⪎⋱⫍C85%⪎⋱⫍1BA4))⊭↱((⪎⋱⫍2347⨓⪎⋱⫍17A0⫌⩹⨱)⨸⪁(⪎⋱⫍1CB6⨰⪎⋱⫍34CC+(⪎⋱⫍1A32⫡⨏⪎⋱⫍1781)))","cot":[{"info":"⪎⋱⫍1561⪢⪎⋱⫍700=NaN","layer":3},{"info":"⪎⋱⫍C85%⪎⋱⫍1BA4=⪎⋱⫍C85","layer":3},{"info":"NaN≭⪎⋱⫍C85=NaN","layer":2},{"info":"≉NaN=NaN","layer":1},{"info":"⪎⋱⫍2347⨓⪎⋱⫍17A0=⪎⋱⫍-17A3","layer":3},{"info":"⪎⋱⫍-17A3⫌⩹⨱=⪎⋱⫍-2739","layer":2},{"info":"⪎⋱⫍1CB6⨰⪎⋱⫍34CC=⪎⋱⫍-1509","layer":3},{"info":"⪎⋱⫍1A32⫡⨏⪎⋱⫍1781=⪎⋱⫍C612","layer":3},{"info":"⪎⋱⫍-1509+⪎⋱⫍C612=⪎⋱⫍B106","layer":2},{"info":"⪎⋱⫍-2739⨸⪁⪎⋱⫍B106=⪎⋱⫍14067","layer":1},{"info":"NaN⊭↱⪎⋱⫍14067=NaN","layer":0}]}
{"id":720,"expression_no_base_symbol":"($1189$+⇶⊼$4220$⨎($4216$⨎$4923$))⪘⫢($2487$⫥∨⫟$2347$⨳⩥⨓($4548$⪒$2469$))⊭↱(≦∁($5171$⋫)⊴($7571$⫥∨⫟$1308$))","expression":"(⪎⋱⫍706+⇶⊼⪎⋱⫍1BC8⨎(⪎⋱⫍1BC4⨎⪎⋱⫍2319))⪘⫢(⪎⋱⫍1194⫥∨⫟⪎⋱⫍10B7⨳⩥⨓(⪎⋱⫍20BB⪒⪎⋱⫍117C))⊭↱(≦∁(⪎⋱⫍247A⋫)⊴(⪎⋱⫍35A5⫥∨⫟⪎⋱⫍798))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":5511,"operation_count":12,"complexity_ratio":459.25,"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":1189,"base":13},"right_expr":{"type":"numeric_atoms","value":4220,"base":13}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":4216,"base":13},"right_expr":{"type":"numeric_atoms","value":4923,"base":13}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2487,"base":13},"right_expr":{"type":"numeric_atoms","value":2347,"base":13}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":4548,"base":13},"right_expr":{"type":"numeric_atoms","value":2469,"base":13}}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":5171,"base":13}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":7571,"base":13},"right_expr":{"type":"numeric_atoms","value":1308,"base":13}}}}},"used_operators":["COABgblf1C","oacrs7FA3X","rJVOvQCfKK","TpPTUOHfaN","nCS4ZIUYfx","KYD54nUTWz","f6k1SAg4EE","9ICcGScMcE","Nsiff2A1zJ","JL8yIekQnl"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","dWAJyo7jo9","14qkJME0vr","tmPS8pqC7x"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1189","layer":4},{"info":"number node, value=4220","layer":4},{"info":"compute binary expreesion, left_input=1189, right_input=4220, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=4216","layer":4},{"info":"number node, value=4923","layer":4},{"info":"compute binary expreesion, left_input=4216, right_input=4923, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=4923","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4923, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=4923","layer":2},{"info":"number node, value=2487","layer":4},{"info":"number node, value=2347","layer":4},{"info":"compute binary expreesion, left_input=2487, right_input=2347, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=4548","layer":4},{"info":"number node, value=2469","layer":4},{"info":"compute binary expreesion, left_input=4548, right_input=2469, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-7017","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-7017, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=4923, 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=5171","layer":4},{"info":"compute unary expreesion, input=5171, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=5171","layer":3},{"info":"number node, value=7571","layer":4},{"info":"number node, value=1308","layer":4},{"info":"compute binary expreesion, left_input=7571, right_input=1308, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=5171, 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 = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍706+⇶⊼⪎⋱⫍1BC8⨎(⪎⋱⫍1BC4⨎⪎⋱⫍2319))⪘⫢(⪎⋱⫍1194⫥∨⫟⪎⋱⫍10B7⨳⩥⨓(⪎⋱⫍20BB⪒⪎⋱⫍117C))⊭↱(≦∁(⪎⋱⫍247A⋫)⊴(⪎⋱⫍35A5⫥∨⫟⪎⋱⫍798))=NaN","reverse_text":"NaN=(⪎⋱⫍706+⇶⊼⪎⋱⫍1BC8⨎(⪎⋱⫍1BC4⨎⪎⋱⫍2319))⪘⫢(⪎⋱⫍1194⫥∨⫟⪎⋱⫍10B7⨳⩥⨓(⪎⋱⫍20BB⪒⪎⋱⫍117C))⊭↱(≦∁(⪎⋱⫍247A⋫)⊴(⪎⋱⫍35A5⫥∨⫟⪎⋱⫍798))","cot":[{"info":"⪎⋱⫍706+⇶⊼⪎⋱⫍1BC8=NaN","layer":3},{"info":"⪎⋱⫍1BC4⨎⪎⋱⫍2319=⪎⋱⫍2319","layer":3},{"info":"NaN⨎⪎⋱⫍2319=⪎⋱⫍2319","layer":2},{"info":"⪎⋱⫍1194⫥∨⫟⪎⋱⫍10B7=NaN","layer":3},{"info":"⪎⋱⫍20BB⪒⪎⋱⫍117C=⪎⋱⫍-326A","layer":3},{"info":"NaN⨳⩥⨓⪎⋱⫍-326A=NaN","layer":2},{"info":"⪎⋱⫍2319⪘⫢NaN=NaN","layer":1},{"info":"⪎⋱⫍247A⋫=⪎⋱⫍247A","layer":3},{"info":"⪎⋱⫍35A5⫥∨⫟⪎⋱⫍798=NaN","layer":3},{"info":"⪎⋱⫍247A⊴NaN=NaN","layer":2},{"info":"≦∁NaN=NaN","layer":1},{"info":"NaN⊭↱NaN=NaN","layer":0}]}
{"id":721,"expression_no_base_symbol":"$1192$⩚⊴⇥$1845$⫥∨⫟(⩦⩻⨪$1138$)⨳⩥⨓($2089$⨸⪁$6565$)⩚⊴⇥($2364$≫≃)+(⫓⪴($8027$⪨≂$2076$))⪢($1079$⋥≓≎$4817$⩨($6784$⇋≉))","expression":"⪎⋱⫍709⩚⊴⇥⪎⋱⫍ABC⫥∨⫟(⩦⩻⨪⪎⋱⫍697)⨳⩥⨓(⪎⋱⫍C49⨸⪁⪎⋱⫍2CB0)⩚⊴⇥(⪎⋱⫍10CB≫≃)+(⫓⪴(⪎⋱⫍3866⪨≂⪎⋱⫍C39))⪢(⪎⋱⫍650⋥≓≎⪎⋱⫍2267⩨(⪎⋱⫍311B⇋≉))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":120092211,"operation_count":14,"complexity_ratio":8578015.07142857,"tree":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1192,"base":13},"right_expr":{"type":"numeric_atoms","value":1845,"base":13}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":1138,"base":13}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2089,"base":13},"right_expr":{"type":"numeric_atoms","value":6565,"base":13}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":2364,"base":13}}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":8027,"base":13},"right_expr":{"type":"numeric_atoms","value":2076,"base":13}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1079,"base":13},"right_expr":{"type":"numeric_atoms","value":4817,"base":13}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":6784,"base":13}}}}},"used_operators":["W4YGzv6Whe","nCS4ZIUYfx","KYD54nUTWz","NTOWxs364D","2td37pGCOC","g55IO6H4Gj","X99M06cbEe","dWAJyo7jo9","eLxqMNBOBk","sdazOOVcIp","2DlMacCsIx","Qy55tPpLXF","XIabStNQrY"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","k8jYdgA6NY","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1192","layer":4},{"info":"number node, value=1845","layer":4},{"info":"compute binary expreesion, left_input=1192, right_input=1845, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3158","layer":3},{"info":"number node, value=1138","layer":4},{"info":"compute unary expreesion, input=1138, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1138","layer":3},{"info":"compute binary expreesion, left_input=-3158, right_input=1138, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=2089","layer":4},{"info":"number node, value=6565","layer":4},{"info":"compute binary expreesion, left_input=2089, right_input=6565, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=17308","layer":3},{"info":"number node, value=2364","layer":4},{"info":"compute unary expreesion, input=2364, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=6129","layer":3},{"info":"compute binary expreesion, left_input=17308, right_input=6129, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-23558","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-23558, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":1},{"info":"number node, value=8027","layer":4},{"info":"number node, value=2076","layer":4},{"info":"compute binary expreesion, left_input=8027, right_input=2076, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=12004","layer":3},{"info":"compute unary expreesion, input=12004, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=144096016","layer":2},{"info":"number node, value=1079","layer":4},{"info":"number node, value=4817","layer":4},{"info":"compute binary expreesion, left_input=1079, right_input=4817, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=8588","layer":3},{"info":"number node, value=6784","layer":4},{"info":"compute unary expreesion, input=6784, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=13470","layer":3},{"info":"compute binary expreesion, left_input=8588, right_input=13470, 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=144096016, right_input=-3, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍709⩚⊴⇥⪎⋱⫍ABC⫥∨⫟(⩦⩻⨪⪎⋱⫍697)⨳⩥⨓(⪎⋱⫍C49⨸⪁⪎⋱⫍2CB0)⩚⊴⇥(⪎⋱⫍10CB≫≃)+(⫓⪴(⪎⋱⫍3866⪨≂⪎⋱⫍C39))⪢(⪎⋱⫍650⋥≓≎⪎⋱⫍2267⩨(⪎⋱⫍311B⇋≉))=NaN","reverse_text":"NaN=⪎⋱⫍709⩚⊴⇥⪎⋱⫍ABC⫥∨⫟(⩦⩻⨪⪎⋱⫍697)⨳⩥⨓(⪎⋱⫍C49⨸⪁⪎⋱⫍2CB0)⩚⊴⇥(⪎⋱⫍10CB≫≃)+(⫓⪴(⪎⋱⫍3866⪨≂⪎⋱⫍C39))⪢(⪎⋱⫍650⋥≓≎⪎⋱⫍2267⩨(⪎⋱⫍311B⇋≉))","cot":[{"info":"⪎⋱⫍709⩚⊴⇥⪎⋱⫍ABC=⪎⋱⫍-158C","layer":3},{"info":"⩦⩻⨪⪎⋱⫍697=⪎⋱⫍697","layer":3},{"info":"⪎⋱⫍-158C⫥∨⫟⪎⋱⫍697=NaN","layer":2},{"info":"⪎⋱⫍C49⨸⪁⪎⋱⫍2CB0=⪎⋱⫍7B55","layer":3},{"info":"⪎⋱⫍10CB≫≃=⪎⋱⫍2A36","layer":3},{"info":"⪎⋱⫍7B55⩚⊴⇥⪎⋱⫍2A36=⪎⋱⫍-A952","layer":2},{"info":"NaN⨳⩥⨓⪎⋱⫍-A952=NaN","layer":1},{"info":"⪎⋱⫍3866⪨≂⪎⋱⫍C39=⪎⋱⫍5605","layer":3},{"info":"⫓⪴⪎⋱⫍5605=⪎⋱⫍23B1281C","layer":2},{"info":"⪎⋱⫍650⋥≓≎⪎⋱⫍2267=⪎⋱⫍3BA8","layer":3},{"info":"⪎⋱⫍311B⇋≉=⪎⋱⫍6192","layer":3},{"info":"⪎⋱⫍3BA8⩨⪎⋱⫍6192=⪎⋱⫍-3","layer":2},{"info":"⪎⋱⫍23B1281C⪢⪎⋱⫍-3=NaN","layer":1},{"info":"NaN+NaN=NaN","layer":0}]}
{"id":722,"expression_no_base_symbol":"(($2594$∀⇚≩$1862$)⪘⫢$7969$⪮%⊝$2529$⋥≓≎($4923$⪠⩆⊳)⋳⪒($5248$+$1627$))≎⊠⪸((⇁⨣⪵$7052$)+⇶⊼$1214$∼$1194$⊭∹↮)","expression":"((⪎⋱⫍1247∀⇚≩⪎⋱⫍B03)⪘⫢⪎⋱⫍3820⪮%⊝⪎⋱⫍11C7⋥≓≎(⪎⋱⫍2319⪠⩆⊳)⋳⪒(⪎⋱⫍2509+⪎⋱⫍982))≎⊠⪸((⇁⨣⪵⪎⋱⫍3296)+⇶⊼⪎⋱⫍725∼⪎⋱⫍70B⊭∹↮)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":18236,"operation_count":12,"complexity_ratio":1519.6666666666667,"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":2594,"base":13},"right_expr":{"type":"numeric_atoms","value":1862,"base":13}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":7969,"base":13},"right_expr":{"type":"numeric_atoms","value":2529,"base":13}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":4923,"base":13}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":5248,"base":13},"right_expr":{"type":"numeric_atoms","value":1627,"base":13}}}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":7052,"base":13}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1214,"base":13},"right_expr":{"type":"numeric_atoms","value":1194,"base":13}}}}},"used_operators":["bJkvcejdHO","Qy55tPpLXF","oacrs7FA3X","LRNGc0VcxI","IWmyXbctLI","12rbrZMWeM","JLbD19bQDL","W4YGzv6Whe","xNBdhnnwKq","TpPTUOHfaN","inkyxCbjAn","DyGG3AbaNP"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","X99M06cbEe","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","AHs5Up7iyr","B5M0gjZbta","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"⪎⋱⫍52","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2594","layer":4},{"info":"number node, value=1862","layer":4},{"info":"compute binary expreesion, left_input=2594, right_input=1862, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=7969","layer":4},{"info":"number node, value=2529","layer":4},{"info":"compute binary expreesion, left_input=7969, right_input=2529, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=16254","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=16254, 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=4923","layer":4},{"info":"compute unary expreesion, input=4923, 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=5248","layer":4},{"info":"number node, value=1627","layer":4},{"info":"compute binary expreesion, left_input=5248, right_input=1627, op_id = W4YGzv6Whe binary_op_definition= 'None', output=6875","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=6875, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-7162","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-7162, 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=7052","layer":4},{"info":"compute unary expreesion, input=7052, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=1214","layer":4},{"info":"number node, value=1194","layer":4},{"info":"compute binary expreesion, left_input=1214, right_input=1194, 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 = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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 = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', 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":13,"result_base":13,"text":"((⪎⋱⫍1247∀⇚≩⪎⋱⫍B03)⪘⫢⪎⋱⫍3820⪮%⊝⪎⋱⫍11C7⋥≓≎(⪎⋱⫍2319⪠⩆⊳)⋳⪒(⪎⋱⫍2509+⪎⋱⫍982))≎⊠⪸((⇁⨣⪵⪎⋱⫍3296)+⇶⊼⪎⋱⫍725∼⪎⋱⫍70B⊭∹↮)=⪎⋱⫍52","reverse_text":"⪎⋱⫍52=((⪎⋱⫍1247∀⇚≩⪎⋱⫍B03)⪘⫢⪎⋱⫍3820⪮%⊝⪎⋱⫍11C7⋥≓≎(⪎⋱⫍2319⪠⩆⊳)⋳⪒(⪎⋱⫍2509+⪎⋱⫍982))≎⊠⪸((⇁⨣⪵⪎⋱⫍3296)+⇶⊼⪎⋱⫍725∼⪎⋱⫍70B⊭∹↮)","cot":[{"info":"⪎⋱⫍1247∀⇚≩⪎⋱⫍B03=NaN","layer":3},{"info":"⪎⋱⫍3820⪮%⊝⪎⋱⫍11C7=⪎⋱⫍7524","layer":3},{"info":"NaN⪘⫢⪎⋱⫍7524=NaN","layer":2},{"info":"⪎⋱⫍2319⪠⩆⊳=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍2509+⪎⋱⫍982=⪎⋱⫍318B","layer":3},{"info":"⪎⋱⫍0⋳⪒⪎⋱⫍318B=⪎⋱⫍-334C","layer":2},{"info":"NaN⋥≓≎⪎⋱⫍-334C=⪎⋱⫍52","layer":1},{"info":"⇁⨣⪵⪎⋱⫍3296=NaN","layer":3},{"info":"⪎⋱⫍725∼⪎⋱⫍70B=NaN","layer":3},{"info":"NaN+⇶⊼NaN=NaN","layer":2},{"info":"NaN⊭∹↮=NaN","layer":1},{"info":"⪎⋱⫍52≎⊠⪸NaN=⪎⋱⫍52","layer":0}]}
{"id":723,"expression_no_base_symbol":"(($2250$⊭↱$8410$)⫥∨⫟($1302$⊭∹↮)↙($2298$+⇶⊼$2462$)⋝⋈⪟($3721$⫸⊐$4151$))⨎(∥⊫($1889$↬$8168$⊠≄⫣))","expression":"((⪎⋱⫍1041⊭↱⪎⋱⫍3A9C)⫥∨⫟(⪎⋱⫍792⊭∹↮)↙(⪎⋱⫍107A+⇶⊼⪎⋱⫍1175)⋝⋈⪟(⪎⋱⫍1903⫸⊐⪎⋱⫍1B74))⨎(∥⊫(⪎⋱⫍B24↬⪎⋱⫍3944⊠≄⫣))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":203,"operation_count":11,"complexity_ratio":18.454545454545453,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":2250,"base":13},"right_expr":{"type":"numeric_atoms","value":8410,"base":13}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":1302,"base":13}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2298,"base":13},"right_expr":{"type":"numeric_atoms","value":2462,"base":13}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":3721,"base":13},"right_expr":{"type":"numeric_atoms","value":4151,"base":13}}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1889,"base":13},"right_expr":{"type":"numeric_atoms","value":8168,"base":13}}}}},"used_operators":["rJVOvQCfKK","yyfyN0ffXY","KYD54nUTWz","COABgblf1C","xNBdhnnwKq","2DDjHMKMc0","TpPTUOHfaN","mqXw5SEYmG","P8v4zCKN1o","DIvbN7qnHd","B5M0gjZbta"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","tmPS8pqC7x","DpFCA1CohY","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2250","layer":4},{"info":"number node, value=8410","layer":4},{"info":"compute binary expreesion, left_input=2250, right_input=8410, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=12325","layer":3},{"info":"number node, value=1302","layer":4},{"info":"compute unary expreesion, input=1302, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=2604","layer":3},{"info":"compute binary expreesion, left_input=12325, right_input=2604, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=2298","layer":4},{"info":"number node, value=2462","layer":4},{"info":"compute binary expreesion, left_input=2298, right_input=2462, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=3721","layer":4},{"info":"number node, value=4151","layer":4},{"info":"compute binary expreesion, left_input=3721, right_input=4151, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=16479","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=16479, 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 = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":1},{"info":"number node, value=1889","layer":4},{"info":"number node, value=8168","layer":4},{"info":"compute binary expreesion, left_input=1889, right_input=8168, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 unary expreesion, input=nan, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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":13,"result_base":13,"text":"((⪎⋱⫍1041⊭↱⪎⋱⫍3A9C)⫥∨⫟(⪎⋱⫍792⊭∹↮)↙(⪎⋱⫍107A+⇶⊼⪎⋱⫍1175)⋝⋈⪟(⪎⋱⫍1903⫸⊐⪎⋱⫍1B74))⨎(∥⊫(⪎⋱⫍B24↬⪎⋱⫍3944⊠≄⫣))=NaN","reverse_text":"NaN=((⪎⋱⫍1041⊭↱⪎⋱⫍3A9C)⫥∨⫟(⪎⋱⫍792⊭∹↮)↙(⪎⋱⫍107A+⇶⊼⪎⋱⫍1175)⋝⋈⪟(⪎⋱⫍1903⫸⊐⪎⋱⫍1B74))⨎(∥⊫(⪎⋱⫍B24↬⪎⋱⫍3944⊠≄⫣))","cot":[{"info":"⪎⋱⫍1041⊭↱⪎⋱⫍3A9C=⪎⋱⫍57C1","layer":3},{"info":"⪎⋱⫍792⊭∹↮=⪎⋱⫍1254","layer":3},{"info":"⪎⋱⫍57C1⫥∨⫟⪎⋱⫍1254=NaN","layer":2},{"info":"⪎⋱⫍107A+⇶⊼⪎⋱⫍1175=NaN","layer":3},{"info":"⪎⋱⫍1903⫸⊐⪎⋱⫍1B74=⪎⋱⫍7668","layer":3},{"info":"NaN⋝⋈⪟⪎⋱⫍7668=NaN","layer":2},{"info":"NaN↙NaN=NaN","layer":1},{"info":"⪎⋱⫍B24↬⪎⋱⫍3944=NaN","layer":3},{"info":"NaN⊠≄⫣=NaN","layer":2},{"info":"∥⊫NaN=NaN","layer":1},{"info":"NaN⨎NaN=NaN","layer":0}]}
{"id":724,"expression_no_base_symbol":"((⨰⫟⨤$4805$)≹⇙⪍($1123$⨽$6655$)⩤)%(($3997$≦≮≮)≭($1934$⪒$5225$))⨰($3907$+⇶⊼$6780$)⪘⫢(⫛⫱⨽$4223$)","expression":"((⨰⫟⨤⪎⋱⫍2258)≹⇙⪍(⪎⋱⫍685⨽⪎⋱⫍304C)⩤)%((⪎⋱⫍1A86≦≮≮)≭(⪎⋱⫍B5A⪒⪎⋱⫍24BC))⨰(⪎⋱⫍1A17+⇶⊼⪎⋱⫍3117)⪘⫢(⫛⫱⨽⪎⋱⫍1BCB)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":20960,"operation_count":12,"complexity_ratio":1746.6666666666667,"tree":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":4805,"base":13}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1123,"base":13},"right_expr":{"type":"numeric_atoms","value":6655,"base":13}}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":3997,"base":13}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1934,"base":13},"right_expr":{"type":"numeric_atoms","value":5225,"base":13}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":3907,"base":13},"right_expr":{"type":"numeric_atoms","value":6780,"base":13}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":4223,"base":13}}}}},"used_operators":["k8jYdgA6NY","Z2TMIBDE3Q","AHs5Up7iyr","Tw270M8GLb","8HhzD0ZcuI","eewbuw0ToL","rxpJgHHUmx","D4vGDi5EA2","f6k1SAg4EE","oacrs7FA3X","TpPTUOHfaN","DlLNRPXxWL"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","AHs5Up7iyr","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4805","layer":4},{"info":"compute unary expreesion, input=4805, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=1123","layer":4},{"info":"number node, value=6655","layer":4},{"info":"compute binary expreesion, left_input=1123, right_input=6655, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-3802038","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3802038, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=nan","layer":1},{"info":"number node, value=3997","layer":4},{"info":"compute unary expreesion, input=3997, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-11991","layer":3},{"info":"number node, value=1934","layer":4},{"info":"number node, value=5225","layer":4},{"info":"compute binary expreesion, left_input=1934, right_input=5225, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-7159","layer":3},{"info":"compute binary expreesion, left_input=-11991, right_input=-7159, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=3907","layer":4},{"info":"number node, value=6780","layer":4},{"info":"compute binary expreesion, left_input=3907, right_input=6780, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=4223","layer":4},{"info":"compute unary expreesion, input=4223, 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 = 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 = 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 = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⨰⫟⨤⪎⋱⫍2258)≹⇙⪍(⪎⋱⫍685⨽⪎⋱⫍304C)⩤)%((⪎⋱⫍1A86≦≮≮)≭(⪎⋱⫍B5A⪒⪎⋱⫍24BC))⨰(⪎⋱⫍1A17+⇶⊼⪎⋱⫍3117)⪘⫢(⫛⫱⨽⪎⋱⫍1BCB)=NaN","reverse_text":"NaN=((⨰⫟⨤⪎⋱⫍2258)≹⇙⪍(⪎⋱⫍685⨽⪎⋱⫍304C)⩤)%((⪎⋱⫍1A86≦≮≮)≭(⪎⋱⫍B5A⪒⪎⋱⫍24BC))⨰(⪎⋱⫍1A17+⇶⊼⪎⋱⫍3117)⪘⫢(⫛⫱⨽⪎⋱⫍1BCB)","cot":[{"info":"⨰⫟⨤⪎⋱⫍2258=NaN","layer":3},{"info":"⪎⋱⫍685⨽⪎⋱⫍304C=⪎⋱⫍-A31736","layer":3},{"info":"NaN≹⇙⪍⪎⋱⫍-A31736=NaN","layer":2},{"info":"NaN⩤=NaN","layer":1},{"info":"⪎⋱⫍1A86≦≮≮=⪎⋱⫍-55C5","layer":3},{"info":"⪎⋱⫍B5A⪒⪎⋱⫍24BC=⪎⋱⫍-3349","layer":3},{"info":"⪎⋱⫍-55C5≭⪎⋱⫍-3349=NaN","layer":2},{"info":"⪎⋱⫍1A17+⇶⊼⪎⋱⫍3117=NaN","layer":3},{"info":"⫛⫱⨽⪎⋱⫍1BCB=⪎⋱⫍0","layer":3},{"info":"NaN⪘⫢⪎⋱⫍0=NaN","layer":2},{"info":"NaN⨰NaN=NaN","layer":1},{"info":"NaN%NaN=NaN","layer":0}]}
{"id":725,"expression_no_base_symbol":"(↣≠⋷(⇁⨣⪵($2280$⪨≂$2158$)))⊦⊿","expression":"(↣≠⋷(⇁⨣⪵(⪎⋱⫍1065⪨≂⪎⋱⫍CA0)))⊦⊿","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":15,"operation_count":4,"complexity_ratio":3.75,"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":2280,"base":13},"right_expr":{"type":"numeric_atoms","value":2158,"base":13}}}}},"used_operators":["14qkJME0vr","Asc51vEJeQ","inkyxCbjAn","sdazOOVcIp"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","B5M0gjZbta","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2280","layer":4},{"info":"number node, value=2158","layer":4},{"info":"compute binary expreesion, left_input=2280, right_input=2158, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=346","layer":3},{"info":"compute unary expreesion, input=346, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(↣≠⋷(⇁⨣⪵(⪎⋱⫍1065⪨≂⪎⋱⫍CA0)))⊦⊿=NaN","reverse_text":"NaN=(↣≠⋷(⇁⨣⪵(⪎⋱⫍1065⪨≂⪎⋱⫍CA0)))⊦⊿","cot":[{"info":"⪎⋱⫍1065⪨≂⪎⋱⫍CA0=⪎⋱⫍208","layer":3},{"info":"⇁⨣⪵⪎⋱⫍208=NaN","layer":2},{"info":"↣≠⋷NaN=NaN","layer":1},{"info":"NaN⊦⊿=NaN","layer":0}]}
{"id":726,"expression_no_base_symbol":"($4142$⨐⩸⫘$2470$-$1041$⪮%⊝$1641$)⨽(↩(⨵≀≌$8624$))⫸⊐($5481$⊭↱$3057$⪒$4454$∼$2885$)∑⇟⊟(($3982$⪨≂$1764$)⫸⊐$3429$∼$3022$)","expression":"(⪎⋱⫍1B68⨐⩸⫘⪎⋱⫍1180-⪎⋱⫍621⪮%⊝⪎⋱⫍993)⨽(↩(⨵≀≌⪎⋱⫍3C05))⫸⊐(⪎⋱⫍2658⊭↱⪎⋱⫍1512⪒⪎⋱⫍2048∼⪎⋱⫍140C)∑⇟⊟((⪎⋱⫍1A74⪨≂⪎⋱⫍A59)⫸⊐⪎⋱⫍173A∼⪎⋱⫍14B6)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":243,"operation_count":14,"complexity_ratio":17.357142857142858,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":4142,"base":13},"right_expr":{"type":"numeric_atoms","value":2470,"base":13}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1041,"base":13},"right_expr":{"type":"numeric_atoms","value":1641,"base":13}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":8624,"base":13}}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":5481,"base":13},"right_expr":{"type":"numeric_atoms","value":3057,"base":13}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":4454,"base":13},"right_expr":{"type":"numeric_atoms","value":2885,"base":13}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":3982,"base":13},"right_expr":{"type":"numeric_atoms","value":1764,"base":13}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":3429,"base":13},"right_expr":{"type":"numeric_atoms","value":3022,"base":13}}}}},"used_operators":["mqXw5SEYmG","8HhzD0ZcuI","rysDP5nf3Z","fu6greOZ01","IWmyXbctLI","jLgFTUHLKL","srAu1WTS94","U7g4x0WXJJ","f6k1SAg4EE","COABgblf1C","DyGG3AbaNP","sdazOOVcIp"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","3ViojmjbAp","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4142","layer":4},{"info":"number node, value=2470","layer":4},{"info":"compute binary expreesion, left_input=4142, right_input=2470, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=1041","layer":4},{"info":"number node, value=1641","layer":4},{"info":"compute binary expreesion, left_input=1041, right_input=1641, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=2398","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2398, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=8624","layer":4},{"info":"compute unary expreesion, input=8624, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-25872","layer":3},{"info":"compute unary expreesion, input=-25872, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=106108","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=106108, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":1},{"info":"number node, value=5481","layer":4},{"info":"number node, value=3057","layer":4},{"info":"compute binary expreesion, left_input=5481, right_input=3057, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-4843","layer":3},{"info":"number node, value=4454","layer":4},{"info":"number node, value=2885","layer":4},{"info":"compute binary expreesion, left_input=4454, right_input=2885, 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=-4843, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":2},{"info":"number node, value=3982","layer":4},{"info":"number node, value=1764","layer":4},{"info":"compute binary expreesion, left_input=3982, right_input=1764, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=4538","layer":3},{"info":"number node, value=3429","layer":4},{"info":"number node, value=3022","layer":4},{"info":"compute binary expreesion, left_input=3429, right_input=3022, 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=4538, right_input=nan, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=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 = 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":13,"result_base":13,"text":"(⪎⋱⫍1B68⨐⩸⫘⪎⋱⫍1180-⪎⋱⫍621⪮%⊝⪎⋱⫍993)⨽(↩(⨵≀≌⪎⋱⫍3C05))⫸⊐(⪎⋱⫍2658⊭↱⪎⋱⫍1512⪒⪎⋱⫍2048∼⪎⋱⫍140C)∑⇟⊟((⪎⋱⫍1A74⪨≂⪎⋱⫍A59)⫸⊐⪎⋱⫍173A∼⪎⋱⫍14B6)=NaN","reverse_text":"NaN=(⪎⋱⫍1B68⨐⩸⫘⪎⋱⫍1180-⪎⋱⫍621⪮%⊝⪎⋱⫍993)⨽(↩(⨵≀≌⪎⋱⫍3C05))⫸⊐(⪎⋱⫍2658⊭↱⪎⋱⫍1512⪒⪎⋱⫍2048∼⪎⋱⫍140C)∑⇟⊟((⪎⋱⫍1A74⪨≂⪎⋱⫍A59)⫸⊐⪎⋱⫍173A∼⪎⋱⫍14B6)","cot":[{"info":"⪎⋱⫍1B68⨐⩸⫘⪎⋱⫍1180=NaN","layer":3},{"info":"⪎⋱⫍621⪮%⊝⪎⋱⫍993=⪎⋱⫍1126","layer":3},{"info":"NaN-⪎⋱⫍1126=NaN","layer":2},{"info":"⨵≀≌⪎⋱⫍3C05=⪎⋱⫍-BA12","layer":3},{"info":"↩⪎⋱⫍-BA12=⪎⋱⫍393B2","layer":2},{"info":"NaN⨽⪎⋱⫍393B2=NaN","layer":1},{"info":"⪎⋱⫍2658⊭↱⪎⋱⫍1512=⪎⋱⫍-2287","layer":3},{"info":"⪎⋱⫍2048∼⪎⋱⫍140C=NaN","layer":3},{"info":"⪎⋱⫍-2287⪒NaN=NaN","layer":2},{"info":"⪎⋱⫍1A74⪨≂⪎⋱⫍A59=⪎⋱⫍20B1","layer":3},{"info":"⪎⋱⫍173A∼⪎⋱⫍14B6=NaN","layer":3},{"info":"⪎⋱⫍20B1⫸⊐NaN=NaN","layer":2},{"info":"NaN∑⇟⊟NaN=NaN","layer":1},{"info":"NaN⫸⊐NaN=NaN","layer":0}]}
{"id":727,"expression_no_base_symbol":"(⨑⩽⪐(⫓⪴$1689$)≎⊠⪸$4083$⪘⫢$1389$)∑⇟⊟((⨑⩽⪐(⫓⪴$4819$))⨳⩥⨓(($1137$*$3430$)⫸⊐(↽≂$4116$)))","expression":"(⨑⩽⪐(⫓⪴⪎⋱⫍9CC)≎⊠⪸⪎⋱⫍1B21⪘⫢⪎⋱⫍82B)∑⇟⊟((⨑⩽⪐(⫓⪴⪎⋱⫍2269))⨳⩥⨓((⪎⋱⫍696*⪎⋱⫍173B)⫸⊐(↽≂⪎⋱⫍1B48)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":7967,"operation_count":11,"complexity_ratio":724.2727272727273,"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":1689,"base":13}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":4083,"base":13},"right_expr":{"type":"numeric_atoms","value":1389,"base":13}}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":4819,"base":13}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1137,"base":13},"right_expr":{"type":"numeric_atoms","value":3430,"base":13}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":4116,"base":13}}}}},"used_operators":["U7g4x0WXJJ","AF7qkfDlqP","bJkvcejdHO","eLxqMNBOBk","oacrs7FA3X","nCS4ZIUYfx","mqXw5SEYmG","9HNa5Wba9A","u6S6b8DprG"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","9HNa5Wba9A","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1689","layer":4},{"info":"compute unary expreesion, input=1689, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=2852721","layer":3},{"info":"number node, value=4083","layer":4},{"info":"number node, value=1389","layer":4},{"info":"compute binary expreesion, left_input=4083, right_input=1389, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=8042","layer":3},{"info":"compute binary expreesion, left_input=2852721, right_input=8042, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=738854266","layer":2},{"info":"compute unary expreesion, input=738854266, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-738853993","layer":1},{"info":"number node, value=4819","layer":4},{"info":"compute unary expreesion, input=4819, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=23222761","layer":3},{"info":"compute unary expreesion, input=23222761, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-23222488","layer":2},{"info":"number node, value=1137","layer":4},{"info":"number node, value=3430","layer":4},{"info":"compute binary expreesion, left_input=1137, right_input=3430, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=3899910","layer":3},{"info":"number node, value=4116","layer":4},{"info":"compute unary expreesion, input=4116, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-8232","layer":3},{"info":"compute binary expreesion, left_input=3899910, right_input=-8232, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=-16593","layer":2},{"info":"compute binary expreesion, left_input=-23222488, right_input=-16593, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=23205895","layer":1},{"info":"compute binary expreesion, left_input=-738853993, right_input=23205895, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⨑⩽⪐(⫓⪴⪎⋱⫍9CC)≎⊠⪸⪎⋱⫍1B21⪘⫢⪎⋱⫍82B)∑⇟⊟((⨑⩽⪐(⫓⪴⪎⋱⫍2269))⨳⩥⨓((⪎⋱⫍696*⪎⋱⫍173B)⫸⊐(↽≂⪎⋱⫍1B48)))=NaN","reverse_text":"NaN=(⨑⩽⪐(⫓⪴⪎⋱⫍9CC)≎⊠⪸⪎⋱⫍1B21⪘⫢⪎⋱⫍82B)∑⇟⊟((⨑⩽⪐(⫓⪴⪎⋱⫍2269))⨳⩥⨓((⪎⋱⫍696*⪎⋱⫍173B)⫸⊐(↽≂⪎⋱⫍1B48)))","cot":[{"info":"⫓⪴⪎⋱⫍9CC=⪎⋱⫍78B601","layer":3},{"info":"⪎⋱⫍1B21⪘⫢⪎⋱⫍82B=⪎⋱⫍3878","layer":3},{"info":"⪎⋱⫍78B601≎⊠⪸⪎⋱⫍3878=⪎⋱⫍BA0C4597","layer":2},{"info":"⨑⩽⪐⪎⋱⫍BA0C4597=⪎⋱⫍-BA0C4417","layer":1},{"info":"⫓⪴⪎⋱⫍2269=⪎⋱⫍4A712A3","layer":3},{"info":"⨑⩽⪐⪎⋱⫍4A712A3=⪎⋱⫍-4A71123","layer":2},{"info":"⪎⋱⫍696*⪎⋱⫍173B=⪎⋱⫍A67151","layer":3},{"info":"↽≂⪎⋱⫍1B48=⪎⋱⫍-3993","layer":3},{"info":"⪎⋱⫍A67151⫸⊐⪎⋱⫍-3993=⪎⋱⫍-7725","layer":2},{"info":"⪎⋱⫍-4A71123⨳⩥⨓⪎⋱⫍-7725=⪎⋱⫍4A666CB","layer":1},{"info":"⪎⋱⫍-BA0C4417∑⇟⊟⪎⋱⫍4A666CB=NaN","layer":0}]}
{"id":728,"expression_no_base_symbol":"⊄⩳↩((≦∁$1630$)⪘⫢($1618$⨰$3430$))↬($1736$⊠≄⫣)↬$7450$⪛$1001$","expression":"⊄⩳↩((≦∁⪎⋱⫍985)⪘⫢(⪎⋱⫍976⨰⪎⋱⫍173B))↬(⪎⋱⫍A37⊠≄⫣)↬⪎⋱⫍3511⪛⪎⋱⫍5C0","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":34,"operation_count":8,"complexity_ratio":4.25,"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":1630,"base":13}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1618,"base":13},"right_expr":{"type":"numeric_atoms","value":3430,"base":13}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":1736,"base":13}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":7450,"base":13},"right_expr":{"type":"numeric_atoms","value":1001,"base":13}}}}},"used_operators":["8w2t5hMYqp","B5M0gjZbta","oacrs7FA3X","9ICcGScMcE","eewbuw0ToL","DIvbN7qnHd","uFcxV4UQCh"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"⪎⋱⫍-7B3","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1630","layer":4},{"info":"compute unary expreesion, input=1630, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1630","layer":3},{"info":"number node, value=1618","layer":4},{"info":"number node, value=3430","layer":4},{"info":"compute binary expreesion, left_input=1618, right_input=3430, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-1802","layer":3},{"info":"compute binary expreesion, left_input=1630, right_input=-1802, 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=1736","layer":4},{"info":"compute unary expreesion, input=1736, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"number node, value=7450","layer":4},{"info":"number node, value=1001","layer":4},{"info":"compute binary expreesion, left_input=7450, right_input=1001, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=443","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=443, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=443","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=443, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=443","layer":1},{"info":"compute unary expreesion, input=443, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-1329","layer":0}],"base":13,"result_base":13,"text":"⊄⩳↩((≦∁⪎⋱⫍985)⪘⫢(⪎⋱⫍976⨰⪎⋱⫍173B))↬(⪎⋱⫍A37⊠≄⫣)↬⪎⋱⫍3511⪛⪎⋱⫍5C0=⪎⋱⫍-7B3","reverse_text":"⪎⋱⫍-7B3=⊄⩳↩((≦∁⪎⋱⫍985)⪘⫢(⪎⋱⫍976⨰⪎⋱⫍173B))↬(⪎⋱⫍A37⊠≄⫣)↬⪎⋱⫍3511⪛⪎⋱⫍5C0","cot":[{"info":"≦∁⪎⋱⫍985=⪎⋱⫍985","layer":3},{"info":"⪎⋱⫍976⨰⪎⋱⫍173B=⪎⋱⫍-A88","layer":3},{"info":"⪎⋱⫍985⪘⫢⪎⋱⫍-A88=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍A37⊠≄⫣=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍3511⪛⪎⋱⫍5C0=⪎⋱⫍281","layer":3},{"info":"⪎⋱⫍0↬⪎⋱⫍281=⪎⋱⫍281","layer":2},{"info":"⪎⋱⫍0↬⪎⋱⫍281=⪎⋱⫍281","layer":1},{"info":"⊄⩳↩⪎⋱⫍281=⪎⋱⫍-7B3","layer":0}]}
{"id":729,"expression_no_base_symbol":"$4305$⪢$7995$≧⫂∧($1088$⋝⋈⪟$4460$)⨎(($1193$≦≮≮)↛⩡⫤)⊭↱((≤/$4853$)≭($2136$*$5686$)⋷(⊙↵-($1519$↛⩡⫤)))","expression":"⪎⋱⫍1C62⪢⪎⋱⫍3840≧⫂∧(⪎⋱⫍659⋝⋈⪟⪎⋱⫍2051)⨎((⪎⋱⫍70A≦≮≮)↛⩡⫤)⊭↱((≤/⪎⋱⫍2294)≭(⪎⋱⫍C84*⪎⋱⫍2785)⋷(⊙↵-(⪎⋱⫍8CB↛⩡⫤)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":251182,"operation_count":13,"complexity_ratio":19321.69230769231,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":4305,"base":13},"right_expr":{"type":"numeric_atoms","value":7995,"base":13}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1088,"base":13},"right_expr":{"type":"numeric_atoms","value":4460,"base":13}}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":1193,"base":13}}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":4853,"base":13}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2136,"base":13},"right_expr":{"type":"numeric_atoms","value":5686,"base":13}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":1519,"base":13}}}}},"used_operators":["COABgblf1C","rJVOvQCfKK","Ph9nP6C5qx","dWAJyo7jo9","2DDjHMKMc0","FU0Cs4j7VP","D4vGDi5EA2","23Mk6UjR3U","rxpJgHHUmx","eLAdDNolq6","9HNa5Wba9A","oWn0xqSxBt"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4305","layer":4},{"info":"number node, value=7995","layer":4},{"info":"compute binary expreesion, left_input=4305, right_input=7995, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=1088","layer":4},{"info":"number node, value=4460","layer":4},{"info":"compute binary expreesion, left_input=1088, right_input=4460, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1088","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1088, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=615","layer":2},{"info":"number node, value=1193","layer":4},{"info":"compute unary expreesion, input=1193, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-3579","layer":3},{"info":"compute unary expreesion, input=-3579, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-507886","layer":2},{"info":"compute binary expreesion, left_input=615, right_input=-507886, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-507886","layer":1},{"info":"number node, value=4853","layer":4},{"info":"compute unary expreesion, input=4853, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-4369","layer":3},{"info":"number node, value=2136","layer":4},{"info":"number node, value=5686","layer":4},{"info":"compute binary expreesion, left_input=2136, right_input=5686, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=12145296","layer":3},{"info":"compute binary expreesion, left_input=-4369, right_input=12145296, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=1519","layer":4},{"info":"compute unary expreesion, input=1519, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-225458","layer":3},{"info":"compute unary expreesion, input=-225458, 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 = 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=-507886, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍1C62⪢⪎⋱⫍3840≧⫂∧(⪎⋱⫍659⋝⋈⪟⪎⋱⫍2051)⨎((⪎⋱⫍70A≦≮≮)↛⩡⫤)⊭↱((≤/⪎⋱⫍2294)≭(⪎⋱⫍C84*⪎⋱⫍2785)⋷(⊙↵-(⪎⋱⫍8CB↛⩡⫤)))=NaN","reverse_text":"NaN=⪎⋱⫍1C62⪢⪎⋱⫍3840≧⫂∧(⪎⋱⫍659⋝⋈⪟⪎⋱⫍2051)⨎((⪎⋱⫍70A≦≮≮)↛⩡⫤)⊭↱((≤/⪎⋱⫍2294)≭(⪎⋱⫍C84*⪎⋱⫍2785)⋷(⊙↵-(⪎⋱⫍8CB↛⩡⫤)))","cot":[{"info":"⪎⋱⫍1C62⪢⪎⋱⫍3840=NaN","layer":3},{"info":"⪎⋱⫍659⋝⋈⪟⪎⋱⫍2051=⪎⋱⫍659","layer":3},{"info":"NaN≧⫂∧⪎⋱⫍659=⪎⋱⫍384","layer":2},{"info":"⪎⋱⫍70A≦≮≮=⪎⋱⫍-1824","layer":3},{"info":"⪎⋱⫍-1824↛⩡⫤=⪎⋱⫍-14A232","layer":2},{"info":"⪎⋱⫍384⨎⪎⋱⫍-14A232=⪎⋱⫍-14A232","layer":1},{"info":"≤/⪎⋱⫍2294=⪎⋱⫍-1CB1","layer":3},{"info":"⪎⋱⫍C84*⪎⋱⫍2785=⪎⋱⫍2693187","layer":3},{"info":"⪎⋱⫍-1CB1≭⪎⋱⫍2693187=NaN","layer":2},{"info":"⪎⋱⫍8CB↛⩡⫤=⪎⋱⫍-7B80C","layer":3},{"info":"⊙↵-⪎⋱⫍-7B80C=⪎⋱⫍121","layer":2},{"info":"NaN⋷⪎⋱⫍121=NaN","layer":1},{"info":"⪎⋱⫍-14A232⊭↱NaN=NaN","layer":0}]}
{"id":730,"expression_no_base_symbol":"(($3478$⫸⊐$6362$⊉≛↸(⨵≀≌$3744$))⫸⊐(↥($2669$%$3886$)))⨟⋌⩍(($3181$/$2300$)⪮%⊝($1816$⨐⩸⫘$5773$)≋⫹)","expression":"((⪎⋱⫍1777⫸⊐⪎⋱⫍2B85⊉≛↸(⨵≀≌⪎⋱⫍1920))⫸⊐(↥(⪎⋱⫍12A4%⪎⋱⫍19CC)))⨟⋌⩍((⪎⋱⫍15A9/⪎⋱⫍107C)⪮%⊝(⪎⋱⫍A99⨐⩸⫘⪎⋱⫍2821)≋⫹)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":121,"operation_count":11,"complexity_ratio":11.0,"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":3478,"base":13},"right_expr":{"type":"numeric_atoms","value":6362,"base":13}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":3744,"base":13}}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2669,"base":13},"right_expr":{"type":"numeric_atoms","value":3886,"base":13}}}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":3181,"base":13},"right_expr":{"type":"numeric_atoms","value":2300,"base":13}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1816,"base":13},"right_expr":{"type":"numeric_atoms","value":5773,"base":13}}}}},"used_operators":["rGHVDoGpnC","mqXw5SEYmG","DZ8iAZOCBD","srAu1WTS94","A8NUZmVepG","k8jYdgA6NY","N41Kp7NANJ","IWmyXbctLI","XhwjNDsVaA","fu6greOZ01"],"dependent_operators":["Tcnh7f0tEr","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3478","layer":4},{"info":"number node, value=6362","layer":4},{"info":"compute binary expreesion, left_input=3478, right_input=6362, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=25323","layer":3},{"info":"number node, value=3744","layer":4},{"info":"compute unary expreesion, input=3744, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-11232","layer":3},{"info":"compute binary expreesion, left_input=25323, right_input=-11232, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=50646","layer":2},{"info":"number node, value=2669","layer":4},{"info":"number node, value=3886","layer":4},{"info":"compute binary expreesion, left_input=2669, right_input=3886, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2669","layer":3},{"info":"compute unary expreesion, input=2669, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=17","layer":2},{"info":"compute binary expreesion, left_input=50646, right_input=17, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=-57","layer":1},{"info":"number node, value=3181","layer":4},{"info":"number node, value=2300","layer":4},{"info":"compute binary expreesion, left_input=3181, right_input=2300, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"number node, value=1816","layer":4},{"info":"number node, value=5773","layer":4},{"info":"compute binary expreesion, left_input=1816, right_input=5773, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', 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=-57, 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":13,"result_base":13,"text":"((⪎⋱⫍1777⫸⊐⪎⋱⫍2B85⊉≛↸(⨵≀≌⪎⋱⫍1920))⫸⊐(↥(⪎⋱⫍12A4%⪎⋱⫍19CC)))⨟⋌⩍((⪎⋱⫍15A9/⪎⋱⫍107C)⪮%⊝(⪎⋱⫍A99⨐⩸⫘⪎⋱⫍2821)≋⫹)=NaN","reverse_text":"NaN=((⪎⋱⫍1777⫸⊐⪎⋱⫍2B85⊉≛↸(⨵≀≌⪎⋱⫍1920))⫸⊐(↥(⪎⋱⫍12A4%⪎⋱⫍19CC)))⨟⋌⩍((⪎⋱⫍15A9/⪎⋱⫍107C)⪮%⊝(⪎⋱⫍A99⨐⩸⫘⪎⋱⫍2821)≋⫹)","cot":[{"info":"⪎⋱⫍1777⫸⊐⪎⋱⫍2B85=⪎⋱⫍B6AC","layer":3},{"info":"⨵≀≌⪎⋱⫍1920=⪎⋱⫍-5160","layer":3},{"info":"⪎⋱⫍B6AC⊉≛↸⪎⋱⫍-5160=⪎⋱⫍1A08B","layer":2},{"info":"⪎⋱⫍12A4%⪎⋱⫍19CC=⪎⋱⫍12A4","layer":3},{"info":"↥⪎⋱⫍12A4=⪎⋱⫍14","layer":2},{"info":"⪎⋱⫍1A08B⫸⊐⪎⋱⫍14=⪎⋱⫍-45","layer":1},{"info":"⪎⋱⫍15A9/⪎⋱⫍107C=⪎⋱⫍1","layer":3},{"info":"⪎⋱⫍A99⨐⩸⫘⪎⋱⫍2821=NaN","layer":3},{"info":"⪎⋱⫍1⪮%⊝NaN=NaN","layer":2},{"info":"NaN≋⫹=NaN","layer":1},{"info":"⪎⋱⫍-45⨟⋌⩍NaN=NaN","layer":0}]}
{"id":731,"expression_no_base_symbol":"($4526$⩨$1891$)∀⇚≩($1673$⊭∹↮)≭($6601$+⇶⊼$1705$+($4016$/$4682$))⩤","expression":"(⪎⋱⫍20A2⩨⪎⋱⫍B26)∀⇚≩(⪎⋱⫍9B9⊭∹↮)≭(⪎⋱⫍300A+⇶⊼⪎⋱⫍A12+(⪎⋱⫍1A9C/⪎⋱⫍2192))⩤","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":16,"operation_count":8,"complexity_ratio":2.0,"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":4526,"base":13},"right_expr":{"type":"numeric_atoms","value":1891,"base":13}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":1673,"base":13}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":6601,"base":13},"right_expr":{"type":"numeric_atoms","value":1705,"base":13}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":4016,"base":13},"right_expr":{"type":"numeric_atoms","value":4682,"base":13}}}}},"used_operators":["Z2TMIBDE3Q","rxpJgHHUmx","LRNGc0VcxI","2DlMacCsIx","xNBdhnnwKq","W4YGzv6Whe","TpPTUOHfaN","XhwjNDsVaA"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","X99M06cbEe","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","AHs5Up7iyr","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4526","layer":4},{"info":"number node, value=1891","layer":4},{"info":"compute binary expreesion, left_input=4526, right_input=1891, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=1673","layer":4},{"info":"compute unary expreesion, input=1673, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=3346","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=3346, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=3346","layer":2},{"info":"number node, value=6601","layer":4},{"info":"number node, value=1705","layer":4},{"info":"compute binary expreesion, left_input=6601, right_input=1705, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=4016","layer":4},{"info":"number node, value=4682","layer":4},{"info":"compute binary expreesion, left_input=4016, right_input=4682, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=3346, 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 = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍20A2⩨⪎⋱⫍B26)∀⇚≩(⪎⋱⫍9B9⊭∹↮)≭(⪎⋱⫍300A+⇶⊼⪎⋱⫍A12+(⪎⋱⫍1A9C/⪎⋱⫍2192))⩤=NaN","reverse_text":"NaN=(⪎⋱⫍20A2⩨⪎⋱⫍B26)∀⇚≩(⪎⋱⫍9B9⊭∹↮)≭(⪎⋱⫍300A+⇶⊼⪎⋱⫍A12+(⪎⋱⫍1A9C/⪎⋱⫍2192))⩤","cot":[{"info":"⪎⋱⫍20A2⩨⪎⋱⫍B26=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍9B9⊭∹↮=⪎⋱⫍16A5","layer":3},{"info":"⪎⋱⫍0∀⇚≩⪎⋱⫍16A5=⪎⋱⫍16A5","layer":2},{"info":"⪎⋱⫍300A+⇶⊼⪎⋱⫍A12=NaN","layer":3},{"info":"⪎⋱⫍1A9C/⪎⋱⫍2192=⪎⋱⫍0","layer":3},{"info":"NaN+⪎⋱⫍0=NaN","layer":2},{"info":"⪎⋱⫍16A5≭NaN=NaN","layer":1},{"info":"NaN⩤=NaN","layer":0}]}
{"id":732,"expression_no_base_symbol":"⪲⇎($2009$⊉≛↸$4643$⊉≛↸$3819$∀⇚≩$5510$*($1268$⊭↱$1203$⋷$6064$⨟⋌⩍$5019$))","expression":"⪲⇎(⪎⋱⫍BB7⊉≛↸⪎⋱⫍2162⊉≛↸⪎⋱⫍197A∀⇚≩⪎⋱⫍267B*(⪎⋱⫍767⊭↱⪎⋱⫍717⋷⪎⋱⫍29B6⨟⋌⩍⪎⋱⫍2391))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":26998,"operation_count":8,"complexity_ratio":3374.75,"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":2009,"base":13},"right_expr":{"type":"numeric_atoms","value":4643,"base":13}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":3819,"base":13},"right_expr":{"type":"numeric_atoms","value":5510,"base":13}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1268,"base":13},"right_expr":{"type":"numeric_atoms","value":1203,"base":13}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":6064,"base":13},"right_expr":{"type":"numeric_atoms","value":5019,"base":13}}}}},"used_operators":["XPYlsWDdGa","9HNa5Wba9A","DZ8iAZOCBD","LRNGc0VcxI","23Mk6UjR3U","COABgblf1C","rGHVDoGpnC"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr"],"result":"⪎⋱⫍AA8B1C","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2009","layer":4},{"info":"number node, value=4643","layer":4},{"info":"compute binary expreesion, left_input=2009, right_input=4643, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=4018","layer":3},{"info":"number node, value=3819","layer":4},{"info":"number node, value=5510","layer":4},{"info":"compute binary expreesion, left_input=3819, right_input=5510, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=4018, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=8036","layer":2},{"info":"number node, value=1268","layer":4},{"info":"number node, value=1203","layer":4},{"info":"compute binary expreesion, left_input=1268, right_input=1203, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-125","layer":3},{"info":"number node, value=6064","layer":4},{"info":"number node, value=5019","layer":4},{"info":"compute binary expreesion, left_input=6064, right_input=5019, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=-125, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=250","layer":2},{"info":"compute binary expreesion, left_input=8036, right_input=250, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=2009000","layer":1},{"info":"compute unary expreesion, input=2009000, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=4018000","layer":0}],"base":13,"result_base":13,"text":"⪲⇎(⪎⋱⫍BB7⊉≛↸⪎⋱⫍2162⊉≛↸⪎⋱⫍197A∀⇚≩⪎⋱⫍267B*(⪎⋱⫍767⊭↱⪎⋱⫍717⋷⪎⋱⫍29B6⨟⋌⩍⪎⋱⫍2391))=⪎⋱⫍AA8B1C","reverse_text":"⪎⋱⫍AA8B1C=⪲⇎(⪎⋱⫍BB7⊉≛↸⪎⋱⫍2162⊉≛↸⪎⋱⫍197A∀⇚≩⪎⋱⫍267B*(⪎⋱⫍767⊭↱⪎⋱⫍717⋷⪎⋱⫍29B6⨟⋌⩍⪎⋱⫍2391))","cot":[{"info":"⪎⋱⫍BB7⊉≛↸⪎⋱⫍2162=⪎⋱⫍1AA1","layer":3},{"info":"⪎⋱⫍197A∀⇚≩⪎⋱⫍267B=NaN","layer":3},{"info":"⪎⋱⫍1AA1⊉≛↸NaN=⪎⋱⫍3872","layer":2},{"info":"⪎⋱⫍767⊭↱⪎⋱⫍717=⪎⋱⫍-98","layer":3},{"info":"⪎⋱⫍29B6⨟⋌⩍⪎⋱⫍2391=NaN","layer":3},{"info":"⪎⋱⫍-98⋷NaN=⪎⋱⫍163","layer":2},{"info":"⪎⋱⫍3872*⪎⋱⫍163=⪎⋱⫍554576","layer":1},{"info":"⪲⇎⪎⋱⫍554576=⪎⋱⫍AA8B1C","layer":0}]}
{"id":733,"expression_no_base_symbol":"(($3726$⊉≛↸$1163$)⪮%⊝($5209$≧⫂∧$4416$)≎⊠⪸(($3191$⊭↱$1249$)≣⋋))⋓((⨰⫟⨤$3422$)⫡⨏$3582$⇼⇔∾$7215$+$4294$∼$3404$⫸⊐$6627$⩚⊴⇥$4858$)","expression":"((⪎⋱⫍1908⊉≛↸⪎⋱⫍6B6)⪮%⊝(⪎⋱⫍24A9≧⫂∧⪎⋱⫍2019)≎⊠⪸((⪎⋱⫍15B6⊭↱⪎⋱⫍751)≣⋋))⋓((⨰⫟⨤⪎⋱⫍1733)⫡⨏⪎⋱⫍1827⇼⇔∾⪎⋱⫍3390+⪎⋱⫍1C54∼⪎⋱⫍171B⫸⊐⪎⋱⫍302A⩚⊴⇥⪎⋱⫍2299)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":13766,"operation_count":14,"complexity_ratio":983.2857142857143,"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":3726,"base":13},"right_expr":{"type":"numeric_atoms","value":1163,"base":13}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":5209,"base":13},"right_expr":{"type":"numeric_atoms","value":4416,"base":13}}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":3191,"base":13},"right_expr":{"type":"numeric_atoms","value":1249,"base":13}}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":3422,"base":13}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":3582,"base":13},"right_expr":{"type":"numeric_atoms","value":7215,"base":13}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":4294,"base":13},"right_expr":{"type":"numeric_atoms","value":3404,"base":13}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":6627,"base":13},"right_expr":{"type":"numeric_atoms","value":4858,"base":13}}}}},"used_operators":["T2fj7uvVaJ","bJkvcejdHO","IWmyXbctLI","DZ8iAZOCBD","Ph9nP6C5qx","Tcnh7f0tEr","COABgblf1C","W4YGzv6Whe","QMFrweE19q","Tw270M8GLb","tifHPKVTfV","mqXw5SEYmG","DyGG3AbaNP","NTOWxs364D"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3726","layer":4},{"info":"number node, value=1163","layer":4},{"info":"compute binary expreesion, left_input=3726, right_input=1163, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=7452","layer":3},{"info":"number node, value=5209","layer":4},{"info":"number node, value=4416","layer":4},{"info":"compute binary expreesion, left_input=5209, right_input=4416, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=3943","layer":3},{"info":"compute binary expreesion, left_input=7452, right_input=3943, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=15220","layer":2},{"info":"number node, value=3191","layer":4},{"info":"number node, value=1249","layer":4},{"info":"compute binary expreesion, left_input=3191, right_input=1249, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-3879","layer":3},{"info":"compute unary expreesion, input=-3879, 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=15220, right_input=0, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=3941507","layer":1},{"info":"number node, value=3422","layer":4},{"info":"compute unary expreesion, input=3422, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=3582","layer":4},{"info":"number node, value=7215","layer":4},{"info":"compute binary expreesion, left_input=3582, right_input=7215, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=3633","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3633, op_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=4294","layer":4},{"info":"number node, value=3404","layer":4},{"info":"compute binary expreesion, left_input=4294, right_input=3404, 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=6627","layer":4},{"info":"number node, value=4858","layer":4},{"info":"compute binary expreesion, left_input=6627, right_input=4858, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-11606","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-11606, 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 = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=3941507, 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":13,"result_base":13,"text":"((⪎⋱⫍1908⊉≛↸⪎⋱⫍6B6)⪮%⊝(⪎⋱⫍24A9≧⫂∧⪎⋱⫍2019)≎⊠⪸((⪎⋱⫍15B6⊭↱⪎⋱⫍751)≣⋋))⋓((⨰⫟⨤⪎⋱⫍1733)⫡⨏⪎⋱⫍1827⇼⇔∾⪎⋱⫍3390+⪎⋱⫍1C54∼⪎⋱⫍171B⫸⊐⪎⋱⫍302A⩚⊴⇥⪎⋱⫍2299)=NaN","reverse_text":"NaN=((⪎⋱⫍1908⊉≛↸⪎⋱⫍6B6)⪮%⊝(⪎⋱⫍24A9≧⫂∧⪎⋱⫍2019)≎⊠⪸((⪎⋱⫍15B6⊭↱⪎⋱⫍751)≣⋋))⋓((⨰⫟⨤⪎⋱⫍1733)⫡⨏⪎⋱⫍1827⇼⇔∾⪎⋱⫍3390+⪎⋱⫍1C54∼⪎⋱⫍171B⫸⊐⪎⋱⫍302A⩚⊴⇥⪎⋱⫍2299)","cot":[{"info":"⪎⋱⫍1908⊉≛↸⪎⋱⫍6B6=⪎⋱⫍3513","layer":3},{"info":"⪎⋱⫍24A9≧⫂∧⪎⋱⫍2019=⪎⋱⫍1A44","layer":3},{"info":"⪎⋱⫍3513⪮%⊝⪎⋱⫍1A44=⪎⋱⫍6C0A","layer":2},{"info":"⪎⋱⫍15B6⊭↱⪎⋱⫍751=⪎⋱⫍-19C5","layer":3},{"info":"⪎⋱⫍-19C5≣⋋=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍6C0A≎⊠⪸⪎⋱⫍0=⪎⋱⫍A8006B","layer":1},{"info":"⨰⫟⨤⪎⋱⫍1733=NaN","layer":3},{"info":"⪎⋱⫍1827⇼⇔∾⪎⋱⫍3390=⪎⋱⫍1866","layer":3},{"info":"NaN⫡⨏⪎⋱⫍1866=NaN","layer":2},{"info":"⪎⋱⫍1C54∼⪎⋱⫍171B=NaN","layer":3},{"info":"⪎⋱⫍302A⩚⊴⇥⪎⋱⫍2299=⪎⋱⫍-538A","layer":3},{"info":"NaN⫸⊐⪎⋱⫍-538A=NaN","layer":2},{"info":"NaN+NaN=NaN","layer":1},{"info":"⪎⋱⫍A8006B⋓NaN=NaN","layer":0}]}
{"id":734,"expression_no_base_symbol":"∂($6683$⪨≂$2687$↪⪝)⨟⋌⩍(≦∁(↯⪼$1260$))","expression":"∂(⪎⋱⫍3071⪨≂⪎⋱⫍12B9↪⪝)⨟⋌⩍(≦∁(↯⪼⪎⋱⫍75C))","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":1554,"operation_count":6,"complexity_ratio":259.0,"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":6683,"base":13},"right_expr":{"type":"numeric_atoms","value":2687,"base":13}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1260,"base":13}}}}},"used_operators":["Uaa54Peajs","rGHVDoGpnC","l07mrZUIn9","sdazOOVcIp","9ICcGScMcE","8jW3W4yZS5"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","Tcnh7f0tEr","9HNa5Wba9A","2DDjHMKMc0","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=6683","layer":4},{"info":"number node, value=2687","layer":4},{"info":"compute binary expreesion, left_input=6683, right_input=2687, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=8094","layer":3},{"info":"compute unary expreesion, input=8094, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=495207108","layer":2},{"info":"number node, value=1260","layer":4},{"info":"compute unary expreesion, input=1260, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":3},{"info":"compute unary expreesion, input=-21, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=-70","layer":2},{"info":"compute binary expreesion, left_input=495207108, right_input=-70, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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 = 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":13,"result_base":13,"text":"∂(⪎⋱⫍3071⪨≂⪎⋱⫍12B9↪⪝)⨟⋌⩍(≦∁(↯⪼⪎⋱⫍75C))=NaN","reverse_text":"NaN=∂(⪎⋱⫍3071⪨≂⪎⋱⫍12B9↪⪝)⨟⋌⩍(≦∁(↯⪼⪎⋱⫍75C))","cot":[{"info":"⪎⋱⫍3071⪨≂⪎⋱⫍12B9=⪎⋱⫍38B8","layer":3},{"info":"⪎⋱⫍38B8↪⪝=⪎⋱⫍7B797676","layer":2},{"info":"↯⪼⪎⋱⫍75C=⪎⋱⫍-18","layer":3},{"info":"≦∁⪎⋱⫍-18=⪎⋱⫍-55","layer":2},{"info":"⪎⋱⫍7B797676⨟⋌⩍⪎⋱⫍-55=NaN","layer":1},{"info":"∂NaN=NaN","layer":0}]}
{"id":735,"expression_no_base_symbol":"(($4325$⩨$1831$∲⫓$6155$∼$1421$)⪘⫢($1322$⨐⩸⫘$1621$)⨟⋌⩍($1127$≧⫂∧$3910$))⨟⋌⩍((⪝⪂⫅($6928$⊭↱$5033$))⩚⊴⇥($7039$↺$2765$)⊴($3317$≭$4072$))","expression":"((⪎⋱⫍1C79⩨⪎⋱⫍AAB∲⫓⪎⋱⫍2A56∼⪎⋱⫍854)⪘⫢(⪎⋱⫍7A9⨐⩸⫘⪎⋱⫍979)⨟⋌⩍(⪎⋱⫍689≧⫂∧⪎⋱⫍1A1A))⨟⋌⩍((⪝⪂⫅(⪎⋱⫍31CC⊭↱⪎⋱⫍23A2))⩚⊴⇥(⪎⋱⫍3286↺⪎⋱⫍1349)⊴(⪎⋱⫍1682≭⪎⋱⫍1B13))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":310,"operation_count":14,"complexity_ratio":22.142857142857142,"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":4325,"base":13},"right_expr":{"type":"numeric_atoms","value":1831,"base":13}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":6155,"base":13},"right_expr":{"type":"numeric_atoms","value":1421,"base":13}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1322,"base":13},"right_expr":{"type":"numeric_atoms","value":1621,"base":13}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1127,"base":13},"right_expr":{"type":"numeric_atoms","value":3910,"base":13}}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":6928,"base":13},"right_expr":{"type":"numeric_atoms","value":5033,"base":13}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":7039,"base":13},"right_expr":{"type":"numeric_atoms","value":2765,"base":13}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":3317,"base":13},"right_expr":{"type":"numeric_atoms","value":4072,"base":13}}}}},"used_operators":["rGHVDoGpnC","oacrs7FA3X","i8ToyICDmI","2DlMacCsIx","DyGG3AbaNP","fu6greOZ01","Ph9nP6C5qx","NTOWxs364D","XTarYq4gQB","COABgblf1C","Nsiff2A1zJ","7j4O788W3g","rxpJgHHUmx"],"dependent_operators":["Tcnh7f0tEr","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","9HNa5Wba9A","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4325","layer":4},{"info":"number node, value=1831","layer":4},{"info":"compute binary expreesion, left_input=4325, right_input=1831, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=6155","layer":4},{"info":"number node, value=1421","layer":4},{"info":"compute binary expreesion, left_input=6155, right_input=1421, 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 = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":2},{"info":"number node, value=1322","layer":4},{"info":"number node, value=1621","layer":4},{"info":"compute binary expreesion, left_input=1322, right_input=1621, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=1127","layer":4},{"info":"number node, value=3910","layer":4},{"info":"compute binary expreesion, left_input=1127, right_input=3910, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=3437","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3437, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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 = 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=6928","layer":4},{"info":"number node, value=5033","layer":4},{"info":"compute binary expreesion, left_input=6928, right_input=5033, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-3785","layer":3},{"info":"compute unary expreesion, input=-3785, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=556395","layer":2},{"info":"number node, value=7039","layer":4},{"info":"number node, value=2765","layer":4},{"info":"compute binary expreesion, left_input=7039, right_input=2765, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2765","layer":3},{"info":"number node, value=3317","layer":4},{"info":"number node, value=4072","layer":4},{"info":"compute binary expreesion, left_input=3317, 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":"compute binary expreesion, left_input=2765, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=556395, 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 = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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":13,"result_base":13,"text":"((⪎⋱⫍1C79⩨⪎⋱⫍AAB∲⫓⪎⋱⫍2A56∼⪎⋱⫍854)⪘⫢(⪎⋱⫍7A9⨐⩸⫘⪎⋱⫍979)⨟⋌⩍(⪎⋱⫍689≧⫂∧⪎⋱⫍1A1A))⨟⋌⩍((⪝⪂⫅(⪎⋱⫍31CC⊭↱⪎⋱⫍23A2))⩚⊴⇥(⪎⋱⫍3286↺⪎⋱⫍1349)⊴(⪎⋱⫍1682≭⪎⋱⫍1B13))=NaN","reverse_text":"NaN=((⪎⋱⫍1C79⩨⪎⋱⫍AAB∲⫓⪎⋱⫍2A56∼⪎⋱⫍854)⪘⫢(⪎⋱⫍7A9⨐⩸⫘⪎⋱⫍979)⨟⋌⩍(⪎⋱⫍689≧⫂∧⪎⋱⫍1A1A))⨟⋌⩍((⪝⪂⫅(⪎⋱⫍31CC⊭↱⪎⋱⫍23A2))⩚⊴⇥(⪎⋱⫍3286↺⪎⋱⫍1349)⊴(⪎⋱⫍1682≭⪎⋱⫍1B13))","cot":[{"info":"⪎⋱⫍1C79⩨⪎⋱⫍AAB=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍2A56∼⪎⋱⫍854=NaN","layer":3},{"info":"⪎⋱⫍0∲⫓NaN=NaN","layer":2},{"info":"⪎⋱⫍7A9⨐⩸⫘⪎⋱⫍979=NaN","layer":3},{"info":"⪎⋱⫍689≧⫂∧⪎⋱⫍1A1A=⪎⋱⫍1745","layer":3},{"info":"NaN⨟⋌⩍⪎⋱⫍1745=NaN","layer":2},{"info":"NaN⪘⫢NaN=NaN","layer":1},{"info":"⪎⋱⫍31CC⊭↱⪎⋱⫍23A2=⪎⋱⫍-1952","layer":3},{"info":"⪝⪂⫅⪎⋱⫍-1952=⪎⋱⫍166338","layer":2},{"info":"⪎⋱⫍3286↺⪎⋱⫍1349=⪎⋱⫍1349","layer":3},{"info":"⪎⋱⫍1682≭⪎⋱⫍1B13=NaN","layer":3},{"info":"⪎⋱⫍1349⊴NaN=NaN","layer":2},{"info":"⪎⋱⫍166338⩚⊴⇥NaN=NaN","layer":1},{"info":"NaN⨟⋌⩍NaN=NaN","layer":0}]}
{"id":736,"expression_no_base_symbol":"((≤/$6388$)≧⫂∧($3216$≧⫂∧$1002$)⨵⪆($3391$⋥≓≎$2484$≋⫹))⩚⊴⇥((⨑⩽⪐$5292$)↙($1283$⩨$4643$)⫸⊐$2063$∼$4648$⨳⩥⨓$1011$⪛$9024$)","expression":"((≤/⪎⋱⫍2BA5)≧⫂∧(⪎⋱⫍1605≧⫂∧⪎⋱⫍5C1)⨵⪆(⪎⋱⫍170B⋥≓≎⪎⋱⫍1191≋⫹))⩚⊴⇥((⨑⩽⪐⪎⋱⫍2541)↙(⪎⋱⫍779⩨⪎⋱⫍2162)⫸⊐⪎⋱⫍C29∼⪎⋱⫍2167⨳⩥⨓⪎⋱⫍5CA⪛⪎⋱⫍4152)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":78,"operation_count":14,"complexity_ratio":5.571428571428571,"tree":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":6388,"base":13}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":3216,"base":13},"right_expr":{"type":"numeric_atoms","value":1002,"base":13}}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":3391,"base":13},"right_expr":{"type":"numeric_atoms","value":2484,"base":13}}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":5292,"base":13}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1283,"base":13},"right_expr":{"type":"numeric_atoms","value":4643,"base":13}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2063,"base":13},"right_expr":{"type":"numeric_atoms","value":4648,"base":13}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1011,"base":13},"right_expr":{"type":"numeric_atoms","value":9024,"base":13}}}}},"used_operators":["NTOWxs364D","2DQ55sFlQl","Ph9nP6C5qx","eLAdDNolq6","N41Kp7NANJ","Qy55tPpLXF","mqXw5SEYmG","yyfyN0ffXY","AF7qkfDlqP","2DlMacCsIx","nCS4ZIUYfx","DyGG3AbaNP","uFcxV4UQCh"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","rysDP5nf3Z","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"⪎⋱⫍-751","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=6388","layer":4},{"info":"compute unary expreesion, input=6388, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-5904","layer":3},{"info":"number node, value=3216","layer":4},{"info":"number node, value=1002","layer":4},{"info":"compute binary expreesion, left_input=3216, right_input=1002, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=529","layer":3},{"info":"compute binary expreesion, left_input=-5904, right_input=529, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=56","layer":2},{"info":"number node, value=3391","layer":4},{"info":"number node, value=2484","layer":4},{"info":"compute binary expreesion, left_input=3391, right_input=2484, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=1610","layer":3},{"info":"compute unary expreesion, input=1610, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-3220","layer":2},{"info":"compute binary expreesion, left_input=56, right_input=-3220, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=5292","layer":4},{"info":"compute unary expreesion, input=5292, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-5019","layer":3},{"info":"number node, value=1283","layer":4},{"info":"number node, value=4643","layer":4},{"info":"compute binary expreesion, left_input=1283, right_input=4643, 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=-5019, right_input=-9, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-5019","layer":2},{"info":"number node, value=2063","layer":4},{"info":"number node, value=4648","layer":4},{"info":"compute binary expreesion, left_input=2063, right_input=4648, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"number node, value=1011","layer":4},{"info":"number node, value=9024","layer":4},{"info":"compute binary expreesion, left_input=1011, right_input=9024, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1011","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1011, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-5019, right_input=nan, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=968","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=968, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-1249","layer":0}],"base":13,"result_base":13,"text":"((≤/⪎⋱⫍2BA5)≧⫂∧(⪎⋱⫍1605≧⫂∧⪎⋱⫍5C1)⨵⪆(⪎⋱⫍170B⋥≓≎⪎⋱⫍1191≋⫹))⩚⊴⇥((⨑⩽⪐⪎⋱⫍2541)↙(⪎⋱⫍779⩨⪎⋱⫍2162)⫸⊐⪎⋱⫍C29∼⪎⋱⫍2167⨳⩥⨓⪎⋱⫍5CA⪛⪎⋱⫍4152)=⪎⋱⫍-751","reverse_text":"⪎⋱⫍-751=((≤/⪎⋱⫍2BA5)≧⫂∧(⪎⋱⫍1605≧⫂∧⪎⋱⫍5C1)⨵⪆(⪎⋱⫍170B⋥≓≎⪎⋱⫍1191≋⫹))⩚⊴⇥((⨑⩽⪐⪎⋱⫍2541)↙(⪎⋱⫍779⩨⪎⋱⫍2162)⫸⊐⪎⋱⫍C29∼⪎⋱⫍2167⨳⩥⨓⪎⋱⫍5CA⪛⪎⋱⫍4152)","cot":[{"info":"≤/⪎⋱⫍2BA5=⪎⋱⫍-28C2","layer":3},{"info":"⪎⋱⫍1605≧⫂∧⪎⋱⫍5C1=⪎⋱⫍319","layer":3},{"info":"⪎⋱⫍-28C2≧⫂∧⪎⋱⫍319=⪎⋱⫍44","layer":2},{"info":"⪎⋱⫍170B⋥≓≎⪎⋱⫍1191=⪎⋱⫍96B","layer":3},{"info":"⪎⋱⫍96B≋⫹=⪎⋱⫍-1609","layer":2},{"info":"⪎⋱⫍44⨵⪆⪎⋱⫍-1609=⪎⋱⫍C4","layer":1},{"info":"⨑⩽⪐⪎⋱⫍2541=⪎⋱⫍-2391","layer":3},{"info":"⪎⋱⫍779⩨⪎⋱⫍2162=⪎⋱⫍-9","layer":3},{"info":"⪎⋱⫍-2391↙⪎⋱⫍-9=⪎⋱⫍-2391","layer":2},{"info":"⪎⋱⫍C29∼⪎⋱⫍2167=NaN","layer":3},{"info":"⪎⋱⫍5CA⪛⪎⋱⫍4152=⪎⋱⫍5CA","layer":3},{"info":"NaN⨳⩥⨓⪎⋱⫍5CA=NaN","layer":2},{"info":"⪎⋱⫍-2391⫸⊐NaN=⪎⋱⫍596","layer":1},{"info":"⪎⋱⫍C4⩚⊴⇥⪎⋱⫍596=⪎⋱⫍-751","layer":0}]}
{"id":737,"expression_no_base_symbol":"($1095$≎⊠⪸$1248$⫡⨏($6132$⋷$3032$))∀⇚≩((⨞⊢$3303$)-($1007$⨵⪆$6212$))⨰(($5047$⨽$2165$⨸⪁$1914$⨪↰⇹$1913$)⨐⩸⫘($1438$⫥∨⫟$1564$)⊴($2323$⩷∴$1712$))","expression":"(⪎⋱⫍663≎⊠⪸⪎⋱⫍750⫡⨏(⪎⋱⫍2A39⋷⪎⋱⫍14C3))∀⇚≩((⨞⊢⪎⋱⫍1671)-(⪎⋱⫍5C6⨵⪆⪎⋱⫍2A9B))⨰((⪎⋱⫍23B3⨽⪎⋱⫍CA7⨸⪁⪎⋱⫍B43⨪↰⇹⪎⋱⫍B42)⨐⩸⫘(⪎⋱⫍868⫥∨⫟⪎⋱⫍934)⊴(⪎⋱⫍1099⩷∴⪎⋱⫍A19))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":8621,"operation_count":15,"complexity_ratio":574.7333333333333,"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":1095,"base":13},"right_expr":{"type":"numeric_atoms","value":1248,"base":13}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":6132,"base":13},"right_expr":{"type":"numeric_atoms","value":3032,"base":13}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":3303,"base":13}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1007,"base":13},"right_expr":{"type":"numeric_atoms","value":6212,"base":13}}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":5047,"base":13},"right_expr":{"type":"numeric_atoms","value":2165,"base":13}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1914,"base":13},"right_expr":{"type":"numeric_atoms","value":1913,"base":13}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1438,"base":13},"right_expr":{"type":"numeric_atoms","value":1564,"base":13}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2323,"base":13},"right_expr":{"type":"numeric_atoms","value":1712,"base":13}}}}},"used_operators":["eewbuw0ToL","LRNGc0VcxI","QMFrweE19q","bJkvcejdHO","23Mk6UjR3U","rysDP5nf3Z","xUOZtlo3hN","2DQ55sFlQl","fu6greOZ01","g55IO6H4Gj","8HhzD0ZcuI","tmPS8pqC7x","Nsiff2A1zJ","KYD54nUTWz","9FxExcQeMw"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","W4YGzv6Whe","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rJVOvQCfKK","dWAJyo7jo9","14qkJME0vr","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1095","layer":4},{"info":"number node, value=1248","layer":4},{"info":"compute binary expreesion, left_input=1095, right_input=1248, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=283132","layer":3},{"info":"number node, value=6132","layer":4},{"info":"number node, value=3032","layer":4},{"info":"compute binary expreesion, left_input=6132, right_input=3032, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-68","layer":3},{"info":"compute binary expreesion, left_input=283132, right_input=-68, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=1416307","layer":2},{"info":"number node, value=3303","layer":4},{"info":"compute unary expreesion, input=3303, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-3477","layer":3},{"info":"number node, value=1007","layer":4},{"info":"number node, value=6212","layer":4},{"info":"compute binary expreesion, left_input=1007, right_input=6212, 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=-3477, right_input=160, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-3637","layer":2},{"info":"compute binary expreesion, left_input=1416307, right_input=-3637, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=5047","layer":4},{"info":"number node, value=2165","layer":4},{"info":"compute binary expreesion, left_input=5047, right_input=2165, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-76421808","layer":3},{"info":"number node, value=1914","layer":4},{"info":"number node, value=1913","layer":4},{"info":"compute binary expreesion, left_input=1914, right_input=1913, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1914","layer":3},{"info":"compute binary expreesion, left_input=-76421808, right_input=1914, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-152839788","layer":2},{"info":"number node, value=1438","layer":4},{"info":"number node, value=1564","layer":4},{"info":"compute binary expreesion, left_input=1438, right_input=1564, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=2323","layer":4},{"info":"number node, value=1712","layer":4},{"info":"compute binary expreesion, left_input=2323, right_input=1712, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=1190","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1190, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-152839788, 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 = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍663≎⊠⪸⪎⋱⫍750⫡⨏(⪎⋱⫍2A39⋷⪎⋱⫍14C3))∀⇚≩((⨞⊢⪎⋱⫍1671)-(⪎⋱⫍5C6⨵⪆⪎⋱⫍2A9B))⨰((⪎⋱⫍23B3⨽⪎⋱⫍CA7⨸⪁⪎⋱⫍B43⨪↰⇹⪎⋱⫍B42)⨐⩸⫘(⪎⋱⫍868⫥∨⫟⪎⋱⫍934)⊴(⪎⋱⫍1099⩷∴⪎⋱⫍A19))=NaN","reverse_text":"NaN=(⪎⋱⫍663≎⊠⪸⪎⋱⫍750⫡⨏(⪎⋱⫍2A39⋷⪎⋱⫍14C3))∀⇚≩((⨞⊢⪎⋱⫍1671)-(⪎⋱⫍5C6⨵⪆⪎⋱⫍2A9B))⨰((⪎⋱⫍23B3⨽⪎⋱⫍CA7⨸⪁⪎⋱⫍B43⨪↰⇹⪎⋱⫍B42)⨐⩸⫘(⪎⋱⫍868⫥∨⫟⪎⋱⫍934)⊴(⪎⋱⫍1099⩷∴⪎⋱⫍A19))","cot":[{"info":"⪎⋱⫍663≎⊠⪸⪎⋱⫍750=⪎⋱⫍9BB45","layer":3},{"info":"⪎⋱⫍2A39⋷⪎⋱⫍14C3=⪎⋱⫍-53","layer":3},{"info":"⪎⋱⫍9BB45⫡⨏⪎⋱⫍-53=⪎⋱⫍3A7869","layer":2},{"info":"⨞⊢⪎⋱⫍1671=⪎⋱⫍-1776","layer":3},{"info":"⪎⋱⫍5C6⨵⪆⪎⋱⫍2A9B=⪎⋱⫍C4","layer":3},{"info":"⪎⋱⫍-1776-⪎⋱⫍C4=⪎⋱⫍-186A","layer":2},{"info":"⪎⋱⫍3A7869∀⇚≩⪎⋱⫍-186A=NaN","layer":1},{"info":"⪎⋱⫍23B3⨽⪎⋱⫍CA7=⪎⋱⫍-12AA9808","layer":3},{"info":"⪎⋱⫍B43⨪↰⇹⪎⋱⫍B42=⪎⋱⫍B43","layer":3},{"info":"⪎⋱⫍-12AA9808⨸⪁⪎⋱⫍B43=⪎⋱⫍-2588465A","layer":2},{"info":"⪎⋱⫍868⫥∨⫟⪎⋱⫍934=NaN","layer":3},{"info":"⪎⋱⫍1099⩷∴⪎⋱⫍A19=⪎⋱⫍707","layer":3},{"info":"NaN⊴⪎⋱⫍707=NaN","layer":2},{"info":"⪎⋱⫍-2588465A⨐⩸⫘NaN=NaN","layer":1},{"info":"NaN⨰NaN=NaN","layer":0}]}
{"id":738,"expression_no_base_symbol":"($2089$⇷$4241$⋝⋈⪟($1865$⫩⊇)↛⩡⫤)*(⫛⫱⨽(($8504$↛⩡⫤)⪐))","expression":"(⪎⋱⫍C49⇷⪎⋱⫍1C13⋝⋈⪟(⪎⋱⫍B06⫩⊇)↛⩡⫤)*(⫛⫱⨽((⪎⋱⫍3B42↛⩡⫤)⪐))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":81908,"operation_count":8,"complexity_ratio":10238.5,"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":2089,"base":13},"right_expr":{"type":"numeric_atoms","value":4241,"base":13}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":1865,"base":13}}}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":8504,"base":13}}}}},"used_operators":["9HNa5Wba9A","FU0Cs4j7VP","2DDjHMKMc0","mp7IySMOzn","BjRHVeLaeN","DlLNRPXxWL","eH2TOUuTDT"],"dependent_operators":["W4YGzv6Whe","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2089","layer":4},{"info":"number node, value=4241","layer":4},{"info":"compute binary expreesion, left_input=2089, right_input=4241, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=8482","layer":3},{"info":"number node, value=1865","layer":4},{"info":"compute unary expreesion, input=1865, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-1823","layer":3},{"info":"compute binary expreesion, left_input=8482, right_input=-1823, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=8482","layer":2},{"info":"compute unary expreesion, input=8482, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-1276871","layer":1},{"info":"number node, value=8504","layer":4},{"info":"compute unary expreesion, input=8504, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-1280193","layer":3},{"info":"compute unary expreesion, input=-1280193, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=-2560386","layer":2},{"info":"compute unary expreesion, input=-2560386, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-1276871, right_input=0, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=0","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍C49⇷⪎⋱⫍1C13⋝⋈⪟(⪎⋱⫍B06⫩⊇)↛⩡⫤)*(⫛⫱⨽((⪎⋱⫍3B42↛⩡⫤)⪐))=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=(⪎⋱⫍C49⇷⪎⋱⫍1C13⋝⋈⪟(⪎⋱⫍B06⫩⊇)↛⩡⫤)*(⫛⫱⨽((⪎⋱⫍3B42↛⩡⫤)⪐))","cot":[{"info":"⪎⋱⫍C49⇷⪎⋱⫍1C13=⪎⋱⫍3B26","layer":3},{"info":"⪎⋱⫍B06⫩⊇=⪎⋱⫍-AA3","layer":3},{"info":"⪎⋱⫍3B26⋝⋈⪟⪎⋱⫍-AA3=⪎⋱⫍3B26","layer":2},{"info":"⪎⋱⫍3B26↛⩡⫤=⪎⋱⫍-35925B","layer":1},{"info":"⪎⋱⫍3B42↛⩡⫤=⪎⋱⫍-35A915","layer":3},{"info":"⪎⋱⫍-35A915⪐=⪎⋱⫍-6B852A","layer":2},{"info":"⫛⫱⨽⪎⋱⫍-6B852A=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍-35925B*⪎⋱⫍0=⪎⋱⫍0","layer":0}]}
{"id":739,"expression_no_base_symbol":"($1795$⨎$4295$/($2636$⪨≂$2335$))⨽(↣≠⋷($3055$⊦⊿))⊉≛↸$4507$⨓$4727$↺$1876$⋓$3407$⫸⊐($2467$⪛$1191$%(-$2470$))","expression":"(⪎⋱⫍A81⨎⪎⋱⫍1C55/(⪎⋱⫍127A⪨≂⪎⋱⫍10A8))⨽(↣≠⋷(⪎⋱⫍1510⊦⊿))⊉≛↸⪎⋱⫍2089⨓⪎⋱⫍21C8↺⪎⋱⫍B14⋓⪎⋱⫍1721⫸⊐(⪎⋱⫍117A⪛⪎⋱⫍708%(-⪎⋱⫍1180))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":4797,"operation_count":14,"complexity_ratio":342.64285714285717,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1795,"base":13},"right_expr":{"type":"numeric_atoms","value":4295,"base":13}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2636,"base":13},"right_expr":{"type":"numeric_atoms","value":2335,"base":13}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":3055,"base":13}}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":4507,"base":13},"right_expr":{"type":"numeric_atoms","value":4727,"base":13}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1876,"base":13},"right_expr":{"type":"numeric_atoms","value":3407,"base":13}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2467,"base":13},"right_expr":{"type":"numeric_atoms","value":1191,"base":13}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":2470,"base":13}}}}},"used_operators":["DZ8iAZOCBD","8HhzD0ZcuI","XhwjNDsVaA","rJVOvQCfKK","sdazOOVcIp","Asc51vEJeQ","14qkJME0vr","mqXw5SEYmG","7j4O788W3g","3ViojmjbAp","T2fj7uvVaJ","k8jYdgA6NY","uFcxV4UQCh","t8gj7n24qd"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1795","layer":4},{"info":"number node, value=4295","layer":4},{"info":"compute binary expreesion, left_input=1795, right_input=4295, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=4295","layer":3},{"info":"number node, value=2636","layer":4},{"info":"number node, value=2335","layer":4},{"info":"compute binary expreesion, left_input=2636, right_input=2335, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=704","layer":3},{"info":"compute binary expreesion, left_input=4295, right_input=704, op_id = XhwjNDsVaA binary_op_definition= 'None', output=6","layer":2},{"info":"number node, value=3055","layer":4},{"info":"compute unary expreesion, input=3055, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-9244","layer":3},{"info":"compute unary expreesion, input=-9244, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=6, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":1},{"info":"number node, value=4507","layer":4},{"info":"number node, value=4727","layer":4},{"info":"compute binary expreesion, left_input=4507, right_input=4727, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-4730","layer":3},{"info":"number node, value=1876","layer":4},{"info":"number node, value=3407","layer":4},{"info":"compute binary expreesion, left_input=1876, right_input=3407, op_id = T2fj7uvVaJ binary_op_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=-4730, 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=2467","layer":4},{"info":"number node, value=1191","layer":4},{"info":"compute binary expreesion, left_input=2467, right_input=1191, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=85","layer":3},{"info":"number node, value=2470","layer":4},{"info":"compute unary expreesion, input=2470, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-2470","layer":3},{"info":"compute binary expreesion, left_input=85, right_input=-2470, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-2385","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-2385, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍A81⨎⪎⋱⫍1C55/(⪎⋱⫍127A⪨≂⪎⋱⫍10A8))⨽(↣≠⋷(⪎⋱⫍1510⊦⊿))⊉≛↸⪎⋱⫍2089⨓⪎⋱⫍21C8↺⪎⋱⫍B14⋓⪎⋱⫍1721⫸⊐(⪎⋱⫍117A⪛⪎⋱⫍708%(-⪎⋱⫍1180))=NaN","reverse_text":"NaN=(⪎⋱⫍A81⨎⪎⋱⫍1C55/(⪎⋱⫍127A⪨≂⪎⋱⫍10A8))⨽(↣≠⋷(⪎⋱⫍1510⊦⊿))⊉≛↸⪎⋱⫍2089⨓⪎⋱⫍21C8↺⪎⋱⫍B14⋓⪎⋱⫍1721⫸⊐(⪎⋱⫍117A⪛⪎⋱⫍708%(-⪎⋱⫍1180))","cot":[{"info":"⪎⋱⫍A81⨎⪎⋱⫍1C55=⪎⋱⫍1C55","layer":3},{"info":"⪎⋱⫍127A⪨≂⪎⋱⫍10A8=⪎⋱⫍422","layer":3},{"info":"⪎⋱⫍1C55/⪎⋱⫍422=⪎⋱⫍6","layer":2},{"info":"⪎⋱⫍1510⊦⊿=⪎⋱⫍-4291","layer":3},{"info":"↣≠⋷⪎⋱⫍-4291=NaN","layer":2},{"info":"⪎⋱⫍6⨽NaN=NaN","layer":1},{"info":"⪎⋱⫍2089⨓⪎⋱⫍21C8=⪎⋱⫍-21CB","layer":3},{"info":"⪎⋱⫍B14⋓⪎⋱⫍1721=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍-21CB↺⪎⋱⫍0=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍117A⪛⪎⋱⫍708=⪎⋱⫍67","layer":3},{"info":"-⪎⋱⫍1180=⪎⋱⫍-1180","layer":3},{"info":"⪎⋱⫍67%⪎⋱⫍-1180=⪎⋱⫍-1116","layer":2},{"info":"⪎⋱⫍0⫸⊐⪎⋱⫍-1116=⪎⋱⫍0","layer":1},{"info":"NaN⊉≛↸⪎⋱⫍0=NaN","layer":0}]}
{"id":740,"expression_no_base_symbol":"((↽≂($1343$⨳⩥⨓$3972$))∲⫓$3217$⪘⫢$4123$⨓($3805$⊭↱$2419$))⪢((≦∁$3801$∀⇚≩$1200$)⨎$3584$⇷$6740$+⇶⊼($6968$%$1757$))","expression":"((↽≂(⪎⋱⫍7C4⨳⩥⨓⪎⋱⫍1A67))∲⫓⪎⋱⫍1606⪘⫢⪎⋱⫍1B52⨓(⪎⋱⫍1969⊭↱⪎⋱⫍1141))⪢((≦∁⪎⋱⫍1965∀⇚≩⪎⋱⫍714)⨎⪎⋱⫍1829⇷⪎⋱⫍30B6+⇶⊼(⪎⋱⫍3230%⪎⋱⫍A52))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":79597,"operation_count":13,"complexity_ratio":6122.846153846154,"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":1343,"base":13},"right_expr":{"type":"numeric_atoms","value":3972,"base":13}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":3217,"base":13},"right_expr":{"type":"numeric_atoms","value":4123,"base":13}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":3805,"base":13},"right_expr":{"type":"numeric_atoms","value":2419,"base":13}}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":3801,"base":13},"right_expr":{"type":"numeric_atoms","value":1200,"base":13}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":3584,"base":13},"right_expr":{"type":"numeric_atoms","value":6740,"base":13}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":6968,"base":13},"right_expr":{"type":"numeric_atoms","value":1757,"base":13}}}}},"used_operators":["dWAJyo7jo9","i8ToyICDmI","u6S6b8DprG","nCS4ZIUYfx","3ViojmjbAp","oacrs7FA3X","COABgblf1C","rJVOvQCfKK","9ICcGScMcE","LRNGc0VcxI","TpPTUOHfaN","mp7IySMOzn","k8jYdgA6NY"],"dependent_operators":["k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","X99M06cbEe","AHs5Up7iyr","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1343","layer":4},{"info":"number node, value=3972","layer":4},{"info":"compute binary expreesion, left_input=1343, right_input=3972, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=2629","layer":3},{"info":"compute unary expreesion, input=2629, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-5258","layer":2},{"info":"number node, value=3217","layer":4},{"info":"number node, value=4123","layer":4},{"info":"compute binary expreesion, left_input=3217, right_input=4123, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=6310","layer":3},{"info":"number node, value=3805","layer":4},{"info":"number node, value=2419","layer":4},{"info":"compute binary expreesion, left_input=3805, right_input=2419, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-2767","layer":3},{"info":"compute binary expreesion, left_input=6310, right_input=-2767, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2770","layer":2},{"info":"compute binary expreesion, left_input=-5258, right_input=-2770, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=-5258","layer":1},{"info":"number node, value=3801","layer":4},{"info":"number node, value=1200","layer":4},{"info":"compute binary expreesion, left_input=3801, right_input=1200, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = 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=3584","layer":4},{"info":"number node, value=6740","layer":4},{"info":"compute binary expreesion, left_input=3584, right_input=6740, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=13480","layer":3},{"info":"number node, value=6968","layer":4},{"info":"number node, value=1757","layer":4},{"info":"compute binary expreesion, left_input=6968, right_input=1757, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1697","layer":3},{"info":"compute binary expreesion, left_input=13480, right_input=1697, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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 = 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=-5258, 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":13,"result_base":13,"text":"((↽≂(⪎⋱⫍7C4⨳⩥⨓⪎⋱⫍1A67))∲⫓⪎⋱⫍1606⪘⫢⪎⋱⫍1B52⨓(⪎⋱⫍1969⊭↱⪎⋱⫍1141))⪢((≦∁⪎⋱⫍1965∀⇚≩⪎⋱⫍714)⨎⪎⋱⫍1829⇷⪎⋱⫍30B6+⇶⊼(⪎⋱⫍3230%⪎⋱⫍A52))=NaN","reverse_text":"NaN=((↽≂(⪎⋱⫍7C4⨳⩥⨓⪎⋱⫍1A67))∲⫓⪎⋱⫍1606⪘⫢⪎⋱⫍1B52⨓(⪎⋱⫍1969⊭↱⪎⋱⫍1141))⪢((≦∁⪎⋱⫍1965∀⇚≩⪎⋱⫍714)⨎⪎⋱⫍1829⇷⪎⋱⫍30B6+⇶⊼(⪎⋱⫍3230%⪎⋱⫍A52))","cot":[{"info":"⪎⋱⫍7C4⨳⩥⨓⪎⋱⫍1A67=⪎⋱⫍1273","layer":3},{"info":"↽≂⪎⋱⫍1273=⪎⋱⫍-2516","layer":2},{"info":"⪎⋱⫍1606⪘⫢⪎⋱⫍1B52=⪎⋱⫍2B45","layer":3},{"info":"⪎⋱⫍1969⊭↱⪎⋱⫍1141=⪎⋱⫍-134B","layer":3},{"info":"⪎⋱⫍2B45⨓⪎⋱⫍-134B=⪎⋱⫍-1351","layer":2},{"info":"⪎⋱⫍-2516∲⫓⪎⋱⫍-1351=⪎⋱⫍-2516","layer":1},{"info":"⪎⋱⫍1965∀⇚≩⪎⋱⫍714=NaN","layer":3},{"info":"≦∁NaN=NaN","layer":2},{"info":"⪎⋱⫍1829⇷⪎⋱⫍30B6=⪎⋱⫍619C","layer":3},{"info":"⪎⋱⫍3230%⪎⋱⫍A52=⪎⋱⫍A07","layer":3},{"info":"⪎⋱⫍619C+⇶⊼⪎⋱⫍A07=NaN","layer":2},{"info":"NaN⨎NaN=NaN","layer":1},{"info":"⪎⋱⫍-2516⪢NaN=NaN","layer":0}]}
{"id":741,"expression_no_base_symbol":"+⊝⨔($2896$⨐⩸⫘$3060$*($6926$%$2057$)⨸⪁($3530$*$1144$)⪘⫢(⪲⇎$6451$))","expression":"+⊝⨔(⪎⋱⫍141A⨐⩸⫘⪎⋱⫍1515*(⪎⋱⫍31CA%⪎⋱⫍C23)⨸⪁(⪎⋱⫍17B7*⪎⋱⫍6A0)⪘⫢(⪲⇎⪎⋱⫍2C23))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1189,"operation_count":8,"complexity_ratio":148.625,"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":2896,"base":13},"right_expr":{"type":"numeric_atoms","value":3060,"base":13}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":6926,"base":13},"right_expr":{"type":"numeric_atoms","value":2057,"base":13}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":3530,"base":13},"right_expr":{"type":"numeric_atoms","value":1144,"base":13}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":6451,"base":13}}}}},"used_operators":["DhbWaqg5eL","g55IO6H4Gj","9HNa5Wba9A","fu6greOZ01","k8jYdgA6NY","oacrs7FA3X","XPYlsWDdGa"],"dependent_operators":["dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe","W4YGzv6Whe","3ViojmjbAp","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍901","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2896","layer":4},{"info":"number node, value=3060","layer":4},{"info":"compute binary expreesion, left_input=2896, right_input=3060, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=6926","layer":4},{"info":"number node, value=2057","layer":4},{"info":"compute binary expreesion, left_input=6926, right_input=2057, op_id = k8jYdgA6NY binary_op_definition= 'None', output=755","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=755, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=3530","layer":4},{"info":"number node, value=1144","layer":4},{"info":"compute binary expreesion, left_input=3530, right_input=1144, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=4038320","layer":3},{"info":"number node, value=6451","layer":4},{"info":"compute unary expreesion, input=6451, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=12902","layer":3},{"info":"compute binary expreesion, left_input=4038320, right_input=12902, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=8076516","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=8076516, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', 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":13,"result_base":13,"text":"+⊝⨔(⪎⋱⫍141A⨐⩸⫘⪎⋱⫍1515*(⪎⋱⫍31CA%⪎⋱⫍C23)⨸⪁(⪎⋱⫍17B7*⪎⋱⫍6A0)⪘⫢(⪲⇎⪎⋱⫍2C23))=⪎⋱⫍901","reverse_text":"⪎⋱⫍901=+⊝⨔(⪎⋱⫍141A⨐⩸⫘⪎⋱⫍1515*(⪎⋱⫍31CA%⪎⋱⫍C23)⨸⪁(⪎⋱⫍17B7*⪎⋱⫍6A0)⪘⫢(⪲⇎⪎⋱⫍2C23))","cot":[{"info":"⪎⋱⫍141A⨐⩸⫘⪎⋱⫍1515=NaN","layer":3},{"info":"⪎⋱⫍31CA%⪎⋱⫍C23=⪎⋱⫍461","layer":3},{"info":"NaN*⪎⋱⫍461=NaN","layer":2},{"info":"⪎⋱⫍17B7*⪎⋱⫍6A0=⪎⋱⫍AB5150","layer":3},{"info":"⪲⇎⪎⋱⫍2C23=⪎⋱⫍5B46","layer":3},{"info":"⪎⋱⫍AB5150⪘⫢⪎⋱⫍5B46=⪎⋱⫍189A206","layer":2},{"info":"NaN⨸⪁⪎⋱⫍189A206=NaN","layer":1},{"info":"+⊝⨔NaN=⪎⋱⫍901","layer":0}]}
{"id":742,"expression_no_base_symbol":"($2827$⨐⩸⫘$1298$)∀⇚≩$1027$⪘⫢$1583$⩚⊴⇥($2548$≧⫂∧$1389$⨁⊸⫻)⩚⊴⇥(⇁⨣⪵($3254$∲⫓$4163$))∼($1822$⨐⩸⫘$2181$↺($1960$⊘))","expression":"(⪎⋱⫍1396⨐⩸⫘⪎⋱⫍78B)∀⇚≩⪎⋱⫍610⪘⫢⪎⋱⫍94A⩚⊴⇥(⪎⋱⫍1210≧⫂∧⪎⋱⫍82B⨁⊸⫻)⩚⊴⇥(⇁⨣⪵(⪎⋱⫍1634∲⫓⪎⋱⫍1B83))∼(⪎⋱⫍AA2⨐⩸⫘⪎⋱⫍CBA↺(⪎⋱⫍B7A⊘))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":72,"operation_count":13,"complexity_ratio":5.538461538461538,"tree":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2827,"base":13},"right_expr":{"type":"numeric_atoms","value":1298,"base":13}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1027,"base":13},"right_expr":{"type":"numeric_atoms","value":1583,"base":13}}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2548,"base":13},"right_expr":{"type":"numeric_atoms","value":1389,"base":13}}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":3254,"base":13},"right_expr":{"type":"numeric_atoms","value":4163,"base":13}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1822,"base":13},"right_expr":{"type":"numeric_atoms","value":2181,"base":13}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":1960,"base":13}}}}},"used_operators":["NTOWxs364D","LRNGc0VcxI","fu6greOZ01","oacrs7FA3X","glklzrTFfD","Ph9nP6C5qx","DyGG3AbaNP","inkyxCbjAn","i8ToyICDmI","7j4O788W3g","gu96TGCTMs"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","X99M06cbEe","3ViojmjbAp","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","B5M0gjZbta","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2827","layer":4},{"info":"number node, value=1298","layer":4},{"info":"compute binary expreesion, left_input=2827, right_input=1298, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1027","layer":4},{"info":"number node, value=1583","layer":4},{"info":"compute binary expreesion, left_input=1027, right_input=1583, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=1930","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1930, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=2548","layer":4},{"info":"number node, value=1389","layer":4},{"info":"compute binary expreesion, left_input=2548, right_input=1389, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=916","layer":3},{"info":"compute unary expreesion, input=916, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=916","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=916, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":1},{"info":"number node, value=3254","layer":4},{"info":"number node, value=4163","layer":4},{"info":"compute binary expreesion, left_input=3254, right_input=4163, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=0","layer":2},{"info":"number node, value=1822","layer":4},{"info":"number node, value=2181","layer":4},{"info":"compute binary expreesion, left_input=1822, right_input=2181, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=1960","layer":4},{"info":"compute unary expreesion, input=1960, 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=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":1},{"info":"compute binary expreesion, left_input=nan, right_input=20, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍1396⨐⩸⫘⪎⋱⫍78B)∀⇚≩⪎⋱⫍610⪘⫢⪎⋱⫍94A⩚⊴⇥(⪎⋱⫍1210≧⫂∧⪎⋱⫍82B⨁⊸⫻)⩚⊴⇥(⇁⨣⪵(⪎⋱⫍1634∲⫓⪎⋱⫍1B83))∼(⪎⋱⫍AA2⨐⩸⫘⪎⋱⫍CBA↺(⪎⋱⫍B7A⊘))=NaN","reverse_text":"NaN=(⪎⋱⫍1396⨐⩸⫘⪎⋱⫍78B)∀⇚≩⪎⋱⫍610⪘⫢⪎⋱⫍94A⩚⊴⇥(⪎⋱⫍1210≧⫂∧⪎⋱⫍82B⨁⊸⫻)⩚⊴⇥(⇁⨣⪵(⪎⋱⫍1634∲⫓⪎⋱⫍1B83))∼(⪎⋱⫍AA2⨐⩸⫘⪎⋱⫍CBA↺(⪎⋱⫍B7A⊘))","cot":[{"info":"⪎⋱⫍1396⨐⩸⫘⪎⋱⫍78B=NaN","layer":3},{"info":"⪎⋱⫍610⪘⫢⪎⋱⫍94A=⪎⋱⫍B56","layer":3},{"info":"NaN∀⇚≩⪎⋱⫍B56=NaN","layer":2},{"info":"⪎⋱⫍1210≧⫂∧⪎⋱⫍82B=⪎⋱⫍556","layer":3},{"info":"⪎⋱⫍556⨁⊸⫻=⪎⋱⫍556","layer":2},{"info":"NaN⩚⊴⇥⪎⋱⫍556=NaN","layer":1},{"info":"⪎⋱⫍1634∲⫓⪎⋱⫍1B83=⪎⋱⫍0","layer":3},{"info":"⇁⨣⪵⪎⋱⫍0=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍AA2⨐⩸⫘⪎⋱⫍CBA=NaN","layer":3},{"info":"⪎⋱⫍B7A⊘=⪎⋱⫍0","layer":3},{"info":"NaN↺⪎⋱⫍0=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍0∼⪎⋱⫍0=⪎⋱⫍17","layer":1},{"info":"NaN⩚⊴⇥⪎⋱⫍17=NaN","layer":0}]}
{"id":743,"expression_no_base_symbol":"(($3624$⋓$1863$)⨓($4088$⫥∨⫟$1641$)⩨($1971$⊭↱$1676$)∼($4841$⇼⇔∾$5879$))⨪↰⇹(((⪲⇎$2521$)⪒$1643$⪒$7712$)⊉≛↸($2372$∑⇟⊟$3332$≣⋋))","expression":"((⪎⋱⫍185A⋓⪎⋱⫍B04)⨓(⪎⋱⫍1B26⫥∨⫟⪎⋱⫍993)⩨(⪎⋱⫍B88⊭↱⪎⋱⫍9BC)∼(⪎⋱⫍2285⇼⇔∾⪎⋱⫍28A3))⨪↰⇹(((⪲⇎⪎⋱⫍11BC)⪒⪎⋱⫍995⪒⪎⋱⫍3683)⊉≛↸(⪎⋱⫍1106∑⇟⊟⪎⋱⫍1694≣⋋))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":215,"operation_count":14,"complexity_ratio":15.357142857142858,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":3624,"base":13},"right_expr":{"type":"numeric_atoms","value":1863,"base":13}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":4088,"base":13},"right_expr":{"type":"numeric_atoms","value":1641,"base":13}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1971,"base":13},"right_expr":{"type":"numeric_atoms","value":1676,"base":13}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":4841,"base":13},"right_expr":{"type":"numeric_atoms","value":5879,"base":13}}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":2521,"base":13}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1643,"base":13},"right_expr":{"type":"numeric_atoms","value":7712,"base":13}}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":2372,"base":13},"right_expr":{"type":"numeric_atoms","value":3332,"base":13}}}}},"used_operators":["tmPS8pqC7x","2DlMacCsIx","3ViojmjbAp","T2fj7uvVaJ","KYD54nUTWz","DyGG3AbaNP","COABgblf1C","tifHPKVTfV","DZ8iAZOCBD","f6k1SAg4EE","XPYlsWDdGa","Tcnh7f0tEr","U7g4x0WXJJ"],"dependent_operators":["rJVOvQCfKK","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","8HhzD0ZcuI","rGHVDoGpnC","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3624","layer":4},{"info":"number node, value=1863","layer":4},{"info":"compute binary expreesion, left_input=3624, right_input=1863, op_id = T2fj7uvVaJ binary_op_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=4088","layer":4},{"info":"number node, value=1641","layer":4},{"info":"compute binary expreesion, left_input=4088, right_input=1641, 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 = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":2},{"info":"number node, value=1971","layer":4},{"info":"number node, value=1676","layer":4},{"info":"compute binary expreesion, left_input=1971, right_input=1676, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-585","layer":3},{"info":"number node, value=4841","layer":4},{"info":"number node, value=5879","layer":4},{"info":"compute binary expreesion, left_input=4841, right_input=5879, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1038","layer":3},{"info":"compute binary expreesion, left_input=-585, right_input=1038, 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 = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":1},{"info":"number node, value=2521","layer":4},{"info":"compute unary expreesion, input=2521, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=5042","layer":3},{"info":"number node, value=1643","layer":4},{"info":"number node, value=7712","layer":4},{"info":"compute binary expreesion, left_input=1643, right_input=7712, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-9355","layer":3},{"info":"compute binary expreesion, left_input=5042, right_input=-9355, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=4313","layer":2},{"info":"number node, value=2372","layer":4},{"info":"number node, value=3332","layer":4},{"info":"compute binary expreesion, left_input=2372, right_input=3332, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=4313, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=8626","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=8626, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((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":13,"result_base":13,"text":"((⪎⋱⫍185A⋓⪎⋱⫍B04)⨓(⪎⋱⫍1B26⫥∨⫟⪎⋱⫍993)⩨(⪎⋱⫍B88⊭↱⪎⋱⫍9BC)∼(⪎⋱⫍2285⇼⇔∾⪎⋱⫍28A3))⨪↰⇹(((⪲⇎⪎⋱⫍11BC)⪒⪎⋱⫍995⪒⪎⋱⫍3683)⊉≛↸(⪎⋱⫍1106∑⇟⊟⪎⋱⫍1694≣⋋))=NaN","reverse_text":"NaN=((⪎⋱⫍185A⋓⪎⋱⫍B04)⨓(⪎⋱⫍1B26⫥∨⫟⪎⋱⫍993)⩨(⪎⋱⫍B88⊭↱⪎⋱⫍9BC)∼(⪎⋱⫍2285⇼⇔∾⪎⋱⫍28A3))⨪↰⇹(((⪲⇎⪎⋱⫍11BC)⪒⪎⋱⫍995⪒⪎⋱⫍3683)⊉≛↸(⪎⋱⫍1106∑⇟⊟⪎⋱⫍1694≣⋋))","cot":[{"info":"⪎⋱⫍185A⋓⪎⋱⫍B04=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍1B26⫥∨⫟⪎⋱⫍993=NaN","layer":3},{"info":"⪎⋱⫍0⨓NaN=NaN","layer":2},{"info":"⪎⋱⫍B88⊭↱⪎⋱⫍9BC=⪎⋱⫍-360","layer":3},{"info":"⪎⋱⫍2285⇼⇔∾⪎⋱⫍28A3=⪎⋱⫍61B","layer":3},{"info":"⪎⋱⫍-360∼⪎⋱⫍61B=NaN","layer":2},{"info":"NaN⩨NaN=NaN","layer":1},{"info":"⪲⇎⪎⋱⫍11BC=⪎⋱⫍23AB","layer":3},{"info":"⪎⋱⫍995⪒⪎⋱⫍3683=⪎⋱⫍-4348","layer":3},{"info":"⪎⋱⫍23AB⪒⪎⋱⫍-4348=⪎⋱⫍1C6A","layer":2},{"info":"⪎⋱⫍1106∑⇟⊟⪎⋱⫍1694=NaN","layer":3},{"info":"NaN≣⋋=NaN","layer":2},{"info":"⪎⋱⫍1C6A⊉≛↸NaN=⪎⋱⫍3C07","layer":1},{"info":"NaN⨪↰⇹⪎⋱⫍3C07=NaN","layer":0}]}
{"id":744,"expression_no_base_symbol":"(↔(($2027$-$2528$)≧⫂∧($4407$⩚⊴⇥$1492$)))⨸⪁(+⊝⨔(($1078$⋷$4430$)⋳⪒(⫓⪴$4595$)))","expression":"(↔((⪎⋱⫍BCC-⪎⋱⫍11C6)≧⫂∧(⪎⋱⫍2010⩚⊴⇥⪎⋱⫍8AA)))⨸⪁(+⊝⨔((⪎⋱⫍64C⋷⪎⋱⫍202A)⋳⪒(⫓⪴⪎⋱⫍2126)))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4641,"operation_count":9,"complexity_ratio":515.6666666666666,"tree":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2027,"base":13},"right_expr":{"type":"numeric_atoms","value":2528,"base":13}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":4407,"base":13},"right_expr":{"type":"numeric_atoms","value":1492,"base":13}}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1078,"base":13},"right_expr":{"type":"numeric_atoms","value":4430,"base":13}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":4595,"base":13}}}}},"used_operators":["g55IO6H4Gj","ruOEQAzv1W","Ph9nP6C5qx","rysDP5nf3Z","NTOWxs364D","DhbWaqg5eL","12rbrZMWeM","23Mk6UjR3U","eLxqMNBOBk"],"dependent_operators":["W4YGzv6Whe","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A"],"result":"⪎⋱⫍-350C","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2027","layer":4},{"info":"number node, value=2528","layer":4},{"info":"compute binary expreesion, left_input=2027, right_input=2528, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-501","layer":3},{"info":"number node, value=4407","layer":4},{"info":"number node, value=1492","layer":4},{"info":"compute binary expreesion, left_input=4407, right_input=1492, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-6020","layer":3},{"info":"compute binary expreesion, left_input=-501, right_input=-6020, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=5519","layer":2},{"info":"compute unary expreesion, input=5519, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-5246","layer":1},{"info":"number node, value=1078","layer":4},{"info":"number node, value=4430","layer":4},{"info":"compute binary expreesion, left_input=1078, right_input=4430, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=7782","layer":3},{"info":"number node, value=4595","layer":4},{"info":"compute unary expreesion, input=4595, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=21114025","layer":3},{"info":"compute binary expreesion, left_input=7782, right_input=21114025, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-21098748","layer":2},{"info":"compute unary expreesion, input=-21098748, 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=-5246, right_input=1522, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-7448","layer":0}],"base":13,"result_base":13,"text":"(↔((⪎⋱⫍BCC-⪎⋱⫍11C6)≧⫂∧(⪎⋱⫍2010⩚⊴⇥⪎⋱⫍8AA)))⨸⪁(+⊝⨔((⪎⋱⫍64C⋷⪎⋱⫍202A)⋳⪒(⫓⪴⪎⋱⫍2126)))=⪎⋱⫍-350C","reverse_text":"⪎⋱⫍-350C=(↔((⪎⋱⫍BCC-⪎⋱⫍11C6)≧⫂∧(⪎⋱⫍2010⩚⊴⇥⪎⋱⫍8AA)))⨸⪁(+⊝⨔((⪎⋱⫍64C⋷⪎⋱⫍202A)⋳⪒(⫓⪴⪎⋱⫍2126)))","cot":[{"info":"⪎⋱⫍BCC-⪎⋱⫍11C6=⪎⋱⫍-2C7","layer":3},{"info":"⪎⋱⫍2010⩚⊴⇥⪎⋱⫍8AA=⪎⋱⫍-2981","layer":3},{"info":"⪎⋱⫍-2C7≧⫂∧⪎⋱⫍-2981=⪎⋱⫍2687","layer":2},{"info":"↔⪎⋱⫍2687=⪎⋱⫍-2507","layer":1},{"info":"⪎⋱⫍64C⋷⪎⋱⫍202A=⪎⋱⫍3708","layer":3},{"info":"⫓⪴⪎⋱⫍2126=⪎⋱⫍44B350A","layer":3},{"info":"⪎⋱⫍3708⋳⪒⪎⋱⫍44B350A=⪎⋱⫍-44A9588","layer":2},{"info":"+⊝⨔⪎⋱⫍-44A9588=⪎⋱⫍901","layer":1},{"info":"⪎⋱⫍-2507⨸⪁⪎⋱⫍901=⪎⋱⫍-350C","layer":0}]}
{"id":745,"expression_no_base_symbol":"≉($4229$⨪↰⇹$7586$⨳⩥⨓(⨞⊢$3012$)⨸⪁($7863$⩚⊴⇥$1875$)∼(⇁⨣⪵$1255$))","expression":"≉(⪎⋱⫍1C04⨪↰⇹⪎⋱⫍35B7⨳⩥⨓(⨞⊢⪎⋱⫍14A9)⨸⪁(⪎⋱⫍376B⩚⊴⇥⪎⋱⫍B13)∼(⇁⨣⪵⪎⋱⫍757))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":4437,"operation_count":8,"complexity_ratio":554.625,"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":4229,"base":13},"right_expr":{"type":"numeric_atoms","value":7586,"base":13}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":3012,"base":13}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":7863,"base":13},"right_expr":{"type":"numeric_atoms","value":1875,"base":13}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1255,"base":13}}}}},"used_operators":["e1ybzncUwg","g55IO6H4Gj","nCS4ZIUYfx","tmPS8pqC7x","xUOZtlo3hN","DyGG3AbaNP","NTOWxs364D","inkyxCbjAn"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","B5M0gjZbta"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4229","layer":4},{"info":"number node, value=7586","layer":4},{"info":"compute binary expreesion, left_input=4229, right_input=7586, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=4229","layer":3},{"info":"number node, value=3012","layer":4},{"info":"compute unary expreesion, input=3012, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-3186","layer":3},{"info":"compute binary expreesion, left_input=4229, right_input=-3186, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-7415","layer":2},{"info":"number node, value=7863","layer":4},{"info":"number node, value=1875","layer":4},{"info":"compute binary expreesion, left_input=7863, right_input=1875, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-9859","layer":3},{"info":"number node, value=1255","layer":4},{"info":"compute unary expreesion, input=1255, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-9859, 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=-7415, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"≉(⪎⋱⫍1C04⨪↰⇹⪎⋱⫍35B7⨳⩥⨓(⨞⊢⪎⋱⫍14A9)⨸⪁(⪎⋱⫍376B⩚⊴⇥⪎⋱⫍B13)∼(⇁⨣⪵⪎⋱⫍757))=NaN","reverse_text":"NaN=≉(⪎⋱⫍1C04⨪↰⇹⪎⋱⫍35B7⨳⩥⨓(⨞⊢⪎⋱⫍14A9)⨸⪁(⪎⋱⫍376B⩚⊴⇥⪎⋱⫍B13)∼(⇁⨣⪵⪎⋱⫍757))","cot":[{"info":"⪎⋱⫍1C04⨪↰⇹⪎⋱⫍35B7=⪎⋱⫍1C04","layer":3},{"info":"⨞⊢⪎⋱⫍14A9=⪎⋱⫍-15B1","layer":3},{"info":"⪎⋱⫍1C04⨳⩥⨓⪎⋱⫍-15B1=⪎⋱⫍-34B5","layer":2},{"info":"⪎⋱⫍376B⩚⊴⇥⪎⋱⫍B13=⪎⋱⫍-4645","layer":3},{"info":"⇁⨣⪵⪎⋱⫍757=NaN","layer":3},{"info":"⪎⋱⫍-4645∼NaN=NaN","layer":2},{"info":"⪎⋱⫍-34B5⨸⪁NaN=NaN","layer":1},{"info":"≉NaN=NaN","layer":0}]}
{"id":746,"expression_no_base_symbol":"((⫛⫱⨽$2839$)↙($2391$⋷$1490$)-($1014$≎⊠⪸$1929$⩤))*((∥⊫($1697$*$2219$))+($2448$⊘)≧⫂∧($1389$%$3421$))","expression":"((⫛⫱⨽⪎⋱⫍13A5)↙(⪎⋱⫍111C⋷⪎⋱⫍8A8)-(⪎⋱⫍600≎⊠⪸⪎⋱⫍B55⩤))*((∥⊫(⪎⋱⫍A07*⪎⋱⫍1019))+(⪎⋱⫍1164⊘)≧⫂∧(⪎⋱⫍82B%⪎⋱⫍1732))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":265574,"operation_count":13,"complexity_ratio":20428.76923076923,"tree":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":2839,"base":13}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":2391,"base":13},"right_expr":{"type":"numeric_atoms","value":1490,"base":13}}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1014,"base":13},"right_expr":{"type":"numeric_atoms","value":1929,"base":13}}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1697,"base":13},"right_expr":{"type":"numeric_atoms","value":2219,"base":13}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":2448,"base":13}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1389,"base":13},"right_expr":{"type":"numeric_atoms","value":3421,"base":13}}}}},"used_operators":["9HNa5Wba9A","rysDP5nf3Z","yyfyN0ffXY","DlLNRPXxWL","23Mk6UjR3U","Z2TMIBDE3Q","bJkvcejdHO","W4YGzv6Whe","P8v4zCKN1o","Ph9nP6C5qx","gu96TGCTMs","k8jYdgA6NY"],"dependent_operators":["W4YGzv6Whe","tmPS8pqC7x","DpFCA1CohY","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rysDP5nf3Z"],"result":"Inf","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2839","layer":4},{"info":"compute unary expreesion, input=2839, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=2391","layer":4},{"info":"number node, value=1490","layer":4},{"info":"compute binary expreesion, left_input=2391, right_input=1490, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=589","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=589, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=0","layer":2},{"info":"number node, value=1014","layer":4},{"info":"number node, value=1929","layer":4},{"info":"compute binary expreesion, left_input=1014, right_input=1929, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=262153","layer":3},{"info":"compute unary expreesion, input=262153, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-262153","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-262153, op_id = rysDP5nf3Z binary_op_definition= 'None', output=262153","layer":1},{"info":"number node, value=1697","layer":4},{"info":"number node, value=2219","layer":4},{"info":"compute binary expreesion, left_input=1697, right_input=2219, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=3765643","layer":3},{"info":"compute unary expreesion, input=3765643, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=3766511","layer":2},{"info":"number node, value=2448","layer":4},{"info":"compute unary expreesion, input=2448, 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=1389","layer":4},{"info":"number node, value=3421","layer":4},{"info":"compute binary expreesion, left_input=1389, right_input=3421, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1389","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1389, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=916","layer":2},{"info":"compute binary expreesion, left_input=3766511, right_input=916, op_id = W4YGzv6Whe binary_op_definition= 'None', output=3767427","layer":1},{"info":"compute binary expreesion, left_input=262153, right_input=3767427, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=inf","layer":0}],"base":13,"result_base":13,"text":"((⫛⫱⨽⪎⋱⫍13A5)↙(⪎⋱⫍111C⋷⪎⋱⫍8A8)-(⪎⋱⫍600≎⊠⪸⪎⋱⫍B55⩤))*((∥⊫(⪎⋱⫍A07*⪎⋱⫍1019))+(⪎⋱⫍1164⊘)≧⫂∧(⪎⋱⫍82B%⪎⋱⫍1732))=Inf","reverse_text":"Inf=((⫛⫱⨽⪎⋱⫍13A5)↙(⪎⋱⫍111C⋷⪎⋱⫍8A8)-(⪎⋱⫍600≎⊠⪸⪎⋱⫍B55⩤))*((∥⊫(⪎⋱⫍A07*⪎⋱⫍1019))+(⪎⋱⫍1164⊘)≧⫂∧(⪎⋱⫍82B%⪎⋱⫍1732))","cot":[{"info":"⫛⫱⨽⪎⋱⫍13A5=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍111C⋷⪎⋱⫍8A8=⪎⋱⫍364","layer":3},{"info":"⪎⋱⫍0↙⪎⋱⫍364=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍600≎⊠⪸⪎⋱⫍B55=⪎⋱⫍92428","layer":3},{"info":"⪎⋱⫍92428⩤=⪎⋱⫍-92428","layer":2},{"info":"⪎⋱⫍0-⪎⋱⫍-92428=⪎⋱⫍92428","layer":1},{"info":"⪎⋱⫍A07*⪎⋱⫍1019=⪎⋱⫍A1ACBB","layer":3},{"info":"∥⊫⪎⋱⫍A1ACBB=⪎⋱⫍A1B508","layer":2},{"info":"⪎⋱⫍1164⊘=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍82B%⪎⋱⫍1732=⪎⋱⫍82B","layer":3},{"info":"⪎⋱⫍0≧⫂∧⪎⋱⫍82B=⪎⋱⫍556","layer":2},{"info":"⪎⋱⫍A1B508+⪎⋱⫍556=⪎⋱⫍A1BA61","layer":1},{"info":"⪎⋱⫍92428*⪎⋱⫍A1BA61=Inf","layer":0}]}
{"id":747,"expression_no_base_symbol":"(($1897$⫌⩹⨱)⋳⪒(⩦⩻⨪$2960$)⪒(⨈⫕$5547$)⇷(↔$5438$))⊴(($1048$⊉≛↸$2929$⨵⪆$5117$⨰$1926$)⩷∴($6107$∲⫓$7393$)⪘⫢$2963$⨟⋌⩍$1054$)","expression":"((⪎⋱⫍B2C⫌⩹⨱)⋳⪒(⩦⩻⨪⪎⋱⫍1469)⪒(⨈⫕⪎⋱⫍26A9)⇷(↔⪎⋱⫍2624))⊴((⪎⋱⫍628⊉≛↸⪎⋱⫍1444⨵⪆⪎⋱⫍2438⨰⪎⋱⫍B52)⩷∴(⪎⋱⫍2A1A∲⫓⪎⋱⫍3499)⪘⫢⪎⋱⫍146C⨟⋌⩍⪎⋱⫍631)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":749,"operation_count":15,"complexity_ratio":49.93333333333333,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":1897,"base":13}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":2960,"base":13}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":5547,"base":13}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":5438,"base":13}}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1048,"base":13},"right_expr":{"type":"numeric_atoms","value":2929,"base":13}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":5117,"base":13},"right_expr":{"type":"numeric_atoms","value":1926,"base":13}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":6107,"base":13},"right_expr":{"type":"numeric_atoms","value":7393,"base":13}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2963,"base":13},"right_expr":{"type":"numeric_atoms","value":1054,"base":13}}}}},"used_operators":["Nsiff2A1zJ","f6k1SAg4EE","12rbrZMWeM","EBcxylXtPf","2td37pGCOC","mp7IySMOzn","megm06wKyl","ruOEQAzv1W","9FxExcQeMw","2DQ55sFlQl","DZ8iAZOCBD","eewbuw0ToL","oacrs7FA3X","i8ToyICDmI","rGHVDoGpnC"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1897","layer":4},{"info":"compute unary expreesion, input=1897, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=5195","layer":3},{"info":"number node, value=2960","layer":4},{"info":"compute unary expreesion, input=2960, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=2960","layer":3},{"info":"compute binary expreesion, left_input=5195, right_input=2960, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=7143","layer":2},{"info":"number node, value=5547","layer":4},{"info":"compute unary expreesion, input=5547, 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=5438","layer":4},{"info":"compute unary expreesion, input=5438, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-5165","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=-5165, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=7143, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":1},{"info":"number node, value=1048","layer":4},{"info":"number node, value=2929","layer":4},{"info":"compute binary expreesion, left_input=1048, right_input=2929, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2096","layer":3},{"info":"number node, value=5117","layer":4},{"info":"number node, value=1926","layer":4},{"info":"compute binary expreesion, left_input=5117, right_input=1926, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=3201","layer":3},{"info":"compute binary expreesion, left_input=2096, right_input=3201, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=6107","layer":4},{"info":"number node, value=7393","layer":4},{"info":"compute binary expreesion, left_input=6107, right_input=7393, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=2963","layer":4},{"info":"number node, value=1054","layer":4},{"info":"compute binary expreesion, left_input=2963, right_input=1054, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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 = 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=160, 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=nan, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍B2C⫌⩹⨱)⋳⪒(⩦⩻⨪⪎⋱⫍1469)⪒(⨈⫕⪎⋱⫍26A9)⇷(↔⪎⋱⫍2624))⊴((⪎⋱⫍628⊉≛↸⪎⋱⫍1444⨵⪆⪎⋱⫍2438⨰⪎⋱⫍B52)⩷∴(⪎⋱⫍2A1A∲⫓⪎⋱⫍3499)⪘⫢⪎⋱⫍146C⨟⋌⩍⪎⋱⫍631)=NaN","reverse_text":"NaN=((⪎⋱⫍B2C⫌⩹⨱)⋳⪒(⩦⩻⨪⪎⋱⫍1469)⪒(⨈⫕⪎⋱⫍26A9)⇷(↔⪎⋱⫍2624))⊴((⪎⋱⫍628⊉≛↸⪎⋱⫍1444⨵⪆⪎⋱⫍2438⨰⪎⋱⫍B52)⩷∴(⪎⋱⫍2A1A∲⫓⪎⋱⫍3499)⪘⫢⪎⋱⫍146C⨟⋌⩍⪎⋱⫍631)","cot":[{"info":"⪎⋱⫍B2C⫌⩹⨱=⪎⋱⫍2498","layer":3},{"info":"⩦⩻⨪⪎⋱⫍1469=⪎⋱⫍1469","layer":3},{"info":"⪎⋱⫍2498⋳⪒⪎⋱⫍1469=⪎⋱⫍3336","layer":2},{"info":"⨈⫕⪎⋱⫍26A9=⪎⋱⫍-18","layer":3},{"info":"↔⪎⋱⫍2624=⪎⋱⫍-2474","layer":3},{"info":"⪎⋱⫍-18⇷⪎⋱⫍-2474=NaN","layer":2},{"info":"⪎⋱⫍3336⪒NaN=NaN","layer":1},{"info":"⪎⋱⫍628⊉≛↸⪎⋱⫍1444=⪎⋱⫍C53","layer":3},{"info":"⪎⋱⫍2438⨰⪎⋱⫍B52=⪎⋱⫍15C3","layer":3},{"info":"⪎⋱⫍C53⨵⪆⪎⋱⫍15C3=⪎⋱⫍C4","layer":2},{"info":"⪎⋱⫍2A1A∲⫓⪎⋱⫍3499=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍146C⨟⋌⩍⪎⋱⫍631=NaN","layer":3},{"info":"⪎⋱⫍0⪘⫢NaN=NaN","layer":2},{"info":"⪎⋱⫍C4⩷∴NaN=NaN","layer":1},{"info":"NaN⊴NaN=NaN","layer":0}]}
{"id":748,"expression_no_base_symbol":"≦∁(↩$2271$)⊴($1242$%$5571$)⊉≛↸$3670$∼$2778$↙($7062$⩨$1727$)","expression":"≦∁(↩⪎⋱⫍1059)⊴(⪎⋱⫍747%⪎⋱⫍26C7)⊉≛↸⪎⋱⫍1894∼⪎⋱⫍1359↙(⪎⋱⫍32A3⩨⪎⋱⫍A2B)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":8664,"operation_count":8,"complexity_ratio":1083.0,"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":2271,"base":13}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1242,"base":13},"right_expr":{"type":"numeric_atoms","value":5571,"base":13}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":3670,"base":13},"right_expr":{"type":"numeric_atoms","value":2778,"base":13}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":7062,"base":13},"right_expr":{"type":"numeric_atoms","value":1727,"base":13}}}}},"used_operators":["9ICcGScMcE","DZ8iAZOCBD","Nsiff2A1zJ","jLgFTUHLKL","k8jYdgA6NY","yyfyN0ffXY","DyGG3AbaNP","2DlMacCsIx"],"dependent_operators":["XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","tmPS8pqC7x","DpFCA1CohY","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2271","layer":4},{"info":"compute unary expreesion, input=2271, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-15388","layer":3},{"info":"number node, value=1242","layer":4},{"info":"number node, value=5571","layer":4},{"info":"compute binary expreesion, left_input=1242, right_input=5571, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1242","layer":3},{"info":"compute binary expreesion, left_input=-15388, right_input=1242, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=3670","layer":4},{"info":"number node, value=2778","layer":4},{"info":"compute binary expreesion, left_input=3670, right_input=2778, 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=7062","layer":4},{"info":"number node, value=1727","layer":4},{"info":"compute binary expreesion, left_input=7062, right_input=1727, 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 = 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 = 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 = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"≦∁(↩⪎⋱⫍1059)⊴(⪎⋱⫍747%⪎⋱⫍26C7)⊉≛↸⪎⋱⫍1894∼⪎⋱⫍1359↙(⪎⋱⫍32A3⩨⪎⋱⫍A2B)=NaN","reverse_text":"NaN=≦∁(↩⪎⋱⫍1059)⊴(⪎⋱⫍747%⪎⋱⫍26C7)⊉≛↸⪎⋱⫍1894∼⪎⋱⫍1359↙(⪎⋱⫍32A3⩨⪎⋱⫍A2B)","cot":[{"info":"↩⪎⋱⫍1059=⪎⋱⫍-7009","layer":3},{"info":"⪎⋱⫍747%⪎⋱⫍26C7=⪎⋱⫍747","layer":3},{"info":"⪎⋱⫍-7009⊴⪎⋱⫍747=NaN","layer":2},{"info":"⪎⋱⫍1894∼⪎⋱⫍1359=NaN","layer":3},{"info":"⪎⋱⫍32A3⩨⪎⋱⫍A2B=⪎⋱⫍0","layer":3},{"info":"NaN↙⪎⋱⫍0=NaN","layer":2},{"info":"NaN⊉≛↸NaN=NaN","layer":1},{"info":"≦∁NaN=NaN","layer":0}]}
{"id":749,"expression_no_base_symbol":"(($2703$⨸⪁$3523$)⪘⫢($3948$⪨≂$1384$)⪒($2975$⨵⪆$5344$)⩚⊴⇥($2192$≫≃))≧⫂∧($1959$⨪↰⇹$3731$⩷∴($4434$⊦⊿)≧⫂∧($8031$∼$2236$/$2252$⪒$3223$))","expression":"((⪎⋱⫍12CC⨸⪁⪎⋱⫍17B0)⪘⫢(⪎⋱⫍1A49⪨≂⪎⋱⫍826)⪒(⪎⋱⫍147B⨵⪆⪎⋱⫍2581)⩚⊴⇥(⪎⋱⫍CC8≫≃))≧⫂∧(⪎⋱⫍B79⨪↰⇹⪎⋱⫍1910⩷∴(⪎⋱⫍2031⊦⊿)≧⫂∧(⪎⋱⫍386A∼⪎⋱⫍1030/⪎⋱⫍1043⪒⪎⋱⫍160C))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2173,"operation_count":15,"complexity_ratio":144.86666666666667,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2703,"base":13},"right_expr":{"type":"numeric_atoms","value":3523,"base":13}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":3948,"base":13},"right_expr":{"type":"numeric_atoms","value":1384,"base":13}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2975,"base":13},"right_expr":{"type":"numeric_atoms","value":5344,"base":13}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":2192,"base":13}}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1959,"base":13},"right_expr":{"type":"numeric_atoms","value":3731,"base":13}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":4434,"base":13}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":8031,"base":13},"right_expr":{"type":"numeric_atoms","value":2236,"base":13}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2252,"base":13},"right_expr":{"type":"numeric_atoms","value":3223,"base":13}}}}},"used_operators":["Ph9nP6C5qx","f6k1SAg4EE","oacrs7FA3X","g55IO6H4Gj","sdazOOVcIp","NTOWxs364D","2DQ55sFlQl","X99M06cbEe","9FxExcQeMw","tmPS8pqC7x","14qkJME0vr","XhwjNDsVaA","DyGG3AbaNP"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rysDP5nf3Z","rJVOvQCfKK","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2703","layer":4},{"info":"number node, value=3523","layer":4},{"info":"compute binary expreesion, left_input=2703, right_input=3523, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=12452","layer":3},{"info":"number node, value=3948","layer":4},{"info":"number node, value=1384","layer":4},{"info":"compute binary expreesion, left_input=3948, right_input=1384, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=5230","layer":3},{"info":"compute binary expreesion, left_input=12452, right_input=5230, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=24780","layer":2},{"info":"number node, value=2975","layer":4},{"info":"number node, value=5344","layer":4},{"info":"compute binary expreesion, left_input=2975, right_input=5344, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=2192","layer":4},{"info":"compute unary expreesion, input=2192, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=5785","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=5785, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-6066","layer":2},{"info":"compute binary expreesion, left_input=24780, right_input=-6066, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-18714","layer":1},{"info":"number node, value=1959","layer":4},{"info":"number node, value=3731","layer":4},{"info":"compute binary expreesion, left_input=1959, right_input=3731, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1959","layer":3},{"info":"number node, value=4434","layer":4},{"info":"compute unary expreesion, input=4434, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-13381","layer":3},{"info":"compute binary expreesion, left_input=1959, right_input=-13381, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=30648","layer":2},{"info":"number node, value=8031","layer":4},{"info":"number node, value=2236","layer":4},{"info":"compute binary expreesion, left_input=8031, right_input=2236, 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=2252","layer":4},{"info":"number node, value=3223","layer":4},{"info":"compute binary expreesion, left_input=2252, right_input=3223, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5475","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-5475, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=30648, 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=-18714, right_input=nan, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍12CC⨸⪁⪎⋱⫍17B0)⪘⫢(⪎⋱⫍1A49⪨≂⪎⋱⫍826)⪒(⪎⋱⫍147B⨵⪆⪎⋱⫍2581)⩚⊴⇥(⪎⋱⫍CC8≫≃))≧⫂∧(⪎⋱⫍B79⨪↰⇹⪎⋱⫍1910⩷∴(⪎⋱⫍2031⊦⊿)≧⫂∧(⪎⋱⫍386A∼⪎⋱⫍1030/⪎⋱⫍1043⪒⪎⋱⫍160C))=NaN","reverse_text":"NaN=((⪎⋱⫍12CC⨸⪁⪎⋱⫍17B0)⪘⫢(⪎⋱⫍1A49⪨≂⪎⋱⫍826)⪒(⪎⋱⫍147B⨵⪆⪎⋱⫍2581)⩚⊴⇥(⪎⋱⫍CC8≫≃))≧⫂∧(⪎⋱⫍B79⨪↰⇹⪎⋱⫍1910⩷∴(⪎⋱⫍2031⊦⊿)≧⫂∧(⪎⋱⫍386A∼⪎⋱⫍1030/⪎⋱⫍1043⪒⪎⋱⫍160C))","cot":[{"info":"⪎⋱⫍12CC⨸⪁⪎⋱⫍17B0=⪎⋱⫍588B","layer":3},{"info":"⪎⋱⫍1A49⪨≂⪎⋱⫍826=⪎⋱⫍24C4","layer":3},{"info":"⪎⋱⫍588B⪘⫢⪎⋱⫍24C4=⪎⋱⫍B382","layer":2},{"info":"⪎⋱⫍147B⨵⪆⪎⋱⫍2581=⪎⋱⫍C4","layer":3},{"info":"⪎⋱⫍CC8≫≃=⪎⋱⫍2830","layer":3},{"info":"⪎⋱⫍C4⩚⊴⇥⪎⋱⫍2830=⪎⋱⫍-29B8","layer":2},{"info":"⪎⋱⫍B382⪒⪎⋱⫍-29B8=⪎⋱⫍-8697","layer":1},{"info":"⪎⋱⫍B79⨪↰⇹⪎⋱⫍1910=⪎⋱⫍B79","layer":3},{"info":"⪎⋱⫍2031⊦⊿=⪎⋱⫍-6124","layer":3},{"info":"⪎⋱⫍B79⩷∴⪎⋱⫍-6124=⪎⋱⫍10C47","layer":2},{"info":"⪎⋱⫍386A∼⪎⋱⫍1030=NaN","layer":3},{"info":"⪎⋱⫍1043⪒⪎⋱⫍160C=⪎⋱⫍-2652","layer":3},{"info":"NaN/⪎⋱⫍-2652=NaN","layer":2},{"info":"⪎⋱⫍10C47≧⫂∧NaN=NaN","layer":1},{"info":"⪎⋱⫍-8697≧⫂∧NaN=NaN","layer":0}]}
{"id":750,"expression_no_base_symbol":"(((⩦⩻⨪$2779$)⩚⊴⇥$7443$⨰$2684$)⊪)⪨≂(↯⪼(≉$3534$))⨰(($1209$*$2668$)⊠≄⫣)","expression":"(((⩦⩻⨪⪎⋱⫍135A)⩚⊴⇥⪎⋱⫍3507⨰⪎⋱⫍12B6)⊪)⪨≂(↯⪼(≉⪎⋱⫍17BB))⨰((⪎⋱⫍720*⪎⋱⫍12A3)⊠≄⫣)","highest_n_order":2,"priority_hierarchical_complexity":9,"normalized_expansion_degree":24292,"operation_count":10,"complexity_ratio":2429.2,"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":2779,"base":13}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":7443,"base":13},"right_expr":{"type":"numeric_atoms","value":2684,"base":13}}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":3534,"base":13}}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1209,"base":13},"right_expr":{"type":"numeric_atoms","value":2668,"base":13}}}}},"used_operators":["sdazOOVcIp","zVYPLywUTj","NTOWxs364D","2td37pGCOC","eewbuw0ToL","8jW3W4yZS5","e1ybzncUwg","DIvbN7qnHd","9HNa5Wba9A"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"⪎⋱⫍15A0AB142","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2779","layer":4},{"info":"compute unary expreesion, input=2779, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=2779","layer":3},{"info":"number node, value=7443","layer":4},{"info":"number node, value=2684","layer":4},{"info":"compute binary expreesion, left_input=7443, right_input=2684, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=4769","layer":3},{"info":"compute binary expreesion, left_input=2779, right_input=4769, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-7669","layer":2},{"info":"compute unary expreesion, input=-7669, 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=589025636","layer":1},{"info":"number node, value=3534","layer":4},{"info":"compute unary expreesion, input=3534, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=4065","layer":3},{"info":"compute unary expreesion, input=4065, 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=1209","layer":4},{"info":"number node, value=2668","layer":4},{"info":"compute binary expreesion, left_input=1209, right_input=2668, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=3225612","layer":3},{"info":"compute unary expreesion, input=3225612, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-21, right_input=0, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-11","layer":1},{"info":"compute binary expreesion, left_input=589025636, right_input=-11, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=1178051396","layer":0}],"base":13,"result_base":13,"text":"(((⩦⩻⨪⪎⋱⫍135A)⩚⊴⇥⪎⋱⫍3507⨰⪎⋱⫍12B6)⊪)⪨≂(↯⪼(≉⪎⋱⫍17BB))⨰((⪎⋱⫍720*⪎⋱⫍12A3)⊠≄⫣)=⪎⋱⫍15A0AB142","reverse_text":"⪎⋱⫍15A0AB142=(((⩦⩻⨪⪎⋱⫍135A)⩚⊴⇥⪎⋱⫍3507⨰⪎⋱⫍12B6)⊪)⪨≂(↯⪼(≉⪎⋱⫍17BB))⨰((⪎⋱⫍720*⪎⋱⫍12A3)⊠≄⫣)","cot":[{"info":"⩦⩻⨪⪎⋱⫍135A=⪎⋱⫍135A","layer":3},{"info":"⪎⋱⫍3507⨰⪎⋱⫍12B6=⪎⋱⫍222B","layer":3},{"info":"⪎⋱⫍135A⩚⊴⇥⪎⋱⫍222B=⪎⋱⫍-364C","layer":2},{"info":"⪎⋱⫍-364C⊪=⪎⋱⫍950556A4","layer":1},{"info":"≉⪎⋱⫍17BB=⪎⋱⫍1B09","layer":3},{"info":"↯⪼⪎⋱⫍1B09=⪎⋱⫍-18","layer":2},{"info":"⪎⋱⫍720*⪎⋱⫍12A3=⪎⋱⫍88C260","layer":3},{"info":"⪎⋱⫍88C260⊠≄⫣=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍-18⨰⪎⋱⫍0=⪎⋱⫍-B","layer":1},{"info":"⪎⋱⫍950556A4⪨≂⪎⋱⫍-B=⪎⋱⫍15A0AB142","layer":0}]}
{"id":751,"expression_no_base_symbol":"((⨵≀≌($4827$⊠≄⫣))⩚⊴⇥($1099$⨳⩥⨓$1469$+(↥$1079$)))↬((⨵≀≌($3933$⨸⪁$2120$))⨓(⫛⫱⨽($2856$⩤)))","expression":"((⨵≀≌(⪎⋱⫍2274⊠≄⫣))⩚⊴⇥(⪎⋱⫍667⨳⩥⨓⪎⋱⫍890+(↥⪎⋱⫍650)))↬((⨵≀≌(⪎⋱⫍1A37⨸⪁⪎⋱⫍C71))⨓(⫛⫱⨽(⪎⋱⫍13B9⩤)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1474,"operation_count":12,"complexity_ratio":122.83333333333333,"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":4827,"base":13}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1099,"base":13},"right_expr":{"type":"numeric_atoms","value":1469,"base":13}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":1079,"base":13}}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":3933,"base":13},"right_expr":{"type":"numeric_atoms","value":2120,"base":13}}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":2856,"base":13}}}}},"used_operators":["B5M0gjZbta","NTOWxs364D","srAu1WTS94","DIvbN7qnHd","W4YGzv6Whe","nCS4ZIUYfx","A8NUZmVepG","3ViojmjbAp","g55IO6H4Gj","DlLNRPXxWL","Z2TMIBDE3Q"],"dependent_operators":["rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","k8jYdgA6NY","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4827","layer":4},{"info":"compute unary expreesion, input=4827, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=0","layer":2},{"info":"number node, value=1099","layer":4},{"info":"number node, value=1469","layer":4},{"info":"compute binary expreesion, left_input=1099, right_input=1469, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=370","layer":3},{"info":"number node, value=1079","layer":4},{"info":"compute unary expreesion, input=1079, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=8","layer":3},{"info":"compute binary expreesion, left_input=370, right_input=8, op_id = W4YGzv6Whe binary_op_definition= 'None', output=378","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=378, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-499","layer":1},{"info":"number node, value=3933","layer":4},{"info":"number node, value=2120","layer":4},{"info":"compute binary expreesion, left_input=3933, right_input=2120, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=12106","layer":3},{"info":"compute unary expreesion, input=12106, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-36318","layer":2},{"info":"number node, value=2856","layer":4},{"info":"compute unary expreesion, input=2856, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-2856","layer":3},{"info":"compute unary expreesion, input=-2856, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-36318, 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=-499, 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":13,"result_base":13,"text":"((⨵≀≌(⪎⋱⫍2274⊠≄⫣))⩚⊴⇥(⪎⋱⫍667⨳⩥⨓⪎⋱⫍890+(↥⪎⋱⫍650)))↬((⨵≀≌(⪎⋱⫍1A37⨸⪁⪎⋱⫍C71))⨓(⫛⫱⨽(⪎⋱⫍13B9⩤)))=NaN","reverse_text":"NaN=((⨵≀≌(⪎⋱⫍2274⊠≄⫣))⩚⊴⇥(⪎⋱⫍667⨳⩥⨓⪎⋱⫍890+(↥⪎⋱⫍650)))↬((⨵≀≌(⪎⋱⫍1A37⨸⪁⪎⋱⫍C71))⨓(⫛⫱⨽(⪎⋱⫍13B9⩤)))","cot":[{"info":"⪎⋱⫍2274⊠≄⫣=⪎⋱⫍0","layer":3},{"info":"⨵≀≌⪎⋱⫍0=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍667⨳⩥⨓⪎⋱⫍890=⪎⋱⫍226","layer":3},{"info":"↥⪎⋱⫍650=⪎⋱⫍8","layer":3},{"info":"⪎⋱⫍226+⪎⋱⫍8=⪎⋱⫍231","layer":2},{"info":"⪎⋱⫍0⩚⊴⇥⪎⋱⫍231=⪎⋱⫍-2C5","layer":1},{"info":"⪎⋱⫍1A37⨸⪁⪎⋱⫍C71=⪎⋱⫍5683","layer":3},{"info":"⨵≀≌⪎⋱⫍5683=⪎⋱⫍-136B9","layer":2},{"info":"⪎⋱⫍13B9⩤=⪎⋱⫍-13B9","layer":3},{"info":"⫛⫱⨽⪎⋱⫍-13B9=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍-136B9⨓⪎⋱⫍0=NaN","layer":1},{"info":"⪎⋱⫍-2C5↬NaN=NaN","layer":0}]}
{"id":752,"expression_no_base_symbol":"((⨞⊢$2818$)*$2378$⊴$2271$)+⇶⊼($6159$%$2534$)≹⇙⪍(⨵≀≌$2011$)⋷(↔(∥⊫$1223$⋝⋈⪟$6505$))","expression":"((⨞⊢⪎⋱⫍138A)*⪎⋱⫍110C⊴⪎⋱⫍1059)+⇶⊼(⪎⋱⫍2A5A%⪎⋱⫍11CC)≹⇙⪍(⨵≀≌⪎⋱⫍BB9)⋷(↔(∥⊫⪎⋱⫍731⋝⋈⪟⪎⋱⫍2C65))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3610,"operation_count":11,"complexity_ratio":328.1818181818182,"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":2818,"base":13}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2378,"base":13},"right_expr":{"type":"numeric_atoms","value":2271,"base":13}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":6159,"base":13},"right_expr":{"type":"numeric_atoms","value":2534,"base":13}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":2011,"base":13}}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1223,"base":13},"right_expr":{"type":"numeric_atoms","value":6505,"base":13}}}}},"used_operators":["23Mk6UjR3U","TpPTUOHfaN","9HNa5Wba9A","xUOZtlo3hN","Nsiff2A1zJ","AHs5Up7iyr","k8jYdgA6NY","srAu1WTS94","ruOEQAzv1W","P8v4zCKN1o","2DDjHMKMc0"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","dWAJyo7jo9","rysDP5nf3Z","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2818","layer":4},{"info":"compute unary expreesion, input=2818, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-2992","layer":3},{"info":"number node, value=2378","layer":4},{"info":"number node, value=2271","layer":4},{"info":"compute binary expreesion, left_input=2378, right_input=2271, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-2992, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=6159","layer":4},{"info":"number node, value=2534","layer":4},{"info":"compute binary expreesion, left_input=6159, right_input=2534, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1091","layer":3},{"info":"number node, value=2011","layer":4},{"info":"compute unary expreesion, input=2011, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-6033","layer":3},{"info":"compute binary expreesion, left_input=1091, right_input=-6033, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=1223","layer":4},{"info":"number node, value=6505","layer":4},{"info":"compute binary expreesion, left_input=1223, right_input=6505, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1223","layer":3},{"info":"compute unary expreesion, input=1223, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2091","layer":2},{"info":"compute unary expreesion, input=2091, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-1818","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-1818, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⨞⊢⪎⋱⫍138A)*⪎⋱⫍110C⊴⪎⋱⫍1059)+⇶⊼(⪎⋱⫍2A5A%⪎⋱⫍11CC)≹⇙⪍(⨵≀≌⪎⋱⫍BB9)⋷(↔(∥⊫⪎⋱⫍731⋝⋈⪟⪎⋱⫍2C65))=NaN","reverse_text":"NaN=((⨞⊢⪎⋱⫍138A)*⪎⋱⫍110C⊴⪎⋱⫍1059)+⇶⊼(⪎⋱⫍2A5A%⪎⋱⫍11CC)≹⇙⪍(⨵≀≌⪎⋱⫍BB9)⋷(↔(∥⊫⪎⋱⫍731⋝⋈⪟⪎⋱⫍2C65))","cot":[{"info":"⨞⊢⪎⋱⫍138A=⪎⋱⫍-1492","layer":3},{"info":"⪎⋱⫍110C⊴⪎⋱⫍1059=NaN","layer":3},{"info":"⪎⋱⫍-1492*NaN=NaN","layer":2},{"info":"⪎⋱⫍2A5A%⪎⋱⫍11CC=⪎⋱⫍65C","layer":3},{"info":"⨵≀≌⪎⋱⫍BB9=⪎⋱⫍-2991","layer":3},{"info":"⪎⋱⫍65C≹⇙⪍⪎⋱⫍-2991=NaN","layer":2},{"info":"NaN+⇶⊼NaN=NaN","layer":1},{"info":"⪎⋱⫍731⋝⋈⪟⪎⋱⫍2C65=⪎⋱⫍731","layer":3},{"info":"∥⊫⪎⋱⫍731=⪎⋱⫍C4B","layer":2},{"info":"↔⪎⋱⫍C4B=⪎⋱⫍-A9B","layer":1},{"info":"NaN⋷⪎⋱⫍-A9B=NaN","layer":0}]}
{"id":753,"expression_no_base_symbol":"((∂$3647$)⊦⊿)⊴(∥⊫$2148$⋳⪒$2527$)⫩⊇","expression":"((∂⪎⋱⫍1877)⊦⊿)⊴(∥⊫⪎⋱⫍C93⋳⪒⪎⋱⫍11C5)⫩⊇","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":2376,"operation_count":6,"complexity_ratio":396.0,"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":3647,"base":13}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2148,"base":13},"right_expr":{"type":"numeric_atoms","value":2527,"base":13}}}}},"used_operators":["BjRHVeLaeN","Nsiff2A1zJ","14qkJME0vr","Uaa54Peajs","P8v4zCKN1o","12rbrZMWeM"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3647","layer":4},{"info":"compute unary expreesion, input=3647, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=nan","layer":2},{"info":"number node, value=2148","layer":4},{"info":"number node, value=2527","layer":4},{"info":"compute binary expreesion, left_input=2148, right_input=2527, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=1482","layer":3},{"info":"compute unary expreesion, input=1482, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2350","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=2350, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((∂⪎⋱⫍1877)⊦⊿)⊴(∥⊫⪎⋱⫍C93⋳⪒⪎⋱⫍11C5)⫩⊇=NaN","reverse_text":"NaN=((∂⪎⋱⫍1877)⊦⊿)⊴(∥⊫⪎⋱⫍C93⋳⪒⪎⋱⫍11C5)⫩⊇","cot":[{"info":"∂⪎⋱⫍1877=NaN","layer":3},{"info":"NaN⊦⊿=NaN","layer":2},{"info":"⪎⋱⫍C93⋳⪒⪎⋱⫍11C5=⪎⋱⫍8A0","layer":3},{"info":"∥⊫⪎⋱⫍8A0=⪎⋱⫍10BA","layer":2},{"info":"NaN⊴⪎⋱⫍10BA=NaN","layer":1},{"info":"NaN⫩⊇=NaN","layer":0}]}
{"id":754,"expression_no_base_symbol":"($1387$⨸⪁$6728$⋷(⨰⫟⨤$1272$))⪢(($3788$⊘)⋷$3952$∀⇚≩$3869$)⫌⩹⨱","expression":"(⪎⋱⫍829⨸⪁⪎⋱⫍30A7⋷(⨰⫟⨤⪎⋱⫍76B))⪢((⪎⋱⫍1955⊘)⋷⪎⋱⫍1A50∀⇚≩⪎⋱⫍19B8)⫌⩹⨱","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":31947,"operation_count":8,"complexity_ratio":3993.375,"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":1387,"base":13},"right_expr":{"type":"numeric_atoms","value":6728,"base":13}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":1272,"base":13}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":3788,"base":13}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":3952,"base":13},"right_expr":{"type":"numeric_atoms","value":3869,"base":13}}}}},"used_operators":["EBcxylXtPf","dWAJyo7jo9","23Mk6UjR3U","g55IO6H4Gj","Tw270M8GLb","gu96TGCTMs","LRNGc0VcxI"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","X99M06cbEe"],"result":"⪎⋱⫍83A","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1387","layer":4},{"info":"number node, value=6728","layer":4},{"info":"compute binary expreesion, left_input=1387, right_input=6728, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=16230","layer":3},{"info":"number node, value=1272","layer":4},{"info":"compute unary expreesion, input=1272, 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=16230, 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=3788","layer":4},{"info":"compute unary expreesion, input=3788, 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=3952","layer":4},{"info":"number node, value=3869","layer":4},{"info":"compute binary expreesion, left_input=3952, right_input=3869, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=1401","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍829⨸⪁⪎⋱⫍30A7⋷(⨰⫟⨤⪎⋱⫍76B))⪢((⪎⋱⫍1955⊘)⋷⪎⋱⫍1A50∀⇚≩⪎⋱⫍19B8)⫌⩹⨱=⪎⋱⫍83A","reverse_text":"⪎⋱⫍83A=(⪎⋱⫍829⨸⪁⪎⋱⫍30A7⋷(⨰⫟⨤⪎⋱⫍76B))⪢((⪎⋱⫍1955⊘)⋷⪎⋱⫍1A50∀⇚≩⪎⋱⫍19B8)⫌⩹⨱","cot":[{"info":"⪎⋱⫍829⨸⪁⪎⋱⫍30A7=⪎⋱⫍7506","layer":3},{"info":"⨰⫟⨤⪎⋱⫍76B=NaN","layer":3},{"info":"⪎⋱⫍7506⋷NaN=NaN","layer":2},{"info":"⪎⋱⫍1955⊘=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍1A50∀⇚≩⪎⋱⫍19B8=NaN","layer":3},{"info":"⪎⋱⫍0⋷NaN=⪎⋱⫍0","layer":2},{"info":"NaN⪢⪎⋱⫍0=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍0⫌⩹⨱=⪎⋱⫍83A","layer":0}]}
{"id":755,"expression_no_base_symbol":"(↯⪼($6777$⨐⩸⫘$2202$*$1271$≹⇙⪍$4563$))%(≉(⇁⨣⪵$1842$⋥≓≎$2451$))","expression":"(↯⪼(⪎⋱⫍3114⨐⩸⫘⪎⋱⫍1005*⪎⋱⫍76A≹⇙⪍⪎⋱⫍2100))%(≉(⇁⨣⪵⪎⋱⫍AB9⋥≓≎⪎⋱⫍1167))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":41,"operation_count":8,"complexity_ratio":5.125,"tree":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":6777,"base":13},"right_expr":{"type":"numeric_atoms","value":2202,"base":13}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1271,"base":13},"right_expr":{"type":"numeric_atoms","value":4563,"base":13}}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1842,"base":13},"right_expr":{"type":"numeric_atoms","value":2451,"base":13}}}}},"used_operators":["k8jYdgA6NY","8jW3W4yZS5","9HNa5Wba9A","fu6greOZ01","AHs5Up7iyr","e1ybzncUwg","inkyxCbjAn","Qy55tPpLXF"],"dependent_operators":["rysDP5nf3Z","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","W4YGzv6Whe","3ViojmjbAp","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=6777","layer":4},{"info":"number node, value=2202","layer":4},{"info":"compute binary expreesion, left_input=6777, right_input=2202, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=1271","layer":4},{"info":"number node, value=4563","layer":4},{"info":"compute binary expreesion, left_input=1271, right_input=4563, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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 = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":1},{"info":"number node, value=1842","layer":4},{"info":"number node, value=2451","layer":4},{"info":"compute binary expreesion, left_input=1842, right_input=2451, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=3093","layer":3},{"info":"compute unary expreesion, input=3093, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵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=-21, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":0}],"base":13,"result_base":13,"text":"(↯⪼(⪎⋱⫍3114⨐⩸⫘⪎⋱⫍1005*⪎⋱⫍76A≹⇙⪍⪎⋱⫍2100))%(≉(⇁⨣⪵⪎⋱⫍AB9⋥≓≎⪎⋱⫍1167))=NaN","reverse_text":"NaN=(↯⪼(⪎⋱⫍3114⨐⩸⫘⪎⋱⫍1005*⪎⋱⫍76A≹⇙⪍⪎⋱⫍2100))%(≉(⇁⨣⪵⪎⋱⫍AB9⋥≓≎⪎⋱⫍1167))","cot":[{"info":"⪎⋱⫍3114⨐⩸⫘⪎⋱⫍1005=NaN","layer":3},{"info":"⪎⋱⫍76A≹⇙⪍⪎⋱⫍2100=NaN","layer":3},{"info":"NaN*NaN=NaN","layer":2},{"info":"↯⪼NaN=⪎⋱⫍-18","layer":1},{"info":"⪎⋱⫍AB9⋥≓≎⪎⋱⫍1167=⪎⋱⫍153C","layer":3},{"info":"⇁⨣⪵⪎⋱⫍153C=NaN","layer":2},{"info":"≉NaN=NaN","layer":1},{"info":"⪎⋱⫍-18%NaN=NaN","layer":0}]}
{"id":756,"expression_no_base_symbol":"($6235$↬$4990$)⪢(⇁⨣⪵$4302$)↺$1081$≹⇙⪍$1111$≧⫂∧($5079$*$2087$)-(↔($1092$⨵⪆$4522$+$1661$⩨$1014$))","expression":"(⪎⋱⫍2AB8↬⪎⋱⫍236B)⪢(⇁⨣⪵⪎⋱⫍1C5C)↺⪎⋱⫍652≹⇙⪍⪎⋱⫍676≧⫂∧(⪎⋱⫍2409*⪎⋱⫍C47)-(↔(⪎⋱⫍660⨵⪆⪎⋱⫍209B+⪎⋱⫍9AA⩨⪎⋱⫍600))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2108,"operation_count":12,"complexity_ratio":175.66666666666666,"tree":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":6235,"base":13},"right_expr":{"type":"numeric_atoms","value":4990,"base":13}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":4302,"base":13}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1081,"base":13},"right_expr":{"type":"numeric_atoms","value":1111,"base":13}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":5079,"base":13},"right_expr":{"type":"numeric_atoms","value":2087,"base":13}}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1092,"base":13},"right_expr":{"type":"numeric_atoms","value":4522,"base":13}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1661,"base":13},"right_expr":{"type":"numeric_atoms","value":1014,"base":13}}}}},"used_operators":["rysDP5nf3Z","7j4O788W3g","dWAJyo7jo9","B5M0gjZbta","inkyxCbjAn","Ph9nP6C5qx","AHs5Up7iyr","9HNa5Wba9A","ruOEQAzv1W","W4YGzv6Whe","2DQ55sFlQl","2DlMacCsIx"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","rGHVDoGpnC","B5M0gjZbta","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","W4YGzv6Whe","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"⪎⋱⫍227158A","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=6235","layer":4},{"info":"number node, value=4990","layer":4},{"info":"compute binary expreesion, left_input=6235, right_input=4990, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=4302","layer":4},{"info":"compute unary expreesion, input=4302, 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 = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=1081","layer":4},{"info":"number node, value=1111","layer":4},{"info":"compute binary expreesion, left_input=1081, right_input=1111, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=5079","layer":4},{"info":"number node, value=2087","layer":4},{"info":"compute binary expreesion, left_input=5079, right_input=2087, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=10599873","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=10599873, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=10599400","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=10599400, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=10599400","layer":1},{"info":"number node, value=1092","layer":4},{"info":"number node, value=4522","layer":4},{"info":"compute binary expreesion, left_input=1092, right_input=4522, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=1661","layer":4},{"info":"number node, value=1014","layer":4},{"info":"compute binary expreesion, left_input=1661, right_input=1014, 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=160, right_input=0, op_id = W4YGzv6Whe binary_op_definition= 'None', 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=10599400, right_input=113, op_id = rysDP5nf3Z binary_op_definition= 'None', output=10599287","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍2AB8↬⪎⋱⫍236B)⪢(⇁⨣⪵⪎⋱⫍1C5C)↺⪎⋱⫍652≹⇙⪍⪎⋱⫍676≧⫂∧(⪎⋱⫍2409*⪎⋱⫍C47)-(↔(⪎⋱⫍660⨵⪆⪎⋱⫍209B+⪎⋱⫍9AA⩨⪎⋱⫍600))=⪎⋱⫍227158A","reverse_text":"⪎⋱⫍227158A=(⪎⋱⫍2AB8↬⪎⋱⫍236B)⪢(⇁⨣⪵⪎⋱⫍1C5C)↺⪎⋱⫍652≹⇙⪍⪎⋱⫍676≧⫂∧(⪎⋱⫍2409*⪎⋱⫍C47)-(↔(⪎⋱⫍660⨵⪆⪎⋱⫍209B+⪎⋱⫍9AA⩨⪎⋱⫍600))","cot":[{"info":"⪎⋱⫍2AB8↬⪎⋱⫍236B=NaN","layer":3},{"info":"⇁⨣⪵⪎⋱⫍1C5C=NaN","layer":3},{"info":"NaN⪢NaN=NaN","layer":2},{"info":"⪎⋱⫍652≹⇙⪍⪎⋱⫍676=NaN","layer":3},{"info":"⪎⋱⫍2409*⪎⋱⫍C47=⪎⋱⫍227191B","layer":3},{"info":"NaN≧⫂∧⪎⋱⫍227191B=⪎⋱⫍2271646","layer":2},{"info":"NaN↺⪎⋱⫍2271646=⪎⋱⫍2271646","layer":1},{"info":"⪎⋱⫍660⨵⪆⪎⋱⫍209B=⪎⋱⫍C4","layer":3},{"info":"⪎⋱⫍9AA⩨⪎⋱⫍600=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍C4+⪎⋱⫍0=⪎⋱⫍C4","layer":2},{"info":"↔⪎⋱⫍C4=⪎⋱⫍89","layer":1},{"info":"⪎⋱⫍2271646-⪎⋱⫍89=⪎⋱⫍227158A","layer":0}]}
{"id":757,"expression_no_base_symbol":"((($7217$↪⪝)%(≤/$5746$))↺$2278$≧⫂∧$1939$⩚⊴⇥($1226$⩨$7792$))⨰(($1707$⩨$4877$)∼(-$2668$)⫸⊐((↩$5744$)⪨≂(⫛⫱⨽$1071$)))","expression":"(((⪎⋱⫍3392↪⪝)%(≤/⪎⋱⫍2800))↺⪎⋱⫍1063≧⫂∧⪎⋱⫍B62⩚⊴⇥(⪎⋱⫍734⩨⪎⋱⫍3715))⨰((⪎⋱⫍A14⩨⪎⋱⫍22B2)∼(-⪎⋱⫍12A3)⫸⊐((↩⪎⋱⫍27CB)⪨≂(⫛⫱⨽⪎⋱⫍645)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":86091,"operation_count":15,"complexity_ratio":5739.4,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":7217,"base":13}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":5746,"base":13}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2278,"base":13},"right_expr":{"type":"numeric_atoms","value":1939,"base":13}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1226,"base":13},"right_expr":{"type":"numeric_atoms","value":7792,"base":13}}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1707,"base":13},"right_expr":{"type":"numeric_atoms","value":4877,"base":13}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":2668,"base":13}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":5744,"base":13}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":1071,"base":13}}}}},"used_operators":["eewbuw0ToL","7j4O788W3g","k8jYdgA6NY","l07mrZUIn9","eLAdDNolq6","NTOWxs364D","Ph9nP6C5qx","2DlMacCsIx","mqXw5SEYmG","DyGG3AbaNP","t8gj7n24qd","sdazOOVcIp","jLgFTUHLKL","DlLNRPXxWL"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","9HNa5Wba9A","2DDjHMKMc0","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=7217","layer":4},{"info":"compute unary expreesion, input=7217, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=441550494","layer":3},{"info":"number node, value=5746","layer":4},{"info":"compute unary expreesion, input=5746, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-5262","layer":3},{"info":"compute binary expreesion, left_input=441550494, right_input=-5262, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-4974","layer":2},{"info":"number node, value=2278","layer":4},{"info":"number node, value=1939","layer":4},{"info":"compute binary expreesion, left_input=2278, right_input=1939, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1466","layer":3},{"info":"number node, value=1226","layer":4},{"info":"number node, value=7792","layer":4},{"info":"compute binary expreesion, left_input=1226, right_input=7792, 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=1466, right_input=-18, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-1569","layer":2},{"info":"compute binary expreesion, left_input=-4974, right_input=-1569, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-1569","layer":1},{"info":"number node, value=1707","layer":4},{"info":"number node, value=4877","layer":4},{"info":"compute binary expreesion, left_input=1707, right_input=4877, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-6","layer":3},{"info":"number node, value=2668","layer":4},{"info":"compute unary expreesion, input=2668, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-2668","layer":3},{"info":"compute binary expreesion, left_input=-6, right_input=-2668, 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=5744","layer":4},{"info":"compute unary expreesion, input=5744, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-43172","layer":3},{"info":"number node, value=1071","layer":4},{"info":"compute unary expreesion, input=1071, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-43172, 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=-86242","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-86242, 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=-1569, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(((⪎⋱⫍3392↪⪝)%(≤/⪎⋱⫍2800))↺⪎⋱⫍1063≧⫂∧⪎⋱⫍B62⩚⊴⇥(⪎⋱⫍734⩨⪎⋱⫍3715))⨰((⪎⋱⫍A14⩨⪎⋱⫍22B2)∼(-⪎⋱⫍12A3)⫸⊐((↩⪎⋱⫍27CB)⪨≂(⫛⫱⨽⪎⋱⫍645)))=NaN","reverse_text":"NaN=(((⪎⋱⫍3392↪⪝)%(≤/⪎⋱⫍2800))↺⪎⋱⫍1063≧⫂∧⪎⋱⫍B62⩚⊴⇥(⪎⋱⫍734⩨⪎⋱⫍3715))⨰((⪎⋱⫍A14⩨⪎⋱⫍22B2)∼(-⪎⋱⫍12A3)⫸⊐((↩⪎⋱⫍27CB)⪨≂(⫛⫱⨽⪎⋱⫍645)))","cot":[{"info":"⪎⋱⫍3392↪⪝=⪎⋱⫍7062BAA8","layer":3},{"info":"≤/⪎⋱⫍2800=⪎⋱⫍-251A","layer":3},{"info":"⪎⋱⫍7062BAA8%⪎⋱⫍-251A=⪎⋱⫍-2358","layer":2},{"info":"⪎⋱⫍1063≧⫂∧⪎⋱⫍B62=⪎⋱⫍88A","layer":3},{"info":"⪎⋱⫍734⩨⪎⋱⫍3715=⪎⋱⫍-15","layer":3},{"info":"⪎⋱⫍88A⩚⊴⇥⪎⋱⫍-15=⪎⋱⫍-939","layer":2},{"info":"⪎⋱⫍-2358↺⪎⋱⫍-939=⪎⋱⫍-939","layer":1},{"info":"⪎⋱⫍A14⩨⪎⋱⫍22B2=⪎⋱⫍-6","layer":3},{"info":"-⪎⋱⫍12A3=⪎⋱⫍-12A3","layer":3},{"info":"⪎⋱⫍-6∼⪎⋱⫍-12A3=NaN","layer":2},{"info":"↩⪎⋱⫍27CB=⪎⋱⫍-1685C","layer":3},{"info":"⫛⫱⨽⪎⋱⫍645=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍-1685C⪨≂⪎⋱⫍0=⪎⋱⫍-30340","layer":2},{"info":"NaN⫸⊐⪎⋱⫍-30340=NaN","layer":1},{"info":"⪎⋱⫍-939⨰NaN=NaN","layer":0}]}
{"id":758,"expression_no_base_symbol":"(⊙↵-(⨈⫕($3010$⋷$2251$)))⨳⩥⨓(↩(⊄⩳↩$2194$)+⇶⊼$3048$⊴$1476$)","expression":"(⊙↵-(⨈⫕(⪎⋱⫍14A7⋷⪎⋱⫍1042)))⨳⩥⨓(↩(⊄⩳↩⪎⋱⫍CCA)+⇶⊼⪎⋱⫍1506⊴⪎⋱⫍897)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2142,"operation_count":8,"complexity_ratio":267.75,"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":3010,"base":13},"right_expr":{"type":"numeric_atoms","value":2251,"base":13}}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":2194,"base":13}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":3048,"base":13},"right_expr":{"type":"numeric_atoms","value":1476,"base":13}}}}},"used_operators":["nCS4ZIUYfx","oWn0xqSxBt","megm06wKyl","23Mk6UjR3U","jLgFTUHLKL","TpPTUOHfaN","8w2t5hMYqp","Nsiff2A1zJ"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3010","layer":4},{"info":"number node, value=2251","layer":4},{"info":"compute binary expreesion, left_input=3010, right_input=2251, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=1492","layer":3},{"info":"compute unary expreesion, input=1492, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":2},{"info":"compute unary expreesion, input=-21, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=0","layer":1},{"info":"number node, value=2194","layer":4},{"info":"compute unary expreesion, input=2194, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-6582","layer":3},{"info":"number node, value=3048","layer":4},{"info":"number node, value=1476","layer":4},{"info":"compute binary expreesion, left_input=3048, right_input=1476, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-6582, right_input=nan, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 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=0, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⊙↵-(⨈⫕(⪎⋱⫍14A7⋷⪎⋱⫍1042)))⨳⩥⨓(↩(⊄⩳↩⪎⋱⫍CCA)+⇶⊼⪎⋱⫍1506⊴⪎⋱⫍897)=NaN","reverse_text":"NaN=(⊙↵-(⨈⫕(⪎⋱⫍14A7⋷⪎⋱⫍1042)))⨳⩥⨓(↩(⊄⩳↩⪎⋱⫍CCA)+⇶⊼⪎⋱⫍1506⊴⪎⋱⫍897)","cot":[{"info":"⪎⋱⫍14A7⋷⪎⋱⫍1042=⪎⋱⫍8AA","layer":3},{"info":"⨈⫕⪎⋱⫍8AA=⪎⋱⫍-18","layer":2},{"info":"⊙↵-⪎⋱⫍-18=⪎⋱⫍0","layer":1},{"info":"⊄⩳↩⪎⋱⫍CCA=⪎⋱⫍-2CC4","layer":3},{"info":"⪎⋱⫍1506⊴⪎⋱⫍897=NaN","layer":3},{"info":"⪎⋱⫍-2CC4+⇶⊼NaN=NaN","layer":2},{"info":"↩NaN=NaN","layer":1},{"info":"⪎⋱⫍0⨳⩥⨓NaN=NaN","layer":0}]}
{"id":759,"expression_no_base_symbol":"⨵≀≌($1676$∑⇟⊟$2761$⋓($1492$≧⫂∧$2305$)⋷$7361$⇷$6721$≭($7717$⫡⨏$1715$))","expression":"⨵≀≌(⪎⋱⫍9BC∑⇟⊟⪎⋱⫍1345⋓(⪎⋱⫍8AA≧⫂∧⪎⋱⫍1084)⋷⪎⋱⫍3473⇷⪎⋱⫍30A0≭(⪎⋱⫍3688⫡⨏⪎⋱⫍A1C))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":103091,"operation_count":8,"complexity_ratio":12886.375,"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":1676,"base":13},"right_expr":{"type":"numeric_atoms","value":2761,"base":13}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1492,"base":13},"right_expr":{"type":"numeric_atoms","value":2305,"base":13}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":7361,"base":13},"right_expr":{"type":"numeric_atoms","value":6721,"base":13}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":7717,"base":13},"right_expr":{"type":"numeric_atoms","value":1715,"base":13}}}}},"used_operators":["srAu1WTS94","23Mk6UjR3U","T2fj7uvVaJ","U7g4x0WXJJ","Ph9nP6C5qx","rxpJgHHUmx","mp7IySMOzn","QMFrweE19q"],"dependent_operators":["glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1676","layer":4},{"info":"number node, value=2761","layer":4},{"info":"compute binary expreesion, left_input=1676, right_input=2761, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=1492","layer":4},{"info":"number node, value=2305","layer":4},{"info":"compute binary expreesion, left_input=1492, right_input=2305, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1832","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1832, op_id = T2fj7uvVaJ binary_op_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=7361","layer":4},{"info":"number node, value=6721","layer":4},{"info":"compute binary expreesion, left_input=7361, right_input=6721, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=13442","layer":3},{"info":"number node, value=7717","layer":4},{"info":"number node, value=1715","layer":4},{"info":"compute binary expreesion, left_input=7717, right_input=1715, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=42798","layer":3},{"info":"compute binary expreesion, left_input=13442, right_input=42798, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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 = 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 = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=0","layer":0}],"base":13,"result_base":13,"text":"⨵≀≌(⪎⋱⫍9BC∑⇟⊟⪎⋱⫍1345⋓(⪎⋱⫍8AA≧⫂∧⪎⋱⫍1084)⋷⪎⋱⫍3473⇷⪎⋱⫍30A0≭(⪎⋱⫍3688⫡⨏⪎⋱⫍A1C))=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=⨵≀≌(⪎⋱⫍9BC∑⇟⊟⪎⋱⫍1345⋓(⪎⋱⫍8AA≧⫂∧⪎⋱⫍1084)⋷⪎⋱⫍3473⇷⪎⋱⫍30A0≭(⪎⋱⫍3688⫡⨏⪎⋱⫍A1C))","cot":[{"info":"⪎⋱⫍9BC∑⇟⊟⪎⋱⫍1345=NaN","layer":3},{"info":"⪎⋱⫍8AA≧⫂∧⪎⋱⫍1084=⪎⋱⫍AAC","layer":3},{"info":"NaN⋓⪎⋱⫍AAC=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍3473⇷⪎⋱⫍30A0=⪎⋱⫍6170","layer":3},{"info":"⪎⋱⫍3688⫡⨏⪎⋱⫍A1C=⪎⋱⫍16632","layer":3},{"info":"⪎⋱⫍6170≭⪎⋱⫍16632=NaN","layer":2},{"info":"⪎⋱⫍0⋷NaN=⪎⋱⫍0","layer":1},{"info":"⨵≀≌⪎⋱⫍0=⪎⋱⫍0","layer":0}]}
{"id":760,"expression_no_base_symbol":"(≦∁(⨈⫕$1317$)⨽$4013$⪢$3783$)/($2838$-$3837$⨵⪆$5402$⩨$6218$)⪘⫢($2364$⨐⩸⫘$2486$⪒($5226$⪠⩆⊳))","expression":"(≦∁(⨈⫕⪎⋱⫍7A4)⨽⪎⋱⫍1A99⪢⪎⋱⫍1950)/(⪎⋱⫍13A4-⪎⋱⫍1992⨵⪆⪎⋱⫍25C7⩨⪎⋱⫍2AA4)⪘⫢(⪎⋱⫍10CB⨐⩸⫘⪎⋱⫍1193⪒(⪎⋱⫍24C0⪠⩆⊳))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":14130,"operation_count":12,"complexity_ratio":1177.5,"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":1317,"base":13}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":4013,"base":13},"right_expr":{"type":"numeric_atoms","value":3783,"base":13}}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2838,"base":13},"right_expr":{"type":"numeric_atoms","value":3837,"base":13}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":5402,"base":13},"right_expr":{"type":"numeric_atoms","value":6218,"base":13}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2364,"base":13},"right_expr":{"type":"numeric_atoms","value":2486,"base":13}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":5226,"base":13}}}}},"used_operators":["XhwjNDsVaA","9ICcGScMcE","8HhzD0ZcuI","megm06wKyl","dWAJyo7jo9","oacrs7FA3X","2DQ55sFlQl","rysDP5nf3Z","2DlMacCsIx","f6k1SAg4EE","fu6greOZ01","JLbD19bQDL"],"dependent_operators":["rysDP5nf3Z","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","k8jYdgA6NY","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1317","layer":4},{"info":"compute unary expreesion, input=1317, 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=4013","layer":4},{"info":"number node, value=3783","layer":4},{"info":"compute binary expreesion, left_input=4013, right_input=3783, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=-21, 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 = 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=2838","layer":4},{"info":"number node, value=3837","layer":4},{"info":"compute binary expreesion, left_input=2838, right_input=3837, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-999","layer":3},{"info":"number node, value=5402","layer":4},{"info":"number node, value=6218","layer":4},{"info":"compute binary expreesion, left_input=5402, right_input=6218, 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=-999, right_input=-3, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=2364","layer":4},{"info":"number node, value=2486","layer":4},{"info":"compute binary expreesion, left_input=2364, 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":3},{"info":"number node, value=5226","layer":4},{"info":"compute unary expreesion, input=5226, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":0}],"base":13,"result_base":13,"text":"(≦∁(⨈⫕⪎⋱⫍7A4)⨽⪎⋱⫍1A99⪢⪎⋱⫍1950)/(⪎⋱⫍13A4-⪎⋱⫍1992⨵⪆⪎⋱⫍25C7⩨⪎⋱⫍2AA4)⪘⫢(⪎⋱⫍10CB⨐⩸⫘⪎⋱⫍1193⪒(⪎⋱⫍24C0⪠⩆⊳))=NaN","reverse_text":"NaN=(≦∁(⨈⫕⪎⋱⫍7A4)⨽⪎⋱⫍1A99⪢⪎⋱⫍1950)/(⪎⋱⫍13A4-⪎⋱⫍1992⨵⪆⪎⋱⫍25C7⩨⪎⋱⫍2AA4)⪘⫢(⪎⋱⫍10CB⨐⩸⫘⪎⋱⫍1193⪒(⪎⋱⫍24C0⪠⩆⊳))","cot":[{"info":"⨈⫕⪎⋱⫍7A4=⪎⋱⫍-18","layer":3},{"info":"⪎⋱⫍1A99⪢⪎⋱⫍1950=NaN","layer":3},{"info":"⪎⋱⫍-18⨽NaN=NaN","layer":2},{"info":"≦∁NaN=NaN","layer":1},{"info":"⪎⋱⫍13A4-⪎⋱⫍1992=⪎⋱⫍-5BB","layer":3},{"info":"⪎⋱⫍25C7⩨⪎⋱⫍2AA4=⪎⋱⫍-3","layer":3},{"info":"⪎⋱⫍-5BB⨵⪆⪎⋱⫍-3=⪎⋱⫍C4","layer":2},{"info":"⪎⋱⫍10CB⨐⩸⫘⪎⋱⫍1193=NaN","layer":3},{"info":"⪎⋱⫍24C0⪠⩆⊳=⪎⋱⫍0","layer":3},{"info":"NaN⪒⪎⋱⫍0=NaN","layer":2},{"info":"⪎⋱⫍C4⪘⫢NaN=NaN","layer":1},{"info":"NaN/NaN=NaN","layer":0}]}
{"id":761,"expression_no_base_symbol":"($2195$≧⫂∧$2843$%(↯⪼$3076$)⪨≂(⪝⪂⫅$4099$)↬($2876$⇼⇔∾$4492$))∸","expression":"(⪎⋱⫍CCB≧⫂∧⪎⋱⫍13A9%(↯⪼⪎⋱⫍1528)⪨≂(⪝⪂⫅⪎⋱⫍1B34)↬(⪎⋱⫍1403⇼⇔∾⪎⋱⫍2077))∸","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":479,"operation_count":8,"complexity_ratio":59.875,"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":2195,"base":13},"right_expr":{"type":"numeric_atoms","value":2843,"base":13}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":3076,"base":13}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":4099,"base":13}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2876,"base":13},"right_expr":{"type":"numeric_atoms","value":4492,"base":13}}}}},"used_operators":["o20kRiQErp","sdazOOVcIp","k8jYdgA6NY","Ph9nP6C5qx","8jW3W4yZS5","B5M0gjZbta","XTarYq4gQB","tifHPKVTfV"],"dependent_operators":["tmPS8pqC7x","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rGHVDoGpnC","9HNa5Wba9A","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍108","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2195","layer":4},{"info":"number node, value=2843","layer":4},{"info":"compute binary expreesion, left_input=2195, right_input=2843, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2370","layer":3},{"info":"number node, value=3076","layer":4},{"info":"compute unary expreesion, input=3076, 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=2370, right_input=-21, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-3","layer":2},{"info":"number node, value=4099","layer":4},{"info":"compute unary expreesion, input=4099, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-602553","layer":3},{"info":"number node, value=2876","layer":4},{"info":"number node, value=4492","layer":4},{"info":"compute binary expreesion, left_input=2876, right_input=4492, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1616","layer":3},{"info":"compute binary expreesion, left_input=-602553, right_input=1616, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=-3, right_input=nan, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍CCB≧⫂∧⪎⋱⫍13A9%(↯⪼⪎⋱⫍1528)⪨≂(⪝⪂⫅⪎⋱⫍1B34)↬(⪎⋱⫍1403⇼⇔∾⪎⋱⫍2077))∸=⪎⋱⫍108","reverse_text":"⪎⋱⫍108=(⪎⋱⫍CCB≧⫂∧⪎⋱⫍13A9%(↯⪼⪎⋱⫍1528)⪨≂(⪝⪂⫅⪎⋱⫍1B34)↬(⪎⋱⫍1403⇼⇔∾⪎⋱⫍2077))∸","cot":[{"info":"⪎⋱⫍CCB≧⫂∧⪎⋱⫍13A9=⪎⋱⫍1104","layer":3},{"info":"↯⪼⪎⋱⫍1528=⪎⋱⫍-18","layer":3},{"info":"⪎⋱⫍1104%⪎⋱⫍-18=⪎⋱⫍-3","layer":2},{"info":"⪝⪂⫅⪎⋱⫍1B34=⪎⋱⫍-181353","layer":3},{"info":"⪎⋱⫍1403⇼⇔∾⪎⋱⫍2077=⪎⋱⫍974","layer":3},{"info":"⪎⋱⫍-181353↬⪎⋱⫍974=NaN","layer":2},{"info":"⪎⋱⫍-3⪨≂NaN=NaN","layer":1},{"info":"NaN∸=⪎⋱⫍108","layer":0}]}
{"id":762,"expression_no_base_symbol":"(⊄⩳↩($5456$/$1069$))-$1770$⨓$2335$⪄$2953$⨽$2515$⨵⪆($1944$⨸⪁$2960$)≭($7130$⊭↱$2770$)≭($2177$∑⇟⊟$3751$)∀⇚≩($1885$+$3182$)","expression":"(⊄⩳↩(⪎⋱⫍2639/⪎⋱⫍643))-⪎⋱⫍A62⨓⪎⋱⫍10A8⪄⪎⋱⫍1462⨽⪎⋱⫍11B6⨵⪆(⪎⋱⫍B67⨸⪁⪎⋱⫍1469)≭(⪎⋱⫍3326⊭↱⪎⋱⫍1351)≭(⪎⋱⫍CB6∑⇟⊟⪎⋱⫍1927)∀⇚≩(⪎⋱⫍B20+⪎⋱⫍15AA)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":5419,"operation_count":14,"complexity_ratio":387.07142857142856,"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":5456,"base":13},"right_expr":{"type":"numeric_atoms","value":1069,"base":13}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1770,"base":13},"right_expr":{"type":"numeric_atoms","value":2335,"base":13}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2953,"base":13},"right_expr":{"type":"numeric_atoms","value":2515,"base":13}}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1944,"base":13},"right_expr":{"type":"numeric_atoms","value":2960,"base":13}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":7130,"base":13},"right_expr":{"type":"numeric_atoms","value":2770,"base":13}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":2177,"base":13},"right_expr":{"type":"numeric_atoms","value":3751,"base":13}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1885,"base":13},"right_expr":{"type":"numeric_atoms","value":3182,"base":13}}}}},"used_operators":["2DQ55sFlQl","rysDP5nf3Z","8w2t5hMYqp","XhwjNDsVaA","SUmda5xLS4","3ViojmjbAp","8HhzD0ZcuI","rxpJgHHUmx","g55IO6H4Gj","COABgblf1C","LRNGc0VcxI","U7g4x0WXJJ","W4YGzv6Whe"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","AHs5Up7iyr","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"⪎⋱⫍C4","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5456","layer":4},{"info":"number node, value=1069","layer":4},{"info":"compute binary expreesion, left_input=5456, right_input=1069, op_id = XhwjNDsVaA binary_op_definition= 'None', output=5","layer":3},{"info":"compute unary expreesion, input=5, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-15","layer":2},{"info":"number node, value=1770","layer":4},{"info":"number node, value=2335","layer":4},{"info":"compute binary expreesion, left_input=1770, right_input=2335, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2338","layer":3},{"info":"number node, value=2953","layer":4},{"info":"number node, value=2515","layer":4},{"info":"compute binary expreesion, left_input=2953, right_input=2515, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-26166858","layer":3},{"info":"compute binary expreesion, left_input=-2338, right_input=-26166858, 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=-15, right_input=3979, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-3994","layer":1},{"info":"number node, value=1944","layer":4},{"info":"number node, value=2960","layer":4},{"info":"compute binary expreesion, left_input=1944, right_input=2960, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=9808","layer":3},{"info":"number node, value=7130","layer":4},{"info":"number node, value=2770","layer":4},{"info":"compute binary expreesion, left_input=7130, right_input=2770, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-8715","layer":3},{"info":"compute binary expreesion, left_input=9808, right_input=-8715, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=2177","layer":4},{"info":"number node, value=3751","layer":4},{"info":"compute binary expreesion, left_input=2177, right_input=3751, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=1885","layer":4},{"info":"number node, value=3182","layer":4},{"info":"compute binary expreesion, left_input=1885, right_input=3182, op_id = W4YGzv6Whe binary_op_definition= 'None', output=5067","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5067, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=-3994, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":13,"result_base":13,"text":"(⊄⩳↩(⪎⋱⫍2639/⪎⋱⫍643))-⪎⋱⫍A62⨓⪎⋱⫍10A8⪄⪎⋱⫍1462⨽⪎⋱⫍11B6⨵⪆(⪎⋱⫍B67⨸⪁⪎⋱⫍1469)≭(⪎⋱⫍3326⊭↱⪎⋱⫍1351)≭(⪎⋱⫍CB6∑⇟⊟⪎⋱⫍1927)∀⇚≩(⪎⋱⫍B20+⪎⋱⫍15AA)=⪎⋱⫍C4","reverse_text":"⪎⋱⫍C4=(⊄⩳↩(⪎⋱⫍2639/⪎⋱⫍643))-⪎⋱⫍A62⨓⪎⋱⫍10A8⪄⪎⋱⫍1462⨽⪎⋱⫍11B6⨵⪆(⪎⋱⫍B67⨸⪁⪎⋱⫍1469)≭(⪎⋱⫍3326⊭↱⪎⋱⫍1351)≭(⪎⋱⫍CB6∑⇟⊟⪎⋱⫍1927)∀⇚≩(⪎⋱⫍B20+⪎⋱⫍15AA)","cot":[{"info":"⪎⋱⫍2639/⪎⋱⫍643=⪎⋱⫍5","layer":3},{"info":"⊄⩳↩⪎⋱⫍5=⪎⋱⫍-12","layer":2},{"info":"⪎⋱⫍A62⨓⪎⋱⫍10A8=⪎⋱⫍-10AB","layer":3},{"info":"⪎⋱⫍1462⨽⪎⋱⫍11B6=⪎⋱⫍-5562363","layer":3},{"info":"⪎⋱⫍-10AB⪄⪎⋱⫍-5562363=⪎⋱⫍1A71","layer":2},{"info":"⪎⋱⫍-12-⪎⋱⫍1A71=⪎⋱⫍-1A83","layer":1},{"info":"⪎⋱⫍B67⨸⪁⪎⋱⫍1469=⪎⋱⫍4606","layer":3},{"info":"⪎⋱⫍3326⊭↱⪎⋱⫍1351=⪎⋱⫍-3C75","layer":3},{"info":"⪎⋱⫍4606≭⪎⋱⫍-3C75=NaN","layer":2},{"info":"⪎⋱⫍CB6∑⇟⊟⪎⋱⫍1927=NaN","layer":3},{"info":"⪎⋱⫍B20+⪎⋱⫍15AA=⪎⋱⫍23CA","layer":3},{"info":"NaN∀⇚≩⪎⋱⫍23CA=NaN","layer":2},{"info":"NaN≭NaN=NaN","layer":1},{"info":"⪎⋱⫍-1A83⨵⪆NaN=⪎⋱⫍C4","layer":0}]}
{"id":763,"expression_no_base_symbol":"(($4941$≧⫂∧$1248$)≹⇙⪍($1511$⫸⊐$2728$)≫≃)⪨≂(($1687$∲⫓$6334$)↬($1368$⪒$2145$)⨵⪆($8699$⊪)⋓($3377$⨎$1099$))","expression":"((⪎⋱⫍2331≧⫂∧⪎⋱⫍750)≹⇙⪍(⪎⋱⫍8C3⫸⊐⪎⋱⫍131B)≫≃)⪨≂((⪎⋱⫍9CA∲⫓⪎⋱⫍2B63)↬(⪎⋱⫍813⪒⪎⋱⫍C90)⨵⪆(⪎⋱⫍3C62⊪)⋓(⪎⋱⫍16CA⨎⪎⋱⫍667))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":92,"operation_count":12,"complexity_ratio":7.666666666666667,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":4941,"base":13},"right_expr":{"type":"numeric_atoms","value":1248,"base":13}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1511,"base":13},"right_expr":{"type":"numeric_atoms","value":2728,"base":13}}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1687,"base":13},"right_expr":{"type":"numeric_atoms","value":6334,"base":13}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1368,"base":13},"right_expr":{"type":"numeric_atoms","value":2145,"base":13}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":8699,"base":13}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":3377,"base":13},"right_expr":{"type":"numeric_atoms","value":1099,"base":13}}}}},"used_operators":["sdazOOVcIp","X99M06cbEe","AHs5Up7iyr","Ph9nP6C5qx","mqXw5SEYmG","2DQ55sFlQl","B5M0gjZbta","i8ToyICDmI","f6k1SAg4EE","T2fj7uvVaJ","zVYPLywUTj","rJVOvQCfKK"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4941","layer":4},{"info":"number node, value=1248","layer":4},{"info":"compute binary expreesion, left_input=4941, 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=1511","layer":4},{"info":"number node, value=2728","layer":4},{"info":"compute binary expreesion, left_input=1511, right_input=2728, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=10787","layer":3},{"info":"compute binary expreesion, left_input=775, right_input=10787, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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":"number node, value=1687","layer":4},{"info":"number node, value=6334","layer":4},{"info":"compute binary expreesion, left_input=1687, right_input=6334, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=1368","layer":4},{"info":"number node, value=2145","layer":4},{"info":"compute binary expreesion, left_input=1368, right_input=2145, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-3513","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-3513, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=-3513","layer":2},{"info":"number node, value=8699","layer":4},{"info":"compute unary expreesion, input=8699, 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=3377","layer":4},{"info":"number node, value=1099","layer":4},{"info":"compute binary expreesion, left_input=3377, right_input=1099, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1099","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1099, op_id = T2fj7uvVaJ binary_op_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=-3513, right_input=0, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"compute binary expreesion, left_input=nan, 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=nan","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍2331≧⫂∧⪎⋱⫍750)≹⇙⪍(⪎⋱⫍8C3⫸⊐⪎⋱⫍131B)≫≃)⪨≂((⪎⋱⫍9CA∲⫓⪎⋱⫍2B63)↬(⪎⋱⫍813⪒⪎⋱⫍C90)⨵⪆(⪎⋱⫍3C62⊪)⋓(⪎⋱⫍16CA⨎⪎⋱⫍667))=NaN","reverse_text":"NaN=((⪎⋱⫍2331≧⫂∧⪎⋱⫍750)≹⇙⪍(⪎⋱⫍8C3⫸⊐⪎⋱⫍131B)≫≃)⪨≂((⪎⋱⫍9CA∲⫓⪎⋱⫍2B63)↬(⪎⋱⫍813⪒⪎⋱⫍C90)⨵⪆(⪎⋱⫍3C62⊪)⋓(⪎⋱⫍16CA⨎⪎⋱⫍667))","cot":[{"info":"⪎⋱⫍2331≧⫂∧⪎⋱⫍750=⪎⋱⫍478","layer":3},{"info":"⪎⋱⫍8C3⫸⊐⪎⋱⫍131B=⪎⋱⫍4BAA","layer":3},{"info":"⪎⋱⫍478≹⇙⪍⪎⋱⫍4BAA=NaN","layer":2},{"info":"NaN≫≃=NaN","layer":1},{"info":"⪎⋱⫍9CA∲⫓⪎⋱⫍2B63=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍813⪒⪎⋱⫍C90=⪎⋱⫍-17A3","layer":3},{"info":"⪎⋱⫍0↬⪎⋱⫍-17A3=⪎⋱⫍-17A3","layer":2},{"info":"⪎⋱⫍3C62⊪=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍16CA⨎⪎⋱⫍667=⪎⋱⫍667","layer":3},{"info":"⪎⋱⫍0⋓⪎⋱⫍667=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍-17A3⨵⪆⪎⋱⫍0=⪎⋱⫍C4","layer":1},{"info":"NaN⪨≂⪎⋱⫍C4=NaN","layer":0}]}
{"id":764,"expression_no_base_symbol":"(⊙↵-(($3110$∲⫓$8392$)↙$1300$⨪↰⇹$8514$))≫≃","expression":"(⊙↵-((⪎⋱⫍1553∲⫓⪎⋱⫍3A87)↙⪎⋱⫍790⨪↰⇹⪎⋱⫍3B4C))≫≃","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1337,"operation_count":5,"complexity_ratio":267.4,"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":3110,"base":13},"right_expr":{"type":"numeric_atoms","value":8392,"base":13}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1300,"base":13},"right_expr":{"type":"numeric_atoms","value":8514,"base":13}}}}},"used_operators":["X99M06cbEe","oWn0xqSxBt","yyfyN0ffXY","i8ToyICDmI","tmPS8pqC7x"],"dependent_operators":["2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK"],"result":"⪎⋱⫍83A","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3110","layer":4},{"info":"number node, value=8392","layer":4},{"info":"compute binary expreesion, left_input=3110, right_input=8392, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=1300","layer":4},{"info":"number node, value=8514","layer":4},{"info":"compute binary expreesion, left_input=1300, right_input=8514, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1300","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1300, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=1401","layer":0}],"base":13,"result_base":13,"text":"(⊙↵-((⪎⋱⫍1553∲⫓⪎⋱⫍3A87)↙⪎⋱⫍790⨪↰⇹⪎⋱⫍3B4C))≫≃=⪎⋱⫍83A","reverse_text":"⪎⋱⫍83A=(⊙↵-((⪎⋱⫍1553∲⫓⪎⋱⫍3A87)↙⪎⋱⫍790⨪↰⇹⪎⋱⫍3B4C))≫≃","cot":[{"info":"⪎⋱⫍1553∲⫓⪎⋱⫍3A87=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍790⨪↰⇹⪎⋱⫍3B4C=⪎⋱⫍790","layer":3},{"info":"⪎⋱⫍0↙⪎⋱⫍790=⪎⋱⫍0","layer":2},{"info":"⊙↵-⪎⋱⫍0=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍0≫≃=⪎⋱⫍83A","layer":0}]}
{"id":765,"expression_no_base_symbol":"((($6083$⪨≂$2531$)%($3471$≋⫹))⨎$2880$↬$4021$∑⇟⊟($1450$⋫))⊴(((↩$1233$)⫸⊐(⨑⩽⪐$1721$))+⇶⊼(↣≠⋷$1829$⊴$1817$))","expression":"(((⪎⋱⫍29CC⪨≂⪎⋱⫍11C9)%(⪎⋱⫍1770≋⫹))⨎⪎⋱⫍1407↬⪎⋱⫍1AA4∑⇟⊟(⪎⋱⫍877⋫))⊴(((↩⪎⋱⫍73B)⫸⊐(⨑⩽⪐⪎⋱⫍A25))+⇶⊼(↣≠⋷⪎⋱⫍AA9⊴⪎⋱⫍A9A))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":6119,"operation_count":14,"complexity_ratio":437.07142857142856,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":6083,"base":13},"right_expr":{"type":"numeric_atoms","value":2531,"base":13}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":3471,"base":13}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2880,"base":13},"right_expr":{"type":"numeric_atoms","value":4021,"base":13}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":1450,"base":13}}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":1233,"base":13}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":1721,"base":13}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1829,"base":13},"right_expr":{"type":"numeric_atoms","value":1817,"base":13}}}}},"used_operators":["Nsiff2A1zJ","rJVOvQCfKK","k8jYdgA6NY","sdazOOVcIp","N41Kp7NANJ","U7g4x0WXJJ","B5M0gjZbta","JL8yIekQnl","TpPTUOHfaN","mqXw5SEYmG","jLgFTUHLKL","AF7qkfDlqP","Asc51vEJeQ"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rGHVDoGpnC","tmPS8pqC7x","AHs5Up7iyr","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","XhwjNDsVaA","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=6083","layer":4},{"info":"number node, value=2531","layer":4},{"info":"compute binary expreesion, left_input=6083, right_input=2531, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=7206","layer":3},{"info":"number node, value=3471","layer":4},{"info":"compute unary expreesion, input=3471, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-6942","layer":3},{"info":"compute binary expreesion, left_input=7206, right_input=-6942, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-6678","layer":2},{"info":"number node, value=2880","layer":4},{"info":"number node, value=4021","layer":4},{"info":"compute binary expreesion, left_input=2880, right_input=4021, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=1450","layer":4},{"info":"compute unary expreesion, input=1450, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=1450","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1450, 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=-6678, 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=1233","layer":4},{"info":"compute unary expreesion, input=1233, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-7084","layer":3},{"info":"number node, value=1721","layer":4},{"info":"compute unary expreesion, input=1721, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-1448","layer":3},{"info":"compute binary expreesion, left_input=-7084, right_input=-1448, 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=1829","layer":4},{"info":"number node, value=1817","layer":4},{"info":"compute binary expreesion, left_input=1829, right_input=1817, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=968, 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 = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(((⪎⋱⫍29CC⪨≂⪎⋱⫍11C9)%(⪎⋱⫍1770≋⫹))⨎⪎⋱⫍1407↬⪎⋱⫍1AA4∑⇟⊟(⪎⋱⫍877⋫))⊴(((↩⪎⋱⫍73B)⫸⊐(⨑⩽⪐⪎⋱⫍A25))+⇶⊼(↣≠⋷⪎⋱⫍AA9⊴⪎⋱⫍A9A))=NaN","reverse_text":"NaN=(((⪎⋱⫍29CC⪨≂⪎⋱⫍11C9)%(⪎⋱⫍1770≋⫹))⨎⪎⋱⫍1407↬⪎⋱⫍1AA4∑⇟⊟(⪎⋱⫍877⋫))⊴(((↩⪎⋱⫍73B)⫸⊐(⨑⩽⪐⪎⋱⫍A25))+⇶⊼(↣≠⋷⪎⋱⫍AA9⊴⪎⋱⫍A9A))","cot":[{"info":"⪎⋱⫍29CC⪨≂⪎⋱⫍11C9=⪎⋱⫍3384","layer":3},{"info":"⪎⋱⫍1770≋⫹=⪎⋱⫍-3210","layer":3},{"info":"⪎⋱⫍3384%⪎⋱⫍-3210=⪎⋱⫍-3069","layer":2},{"info":"⪎⋱⫍1407↬⪎⋱⫍1AA4=NaN","layer":3},{"info":"⪎⋱⫍877⋫=⪎⋱⫍877","layer":3},{"info":"NaN∑⇟⊟⪎⋱⫍877=NaN","layer":2},{"info":"⪎⋱⫍-3069⨎NaN=NaN","layer":1},{"info":"↩⪎⋱⫍73B=⪎⋱⫍-32BC","layer":3},{"info":"⨑⩽⪐⪎⋱⫍A25=⪎⋱⫍-875","layer":3},{"info":"⪎⋱⫍-32BC⫸⊐⪎⋱⫍-875=⪎⋱⫍596","layer":2},{"info":"⪎⋱⫍AA9⊴⪎⋱⫍A9A=NaN","layer":3},{"info":"↣≠⋷NaN=NaN","layer":2},{"info":"⪎⋱⫍596+⇶⊼NaN=NaN","layer":1},{"info":"NaN⊴NaN=NaN","layer":0}]}
{"id":766,"expression_no_base_symbol":"$3374$⋥≓≎$1925$⫸⊐(≦∁$1163$)⫡⨏(⫓⪴$5233$⪢$2071$)+(⪲⇎$4265$⋝⋈⪟$1753$)⫸⊐($3529$⋓$3073$)⪛($7751$≎⊠⪸$7693$)","expression":"⪎⋱⫍16C7⋥≓≎⪎⋱⫍B51⫸⊐(≦∁⪎⋱⫍6B6)⫡⨏(⫓⪴⪎⋱⫍24C7⪢⪎⋱⫍C34)+(⪲⇎⪎⋱⫍1C31⋝⋈⪟⪎⋱⫍A4B)⫸⊐(⪎⋱⫍17B6⋓⪎⋱⫍1525)⪛(⪎⋱⫍36B3≎⊠⪸⪎⋱⫍366A)","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":8593,"operation_count":13,"complexity_ratio":661.0,"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":3374,"base":13},"right_expr":{"type":"numeric_atoms","value":1925,"base":13}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":1163,"base":13}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":5233,"base":13},"right_expr":{"type":"numeric_atoms","value":2071,"base":13}}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":4265,"base":13},"right_expr":{"type":"numeric_atoms","value":1753,"base":13}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":3529,"base":13},"right_expr":{"type":"numeric_atoms","value":3073,"base":13}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":7751,"base":13},"right_expr":{"type":"numeric_atoms","value":7693,"base":13}}}}},"used_operators":["W4YGzv6Whe","QMFrweE19q","mqXw5SEYmG","Qy55tPpLXF","9ICcGScMcE","eLxqMNBOBk","dWAJyo7jo9","XPYlsWDdGa","2DDjHMKMc0","uFcxV4UQCh","T2fj7uvVaJ","bJkvcejdHO"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","9HNa5Wba9A","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3374","layer":4},{"info":"number node, value=1925","layer":4},{"info":"compute binary expreesion, left_input=3374, right_input=1925, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=509","layer":3},{"info":"number node, value=1163","layer":4},{"info":"compute unary expreesion, input=1163, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1163","layer":3},{"info":"compute binary expreesion, left_input=509, right_input=1163, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=4527","layer":2},{"info":"number node, value=5233","layer":4},{"info":"number node, value=2071","layer":4},{"info":"compute binary expreesion, left_input=5233, right_input=2071, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=4527, right_input=nan, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":1},{"info":"number node, value=4265","layer":4},{"info":"number node, value=1753","layer":4},{"info":"compute binary expreesion, left_input=4265, right_input=1753, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=4265","layer":3},{"info":"compute unary expreesion, input=4265, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=8530","layer":2},{"info":"number node, value=3529","layer":4},{"info":"number node, value=3073","layer":4},{"info":"compute binary expreesion, left_input=3529, right_input=3073, op_id = T2fj7uvVaJ binary_op_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=7751","layer":4},{"info":"number node, value=7693","layer":4},{"info":"compute binary expreesion, left_input=7751, right_input=7693, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=2007036","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2007036, 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=8530, 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":"compute binary expreesion, left_input=nan, right_input=-125, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍16C7⋥≓≎⪎⋱⫍B51⫸⊐(≦∁⪎⋱⫍6B6)⫡⨏(⫓⪴⪎⋱⫍24C7⪢⪎⋱⫍C34)+(⪲⇎⪎⋱⫍1C31⋝⋈⪟⪎⋱⫍A4B)⫸⊐(⪎⋱⫍17B6⋓⪎⋱⫍1525)⪛(⪎⋱⫍36B3≎⊠⪸⪎⋱⫍366A)=NaN","reverse_text":"NaN=⪎⋱⫍16C7⋥≓≎⪎⋱⫍B51⫸⊐(≦∁⪎⋱⫍6B6)⫡⨏(⫓⪴⪎⋱⫍24C7⪢⪎⋱⫍C34)+(⪲⇎⪎⋱⫍1C31⋝⋈⪟⪎⋱⫍A4B)⫸⊐(⪎⋱⫍17B6⋓⪎⋱⫍1525)⪛(⪎⋱⫍36B3≎⊠⪸⪎⋱⫍366A)","cot":[{"info":"⪎⋱⫍16C7⋥≓≎⪎⋱⫍B51=⪎⋱⫍302","layer":3},{"info":"≦∁⪎⋱⫍6B6=⪎⋱⫍6B6","layer":3},{"info":"⪎⋱⫍302⫸⊐⪎⋱⫍6B6=⪎⋱⫍20A3","layer":2},{"info":"⪎⋱⫍24C7⪢⪎⋱⫍C34=NaN","layer":3},{"info":"⫓⪴NaN=NaN","layer":2},{"info":"⪎⋱⫍20A3⫡⨏NaN=NaN","layer":1},{"info":"⪎⋱⫍1C31⋝⋈⪟⪎⋱⫍A4B=⪎⋱⫍1C31","layer":3},{"info":"⪲⇎⪎⋱⫍1C31=⪎⋱⫍3B62","layer":2},{"info":"⪎⋱⫍17B6⋓⪎⋱⫍1525=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍36B3≎⊠⪸⪎⋱⫍366A=⪎⋱⫍5536C5","layer":3},{"info":"⪎⋱⫍0⪛⪎⋱⫍5536C5=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍3B62⫸⊐⪎⋱⫍0=⪎⋱⫍-98","layer":1},{"info":"NaN+⪎⋱⫍-98=NaN","layer":0}]}
{"id":767,"expression_no_base_symbol":"(($1403$⪮%⊝$5701$⨵⪆$6135$⪛$2883$)⨳⩥⨓((⩦⩻⨪$6517$)⇼⇔∾$1366$⩷∴$1002$))∼(($1947$⊉≛↸$1803$)≹⇙⪍($2896$∑⇟⊟$1610$)⇼⇔∾($1810$*$3271$+(⫓⪴$5477$)))","expression":"((⪎⋱⫍83C⪮%⊝⪎⋱⫍2797⨵⪆⪎⋱⫍2A3C⪛⪎⋱⫍140A)⨳⩥⨓((⩦⩻⨪⪎⋱⫍2C74)⇼⇔∾⪎⋱⫍811⩷∴⪎⋱⫍5C1))∼((⪎⋱⫍B6A⊉≛↸⪎⋱⫍A89)≹⇙⪍(⪎⋱⫍141A∑⇟⊟⪎⋱⫍96B)⇼⇔∾(⪎⋱⫍A93*⪎⋱⫍1648+(⫓⪴⪎⋱⫍2654)))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":7442,"operation_count":15,"complexity_ratio":496.1333333333333,"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":1403,"base":13},"right_expr":{"type":"numeric_atoms","value":5701,"base":13}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":6135,"base":13},"right_expr":{"type":"numeric_atoms","value":2883,"base":13}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":6517,"base":13}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1366,"base":13},"right_expr":{"type":"numeric_atoms","value":1002,"base":13}}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1947,"base":13},"right_expr":{"type":"numeric_atoms","value":1803,"base":13}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":2896,"base":13},"right_expr":{"type":"numeric_atoms","value":1610,"base":13}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1810,"base":13},"right_expr":{"type":"numeric_atoms","value":3271,"base":13}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":5477,"base":13}}}}},"used_operators":["DyGG3AbaNP","nCS4ZIUYfx","2DQ55sFlQl","IWmyXbctLI","uFcxV4UQCh","tifHPKVTfV","2td37pGCOC","9FxExcQeMw","AHs5Up7iyr","DZ8iAZOCBD","U7g4x0WXJJ","W4YGzv6Whe","9HNa5Wba9A","eLxqMNBOBk"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","dWAJyo7jo9","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1403","layer":4},{"info":"number node, value=5701","layer":4},{"info":"compute binary expreesion, left_input=1403, right_input=5701, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3122","layer":3},{"info":"number node, value=6135","layer":4},{"info":"number node, value=2883","layer":4},{"info":"compute binary expreesion, left_input=6135, right_input=2883, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=369","layer":3},{"info":"compute binary expreesion, left_input=3122, right_input=369, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=6517","layer":4},{"info":"compute unary expreesion, input=6517, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=6517","layer":3},{"info":"number node, value=1366","layer":4},{"info":"number node, value=1002","layer":4},{"info":"compute binary expreesion, left_input=1366, right_input=1002, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=696","layer":3},{"info":"compute binary expreesion, left_input=6517, right_input=696, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-5821","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=-5821, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-5981","layer":1},{"info":"number node, value=1947","layer":4},{"info":"number node, value=1803","layer":4},{"info":"compute binary expreesion, left_input=1947, right_input=1803, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3894","layer":3},{"info":"number node, value=2896","layer":4},{"info":"number node, value=1610","layer":4},{"info":"compute binary expreesion, left_input=2896, right_input=1610, 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=3894, 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=1810","layer":4},{"info":"number node, value=3271","layer":4},{"info":"compute binary expreesion, left_input=1810, right_input=3271, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=5920510","layer":3},{"info":"number node, value=5477","layer":4},{"info":"compute unary expreesion, input=5477, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=29997529","layer":3},{"info":"compute binary expreesion, left_input=5920510, right_input=29997529, op_id = W4YGzv6Whe binary_op_definition= 'None', output=35918039","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=35918039, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-5981, 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":13,"result_base":13,"text":"((⪎⋱⫍83C⪮%⊝⪎⋱⫍2797⨵⪆⪎⋱⫍2A3C⪛⪎⋱⫍140A)⨳⩥⨓((⩦⩻⨪⪎⋱⫍2C74)⇼⇔∾⪎⋱⫍811⩷∴⪎⋱⫍5C1))∼((⪎⋱⫍B6A⊉≛↸⪎⋱⫍A89)≹⇙⪍(⪎⋱⫍141A∑⇟⊟⪎⋱⫍96B)⇼⇔∾(⪎⋱⫍A93*⪎⋱⫍1648+(⫓⪴⪎⋱⫍2654)))=NaN","reverse_text":"NaN=((⪎⋱⫍83C⪮%⊝⪎⋱⫍2797⨵⪆⪎⋱⫍2A3C⪛⪎⋱⫍140A)⨳⩥⨓((⩦⩻⨪⪎⋱⫍2C74)⇼⇔∾⪎⋱⫍811⩷∴⪎⋱⫍5C1))∼((⪎⋱⫍B6A⊉≛↸⪎⋱⫍A89)≹⇙⪍(⪎⋱⫍141A∑⇟⊟⪎⋱⫍96B)⇼⇔∾(⪎⋱⫍A93*⪎⋱⫍1648+(⫓⪴⪎⋱⫍2654)))","cot":[{"info":"⪎⋱⫍83C⪮%⊝⪎⋱⫍2797=⪎⋱⫍1562","layer":3},{"info":"⪎⋱⫍2A3C⪛⪎⋱⫍140A=⪎⋱⫍225","layer":3},{"info":"⪎⋱⫍1562⨵⪆⪎⋱⫍225=⪎⋱⫍C4","layer":2},{"info":"⩦⩻⨪⪎⋱⫍2C74=⪎⋱⫍2C74","layer":3},{"info":"⪎⋱⫍811⩷∴⪎⋱⫍5C1=⪎⋱⫍417","layer":3},{"info":"⪎⋱⫍2C74⇼⇔∾⪎⋱⫍417=⪎⋱⫍-285A","layer":2},{"info":"⪎⋱⫍C4⨳⩥⨓⪎⋱⫍-285A=⪎⋱⫍-2951","layer":1},{"info":"⪎⋱⫍B6A⊉≛↸⪎⋱⫍A89=⪎⋱⫍1A07","layer":3},{"info":"⪎⋱⫍141A∑⇟⊟⪎⋱⫍96B=NaN","layer":3},{"info":"⪎⋱⫍1A07≹⇙⪍NaN=NaN","layer":2},{"info":"⪎⋱⫍A93*⪎⋱⫍1648=⪎⋱⫍12C3A7B","layer":3},{"info":"⫓⪴⪎⋱⫍2654=⪎⋱⫍62A3B23","layer":3},{"info":"⪎⋱⫍12C3A7B+⪎⋱⫍62A3B23=⪎⋱⫍75978A1","layer":2},{"info":"NaN⇼⇔∾⪎⋱⫍75978A1=NaN","layer":1},{"info":"⪎⋱⫍-2951∼NaN=NaN","layer":0}]}
{"id":768,"expression_no_base_symbol":"(⨑⩽⪐($2562$⋳⪒$1863$⪨≂$4102$⩨$6467$))⪄($1717$⨁⊸⫻)⋳⪒($6417$⊦⊿)⨽(≤/$1165$⩷∴$1921$)","expression":"(⨑⩽⪐(⪎⋱⫍1221⋳⪒⪎⋱⫍B04⪨≂⪎⋱⫍1B37⩨⪎⋱⫍2C36))⪄(⪎⋱⫍A21⨁⊸⫻)⋳⪒(⪎⋱⫍2BC8⊦⊿)⨽(≤/⪎⋱⫍6B8⩷∴⪎⋱⫍B4A)","highest_n_order":2,"priority_hierarchical_complexity":7,"normalized_expansion_degree":22619,"operation_count":11,"complexity_ratio":2056.2727272727275,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2562,"base":13},"right_expr":{"type":"numeric_atoms","value":1863,"base":13}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":4102,"base":13},"right_expr":{"type":"numeric_atoms","value":6467,"base":13}}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":1717,"base":13}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":6417,"base":13}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1165,"base":13},"right_expr":{"type":"numeric_atoms","value":1921,"base":13}}}}},"used_operators":["SUmda5xLS4","AF7qkfDlqP","sdazOOVcIp","12rbrZMWeM","2DlMacCsIx","8HhzD0ZcuI","glklzrTFfD","14qkJME0vr","eLAdDNolq6","9FxExcQeMw"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z"],"result":"⪎⋱⫍1A71","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2562","layer":4},{"info":"number node, value=1863","layer":4},{"info":"compute binary expreesion, left_input=2562, right_input=1863, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=2974","layer":3},{"info":"number node, value=4102","layer":4},{"info":"number node, value=6467","layer":4},{"info":"compute binary expreesion, left_input=4102, right_input=6467, 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=2974, right_input=-3, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=6056","layer":2},{"info":"compute unary expreesion, input=6056, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-5783","layer":1},{"info":"number node, value=1717","layer":4},{"info":"compute unary expreesion, input=1717, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=1717","layer":3},{"info":"number node, value=6417","layer":4},{"info":"compute unary expreesion, input=6417, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-19330","layer":3},{"info":"compute binary expreesion, left_input=1717, right_input=-19330, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=22477","layer":2},{"info":"number node, value=1165","layer":4},{"info":"number node, value=1921","layer":4},{"info":"compute binary expreesion, left_input=1165, right_input=1921, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-1544","layer":3},{"info":"compute unary expreesion, input=-1544, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=2028","layer":2},{"info":"compute binary expreesion, left_input=22477, right_input=2028, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-1515651357","layer":1},{"info":"compute binary expreesion, left_input=-5783, right_input=-1515651357, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":0}],"base":13,"result_base":13,"text":"(⨑⩽⪐(⪎⋱⫍1221⋳⪒⪎⋱⫍B04⪨≂⪎⋱⫍1B37⩨⪎⋱⫍2C36))⪄(⪎⋱⫍A21⨁⊸⫻)⋳⪒(⪎⋱⫍2BC8⊦⊿)⨽(≤/⪎⋱⫍6B8⩷∴⪎⋱⫍B4A)=⪎⋱⫍1A71","reverse_text":"⪎⋱⫍1A71=(⨑⩽⪐(⪎⋱⫍1221⋳⪒⪎⋱⫍B04⪨≂⪎⋱⫍1B37⩨⪎⋱⫍2C36))⪄(⪎⋱⫍A21⨁⊸⫻)⋳⪒(⪎⋱⫍2BC8⊦⊿)⨽(≤/⪎⋱⫍6B8⩷∴⪎⋱⫍B4A)","cot":[{"info":"⪎⋱⫍1221⋳⪒⪎⋱⫍B04=⪎⋱⫍147A","layer":3},{"info":"⪎⋱⫍1B37⩨⪎⋱⫍2C36=⪎⋱⫍-3","layer":3},{"info":"⪎⋱⫍147A⪨≂⪎⋱⫍-3=⪎⋱⫍29AB","layer":2},{"info":"⨑⩽⪐⪎⋱⫍29AB=⪎⋱⫍-282B","layer":1},{"info":"⪎⋱⫍A21⨁⊸⫻=⪎⋱⫍A21","layer":3},{"info":"⪎⋱⫍2BC8⊦⊿=⪎⋱⫍-8A4C","layer":3},{"info":"⪎⋱⫍A21⋳⪒⪎⋱⫍-8A4C=⪎⋱⫍A300","layer":2},{"info":"⪎⋱⫍6B8⩷∴⪎⋱⫍B4A=⪎⋱⫍-91A","layer":3},{"info":"≤/⪎⋱⫍-91A=⪎⋱⫍C00","layer":2},{"info":"⪎⋱⫍A300⨽⪎⋱⫍C00=⪎⋱⫍-1B201222C","layer":1},{"info":"⪎⋱⫍-282B⪄⪎⋱⫍-1B201222C=⪎⋱⫍1A71","layer":0}]}
{"id":769,"expression_no_base_symbol":"((↥$1544$)/$1338$⨽$1011$)⋥≓≎($1626$∼$1556$-($1225$⊠≄⫣))⪒(($1654$⊠≄⫣)≦≮≮)⇷($1493$⪛$4687$)≹⇙⪍($1892$⪛$1649$)","expression":"((↥⪎⋱⫍91A)/⪎⋱⫍7BC⨽⪎⋱⫍5CA)⋥≓≎(⪎⋱⫍981∼⪎⋱⫍929-(⪎⋱⫍733⊠≄⫣))⪒((⪎⋱⫍9A3⊠≄⫣)≦≮≮)⇷(⪎⋱⫍8AB⪛⪎⋱⫍2197)≹⇙⪍(⪎⋱⫍B27⪛⪎⋱⫍99B)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":62908,"operation_count":14,"complexity_ratio":4493.428571428572,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":1544,"base":13}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1338,"base":13},"right_expr":{"type":"numeric_atoms","value":1011,"base":13}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1626,"base":13},"right_expr":{"type":"numeric_atoms","value":1556,"base":13}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":1225,"base":13}}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":1654,"base":13}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1493,"base":13},"right_expr":{"type":"numeric_atoms","value":4687,"base":13}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1892,"base":13},"right_expr":{"type":"numeric_atoms","value":1649,"base":13}}}}},"used_operators":["f6k1SAg4EE","Qy55tPpLXF","XhwjNDsVaA","A8NUZmVepG","8HhzD0ZcuI","rysDP5nf3Z","DyGG3AbaNP","DIvbN7qnHd","mp7IySMOzn","D4vGDi5EA2","AHs5Up7iyr","uFcxV4UQCh"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","k8jYdgA6NY","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1544","layer":4},{"info":"compute unary expreesion, input=1544, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=14","layer":3},{"info":"number node, value=1338","layer":4},{"info":"number node, value=1011","layer":4},{"info":"compute binary expreesion, left_input=1338, right_input=1011, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-5372451","layer":3},{"info":"compute binary expreesion, left_input=14, right_input=-5372451, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-1","layer":2},{"info":"number node, value=1626","layer":4},{"info":"number node, value=1556","layer":4},{"info":"compute binary expreesion, left_input=1626, right_input=1556, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"number node, value=1225","layer":4},{"info":"compute unary expreesion, input=1225, 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 = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-1, right_input=nan, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=nan","layer":1},{"info":"number node, value=1654","layer":4},{"info":"compute unary expreesion, input=1654, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=0","layer":2},{"info":"number node, value=1493","layer":4},{"info":"number node, value=4687","layer":4},{"info":"compute binary expreesion, left_input=1493, right_input=4687, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1493","layer":3},{"info":"number node, value=1892","layer":4},{"info":"number node, value=1649","layer":4},{"info":"compute binary expreesion, left_input=1892, right_input=1649, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=243","layer":3},{"info":"compute binary expreesion, left_input=1493, right_input=243, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 = 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 = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((↥⪎⋱⫍91A)/⪎⋱⫍7BC⨽⪎⋱⫍5CA)⋥≓≎(⪎⋱⫍981∼⪎⋱⫍929-(⪎⋱⫍733⊠≄⫣))⪒((⪎⋱⫍9A3⊠≄⫣)≦≮≮)⇷(⪎⋱⫍8AB⪛⪎⋱⫍2197)≹⇙⪍(⪎⋱⫍B27⪛⪎⋱⫍99B)=NaN","reverse_text":"NaN=((↥⪎⋱⫍91A)/⪎⋱⫍7BC⨽⪎⋱⫍5CA)⋥≓≎(⪎⋱⫍981∼⪎⋱⫍929-(⪎⋱⫍733⊠≄⫣))⪒((⪎⋱⫍9A3⊠≄⫣)≦≮≮)⇷(⪎⋱⫍8AB⪛⪎⋱⫍2197)≹⇙⪍(⪎⋱⫍B27⪛⪎⋱⫍99B)","cot":[{"info":"↥⪎⋱⫍91A=⪎⋱⫍11","layer":3},{"info":"⪎⋱⫍7BC⨽⪎⋱⫍5CA=⪎⋱⫍-1161486","layer":3},{"info":"⪎⋱⫍11/⪎⋱⫍-1161486=⪎⋱⫍-1","layer":2},{"info":"⪎⋱⫍981∼⪎⋱⫍929=NaN","layer":3},{"info":"⪎⋱⫍733⊠≄⫣=⪎⋱⫍0","layer":3},{"info":"NaN-⪎⋱⫍0=NaN","layer":2},{"info":"⪎⋱⫍-1⋥≓≎NaN=NaN","layer":1},{"info":"⪎⋱⫍9A3⊠≄⫣=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍0≦≮≮=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍8AB⪛⪎⋱⫍2197=⪎⋱⫍8AB","layer":3},{"info":"⪎⋱⫍B27⪛⪎⋱⫍99B=⪎⋱⫍159","layer":3},{"info":"⪎⋱⫍8AB≹⇙⪍⪎⋱⫍159=NaN","layer":2},{"info":"⪎⋱⫍0⇷NaN=NaN","layer":1},{"info":"NaN⪒NaN=NaN","layer":0}]}
{"id":770,"expression_no_base_symbol":"(↥$2727$⪮%⊝$3197$⋝⋈⪟(↩$1609$))-(⊙↵-($1005$⊭↱$1587$)⊴($4626$⊉≛↸$2085$))","expression":"(↥⪎⋱⫍131A⪮%⊝⪎⋱⫍15BC⋝⋈⪟(↩⪎⋱⫍96A))-(⊙↵-(⪎⋱⫍5C4⊭↱⪎⋱⫍951)⊴(⪎⋱⫍214B⊉≛↸⪎⋱⫍C45))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":9435,"operation_count":9,"complexity_ratio":1048.3333333333333,"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":2727,"base":13},"right_expr":{"type":"numeric_atoms","value":3197,"base":13}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":1609,"base":13}}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1005,"base":13},"right_expr":{"type":"numeric_atoms","value":1587,"base":13}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":4626,"base":13},"right_expr":{"type":"numeric_atoms","value":2085,"base":13}}}}},"used_operators":["rysDP5nf3Z","A8NUZmVepG","2DDjHMKMc0","IWmyXbctLI","jLgFTUHLKL","oWn0xqSxBt","Nsiff2A1zJ","COABgblf1C","DZ8iAZOCBD"],"dependent_operators":["k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2727","layer":4},{"info":"number node, value=3197","layer":4},{"info":"compute binary expreesion, left_input=2727, right_input=3197, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=5770","layer":3},{"info":"number node, value=1609","layer":4},{"info":"compute unary expreesion, input=1609, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-10092","layer":3},{"info":"compute binary expreesion, left_input=5770, right_input=-10092, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=5770","layer":2},{"info":"compute unary expreesion, input=5770, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=7","layer":1},{"info":"number node, value=1005","layer":4},{"info":"number node, value=1587","layer":4},{"info":"compute binary expreesion, left_input=1005, right_input=1587, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=1169","layer":3},{"info":"number node, value=4626","layer":4},{"info":"number node, value=2085","layer":4},{"info":"compute binary expreesion, left_input=4626, right_input=2085, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=9252","layer":3},{"info":"compute binary expreesion, left_input=1169, right_input=9252, 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":"compute binary expreesion, left_input=7, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":13,"result_base":13,"text":"(↥⪎⋱⫍131A⪮%⊝⪎⋱⫍15BC⋝⋈⪟(↩⪎⋱⫍96A))-(⊙↵-(⪎⋱⫍5C4⊭↱⪎⋱⫍951)⊴(⪎⋱⫍214B⊉≛↸⪎⋱⫍C45))=NaN","reverse_text":"NaN=(↥⪎⋱⫍131A⪮%⊝⪎⋱⫍15BC⋝⋈⪟(↩⪎⋱⫍96A))-(⊙↵-(⪎⋱⫍5C4⊭↱⪎⋱⫍951)⊴(⪎⋱⫍214B⊉≛↸⪎⋱⫍C45))","cot":[{"info":"⪎⋱⫍131A⪮%⊝⪎⋱⫍15BC=⪎⋱⫍281B","layer":3},{"info":"↩⪎⋱⫍96A=⪎⋱⫍-4794","layer":3},{"info":"⪎⋱⫍281B⋝⋈⪟⪎⋱⫍-4794=⪎⋱⫍281B","layer":2},{"info":"↥⪎⋱⫍281B=⪎⋱⫍7","layer":1},{"info":"⪎⋱⫍5C4⊭↱⪎⋱⫍951=⪎⋱⫍6BC","layer":3},{"info":"⪎⋱⫍214B⊉≛↸⪎⋱⫍C45=⪎⋱⫍4299","layer":3},{"info":"⪎⋱⫍6BC⊴⪎⋱⫍4299=NaN","layer":2},{"info":"⊙↵-NaN=NaN","layer":1},{"info":"⪎⋱⫍7-NaN=NaN","layer":0}]}
{"id":771,"expression_no_base_symbol":"((⪲⇎$1741$)⨟⋌⩍$2791$⪮%⊝$2500$⪒($5991$⇼⇔∾$3236$)⪢(⨰⫟⨤$3037$))≹⇙⪍(⫓⪴((↔$1323$)⪠⩆⊳))","expression":"((⪲⇎⪎⋱⫍A3C)⨟⋌⩍⪎⋱⫍1369⪮%⊝⪎⋱⫍11A4⪒(⪎⋱⫍295B⇼⇔∾⪎⋱⫍161C)⪢(⨰⫟⨤⪎⋱⫍14C8))≹⇙⪍(⫓⪴((↔⪎⋱⫍7AA)⪠⩆⊳))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":11341,"operation_count":11,"complexity_ratio":1031.0,"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":1741,"base":13}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2791,"base":13},"right_expr":{"type":"numeric_atoms","value":2500,"base":13}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":5991,"base":13},"right_expr":{"type":"numeric_atoms","value":3236,"base":13}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":3037,"base":13}}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":1323,"base":13}}}}},"used_operators":["AHs5Up7iyr","f6k1SAg4EE","rGHVDoGpnC","XPYlsWDdGa","IWmyXbctLI","dWAJyo7jo9","tifHPKVTfV","Tw270M8GLb","eLxqMNBOBk","JLbD19bQDL","ruOEQAzv1W"],"dependent_operators":["dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1741","layer":4},{"info":"compute unary expreesion, input=1741, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=3482","layer":3},{"info":"number node, value=2791","layer":4},{"info":"number node, value=2500","layer":4},{"info":"compute binary expreesion, left_input=2791, right_input=2500, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=5898","layer":3},{"info":"compute binary expreesion, left_input=3482, right_input=5898, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=5991","layer":4},{"info":"number node, value=3236","layer":4},{"info":"compute binary expreesion, left_input=5991, right_input=3236, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-2755","layer":3},{"info":"number node, value=3037","layer":4},{"info":"compute unary expreesion, input=3037, 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=-2755, 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 = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":1},{"info":"number node, value=1323","layer":4},{"info":"compute unary expreesion, input=1323, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-1050","layer":3},{"info":"compute unary expreesion, input=-1050, 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 = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⪲⇎⪎⋱⫍A3C)⨟⋌⩍⪎⋱⫍1369⪮%⊝⪎⋱⫍11A4⪒(⪎⋱⫍295B⇼⇔∾⪎⋱⫍161C)⪢(⨰⫟⨤⪎⋱⫍14C8))≹⇙⪍(⫓⪴((↔⪎⋱⫍7AA)⪠⩆⊳))=NaN","reverse_text":"NaN=((⪲⇎⪎⋱⫍A3C)⨟⋌⩍⪎⋱⫍1369⪮%⊝⪎⋱⫍11A4⪒(⪎⋱⫍295B⇼⇔∾⪎⋱⫍161C)⪢(⨰⫟⨤⪎⋱⫍14C8))≹⇙⪍(⫓⪴((↔⪎⋱⫍7AA)⪠⩆⊳))","cot":[{"info":"⪲⇎⪎⋱⫍A3C=⪎⋱⫍177B","layer":3},{"info":"⪎⋱⫍1369⪮%⊝⪎⋱⫍11A4=⪎⋱⫍28B9","layer":3},{"info":"⪎⋱⫍177B⨟⋌⩍⪎⋱⫍28B9=NaN","layer":2},{"info":"⪎⋱⫍295B⇼⇔∾⪎⋱⫍161C=⪎⋱⫍-133C","layer":3},{"info":"⨰⫟⨤⪎⋱⫍14C8=NaN","layer":3},{"info":"⪎⋱⫍-133C⪢NaN=NaN","layer":2},{"info":"NaN⪒NaN=NaN","layer":1},{"info":"↔⪎⋱⫍7AA=⪎⋱⫍-62A","layer":3},{"info":"⪎⋱⫍-62A⪠⩆⊳=⪎⋱⫍0","layer":2},{"info":"⫓⪴⪎⋱⫍0=⪎⋱⫍0","layer":1},{"info":"NaN≹⇙⪍⪎⋱⫍0=NaN","layer":0}]}
{"id":772,"expression_no_base_symbol":"$4885$↬$2037$⫸⊐($7667$∲⫓$9444$)⊉≛↸(⋗⩬⋾(⊄⩳↩$1391$))*($5310$↛⩡⫤)∼(⊄⩳↩$1449$)∼(+⊝⨔($1002$⫡⨏$3350$))","expression":"⪎⋱⫍22BA↬⪎⋱⫍C09⫸⊐(⪎⋱⫍364A∲⫓⪎⋱⫍43B6)⊉≛↸(⋗⩬⋾(⊄⩳↩⪎⋱⫍830))*(⪎⋱⫍2556↛⩡⫤)∼(⊄⩳↩⪎⋱⫍876)∼(+⊝⨔(⪎⋱⫍5C1⫡⨏⪎⋱⫍16A9))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":31780,"operation_count":13,"complexity_ratio":2444.6153846153848,"tree":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":4885,"base":13},"right_expr":{"type":"numeric_atoms","value":2037,"base":13}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":7667,"base":13},"right_expr":{"type":"numeric_atoms","value":9444,"base":13}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1391,"base":13}}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":5310,"base":13}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1449,"base":13}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1002,"base":13},"right_expr":{"type":"numeric_atoms","value":3350,"base":13}}}}},"used_operators":["9HNa5Wba9A","DZ8iAZOCBD","mqXw5SEYmG","B5M0gjZbta","i8ToyICDmI","DpFCA1CohY","8w2t5hMYqp","DyGG3AbaNP","FU0Cs4j7VP","DhbWaqg5eL","QMFrweE19q"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4885","layer":4},{"info":"number node, value=2037","layer":4},{"info":"compute binary expreesion, left_input=4885, right_input=2037, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=7667","layer":4},{"info":"number node, value=9444","layer":4},{"info":"compute binary expreesion, left_input=7667, right_input=9444, 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 = 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=1391","layer":4},{"info":"compute unary expreesion, input=1391, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-4173","layer":3},{"info":"compute unary expreesion, input=-4173, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=12519","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=12519, 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=5310","layer":4},{"info":"compute unary expreesion, input=5310, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-797899","layer":3},{"info":"number node, value=1449","layer":4},{"info":"compute unary expreesion, input=1449, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-4347","layer":3},{"info":"compute binary expreesion, left_input=-797899, right_input=-4347, 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=1002","layer":4},{"info":"number node, value=3350","layer":4},{"info":"compute binary expreesion, left_input=1002, right_input=3350, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=12493","layer":3},{"info":"compute unary expreesion, input=12493, 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 = 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 = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍22BA↬⪎⋱⫍C09⫸⊐(⪎⋱⫍364A∲⫓⪎⋱⫍43B6)⊉≛↸(⋗⩬⋾(⊄⩳↩⪎⋱⫍830))*(⪎⋱⫍2556↛⩡⫤)∼(⊄⩳↩⪎⋱⫍876)∼(+⊝⨔(⪎⋱⫍5C1⫡⨏⪎⋱⫍16A9))=NaN","reverse_text":"NaN=⪎⋱⫍22BA↬⪎⋱⫍C09⫸⊐(⪎⋱⫍364A∲⫓⪎⋱⫍43B6)⊉≛↸(⋗⩬⋾(⊄⩳↩⪎⋱⫍830))*(⪎⋱⫍2556↛⩡⫤)∼(⊄⩳↩⪎⋱⫍876)∼(+⊝⨔(⪎⋱⫍5C1⫡⨏⪎⋱⫍16A9))","cot":[{"info":"⪎⋱⫍22BA↬⪎⋱⫍C09=NaN","layer":3},{"info":"⪎⋱⫍364A∲⫓⪎⋱⫍43B6=⪎⋱⫍0","layer":3},{"info":"NaN⫸⊐⪎⋱⫍0=NaN","layer":2},{"info":"⊄⩳↩⪎⋱⫍830=⪎⋱⫍-1B90","layer":3},{"info":"⋗⩬⋾⪎⋱⫍-1B90=⪎⋱⫍5910","layer":2},{"info":"NaN⊉≛↸⪎⋱⫍5910=NaN","layer":1},{"info":"⪎⋱⫍2556↛⩡⫤=⪎⋱⫍-21C23B","layer":3},{"info":"⊄⩳↩⪎⋱⫍876=⪎⋱⫍-1C95","layer":3},{"info":"⪎⋱⫍-21C23B∼⪎⋱⫍-1C95=NaN","layer":2},{"info":"⪎⋱⫍5C1⫡⨏⪎⋱⫍16A9=⪎⋱⫍58C0","layer":3},{"info":"+⊝⨔⪎⋱⫍58C0=⪎⋱⫍901","layer":2},{"info":"NaN∼⪎⋱⫍901=NaN","layer":1},{"info":"NaN*NaN=NaN","layer":0}]}
{"id":773,"expression_no_base_symbol":"(⊙↵-($4426$≭$2588$))⨓($1733$⋳⪒$1030$⪠⩆⊳)⇼⇔∾((⩦⩻⨪(↣≠⋷$1683$))⨸⪁($1033$⊭∹↮)⪮%⊝($2014$⨳⩥⨓$1889$))","expression":"(⊙↵-(⪎⋱⫍2026≭⪎⋱⫍1241))⨓(⪎⋱⫍A34⋳⪒⪎⋱⫍613⪠⩆⊳)⇼⇔∾((⩦⩻⨪(↣≠⋷⪎⋱⫍9C6))⨸⪁(⪎⋱⫍616⊭∹↮)⪮%⊝(⪎⋱⫍BBC⨳⩥⨓⪎⋱⫍B24))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":77,"operation_count":12,"complexity_ratio":6.416666666666667,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":4426,"base":13},"right_expr":{"type":"numeric_atoms","value":2588,"base":13}}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1733,"base":13},"right_expr":{"type":"numeric_atoms","value":1030,"base":13}}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1683,"base":13}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":1033,"base":13}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2014,"base":13},"right_expr":{"type":"numeric_atoms","value":1889,"base":13}}}}},"used_operators":["tifHPKVTfV","3ViojmjbAp","oWn0xqSxBt","rxpJgHHUmx","JLbD19bQDL","12rbrZMWeM","g55IO6H4Gj","2td37pGCOC","Asc51vEJeQ","IWmyXbctLI","xNBdhnnwKq","nCS4ZIUYfx"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4426","layer":4},{"info":"number node, value=2588","layer":4},{"info":"compute binary expreesion, left_input=4426, right_input=2588, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=nan","layer":2},{"info":"number node, value=1733","layer":4},{"info":"number node, value=1030","layer":4},{"info":"compute binary expreesion, left_input=1733, right_input=1030, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=2149","layer":3},{"info":"compute unary expreesion, input=2149, 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 = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":1},{"info":"number node, value=1683","layer":4},{"info":"compute unary expreesion, input=1683, 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":"number node, value=1033","layer":4},{"info":"compute unary expreesion, input=1033, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=2066","layer":3},{"info":"number node, value=2014","layer":4},{"info":"number node, value=1889","layer":4},{"info":"compute binary expreesion, left_input=2014, right_input=1889, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-125","layer":3},{"info":"compute binary expreesion, left_input=2066, right_input=-125, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=4448","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=4448, 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 = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⊙↵-(⪎⋱⫍2026≭⪎⋱⫍1241))⨓(⪎⋱⫍A34⋳⪒⪎⋱⫍613⪠⩆⊳)⇼⇔∾((⩦⩻⨪(↣≠⋷⪎⋱⫍9C6))⨸⪁(⪎⋱⫍616⊭∹↮)⪮%⊝(⪎⋱⫍BBC⨳⩥⨓⪎⋱⫍B24))=NaN","reverse_text":"NaN=(⊙↵-(⪎⋱⫍2026≭⪎⋱⫍1241))⨓(⪎⋱⫍A34⋳⪒⪎⋱⫍613⪠⩆⊳)⇼⇔∾((⩦⩻⨪(↣≠⋷⪎⋱⫍9C6))⨸⪁(⪎⋱⫍616⊭∹↮)⪮%⊝(⪎⋱⫍BBC⨳⩥⨓⪎⋱⫍B24))","cot":[{"info":"⪎⋱⫍2026≭⪎⋱⫍1241=NaN","layer":3},{"info":"⊙↵-NaN=NaN","layer":2},{"info":"⪎⋱⫍A34⋳⪒⪎⋱⫍613=⪎⋱⫍C94","layer":3},{"info":"⪎⋱⫍C94⪠⩆⊳=⪎⋱⫍0","layer":2},{"info":"NaN⨓⪎⋱⫍0=NaN","layer":1},{"info":"↣≠⋷⪎⋱⫍9C6=NaN","layer":3},{"info":"⩦⩻⨪NaN=NaN","layer":2},{"info":"⪎⋱⫍616⊭∹↮=⪎⋱⫍C2C","layer":3},{"info":"⪎⋱⫍BBC⨳⩥⨓⪎⋱⫍B24=⪎⋱⫍-98","layer":3},{"info":"⪎⋱⫍C2C⪮%⊝⪎⋱⫍-98=⪎⋱⫍2042","layer":2},{"info":"NaN⨸⪁⪎⋱⫍2042=NaN","layer":1},{"info":"NaN⇼⇔∾NaN=NaN","layer":0}]}
{"id":774,"expression_no_base_symbol":"(($1015$∀⇚≩$5272$+(↯⪼$2804$))∲⫓$1413$≎⊠⪸$2162$⨳⩥⨓$2765$⋥≓≎$1121$)⪮%⊝((-$1665$⩷∴$1442$)⪛(($1962$*$5962$)⫸⊐($6652$⩤)))","expression":"((⪎⋱⫍601∀⇚≩⪎⋱⫍2527+(↯⪼⪎⋱⫍1379))∲⫓⪎⋱⫍849≎⊠⪸⪎⋱⫍CA4⨳⩥⨓⪎⋱⫍1349⋥≓≎⪎⋱⫍683)⪮%⊝((-⪎⋱⫍9B1⩷∴⪎⋱⫍86C)⪛((⪎⋱⫍B7C*⪎⋱⫍2938)⫸⊐(⪎⋱⫍3049⩤)))","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":9420,"operation_count":14,"complexity_ratio":672.8571428571429,"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":1015,"base":13},"right_expr":{"type":"numeric_atoms","value":5272,"base":13}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":2804,"base":13}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1413,"base":13},"right_expr":{"type":"numeric_atoms","value":2162,"base":13}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2765,"base":13},"right_expr":{"type":"numeric_atoms","value":1121,"base":13}}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1665,"base":13},"right_expr":{"type":"numeric_atoms","value":1442,"base":13}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1962,"base":13},"right_expr":{"type":"numeric_atoms","value":5962,"base":13}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":6652,"base":13}}}}},"used_operators":["IWmyXbctLI","i8ToyICDmI","W4YGzv6Whe","LRNGc0VcxI","8jW3W4yZS5","nCS4ZIUYfx","bJkvcejdHO","Qy55tPpLXF","uFcxV4UQCh","t8gj7n24qd","9FxExcQeMw","mqXw5SEYmG","9HNa5Wba9A","Z2TMIBDE3Q"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","W4YGzv6Whe","rysDP5nf3Z","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1015","layer":4},{"info":"number node, value=5272","layer":4},{"info":"compute binary expreesion, left_input=1015, right_input=5272, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=2804","layer":4},{"info":"compute unary expreesion, input=2804, 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 = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=1413","layer":4},{"info":"number node, value=2162","layer":4},{"info":"compute binary expreesion, left_input=1413, right_input=2162, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=365494","layer":3},{"info":"number node, value=2765","layer":4},{"info":"number node, value=1121","layer":4},{"info":"compute binary expreesion, left_input=2765, right_input=1121, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-490","layer":3},{"info":"compute binary expreesion, left_input=365494, right_input=-490, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-365984","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-365984, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":1},{"info":"number node, value=1665","layer":4},{"info":"number node, value=1442","layer":4},{"info":"compute binary expreesion, left_input=1665, right_input=1442, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=414","layer":3},{"info":"compute unary expreesion, input=414, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-414","layer":2},{"info":"number node, value=1962","layer":4},{"info":"number node, value=5962","layer":4},{"info":"compute binary expreesion, left_input=1962, right_input=5962, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=11697444","layer":3},{"info":"number node, value=6652","layer":4},{"info":"compute unary expreesion, input=6652, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-6652","layer":3},{"info":"compute binary expreesion, left_input=11697444, right_input=-6652, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=-13433","layer":2},{"info":"compute binary expreesion, left_input=-414, right_input=-13433, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=-414","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-414, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍601∀⇚≩⪎⋱⫍2527+(↯⪼⪎⋱⫍1379))∲⫓⪎⋱⫍849≎⊠⪸⪎⋱⫍CA4⨳⩥⨓⪎⋱⫍1349⋥≓≎⪎⋱⫍683)⪮%⊝((-⪎⋱⫍9B1⩷∴⪎⋱⫍86C)⪛((⪎⋱⫍B7C*⪎⋱⫍2938)⫸⊐(⪎⋱⫍3049⩤)))=NaN","reverse_text":"NaN=((⪎⋱⫍601∀⇚≩⪎⋱⫍2527+(↯⪼⪎⋱⫍1379))∲⫓⪎⋱⫍849≎⊠⪸⪎⋱⫍CA4⨳⩥⨓⪎⋱⫍1349⋥≓≎⪎⋱⫍683)⪮%⊝((-⪎⋱⫍9B1⩷∴⪎⋱⫍86C)⪛((⪎⋱⫍B7C*⪎⋱⫍2938)⫸⊐(⪎⋱⫍3049⩤)))","cot":[{"info":"⪎⋱⫍601∀⇚≩⪎⋱⫍2527=NaN","layer":3},{"info":"↯⪼⪎⋱⫍1379=⪎⋱⫍-18","layer":3},{"info":"NaN+⪎⋱⫍-18=NaN","layer":2},{"info":"⪎⋱⫍849≎⊠⪸⪎⋱⫍CA4=⪎⋱⫍CA48C","layer":3},{"info":"⪎⋱⫍1349⋥≓≎⪎⋱⫍683=⪎⋱⫍-2B9","layer":3},{"info":"⪎⋱⫍CA48C⨳⩥⨓⪎⋱⫍-2B9=⪎⋱⫍-CA778","layer":2},{"info":"NaN∲⫓⪎⋱⫍-CA778=NaN","layer":1},{"info":"⪎⋱⫍9B1⩷∴⪎⋱⫍86C=⪎⋱⫍25B","layer":3},{"info":"-⪎⋱⫍25B=⪎⋱⫍-25B","layer":2},{"info":"⪎⋱⫍B7C*⪎⋱⫍2938=⪎⋱⫍2567385","layer":3},{"info":"⪎⋱⫍3049⩤=⪎⋱⫍-3049","layer":3},{"info":"⪎⋱⫍2567385⫸⊐⪎⋱⫍-3049=⪎⋱⫍-6164","layer":2},{"info":"⪎⋱⫍-25B⪛⪎⋱⫍-6164=⪎⋱⫍-25B","layer":1},{"info":"NaN⪮%⊝⪎⋱⫍-25B=NaN","layer":0}]}
{"id":775,"expression_no_base_symbol":"(∥⊫(⊥$4471$))⪢((⊥$4910$)⪛($1918$⊭∹↮))⋝⋈⪟($1583$∑⇟⊟$1735$*($3383$*$8738$)⇼⇔∾$3788$⪢$6442$⨳⩥⨓($3233$↛⩡⫤))","expression":"(∥⊫(⊥⪎⋱⫍205C))⪢((⊥⪎⋱⫍2309)⪛(⪎⋱⫍B47⊭∹↮))⋝⋈⪟(⪎⋱⫍94A∑⇟⊟⪎⋱⫍A36*(⪎⋱⫍1703*⪎⋱⫍3C92)⇼⇔∾⪎⋱⫍1955⪢⪎⋱⫍2C17⨳⩥⨓(⪎⋱⫍1619↛⩡⫤))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":19684,"operation_count":14,"complexity_ratio":1406.0,"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":4471,"base":13}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":4910,"base":13}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":1918,"base":13}}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1583,"base":13},"right_expr":{"type":"numeric_atoms","value":1735,"base":13}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":3383,"base":13},"right_expr":{"type":"numeric_atoms","value":8738,"base":13}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":3788,"base":13},"right_expr":{"type":"numeric_atoms","value":6442,"base":13}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":3233,"base":13}}}}},"used_operators":["2DDjHMKMc0","dWAJyo7jo9","P8v4zCKN1o","Q3PJZHRvZv","uFcxV4UQCh","xNBdhnnwKq","tifHPKVTfV","9HNa5Wba9A","U7g4x0WXJJ","nCS4ZIUYfx","FU0Cs4j7VP"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","fu6greOZ01","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","rysDP5nf3Z","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4471","layer":4},{"info":"compute unary expreesion, input=4471, op_id = Q3PJZHRvZv, unary_op_definition = '⊥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":"number node, value=4910","layer":4},{"info":"compute unary expreesion, input=4910, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=1918","layer":4},{"info":"compute unary expreesion, input=1918, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=3836","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3836, 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=1583","layer":4},{"info":"number node, value=1735","layer":4},{"info":"compute binary expreesion, left_input=1583, right_input=1735, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=3383","layer":4},{"info":"number node, value=8738","layer":4},{"info":"compute binary expreesion, left_input=3383, right_input=8738, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=29560654","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=29560654, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=3788","layer":4},{"info":"number node, value=6442","layer":4},{"info":"compute binary expreesion, left_input=3788, right_input=6442, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=3233","layer":4},{"info":"compute unary expreesion, input=3233, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-484272","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-484272, 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 = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-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":13,"result_base":13,"text":"(∥⊫(⊥⪎⋱⫍205C))⪢((⊥⪎⋱⫍2309)⪛(⪎⋱⫍B47⊭∹↮))⋝⋈⪟(⪎⋱⫍94A∑⇟⊟⪎⋱⫍A36*(⪎⋱⫍1703*⪎⋱⫍3C92)⇼⇔∾⪎⋱⫍1955⪢⪎⋱⫍2C17⨳⩥⨓(⪎⋱⫍1619↛⩡⫤))=NaN","reverse_text":"NaN=(∥⊫(⊥⪎⋱⫍205C))⪢((⊥⪎⋱⫍2309)⪛(⪎⋱⫍B47⊭∹↮))⋝⋈⪟(⪎⋱⫍94A∑⇟⊟⪎⋱⫍A36*(⪎⋱⫍1703*⪎⋱⫍3C92)⇼⇔∾⪎⋱⫍1955⪢⪎⋱⫍2C17⨳⩥⨓(⪎⋱⫍1619↛⩡⫤))","cot":[{"info":"⊥⪎⋱⫍205C=NaN","layer":3},{"info":"∥⊫NaN=NaN","layer":2},{"info":"⊥⪎⋱⫍2309=NaN","layer":3},{"info":"⪎⋱⫍B47⊭∹↮=⪎⋱⫍1991","layer":3},{"info":"NaN⪛⪎⋱⫍1991=NaN","layer":2},{"info":"NaN⪢NaN=NaN","layer":1},{"info":"⪎⋱⫍94A∑⇟⊟⪎⋱⫍A36=NaN","layer":3},{"info":"⪎⋱⫍1703*⪎⋱⫍3C92=⪎⋱⫍6180016","layer":3},{"info":"NaN*⪎⋱⫍6180016=NaN","layer":2},{"info":"⪎⋱⫍1955⪢⪎⋱⫍2C17=NaN","layer":3},{"info":"⪎⋱⫍1619↛⩡⫤=⪎⋱⫍-13C569","layer":3},{"info":"NaN⨳⩥⨓⪎⋱⫍-13C569=NaN","layer":2},{"info":"NaN⇼⇔∾NaN=NaN","layer":1},{"info":"NaN⋝⋈⪟NaN=NaN","layer":0}]}
{"id":776,"expression_no_base_symbol":"((≉($7453$⇋≉))∲⫓($4045$⨳⩥⨓$1159$)⨟⋌⩍($1288$⪒$2984$))⨽(($1014$∧)⪐)⨪↰⇹(+⊝⨔($6079$≎⊠⪸$3868$))","expression":"((≉(⪎⋱⫍3514⇋≉))∲⫓(⪎⋱⫍1AC2⨳⩥⨓⪎⋱⫍6B2)⨟⋌⩍(⪎⋱⫍781⪒⪎⋱⫍1487))⨽((⪎⋱⫍600∧)⪐)⨪↰⇹(+⊝⨔(⪎⋱⫍29C8≎⊠⪸⪎⋱⫍19B7))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":343,"operation_count":12,"complexity_ratio":28.583333333333332,"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":7453,"base":13}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":4045,"base":13},"right_expr":{"type":"numeric_atoms","value":1159,"base":13}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1288,"base":13},"right_expr":{"type":"numeric_atoms","value":2984,"base":13}}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":1014,"base":13}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":6079,"base":13},"right_expr":{"type":"numeric_atoms","value":3868,"base":13}}}}},"used_operators":["8HhzD0ZcuI","i8ToyICDmI","e1ybzncUwg","XIabStNQrY","rGHVDoGpnC","nCS4ZIUYfx","f6k1SAg4EE","tmPS8pqC7x","eH2TOUuTDT","z63VuFQld9","DhbWaqg5eL","bJkvcejdHO"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=7453","layer":4},{"info":"compute unary expreesion, input=7453, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=14808","layer":3},{"info":"compute unary expreesion, input=14808, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=15339","layer":2},{"info":"number node, value=4045","layer":4},{"info":"number node, value=1159","layer":4},{"info":"compute binary expreesion, left_input=4045, right_input=1159, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-2886","layer":3},{"info":"number node, value=1288","layer":4},{"info":"number node, value=2984","layer":4},{"info":"compute binary expreesion, left_input=1288, right_input=2984, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4272","layer":3},{"info":"compute binary expreesion, left_input=-2886, right_input=-4272, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=15339, 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=1014","layer":4},{"info":"compute unary expreesion, input=1014, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=nan","layer":2},{"info":"number node, value=6079","layer":4},{"info":"number node, value=3868","layer":4},{"info":"compute binary expreesion, left_input=6079, right_input=3868, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1573988","layer":3},{"info":"compute unary expreesion, input=1573988, 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 = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((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 = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((≉(⪎⋱⫍3514⇋≉))∲⫓(⪎⋱⫍1AC2⨳⩥⨓⪎⋱⫍6B2)⨟⋌⩍(⪎⋱⫍781⪒⪎⋱⫍1487))⨽((⪎⋱⫍600∧)⪐)⨪↰⇹(+⊝⨔(⪎⋱⫍29C8≎⊠⪸⪎⋱⫍19B7))=NaN","reverse_text":"NaN=((≉(⪎⋱⫍3514⇋≉))∲⫓(⪎⋱⫍1AC2⨳⩥⨓⪎⋱⫍6B2)⨟⋌⩍(⪎⋱⫍781⪒⪎⋱⫍1487))⨽((⪎⋱⫍600∧)⪐)⨪↰⇹(+⊝⨔(⪎⋱⫍29C8≎⊠⪸⪎⋱⫍19B7))","cot":[{"info":"⪎⋱⫍3514⇋≉=⪎⋱⫍6981","layer":3},{"info":"≉⪎⋱⫍6981=⪎⋱⫍6C9C","layer":2},{"info":"⪎⋱⫍1AC2⨳⩥⨓⪎⋱⫍6B2=⪎⋱⫍-1410","layer":3},{"info":"⪎⋱⫍781⪒⪎⋱⫍1487=⪎⋱⫍-1C38","layer":3},{"info":"⪎⋱⫍-1410⨟⋌⩍⪎⋱⫍-1C38=NaN","layer":2},{"info":"⪎⋱⫍6C9C∲⫓NaN=NaN","layer":1},{"info":"⪎⋱⫍600∧=NaN","layer":3},{"info":"NaN⪐=NaN","layer":2},{"info":"⪎⋱⫍29C8≎⊠⪸⪎⋱⫍19B7=⪎⋱⫍431570","layer":3},{"info":"+⊝⨔⪎⋱⫍431570=⪎⋱⫍901","layer":2},{"info":"NaN⨪↰⇹⪎⋱⫍901=NaN","layer":1},{"info":"NaN⨽NaN=NaN","layer":0}]}
{"id":777,"expression_no_base_symbol":"($1960$⊴$1703$%$3529$⫥∨⫟$4814$)⇷(($1171$⩠)⩠)⊠≄⫣","expression":"(⪎⋱⫍B7A⊴⪎⋱⫍A10%⪎⋱⫍17B6⫥∨⫟⪎⋱⫍2264)⇷((⪎⋱⫍6C1⩠)⩠)⊠≄⫣","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1996,"operation_count":7,"complexity_ratio":285.14285714285717,"tree":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1960,"base":13},"right_expr":{"type":"numeric_atoms","value":1703,"base":13}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":3529,"base":13},"right_expr":{"type":"numeric_atoms","value":4814,"base":13}}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":1171,"base":13}}}}},"used_operators":["DIvbN7qnHd","mp7IySMOzn","k8jYdgA6NY","Nsiff2A1zJ","KYD54nUTWz","sJAwomhLZr"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","14qkJME0vr","8HhzD0ZcuI","rGHVDoGpnC","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1960","layer":4},{"info":"number node, value=1703","layer":4},{"info":"compute binary expreesion, left_input=1960, right_input=1703, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=3529","layer":4},{"info":"number node, value=4814","layer":4},{"info":"compute binary expreesion, left_input=3529, right_input=4814, 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 = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=1171","layer":4},{"info":"compute unary expreesion, input=1171, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"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 = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍B7A⊴⪎⋱⫍A10%⪎⋱⫍17B6⫥∨⫟⪎⋱⫍2264)⇷((⪎⋱⫍6C1⩠)⩠)⊠≄⫣=NaN","reverse_text":"NaN=(⪎⋱⫍B7A⊴⪎⋱⫍A10%⪎⋱⫍17B6⫥∨⫟⪎⋱⫍2264)⇷((⪎⋱⫍6C1⩠)⩠)⊠≄⫣","cot":[{"info":"⪎⋱⫍B7A⊴⪎⋱⫍A10=NaN","layer":3},{"info":"⪎⋱⫍17B6⫥∨⫟⪎⋱⫍2264=NaN","layer":3},{"info":"NaN%NaN=NaN","layer":2},{"info":"⪎⋱⫍6C1⩠=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍0⩠=NaN","layer":2},{"info":"NaN⇷NaN=NaN","layer":1},{"info":"NaN⊠≄⫣=NaN","layer":0}]}
{"id":778,"expression_no_base_symbol":"(($4575$⨟⋌⩍$3261$⨳⩥⨓$5864$⪮%⊝$3706$)⊦⊿)⨎(($5216$⊠≄⫣)⇼⇔∾($4121$⨸⪁$3873$))⨪↰⇹(($5811$⪨≂$5127$)⨰(⫛⫱⨽$6759$))","expression":"((⪎⋱⫍210C⨟⋌⩍⪎⋱⫍163B⨳⩥⨓⪎⋱⫍2891⪮%⊝⪎⋱⫍18C1)⊦⊿)⨎((⪎⋱⫍24B3⊠≄⫣)⇼⇔∾(⪎⋱⫍1B50⨸⪁⪎⋱⫍19BC))⨪↰⇹((⪎⋱⫍2850⪨≂⪎⋱⫍2445)⨰(⫛⫱⨽⪎⋱⫍30CC))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":17449,"operation_count":12,"complexity_ratio":1454.0833333333333,"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":4575,"base":13},"right_expr":{"type":"numeric_atoms","value":3261,"base":13}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":5864,"base":13},"right_expr":{"type":"numeric_atoms","value":3706,"base":13}}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":5216,"base":13}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":4121,"base":13},"right_expr":{"type":"numeric_atoms","value":3873,"base":13}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":5811,"base":13},"right_expr":{"type":"numeric_atoms","value":5127,"base":13}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":6759,"base":13}}}}},"used_operators":["rJVOvQCfKK","14qkJME0vr","nCS4ZIUYfx","rGHVDoGpnC","IWmyXbctLI","tmPS8pqC7x","tifHPKVTfV","DIvbN7qnHd","g55IO6H4Gj","eewbuw0ToL","sdazOOVcIp","DlLNRPXxWL"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","Tcnh7f0tEr","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC"],"result":"⪎⋱⫍737B","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=4575","layer":4},{"info":"number node, value=3261","layer":4},{"info":"compute binary expreesion, left_input=4575, right_input=3261, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=5864","layer":4},{"info":"number node, value=3706","layer":4},{"info":"compute binary expreesion, left_input=5864, right_input=3706, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=12044","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=12044, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((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=5216","layer":4},{"info":"compute unary expreesion, input=5216, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"number node, value=4121","layer":4},{"info":"number node, value=3873","layer":4},{"info":"compute binary expreesion, left_input=4121, right_input=3873, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=15988","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=15988, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=15988","layer":2},{"info":"number node, value=5811","layer":4},{"info":"number node, value=5127","layer":4},{"info":"compute binary expreesion, left_input=5811, right_input=5127, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=1470","layer":3},{"info":"number node, value=6759","layer":4},{"info":"compute unary expreesion, input=6759, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=1470, right_input=0, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1480","layer":2},{"info":"compute binary expreesion, left_input=15988, right_input=1480, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=15988","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=15988, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=15988","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍210C⨟⋌⩍⪎⋱⫍163B⨳⩥⨓⪎⋱⫍2891⪮%⊝⪎⋱⫍18C1)⊦⊿)⨎((⪎⋱⫍24B3⊠≄⫣)⇼⇔∾(⪎⋱⫍1B50⨸⪁⪎⋱⫍19BC))⨪↰⇹((⪎⋱⫍2850⪨≂⪎⋱⫍2445)⨰(⫛⫱⨽⪎⋱⫍30CC))=⪎⋱⫍737B","reverse_text":"⪎⋱⫍737B=((⪎⋱⫍210C⨟⋌⩍⪎⋱⫍163B⨳⩥⨓⪎⋱⫍2891⪮%⊝⪎⋱⫍18C1)⊦⊿)⨎((⪎⋱⫍24B3⊠≄⫣)⇼⇔∾(⪎⋱⫍1B50⨸⪁⪎⋱⫍19BC))⨪↰⇹((⪎⋱⫍2850⪨≂⪎⋱⫍2445)⨰(⫛⫱⨽⪎⋱⫍30CC))","cot":[{"info":"⪎⋱⫍210C⨟⋌⩍⪎⋱⫍163B=NaN","layer":3},{"info":"⪎⋱⫍2891⪮%⊝⪎⋱⫍18C1=⪎⋱⫍5636","layer":3},{"info":"NaN⨳⩥⨓⪎⋱⫍5636=NaN","layer":2},{"info":"NaN⊦⊿=NaN","layer":1},{"info":"⪎⋱⫍24B3⊠≄⫣=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍1B50⨸⪁⪎⋱⫍19BC=⪎⋱⫍737B","layer":3},{"info":"⪎⋱⫍0⇼⇔∾⪎⋱⫍737B=⪎⋱⫍737B","layer":2},{"info":"⪎⋱⫍2850⪨≂⪎⋱⫍2445=⪎⋱⫍891","layer":3},{"info":"⫛⫱⨽⪎⋱⫍30CC=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍891⨰⪎⋱⫍0=⪎⋱⫍89B","layer":2},{"info":"⪎⋱⫍737B⨪↰⇹⪎⋱⫍89B=⪎⋱⫍737B","layer":1},{"info":"NaN⨎⪎⋱⫍737B=⪎⋱⫍737B","layer":0}]}
{"id":779,"expression_no_base_symbol":"(↩$2503$⇷$2674$)⊴(↩$1495$⨪↰⇹$2506$)⊉≛↸(($1107$⪨≂$1526$)⩚⊴⇥(⋗⩬⋾$1091$)+((↽≂$2303$)⨵⪆$5947$⊴$1649$))","expression":"(↩⪎⋱⫍11A7⇷⪎⋱⫍12A9)⊴(↩⪎⋱⫍8B0⨪↰⇹⪎⋱⫍11AA)⊉≛↸((⪎⋱⫍672⪨≂⪎⋱⫍905)⩚⊴⇥(⋗⩬⋾⪎⋱⫍65C)+((↽≂⪎⋱⫍1082)⨵⪆⪎⋱⫍2926⊴⪎⋱⫍99B))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":68198,"operation_count":13,"complexity_ratio":5246.0,"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":2503,"base":13},"right_expr":{"type":"numeric_atoms","value":2674,"base":13}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1495,"base":13},"right_expr":{"type":"numeric_atoms","value":2506,"base":13}}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1107,"base":13},"right_expr":{"type":"numeric_atoms","value":1526,"base":13}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1091,"base":13}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":2303,"base":13}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":5947,"base":13},"right_expr":{"type":"numeric_atoms","value":1649,"base":13}}}}},"used_operators":["DZ8iAZOCBD","Nsiff2A1zJ","jLgFTUHLKL","mp7IySMOzn","tmPS8pqC7x","W4YGzv6Whe","NTOWxs364D","sdazOOVcIp","DpFCA1CohY","2DQ55sFlQl","u6S6b8DprG"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2503","layer":4},{"info":"number node, value=2674","layer":4},{"info":"compute binary expreesion, left_input=2503, right_input=2674, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=5348","layer":3},{"info":"compute unary expreesion, input=5348, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-40004","layer":2},{"info":"number node, value=1495","layer":4},{"info":"number node, value=2506","layer":4},{"info":"compute binary expreesion, left_input=1495, right_input=2506, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1495","layer":3},{"info":"compute unary expreesion, input=1495, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-9180","layer":2},{"info":"compute binary expreesion, left_input=-40004, right_input=-9180, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=1107","layer":4},{"info":"number node, value=1526","layer":4},{"info":"compute binary expreesion, left_input=1107, right_input=1526, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-736","layer":3},{"info":"number node, value=1091","layer":4},{"info":"compute unary expreesion, input=1091, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-3273","layer":3},{"info":"compute binary expreesion, left_input=-736, right_input=-3273, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=3888","layer":2},{"info":"number node, value=2303","layer":4},{"info":"compute unary expreesion, input=2303, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-4606","layer":3},{"info":"number node, value=5947","layer":4},{"info":"number node, value=1649","layer":4},{"info":"compute binary expreesion, left_input=5947, right_input=1649, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-4606, 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=3888, right_input=160, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4048","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=4048, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(↩⪎⋱⫍11A7⇷⪎⋱⫍12A9)⊴(↩⪎⋱⫍8B0⨪↰⇹⪎⋱⫍11AA)⊉≛↸((⪎⋱⫍672⪨≂⪎⋱⫍905)⩚⊴⇥(⋗⩬⋾⪎⋱⫍65C)+((↽≂⪎⋱⫍1082)⨵⪆⪎⋱⫍2926⊴⪎⋱⫍99B))=NaN","reverse_text":"NaN=(↩⪎⋱⫍11A7⇷⪎⋱⫍12A9)⊴(↩⪎⋱⫍8B0⨪↰⇹⪎⋱⫍11AA)⊉≛↸((⪎⋱⫍672⪨≂⪎⋱⫍905)⩚⊴⇥(⋗⩬⋾⪎⋱⫍65C)+((↽≂⪎⋱⫍1082)⨵⪆⪎⋱⫍2926⊴⪎⋱⫍99B))","cot":[{"info":"⪎⋱⫍11A7⇷⪎⋱⫍12A9=⪎⋱⫍2585","layer":3},{"info":"↩⪎⋱⫍2585=⪎⋱⫍-15293","layer":2},{"info":"⪎⋱⫍8B0⨪↰⇹⪎⋱⫍11AA=⪎⋱⫍8B0","layer":3},{"info":"↩⪎⋱⫍8B0=⪎⋱⫍-4242","layer":2},{"info":"⪎⋱⫍-15293⊴⪎⋱⫍-4242=NaN","layer":1},{"info":"⪎⋱⫍672⪨≂⪎⋱⫍905=⪎⋱⫍-448","layer":3},{"info":"⋗⩬⋾⪎⋱⫍65C=⪎⋱⫍-164A","layer":3},{"info":"⪎⋱⫍-448⩚⊴⇥⪎⋱⫍-164A=⪎⋱⫍1A01","layer":2},{"info":"↽≂⪎⋱⫍1082=⪎⋱⫍-2134","layer":3},{"info":"⪎⋱⫍2926⊴⪎⋱⫍99B=NaN","layer":3},{"info":"⪎⋱⫍-2134⨵⪆NaN=⪎⋱⫍C4","layer":2},{"info":"⪎⋱⫍1A01+⪎⋱⫍C4=⪎⋱⫍1AC5","layer":1},{"info":"NaN⊉≛↸⪎⋱⫍1AC5=NaN","layer":0}]}
{"id":780,"expression_no_base_symbol":"(($7633$⪄$1907$)⋓$6884$∑⇟⊟$1108$)⨟⋌⩍($2029$⋝⋈⪟$1309$⨎($2414$⨳⩥⨓$5955$))∀⇚≩(((⨞⊢$1000$)≫≃)⋷$2250$⨓$7714$∑⇟⊟(⇁⨣⪵$3535$))","expression":"((⪎⋱⫍3622⪄⪎⋱⫍B39)⋓⪎⋱⫍3197∑⇟⊟⪎⋱⫍673)⨟⋌⩍(⪎⋱⫍C01⋝⋈⪟⪎⋱⫍799⨎(⪎⋱⫍1139⨳⩥⨓⪎⋱⫍2931))∀⇚≩(((⨞⊢⪎⋱⫍5BC)≫≃)⋷⪎⋱⫍1041⨓⪎⋱⫍3685∑⇟⊟(⇁⨣⪵⪎⋱⫍17BC))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":7851,"operation_count":14,"complexity_ratio":560.7857142857143,"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":7633,"base":13},"right_expr":{"type":"numeric_atoms","value":1907,"base":13}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":6884,"base":13},"right_expr":{"type":"numeric_atoms","value":1108,"base":13}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2029,"base":13},"right_expr":{"type":"numeric_atoms","value":1309,"base":13}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2414,"base":13},"right_expr":{"type":"numeric_atoms","value":5955,"base":13}}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":1000,"base":13}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2250,"base":13},"right_expr":{"type":"numeric_atoms","value":7714,"base":13}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":3535,"base":13}}}}},"used_operators":["LRNGc0VcxI","rGHVDoGpnC","T2fj7uvVaJ","SUmda5xLS4","U7g4x0WXJJ","rJVOvQCfKK","2DDjHMKMc0","nCS4ZIUYfx","23Mk6UjR3U","X99M06cbEe","xUOZtlo3hN","3ViojmjbAp","inkyxCbjAn"],"dependent_operators":["X99M06cbEe","Tcnh7f0tEr","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","B5M0gjZbta"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=7633","layer":4},{"info":"number node, value=1907","layer":4},{"info":"compute binary expreesion, left_input=7633, right_input=1907, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-1133401","layer":3},{"info":"number node, value=6884","layer":4},{"info":"number node, value=1108","layer":4},{"info":"compute binary expreesion, left_input=6884, right_input=1108, 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=-1133401, 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=2029","layer":4},{"info":"number node, value=1309","layer":4},{"info":"compute binary expreesion, left_input=2029, right_input=1309, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2029","layer":3},{"info":"number node, value=2414","layer":4},{"info":"number node, value=5955","layer":4},{"info":"compute binary expreesion, left_input=2414, right_input=5955, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=3541","layer":3},{"info":"compute binary expreesion, left_input=2029, right_input=3541, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3541","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=3541, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=1000","layer":4},{"info":"compute unary expreesion, input=1000, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1174","layer":3},{"info":"compute unary expreesion, input=-1174, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=-947","layer":2},{"info":"number node, value=2250","layer":4},{"info":"number node, value=7714","layer":4},{"info":"compute binary expreesion, left_input=2250, right_input=7714, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-7717","layer":3},{"info":"number node, value=3535","layer":4},{"info":"compute unary expreesion, input=3535, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-7717, 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=-947, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=1894","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1894, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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":13,"result_base":13,"text":"((⪎⋱⫍3622⪄⪎⋱⫍B39)⋓⪎⋱⫍3197∑⇟⊟⪎⋱⫍673)⨟⋌⩍(⪎⋱⫍C01⋝⋈⪟⪎⋱⫍799⨎(⪎⋱⫍1139⨳⩥⨓⪎⋱⫍2931))∀⇚≩(((⨞⊢⪎⋱⫍5BC)≫≃)⋷⪎⋱⫍1041⨓⪎⋱⫍3685∑⇟⊟(⇁⨣⪵⪎⋱⫍17BC))=NaN","reverse_text":"NaN=((⪎⋱⫍3622⪄⪎⋱⫍B39)⋓⪎⋱⫍3197∑⇟⊟⪎⋱⫍673)⨟⋌⩍(⪎⋱⫍C01⋝⋈⪟⪎⋱⫍799⨎(⪎⋱⫍1139⨳⩥⨓⪎⋱⫍2931))∀⇚≩(((⨞⊢⪎⋱⫍5BC)≫≃)⋷⪎⋱⫍1041⨓⪎⋱⫍3685∑⇟⊟(⇁⨣⪵⪎⋱⫍17BC))","cot":[{"info":"⪎⋱⫍3622⪄⪎⋱⫍B39=⪎⋱⫍-308B69","layer":3},{"info":"⪎⋱⫍3197∑⇟⊟⪎⋱⫍673=NaN","layer":3},{"info":"⪎⋱⫍-308B69⋓NaN=NaN","layer":2},{"info":"⪎⋱⫍C01⋝⋈⪟⪎⋱⫍799=⪎⋱⫍C01","layer":3},{"info":"⪎⋱⫍1139⨳⩥⨓⪎⋱⫍2931=⪎⋱⫍17C5","layer":3},{"info":"⪎⋱⫍C01⨎⪎⋱⫍17C5=⪎⋱⫍17C5","layer":2},{"info":"NaN⨟⋌⩍⪎⋱⫍17C5=NaN","layer":1},{"info":"⨞⊢⪎⋱⫍5BC=⪎⋱⫍-6C4","layer":3},{"info":"⪎⋱⫍-6C4≫≃=⪎⋱⫍-57B","layer":2},{"info":"⪎⋱⫍1041⨓⪎⋱⫍3685=⪎⋱⫍-3688","layer":3},{"info":"⇁⨣⪵⪎⋱⫍17BC=NaN","layer":3},{"info":"⪎⋱⫍-3688∑⇟⊟NaN=NaN","layer":2},{"info":"⪎⋱⫍-57B⋷NaN=⪎⋱⫍B29","layer":1},{"info":"NaN∀⇚≩⪎⋱⫍B29=NaN","layer":0}]}
{"id":781,"expression_no_base_symbol":"((↩$1573$)⪘⫢(⪲⇎$1053$)⫡⨏(⊥(⨈⫕$3939$)))≹⇙⪍(≦∁($2821$⋷$3344$)⊴(-$1155$))","expression":"((↩⪎⋱⫍940)⪘⫢(⪲⇎⪎⋱⫍630)⫡⨏(⊥(⨈⫕⪎⋱⫍1A40)))≹⇙⪍(≦∁(⪎⋱⫍1390⋷⪎⋱⫍16A3)⊴(-⪎⋱⫍6AB))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4555,"operation_count":11,"complexity_ratio":414.09090909090907,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":1573,"base":13}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1053,"base":13}}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":3939,"base":13}}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":2821,"base":13},"right_expr":{"type":"numeric_atoms","value":3344,"base":13}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1155,"base":13}}}}},"used_operators":["AHs5Up7iyr","QMFrweE19q","oacrs7FA3X","jLgFTUHLKL","XPYlsWDdGa","Q3PJZHRvZv","megm06wKyl","9ICcGScMcE","Nsiff2A1zJ","23Mk6UjR3U","t8gj7n24qd"],"dependent_operators":["dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","fu6greOZ01","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1573","layer":4},{"info":"compute unary expreesion, input=1573, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-9804","layer":3},{"info":"number node, value=1053","layer":4},{"info":"compute unary expreesion, input=1053, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=2106","layer":3},{"info":"compute binary expreesion, left_input=-9804, right_input=2106, 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=3939","layer":4},{"info":"compute unary expreesion, input=3939, 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 = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=24","layer":2},{"info":"compute binary expreesion, left_input=-1, right_input=24, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=826","layer":1},{"info":"number node, value=2821","layer":4},{"info":"number node, value=3344","layer":4},{"info":"compute binary expreesion, left_input=2821, right_input=3344, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=3867","layer":3},{"info":"number node, value=1155","layer":4},{"info":"compute unary expreesion, input=1155, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1155","layer":3},{"info":"compute binary expreesion, left_input=3867, right_input=-1155, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=826, 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":13,"result_base":13,"text":"((↩⪎⋱⫍940)⪘⫢(⪲⇎⪎⋱⫍630)⫡⨏(⊥(⨈⫕⪎⋱⫍1A40)))≹⇙⪍(≦∁(⪎⋱⫍1390⋷⪎⋱⫍16A3)⊴(-⪎⋱⫍6AB))=NaN","reverse_text":"NaN=((↩⪎⋱⫍940)⪘⫢(⪲⇎⪎⋱⫍630)⫡⨏(⊥(⨈⫕⪎⋱⫍1A40)))≹⇙⪍(≦∁(⪎⋱⫍1390⋷⪎⋱⫍16A3)⊴(-⪎⋱⫍6AB))","cot":[{"info":"↩⪎⋱⫍940=⪎⋱⫍-4602","layer":3},{"info":"⪲⇎⪎⋱⫍630=⪎⋱⫍C60","layer":3},{"info":"⪎⋱⫍-4602⪘⫢⪎⋱⫍C60=⪎⋱⫍-1","layer":2},{"info":"⨈⫕⪎⋱⫍1A40=⪎⋱⫍-18","layer":3},{"info":"⊥⪎⋱⫍-18=⪎⋱⫍1B","layer":2},{"info":"⪎⋱⫍-1⫡⨏⪎⋱⫍1B=⪎⋱⫍4B7","layer":1},{"info":"⪎⋱⫍1390⋷⪎⋱⫍16A3=⪎⋱⫍19B6","layer":3},{"info":"-⪎⋱⫍6AB=⪎⋱⫍-6AB","layer":3},{"info":"⪎⋱⫍19B6⊴⪎⋱⫍-6AB=NaN","layer":2},{"info":"≦∁NaN=NaN","layer":1},{"info":"⪎⋱⫍4B7≹⇙⪍NaN=NaN","layer":0}]}
{"id":782,"expression_no_base_symbol":"(⪝⪂⫅(⊙↵-(⨑⩽⪐$2289$)))⫡⨏(↣≠⋷($1603$⊴$1546$)⊴($6442$⨎$1450$))","expression":"(⪝⪂⫅(⊙↵-(⨑⩽⪐⪎⋱⫍1071)))⫡⨏(↣≠⋷(⪎⋱⫍964⊴⪎⋱⫍91C)⊴(⪎⋱⫍2C17⨎⪎⋱⫍877))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":5476,"operation_count":8,"complexity_ratio":684.5,"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":2289,"base":13}}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1603,"base":13},"right_expr":{"type":"numeric_atoms","value":1546,"base":13}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":6442,"base":13},"right_expr":{"type":"numeric_atoms","value":1450,"base":13}}}}},"used_operators":["QMFrweE19q","XTarYq4gQB","oWn0xqSxBt","AF7qkfDlqP","Asc51vEJeQ","Nsiff2A1zJ","rJVOvQCfKK"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","XhwjNDsVaA","AHs5Up7iyr","dWAJyo7jo9","14qkJME0vr","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2289","layer":4},{"info":"compute unary expreesion, input=2289, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-2016","layer":3},{"info":"compute unary expreesion, input=-2016, 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 = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-28812","layer":1},{"info":"number node, value=1603","layer":4},{"info":"number node, value=1546","layer":4},{"info":"compute binary expreesion, left_input=1603, right_input=1546, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=6442","layer":4},{"info":"number node, value=1450","layer":4},{"info":"compute binary expreesion, left_input=6442, right_input=1450, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1450","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1450, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-28812, 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":13,"result_base":13,"text":"(⪝⪂⫅(⊙↵-(⨑⩽⪐⪎⋱⫍1071)))⫡⨏(↣≠⋷(⪎⋱⫍964⊴⪎⋱⫍91C)⊴(⪎⋱⫍2C17⨎⪎⋱⫍877))=NaN","reverse_text":"NaN=(⪝⪂⫅(⊙↵-(⨑⩽⪐⪎⋱⫍1071)))⫡⨏(↣≠⋷(⪎⋱⫍964⊴⪎⋱⫍91C)⊴(⪎⋱⫍2C17⨎⪎⋱⫍877))","cot":[{"info":"⨑⩽⪐⪎⋱⫍1071=⪎⋱⫍-BC1","layer":3},{"info":"⊙↵-⪎⋱⫍-BC1=⪎⋱⫍121","layer":2},{"info":"⪝⪂⫅⪎⋱⫍121=⪎⋱⫍-10164","layer":1},{"info":"⪎⋱⫍964⊴⪎⋱⫍91C=NaN","layer":3},{"info":"⪎⋱⫍2C17⨎⪎⋱⫍877=⪎⋱⫍877","layer":3},{"info":"NaN⊴⪎⋱⫍877=NaN","layer":2},{"info":"↣≠⋷NaN=NaN","layer":1},{"info":"⪎⋱⫍-10164⫡⨏NaN=NaN","layer":0}]}
{"id":783,"expression_no_base_symbol":"((⋗⩬⋾($5455$⊦⊿))⊉≛↸($2985$⪨≂$7470$)∑⇟⊟(≦∁$2097$))⨎(↯⪼((⫛⫱⨽$1057$)⩷∴(↽≂$2111$)))","expression":"((⋗⩬⋾(⪎⋱⫍2638⊦⊿))⊉≛↸(⪎⋱⫍1488⪨≂⪎⋱⫍3528)∑⇟⊟(≦∁⪎⋱⫍C54))⨎(↯⪼((⫛⫱⨽⪎⋱⫍634)⩷∴(↽≂⪎⋱⫍C65)))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1481,"operation_count":11,"complexity_ratio":134.63636363636363,"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":5455,"base":13}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2985,"base":13},"right_expr":{"type":"numeric_atoms","value":7470,"base":13}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":2097,"base":13}}}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":1057,"base":13}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":2111,"base":13}}}}},"used_operators":["rJVOvQCfKK","DZ8iAZOCBD","DpFCA1CohY","14qkJME0vr","U7g4x0WXJJ","sdazOOVcIp","9ICcGScMcE","8jW3W4yZS5","9FxExcQeMw","DlLNRPXxWL","u6S6b8DprG"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍-18","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5455","layer":4},{"info":"compute unary expreesion, input=5455, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-16444","layer":3},{"info":"compute unary expreesion, input=-16444, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=49332","layer":2},{"info":"number node, value=2985","layer":4},{"info":"number node, value=7470","layer":4},{"info":"compute binary expreesion, left_input=2985, right_input=7470, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-8868","layer":3},{"info":"number node, value=2097","layer":4},{"info":"compute unary expreesion, input=2097, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=2097","layer":3},{"info":"compute binary expreesion, left_input=-8868, right_input=2097, 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=49332, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=98664","layer":1},{"info":"number node, value=1057","layer":4},{"info":"compute unary expreesion, input=1057, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=2111","layer":4},{"info":"compute unary expreesion, input=2111, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-4222","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-4222, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=8412","layer":2},{"info":"compute unary expreesion, input=8412, 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=98664, right_input=-21, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-21","layer":0}],"base":13,"result_base":13,"text":"((⋗⩬⋾(⪎⋱⫍2638⊦⊿))⊉≛↸(⪎⋱⫍1488⪨≂⪎⋱⫍3528)∑⇟⊟(≦∁⪎⋱⫍C54))⨎(↯⪼((⫛⫱⨽⪎⋱⫍634)⩷∴(↽≂⪎⋱⫍C65)))=⪎⋱⫍-18","reverse_text":"⪎⋱⫍-18=((⋗⩬⋾(⪎⋱⫍2638⊦⊿))⊉≛↸(⪎⋱⫍1488⪨≂⪎⋱⫍3528)∑⇟⊟(≦∁⪎⋱⫍C54))⨎(↯⪼((⫛⫱⨽⪎⋱⫍634)⩷∴(↽≂⪎⋱⫍C65)))","cot":[{"info":"⪎⋱⫍2638⊦⊿=⪎⋱⫍-763C","layer":3},{"info":"⋗⩬⋾⪎⋱⫍-763C=⪎⋱⫍195BA","layer":2},{"info":"⪎⋱⫍1488⪨≂⪎⋱⫍3528=⪎⋱⫍-4062","layer":3},{"info":"≦∁⪎⋱⫍C54=⪎⋱⫍C54","layer":3},{"info":"⪎⋱⫍-4062∑⇟⊟⪎⋱⫍C54=NaN","layer":2},{"info":"⪎⋱⫍195BA⊉≛↸NaN=⪎⋱⫍35BA7","layer":1},{"info":"⫛⫱⨽⪎⋱⫍634=⪎⋱⫍0","layer":3},{"info":"↽≂⪎⋱⫍C65=⪎⋱⫍-1BCA","layer":3},{"info":"⪎⋱⫍0⩷∴⪎⋱⫍-1BCA=⪎⋱⫍3AA1","layer":2},{"info":"↯⪼⪎⋱⫍3AA1=⪎⋱⫍-18","layer":1},{"info":"⪎⋱⫍35BA7⨎⪎⋱⫍-18=⪎⋱⫍-18","layer":0}]}
{"id":784,"expression_no_base_symbol":"(($2536$⩤)↺($1051$%$2317$))∑⇟⊟(⇁⨣⪵$3079$⨪↰⇹$2625$)∑⇟⊟(⨞⊢(↣≠⋷$2203$)⨐⩸⫘($1128$⊉≛↸$3425$))","expression":"((⪎⋱⫍1201⩤)↺(⪎⋱⫍62B%⪎⋱⫍1093))∑⇟⊟(⇁⨣⪵⪎⋱⫍152B⨪↰⇹⪎⋱⫍126C)∑⇟⊟(⨞⊢(↣≠⋷⪎⋱⫍1006)⨐⩸⫘(⪎⋱⫍68A⊉≛↸⪎⋱⫍1736))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3094,"operation_count":11,"complexity_ratio":281.27272727272725,"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":2536,"base":13}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1051,"base":13},"right_expr":{"type":"numeric_atoms","value":2317,"base":13}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":3079,"base":13},"right_expr":{"type":"numeric_atoms","value":2625,"base":13}}}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":2203,"base":13}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1128,"base":13},"right_expr":{"type":"numeric_atoms","value":3425,"base":13}}}}},"used_operators":["U7g4x0WXJJ","7j4O788W3g","Z2TMIBDE3Q","k8jYdgA6NY","inkyxCbjAn","tmPS8pqC7x","xUOZtlo3hN","fu6greOZ01","Asc51vEJeQ","DZ8iAZOCBD"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","B5M0gjZbta","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2536","layer":4},{"info":"compute unary expreesion, input=2536, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-2536","layer":3},{"info":"number node, value=1051","layer":4},{"info":"number node, value=2317","layer":4},{"info":"compute binary expreesion, left_input=1051, right_input=2317, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1051","layer":3},{"info":"compute binary expreesion, left_input=-2536, right_input=1051, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1051","layer":2},{"info":"number node, value=3079","layer":4},{"info":"number node, value=2625","layer":4},{"info":"compute binary expreesion, left_input=3079, right_input=2625, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=3079","layer":3},{"info":"compute unary expreesion, input=3079, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1051, 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=2203","layer":4},{"info":"compute unary expreesion, input=2203, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=1128","layer":4},{"info":"number node, value=3425","layer":4},{"info":"compute binary expreesion, left_input=1128, right_input=3425, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2256","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2256, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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 = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', 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":13,"result_base":13,"text":"((⪎⋱⫍1201⩤)↺(⪎⋱⫍62B%⪎⋱⫍1093))∑⇟⊟(⇁⨣⪵⪎⋱⫍152B⨪↰⇹⪎⋱⫍126C)∑⇟⊟(⨞⊢(↣≠⋷⪎⋱⫍1006)⨐⩸⫘(⪎⋱⫍68A⊉≛↸⪎⋱⫍1736))=NaN","reverse_text":"NaN=((⪎⋱⫍1201⩤)↺(⪎⋱⫍62B%⪎⋱⫍1093))∑⇟⊟(⇁⨣⪵⪎⋱⫍152B⨪↰⇹⪎⋱⫍126C)∑⇟⊟(⨞⊢(↣≠⋷⪎⋱⫍1006)⨐⩸⫘(⪎⋱⫍68A⊉≛↸⪎⋱⫍1736))","cot":[{"info":"⪎⋱⫍1201⩤=⪎⋱⫍-1201","layer":3},{"info":"⪎⋱⫍62B%⪎⋱⫍1093=⪎⋱⫍62B","layer":3},{"info":"⪎⋱⫍-1201↺⪎⋱⫍62B=⪎⋱⫍62B","layer":2},{"info":"⪎⋱⫍152B⨪↰⇹⪎⋱⫍126C=⪎⋱⫍152B","layer":3},{"info":"⇁⨣⪵⪎⋱⫍152B=NaN","layer":2},{"info":"⪎⋱⫍62B∑⇟⊟NaN=NaN","layer":1},{"info":"↣≠⋷⪎⋱⫍1006=NaN","layer":3},{"info":"⪎⋱⫍68A⊉≛↸⪎⋱⫍1736=⪎⋱⫍1047","layer":3},{"info":"NaN⨐⩸⫘⪎⋱⫍1047=NaN","layer":2},{"info":"⨞⊢NaN=NaN","layer":1},{"info":"NaN∑⇟⊟NaN=NaN","layer":0}]}
{"id":785,"expression_no_base_symbol":"(($2943$⊦⊿)≎⊠⪸($1686$+$1104$)/$3433$⇷$2738$⫸⊐$1738$⨪↰⇹$4268$)⋝⋈⪟((($2287$⨳⩥⨓$7161$)⋥≓≎($1039$%$2374$))≎⊠⪸((↩$1506$)⊭↱$2295$↬$4344$))","expression":"((⪎⋱⫍1455⊦⊿)≎⊠⪸(⪎⋱⫍9C9+⪎⋱⫍66C)/⪎⋱⫍1741⇷⪎⋱⫍1328⫸⊐⪎⋱⫍A39⨪↰⇹⪎⋱⫍1C34)⋝⋈⪟(((⪎⋱⫍106C⨳⩥⨓⪎⋱⫍334B)⋥≓≎(⪎⋱⫍61C%⪎⋱⫍1108))≎⊠⪸((↩⪎⋱⫍8BB)⊭↱⪎⋱⫍1077↬⪎⋱⫍1C92))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":50490,"operation_count":15,"complexity_ratio":3366.0,"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":2943,"base":13}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1686,"base":13},"right_expr":{"type":"numeric_atoms","value":1104,"base":13}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":3433,"base":13},"right_expr":{"type":"numeric_atoms","value":2738,"base":13}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1738,"base":13},"right_expr":{"type":"numeric_atoms","value":4268,"base":13}}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2287,"base":13},"right_expr":{"type":"numeric_atoms","value":7161,"base":13}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1039,"base":13},"right_expr":{"type":"numeric_atoms","value":2374,"base":13}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":1506,"base":13}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2295,"base":13},"right_expr":{"type":"numeric_atoms","value":4344,"base":13}}}}},"used_operators":["2DDjHMKMc0","XhwjNDsVaA","bJkvcejdHO","14qkJME0vr","W4YGzv6Whe","mqXw5SEYmG","mp7IySMOzn","tmPS8pqC7x","Qy55tPpLXF","nCS4ZIUYfx","k8jYdgA6NY","COABgblf1C","jLgFTUHLKL","B5M0gjZbta"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rJVOvQCfKK","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rGHVDoGpnC"],"result":"⪎⋱⫍1CC","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2943","layer":4},{"info":"compute unary expreesion, input=2943, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-8908","layer":3},{"info":"number node, value=1686","layer":4},{"info":"number node, value=1104","layer":4},{"info":"compute binary expreesion, left_input=1686, right_input=1104, op_id = W4YGzv6Whe binary_op_definition= 'None', output=2790","layer":3},{"info":"compute binary expreesion, left_input=-8908, right_input=2790, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=2307172","layer":2},{"info":"number node, value=3433","layer":4},{"info":"number node, value=2738","layer":4},{"info":"compute binary expreesion, left_input=3433, right_input=2738, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=5476","layer":3},{"info":"number node, value=1738","layer":4},{"info":"number node, value=4268","layer":4},{"info":"compute binary expreesion, left_input=1738, right_input=4268, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1738","layer":3},{"info":"compute binary expreesion, left_input=5476, right_input=1738, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=6827","layer":2},{"info":"compute binary expreesion, left_input=2307172, right_input=6827, op_id = XhwjNDsVaA binary_op_definition= 'None', output=337","layer":1},{"info":"number node, value=2287","layer":4},{"info":"number node, value=7161","layer":4},{"info":"compute binary expreesion, left_input=2287, right_input=7161, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=4874","layer":3},{"info":"number node, value=1039","layer":4},{"info":"number node, value=2374","layer":4},{"info":"compute binary expreesion, left_input=1039, right_input=2374, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1039","layer":3},{"info":"compute binary expreesion, left_input=4874, right_input=1039, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-2763","layer":2},{"info":"number node, value=1506","layer":4},{"info":"compute unary expreesion, input=1506, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-9268","layer":3},{"info":"number node, value=2295","layer":4},{"info":"number node, value=4344","layer":4},{"info":"compute binary expreesion, left_input=2295, right_input=4344, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=-9268, 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=-2763, 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=337, right_input=67, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=337","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍1455⊦⊿)≎⊠⪸(⪎⋱⫍9C9+⪎⋱⫍66C)/⪎⋱⫍1741⇷⪎⋱⫍1328⫸⊐⪎⋱⫍A39⨪↰⇹⪎⋱⫍1C34)⋝⋈⪟(((⪎⋱⫍106C⨳⩥⨓⪎⋱⫍334B)⋥≓≎(⪎⋱⫍61C%⪎⋱⫍1108))≎⊠⪸((↩⪎⋱⫍8BB)⊭↱⪎⋱⫍1077↬⪎⋱⫍1C92))=⪎⋱⫍1CC","reverse_text":"⪎⋱⫍1CC=((⪎⋱⫍1455⊦⊿)≎⊠⪸(⪎⋱⫍9C9+⪎⋱⫍66C)/⪎⋱⫍1741⇷⪎⋱⫍1328⫸⊐⪎⋱⫍A39⨪↰⇹⪎⋱⫍1C34)⋝⋈⪟(((⪎⋱⫍106C⨳⩥⨓⪎⋱⫍334B)⋥≓≎(⪎⋱⫍61C%⪎⋱⫍1108))≎⊠⪸((↩⪎⋱⫍8BB)⊭↱⪎⋱⫍1077↬⪎⋱⫍1C92))","cot":[{"info":"⪎⋱⫍1455⊦⊿=⪎⋱⫍-4093","layer":3},{"info":"⪎⋱⫍9C9+⪎⋱⫍66C=⪎⋱⫍1368","layer":3},{"info":"⪎⋱⫍-4093≎⊠⪸⪎⋱⫍1368=⪎⋱⫍62A1BA","layer":2},{"info":"⪎⋱⫍1741⇷⪎⋱⫍1328=⪎⋱⫍2653","layer":3},{"info":"⪎⋱⫍A39⨪↰⇹⪎⋱⫍1C34=⪎⋱⫍A39","layer":3},{"info":"⪎⋱⫍2653⫸⊐⪎⋱⫍A39=⪎⋱⫍3152","layer":2},{"info":"⪎⋱⫍62A1BA/⪎⋱⫍3152=⪎⋱⫍1CC","layer":1},{"info":"⪎⋱⫍106C⨳⩥⨓⪎⋱⫍334B=⪎⋱⫍22AC","layer":3},{"info":"⪎⋱⫍61C%⪎⋱⫍1108=⪎⋱⫍61C","layer":3},{"info":"⪎⋱⫍22AC⋥≓≎⪎⋱⫍61C=⪎⋱⫍-1347","layer":2},{"info":"↩⪎⋱⫍8BB=⪎⋱⫍-42AC","layer":3},{"info":"⪎⋱⫍1077↬⪎⋱⫍1C92=NaN","layer":3},{"info":"⪎⋱⫍-42AC⊭↱NaN=NaN","layer":2},{"info":"⪎⋱⫍-1347≎⊠⪸NaN=⪎⋱⫍52","layer":1},{"info":"⪎⋱⫍1CC⋝⋈⪟⪎⋱⫍52=⪎⋱⫍1CC","layer":0}]}
{"id":786,"expression_no_base_symbol":"(($1247$+$2152$)⨎(⨈⫕$1157$)⪨≂($8805$∲⫓$6156$⨵⪆($4862$⪨≂$3807$)))⪛(⇁⨣⪵(∂$2197$)⇷($3900$⩚⊴⇥$2432$))","expression":"((⪎⋱⫍74C+⪎⋱⫍C97)⨎(⨈⫕⪎⋱⫍6B0)⪨≂(⪎⋱⫍4014∲⫓⪎⋱⫍2A57⨵⪆(⪎⋱⫍22A0⪨≂⪎⋱⫍196B)))⪛(⇁⨣⪵(∂⪎⋱⫍1000)⇷(⪎⋱⫍1A10⩚⊴⇥⪎⋱⫍1151))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":419,"operation_count":12,"complexity_ratio":34.916666666666664,"tree":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1247,"base":13},"right_expr":{"type":"numeric_atoms","value":2152,"base":13}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":1157,"base":13}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":8805,"base":13},"right_expr":{"type":"numeric_atoms","value":6156,"base":13}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":4862,"base":13},"right_expr":{"type":"numeric_atoms","value":3807,"base":13}}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":2197,"base":13}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":3900,"base":13},"right_expr":{"type":"numeric_atoms","value":2432,"base":13}}}}},"used_operators":["uFcxV4UQCh","sdazOOVcIp","rJVOvQCfKK","W4YGzv6Whe","megm06wKyl","2DQ55sFlQl","i8ToyICDmI","inkyxCbjAn","mp7IySMOzn","Uaa54Peajs","NTOWxs364D"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1247","layer":4},{"info":"number node, value=2152","layer":4},{"info":"compute binary expreesion, left_input=1247, right_input=2152, op_id = W4YGzv6Whe binary_op_definition= 'None', output=3399","layer":3},{"info":"number node, value=1157","layer":4},{"info":"compute unary expreesion, input=1157, 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=3399, right_input=-21, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-21","layer":2},{"info":"number node, value=8805","layer":4},{"info":"number node, value=6156","layer":4},{"info":"compute binary expreesion, left_input=8805, right_input=6156, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=4862","layer":4},{"info":"number node, value=3807","layer":4},{"info":"compute binary expreesion, left_input=4862, right_input=3807, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=2212","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2212, 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 = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-260","layer":1},{"info":"number node, value=2197","layer":4},{"info":"compute unary expreesion, input=2197, 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=3900","layer":4},{"info":"number node, value=2432","layer":4},{"info":"compute binary expreesion, left_input=3900, right_input=2432, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-6453","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-6453, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾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=-260, right_input=nan, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍74C+⪎⋱⫍C97)⨎(⨈⫕⪎⋱⫍6B0)⪨≂(⪎⋱⫍4014∲⫓⪎⋱⫍2A57⨵⪆(⪎⋱⫍22A0⪨≂⪎⋱⫍196B)))⪛(⇁⨣⪵(∂⪎⋱⫍1000)⇷(⪎⋱⫍1A10⩚⊴⇥⪎⋱⫍1151))=NaN","reverse_text":"NaN=((⪎⋱⫍74C+⪎⋱⫍C97)⨎(⨈⫕⪎⋱⫍6B0)⪨≂(⪎⋱⫍4014∲⫓⪎⋱⫍2A57⨵⪆(⪎⋱⫍22A0⪨≂⪎⋱⫍196B)))⪛(⇁⨣⪵(∂⪎⋱⫍1000)⇷(⪎⋱⫍1A10⩚⊴⇥⪎⋱⫍1151))","cot":[{"info":"⪎⋱⫍74C+⪎⋱⫍C97=⪎⋱⫍1716","layer":3},{"info":"⨈⫕⪎⋱⫍6B0=⪎⋱⫍-18","layer":3},{"info":"⪎⋱⫍1716⨎⪎⋱⫍-18=⪎⋱⫍-18","layer":2},{"info":"⪎⋱⫍4014∲⫓⪎⋱⫍2A57=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍22A0⪨≂⪎⋱⫍196B=⪎⋱⫍1012","layer":3},{"info":"⪎⋱⫍0⨵⪆⪎⋱⫍1012=⪎⋱⫍C4","layer":2},{"info":"⪎⋱⫍-18⪨≂⪎⋱⫍C4=⪎⋱⫍-170","layer":1},{"info":"∂⪎⋱⫍1000=NaN","layer":3},{"info":"⪎⋱⫍1A10⩚⊴⇥⪎⋱⫍1151=⪎⋱⫍-2C25","layer":3},{"info":"NaN⇷⪎⋱⫍-2C25=NaN","layer":2},{"info":"⇁⨣⪵NaN=NaN","layer":1},{"info":"⪎⋱⫍-170⪛NaN=NaN","layer":0}]}
{"id":787,"expression_no_base_symbol":"($4294$⨓$1396$)⪛($3119$+⇶⊼$2640$)⇷(⪝⪂⫅($1567$⫡⨏$6933$))⊭∹↮","expression":"(⪎⋱⫍1C54⨓⪎⋱⫍835)⪛(⪎⋱⫍155C+⇶⊼⪎⋱⫍1281)⇷(⪝⪂⫅(⪎⋱⫍937⫡⨏⪎⋱⫍3204))⊭∹↮","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1579,"operation_count":7,"complexity_ratio":225.57142857142858,"tree":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":4294,"base":13},"right_expr":{"type":"numeric_atoms","value":1396,"base":13}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":3119,"base":13},"right_expr":{"type":"numeric_atoms","value":2640,"base":13}}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1567,"base":13},"right_expr":{"type":"numeric_atoms","value":6933,"base":13}}}}},"used_operators":["xNBdhnnwKq","mp7IySMOzn","uFcxV4UQCh","3ViojmjbAp","TpPTUOHfaN","XTarYq4gQB","QMFrweE19q"],"dependent_operators":["2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","AHs5Up7iyr","9HNa5Wba9A","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4294","layer":4},{"info":"number node, value=1396","layer":4},{"info":"compute binary expreesion, left_input=4294, right_input=1396, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1399","layer":3},{"info":"number node, value=3119","layer":4},{"info":"number node, value=2640","layer":4},{"info":"compute binary expreesion, left_input=3119, right_input=2640, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=-1399, 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=1567","layer":4},{"info":"number node, value=6933","layer":4},{"info":"compute binary expreesion, left_input=1567, right_input=6933, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=22484","layer":3},{"info":"compute unary expreesion, input=22484, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-3305148","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-3305148, 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":13,"result_base":13,"text":"(⪎⋱⫍1C54⨓⪎⋱⫍835)⪛(⪎⋱⫍155C+⇶⊼⪎⋱⫍1281)⇷(⪝⪂⫅(⪎⋱⫍937⫡⨏⪎⋱⫍3204))⊭∹↮=NaN","reverse_text":"NaN=(⪎⋱⫍1C54⨓⪎⋱⫍835)⪛(⪎⋱⫍155C+⇶⊼⪎⋱⫍1281)⇷(⪝⪂⫅(⪎⋱⫍937⫡⨏⪎⋱⫍3204))⊭∹↮","cot":[{"info":"⪎⋱⫍1C54⨓⪎⋱⫍835=⪎⋱⫍-838","layer":3},{"info":"⪎⋱⫍155C+⇶⊼⪎⋱⫍1281=NaN","layer":3},{"info":"⪎⋱⫍-838⪛NaN=NaN","layer":2},{"info":"⪎⋱⫍937⫡⨏⪎⋱⫍3204=⪎⋱⫍A307","layer":3},{"info":"⪝⪂⫅⪎⋱⫍A307=⪎⋱⫍-8B9512","layer":2},{"info":"NaN⇷⪎⋱⫍-8B9512=NaN","layer":1},{"info":"NaN⊭∹↮=NaN","layer":0}]}
{"id":788,"expression_no_base_symbol":"⨞⊢($2955$⪘⫢$2803$⋳⪒($3050$⫡⨏$4789$))⇷(($3893$⪒$4131$)⩨(⋗⩬⋾$1480$))","expression":"⨞⊢(⪎⋱⫍1464⪘⫢⪎⋱⫍1378⋳⪒(⪎⋱⫍1508⫡⨏⪎⋱⫍2245))⇷((⪎⋱⫍1A06⪒⪎⋱⫍1B5A)⩨(⋗⩬⋾⪎⋱⫍89B))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":200611,"operation_count":8,"complexity_ratio":25076.375,"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":2955,"base":13},"right_expr":{"type":"numeric_atoms","value":2803,"base":13}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":3050,"base":13},"right_expr":{"type":"numeric_atoms","value":4789,"base":13}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":3893,"base":13},"right_expr":{"type":"numeric_atoms","value":4131,"base":13}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1480,"base":13}}}}},"used_operators":["xUOZtlo3hN","mp7IySMOzn","12rbrZMWeM","oacrs7FA3X","QMFrweE19q","2DlMacCsIx","f6k1SAg4EE","DpFCA1CohY"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍-105","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2955","layer":4},{"info":"number node, value=2803","layer":4},{"info":"compute binary expreesion, left_input=2955, right_input=2803, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=5786","layer":3},{"info":"number node, value=3050","layer":4},{"info":"number node, value=4789","layer":4},{"info":"compute binary expreesion, left_input=3050, right_input=4789, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=25611","layer":3},{"info":"compute binary expreesion, left_input=5786, right_input=25611, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-14326","layer":2},{"info":"number node, value=3893","layer":4},{"info":"number node, value=4131","layer":4},{"info":"compute binary expreesion, left_input=3893, right_input=4131, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-8024","layer":3},{"info":"number node, value=1480","layer":4},{"info":"compute unary expreesion, input=1480, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-4440","layer":3},{"info":"compute binary expreesion, left_input=-8024, right_input=-4440, 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=-14326, right_input=0, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-174","layer":0}],"base":13,"result_base":13,"text":"⨞⊢(⪎⋱⫍1464⪘⫢⪎⋱⫍1378⋳⪒(⪎⋱⫍1508⫡⨏⪎⋱⫍2245))⇷((⪎⋱⫍1A06⪒⪎⋱⫍1B5A)⩨(⋗⩬⋾⪎⋱⫍89B))=⪎⋱⫍-105","reverse_text":"⪎⋱⫍-105=⨞⊢(⪎⋱⫍1464⪘⫢⪎⋱⫍1378⋳⪒(⪎⋱⫍1508⫡⨏⪎⋱⫍2245))⇷((⪎⋱⫍1A06⪒⪎⋱⫍1B5A)⩨(⋗⩬⋾⪎⋱⫍89B))","cot":[{"info":"⪎⋱⫍1464⪘⫢⪎⋱⫍1378=⪎⋱⫍2831","layer":3},{"info":"⪎⋱⫍1508⫡⨏⪎⋱⫍2245=⪎⋱⫍B871","layer":3},{"info":"⪎⋱⫍2831⋳⪒⪎⋱⫍B871=⪎⋱⫍-66A0","layer":2},{"info":"⪎⋱⫍1A06⪒⪎⋱⫍1B5A=⪎⋱⫍-3863","layer":3},{"info":"⋗⩬⋾⪎⋱⫍89B=⪎⋱⫍-2037","layer":3},{"info":"⪎⋱⫍-3863⩨⪎⋱⫍-2037=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍-66A0⇷⪎⋱⫍0=⪎⋱⫍0","layer":1},{"info":"⨞⊢⪎⋱⫍0=⪎⋱⫍-105","layer":0}]}
{"id":789,"expression_no_base_symbol":"(⨰⫟⨤($1568$↙$1015$))*($4194$⋫)↺$1763$⨪↰⇹$7955$⇼⇔∾(($1073$⇼⇔∾$4341$)⨳⩥⨓($1269$⇼⇔∾$2114$)⪨≂((⨞⊢$3131$)≋⫹))","expression":"(⨰⫟⨤(⪎⋱⫍938↙⪎⋱⫍601))*(⪎⋱⫍1BA8⋫)↺⪎⋱⫍A58⨪↰⇹⪎⋱⫍380C⇼⇔∾((⪎⋱⫍647⇼⇔∾⪎⋱⫍1C8C)⨳⩥⨓(⪎⋱⫍768⇼⇔∾⪎⋱⫍C68)⪨≂((⨞⊢⪎⋱⫍156B)≋⫹))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":20069,"operation_count":13,"complexity_ratio":1543.7692307692307,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1568,"base":13},"right_expr":{"type":"numeric_atoms","value":1015,"base":13}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":4194,"base":13}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1763,"base":13},"right_expr":{"type":"numeric_atoms","value":7955,"base":13}}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1073,"base":13},"right_expr":{"type":"numeric_atoms","value":4341,"base":13}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1269,"base":13},"right_expr":{"type":"numeric_atoms","value":2114,"base":13}}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":3131,"base":13}}}}},"used_operators":["tifHPKVTfV","9HNa5Wba9A","Tw270M8GLb","yyfyN0ffXY","7j4O788W3g","JL8yIekQnl","tmPS8pqC7x","sdazOOVcIp","nCS4ZIUYfx","N41Kp7NANJ","xUOZtlo3hN"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1568","layer":4},{"info":"number node, value=1015","layer":4},{"info":"compute binary expreesion, left_input=1568, right_input=1015, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3045","layer":3},{"info":"compute unary expreesion, input=-3045, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":2},{"info":"number node, value=4194","layer":4},{"info":"compute unary expreesion, input=4194, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=4194","layer":3},{"info":"number node, value=1763","layer":4},{"info":"number node, value=7955","layer":4},{"info":"compute binary expreesion, left_input=1763, right_input=7955, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1763","layer":3},{"info":"compute binary expreesion, left_input=4194, right_input=1763, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1763","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1763, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=1073","layer":4},{"info":"number node, value=4341","layer":4},{"info":"compute binary expreesion, left_input=1073, right_input=4341, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=3268","layer":3},{"info":"number node, value=1269","layer":4},{"info":"number node, value=2114","layer":4},{"info":"compute binary expreesion, left_input=1269, right_input=2114, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=845","layer":3},{"info":"compute binary expreesion, left_input=3268, right_input=845, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-2423","layer":2},{"info":"number node, value=3131","layer":4},{"info":"compute unary expreesion, input=3131, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-3305","layer":3},{"info":"compute unary expreesion, input=-3305, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=6610","layer":2},{"info":"compute binary expreesion, left_input=-2423, right_input=6610, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-17964","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-17964, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⨰⫟⨤(⪎⋱⫍938↙⪎⋱⫍601))*(⪎⋱⫍1BA8⋫)↺⪎⋱⫍A58⨪↰⇹⪎⋱⫍380C⇼⇔∾((⪎⋱⫍647⇼⇔∾⪎⋱⫍1C8C)⨳⩥⨓(⪎⋱⫍768⇼⇔∾⪎⋱⫍C68)⪨≂((⨞⊢⪎⋱⫍156B)≋⫹))=NaN","reverse_text":"NaN=(⨰⫟⨤(⪎⋱⫍938↙⪎⋱⫍601))*(⪎⋱⫍1BA8⋫)↺⪎⋱⫍A58⨪↰⇹⪎⋱⫍380C⇼⇔∾((⪎⋱⫍647⇼⇔∾⪎⋱⫍1C8C)⨳⩥⨓(⪎⋱⫍768⇼⇔∾⪎⋱⫍C68)⪨≂((⨞⊢⪎⋱⫍156B)≋⫹))","cot":[{"info":"⪎⋱⫍938↙⪎⋱⫍601=⪎⋱⫍-1503","layer":3},{"info":"⨰⫟⨤⪎⋱⫍-1503=NaN","layer":2},{"info":"⪎⋱⫍1BA8⋫=⪎⋱⫍1BA8","layer":3},{"info":"⪎⋱⫍A58⨪↰⇹⪎⋱⫍380C=⪎⋱⫍A58","layer":3},{"info":"⪎⋱⫍1BA8↺⪎⋱⫍A58=⪎⋱⫍A58","layer":2},{"info":"NaN*⪎⋱⫍A58=NaN","layer":1},{"info":"⪎⋱⫍647⇼⇔∾⪎⋱⫍1C8C=⪎⋱⫍1645","layer":3},{"info":"⪎⋱⫍768⇼⇔∾⪎⋱⫍C68=⪎⋱⫍500","layer":3},{"info":"⪎⋱⫍1645⨳⩥⨓⪎⋱⫍500=⪎⋱⫍-1145","layer":2},{"info":"⨞⊢⪎⋱⫍156B=⪎⋱⫍-1673","layer":3},{"info":"⪎⋱⫍-1673≋⫹=⪎⋱⫍3016","layer":2},{"info":"⪎⋱⫍-1145⪨≂⪎⋱⫍3016=⪎⋱⫍-823B","layer":1},{"info":"NaN⇼⇔∾⪎⋱⫍-823B=NaN","layer":0}]}
{"id":790,"expression_no_base_symbol":"(($3773$%$1028$/$2019$≎⊠⪸$4654$)⪒($2763$⇼⇔∾$1933$)⨳⩥⨓($1123$⫩⊇))⇼⇔∾($3503$⨟⋌⩍$4353$)⪢($3421$⊠≄⫣)≭((≉$2217$)≎⊠⪸$1025$⩷∴$4329$)","expression":"((⪎⋱⫍1943%⪎⋱⫍611/⪎⋱⫍BC4≎⊠⪸⪎⋱⫍2170)⪒(⪎⋱⫍1347⇼⇔∾⪎⋱⫍B59)⨳⩥⨓(⪎⋱⫍685⫩⊇))⇼⇔∾(⪎⋱⫍1796⨟⋌⩍⪎⋱⫍1C9B)⪢(⪎⋱⫍1732⊠≄⫣)≭((≉⪎⋱⫍1017)≎⊠⪸⪎⋱⫍60B⩷∴⪎⋱⫍1C80)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":860,"operation_count":15,"complexity_ratio":57.333333333333336,"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":3773,"base":13},"right_expr":{"type":"numeric_atoms","value":1028,"base":13}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2019,"base":13},"right_expr":{"type":"numeric_atoms","value":4654,"base":13}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2763,"base":13},"right_expr":{"type":"numeric_atoms","value":1933,"base":13}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":1123,"base":13}}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":3503,"base":13},"right_expr":{"type":"numeric_atoms","value":4353,"base":13}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":3421,"base":13}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":2217,"base":13}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1025,"base":13},"right_expr":{"type":"numeric_atoms","value":4329,"base":13}}}}},"used_operators":["tifHPKVTfV","f6k1SAg4EE","XhwjNDsVaA","k8jYdgA6NY","bJkvcejdHO","nCS4ZIUYfx","BjRHVeLaeN","rxpJgHHUmx","dWAJyo7jo9","rGHVDoGpnC","DIvbN7qnHd","e1ybzncUwg","9FxExcQeMw"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","k8jYdgA6NY","Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3773","layer":4},{"info":"number node, value=1028","layer":4},{"info":"compute binary expreesion, left_input=3773, right_input=1028, op_id = k8jYdgA6NY binary_op_definition= 'None', output=689","layer":3},{"info":"number node, value=2019","layer":4},{"info":"number node, value=4654","layer":4},{"info":"compute binary expreesion, left_input=2019, right_input=4654, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=522448","layer":3},{"info":"compute binary expreesion, left_input=689, right_input=522448, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":2},{"info":"number node, value=2763","layer":4},{"info":"number node, value=1933","layer":4},{"info":"compute binary expreesion, left_input=2763, right_input=1933, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-830","layer":3},{"info":"number node, value=1123","layer":4},{"info":"compute unary expreesion, input=1123, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-1081","layer":3},{"info":"compute binary expreesion, left_input=-830, right_input=-1081, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-251","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-251, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=251","layer":1},{"info":"number node, value=3503","layer":4},{"info":"number node, value=4353","layer":4},{"info":"compute binary expreesion, left_input=3503, right_input=4353, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=3421","layer":4},{"info":"compute unary expreesion, input=3421, 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 = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(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=2217","layer":4},{"info":"compute unary expreesion, input=2217, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=2748","layer":3},{"info":"number node, value=1025","layer":4},{"info":"number node, value=4329","layer":4},{"info":"compute binary expreesion, left_input=1025, right_input=4329, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-6640","layer":3},{"info":"compute binary expreesion, left_input=2748, right_input=-6640, 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=0, 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 binary expreesion, left_input=251, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍1943%⪎⋱⫍611/⪎⋱⫍BC4≎⊠⪸⪎⋱⫍2170)⪒(⪎⋱⫍1347⇼⇔∾⪎⋱⫍B59)⨳⩥⨓(⪎⋱⫍685⫩⊇))⇼⇔∾(⪎⋱⫍1796⨟⋌⩍⪎⋱⫍1C9B)⪢(⪎⋱⫍1732⊠≄⫣)≭((≉⪎⋱⫍1017)≎⊠⪸⪎⋱⫍60B⩷∴⪎⋱⫍1C80)=NaN","reverse_text":"NaN=((⪎⋱⫍1943%⪎⋱⫍611/⪎⋱⫍BC4≎⊠⪸⪎⋱⫍2170)⪒(⪎⋱⫍1347⇼⇔∾⪎⋱⫍B59)⨳⩥⨓(⪎⋱⫍685⫩⊇))⇼⇔∾(⪎⋱⫍1796⨟⋌⩍⪎⋱⫍1C9B)⪢(⪎⋱⫍1732⊠≄⫣)≭((≉⪎⋱⫍1017)≎⊠⪸⪎⋱⫍60B⩷∴⪎⋱⫍1C80)","cot":[{"info":"⪎⋱⫍1943%⪎⋱⫍611=⪎⋱⫍410","layer":3},{"info":"⪎⋱⫍BC4≎⊠⪸⪎⋱⫍2170=⪎⋱⫍153A54","layer":3},{"info":"⪎⋱⫍410/⪎⋱⫍153A54=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍1347⇼⇔∾⪎⋱⫍B59=⪎⋱⫍-4BB","layer":3},{"info":"⪎⋱⫍685⫩⊇=⪎⋱⫍-652","layer":3},{"info":"⪎⋱⫍-4BB⨳⩥⨓⪎⋱⫍-652=⪎⋱⫍-164","layer":2},{"info":"⪎⋱⫍0⪒⪎⋱⫍-164=⪎⋱⫍164","layer":1},{"info":"⪎⋱⫍1796⨟⋌⩍⪎⋱⫍1C9B=NaN","layer":3},{"info":"⪎⋱⫍1732⊠≄⫣=⪎⋱⫍0","layer":3},{"info":"NaN⪢⪎⋱⫍0=⪎⋱⫍0","layer":2},{"info":"≉⪎⋱⫍1017=⪎⋱⫍1335","layer":3},{"info":"⪎⋱⫍60B⩷∴⪎⋱⫍1C80=⪎⋱⫍-303A","layer":3},{"info":"⪎⋱⫍1335≎⊠⪸⪎⋱⫍-303A=⪎⋱⫍52","layer":2},{"info":"⪎⋱⫍0≭⪎⋱⫍52=NaN","layer":1},{"info":"⪎⋱⫍164⇼⇔∾NaN=NaN","layer":0}]}
{"id":791,"expression_no_base_symbol":"≤/((⫛⫱⨽($1029$⫸⊐$1075$))⇼⇔∾($1311$≧⫂∧$2772$)∑⇟⊟($2262$⨵⪆$8754$))","expression":"≤/((⫛⫱⨽(⪎⋱⫍612⫸⊐⪎⋱⫍649))⇼⇔∾(⪎⋱⫍79B≧⫂∧⪎⋱⫍1353)∑⇟⊟(⪎⋱⫍1050⨵⪆⪎⋱⫍3CA5))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":27260,"operation_count":7,"complexity_ratio":3894.285714285714,"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":1029,"base":13},"right_expr":{"type":"numeric_atoms","value":1075,"base":13}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1311,"base":13},"right_expr":{"type":"numeric_atoms","value":2772,"base":13}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2262,"base":13},"right_expr":{"type":"numeric_atoms","value":8754,"base":13}}}}},"used_operators":["eLAdDNolq6","tifHPKVTfV","DlLNRPXxWL","mqXw5SEYmG","U7g4x0WXJJ","Ph9nP6C5qx","2DQ55sFlQl"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1029","layer":4},{"info":"number node, value=1075","layer":4},{"info":"compute binary expreesion, left_input=1029, right_input=1075, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=4175","layer":3},{"info":"compute unary expreesion, input=4175, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"number node, value=1311","layer":4},{"info":"number node, value=2772","layer":4},{"info":"compute binary expreesion, left_input=1311, right_input=2772, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2299","layer":3},{"info":"number node, value=2262","layer":4},{"info":"number node, value=8754","layer":4},{"info":"compute binary expreesion, left_input=2262, right_input=8754, 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=2299, 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=0, 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 = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"≤/((⫛⫱⨽(⪎⋱⫍612⫸⊐⪎⋱⫍649))⇼⇔∾(⪎⋱⫍79B≧⫂∧⪎⋱⫍1353)∑⇟⊟(⪎⋱⫍1050⨵⪆⪎⋱⫍3CA5))=NaN","reverse_text":"NaN=≤/((⫛⫱⨽(⪎⋱⫍612⫸⊐⪎⋱⫍649))⇼⇔∾(⪎⋱⫍79B≧⫂∧⪎⋱⫍1353)∑⇟⊟(⪎⋱⫍1050⨵⪆⪎⋱⫍3CA5))","cot":[{"info":"⪎⋱⫍612⫸⊐⪎⋱⫍649=⪎⋱⫍1B92","layer":3},{"info":"⫛⫱⨽⪎⋱⫍1B92=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍79B≧⫂∧⪎⋱⫍1353=⪎⋱⫍107B","layer":3},{"info":"⪎⋱⫍1050⨵⪆⪎⋱⫍3CA5=⪎⋱⫍C4","layer":3},{"info":"⪎⋱⫍107B∑⇟⊟⪎⋱⫍C4=NaN","layer":2},{"info":"⪎⋱⫍0⇼⇔∾NaN=NaN","layer":1},{"info":"≤/NaN=NaN","layer":0}]}
{"id":792,"expression_no_base_symbol":"(($4694$⩷∴$2015$)∑⇟⊟($3233$⇼⇔∾$2959$)⫡⨏(($1925$⨸⪁$2335$)⇋≉))⫸⊐(↩(↣≠⋷($5247$⨰$3229$)))","expression":"((⪎⋱⫍21A1⩷∴⪎⋱⫍BC0)∑⇟⊟(⪎⋱⫍1619⇼⇔∾⪎⋱⫍1468)⫡⨏((⪎⋱⫍B51⨸⪁⪎⋱⫍10A8)⇋≉))⫸⊐(↩(↣≠⋷(⪎⋱⫍2508⨰⪎⋱⫍1615)))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":78042,"operation_count":10,"complexity_ratio":7804.2,"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":4694,"base":13},"right_expr":{"type":"numeric_atoms","value":2015,"base":13}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":3233,"base":13},"right_expr":{"type":"numeric_atoms","value":2959,"base":13}}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1925,"base":13},"right_expr":{"type":"numeric_atoms","value":2335,"base":13}}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":5247,"base":13},"right_expr":{"type":"numeric_atoms","value":3229,"base":13}}}}},"used_operators":["mqXw5SEYmG","QMFrweE19q","U7g4x0WXJJ","9FxExcQeMw","tifHPKVTfV","XIabStNQrY","g55IO6H4Gj","jLgFTUHLKL","Asc51vEJeQ","eewbuw0ToL"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=4694","layer":4},{"info":"number node, value=2015","layer":4},{"info":"compute binary expreesion, left_input=4694, right_input=2015, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=5326","layer":3},{"info":"number node, value=3233","layer":4},{"info":"number node, value=2959","layer":4},{"info":"compute binary expreesion, left_input=3233, right_input=2959, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-274","layer":3},{"info":"compute binary expreesion, left_input=5326, right_input=-274, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=1925","layer":4},{"info":"number node, value=2335","layer":4},{"info":"compute binary expreesion, left_input=1925, right_input=2335, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=8520","layer":3},{"info":"compute unary expreesion, input=8520, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=16942","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=16942, op_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=5247","layer":4},{"info":"number node, value=3229","layer":4},{"info":"compute binary expreesion, left_input=5247, right_input=3229, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=2028","layer":3},{"info":"compute unary expreesion, input=2028, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=nan","layer":1},{"info":"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":13,"result_base":13,"text":"((⪎⋱⫍21A1⩷∴⪎⋱⫍BC0)∑⇟⊟(⪎⋱⫍1619⇼⇔∾⪎⋱⫍1468)⫡⨏((⪎⋱⫍B51⨸⪁⪎⋱⫍10A8)⇋≉))⫸⊐(↩(↣≠⋷(⪎⋱⫍2508⨰⪎⋱⫍1615)))=NaN","reverse_text":"NaN=((⪎⋱⫍21A1⩷∴⪎⋱⫍BC0)∑⇟⊟(⪎⋱⫍1619⇼⇔∾⪎⋱⫍1468)⫡⨏((⪎⋱⫍B51⨸⪁⪎⋱⫍10A8)⇋≉))⫸⊐(↩(↣≠⋷(⪎⋱⫍2508⨰⪎⋱⫍1615)))","cot":[{"info":"⪎⋱⫍21A1⩷∴⪎⋱⫍BC0=⪎⋱⫍2569","layer":3},{"info":"⪎⋱⫍1619⇼⇔∾⪎⋱⫍1468=⪎⋱⫍-181","layer":3},{"info":"⪎⋱⫍2569∑⇟⊟⪎⋱⫍-181=NaN","layer":2},{"info":"⪎⋱⫍B51⨸⪁⪎⋱⫍10A8=⪎⋱⫍3B55","layer":3},{"info":"⪎⋱⫍3B55⇋≉=⪎⋱⫍7933","layer":2},{"info":"NaN⫡⨏⪎⋱⫍7933=NaN","layer":1},{"info":"⪎⋱⫍2508⨰⪎⋱⫍1615=⪎⋱⫍C00","layer":3},{"info":"↣≠⋷⪎⋱⫍C00=NaN","layer":2},{"info":"↩NaN=NaN","layer":1},{"info":"NaN⫸⊐NaN=NaN","layer":0}]}
{"id":793,"expression_no_base_symbol":"($1297$⊴$3114$≭$1562$∼$1207$⫡⨏(($8726$⫡⨏$5009$)≦≮≮))⪘⫢((⊙↵-$4000$)⊭↱$1584$⇷$1973$)∀⇚≩($1517$↺$4448$+$3350$⋳⪒$6666$)","expression":"(⪎⋱⫍78A⊴⪎⋱⫍1557≭⪎⋱⫍932∼⪎⋱⫍71B⫡⨏((⪎⋱⫍3C83⫡⨏⪎⋱⫍2384)≦≮≮))⪘⫢((⊙↵-⪎⋱⫍1A89)⊭↱⪎⋱⫍94B⇷⪎⋱⫍B8A)∀⇚≩(⪎⋱⫍8C9↺⪎⋱⫍2042+⪎⋱⫍16A9⋳⪒⪎⋱⫍305A)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":84716,"operation_count":14,"complexity_ratio":6051.142857142857,"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":1297,"base":13},"right_expr":{"type":"numeric_atoms","value":3114,"base":13}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1562,"base":13},"right_expr":{"type":"numeric_atoms","value":1207,"base":13}}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":8726,"base":13},"right_expr":{"type":"numeric_atoms","value":5009,"base":13}}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":4000,"base":13}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1584,"base":13},"right_expr":{"type":"numeric_atoms","value":1973,"base":13}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1517,"base":13},"right_expr":{"type":"numeric_atoms","value":4448,"base":13}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":3350,"base":13},"right_expr":{"type":"numeric_atoms","value":6666,"base":13}}}}},"used_operators":["oacrs7FA3X","QMFrweE19q","rxpJgHHUmx","Nsiff2A1zJ","DyGG3AbaNP","D4vGDi5EA2","LRNGc0VcxI","COABgblf1C","oWn0xqSxBt","mp7IySMOzn","W4YGzv6Whe","7j4O788W3g","12rbrZMWeM"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","dWAJyo7jo9","14qkJME0vr","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1297","layer":4},{"info":"number node, value=3114","layer":4},{"info":"compute binary expreesion, left_input=1297, right_input=3114, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=1562","layer":4},{"info":"number node, value=1207","layer":4},{"info":"compute binary expreesion, left_input=1562, right_input=1207, 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 = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=8726","layer":4},{"info":"number node, value=5009","layer":4},{"info":"compute binary expreesion, left_input=8726, right_input=5009, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=54431","layer":3},{"info":"compute unary expreesion, input=54431, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-163293","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-163293, op_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=4000","layer":4},{"info":"compute unary expreesion, input=4000, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=1584","layer":4},{"info":"number node, value=1973","layer":4},{"info":"compute binary expreesion, left_input=1584, right_input=1973, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3946","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=3946, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=7899","layer":2},{"info":"number node, value=1517","layer":4},{"info":"number node, value=4448","layer":4},{"info":"compute binary expreesion, left_input=1517, right_input=4448, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=4448","layer":3},{"info":"number node, value=3350","layer":4},{"info":"number node, value=6666","layer":4},{"info":"compute binary expreesion, left_input=3350, right_input=6666, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-253","layer":3},{"info":"compute binary expreesion, left_input=4448, right_input=-253, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4195","layer":2},{"info":"compute binary expreesion, left_input=7899, right_input=4195, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = 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":13,"result_base":13,"text":"(⪎⋱⫍78A⊴⪎⋱⫍1557≭⪎⋱⫍932∼⪎⋱⫍71B⫡⨏((⪎⋱⫍3C83⫡⨏⪎⋱⫍2384)≦≮≮))⪘⫢((⊙↵-⪎⋱⫍1A89)⊭↱⪎⋱⫍94B⇷⪎⋱⫍B8A)∀⇚≩(⪎⋱⫍8C9↺⪎⋱⫍2042+⪎⋱⫍16A9⋳⪒⪎⋱⫍305A)=NaN","reverse_text":"NaN=(⪎⋱⫍78A⊴⪎⋱⫍1557≭⪎⋱⫍932∼⪎⋱⫍71B⫡⨏((⪎⋱⫍3C83⫡⨏⪎⋱⫍2384)≦≮≮))⪘⫢((⊙↵-⪎⋱⫍1A89)⊭↱⪎⋱⫍94B⇷⪎⋱⫍B8A)∀⇚≩(⪎⋱⫍8C9↺⪎⋱⫍2042+⪎⋱⫍16A9⋳⪒⪎⋱⫍305A)","cot":[{"info":"⪎⋱⫍78A⊴⪎⋱⫍1557=NaN","layer":3},{"info":"⪎⋱⫍932∼⪎⋱⫍71B=NaN","layer":3},{"info":"NaN≭NaN=NaN","layer":2},{"info":"⪎⋱⫍3C83⫡⨏⪎⋱⫍2384=⪎⋱⫍1BA10","layer":3},{"info":"⪎⋱⫍1BA10≦≮≮=⪎⋱⫍-59430","layer":2},{"info":"NaN⫡⨏⪎⋱⫍-59430=NaN","layer":1},{"info":"⊙↵-⪎⋱⫍1A89=⪎⋱⫍-1","layer":3},{"info":"⪎⋱⫍94B⇷⪎⋱⫍B8A=⪎⋱⫍1A47","layer":3},{"info":"⪎⋱⫍-1⊭↱⪎⋱⫍1A47=⪎⋱⫍3798","layer":2},{"info":"⪎⋱⫍8C9↺⪎⋱⫍2042=⪎⋱⫍2042","layer":3},{"info":"⪎⋱⫍16A9⋳⪒⪎⋱⫍305A=⪎⋱⫍-166","layer":3},{"info":"⪎⋱⫍2042+⪎⋱⫍-166=⪎⋱⫍1BA9","layer":2},{"info":"⪎⋱⫍3798∀⇚≩⪎⋱⫍1BA9=NaN","layer":1},{"info":"NaN⪘⫢NaN=NaN","layer":0}]}
{"id":794,"expression_no_base_symbol":"⫓⪴($3902$⇷$1718$⩷∴($5576$⩚⊴⇥$1748$)+⇶⊼(($2619$/$4400$)⨳⩥⨓($2458$⪐)))","expression":"⫓⪴(⪎⋱⫍1A12⇷⪎⋱⫍A22⩷∴(⪎⋱⫍26CC⩚⊴⇥⪎⋱⫍A46)+⇶⊼((⪎⋱⫍1266/⪎⋱⫍2006)⨳⩥⨓(⪎⋱⫍1171⪐)))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":54651,"operation_count":8,"complexity_ratio":6831.375,"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":3902,"base":13},"right_expr":{"type":"numeric_atoms","value":1718,"base":13}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":5576,"base":13},"right_expr":{"type":"numeric_atoms","value":1748,"base":13}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2619,"base":13},"right_expr":{"type":"numeric_atoms","value":4400,"base":13}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":2458,"base":13}}}}},"used_operators":["eLxqMNBOBk","TpPTUOHfaN","9FxExcQeMw","mp7IySMOzn","NTOWxs364D","nCS4ZIUYfx","XhwjNDsVaA","eH2TOUuTDT"],"dependent_operators":["9HNa5Wba9A","AHs5Up7iyr","rysDP5nf3Z","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3902","layer":4},{"info":"number node, value=1718","layer":4},{"info":"compute binary expreesion, left_input=3902, right_input=1718, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3436","layer":3},{"info":"number node, value=5576","layer":4},{"info":"number node, value=1748","layer":4},{"info":"compute binary expreesion, left_input=5576, right_input=1748, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-7445","layer":3},{"info":"compute binary expreesion, left_input=3436, right_input=-7445, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=21730","layer":2},{"info":"number node, value=2619","layer":4},{"info":"number node, value=4400","layer":4},{"info":"compute binary expreesion, left_input=2619, right_input=4400, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=2458","layer":4},{"info":"compute unary expreesion, input=2458, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=4916","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=4916, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=4916","layer":2},{"info":"compute binary expreesion, left_input=21730, right_input=4916, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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":13,"result_base":13,"text":"⫓⪴(⪎⋱⫍1A12⇷⪎⋱⫍A22⩷∴(⪎⋱⫍26CC⩚⊴⇥⪎⋱⫍A46)+⇶⊼((⪎⋱⫍1266/⪎⋱⫍2006)⨳⩥⨓(⪎⋱⫍1171⪐)))=NaN","reverse_text":"NaN=⫓⪴(⪎⋱⫍1A12⇷⪎⋱⫍A22⩷∴(⪎⋱⫍26CC⩚⊴⇥⪎⋱⫍A46)+⇶⊼((⪎⋱⫍1266/⪎⋱⫍2006)⨳⩥⨓(⪎⋱⫍1171⪐)))","cot":[{"info":"⪎⋱⫍1A12⇷⪎⋱⫍A22=⪎⋱⫍1744","layer":3},{"info":"⪎⋱⫍26CC⩚⊴⇥⪎⋱⫍A46=⪎⋱⫍-3509","layer":3},{"info":"⪎⋱⫍1744⩷∴⪎⋱⫍-3509=⪎⋱⫍9B77","layer":2},{"info":"⪎⋱⫍1266/⪎⋱⫍2006=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍1171⪐=⪎⋱⫍2312","layer":3},{"info":"⪎⋱⫍0⨳⩥⨓⪎⋱⫍2312=⪎⋱⫍2312","layer":2},{"info":"⪎⋱⫍9B77+⇶⊼⪎⋱⫍2312=NaN","layer":1},{"info":"⫓⪴NaN=NaN","layer":0}]}
{"id":795,"expression_no_base_symbol":"(⨈⫕$1186$∼$7910$)↺($3938$↺$1789$)⋓$2699$⨓$1078$⪒((-($3642$⨵⪆$9239$))⫡⨏($1631$≎⊠⪸$1199$+$8004$⨎$1060$))","expression":"(⨈⫕⪎⋱⫍703∼⪎⋱⫍37A6)↺(⪎⋱⫍1A3C↺⪎⋱⫍A78)⋓⪎⋱⫍12C8⨓⪎⋱⫍64C⪒((-(⪎⋱⫍1872⨵⪆⪎⋱⫍4289))⫡⨏(⪎⋱⫍986≎⊠⪸⪎⋱⫍713+⪎⋱⫍3849⨎⪎⋱⫍637))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1796,"operation_count":13,"complexity_ratio":138.15384615384616,"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":1186,"base":13},"right_expr":{"type":"numeric_atoms","value":7910,"base":13}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":3938,"base":13},"right_expr":{"type":"numeric_atoms","value":1789,"base":13}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2699,"base":13},"right_expr":{"type":"numeric_atoms","value":1078,"base":13}}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":3642,"base":13},"right_expr":{"type":"numeric_atoms","value":9239,"base":13}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1631,"base":13},"right_expr":{"type":"numeric_atoms","value":1199,"base":13}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":8004,"base":13},"right_expr":{"type":"numeric_atoms","value":1060,"base":13}}}}},"used_operators":["f6k1SAg4EE","7j4O788W3g","megm06wKyl","DyGG3AbaNP","T2fj7uvVaJ","3ViojmjbAp","QMFrweE19q","t8gj7n24qd","2DQ55sFlQl","W4YGzv6Whe","bJkvcejdHO","rJVOvQCfKK"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"⪎⋱⫍-238101","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1186","layer":4},{"info":"number node, value=7910","layer":4},{"info":"compute binary expreesion, left_input=1186, right_input=7910, 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 = 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=3938","layer":4},{"info":"number node, value=1789","layer":4},{"info":"compute binary expreesion, left_input=3938, right_input=1789, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1789","layer":3},{"info":"number node, value=2699","layer":4},{"info":"number node, value=1078","layer":4},{"info":"compute binary expreesion, left_input=2699, right_input=1078, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1081","layer":3},{"info":"compute binary expreesion, left_input=1789, right_input=-1081, op_id = T2fj7uvVaJ binary_op_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=-21, right_input=0, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=0","layer":1},{"info":"number node, value=3642","layer":4},{"info":"number node, value=9239","layer":4},{"info":"compute binary expreesion, left_input=3642, right_input=9239, 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 = t8gj7n24qd, unary_op_definition = 'None', output=-160","layer":2},{"info":"number node, value=1631","layer":4},{"info":"number node, value=1199","layer":4},{"info":"compute binary expreesion, left_input=1631, right_input=1199, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=421956","layer":3},{"info":"number node, value=8004","layer":4},{"info":"number node, value=1060","layer":4},{"info":"compute binary expreesion, left_input=8004, right_input=1060, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1060","layer":3},{"info":"compute binary expreesion, left_input=421956, right_input=1060, op_id = W4YGzv6Whe binary_op_definition= 'None', output=423016","layer":2},{"info":"compute binary expreesion, left_input=-160, right_input=423016, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=846015","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=846015, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-846015","layer":0}],"base":13,"result_base":13,"text":"(⨈⫕⪎⋱⫍703∼⪎⋱⫍37A6)↺(⪎⋱⫍1A3C↺⪎⋱⫍A78)⋓⪎⋱⫍12C8⨓⪎⋱⫍64C⪒((-(⪎⋱⫍1872⨵⪆⪎⋱⫍4289))⫡⨏(⪎⋱⫍986≎⊠⪸⪎⋱⫍713+⪎⋱⫍3849⨎⪎⋱⫍637))=⪎⋱⫍-238101","reverse_text":"⪎⋱⫍-238101=(⨈⫕⪎⋱⫍703∼⪎⋱⫍37A6)↺(⪎⋱⫍1A3C↺⪎⋱⫍A78)⋓⪎⋱⫍12C8⨓⪎⋱⫍64C⪒((-(⪎⋱⫍1872⨵⪆⪎⋱⫍4289))⫡⨏(⪎⋱⫍986≎⊠⪸⪎⋱⫍713+⪎⋱⫍3849⨎⪎⋱⫍637))","cot":[{"info":"⪎⋱⫍703∼⪎⋱⫍37A6=NaN","layer":3},{"info":"⨈⫕NaN=⪎⋱⫍-18","layer":2},{"info":"⪎⋱⫍1A3C↺⪎⋱⫍A78=⪎⋱⫍A78","layer":3},{"info":"⪎⋱⫍12C8⨓⪎⋱⫍64C=⪎⋱⫍-652","layer":3},{"info":"⪎⋱⫍A78⋓⪎⋱⫍-652=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍-18↺⪎⋱⫍0=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍1872⨵⪆⪎⋱⫍4289=⪎⋱⫍C4","layer":3},{"info":"-⪎⋱⫍C4=⪎⋱⫍-C4","layer":2},{"info":"⪎⋱⫍986≎⊠⪸⪎⋱⫍713=⪎⋱⫍11A0A2","layer":3},{"info":"⪎⋱⫍3849⨎⪎⋱⫍637=⪎⋱⫍637","layer":3},{"info":"⪎⋱⫍11A0A2+⪎⋱⫍637=⪎⋱⫍11A709","layer":2},{"info":"⪎⋱⫍-C4⫡⨏⪎⋱⫍11A709=⪎⋱⫍238101","layer":1},{"info":"⪎⋱⫍0⪒⪎⋱⫍238101=⪎⋱⫍-238101","layer":0}]}
{"id":796,"expression_no_base_symbol":"⫛⫱⨽(($1570$⨪↰⇹$1537$⊉≛↸$4130$⫥∨⫟$1488$)≹⇙⪍(($6985$≣⋋)⨪↰⇹$1383$⪢$2705$))","expression":"⫛⫱⨽((⪎⋱⫍93A⨪↰⇹⪎⋱⫍913⊉≛↸⪎⋱⫍1B59⫥∨⫟⪎⋱⫍8A6)≹⇙⪍((⪎⋱⫍3244≣⋋)⨪↰⇹⪎⋱⫍825⪢⪎⋱⫍1301))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":6369,"operation_count":8,"complexity_ratio":796.125,"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":1570,"base":13},"right_expr":{"type":"numeric_atoms","value":1537,"base":13}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":4130,"base":13},"right_expr":{"type":"numeric_atoms","value":1488,"base":13}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":6985,"base":13}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1383,"base":13},"right_expr":{"type":"numeric_atoms","value":2705,"base":13}}}}},"used_operators":["DlLNRPXxWL","AHs5Up7iyr","DZ8iAZOCBD","tmPS8pqC7x","KYD54nUTWz","Tcnh7f0tEr","dWAJyo7jo9"],"dependent_operators":["rGHVDoGpnC","dWAJyo7jo9","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","8HhzD0ZcuI","rGHVDoGpnC","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","k8jYdgA6NY"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1570","layer":4},{"info":"number node, value=1537","layer":4},{"info":"compute binary expreesion, left_input=1570, right_input=1537, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1570","layer":3},{"info":"number node, value=4130","layer":4},{"info":"number node, value=1488","layer":4},{"info":"compute binary expreesion, left_input=4130, right_input=1488, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1570, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3140","layer":2},{"info":"number node, value=6985","layer":4},{"info":"compute unary expreesion, input=6985, 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=1383","layer":4},{"info":"number node, value=2705","layer":4},{"info":"compute binary expreesion, left_input=1383, right_input=2705, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((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=3140, 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=3140","layer":1},{"info":"compute unary expreesion, input=3140, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":0}],"base":13,"result_base":13,"text":"⫛⫱⨽((⪎⋱⫍93A⨪↰⇹⪎⋱⫍913⊉≛↸⪎⋱⫍1B59⫥∨⫟⪎⋱⫍8A6)≹⇙⪍((⪎⋱⫍3244≣⋋)⨪↰⇹⪎⋱⫍825⪢⪎⋱⫍1301))=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=⫛⫱⨽((⪎⋱⫍93A⨪↰⇹⪎⋱⫍913⊉≛↸⪎⋱⫍1B59⫥∨⫟⪎⋱⫍8A6)≹⇙⪍((⪎⋱⫍3244≣⋋)⨪↰⇹⪎⋱⫍825⪢⪎⋱⫍1301))","cot":[{"info":"⪎⋱⫍93A⨪↰⇹⪎⋱⫍913=⪎⋱⫍93A","layer":3},{"info":"⪎⋱⫍1B59⫥∨⫟⪎⋱⫍8A6=NaN","layer":3},{"info":"⪎⋱⫍93A⊉≛↸NaN=⪎⋱⫍1577","layer":2},{"info":"⪎⋱⫍3244≣⋋=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍825⪢⪎⋱⫍1301=NaN","layer":3},{"info":"⪎⋱⫍0⨪↰⇹NaN=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍1577≹⇙⪍⪎⋱⫍0=⪎⋱⫍1577","layer":1},{"info":"⫛⫱⨽⪎⋱⫍1577=⪎⋱⫍0","layer":0}]}
{"id":797,"expression_no_base_symbol":"⊙↵-(($1398$∀⇚≩$1498$)⨪↰⇹(≉$1372$)≎⊠⪸($6628$⨳⩥⨓$3763$↺(↯⪼$1017$)))","expression":"⊙↵-((⪎⋱⫍837∀⇚≩⪎⋱⫍8B3)⨪↰⇹(≉⪎⋱⫍817)≎⊠⪸(⪎⋱⫍302B⨳⩥⨓⪎⋱⫍1936↺(↯⪼⪎⋱⫍603)))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":9864,"operation_count":8,"complexity_ratio":1233.0,"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":1398,"base":13},"right_expr":{"type":"numeric_atoms","value":1498,"base":13}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1372,"base":13}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":6628,"base":13},"right_expr":{"type":"numeric_atoms","value":3763,"base":13}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1017,"base":13}}}}},"used_operators":["oWn0xqSxBt","bJkvcejdHO","tmPS8pqC7x","LRNGc0VcxI","e1ybzncUwg","7j4O788W3g","nCS4ZIUYfx","8jW3W4yZS5"],"dependent_operators":["dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rJVOvQCfKK","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1398","layer":4},{"info":"number node, value=1498","layer":4},{"info":"compute binary expreesion, left_input=1398, right_input=1498, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=1372","layer":4},{"info":"compute unary expreesion, input=1372, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=1903","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1903, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((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=6628","layer":4},{"info":"number node, value=3763","layer":4},{"info":"compute binary expreesion, left_input=6628, right_input=3763, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-2865","layer":3},{"info":"number node, value=1017","layer":4},{"info":"compute unary expreesion, input=1017, 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=-2865, right_input=-21, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-21","layer":2},{"info":"compute 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 unary expreesion, input=nan, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⊙↵-((⪎⋱⫍837∀⇚≩⪎⋱⫍8B3)⨪↰⇹(≉⪎⋱⫍817)≎⊠⪸(⪎⋱⫍302B⨳⩥⨓⪎⋱⫍1936↺(↯⪼⪎⋱⫍603)))=NaN","reverse_text":"NaN=⊙↵-((⪎⋱⫍837∀⇚≩⪎⋱⫍8B3)⨪↰⇹(≉⪎⋱⫍817)≎⊠⪸(⪎⋱⫍302B⨳⩥⨓⪎⋱⫍1936↺(↯⪼⪎⋱⫍603)))","cot":[{"info":"⪎⋱⫍837∀⇚≩⪎⋱⫍8B3=NaN","layer":3},{"info":"≉⪎⋱⫍817=⪎⋱⫍B35","layer":3},{"info":"NaN⨪↰⇹⪎⋱⫍B35=NaN","layer":2},{"info":"⪎⋱⫍302B⨳⩥⨓⪎⋱⫍1936=⪎⋱⫍-13C5","layer":3},{"info":"↯⪼⪎⋱⫍603=⪎⋱⫍-18","layer":3},{"info":"⪎⋱⫍-13C5↺⪎⋱⫍-18=⪎⋱⫍-18","layer":2},{"info":"NaN≎⊠⪸⪎⋱⫍-18=NaN","layer":1},{"info":"⊙↵-NaN=NaN","layer":0}]}
{"id":798,"expression_no_base_symbol":"((⊥(+⊝⨔$3696$))↛⩡⫤)⋓((↯⪼$5160$)⨽$4165$⨰$4258$⋷($4416$⋥≓≎$2850$)⋳⪒$1973$⪢$1240$)","expression":"((⊥(+⊝⨔⪎⋱⫍18B4))↛⩡⫤)⋓((↯⪼⪎⋱⫍246C)⨽⪎⋱⫍1B85⨰⪎⋱⫍1C27⋷(⪎⋱⫍2019⋥≓≎⪎⋱⫍13B3)⋳⪒⪎⋱⫍B8A⪢⪎⋱⫍745)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":5534,"operation_count":11,"complexity_ratio":503.09090909090907,"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":3696,"base":13}}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":5160,"base":13}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":4165,"base":13},"right_expr":{"type":"numeric_atoms","value":4258,"base":13}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":4416,"base":13},"right_expr":{"type":"numeric_atoms","value":2850,"base":13}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1973,"base":13},"right_expr":{"type":"numeric_atoms","value":1240,"base":13}}}}},"used_operators":["T2fj7uvVaJ","FU0Cs4j7VP","Q3PJZHRvZv","DhbWaqg5eL","23Mk6UjR3U","8HhzD0ZcuI","8jW3W4yZS5","eewbuw0ToL","12rbrZMWeM","Qy55tPpLXF","dWAJyo7jo9"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","fu6greOZ01","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=3696","layer":4},{"info":"compute unary expreesion, input=3696, 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 = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=nan","layer":1},{"info":"number node, value=5160","layer":4},{"info":"compute unary expreesion, input=5160, 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=4165","layer":4},{"info":"number node, value=4258","layer":4},{"info":"compute binary expreesion, left_input=4165, right_input=4258, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-83","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=-83, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=240","layer":2},{"info":"number node, value=4416","layer":4},{"info":"number node, value=2850","layer":4},{"info":"compute binary expreesion, left_input=4416, right_input=2850, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=1317","layer":3},{"info":"number node, value=1973","layer":4},{"info":"number node, value=1240","layer":4},{"info":"compute binary expreesion, left_input=1973, right_input=1240, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=1317, 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=240, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-480","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-480, op_id = T2fj7uvVaJ binary_op_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":13,"result_base":13,"text":"((⊥(+⊝⨔⪎⋱⫍18B4))↛⩡⫤)⋓((↯⪼⪎⋱⫍246C)⨽⪎⋱⫍1B85⨰⪎⋱⫍1C27⋷(⪎⋱⫍2019⋥≓≎⪎⋱⫍13B3)⋳⪒⪎⋱⫍B8A⪢⪎⋱⫍745)=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=((⊥(+⊝⨔⪎⋱⫍18B4))↛⩡⫤)⋓((↯⪼⪎⋱⫍246C)⨽⪎⋱⫍1B85⨰⪎⋱⫍1C27⋷(⪎⋱⫍2019⋥≓≎⪎⋱⫍13B3)⋳⪒⪎⋱⫍B8A⪢⪎⋱⫍745)","cot":[{"info":"+⊝⨔⪎⋱⫍18B4=⪎⋱⫍901","layer":3},{"info":"⊥⪎⋱⫍901=NaN","layer":2},{"info":"NaN↛⩡⫤=NaN","layer":1},{"info":"↯⪼⪎⋱⫍246C=⪎⋱⫍-18","layer":3},{"info":"⪎⋱⫍1B85⨰⪎⋱⫍1C27=⪎⋱⫍-65","layer":3},{"info":"⪎⋱⫍-18⨽⪎⋱⫍-65=⪎⋱⫍156","layer":2},{"info":"⪎⋱⫍2019⋥≓≎⪎⋱⫍13B3=⪎⋱⫍7A4","layer":3},{"info":"⪎⋱⫍B8A⪢⪎⋱⫍745=NaN","layer":3},{"info":"⪎⋱⫍7A4⋳⪒NaN=NaN","layer":2},{"info":"⪎⋱⫍156⋷NaN=⪎⋱⫍-2AC","layer":1},{"info":"NaN⋓⪎⋱⫍-2AC=⪎⋱⫍0","layer":0}]}
{"id":799,"expression_no_base_symbol":"(($4604$⊉≛↸$1119$)⪢$3565$⨟⋌⩍$1073$⊉≛↸(⊙↵-$1181$⨟⋌⩍$3356$))⩚⊴⇥((+⊝⨔(↥$3249$))↺(+⊝⨔(⋗⩬⋾$1205$)))","expression":"((⪎⋱⫍2132⊉≛↸⪎⋱⫍681)⪢⪎⋱⫍1813⨟⋌⩍⪎⋱⫍647⊉≛↸(⊙↵-⪎⋱⫍6CB⨟⋌⩍⪎⋱⫍16B2))⩚⊴⇥((+⊝⨔(↥⪎⋱⫍162C))↺(+⊝⨔(⋗⩬⋾⪎⋱⫍719)))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":145,"operation_count":12,"complexity_ratio":12.083333333333334,"tree":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":4604,"base":13},"right_expr":{"type":"numeric_atoms","value":1119,"base":13}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":3565,"base":13},"right_expr":{"type":"numeric_atoms","value":1073,"base":13}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1181,"base":13},"right_expr":{"type":"numeric_atoms","value":3356,"base":13}}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":3249,"base":13}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1205,"base":13}}}}},"used_operators":["NTOWxs364D","DZ8iAZOCBD","dWAJyo7jo9","rGHVDoGpnC","oWn0xqSxBt","7j4O788W3g","DhbWaqg5eL","A8NUZmVepG","DpFCA1CohY"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","Tcnh7f0tEr","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4604","layer":4},{"info":"number node, value=1119","layer":4},{"info":"compute binary expreesion, left_input=4604, right_input=1119, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=9208","layer":3},{"info":"number node, value=3565","layer":4},{"info":"number node, value=1073","layer":4},{"info":"compute binary expreesion, left_input=3565, right_input=1073, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=9208, 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=1181","layer":4},{"info":"number node, value=3356","layer":4},{"info":"compute binary expreesion, left_input=1181, right_input=3356, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":1},{"info":"number node, value=3249","layer":4},{"info":"compute unary expreesion, input=3249, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=36","layer":3},{"info":"compute unary expreesion, input=36, 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=1205","layer":4},{"info":"compute unary expreesion, input=1205, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-3615","layer":3},{"info":"compute unary expreesion, input=-3615, 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":"compute binary expreesion, left_input=nan, right_input=1522, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍2132⊉≛↸⪎⋱⫍681)⪢⪎⋱⫍1813⨟⋌⩍⪎⋱⫍647⊉≛↸(⊙↵-⪎⋱⫍6CB⨟⋌⩍⪎⋱⫍16B2))⩚⊴⇥((+⊝⨔(↥⪎⋱⫍162C))↺(+⊝⨔(⋗⩬⋾⪎⋱⫍719)))=NaN","reverse_text":"NaN=((⪎⋱⫍2132⊉≛↸⪎⋱⫍681)⪢⪎⋱⫍1813⨟⋌⩍⪎⋱⫍647⊉≛↸(⊙↵-⪎⋱⫍6CB⨟⋌⩍⪎⋱⫍16B2))⩚⊴⇥((+⊝⨔(↥⪎⋱⫍162C))↺(+⊝⨔(⋗⩬⋾⪎⋱⫍719)))","cot":[{"info":"⪎⋱⫍2132⊉≛↸⪎⋱⫍681=⪎⋱⫍4264","layer":3},{"info":"⪎⋱⫍1813⨟⋌⩍⪎⋱⫍647=NaN","layer":3},{"info":"⪎⋱⫍4264⪢NaN=NaN","layer":2},{"info":"⪎⋱⫍6CB⨟⋌⩍⪎⋱⫍16B2=NaN","layer":3},{"info":"⊙↵-NaN=NaN","layer":2},{"info":"NaN⊉≛↸NaN=NaN","layer":1},{"info":"↥⪎⋱⫍162C=⪎⋱⫍2A","layer":3},{"info":"+⊝⨔⪎⋱⫍2A=⪎⋱⫍901","layer":2},{"info":"⋗⩬⋾⪎⋱⫍719=⪎⋱⫍-1851","layer":3},{"info":"+⊝⨔⪎⋱⫍-1851=⪎⋱⫍901","layer":2},{"info":"⪎⋱⫍901↺⪎⋱⫍901=⪎⋱⫍901","layer":1},{"info":"NaN⩚⊴⇥⪎⋱⫍901=NaN","layer":0}]}
{"id":800,"expression_no_base_symbol":"(⊄⩳↩($2620$%$5935$)⇷($1550$⩨$2422$))⊭↱($2832$≧⫂∧$1692$⋥≓≎(⨰⫟⨤$3687$)≋⫹)","expression":"(⊄⩳↩(⪎⋱⫍1267%⪎⋱⫍2917)⇷(⪎⋱⫍923⩨⪎⋱⫍1144))⊭↱(⪎⋱⫍139B≧⫂∧⪎⋱⫍A02⋥≓≎(⨰⫟⨤⪎⋱⫍18A8)≋⫹)","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":50616,"operation_count":9,"complexity_ratio":5624.0,"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":2620,"base":13},"right_expr":{"type":"numeric_atoms","value":5935,"base":13}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1550,"base":13},"right_expr":{"type":"numeric_atoms","value":2422,"base":13}}}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2832,"base":13},"right_expr":{"type":"numeric_atoms","value":1692,"base":13}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":3687,"base":13}}}}},"used_operators":["COABgblf1C","8w2t5hMYqp","mp7IySMOzn","k8jYdgA6NY","2DlMacCsIx","N41Kp7NANJ","Qy55tPpLXF","Ph9nP6C5qx","Tw270M8GLb"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2620","layer":4},{"info":"number node, value=5935","layer":4},{"info":"compute binary expreesion, left_input=2620, right_input=5935, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2620","layer":3},{"info":"number node, value=1550","layer":4},{"info":"number node, value=2422","layer":4},{"info":"compute binary expreesion, left_input=1550, right_input=2422, 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=2620, right_input=-3, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=-6","layer":2},{"info":"compute unary expreesion, input=-6, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=18","layer":1},{"info":"number node, value=2832","layer":4},{"info":"number node, value=1692","layer":4},{"info":"compute binary expreesion, left_input=2832, right_input=1692, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1219","layer":3},{"info":"number node, value=3687","layer":4},{"info":"compute unary expreesion, input=3687, 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=1219, 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 unary expreesion, input=nan, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=18, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⊄⩳↩(⪎⋱⫍1267%⪎⋱⫍2917)⇷(⪎⋱⫍923⩨⪎⋱⫍1144))⊭↱(⪎⋱⫍139B≧⫂∧⪎⋱⫍A02⋥≓≎(⨰⫟⨤⪎⋱⫍18A8)≋⫹)=NaN","reverse_text":"NaN=(⊄⩳↩(⪎⋱⫍1267%⪎⋱⫍2917)⇷(⪎⋱⫍923⩨⪎⋱⫍1144))⊭↱(⪎⋱⫍139B≧⫂∧⪎⋱⫍A02⋥≓≎(⨰⫟⨤⪎⋱⫍18A8)≋⫹)","cot":[{"info":"⪎⋱⫍1267%⪎⋱⫍2917=⪎⋱⫍1267","layer":3},{"info":"⪎⋱⫍923⩨⪎⋱⫍1144=⪎⋱⫍-3","layer":3},{"info":"⪎⋱⫍1267⇷⪎⋱⫍-3=⪎⋱⫍-6","layer":2},{"info":"⊄⩳↩⪎⋱⫍-6=⪎⋱⫍15","layer":1},{"info":"⪎⋱⫍139B≧⫂∧⪎⋱⫍A02=⪎⋱⫍72A","layer":3},{"info":"⨰⫟⨤⪎⋱⫍18A8=NaN","layer":3},{"info":"⪎⋱⫍72A⋥≓≎NaN=NaN","layer":2},{"info":"NaN≋⫹=NaN","layer":1},{"info":"⪎⋱⫍15⊭↱NaN=NaN","layer":0}]}
{"id":801,"expression_no_base_symbol":"↯⪼(($4631$⫡⨏$2901$)⩨$4323$⋝⋈⪟$2487$/($1553$⋷$1634$)⊭↱$6844$∼$4126$)","expression":"↯⪼((⪎⋱⫍2153⫡⨏⪎⋱⫍1422)⩨⪎⋱⫍1C77⋝⋈⪟⪎⋱⫍1194/(⪎⋱⫍926⋷⪎⋱⫍989)⊭↱⪎⋱⫍3166∼⪎⋱⫍1B55)","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":191,"operation_count":8,"complexity_ratio":23.875,"tree":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":4631,"base":13},"right_expr":{"type":"numeric_atoms","value":2901,"base":13}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":4323,"base":13},"right_expr":{"type":"numeric_atoms","value":2487,"base":13}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1553,"base":13},"right_expr":{"type":"numeric_atoms","value":1634,"base":13}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":6844,"base":13},"right_expr":{"type":"numeric_atoms","value":4126,"base":13}}}}},"used_operators":["8jW3W4yZS5","XhwjNDsVaA","2DlMacCsIx","QMFrweE19q","2DDjHMKMc0","COABgblf1C","23Mk6UjR3U","DyGG3AbaNP"],"dependent_operators":["eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"⪎⋱⫍-18","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4631","layer":4},{"info":"number node, value=2901","layer":4},{"info":"compute binary expreesion, left_input=4631, right_input=2901, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=29740","layer":3},{"info":"number node, value=4323","layer":4},{"info":"number node, value=2487","layer":4},{"info":"compute binary expreesion, left_input=4323, right_input=2487, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=4323","layer":3},{"info":"compute binary expreesion, left_input=29740, right_input=4323, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":2},{"info":"number node, value=1553","layer":4},{"info":"number node, value=1634","layer":4},{"info":"compute binary expreesion, left_input=1553, right_input=1634, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=1715","layer":3},{"info":"number node, value=6844","layer":4},{"info":"number node, value=4126","layer":4},{"info":"compute binary expreesion, left_input=6844, right_input=4126, 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=1715, 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=0, right_input=nan, op_id = XhwjNDsVaA 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":13,"result_base":13,"text":"↯⪼((⪎⋱⫍2153⫡⨏⪎⋱⫍1422)⩨⪎⋱⫍1C77⋝⋈⪟⪎⋱⫍1194/(⪎⋱⫍926⋷⪎⋱⫍989)⊭↱⪎⋱⫍3166∼⪎⋱⫍1B55)=⪎⋱⫍-18","reverse_text":"⪎⋱⫍-18=↯⪼((⪎⋱⫍2153⫡⨏⪎⋱⫍1422)⩨⪎⋱⫍1C77⋝⋈⪟⪎⋱⫍1194/(⪎⋱⫍926⋷⪎⋱⫍989)⊭↱⪎⋱⫍3166∼⪎⋱⫍1B55)","cot":[{"info":"⪎⋱⫍2153⫡⨏⪎⋱⫍1422=⪎⋱⫍106C9","layer":3},{"info":"⪎⋱⫍1C77⋝⋈⪟⪎⋱⫍1194=⪎⋱⫍1C77","layer":3},{"info":"⪎⋱⫍106C9⩨⪎⋱⫍1C77=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍926⋷⪎⋱⫍989=⪎⋱⫍A1C","layer":3},{"info":"⪎⋱⫍3166∼⪎⋱⫍1B55=NaN","layer":3},{"info":"⪎⋱⫍A1C⊭↱NaN=NaN","layer":2},{"info":"⪎⋱⫍0/NaN=NaN","layer":1},{"info":"↯⪼NaN=⪎⋱⫍-18","layer":0}]}
{"id":802,"expression_no_base_symbol":"($2964$⩷∴$1497$⨳⩥⨓($1005$%$2549$))⨐⩸⫘($1041$↬$1208$⪄($7599$⪒$1586$))⪒($6925$⪮%⊝$2617$⊭↱$8503$↙$4279$)≭($6223$↙$2844$⫸⊐$1320$⨪↰⇹$1932$)","expression":"(⪎⋱⫍1470⩷∴⪎⋱⫍8B2⨳⩥⨓(⪎⋱⫍5C4%⪎⋱⫍1211))⨐⩸⫘(⪎⋱⫍621↬⪎⋱⫍71C⪄(⪎⋱⫍35C7⪒⪎⋱⫍950))⪒(⪎⋱⫍31C9⪮%⊝⪎⋱⫍1264⊭↱⪎⋱⫍3B41↙⪎⋱⫍1C42)≭(⪎⋱⫍2AA9↙⪎⋱⫍13AA⫸⊐⪎⋱⫍7A7⨪↰⇹⪎⋱⫍B58)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":8508,"operation_count":15,"complexity_ratio":567.2,"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":2964,"base":13},"right_expr":{"type":"numeric_atoms","value":1497,"base":13}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1005,"base":13},"right_expr":{"type":"numeric_atoms","value":2549,"base":13}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1041,"base":13},"right_expr":{"type":"numeric_atoms","value":1208,"base":13}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":7599,"base":13},"right_expr":{"type":"numeric_atoms","value":1586,"base":13}}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":6925,"base":13},"right_expr":{"type":"numeric_atoms","value":2617,"base":13}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":8503,"base":13},"right_expr":{"type":"numeric_atoms","value":4279,"base":13}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":6223,"base":13},"right_expr":{"type":"numeric_atoms","value":2844,"base":13}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1320,"base":13},"right_expr":{"type":"numeric_atoms","value":1932,"base":13}}}}},"used_operators":["f6k1SAg4EE","fu6greOZ01","nCS4ZIUYfx","9FxExcQeMw","k8jYdgA6NY","SUmda5xLS4","B5M0gjZbta","rxpJgHHUmx","COABgblf1C","IWmyXbctLI","yyfyN0ffXY","mqXw5SEYmG","tmPS8pqC7x"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","rysDP5nf3Z","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rGHVDoGpnC","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","tmPS8pqC7x","DpFCA1CohY","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2964","layer":4},{"info":"number node, value=1497","layer":4},{"info":"compute binary expreesion, left_input=2964, right_input=1497, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=2902","layer":3},{"info":"number node, value=1005","layer":4},{"info":"number node, value=2549","layer":4},{"info":"compute binary expreesion, left_input=1005, right_input=2549, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1005","layer":3},{"info":"compute binary expreesion, left_input=2902, right_input=1005, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-1897","layer":2},{"info":"number node, value=1041","layer":4},{"info":"number node, value=1208","layer":4},{"info":"compute binary expreesion, left_input=1041, right_input=1208, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=7599","layer":4},{"info":"number node, value=1586","layer":4},{"info":"compute binary expreesion, left_input=7599, right_input=1586, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-9185","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-9185, 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=-1897, right_input=3979, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=6925","layer":4},{"info":"number node, value=2617","layer":4},{"info":"compute binary expreesion, left_input=6925, right_input=2617, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=14166","layer":3},{"info":"number node, value=8503","layer":4},{"info":"number node, value=4279","layer":4},{"info":"compute binary expreesion, left_input=8503, right_input=4279, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-12837","layer":3},{"info":"compute binary expreesion, left_input=14166, right_input=-12837, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-54001","layer":2},{"info":"number node, value=6223","layer":4},{"info":"number node, value=2844","layer":4},{"info":"compute binary expreesion, left_input=6223, right_input=2844, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-8532","layer":3},{"info":"number node, value=1320","layer":4},{"info":"number node, value=1932","layer":4},{"info":"compute binary expreesion, left_input=1320, right_input=1932, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1320","layer":3},{"info":"compute binary expreesion, left_input=-8532, right_input=1320, 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=-54001, right_input=968, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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 = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍1470⩷∴⪎⋱⫍8B2⨳⩥⨓(⪎⋱⫍5C4%⪎⋱⫍1211))⨐⩸⫘(⪎⋱⫍621↬⪎⋱⫍71C⪄(⪎⋱⫍35C7⪒⪎⋱⫍950))⪒(⪎⋱⫍31C9⪮%⊝⪎⋱⫍1264⊭↱⪎⋱⫍3B41↙⪎⋱⫍1C42)≭(⪎⋱⫍2AA9↙⪎⋱⫍13AA⫸⊐⪎⋱⫍7A7⨪↰⇹⪎⋱⫍B58)=NaN","reverse_text":"NaN=(⪎⋱⫍1470⩷∴⪎⋱⫍8B2⨳⩥⨓(⪎⋱⫍5C4%⪎⋱⫍1211))⨐⩸⫘(⪎⋱⫍621↬⪎⋱⫍71C⪄(⪎⋱⫍35C7⪒⪎⋱⫍950))⪒(⪎⋱⫍31C9⪮%⊝⪎⋱⫍1264⊭↱⪎⋱⫍3B41↙⪎⋱⫍1C42)≭(⪎⋱⫍2AA9↙⪎⋱⫍13AA⫸⊐⪎⋱⫍7A7⨪↰⇹⪎⋱⫍B58)","cot":[{"info":"⪎⋱⫍1470⩷∴⪎⋱⫍8B2=⪎⋱⫍1423","layer":3},{"info":"⪎⋱⫍5C4%⪎⋱⫍1211=⪎⋱⫍5C4","layer":3},{"info":"⪎⋱⫍1423⨳⩥⨓⪎⋱⫍5C4=⪎⋱⫍-B2C","layer":2},{"info":"⪎⋱⫍621↬⪎⋱⫍71C=NaN","layer":3},{"info":"⪎⋱⫍35C7⪒⪎⋱⫍950=⪎⋱⫍-4247","layer":3},{"info":"NaN⪄⪎⋱⫍-4247=⪎⋱⫍1A71","layer":2},{"info":"⪎⋱⫍-B2C⨐⩸⫘⪎⋱⫍1A71=NaN","layer":1},{"info":"⪎⋱⫍31C9⪮%⊝⪎⋱⫍1264=⪎⋱⫍65A9","layer":3},{"info":"⪎⋱⫍3B41↙⪎⋱⫍1C42=⪎⋱⫍-5AC6","layer":3},{"info":"⪎⋱⫍65A9⊭↱⪎⋱⫍-5AC6=⪎⋱⫍-1B76C","layer":2},{"info":"⪎⋱⫍2AA9↙⪎⋱⫍13AA=⪎⋱⫍-3B64","layer":3},{"info":"⪎⋱⫍7A7⨪↰⇹⪎⋱⫍B58=⪎⋱⫍7A7","layer":3},{"info":"⪎⋱⫍-3B64⫸⊐⪎⋱⫍7A7=⪎⋱⫍596","layer":2},{"info":"⪎⋱⫍-1B76C≭⪎⋱⫍596=NaN","layer":1},{"info":"NaN⪒NaN=NaN","layer":0}]}
{"id":803,"expression_no_base_symbol":"(-((⊄⩳↩$1999$)+$1459$⩨$1506$))⨳⩥⨓(≉(⫓⪴$4010$)⨟⋌⩍(∥⊫$4010$))","expression":"(-((⊄⩳↩⪎⋱⫍BAA)+⪎⋱⫍883⩨⪎⋱⫍8BB))⨳⩥⨓(≉(⫓⪴⪎⋱⫍1A96)⨟⋌⩍(∥⊫⪎⋱⫍1A96))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":4028,"operation_count":9,"complexity_ratio":447.55555555555554,"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":1999,"base":13}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1459,"base":13},"right_expr":{"type":"numeric_atoms","value":1506,"base":13}}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":4010,"base":13}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":4010,"base":13}}}}},"used_operators":["nCS4ZIUYfx","t8gj7n24qd","W4YGzv6Whe","8w2t5hMYqp","2DlMacCsIx","e1ybzncUwg","rGHVDoGpnC","eLxqMNBOBk","P8v4zCKN1o"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1999","layer":4},{"info":"compute unary expreesion, input=1999, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-5997","layer":3},{"info":"number node, value=1459","layer":4},{"info":"number node, value=1506","layer":4},{"info":"compute binary expreesion, left_input=1459, right_input=1506, 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=-5997, right_input=-3, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-6000","layer":2},{"info":"compute unary expreesion, input=-6000, op_id = t8gj7n24qd, unary_op_definition = 'None', output=6000","layer":1},{"info":"number node, value=4010","layer":4},{"info":"compute unary expreesion, input=4010, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=16080100","layer":3},{"info":"number node, value=4010","layer":4},{"info":"compute unary expreesion, input=4010, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=4878","layer":3},{"info":"compute binary expreesion, left_input=16080100, right_input=4878, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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 = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=6000, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(-((⊄⩳↩⪎⋱⫍BAA)+⪎⋱⫍883⩨⪎⋱⫍8BB))⨳⩥⨓(≉(⫓⪴⪎⋱⫍1A96)⨟⋌⩍(∥⊫⪎⋱⫍1A96))=NaN","reverse_text":"NaN=(-((⊄⩳↩⪎⋱⫍BAA)+⪎⋱⫍883⩨⪎⋱⫍8BB))⨳⩥⨓(≉(⫓⪴⪎⋱⫍1A96)⨟⋌⩍(∥⊫⪎⋱⫍1A96))","cot":[{"info":"⊄⩳↩⪎⋱⫍BAA=⪎⋱⫍-2964","layer":3},{"info":"⪎⋱⫍883⩨⪎⋱⫍8BB=⪎⋱⫍-3","layer":3},{"info":"⪎⋱⫍-2964+⪎⋱⫍-3=⪎⋱⫍-2967","layer":2},{"info":"-⪎⋱⫍-2967=⪎⋱⫍2967","layer":1},{"info":"⫓⪴⪎⋱⫍1A96=⪎⋱⫍344016A","layer":3},{"info":"∥⊫⪎⋱⫍1A96=⪎⋱⫍22B3","layer":3},{"info":"⪎⋱⫍344016A⨟⋌⩍⪎⋱⫍22B3=NaN","layer":2},{"info":"≉NaN=NaN","layer":1},{"info":"⪎⋱⫍2967⨳⩥⨓NaN=NaN","layer":0}]}
{"id":804,"expression_no_base_symbol":"($1998$⊉≛↸$1982$)↺$4016$⋓$3781$⩨(⪝⪂⫅($1817$⨽$3689$))*(($1056$⊭↱$6692$/$1064$⊭↱$4889$)⩨(∂($2800$⨓$1153$)))","expression":"(⪎⋱⫍BA9⊉≛↸⪎⋱⫍B96)↺⪎⋱⫍1A9C⋓⪎⋱⫍194B⩨(⪝⪂⫅(⪎⋱⫍A9A⨽⪎⋱⫍18AA))*((⪎⋱⫍633⊭↱⪎⋱⫍307A/⪎⋱⫍63B⊭↱⪎⋱⫍22C1)⩨(∂(⪎⋱⫍1375⨓⪎⋱⫍6A9)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":4482,"operation_count":13,"complexity_ratio":344.7692307692308,"tree":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1998,"base":13},"right_expr":{"type":"numeric_atoms","value":1982,"base":13}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":4016,"base":13},"right_expr":{"type":"numeric_atoms","value":3781,"base":13}}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1817,"base":13},"right_expr":{"type":"numeric_atoms","value":3689,"base":13}}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1056,"base":13},"right_expr":{"type":"numeric_atoms","value":6692,"base":13}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1064,"base":13},"right_expr":{"type":"numeric_atoms","value":4889,"base":13}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2800,"base":13},"right_expr":{"type":"numeric_atoms","value":1153,"base":13}}}}},"used_operators":["9HNa5Wba9A","2DlMacCsIx","7j4O788W3g","DZ8iAZOCBD","T2fj7uvVaJ","XTarYq4gQB","8HhzD0ZcuI","XhwjNDsVaA","COABgblf1C","Uaa54Peajs","3ViojmjbAp"],"dependent_operators":["W4YGzv6Whe","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","9HNa5Wba9A","8w2t5hMYqp","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1998","layer":4},{"info":"number node, value=1982","layer":4},{"info":"compute binary expreesion, left_input=1998, right_input=1982, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3996","layer":3},{"info":"number node, value=4016","layer":4},{"info":"number node, value=3781","layer":4},{"info":"compute binary expreesion, left_input=4016, right_input=3781, op_id = T2fj7uvVaJ binary_op_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=3996, 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=1817","layer":4},{"info":"number node, value=3689","layer":4},{"info":"compute binary expreesion, left_input=1817, right_input=3689, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-9914220","layer":3},{"info":"compute unary expreesion, input=-9914220, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=1457390340","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=1457390340, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":1},{"info":"number node, value=1056","layer":4},{"info":"number node, value=6692","layer":4},{"info":"compute binary expreesion, left_input=1056, right_input=6692, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=11277","layer":3},{"info":"number node, value=1064","layer":4},{"info":"number node, value=4889","layer":4},{"info":"compute binary expreesion, left_input=1064, right_input=4889, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=7655","layer":3},{"info":"compute binary expreesion, left_input=11277, right_input=7655, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":2},{"info":"number node, value=2800","layer":4},{"info":"number node, value=1153","layer":4},{"info":"compute binary expreesion, left_input=2800, right_input=1153, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1156","layer":3},{"info":"compute unary expreesion, input=-1156, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=892","layer":2},{"info":"compute binary expreesion, left_input=1, right_input=892, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-2676","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-2676, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍BA9⊉≛↸⪎⋱⫍B96)↺⪎⋱⫍1A9C⋓⪎⋱⫍194B⩨(⪝⪂⫅(⪎⋱⫍A9A⨽⪎⋱⫍18AA))*((⪎⋱⫍633⊭↱⪎⋱⫍307A/⪎⋱⫍63B⊭↱⪎⋱⫍22C1)⩨(∂(⪎⋱⫍1375⨓⪎⋱⫍6A9)))=NaN","reverse_text":"NaN=(⪎⋱⫍BA9⊉≛↸⪎⋱⫍B96)↺⪎⋱⫍1A9C⋓⪎⋱⫍194B⩨(⪝⪂⫅(⪎⋱⫍A9A⨽⪎⋱⫍18AA))*((⪎⋱⫍633⊭↱⪎⋱⫍307A/⪎⋱⫍63B⊭↱⪎⋱⫍22C1)⩨(∂(⪎⋱⫍1375⨓⪎⋱⫍6A9)))","cot":[{"info":"⪎⋱⫍BA9⊉≛↸⪎⋱⫍B96=⪎⋱⫍1A85","layer":3},{"info":"⪎⋱⫍1A9C⋓⪎⋱⫍194B=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍1A85↺⪎⋱⫍0=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍A9A⨽⪎⋱⫍18AA=⪎⋱⫍-2091804","layer":3},{"info":"⪝⪂⫅⪎⋱⫍-2091804=⪎⋱⫍1A2C23963","layer":2},{"info":"⪎⋱⫍0⩨⪎⋱⫍1A2C23963=NaN","layer":1},{"info":"⪎⋱⫍633⊭↱⪎⋱⫍307A=⪎⋱⫍5196","layer":3},{"info":"⪎⋱⫍63B⊭↱⪎⋱⫍22C1=⪎⋱⫍363B","layer":3},{"info":"⪎⋱⫍5196/⪎⋱⫍363B=⪎⋱⫍1","layer":2},{"info":"⪎⋱⫍1375⨓⪎⋱⫍6A9=⪎⋱⫍-6AC","layer":3},{"info":"∂⪎⋱⫍-6AC=⪎⋱⫍538","layer":2},{"info":"⪎⋱⫍1⩨⪎⋱⫍538=⪎⋱⫍-12AB","layer":1},{"info":"NaN*⪎⋱⫍-12AB=NaN","layer":0}]}
{"id":805,"expression_no_base_symbol":"(($1718$⨰$3732$↪⪝)⩚⊴⇥(($1863$↪⪝)⇼⇔∾$6162$⨟⋌⩍$1813$))≦≮≮","expression":"((⪎⋱⫍A22⨰⪎⋱⫍1911↪⪝)⩚⊴⇥((⪎⋱⫍B04↪⪝)⇼⇔∾⪎⋱⫍2A60⨟⋌⩍⪎⋱⫍A96))≦≮≮","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1415,"operation_count":7,"complexity_ratio":202.14285714285714,"tree":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1718,"base":13},"right_expr":{"type":"numeric_atoms","value":3732,"base":13}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":1863,"base":13}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":6162,"base":13},"right_expr":{"type":"numeric_atoms","value":1813,"base":13}}}}},"used_operators":["D4vGDi5EA2","NTOWxs364D","l07mrZUIn9","eewbuw0ToL","tifHPKVTfV","rGHVDoGpnC"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","9HNa5Wba9A","2DDjHMKMc0","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1718","layer":4},{"info":"number node, value=3732","layer":4},{"info":"compute binary expreesion, left_input=1718, right_input=3732, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-2004","layer":3},{"info":"compute unary expreesion, input=-2004, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=-122608728","layer":2},{"info":"number node, value=1863","layer":4},{"info":"compute unary expreesion, input=1863, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=113982066","layer":3},{"info":"number node, value=6162","layer":4},{"info":"number node, value=1813","layer":4},{"info":"compute binary expreesion, left_input=6162, right_input=1813, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=113982066, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-122608728, 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 = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍A22⨰⪎⋱⫍1911↪⪝)⩚⊴⇥((⪎⋱⫍B04↪⪝)⇼⇔∾⪎⋱⫍2A60⨟⋌⩍⪎⋱⫍A96))≦≮≮=NaN","reverse_text":"NaN=((⪎⋱⫍A22⨰⪎⋱⫍1911↪⪝)⩚⊴⇥((⪎⋱⫍B04↪⪝)⇼⇔∾⪎⋱⫍2A60⨟⋌⩍⪎⋱⫍A96))≦≮≮","cot":[{"info":"⪎⋱⫍A22⨰⪎⋱⫍1911=⪎⋱⫍-BB2","layer":3},{"info":"⪎⋱⫍-BB2↪⪝=⪎⋱⫍-1C52B458","layer":2},{"info":"⪎⋱⫍B04↪⪝=⪎⋱⫍1A7CAA13","layer":3},{"info":"⪎⋱⫍2A60⨟⋌⩍⪎⋱⫍A96=NaN","layer":3},{"info":"⪎⋱⫍1A7CAA13⇼⇔∾NaN=NaN","layer":2},{"info":"⪎⋱⫍-1C52B458⩚⊴⇥NaN=NaN","layer":1},{"info":"NaN≦≮≮=NaN","layer":0}]}
{"id":806,"expression_no_base_symbol":"⨵≀≌(($5415$↺$6927$)⫥∨⫟(≦∁$5101$))∑⇟⊟($3346$∑⇟⊟$1389$⨐⩸⫘$1125$⋝⋈⪟$1381$)","expression":"⨵≀≌((⪎⋱⫍2607↺⪎⋱⫍31CB)⫥∨⫟(≦∁⪎⋱⫍2425))∑⇟⊟(⪎⋱⫍16A5∑⇟⊟⪎⋱⫍82B⨐⩸⫘⪎⋱⫍687⋝⋈⪟⪎⋱⫍823)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":166,"operation_count":8,"complexity_ratio":20.75,"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":5415,"base":13},"right_expr":{"type":"numeric_atoms","value":6927,"base":13}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":5101,"base":13}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":3346,"base":13},"right_expr":{"type":"numeric_atoms","value":1389,"base":13}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1125,"base":13},"right_expr":{"type":"numeric_atoms","value":1381,"base":13}}}}},"used_operators":["srAu1WTS94","U7g4x0WXJJ","KYD54nUTWz","7j4O788W3g","9ICcGScMcE","fu6greOZ01","2DDjHMKMc0"],"dependent_operators":["glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=5415","layer":4},{"info":"number node, value=6927","layer":4},{"info":"compute binary expreesion, left_input=5415, right_input=6927, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=6927","layer":3},{"info":"number node, value=5101","layer":4},{"info":"compute unary expreesion, input=5101, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=5101","layer":3},{"info":"compute binary expreesion, left_input=6927, right_input=5101, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=3346","layer":4},{"info":"number node, value=1389","layer":4},{"info":"compute binary expreesion, left_input=3346, right_input=1389, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=1125","layer":4},{"info":"number node, value=1381","layer":4},{"info":"compute binary expreesion, left_input=1125, right_input=1381, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1125","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1125, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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 = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⨵≀≌((⪎⋱⫍2607↺⪎⋱⫍31CB)⫥∨⫟(≦∁⪎⋱⫍2425))∑⇟⊟(⪎⋱⫍16A5∑⇟⊟⪎⋱⫍82B⨐⩸⫘⪎⋱⫍687⋝⋈⪟⪎⋱⫍823)=NaN","reverse_text":"NaN=⨵≀≌((⪎⋱⫍2607↺⪎⋱⫍31CB)⫥∨⫟(≦∁⪎⋱⫍2425))∑⇟⊟(⪎⋱⫍16A5∑⇟⊟⪎⋱⫍82B⨐⩸⫘⪎⋱⫍687⋝⋈⪟⪎⋱⫍823)","cot":[{"info":"⪎⋱⫍2607↺⪎⋱⫍31CB=⪎⋱⫍31CB","layer":3},{"info":"≦∁⪎⋱⫍2425=⪎⋱⫍2425","layer":3},{"info":"⪎⋱⫍31CB⫥∨⫟⪎⋱⫍2425=NaN","layer":2},{"info":"⪎⋱⫍16A5∑⇟⊟⪎⋱⫍82B=NaN","layer":3},{"info":"⪎⋱⫍687⋝⋈⪟⪎⋱⫍823=⪎⋱⫍687","layer":3},{"info":"NaN⨐⩸⫘⪎⋱⫍687=NaN","layer":2},{"info":"NaN∑⇟⊟NaN=NaN","layer":1},{"info":"⨵≀≌NaN=NaN","layer":0}]}
{"id":807,"expression_no_base_symbol":"(↥((⨞⊢$2790$)*$3155$⋳⪒$1260$))-(($4988$⊭↱$2639$)⪘⫢($1552$⨽$7253$)↪⪝)","expression":"(↥((⨞⊢⪎⋱⫍1368)*⪎⋱⫍1589⋳⪒⪎⋱⫍75C))-((⪎⋱⫍2369⊭↱⪎⋱⫍1280)⪘⫢(⪎⋱⫍925⨽⪎⋱⫍33BC)↪⪝)","highest_n_order":2,"priority_hierarchical_complexity":6,"normalized_expansion_degree":281471,"operation_count":9,"complexity_ratio":31274.555555555555,"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":2790,"base":13}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":3155,"base":13},"right_expr":{"type":"numeric_atoms","value":1260,"base":13}}}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":4988,"base":13},"right_expr":{"type":"numeric_atoms","value":2639,"base":13}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1552,"base":13},"right_expr":{"type":"numeric_atoms","value":7253,"base":13}}}}},"used_operators":["rysDP5nf3Z","A8NUZmVepG","9HNa5Wba9A","xUOZtlo3hN","12rbrZMWeM","l07mrZUIn9","oacrs7FA3X","COABgblf1C","8HhzD0ZcuI"],"dependent_operators":["k8jYdgA6NY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","2DDjHMKMc0","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"⪎⋱⫍21B2B","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2790","layer":4},{"info":"compute unary expreesion, input=2790, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-2964","layer":3},{"info":"number node, value=3155","layer":4},{"info":"number node, value=1260","layer":4},{"info":"compute binary expreesion, left_input=3155, right_input=1260, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=4763","layer":3},{"info":"compute binary expreesion, left_input=-2964, right_input=4763, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-14117532","layer":2},{"info":"compute unary expreesion, input=-14117532, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=33","layer":1},{"info":"number node, value=4988","layer":4},{"info":"number node, value=2639","layer":4},{"info":"compute binary expreesion, left_input=4988, right_input=2639, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-4693","layer":3},{"info":"number node, value=1552","layer":4},{"info":"number node, value=7253","layer":4},{"info":"compute binary expreesion, left_input=1552, right_input=7253, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-7246557","layer":3},{"info":"compute binary expreesion, left_input=-4693, right_input=-7246557, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=-1","layer":2},{"info":"compute unary expreesion, input=-1, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=-61182","layer":1},{"info":"compute binary expreesion, left_input=33, right_input=-61182, op_id = rysDP5nf3Z binary_op_definition= 'None', output=61215","layer":0}],"base":13,"result_base":13,"text":"(↥((⨞⊢⪎⋱⫍1368)*⪎⋱⫍1589⋳⪒⪎⋱⫍75C))-((⪎⋱⫍2369⊭↱⪎⋱⫍1280)⪘⫢(⪎⋱⫍925⨽⪎⋱⫍33BC)↪⪝)=⪎⋱⫍21B2B","reverse_text":"⪎⋱⫍21B2B=(↥((⨞⊢⪎⋱⫍1368)*⪎⋱⫍1589⋳⪒⪎⋱⫍75C))-((⪎⋱⫍2369⊭↱⪎⋱⫍1280)⪘⫢(⪎⋱⫍925⨽⪎⋱⫍33BC)↪⪝)","cot":[{"info":"⨞⊢⪎⋱⫍1368=⪎⋱⫍-1470","layer":3},{"info":"⪎⋱⫍1589⋳⪒⪎⋱⫍75C=⪎⋱⫍2225","layer":3},{"info":"⪎⋱⫍-1470*⪎⋱⫍2225=⪎⋱⫍-2C03A90","layer":2},{"info":"↥⪎⋱⫍-2C03A90=⪎⋱⫍27","layer":1},{"info":"⪎⋱⫍2369⊭↱⪎⋱⫍1280=⪎⋱⫍-21A0","layer":3},{"info":"⪎⋱⫍925⨽⪎⋱⫍33BC=⪎⋱⫍-1669506","layer":3},{"info":"⪎⋱⫍-21A0⪘⫢⪎⋱⫍-1669506=⪎⋱⫍-1","layer":2},{"info":"⪎⋱⫍-1↪⪝=⪎⋱⫍-21B04","layer":1},{"info":"⪎⋱⫍27-⪎⋱⫍-21B04=⪎⋱⫍21B2B","layer":0}]}
{"id":808,"expression_no_base_symbol":"((⨰⫟⨤($7708$⊭↱$1730$))%($1609$∑⇟⊟$4053$)∀⇚≩$1740$⪢$1461$)⨎($1639$⊴$5778$⋝⋈⪟($3969$⨎$6921$)-(⋗⩬⋾$4452$⋓$1306$))","expression":"((⨰⫟⨤(⪎⋱⫍367C⊭↱⪎⋱⫍A31))%(⪎⋱⫍96A∑⇟⊟⪎⋱⫍1ACA)∀⇚≩⪎⋱⫍A3B⪢⪎⋱⫍885)⨎(⪎⋱⫍991⊴⪎⋱⫍2826⋝⋈⪟(⪎⋱⫍1A64⨎⪎⋱⫍31C5)-(⋗⩬⋾⪎⋱⫍2046⋓⪎⋱⫍796))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":56217,"operation_count":13,"complexity_ratio":4324.384615384615,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":7708,"base":13},"right_expr":{"type":"numeric_atoms","value":1730,"base":13}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1609,"base":13},"right_expr":{"type":"numeric_atoms","value":4053,"base":13}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1740,"base":13},"right_expr":{"type":"numeric_atoms","value":1461,"base":13}}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1639,"base":13},"right_expr":{"type":"numeric_atoms","value":5778,"base":13}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":3969,"base":13},"right_expr":{"type":"numeric_atoms","value":6921,"base":13}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":4452,"base":13},"right_expr":{"type":"numeric_atoms","value":1306,"base":13}}}}},"used_operators":["rJVOvQCfKK","k8jYdgA6NY","Tw270M8GLb","COABgblf1C","LRNGc0VcxI","U7g4x0WXJJ","dWAJyo7jo9","rysDP5nf3Z","2DDjHMKMc0","Nsiff2A1zJ","DpFCA1CohY","T2fj7uvVaJ"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=7708","layer":4},{"info":"number node, value=1730","layer":4},{"info":"compute binary expreesion, left_input=7708, right_input=1730, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-11951","layer":3},{"info":"compute unary expreesion, input=-11951, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":2},{"info":"number node, value=1609","layer":4},{"info":"number node, value=4053","layer":4},{"info":"compute binary expreesion, left_input=1609, right_input=4053, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=1740","layer":4},{"info":"number node, value=1461","layer":4},{"info":"compute binary expreesion, left_input=1740, right_input=1461, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=1639","layer":4},{"info":"number node, value=5778","layer":4},{"info":"compute binary expreesion, left_input=1639, right_input=5778, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=3969","layer":4},{"info":"number node, value=6921","layer":4},{"info":"compute binary expreesion, left_input=3969, right_input=6921, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=6921","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=6921, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":2},{"info":"number node, value=4452","layer":4},{"info":"number node, value=1306","layer":4},{"info":"compute binary expreesion, left_input=4452, right_input=1306, op_id = T2fj7uvVaJ binary_op_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 = 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=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 = 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":13,"result_base":13,"text":"((⨰⫟⨤(⪎⋱⫍367C⊭↱⪎⋱⫍A31))%(⪎⋱⫍96A∑⇟⊟⪎⋱⫍1ACA)∀⇚≩⪎⋱⫍A3B⪢⪎⋱⫍885)⨎(⪎⋱⫍991⊴⪎⋱⫍2826⋝⋈⪟(⪎⋱⫍1A64⨎⪎⋱⫍31C5)-(⋗⩬⋾⪎⋱⫍2046⋓⪎⋱⫍796))=NaN","reverse_text":"NaN=((⨰⫟⨤(⪎⋱⫍367C⊭↱⪎⋱⫍A31))%(⪎⋱⫍96A∑⇟⊟⪎⋱⫍1ACA)∀⇚≩⪎⋱⫍A3B⪢⪎⋱⫍885)⨎(⪎⋱⫍991⊴⪎⋱⫍2826⋝⋈⪟(⪎⋱⫍1A64⨎⪎⋱⫍31C5)-(⋗⩬⋾⪎⋱⫍2046⋓⪎⋱⫍796))","cot":[{"info":"⪎⋱⫍367C⊭↱⪎⋱⫍A31=⪎⋱⫍-5594","layer":3},{"info":"⨰⫟⨤⪎⋱⫍-5594=NaN","layer":2},{"info":"⪎⋱⫍96A∑⇟⊟⪎⋱⫍1ACA=NaN","layer":3},{"info":"⪎⋱⫍A3B⪢⪎⋱⫍885=NaN","layer":3},{"info":"NaN∀⇚≩NaN=NaN","layer":2},{"info":"NaN%NaN=NaN","layer":1},{"info":"⪎⋱⫍991⊴⪎⋱⫍2826=NaN","layer":3},{"info":"⪎⋱⫍1A64⨎⪎⋱⫍31C5=⪎⋱⫍31C5","layer":3},{"info":"NaN⋝⋈⪟⪎⋱⫍31C5=NaN","layer":2},{"info":"⪎⋱⫍2046⋓⪎⋱⫍796=⪎⋱⫍0","layer":3},{"info":"⋗⩬⋾⪎⋱⫍0=⪎⋱⫍0","layer":2},{"info":"NaN-⪎⋱⫍0=NaN","layer":1},{"info":"NaN⨎NaN=NaN","layer":0}]}
{"id":809,"expression_no_base_symbol":"(($2783$≭$1353$⪐)≋⫹)*($2345$⪨≂$1006$⋷(⊄⩳↩$5290$)⫡⨏(($6536$⫸⊐$1612$)⊦⊿))","expression":"((⪎⋱⫍1361≭⪎⋱⫍801⪐)≋⫹)*(⪎⋱⫍10B5⪨≂⪎⋱⫍5C5⋷(⊄⩳↩⪎⋱⫍253C)⫡⨏((⪎⋱⫍2C8A⫸⊐⪎⋱⫍970)⊦⊿))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":55,"operation_count":10,"complexity_ratio":5.5,"tree":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2783,"base":13},"right_expr":{"type":"numeric_atoms","value":1353,"base":13}}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2345,"base":13},"right_expr":{"type":"numeric_atoms","value":1006,"base":13}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":5290,"base":13}}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":6536,"base":13},"right_expr":{"type":"numeric_atoms","value":1612,"base":13}}}}},"used_operators":["9HNa5Wba9A","N41Kp7NANJ","eH2TOUuTDT","rxpJgHHUmx","QMFrweE19q","23Mk6UjR3U","sdazOOVcIp","8w2t5hMYqp","14qkJME0vr","mqXw5SEYmG"],"dependent_operators":["W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2783","layer":4},{"info":"number node, value=1353","layer":4},{"info":"compute binary expreesion, left_input=2783, right_input=1353, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=nan","layer":1},{"info":"number node, value=2345","layer":4},{"info":"number node, value=1006","layer":4},{"info":"compute binary expreesion, left_input=2345, right_input=1006, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=2780","layer":3},{"info":"number node, value=5290","layer":4},{"info":"compute unary expreesion, input=5290, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-15870","layer":3},{"info":"compute binary expreesion, left_input=2780, right_input=-15870, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-34520","layer":2},{"info":"number node, value=6536","layer":4},{"info":"number node, value=1612","layer":4},{"info":"compute binary expreesion, left_input=6536, right_input=1612, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=6323","layer":3},{"info":"compute unary expreesion, input=6323, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-19048","layer":2},{"info":"compute binary expreesion, left_input=-34520, right_input=-19048, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=-209913","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-209913, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍1361≭⪎⋱⫍801⪐)≋⫹)*(⪎⋱⫍10B5⪨≂⪎⋱⫍5C5⋷(⊄⩳↩⪎⋱⫍253C)⫡⨏((⪎⋱⫍2C8A⫸⊐⪎⋱⫍970)⊦⊿))=NaN","reverse_text":"NaN=((⪎⋱⫍1361≭⪎⋱⫍801⪐)≋⫹)*(⪎⋱⫍10B5⪨≂⪎⋱⫍5C5⋷(⊄⩳↩⪎⋱⫍253C)⫡⨏((⪎⋱⫍2C8A⫸⊐⪎⋱⫍970)⊦⊿))","cot":[{"info":"⪎⋱⫍1361≭⪎⋱⫍801=NaN","layer":3},{"info":"NaN⪐=NaN","layer":2},{"info":"NaN≋⫹=NaN","layer":1},{"info":"⪎⋱⫍10B5⪨≂⪎⋱⫍5C5=⪎⋱⫍135B","layer":3},{"info":"⊄⩳↩⪎⋱⫍253C=⪎⋱⫍-72BA","layer":3},{"info":"⪎⋱⫍135B⋷⪎⋱⫍-72BA=⪎⋱⫍-12935","layer":2},{"info":"⪎⋱⫍2C8A⫸⊐⪎⋱⫍970=⪎⋱⫍2B55","layer":3},{"info":"⪎⋱⫍2B55⊦⊿=⪎⋱⫍-8893","layer":2},{"info":"⪎⋱⫍-12935⫡⨏⪎⋱⫍-8893=⪎⋱⫍-74712","layer":1},{"info":"NaN*⪎⋱⫍-74712=NaN","layer":0}]}
{"id":810,"expression_no_base_symbol":"((↣≠⋷($1118$≎⊠⪸$7071$))⊠≄⫣)⋥≓≎(((⊙↵-$2925$)⨎$1174$≎⊠⪸$1955$)⊦⊿)","expression":"((↣≠⋷(⪎⋱⫍680≎⊠⪸⪎⋱⫍32AC))⊠≄⫣)⋥≓≎(((⊙↵-⪎⋱⫍1440)⨎⪎⋱⫍6C4≎⊠⪸⪎⋱⫍B75)⊦⊿)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":3526,"operation_count":8,"complexity_ratio":440.75,"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":1118,"base":13},"right_expr":{"type":"numeric_atoms","value":7071,"base":13}}}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":2925,"base":13}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1174,"base":13},"right_expr":{"type":"numeric_atoms","value":1955,"base":13}}}}},"used_operators":["Qy55tPpLXF","DIvbN7qnHd","Asc51vEJeQ","bJkvcejdHO","14qkJME0vr","rJVOvQCfKK","oWn0xqSxBt"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X"],"result":"⪎⋱⫍52","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1118","layer":4},{"info":"number node, value=7071","layer":4},{"info":"compute binary expreesion, left_input=1118, right_input=7071, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=289089","layer":3},{"info":"compute unary expreesion, input=289089, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=nan","layer":1},{"info":"number node, value=2925","layer":4},{"info":"compute unary expreesion, input=2925, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=1174","layer":4},{"info":"number node, value=1955","layer":4},{"info":"compute binary expreesion, left_input=1174, right_input=1955, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=303593","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=303593, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=303593","layer":2},{"info":"compute unary expreesion, input=303593, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-910858","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-910858, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":0}],"base":13,"result_base":13,"text":"((↣≠⋷(⪎⋱⫍680≎⊠⪸⪎⋱⫍32AC))⊠≄⫣)⋥≓≎(((⊙↵-⪎⋱⫍1440)⨎⪎⋱⫍6C4≎⊠⪸⪎⋱⫍B75)⊦⊿)=⪎⋱⫍52","reverse_text":"⪎⋱⫍52=((↣≠⋷(⪎⋱⫍680≎⊠⪸⪎⋱⫍32AC))⊠≄⫣)⋥≓≎(((⊙↵-⪎⋱⫍1440)⨎⪎⋱⫍6C4≎⊠⪸⪎⋱⫍B75)⊦⊿)","cot":[{"info":"⪎⋱⫍680≎⊠⪸⪎⋱⫍32AC=⪎⋱⫍A1778","layer":3},{"info":"↣≠⋷⪎⋱⫍A1778=NaN","layer":2},{"info":"NaN⊠≄⫣=NaN","layer":1},{"info":"⊙↵-⪎⋱⫍1440=⪎⋱⫍-1","layer":3},{"info":"⪎⋱⫍6C4≎⊠⪸⪎⋱⫍B75=⪎⋱⫍A8254","layer":3},{"info":"⪎⋱⫍-1⨎⪎⋱⫍A8254=⪎⋱⫍A8254","layer":2},{"info":"⪎⋱⫍A8254⊦⊿=⪎⋱⫍-25B790","layer":1},{"info":"NaN⋥≓≎⪎⋱⫍-25B790=⪎⋱⫍52","layer":0}]}
{"id":811,"expression_no_base_symbol":"(⨞⊢($4893$+⇶⊼$3089$)∼($3282$/$2959$))≹⇙⪍((≦∁$5919$)↬(↯⪼$4655$)+⇶⊼($4833$∼$1725$⨁⊸⫻))","expression":"(⨞⊢(⪎⋱⫍22C5+⇶⊼⪎⋱⫍1538)∼(⪎⋱⫍1656/⪎⋱⫍1468))≹⇙⪍((≦∁⪎⋱⫍2904)↬(↯⪼⪎⋱⫍2171)+⇶⊼(⪎⋱⫍227A∼⪎⋱⫍A29⨁⊸⫻))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":161,"operation_count":11,"complexity_ratio":14.636363636363637,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":4893,"base":13},"right_expr":{"type":"numeric_atoms","value":3089,"base":13}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":3282,"base":13},"right_expr":{"type":"numeric_atoms","value":2959,"base":13}}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":5919,"base":13}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":4655,"base":13}}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":4833,"base":13},"right_expr":{"type":"numeric_atoms","value":1725,"base":13}}}}},"used_operators":["AHs5Up7iyr","xUOZtlo3hN","DyGG3AbaNP","TpPTUOHfaN","XhwjNDsVaA","B5M0gjZbta","9ICcGScMcE","8jW3W4yZS5","glklzrTFfD"],"dependent_operators":["dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","AHs5Up7iyr","rysDP5nf3Z","rGHVDoGpnC","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4893","layer":4},{"info":"number node, value=3089","layer":4},{"info":"compute binary expreesion, left_input=4893, right_input=3089, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=3282","layer":4},{"info":"number node, value=2959","layer":4},{"info":"compute binary expreesion, left_input=3282, right_input=2959, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"compute binary expreesion, left_input=nan, 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":"compute unary expreesion, input=0, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-174","layer":1},{"info":"number node, value=5919","layer":4},{"info":"compute unary expreesion, input=5919, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=5919","layer":3},{"info":"number node, value=4655","layer":4},{"info":"compute unary expreesion, input=4655, 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=5919, 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=4833","layer":4},{"info":"number node, value=1725","layer":4},{"info":"compute binary expreesion, left_input=4833, right_input=1725, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=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=-174, 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":13,"result_base":13,"text":"(⨞⊢(⪎⋱⫍22C5+⇶⊼⪎⋱⫍1538)∼(⪎⋱⫍1656/⪎⋱⫍1468))≹⇙⪍((≦∁⪎⋱⫍2904)↬(↯⪼⪎⋱⫍2171)+⇶⊼(⪎⋱⫍227A∼⪎⋱⫍A29⨁⊸⫻))=NaN","reverse_text":"NaN=(⨞⊢(⪎⋱⫍22C5+⇶⊼⪎⋱⫍1538)∼(⪎⋱⫍1656/⪎⋱⫍1468))≹⇙⪍((≦∁⪎⋱⫍2904)↬(↯⪼⪎⋱⫍2171)+⇶⊼(⪎⋱⫍227A∼⪎⋱⫍A29⨁⊸⫻))","cot":[{"info":"⪎⋱⫍22C5+⇶⊼⪎⋱⫍1538=NaN","layer":3},{"info":"⪎⋱⫍1656/⪎⋱⫍1468=⪎⋱⫍1","layer":3},{"info":"NaN∼⪎⋱⫍1=⪎⋱⫍0","layer":2},{"info":"⨞⊢⪎⋱⫍0=⪎⋱⫍-105","layer":1},{"info":"≦∁⪎⋱⫍2904=⪎⋱⫍2904","layer":3},{"info":"↯⪼⪎⋱⫍2171=⪎⋱⫍-18","layer":3},{"info":"⪎⋱⫍2904↬⪎⋱⫍-18=NaN","layer":2},{"info":"⪎⋱⫍227A∼⪎⋱⫍A29=NaN","layer":3},{"info":"NaN⨁⊸⫻=NaN","layer":2},{"info":"NaN+⇶⊼NaN=NaN","layer":1},{"info":"⪎⋱⫍-105≹⇙⪍NaN=NaN","layer":0}]}
{"id":812,"expression_no_base_symbol":"(⪝⪂⫅$6009$)⇷($2222$≣⋋)⨰((+⊝⨔$6256$)⩷∴($1082$↙$1822$))⋓(↥$4936$↬$7753$)⨓(($1103$⨁⊸⫻)↺$1185$≭$4110$)","expression":"(⪝⪂⫅⪎⋱⫍2973)⇷(⪎⋱⫍101C≣⋋)⨰((+⊝⨔⪎⋱⫍2B03)⩷∴(⪎⋱⫍653↙⪎⋱⫍AA2))⋓(↥⪎⋱⫍2329↬⪎⋱⫍36B5)⨓((⪎⋱⫍66B⨁⊸⫻)↺⪎⋱⫍702≭⪎⋱⫍1B42)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2574,"operation_count":14,"complexity_ratio":183.85714285714286,"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":6009,"base":13}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":2222,"base":13}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":6256,"base":13}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1082,"base":13},"right_expr":{"type":"numeric_atoms","value":1822,"base":13}}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":4936,"base":13},"right_expr":{"type":"numeric_atoms","value":7753,"base":13}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":1103,"base":13}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1185,"base":13},"right_expr":{"type":"numeric_atoms","value":4110,"base":13}}}}},"used_operators":["T2fj7uvVaJ","eewbuw0ToL","mp7IySMOzn","XTarYq4gQB","Tcnh7f0tEr","9FxExcQeMw","DhbWaqg5eL","yyfyN0ffXY","3ViojmjbAp","A8NUZmVepG","B5M0gjZbta","7j4O788W3g","glklzrTFfD","rxpJgHHUmx"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","9HNa5Wba9A","8w2t5hMYqp","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","rysDP5nf3Z","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","tmPS8pqC7x","DpFCA1CohY","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","k8jYdgA6NY","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=6009","layer":4},{"info":"compute unary expreesion, input=6009, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-883323","layer":3},{"info":"number node, value=2222","layer":4},{"info":"compute unary expreesion, input=2222, 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=-883323, right_input=0, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=0","layer":2},{"info":"number node, value=6256","layer":4},{"info":"compute unary expreesion, input=6256, 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=1082","layer":4},{"info":"number node, value=1822","layer":4},{"info":"compute binary expreesion, left_input=1082, right_input=1822, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-5466","layer":3},{"info":"compute binary expreesion, left_input=1522, right_input=-5466, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=13944","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=13944, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-13934","layer":1},{"info":"number node, value=4936","layer":4},{"info":"number node, value=7753","layer":4},{"info":"compute binary expreesion, left_input=4936, right_input=7753, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=nan","layer":2},{"info":"number node, value=1103","layer":4},{"info":"compute unary expreesion, input=1103, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=1103","layer":3},{"info":"number node, value=1185","layer":4},{"info":"number node, value=4110","layer":4},{"info":"compute binary expreesion, left_input=1185, right_input=4110, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=1103, right_input=nan, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-13934, 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":13,"result_base":13,"text":"(⪝⪂⫅⪎⋱⫍2973)⇷(⪎⋱⫍101C≣⋋)⨰((+⊝⨔⪎⋱⫍2B03)⩷∴(⪎⋱⫍653↙⪎⋱⫍AA2))⋓(↥⪎⋱⫍2329↬⪎⋱⫍36B5)⨓((⪎⋱⫍66B⨁⊸⫻)↺⪎⋱⫍702≭⪎⋱⫍1B42)=NaN","reverse_text":"NaN=(⪝⪂⫅⪎⋱⫍2973)⇷(⪎⋱⫍101C≣⋋)⨰((+⊝⨔⪎⋱⫍2B03)⩷∴(⪎⋱⫍653↙⪎⋱⫍AA2))⋓(↥⪎⋱⫍2329↬⪎⋱⫍36B5)⨓((⪎⋱⫍66B⨁⊸⫻)↺⪎⋱⫍702≭⪎⋱⫍1B42)","cot":[{"info":"⪝⪂⫅⪎⋱⫍2973=⪎⋱⫍-24C09C","layer":3},{"info":"⪎⋱⫍101C≣⋋=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍-24C09C⇷⪎⋱⫍0=⪎⋱⫍0","layer":2},{"info":"+⊝⨔⪎⋱⫍2B03=⪎⋱⫍901","layer":3},{"info":"⪎⋱⫍653↙⪎⋱⫍AA2=⪎⋱⫍-2646","layer":3},{"info":"⪎⋱⫍901⩷∴⪎⋱⫍-2646=⪎⋱⫍6468","layer":2},{"info":"⪎⋱⫍0⨰⪎⋱⫍6468=⪎⋱⫍-645B","layer":1},{"info":"⪎⋱⫍2329↬⪎⋱⫍36B5=NaN","layer":3},{"info":"↥NaN=NaN","layer":2},{"info":"⪎⋱⫍66B⨁⊸⫻=⪎⋱⫍66B","layer":3},{"info":"⪎⋱⫍702≭⪎⋱⫍1B42=NaN","layer":3},{"info":"⪎⋱⫍66B↺NaN=NaN","layer":2},{"info":"NaN⨓NaN=NaN","layer":1},{"info":"⪎⋱⫍-645B⋓NaN=NaN","layer":0}]}
{"id":813,"expression_no_base_symbol":"((-$1201$)⊉≛↸$1568$⩷∴$1619$)∼(($5591$⋳⪒$3921$)⋝⋈⪟($4713$⨎$3233$))+⇶⊼(($3251$⪒$1010$)∑⇟⊟($2175$⨰$5718$)⨸⪁($1074$∑⇟⊟$2508$/$4412$⊉≛↸$3108$))","expression":"((-⪎⋱⫍715)⊉≛↸⪎⋱⫍938⩷∴⪎⋱⫍977)∼((⪎⋱⫍2711⋳⪒⪎⋱⫍1A28)⋝⋈⪟(⪎⋱⫍21B7⨎⪎⋱⫍1619))+⇶⊼((⪎⋱⫍1631⪒⪎⋱⫍5C9)∑⇟⊟(⪎⋱⫍CB4⨰⪎⋱⫍27AB)⨸⪁(⪎⋱⫍648∑⇟⊟⪎⋱⫍11AC/⪎⋱⫍2015⊉≛↸⪎⋱⫍1551))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":44,"operation_count":15,"complexity_ratio":2.933333333333333,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1201,"base":13}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1568,"base":13},"right_expr":{"type":"numeric_atoms","value":1619,"base":13}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":5591,"base":13},"right_expr":{"type":"numeric_atoms","value":3921,"base":13}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":4713,"base":13},"right_expr":{"type":"numeric_atoms","value":3233,"base":13}}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":3251,"base":13},"right_expr":{"type":"numeric_atoms","value":1010,"base":13}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2175,"base":13},"right_expr":{"type":"numeric_atoms","value":5718,"base":13}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1074,"base":13},"right_expr":{"type":"numeric_atoms","value":2508,"base":13}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":4412,"base":13},"right_expr":{"type":"numeric_atoms","value":3108,"base":13}}}}},"used_operators":["TpPTUOHfaN","DyGG3AbaNP","DZ8iAZOCBD","t8gj7n24qd","9FxExcQeMw","2DDjHMKMc0","12rbrZMWeM","rJVOvQCfKK","g55IO6H4Gj","U7g4x0WXJJ","f6k1SAg4EE","eewbuw0ToL","XhwjNDsVaA"],"dependent_operators":["AHs5Up7iyr","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1201","layer":4},{"info":"compute unary expreesion, input=1201, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1201","layer":3},{"info":"number node, value=1568","layer":4},{"info":"number node, value=1619","layer":4},{"info":"compute binary expreesion, left_input=1568, right_input=1619, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-134","layer":3},{"info":"compute binary expreesion, left_input=-1201, right_input=-134, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=134","layer":2},{"info":"number node, value=5591","layer":4},{"info":"number node, value=3921","layer":4},{"info":"compute binary expreesion, left_input=5591, right_input=3921, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=6974","layer":3},{"info":"number node, value=4713","layer":4},{"info":"number node, value=3233","layer":4},{"info":"compute binary expreesion, left_input=4713, right_input=3233, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3233","layer":3},{"info":"compute binary expreesion, left_input=6974, right_input=3233, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=6974","layer":2},{"info":"compute binary expreesion, left_input=134, right_input=6974, 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=3251","layer":4},{"info":"number node, value=1010","layer":4},{"info":"compute binary expreesion, left_input=3251, right_input=1010, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4261","layer":3},{"info":"number node, value=2175","layer":4},{"info":"number node, value=5718","layer":4},{"info":"compute binary expreesion, left_input=2175, right_input=5718, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-3533","layer":3},{"info":"compute binary expreesion, left_input=-4261, right_input=-3533, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=1074","layer":4},{"info":"number node, value=2508","layer":4},{"info":"compute binary expreesion, left_input=1074, right_input=2508, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=4412","layer":4},{"info":"number node, value=3108","layer":4},{"info":"compute binary expreesion, left_input=4412, right_input=3108, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=8824","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=8824, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=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":13,"result_base":13,"text":"((-⪎⋱⫍715)⊉≛↸⪎⋱⫍938⩷∴⪎⋱⫍977)∼((⪎⋱⫍2711⋳⪒⪎⋱⫍1A28)⋝⋈⪟(⪎⋱⫍21B7⨎⪎⋱⫍1619))+⇶⊼((⪎⋱⫍1631⪒⪎⋱⫍5C9)∑⇟⊟(⪎⋱⫍CB4⨰⪎⋱⫍27AB)⨸⪁(⪎⋱⫍648∑⇟⊟⪎⋱⫍11AC/⪎⋱⫍2015⊉≛↸⪎⋱⫍1551))=NaN","reverse_text":"NaN=((-⪎⋱⫍715)⊉≛↸⪎⋱⫍938⩷∴⪎⋱⫍977)∼((⪎⋱⫍2711⋳⪒⪎⋱⫍1A28)⋝⋈⪟(⪎⋱⫍21B7⨎⪎⋱⫍1619))+⇶⊼((⪎⋱⫍1631⪒⪎⋱⫍5C9)∑⇟⊟(⪎⋱⫍CB4⨰⪎⋱⫍27AB)⨸⪁(⪎⋱⫍648∑⇟⊟⪎⋱⫍11AC/⪎⋱⫍2015⊉≛↸⪎⋱⫍1551))","cot":[{"info":"-⪎⋱⫍715=⪎⋱⫍-715","layer":3},{"info":"⪎⋱⫍938⩷∴⪎⋱⫍977=⪎⋱⫍-A4","layer":3},{"info":"⪎⋱⫍-715⊉≛↸⪎⋱⫍-A4=⪎⋱⫍A4","layer":2},{"info":"⪎⋱⫍2711⋳⪒⪎⋱⫍1A28=⪎⋱⫍3236","layer":3},{"info":"⪎⋱⫍21B7⨎⪎⋱⫍1619=⪎⋱⫍1619","layer":3},{"info":"⪎⋱⫍3236⋝⋈⪟⪎⋱⫍1619=⪎⋱⫍3236","layer":2},{"info":"⪎⋱⫍A4∼⪎⋱⫍3236=NaN","layer":1},{"info":"⪎⋱⫍1631⪒⪎⋱⫍5C9=⪎⋱⫍-1C2A","layer":3},{"info":"⪎⋱⫍CB4⨰⪎⋱⫍27AB=⪎⋱⫍-17BA","layer":3},{"info":"⪎⋱⫍-1C2A∑⇟⊟⪎⋱⫍-17BA=NaN","layer":2},{"info":"⪎⋱⫍648∑⇟⊟⪎⋱⫍11AC=NaN","layer":3},{"info":"⪎⋱⫍2015⊉≛↸⪎⋱⫍1551=⪎⋱⫍402A","layer":3},{"info":"NaN/⪎⋱⫍402A=NaN","layer":2},{"info":"NaN⨸⪁NaN=NaN","layer":1},{"info":"NaN+⇶⊼NaN=NaN","layer":0}]}
{"id":814,"expression_no_base_symbol":"(((⊄⩳↩$1299$)-$2945$⫥∨⫟$2686$)⊉≛↸((⫓⪴$3506$)≦≮≮))↙(($1674$≧⫂∧$1894$-$3456$≹⇙⪍$2552$)⫸⊐($1323$%$5267$⫡⨏(∥⊫$1233$)))","expression":"(((⊄⩳↩⪎⋱⫍78C)-⪎⋱⫍1457⫥∨⫟⪎⋱⫍12B8)⊉≛↸((⫓⪴⪎⋱⫍1799)≦≮≮))↙((⪎⋱⫍9BA≧⫂∧⪎⋱⫍B29-⪎⋱⫍175B≹⇙⪍⪎⋱⫍1214)⫸⊐(⪎⋱⫍7AA%⪎⋱⫍2522⫡⨏(∥⊫⪎⋱⫍73B)))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":3689,"operation_count":14,"complexity_ratio":263.5,"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":1299,"base":13}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2945,"base":13},"right_expr":{"type":"numeric_atoms","value":2686,"base":13}}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":3506,"base":13}}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1674,"base":13},"right_expr":{"type":"numeric_atoms","value":1894,"base":13}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":3456,"base":13},"right_expr":{"type":"numeric_atoms","value":2552,"base":13}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1323,"base":13},"right_expr":{"type":"numeric_atoms","value":5267,"base":13}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":1233,"base":13}}}}},"used_operators":["yyfyN0ffXY","DZ8iAZOCBD","rysDP5nf3Z","8w2t5hMYqp","KYD54nUTWz","D4vGDi5EA2","eLxqMNBOBk","mqXw5SEYmG","Ph9nP6C5qx","AHs5Up7iyr","QMFrweE19q","k8jYdgA6NY","P8v4zCKN1o"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1299","layer":4},{"info":"compute unary expreesion, input=1299, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-3897","layer":3},{"info":"number node, value=2945","layer":4},{"info":"number node, value=2686","layer":4},{"info":"compute binary expreesion, left_input=2945, right_input=2686, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-3897, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=3506","layer":4},{"info":"compute unary expreesion, input=3506, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=12292036","layer":3},{"info":"compute unary expreesion, input=12292036, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-36876108","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-36876108, 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=1674","layer":4},{"info":"number node, value=1894","layer":4},{"info":"compute binary expreesion, left_input=1674, right_input=1894, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1421","layer":3},{"info":"number node, value=3456","layer":4},{"info":"number node, value=2552","layer":4},{"info":"compute binary expreesion, left_input=3456, right_input=2552, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=1421, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=1323","layer":4},{"info":"number node, value=5267","layer":4},{"info":"compute binary expreesion, left_input=1323, right_input=5267, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1323","layer":3},{"info":"number node, value=1233","layer":4},{"info":"compute unary expreesion, input=1233, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2101","layer":3},{"info":"compute binary expreesion, left_input=1323, right_input=2101, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=11600","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=11600, 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 = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(((⊄⩳↩⪎⋱⫍78C)-⪎⋱⫍1457⫥∨⫟⪎⋱⫍12B8)⊉≛↸((⫓⪴⪎⋱⫍1799)≦≮≮))↙((⪎⋱⫍9BA≧⫂∧⪎⋱⫍B29-⪎⋱⫍175B≹⇙⪍⪎⋱⫍1214)⫸⊐(⪎⋱⫍7AA%⪎⋱⫍2522⫡⨏(∥⊫⪎⋱⫍73B)))=NaN","reverse_text":"NaN=(((⊄⩳↩⪎⋱⫍78C)-⪎⋱⫍1457⫥∨⫟⪎⋱⫍12B8)⊉≛↸((⫓⪴⪎⋱⫍1799)≦≮≮))↙((⪎⋱⫍9BA≧⫂∧⪎⋱⫍B29-⪎⋱⫍175B≹⇙⪍⪎⋱⫍1214)⫸⊐(⪎⋱⫍7AA%⪎⋱⫍2522⫡⨏(∥⊫⪎⋱⫍73B)))","cot":[{"info":"⊄⩳↩⪎⋱⫍78C=⪎⋱⫍-1A0A","layer":3},{"info":"⪎⋱⫍1457⫥∨⫟⪎⋱⫍12B8=NaN","layer":3},{"info":"⪎⋱⫍-1A0A-NaN=NaN","layer":2},{"info":"⫓⪴⪎⋱⫍1799=⪎⋱⫍2714BC3","layer":3},{"info":"⪎⋱⫍2714BC3≦≮≮=⪎⋱⫍-78419A9","layer":2},{"info":"NaN⊉≛↸⪎⋱⫍-78419A9=NaN","layer":1},{"info":"⪎⋱⫍9BA≧⫂∧⪎⋱⫍B29=⪎⋱⫍854","layer":3},{"info":"⪎⋱⫍175B≹⇙⪍⪎⋱⫍1214=NaN","layer":3},{"info":"⪎⋱⫍854-NaN=NaN","layer":2},{"info":"⪎⋱⫍7AA%⪎⋱⫍2522=⪎⋱⫍7AA","layer":3},{"info":"∥⊫⪎⋱⫍73B=⪎⋱⫍C58","layer":3},{"info":"⪎⋱⫍7AA⫡⨏⪎⋱⫍C58=⪎⋱⫍5384","layer":2},{"info":"NaN⫸⊐⪎⋱⫍5384=NaN","layer":1},{"info":"NaN↙NaN=NaN","layer":0}]}
{"id":815,"expression_no_base_symbol":"((-$1082$∲⫓$1903$)⩨($2822$%$1536$)≹⇙⪍(↥$4223$))⪘⫢(⪲⇎($3739$⊦⊿)⨎($7416$≦≮≮))","expression":"((-⪎⋱⫍653∲⫓⪎⋱⫍B35)⩨(⪎⋱⫍1391%⪎⋱⫍912)≹⇙⪍(↥⪎⋱⫍1BCB))⪘⫢(⪲⇎(⪎⋱⫍1918⊦⊿)⨎(⪎⋱⫍34B6≦≮≮))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3003,"operation_count":11,"complexity_ratio":273.0,"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":1082,"base":13},"right_expr":{"type":"numeric_atoms","value":1903,"base":13}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2822,"base":13},"right_expr":{"type":"numeric_atoms","value":1536,"base":13}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":4223,"base":13}}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":3739,"base":13}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":7416,"base":13}}}}},"used_operators":["oacrs7FA3X","2DlMacCsIx","t8gj7n24qd","i8ToyICDmI","AHs5Up7iyr","k8jYdgA6NY","A8NUZmVepG","XPYlsWDdGa","rJVOvQCfKK","14qkJME0vr","D4vGDi5EA2"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","rysDP5nf3Z","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1082","layer":4},{"info":"number node, value=1903","layer":4},{"info":"compute binary expreesion, left_input=1082, right_input=1903, 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 = t8gj7n24qd, unary_op_definition = 'None', output=0","layer":2},{"info":"number node, value=2822","layer":4},{"info":"number node, value=1536","layer":4},{"info":"compute binary expreesion, left_input=2822, right_input=1536, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1286","layer":3},{"info":"number node, value=4223","layer":4},{"info":"compute unary expreesion, input=4223, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=41","layer":3},{"info":"compute binary expreesion, left_input=1286, right_input=41, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":1},{"info":"number node, value=3739","layer":4},{"info":"compute unary expreesion, input=3739, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-11296","layer":3},{"info":"number node, value=7416","layer":4},{"info":"compute unary expreesion, input=7416, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-22248","layer":3},{"info":"compute binary expreesion, left_input=-11296, right_input=-22248, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-22248","layer":2},{"info":"compute unary expreesion, input=-22248, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=-44496","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-44496, 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":13,"result_base":13,"text":"((-⪎⋱⫍653∲⫓⪎⋱⫍B35)⩨(⪎⋱⫍1391%⪎⋱⫍912)≹⇙⪍(↥⪎⋱⫍1BCB))⪘⫢(⪲⇎(⪎⋱⫍1918⊦⊿)⨎(⪎⋱⫍34B6≦≮≮))=NaN","reverse_text":"NaN=((-⪎⋱⫍653∲⫓⪎⋱⫍B35)⩨(⪎⋱⫍1391%⪎⋱⫍912)≹⇙⪍(↥⪎⋱⫍1BCB))⪘⫢(⪲⇎(⪎⋱⫍1918⊦⊿)⨎(⪎⋱⫍34B6≦≮≮))","cot":[{"info":"⪎⋱⫍653∲⫓⪎⋱⫍B35=⪎⋱⫍0","layer":3},{"info":"-⪎⋱⫍0=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍1391%⪎⋱⫍912=⪎⋱⫍77C","layer":3},{"info":"↥⪎⋱⫍1BCB=⪎⋱⫍32","layer":3},{"info":"⪎⋱⫍77C≹⇙⪍⪎⋱⫍32=NaN","layer":2},{"info":"⪎⋱⫍0⩨NaN=NaN","layer":1},{"info":"⪎⋱⫍1918⊦⊿=⪎⋱⫍-51AC","layer":3},{"info":"⪎⋱⫍34B6≦≮≮=⪎⋱⫍-A185","layer":3},{"info":"⪎⋱⫍-51AC⨎⪎⋱⫍-A185=⪎⋱⫍-A185","layer":2},{"info":"⪲⇎⪎⋱⫍-A185=⪎⋱⫍-1733A","layer":1},{"info":"NaN⪘⫢⪎⋱⫍-1733A=NaN","layer":0}]}
{"id":816,"expression_no_base_symbol":"(↽≂((⨞⊢$1513$)/$8407$≎⊠⪸$1077$))⫡⨏($1505$⋥≓≎$2443$)⪛($2214$⨽$1028$)⩚⊴⇥(≉$2569$)⋓($1079$⨸⪁$1610$)","expression":"(↽≂((⨞⊢⪎⋱⫍8C5)/⪎⋱⫍3A99≎⊠⪸⪎⋱⫍64B))⫡⨏(⪎⋱⫍8BA⋥≓≎⪎⋱⫍115C)⪛(⪎⋱⫍1014⨽⪎⋱⫍611)⩚⊴⇥(≉⪎⋱⫍1228)⋓(⪎⋱⫍650⨸⪁⪎⋱⫍96B)","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2535,"operation_count":12,"complexity_ratio":211.25,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":1513,"base":13}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":8407,"base":13},"right_expr":{"type":"numeric_atoms","value":1077,"base":13}}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1505,"base":13},"right_expr":{"type":"numeric_atoms","value":2443,"base":13}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2214,"base":13},"right_expr":{"type":"numeric_atoms","value":1028,"base":13}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":2569,"base":13}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1079,"base":13},"right_expr":{"type":"numeric_atoms","value":1610,"base":13}}}}},"used_operators":["QMFrweE19q","u6S6b8DprG","XhwjNDsVaA","xUOZtlo3hN","bJkvcejdHO","NTOWxs364D","uFcxV4UQCh","Qy55tPpLXF","8HhzD0ZcuI","T2fj7uvVaJ","e1ybzncUwg","g55IO6H4Gj"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe"],"result":"⪎⋱⫍612870B","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1513","layer":4},{"info":"compute unary expreesion, input=1513, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1687","layer":3},{"info":"number node, value=8407","layer":4},{"info":"number node, value=1077","layer":4},{"info":"compute binary expreesion, left_input=8407, right_input=1077, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=2176940","layer":3},{"info":"compute binary expreesion, left_input=-1687, right_input=2176940, op_id = XhwjNDsVaA binary_op_definition= 'None', 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=1505","layer":4},{"info":"number node, value=2443","layer":4},{"info":"compute binary expreesion, left_input=1505, right_input=2443, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=3414","layer":3},{"info":"number node, value=2214","layer":4},{"info":"number node, value=1028","layer":4},{"info":"compute binary expreesion, left_input=2214, right_input=1028, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-14707158","layer":3},{"info":"compute binary expreesion, left_input=3414, right_input=-14707158, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=-14703744","layer":2},{"info":"number node, value=2569","layer":4},{"info":"compute unary expreesion, input=2569, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=3100","layer":3},{"info":"number node, value=1079","layer":4},{"info":"number node, value=1610","layer":4},{"info":"compute binary expreesion, left_input=1079, right_input=1610, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=5378","layer":3},{"info":"compute binary expreesion, left_input=3100, right_input=5378, op_id = T2fj7uvVaJ binary_op_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=-14703744, right_input=0, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=14703623","layer":1},{"info":"compute binary expreesion, left_input=2, right_input=14703623, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=29408039","layer":0}],"base":13,"result_base":13,"text":"(↽≂((⨞⊢⪎⋱⫍8C5)/⪎⋱⫍3A99≎⊠⪸⪎⋱⫍64B))⫡⨏(⪎⋱⫍8BA⋥≓≎⪎⋱⫍115C)⪛(⪎⋱⫍1014⨽⪎⋱⫍611)⩚⊴⇥(≉⪎⋱⫍1228)⋓(⪎⋱⫍650⨸⪁⪎⋱⫍96B)=⪎⋱⫍612870B","reverse_text":"⪎⋱⫍612870B=(↽≂((⨞⊢⪎⋱⫍8C5)/⪎⋱⫍3A99≎⊠⪸⪎⋱⫍64B))⫡⨏(⪎⋱⫍8BA⋥≓≎⪎⋱⫍115C)⪛(⪎⋱⫍1014⨽⪎⋱⫍611)⩚⊴⇥(≉⪎⋱⫍1228)⋓(⪎⋱⫍650⨸⪁⪎⋱⫍96B)","cot":[{"info":"⨞⊢⪎⋱⫍8C5=⪎⋱⫍-9CA","layer":3},{"info":"⪎⋱⫍3A99≎⊠⪸⪎⋱⫍64B=⪎⋱⫍5B2B3C","layer":3},{"info":"⪎⋱⫍-9CA/⪎⋱⫍5B2B3C=⪎⋱⫍-1","layer":2},{"info":"↽≂⪎⋱⫍-1=⪎⋱⫍2","layer":1},{"info":"⪎⋱⫍8BA⋥≓≎⪎⋱⫍115C=⪎⋱⫍1728","layer":3},{"info":"⪎⋱⫍1014⨽⪎⋱⫍611=⪎⋱⫍-307C27B","layer":3},{"info":"⪎⋱⫍1728⪛⪎⋱⫍-307C27B=⪎⋱⫍-307A853","layer":2},{"info":"≉⪎⋱⫍1228=⪎⋱⫍1546","layer":3},{"info":"⪎⋱⫍650⨸⪁⪎⋱⫍96B=⪎⋱⫍25A9","layer":3},{"info":"⪎⋱⫍1546⋓⪎⋱⫍25A9=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍-307A853⩚⊴⇥⪎⋱⫍0=⪎⋱⫍307A78C","layer":1},{"info":"⪎⋱⫍2⫡⨏⪎⋱⫍307A78C=⪎⋱⫍612870B","layer":0}]}
{"id":817,"expression_no_base_symbol":"+⊝⨔((($2139$⋫)↙($1661$⩤))⪛(+⊝⨔($2755$+$4718$)))","expression":"+⊝⨔(((⪎⋱⫍C87⋫)↙(⪎⋱⫍9AA⩤))⪛(+⊝⨔(⪎⋱⫍133C+⪎⋱⫍21BC)))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":3891,"operation_count":7,"complexity_ratio":555.8571428571429,"tree":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":2139,"base":13}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":1661,"base":13}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2755,"base":13},"right_expr":{"type":"numeric_atoms","value":4718,"base":13}}}}},"used_operators":["DhbWaqg5eL","uFcxV4UQCh","yyfyN0ffXY","JL8yIekQnl","Z2TMIBDE3Q","W4YGzv6Whe"],"dependent_operators":["dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","tmPS8pqC7x","DpFCA1CohY","tmPS8pqC7x","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍901","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2139","layer":4},{"info":"compute unary expreesion, input=2139, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=2139","layer":3},{"info":"number node, value=1661","layer":4},{"info":"compute unary expreesion, input=1661, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-1661","layer":3},{"info":"compute binary expreesion, left_input=2139, right_input=-1661, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-4983","layer":2},{"info":"number node, value=2755","layer":4},{"info":"number node, value=4718","layer":4},{"info":"compute binary expreesion, left_input=2755, right_input=4718, op_id = W4YGzv6Whe binary_op_definition= 'None', output=7473","layer":3},{"info":"compute unary expreesion, input=7473, 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=-4983, right_input=1522, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1105","layer":1},{"info":"compute unary expreesion, input=1105, 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":13,"result_base":13,"text":"+⊝⨔(((⪎⋱⫍C87⋫)↙(⪎⋱⫍9AA⩤))⪛(+⊝⨔(⪎⋱⫍133C+⪎⋱⫍21BC)))=⪎⋱⫍901","reverse_text":"⪎⋱⫍901=+⊝⨔(((⪎⋱⫍C87⋫)↙(⪎⋱⫍9AA⩤))⪛(+⊝⨔(⪎⋱⫍133C+⪎⋱⫍21BC)))","cot":[{"info":"⪎⋱⫍C87⋫=⪎⋱⫍C87","layer":3},{"info":"⪎⋱⫍9AA⩤=⪎⋱⫍-9AA","layer":3},{"info":"⪎⋱⫍C87↙⪎⋱⫍-9AA=⪎⋱⫍-2364","layer":2},{"info":"⪎⋱⫍133C+⪎⋱⫍21BC=⪎⋱⫍352B","layer":3},{"info":"+⊝⨔⪎⋱⫍352B=⪎⋱⫍901","layer":2},{"info":"⪎⋱⫍-2364⪛⪎⋱⫍901=⪎⋱⫍670","layer":1},{"info":"+⊝⨔⪎⋱⫍670=⪎⋱⫍901","layer":0}]}
{"id":818,"expression_no_base_symbol":"(($6872$⨸⪁$1805$)+⇶⊼$3082$⨪↰⇹$1543$)∑⇟⊟(($1238$⩨$3778$)⪄$5726$⨟⋌⩍$1649$)+⇶⊼(($1217$⋷$4024$)⨐⩸⫘(≦∁$3360$))⋓(($3281$≦≮≮)⊭↱$3347$⪘⫢$5961$)","expression":"((⪎⋱⫍3188⨸⪁⪎⋱⫍A8B)+⇶⊼⪎⋱⫍1531⨪↰⇹⪎⋱⫍919)∑⇟⊟((⪎⋱⫍743⩨⪎⋱⫍1948)⪄⪎⋱⫍27B6⨟⋌⩍⪎⋱⫍99B)+⇶⊼((⪎⋱⫍728⋷⪎⋱⫍1AA7)⨐⩸⫘(≦∁⪎⋱⫍16B6))⋓((⪎⋱⫍1655≦≮≮)⊭↱⪎⋱⫍16A6⪘⫢⪎⋱⫍2937)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":3166,"operation_count":15,"complexity_ratio":211.06666666666666,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":6872,"base":13},"right_expr":{"type":"numeric_atoms","value":1805,"base":13}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":3082,"base":13},"right_expr":{"type":"numeric_atoms","value":1543,"base":13}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1238,"base":13},"right_expr":{"type":"numeric_atoms","value":3778,"base":13}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":5726,"base":13},"right_expr":{"type":"numeric_atoms","value":1649,"base":13}}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1217,"base":13},"right_expr":{"type":"numeric_atoms","value":4024,"base":13}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":3360,"base":13}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":3281,"base":13}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":3347,"base":13},"right_expr":{"type":"numeric_atoms","value":5961,"base":13}}}}},"used_operators":["TpPTUOHfaN","U7g4x0WXJJ","g55IO6H4Gj","tmPS8pqC7x","SUmda5xLS4","2DlMacCsIx","rGHVDoGpnC","T2fj7uvVaJ","fu6greOZ01","23Mk6UjR3U","9ICcGScMcE","COABgblf1C","D4vGDi5EA2","oacrs7FA3X"],"dependent_operators":["AHs5Up7iyr","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","rJVOvQCfKK","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","Tcnh7f0tEr","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=6872","layer":4},{"info":"number node, value=1805","layer":4},{"info":"compute binary expreesion, left_input=6872, right_input=1805, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=17354","layer":3},{"info":"number node, value=3082","layer":4},{"info":"number node, value=1543","layer":4},{"info":"compute binary expreesion, left_input=3082, right_input=1543, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=3082","layer":3},{"info":"compute binary expreesion, left_input=17354, right_input=3082, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=1238","layer":4},{"info":"number node, value=3778","layer":4},{"info":"compute binary expreesion, left_input=1238, right_input=3778, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-9","layer":3},{"info":"number node, value=5726","layer":4},{"info":"number node, value=1649","layer":4},{"info":"compute binary expreesion, left_input=5726, right_input=1649, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=-9, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=3979, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=1217","layer":4},{"info":"number node, value=4024","layer":4},{"info":"compute binary expreesion, left_input=1217, right_input=4024, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=6831","layer":3},{"info":"number node, value=3360","layer":4},{"info":"compute unary expreesion, input=3360, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=3360","layer":3},{"info":"compute binary expreesion, left_input=6831, right_input=3360, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"number node, value=3281","layer":4},{"info":"compute unary expreesion, input=3281, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-9843","layer":3},{"info":"number node, value=3347","layer":4},{"info":"number node, value=5961","layer":4},{"info":"compute binary expreesion, left_input=3347, right_input=5961, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=6570","layer":3},{"info":"compute binary expreesion, left_input=-9843, right_input=6570, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=32831","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=32831, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(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":13,"result_base":13,"text":"((⪎⋱⫍3188⨸⪁⪎⋱⫍A8B)+⇶⊼⪎⋱⫍1531⨪↰⇹⪎⋱⫍919)∑⇟⊟((⪎⋱⫍743⩨⪎⋱⫍1948)⪄⪎⋱⫍27B6⨟⋌⩍⪎⋱⫍99B)+⇶⊼((⪎⋱⫍728⋷⪎⋱⫍1AA7)⨐⩸⫘(≦∁⪎⋱⫍16B6))⋓((⪎⋱⫍1655≦≮≮)⊭↱⪎⋱⫍16A6⪘⫢⪎⋱⫍2937)=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=((⪎⋱⫍3188⨸⪁⪎⋱⫍A8B)+⇶⊼⪎⋱⫍1531⨪↰⇹⪎⋱⫍919)∑⇟⊟((⪎⋱⫍743⩨⪎⋱⫍1948)⪄⪎⋱⫍27B6⨟⋌⩍⪎⋱⫍99B)+⇶⊼((⪎⋱⫍728⋷⪎⋱⫍1AA7)⨐⩸⫘(≦∁⪎⋱⫍16B6))⋓((⪎⋱⫍1655≦≮≮)⊭↱⪎⋱⫍16A6⪘⫢⪎⋱⫍2937)","cot":[{"info":"⪎⋱⫍3188⨸⪁⪎⋱⫍A8B=⪎⋱⫍7B8C","layer":3},{"info":"⪎⋱⫍1531⨪↰⇹⪎⋱⫍919=⪎⋱⫍1531","layer":3},{"info":"⪎⋱⫍7B8C+⇶⊼⪎⋱⫍1531=NaN","layer":2},{"info":"⪎⋱⫍743⩨⪎⋱⫍1948=⪎⋱⫍-9","layer":3},{"info":"⪎⋱⫍27B6⨟⋌⩍⪎⋱⫍99B=NaN","layer":3},{"info":"⪎⋱⫍-9⪄NaN=⪎⋱⫍1A71","layer":2},{"info":"NaN∑⇟⊟⪎⋱⫍1A71=NaN","layer":1},{"info":"⪎⋱⫍728⋷⪎⋱⫍1AA7=⪎⋱⫍3156","layer":3},{"info":"≦∁⪎⋱⫍16B6=⪎⋱⫍16B6","layer":3},{"info":"⪎⋱⫍3156⨐⩸⫘⪎⋱⫍16B6=NaN","layer":2},{"info":"⪎⋱⫍1655≦≮≮=⪎⋱⫍-4632","layer":3},{"info":"⪎⋱⫍16A6⪘⫢⪎⋱⫍2937=⪎⋱⫍2CB5","layer":3},{"info":"⪎⋱⫍-4632⊭↱⪎⋱⫍2CB5=⪎⋱⫍11C36","layer":2},{"info":"NaN⋓⪎⋱⫍11C36=⪎⋱⫍0","layer":1},{"info":"NaN+⇶⊼⪎⋱⫍0=⪎⋱⫍0","layer":0}]}
{"id":819,"expression_no_base_symbol":"((≉$1082$)∼(≦∁$7037$)⨽(⫛⫱⨽(≤/$3503$)))⋓(($5539$⇼⇔∾$7372$)⋫)⪘⫢((-$1930$)⋥≓≎$2555$∀⇚≩$3660$)","expression":"((≉⪎⋱⫍653)∼(≦∁⪎⋱⫍3284)⨽(⫛⫱⨽(≤/⪎⋱⫍1796)))⋓((⪎⋱⫍26A1⇼⇔∾⪎⋱⫍3481)⋫)⪘⫢((-⪎⋱⫍B56)⋥≓≎⪎⋱⫍1217∀⇚≩⪎⋱⫍1887)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":21214,"operation_count":13,"complexity_ratio":1631.8461538461538,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1082,"base":13}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":7037,"base":13}}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":3503,"base":13}}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":5539,"base":13},"right_expr":{"type":"numeric_atoms","value":7372,"base":13}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1930,"base":13}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2555,"base":13},"right_expr":{"type":"numeric_atoms","value":3660,"base":13}}}}},"used_operators":["T2fj7uvVaJ","8HhzD0ZcuI","DyGG3AbaNP","e1ybzncUwg","9ICcGScMcE","DlLNRPXxWL","eLAdDNolq6","oacrs7FA3X","JL8yIekQnl","tifHPKVTfV","Qy55tPpLXF","t8gj7n24qd","LRNGc0VcxI"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rGHVDoGpnC","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","tmPS8pqC7x","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1082","layer":4},{"info":"compute unary expreesion, input=1082, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=1613","layer":3},{"info":"number node, value=7037","layer":4},{"info":"compute unary expreesion, input=7037, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=7037","layer":3},{"info":"compute binary expreesion, left_input=1613, right_input=7037, 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=3503","layer":4},{"info":"compute unary expreesion, input=3503, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-3019","layer":3},{"info":"compute unary expreesion, input=-3019, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":1},{"info":"number node, value=5539","layer":4},{"info":"number node, value=7372","layer":4},{"info":"compute binary expreesion, left_input=5539, right_input=7372, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1833","layer":3},{"info":"compute unary expreesion, input=1833, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=1833","layer":2},{"info":"number node, value=1930","layer":4},{"info":"compute unary expreesion, input=1930, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1930","layer":3},{"info":"number node, value=2555","layer":4},{"info":"number node, value=3660","layer":4},{"info":"compute binary expreesion, left_input=2555, right_input=3660, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=-1930, 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=1833, right_input=67, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=0","layer":1},{"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":0}],"base":13,"result_base":13,"text":"((≉⪎⋱⫍653)∼(≦∁⪎⋱⫍3284)⨽(⫛⫱⨽(≤/⪎⋱⫍1796)))⋓((⪎⋱⫍26A1⇼⇔∾⪎⋱⫍3481)⋫)⪘⫢((-⪎⋱⫍B56)⋥≓≎⪎⋱⫍1217∀⇚≩⪎⋱⫍1887)=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=((≉⪎⋱⫍653)∼(≦∁⪎⋱⫍3284)⨽(⫛⫱⨽(≤/⪎⋱⫍1796)))⋓((⪎⋱⫍26A1⇼⇔∾⪎⋱⫍3481)⋫)⪘⫢((-⪎⋱⫍B56)⋥≓≎⪎⋱⫍1217∀⇚≩⪎⋱⫍1887)","cot":[{"info":"≉⪎⋱⫍653=⪎⋱⫍971","layer":3},{"info":"≦∁⪎⋱⫍3284=⪎⋱⫍3284","layer":3},{"info":"⪎⋱⫍971∼⪎⋱⫍3284=NaN","layer":2},{"info":"≤/⪎⋱⫍1796=⪎⋱⫍-14B3","layer":3},{"info":"⫛⫱⨽⪎⋱⫍-14B3=⪎⋱⫍0","layer":2},{"info":"NaN⨽⪎⋱⫍0=NaN","layer":1},{"info":"⪎⋱⫍26A1⇼⇔∾⪎⋱⫍3481=⪎⋱⫍AB0","layer":3},{"info":"⪎⋱⫍AB0⋫=⪎⋱⫍AB0","layer":2},{"info":"-⪎⋱⫍B56=⪎⋱⫍-B56","layer":3},{"info":"⪎⋱⫍1217∀⇚≩⪎⋱⫍1887=NaN","layer":3},{"info":"⪎⋱⫍-B56⋥≓≎NaN=⪎⋱⫍52","layer":2},{"info":"⪎⋱⫍AB0⪘⫢⪎⋱⫍52=⪎⋱⫍0","layer":1},{"info":"NaN⋓⪎⋱⫍0=⪎⋱⫍0","layer":0}]}
{"id":820,"expression_no_base_symbol":"(($1523$↺$1517$)⨪↰⇹(⨑⩽⪐$3508$))∼(⇁⨣⪵$2986$⨓$2541$)⋷((↩(↔$2544$))⪨≂(($1792$⨁⊸⫻)⪨≂($1084$⨵⪆$1756$)))","expression":"((⪎⋱⫍902↺⪎⋱⫍8C9)⨪↰⇹(⨑⩽⪐⪎⋱⫍179B))∼(⇁⨣⪵⪎⋱⫍1489⨓⪎⋱⫍1206)⋷((↩(↔⪎⋱⫍1209))⪨≂((⪎⋱⫍A7B⨁⊸⫻)⪨≂(⪎⋱⫍655⨵⪆⪎⋱⫍A51)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":4143,"operation_count":13,"complexity_ratio":318.6923076923077,"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":1523,"base":13},"right_expr":{"type":"numeric_atoms","value":1517,"base":13}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":3508,"base":13}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2986,"base":13},"right_expr":{"type":"numeric_atoms","value":2541,"base":13}}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":2544,"base":13}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":1792,"base":13}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1084,"base":13},"right_expr":{"type":"numeric_atoms","value":1756,"base":13}}}}},"used_operators":["23Mk6UjR3U","DyGG3AbaNP","tmPS8pqC7x","7j4O788W3g","AF7qkfDlqP","inkyxCbjAn","3ViojmjbAp","sdazOOVcIp","jLgFTUHLKL","ruOEQAzv1W","glklzrTFfD","2DQ55sFlQl"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","B5M0gjZbta","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1523","layer":4},{"info":"number node, value=1517","layer":4},{"info":"compute binary expreesion, left_input=1523, right_input=1517, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1517","layer":3},{"info":"number node, value=3508","layer":4},{"info":"compute unary expreesion, input=3508, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-3235","layer":3},{"info":"compute binary expreesion, left_input=1517, right_input=-3235, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1517","layer":2},{"info":"number node, value=2986","layer":4},{"info":"number node, value=2541","layer":4},{"info":"compute binary expreesion, left_input=2986, right_input=2541, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2544","layer":3},{"info":"compute unary expreesion, input=-2544, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1517, 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=2544","layer":4},{"info":"compute unary expreesion, input=2544, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-2271","layer":3},{"info":"compute unary expreesion, input=-2271, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=11704","layer":2},{"info":"number node, value=1792","layer":4},{"info":"compute unary expreesion, input=1792, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=1792","layer":3},{"info":"number node, value=1084","layer":4},{"info":"number node, value=1756","layer":4},{"info":"compute binary expreesion, left_input=1084, right_input=1756, 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=1792, 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=3366","layer":2},{"info":"compute binary expreesion, left_input=11704, right_input=3366, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=16778","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=16778, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍902↺⪎⋱⫍8C9)⨪↰⇹(⨑⩽⪐⪎⋱⫍179B))∼(⇁⨣⪵⪎⋱⫍1489⨓⪎⋱⫍1206)⋷((↩(↔⪎⋱⫍1209))⪨≂((⪎⋱⫍A7B⨁⊸⫻)⪨≂(⪎⋱⫍655⨵⪆⪎⋱⫍A51)))=NaN","reverse_text":"NaN=((⪎⋱⫍902↺⪎⋱⫍8C9)⨪↰⇹(⨑⩽⪐⪎⋱⫍179B))∼(⇁⨣⪵⪎⋱⫍1489⨓⪎⋱⫍1206)⋷((↩(↔⪎⋱⫍1209))⪨≂((⪎⋱⫍A7B⨁⊸⫻)⪨≂(⪎⋱⫍655⨵⪆⪎⋱⫍A51)))","cot":[{"info":"⪎⋱⫍902↺⪎⋱⫍8C9=⪎⋱⫍8C9","layer":3},{"info":"⨑⩽⪐⪎⋱⫍179B=⪎⋱⫍-161B","layer":3},{"info":"⪎⋱⫍8C9⨪↰⇹⪎⋱⫍-161B=⪎⋱⫍8C9","layer":2},{"info":"⪎⋱⫍1489⨓⪎⋱⫍1206=⪎⋱⫍-1209","layer":3},{"info":"⇁⨣⪵⪎⋱⫍-1209=NaN","layer":2},{"info":"⪎⋱⫍8C9∼NaN=NaN","layer":1},{"info":"↔⪎⋱⫍1209=⪎⋱⫍-1059","layer":3},{"info":"↩⪎⋱⫍-1059=⪎⋱⫍5434","layer":2},{"info":"⪎⋱⫍A7B⨁⊸⫻=⪎⋱⫍A7B","layer":3},{"info":"⪎⋱⫍655⨵⪆⪎⋱⫍A51=⪎⋱⫍C4","layer":3},{"info":"⪎⋱⫍A7B⪨≂⪎⋱⫍C4=⪎⋱⫍16BC","layer":2},{"info":"⪎⋱⫍5434⪨≂⪎⋱⫍16BC=⪎⋱⫍7838","layer":1},{"info":"NaN⋷⪎⋱⫍7838=NaN","layer":0}]}
{"id":821,"expression_no_base_symbol":"(((≦∁$2386$)⪮%⊝($1302$⇼⇔∾$3652$))∧)⨓(⊥(≉$1241$)⊴($1091$⇋≉))","expression":"(((≦∁⪎⋱⫍1117)⪮%⊝(⪎⋱⫍792⇼⇔∾⪎⋱⫍187C))∧)⨓(⊥(≉⪎⋱⫍746)⊴(⪎⋱⫍65C⇋≉))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2121,"operation_count":9,"complexity_ratio":235.66666666666666,"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":2386,"base":13}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1302,"base":13},"right_expr":{"type":"numeric_atoms","value":3652,"base":13}}}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1241,"base":13}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":1091,"base":13}}}}},"used_operators":["3ViojmjbAp","z63VuFQld9","IWmyXbctLI","9ICcGScMcE","tifHPKVTfV","Q3PJZHRvZv","Nsiff2A1zJ","e1ybzncUwg","XIabStNQrY"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","fu6greOZ01","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2386","layer":4},{"info":"compute unary expreesion, input=2386, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=2386","layer":3},{"info":"number node, value=1302","layer":4},{"info":"number node, value=3652","layer":4},{"info":"compute binary expreesion, left_input=1302, right_input=3652, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=2350","layer":3},{"info":"compute binary expreesion, left_input=2386, right_input=2350, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=5088","layer":2},{"info":"compute unary expreesion, input=5088, 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=1241","layer":4},{"info":"compute unary expreesion, input=1241, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=1772","layer":3},{"info":"number node, value=1091","layer":4},{"info":"compute unary expreesion, input=1091, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=2084","layer":3},{"info":"compute binary expreesion, left_input=1772, right_input=2084, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(((≦∁⪎⋱⫍1117)⪮%⊝(⪎⋱⫍792⇼⇔∾⪎⋱⫍187C))∧)⨓(⊥(≉⪎⋱⫍746)⊴(⪎⋱⫍65C⇋≉))=NaN","reverse_text":"NaN=(((≦∁⪎⋱⫍1117)⪮%⊝(⪎⋱⫍792⇼⇔∾⪎⋱⫍187C))∧)⨓(⊥(≉⪎⋱⫍746)⊴(⪎⋱⫍65C⇋≉))","cot":[{"info":"≦∁⪎⋱⫍1117=⪎⋱⫍1117","layer":3},{"info":"⪎⋱⫍792⇼⇔∾⪎⋱⫍187C=⪎⋱⫍10BA","layer":3},{"info":"⪎⋱⫍1117⪮%⊝⪎⋱⫍10BA=⪎⋱⫍2415","layer":2},{"info":"⪎⋱⫍2415∧=NaN","layer":1},{"info":"≉⪎⋱⫍746=⪎⋱⫍A64","layer":3},{"info":"⪎⋱⫍65C⇋≉=⪎⋱⫍C44","layer":3},{"info":"⪎⋱⫍A64⊴⪎⋱⫍C44=NaN","layer":2},{"info":"⊥NaN=NaN","layer":1},{"info":"NaN⨓NaN=NaN","layer":0}]}
{"id":822,"expression_no_base_symbol":"($4379$⋥≓≎$5015$)⩷∴(↯⪼$9199$)⋥≓≎(∂$1470$∼$5372$)⋷($6343$⨵⪆$1300$+$1973$⪢$9512$)≧⫂∧($4493$↬$1412$∲⫓($1212$⋫))","expression":"(⪎⋱⫍1CBB⋥≓≎⪎⋱⫍238A)⩷∴(↯⪼⪎⋱⫍4258)⋥≓≎(∂⪎⋱⫍891∼⪎⋱⫍25A3)⋷(⪎⋱⫍2B6C⨵⪆⪎⋱⫍790+⪎⋱⫍B8A⪢⪎⋱⫍4439)≧⫂∧(⪎⋱⫍2078↬⪎⋱⫍848∲⫓(⪎⋱⫍723⋫))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":10808,"operation_count":14,"complexity_ratio":772.0,"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":4379,"base":13},"right_expr":{"type":"numeric_atoms","value":5015,"base":13}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":9199,"base":13}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1470,"base":13},"right_expr":{"type":"numeric_atoms","value":5372,"base":13}}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":6343,"base":13},"right_expr":{"type":"numeric_atoms","value":1300,"base":13}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1973,"base":13},"right_expr":{"type":"numeric_atoms","value":9512,"base":13}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":4493,"base":13},"right_expr":{"type":"numeric_atoms","value":1412,"base":13}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":1212,"base":13}}}}},"used_operators":["23Mk6UjR3U","Qy55tPpLXF","9FxExcQeMw","8jW3W4yZS5","Uaa54Peajs","DyGG3AbaNP","Ph9nP6C5qx","W4YGzv6Whe","2DQ55sFlQl","dWAJyo7jo9","i8ToyICDmI","B5M0gjZbta","JL8yIekQnl"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","tmPS8pqC7x"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=4379","layer":4},{"info":"number node, value=5015","layer":4},{"info":"compute binary expreesion, left_input=4379, right_input=5015, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=5684","layer":3},{"info":"number node, value=9199","layer":4},{"info":"compute unary expreesion, input=9199, 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=5684, right_input=-21, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=11378","layer":2},{"info":"number node, value=1470","layer":4},{"info":"number node, value=5372","layer":4},{"info":"compute binary expreesion, left_input=1470, right_input=5372, 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=11378, 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=6343","layer":4},{"info":"number node, value=1300","layer":4},{"info":"compute binary expreesion, left_input=6343, right_input=1300, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=1973","layer":4},{"info":"number node, value=9512","layer":4},{"info":"compute binary expreesion, left_input=1973, right_input=9512, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=160, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=4493","layer":4},{"info":"number node, value=1412","layer":4},{"info":"compute binary expreesion, left_input=4493, right_input=1412, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=1212","layer":4},{"info":"compute unary expreesion, input=1212, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=1212","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1212, 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 = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-473","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-473, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍1CBB⋥≓≎⪎⋱⫍238A)⩷∴(↯⪼⪎⋱⫍4258)⋥≓≎(∂⪎⋱⫍891∼⪎⋱⫍25A3)⋷(⪎⋱⫍2B6C⨵⪆⪎⋱⫍790+⪎⋱⫍B8A⪢⪎⋱⫍4439)≧⫂∧(⪎⋱⫍2078↬⪎⋱⫍848∲⫓(⪎⋱⫍723⋫))=NaN","reverse_text":"NaN=(⪎⋱⫍1CBB⋥≓≎⪎⋱⫍238A)⩷∴(↯⪼⪎⋱⫍4258)⋥≓≎(∂⪎⋱⫍891∼⪎⋱⫍25A3)⋷(⪎⋱⫍2B6C⨵⪆⪎⋱⫍790+⪎⋱⫍B8A⪢⪎⋱⫍4439)≧⫂∧(⪎⋱⫍2078↬⪎⋱⫍848∲⫓(⪎⋱⫍723⋫))","cot":[{"info":"⪎⋱⫍1CBB⋥≓≎⪎⋱⫍238A=⪎⋱⫍2783","layer":3},{"info":"↯⪼⪎⋱⫍4258=⪎⋱⫍-18","layer":3},{"info":"⪎⋱⫍2783⩷∴⪎⋱⫍-18=⪎⋱⫍5243","layer":2},{"info":"⪎⋱⫍891∼⪎⋱⫍25A3=NaN","layer":3},{"info":"∂NaN=NaN","layer":2},{"info":"⪎⋱⫍5243⋥≓≎NaN=NaN","layer":1},{"info":"⪎⋱⫍2B6C⨵⪆⪎⋱⫍790=⪎⋱⫍C4","layer":3},{"info":"⪎⋱⫍B8A⪢⪎⋱⫍4439=NaN","layer":3},{"info":"⪎⋱⫍C4+NaN=NaN","layer":2},{"info":"⪎⋱⫍2078↬⪎⋱⫍848=NaN","layer":3},{"info":"⪎⋱⫍723⋫=⪎⋱⫍723","layer":3},{"info":"NaN∲⫓⪎⋱⫍723=⪎⋱⫍0","layer":2},{"info":"NaN≧⫂∧⪎⋱⫍0=⪎⋱⫍-2A5","layer":1},{"info":"NaN⋷⪎⋱⫍-2A5=NaN","layer":0}]}
{"id":823,"expression_no_base_symbol":"($1017$⫸⊐$1253$)≧⫂∧(↥$5259$)⇼⇔∾(⋗⩬⋾($3542$⨵⪆$1478$))*(($2519$⊉≛↸$1028$)⋥≓≎($4094$⪄$2756$)⊭↱$2583$⋓$4702$⋥≓≎(+⊝⨔$5964$))","expression":"(⪎⋱⫍603⫸⊐⪎⋱⫍755)≧⫂∧(↥⪎⋱⫍2517)⇼⇔∾(⋗⩬⋾(⪎⋱⫍17C6⨵⪆⪎⋱⫍899))*((⪎⋱⫍11BA⊉≛↸⪎⋱⫍611)⋥≓≎(⪎⋱⫍1B2C⪄⪎⋱⫍1340)⊭↱⪎⋱⫍1239⋓⪎⋱⫍21A9⋥≓≎(+⊝⨔⪎⋱⫍293A))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":311,"operation_count":14,"complexity_ratio":22.214285714285715,"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":1017,"base":13},"right_expr":{"type":"numeric_atoms","value":1253,"base":13}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":5259,"base":13}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":3542,"base":13},"right_expr":{"type":"numeric_atoms","value":1478,"base":13}}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2519,"base":13},"right_expr":{"type":"numeric_atoms","value":1028,"base":13}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":4094,"base":13},"right_expr":{"type":"numeric_atoms","value":2756,"base":13}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2583,"base":13},"right_expr":{"type":"numeric_atoms","value":4702,"base":13}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":5964,"base":13}}}}},"used_operators":["9HNa5Wba9A","tifHPKVTfV","Ph9nP6C5qx","mqXw5SEYmG","A8NUZmVepG","DpFCA1CohY","2DQ55sFlQl","COABgblf1C","Qy55tPpLXF","DZ8iAZOCBD","SUmda5xLS4","T2fj7uvVaJ","DhbWaqg5eL"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"⪎⋱⫍-68561B0","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1017","layer":4},{"info":"number node, value=1253","layer":4},{"info":"compute binary expreesion, left_input=1017, right_input=1253, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=4887","layer":3},{"info":"number node, value=5259","layer":4},{"info":"compute unary expreesion, input=5259, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=6","layer":3},{"info":"compute binary expreesion, left_input=4887, right_input=6, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-467","layer":2},{"info":"number node, value=3542","layer":4},{"info":"number node, value=1478","layer":4},{"info":"compute binary expreesion, left_input=3542, right_input=1478, 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 = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-480","layer":2},{"info":"compute binary expreesion, left_input=-467, right_input=-480, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-13","layer":1},{"info":"number node, value=2519","layer":4},{"info":"number node, value=1028","layer":4},{"info":"compute binary expreesion, left_input=2519, right_input=1028, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=5038","layer":3},{"info":"number node, value=4094","layer":4},{"info":"number node, value=2756","layer":4},{"info":"compute binary expreesion, left_input=4094, right_input=2756, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-613025","layer":3},{"info":"compute binary expreesion, left_input=5038, right_input=-613025, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-1231055","layer":2},{"info":"number node, value=2583","layer":4},{"info":"number node, value=4702","layer":4},{"info":"compute binary expreesion, left_input=2583, right_input=4702, op_id = T2fj7uvVaJ binary_op_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=5964","layer":4},{"info":"compute unary expreesion, input=5964, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1522, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=3077","layer":2},{"info":"compute binary expreesion, left_input=-1231055, right_input=3077, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=2468269","layer":1},{"info":"compute binary expreesion, left_input=-13, right_input=2468269, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-32087497","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍603⫸⊐⪎⋱⫍755)≧⫂∧(↥⪎⋱⫍2517)⇼⇔∾(⋗⩬⋾(⪎⋱⫍17C6⨵⪆⪎⋱⫍899))*((⪎⋱⫍11BA⊉≛↸⪎⋱⫍611)⋥≓≎(⪎⋱⫍1B2C⪄⪎⋱⫍1340)⊭↱⪎⋱⫍1239⋓⪎⋱⫍21A9⋥≓≎(+⊝⨔⪎⋱⫍293A))=⪎⋱⫍-68561B0","reverse_text":"⪎⋱⫍-68561B0=(⪎⋱⫍603⫸⊐⪎⋱⫍755)≧⫂∧(↥⪎⋱⫍2517)⇼⇔∾(⋗⩬⋾(⪎⋱⫍17C6⨵⪆⪎⋱⫍899))*((⪎⋱⫍11BA⊉≛↸⪎⋱⫍611)⋥≓≎(⪎⋱⫍1B2C⪄⪎⋱⫍1340)⊭↱⪎⋱⫍1239⋓⪎⋱⫍21A9⋥≓≎(+⊝⨔⪎⋱⫍293A))","cot":[{"info":"⪎⋱⫍603⫸⊐⪎⋱⫍755=⪎⋱⫍22BC","layer":3},{"info":"↥⪎⋱⫍2517=⪎⋱⫍6","layer":3},{"info":"⪎⋱⫍22BC≧⫂∧⪎⋱⫍6=⪎⋱⫍-29C","layer":2},{"info":"⪎⋱⫍17C6⨵⪆⪎⋱⫍899=⪎⋱⫍C4","layer":3},{"info":"⋗⩬⋾⪎⋱⫍C4=⪎⋱⫍-2AC","layer":2},{"info":"⪎⋱⫍-29C⇼⇔∾⪎⋱⫍-2AC=⪎⋱⫍-10","layer":1},{"info":"⪎⋱⫍11BA⊉≛↸⪎⋱⫍611=⪎⋱⫍23A7","layer":3},{"info":"⪎⋱⫍1B2C⪄⪎⋱⫍1340=⪎⋱⫍-18604A","layer":3},{"info":"⪎⋱⫍23A7⋥≓≎⪎⋱⫍-18604A=⪎⋱⫍-341447","layer":2},{"info":"⪎⋱⫍1239⋓⪎⋱⫍21A9=⪎⋱⫍0","layer":3},{"info":"+⊝⨔⪎⋱⫍293A=⪎⋱⫍901","layer":3},{"info":"⪎⋱⫍0⋥≓≎⪎⋱⫍901=⪎⋱⫍1529","layer":2},{"info":"⪎⋱⫍-341447⊭↱⪎⋱⫍1529=⪎⋱⫍68561B","layer":1},{"info":"⪎⋱⫍-10*⪎⋱⫍68561B=⪎⋱⫍-68561B0","layer":0}]}
{"id":824,"expression_no_base_symbol":"(⊥(⋗⩬⋾$4427$))-$1829$⋓$4882$⨽$1556$≹⇙⪍$4359$/(($1110$⫌⩹⨱)⊦⊿)⋥≓≎(⊥$7659$)⪘⫢$1986$⨟⋌⩍$2393$","expression":"(⊥(⋗⩬⋾⪎⋱⫍2027))-⪎⋱⫍AA9⋓⪎⋱⫍22B7⨽⪎⋱⫍929≹⇙⪍⪎⋱⫍1CA4/((⪎⋱⫍675⫌⩹⨱)⊦⊿)⋥≓≎(⊥⪎⋱⫍3642)⪘⫢⪎⋱⫍B9A⨟⋌⩍⪎⋱⫍1121","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":56,"operation_count":13,"complexity_ratio":4.3076923076923075,"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":4427,"base":13}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1829,"base":13},"right_expr":{"type":"numeric_atoms","value":4882,"base":13}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1556,"base":13},"right_expr":{"type":"numeric_atoms","value":4359,"base":13}}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":1110,"base":13}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":7659,"base":13}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1986,"base":13},"right_expr":{"type":"numeric_atoms","value":2393,"base":13}}}}},"used_operators":["XhwjNDsVaA","rysDP5nf3Z","Q3PJZHRvZv","DpFCA1CohY","8HhzD0ZcuI","T2fj7uvVaJ","AHs5Up7iyr","Qy55tPpLXF","14qkJME0vr","EBcxylXtPf","oacrs7FA3X","rGHVDoGpnC"],"dependent_operators":["rysDP5nf3Z","fu6greOZ01","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","dWAJyo7jo9","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4427","layer":4},{"info":"compute unary expreesion, input=4427, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-13281","layer":3},{"info":"compute unary expreesion, input=-13281, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"number node, value=1829","layer":4},{"info":"number node, value=4882","layer":4},{"info":"compute binary expreesion, left_input=1829, right_input=4882, op_id = T2fj7uvVaJ binary_op_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=1556","layer":4},{"info":"number node, value=4359","layer":4},{"info":"compute binary expreesion, left_input=1556, right_input=4359, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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 = 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 = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=1110","layer":4},{"info":"compute unary expreesion, input=1110, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=3621","layer":3},{"info":"compute unary expreesion, input=3621, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-10942","layer":2},{"info":"number node, value=7659","layer":4},{"info":"compute unary expreesion, input=7659, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=1986","layer":4},{"info":"number node, value=2393","layer":4},{"info":"compute binary expreesion, left_input=1986, right_input=2393, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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 = 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=-10942, right_input=nan, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⊥(⋗⩬⋾⪎⋱⫍2027))-⪎⋱⫍AA9⋓⪎⋱⫍22B7⨽⪎⋱⫍929≹⇙⪍⪎⋱⫍1CA4/((⪎⋱⫍675⫌⩹⨱)⊦⊿)⋥≓≎(⊥⪎⋱⫍3642)⪘⫢⪎⋱⫍B9A⨟⋌⩍⪎⋱⫍1121=NaN","reverse_text":"NaN=(⊥(⋗⩬⋾⪎⋱⫍2027))-⪎⋱⫍AA9⋓⪎⋱⫍22B7⨽⪎⋱⫍929≹⇙⪍⪎⋱⫍1CA4/((⪎⋱⫍675⫌⩹⨱)⊦⊿)⋥≓≎(⊥⪎⋱⫍3642)⪘⫢⪎⋱⫍B9A⨟⋌⩍⪎⋱⫍1121","cot":[{"info":"⋗⩬⋾⪎⋱⫍2027=⪎⋱⫍-6078","layer":3},{"info":"⊥⪎⋱⫍-6078=NaN","layer":2},{"info":"⪎⋱⫍AA9⋓⪎⋱⫍22B7=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍929≹⇙⪍⪎⋱⫍1CA4=NaN","layer":3},{"info":"⪎⋱⫍0⨽NaN=NaN","layer":2},{"info":"NaN-NaN=NaN","layer":1},{"info":"⪎⋱⫍675⫌⩹⨱=⪎⋱⫍1857","layer":3},{"info":"⪎⋱⫍1857⊦⊿=⪎⋱⫍-4C99","layer":2},{"info":"⊥⪎⋱⫍3642=NaN","layer":3},{"info":"⪎⋱⫍B9A⨟⋌⩍⪎⋱⫍1121=NaN","layer":3},{"info":"NaN⪘⫢NaN=NaN","layer":2},{"info":"⪎⋱⫍-4C99⋥≓≎NaN=⪎⋱⫍52","layer":1},{"info":"NaN/⪎⋱⫍52=NaN","layer":0}]}
{"id":825,"expression_no_base_symbol":"(($1966$⊠≄⫣)⨽(≉$5032$))⨓(-(⫓⪴$5214$))≭(($4507$⨟⋌⩍$5838$)⊴($2177$≭$4207$)⋳⪒($2293$∑⇟⊟$3559$⨎($1021$%$7372$)))","expression":"((⪎⋱⫍B83⊠≄⫣)⨽(≉⪎⋱⫍23A1))⨓(-(⫓⪴⪎⋱⫍24B1))≭((⪎⋱⫍2089⨟⋌⩍⪎⋱⫍2871)⊴(⪎⋱⫍CB6≭⪎⋱⫍1BB8)⋳⪒(⪎⋱⫍1075∑⇟⊟⪎⋱⫍180A⨎(⪎⋱⫍607%⪎⋱⫍3481)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":5257,"operation_count":14,"complexity_ratio":375.5,"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":1966,"base":13}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":5032,"base":13}}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":5214,"base":13}}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":4507,"base":13},"right_expr":{"type":"numeric_atoms","value":5838,"base":13}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2177,"base":13},"right_expr":{"type":"numeric_atoms","value":4207,"base":13}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":2293,"base":13},"right_expr":{"type":"numeric_atoms","value":3559,"base":13}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1021,"base":13},"right_expr":{"type":"numeric_atoms","value":7372,"base":13}}}}},"used_operators":["rxpJgHHUmx","3ViojmjbAp","8HhzD0ZcuI","DIvbN7qnHd","e1ybzncUwg","t8gj7n24qd","eLxqMNBOBk","12rbrZMWeM","Nsiff2A1zJ","rGHVDoGpnC","rJVOvQCfKK","U7g4x0WXJJ","k8jYdgA6NY"],"dependent_operators":["AHs5Up7iyr","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","Tcnh7f0tEr","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1966","layer":4},{"info":"compute unary expreesion, input=1966, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"number node, value=5032","layer":4},{"info":"compute unary expreesion, input=5032, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=5563","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=5563, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-15375","layer":2},{"info":"number node, value=5214","layer":4},{"info":"compute unary expreesion, input=5214, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=27185796","layer":3},{"info":"compute unary expreesion, input=27185796, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-27185796","layer":2},{"info":"compute binary expreesion, left_input=-15375, right_input=-27185796, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":1},{"info":"number node, value=4507","layer":4},{"info":"number node, value=5838","layer":4},{"info":"compute binary expreesion, left_input=4507, right_input=5838, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=2177","layer":4},{"info":"number node, value=4207","layer":4},{"info":"compute binary expreesion, left_input=2177, right_input=4207, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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 = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=2293","layer":4},{"info":"number node, value=3559","layer":4},{"info":"compute binary expreesion, left_input=2293, right_input=3559, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=1021","layer":4},{"info":"number node, value=7372","layer":4},{"info":"compute binary expreesion, left_input=1021, right_input=7372, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1021","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1021, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1021","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1021, 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 = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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":13,"result_base":13,"text":"((⪎⋱⫍B83⊠≄⫣)⨽(≉⪎⋱⫍23A1))⨓(-(⫓⪴⪎⋱⫍24B1))≭((⪎⋱⫍2089⨟⋌⩍⪎⋱⫍2871)⊴(⪎⋱⫍CB6≭⪎⋱⫍1BB8)⋳⪒(⪎⋱⫍1075∑⇟⊟⪎⋱⫍180A⨎(⪎⋱⫍607%⪎⋱⫍3481)))=NaN","reverse_text":"NaN=((⪎⋱⫍B83⊠≄⫣)⨽(≉⪎⋱⫍23A1))⨓(-(⫓⪴⪎⋱⫍24B1))≭((⪎⋱⫍2089⨟⋌⩍⪎⋱⫍2871)⊴(⪎⋱⫍CB6≭⪎⋱⫍1BB8)⋳⪒(⪎⋱⫍1075∑⇟⊟⪎⋱⫍180A⨎(⪎⋱⫍607%⪎⋱⫍3481)))","cot":[{"info":"⪎⋱⫍B83⊠≄⫣=⪎⋱⫍0","layer":3},{"info":"≉⪎⋱⫍23A1=⪎⋱⫍26BC","layer":3},{"info":"⪎⋱⫍0⨽⪎⋱⫍26BC=⪎⋱⫍-6CC9","layer":2},{"info":"⫓⪴⪎⋱⫍24B1=⪎⋱⫍582B091","layer":3},{"info":"-⪎⋱⫍582B091=⪎⋱⫍-582B091","layer":2},{"info":"⪎⋱⫍-6CC9⨓⪎⋱⫍-582B091=NaN","layer":1},{"info":"⪎⋱⫍2089⨟⋌⩍⪎⋱⫍2871=NaN","layer":3},{"info":"⪎⋱⫍CB6≭⪎⋱⫍1BB8=NaN","layer":3},{"info":"NaN⊴NaN=NaN","layer":2},{"info":"⪎⋱⫍1075∑⇟⊟⪎⋱⫍180A=NaN","layer":3},{"info":"⪎⋱⫍607%⪎⋱⫍3481=⪎⋱⫍607","layer":3},{"info":"NaN⨎⪎⋱⫍607=⪎⋱⫍607","layer":2},{"info":"NaN⋳⪒⪎⋱⫍607=NaN","layer":1},{"info":"NaN≭NaN=NaN","layer":0}]}
{"id":826,"expression_no_base_symbol":"↥((↣≠⋷($4709$∲⫓$2277$))∲⫓($1042$⨸⪁$1909$)⪄$3535$≭$9059$)","expression":"↥((↣≠⋷(⪎⋱⫍21B3∲⫓⪎⋱⫍1062))∲⫓(⪎⋱⫍622⨸⪁⪎⋱⫍B3B)⪄⪎⋱⫍17BC≭⪎⋱⫍417B)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":106,"operation_count":7,"complexity_ratio":15.142857142857142,"tree":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":4709,"base":13},"right_expr":{"type":"numeric_atoms","value":2277,"base":13}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1042,"base":13},"right_expr":{"type":"numeric_atoms","value":1909,"base":13}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":3535,"base":13},"right_expr":{"type":"numeric_atoms","value":9059,"base":13}}}}},"used_operators":["A8NUZmVepG","i8ToyICDmI","Asc51vEJeQ","SUmda5xLS4","g55IO6H4Gj","rxpJgHHUmx"],"dependent_operators":["k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4709","layer":4},{"info":"number node, value=2277","layer":4},{"info":"compute binary expreesion, left_input=4709, right_input=2277, 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 = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"number node, value=1042","layer":4},{"info":"number node, value=1909","layer":4},{"info":"compute binary expreesion, left_input=1042, right_input=1909, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=5902","layer":3},{"info":"number node, value=3535","layer":4},{"info":"number node, value=9059","layer":4},{"info":"compute binary expreesion, left_input=3535, right_input=9059, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=5902, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=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 = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"↥((↣≠⋷(⪎⋱⫍21B3∲⫓⪎⋱⫍1062))∲⫓(⪎⋱⫍622⨸⪁⪎⋱⫍B3B)⪄⪎⋱⫍17BC≭⪎⋱⫍417B)=NaN","reverse_text":"NaN=↥((↣≠⋷(⪎⋱⫍21B3∲⫓⪎⋱⫍1062))∲⫓(⪎⋱⫍622⨸⪁⪎⋱⫍B3B)⪄⪎⋱⫍17BC≭⪎⋱⫍417B)","cot":[{"info":"⪎⋱⫍21B3∲⫓⪎⋱⫍1062=⪎⋱⫍0","layer":3},{"info":"↣≠⋷⪎⋱⫍0=NaN","layer":2},{"info":"⪎⋱⫍622⨸⪁⪎⋱⫍B3B=⪎⋱⫍28C0","layer":3},{"info":"⪎⋱⫍17BC≭⪎⋱⫍417B=NaN","layer":3},{"info":"⪎⋱⫍28C0⪄NaN=NaN","layer":2},{"info":"NaN∲⫓NaN=NaN","layer":1},{"info":"↥NaN=NaN","layer":0}]}
{"id":827,"expression_no_base_symbol":"(↯⪼(∥⊫$2928$⫥∨⫟$2906$))⫸⊐((↩($4052$%$1694$))⇋≉)","expression":"(↯⪼(∥⊫⪎⋱⫍1443⫥∨⫟⪎⋱⫍1427))⫸⊐((↩(⪎⋱⫍1AC9%⪎⋱⫍A04))⇋≉)","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":213,"operation_count":7,"complexity_ratio":30.428571428571427,"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":2928,"base":13},"right_expr":{"type":"numeric_atoms","value":2906,"base":13}}}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":4052,"base":13},"right_expr":{"type":"numeric_atoms","value":1694,"base":13}}}}},"used_operators":["mqXw5SEYmG","8jW3W4yZS5","P8v4zCKN1o","KYD54nUTWz","XIabStNQrY","jLgFTUHLKL","k8jYdgA6NY"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z"],"result":"⪎⋱⫍298","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2928","layer":4},{"info":"number node, value=2906","layer":4},{"info":"compute binary expreesion, left_input=2928, right_input=2906, 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":"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=4052","layer":4},{"info":"number node, value=1694","layer":4},{"info":"compute binary expreesion, left_input=4052, right_input=1694, op_id = k8jYdgA6NY binary_op_definition= 'None', output=664","layer":3},{"info":"compute unary expreesion, input=664, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-2532","layer":2},{"info":"compute unary expreesion, input=-2532, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=-5162","layer":1},{"info":"compute binary expreesion, left_input=-21, right_input=-5162, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=463","layer":0}],"base":13,"result_base":13,"text":"(↯⪼(∥⊫⪎⋱⫍1443⫥∨⫟⪎⋱⫍1427))⫸⊐((↩(⪎⋱⫍1AC9%⪎⋱⫍A04))⇋≉)=⪎⋱⫍298","reverse_text":"⪎⋱⫍298=(↯⪼(∥⊫⪎⋱⫍1443⫥∨⫟⪎⋱⫍1427))⫸⊐((↩(⪎⋱⫍1AC9%⪎⋱⫍A04))⇋≉)","cot":[{"info":"⪎⋱⫍1443⫥∨⫟⪎⋱⫍1427=NaN","layer":3},{"info":"∥⊫NaN=NaN","layer":2},{"info":"↯⪼NaN=⪎⋱⫍-18","layer":1},{"info":"⪎⋱⫍1AC9%⪎⋱⫍A04=⪎⋱⫍3C1","layer":3},{"info":"↩⪎⋱⫍3C1=⪎⋱⫍-11CA","layer":2},{"info":"⪎⋱⫍-11CA⇋≉=⪎⋱⫍-2471","layer":1},{"info":"⪎⋱⫍-18⫸⊐⪎⋱⫍-2471=⪎⋱⫍298","layer":0}]}
{"id":828,"expression_no_base_symbol":"(+⊝⨔($3896$≎⊠⪸$5185$⪠⩆⊳))⊦⊿","expression":"(+⊝⨔(⪎⋱⫍1A09≎⊠⪸⪎⋱⫍248B⪠⩆⊳))⊦⊿","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":302,"operation_count":4,"complexity_ratio":75.5,"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":3896,"base":13},"right_expr":{"type":"numeric_atoms","value":5185,"base":13}}}}},"used_operators":["14qkJME0vr","DhbWaqg5eL","JLbD19bQDL","bJkvcejdHO"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"⪎⋱⫍-2164","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3896","layer":4},{"info":"number node, value=5185","layer":4},{"info":"compute binary expreesion, left_input=3896, right_input=5185, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1008591","layer":3},{"info":"compute unary expreesion, input=1008591, 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 = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":1},{"info":"compute unary expreesion, input=1522, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-4645","layer":0}],"base":13,"result_base":13,"text":"(+⊝⨔(⪎⋱⫍1A09≎⊠⪸⪎⋱⫍248B⪠⩆⊳))⊦⊿=⪎⋱⫍-2164","reverse_text":"⪎⋱⫍-2164=(+⊝⨔(⪎⋱⫍1A09≎⊠⪸⪎⋱⫍248B⪠⩆⊳))⊦⊿","cot":[{"info":"⪎⋱⫍1A09≎⊠⪸⪎⋱⫍248B=⪎⋱⫍2940CC","layer":3},{"info":"⪎⋱⫍2940CC⪠⩆⊳=⪎⋱⫍0","layer":2},{"info":"+⊝⨔⪎⋱⫍0=⪎⋱⫍901","layer":1},{"info":"⪎⋱⫍901⊦⊿=⪎⋱⫍-2164","layer":0}]}
{"id":829,"expression_no_base_symbol":"((≤/$1860$)⨳⩥⨓($1627$∧))∀⇚≩($3981$∼$7950$⋫)≭($4808$⪒$3791$)∀⇚≩($3754$+$1036$)⩷∴(($1240$⩨$3930$)⋝⋈⪟($1661$⋝⋈⪟$5856$))","expression":"((≤/⪎⋱⫍B01)⨳⩥⨓(⪎⋱⫍982∧))∀⇚≩(⪎⋱⫍1A73∼⪎⋱⫍3807⋫)≭(⪎⋱⫍225B⪒⪎⋱⫍1958)∀⇚≩(⪎⋱⫍192A+⪎⋱⫍619)⩷∴((⪎⋱⫍745⩨⪎⋱⫍1A34)⋝⋈⪟(⪎⋱⫍9AA⋝⋈⪟⪎⋱⫍2886))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":60308,"operation_count":14,"complexity_ratio":4307.714285714285,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1860,"base":13}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":1627,"base":13}}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":3981,"base":13},"right_expr":{"type":"numeric_atoms","value":7950,"base":13}}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":4808,"base":13},"right_expr":{"type":"numeric_atoms","value":3791,"base":13}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":3754,"base":13},"right_expr":{"type":"numeric_atoms","value":1036,"base":13}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1240,"base":13},"right_expr":{"type":"numeric_atoms","value":3930,"base":13}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1661,"base":13},"right_expr":{"type":"numeric_atoms","value":5856,"base":13}}}}},"used_operators":["rxpJgHHUmx","LRNGc0VcxI","nCS4ZIUYfx","eLAdDNolq6","z63VuFQld9","JL8yIekQnl","DyGG3AbaNP","9FxExcQeMw","f6k1SAg4EE","W4YGzv6Whe","2DDjHMKMc0","2DlMacCsIx"],"dependent_operators":["AHs5Up7iyr","X99M06cbEe","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","tmPS8pqC7x","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1860","layer":4},{"info":"compute unary expreesion, input=1860, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1376","layer":3},{"info":"number node, value=1627","layer":4},{"info":"compute unary expreesion, input=1627, 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=-1376, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":2},{"info":"number node, value=3981","layer":4},{"info":"number node, value=7950","layer":4},{"info":"compute binary expreesion, left_input=3981, right_input=7950, 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 = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":1},{"info":"number node, value=4808","layer":4},{"info":"number node, value=3791","layer":4},{"info":"compute binary expreesion, left_input=4808, right_input=3791, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-8599","layer":3},{"info":"number node, value=3754","layer":4},{"info":"number node, value=1036","layer":4},{"info":"compute binary expreesion, left_input=3754, right_input=1036, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4790","layer":3},{"info":"compute binary expreesion, left_input=-8599, right_input=4790, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=1240","layer":4},{"info":"number node, value=3930","layer":4},{"info":"compute binary expreesion, left_input=1240, right_input=3930, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-9","layer":3},{"info":"number node, value=1661","layer":4},{"info":"number node, value=5856","layer":4},{"info":"compute binary expreesion, left_input=1661, right_input=5856, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1661","layer":3},{"info":"compute binary expreesion, left_input=-9, right_input=1661, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-9","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-9, 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 = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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":13,"result_base":13,"text":"((≤/⪎⋱⫍B01)⨳⩥⨓(⪎⋱⫍982∧))∀⇚≩(⪎⋱⫍1A73∼⪎⋱⫍3807⋫)≭(⪎⋱⫍225B⪒⪎⋱⫍1958)∀⇚≩(⪎⋱⫍192A+⪎⋱⫍619)⩷∴((⪎⋱⫍745⩨⪎⋱⫍1A34)⋝⋈⪟(⪎⋱⫍9AA⋝⋈⪟⪎⋱⫍2886))=NaN","reverse_text":"NaN=((≤/⪎⋱⫍B01)⨳⩥⨓(⪎⋱⫍982∧))∀⇚≩(⪎⋱⫍1A73∼⪎⋱⫍3807⋫)≭(⪎⋱⫍225B⪒⪎⋱⫍1958)∀⇚≩(⪎⋱⫍192A+⪎⋱⫍619)⩷∴((⪎⋱⫍745⩨⪎⋱⫍1A34)⋝⋈⪟(⪎⋱⫍9AA⋝⋈⪟⪎⋱⫍2886))","cot":[{"info":"≤/⪎⋱⫍B01=⪎⋱⫍-81B","layer":3},{"info":"⪎⋱⫍982∧=NaN","layer":3},{"info":"⪎⋱⫍-81B⨳⩥⨓NaN=NaN","layer":2},{"info":"⪎⋱⫍1A73∼⪎⋱⫍3807=NaN","layer":3},{"info":"NaN⋫=NaN","layer":2},{"info":"NaN∀⇚≩NaN=NaN","layer":1},{"info":"⪎⋱⫍225B⪒⪎⋱⫍1958=⪎⋱⫍-3BB6","layer":3},{"info":"⪎⋱⫍192A+⪎⋱⫍619=⪎⋱⫍2246","layer":3},{"info":"⪎⋱⫍-3BB6∀⇚≩⪎⋱⫍2246=NaN","layer":2},{"info":"⪎⋱⫍745⩨⪎⋱⫍1A34=⪎⋱⫍-9","layer":3},{"info":"⪎⋱⫍9AA⋝⋈⪟⪎⋱⫍2886=⪎⋱⫍9AA","layer":3},{"info":"⪎⋱⫍-9⋝⋈⪟⪎⋱⫍9AA=⪎⋱⫍-9","layer":2},{"info":"NaN⩷∴⪎⋱⫍-9=NaN","layer":1},{"info":"NaN≭NaN=NaN","layer":0}]}
{"id":830,"expression_no_base_symbol":"⨈⫕(⫓⪴($1615$⨎$2950$⨵⪆$2062$∑⇟⊟$3967$))","expression":"⨈⫕(⫓⪴(⪎⋱⫍973⨎⪎⋱⫍145C⨵⪆⪎⋱⫍C28∑⇟⊟⪎⋱⫍1A62))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":549,"operation_count":5,"complexity_ratio":109.8,"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":1615,"base":13},"right_expr":{"type":"numeric_atoms","value":2950,"base":13}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":2062,"base":13},"right_expr":{"type":"numeric_atoms","value":3967,"base":13}}}}},"used_operators":["megm06wKyl","eLxqMNBOBk","2DQ55sFlQl","rJVOvQCfKK","U7g4x0WXJJ"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"⪎⋱⫍-18","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1615","layer":4},{"info":"number node, value=2950","layer":4},{"info":"compute binary expreesion, left_input=1615, right_input=2950, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2950","layer":3},{"info":"number node, value=2062","layer":4},{"info":"number node, value=3967","layer":4},{"info":"compute binary expreesion, left_input=2062, right_input=3967, 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=2950, 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":"compute unary expreesion, input=25600, 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":13,"result_base":13,"text":"⨈⫕(⫓⪴(⪎⋱⫍973⨎⪎⋱⫍145C⨵⪆⪎⋱⫍C28∑⇟⊟⪎⋱⫍1A62))=⪎⋱⫍-18","reverse_text":"⪎⋱⫍-18=⨈⫕(⫓⪴(⪎⋱⫍973⨎⪎⋱⫍145C⨵⪆⪎⋱⫍C28∑⇟⊟⪎⋱⫍1A62))","cot":[{"info":"⪎⋱⫍973⨎⪎⋱⫍145C=⪎⋱⫍145C","layer":3},{"info":"⪎⋱⫍C28∑⇟⊟⪎⋱⫍1A62=NaN","layer":3},{"info":"⪎⋱⫍145C⨵⪆NaN=⪎⋱⫍C4","layer":2},{"info":"⫓⪴⪎⋱⫍C4=⪎⋱⫍B863","layer":1},{"info":"⨈⫕⪎⋱⫍B863=⪎⋱⫍-18","layer":0}]}
{"id":831,"expression_no_base_symbol":"(≤/($2063$⪄$6737$⨵⪆(⇁⨣⪵$3293$)))⨐⩸⫘(($1848$⨪↰⇹$6571$)≹⇙⪍($4401$↺$1279$)*($1556$∲⫓$5064$)∼(↔$1316$))","expression":"(≤/(⪎⋱⫍C29⪄⪎⋱⫍30B3⨵⪆(⇁⨣⪵⪎⋱⫍1664)))⨐⩸⫘((⪎⋱⫍AC2⨪↰⇹⪎⋱⫍2CB6)≹⇙⪍(⪎⋱⫍2007↺⪎⋱⫍775)*(⪎⋱⫍929∲⫓⪎⋱⫍23C7)∼(↔⪎⋱⫍7A3))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1963,"operation_count":12,"complexity_ratio":163.58333333333334,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2063,"base":13},"right_expr":{"type":"numeric_atoms","value":6737,"base":13}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":3293,"base":13}}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1848,"base":13},"right_expr":{"type":"numeric_atoms","value":6571,"base":13}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":4401,"base":13},"right_expr":{"type":"numeric_atoms","value":1279,"base":13}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1556,"base":13},"right_expr":{"type":"numeric_atoms","value":5064,"base":13}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":1316,"base":13}}}}},"used_operators":["fu6greOZ01","eLAdDNolq6","2DQ55sFlQl","SUmda5xLS4","inkyxCbjAn","9HNa5Wba9A","AHs5Up7iyr","tmPS8pqC7x","7j4O788W3g","DyGG3AbaNP","i8ToyICDmI","ruOEQAzv1W"],"dependent_operators":["3ViojmjbAp","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","B5M0gjZbta","W4YGzv6Whe","dWAJyo7jo9","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2063","layer":4},{"info":"number node, value=6737","layer":4},{"info":"compute binary expreesion, left_input=2063, right_input=6737, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-328361","layer":3},{"info":"number node, value=3293","layer":4},{"info":"compute unary expreesion, input=3293, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-328361, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"compute unary expreesion, input=160, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=324","layer":1},{"info":"number node, value=1848","layer":4},{"info":"number node, value=6571","layer":4},{"info":"compute binary expreesion, left_input=1848, right_input=6571, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1848","layer":3},{"info":"number node, value=4401","layer":4},{"info":"number node, value=1279","layer":4},{"info":"compute binary expreesion, left_input=4401, right_input=1279, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1279","layer":3},{"info":"compute binary expreesion, left_input=1848, right_input=1279, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=1556","layer":4},{"info":"number node, value=5064","layer":4},{"info":"compute binary expreesion, left_input=1556, right_input=5064, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=1316","layer":4},{"info":"compute unary expreesion, input=1316, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-1043","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-1043, 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 = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=324, 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":13,"result_base":13,"text":"(≤/(⪎⋱⫍C29⪄⪎⋱⫍30B3⨵⪆(⇁⨣⪵⪎⋱⫍1664)))⨐⩸⫘((⪎⋱⫍AC2⨪↰⇹⪎⋱⫍2CB6)≹⇙⪍(⪎⋱⫍2007↺⪎⋱⫍775)*(⪎⋱⫍929∲⫓⪎⋱⫍23C7)∼(↔⪎⋱⫍7A3))=NaN","reverse_text":"NaN=(≤/(⪎⋱⫍C29⪄⪎⋱⫍30B3⨵⪆(⇁⨣⪵⪎⋱⫍1664)))⨐⩸⫘((⪎⋱⫍AC2⨪↰⇹⪎⋱⫍2CB6)≹⇙⪍(⪎⋱⫍2007↺⪎⋱⫍775)*(⪎⋱⫍929∲⫓⪎⋱⫍23C7)∼(↔⪎⋱⫍7A3))","cot":[{"info":"⪎⋱⫍C29⪄⪎⋱⫍30B3=⪎⋱⫍-B65C7","layer":3},{"info":"⇁⨣⪵⪎⋱⫍1664=NaN","layer":3},{"info":"⪎⋱⫍-B65C7⨵⪆NaN=⪎⋱⫍C4","layer":2},{"info":"≤/⪎⋱⫍C4=⪎⋱⫍1BC","layer":1},{"info":"⪎⋱⫍AC2⨪↰⇹⪎⋱⫍2CB6=⪎⋱⫍AC2","layer":3},{"info":"⪎⋱⫍2007↺⪎⋱⫍775=⪎⋱⫍775","layer":3},{"info":"⪎⋱⫍AC2≹⇙⪍⪎⋱⫍775=NaN","layer":2},{"info":"⪎⋱⫍929∲⫓⪎⋱⫍23C7=⪎⋱⫍0","layer":3},{"info":"↔⪎⋱⫍7A3=⪎⋱⫍-623","layer":3},{"info":"⪎⋱⫍0∼⪎⋱⫍-623=NaN","layer":2},{"info":"NaN*NaN=NaN","layer":1},{"info":"⪎⋱⫍1BC⨐⩸⫘NaN=NaN","layer":0}]}
{"id":832,"expression_no_base_symbol":"(($6976$⨳⩥⨓$3054$)≹⇙⪍(↔$3987$)⊪)⩚⊴⇥(($1912$⫡⨏$1459$)⋥≓≎$3397$∑⇟⊟$4393$⇼⇔∾(($1186$%$2370$)⊘))","expression":"((⪎⋱⫍3238⨳⩥⨓⪎⋱⫍150C)≹⇙⪍(↔⪎⋱⫍1A79)⊪)⩚⊴⇥((⪎⋱⫍B41⫡⨏⪎⋱⫍883)⋥≓≎⪎⋱⫍1714∑⇟⊟⪎⋱⫍1CCC⇼⇔∾((⪎⋱⫍703%⪎⋱⫍1104)⊘))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":61,"operation_count":11,"complexity_ratio":5.545454545454546,"tree":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":6976,"base":13},"right_expr":{"type":"numeric_atoms","value":3054,"base":13}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":3987,"base":13}}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1912,"base":13},"right_expr":{"type":"numeric_atoms","value":1459,"base":13}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":3397,"base":13},"right_expr":{"type":"numeric_atoms","value":4393,"base":13}}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1186,"base":13},"right_expr":{"type":"numeric_atoms","value":2370,"base":13}}}}},"used_operators":["NTOWxs364D","zVYPLywUTj","AHs5Up7iyr","nCS4ZIUYfx","ruOEQAzv1W","tifHPKVTfV","Qy55tPpLXF","QMFrweE19q","U7g4x0WXJJ","gu96TGCTMs","k8jYdgA6NY"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","dWAJyo7jo9","W4YGzv6Whe","rysDP5nf3Z","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=6976","layer":4},{"info":"number node, value=3054","layer":4},{"info":"compute binary expreesion, left_input=6976, right_input=3054, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-3922","layer":3},{"info":"number node, value=3987","layer":4},{"info":"compute unary expreesion, input=3987, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-3714","layer":3},{"info":"compute binary expreesion, left_input=-3922, right_input=-3714, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=1912","layer":4},{"info":"number node, value=1459","layer":4},{"info":"compute binary expreesion, left_input=1912, right_input=1459, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=13261","layer":3},{"info":"number node, value=3397","layer":4},{"info":"number node, value=4393","layer":4},{"info":"compute binary expreesion, left_input=3397, right_input=4393, 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=13261, right_input=nan, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=nan","layer":2},{"info":"number node, value=1186","layer":4},{"info":"number node, value=2370","layer":4},{"info":"compute binary expreesion, left_input=1186, right_input=2370, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1186","layer":3},{"info":"compute unary expreesion, input=1186, 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=nan, right_input=0, 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":13,"result_base":13,"text":"((⪎⋱⫍3238⨳⩥⨓⪎⋱⫍150C)≹⇙⪍(↔⪎⋱⫍1A79)⊪)⩚⊴⇥((⪎⋱⫍B41⫡⨏⪎⋱⫍883)⋥≓≎⪎⋱⫍1714∑⇟⊟⪎⋱⫍1CCC⇼⇔∾((⪎⋱⫍703%⪎⋱⫍1104)⊘))=NaN","reverse_text":"NaN=((⪎⋱⫍3238⨳⩥⨓⪎⋱⫍150C)≹⇙⪍(↔⪎⋱⫍1A79)⊪)⩚⊴⇥((⪎⋱⫍B41⫡⨏⪎⋱⫍883)⋥≓≎⪎⋱⫍1714∑⇟⊟⪎⋱⫍1CCC⇼⇔∾((⪎⋱⫍703%⪎⋱⫍1104)⊘))","cot":[{"info":"⪎⋱⫍3238⨳⩥⨓⪎⋱⫍150C=⪎⋱⫍-1A29","layer":3},{"info":"↔⪎⋱⫍1A79=⪎⋱⫍-18C9","layer":3},{"info":"⪎⋱⫍-1A29≹⇙⪍⪎⋱⫍-18C9=NaN","layer":2},{"info":"NaN⊪=NaN","layer":1},{"info":"⪎⋱⫍B41⫡⨏⪎⋱⫍883=⪎⋱⫍6061","layer":3},{"info":"⪎⋱⫍1714∑⇟⊟⪎⋱⫍1CCC=NaN","layer":3},{"info":"⪎⋱⫍6061⋥≓≎NaN=NaN","layer":2},{"info":"⪎⋱⫍703%⪎⋱⫍1104=⪎⋱⫍703","layer":3},{"info":"⪎⋱⫍703⊘=⪎⋱⫍0","layer":2},{"info":"NaN⇼⇔∾⪎⋱⫍0=NaN","layer":1},{"info":"NaN⩚⊴⇥NaN=NaN","layer":0}]}
{"id":833,"expression_no_base_symbol":"⫓⪴($2614$⋳⪒$5976$*($4299$⊉≛↸$1549$)≋⫹)","expression":"⫓⪴(⪎⋱⫍1261⋳⪒⪎⋱⫍2949*(⪎⋱⫍1C59⊉≛↸⪎⋱⫍922)≋⫹)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":17798907,"operation_count":5,"complexity_ratio":3559781.4,"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":2614,"base":13},"right_expr":{"type":"numeric_atoms","value":5976,"base":13}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":4299,"base":13},"right_expr":{"type":"numeric_atoms","value":1549,"base":13}}}}},"used_operators":["eLxqMNBOBk","N41Kp7NANJ","9HNa5Wba9A","12rbrZMWeM","DZ8iAZOCBD"],"dependent_operators":["9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"Inf","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2614","layer":4},{"info":"number node, value=5976","layer":4},{"info":"compute binary expreesion, left_input=2614, right_input=5976, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-1035","layer":3},{"info":"number node, value=4299","layer":4},{"info":"number node, value=1549","layer":4},{"info":"compute binary expreesion, left_input=4299, right_input=1549, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=8598","layer":3},{"info":"compute binary expreesion, left_input=-1035, right_input=8598, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-8898930","layer":2},{"info":"compute unary expreesion, input=-8898930, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=17797860","layer":1},{"info":"compute unary expreesion, input=17797860, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=inf","layer":0}],"base":13,"result_base":13,"text":"⫓⪴(⪎⋱⫍1261⋳⪒⪎⋱⫍2949*(⪎⋱⫍1C59⊉≛↸⪎⋱⫍922)≋⫹)=Inf","reverse_text":"Inf=⫓⪴(⪎⋱⫍1261⋳⪒⪎⋱⫍2949*(⪎⋱⫍1C59⊉≛↸⪎⋱⫍922)≋⫹)","cot":[{"info":"⪎⋱⫍1261⋳⪒⪎⋱⫍2949=⪎⋱⫍-618","layer":3},{"info":"⪎⋱⫍1C59⊉≛↸⪎⋱⫍922=⪎⋱⫍3BB5","layer":3},{"info":"⪎⋱⫍-618*⪎⋱⫍3BB5=⪎⋱⫍-1AC7651","layer":2},{"info":"⪎⋱⫍-1AC7651≋⫹=⪎⋱⫍38C1CA2","layer":1},{"info":"⫓⪴⪎⋱⫍38C1CA2=Inf","layer":0}]}
{"id":834,"expression_no_base_symbol":"(⋗⩬⋾(≦∁$2000$)≎⊠⪸($4138$⪄$4840$))⇷($1650$≧⫂∧$1073$⩷∴($4281$⫸⊐$6616$)⫸⊐(↩$1481$)↬($1173$⨰$2519$))","expression":"(⋗⩬⋾(≦∁⪎⋱⫍BAB)≎⊠⪸(⪎⋱⫍1B64⪄⪎⋱⫍2284))⇷(⪎⋱⫍99C≧⫂∧⪎⋱⫍647⩷∴(⪎⋱⫍1C44⫸⊐⪎⋱⫍301C)⫸⊐(↩⪎⋱⫍89C)↬(⪎⋱⫍6C3⨰⪎⋱⫍11BA))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":2988,"operation_count":12,"complexity_ratio":249.0,"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":2000,"base":13}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":4138,"base":13},"right_expr":{"type":"numeric_atoms","value":4840,"base":13}}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1650,"base":13},"right_expr":{"type":"numeric_atoms","value":1073,"base":13}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":4281,"base":13},"right_expr":{"type":"numeric_atoms","value":6616,"base":13}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":1481,"base":13}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1173,"base":13},"right_expr":{"type":"numeric_atoms","value":2519,"base":13}}}}},"used_operators":["mp7IySMOzn","DpFCA1CohY","bJkvcejdHO","9ICcGScMcE","SUmda5xLS4","mqXw5SEYmG","9FxExcQeMw","Ph9nP6C5qx","B5M0gjZbta","jLgFTUHLKL","eewbuw0ToL"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍B5C","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2000","layer":4},{"info":"compute unary expreesion, input=2000, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=2000","layer":3},{"info":"number node, value=4138","layer":4},{"info":"number node, value=4840","layer":4},{"info":"compute binary expreesion, left_input=4138, right_input=4840, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-627873","layer":3},{"info":"compute binary expreesion, left_input=2000, right_input=-627873, 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 = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-201","layer":1},{"info":"number node, value=1650","layer":4},{"info":"number node, value=1073","layer":4},{"info":"compute binary expreesion, left_input=1650, right_input=1073, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=600","layer":3},{"info":"number node, value=4281","layer":4},{"info":"number node, value=6616","layer":4},{"info":"compute binary expreesion, left_input=4281, right_input=6616, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=26339","layer":3},{"info":"compute binary expreesion, left_input=600, right_input=26339, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-51510","layer":2},{"info":"number node, value=1481","layer":4},{"info":"compute unary expreesion, input=1481, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-9068","layer":3},{"info":"number node, value=1173","layer":4},{"info":"number node, value=2519","layer":4},{"info":"compute binary expreesion, left_input=1173, right_input=2519, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-1336","layer":3},{"info":"compute binary expreesion, left_input=-9068, right_input=-1336, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=-51510, right_input=nan, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=968","layer":1},{"info":"compute binary expreesion, left_input=-201, right_input=968, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=1936","layer":0}],"base":13,"result_base":13,"text":"(⋗⩬⋾(≦∁⪎⋱⫍BAB)≎⊠⪸(⪎⋱⫍1B64⪄⪎⋱⫍2284))⇷(⪎⋱⫍99C≧⫂∧⪎⋱⫍647⩷∴(⪎⋱⫍1C44⫸⊐⪎⋱⫍301C)⫸⊐(↩⪎⋱⫍89C)↬(⪎⋱⫍6C3⨰⪎⋱⫍11BA))=⪎⋱⫍B5C","reverse_text":"⪎⋱⫍B5C=(⋗⩬⋾(≦∁⪎⋱⫍BAB)≎⊠⪸(⪎⋱⫍1B64⪄⪎⋱⫍2284))⇷(⪎⋱⫍99C≧⫂∧⪎⋱⫍647⩷∴(⪎⋱⫍1C44⫸⊐⪎⋱⫍301C)⫸⊐(↩⪎⋱⫍89C)↬(⪎⋱⫍6C3⨰⪎⋱⫍11BA))","cot":[{"info":"≦∁⪎⋱⫍BAB=⪎⋱⫍BAB","layer":3},{"info":"⪎⋱⫍1B64⪄⪎⋱⫍2284=⪎⋱⫍-18CA2C","layer":3},{"info":"⪎⋱⫍BAB≎⊠⪸⪎⋱⫍-18CA2C=⪎⋱⫍52","layer":2},{"info":"⋗⩬⋾⪎⋱⫍52=⪎⋱⫍-126","layer":1},{"info":"⪎⋱⫍99C≧⫂∧⪎⋱⫍647=⪎⋱⫍372","layer":3},{"info":"⪎⋱⫍1C44⫸⊐⪎⋱⫍301C=⪎⋱⫍BCB1","layer":3},{"info":"⪎⋱⫍372⩷∴⪎⋱⫍BCB1=⪎⋱⫍-1A5A4","layer":2},{"info":"↩⪎⋱⫍89C=⪎⋱⫍-4187","layer":3},{"info":"⪎⋱⫍6C3⨰⪎⋱⫍11BA=⪎⋱⫍-7BA","layer":3},{"info":"⪎⋱⫍-4187↬⪎⋱⫍-7BA=NaN","layer":2},{"info":"⪎⋱⫍-1A5A4⫸⊐NaN=⪎⋱⫍596","layer":1},{"info":"⪎⋱⫍-126⇷⪎⋱⫍596=⪎⋱⫍B5C","layer":0}]}
{"id":835,"expression_no_base_symbol":"⊙↵-(($2821$≧⫂∧$6187$⫩⊇)+(≉(≦∁$3699$)))","expression":"⊙↵-((⪎⋱⫍1390≧⫂∧⪎⋱⫍2A7C⫩⊇)+(≉(≦∁⪎⋱⫍18B7)))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1481,"operation_count":6,"complexity_ratio":246.83333333333334,"tree":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2821,"base":13},"right_expr":{"type":"numeric_atoms","value":6187,"base":13}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":3699,"base":13}}}}},"used_operators":["oWn0xqSxBt","W4YGzv6Whe","BjRHVeLaeN","Ph9nP6C5qx","e1ybzncUwg","9ICcGScMcE"],"dependent_operators":["dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"⪎⋱⫍121","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2821","layer":4},{"info":"number node, value=6187","layer":4},{"info":"compute binary expreesion, left_input=2821, right_input=6187, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=5714","layer":3},{"info":"compute unary expreesion, input=5714, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-5672","layer":2},{"info":"number node, value=3699","layer":4},{"info":"compute unary expreesion, input=3699, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=3699","layer":3},{"info":"compute unary expreesion, input=3699, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=4230","layer":2},{"info":"compute binary expreesion, left_input=-5672, right_input=4230, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-1442","layer":1},{"info":"compute unary expreesion, input=-1442, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=196","layer":0}],"base":13,"result_base":13,"text":"⊙↵-((⪎⋱⫍1390≧⫂∧⪎⋱⫍2A7C⫩⊇)+(≉(≦∁⪎⋱⫍18B7)))=⪎⋱⫍121","reverse_text":"⪎⋱⫍121=⊙↵-((⪎⋱⫍1390≧⫂∧⪎⋱⫍2A7C⫩⊇)+(≉(≦∁⪎⋱⫍18B7)))","cot":[{"info":"⪎⋱⫍1390≧⫂∧⪎⋱⫍2A7C=⪎⋱⫍27A7","layer":3},{"info":"⪎⋱⫍27A7⫩⊇=⪎⋱⫍-2774","layer":2},{"info":"≦∁⪎⋱⫍18B7=⪎⋱⫍18B7","layer":3},{"info":"≉⪎⋱⫍18B7=⪎⋱⫍1C05","layer":2},{"info":"⪎⋱⫍-2774+⪎⋱⫍1C05=⪎⋱⫍-86C","layer":1},{"info":"⊙↵-⪎⋱⫍-86C=⪎⋱⫍121","layer":0}]}
{"id":836,"expression_no_base_symbol":"($7256$*$5721$)⨰($1809$⩨$3349$)%($1391$⋷$1847$)⨸⪁(↯⪼$9323$)⨵⪆(∥⊫($2999$⪠⩆⊳))⪛(⨵≀≌$6492$≭$3198$)","expression":"(⪎⋱⫍33C2*⪎⋱⫍27B1)⨰(⪎⋱⫍A92⩨⪎⋱⫍16A8)%(⪎⋱⫍830⋷⪎⋱⫍AC1)⨸⪁(↯⪼⪎⋱⫍4322)⨵⪆(∥⊫(⪎⋱⫍1499⪠⩆⊳))⪛(⨵≀≌⪎⋱⫍2C55≭⪎⋱⫍15C0)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":14882,"operation_count":13,"complexity_ratio":1144.7692307692307,"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":7256,"base":13},"right_expr":{"type":"numeric_atoms","value":5721,"base":13}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1809,"base":13},"right_expr":{"type":"numeric_atoms","value":3349,"base":13}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1391,"base":13},"right_expr":{"type":"numeric_atoms","value":1847,"base":13}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":9323,"base":13}}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":2999,"base":13}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":6492,"base":13},"right_expr":{"type":"numeric_atoms","value":3198,"base":13}}}}},"used_operators":["2DQ55sFlQl","k8jYdgA6NY","eewbuw0ToL","9HNa5Wba9A","2DlMacCsIx","g55IO6H4Gj","23Mk6UjR3U","8jW3W4yZS5","uFcxV4UQCh","P8v4zCKN1o","JLbD19bQDL","srAu1WTS94","rxpJgHHUmx"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","AHs5Up7iyr"],"result":"⪎⋱⫍C4","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=7256","layer":4},{"info":"number node, value=5721","layer":4},{"info":"compute binary expreesion, left_input=7256, right_input=5721, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=41511576","layer":3},{"info":"number node, value=1809","layer":4},{"info":"number node, value=3349","layer":4},{"info":"compute binary expreesion, left_input=1809, right_input=3349, 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=41511576, right_input=-3, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=41511589","layer":2},{"info":"number node, value=1391","layer":4},{"info":"number node, value=1847","layer":4},{"info":"compute binary expreesion, left_input=1391, right_input=1847, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=2303","layer":3},{"info":"number node, value=9323","layer":4},{"info":"compute unary expreesion, input=9323, 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=2303, right_input=-21, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=4564","layer":2},{"info":"compute binary expreesion, left_input=41511589, right_input=4564, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2009","layer":1},{"info":"number node, value=2999","layer":4},{"info":"compute unary expreesion, input=2999, 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 = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=868","layer":2},{"info":"number node, value=6492","layer":4},{"info":"number node, value=3198","layer":4},{"info":"compute binary expreesion, left_input=6492, right_input=3198, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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 binary expreesion, left_input=868, 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=2009, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍33C2*⪎⋱⫍27B1)⨰(⪎⋱⫍A92⩨⪎⋱⫍16A8)%(⪎⋱⫍830⋷⪎⋱⫍AC1)⨸⪁(↯⪼⪎⋱⫍4322)⨵⪆(∥⊫(⪎⋱⫍1499⪠⩆⊳))⪛(⨵≀≌⪎⋱⫍2C55≭⪎⋱⫍15C0)=⪎⋱⫍C4","reverse_text":"⪎⋱⫍C4=(⪎⋱⫍33C2*⪎⋱⫍27B1)⨰(⪎⋱⫍A92⩨⪎⋱⫍16A8)%(⪎⋱⫍830⋷⪎⋱⫍AC1)⨸⪁(↯⪼⪎⋱⫍4322)⨵⪆(∥⊫(⪎⋱⫍1499⪠⩆⊳))⪛(⨵≀≌⪎⋱⫍2C55≭⪎⋱⫍15C0)","cot":[{"info":"⪎⋱⫍33C2*⪎⋱⫍27B1=⪎⋱⫍87A5882","layer":3},{"info":"⪎⋱⫍A92⩨⪎⋱⫍16A8=⪎⋱⫍-3","layer":3},{"info":"⪎⋱⫍87A5882⨰⪎⋱⫍-3=⪎⋱⫍87A5892","layer":2},{"info":"⪎⋱⫍830⋷⪎⋱⫍AC1=⪎⋱⫍1082","layer":3},{"info":"↯⪼⪎⋱⫍4322=⪎⋱⫍-18","layer":3},{"info":"⪎⋱⫍1082⨸⪁⪎⋱⫍-18=⪎⋱⫍2101","layer":2},{"info":"⪎⋱⫍87A5892%⪎⋱⫍2101=⪎⋱⫍BB7","layer":1},{"info":"⪎⋱⫍1499⪠⩆⊳=⪎⋱⫍0","layer":3},{"info":"∥⊫⪎⋱⫍0=⪎⋱⫍51A","layer":2},{"info":"⪎⋱⫍2C55≭⪎⋱⫍15C0=NaN","layer":3},{"info":"⨵≀≌NaN=NaN","layer":2},{"info":"⪎⋱⫍51A⪛NaN=NaN","layer":1},{"info":"⪎⋱⫍BB7⨵⪆NaN=⪎⋱⫍C4","layer":0}]}
{"id":837,"expression_no_base_symbol":"(($4709$⪄$3840$)⋝⋈⪟$2531$⇷$2937$⋥≓≎(↩$5677$)⨽$1887$∀⇚≩$3387$)⩷∴(($2697$⨓$6054$)⨟⋌⩍($4867$⩷∴$2069$)≧⫂∧((∥⊫$1433$)∲⫓$6548$⨟⋌⩍$9132$))","expression":"((⪎⋱⫍21B3⪄⪎⋱⫍1995)⋝⋈⪟⪎⋱⫍11C9⇷⪎⋱⫍144C⋥≓≎(↩⪎⋱⫍2779)⨽⪎⋱⫍B22∀⇚≩⪎⋱⫍1707)⩷∴((⪎⋱⫍12C6⨓⪎⋱⫍29A9)⨟⋌⩍(⪎⋱⫍22A5⩷∴⪎⋱⫍C32)≧⫂∧((∥⊫⪎⋱⫍863)∲⫓⪎⋱⫍2C99⨟⋌⩍⪎⋱⫍4206))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":97491,"operation_count":15,"complexity_ratio":6499.4,"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":4709,"base":13},"right_expr":{"type":"numeric_atoms","value":3840,"base":13}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2531,"base":13},"right_expr":{"type":"numeric_atoms","value":2937,"base":13}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":5677,"base":13}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1887,"base":13},"right_expr":{"type":"numeric_atoms","value":3387,"base":13}}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2697,"base":13},"right_expr":{"type":"numeric_atoms","value":6054,"base":13}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":4867,"base":13},"right_expr":{"type":"numeric_atoms","value":2069,"base":13}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":1433,"base":13}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":6548,"base":13},"right_expr":{"type":"numeric_atoms","value":9132,"base":13}}}}},"used_operators":["9FxExcQeMw","Qy55tPpLXF","2DDjHMKMc0","SUmda5xLS4","mp7IySMOzn","8HhzD0ZcuI","jLgFTUHLKL","LRNGc0VcxI","Ph9nP6C5qx","rGHVDoGpnC","3ViojmjbAp","i8ToyICDmI","P8v4zCKN1o"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4709","layer":4},{"info":"number node, value=3840","layer":4},{"info":"compute binary expreesion, left_input=4709, right_input=3840, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-708381","layer":3},{"info":"number node, value=2531","layer":4},{"info":"number node, value=2937","layer":4},{"info":"compute binary expreesion, left_input=2531, right_input=2937, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=5874","layer":3},{"info":"compute binary expreesion, left_input=-708381, right_input=5874, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-708381","layer":2},{"info":"number node, value=5677","layer":4},{"info":"compute unary expreesion, input=5677, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-42636","layer":3},{"info":"number node, value=1887","layer":4},{"info":"number node, value=3387","layer":4},{"info":"compute binary expreesion, left_input=1887, right_input=3387, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=-42636, 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=-708381, right_input=nan, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":1},{"info":"number node, value=2697","layer":4},{"info":"number node, value=6054","layer":4},{"info":"compute binary expreesion, left_input=2697, right_input=6054, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-6057","layer":3},{"info":"number node, value=4867","layer":4},{"info":"number node, value=2069","layer":4},{"info":"compute binary expreesion, left_input=4867, right_input=2069, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=5564","layer":3},{"info":"compute binary expreesion, left_input=-6057, right_input=5564, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=1433","layer":4},{"info":"compute unary expreesion, input=1433, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2301","layer":3},{"info":"number node, value=6548","layer":4},{"info":"number node, value=9132","layer":4},{"info":"compute binary expreesion, left_input=6548, right_input=9132, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=2301, 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 = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍21B3⪄⪎⋱⫍1995)⋝⋈⪟⪎⋱⫍11C9⇷⪎⋱⫍144C⋥≓≎(↩⪎⋱⫍2779)⨽⪎⋱⫍B22∀⇚≩⪎⋱⫍1707)⩷∴((⪎⋱⫍12C6⨓⪎⋱⫍29A9)⨟⋌⩍(⪎⋱⫍22A5⩷∴⪎⋱⫍C32)≧⫂∧((∥⊫⪎⋱⫍863)∲⫓⪎⋱⫍2C99⨟⋌⩍⪎⋱⫍4206))=NaN","reverse_text":"NaN=((⪎⋱⫍21B3⪄⪎⋱⫍1995)⋝⋈⪟⪎⋱⫍11C9⇷⪎⋱⫍144C⋥≓≎(↩⪎⋱⫍2779)⨽⪎⋱⫍B22∀⇚≩⪎⋱⫍1707)⩷∴((⪎⋱⫍12C6⨓⪎⋱⫍29A9)⨟⋌⩍(⪎⋱⫍22A5⩷∴⪎⋱⫍C32)≧⫂∧((∥⊫⪎⋱⫍863)∲⫓⪎⋱⫍2C99⨟⋌⩍⪎⋱⫍4206))","cot":[{"info":"⪎⋱⫍21B3⪄⪎⋱⫍1995=⪎⋱⫍-1BA57B","layer":3},{"info":"⪎⋱⫍11C9⇷⪎⋱⫍144C=⪎⋱⫍289B","layer":3},{"info":"⪎⋱⫍-1BA57B⋝⋈⪟⪎⋱⫍289B=⪎⋱⫍-1BA57B","layer":2},{"info":"↩⪎⋱⫍2779=⪎⋱⫍-16539","layer":3},{"info":"⪎⋱⫍B22∀⇚≩⪎⋱⫍1707=NaN","layer":3},{"info":"⪎⋱⫍-16539⨽NaN=NaN","layer":2},{"info":"⪎⋱⫍-1BA57B⋥≓≎NaN=⪎⋱⫍52","layer":1},{"info":"⪎⋱⫍12C6⨓⪎⋱⫍29A9=⪎⋱⫍-29AC","layer":3},{"info":"⪎⋱⫍22A5⩷∴⪎⋱⫍C32=⪎⋱⫍26C0","layer":3},{"info":"⪎⋱⫍-29AC⨟⋌⩍⪎⋱⫍26C0=NaN","layer":2},{"info":"∥⊫⪎⋱⫍863=⪎⋱⫍1080","layer":3},{"info":"⪎⋱⫍2C99⨟⋌⩍⪎⋱⫍4206=NaN","layer":3},{"info":"⪎⋱⫍1080∲⫓NaN=NaN","layer":2},{"info":"NaN≧⫂∧NaN=NaN","layer":1},{"info":"⪎⋱⫍52⩷∴NaN=NaN","layer":0}]}
{"id":838,"expression_no_base_symbol":"((↽≂$4367$+⇶⊼$4535$)⩨(($6021$⇼⇔∾$2546$)⇋≉))⊴(($1087$⇷$1777$⪒$4744$⨐⩸⫘$2480$)∑⇟⊟($1177$⪒$3862$/$2791$↬$3631$))","expression":"((↽≂⪎⋱⫍1CAC+⇶⊼⪎⋱⫍20AB)⩨((⪎⋱⫍2982⇼⇔∾⪎⋱⫍120B)⇋≉))⊴((⪎⋱⫍658⇷⪎⋱⫍A69⪒⪎⋱⫍220C⨐⩸⫘⪎⋱⫍118A)∑⇟⊟(⪎⋱⫍6C7⪒⪎⋱⫍19B1/⪎⋱⫍1369↬⪎⋱⫍1864))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":15254,"operation_count":13,"complexity_ratio":1173.3846153846155,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":4367,"base":13},"right_expr":{"type":"numeric_atoms","value":4535,"base":13}}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":6021,"base":13},"right_expr":{"type":"numeric_atoms","value":2546,"base":13}}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1087,"base":13},"right_expr":{"type":"numeric_atoms","value":1777,"base":13}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":4744,"base":13},"right_expr":{"type":"numeric_atoms","value":2480,"base":13}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1177,"base":13},"right_expr":{"type":"numeric_atoms","value":3862,"base":13}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2791,"base":13},"right_expr":{"type":"numeric_atoms","value":3631,"base":13}}}}},"used_operators":["Nsiff2A1zJ","2DlMacCsIx","u6S6b8DprG","TpPTUOHfaN","XIabStNQrY","tifHPKVTfV","U7g4x0WXJJ","f6k1SAg4EE","mp7IySMOzn","fu6greOZ01","XhwjNDsVaA","B5M0gjZbta"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","3ViojmjbAp","rysDP5nf3Z","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4367","layer":4},{"info":"number node, value=4535","layer":4},{"info":"compute binary expreesion, left_input=4367, right_input=4535, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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":"number node, value=6021","layer":4},{"info":"number node, value=2546","layer":4},{"info":"compute binary expreesion, left_input=6021, right_input=2546, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-3475","layer":3},{"info":"compute unary expreesion, input=-3475, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=-7048","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-7048, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":1},{"info":"number node, value=1087","layer":4},{"info":"number node, value=1777","layer":4},{"info":"compute binary expreesion, left_input=1087, right_input=1777, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3554","layer":3},{"info":"number node, value=4744","layer":4},{"info":"number node, value=2480","layer":4},{"info":"compute binary expreesion, left_input=4744, right_input=2480, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=3554, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":2},{"info":"number node, value=1177","layer":4},{"info":"number node, value=3862","layer":4},{"info":"compute binary expreesion, left_input=1177, right_input=3862, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5039","layer":3},{"info":"number node, value=2791","layer":4},{"info":"number node, value=3631","layer":4},{"info":"compute binary expreesion, left_input=2791, right_input=3631, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=-5039, 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 binary expreesion, left_input=nan, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((↽≂⪎⋱⫍1CAC+⇶⊼⪎⋱⫍20AB)⩨((⪎⋱⫍2982⇼⇔∾⪎⋱⫍120B)⇋≉))⊴((⪎⋱⫍658⇷⪎⋱⫍A69⪒⪎⋱⫍220C⨐⩸⫘⪎⋱⫍118A)∑⇟⊟(⪎⋱⫍6C7⪒⪎⋱⫍19B1/⪎⋱⫍1369↬⪎⋱⫍1864))=NaN","reverse_text":"NaN=((↽≂⪎⋱⫍1CAC+⇶⊼⪎⋱⫍20AB)⩨((⪎⋱⫍2982⇼⇔∾⪎⋱⫍120B)⇋≉))⊴((⪎⋱⫍658⇷⪎⋱⫍A69⪒⪎⋱⫍220C⨐⩸⫘⪎⋱⫍118A)∑⇟⊟(⪎⋱⫍6C7⪒⪎⋱⫍19B1/⪎⋱⫍1369↬⪎⋱⫍1864))","cot":[{"info":"⪎⋱⫍1CAC+⇶⊼⪎⋱⫍20AB=NaN","layer":3},{"info":"↽≂NaN=NaN","layer":2},{"info":"⪎⋱⫍2982⇼⇔∾⪎⋱⫍120B=⪎⋱⫍-1774","layer":3},{"info":"⪎⋱⫍-1774⇋≉=⪎⋱⫍-3292","layer":2},{"info":"NaN⩨⪎⋱⫍-3292=NaN","layer":1},{"info":"⪎⋱⫍658⇷⪎⋱⫍A69=⪎⋱⫍1805","layer":3},{"info":"⪎⋱⫍220C⨐⩸⫘⪎⋱⫍118A=NaN","layer":3},{"info":"⪎⋱⫍1805⪒NaN=NaN","layer":2},{"info":"⪎⋱⫍6C7⪒⪎⋱⫍19B1=⪎⋱⫍-23A8","layer":3},{"info":"⪎⋱⫍1369↬⪎⋱⫍1864=NaN","layer":3},{"info":"⪎⋱⫍-23A8/NaN=NaN","layer":2},{"info":"NaN∑⇟⊟NaN=NaN","layer":1},{"info":"NaN⊴NaN=NaN","layer":0}]}
{"id":839,"expression_no_base_symbol":"(⇁⨣⪵(↽≂$4557$≭$6490$))⫸⊐(∥⊫($4474$⇼⇔∾$3540$⩨(⫓⪴$4575$)))","expression":"(⇁⨣⪵(↽≂⪎⋱⫍20C7≭⪎⋱⫍2C53))⫸⊐(∥⊫(⪎⋱⫍2062⇼⇔∾⪎⋱⫍17C4⩨(⫓⪴⪎⋱⫍210C)))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":27002,"operation_count":8,"complexity_ratio":3375.25,"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":4557,"base":13},"right_expr":{"type":"numeric_atoms","value":6490,"base":13}}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":4474,"base":13},"right_expr":{"type":"numeric_atoms","value":3540,"base":13}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":4575,"base":13}}}}},"used_operators":["mqXw5SEYmG","inkyxCbjAn","u6S6b8DprG","rxpJgHHUmx","P8v4zCKN1o","2DlMacCsIx","tifHPKVTfV","eLxqMNBOBk"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","B5M0gjZbta","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4557","layer":4},{"info":"number node, value=6490","layer":4},{"info":"compute binary expreesion, left_input=4557, right_input=6490, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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 unary expreesion, input=nan, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":1},{"info":"number node, value=4474","layer":4},{"info":"number node, value=3540","layer":4},{"info":"compute binary expreesion, left_input=4474, right_input=3540, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-934","layer":3},{"info":"number node, value=4575","layer":4},{"info":"compute unary expreesion, input=4575, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=20930625","layer":3},{"info":"compute binary expreesion, left_input=-934, right_input=20930625, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=67230","layer":2},{"info":"compute unary expreesion, input=67230, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=68098","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=68098, 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":13,"result_base":13,"text":"(⇁⨣⪵(↽≂⪎⋱⫍20C7≭⪎⋱⫍2C53))⫸⊐(∥⊫(⪎⋱⫍2062⇼⇔∾⪎⋱⫍17C4⩨(⫓⪴⪎⋱⫍210C)))=NaN","reverse_text":"NaN=(⇁⨣⪵(↽≂⪎⋱⫍20C7≭⪎⋱⫍2C53))⫸⊐(∥⊫(⪎⋱⫍2062⇼⇔∾⪎⋱⫍17C4⩨(⫓⪴⪎⋱⫍210C)))","cot":[{"info":"⪎⋱⫍20C7≭⪎⋱⫍2C53=NaN","layer":3},{"info":"↽≂NaN=NaN","layer":2},{"info":"⇁⨣⪵NaN=NaN","layer":1},{"info":"⪎⋱⫍2062⇼⇔∾⪎⋱⫍17C4=⪎⋱⫍-56B","layer":3},{"info":"⫓⪴⪎⋱⫍210C=⪎⋱⫍444ABB1","layer":3},{"info":"⪎⋱⫍-56B⩨⪎⋱⫍444ABB1=⪎⋱⫍247A7","layer":2},{"info":"∥⊫⪎⋱⫍247A7=⪎⋱⫍24CC4","layer":1},{"info":"NaN⫸⊐⪎⋱⫍24CC4=NaN","layer":0}]}
{"id":840,"expression_no_base_symbol":"≦∁(↣≠⋷((∥⊫$4326$)⊭∹↮))","expression":"≦∁(↣≠⋷((∥⊫⪎⋱⫍1C7A)⊭∹↮))","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":14,"operation_count":4,"complexity_ratio":3.5,"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":4326,"base":13}}}}},"used_operators":["9ICcGScMcE","Asc51vEJeQ","xNBdhnnwKq","P8v4zCKN1o"],"dependent_operators":["XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","XhwjNDsVaA","AHs5Up7iyr","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=4326","layer":4},{"info":"compute unary expreesion, input=4326, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=5194","layer":3},{"info":"compute unary expreesion, input=5194, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=10388","layer":2},{"info":"compute unary expreesion, input=10388, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷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":13,"result_base":13,"text":"≦∁(↣≠⋷((∥⊫⪎⋱⫍1C7A)⊭∹↮))=NaN","reverse_text":"NaN=≦∁(↣≠⋷((∥⊫⪎⋱⫍1C7A)⊭∹↮))","cot":[{"info":"∥⊫⪎⋱⫍1C7A=⪎⋱⫍2497","layer":3},{"info":"⪎⋱⫍2497⊭∹↮=⪎⋱⫍4961","layer":2},{"info":"↣≠⋷⪎⋱⫍4961=NaN","layer":1},{"info":"≦∁NaN=NaN","layer":0}]}
{"id":841,"expression_no_base_symbol":"(($4564$⩠)∀⇚≩($6372$⇼⇔∾$1662$)%($1212$⫡⨏$3304$)⊴(+⊝⨔$3205$))⊭↱($2125$⋳⪒$6295$⨽$6077$⨽$5732$)≹⇙⪍($1205$⪘⫢$5388$⪄($1817$↛⩡⫤))","expression":"((⪎⋱⫍2101⩠)∀⇚≩(⪎⋱⫍2B92⇼⇔∾⪎⋱⫍9AB)%(⪎⋱⫍723⫡⨏⪎⋱⫍1672)⊴(+⊝⨔⪎⋱⫍15C7))⊭↱(⪎⋱⫍C76⋳⪒⪎⋱⫍2B33⨽⪎⋱⫍29C6⨽⪎⋱⫍27BC)≹⇙⪍(⪎⋱⫍719⪘⫢⪎⋱⫍25B6⪄(⪎⋱⫍A9A↛⩡⫤))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":43995,"operation_count":15,"complexity_ratio":2933.0,"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":4564,"base":13}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":6372,"base":13},"right_expr":{"type":"numeric_atoms","value":1662,"base":13}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1212,"base":13},"right_expr":{"type":"numeric_atoms","value":3304,"base":13}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":3205,"base":13}}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2125,"base":13},"right_expr":{"type":"numeric_atoms","value":6295,"base":13}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":6077,"base":13},"right_expr":{"type":"numeric_atoms","value":5732,"base":13}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1205,"base":13},"right_expr":{"type":"numeric_atoms","value":5388,"base":13}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":1817,"base":13}}}}},"used_operators":["COABgblf1C","k8jYdgA6NY","LRNGc0VcxI","sJAwomhLZr","tifHPKVTfV","Nsiff2A1zJ","QMFrweE19q","DhbWaqg5eL","AHs5Up7iyr","8HhzD0ZcuI","12rbrZMWeM","SUmda5xLS4","oacrs7FA3X","FU0Cs4j7VP"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","X99M06cbEe","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","dWAJyo7jo9","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4564","layer":4},{"info":"compute unary expreesion, input=4564, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"number node, value=6372","layer":4},{"info":"number node, value=1662","layer":4},{"info":"compute binary expreesion, left_input=6372, right_input=1662, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-4710","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-4710, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=-4710","layer":2},{"info":"number node, value=1212","layer":4},{"info":"number node, value=3304","layer":4},{"info":"compute binary expreesion, left_input=1212, right_input=3304, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=13451","layer":3},{"info":"number node, value=3205","layer":4},{"info":"compute unary expreesion, input=3205, 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=13451, right_input=1522, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-4710, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=2125","layer":4},{"info":"number node, value=6295","layer":4},{"info":"compute binary expreesion, left_input=2125, right_input=6295, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-2332","layer":3},{"info":"number node, value=6077","layer":4},{"info":"number node, value=5732","layer":4},{"info":"compute binary expreesion, left_input=6077, right_input=5732, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-110805669","layer":3},{"info":"compute binary expreesion, left_input=-2332, right_input=-110805669, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=316103649","layer":2},{"info":"number node, value=1205","layer":4},{"info":"number node, value=5388","layer":4},{"info":"compute binary expreesion, left_input=1205, right_input=5388, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2286","layer":3},{"info":"number node, value=1817","layer":4},{"info":"compute unary expreesion, input=1817, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-270456","layer":3},{"info":"compute binary expreesion, left_input=2286, right_input=-270456, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=747407","layer":2},{"info":"compute binary expreesion, left_input=316103649, right_input=747407, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍2101⩠)∀⇚≩(⪎⋱⫍2B92⇼⇔∾⪎⋱⫍9AB)%(⪎⋱⫍723⫡⨏⪎⋱⫍1672)⊴(+⊝⨔⪎⋱⫍15C7))⊭↱(⪎⋱⫍C76⋳⪒⪎⋱⫍2B33⨽⪎⋱⫍29C6⨽⪎⋱⫍27BC)≹⇙⪍(⪎⋱⫍719⪘⫢⪎⋱⫍25B6⪄(⪎⋱⫍A9A↛⩡⫤))=NaN","reverse_text":"NaN=((⪎⋱⫍2101⩠)∀⇚≩(⪎⋱⫍2B92⇼⇔∾⪎⋱⫍9AB)%(⪎⋱⫍723⫡⨏⪎⋱⫍1672)⊴(+⊝⨔⪎⋱⫍15C7))⊭↱(⪎⋱⫍C76⋳⪒⪎⋱⫍2B33⨽⪎⋱⫍29C6⨽⪎⋱⫍27BC)≹⇙⪍(⪎⋱⫍719⪘⫢⪎⋱⫍25B6⪄(⪎⋱⫍A9A↛⩡⫤))","cot":[{"info":"⪎⋱⫍2101⩠=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍2B92⇼⇔∾⪎⋱⫍9AB=⪎⋱⫍-21B4","layer":3},{"info":"⪎⋱⫍0∀⇚≩⪎⋱⫍-21B4=⪎⋱⫍-21B4","layer":2},{"info":"⪎⋱⫍723⫡⨏⪎⋱⫍1672=⪎⋱⫍6179","layer":3},{"info":"+⊝⨔⪎⋱⫍15C7=⪎⋱⫍901","layer":3},{"info":"⪎⋱⫍6179⊴⪎⋱⫍901=NaN","layer":2},{"info":"⪎⋱⫍-21B4%NaN=NaN","layer":1},{"info":"⪎⋱⫍C76⋳⪒⪎⋱⫍2B33=⪎⋱⫍-10A5","layer":3},{"info":"⪎⋱⫍29C6⨽⪎⋱⫍27BC=⪎⋱⫍-19C57CB0","layer":3},{"info":"⪎⋱⫍-10A5⨽⪎⋱⫍-19C57CB0=⪎⋱⫍506488A4","layer":2},{"info":"⪎⋱⫍719⪘⫢⪎⋱⫍25B6=⪎⋱⫍106B","layer":3},{"info":"⪎⋱⫍A9A↛⩡⫤=⪎⋱⫍-96144","layer":3},{"info":"⪎⋱⫍106B⪄⪎⋱⫍-96144=⪎⋱⫍20226B","layer":2},{"info":"⪎⋱⫍506488A4≹⇙⪍⪎⋱⫍20226B=NaN","layer":1},{"info":"NaN⊭↱NaN=NaN","layer":0}]}
{"id":842,"expression_no_base_symbol":"((≤/($3450$↛⩡⫤))⊘)⊴(⫛⫱⨽(($1807$⫸⊐$4583$)⩚⊴⇥$2650$≧⫂∧$1290$))","expression":"((≤/(⪎⋱⫍1755↛⩡⫤))⊘)⊴(⫛⫱⨽((⪎⋱⫍A90⫸⊐⪎⋱⫍2117)⩚⊴⇥⪎⋱⫍128B≧⫂∧⪎⋱⫍783))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":11961,"operation_count":8,"complexity_ratio":1495.125,"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":3450,"base":13}}}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1807,"base":13},"right_expr":{"type":"numeric_atoms","value":4583,"base":13}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2650,"base":13},"right_expr":{"type":"numeric_atoms","value":1290,"base":13}}}}},"used_operators":["Nsiff2A1zJ","gu96TGCTMs","eLAdDNolq6","FU0Cs4j7VP","DlLNRPXxWL","NTOWxs364D","mqXw5SEYmG","Ph9nP6C5qx"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rysDP5nf3Z","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍-61","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3450","layer":4},{"info":"compute unary expreesion, input=3450, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-517039","layer":3},{"info":"compute unary expreesion, input=-517039, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=517523","layer":2},{"info":"compute unary expreesion, input=517523, 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=1807","layer":4},{"info":"number node, value=4583","layer":4},{"info":"compute binary expreesion, left_input=1807, right_input=4583, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=18207","layer":3},{"info":"number node, value=2650","layer":4},{"info":"number node, value=1290","layer":4},{"info":"compute binary expreesion, left_input=2650, right_input=1290, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=817","layer":3},{"info":"compute binary expreesion, left_input=18207, right_input=817, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-19145","layer":2},{"info":"compute unary expreesion, input=-19145, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=-79","layer":0}],"base":13,"result_base":13,"text":"((≤/(⪎⋱⫍1755↛⩡⫤))⊘)⊴(⫛⫱⨽((⪎⋱⫍A90⫸⊐⪎⋱⫍2117)⩚⊴⇥⪎⋱⫍128B≧⫂∧⪎⋱⫍783))=⪎⋱⫍-61","reverse_text":"⪎⋱⫍-61=((≤/(⪎⋱⫍1755↛⩡⫤))⊘)⊴(⫛⫱⨽((⪎⋱⫍A90⫸⊐⪎⋱⫍2117)⩚⊴⇥⪎⋱⫍128B≧⫂∧⪎⋱⫍783))","cot":[{"info":"⪎⋱⫍1755↛⩡⫤=⪎⋱⫍-151453","layer":3},{"info":"≤/⪎⋱⫍-151453=⪎⋱⫍151736","layer":2},{"info":"⪎⋱⫍151736⊘=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍A90⫸⊐⪎⋱⫍2117=⪎⋱⫍8397","layer":3},{"info":"⪎⋱⫍128B≧⫂∧⪎⋱⫍783=⪎⋱⫍4AB","layer":3},{"info":"⪎⋱⫍8397⩚⊴⇥⪎⋱⫍4AB=⪎⋱⫍-8939","layer":2},{"info":"⫛⫱⨽⪎⋱⫍-8939=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍0⊴⪎⋱⫍0=⪎⋱⫍-61","layer":0}]}
{"id":843,"expression_no_base_symbol":"(⫛⫱⨽($1544$∑⇟⊟$2746$))⨪↰⇹($1965$↬$6554$⊭↱$1836$⨓$2700$)≎⊠⪸((⪲⇎($1154$≋⫹))⊉≛↸(($4432$⨎$4101$)≦≮≮))","expression":"(⫛⫱⨽(⪎⋱⫍91A∑⇟⊟⪎⋱⫍1333))⨪↰⇹(⪎⋱⫍B82↬⪎⋱⫍2CA2⊭↱⪎⋱⫍AB3⨓⪎⋱⫍12C9)≎⊠⪸((⪲⇎(⪎⋱⫍6AA≋⫹))⊉≛↸((⪎⋱⫍202C⨎⪎⋱⫍1B36)≦≮≮))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3652,"operation_count":12,"complexity_ratio":304.3333333333333,"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":1544,"base":13},"right_expr":{"type":"numeric_atoms","value":2746,"base":13}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1965,"base":13},"right_expr":{"type":"numeric_atoms","value":6554,"base":13}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1836,"base":13},"right_expr":{"type":"numeric_atoms","value":2700,"base":13}}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":1154,"base":13}}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":4432,"base":13},"right_expr":{"type":"numeric_atoms","value":4101,"base":13}}}}},"used_operators":["bJkvcejdHO","tmPS8pqC7x","DlLNRPXxWL","U7g4x0WXJJ","COABgblf1C","B5M0gjZbta","3ViojmjbAp","DZ8iAZOCBD","XPYlsWDdGa","N41Kp7NANJ","D4vGDi5EA2","rJVOvQCfKK"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rJVOvQCfKK","rGHVDoGpnC","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1544","layer":4},{"info":"number node, value=2746","layer":4},{"info":"compute binary expreesion, left_input=1544, right_input=2746, 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=1965","layer":4},{"info":"number node, value=6554","layer":4},{"info":"compute binary expreesion, left_input=1965, right_input=6554, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=1836","layer":4},{"info":"number node, value=2700","layer":4},{"info":"compute binary expreesion, left_input=1836, right_input=2700, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2703","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-2703, 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 = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((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=1154","layer":4},{"info":"compute unary expreesion, input=1154, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-2308","layer":3},{"info":"compute unary expreesion, input=-2308, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=-4616","layer":2},{"info":"number node, value=4432","layer":4},{"info":"number node, value=4101","layer":4},{"info":"compute binary expreesion, left_input=4432, right_input=4101, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=4101","layer":3},{"info":"compute unary expreesion, input=4101, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-12303","layer":2},{"info":"compute binary expreesion, left_input=-4616, right_input=-12303, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=12303","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=12303, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⫛⫱⨽(⪎⋱⫍91A∑⇟⊟⪎⋱⫍1333))⨪↰⇹(⪎⋱⫍B82↬⪎⋱⫍2CA2⊭↱⪎⋱⫍AB3⨓⪎⋱⫍12C9)≎⊠⪸((⪲⇎(⪎⋱⫍6AA≋⫹))⊉≛↸((⪎⋱⫍202C⨎⪎⋱⫍1B36)≦≮≮))=NaN","reverse_text":"NaN=(⫛⫱⨽(⪎⋱⫍91A∑⇟⊟⪎⋱⫍1333))⨪↰⇹(⪎⋱⫍B82↬⪎⋱⫍2CA2⊭↱⪎⋱⫍AB3⨓⪎⋱⫍12C9)≎⊠⪸((⪲⇎(⪎⋱⫍6AA≋⫹))⊉≛↸((⪎⋱⫍202C⨎⪎⋱⫍1B36)≦≮≮))","cot":[{"info":"⪎⋱⫍91A∑⇟⊟⪎⋱⫍1333=NaN","layer":3},{"info":"⫛⫱⨽NaN=NaN","layer":2},{"info":"⪎⋱⫍B82↬⪎⋱⫍2CA2=NaN","layer":3},{"info":"⪎⋱⫍AB3⨓⪎⋱⫍12C9=⪎⋱⫍-12CC","layer":3},{"info":"NaN⊭↱⪎⋱⫍-12CC=NaN","layer":2},{"info":"NaN⨪↰⇹NaN=NaN","layer":1},{"info":"⪎⋱⫍6AA≋⫹=⪎⋱⫍-1087","layer":3},{"info":"⪲⇎⪎⋱⫍-1087=⪎⋱⫍-2141","layer":2},{"info":"⪎⋱⫍202C⨎⪎⋱⫍1B36=⪎⋱⫍1B36","layer":3},{"info":"⪎⋱⫍1B36≦≮≮=⪎⋱⫍-57A5","layer":2},{"info":"⪎⋱⫍-2141⊉≛↸⪎⋱⫍-57A5=⪎⋱⫍57A5","layer":1},{"info":"NaN≎⊠⪸⪎⋱⫍57A5=NaN","layer":0}]}
{"id":844,"expression_no_base_symbol":"((⇁⨣⪵($1428$⊭∹↮))⨵⪆(+⊝⨔(⨰⫟⨤$2731$)))∑⇟⊟((⫓⪴($5726$⋝⋈⪟$2206$))⫌⩹⨱)","expression":"((⇁⨣⪵(⪎⋱⫍85B⊭∹↮))⨵⪆(+⊝⨔(⨰⫟⨤⪎⋱⫍1321)))∑⇟⊟((⫓⪴(⪎⋱⫍27B6⋝⋈⪟⪎⋱⫍1009))⫌⩹⨱)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":15849,"operation_count":9,"complexity_ratio":1761.0,"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":1428,"base":13}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":2731,"base":13}}}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":5726,"base":13},"right_expr":{"type":"numeric_atoms","value":2206,"base":13}}}}},"used_operators":["U7g4x0WXJJ","2DQ55sFlQl","inkyxCbjAn","xNBdhnnwKq","DhbWaqg5eL","Tw270M8GLb","EBcxylXtPf","eLxqMNBOBk","2DDjHMKMc0"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","W4YGzv6Whe","rysDP5nf3Z","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1428","layer":4},{"info":"compute unary expreesion, input=1428, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=2856","layer":3},{"info":"compute unary expreesion, input=2856, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"number node, value=2731","layer":4},{"info":"compute unary expreesion, input=2731, 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 = 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 = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=5726","layer":4},{"info":"number node, value=2206","layer":4},{"info":"compute binary expreesion, left_input=5726, right_input=2206, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=5726","layer":3},{"info":"compute unary expreesion, input=5726, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=32787076","layer":2},{"info":"compute unary expreesion, input=32787076, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=65575553","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=65575553, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⇁⨣⪵(⪎⋱⫍85B⊭∹↮))⨵⪆(+⊝⨔(⨰⫟⨤⪎⋱⫍1321)))∑⇟⊟((⫓⪴(⪎⋱⫍27B6⋝⋈⪟⪎⋱⫍1009))⫌⩹⨱)=NaN","reverse_text":"NaN=((⇁⨣⪵(⪎⋱⫍85B⊭∹↮))⨵⪆(+⊝⨔(⨰⫟⨤⪎⋱⫍1321)))∑⇟⊟((⫓⪴(⪎⋱⫍27B6⋝⋈⪟⪎⋱⫍1009))⫌⩹⨱)","cot":[{"info":"⪎⋱⫍85B⊭∹↮=⪎⋱⫍13B9","layer":3},{"info":"⇁⨣⪵⪎⋱⫍13B9=NaN","layer":2},{"info":"⨰⫟⨤⪎⋱⫍1321=NaN","layer":3},{"info":"+⊝⨔NaN=⪎⋱⫍901","layer":2},{"info":"NaN⨵⪆⪎⋱⫍901=⪎⋱⫍C4","layer":1},{"info":"⪎⋱⫍27B6⋝⋈⪟⪎⋱⫍1009=⪎⋱⫍27B6","layer":3},{"info":"⫓⪴⪎⋱⫍27B6=⪎⋱⫍6A3C74A","layer":2},{"info":"⪎⋱⫍6A3C74A⫌⩹⨱=⪎⋱⫍1077CA04","layer":1},{"info":"⪎⋱⫍C4∑⇟⊟⪎⋱⫍1077CA04=NaN","layer":0}]}
{"id":845,"expression_no_base_symbol":"⇁⨣⪵((↯⪼($1281$⪨≂$2820$))⩨((⋗⩬⋾$1722$)⋫))","expression":"⇁⨣⪵((↯⪼(⪎⋱⫍777⪨≂⪎⋱⫍138C))⩨((⋗⩬⋾⪎⋱⫍A26)⋫))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":5225,"operation_count":6,"complexity_ratio":870.8333333333334,"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":1281,"base":13},"right_expr":{"type":"numeric_atoms","value":2820,"base":13}}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1722,"base":13}}}}},"used_operators":["inkyxCbjAn","2DlMacCsIx","8jW3W4yZS5","sdazOOVcIp","JL8yIekQnl","DpFCA1CohY"],"dependent_operators":["B5M0gjZbta","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1281","layer":4},{"info":"number node, value=2820","layer":4},{"info":"compute binary expreesion, left_input=1281, right_input=2820, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-2976","layer":3},{"info":"compute unary expreesion, input=-2976, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=5035","layer":2},{"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 unary expreesion, input=-5166, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=-5166","layer":2},{"info":"compute binary expreesion, left_input=5035, right_input=-5166, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=6","layer":1},{"info":"compute unary expreesion, input=6, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=0","layer":0}],"base":13,"result_base":13,"text":"⇁⨣⪵((↯⪼(⪎⋱⫍777⪨≂⪎⋱⫍138C))⩨((⋗⩬⋾⪎⋱⫍A26)⋫))=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=⇁⨣⪵((↯⪼(⪎⋱⫍777⪨≂⪎⋱⫍138C))⩨((⋗⩬⋾⪎⋱⫍A26)⋫))","cot":[{"info":"⪎⋱⫍777⪨≂⪎⋱⫍138C=⪎⋱⫍-147C","layer":3},{"info":"↯⪼⪎⋱⫍-147C=⪎⋱⫍23A4","layer":2},{"info":"⋗⩬⋾⪎⋱⫍A26=⪎⋱⫍-2475","layer":3},{"info":"⪎⋱⫍-2475⋫=⪎⋱⫍-2475","layer":2},{"info":"⪎⋱⫍23A4⩨⪎⋱⫍-2475=⪎⋱⫍6","layer":1},{"info":"⇁⨣⪵⪎⋱⫍6=⪎⋱⫍0","layer":0}]}
{"id":846,"expression_no_base_symbol":"($6330$⪘⫢$1024$⨸⪁(⊄⩳↩$4846$))⪢(⨈⫕$1133$⨓$2361$)↬(($1130$⪠⩆⊳)≧⫂∧($1212$≎⊠⪸$1358$)≣⋋)","expression":"(⪎⋱⫍2B5C⪘⫢⪎⋱⫍60A⨸⪁(⊄⩳↩⪎⋱⫍228A))⪢(⨈⫕⪎⋱⫍692⨓⪎⋱⫍10C8)↬((⪎⋱⫍68C⪠⩆⊳)≧⫂∧(⪎⋱⫍723≎⊠⪸⪎⋱⫍806)≣⋋)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":4061,"operation_count":11,"complexity_ratio":369.1818181818182,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":6330,"base":13},"right_expr":{"type":"numeric_atoms","value":1024,"base":13}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":4846,"base":13}}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1133,"base":13},"right_expr":{"type":"numeric_atoms","value":2361,"base":13}}}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":1130,"base":13}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1212,"base":13},"right_expr":{"type":"numeric_atoms","value":1358,"base":13}}}}},"used_operators":["B5M0gjZbta","dWAJyo7jo9","g55IO6H4Gj","oacrs7FA3X","8w2t5hMYqp","megm06wKyl","3ViojmjbAp","Tcnh7f0tEr","Ph9nP6C5qx","JLbD19bQDL","bJkvcejdHO"],"dependent_operators":["rGHVDoGpnC","k8jYdgA6NY","W4YGzv6Whe","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=6330","layer":4},{"info":"number node, value=1024","layer":4},{"info":"compute binary expreesion, left_input=6330, right_input=1024, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=12536","layer":3},{"info":"number node, value=4846","layer":4},{"info":"compute unary expreesion, input=4846, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-14538","layer":3},{"info":"compute binary expreesion, left_input=12536, right_input=-14538, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-4004","layer":2},{"info":"number node, value=1133","layer":4},{"info":"number node, value=2361","layer":4},{"info":"compute binary expreesion, left_input=1133, right_input=2361, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2364","layer":3},{"info":"compute unary expreesion, input=-2364, 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=-4004, right_input=-21, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=1130","layer":4},{"info":"compute unary expreesion, input=1130, 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=1212","layer":4},{"info":"number node, value=1358","layer":4},{"info":"compute binary expreesion, left_input=1212, right_input=1358, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=313435","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=313435, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=312962","layer":2},{"info":"compute unary expreesion, input=312962, 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 = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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":13,"result_base":13,"text":"(⪎⋱⫍2B5C⪘⫢⪎⋱⫍60A⨸⪁(⊄⩳↩⪎⋱⫍228A))⪢(⨈⫕⪎⋱⫍692⨓⪎⋱⫍10C8)↬((⪎⋱⫍68C⪠⩆⊳)≧⫂∧(⪎⋱⫍723≎⊠⪸⪎⋱⫍806)≣⋋)=NaN","reverse_text":"NaN=(⪎⋱⫍2B5C⪘⫢⪎⋱⫍60A⨸⪁(⊄⩳↩⪎⋱⫍228A))⪢(⨈⫕⪎⋱⫍692⨓⪎⋱⫍10C8)↬((⪎⋱⫍68C⪠⩆⊳)≧⫂∧(⪎⋱⫍723≎⊠⪸⪎⋱⫍806)≣⋋)","cot":[{"info":"⪎⋱⫍2B5C⪘⫢⪎⋱⫍60A=⪎⋱⫍5924","layer":3},{"info":"⊄⩳↩⪎⋱⫍228A=⪎⋱⫍-6804","layer":3},{"info":"⪎⋱⫍5924⨸⪁⪎⋱⫍-6804=⪎⋱⫍-1A90","layer":2},{"info":"⪎⋱⫍692⨓⪎⋱⫍10C8=⪎⋱⫍-10CB","layer":3},{"info":"⨈⫕⪎⋱⫍-10CB=⪎⋱⫍-18","layer":2},{"info":"⪎⋱⫍-1A90⪢⪎⋱⫍-18=NaN","layer":1},{"info":"⪎⋱⫍68C⪠⩆⊳=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍723≎⊠⪸⪎⋱⫍806=⪎⋱⫍AC885","layer":3},{"info":"⪎⋱⫍0≧⫂∧⪎⋱⫍AC885=⪎⋱⫍AC5B0","layer":2},{"info":"⪎⋱⫍AC5B0≣⋋=⪎⋱⫍0","layer":1},{"info":"NaN↬⪎⋱⫍0=NaN","layer":0}]}
{"id":847,"expression_no_base_symbol":"($3787$∀⇚≩$3793$⋷$1816$≭$4120$)⇷((≤/$5465$)↙($5872$⊪))⫥∨⫟(($1055$⨟⋌⩍$2509$⪒$1001$%$1686$)≦≮≮)","expression":"(⪎⋱⫍1954∀⇚≩⪎⋱⫍195A⋷⪎⋱⫍A99≭⪎⋱⫍1B4C)⇷((≤/⪎⋱⫍2645)↙(⪎⋱⫍2899⊪))⫥∨⫟((⪎⋱⫍632⨟⋌⩍⪎⋱⫍11B0⪒⪎⋱⫍5C0%⪎⋱⫍9C9)≦≮≮)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":26718,"operation_count":12,"complexity_ratio":2226.5,"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":3787,"base":13},"right_expr":{"type":"numeric_atoms","value":3793,"base":13}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1816,"base":13},"right_expr":{"type":"numeric_atoms","value":4120,"base":13}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":5465,"base":13}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":5872,"base":13}}}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1055,"base":13},"right_expr":{"type":"numeric_atoms","value":2509,"base":13}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1001,"base":13},"right_expr":{"type":"numeric_atoms","value":1686,"base":13}}}}},"used_operators":["KYD54nUTWz","mp7IySMOzn","23Mk6UjR3U","LRNGc0VcxI","rxpJgHHUmx","yyfyN0ffXY","eLAdDNolq6","zVYPLywUTj","D4vGDi5EA2","f6k1SAg4EE","rGHVDoGpnC","k8jYdgA6NY"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","AHs5Up7iyr","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3787","layer":4},{"info":"number node, value=3793","layer":4},{"info":"compute binary expreesion, left_input=3787, right_input=3793, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=1816","layer":4},{"info":"number node, value=4120","layer":4},{"info":"compute binary expreesion, left_input=1816, 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":"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":"number node, value=5465","layer":4},{"info":"compute unary expreesion, input=5465, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-4981","layer":3},{"info":"number node, value=5872","layer":4},{"info":"compute unary expreesion, input=5872, 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=-4981, right_input=0, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-4981","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-4981, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":1},{"info":"number node, value=1055","layer":4},{"info":"number node, value=2509","layer":4},{"info":"compute binary expreesion, left_input=1055, right_input=2509, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=1001","layer":4},{"info":"number node, value=1686","layer":4},{"info":"compute binary expreesion, left_input=1001, right_input=1686, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1001","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1001, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍1954∀⇚≩⪎⋱⫍195A⋷⪎⋱⫍A99≭⪎⋱⫍1B4C)⇷((≤/⪎⋱⫍2645)↙(⪎⋱⫍2899⊪))⫥∨⫟((⪎⋱⫍632⨟⋌⩍⪎⋱⫍11B0⪒⪎⋱⫍5C0%⪎⋱⫍9C9)≦≮≮)=NaN","reverse_text":"NaN=(⪎⋱⫍1954∀⇚≩⪎⋱⫍195A⋷⪎⋱⫍A99≭⪎⋱⫍1B4C)⇷((≤/⪎⋱⫍2645)↙(⪎⋱⫍2899⊪))⫥∨⫟((⪎⋱⫍632⨟⋌⩍⪎⋱⫍11B0⪒⪎⋱⫍5C0%⪎⋱⫍9C9)≦≮≮)","cot":[{"info":"⪎⋱⫍1954∀⇚≩⪎⋱⫍195A=NaN","layer":3},{"info":"⪎⋱⫍A99≭⪎⋱⫍1B4C=NaN","layer":3},{"info":"NaN⋷NaN=NaN","layer":2},{"info":"≤/⪎⋱⫍2645=⪎⋱⫍-2362","layer":3},{"info":"⪎⋱⫍2899⊪=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍-2362↙⪎⋱⫍0=⪎⋱⫍-2362","layer":2},{"info":"NaN⇷⪎⋱⫍-2362=NaN","layer":1},{"info":"⪎⋱⫍632⨟⋌⩍⪎⋱⫍11B0=NaN","layer":3},{"info":"⪎⋱⫍5C0%⪎⋱⫍9C9=⪎⋱⫍5C0","layer":3},{"info":"NaN⪒⪎⋱⫍5C0=NaN","layer":2},{"info":"NaN≦≮≮=NaN","layer":1},{"info":"NaN⫥∨⫟NaN=NaN","layer":0}]}
{"id":848,"expression_no_base_symbol":"(($1569$∲⫓$5983$)⩨(∥⊫$3357$)*$3947$⩚⊴⇥$1602$↺$7346$⩷∴$1544$)⪄($3867$↙$1356$%($2505$⨁⊸⫻))⋝⋈⪟(⫛⫱⨽($6532$⪄$1659$))","expression":"((⪎⋱⫍939∲⫓⪎⋱⫍2953)⩨(∥⊫⪎⋱⫍16B3)*⪎⋱⫍1A48⩚⊴⇥⪎⋱⫍963↺⪎⋱⫍3461⩷∴⪎⋱⫍91A)⪄(⪎⋱⫍19B6↙⪎⋱⫍804%(⪎⋱⫍11A9⨁⊸⫻))⋝⋈⪟(⫛⫱⨽(⪎⋱⫍2C86⪄⪎⋱⫍9A8))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2925,"operation_count":14,"complexity_ratio":208.92857142857142,"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":1569,"base":13},"right_expr":{"type":"numeric_atoms","value":5983,"base":13}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":3357,"base":13}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":3947,"base":13},"right_expr":{"type":"numeric_atoms","value":1602,"base":13}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":7346,"base":13},"right_expr":{"type":"numeric_atoms","value":1544,"base":13}}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":3867,"base":13},"right_expr":{"type":"numeric_atoms","value":1356,"base":13}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":2505,"base":13}}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":6532,"base":13},"right_expr":{"type":"numeric_atoms","value":1659,"base":13}}}}},"used_operators":["SUmda5xLS4","9HNa5Wba9A","2DlMacCsIx","i8ToyICDmI","P8v4zCKN1o","7j4O788W3g","NTOWxs364D","9FxExcQeMw","2DDjHMKMc0","k8jYdgA6NY","yyfyN0ffXY","glklzrTFfD","DlLNRPXxWL"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","rGHVDoGpnC"],"result":"⪎⋱⫍1A71","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1569","layer":4},{"info":"number node, value=5983","layer":4},{"info":"compute binary expreesion, left_input=1569, right_input=5983, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=3357","layer":4},{"info":"compute unary expreesion, input=3357, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=4225","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=4225, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":2},{"info":"number node, value=3947","layer":4},{"info":"number node, value=1602","layer":4},{"info":"compute binary expreesion, left_input=3947, right_input=1602, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-5670","layer":3},{"info":"number node, value=7346","layer":4},{"info":"number node, value=1544","layer":4},{"info":"compute binary expreesion, left_input=7346, right_input=1544, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=11572","layer":3},{"info":"compute binary expreesion, left_input=-5670, right_input=11572, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=11572","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=11572, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=3867","layer":4},{"info":"number node, value=1356","layer":4},{"info":"compute binary expreesion, left_input=3867, right_input=1356, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-4068","layer":3},{"info":"number node, value=2505","layer":4},{"info":"compute unary expreesion, input=2505, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=2505","layer":3},{"info":"compute binary expreesion, left_input=-4068, right_input=2505, op_id = k8jYdgA6NY binary_op_definition= 'None', output=942","layer":2},{"info":"number node, value=6532","layer":4},{"info":"number node, value=1659","layer":4},{"info":"compute binary expreesion, left_input=6532, right_input=1659, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-969461","layer":3},{"info":"compute unary expreesion, input=-969461, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=942, right_input=0, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=942","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=942, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍939∲⫓⪎⋱⫍2953)⩨(∥⊫⪎⋱⫍16B3)*⪎⋱⫍1A48⩚⊴⇥⪎⋱⫍963↺⪎⋱⫍3461⩷∴⪎⋱⫍91A)⪄(⪎⋱⫍19B6↙⪎⋱⫍804%(⪎⋱⫍11A9⨁⊸⫻))⋝⋈⪟(⫛⫱⨽(⪎⋱⫍2C86⪄⪎⋱⫍9A8))=⪎⋱⫍1A71","reverse_text":"⪎⋱⫍1A71=((⪎⋱⫍939∲⫓⪎⋱⫍2953)⩨(∥⊫⪎⋱⫍16B3)*⪎⋱⫍1A48⩚⊴⇥⪎⋱⫍963↺⪎⋱⫍3461⩷∴⪎⋱⫍91A)⪄(⪎⋱⫍19B6↙⪎⋱⫍804%(⪎⋱⫍11A9⨁⊸⫻))⋝⋈⪟(⫛⫱⨽(⪎⋱⫍2C86⪄⪎⋱⫍9A8))","cot":[{"info":"⪎⋱⫍939∲⫓⪎⋱⫍2953=⪎⋱⫍0","layer":3},{"info":"∥⊫⪎⋱⫍16B3=⪎⋱⫍1C00","layer":3},{"info":"⪎⋱⫍0⩨⪎⋱⫍1C00=NaN","layer":2},{"info":"⪎⋱⫍1A48⩚⊴⇥⪎⋱⫍963=⪎⋱⫍-2772","layer":3},{"info":"⪎⋱⫍3461⩷∴⪎⋱⫍91A=⪎⋱⫍5362","layer":3},{"info":"⪎⋱⫍-2772↺⪎⋱⫍5362=⪎⋱⫍5362","layer":2},{"info":"NaN*⪎⋱⫍5362=NaN","layer":1},{"info":"⪎⋱⫍19B6↙⪎⋱⫍804=⪎⋱⫍-1B0C","layer":3},{"info":"⪎⋱⫍11A9⨁⊸⫻=⪎⋱⫍11A9","layer":3},{"info":"⪎⋱⫍-1B0C%⪎⋱⫍11A9=⪎⋱⫍576","layer":2},{"info":"⪎⋱⫍2C86⪄⪎⋱⫍9A8=⪎⋱⫍-27C35C","layer":3},{"info":"⫛⫱⨽⪎⋱⫍-27C35C=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍576⋝⋈⪟⪎⋱⫍0=⪎⋱⫍576","layer":1},{"info":"NaN⪄⪎⋱⫍576=⪎⋱⫍1A71","layer":0}]}
{"id":849,"expression_no_base_symbol":"((⨈⫕$2146$⫸⊐$1738$)+(⨞⊢$1920$⪮%⊝$7101$))⩠","expression":"((⨈⫕⪎⋱⫍C91⫸⊐⪎⋱⫍A39)+(⨞⊢⪎⋱⫍B49⪮%⊝⪎⋱⫍3303))⩠","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":439,"operation_count":6,"complexity_ratio":73.16666666666667,"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":2146,"base":13},"right_expr":{"type":"numeric_atoms","value":1738,"base":13}}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1920,"base":13},"right_expr":{"type":"numeric_atoms","value":7101,"base":13}}}}},"used_operators":["sJAwomhLZr","W4YGzv6Whe","megm06wKyl","mqXw5SEYmG","xUOZtlo3hN","IWmyXbctLI"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"⪎⋱⫍802B","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2146","layer":4},{"info":"number node, value=1738","layer":4},{"info":"compute binary expreesion, left_input=2146, right_input=1738, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=6827","layer":3},{"info":"compute unary expreesion, input=6827, 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=1920","layer":4},{"info":"number node, value=7101","layer":4},{"info":"compute binary expreesion, left_input=1920, right_input=7101, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=4156","layer":3},{"info":"compute unary expreesion, input=4156, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-4330","layer":2},{"info":"compute binary expreesion, left_input=-21, right_input=-4330, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-4351","layer":1},{"info":"compute unary expreesion, input=-4351, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=17613","layer":0}],"base":13,"result_base":13,"text":"((⨈⫕⪎⋱⫍C91⫸⊐⪎⋱⫍A39)+(⨞⊢⪎⋱⫍B49⪮%⊝⪎⋱⫍3303))⩠=⪎⋱⫍802B","reverse_text":"⪎⋱⫍802B=((⨈⫕⪎⋱⫍C91⫸⊐⪎⋱⫍A39)+(⨞⊢⪎⋱⫍B49⪮%⊝⪎⋱⫍3303))⩠","cot":[{"info":"⪎⋱⫍C91⫸⊐⪎⋱⫍A39=⪎⋱⫍3152","layer":3},{"info":"⨈⫕⪎⋱⫍3152=⪎⋱⫍-18","layer":2},{"info":"⪎⋱⫍B49⪮%⊝⪎⋱⫍3303=⪎⋱⫍1B79","layer":3},{"info":"⨞⊢⪎⋱⫍1B79=⪎⋱⫍-1C81","layer":2},{"info":"⪎⋱⫍-18+⪎⋱⫍-1C81=⪎⋱⫍-1C99","layer":1},{"info":"⪎⋱⫍-1C99⩠=⪎⋱⫍802B","layer":0}]}
{"id":850,"expression_no_base_symbol":"⫛⫱⨽(+⊝⨔($3982$⇼⇔∾$3445$⊉≛↸$1118$⨪↰⇹$3230$))","expression":"⫛⫱⨽(+⊝⨔(⪎⋱⫍1A74⇼⇔∾⪎⋱⫍1750⊉≛↸⪎⋱⫍680⨪↰⇹⪎⋱⫍1616))","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":2566,"operation_count":5,"complexity_ratio":513.2,"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":3982,"base":13},"right_expr":{"type":"numeric_atoms","value":3445,"base":13}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1118,"base":13},"right_expr":{"type":"numeric_atoms","value":3230,"base":13}}}}},"used_operators":["DlLNRPXxWL","DhbWaqg5eL","DZ8iAZOCBD","tifHPKVTfV","tmPS8pqC7x"],"dependent_operators":["rGHVDoGpnC","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=3982","layer":4},{"info":"number node, value=3445","layer":4},{"info":"compute binary expreesion, left_input=3982, right_input=3445, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-537","layer":3},{"info":"number node, value=1118","layer":4},{"info":"number node, value=3230","layer":4},{"info":"compute binary expreesion, left_input=1118, right_input=3230, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1118","layer":3},{"info":"compute binary expreesion, left_input=-537, right_input=1118, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=-1118","layer":2},{"info":"compute unary expreesion, input=-1118, 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 = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":0}],"base":13,"result_base":13,"text":"⫛⫱⨽(+⊝⨔(⪎⋱⫍1A74⇼⇔∾⪎⋱⫍1750⊉≛↸⪎⋱⫍680⨪↰⇹⪎⋱⫍1616))=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=⫛⫱⨽(+⊝⨔(⪎⋱⫍1A74⇼⇔∾⪎⋱⫍1750⊉≛↸⪎⋱⫍680⨪↰⇹⪎⋱⫍1616))","cot":[{"info":"⪎⋱⫍1A74⇼⇔∾⪎⋱⫍1750=⪎⋱⫍-324","layer":3},{"info":"⪎⋱⫍680⨪↰⇹⪎⋱⫍1616=⪎⋱⫍680","layer":3},{"info":"⪎⋱⫍-324⊉≛↸⪎⋱⫍680=⪎⋱⫍-680","layer":2},{"info":"+⊝⨔⪎⋱⫍-680=⪎⋱⫍901","layer":1},{"info":"⫛⫱⨽⪎⋱⫍901=⪎⋱⫍0","layer":0}]}
{"id":851,"expression_no_base_symbol":"(≉($1453$≭$1521$)⨪↰⇹($2943$-$1573$))⋝⋈⪟((⨰⫟⨤($3783$⨎$2675$))≧⫂∧($1380$↺$4814$⫡⨏$3426$≹⇙⪍$1966$))","expression":"(≉(⪎⋱⫍87A≭⪎⋱⫍900)⨪↰⇹(⪎⋱⫍1455-⪎⋱⫍940))⋝⋈⪟((⨰⫟⨤(⪎⋱⫍1950⨎⪎⋱⫍12AA))≧⫂∧(⪎⋱⫍822↺⪎⋱⫍2264⫡⨏⪎⋱⫍1737≹⇙⪍⪎⋱⫍B83))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":9879,"operation_count":11,"complexity_ratio":898.0909090909091,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1453,"base":13},"right_expr":{"type":"numeric_atoms","value":1521,"base":13}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2943,"base":13},"right_expr":{"type":"numeric_atoms","value":1573,"base":13}}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":3783,"base":13},"right_expr":{"type":"numeric_atoms","value":2675,"base":13}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1380,"base":13},"right_expr":{"type":"numeric_atoms","value":4814,"base":13}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":3426,"base":13},"right_expr":{"type":"numeric_atoms","value":1966,"base":13}}}}},"used_operators":["2DDjHMKMc0","e1ybzncUwg","tmPS8pqC7x","rxpJgHHUmx","rysDP5nf3Z","Ph9nP6C5qx","Tw270M8GLb","rJVOvQCfKK","QMFrweE19q","7j4O788W3g","AHs5Up7iyr"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1453","layer":4},{"info":"number node, value=1521","layer":4},{"info":"compute binary expreesion, left_input=1453, right_input=1521, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=2943","layer":4},{"info":"number node, value=1573","layer":4},{"info":"compute binary expreesion, left_input=2943, right_input=1573, op_id = rysDP5nf3Z binary_op_definition= 'None', output=1370","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1370, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((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 = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=nan","layer":1},{"info":"number node, value=3783","layer":4},{"info":"number node, value=2675","layer":4},{"info":"compute binary expreesion, left_input=3783, right_input=2675, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2675","layer":3},{"info":"compute unary expreesion, input=2675, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":2},{"info":"number node, value=1380","layer":4},{"info":"number node, value=4814","layer":4},{"info":"compute binary expreesion, left_input=1380, right_input=4814, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=4814","layer":3},{"info":"number node, value=3426","layer":4},{"info":"number node, value=1966","layer":4},{"info":"compute binary expreesion, left_input=3426, right_input=1966, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=4814, right_input=nan, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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 = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(≉(⪎⋱⫍87A≭⪎⋱⫍900)⨪↰⇹(⪎⋱⫍1455-⪎⋱⫍940))⋝⋈⪟((⨰⫟⨤(⪎⋱⫍1950⨎⪎⋱⫍12AA))≧⫂∧(⪎⋱⫍822↺⪎⋱⫍2264⫡⨏⪎⋱⫍1737≹⇙⪍⪎⋱⫍B83))=NaN","reverse_text":"NaN=(≉(⪎⋱⫍87A≭⪎⋱⫍900)⨪↰⇹(⪎⋱⫍1455-⪎⋱⫍940))⋝⋈⪟((⨰⫟⨤(⪎⋱⫍1950⨎⪎⋱⫍12AA))≧⫂∧(⪎⋱⫍822↺⪎⋱⫍2264⫡⨏⪎⋱⫍1737≹⇙⪍⪎⋱⫍B83))","cot":[{"info":"⪎⋱⫍87A≭⪎⋱⫍900=NaN","layer":3},{"info":"⪎⋱⫍1455-⪎⋱⫍940=⪎⋱⫍815","layer":3},{"info":"NaN⨪↰⇹⪎⋱⫍815=NaN","layer":2},{"info":"≉NaN=NaN","layer":1},{"info":"⪎⋱⫍1950⨎⪎⋱⫍12AA=⪎⋱⫍12AA","layer":3},{"info":"⨰⫟⨤⪎⋱⫍12AA=NaN","layer":2},{"info":"⪎⋱⫍822↺⪎⋱⫍2264=⪎⋱⫍2264","layer":3},{"info":"⪎⋱⫍1737≹⇙⪍⪎⋱⫍B83=NaN","layer":3},{"info":"⪎⋱⫍2264⫡⨏NaN=NaN","layer":2},{"info":"NaN≧⫂∧NaN=NaN","layer":1},{"info":"NaN⋝⋈⪟NaN=NaN","layer":0}]}
{"id":852,"expression_no_base_symbol":"(((⩦⩻⨪$5326$)⇼⇔∾$1102$⨎$1946$)⊭∹↮)≭(($4580$↺$2312$)⋓($5458$↺$3199$)*(≤/$3570$)⨐⩸⫘($1492$⇼⇔∾$5247$))","expression":"(((⩦⩻⨪⪎⋱⫍2569)⇼⇔∾⪎⋱⫍66A⨎⪎⋱⫍B69)⊭∹↮)≭((⪎⋱⫍2114↺⪎⋱⫍108B)⋓(⪎⋱⫍263B↺⪎⋱⫍15C1)*(≤/⪎⋱⫍1818)⨐⩸⫘(⪎⋱⫍8AA⇼⇔∾⪎⋱⫍2508))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":30,"operation_count":12,"complexity_ratio":2.5,"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":5326,"base":13}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1102,"base":13},"right_expr":{"type":"numeric_atoms","value":1946,"base":13}}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":4580,"base":13},"right_expr":{"type":"numeric_atoms","value":2312,"base":13}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":5458,"base":13},"right_expr":{"type":"numeric_atoms","value":3199,"base":13}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":3570,"base":13}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1492,"base":13},"right_expr":{"type":"numeric_atoms","value":5247,"base":13}}}}},"used_operators":["rxpJgHHUmx","xNBdhnnwKq","tifHPKVTfV","2td37pGCOC","rJVOvQCfKK","9HNa5Wba9A","T2fj7uvVaJ","7j4O788W3g","fu6greOZ01","eLAdDNolq6"],"dependent_operators":["AHs5Up7iyr","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5326","layer":4},{"info":"compute unary expreesion, input=5326, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=5326","layer":3},{"info":"number node, value=1102","layer":4},{"info":"number node, value=1946","layer":4},{"info":"compute binary expreesion, left_input=1102, right_input=1946, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1946","layer":3},{"info":"compute binary expreesion, left_input=5326, right_input=1946, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-3380","layer":2},{"info":"compute unary expreesion, input=-3380, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=-3380","layer":1},{"info":"number node, value=4580","layer":4},{"info":"number node, value=2312","layer":4},{"info":"compute binary expreesion, left_input=4580, right_input=2312, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2312","layer":3},{"info":"number node, value=5458","layer":4},{"info":"number node, value=3199","layer":4},{"info":"compute binary expreesion, left_input=5458, right_input=3199, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3199","layer":3},{"info":"compute binary expreesion, left_input=2312, right_input=3199, op_id = T2fj7uvVaJ binary_op_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=3570","layer":4},{"info":"compute unary expreesion, input=3570, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-3086","layer":3},{"info":"number node, value=1492","layer":4},{"info":"number node, value=5247","layer":4},{"info":"compute binary expreesion, left_input=1492, right_input=5247, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=3755","layer":3},{"info":"compute binary expreesion, left_input=-3086, right_input=3755, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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 = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-3380, 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":13,"result_base":13,"text":"(((⩦⩻⨪⪎⋱⫍2569)⇼⇔∾⪎⋱⫍66A⨎⪎⋱⫍B69)⊭∹↮)≭((⪎⋱⫍2114↺⪎⋱⫍108B)⋓(⪎⋱⫍263B↺⪎⋱⫍15C1)*(≤/⪎⋱⫍1818)⨐⩸⫘(⪎⋱⫍8AA⇼⇔∾⪎⋱⫍2508))=NaN","reverse_text":"NaN=(((⩦⩻⨪⪎⋱⫍2569)⇼⇔∾⪎⋱⫍66A⨎⪎⋱⫍B69)⊭∹↮)≭((⪎⋱⫍2114↺⪎⋱⫍108B)⋓(⪎⋱⫍263B↺⪎⋱⫍15C1)*(≤/⪎⋱⫍1818)⨐⩸⫘(⪎⋱⫍8AA⇼⇔∾⪎⋱⫍2508))","cot":[{"info":"⩦⩻⨪⪎⋱⫍2569=⪎⋱⫍2569","layer":3},{"info":"⪎⋱⫍66A⨎⪎⋱⫍B69=⪎⋱⫍B69","layer":3},{"info":"⪎⋱⫍2569⇼⇔∾⪎⋱⫍B69=⪎⋱⫍-1700","layer":2},{"info":"⪎⋱⫍-1700⊭∹↮=⪎⋱⫍-1700","layer":1},{"info":"⪎⋱⫍2114↺⪎⋱⫍108B=⪎⋱⫍108B","layer":3},{"info":"⪎⋱⫍263B↺⪎⋱⫍15C1=⪎⋱⫍15C1","layer":3},{"info":"⪎⋱⫍108B⋓⪎⋱⫍15C1=⪎⋱⫍0","layer":2},{"info":"≤/⪎⋱⫍1818=⪎⋱⫍-1535","layer":3},{"info":"⪎⋱⫍8AA⇼⇔∾⪎⋱⫍2508=⪎⋱⫍192B","layer":3},{"info":"⪎⋱⫍-1535⨐⩸⫘⪎⋱⫍192B=NaN","layer":2},{"info":"⪎⋱⫍0*NaN=NaN","layer":1},{"info":"⪎⋱⫍-1700≭NaN=NaN","layer":0}]}
{"id":853,"expression_no_base_symbol":"↯⪼(((⫓⪴$2982$)⫩⊇)⨸⪁($4354$∀⇚≩$3935$)⨟⋌⩍($2390$⨐⩸⫘$4486$))","expression":"↯⪼(((⫓⪴⪎⋱⫍1485)⫩⊇)⨸⪁(⪎⋱⫍1C9C∀⇚≩⪎⋱⫍1A39)⨟⋌⩍(⪎⋱⫍111B⨐⩸⫘⪎⋱⫍2071))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":33498,"operation_count":7,"complexity_ratio":4785.428571428572,"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":2982,"base":13}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":4354,"base":13},"right_expr":{"type":"numeric_atoms","value":3935,"base":13}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2390,"base":13},"right_expr":{"type":"numeric_atoms","value":4486,"base":13}}}}},"used_operators":["8jW3W4yZS5","g55IO6H4Gj","BjRHVeLaeN","eLxqMNBOBk","rGHVDoGpnC","LRNGc0VcxI","fu6greOZ01"],"dependent_operators":["eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","Tcnh7f0tEr","X99M06cbEe","3ViojmjbAp"],"result":"⪎⋱⫍-18","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2982","layer":4},{"info":"compute unary expreesion, input=2982, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=8892324","layer":3},{"info":"compute unary expreesion, input=8892324, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-8892282","layer":2},{"info":"number node, value=4354","layer":4},{"info":"number node, value=3935","layer":4},{"info":"compute binary expreesion, left_input=4354, right_input=3935, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=2390","layer":4},{"info":"number node, value=4486","layer":4},{"info":"compute binary expreesion, left_input=2390, right_input=4486, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=-8892282, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":0}],"base":13,"result_base":13,"text":"↯⪼(((⫓⪴⪎⋱⫍1485)⫩⊇)⨸⪁(⪎⋱⫍1C9C∀⇚≩⪎⋱⫍1A39)⨟⋌⩍(⪎⋱⫍111B⨐⩸⫘⪎⋱⫍2071))=⪎⋱⫍-18","reverse_text":"⪎⋱⫍-18=↯⪼(((⫓⪴⪎⋱⫍1485)⫩⊇)⨸⪁(⪎⋱⫍1C9C∀⇚≩⪎⋱⫍1A39)⨟⋌⩍(⪎⋱⫍111B⨐⩸⫘⪎⋱⫍2071))","cot":[{"info":"⫓⪴⪎⋱⫍1485=⪎⋱⫍1AC463C","layer":3},{"info":"⪎⋱⫍1AC463C⫩⊇=⪎⋱⫍-1AC4609","layer":2},{"info":"⪎⋱⫍1C9C∀⇚≩⪎⋱⫍1A39=NaN","layer":3},{"info":"⪎⋱⫍111B⨐⩸⫘⪎⋱⫍2071=NaN","layer":3},{"info":"NaN⨟⋌⩍NaN=NaN","layer":2},{"info":"⪎⋱⫍-1AC4609⨸⪁NaN=NaN","layer":1},{"info":"↯⪼NaN=⪎⋱⫍-18","layer":0}]}
{"id":854,"expression_no_base_symbol":"((⊥($1452$⪛$2772$))⪄$1048$⩷∴$2267$⨽$5231$≹⇙⪍$2830$)∸","expression":"((⊥(⪎⋱⫍879⪛⪎⋱⫍1353))⪄⪎⋱⫍628⩷∴⪎⋱⫍1055⨽⪎⋱⫍24C5≹⇙⪍⪎⋱⫍1399)∸","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2689,"operation_count":7,"complexity_ratio":384.14285714285717,"tree":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1452,"base":13},"right_expr":{"type":"numeric_atoms","value":2772,"base":13}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1048,"base":13},"right_expr":{"type":"numeric_atoms","value":2267,"base":13}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":5231,"base":13},"right_expr":{"type":"numeric_atoms","value":2830,"base":13}}}}},"used_operators":["o20kRiQErp","SUmda5xLS4","Q3PJZHRvZv","uFcxV4UQCh","8HhzD0ZcuI","9FxExcQeMw","AHs5Up7iyr"],"dependent_operators":["tmPS8pqC7x","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","fu6greOZ01","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","dWAJyo7jo9"],"result":"⪎⋱⫍108","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1452","layer":4},{"info":"number node, value=2772","layer":4},{"info":"compute binary expreesion, left_input=1452, right_input=2772, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1452","layer":3},{"info":"compute unary expreesion, input=1452, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"number node, value=1048","layer":4},{"info":"number node, value=2267","layer":4},{"info":"compute binary expreesion, left_input=1048, right_input=2267, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-2470","layer":3},{"info":"number node, value=5231","layer":4},{"info":"number node, value=2830","layer":4},{"info":"compute binary expreesion, left_input=5231, right_input=2830, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=-2470, 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 = 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 = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":0}],"base":13,"result_base":13,"text":"((⊥(⪎⋱⫍879⪛⪎⋱⫍1353))⪄⪎⋱⫍628⩷∴⪎⋱⫍1055⨽⪎⋱⫍24C5≹⇙⪍⪎⋱⫍1399)∸=⪎⋱⫍108","reverse_text":"⪎⋱⫍108=((⊥(⪎⋱⫍879⪛⪎⋱⫍1353))⪄⪎⋱⫍628⩷∴⪎⋱⫍1055⨽⪎⋱⫍24C5≹⇙⪍⪎⋱⫍1399)∸","cot":[{"info":"⪎⋱⫍879⪛⪎⋱⫍1353=⪎⋱⫍879","layer":3},{"info":"⊥⪎⋱⫍879=NaN","layer":2},{"info":"⪎⋱⫍628⩷∴⪎⋱⫍1055=⪎⋱⫍-1180","layer":3},{"info":"⪎⋱⫍24C5≹⇙⪍⪎⋱⫍1399=NaN","layer":3},{"info":"⪎⋱⫍-1180⨽NaN=NaN","layer":2},{"info":"NaN⪄NaN=⪎⋱⫍1A71","layer":1},{"info":"⪎⋱⫍1A71∸=⪎⋱⫍108","layer":0}]}
{"id":855,"expression_no_base_symbol":"⨵≀≌(↣≠⋷(($1326$/$7612$)⇷$2049$⊴$1573$))","expression":"⨵≀≌(↣≠⋷((⪎⋱⫍7B0/⪎⋱⫍3607)⇷⪎⋱⫍C18⊴⪎⋱⫍940))","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":3890,"operation_count":5,"complexity_ratio":778.0,"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":1326,"base":13},"right_expr":{"type":"numeric_atoms","value":7612,"base":13}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2049,"base":13},"right_expr":{"type":"numeric_atoms","value":1573,"base":13}}}}},"used_operators":["srAu1WTS94","Asc51vEJeQ","mp7IySMOzn","XhwjNDsVaA","Nsiff2A1zJ"],"dependent_operators":["glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","XhwjNDsVaA","AHs5Up7iyr","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1326","layer":4},{"info":"number node, value=7612","layer":4},{"info":"compute binary expreesion, left_input=1326, right_input=7612, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=2049","layer":4},{"info":"number node, value=1573","layer":4},{"info":"compute binary expreesion, left_input=2049, right_input=1573, 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 = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":1},{"info":"compute 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":13,"result_base":13,"text":"⨵≀≌(↣≠⋷((⪎⋱⫍7B0/⪎⋱⫍3607)⇷⪎⋱⫍C18⊴⪎⋱⫍940))=NaN","reverse_text":"NaN=⨵≀≌(↣≠⋷((⪎⋱⫍7B0/⪎⋱⫍3607)⇷⪎⋱⫍C18⊴⪎⋱⫍940))","cot":[{"info":"⪎⋱⫍7B0/⪎⋱⫍3607=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍C18⊴⪎⋱⫍940=NaN","layer":3},{"info":"⪎⋱⫍0⇷NaN=NaN","layer":2},{"info":"↣≠⋷NaN=NaN","layer":1},{"info":"⨵≀≌NaN=NaN","layer":0}]}
{"id":856,"expression_no_base_symbol":"-($2835$↬$2187$⩨$4838$⫸⊐$2370$)∼(($1307$⋳⪒$3671$)↬$5233$↬$3972$)","expression":"-(⪎⋱⫍13A1↬⪎⋱⫍CC3⩨⪎⋱⫍2282⫸⊐⪎⋱⫍1104)∼((⪎⋱⫍797⋳⪒⪎⋱⫍1895)↬⪎⋱⫍24C7↬⪎⋱⫍1A67)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":42,"operation_count":8,"complexity_ratio":5.25,"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":2835,"base":13},"right_expr":{"type":"numeric_atoms","value":2187,"base":13}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":4838,"base":13},"right_expr":{"type":"numeric_atoms","value":2370,"base":13}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1307,"base":13},"right_expr":{"type":"numeric_atoms","value":3671,"base":13}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":5233,"base":13},"right_expr":{"type":"numeric_atoms","value":3972,"base":13}}}}},"used_operators":["t8gj7n24qd","DyGG3AbaNP","2DlMacCsIx","B5M0gjZbta","mqXw5SEYmG","12rbrZMWeM"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rGHVDoGpnC","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2835","layer":4},{"info":"number node, value=2187","layer":4},{"info":"compute binary expreesion, left_input=2835, right_input=2187, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=4838","layer":4},{"info":"number node, value=2370","layer":4},{"info":"compute binary expreesion, left_input=4838, right_input=2370, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=9355","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=9355, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":2},{"info":"number node, value=1307","layer":4},{"info":"number node, value=3671","layer":4},{"info":"compute binary expreesion, left_input=1307, right_input=3671, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-1344","layer":3},{"info":"number node, value=5233","layer":4},{"info":"number node, value=3972","layer":4},{"info":"compute binary expreesion, left_input=5233, right_input=3972, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=-1344, 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 = 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 = t8gj7n24qd, unary_op_definition = 'None', output=nan","layer":0}],"base":13,"result_base":13,"text":"-(⪎⋱⫍13A1↬⪎⋱⫍CC3⩨⪎⋱⫍2282⫸⊐⪎⋱⫍1104)∼((⪎⋱⫍797⋳⪒⪎⋱⫍1895)↬⪎⋱⫍24C7↬⪎⋱⫍1A67)=NaN","reverse_text":"NaN=-(⪎⋱⫍13A1↬⪎⋱⫍CC3⩨⪎⋱⫍2282⫸⊐⪎⋱⫍1104)∼((⪎⋱⫍797⋳⪒⪎⋱⫍1895)↬⪎⋱⫍24C7↬⪎⋱⫍1A67)","cot":[{"info":"⪎⋱⫍13A1↬⪎⋱⫍CC3=NaN","layer":3},{"info":"⪎⋱⫍2282⫸⊐⪎⋱⫍1104=⪎⋱⫍4348","layer":3},{"info":"NaN⩨⪎⋱⫍4348=NaN","layer":2},{"info":"⪎⋱⫍797⋳⪒⪎⋱⫍1895=⪎⋱⫍-7C5","layer":3},{"info":"⪎⋱⫍24C7↬⪎⋱⫍1A67=NaN","layer":3},{"info":"⪎⋱⫍-7C5↬NaN=NaN","layer":2},{"info":"NaN∼NaN=NaN","layer":1},{"info":"-NaN=NaN","layer":0}]}
{"id":857,"expression_no_base_symbol":"($3564$⊭↱$2079$⇼⇔∾$4203$⋝⋈⪟$3707$)⊴(↩$7641$⪢$1523$)⨐⩸⫘((⪲⇎($1133$≋⫹))↙(⨵≀≌($2911$*$6010$)))","expression":"(⪎⋱⫍1812⊭↱⪎⋱⫍C3C⇼⇔∾⪎⋱⫍1BB4⋝⋈⪟⪎⋱⫍18C2)⊴(↩⪎⋱⫍362A⪢⪎⋱⫍902)⨐⩸⫘((⪲⇎(⪎⋱⫍692≋⫹))↙(⨵≀≌(⪎⋱⫍142C*⪎⋱⫍2974)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":14275,"operation_count":12,"complexity_ratio":1189.5833333333333,"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":3564,"base":13},"right_expr":{"type":"numeric_atoms","value":2079,"base":13}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":4203,"base":13},"right_expr":{"type":"numeric_atoms","value":3707,"base":13}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":7641,"base":13},"right_expr":{"type":"numeric_atoms","value":1523,"base":13}}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":1133,"base":13}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2911,"base":13},"right_expr":{"type":"numeric_atoms","value":6010,"base":13}}}}},"used_operators":["fu6greOZ01","Nsiff2A1zJ","tifHPKVTfV","COABgblf1C","2DDjHMKMc0","jLgFTUHLKL","dWAJyo7jo9","yyfyN0ffXY","XPYlsWDdGa","N41Kp7NANJ","srAu1WTS94","9HNa5Wba9A"],"dependent_operators":["3ViojmjbAp","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","k8jYdgA6NY","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3564","layer":4},{"info":"number node, value=2079","layer":4},{"info":"compute binary expreesion, left_input=3564, right_input=2079, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-2965","layer":3},{"info":"number node, value=4203","layer":4},{"info":"number node, value=3707","layer":4},{"info":"compute binary expreesion, left_input=4203, right_input=3707, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=4203","layer":3},{"info":"compute binary expreesion, left_input=-2965, right_input=4203, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=7168","layer":2},{"info":"number node, value=7641","layer":4},{"info":"number node, value=1523","layer":4},{"info":"compute binary expreesion, left_input=7641, right_input=1523, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = 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=7168, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=1133","layer":4},{"info":"compute unary expreesion, input=1133, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-2266","layer":3},{"info":"compute unary expreesion, input=-2266, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=-4532","layer":2},{"info":"number node, value=2911","layer":4},{"info":"number node, value=6010","layer":4},{"info":"compute binary expreesion, left_input=2911, right_input=6010, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=17495110","layer":3},{"info":"compute unary expreesion, input=17495110, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-52485330","layer":2},{"info":"compute binary expreesion, left_input=-4532, right_input=-52485330, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-4532","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-4532, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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":13,"result_base":13,"text":"(⪎⋱⫍1812⊭↱⪎⋱⫍C3C⇼⇔∾⪎⋱⫍1BB4⋝⋈⪟⪎⋱⫍18C2)⊴(↩⪎⋱⫍362A⪢⪎⋱⫍902)⨐⩸⫘((⪲⇎(⪎⋱⫍692≋⫹))↙(⨵≀≌(⪎⋱⫍142C*⪎⋱⫍2974)))=NaN","reverse_text":"NaN=(⪎⋱⫍1812⊭↱⪎⋱⫍C3C⇼⇔∾⪎⋱⫍1BB4⋝⋈⪟⪎⋱⫍18C2)⊴(↩⪎⋱⫍362A⪢⪎⋱⫍902)⨐⩸⫘((⪲⇎(⪎⋱⫍692≋⫹))↙(⨵≀≌(⪎⋱⫍142C*⪎⋱⫍2974)))","cot":[{"info":"⪎⋱⫍1812⊭↱⪎⋱⫍C3C=⪎⋱⫍-1471","layer":3},{"info":"⪎⋱⫍1BB4⋝⋈⪟⪎⋱⫍18C2=⪎⋱⫍1BB4","layer":3},{"info":"⪎⋱⫍-1471⇼⇔∾⪎⋱⫍1BB4=⪎⋱⫍3355","layer":2},{"info":"⪎⋱⫍362A⪢⪎⋱⫍902=NaN","layer":3},{"info":"↩NaN=NaN","layer":2},{"info":"⪎⋱⫍3355⊴NaN=NaN","layer":1},{"info":"⪎⋱⫍692≋⫹=⪎⋱⫍-1054","layer":3},{"info":"⪲⇎⪎⋱⫍-1054=⪎⋱⫍-20A8","layer":2},{"info":"⪎⋱⫍142C*⪎⋱⫍2974=⪎⋱⫍3817249","layer":3},{"info":"⨵≀≌⪎⋱⫍3817249=⪎⋱⫍-AB48711","layer":2},{"info":"⪎⋱⫍-20A8↙⪎⋱⫍-AB48711=⪎⋱⫍-20A8","layer":1},{"info":"NaN⨐⩸⫘⪎⋱⫍-20A8=NaN","layer":0}]}
{"id":858,"expression_no_base_symbol":"∥⊫($1893$⫸⊐$5896$⨸⪁$1934$⪘⫢$7685$)⨪↰⇹(≦∁$3432$∲⫓$3218$)","expression":"∥⊫(⪎⋱⫍B28⫸⊐⪎⋱⫍28B7⨸⪁⪎⋱⫍B5A⪘⫢⪎⋱⫍3662)⨪↰⇹(≦∁⪎⋱⫍1740∲⫓⪎⋱⫍1607)","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":54481,"operation_count":7,"complexity_ratio":7783.0,"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":1893,"base":13},"right_expr":{"type":"numeric_atoms","value":5896,"base":13}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1934,"base":13},"right_expr":{"type":"numeric_atoms","value":7685,"base":13}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":3432,"base":13},"right_expr":{"type":"numeric_atoms","value":3218,"base":13}}}}},"used_operators":["P8v4zCKN1o","tmPS8pqC7x","g55IO6H4Gj","mqXw5SEYmG","oacrs7FA3X","9ICcGScMcE","i8ToyICDmI"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","W4YGzv6Whe","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍1C20B","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1893","layer":4},{"info":"number node, value=5896","layer":4},{"info":"compute binary expreesion, left_input=1893, right_input=5896, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=23459","layer":3},{"info":"number node, value=1934","layer":4},{"info":"number node, value=7685","layer":4},{"info":"compute binary expreesion, left_input=1934, right_input=7685, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=3744","layer":3},{"info":"compute binary expreesion, left_input=23459, right_input=3744, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=54406","layer":2},{"info":"number node, value=3432","layer":4},{"info":"number node, value=3218","layer":4},{"info":"compute binary expreesion, left_input=3432, right_input=3218, 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 = 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 binary expreesion, left_input=54406, right_input=-320, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=54406","layer":1},{"info":"compute unary expreesion, input=54406, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=55274","layer":0}],"base":13,"result_base":13,"text":"∥⊫(⪎⋱⫍B28⫸⊐⪎⋱⫍28B7⨸⪁⪎⋱⫍B5A⪘⫢⪎⋱⫍3662)⨪↰⇹(≦∁⪎⋱⫍1740∲⫓⪎⋱⫍1607)=⪎⋱⫍1C20B","reverse_text":"⪎⋱⫍1C20B=∥⊫(⪎⋱⫍B28⫸⊐⪎⋱⫍28B7⨸⪁⪎⋱⫍B5A⪘⫢⪎⋱⫍3662)⨪↰⇹(≦∁⪎⋱⫍1740∲⫓⪎⋱⫍1607)","cot":[{"info":"⪎⋱⫍B28⫸⊐⪎⋱⫍28B7=⪎⋱⫍A8A7","layer":3},{"info":"⪎⋱⫍B5A⪘⫢⪎⋱⫍3662=⪎⋱⫍1920","layer":3},{"info":"⪎⋱⫍A8A7⨸⪁⪎⋱⫍1920=⪎⋱⫍1B9C1","layer":2},{"info":"⪎⋱⫍1740∲⫓⪎⋱⫍1607=⪎⋱⫍0","layer":3},{"info":"≦∁⪎⋱⫍0=⪎⋱⫍-1B8","layer":2},{"info":"⪎⋱⫍1B9C1⨪↰⇹⪎⋱⫍-1B8=⪎⋱⫍1B9C1","layer":1},{"info":"∥⊫⪎⋱⫍1B9C1=⪎⋱⫍1C20B","layer":0}]}
{"id":859,"expression_no_base_symbol":"(($1176$⪮%⊝$1820$⊉≛↸$2608$≧⫂∧$5318$)⪮%⊝(⨞⊢($1054$⩨$6361$)))⨟⋌⩍(($3627$⨓$2169$⫡⨏$1005$⫸⊐$1858$)⨳⩥⨓$1979$↬$5268$⋝⋈⪟(∂$7570$))","expression":"((⪎⋱⫍6C6⪮%⊝⪎⋱⫍AA0⊉≛↸⪎⋱⫍1258≧⫂∧⪎⋱⫍2561)⪮%⊝(⨞⊢(⪎⋱⫍631⩨⪎⋱⫍2B84)))⨟⋌⩍((⪎⋱⫍1860⨓⪎⋱⫍CAB⫡⨏⪎⋱⫍5C4⫸⊐⪎⋱⫍ACC)⨳⩥⨓⪎⋱⫍B93↬⪎⋱⫍2523⋝⋈⪟(∂⪎⋱⫍35A4))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2247,"operation_count":14,"complexity_ratio":160.5,"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":1176,"base":13},"right_expr":{"type":"numeric_atoms","value":1820,"base":13}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2608,"base":13},"right_expr":{"type":"numeric_atoms","value":5318,"base":13}}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1054,"base":13},"right_expr":{"type":"numeric_atoms","value":6361,"base":13}}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":3627,"base":13},"right_expr":{"type":"numeric_atoms","value":2169,"base":13}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1005,"base":13},"right_expr":{"type":"numeric_atoms","value":1858,"base":13}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1979,"base":13},"right_expr":{"type":"numeric_atoms","value":5268,"base":13}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":7570,"base":13}}}}},"used_operators":["rGHVDoGpnC","IWmyXbctLI","DZ8iAZOCBD","Ph9nP6C5qx","xUOZtlo3hN","2DlMacCsIx","nCS4ZIUYfx","QMFrweE19q","3ViojmjbAp","mqXw5SEYmG","2DDjHMKMc0","B5M0gjZbta","Uaa54Peajs"],"dependent_operators":["Tcnh7f0tEr","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1176","layer":4},{"info":"number node, value=1820","layer":4},{"info":"compute binary expreesion, left_input=1176, right_input=1820, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=2668","layer":3},{"info":"number node, value=2608","layer":4},{"info":"number node, value=5318","layer":4},{"info":"compute binary expreesion, left_input=2608, right_input=5318, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=4845","layer":3},{"info":"compute binary expreesion, left_input=2668, right_input=4845, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=5336","layer":2},{"info":"number node, value=1054","layer":4},{"info":"number node, value=6361","layer":4},{"info":"compute binary expreesion, left_input=1054, right_input=6361, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-18","layer":3},{"info":"compute unary expreesion, input=-18, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-156","layer":2},{"info":"compute binary expreesion, left_input=5336, right_input=-156, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=10988","layer":1},{"info":"number node, value=3627","layer":4},{"info":"number node, value=2169","layer":4},{"info":"compute binary expreesion, left_input=3627, right_input=2169, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2172","layer":3},{"info":"number node, value=1005","layer":4},{"info":"number node, value=1858","layer":4},{"info":"compute binary expreesion, left_input=1005, right_input=1858, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=7307","layer":3},{"info":"compute binary expreesion, left_input=-2172, right_input=7307, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=4537","layer":2},{"info":"number node, value=1979","layer":4},{"info":"number node, value=5268","layer":4},{"info":"compute binary expreesion, left_input=1979, right_input=5268, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=7570","layer":4},{"info":"compute unary expreesion, input=7570, 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 = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=4537, 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=10988, 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":13,"result_base":13,"text":"((⪎⋱⫍6C6⪮%⊝⪎⋱⫍AA0⊉≛↸⪎⋱⫍1258≧⫂∧⪎⋱⫍2561)⪮%⊝(⨞⊢(⪎⋱⫍631⩨⪎⋱⫍2B84)))⨟⋌⩍((⪎⋱⫍1860⨓⪎⋱⫍CAB⫡⨏⪎⋱⫍5C4⫸⊐⪎⋱⫍ACC)⨳⩥⨓⪎⋱⫍B93↬⪎⋱⫍2523⋝⋈⪟(∂⪎⋱⫍35A4))=NaN","reverse_text":"NaN=((⪎⋱⫍6C6⪮%⊝⪎⋱⫍AA0⊉≛↸⪎⋱⫍1258≧⫂∧⪎⋱⫍2561)⪮%⊝(⨞⊢(⪎⋱⫍631⩨⪎⋱⫍2B84)))⨟⋌⩍((⪎⋱⫍1860⨓⪎⋱⫍CAB⫡⨏⪎⋱⫍5C4⫸⊐⪎⋱⫍ACC)⨳⩥⨓⪎⋱⫍B93↬⪎⋱⫍2523⋝⋈⪟(∂⪎⋱⫍35A4))","cot":[{"info":"⪎⋱⫍6C6⪮%⊝⪎⋱⫍AA0=⪎⋱⫍12A3","layer":3},{"info":"⪎⋱⫍1258≧⫂∧⪎⋱⫍2561=⪎⋱⫍2289","layer":3},{"info":"⪎⋱⫍12A3⊉≛↸⪎⋱⫍2289=⪎⋱⫍2576","layer":2},{"info":"⪎⋱⫍631⩨⪎⋱⫍2B84=⪎⋱⫍-15","layer":3},{"info":"⨞⊢⪎⋱⫍-15=⪎⋱⫍-C0","layer":2},{"info":"⪎⋱⫍2576⪮%⊝⪎⋱⫍-C0=⪎⋱⫍5003","layer":1},{"info":"⪎⋱⫍1860⨓⪎⋱⫍CAB=⪎⋱⫍-CB1","layer":3},{"info":"⪎⋱⫍5C4⫸⊐⪎⋱⫍ACC=⪎⋱⫍3431","layer":3},{"info":"⪎⋱⫍-CB1⫡⨏⪎⋱⫍3431=⪎⋱⫍20B0","layer":2},{"info":"⪎⋱⫍B93↬⪎⋱⫍2523=NaN","layer":3},{"info":"∂⪎⋱⫍35A4=NaN","layer":3},{"info":"NaN⋝⋈⪟NaN=NaN","layer":2},{"info":"⪎⋱⫍20B0⨳⩥⨓NaN=NaN","layer":1},{"info":"⪎⋱⫍5003⨟⋌⩍NaN=NaN","layer":0}]}
{"id":860,"expression_no_base_symbol":"(($1700$⨵⪆$4112$)*(⊄⩳↩$1978$))⊴($2378$⊭↱$6707$⊉≛↸$1124$⋝⋈⪟$3302$)≦≮≮","expression":"((⪎⋱⫍A0A⨵⪆⪎⋱⫍1B44)*(⊄⩳↩⪎⋱⫍B92))⊴(⪎⋱⫍110C⊭↱⪎⋱⫍308C⊉≛↸⪎⋱⫍686⋝⋈⪟⪎⋱⫍1670)≦≮≮","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":39535,"operation_count":8,"complexity_ratio":4941.875,"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":1700,"base":13},"right_expr":{"type":"numeric_atoms","value":4112,"base":13}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1978,"base":13}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":2378,"base":13},"right_expr":{"type":"numeric_atoms","value":6707,"base":13}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1124,"base":13},"right_expr":{"type":"numeric_atoms","value":3302,"base":13}}}}},"used_operators":["D4vGDi5EA2","Nsiff2A1zJ","9HNa5Wba9A","2DQ55sFlQl","8w2t5hMYqp","DZ8iAZOCBD","COABgblf1C","2DDjHMKMc0"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1700","layer":4},{"info":"number node, value=4112","layer":4},{"info":"compute binary expreesion, left_input=1700, right_input=4112, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=1978","layer":4},{"info":"compute unary expreesion, input=1978, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-5934","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-5934, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-949440","layer":2},{"info":"number node, value=2378","layer":4},{"info":"number node, value=6707","layer":4},{"info":"compute binary expreesion, left_input=2378, right_input=6707, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=8663","layer":3},{"info":"number node, value=1124","layer":4},{"info":"number node, value=3302","layer":4},{"info":"compute binary expreesion, left_input=1124, right_input=3302, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1124","layer":3},{"info":"compute binary expreesion, left_input=8663, right_input=1124, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=17326","layer":2},{"info":"compute binary expreesion, left_input=-949440, right_input=17326, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', 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":13,"result_base":13,"text":"((⪎⋱⫍A0A⨵⪆⪎⋱⫍1B44)*(⊄⩳↩⪎⋱⫍B92))⊴(⪎⋱⫍110C⊭↱⪎⋱⫍308C⊉≛↸⪎⋱⫍686⋝⋈⪟⪎⋱⫍1670)≦≮≮=NaN","reverse_text":"NaN=((⪎⋱⫍A0A⨵⪆⪎⋱⫍1B44)*(⊄⩳↩⪎⋱⫍B92))⊴(⪎⋱⫍110C⊭↱⪎⋱⫍308C⊉≛↸⪎⋱⫍686⋝⋈⪟⪎⋱⫍1670)≦≮≮","cot":[{"info":"⪎⋱⫍A0A⨵⪆⪎⋱⫍1B44=⪎⋱⫍C4","layer":3},{"info":"⊄⩳↩⪎⋱⫍B92=⪎⋱⫍-2916","layer":3},{"info":"⪎⋱⫍C4*⪎⋱⫍-2916=⪎⋱⫍-2731CB","layer":2},{"info":"⪎⋱⫍110C⊭↱⪎⋱⫍308C=⪎⋱⫍3C35","layer":3},{"info":"⪎⋱⫍686⋝⋈⪟⪎⋱⫍1670=⪎⋱⫍686","layer":3},{"info":"⪎⋱⫍3C35⊉≛↸⪎⋱⫍686=⪎⋱⫍7B6A","layer":2},{"info":"⪎⋱⫍-2731CB⊴⪎⋱⫍7B6A=NaN","layer":1},{"info":"NaN≦≮≮=NaN","layer":0}]}
{"id":861,"expression_no_base_symbol":"↯⪼(($2036$⨟⋌⩍$4140$)≹⇙⪍($1057$+⇶⊼$2637$)⨰(↯⪼($7352$⫸⊐$1113$)))","expression":"↯⪼((⪎⋱⫍C08⨟⋌⩍⪎⋱⫍1B66)≹⇙⪍(⪎⋱⫍634+⇶⊼⪎⋱⫍127B)⨰(↯⪼(⪎⋱⫍3467⫸⊐⪎⋱⫍678)))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":95,"operation_count":7,"complexity_ratio":13.571428571428571,"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":2036,"base":13},"right_expr":{"type":"numeric_atoms","value":4140,"base":13}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1057,"base":13},"right_expr":{"type":"numeric_atoms","value":2637,"base":13}}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":7352,"base":13},"right_expr":{"type":"numeric_atoms","value":1113,"base":13}}}}},"used_operators":["8jW3W4yZS5","eewbuw0ToL","AHs5Up7iyr","rGHVDoGpnC","TpPTUOHfaN","mqXw5SEYmG"],"dependent_operators":["eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","Tcnh7f0tEr","AHs5Up7iyr","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"⪎⋱⫍-18","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2036","layer":4},{"info":"number node, value=4140","layer":4},{"info":"compute binary expreesion, left_input=2036, right_input=4140, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=1057","layer":4},{"info":"number node, value=2637","layer":4},{"info":"compute binary expreesion, left_input=1057, right_input=2637, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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 = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=7352","layer":4},{"info":"number node, value=1113","layer":4},{"info":"compute binary expreesion, left_input=7352, right_input=1113, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=4327","layer":3},{"info":"compute unary expreesion, input=4327, 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 = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":0}],"base":13,"result_base":13,"text":"↯⪼((⪎⋱⫍C08⨟⋌⩍⪎⋱⫍1B66)≹⇙⪍(⪎⋱⫍634+⇶⊼⪎⋱⫍127B)⨰(↯⪼(⪎⋱⫍3467⫸⊐⪎⋱⫍678)))=⪎⋱⫍-18","reverse_text":"⪎⋱⫍-18=↯⪼((⪎⋱⫍C08⨟⋌⩍⪎⋱⫍1B66)≹⇙⪍(⪎⋱⫍634+⇶⊼⪎⋱⫍127B)⨰(↯⪼(⪎⋱⫍3467⫸⊐⪎⋱⫍678)))","cot":[{"info":"⪎⋱⫍C08⨟⋌⩍⪎⋱⫍1B66=NaN","layer":3},{"info":"⪎⋱⫍634+⇶⊼⪎⋱⫍127B=NaN","layer":3},{"info":"NaN≹⇙⪍NaN=NaN","layer":2},{"info":"⪎⋱⫍3467⫸⊐⪎⋱⫍678=⪎⋱⫍1C7B","layer":3},{"info":"↯⪼⪎⋱⫍1C7B=⪎⋱⫍-18","layer":2},{"info":"NaN⨰⪎⋱⫍-18=NaN","layer":1},{"info":"↯⪼NaN=⪎⋱⫍-18","layer":0}]}
{"id":862,"expression_no_base_symbol":"(⋗⩬⋾$5249$⇷$1401$)≎⊠⪸($8724$⊭↱$9256$≋⫹)⨳⩥⨓(($5546$⫥∨⫟$1903$)∀⇚≩($4179$⊉≛↸$1657$)⨵⪆($9694$⫡⨏$1099$)⪢($2314$↪⪝))","expression":"(⋗⩬⋾⪎⋱⫍250A⇷⪎⋱⫍83A)≎⊠⪸(⪎⋱⫍3C81⊭↱⪎⋱⫍42A0≋⫹)⨳⩥⨓((⪎⋱⫍26A8⫥∨⫟⪎⋱⫍B35)∀⇚≩(⪎⋱⫍1B96⊉≛↸⪎⋱⫍9A6)⨵⪆(⪎⋱⫍4549⫡⨏⪎⋱⫍667)⪢(⪎⋱⫍1090↪⪝))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":74384,"operation_count":13,"complexity_ratio":5721.846153846154,"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":5249,"base":13},"right_expr":{"type":"numeric_atoms","value":1401,"base":13}}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":8724,"base":13},"right_expr":{"type":"numeric_atoms","value":9256,"base":13}}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":5546,"base":13},"right_expr":{"type":"numeric_atoms","value":1903,"base":13}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":4179,"base":13},"right_expr":{"type":"numeric_atoms","value":1657,"base":13}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":9694,"base":13},"right_expr":{"type":"numeric_atoms","value":1099,"base":13}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":2314,"base":13}}}}},"used_operators":["nCS4ZIUYfx","bJkvcejdHO","DpFCA1CohY","mp7IySMOzn","N41Kp7NANJ","COABgblf1C","2DQ55sFlQl","LRNGc0VcxI","KYD54nUTWz","DZ8iAZOCBD","dWAJyo7jo9","QMFrweE19q","l07mrZUIn9"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","2DDjHMKMc0"],"result":"⪎⋱⫍72","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5249","layer":4},{"info":"number node, value=1401","layer":4},{"info":"compute binary expreesion, left_input=5249, right_input=1401, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2802","layer":3},{"info":"compute unary expreesion, input=2802, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-8406","layer":2},{"info":"number node, value=8724","layer":4},{"info":"number node, value=9256","layer":4},{"info":"compute binary expreesion, left_input=8724, right_input=9256, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=1069","layer":3},{"info":"compute unary expreesion, input=1069, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-2138","layer":2},{"info":"compute binary expreesion, left_input=-8406, right_input=-2138, 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=5546","layer":4},{"info":"number node, value=1903","layer":4},{"info":"compute binary expreesion, left_input=5546, right_input=1903, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=4179","layer":4},{"info":"number node, value=1657","layer":4},{"info":"compute binary expreesion, left_input=4179, right_input=1657, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=8358","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=8358, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"number node, value=9694","layer":4},{"info":"number node, value=1099","layer":4},{"info":"compute binary expreesion, left_input=9694, right_input=1099, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=51451","layer":3},{"info":"number node, value=2314","layer":4},{"info":"compute unary expreesion, input=2314, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=141575148","layer":3},{"info":"compute binary expreesion, left_input=51451, right_input=141575148, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=160, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=93","layer":0}],"base":13,"result_base":13,"text":"(⋗⩬⋾⪎⋱⫍250A⇷⪎⋱⫍83A)≎⊠⪸(⪎⋱⫍3C81⊭↱⪎⋱⫍42A0≋⫹)⨳⩥⨓((⪎⋱⫍26A8⫥∨⫟⪎⋱⫍B35)∀⇚≩(⪎⋱⫍1B96⊉≛↸⪎⋱⫍9A6)⨵⪆(⪎⋱⫍4549⫡⨏⪎⋱⫍667)⪢(⪎⋱⫍1090↪⪝))=⪎⋱⫍72","reverse_text":"⪎⋱⫍72=(⋗⩬⋾⪎⋱⫍250A⇷⪎⋱⫍83A)≎⊠⪸(⪎⋱⫍3C81⊭↱⪎⋱⫍42A0≋⫹)⨳⩥⨓((⪎⋱⫍26A8⫥∨⫟⪎⋱⫍B35)∀⇚≩(⪎⋱⫍1B96⊉≛↸⪎⋱⫍9A6)⨵⪆(⪎⋱⫍4549⫡⨏⪎⋱⫍667)⪢(⪎⋱⫍1090↪⪝))","cot":[{"info":"⪎⋱⫍250A⇷⪎⋱⫍83A=⪎⋱⫍1377","layer":3},{"info":"⋗⩬⋾⪎⋱⫍1377=⪎⋱⫍-3A98","layer":2},{"info":"⪎⋱⫍3C81⊭↱⪎⋱⫍42A0=⪎⋱⫍643","layer":3},{"info":"⪎⋱⫍643≋⫹=⪎⋱⫍-C86","layer":2},{"info":"⪎⋱⫍-3A98≎⊠⪸⪎⋱⫍-C86=⪎⋱⫍52","layer":1},{"info":"⪎⋱⫍26A8⫥∨⫟⪎⋱⫍B35=NaN","layer":3},{"info":"⪎⋱⫍1B96⊉≛↸⪎⋱⫍9A6=⪎⋱⫍3A5C","layer":3},{"info":"NaN∀⇚≩⪎⋱⫍3A5C=NaN","layer":2},{"info":"⪎⋱⫍4549⫡⨏⪎⋱⫍667=⪎⋱⫍1A55A","layer":3},{"info":"⪎⋱⫍1090↪⪝=⪎⋱⫍2343C2A0","layer":3},{"info":"⪎⋱⫍1A55A⪢⪎⋱⫍2343C2A0=NaN","layer":2},{"info":"NaN⨵⪆NaN=⪎⋱⫍C4","layer":1},{"info":"⪎⋱⫍52⨳⩥⨓⪎⋱⫍C4=⪎⋱⫍72","layer":0}]}
{"id":863,"expression_no_base_symbol":"(($2298$⇷$1828$)∼($5436$⫩⊇)⨁⊸⫻)⪢(∥⊫(↔$1925$)⨓($3635$∧))","expression":"((⪎⋱⫍107A⇷⪎⋱⫍AA8)∼(⪎⋱⫍2622⫩⊇)⨁⊸⫻)⪢(∥⊫(↔⪎⋱⫍B51)⨓(⪎⋱⫍1868∧))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":32278,"operation_count":9,"complexity_ratio":3586.4444444444443,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2298,"base":13},"right_expr":{"type":"numeric_atoms","value":1828,"base":13}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":5436,"base":13}}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":1925,"base":13}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":3635,"base":13}}}}},"used_operators":["dWAJyo7jo9","glklzrTFfD","DyGG3AbaNP","mp7IySMOzn","BjRHVeLaeN","P8v4zCKN1o","3ViojmjbAp","ruOEQAzv1W","z63VuFQld9"],"dependent_operators":["k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2298","layer":4},{"info":"number node, value=1828","layer":4},{"info":"compute binary expreesion, left_input=2298, right_input=1828, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3656","layer":3},{"info":"number node, value=5436","layer":4},{"info":"compute unary expreesion, input=5436, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-5394","layer":3},{"info":"compute binary expreesion, left_input=3656, right_input=-5394, 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 = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=nan","layer":1},{"info":"number node, value=1925","layer":4},{"info":"compute unary expreesion, input=1925, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-1652","layer":3},{"info":"number node, value=3635","layer":4},{"info":"compute unary expreesion, input=3635, 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=-1652, 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 = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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":13,"result_base":13,"text":"((⪎⋱⫍107A⇷⪎⋱⫍AA8)∼(⪎⋱⫍2622⫩⊇)⨁⊸⫻)⪢(∥⊫(↔⪎⋱⫍B51)⨓(⪎⋱⫍1868∧))=NaN","reverse_text":"NaN=((⪎⋱⫍107A⇷⪎⋱⫍AA8)∼(⪎⋱⫍2622⫩⊇)⨁⊸⫻)⪢(∥⊫(↔⪎⋱⫍B51)⨓(⪎⋱⫍1868∧))","cot":[{"info":"⪎⋱⫍107A⇷⪎⋱⫍AA8=⪎⋱⫍1883","layer":3},{"info":"⪎⋱⫍2622⫩⊇=⪎⋱⫍-25BC","layer":3},{"info":"⪎⋱⫍1883∼⪎⋱⫍-25BC=NaN","layer":2},{"info":"NaN⨁⊸⫻=NaN","layer":1},{"info":"↔⪎⋱⫍B51=⪎⋱⫍-9A1","layer":3},{"info":"⪎⋱⫍1868∧=NaN","layer":3},{"info":"⪎⋱⫍-9A1⨓NaN=NaN","layer":2},{"info":"∥⊫NaN=NaN","layer":1},{"info":"NaN⪢NaN=NaN","layer":0}]}
{"id":864,"expression_no_base_symbol":"(↥(($3308$⨵⪆$2457$)⊘))↛⩡⫤","expression":"(↥((⪎⋱⫍1676⨵⪆⪎⋱⫍1170)⊘))↛⩡⫤","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":87,"operation_count":4,"complexity_ratio":21.75,"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":3308,"base":13},"right_expr":{"type":"numeric_atoms","value":2457,"base":13}}}}},"used_operators":["FU0Cs4j7VP","A8NUZmVepG","gu96TGCTMs","2DQ55sFlQl"],"dependent_operators":["8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","k8jYdgA6NY","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=3308","layer":4},{"info":"number node, value=2457","layer":4},{"info":"compute binary expreesion, left_input=3308, right_input=2457, 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":"compute unary expreesion, input=0, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=0","layer":0}],"base":13,"result_base":13,"text":"(↥((⪎⋱⫍1676⨵⪆⪎⋱⫍1170)⊘))↛⩡⫤=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=(↥((⪎⋱⫍1676⨵⪆⪎⋱⫍1170)⊘))↛⩡⫤","cot":[{"info":"⪎⋱⫍1676⨵⪆⪎⋱⫍1170=⪎⋱⫍C4","layer":3},{"info":"⪎⋱⫍C4⊘=⪎⋱⫍0","layer":2},{"info":"↥⪎⋱⫍0=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍0↛⩡⫤=⪎⋱⫍0","layer":0}]}
{"id":865,"expression_no_base_symbol":"((⊥(≦∁$5617$))≎⊠⪸(($5771$%$2466$)*($1500$/$3118$)))⊴(($4850$⪘⫢$4939$⫩⊇)↙($1841$⨓$3250$⫩⊇))","expression":"((⊥(≦∁⪎⋱⫍2731))≎⊠⪸((⪎⋱⫍281C%⪎⋱⫍1179)*(⪎⋱⫍8B5/⪎⋱⫍155B)))⊴((⪎⋱⫍2291⪘⫢⪎⋱⫍232C⫩⊇)↙(⪎⋱⫍AB8⨓⪎⋱⫍1630⫩⊇))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":12834,"operation_count":12,"complexity_ratio":1069.5,"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":5617,"base":13}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":5771,"base":13},"right_expr":{"type":"numeric_atoms","value":2466,"base":13}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1500,"base":13},"right_expr":{"type":"numeric_atoms","value":3118,"base":13}}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":4850,"base":13},"right_expr":{"type":"numeric_atoms","value":4939,"base":13}}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1841,"base":13},"right_expr":{"type":"numeric_atoms","value":3250,"base":13}}}}},"used_operators":["Nsiff2A1zJ","bJkvcejdHO","Q3PJZHRvZv","9ICcGScMcE","9HNa5Wba9A","k8jYdgA6NY","XhwjNDsVaA","yyfyN0ffXY","BjRHVeLaeN","oacrs7FA3X","3ViojmjbAp"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","fu6greOZ01","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5617","layer":4},{"info":"compute unary expreesion, input=5617, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=5617","layer":3},{"info":"compute unary expreesion, input=5617, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"number node, value=5771","layer":4},{"info":"number node, value=2466","layer":4},{"info":"compute binary expreesion, left_input=5771, right_input=2466, op_id = k8jYdgA6NY binary_op_definition= 'None', output=839","layer":3},{"info":"number node, value=1500","layer":4},{"info":"number node, value=3118","layer":4},{"info":"compute binary expreesion, left_input=1500, right_input=3118, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute binary expreesion, left_input=839, right_input=0, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=nan","layer":1},{"info":"number node, value=4850","layer":4},{"info":"number node, value=4939","layer":4},{"info":"compute binary expreesion, left_input=4850, right_input=4939, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=9576","layer":3},{"info":"compute unary expreesion, input=9576, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-9534","layer":2},{"info":"number node, value=1841","layer":4},{"info":"number node, value=3250","layer":4},{"info":"compute binary expreesion, left_input=1841, right_input=3250, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3253","layer":3},{"info":"compute unary expreesion, input=-3253, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=3295","layer":2},{"info":"compute binary expreesion, left_input=-9534, right_input=3295, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-9534","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-9534, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⊥(≦∁⪎⋱⫍2731))≎⊠⪸((⪎⋱⫍281C%⪎⋱⫍1179)*(⪎⋱⫍8B5/⪎⋱⫍155B)))⊴((⪎⋱⫍2291⪘⫢⪎⋱⫍232C⫩⊇)↙(⪎⋱⫍AB8⨓⪎⋱⫍1630⫩⊇))=NaN","reverse_text":"NaN=((⊥(≦∁⪎⋱⫍2731))≎⊠⪸((⪎⋱⫍281C%⪎⋱⫍1179)*(⪎⋱⫍8B5/⪎⋱⫍155B)))⊴((⪎⋱⫍2291⪘⫢⪎⋱⫍232C⫩⊇)↙(⪎⋱⫍AB8⨓⪎⋱⫍1630⫩⊇))","cot":[{"info":"≦∁⪎⋱⫍2731=⪎⋱⫍2731","layer":3},{"info":"⊥⪎⋱⫍2731=NaN","layer":2},{"info":"⪎⋱⫍281C%⪎⋱⫍1179=⪎⋱⫍4C7","layer":3},{"info":"⪎⋱⫍8B5/⪎⋱⫍155B=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍4C7*⪎⋱⫍0=⪎⋱⫍0","layer":2},{"info":"NaN≎⊠⪸⪎⋱⫍0=NaN","layer":1},{"info":"⪎⋱⫍2291⪘⫢⪎⋱⫍232C=⪎⋱⫍4488","layer":3},{"info":"⪎⋱⫍4488⫩⊇=⪎⋱⫍-4455","layer":2},{"info":"⪎⋱⫍AB8⨓⪎⋱⫍1630=⪎⋱⫍-1633","layer":3},{"info":"⪎⋱⫍-1633⫩⊇=⪎⋱⫍1666","layer":2},{"info":"⪎⋱⫍-4455↙⪎⋱⫍1666=⪎⋱⫍-4455","layer":1},{"info":"NaN⊴⪎⋱⫍-4455=NaN","layer":0}]}
{"id":866,"expression_no_base_symbol":"(⋗⩬⋾($4934$⊴$5012$⨸⪁$1536$≭$5699$))⪒(⋗⩬⋾(∂$1194$))≎⊠⪸($1066$/$1633$)⪮%⊝($2980$⨐⩸⫘$3192$)","expression":"(⋗⩬⋾(⪎⋱⫍2327⊴⪎⋱⫍2387⨸⪁⪎⋱⫍912≭⪎⋱⫍2795))⪒(⋗⩬⋾(∂⪎⋱⫍70B))≎⊠⪸(⪎⋱⫍640/⪎⋱⫍988)⪮%⊝(⪎⋱⫍1483⨐⩸⫘⪎⋱⫍15B7)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":5054,"operation_count":11,"complexity_ratio":459.45454545454544,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":4934,"base":13},"right_expr":{"type":"numeric_atoms","value":5012,"base":13}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1536,"base":13},"right_expr":{"type":"numeric_atoms","value":5699,"base":13}}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":1194,"base":13}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1066,"base":13},"right_expr":{"type":"numeric_atoms","value":1633,"base":13}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2980,"base":13},"right_expr":{"type":"numeric_atoms","value":3192,"base":13}}}}},"used_operators":["f6k1SAg4EE","DpFCA1CohY","g55IO6H4Gj","Nsiff2A1zJ","rxpJgHHUmx","bJkvcejdHO","Uaa54Peajs","IWmyXbctLI","XhwjNDsVaA","fu6greOZ01"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","dWAJyo7jo9","14qkJME0vr","AHs5Up7iyr","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=4934","layer":4},{"info":"number node, value=5012","layer":4},{"info":"compute binary expreesion, left_input=4934, right_input=5012, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=1536","layer":4},{"info":"number node, value=5699","layer":4},{"info":"compute binary expreesion, left_input=1536, right_input=5699, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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 = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+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=1194","layer":4},{"info":"compute unary expreesion, input=1194, 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 = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=nan","layer":2},{"info":"number node, value=1066","layer":4},{"info":"number node, value=1633","layer":4},{"info":"compute binary expreesion, left_input=1066, right_input=1633, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=2980","layer":4},{"info":"number node, value=3192","layer":4},{"info":"compute binary expreesion, left_input=2980, right_input=3192, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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 = 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 = 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 = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⋗⩬⋾(⪎⋱⫍2327⊴⪎⋱⫍2387⨸⪁⪎⋱⫍912≭⪎⋱⫍2795))⪒(⋗⩬⋾(∂⪎⋱⫍70B))≎⊠⪸(⪎⋱⫍640/⪎⋱⫍988)⪮%⊝(⪎⋱⫍1483⨐⩸⫘⪎⋱⫍15B7)=NaN","reverse_text":"NaN=(⋗⩬⋾(⪎⋱⫍2327⊴⪎⋱⫍2387⨸⪁⪎⋱⫍912≭⪎⋱⫍2795))⪒(⋗⩬⋾(∂⪎⋱⫍70B))≎⊠⪸(⪎⋱⫍640/⪎⋱⫍988)⪮%⊝(⪎⋱⫍1483⨐⩸⫘⪎⋱⫍15B7)","cot":[{"info":"⪎⋱⫍2327⊴⪎⋱⫍2387=NaN","layer":3},{"info":"⪎⋱⫍912≭⪎⋱⫍2795=NaN","layer":3},{"info":"NaN⨸⪁NaN=NaN","layer":2},{"info":"⋗⩬⋾NaN=NaN","layer":1},{"info":"∂⪎⋱⫍70B=NaN","layer":3},{"info":"⋗⩬⋾NaN=NaN","layer":2},{"info":"⪎⋱⫍640/⪎⋱⫍988=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍1483⨐⩸⫘⪎⋱⫍15B7=NaN","layer":3},{"info":"⪎⋱⫍0⪮%⊝NaN=NaN","layer":2},{"info":"NaN≎⊠⪸NaN=⪎⋱⫍52","layer":1},{"info":"NaN⪒⪎⋱⫍52=NaN","layer":0}]}
{"id":867,"expression_no_base_symbol":"(⪲⇎(($1347$∲⫓$1151$)%($1030$⩤)))⋥≓≎(≦∁$1360$↙$1196$)⋳⪒($4284$≭$3733$)⪘⫢($2356$∲⫓$5186$)","expression":"(⪲⇎((⪎⋱⫍7C8∲⫓⪎⋱⫍6A7)%(⪎⋱⫍613⩤)))⋥≓≎(≦∁⪎⋱⫍808↙⪎⋱⫍710)⋳⪒(⪎⋱⫍1C47≭⪎⋱⫍1912)⪘⫢(⪎⋱⫍10C3∲⫓⪎⋱⫍248C)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1265,"operation_count":11,"complexity_ratio":115.0,"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":1347,"base":13},"right_expr":{"type":"numeric_atoms","value":1151,"base":13}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":1030,"base":13}}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1360,"base":13},"right_expr":{"type":"numeric_atoms","value":1196,"base":13}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":4284,"base":13},"right_expr":{"type":"numeric_atoms","value":3733,"base":13}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2356,"base":13},"right_expr":{"type":"numeric_atoms","value":5186,"base":13}}}}},"used_operators":["Qy55tPpLXF","XPYlsWDdGa","k8jYdgA6NY","i8ToyICDmI","Z2TMIBDE3Q","12rbrZMWeM","9ICcGScMcE","yyfyN0ffXY","oacrs7FA3X","rxpJgHHUmx"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","tmPS8pqC7x","DpFCA1CohY","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1347","layer":4},{"info":"number node, value=1151","layer":4},{"info":"compute binary expreesion, left_input=1347, right_input=1151, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=1030","layer":4},{"info":"compute unary expreesion, input=1030, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-1030","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-1030, op_id = k8jYdgA6NY binary_op_definition= 'None', 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=1360","layer":4},{"info":"number node, value=1196","layer":4},{"info":"compute binary expreesion, left_input=1360, right_input=1196, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3588","layer":3},{"info":"compute unary expreesion, input=-3588, 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=4284","layer":4},{"info":"number node, value=3733","layer":4},{"info":"compute binary expreesion, left_input=4284, right_input=3733, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=2356","layer":4},{"info":"number node, value=5186","layer":4},{"info":"compute binary expreesion, left_input=2356, right_input=5186, 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 binary expreesion, left_input=67, right_input=nan, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪲⇎((⪎⋱⫍7C8∲⫓⪎⋱⫍6A7)%(⪎⋱⫍613⩤)))⋥≓≎(≦∁⪎⋱⫍808↙⪎⋱⫍710)⋳⪒(⪎⋱⫍1C47≭⪎⋱⫍1912)⪘⫢(⪎⋱⫍10C3∲⫓⪎⋱⫍248C)=NaN","reverse_text":"NaN=(⪲⇎((⪎⋱⫍7C8∲⫓⪎⋱⫍6A7)%(⪎⋱⫍613⩤)))⋥≓≎(≦∁⪎⋱⫍808↙⪎⋱⫍710)⋳⪒(⪎⋱⫍1C47≭⪎⋱⫍1912)⪘⫢(⪎⋱⫍10C3∲⫓⪎⋱⫍248C)","cot":[{"info":"⪎⋱⫍7C8∲⫓⪎⋱⫍6A7=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍613⩤=⪎⋱⫍-613","layer":3},{"info":"⪎⋱⫍0%⪎⋱⫍-613=⪎⋱⫍0","layer":2},{"info":"⪲⇎⪎⋱⫍0=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍808↙⪎⋱⫍710=⪎⋱⫍-1830","layer":3},{"info":"≦∁⪎⋱⫍-1830=⪎⋱⫍52","layer":2},{"info":"⪎⋱⫍1C47≭⪎⋱⫍1912=NaN","layer":3},{"info":"⪎⋱⫍10C3∲⫓⪎⋱⫍248C=⪎⋱⫍0","layer":3},{"info":"NaN⪘⫢⪎⋱⫍0=NaN","layer":2},{"info":"⪎⋱⫍52⋳⪒NaN=NaN","layer":1},{"info":"⪎⋱⫍0⋥≓≎NaN=NaN","layer":0}]}
{"id":868,"expression_no_base_symbol":"⋗⩬⋾((↥$4265$∼$1238$)⨳⩥⨓($4686$*$2770$)≎⊠⪸$1030$⨟⋌⩍$2059$)","expression":"⋗⩬⋾((↥⪎⋱⫍1C31∼⪎⋱⫍743)⨳⩥⨓(⪎⋱⫍2196*⪎⋱⫍1351)≎⊠⪸⪎⋱⫍613⨟⋌⩍⪎⋱⫍C25)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":2874,"operation_count":7,"complexity_ratio":410.57142857142856,"tree":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":4265,"base":13},"right_expr":{"type":"numeric_atoms","value":1238,"base":13}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":4686,"base":13},"right_expr":{"type":"numeric_atoms","value":2770,"base":13}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1030,"base":13},"right_expr":{"type":"numeric_atoms","value":2059,"base":13}}}}},"used_operators":["DpFCA1CohY","nCS4ZIUYfx","A8NUZmVepG","DyGG3AbaNP","bJkvcejdHO","9HNa5Wba9A","rGHVDoGpnC"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","k8jYdgA6NY","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4265","layer":4},{"info":"number node, value=1238","layer":4},{"info":"compute binary expreesion, left_input=4265, right_input=1238, 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 = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=nan","layer":2},{"info":"number node, value=4686","layer":4},{"info":"number node, value=2770","layer":4},{"info":"compute binary expreesion, left_input=4686, right_input=2770, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=12980220","layer":3},{"info":"number node, value=1030","layer":4},{"info":"number node, value=2059","layer":4},{"info":"compute binary expreesion, left_input=1030, right_input=2059, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=12980220, 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 = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+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":13,"result_base":13,"text":"⋗⩬⋾((↥⪎⋱⫍1C31∼⪎⋱⫍743)⨳⩥⨓(⪎⋱⫍2196*⪎⋱⫍1351)≎⊠⪸⪎⋱⫍613⨟⋌⩍⪎⋱⫍C25)=NaN","reverse_text":"NaN=⋗⩬⋾((↥⪎⋱⫍1C31∼⪎⋱⫍743)⨳⩥⨓(⪎⋱⫍2196*⪎⋱⫍1351)≎⊠⪸⪎⋱⫍613⨟⋌⩍⪎⋱⫍C25)","cot":[{"info":"⪎⋱⫍1C31∼⪎⋱⫍743=NaN","layer":3},{"info":"↥NaN=NaN","layer":2},{"info":"⪎⋱⫍2196*⪎⋱⫍1351=⪎⋱⫍28C6206","layer":3},{"info":"⪎⋱⫍613⨟⋌⩍⪎⋱⫍C25=NaN","layer":3},{"info":"⪎⋱⫍28C6206≎⊠⪸NaN=⪎⋱⫍52","layer":2},{"info":"NaN⨳⩥⨓⪎⋱⫍52=NaN","layer":1},{"info":"⋗⩬⋾NaN=NaN","layer":0}]}
{"id":869,"expression_no_base_symbol":"(⊥(($1269$%$4021$)⩚⊴⇥$1106$⨪↰⇹$7741$))⨸⪁(($1608$≎⊠⪸$1170$/$4508$≭$1001$)⪒(($1759$⫩⊇)↛⩡⫤))","expression":"(⊥((⪎⋱⫍768%⪎⋱⫍1AA4)⩚⊴⇥⪎⋱⫍671⨪↰⇹⪎⋱⫍36A6))⨸⪁((⪎⋱⫍969≎⊠⪸⪎⋱⫍6C0/⪎⋱⫍208A≭⪎⋱⫍5C0)⪒((⪎⋱⫍A54⫩⊇)↛⩡⫤))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":6657,"operation_count":11,"complexity_ratio":605.1818181818181,"tree":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1269,"base":13},"right_expr":{"type":"numeric_atoms","value":4021,"base":13}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1106,"base":13},"right_expr":{"type":"numeric_atoms","value":7741,"base":13}}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1608,"base":13},"right_expr":{"type":"numeric_atoms","value":1170,"base":13}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":4508,"base":13},"right_expr":{"type":"numeric_atoms","value":1001,"base":13}}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":1759,"base":13}}}}},"used_operators":["g55IO6H4Gj","Q3PJZHRvZv","NTOWxs364D","k8jYdgA6NY","tmPS8pqC7x","f6k1SAg4EE","XhwjNDsVaA","bJkvcejdHO","rxpJgHHUmx","FU0Cs4j7VP","BjRHVeLaeN"],"dependent_operators":["W4YGzv6Whe","fu6greOZ01","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","AHs5Up7iyr","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1269","layer":4},{"info":"number node, value=4021","layer":4},{"info":"compute binary expreesion, left_input=1269, right_input=4021, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1269","layer":3},{"info":"number node, value=1106","layer":4},{"info":"number node, value=7741","layer":4},{"info":"compute binary expreesion, left_input=1106, right_input=7741, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1106","layer":3},{"info":"compute binary expreesion, left_input=1269, right_input=1106, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-2496","layer":2},{"info":"compute unary expreesion, input=-2496, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":1},{"info":"number node, value=1608","layer":4},{"info":"number node, value=1170","layer":4},{"info":"compute binary expreesion, left_input=1608, right_input=1170, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=415999","layer":3},{"info":"number node, value=4508","layer":4},{"info":"number node, value=1001","layer":4},{"info":"compute binary expreesion, left_input=4508, 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 binary expreesion, left_input=415999, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=1759","layer":4},{"info":"compute unary expreesion, input=1759, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-1717","layer":3},{"info":"compute unary expreesion, input=-1717, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-241620","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-241620, 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":13,"result_base":13,"text":"(⊥((⪎⋱⫍768%⪎⋱⫍1AA4)⩚⊴⇥⪎⋱⫍671⨪↰⇹⪎⋱⫍36A6))⨸⪁((⪎⋱⫍969≎⊠⪸⪎⋱⫍6C0/⪎⋱⫍208A≭⪎⋱⫍5C0)⪒((⪎⋱⫍A54⫩⊇)↛⩡⫤))=NaN","reverse_text":"NaN=(⊥((⪎⋱⫍768%⪎⋱⫍1AA4)⩚⊴⇥⪎⋱⫍671⨪↰⇹⪎⋱⫍36A6))⨸⪁((⪎⋱⫍969≎⊠⪸⪎⋱⫍6C0/⪎⋱⫍208A≭⪎⋱⫍5C0)⪒((⪎⋱⫍A54⫩⊇)↛⩡⫤))","cot":[{"info":"⪎⋱⫍768%⪎⋱⫍1AA4=⪎⋱⫍768","layer":3},{"info":"⪎⋱⫍671⨪↰⇹⪎⋱⫍36A6=⪎⋱⫍671","layer":3},{"info":"⪎⋱⫍768⩚⊴⇥⪎⋱⫍671=⪎⋱⫍-11A0","layer":2},{"info":"⊥⪎⋱⫍-11A0=NaN","layer":1},{"info":"⪎⋱⫍969≎⊠⪸⪎⋱⫍6C0=⪎⋱⫍11746C","layer":3},{"info":"⪎⋱⫍208A≭⪎⋱⫍5C0=NaN","layer":3},{"info":"⪎⋱⫍11746C/NaN=NaN","layer":2},{"info":"⪎⋱⫍A54⫩⊇=⪎⋱⫍-A21","layer":3},{"info":"⪎⋱⫍-A21↛⩡⫤=⪎⋱⫍-85C92","layer":2},{"info":"NaN⪒⪎⋱⫍-85C92=NaN","layer":1},{"info":"NaN⨸⪁NaN=NaN","layer":0}]}
{"id":870,"expression_no_base_symbol":"($2541$⫡⨏$4860$)⇼⇔∾($2040$⫩⊇)⪒($9778$⪮%⊝$3987$⨵⪆$2744$⨳⩥⨓$2589$)⪨≂(↥$2043$⪘⫢$1225$⩷∴($1148$⨳⩥⨓$8972$))","expression":"(⪎⋱⫍1206⫡⨏⪎⋱⫍229B)⇼⇔∾(⪎⋱⫍C0C⫩⊇)⪒(⪎⋱⫍45B2⪮%⊝⪎⋱⫍1A79⨵⪆⪎⋱⫍1331⨳⩥⨓⪎⋱⫍1242)⪨≂(↥⪎⋱⫍C12⪘⫢⪎⋱⫍733⩷∴(⪎⋱⫍6A4⨳⩥⨓⪎⋱⫍4112))","highest_n_order":2,"priority_hierarchical_complexity":9,"normalized_expansion_degree":208,"operation_count":12,"complexity_ratio":17.333333333333332,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2541,"base":13},"right_expr":{"type":"numeric_atoms","value":4860,"base":13}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":2040,"base":13}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":9778,"base":13},"right_expr":{"type":"numeric_atoms","value":3987,"base":13}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2744,"base":13},"right_expr":{"type":"numeric_atoms","value":2589,"base":13}}}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2043,"base":13},"right_expr":{"type":"numeric_atoms","value":1225,"base":13}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1148,"base":13},"right_expr":{"type":"numeric_atoms","value":8972,"base":13}}}}},"used_operators":["sdazOOVcIp","f6k1SAg4EE","tifHPKVTfV","QMFrweE19q","BjRHVeLaeN","2DQ55sFlQl","IWmyXbctLI","nCS4ZIUYfx","A8NUZmVepG","9FxExcQeMw","oacrs7FA3X"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","k8jYdgA6NY","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"⪎⋱⫍19A5B","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2541","layer":4},{"info":"number node, value=4860","layer":4},{"info":"compute binary expreesion, left_input=2541, right_input=4860, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=23208","layer":3},{"info":"number node, value=2040","layer":4},{"info":"compute unary expreesion, input=2040, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-1998","layer":3},{"info":"compute binary expreesion, left_input=23208, right_input=-1998, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-25206","layer":2},{"info":"number node, value=9778","layer":4},{"info":"number node, value=3987","layer":4},{"info":"compute binary expreesion, left_input=9778, right_input=3987, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=19872","layer":3},{"info":"number node, value=2744","layer":4},{"info":"number node, value=2589","layer":4},{"info":"compute binary expreesion, left_input=2744, right_input=2589, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-155","layer":3},{"info":"compute binary expreesion, left_input=19872, right_input=-155, 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=-25206, right_input=160, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=25046","layer":1},{"info":"number node, value=2043","layer":4},{"info":"number node, value=1225","layer":4},{"info":"compute binary expreesion, left_input=2043, right_input=1225, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=3962","layer":3},{"info":"number node, value=1148","layer":4},{"info":"number node, value=8972","layer":4},{"info":"compute binary expreesion, left_input=1148, right_input=8972, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=7824","layer":3},{"info":"compute binary expreesion, left_input=3962, right_input=7824, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-7756","layer":2},{"info":"compute unary expreesion, input=-7756, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=47","layer":1},{"info":"compute binary expreesion, left_input=25046, right_input=47, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=50100","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍1206⫡⨏⪎⋱⫍229B)⇼⇔∾(⪎⋱⫍C0C⫩⊇)⪒(⪎⋱⫍45B2⪮%⊝⪎⋱⫍1A79⨵⪆⪎⋱⫍1331⨳⩥⨓⪎⋱⫍1242)⪨≂(↥⪎⋱⫍C12⪘⫢⪎⋱⫍733⩷∴(⪎⋱⫍6A4⨳⩥⨓⪎⋱⫍4112))=⪎⋱⫍19A5B","reverse_text":"⪎⋱⫍19A5B=(⪎⋱⫍1206⫡⨏⪎⋱⫍229B)⇼⇔∾(⪎⋱⫍C0C⫩⊇)⪒(⪎⋱⫍45B2⪮%⊝⪎⋱⫍1A79⨵⪆⪎⋱⫍1331⨳⩥⨓⪎⋱⫍1242)⪨≂(↥⪎⋱⫍C12⪘⫢⪎⋱⫍733⩷∴(⪎⋱⫍6A4⨳⩥⨓⪎⋱⫍4112))","cot":[{"info":"⪎⋱⫍1206⫡⨏⪎⋱⫍229B=⪎⋱⫍A743","layer":3},{"info":"⪎⋱⫍C0C⫩⊇=⪎⋱⫍-BA9","layer":3},{"info":"⪎⋱⫍A743⇼⇔∾⪎⋱⫍-BA9=⪎⋱⫍-B61C","layer":2},{"info":"⪎⋱⫍45B2⪮%⊝⪎⋱⫍1A79=⪎⋱⫍9078","layer":3},{"info":"⪎⋱⫍1331⨳⩥⨓⪎⋱⫍1242=⪎⋱⫍-BC","layer":3},{"info":"⪎⋱⫍9078⨵⪆⪎⋱⫍-BC=⪎⋱⫍C4","layer":2},{"info":"⪎⋱⫍-B61C⪒⪎⋱⫍C4=⪎⋱⫍B528","layer":1},{"info":"⪎⋱⫍C12⪘⫢⪎⋱⫍733=⪎⋱⫍1A5A","layer":3},{"info":"⪎⋱⫍6A4⨳⩥⨓⪎⋱⫍4112=⪎⋱⫍373B","layer":3},{"info":"⪎⋱⫍1A5A⩷∴⪎⋱⫍373B=⪎⋱⫍-36B8","layer":2},{"info":"↥⪎⋱⫍-36B8=⪎⋱⫍38","layer":1},{"info":"⪎⋱⫍B528⪨≂⪎⋱⫍38=⪎⋱⫍19A5B","layer":0}]}
{"id":871,"expression_no_base_symbol":"(($3764$↺$3804$↛⩡⫤)⊪)≎⊠⪸(⨰⫟⨤($8169$⨵⪆$1021$))⪢(⩦⩻⨪($1651$*$4972$))","expression":"((⪎⋱⫍1937↺⪎⋱⫍1968↛⩡⫤)⊪)≎⊠⪸(⨰⫟⨤(⪎⋱⫍3945⨵⪆⪎⋱⫍607))⪢(⩦⩻⨪(⪎⋱⫍9A0*⪎⋱⫍2356))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1725603,"operation_count":9,"complexity_ratio":191733.66666666666,"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":3764,"base":13},"right_expr":{"type":"numeric_atoms","value":3804,"base":13}}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":8169,"base":13},"right_expr":{"type":"numeric_atoms","value":1021,"base":13}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1651,"base":13},"right_expr":{"type":"numeric_atoms","value":4972,"base":13}}}}},"used_operators":["bJkvcejdHO","zVYPLywUTj","FU0Cs4j7VP","7j4O788W3g","dWAJyo7jo9","Tw270M8GLb","2DQ55sFlQl","2td37pGCOC","9HNa5Wba9A"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"⪎⋱⫍52","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3764","layer":4},{"info":"number node, value=3804","layer":4},{"info":"compute binary expreesion, left_input=3764, right_input=3804, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3804","layer":3},{"info":"compute unary expreesion, input=3804, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-570493","layer":2},{"info":"compute unary expreesion, input=-570493, 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":1},{"info":"number node, value=8169","layer":4},{"info":"number node, value=1021","layer":4},{"info":"compute binary expreesion, left_input=8169, right_input=1021, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":2},{"info":"number node, value=1651","layer":4},{"info":"number node, value=4972","layer":4},{"info":"compute binary expreesion, left_input=1651, right_input=4972, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=8208772","layer":3},{"info":"compute unary expreesion, input=8208772, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=8208772","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=8208772, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=inf, right_input=nan, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍1937↺⪎⋱⫍1968↛⩡⫤)⊪)≎⊠⪸(⨰⫟⨤(⪎⋱⫍3945⨵⪆⪎⋱⫍607))⪢(⩦⩻⨪(⪎⋱⫍9A0*⪎⋱⫍2356))=⪎⋱⫍52","reverse_text":"⪎⋱⫍52=((⪎⋱⫍1937↺⪎⋱⫍1968↛⩡⫤)⊪)≎⊠⪸(⨰⫟⨤(⪎⋱⫍3945⨵⪆⪎⋱⫍607))⪢(⩦⩻⨪(⪎⋱⫍9A0*⪎⋱⫍2356))","cot":[{"info":"⪎⋱⫍1937↺⪎⋱⫍1968=⪎⋱⫍1968","layer":3},{"info":"⪎⋱⫍1968↛⩡⫤=⪎⋱⫍-16C891","layer":2},{"info":"⪎⋱⫍-16C891⊪=Inf","layer":1},{"info":"⪎⋱⫍3945⨵⪆⪎⋱⫍607=⪎⋱⫍C4","layer":3},{"info":"⨰⫟⨤⪎⋱⫍C4=NaN","layer":2},{"info":"⪎⋱⫍9A0*⪎⋱⫍2356=⪎⋱⫍1915480","layer":3},{"info":"⩦⩻⨪⪎⋱⫍1915480=⪎⋱⫍1915480","layer":2},{"info":"NaN⪢⪎⋱⫍1915480=NaN","layer":1},{"info":"Inf≎⊠⪸NaN=⪎⋱⫍52","layer":0}]}
{"id":872,"expression_no_base_symbol":"≦∁($6292$-$5683$)⪮%⊝($7179$⇋≉)⨽$6552$⩷∴$2105$⋥≓≎$1015$⋥≓≎$4115$","expression":"≦∁(⪎⋱⫍2B30-⪎⋱⫍2782)⪮%⊝(⪎⋱⫍3363⇋≉)⨽⪎⋱⫍2CA0⩷∴⪎⋱⫍C5C⋥≓≎⪎⋱⫍601⋥≓≎⪎⋱⫍1B47","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":25101,"operation_count":8,"complexity_ratio":3137.625,"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":6292,"base":13},"right_expr":{"type":"numeric_atoms","value":5683,"base":13}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":7179,"base":13}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":6552,"base":13},"right_expr":{"type":"numeric_atoms","value":2105,"base":13}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1015,"base":13},"right_expr":{"type":"numeric_atoms","value":4115,"base":13}}}}},"used_operators":["9ICcGScMcE","8HhzD0ZcuI","IWmyXbctLI","rysDP5nf3Z","XIabStNQrY","Qy55tPpLXF","9FxExcQeMw"],"dependent_operators":["XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z"],"result":"⪎⋱⫍52","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=6292","layer":4},{"info":"number node, value=5683","layer":4},{"info":"compute binary expreesion, left_input=6292, right_input=5683, op_id = rysDP5nf3Z binary_op_definition= 'None', output=609","layer":3},{"info":"number node, value=7179","layer":4},{"info":"compute unary expreesion, input=7179, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=14260","layer":3},{"info":"compute binary expreesion, left_input=609, right_input=14260, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=1534","layer":2},{"info":"number node, value=6552","layer":4},{"info":"number node, value=2105","layer":4},{"info":"compute binary expreesion, left_input=6552, right_input=2105, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=8862","layer":3},{"info":"number node, value=1015","layer":4},{"info":"number node, value=4115","layer":4},{"info":"compute binary expreesion, left_input=1015, right_input=4115, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=7248","layer":3},{"info":"compute binary expreesion, left_input=8862, right_input=7248, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=5667","layer":2},{"info":"compute binary expreesion, left_input=1534, right_input=5667, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-7075155","layer":1},{"info":"compute unary expreesion, input=-7075155, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=67","layer":0}],"base":13,"result_base":13,"text":"≦∁(⪎⋱⫍2B30-⪎⋱⫍2782)⪮%⊝(⪎⋱⫍3363⇋≉)⨽⪎⋱⫍2CA0⩷∴⪎⋱⫍C5C⋥≓≎⪎⋱⫍601⋥≓≎⪎⋱⫍1B47=⪎⋱⫍52","reverse_text":"⪎⋱⫍52=≦∁(⪎⋱⫍2B30-⪎⋱⫍2782)⪮%⊝(⪎⋱⫍3363⇋≉)⨽⪎⋱⫍2CA0⩷∴⪎⋱⫍C5C⋥≓≎⪎⋱⫍601⋥≓≎⪎⋱⫍1B47","cot":[{"info":"⪎⋱⫍2B30-⪎⋱⫍2782=⪎⋱⫍37B","layer":3},{"info":"⪎⋱⫍3363⇋≉=⪎⋱⫍664C","layer":3},{"info":"⪎⋱⫍37B⪮%⊝⪎⋱⫍664C=⪎⋱⫍910","layer":2},{"info":"⪎⋱⫍2CA0⩷∴⪎⋱⫍C5C=⪎⋱⫍4059","layer":3},{"info":"⪎⋱⫍601⋥≓≎⪎⋱⫍1B47=⪎⋱⫍33B7","layer":3},{"info":"⪎⋱⫍4059⋥≓≎⪎⋱⫍33B7=⪎⋱⫍276C","layer":2},{"info":"⪎⋱⫍910⨽⪎⋱⫍276C=⪎⋱⫍-16094A9","layer":1},{"info":"≦∁⪎⋱⫍-16094A9=⪎⋱⫍52","layer":0}]}
{"id":873,"expression_no_base_symbol":"⇁⨣⪵($4884$↙$1744$≋⫹)⨓($1615$⨳⩥⨓$1915$⇼⇔∾($4660$≦≮≮))","expression":"⇁⨣⪵(⪎⋱⫍22B9↙⪎⋱⫍A42≋⫹)⨓(⪎⋱⫍973⨳⩥⨓⪎⋱⫍B44⇼⇔∾(⪎⋱⫍2176≦≮≮))","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":16045,"operation_count":7,"complexity_ratio":2292.1428571428573,"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":4884,"base":13},"right_expr":{"type":"numeric_atoms","value":1744,"base":13}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1615,"base":13},"right_expr":{"type":"numeric_atoms","value":1915,"base":13}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":4660,"base":13}}}}},"used_operators":["inkyxCbjAn","3ViojmjbAp","N41Kp7NANJ","yyfyN0ffXY","tifHPKVTfV","nCS4ZIUYfx","D4vGDi5EA2"],"dependent_operators":["B5M0gjZbta","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4884","layer":4},{"info":"number node, value=1744","layer":4},{"info":"compute binary expreesion, left_input=4884, right_input=1744, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-5232","layer":3},{"info":"compute unary expreesion, input=-5232, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=10464","layer":2},{"info":"number node, value=1615","layer":4},{"info":"number node, value=1915","layer":4},{"info":"compute binary expreesion, left_input=1615, right_input=1915, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=300","layer":3},{"info":"number node, value=4660","layer":4},{"info":"compute unary expreesion, input=4660, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-13980","layer":3},{"info":"compute binary expreesion, left_input=300, right_input=-13980, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-14280","layer":2},{"info":"compute binary expreesion, left_input=10464, right_input=-14280, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=14277","layer":1},{"info":"compute unary expreesion, input=14277, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⇁⨣⪵(⪎⋱⫍22B9↙⪎⋱⫍A42≋⫹)⨓(⪎⋱⫍973⨳⩥⨓⪎⋱⫍B44⇼⇔∾(⪎⋱⫍2176≦≮≮))=NaN","reverse_text":"NaN=⇁⨣⪵(⪎⋱⫍22B9↙⪎⋱⫍A42≋⫹)⨓(⪎⋱⫍973⨳⩥⨓⪎⋱⫍B44⇼⇔∾(⪎⋱⫍2176≦≮≮))","cot":[{"info":"⪎⋱⫍22B9↙⪎⋱⫍A42=⪎⋱⫍-24C6","layer":3},{"info":"⪎⋱⫍-24C6≋⫹=⪎⋱⫍49BC","layer":2},{"info":"⪎⋱⫍973⨳⩥⨓⪎⋱⫍B44=⪎⋱⫍1A1","layer":3},{"info":"⪎⋱⫍2176≦≮≮=⪎⋱⫍-6495","layer":3},{"info":"⪎⋱⫍1A1⇼⇔∾⪎⋱⫍-6495=⪎⋱⫍-6666","layer":2},{"info":"⪎⋱⫍49BC⨓⪎⋱⫍-6666=⪎⋱⫍6663","layer":1},{"info":"⇁⨣⪵⪎⋱⫍6663=NaN","layer":0}]}
{"id":874,"expression_no_base_symbol":"((⨈⫕$1754$)⨎$1410$⋓$2768$)⪮%⊝($4668$⪘⫢$7479$⩨$8109$⋥≓≎$5321$)≧⫂∧(($1009$/$4909$)⊭↱$1032$⪢$5793$+($3477$⨸⪁$4705$)⇷($5180$⩚⊴⇥$1512$))","expression":"((⨈⫕⪎⋱⫍A4C)⨎⪎⋱⫍846⋓⪎⋱⫍134C)⪮%⊝(⪎⋱⫍2181⪘⫢⪎⋱⫍3534⩨⪎⋱⫍38CA⋥≓≎⪎⋱⫍2564)≧⫂∧((⪎⋱⫍5C8/⪎⋱⫍2308)⊭↱⪎⋱⫍615⪢⪎⋱⫍2838+(⪎⋱⫍1776⨸⪁⪎⋱⫍21AC)⇷(⪎⋱⫍2486⩚⊴⇥⪎⋱⫍8C4))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":235344,"operation_count":15,"complexity_ratio":15689.6,"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":1754,"base":13}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1410,"base":13},"right_expr":{"type":"numeric_atoms","value":2768,"base":13}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":4668,"base":13},"right_expr":{"type":"numeric_atoms","value":7479,"base":13}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":8109,"base":13},"right_expr":{"type":"numeric_atoms","value":5321,"base":13}}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1009,"base":13},"right_expr":{"type":"numeric_atoms","value":4909,"base":13}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1032,"base":13},"right_expr":{"type":"numeric_atoms","value":5793,"base":13}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":3477,"base":13},"right_expr":{"type":"numeric_atoms","value":4705,"base":13}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":5180,"base":13},"right_expr":{"type":"numeric_atoms","value":1512,"base":13}}}}},"used_operators":["Ph9nP6C5qx","IWmyXbctLI","rJVOvQCfKK","megm06wKyl","T2fj7uvVaJ","2DlMacCsIx","oacrs7FA3X","Qy55tPpLXF","W4YGzv6Whe","COABgblf1C","XhwjNDsVaA","dWAJyo7jo9","mp7IySMOzn","g55IO6H4Gj","NTOWxs364D"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","k8jYdgA6NY","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1754","layer":4},{"info":"compute unary expreesion, input=1754, 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=1410","layer":4},{"info":"number node, value=2768","layer":4},{"info":"compute binary expreesion, left_input=1410, right_input=2768, op_id = T2fj7uvVaJ binary_op_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 = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=0","layer":2},{"info":"number node, value=4668","layer":4},{"info":"number node, value=7479","layer":4},{"info":"compute binary expreesion, left_input=4668, right_input=7479, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=9212","layer":3},{"info":"number node, value=8109","layer":4},{"info":"number node, value=5321","layer":4},{"info":"compute binary expreesion, left_input=8109, right_input=5321, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=2566","layer":3},{"info":"compute binary expreesion, left_input=9212, right_input=2566, 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 = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":1},{"info":"number node, value=1009","layer":4},{"info":"number node, value=4909","layer":4},{"info":"compute binary expreesion, left_input=1009, right_input=4909, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=1032","layer":4},{"info":"number node, value=5793","layer":4},{"info":"compute binary expreesion, left_input=1032, right_input=5793, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":2},{"info":"number node, value=3477","layer":4},{"info":"number node, value=4705","layer":4},{"info":"compute binary expreesion, left_input=3477, right_input=4705, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=16364","layer":3},{"info":"number node, value=5180","layer":4},{"info":"number node, value=1512","layer":4},{"info":"compute binary expreesion, left_input=5180, right_input=1512, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-6813","layer":3},{"info":"compute binary expreesion, left_input=16364, right_input=-6813, 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 = W4YGzv6Whe 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":13,"result_base":13,"text":"((⨈⫕⪎⋱⫍A4C)⨎⪎⋱⫍846⋓⪎⋱⫍134C)⪮%⊝(⪎⋱⫍2181⪘⫢⪎⋱⫍3534⩨⪎⋱⫍38CA⋥≓≎⪎⋱⫍2564)≧⫂∧((⪎⋱⫍5C8/⪎⋱⫍2308)⊭↱⪎⋱⫍615⪢⪎⋱⫍2838+(⪎⋱⫍1776⨸⪁⪎⋱⫍21AC)⇷(⪎⋱⫍2486⩚⊴⇥⪎⋱⫍8C4))=NaN","reverse_text":"NaN=((⨈⫕⪎⋱⫍A4C)⨎⪎⋱⫍846⋓⪎⋱⫍134C)⪮%⊝(⪎⋱⫍2181⪘⫢⪎⋱⫍3534⩨⪎⋱⫍38CA⋥≓≎⪎⋱⫍2564)≧⫂∧((⪎⋱⫍5C8/⪎⋱⫍2308)⊭↱⪎⋱⫍615⪢⪎⋱⫍2838+(⪎⋱⫍1776⨸⪁⪎⋱⫍21AC)⇷(⪎⋱⫍2486⩚⊴⇥⪎⋱⫍8C4))","cot":[{"info":"⨈⫕⪎⋱⫍A4C=⪎⋱⫍-18","layer":3},{"info":"⪎⋱⫍846⋓⪎⋱⫍134C=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍-18⨎⪎⋱⫍0=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍2181⪘⫢⪎⋱⫍3534=⪎⋱⫍4268","layer":3},{"info":"⪎⋱⫍38CA⋥≓≎⪎⋱⫍2564=⪎⋱⫍1225","layer":3},{"info":"⪎⋱⫍4268⩨⪎⋱⫍1225=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍0⪮%⊝⪎⋱⫍0=NaN","layer":1},{"info":"⪎⋱⫍5C8/⪎⋱⫍2308=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍615⪢⪎⋱⫍2838=NaN","layer":3},{"info":"⪎⋱⫍0⊭↱NaN=NaN","layer":2},{"info":"⪎⋱⫍1776⨸⪁⪎⋱⫍21AC=⪎⋱⫍75AA","layer":3},{"info":"⪎⋱⫍2486⩚⊴⇥⪎⋱⫍8C4=⪎⋱⫍-3141","layer":3},{"info":"⪎⋱⫍75AA⇷⪎⋱⫍-3141=NaN","layer":2},{"info":"NaN+NaN=NaN","layer":1},{"info":"NaN≧⫂∧NaN=NaN","layer":0}]}
{"id":875,"expression_no_base_symbol":"(($4926$⊭↱$1316$⪒$5377$⨟⋌⩍$5104$)⨰($5623$⇷$1148$⩷∴$1133$⨟⋌⩍$5607$))⪮%⊝(($2188$⫡⨏$1600$)⪒$3253$⨪↰⇹$4075$+(∥⊫$3064$⨳⩥⨓$4039$))","expression":"((⪎⋱⫍231C⊭↱⪎⋱⫍7A3⪒⪎⋱⫍25A8⨟⋌⩍⪎⋱⫍2428)⨰(⪎⋱⫍2737⇷⪎⋱⫍6A4⩷∴⪎⋱⫍692⨟⋌⩍⪎⋱⫍2724))⪮%⊝((⪎⋱⫍CC4⫡⨏⪎⋱⫍961)⪒⪎⋱⫍1633⨪↰⇹⪎⋱⫍1B16+(∥⊫⪎⋱⫍1519⨳⩥⨓⪎⋱⫍1AB9))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":82031,"operation_count":14,"complexity_ratio":5859.357142857143,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":4926,"base":13},"right_expr":{"type":"numeric_atoms","value":1316,"base":13}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":5377,"base":13},"right_expr":{"type":"numeric_atoms","value":5104,"base":13}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":5623,"base":13},"right_expr":{"type":"numeric_atoms","value":1148,"base":13}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1133,"base":13},"right_expr":{"type":"numeric_atoms","value":5607,"base":13}}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2188,"base":13},"right_expr":{"type":"numeric_atoms","value":1600,"base":13}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":3253,"base":13},"right_expr":{"type":"numeric_atoms","value":4075,"base":13}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":3064,"base":13},"right_expr":{"type":"numeric_atoms","value":4039,"base":13}}}}},"used_operators":["IWmyXbctLI","eewbuw0ToL","f6k1SAg4EE","COABgblf1C","rGHVDoGpnC","9FxExcQeMw","mp7IySMOzn","W4YGzv6Whe","QMFrweE19q","tmPS8pqC7x","P8v4zCKN1o","nCS4ZIUYfx"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","rysDP5nf3Z","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4926","layer":4},{"info":"number node, value=1316","layer":4},{"info":"compute binary expreesion, left_input=4926, right_input=1316, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-7215","layer":3},{"info":"number node, value=5377","layer":4},{"info":"number node, value=5104","layer":4},{"info":"compute binary expreesion, left_input=5377, right_input=5104, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=-7215, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":2},{"info":"number node, value=5623","layer":4},{"info":"number node, value=1148","layer":4},{"info":"compute binary expreesion, left_input=5623, right_input=1148, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2296","layer":3},{"info":"number node, value=1133","layer":4},{"info":"number node, value=5607","layer":4},{"info":"compute binary expreesion, left_input=1133, right_input=5607, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=2296, right_input=nan, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":1},{"info":"number node, value=2188","layer":4},{"info":"number node, value=1600","layer":4},{"info":"compute binary expreesion, left_input=2188, right_input=1600, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=14923","layer":3},{"info":"number node, value=3253","layer":4},{"info":"number node, value=4075","layer":4},{"info":"compute binary expreesion, left_input=3253, right_input=4075, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=3253","layer":3},{"info":"compute binary expreesion, left_input=14923, right_input=3253, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-18176","layer":2},{"info":"number node, value=3064","layer":4},{"info":"number node, value=4039","layer":4},{"info":"compute binary expreesion, left_input=3064, right_input=4039, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=975","layer":3},{"info":"compute unary expreesion, input=975, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=1843","layer":2},{"info":"compute binary expreesion, left_input=-18176, right_input=1843, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-16333","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-16333, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍231C⊭↱⪎⋱⫍7A3⪒⪎⋱⫍25A8⨟⋌⩍⪎⋱⫍2428)⨰(⪎⋱⫍2737⇷⪎⋱⫍6A4⩷∴⪎⋱⫍692⨟⋌⩍⪎⋱⫍2724))⪮%⊝((⪎⋱⫍CC4⫡⨏⪎⋱⫍961)⪒⪎⋱⫍1633⨪↰⇹⪎⋱⫍1B16+(∥⊫⪎⋱⫍1519⨳⩥⨓⪎⋱⫍1AB9))=NaN","reverse_text":"NaN=((⪎⋱⫍231C⊭↱⪎⋱⫍7A3⪒⪎⋱⫍25A8⨟⋌⩍⪎⋱⫍2428)⨰(⪎⋱⫍2737⇷⪎⋱⫍6A4⩷∴⪎⋱⫍692⨟⋌⩍⪎⋱⫍2724))⪮%⊝((⪎⋱⫍CC4⫡⨏⪎⋱⫍961)⪒⪎⋱⫍1633⨪↰⇹⪎⋱⫍1B16+(∥⊫⪎⋱⫍1519⨳⩥⨓⪎⋱⫍1AB9))","cot":[{"info":"⪎⋱⫍231C⊭↱⪎⋱⫍7A3=⪎⋱⫍-3390","layer":3},{"info":"⪎⋱⫍25A8⨟⋌⩍⪎⋱⫍2428=NaN","layer":3},{"info":"⪎⋱⫍-3390⪒NaN=NaN","layer":2},{"info":"⪎⋱⫍2737⇷⪎⋱⫍6A4=⪎⋱⫍1078","layer":3},{"info":"⪎⋱⫍692⨟⋌⩍⪎⋱⫍2724=NaN","layer":3},{"info":"⪎⋱⫍1078⩷∴NaN=NaN","layer":2},{"info":"NaN⨰NaN=NaN","layer":1},{"info":"⪎⋱⫍CC4⫡⨏⪎⋱⫍961=⪎⋱⫍6A3C","layer":3},{"info":"⪎⋱⫍1633⨪↰⇹⪎⋱⫍1B16=⪎⋱⫍1633","layer":3},{"info":"⪎⋱⫍6A3C⪒⪎⋱⫍1633=⪎⋱⫍-8372","layer":2},{"info":"⪎⋱⫍1519⨳⩥⨓⪎⋱⫍1AB9=⪎⋱⫍5A0","layer":3},{"info":"∥⊫⪎⋱⫍5A0=⪎⋱⫍ABA","layer":2},{"info":"⪎⋱⫍-8372+⪎⋱⫍ABA=⪎⋱⫍-7585","layer":1},{"info":"NaN⪮%⊝⪎⋱⫍-7585=NaN","layer":0}]}
{"id":876,"expression_no_base_symbol":"(⫓⪴($2894$⩚⊴⇥$5764$⊉≛↸$2335$≧⫂∧$2530$))≎⊠⪸(↥$2348$⋓$3144$)⨰($8439$⪐)↬($1073$/$1763$)","expression":"(⫓⪴(⪎⋱⫍1418⩚⊴⇥⪎⋱⫍2815⊉≛↸⪎⋱⫍10A8≧⫂∧⪎⋱⫍11C8))≎⊠⪸(↥⪎⋱⫍10B8⋓⪎⋱⫍157B)⨰(⪎⋱⫍3AC2⪐)↬(⪎⋱⫍647/⪎⋱⫍A58)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2100,"operation_count":11,"complexity_ratio":190.9090909090909,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2894,"base":13},"right_expr":{"type":"numeric_atoms","value":5764,"base":13}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2335,"base":13},"right_expr":{"type":"numeric_atoms","value":2530,"base":13}}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2348,"base":13},"right_expr":{"type":"numeric_atoms","value":3144,"base":13}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":8439,"base":13}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1073,"base":13},"right_expr":{"type":"numeric_atoms","value":1763,"base":13}}}}},"used_operators":["bJkvcejdHO","eLxqMNBOBk","DZ8iAZOCBD","NTOWxs364D","Ph9nP6C5qx","eewbuw0ToL","A8NUZmVepG","T2fj7uvVaJ","B5M0gjZbta","eH2TOUuTDT","XhwjNDsVaA"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"⪎⋱⫍52","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2894","layer":4},{"info":"number node, value=5764","layer":4},{"info":"compute binary expreesion, left_input=2894, right_input=5764, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-8779","layer":3},{"info":"number node, value=2335","layer":4},{"info":"number node, value=2530","layer":4},{"info":"compute binary expreesion, left_input=2335, right_input=2530, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2057","layer":3},{"info":"compute binary expreesion, left_input=-8779, right_input=2057, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=-2057","layer":2},{"info":"compute unary expreesion, input=-2057, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=4231249","layer":1},{"info":"number node, value=2348","layer":4},{"info":"number node, value=3144","layer":4},{"info":"compute binary expreesion, left_input=2348, right_input=3144, op_id = T2fj7uvVaJ binary_op_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 = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=0","layer":2},{"info":"number node, value=8439","layer":4},{"info":"compute unary expreesion, input=8439, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=16878","layer":3},{"info":"number node, value=1073","layer":4},{"info":"number node, value=1763","layer":4},{"info":"compute binary expreesion, left_input=1073, right_input=1763, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute binary expreesion, left_input=16878, 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 = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=4231249, 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":13,"result_base":13,"text":"(⫓⪴(⪎⋱⫍1418⩚⊴⇥⪎⋱⫍2815⊉≛↸⪎⋱⫍10A8≧⫂∧⪎⋱⫍11C8))≎⊠⪸(↥⪎⋱⫍10B8⋓⪎⋱⫍157B)⨰(⪎⋱⫍3AC2⪐)↬(⪎⋱⫍647/⪎⋱⫍A58)=⪎⋱⫍52","reverse_text":"⪎⋱⫍52=(⫓⪴(⪎⋱⫍1418⩚⊴⇥⪎⋱⫍2815⊉≛↸⪎⋱⫍10A8≧⫂∧⪎⋱⫍11C8))≎⊠⪸(↥⪎⋱⫍10B8⋓⪎⋱⫍157B)⨰(⪎⋱⫍3AC2⪐)↬(⪎⋱⫍647/⪎⋱⫍A58)","cot":[{"info":"⪎⋱⫍1418⩚⊴⇥⪎⋱⫍2815=⪎⋱⫍-3CC4","layer":3},{"info":"⪎⋱⫍10A8≧⫂∧⪎⋱⫍11C8=⪎⋱⫍C23","layer":3},{"info":"⪎⋱⫍-3CC4⊉≛↸⪎⋱⫍C23=⪎⋱⫍-C23","layer":2},{"info":"⫓⪴⪎⋱⫍-C23=⪎⋱⫍B51BC9","layer":1},{"info":"⪎⋱⫍10B8⋓⪎⋱⫍157B=⪎⋱⫍0","layer":3},{"info":"↥⪎⋱⫍0=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍3AC2⪐=⪎⋱⫍78B4","layer":3},{"info":"⪎⋱⫍647/⪎⋱⫍A58=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍78B4↬⪎⋱⫍0=NaN","layer":2},{"info":"⪎⋱⫍0⨰NaN=NaN","layer":1},{"info":"⪎⋱⫍B51BC9≎⊠⪸NaN=⪎⋱⫍52","layer":0}]}
{"id":877,"expression_no_base_symbol":"↯⪼(∥⊫(↥$8000$⇷$4253$))","expression":"↯⪼(∥⊫(↥⪎⋱⫍3845⇷⪎⋱⫍1C22))","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":112207,"operation_count":4,"complexity_ratio":28051.75,"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":8000,"base":13},"right_expr":{"type":"numeric_atoms","value":4253,"base":13}}}}},"used_operators":["8jW3W4yZS5","P8v4zCKN1o","A8NUZmVepG","mp7IySMOzn"],"dependent_operators":["eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"⪎⋱⫍-18","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=8000","layer":4},{"info":"number node, value=4253","layer":4},{"info":"compute binary expreesion, left_input=8000, right_input=4253, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=8506","layer":3},{"info":"compute unary expreesion, input=8506, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=40","layer":2},{"info":"compute unary expreesion, input=40, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=908","layer":1},{"info":"compute unary expreesion, input=908, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":0}],"base":13,"result_base":13,"text":"↯⪼(∥⊫(↥⪎⋱⫍3845⇷⪎⋱⫍1C22))=⪎⋱⫍-18","reverse_text":"⪎⋱⫍-18=↯⪼(∥⊫(↥⪎⋱⫍3845⇷⪎⋱⫍1C22))","cot":[{"info":"⪎⋱⫍3845⇷⪎⋱⫍1C22=⪎⋱⫍3B44","layer":3},{"info":"↥⪎⋱⫍3B44=⪎⋱⫍31","layer":2},{"info":"∥⊫⪎⋱⫍31=⪎⋱⫍54B","layer":1},{"info":"↯⪼⪎⋱⫍54B=⪎⋱⫍-18","layer":0}]}
{"id":878,"expression_no_base_symbol":"((∂$4615$)⨸⪁($1330$⪠⩆⊳)⨸⪁($7455$-$7192$)⨳⩥⨓$1501$⪮%⊝$2037$)⪄((⇁⨣⪵$3134$)⫌⩹⨱)⋝⋈⪟($1014$⨳⩥⨓$2732$⪨≂$4472$%$2098$)","expression":"((∂⪎⋱⫍2140)⨸⪁(⪎⋱⫍7B4⪠⩆⊳)⨸⪁(⪎⋱⫍3516-⪎⋱⫍3373)⨳⩥⨓⪎⋱⫍8B6⪮%⊝⪎⋱⫍C09)⪄((⇁⨣⪵⪎⋱⫍1571)⫌⩹⨱)⋝⋈⪟(⪎⋱⫍600⨳⩥⨓⪎⋱⫍1322⪨≂⪎⋱⫍2060%⪎⋱⫍C55)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":68,"operation_count":14,"complexity_ratio":4.857142857142857,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":4615,"base":13}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":1330,"base":13}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":7455,"base":13},"right_expr":{"type":"numeric_atoms","value":7192,"base":13}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1501,"base":13},"right_expr":{"type":"numeric_atoms","value":2037,"base":13}}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":3134,"base":13}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1014,"base":13},"right_expr":{"type":"numeric_atoms","value":2732,"base":13}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":4472,"base":13},"right_expr":{"type":"numeric_atoms","value":2098,"base":13}}}}},"used_operators":["SUmda5xLS4","g55IO6H4Gj","Uaa54Peajs","JLbD19bQDL","nCS4ZIUYfx","rysDP5nf3Z","IWmyXbctLI","2DDjHMKMc0","EBcxylXtPf","inkyxCbjAn","sdazOOVcIp","k8jYdgA6NY"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","B5M0gjZbta","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z"],"result":"⪎⋱⫍1A71","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4615","layer":4},{"info":"compute unary expreesion, input=4615, 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=1330","layer":4},{"info":"compute unary expreesion, input=1330, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":2},{"info":"number node, value=7455","layer":4},{"info":"number node, value=7192","layer":4},{"info":"compute binary expreesion, left_input=7455, right_input=7192, op_id = rysDP5nf3Z binary_op_definition= 'None', output=263","layer":3},{"info":"number node, value=1501","layer":4},{"info":"number node, value=2037","layer":4},{"info":"compute binary expreesion, left_input=1501, right_input=2037, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3318","layer":3},{"info":"compute binary expreesion, left_input=263, right_input=3318, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=3055","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=3055, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":1},{"info":"number node, value=3134","layer":4},{"info":"compute unary expreesion, input=3134, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬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":"number node, value=1014","layer":4},{"info":"number node, value=2732","layer":4},{"info":"compute binary expreesion, left_input=1014, right_input=2732, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=1718","layer":3},{"info":"number node, value=4472","layer":4},{"info":"number node, value=2098","layer":4},{"info":"compute binary expreesion, left_input=4472, right_input=2098, op_id = k8jYdgA6NY binary_op_definition= 'None', output=276","layer":3},{"info":"compute binary expreesion, left_input=1718, right_input=276, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=2986","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=2986, 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 = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":0}],"base":13,"result_base":13,"text":"((∂⪎⋱⫍2140)⨸⪁(⪎⋱⫍7B4⪠⩆⊳)⨸⪁(⪎⋱⫍3516-⪎⋱⫍3373)⨳⩥⨓⪎⋱⫍8B6⪮%⊝⪎⋱⫍C09)⪄((⇁⨣⪵⪎⋱⫍1571)⫌⩹⨱)⋝⋈⪟(⪎⋱⫍600⨳⩥⨓⪎⋱⫍1322⪨≂⪎⋱⫍2060%⪎⋱⫍C55)=⪎⋱⫍1A71","reverse_text":"⪎⋱⫍1A71=((∂⪎⋱⫍2140)⨸⪁(⪎⋱⫍7B4⪠⩆⊳)⨸⪁(⪎⋱⫍3516-⪎⋱⫍3373)⨳⩥⨓⪎⋱⫍8B6⪮%⊝⪎⋱⫍C09)⪄((⇁⨣⪵⪎⋱⫍1571)⫌⩹⨱)⋝⋈⪟(⪎⋱⫍600⨳⩥⨓⪎⋱⫍1322⪨≂⪎⋱⫍2060%⪎⋱⫍C55)","cot":[{"info":"∂⪎⋱⫍2140=NaN","layer":3},{"info":"⪎⋱⫍7B4⪠⩆⊳=⪎⋱⫍0","layer":3},{"info":"NaN⨸⪁⪎⋱⫍0=NaN","layer":2},{"info":"⪎⋱⫍3516-⪎⋱⫍3373=⪎⋱⫍173","layer":3},{"info":"⪎⋱⫍8B6⪮%⊝⪎⋱⫍C09=⪎⋱⫍1683","layer":3},{"info":"⪎⋱⫍173⨳⩥⨓⪎⋱⫍1683=⪎⋱⫍1510","layer":2},{"info":"NaN⨸⪁⪎⋱⫍1510=NaN","layer":1},{"info":"⇁⨣⪵⪎⋱⫍1571=NaN","layer":3},{"info":"NaN⫌⩹⨱=NaN","layer":2},{"info":"⪎⋱⫍600⨳⩥⨓⪎⋱⫍1322=⪎⋱⫍A22","layer":3},{"info":"⪎⋱⫍2060%⪎⋱⫍C55=⪎⋱⫍183","layer":3},{"info":"⪎⋱⫍A22⪨≂⪎⋱⫍183=⪎⋱⫍1489","layer":2},{"info":"NaN⋝⋈⪟⪎⋱⫍1489=NaN","layer":1},{"info":"NaN⪄NaN=⪎⋱⫍1A71","layer":0}]}
{"id":879,"expression_no_base_symbol":"↩(⊄⩳↩(($3453$⩨$3462$)∑⇟⊟(⫓⪴$1207$)))","expression":"↩(⊄⩳↩((⪎⋱⫍1758⩨⪎⋱⫍1764)∑⇟⊟(⫓⪴⪎⋱⫍71B)))","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":1234,"operation_count":5,"complexity_ratio":246.8,"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":3453,"base":13},"right_expr":{"type":"numeric_atoms","value":3462,"base":13}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":1207,"base":13}}}}},"used_operators":["jLgFTUHLKL","8w2t5hMYqp","U7g4x0WXJJ","2DlMacCsIx","eLxqMNBOBk"],"dependent_operators":["sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3453","layer":4},{"info":"number node, value=3462","layer":4},{"info":"compute binary expreesion, left_input=3453, right_input=3462, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":3},{"info":"number node, value=1207","layer":4},{"info":"compute unary expreesion, input=1207, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=1456849","layer":3},{"info":"compute binary expreesion, left_input=-3, right_input=1456849, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=nan","layer":1},{"info":"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":13,"result_base":13,"text":"↩(⊄⩳↩((⪎⋱⫍1758⩨⪎⋱⫍1764)∑⇟⊟(⫓⪴⪎⋱⫍71B)))=NaN","reverse_text":"NaN=↩(⊄⩳↩((⪎⋱⫍1758⩨⪎⋱⫍1764)∑⇟⊟(⫓⪴⪎⋱⫍71B)))","cot":[{"info":"⪎⋱⫍1758⩨⪎⋱⫍1764=⪎⋱⫍-3","layer":3},{"info":"⫓⪴⪎⋱⫍71B=⪎⋱⫍3C0154","layer":3},{"info":"⪎⋱⫍-3∑⇟⊟⪎⋱⫍3C0154=NaN","layer":2},{"info":"⊄⩳↩NaN=NaN","layer":1},{"info":"↩NaN=NaN","layer":0}]}
{"id":880,"expression_no_base_symbol":"($2492$∼$5235$⨳⩥⨓($1918$⪐)⫡⨏(∥⊫$4133$)⇼⇔∾(⊥$3340$))⨳⩥⨓(⨵≀≌$1970$⨓$3816$⨓$1261$⨟⋌⩍$1407$)","expression":"(⪎⋱⫍1199∼⪎⋱⫍24C9⨳⩥⨓(⪎⋱⫍B47⪐)⫡⨏(∥⊫⪎⋱⫍1B5C)⇼⇔∾(⊥⪎⋱⫍169C))⨳⩥⨓(⨵≀≌⪎⋱⫍B87⨓⪎⋱⫍1977⨓⪎⋱⫍760⨟⋌⩍⪎⋱⫍843)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3905,"operation_count":12,"complexity_ratio":325.4166666666667,"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":2492,"base":13},"right_expr":{"type":"numeric_atoms","value":5235,"base":13}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":1918,"base":13}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":4133,"base":13}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":3340,"base":13}}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1970,"base":13},"right_expr":{"type":"numeric_atoms","value":3816,"base":13}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1261,"base":13},"right_expr":{"type":"numeric_atoms","value":1407,"base":13}}}}},"used_operators":["nCS4ZIUYfx","QMFrweE19q","DyGG3AbaNP","eH2TOUuTDT","tifHPKVTfV","P8v4zCKN1o","Q3PJZHRvZv","srAu1WTS94","3ViojmjbAp","rGHVDoGpnC"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","fu6greOZ01","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2492","layer":4},{"info":"number node, value=5235","layer":4},{"info":"compute binary expreesion, left_input=2492, right_input=5235, 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=1918","layer":4},{"info":"compute unary expreesion, input=1918, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=3836","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3836, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":2},{"info":"number node, value=4133","layer":4},{"info":"compute unary expreesion, input=4133, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=5001","layer":3},{"info":"number node, value=3340","layer":4},{"info":"compute unary expreesion, input=3340, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=5001, 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 = 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=1970","layer":4},{"info":"number node, value=3816","layer":4},{"info":"compute binary expreesion, left_input=1970, right_input=3816, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3819","layer":3},{"info":"number node, value=1261","layer":4},{"info":"number node, value=1407","layer":4},{"info":"compute binary expreesion, left_input=1261, right_input=1407, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=-3819, 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 = 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 = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍1199∼⪎⋱⫍24C9⨳⩥⨓(⪎⋱⫍B47⪐)⫡⨏(∥⊫⪎⋱⫍1B5C)⇼⇔∾(⊥⪎⋱⫍169C))⨳⩥⨓(⨵≀≌⪎⋱⫍B87⨓⪎⋱⫍1977⨓⪎⋱⫍760⨟⋌⩍⪎⋱⫍843)=NaN","reverse_text":"NaN=(⪎⋱⫍1199∼⪎⋱⫍24C9⨳⩥⨓(⪎⋱⫍B47⪐)⫡⨏(∥⊫⪎⋱⫍1B5C)⇼⇔∾(⊥⪎⋱⫍169C))⨳⩥⨓(⨵≀≌⪎⋱⫍B87⨓⪎⋱⫍1977⨓⪎⋱⫍760⨟⋌⩍⪎⋱⫍843)","cot":[{"info":"⪎⋱⫍1199∼⪎⋱⫍24C9=NaN","layer":3},{"info":"⪎⋱⫍B47⪐=⪎⋱⫍1991","layer":3},{"info":"NaN⨳⩥⨓⪎⋱⫍1991=NaN","layer":2},{"info":"∥⊫⪎⋱⫍1B5C=⪎⋱⫍2379","layer":3},{"info":"⊥⪎⋱⫍169C=NaN","layer":3},{"info":"⪎⋱⫍2379⇼⇔∾NaN=NaN","layer":2},{"info":"NaN⫡⨏NaN=NaN","layer":1},{"info":"⪎⋱⫍B87⨓⪎⋱⫍1977=⪎⋱⫍-197A","layer":3},{"info":"⪎⋱⫍760⨟⋌⩍⪎⋱⫍843=NaN","layer":3},{"info":"⪎⋱⫍-197A⨓NaN=NaN","layer":2},{"info":"⨵≀≌NaN=NaN","layer":1},{"info":"NaN⨳⩥⨓NaN=NaN","layer":0}]}
{"id":881,"expression_no_base_symbol":"⪝⪂⫅((↩$8171$)⨪↰⇹($2049$⪠⩆⊳))∼($4631$⪮%⊝$2432$⨪↰⇹($1580$≧⫂∧$3781$))","expression":"⪝⪂⫅((↩⪎⋱⫍3947)⨪↰⇹(⪎⋱⫍C18⪠⩆⊳))∼(⪎⋱⫍2153⪮%⊝⪎⋱⫍1151⨪↰⇹(⪎⋱⫍947≧⫂∧⪎⋱⫍194B))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":73431,"operation_count":8,"complexity_ratio":9178.875,"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":8171,"base":13}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":2049,"base":13}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":4631,"base":13},"right_expr":{"type":"numeric_atoms","value":2432,"base":13}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1580,"base":13},"right_expr":{"type":"numeric_atoms","value":3781,"base":13}}}}},"used_operators":["XTarYq4gQB","DyGG3AbaNP","tmPS8pqC7x","jLgFTUHLKL","JLbD19bQDL","IWmyXbctLI","Ph9nP6C5qx"],"dependent_operators":["9HNa5Wba9A","8w2t5hMYqp","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rJVOvQCfKK","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=8171","layer":4},{"info":"compute unary expreesion, input=8171, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-62588","layer":3},{"info":"number node, value=2049","layer":4},{"info":"compute unary expreesion, input=2049, 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=-62588, 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=-62588","layer":2},{"info":"number node, value=4631","layer":4},{"info":"number node, value=2432","layer":4},{"info":"compute binary expreesion, left_input=4631, right_input=2432, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=9578","layer":3},{"info":"number node, value=1580","layer":4},{"info":"number node, value=3781","layer":4},{"info":"compute binary expreesion, left_input=1580, right_input=3781, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=3308","layer":3},{"info":"compute binary expreesion, left_input=9578, right_input=3308, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=9578","layer":2},{"info":"compute binary expreesion, left_input=-62588, right_input=9578, 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 = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⪝⪂⫅((↩⪎⋱⫍3947)⨪↰⇹(⪎⋱⫍C18⪠⩆⊳))∼(⪎⋱⫍2153⪮%⊝⪎⋱⫍1151⨪↰⇹(⪎⋱⫍947≧⫂∧⪎⋱⫍194B))=NaN","reverse_text":"NaN=⪝⪂⫅((↩⪎⋱⫍3947)⨪↰⇹(⪎⋱⫍C18⪠⩆⊳))∼(⪎⋱⫍2153⪮%⊝⪎⋱⫍1151⨪↰⇹(⪎⋱⫍947≧⫂∧⪎⋱⫍194B))","cot":[{"info":"↩⪎⋱⫍3947=⪎⋱⫍-22646","layer":3},{"info":"⪎⋱⫍C18⪠⩆⊳=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍-22646⨪↰⇹⪎⋱⫍0=⪎⋱⫍-22646","layer":2},{"info":"⪎⋱⫍2153⪮%⊝⪎⋱⫍1151=⪎⋱⫍448A","layer":3},{"info":"⪎⋱⫍947≧⫂∧⪎⋱⫍194B=⪎⋱⫍1676","layer":3},{"info":"⪎⋱⫍448A⨪↰⇹⪎⋱⫍1676=⪎⋱⫍448A","layer":2},{"info":"⪎⋱⫍-22646∼⪎⋱⫍448A=NaN","layer":1},{"info":"⪝⪂⫅NaN=NaN","layer":0}]}
{"id":882,"expression_no_base_symbol":"-(($2517$⫩⊇)⫩⊇)⪛((⪲⇎$1314$)⪨≂($1419$↪⪝))","expression":"-((⪎⋱⫍11B8⫩⊇)⫩⊇)⪛((⪲⇎⪎⋱⫍7A1)⪨≂(⪎⋱⫍852↪⪝))","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":716,"operation_count":7,"complexity_ratio":102.28571428571429,"tree":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":2517,"base":13}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1314,"base":13}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":1419,"base":13}}}}},"used_operators":["t8gj7n24qd","uFcxV4UQCh","BjRHVeLaeN","sdazOOVcIp","XPYlsWDdGa","l07mrZUIn9"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","2DDjHMKMc0"],"result":"⪎⋱⫍29C81C76","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2517","layer":4},{"info":"compute unary expreesion, input=2517, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-2475","layer":3},{"info":"compute unary expreesion, input=-2475, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=2517","layer":2},{"info":"number node, value=1314","layer":4},{"info":"compute unary expreesion, input=1314, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=2628","layer":3},{"info":"number node, value=1419","layer":4},{"info":"compute unary expreesion, input=1419, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=86817258","layer":3},{"info":"compute binary expreesion, left_input=2628, right_input=86817258, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-173629158","layer":2},{"info":"compute binary expreesion, left_input=2517, right_input=-173629158, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=-173626641","layer":1},{"info":"compute unary expreesion, input=-173626641, op_id = t8gj7n24qd, unary_op_definition = 'None', output=173626641","layer":0}],"base":13,"result_base":13,"text":"-((⪎⋱⫍11B8⫩⊇)⫩⊇)⪛((⪲⇎⪎⋱⫍7A1)⪨≂(⪎⋱⫍852↪⪝))=⪎⋱⫍29C81C76","reverse_text":"⪎⋱⫍29C81C76=-((⪎⋱⫍11B8⫩⊇)⫩⊇)⪛((⪲⇎⪎⋱⫍7A1)⪨≂(⪎⋱⫍852↪⪝))","cot":[{"info":"⪎⋱⫍11B8⫩⊇=⪎⋱⫍-1185","layer":3},{"info":"⪎⋱⫍-1185⫩⊇=⪎⋱⫍11B8","layer":2},{"info":"⪲⇎⪎⋱⫍7A1=⪎⋱⫍1272","layer":3},{"info":"⪎⋱⫍852↪⪝=⪎⋱⫍14CA9378","layer":3},{"info":"⪎⋱⫍1272⪨≂⪎⋱⫍14CA9378=⪎⋱⫍-29C83161","layer":2},{"info":"⪎⋱⫍11B8⪛⪎⋱⫍-29C83161=⪎⋱⫍-29C81C76","layer":1},{"info":"-⪎⋱⫍-29C81C76=⪎⋱⫍29C81C76","layer":0}]}
{"id":883,"expression_no_base_symbol":"($1151$⪮%⊝$1107$⇼⇔∾(⨵≀≌$1570$))⋓($1153$⩷∴$1481$)⨓($3076$⋷$4764$)+($2721$≭$2702$≋⫹)*(↔$1084$)⨓($4984$⋥≓≎$6570$)","expression":"(⪎⋱⫍6A7⪮%⊝⪎⋱⫍672⇼⇔∾(⨵≀≌⪎⋱⫍93A))⋓(⪎⋱⫍6A9⩷∴⪎⋱⫍89C)⨓(⪎⋱⫍1528⋷⪎⋱⫍2226)+(⪎⋱⫍1314≭⪎⋱⫍12CB≋⫹)*(↔⪎⋱⫍655)⨓(⪎⋱⫍2365⋥≓≎⪎⋱⫍2CB5)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":14706,"operation_count":14,"complexity_ratio":1050.4285714285713,"tree":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1151,"base":13},"right_expr":{"type":"numeric_atoms","value":1107,"base":13}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1570,"base":13}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1153,"base":13},"right_expr":{"type":"numeric_atoms","value":1481,"base":13}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":3076,"base":13},"right_expr":{"type":"numeric_atoms","value":4764,"base":13}}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2721,"base":13},"right_expr":{"type":"numeric_atoms","value":2702,"base":13}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":1084,"base":13}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":4984,"base":13},"right_expr":{"type":"numeric_atoms","value":6570,"base":13}}}}},"used_operators":["W4YGzv6Whe","T2fj7uvVaJ","tifHPKVTfV","IWmyXbctLI","srAu1WTS94","3ViojmjbAp","9FxExcQeMw","23Mk6UjR3U","9HNa5Wba9A","N41Kp7NANJ","rxpJgHHUmx","ruOEQAzv1W","Qy55tPpLXF"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1151","layer":4},{"info":"number node, value=1107","layer":4},{"info":"compute binary expreesion, left_input=1151, right_input=1107, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=2618","layer":3},{"info":"number node, value=1570","layer":4},{"info":"compute unary expreesion, input=1570, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-4710","layer":3},{"info":"compute binary expreesion, left_input=2618, right_input=-4710, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-7328","layer":2},{"info":"number node, value=1153","layer":4},{"info":"number node, value=1481","layer":4},{"info":"compute binary expreesion, left_input=1153, right_input=1481, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-688","layer":3},{"info":"number node, value=3076","layer":4},{"info":"number node, value=4764","layer":4},{"info":"compute binary expreesion, left_input=3076, right_input=4764, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=6452","layer":3},{"info":"compute binary expreesion, left_input=-688, right_input=6452, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-6455","layer":2},{"info":"compute binary expreesion, left_input=-7328, right_input=-6455, op_id = T2fj7uvVaJ binary_op_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=2721","layer":4},{"info":"number node, value=2702","layer":4},{"info":"compute binary expreesion, left_input=2721, right_input=2702, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=1084","layer":4},{"info":"compute unary expreesion, input=1084, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-811","layer":3},{"info":"number node, value=4984","layer":4},{"info":"number node, value=6570","layer":4},{"info":"compute binary expreesion, left_input=4984, right_input=6570, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=8189","layer":3},{"info":"compute binary expreesion, left_input=-811, right_input=8189, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-8192","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-8192, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍6A7⪮%⊝⪎⋱⫍672⇼⇔∾(⨵≀≌⪎⋱⫍93A))⋓(⪎⋱⫍6A9⩷∴⪎⋱⫍89C)⨓(⪎⋱⫍1528⋷⪎⋱⫍2226)+(⪎⋱⫍1314≭⪎⋱⫍12CB≋⫹)*(↔⪎⋱⫍655)⨓(⪎⋱⫍2365⋥≓≎⪎⋱⫍2CB5)=NaN","reverse_text":"NaN=(⪎⋱⫍6A7⪮%⊝⪎⋱⫍672⇼⇔∾(⨵≀≌⪎⋱⫍93A))⋓(⪎⋱⫍6A9⩷∴⪎⋱⫍89C)⨓(⪎⋱⫍1528⋷⪎⋱⫍2226)+(⪎⋱⫍1314≭⪎⋱⫍12CB≋⫹)*(↔⪎⋱⫍655)⨓(⪎⋱⫍2365⋥≓≎⪎⋱⫍2CB5)","cot":[{"info":"⪎⋱⫍6A7⪮%⊝⪎⋱⫍672=⪎⋱⫍1265","layer":3},{"info":"⨵≀≌⪎⋱⫍93A=⪎⋱⫍-21B4","layer":3},{"info":"⪎⋱⫍1265⇼⇔∾⪎⋱⫍-21B4=⪎⋱⫍-3449","layer":2},{"info":"⪎⋱⫍6A9⩷∴⪎⋱⫍89C=⪎⋱⫍-40C","layer":3},{"info":"⪎⋱⫍1528⋷⪎⋱⫍2226=⪎⋱⫍2C24","layer":3},{"info":"⪎⋱⫍-40C⨓⪎⋱⫍2C24=⪎⋱⫍-2C27","layer":2},{"info":"⪎⋱⫍-3449⋓⪎⋱⫍-2C27=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍1314≭⪎⋱⫍12CB=NaN","layer":3},{"info":"NaN≋⫹=NaN","layer":2},{"info":"↔⪎⋱⫍655=⪎⋱⫍-4A5","layer":3},{"info":"⪎⋱⫍2365⋥≓≎⪎⋱⫍2CB5=⪎⋱⫍395C","layer":3},{"info":"⪎⋱⫍-4A5⨓⪎⋱⫍395C=⪎⋱⫍-3962","layer":2},{"info":"NaN*⪎⋱⫍-3962=NaN","layer":1},{"info":"⪎⋱⫍0+NaN=NaN","layer":0}]}
{"id":884,"expression_no_base_symbol":"($1770$⫥∨⫟$1033$⫥∨⫟$2251$∼$5091$)⨟⋌⩍(≦∁$2966$∑⇟⊟$3599$)/(⨵≀≌($1634$⨸⪁$4461$))⫸⊐(+⊝⨔$3556$)⨳⩥⨓(⨰⫟⨤$1368$)","expression":"(⪎⋱⫍A62⫥∨⫟⪎⋱⫍616⫥∨⫟⪎⋱⫍1042∼⪎⋱⫍2418)⨟⋌⩍(≦∁⪎⋱⫍1472∑⇟⊟⪎⋱⫍183B)/(⨵≀≌(⪎⋱⫍989⨸⪁⪎⋱⫍2052))⫸⊐(+⊝⨔⪎⋱⫍1807)⨳⩥⨓(⨰⫟⨤⪎⋱⫍813)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":5043,"operation_count":13,"complexity_ratio":387.9230769230769,"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":1770,"base":13},"right_expr":{"type":"numeric_atoms","value":1033,"base":13}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2251,"base":13},"right_expr":{"type":"numeric_atoms","value":5091,"base":13}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":2966,"base":13},"right_expr":{"type":"numeric_atoms","value":3599,"base":13}}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1634,"base":13},"right_expr":{"type":"numeric_atoms","value":4461,"base":13}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":3556,"base":13}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":1368,"base":13}}}}},"used_operators":["XhwjNDsVaA","rGHVDoGpnC","KYD54nUTWz","DyGG3AbaNP","9ICcGScMcE","U7g4x0WXJJ","mqXw5SEYmG","srAu1WTS94","g55IO6H4Gj","nCS4ZIUYfx","DhbWaqg5eL","Tw270M8GLb"],"dependent_operators":["rysDP5nf3Z","Tcnh7f0tEr","8HhzD0ZcuI","rGHVDoGpnC","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1770","layer":4},{"info":"number node, value=1033","layer":4},{"info":"compute binary expreesion, left_input=1770, right_input=1033, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=2251","layer":4},{"info":"number node, value=5091","layer":4},{"info":"compute binary expreesion, left_input=2251, right_input=5091, 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 = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=2966","layer":4},{"info":"number node, value=3599","layer":4},{"info":"compute binary expreesion, left_input=2966, right_input=3599, 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 = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=1634","layer":4},{"info":"number node, value=4461","layer":4},{"info":"compute binary expreesion, left_input=1634, right_input=4461, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=12190","layer":3},{"info":"compute unary expreesion, input=12190, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-36570","layer":2},{"info":"number node, value=3556","layer":4},{"info":"compute unary expreesion, input=3556, 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=1368","layer":4},{"info":"compute unary expreesion, input=1368, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1522, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-36570, right_input=nan, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=968","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=968, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍A62⫥∨⫟⪎⋱⫍616⫥∨⫟⪎⋱⫍1042∼⪎⋱⫍2418)⨟⋌⩍(≦∁⪎⋱⫍1472∑⇟⊟⪎⋱⫍183B)/(⨵≀≌(⪎⋱⫍989⨸⪁⪎⋱⫍2052))⫸⊐(+⊝⨔⪎⋱⫍1807)⨳⩥⨓(⨰⫟⨤⪎⋱⫍813)=NaN","reverse_text":"NaN=(⪎⋱⫍A62⫥∨⫟⪎⋱⫍616⫥∨⫟⪎⋱⫍1042∼⪎⋱⫍2418)⨟⋌⩍(≦∁⪎⋱⫍1472∑⇟⊟⪎⋱⫍183B)/(⨵≀≌(⪎⋱⫍989⨸⪁⪎⋱⫍2052))⫸⊐(+⊝⨔⪎⋱⫍1807)⨳⩥⨓(⨰⫟⨤⪎⋱⫍813)","cot":[{"info":"⪎⋱⫍A62⫥∨⫟⪎⋱⫍616=NaN","layer":3},{"info":"⪎⋱⫍1042∼⪎⋱⫍2418=NaN","layer":3},{"info":"NaN⫥∨⫟NaN=NaN","layer":2},{"info":"⪎⋱⫍1472∑⇟⊟⪎⋱⫍183B=NaN","layer":3},{"info":"≦∁NaN=NaN","layer":2},{"info":"NaN⨟⋌⩍NaN=NaN","layer":1},{"info":"⪎⋱⫍989⨸⪁⪎⋱⫍2052=⪎⋱⫍5719","layer":3},{"info":"⨵≀≌⪎⋱⫍5719=⪎⋱⫍-13851","layer":2},{"info":"+⊝⨔⪎⋱⫍1807=⪎⋱⫍901","layer":3},{"info":"⨰⫟⨤⪎⋱⫍813=NaN","layer":3},{"info":"⪎⋱⫍901⨳⩥⨓NaN=NaN","layer":2},{"info":"⪎⋱⫍-13851⫸⊐NaN=⪎⋱⫍596","layer":1},{"info":"NaN/⪎⋱⫍596=NaN","layer":0}]}
{"id":885,"expression_no_base_symbol":"((($5439$⪐)↙$8617$⨰$1303$)⫌⩹⨱)⩨((↔(↽≂$3397$))⪨≂(⫓⪴($1045$∲⫓$1616$)))","expression":"(((⪎⋱⫍2625⪐)↙⪎⋱⫍3BCB⨰⪎⋱⫍793)⫌⩹⨱)⩨((↔(↽≂⪎⋱⫍1714))⪨≂(⫓⪴(⪎⋱⫍625∲⫓⪎⋱⫍974)))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":7379,"operation_count":10,"complexity_ratio":737.9,"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":5439,"base":13}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":8617,"base":13},"right_expr":{"type":"numeric_atoms","value":1303,"base":13}}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":3397,"base":13}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1045,"base":13},"right_expr":{"type":"numeric_atoms","value":1616,"base":13}}}}},"used_operators":["2DlMacCsIx","EBcxylXtPf","yyfyN0ffXY","eH2TOUuTDT","eewbuw0ToL","sdazOOVcIp","ruOEQAzv1W","u6S6b8DprG","eLxqMNBOBk","i8ToyICDmI"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","rysDP5nf3Z","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5439","layer":4},{"info":"compute unary expreesion, input=5439, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=10878","layer":3},{"info":"number node, value=8617","layer":4},{"info":"number node, value=1303","layer":4},{"info":"compute binary expreesion, left_input=8617, right_input=1303, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=7324","layer":3},{"info":"compute binary expreesion, left_input=10878, right_input=7324, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-21972","layer":2},{"info":"compute unary expreesion, input=-21972, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=-42543","layer":1},{"info":"number node, value=3397","layer":4},{"info":"compute unary expreesion, input=3397, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-6794","layer":3},{"info":"compute unary expreesion, input=-6794, 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=1045","layer":4},{"info":"number node, value=1616","layer":4},{"info":"compute binary expreesion, left_input=1045, right_input=1616, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-134, 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=-166","layer":1},{"info":"compute binary expreesion, left_input=-42543, right_input=-166, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":0}],"base":13,"result_base":13,"text":"(((⪎⋱⫍2625⪐)↙⪎⋱⫍3BCB⨰⪎⋱⫍793)⫌⩹⨱)⩨((↔(↽≂⪎⋱⫍1714))⪨≂(⫓⪴(⪎⋱⫍625∲⫓⪎⋱⫍974)))=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=(((⪎⋱⫍2625⪐)↙⪎⋱⫍3BCB⨰⪎⋱⫍793)⫌⩹⨱)⩨((↔(↽≂⪎⋱⫍1714))⪨≂(⫓⪴(⪎⋱⫍625∲⫓⪎⋱⫍974)))","cot":[{"info":"⪎⋱⫍2625⪐=⪎⋱⫍4C4A","layer":3},{"info":"⪎⋱⫍3BCB⨰⪎⋱⫍793=⪎⋱⫍3445","layer":3},{"info":"⪎⋱⫍4C4A↙⪎⋱⫍3445=⪎⋱⫍-A002","layer":2},{"info":"⪎⋱⫍-A002⫌⩹⨱=⪎⋱⫍-16497","layer":1},{"info":"↽≂⪎⋱⫍1714=⪎⋱⫍-3128","layer":3},{"info":"↔⪎⋱⫍-3128=⪎⋱⫍-A4","layer":2},{"info":"⪎⋱⫍625∲⫓⪎⋱⫍974=⪎⋱⫍0","layer":3},{"info":"⫓⪴⪎⋱⫍0=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍-A4⪨≂⪎⋱⫍0=⪎⋱⫍-CA","layer":1},{"info":"⪎⋱⫍-16497⩨⪎⋱⫍-CA=⪎⋱⫍0","layer":0}]}
{"id":886,"expression_no_base_symbol":"(($6058$≧⫂∧$2803$)∑⇟⊟($4835$⩨$1050$)⨳⩥⨓$1322$↬$1678$+⇶⊼(⊙↵-$1286$))⩷∴((⨞⊢$4189$)⋳⪒(∥⊫$1665$))⪘⫢($4673$⨸⪁$3491$⨵⪆$5121$⊭↱$4588$)","expression":"((⪎⋱⫍29B0≧⫂∧⪎⋱⫍1378)∑⇟⊟(⪎⋱⫍227C⩨⪎⋱⫍62A)⨳⩥⨓⪎⋱⫍7A9↬⪎⋱⫍9C1+⇶⊼(⊙↵-⪎⋱⫍77C))⩷∴((⨞⊢⪎⋱⫍1BA3)⋳⪒(∥⊫⪎⋱⫍9B1))⪘⫢(⪎⋱⫍2186⨸⪁⪎⋱⫍1787⨵⪆⪎⋱⫍243C⊭↱⪎⋱⫍211C)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1381,"operation_count":15,"complexity_ratio":92.06666666666666,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":6058,"base":13},"right_expr":{"type":"numeric_atoms","value":2803,"base":13}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":4835,"base":13},"right_expr":{"type":"numeric_atoms","value":1050,"base":13}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1322,"base":13},"right_expr":{"type":"numeric_atoms","value":1678,"base":13}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1286,"base":13}}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":4189,"base":13}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":1665,"base":13}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":4673,"base":13},"right_expr":{"type":"numeric_atoms","value":3491,"base":13}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":5121,"base":13},"right_expr":{"type":"numeric_atoms","value":4588,"base":13}}}}},"used_operators":["9FxExcQeMw","nCS4ZIUYfx","U7g4x0WXJJ","Ph9nP6C5qx","2DlMacCsIx","TpPTUOHfaN","B5M0gjZbta","oWn0xqSxBt","oacrs7FA3X","12rbrZMWeM","xUOZtlo3hN","P8v4zCKN1o","2DQ55sFlQl","g55IO6H4Gj","COABgblf1C"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","AHs5Up7iyr","rGHVDoGpnC","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=6058","layer":4},{"info":"number node, value=2803","layer":4},{"info":"compute binary expreesion, left_input=6058, right_input=2803, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2330","layer":3},{"info":"number node, value=4835","layer":4},{"info":"number node, value=1050","layer":4},{"info":"compute binary expreesion, left_input=4835, right_input=1050, 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=2330, right_input=0, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=2330","layer":2},{"info":"number node, value=1322","layer":4},{"info":"number node, value=1678","layer":4},{"info":"compute binary expreesion, left_input=1322, right_input=1678, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=1286","layer":4},{"info":"compute unary expreesion, input=1286, 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 = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=2330, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":1},{"info":"number node, value=4189","layer":4},{"info":"compute unary expreesion, input=4189, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-4363","layer":3},{"info":"number node, value=1665","layer":4},{"info":"compute unary expreesion, input=1665, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2533","layer":3},{"info":"compute binary expreesion, left_input=-4363, right_input=2533, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-11546","layer":2},{"info":"number node, value=4673","layer":4},{"info":"number node, value=3491","layer":4},{"info":"compute binary expreesion, left_input=4673, right_input=3491, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=16328","layer":3},{"info":"number node, value=5121","layer":4},{"info":"number node, value=4588","layer":4},{"info":"compute binary expreesion, left_input=5121, right_input=4588, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-1061","layer":3},{"info":"compute binary expreesion, left_input=16328, right_input=-1061, 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=-11546, right_input=160, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=-1","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-1, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍29B0≧⫂∧⪎⋱⫍1378)∑⇟⊟(⪎⋱⫍227C⩨⪎⋱⫍62A)⨳⩥⨓⪎⋱⫍7A9↬⪎⋱⫍9C1+⇶⊼(⊙↵-⪎⋱⫍77C))⩷∴((⨞⊢⪎⋱⫍1BA3)⋳⪒(∥⊫⪎⋱⫍9B1))⪘⫢(⪎⋱⫍2186⨸⪁⪎⋱⫍1787⨵⪆⪎⋱⫍243C⊭↱⪎⋱⫍211C)=NaN","reverse_text":"NaN=((⪎⋱⫍29B0≧⫂∧⪎⋱⫍1378)∑⇟⊟(⪎⋱⫍227C⩨⪎⋱⫍62A)⨳⩥⨓⪎⋱⫍7A9↬⪎⋱⫍9C1+⇶⊼(⊙↵-⪎⋱⫍77C))⩷∴((⨞⊢⪎⋱⫍1BA3)⋳⪒(∥⊫⪎⋱⫍9B1))⪘⫢(⪎⋱⫍2186⨸⪁⪎⋱⫍1787⨵⪆⪎⋱⫍243C⊭↱⪎⋱⫍211C)","cot":[{"info":"⪎⋱⫍29B0≧⫂∧⪎⋱⫍1378=⪎⋱⫍10A3","layer":3},{"info":"⪎⋱⫍227C⩨⪎⋱⫍62A=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍10A3∑⇟⊟⪎⋱⫍0=⪎⋱⫍10A3","layer":2},{"info":"⪎⋱⫍7A9↬⪎⋱⫍9C1=NaN","layer":3},{"info":"⊙↵-⪎⋱⫍77C=⪎⋱⫍-1","layer":3},{"info":"NaN+⇶⊼⪎⋱⫍-1=NaN","layer":2},{"info":"⪎⋱⫍10A3⨳⩥⨓NaN=NaN","layer":1},{"info":"⨞⊢⪎⋱⫍1BA3=⪎⋱⫍-1CA8","layer":3},{"info":"∥⊫⪎⋱⫍9B1=⪎⋱⫍11CB","layer":3},{"info":"⪎⋱⫍-1CA8⋳⪒⪎⋱⫍11CB=⪎⋱⫍-5342","layer":2},{"info":"⪎⋱⫍2186⨸⪁⪎⋱⫍1787=⪎⋱⫍7580","layer":3},{"info":"⪎⋱⫍243C⊭↱⪎⋱⫍211C=⪎⋱⫍-638","layer":3},{"info":"⪎⋱⫍7580⨵⪆⪎⋱⫍-638=⪎⋱⫍C4","layer":2},{"info":"⪎⋱⫍-5342⪘⫢⪎⋱⫍C4=⪎⋱⫍-1","layer":1},{"info":"NaN⩷∴⪎⋱⫍-1=NaN","layer":0}]}
{"id":887,"expression_no_base_symbol":"(∥⊫($1443$⊴$1900$⨁⊸⫻))⨐⩸⫘((($2728$⨸⪁$1946$)⨁⊸⫻)⇼⇔∾(⇁⨣⪵(≉$5791$)))","expression":"(∥⊫(⪎⋱⫍870⊴⪎⋱⫍B32⨁⊸⫻))⨐⩸⫘(((⪎⋱⫍131B⨸⪁⪎⋱⫍B69)⨁⊸⫻)⇼⇔∾(⇁⨣⪵(≉⪎⋱⫍2836)))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1920,"operation_count":9,"complexity_ratio":213.33333333333334,"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":1443,"base":13},"right_expr":{"type":"numeric_atoms","value":1900,"base":13}}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2728,"base":13},"right_expr":{"type":"numeric_atoms","value":1946,"base":13}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":5791,"base":13}}}}},"used_operators":["fu6greOZ01","P8v4zCKN1o","glklzrTFfD","Nsiff2A1zJ","tifHPKVTfV","g55IO6H4Gj","inkyxCbjAn","e1ybzncUwg"],"dependent_operators":["3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","B5M0gjZbta","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1443","layer":4},{"info":"number node, value=1900","layer":4},{"info":"compute binary expreesion, left_input=1443, right_input=1900, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', 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 = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=nan","layer":1},{"info":"number node, value=2728","layer":4},{"info":"number node, value=1946","layer":4},{"info":"compute binary expreesion, left_input=2728, right_input=1946, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=9348","layer":3},{"info":"compute unary expreesion, input=9348, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=9348","layer":2},{"info":"number node, value=5791","layer":4},{"info":"compute unary expreesion, input=5791, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=6322","layer":3},{"info":"compute unary expreesion, input=6322, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=9348, 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 = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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":13,"result_base":13,"text":"(∥⊫(⪎⋱⫍870⊴⪎⋱⫍B32⨁⊸⫻))⨐⩸⫘(((⪎⋱⫍131B⨸⪁⪎⋱⫍B69)⨁⊸⫻)⇼⇔∾(⇁⨣⪵(≉⪎⋱⫍2836)))=NaN","reverse_text":"NaN=(∥⊫(⪎⋱⫍870⊴⪎⋱⫍B32⨁⊸⫻))⨐⩸⫘(((⪎⋱⫍131B⨸⪁⪎⋱⫍B69)⨁⊸⫻)⇼⇔∾(⇁⨣⪵(≉⪎⋱⫍2836)))","cot":[{"info":"⪎⋱⫍870⊴⪎⋱⫍B32=NaN","layer":3},{"info":"NaN⨁⊸⫻=NaN","layer":2},{"info":"∥⊫NaN=NaN","layer":1},{"info":"⪎⋱⫍131B⨸⪁⪎⋱⫍B69=⪎⋱⫍4341","layer":3},{"info":"⪎⋱⫍4341⨁⊸⫻=⪎⋱⫍4341","layer":2},{"info":"≉⪎⋱⫍2836=⪎⋱⫍2B54","layer":3},{"info":"⇁⨣⪵⪎⋱⫍2B54=NaN","layer":2},{"info":"⪎⋱⫍4341⇼⇔∾NaN=NaN","layer":1},{"info":"NaN⨐⩸⫘NaN=NaN","layer":0}]}
{"id":888,"expression_no_base_symbol":"(⨑⩽⪐($6411$⫌⩹⨱))∀⇚≩(⨰⫟⨤$3484$)⊴($1929$⫡⨏$2209$)⨸⪁(-($4340$/$1676$+$3441$⨓$2581$))","expression":"(⨑⩽⪐(⪎⋱⫍2BC2⫌⩹⨱))∀⇚≩(⨰⫟⨤⪎⋱⫍1780)⊴(⪎⋱⫍B55⫡⨏⪎⋱⫍100C)⨸⪁(-(⪎⋱⫍1C8B/⪎⋱⫍9BC+⪎⋱⫍1749⨓⪎⋱⫍1237))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":128210,"operation_count":11,"complexity_ratio":11655.454545454546,"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":6411,"base":13}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":3484,"base":13}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1929,"base":13},"right_expr":{"type":"numeric_atoms","value":2209,"base":13}}}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":4340,"base":13},"right_expr":{"type":"numeric_atoms","value":1676,"base":13}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":3441,"base":13},"right_expr":{"type":"numeric_atoms","value":2581,"base":13}}}}},"used_operators":["g55IO6H4Gj","LRNGc0VcxI","AF7qkfDlqP","EBcxylXtPf","Nsiff2A1zJ","Tw270M8GLb","QMFrweE19q","t8gj7n24qd","W4YGzv6Whe","XhwjNDsVaA","3ViojmjbAp"],"dependent_operators":["W4YGzv6Whe","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","14qkJME0vr","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=6411","layer":4},{"info":"compute unary expreesion, input=6411, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=14223","layer":3},{"info":"compute unary expreesion, input=14223, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-13950","layer":2},{"info":"number node, value=3484","layer":4},{"info":"compute unary expreesion, input=3484, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=1929","layer":4},{"info":"number node, value=2209","layer":4},{"info":"compute binary expreesion, left_input=1929, right_input=2209, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=14846","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=14846, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-13950, 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=4340","layer":4},{"info":"number node, value=1676","layer":4},{"info":"compute binary expreesion, left_input=4340, right_input=1676, op_id = XhwjNDsVaA binary_op_definition= 'None', output=2","layer":3},{"info":"number node, value=3441","layer":4},{"info":"number node, value=2581","layer":4},{"info":"compute binary expreesion, left_input=3441, right_input=2581, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2584","layer":3},{"info":"compute binary expreesion, left_input=2, right_input=-2584, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-2582","layer":2},{"info":"compute unary expreesion, input=-2582, op_id = t8gj7n24qd, unary_op_definition = 'None', output=2582","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2582, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⨑⩽⪐(⪎⋱⫍2BC2⫌⩹⨱))∀⇚≩(⨰⫟⨤⪎⋱⫍1780)⊴(⪎⋱⫍B55⫡⨏⪎⋱⫍100C)⨸⪁(-(⪎⋱⫍1C8B/⪎⋱⫍9BC+⪎⋱⫍1749⨓⪎⋱⫍1237))=NaN","reverse_text":"NaN=(⨑⩽⪐(⪎⋱⫍2BC2⫌⩹⨱))∀⇚≩(⨰⫟⨤⪎⋱⫍1780)⊴(⪎⋱⫍B55⫡⨏⪎⋱⫍100C)⨸⪁(-(⪎⋱⫍1C8B/⪎⋱⫍9BC+⪎⋱⫍1749⨓⪎⋱⫍1237))","cot":[{"info":"⪎⋱⫍2BC2⫌⩹⨱=⪎⋱⫍6621","layer":3},{"info":"⨑⩽⪐⪎⋱⫍6621=⪎⋱⫍-6471","layer":2},{"info":"⨰⫟⨤⪎⋱⫍1780=NaN","layer":3},{"info":"⪎⋱⫍B55⫡⨏⪎⋱⫍100C=⪎⋱⫍69B0","layer":3},{"info":"NaN⊴⪎⋱⫍69B0=NaN","layer":2},{"info":"⪎⋱⫍-6471∀⇚≩NaN=NaN","layer":1},{"info":"⪎⋱⫍1C8B/⪎⋱⫍9BC=⪎⋱⫍2","layer":3},{"info":"⪎⋱⫍1749⨓⪎⋱⫍1237=⪎⋱⫍-123A","layer":3},{"info":"⪎⋱⫍2+⪎⋱⫍-123A=⪎⋱⫍-1238","layer":2},{"info":"-⪎⋱⫍-1238=⪎⋱⫍1238","layer":1},{"info":"NaN⨸⪁⪎⋱⫍1238=NaN","layer":0}]}
{"id":889,"expression_no_base_symbol":"(($1956$⪄$2834$⋷$3302$⪮%⊝$5173$)⇼⇔∾($4543$⋝⋈⪟$4037$)∼($1656$↬$6271$))⪢((($1956$⇼⇔∾$2224$)⫩⊇)↙(($3787$⪨≂$1192$)∲⫓$3812$⋥≓≎$5977$))","expression":"((⪎⋱⫍B76⪄⪎⋱⫍13A0⋷⪎⋱⫍1670⪮%⊝⪎⋱⫍247C)⇼⇔∾(⪎⋱⫍20B6⋝⋈⪟⪎⋱⫍1AB7)∼(⪎⋱⫍9A5↬⪎⋱⫍2B15))⪢(((⪎⋱⫍B76⇼⇔∾⪎⋱⫍1021)⫩⊇)↙((⪎⋱⫍1954⪨≂⪎⋱⫍709)∲⫓⪎⋱⫍1973⋥≓≎⪎⋱⫍294A))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":445,"operation_count":14,"complexity_ratio":31.785714285714285,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1956,"base":13},"right_expr":{"type":"numeric_atoms","value":2834,"base":13}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":3302,"base":13},"right_expr":{"type":"numeric_atoms","value":5173,"base":13}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":4543,"base":13},"right_expr":{"type":"numeric_atoms","value":4037,"base":13}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1656,"base":13},"right_expr":{"type":"numeric_atoms","value":6271,"base":13}}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1956,"base":13},"right_expr":{"type":"numeric_atoms","value":2224,"base":13}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":3787,"base":13},"right_expr":{"type":"numeric_atoms","value":1192,"base":13}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":3812,"base":13},"right_expr":{"type":"numeric_atoms","value":5977,"base":13}}}}},"used_operators":["dWAJyo7jo9","tifHPKVTfV","23Mk6UjR3U","SUmda5xLS4","IWmyXbctLI","DyGG3AbaNP","2DDjHMKMc0","B5M0gjZbta","yyfyN0ffXY","BjRHVeLaeN","i8ToyICDmI","sdazOOVcIp","Qy55tPpLXF"],"dependent_operators":["k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1956","layer":4},{"info":"number node, value=2834","layer":4},{"info":"compute binary expreesion, left_input=1956, right_input=2834, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-296913","layer":3},{"info":"number node, value=3302","layer":4},{"info":"number node, value=5173","layer":4},{"info":"compute binary expreesion, left_input=3302, right_input=5173, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=6920","layer":3},{"info":"compute binary expreesion, left_input=-296913, right_input=6920, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=593826","layer":2},{"info":"number node, value=4543","layer":4},{"info":"number node, value=4037","layer":4},{"info":"compute binary expreesion, left_input=4543, right_input=4037, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=4543","layer":3},{"info":"number node, value=1656","layer":4},{"info":"number node, value=6271","layer":4},{"info":"compute binary expreesion, left_input=1656, right_input=6271, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=4543, 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=593826, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":1},{"info":"number node, value=1956","layer":4},{"info":"number node, value=2224","layer":4},{"info":"compute binary expreesion, left_input=1956, right_input=2224, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=268","layer":3},{"info":"compute unary expreesion, input=268, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-226","layer":2},{"info":"number node, value=3787","layer":4},{"info":"number node, value=1192","layer":4},{"info":"compute binary expreesion, left_input=3787, right_input=1192, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=5292","layer":3},{"info":"number node, value=3812","layer":4},{"info":"number node, value=5977","layer":4},{"info":"compute binary expreesion, left_input=3812, right_input=5977, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=8175","layer":3},{"info":"compute binary expreesion, left_input=5292, right_input=8175, 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=-226, right_input=0, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-226","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-226, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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":13,"result_base":13,"text":"((⪎⋱⫍B76⪄⪎⋱⫍13A0⋷⪎⋱⫍1670⪮%⊝⪎⋱⫍247C)⇼⇔∾(⪎⋱⫍20B6⋝⋈⪟⪎⋱⫍1AB7)∼(⪎⋱⫍9A5↬⪎⋱⫍2B15))⪢(((⪎⋱⫍B76⇼⇔∾⪎⋱⫍1021)⫩⊇)↙((⪎⋱⫍1954⪨≂⪎⋱⫍709)∲⫓⪎⋱⫍1973⋥≓≎⪎⋱⫍294A))=NaN","reverse_text":"NaN=((⪎⋱⫍B76⪄⪎⋱⫍13A0⋷⪎⋱⫍1670⪮%⊝⪎⋱⫍247C)⇼⇔∾(⪎⋱⫍20B6⋝⋈⪟⪎⋱⫍1AB7)∼(⪎⋱⫍9A5↬⪎⋱⫍2B15))⪢(((⪎⋱⫍B76⇼⇔∾⪎⋱⫍1021)⫩⊇)↙((⪎⋱⫍1954⪨≂⪎⋱⫍709)∲⫓⪎⋱⫍1973⋥≓≎⪎⋱⫍294A))","cot":[{"info":"⪎⋱⫍B76⪄⪎⋱⫍13A0=⪎⋱⫍-A51B6","layer":3},{"info":"⪎⋱⫍1670⪮%⊝⪎⋱⫍247C=⪎⋱⫍31C4","layer":3},{"info":"⪎⋱⫍-A51B6⋷⪎⋱⫍31C4=⪎⋱⫍17A39C","layer":2},{"info":"⪎⋱⫍20B6⋝⋈⪟⪎⋱⫍1AB7=⪎⋱⫍20B6","layer":3},{"info":"⪎⋱⫍9A5↬⪎⋱⫍2B15=NaN","layer":3},{"info":"⪎⋱⫍20B6∼NaN=NaN","layer":2},{"info":"⪎⋱⫍17A39C⇼⇔∾NaN=NaN","layer":1},{"info":"⪎⋱⫍B76⇼⇔∾⪎⋱⫍1021=⪎⋱⫍178","layer":3},{"info":"⪎⋱⫍178⫩⊇=⪎⋱⫍-145","layer":2},{"info":"⪎⋱⫍1954⪨≂⪎⋱⫍709=⪎⋱⫍2541","layer":3},{"info":"⪎⋱⫍1973⋥≓≎⪎⋱⫍294A=⪎⋱⫍394B","layer":3},{"info":"⪎⋱⫍2541∲⫓⪎⋱⫍394B=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍-145↙⪎⋱⫍0=⪎⋱⫍-145","layer":1},{"info":"NaN⪢⪎⋱⫍-145=NaN","layer":0}]}
{"id":890,"expression_no_base_symbol":"($1774$≣⋋)⨎$2608$⪮%⊝$2887$⪨≂(⨑⩽⪐$6803$)⊴(↔$5058$)⨵⪆((≉$2946$)⩷∴$5874$⪛$5414$)∀⇚≩($3826$⇼⇔∾$5678$)⪘⫢($1182$⋝⋈⪟$2211$)","expression":"(⪎⋱⫍A66≣⋋)⨎⪎⋱⫍1258⪮%⊝⪎⋱⫍1411⪨≂(⨑⩽⪐⪎⋱⫍3134)⊴(↔⪎⋱⫍23C1)⨵⪆((≉⪎⋱⫍1458)⩷∴⪎⋱⫍289B⪛⪎⋱⫍2606)∀⇚≩(⪎⋱⫍1984⇼⇔∾⪎⋱⫍277A)⪘⫢(⪎⋱⫍6CC⋝⋈⪟⪎⋱⫍1011)","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":48350,"operation_count":15,"complexity_ratio":3223.3333333333335,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":1774,"base":13}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2608,"base":13},"right_expr":{"type":"numeric_atoms","value":2887,"base":13}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":6803,"base":13}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":5058,"base":13}}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":2946,"base":13}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":5874,"base":13},"right_expr":{"type":"numeric_atoms","value":5414,"base":13}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":3826,"base":13},"right_expr":{"type":"numeric_atoms","value":5678,"base":13}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1182,"base":13},"right_expr":{"type":"numeric_atoms","value":2211,"base":13}}}}},"used_operators":["2DQ55sFlQl","sdazOOVcIp","rJVOvQCfKK","Tcnh7f0tEr","IWmyXbctLI","Nsiff2A1zJ","AF7qkfDlqP","ruOEQAzv1W","LRNGc0VcxI","9FxExcQeMw","e1ybzncUwg","uFcxV4UQCh","oacrs7FA3X","tifHPKVTfV","2DDjHMKMc0"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","X99M06cbEe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍C4","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1774","layer":4},{"info":"compute unary expreesion, input=1774, 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=2608","layer":4},{"info":"number node, value=2887","layer":4},{"info":"compute binary expreesion, left_input=2608, right_input=2887, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=5532","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=5532, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=5532","layer":2},{"info":"number node, value=6803","layer":4},{"info":"compute unary expreesion, input=6803, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-6530","layer":3},{"info":"number node, value=5058","layer":4},{"info":"compute unary expreesion, input=5058, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-4785","layer":3},{"info":"compute binary expreesion, left_input=-6530, right_input=-4785, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=5532, 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=2946","layer":4},{"info":"compute unary expreesion, input=2946, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=3477","layer":3},{"info":"number node, value=5874","layer":4},{"info":"number node, value=5414","layer":4},{"info":"compute binary expreesion, left_input=5874, right_input=5414, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=460","layer":3},{"info":"compute binary expreesion, left_input=3477, right_input=460, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=6002","layer":2},{"info":"number node, value=3826","layer":4},{"info":"number node, value=5678","layer":4},{"info":"compute binary expreesion, left_input=3826, right_input=5678, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1852","layer":3},{"info":"number node, value=1182","layer":4},{"info":"number node, value=2211","layer":4},{"info":"compute binary expreesion, left_input=1182, right_input=2211, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1182","layer":3},{"info":"compute binary expreesion, left_input=1852, right_input=1182, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=3580","layer":2},{"info":"compute binary expreesion, left_input=6002, right_input=3580, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍A66≣⋋)⨎⪎⋱⫍1258⪮%⊝⪎⋱⫍1411⪨≂(⨑⩽⪐⪎⋱⫍3134)⊴(↔⪎⋱⫍23C1)⨵⪆((≉⪎⋱⫍1458)⩷∴⪎⋱⫍289B⪛⪎⋱⫍2606)∀⇚≩(⪎⋱⫍1984⇼⇔∾⪎⋱⫍277A)⪘⫢(⪎⋱⫍6CC⋝⋈⪟⪎⋱⫍1011)=⪎⋱⫍C4","reverse_text":"⪎⋱⫍C4=(⪎⋱⫍A66≣⋋)⨎⪎⋱⫍1258⪮%⊝⪎⋱⫍1411⪨≂(⨑⩽⪐⪎⋱⫍3134)⊴(↔⪎⋱⫍23C1)⨵⪆((≉⪎⋱⫍1458)⩷∴⪎⋱⫍289B⪛⪎⋱⫍2606)∀⇚≩(⪎⋱⫍1984⇼⇔∾⪎⋱⫍277A)⪘⫢(⪎⋱⫍6CC⋝⋈⪟⪎⋱⫍1011)","cot":[{"info":"⪎⋱⫍A66≣⋋=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍1258⪮%⊝⪎⋱⫍1411=⪎⋱⫍2697","layer":3},{"info":"⪎⋱⫍0⨎⪎⋱⫍2697=⪎⋱⫍2697","layer":2},{"info":"⨑⩽⪐⪎⋱⫍3134=⪎⋱⫍-2C84","layer":3},{"info":"↔⪎⋱⫍23C1=⪎⋱⫍-2241","layer":3},{"info":"⪎⋱⫍-2C84⊴⪎⋱⫍-2241=NaN","layer":2},{"info":"⪎⋱⫍2697⪨≂NaN=NaN","layer":1},{"info":"≉⪎⋱⫍1458=⪎⋱⫍1776","layer":3},{"info":"⪎⋱⫍289B⪛⪎⋱⫍2606=⪎⋱⫍295","layer":3},{"info":"⪎⋱⫍1776⩷∴⪎⋱⫍295=⪎⋱⫍2969","layer":2},{"info":"⪎⋱⫍1984⇼⇔∾⪎⋱⫍277A=⪎⋱⫍AC6","layer":3},{"info":"⪎⋱⫍6CC⋝⋈⪟⪎⋱⫍1011=⪎⋱⫍6CC","layer":3},{"info":"⪎⋱⫍AC6⪘⫢⪎⋱⫍6CC=⪎⋱⫍1825","layer":2},{"info":"⪎⋱⫍2969∀⇚≩⪎⋱⫍1825=NaN","layer":1},{"info":"NaN⨵⪆NaN=⪎⋱⫍C4","layer":0}]}
{"id":891,"expression_no_base_symbol":"(($5553$∲⫓$1590$)⋳⪒(≉$1959$))⨟⋌⩍(↔(⨑⩽⪐$1069$))∑⇟⊟($3775$∀⇚≩$2663$⪄($6345$⇼⇔∾$5091$))∀⇚≩(⊙↵-($2129$↙$1020$))","expression":"((⪎⋱⫍26B2∲⫓⪎⋱⫍954)⋳⪒(≉⪎⋱⫍B79))⨟⋌⩍(↔(⨑⩽⪐⪎⋱⫍643))∑⇟⊟(⪎⋱⫍1945∀⇚≩⪎⋱⫍129B⪄(⪎⋱⫍2B71⇼⇔∾⪎⋱⫍2418))∀⇚≩(⊙↵-(⪎⋱⫍C7A↙⪎⋱⫍606))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":59500,"operation_count":13,"complexity_ratio":4576.923076923077,"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":5553,"base":13},"right_expr":{"type":"numeric_atoms","value":1590,"base":13}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1959,"base":13}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":1069,"base":13}}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":3775,"base":13},"right_expr":{"type":"numeric_atoms","value":2663,"base":13}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":6345,"base":13},"right_expr":{"type":"numeric_atoms","value":5091,"base":13}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2129,"base":13},"right_expr":{"type":"numeric_atoms","value":1020,"base":13}}}}},"used_operators":["U7g4x0WXJJ","rGHVDoGpnC","12rbrZMWeM","i8ToyICDmI","e1ybzncUwg","ruOEQAzv1W","AF7qkfDlqP","LRNGc0VcxI","SUmda5xLS4","tifHPKVTfV","oWn0xqSxBt","yyfyN0ffXY"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","X99M06cbEe","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","tmPS8pqC7x","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5553","layer":4},{"info":"number node, value=1590","layer":4},{"info":"compute binary expreesion, left_input=5553, right_input=1590, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=1959","layer":4},{"info":"compute unary expreesion, input=1959, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=2490","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2490, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-2777","layer":2},{"info":"number node, value=1069","layer":4},{"info":"compute unary expreesion, input=1069, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-796","layer":3},{"info":"compute unary expreesion, input=-796, 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=-2777, right_input=-134, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=0","layer":1},{"info":"number node, value=3775","layer":4},{"info":"number node, value=2663","layer":4},{"info":"compute binary expreesion, left_input=3775, right_input=2663, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=6345","layer":4},{"info":"number node, value=5091","layer":4},{"info":"compute binary expreesion, left_input=6345, right_input=5091, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-1254","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1254, 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=2129","layer":4},{"info":"number node, value=1020","layer":4},{"info":"compute binary expreesion, left_input=2129, right_input=1020, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3060","layer":3},{"info":"compute unary expreesion, input=-3060, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=196","layer":2},{"info":"compute binary expreesion, left_input=3979, right_input=196, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍26B2∲⫓⪎⋱⫍954)⋳⪒(≉⪎⋱⫍B79))⨟⋌⩍(↔(⨑⩽⪐⪎⋱⫍643))∑⇟⊟(⪎⋱⫍1945∀⇚≩⪎⋱⫍129B⪄(⪎⋱⫍2B71⇼⇔∾⪎⋱⫍2418))∀⇚≩(⊙↵-(⪎⋱⫍C7A↙⪎⋱⫍606))=NaN","reverse_text":"NaN=((⪎⋱⫍26B2∲⫓⪎⋱⫍954)⋳⪒(≉⪎⋱⫍B79))⨟⋌⩍(↔(⨑⩽⪐⪎⋱⫍643))∑⇟⊟(⪎⋱⫍1945∀⇚≩⪎⋱⫍129B⪄(⪎⋱⫍2B71⇼⇔∾⪎⋱⫍2418))∀⇚≩(⊙↵-(⪎⋱⫍C7A↙⪎⋱⫍606))","cot":[{"info":"⪎⋱⫍26B2∲⫓⪎⋱⫍954=⪎⋱⫍0","layer":3},{"info":"≉⪎⋱⫍B79=⪎⋱⫍1197","layer":3},{"info":"⪎⋱⫍0⋳⪒⪎⋱⫍1197=⪎⋱⫍-1358","layer":2},{"info":"⨑⩽⪐⪎⋱⫍643=⪎⋱⫍-493","layer":3},{"info":"↔⪎⋱⫍-493=⪎⋱⫍-A4","layer":2},{"info":"⪎⋱⫍-1358⨟⋌⩍⪎⋱⫍-A4=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍1945∀⇚≩⪎⋱⫍129B=NaN","layer":3},{"info":"⪎⋱⫍2B71⇼⇔∾⪎⋱⫍2418=⪎⋱⫍-756","layer":3},{"info":"NaN⪄⪎⋱⫍-756=⪎⋱⫍1A71","layer":2},{"info":"⪎⋱⫍C7A↙⪎⋱⫍606=⪎⋱⫍-1515","layer":3},{"info":"⊙↵-⪎⋱⫍-1515=⪎⋱⫍121","layer":2},{"info":"⪎⋱⫍1A71∀⇚≩⪎⋱⫍121=NaN","layer":1},{"info":"⪎⋱⫍0∑⇟⊟NaN=NaN","layer":0}]}
{"id":892,"expression_no_base_symbol":"(($1649$⨵⪆$2522$)⨟⋌⩍(↽≂$4041$)-($2879$⨐⩸⫘$1852$)⋳⪒($3604$⪄$7443$))-($5126$%$5319$)⪛($1541$/$1091$)⪛(↯⪼($7933$⨽$1690$))","expression":"((⪎⋱⫍99B⨵⪆⪎⋱⫍11C0)⨟⋌⩍(↽≂⪎⋱⫍1ABB)-(⪎⋱⫍1406⨐⩸⫘⪎⋱⫍AC6)⋳⪒(⪎⋱⫍1843⪄⪎⋱⫍3507))-(⪎⋱⫍2444%⪎⋱⫍2562)⪛(⪎⋱⫍917/⪎⋱⫍65C)⪛(↯⪼(⪎⋱⫍37C3⨽⪎⋱⫍A00))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":13200,"operation_count":14,"complexity_ratio":942.8571428571429,"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":1649,"base":13},"right_expr":{"type":"numeric_atoms","value":2522,"base":13}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":4041,"base":13}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2879,"base":13},"right_expr":{"type":"numeric_atoms","value":1852,"base":13}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":3604,"base":13},"right_expr":{"type":"numeric_atoms","value":7443,"base":13}}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":5126,"base":13},"right_expr":{"type":"numeric_atoms","value":5319,"base":13}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1541,"base":13},"right_expr":{"type":"numeric_atoms","value":1091,"base":13}}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":7933,"base":13},"right_expr":{"type":"numeric_atoms","value":1690,"base":13}}}}},"used_operators":["rysDP5nf3Z","rGHVDoGpnC","2DQ55sFlQl","u6S6b8DprG","12rbrZMWeM","fu6greOZ01","SUmda5xLS4","uFcxV4UQCh","k8jYdgA6NY","XhwjNDsVaA","8jW3W4yZS5","8HhzD0ZcuI"],"dependent_operators":["Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","rysDP5nf3Z","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1649","layer":4},{"info":"number node, value=2522","layer":4},{"info":"compute binary expreesion, left_input=1649, right_input=2522, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=4041","layer":4},{"info":"compute unary expreesion, input=4041, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-8082","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-8082, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=2879","layer":4},{"info":"number node, value=1852","layer":4},{"info":"compute binary expreesion, left_input=2879, right_input=1852, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=3604","layer":4},{"info":"number node, value=7443","layer":4},{"info":"compute binary expreesion, left_input=3604, right_input=7443, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-559253","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-559253, 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 = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=5126","layer":4},{"info":"number node, value=5319","layer":4},{"info":"compute binary expreesion, left_input=5126, right_input=5319, op_id = k8jYdgA6NY binary_op_definition= 'None', output=5126","layer":3},{"info":"number node, value=1541","layer":4},{"info":"number node, value=1091","layer":4},{"info":"compute binary expreesion, left_input=1541, right_input=1091, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"compute binary expreesion, left_input=5126, right_input=1, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=0","layer":2},{"info":"number node, value=7933","layer":4},{"info":"number node, value=1690","layer":4},{"info":"compute binary expreesion, left_input=7933, right_input=1690, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-188801223","layer":3},{"info":"compute unary expreesion, input=-188801223, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=377601529","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=377601529, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍99B⨵⪆⪎⋱⫍11C0)⨟⋌⩍(↽≂⪎⋱⫍1ABB)-(⪎⋱⫍1406⨐⩸⫘⪎⋱⫍AC6)⋳⪒(⪎⋱⫍1843⪄⪎⋱⫍3507))-(⪎⋱⫍2444%⪎⋱⫍2562)⪛(⪎⋱⫍917/⪎⋱⫍65C)⪛(↯⪼(⪎⋱⫍37C3⨽⪎⋱⫍A00))=NaN","reverse_text":"NaN=((⪎⋱⫍99B⨵⪆⪎⋱⫍11C0)⨟⋌⩍(↽≂⪎⋱⫍1ABB)-(⪎⋱⫍1406⨐⩸⫘⪎⋱⫍AC6)⋳⪒(⪎⋱⫍1843⪄⪎⋱⫍3507))-(⪎⋱⫍2444%⪎⋱⫍2562)⪛(⪎⋱⫍917/⪎⋱⫍65C)⪛(↯⪼(⪎⋱⫍37C3⨽⪎⋱⫍A00))","cot":[{"info":"⪎⋱⫍99B⨵⪆⪎⋱⫍11C0=⪎⋱⫍C4","layer":3},{"info":"↽≂⪎⋱⫍1ABB=⪎⋱⫍-38A9","layer":3},{"info":"⪎⋱⫍C4⨟⋌⩍⪎⋱⫍-38A9=NaN","layer":2},{"info":"⪎⋱⫍1406⨐⩸⫘⪎⋱⫍AC6=NaN","layer":3},{"info":"⪎⋱⫍1843⪄⪎⋱⫍3507=⪎⋱⫍-167726","layer":3},{"info":"NaN⋳⪒⪎⋱⫍-167726=NaN","layer":2},{"info":"NaN-NaN=NaN","layer":1},{"info":"⪎⋱⫍2444%⪎⋱⫍2562=⪎⋱⫍2444","layer":3},{"info":"⪎⋱⫍917/⪎⋱⫍65C=⪎⋱⫍1","layer":3},{"info":"⪎⋱⫍2444⪛⪎⋱⫍1=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍37C3⨽⪎⋱⫍A00=⪎⋱⫍-30165C00","layer":3},{"info":"↯⪼⪎⋱⫍-30165C00=⪎⋱⫍602CB576","layer":2},{"info":"⪎⋱⫍0⪛⪎⋱⫍602CB576=⪎⋱⫍0","layer":1},{"info":"NaN-⪎⋱⫍0=NaN","layer":0}]}
{"id":893,"expression_no_base_symbol":"(⨈⫕$1605$)⨪↰⇹$2989$⇷$2823$⋳⪒($1363$⋥≓≎$2949$)⨓(-$1041$)+((($5336$⪨≂$2054$)⨽$4042$⩚⊴⇥$2264$)⪠⩆⊳)","expression":"(⨈⫕⪎⋱⫍966)⨪↰⇹⪎⋱⫍148C⇷⪎⋱⫍1392⋳⪒(⪎⋱⫍80B⋥≓≎⪎⋱⫍145B)⨓(-⪎⋱⫍621)+(((⪎⋱⫍2576⪨≂⪎⋱⫍C20)⨽⪎⋱⫍1ABC⩚⊴⇥⪎⋱⫍1052)⪠⩆⊳)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":50008,"operation_count":12,"complexity_ratio":4167.333333333333,"tree":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":1605,"base":13}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2989,"base":13},"right_expr":{"type":"numeric_atoms","value":2823,"base":13}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1363,"base":13},"right_expr":{"type":"numeric_atoms","value":2949,"base":13}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1041,"base":13}}}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":5336,"base":13},"right_expr":{"type":"numeric_atoms","value":2054,"base":13}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":4042,"base":13},"right_expr":{"type":"numeric_atoms","value":2264,"base":13}}}}},"used_operators":["W4YGzv6Whe","12rbrZMWeM","tmPS8pqC7x","megm06wKyl","mp7IySMOzn","3ViojmjbAp","Qy55tPpLXF","t8gj7n24qd","JLbD19bQDL","8HhzD0ZcuI","sdazOOVcIp","NTOWxs364D"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"⪎⋱⫍496","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1605","layer":4},{"info":"compute unary expreesion, input=1605, 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=2989","layer":4},{"info":"number node, value=2823","layer":4},{"info":"compute binary expreesion, left_input=2989, right_input=2823, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=5646","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=5646, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=21","layer":2},{"info":"number node, value=1363","layer":4},{"info":"number node, value=2949","layer":4},{"info":"compute binary expreesion, left_input=1363, right_input=2949, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=4568","layer":3},{"info":"number node, value=1041","layer":4},{"info":"compute unary expreesion, input=1041, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1041","layer":3},{"info":"compute binary expreesion, left_input=4568, right_input=-1041, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1044","layer":2},{"info":"compute binary expreesion, left_input=21, right_input=-1044, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=799","layer":1},{"info":"number node, value=5336","layer":4},{"info":"number node, value=2054","layer":4},{"info":"compute binary expreesion, left_input=5336, right_input=2054, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=6666","layer":3},{"info":"number node, value=4042","layer":4},{"info":"number node, value=2264","layer":4},{"info":"compute binary expreesion, left_input=4042, right_input=2264, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-6427","layer":3},{"info":"compute binary expreesion, left_input=6666, right_input=-6427, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-133286073","layer":2},{"info":"compute unary expreesion, input=-133286073, 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=799, right_input=0, op_id = W4YGzv6Whe binary_op_definition= 'None', output=799","layer":0}],"base":13,"result_base":13,"text":"(⨈⫕⪎⋱⫍966)⨪↰⇹⪎⋱⫍148C⇷⪎⋱⫍1392⋳⪒(⪎⋱⫍80B⋥≓≎⪎⋱⫍145B)⨓(-⪎⋱⫍621)+(((⪎⋱⫍2576⪨≂⪎⋱⫍C20)⨽⪎⋱⫍1ABC⩚⊴⇥⪎⋱⫍1052)⪠⩆⊳)=⪎⋱⫍496","reverse_text":"⪎⋱⫍496=(⨈⫕⪎⋱⫍966)⨪↰⇹⪎⋱⫍148C⇷⪎⋱⫍1392⋳⪒(⪎⋱⫍80B⋥≓≎⪎⋱⫍145B)⨓(-⪎⋱⫍621)+(((⪎⋱⫍2576⪨≂⪎⋱⫍C20)⨽⪎⋱⫍1ABC⩚⊴⇥⪎⋱⫍1052)⪠⩆⊳)","cot":[{"info":"⨈⫕⪎⋱⫍966=⪎⋱⫍-18","layer":3},{"info":"⪎⋱⫍148C⇷⪎⋱⫍1392=⪎⋱⫍2754","layer":3},{"info":"⪎⋱⫍-18⨪↰⇹⪎⋱⫍2754=⪎⋱⫍18","layer":2},{"info":"⪎⋱⫍80B⋥≓≎⪎⋱⫍145B=⪎⋱⫍2105","layer":3},{"info":"-⪎⋱⫍621=⪎⋱⫍-621","layer":3},{"info":"⪎⋱⫍2105⨓⪎⋱⫍-621=⪎⋱⫍-624","layer":2},{"info":"⪎⋱⫍18⋳⪒⪎⋱⫍-624=⪎⋱⫍496","layer":1},{"info":"⪎⋱⫍2576⪨≂⪎⋱⫍C20=⪎⋱⫍305A","layer":3},{"info":"⪎⋱⫍1ABC⩚⊴⇥⪎⋱⫍1052=⪎⋱⫍-2C05","layer":3},{"info":"⪎⋱⫍305A⨽⪎⋱⫍-2C05=⪎⋱⫍-217C93CB","layer":2},{"info":"⪎⋱⫍-217C93CB⪠⩆⊳=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍496+⪎⋱⫍0=⪎⋱⫍496","layer":0}]}
{"id":894,"expression_no_base_symbol":"($2881$⫥∨⫟$3215$)⊴($7234$⪮%⊝$3838$)⨪↰⇹($2226$∀⇚≩$1287$)⪛($2356$⩚⊴⇥$7364$)≭(($3181$⨵⪆$7959$)⩚⊴⇥($5066$⋳⪒$2123$))∼(($3952$⊭↱$3588$)⨎$3416$⨪↰⇹$2237$)","expression":"(⪎⋱⫍1408⫥∨⫟⪎⋱⫍1604)⊴(⪎⋱⫍33A6⪮%⊝⪎⋱⫍1993)⨪↰⇹(⪎⋱⫍1023∀⇚≩⪎⋱⫍780)⪛(⪎⋱⫍10C3⩚⊴⇥⪎⋱⫍3476)≭((⪎⋱⫍15A9⨵⪆⪎⋱⫍3813)⩚⊴⇥(⪎⋱⫍23C9⋳⪒⪎⋱⫍C74))∼((⪎⋱⫍1A50⊭↱⪎⋱⫍1830)⨎⪎⋱⫍172A⨪↰⇹⪎⋱⫍1031)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":34136,"operation_count":15,"complexity_ratio":2275.733333333333,"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":2881,"base":13},"right_expr":{"type":"numeric_atoms","value":3215,"base":13}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":7234,"base":13},"right_expr":{"type":"numeric_atoms","value":3838,"base":13}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2226,"base":13},"right_expr":{"type":"numeric_atoms","value":1287,"base":13}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2356,"base":13},"right_expr":{"type":"numeric_atoms","value":7364,"base":13}}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":3181,"base":13},"right_expr":{"type":"numeric_atoms","value":7959,"base":13}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":5066,"base":13},"right_expr":{"type":"numeric_atoms","value":2123,"base":13}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":3952,"base":13},"right_expr":{"type":"numeric_atoms","value":3588,"base":13}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":3416,"base":13},"right_expr":{"type":"numeric_atoms","value":2237,"base":13}}}}},"used_operators":["rxpJgHHUmx","tmPS8pqC7x","Nsiff2A1zJ","KYD54nUTWz","IWmyXbctLI","uFcxV4UQCh","LRNGc0VcxI","NTOWxs364D","DyGG3AbaNP","2DQ55sFlQl","12rbrZMWeM","rJVOvQCfKK","COABgblf1C"],"dependent_operators":["AHs5Up7iyr","rJVOvQCfKK","dWAJyo7jo9","14qkJME0vr","8HhzD0ZcuI","rGHVDoGpnC","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2881","layer":4},{"info":"number node, value=3215","layer":4},{"info":"compute binary expreesion, left_input=2881, right_input=3215, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=7234","layer":4},{"info":"number node, value=3838","layer":4},{"info":"compute binary expreesion, left_input=7234, right_input=3838, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=14784","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=14784, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=2226","layer":4},{"info":"number node, value=1287","layer":4},{"info":"compute binary expreesion, left_input=2226, right_input=1287, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=2356","layer":4},{"info":"number node, value=7364","layer":4},{"info":"compute binary expreesion, left_input=2356, right_input=7364, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-9841","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-9841, 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 = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((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=3181","layer":4},{"info":"number node, value=7959","layer":4},{"info":"compute binary expreesion, left_input=3181, right_input=7959, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=5066","layer":4},{"info":"number node, value=2123","layer":4},{"info":"compute binary expreesion, left_input=5066, right_input=2123, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=7722","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=7722, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-8003","layer":2},{"info":"number node, value=3952","layer":4},{"info":"number node, value=3588","layer":4},{"info":"compute binary expreesion, left_input=3952, right_input=3588, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-723","layer":3},{"info":"number node, value=3416","layer":4},{"info":"number node, value=2237","layer":4},{"info":"compute binary expreesion, left_input=3416, right_input=2237, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=3416","layer":3},{"info":"compute binary expreesion, left_input=-723, right_input=3416, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3416","layer":2},{"info":"compute binary expreesion, left_input=-8003, right_input=3416, 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 = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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":13,"result_base":13,"text":"(⪎⋱⫍1408⫥∨⫟⪎⋱⫍1604)⊴(⪎⋱⫍33A6⪮%⊝⪎⋱⫍1993)⨪↰⇹(⪎⋱⫍1023∀⇚≩⪎⋱⫍780)⪛(⪎⋱⫍10C3⩚⊴⇥⪎⋱⫍3476)≭((⪎⋱⫍15A9⨵⪆⪎⋱⫍3813)⩚⊴⇥(⪎⋱⫍23C9⋳⪒⪎⋱⫍C74))∼((⪎⋱⫍1A50⊭↱⪎⋱⫍1830)⨎⪎⋱⫍172A⨪↰⇹⪎⋱⫍1031)=NaN","reverse_text":"NaN=(⪎⋱⫍1408⫥∨⫟⪎⋱⫍1604)⊴(⪎⋱⫍33A6⪮%⊝⪎⋱⫍1993)⨪↰⇹(⪎⋱⫍1023∀⇚≩⪎⋱⫍780)⪛(⪎⋱⫍10C3⩚⊴⇥⪎⋱⫍3476)≭((⪎⋱⫍15A9⨵⪆⪎⋱⫍3813)⩚⊴⇥(⪎⋱⫍23C9⋳⪒⪎⋱⫍C74))∼((⪎⋱⫍1A50⊭↱⪎⋱⫍1830)⨎⪎⋱⫍172A⨪↰⇹⪎⋱⫍1031)","cot":[{"info":"⪎⋱⫍1408⫥∨⫟⪎⋱⫍1604=NaN","layer":3},{"info":"⪎⋱⫍33A6⪮%⊝⪎⋱⫍1993=⪎⋱⫍6963","layer":3},{"info":"NaN⊴⪎⋱⫍6963=NaN","layer":2},{"info":"⪎⋱⫍1023∀⇚≩⪎⋱⫍780=NaN","layer":3},{"info":"⪎⋱⫍10C3⩚⊴⇥⪎⋱⫍3476=⪎⋱⫍-4630","layer":3},{"info":"NaN⪛⪎⋱⫍-4630=NaN","layer":2},{"info":"NaN⨪↰⇹NaN=NaN","layer":1},{"info":"⪎⋱⫍15A9⨵⪆⪎⋱⫍3813=⪎⋱⫍C4","layer":3},{"info":"⪎⋱⫍23C9⋳⪒⪎⋱⫍C74=⪎⋱⫍3690","layer":3},{"info":"⪎⋱⫍C4⩚⊴⇥⪎⋱⫍3690=⪎⋱⫍-3848","layer":2},{"info":"⪎⋱⫍1A50⊭↱⪎⋱⫍1830=⪎⋱⫍-438","layer":3},{"info":"⪎⋱⫍172A⨪↰⇹⪎⋱⫍1031=⪎⋱⫍172A","layer":3},{"info":"⪎⋱⫍-438⨎⪎⋱⫍172A=⪎⋱⫍172A","layer":2},{"info":"⪎⋱⫍-3848∼⪎⋱⫍172A=NaN","layer":1},{"info":"NaN≭NaN=NaN","layer":0}]}
{"id":895,"expression_no_base_symbol":"(+⊝⨔($3778$⇼⇔∾$5572$⪒(⊥$1015$)))⋝⋈⪟(≉$6786$+⇶⊼$3700$)⨪↰⇹((⫓⪴$4049$)⨽($4585$⨸⪁$2386$))","expression":"(+⊝⨔(⪎⋱⫍1948⇼⇔∾⪎⋱⫍26C8⪒(⊥⪎⋱⫍601)))⋝⋈⪟(≉⪎⋱⫍3120+⇶⊼⪎⋱⫍18B8)⨪↰⇹((⫓⪴⪎⋱⫍1AC6)⨽(⪎⋱⫍2119⨸⪁⪎⋱⫍1117))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":16398494,"operation_count":11,"complexity_ratio":1490772.1818181819,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":3778,"base":13},"right_expr":{"type":"numeric_atoms","value":5572,"base":13}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":1015,"base":13}}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":6786,"base":13},"right_expr":{"type":"numeric_atoms","value":3700,"base":13}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":4049,"base":13}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":4585,"base":13},"right_expr":{"type":"numeric_atoms","value":2386,"base":13}}}}},"used_operators":["2DDjHMKMc0","DhbWaqg5eL","f6k1SAg4EE","tifHPKVTfV","Q3PJZHRvZv","tmPS8pqC7x","e1ybzncUwg","TpPTUOHfaN","8HhzD0ZcuI","eLxqMNBOBk","g55IO6H4Gj"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","fu6greOZ01","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","9HNa5Wba9A","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3778","layer":4},{"info":"number node, value=5572","layer":4},{"info":"compute binary expreesion, left_input=3778, right_input=5572, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1794","layer":3},{"info":"number node, value=1015","layer":4},{"info":"compute unary expreesion, input=1015, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1794, 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 = 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=6786","layer":4},{"info":"number node, value=3700","layer":4},{"info":"compute binary expreesion, left_input=6786, right_input=3700, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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 = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=nan","layer":2},{"info":"number node, value=4049","layer":4},{"info":"compute unary expreesion, input=4049, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=16394401","layer":3},{"info":"number node, value=4585","layer":4},{"info":"number node, value=2386","layer":4},{"info":"compute binary expreesion, left_input=4585, right_input=2386, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=13942","layer":3},{"info":"compute binary expreesion, left_input=16394401, right_input=13942, 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 = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((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=1522, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(+⊝⨔(⪎⋱⫍1948⇼⇔∾⪎⋱⫍26C8⪒(⊥⪎⋱⫍601)))⋝⋈⪟(≉⪎⋱⫍3120+⇶⊼⪎⋱⫍18B8)⨪↰⇹((⫓⪴⪎⋱⫍1AC6)⨽(⪎⋱⫍2119⨸⪁⪎⋱⫍1117))=NaN","reverse_text":"NaN=(+⊝⨔(⪎⋱⫍1948⇼⇔∾⪎⋱⫍26C8⪒(⊥⪎⋱⫍601)))⋝⋈⪟(≉⪎⋱⫍3120+⇶⊼⪎⋱⫍18B8)⨪↰⇹((⫓⪴⪎⋱⫍1AC6)⨽(⪎⋱⫍2119⨸⪁⪎⋱⫍1117))","cot":[{"info":"⪎⋱⫍1948⇼⇔∾⪎⋱⫍26C8=⪎⋱⫍A80","layer":3},{"info":"⊥⪎⋱⫍601=NaN","layer":3},{"info":"⪎⋱⫍A80⪒NaN=NaN","layer":2},{"info":"+⊝⨔NaN=⪎⋱⫍901","layer":1},{"info":"⪎⋱⫍3120+⇶⊼⪎⋱⫍18B8=NaN","layer":3},{"info":"≉NaN=NaN","layer":2},{"info":"⫓⪴⪎⋱⫍1AC6=⪎⋱⫍352023A","layer":3},{"info":"⪎⋱⫍2119⨸⪁⪎⋱⫍1117=⪎⋱⫍6466","layer":3},{"info":"⪎⋱⫍352023A⨽⪎⋱⫍6466=-Inf","layer":2},{"info":"NaN⨪↰⇹-Inf=NaN","layer":1},{"info":"⪎⋱⫍901⋝⋈⪟NaN=NaN","layer":0}]}
{"id":896,"expression_no_base_symbol":"((⪲⇎$3072$)⫡⨏$2288$≧⫂∧$1350$↪⪝)⪢(((⊄⩳↩$4668$)⩚⊴⇥($5255$∧))∸)","expression":"((⪲⇎⪎⋱⫍1524)⫡⨏⪎⋱⫍1070≧⫂∧⪎⋱⫍7CB↪⪝)⪢(((⊄⩳↩⪎⋱⫍2181)⩚⊴⇥(⪎⋱⫍2513∧))∸)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":546265442,"operation_count":9,"complexity_ratio":60696160.222222224,"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":3072,"base":13}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2288,"base":13},"right_expr":{"type":"numeric_atoms","value":1350,"base":13}}}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":4668,"base":13}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":5255,"base":13}}}}},"used_operators":["dWAJyo7jo9","l07mrZUIn9","QMFrweE19q","XPYlsWDdGa","Ph9nP6C5qx","o20kRiQErp","NTOWxs364D","8w2t5hMYqp","z63VuFQld9"],"dependent_operators":["k8jYdgA6NY","9HNa5Wba9A","2DDjHMKMc0","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3072","layer":4},{"info":"compute unary expreesion, input=3072, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=6144","layer":3},{"info":"number node, value=2288","layer":4},{"info":"number node, value=1350","layer":4},{"info":"compute binary expreesion, left_input=2288, right_input=1350, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=877","layer":3},{"info":"compute binary expreesion, left_input=6144, right_input=877, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=33257","layer":2},{"info":"compute unary expreesion, input=33257, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=2034729774","layer":1},{"info":"number node, value=4668","layer":4},{"info":"compute unary expreesion, input=4668, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-14004","layer":3},{"info":"number node, value=5255","layer":4},{"info":"compute unary expreesion, input=5255, 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=-14004, 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 = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":1},{"info":"compute binary expreesion, left_input=2034729774, right_input=177, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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":13,"result_base":13,"text":"((⪲⇎⪎⋱⫍1524)⫡⨏⪎⋱⫍1070≧⫂∧⪎⋱⫍7CB↪⪝)⪢(((⊄⩳↩⪎⋱⫍2181)⩚⊴⇥(⪎⋱⫍2513∧))∸)=NaN","reverse_text":"NaN=((⪲⇎⪎⋱⫍1524)⫡⨏⪎⋱⫍1070≧⫂∧⪎⋱⫍7CB↪⪝)⪢(((⊄⩳↩⪎⋱⫍2181)⩚⊴⇥(⪎⋱⫍2513∧))∸)","cot":[{"info":"⪲⇎⪎⋱⫍1524=⪎⋱⫍2A48","layer":3},{"info":"⪎⋱⫍1070≧⫂∧⪎⋱⫍7CB=⪎⋱⫍526","layer":3},{"info":"⪎⋱⫍2A48⫡⨏⪎⋱⫍526=⪎⋱⫍121A3","layer":2},{"info":"⪎⋱⫍121A3↪⪝=⪎⋱⫍26571711C","layer":1},{"info":"⊄⩳↩⪎⋱⫍2181=⪎⋱⫍-64B3","layer":3},{"info":"⪎⋱⫍2513∧=NaN","layer":3},{"info":"⪎⋱⫍-64B3⩚⊴⇥NaN=NaN","layer":2},{"info":"NaN∸=⪎⋱⫍108","layer":1},{"info":"⪎⋱⫍26571711C⪢⪎⋱⫍108=NaN","layer":0}]}
{"id":897,"expression_no_base_symbol":"(($1834$⩤)∀⇚≩$3083$⇷$1178$⨳⩥⨓($2978$⊭↱$1077$⪨≂$1091$⩷∴$1581$))+⇶⊼(↣≠⋷((↔$2180$)⨎($5470$⫸⊐$3313$)))","expression":"((⪎⋱⫍AB1⩤)∀⇚≩⪎⋱⫍1532⇷⪎⋱⫍6C8⨳⩥⨓(⪎⋱⫍1481⊭↱⪎⋱⫍64B⪨≂⪎⋱⫍65C⩷∴⪎⋱⫍948))+⇶⊼(↣≠⋷((↔⪎⋱⫍CB9)⨎(⪎⋱⫍264A⫸⊐⪎⋱⫍167B)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":56063,"operation_count":12,"complexity_ratio":4671.916666666667,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":1834,"base":13}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":3083,"base":13},"right_expr":{"type":"numeric_atoms","value":1178,"base":13}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":2978,"base":13},"right_expr":{"type":"numeric_atoms","value":1077,"base":13}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1091,"base":13},"right_expr":{"type":"numeric_atoms","value":1581,"base":13}}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":2180,"base":13}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":5470,"base":13},"right_expr":{"type":"numeric_atoms","value":3313,"base":13}}}}},"used_operators":["TpPTUOHfaN","nCS4ZIUYfx","LRNGc0VcxI","Z2TMIBDE3Q","mp7IySMOzn","sdazOOVcIp","COABgblf1C","9FxExcQeMw","Asc51vEJeQ","rJVOvQCfKK","ruOEQAzv1W","mqXw5SEYmG"],"dependent_operators":["AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","XhwjNDsVaA","AHs5Up7iyr","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1834","layer":4},{"info":"compute unary expreesion, input=1834, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-1834","layer":3},{"info":"number node, value=3083","layer":4},{"info":"number node, value=1178","layer":4},{"info":"compute binary expreesion, left_input=3083, right_input=1178, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2356","layer":3},{"info":"compute binary expreesion, left_input=-1834, right_input=2356, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=2978","layer":4},{"info":"number node, value=1077","layer":4},{"info":"compute binary expreesion, left_input=2978, right_input=1077, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-3797","layer":3},{"info":"number node, value=1091","layer":4},{"info":"number node, value=1581","layer":4},{"info":"compute binary expreesion, left_input=1091, right_input=1581, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-1012","layer":3},{"info":"compute binary expreesion, left_input=-3797, right_input=-1012, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-5468","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-5468, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":1},{"info":"number node, value=2180","layer":4},{"info":"compute unary expreesion, input=2180, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-1907","layer":3},{"info":"number node, value=5470","layer":4},{"info":"number node, value=3313","layer":4},{"info":"compute binary expreesion, left_input=5470, right_input=3313, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=13127","layer":3},{"info":"compute binary expreesion, left_input=-1907, right_input=13127, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=13127","layer":2},{"info":"compute unary expreesion, input=13127, 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 = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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":13,"result_base":13,"text":"((⪎⋱⫍AB1⩤)∀⇚≩⪎⋱⫍1532⇷⪎⋱⫍6C8⨳⩥⨓(⪎⋱⫍1481⊭↱⪎⋱⫍64B⪨≂⪎⋱⫍65C⩷∴⪎⋱⫍948))+⇶⊼(↣≠⋷((↔⪎⋱⫍CB9)⨎(⪎⋱⫍264A⫸⊐⪎⋱⫍167B)))=NaN","reverse_text":"NaN=((⪎⋱⫍AB1⩤)∀⇚≩⪎⋱⫍1532⇷⪎⋱⫍6C8⨳⩥⨓(⪎⋱⫍1481⊭↱⪎⋱⫍64B⪨≂⪎⋱⫍65C⩷∴⪎⋱⫍948))+⇶⊼(↣≠⋷((↔⪎⋱⫍CB9)⨎(⪎⋱⫍264A⫸⊐⪎⋱⫍167B)))","cot":[{"info":"⪎⋱⫍AB1⩤=⪎⋱⫍-AB1","layer":3},{"info":"⪎⋱⫍1532⇷⪎⋱⫍6C8=⪎⋱⫍10C3","layer":3},{"info":"⪎⋱⫍-AB1∀⇚≩⪎⋱⫍10C3=NaN","layer":2},{"info":"⪎⋱⫍1481⊭↱⪎⋱⫍64B=⪎⋱⫍-1961","layer":3},{"info":"⪎⋱⫍65C⩷∴⪎⋱⫍948=⪎⋱⫍-5CB","layer":3},{"info":"⪎⋱⫍-1961⪨≂⪎⋱⫍-5CB=⪎⋱⫍-2648","layer":2},{"info":"NaN⨳⩥⨓⪎⋱⫍-2648=NaN","layer":1},{"info":"↔⪎⋱⫍CB9=⪎⋱⫍-B39","layer":3},{"info":"⪎⋱⫍264A⫸⊐⪎⋱⫍167B=⪎⋱⫍5C8A","layer":3},{"info":"⪎⋱⫍-B39⨎⪎⋱⫍5C8A=⪎⋱⫍5C8A","layer":2},{"info":"↣≠⋷⪎⋱⫍5C8A=NaN","layer":1},{"info":"NaN+⇶⊼NaN=NaN","layer":0}]}
{"id":898,"expression_no_base_symbol":"(⪲⇎(⪲⇎$1443$)⇷(≉$1199$))⋷(+⊝⨔(⩦⩻⨪(⪲⇎$2594$)))","expression":"(⪲⇎(⪲⇎⪎⋱⫍870)⇷(≉⪎⋱⫍713))⋷(+⊝⨔(⩦⩻⨪(⪲⇎⪎⋱⫍1247)))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":40464,"operation_count":8,"complexity_ratio":5058.0,"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":1443,"base":13}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1199,"base":13}}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":2594,"base":13}}}}},"used_operators":["23Mk6UjR3U","XPYlsWDdGa","mp7IySMOzn","e1ybzncUwg","DhbWaqg5eL","2td37pGCOC"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍-19C2","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1443","layer":4},{"info":"compute unary expreesion, input=1443, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=2886","layer":3},{"info":"number node, value=1199","layer":4},{"info":"compute unary expreesion, input=1199, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=1730","layer":3},{"info":"compute binary expreesion, left_input=2886, right_input=1730, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3460","layer":2},{"info":"compute unary expreesion, input=3460, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=6920","layer":1},{"info":"number node, value=2594","layer":4},{"info":"compute unary expreesion, input=2594, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=5188","layer":3},{"info":"compute unary expreesion, input=5188, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=5188","layer":2},{"info":"compute unary expreesion, input=5188, 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=6920, right_input=1522, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-3876","layer":0}],"base":13,"result_base":13,"text":"(⪲⇎(⪲⇎⪎⋱⫍870)⇷(≉⪎⋱⫍713))⋷(+⊝⨔(⩦⩻⨪(⪲⇎⪎⋱⫍1247)))=⪎⋱⫍-19C2","reverse_text":"⪎⋱⫍-19C2=(⪲⇎(⪲⇎⪎⋱⫍870)⇷(≉⪎⋱⫍713))⋷(+⊝⨔(⩦⩻⨪(⪲⇎⪎⋱⫍1247)))","cot":[{"info":"⪲⇎⪎⋱⫍870=⪎⋱⫍1410","layer":3},{"info":"≉⪎⋱⫍713=⪎⋱⫍A31","layer":3},{"info":"⪎⋱⫍1410⇷⪎⋱⫍A31=⪎⋱⫍1762","layer":2},{"info":"⪲⇎⪎⋱⫍1762=⪎⋱⫍31C4","layer":1},{"info":"⪲⇎⪎⋱⫍1247=⪎⋱⫍2491","layer":3},{"info":"⩦⩻⨪⪎⋱⫍2491=⪎⋱⫍2491","layer":2},{"info":"+⊝⨔⪎⋱⫍2491=⪎⋱⫍901","layer":1},{"info":"⪎⋱⫍31C4⋷⪎⋱⫍901=⪎⋱⫍-19C2","layer":0}]}
{"id":899,"expression_no_base_symbol":"((⊥($1306$⪨≂$3548$))⩚⊴⇥($2132$↙$2077$⊭↱($3664$⨸⪁$1870$)))⊴((⇁⨣⪵($1481$∧))⪢(($1456$⨓$1519$)⨪↰⇹($4304$⇋≉)))","expression":"((⊥(⪎⋱⫍796⪨≂⪎⋱⫍17CC))⩚⊴⇥(⪎⋱⫍C80↙⪎⋱⫍C3A⊭↱(⪎⋱⫍188B⨸⪁⪎⋱⫍B0B)))⊴((⇁⨣⪵(⪎⋱⫍89C∧))⪢((⪎⋱⫍880⨓⪎⋱⫍8CB)⨪↰⇹(⪎⋱⫍1C61⇋≉)))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":6684,"operation_count":13,"complexity_ratio":514.1538461538462,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1306,"base":13},"right_expr":{"type":"numeric_atoms","value":3548,"base":13}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2132,"base":13},"right_expr":{"type":"numeric_atoms","value":2077,"base":13}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":3664,"base":13},"right_expr":{"type":"numeric_atoms","value":1870,"base":13}}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":1481,"base":13}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1456,"base":13},"right_expr":{"type":"numeric_atoms","value":1519,"base":13}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":4304,"base":13}}}}},"used_operators":["Nsiff2A1zJ","NTOWxs364D","Q3PJZHRvZv","sdazOOVcIp","COABgblf1C","yyfyN0ffXY","g55IO6H4Gj","dWAJyo7jo9","inkyxCbjAn","z63VuFQld9","tmPS8pqC7x","3ViojmjbAp","XIabStNQrY"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","fu6greOZ01","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","k8jYdgA6NY","B5M0gjZbta","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","rJVOvQCfKK","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1306","layer":4},{"info":"number node, value=3548","layer":4},{"info":"compute binary expreesion, left_input=1306, right_input=3548, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-4382","layer":3},{"info":"compute unary expreesion, input=-4382, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"number node, value=2132","layer":4},{"info":"number node, value=2077","layer":4},{"info":"compute binary expreesion, left_input=2132, right_input=2077, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-6231","layer":3},{"info":"number node, value=3664","layer":4},{"info":"number node, value=1870","layer":4},{"info":"compute binary expreesion, left_input=3664, right_input=1870, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=11068","layer":3},{"info":"compute binary expreesion, left_input=-6231, right_input=11068, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=34603","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=34603, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":1},{"info":"number node, value=1481","layer":4},{"info":"compute unary expreesion, input=1481, 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 = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"number node, value=1456","layer":4},{"info":"number node, value=1519","layer":4},{"info":"compute binary expreesion, left_input=1456, right_input=1519, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1522","layer":3},{"info":"number node, value=4304","layer":4},{"info":"compute unary expreesion, input=4304, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=8510","layer":3},{"info":"compute binary expreesion, left_input=-1522, right_input=8510, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=-1522","layer":2},{"info":"compute binary expreesion, left_input=nan, 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 = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⊥(⪎⋱⫍796⪨≂⪎⋱⫍17CC))⩚⊴⇥(⪎⋱⫍C80↙⪎⋱⫍C3A⊭↱(⪎⋱⫍188B⨸⪁⪎⋱⫍B0B)))⊴((⇁⨣⪵(⪎⋱⫍89C∧))⪢((⪎⋱⫍880⨓⪎⋱⫍8CB)⨪↰⇹(⪎⋱⫍1C61⇋≉)))=NaN","reverse_text":"NaN=((⊥(⪎⋱⫍796⪨≂⪎⋱⫍17CC))⩚⊴⇥(⪎⋱⫍C80↙⪎⋱⫍C3A⊭↱(⪎⋱⫍188B⨸⪁⪎⋱⫍B0B)))⊴((⇁⨣⪵(⪎⋱⫍89C∧))⪢((⪎⋱⫍880⨓⪎⋱⫍8CB)⨪↰⇹(⪎⋱⫍1C61⇋≉)))","cot":[{"info":"⪎⋱⫍796⪨≂⪎⋱⫍17CC=⪎⋱⫍-1CC1","layer":3},{"info":"⊥⪎⋱⫍-1CC1=NaN","layer":2},{"info":"⪎⋱⫍C80↙⪎⋱⫍C3A=⪎⋱⫍-2AB4","layer":3},{"info":"⪎⋱⫍188B⨸⪁⪎⋱⫍B0B=⪎⋱⫍5065","layer":3},{"info":"⪎⋱⫍-2AB4⊭↱⪎⋱⫍5065=⪎⋱⫍1299A","layer":2},{"info":"NaN⩚⊴⇥⪎⋱⫍1299A=NaN","layer":1},{"info":"⪎⋱⫍89C∧=NaN","layer":3},{"info":"⇁⨣⪵NaN=NaN","layer":2},{"info":"⪎⋱⫍880⨓⪎⋱⫍8CB=⪎⋱⫍-901","layer":3},{"info":"⪎⋱⫍1C61⇋≉=⪎⋱⫍3B48","layer":3},{"info":"⪎⋱⫍-901⨪↰⇹⪎⋱⫍3B48=⪎⋱⫍-901","layer":2},{"info":"NaN⪢⪎⋱⫍-901=NaN","layer":1},{"info":"NaN⊴NaN=NaN","layer":0}]}
{"id":900,"expression_no_base_symbol":"((⇁⨣⪵(⊙↵-$6821$))⪒($6674$⨓$3052$/(↣≠⋷$3524$)))⇋≉","expression":"((⇁⨣⪵(⊙↵-⪎⋱⫍3149))⪒(⪎⋱⫍3065⨓⪎⋱⫍150A/(↣≠⋷⪎⋱⫍17B1)))⇋≉","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":10089,"operation_count":7,"complexity_ratio":1441.2857142857142,"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":6821,"base":13}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":6674,"base":13},"right_expr":{"type":"numeric_atoms","value":3052,"base":13}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":3524,"base":13}}}}},"used_operators":["XIabStNQrY","f6k1SAg4EE","inkyxCbjAn","oWn0xqSxBt","XhwjNDsVaA","3ViojmjbAp","Asc51vEJeQ"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","XhwjNDsVaA","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=6821","layer":4},{"info":"compute unary expreesion, input=6821, 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 = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=34","layer":2},{"info":"number node, value=6674","layer":4},{"info":"number node, value=3052","layer":4},{"info":"compute binary expreesion, left_input=6674, right_input=3052, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3055","layer":3},{"info":"number node, value=3524","layer":4},{"info":"compute unary expreesion, input=3524, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-3055, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=34, 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 = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⇁⨣⪵(⊙↵-⪎⋱⫍3149))⪒(⪎⋱⫍3065⨓⪎⋱⫍150A/(↣≠⋷⪎⋱⫍17B1)))⇋≉=NaN","reverse_text":"NaN=((⇁⨣⪵(⊙↵-⪎⋱⫍3149))⪒(⪎⋱⫍3065⨓⪎⋱⫍150A/(↣≠⋷⪎⋱⫍17B1)))⇋≉","cot":[{"info":"⊙↵-⪎⋱⫍3149=⪎⋱⫍-1","layer":3},{"info":"⇁⨣⪵⪎⋱⫍-1=⪎⋱⫍28","layer":2},{"info":"⪎⋱⫍3065⨓⪎⋱⫍150A=⪎⋱⫍-1510","layer":3},{"info":"↣≠⋷⪎⋱⫍17B1=NaN","layer":3},{"info":"⪎⋱⫍-1510/NaN=NaN","layer":2},{"info":"⪎⋱⫍28⪒NaN=NaN","layer":1},{"info":"NaN⇋≉=NaN","layer":0}]}
{"id":901,"expression_no_base_symbol":"((⫛⫱⨽($1002$⇷$6266$))+$1132$⪘⫢$3885$⪒($2852$↛⩡⫤))*(↔($4196$⋝⋈⪟$1735$⪠⩆⊳))","expression":"((⫛⫱⨽(⪎⋱⫍5C1⇷⪎⋱⫍2B10))+⪎⋱⫍691⪘⫢⪎⋱⫍19CB⪒(⪎⋱⫍13B5↛⩡⫤))*(↔(⪎⋱⫍1BAA⋝⋈⪟⪎⋱⫍A36⪠⩆⊳))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":24973,"operation_count":10,"complexity_ratio":2497.3,"tree":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1002,"base":13},"right_expr":{"type":"numeric_atoms","value":6266,"base":13}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1132,"base":13},"right_expr":{"type":"numeric_atoms","value":3885,"base":13}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":2852,"base":13}}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":4196,"base":13},"right_expr":{"type":"numeric_atoms","value":1735,"base":13}}}}},"used_operators":["9HNa5Wba9A","W4YGzv6Whe","DlLNRPXxWL","mp7IySMOzn","f6k1SAg4EE","oacrs7FA3X","FU0Cs4j7VP","ruOEQAzv1W","JLbD19bQDL","2DDjHMKMc0"],"dependent_operators":["W4YGzv6Whe","rGHVDoGpnC","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍545383A7","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1002","layer":4},{"info":"number node, value=6266","layer":4},{"info":"compute binary expreesion, left_input=1002, right_input=6266, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=12532","layer":3},{"info":"compute unary expreesion, input=12532, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"number node, value=1132","layer":4},{"info":"number node, value=3885","layer":4},{"info":"compute binary expreesion, left_input=1132, right_input=3885, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2140","layer":3},{"info":"number node, value=2852","layer":4},{"info":"compute unary expreesion, input=2852, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-426741","layer":3},{"info":"compute binary expreesion, left_input=2140, right_input=-426741, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=424601","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=424601, op_id = W4YGzv6Whe binary_op_definition= 'None', output=424601","layer":1},{"info":"number node, value=4196","layer":4},{"info":"number node, value=1735","layer":4},{"info":"compute binary expreesion, left_input=4196, right_input=1735, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=4196","layer":3},{"info":"compute unary expreesion, input=4196, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=789","layer":1},{"info":"compute binary expreesion, left_input=424601, right_input=789, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=335010189","layer":0}],"base":13,"result_base":13,"text":"((⫛⫱⨽(⪎⋱⫍5C1⇷⪎⋱⫍2B10))+⪎⋱⫍691⪘⫢⪎⋱⫍19CB⪒(⪎⋱⫍13B5↛⩡⫤))*(↔(⪎⋱⫍1BAA⋝⋈⪟⪎⋱⫍A36⪠⩆⊳))=⪎⋱⫍545383A7","reverse_text":"⪎⋱⫍545383A7=((⫛⫱⨽(⪎⋱⫍5C1⇷⪎⋱⫍2B10))+⪎⋱⫍691⪘⫢⪎⋱⫍19CB⪒(⪎⋱⫍13B5↛⩡⫤))*(↔(⪎⋱⫍1BAA⋝⋈⪟⪎⋱⫍A36⪠⩆⊳))","cot":[{"info":"⪎⋱⫍5C1⇷⪎⋱⫍2B10=⪎⋱⫍5920","layer":3},{"info":"⫛⫱⨽⪎⋱⫍5920=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍691⪘⫢⪎⋱⫍19CB=⪎⋱⫍C88","layer":3},{"info":"⪎⋱⫍13B5↛⩡⫤=⪎⋱⫍-11C313","layer":3},{"info":"⪎⋱⫍C88⪒⪎⋱⫍-11C313=⪎⋱⫍11B358","layer":2},{"info":"⪎⋱⫍0+⪎⋱⫍11B358=⪎⋱⫍11B358","layer":1},{"info":"⪎⋱⫍1BAA⋝⋈⪟⪎⋱⫍A36=⪎⋱⫍1BAA","layer":3},{"info":"⪎⋱⫍1BAA⪠⩆⊳=⪎⋱⫍0","layer":2},{"info":"↔⪎⋱⫍0=⪎⋱⫍489","layer":1},{"info":"⪎⋱⫍11B358*⪎⋱⫍489=⪎⋱⫍545383A7","layer":0}]}
{"id":902,"expression_no_base_symbol":"(($2610$⪘⫢$1243$)⨪↰⇹(≉$1234$)+(($3590$⨳⩥⨓$3174$)∧))≣⋋","expression":"((⪎⋱⫍125A⪘⫢⪎⋱⫍748)⨪↰⇹(≉⪎⋱⫍73C)+((⪎⋱⫍1832⨳⩥⨓⪎⋱⫍15A2)∧))≣⋋","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":5639,"operation_count":7,"complexity_ratio":805.5714285714286,"tree":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2610,"base":13},"right_expr":{"type":"numeric_atoms","value":1243,"base":13}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1234,"base":13}}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":3590,"base":13},"right_expr":{"type":"numeric_atoms","value":3174,"base":13}}}}},"used_operators":["Tcnh7f0tEr","W4YGzv6Whe","tmPS8pqC7x","oacrs7FA3X","e1ybzncUwg","z63VuFQld9","nCS4ZIUYfx"],"dependent_operators":["dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","rJVOvQCfKK","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2610","layer":4},{"info":"number node, value=1243","layer":4},{"info":"compute binary expreesion, left_input=2610, right_input=1243, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=5096","layer":3},{"info":"number node, value=1234","layer":4},{"info":"compute unary expreesion, input=1234, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=1765","layer":3},{"info":"compute binary expreesion, left_input=5096, right_input=1765, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=5096","layer":2},{"info":"number node, value=3590","layer":4},{"info":"number node, value=3174","layer":4},{"info":"compute binary expreesion, left_input=3590, right_input=3174, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-416","layer":3},{"info":"compute unary expreesion, input=-416, 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=5096, right_input=0, op_id = W4YGzv6Whe binary_op_definition= 'None', output=5096","layer":1},{"info":"compute unary expreesion, input=5096, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍125A⪘⫢⪎⋱⫍748)⨪↰⇹(≉⪎⋱⫍73C)+((⪎⋱⫍1832⨳⩥⨓⪎⋱⫍15A2)∧))≣⋋=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=((⪎⋱⫍125A⪘⫢⪎⋱⫍748)⨪↰⇹(≉⪎⋱⫍73C)+((⪎⋱⫍1832⨳⩥⨓⪎⋱⫍15A2)∧))≣⋋","cot":[{"info":"⪎⋱⫍125A⪘⫢⪎⋱⫍748=⪎⋱⫍2420","layer":3},{"info":"≉⪎⋱⫍73C=⪎⋱⫍A5A","layer":3},{"info":"⪎⋱⫍2420⨪↰⇹⪎⋱⫍A5A=⪎⋱⫍2420","layer":2},{"info":"⪎⋱⫍1832⨳⩥⨓⪎⋱⫍15A2=⪎⋱⫍-260","layer":3},{"info":"⪎⋱⫍-260∧=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍2420+⪎⋱⫍0=⪎⋱⫍2420","layer":1},{"info":"⪎⋱⫍2420≣⋋=⪎⋱⫍0","layer":0}]}
{"id":903,"expression_no_base_symbol":"($1938$⨐⩸⫘$4422$⫡⨏(⋗⩬⋾$9542$))⪢(⩦⩻⨪($7548$⩨$3634$))⩷∴(($3914$∼$2993$⊠≄⫣)⪐)","expression":"(⪎⋱⫍B61⨐⩸⫘⪎⋱⫍2022⫡⨏(⋗⩬⋾⪎⋱⫍4460))⪢(⩦⩻⨪(⪎⋱⫍3588⩨⪎⋱⫍1867))⩷∴((⪎⋱⫍1A21∼⪎⋱⫍1493⊠≄⫣)⪐)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":108,"operation_count":10,"complexity_ratio":10.8,"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":1938,"base":13},"right_expr":{"type":"numeric_atoms","value":4422,"base":13}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":9542,"base":13}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":7548,"base":13},"right_expr":{"type":"numeric_atoms","value":3634,"base":13}}}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":3914,"base":13},"right_expr":{"type":"numeric_atoms","value":2993,"base":13}}}}},"used_operators":["9FxExcQeMw","dWAJyo7jo9","QMFrweE19q","fu6greOZ01","DpFCA1CohY","2td37pGCOC","2DlMacCsIx","eH2TOUuTDT","DIvbN7qnHd","DyGG3AbaNP"],"dependent_operators":["rysDP5nf3Z","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1938","layer":4},{"info":"number node, value=4422","layer":4},{"info":"compute binary expreesion, left_input=1938, right_input=4422, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=9542","layer":4},{"info":"compute unary expreesion, input=9542, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-28626","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-28626, op_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=7548","layer":4},{"info":"number node, value=3634","layer":4},{"info":"compute binary expreesion, left_input=7548, right_input=3634, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=0","layer":1},{"info":"number node, value=3914","layer":4},{"info":"number node, value=2993","layer":4},{"info":"compute binary expreesion, left_input=3914, right_input=2993, 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 = DIvbN7qnHd, unary_op_definition = '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 = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍B61⨐⩸⫘⪎⋱⫍2022⫡⨏(⋗⩬⋾⪎⋱⫍4460))⪢(⩦⩻⨪(⪎⋱⫍3588⩨⪎⋱⫍1867))⩷∴((⪎⋱⫍1A21∼⪎⋱⫍1493⊠≄⫣)⪐)=NaN","reverse_text":"NaN=(⪎⋱⫍B61⨐⩸⫘⪎⋱⫍2022⫡⨏(⋗⩬⋾⪎⋱⫍4460))⪢(⩦⩻⨪(⪎⋱⫍3588⩨⪎⋱⫍1867))⩷∴((⪎⋱⫍1A21∼⪎⋱⫍1493⊠≄⫣)⪐)","cot":[{"info":"⪎⋱⫍B61⨐⩸⫘⪎⋱⫍2022=NaN","layer":3},{"info":"⋗⩬⋾⪎⋱⫍4460=⪎⋱⫍-10050","layer":3},{"info":"NaN⫡⨏⪎⋱⫍-10050=NaN","layer":2},{"info":"⪎⋱⫍3588⩨⪎⋱⫍1867=⪎⋱⫍0","layer":3},{"info":"⩦⩻⨪⪎⋱⫍0=⪎⋱⫍0","layer":2},{"info":"NaN⪢⪎⋱⫍0=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍1A21∼⪎⋱⫍1493=NaN","layer":3},{"info":"NaN⊠≄⫣=NaN","layer":2},{"info":"NaN⪐=NaN","layer":1},{"info":"⪎⋱⫍0⩷∴NaN=NaN","layer":0}]}
{"id":904,"expression_no_base_symbol":"≉(⨵≀≌($2645$⨽$2139$⪨≂$2109$∼$4396$))","expression":"≉(⨵≀≌(⪎⋱⫍1286⨽⪎⋱⫍C87⪨≂⪎⋱⫍C63∼⪎⋱⫍2002))","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":2706,"operation_count":5,"complexity_ratio":541.2,"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":2645,"base":13},"right_expr":{"type":"numeric_atoms","value":2139,"base":13}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2109,"base":13},"right_expr":{"type":"numeric_atoms","value":4396,"base":13}}}}},"used_operators":["e1ybzncUwg","srAu1WTS94","sdazOOVcIp","8HhzD0ZcuI","DyGG3AbaNP"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2645","layer":4},{"info":"number node, value=2139","layer":4},{"info":"compute binary expreesion, left_input=2645, right_input=2139, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-20993178","layer":3},{"info":"number node, value=2109","layer":4},{"info":"number node, value=4396","layer":4},{"info":"compute binary expreesion, left_input=2109, right_input=4396, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-20993178, 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 = 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 = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"≉(⨵≀≌(⪎⋱⫍1286⨽⪎⋱⫍C87⪨≂⪎⋱⫍C63∼⪎⋱⫍2002))=NaN","reverse_text":"NaN=≉(⨵≀≌(⪎⋱⫍1286⨽⪎⋱⫍C87⪨≂⪎⋱⫍C63∼⪎⋱⫍2002))","cot":[{"info":"⪎⋱⫍1286⨽⪎⋱⫍C87=⪎⋱⫍-44704CB","layer":3},{"info":"⪎⋱⫍C63∼⪎⋱⫍2002=NaN","layer":3},{"info":"⪎⋱⫍-44704CB⪨≂NaN=NaN","layer":2},{"info":"⨵≀≌NaN=NaN","layer":1},{"info":"≉NaN=NaN","layer":0}]}
{"id":905,"expression_no_base_symbol":"(($1022$⇼⇔∾$1716$)⪘⫢($2494$*$2513$)%$2570$⨰$1540$⨎($4016$⇼⇔∾$3998$))≧⫂∧(+⊝⨔(($2456$⨓$6158$)⩠))","expression":"((⪎⋱⫍608⇼⇔∾⪎⋱⫍A20)⪘⫢(⪎⋱⫍119B*⪎⋱⫍11B4)%⪎⋱⫍1229⨰⪎⋱⫍916⨎(⪎⋱⫍1A9C⇼⇔∾⪎⋱⫍1A87))≧⫂∧(+⊝⨔((⪎⋱⫍116C⨓⪎⋱⫍2A59)⩠))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":8812,"operation_count":11,"complexity_ratio":801.0909090909091,"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":1022,"base":13},"right_expr":{"type":"numeric_atoms","value":1716,"base":13}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2494,"base":13},"right_expr":{"type":"numeric_atoms","value":2513,"base":13}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2570,"base":13},"right_expr":{"type":"numeric_atoms","value":1540,"base":13}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":4016,"base":13},"right_expr":{"type":"numeric_atoms","value":3998,"base":13}}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2456,"base":13},"right_expr":{"type":"numeric_atoms","value":6158,"base":13}}}}},"used_operators":["Ph9nP6C5qx","k8jYdgA6NY","oacrs7FA3X","tifHPKVTfV","9HNa5Wba9A","rJVOvQCfKK","eewbuw0ToL","DhbWaqg5eL","sJAwomhLZr","3ViojmjbAp"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"⪎⋱⫍629","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1022","layer":4},{"info":"number node, value=1716","layer":4},{"info":"compute binary expreesion, left_input=1022, right_input=1716, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=694","layer":3},{"info":"number node, value=2494","layer":4},{"info":"number node, value=2513","layer":4},{"info":"compute binary expreesion, left_input=2494, right_input=2513, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=6267422","layer":3},{"info":"compute binary expreesion, left_input=694, right_input=6267422, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=1264","layer":2},{"info":"number node, value=2570","layer":4},{"info":"number node, value=1540","layer":4},{"info":"compute binary expreesion, left_input=2570, right_input=1540, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1040","layer":3},{"info":"number node, value=4016","layer":4},{"info":"number node, value=3998","layer":4},{"info":"compute binary expreesion, left_input=4016, right_input=3998, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-18","layer":3},{"info":"compute binary expreesion, left_input=1040, right_input=-18, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-18","layer":2},{"info":"compute binary expreesion, left_input=1264, right_input=-18, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-14","layer":1},{"info":"number node, value=2456","layer":4},{"info":"number node, value=6158","layer":4},{"info":"compute binary expreesion, left_input=2456, right_input=6158, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-6161","layer":3},{"info":"compute unary expreesion, input=-6161, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=24853","layer":2},{"info":"compute unary expreesion, input=24853, 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=-14, right_input=1522, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1049","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍608⇼⇔∾⪎⋱⫍A20)⪘⫢(⪎⋱⫍119B*⪎⋱⫍11B4)%⪎⋱⫍1229⨰⪎⋱⫍916⨎(⪎⋱⫍1A9C⇼⇔∾⪎⋱⫍1A87))≧⫂∧(+⊝⨔((⪎⋱⫍116C⨓⪎⋱⫍2A59)⩠))=⪎⋱⫍629","reverse_text":"⪎⋱⫍629=((⪎⋱⫍608⇼⇔∾⪎⋱⫍A20)⪘⫢(⪎⋱⫍119B*⪎⋱⫍11B4)%⪎⋱⫍1229⨰⪎⋱⫍916⨎(⪎⋱⫍1A9C⇼⇔∾⪎⋱⫍1A87))≧⫂∧(+⊝⨔((⪎⋱⫍116C⨓⪎⋱⫍2A59)⩠))","cot":[{"info":"⪎⋱⫍608⇼⇔∾⪎⋱⫍A20=⪎⋱⫍415","layer":3},{"info":"⪎⋱⫍119B*⪎⋱⫍11B4=⪎⋱⫍13B5945","layer":3},{"info":"⪎⋱⫍415⪘⫢⪎⋱⫍13B5945=⪎⋱⫍763","layer":2},{"info":"⪎⋱⫍1229⨰⪎⋱⫍916=⪎⋱⫍620","layer":3},{"info":"⪎⋱⫍1A9C⇼⇔∾⪎⋱⫍1A87=⪎⋱⫍-15","layer":3},{"info":"⪎⋱⫍620⨎⪎⋱⫍-15=⪎⋱⫍-15","layer":2},{"info":"⪎⋱⫍763%⪎⋱⫍-15=⪎⋱⫍-11","layer":1},{"info":"⪎⋱⫍116C⨓⪎⋱⫍2A59=⪎⋱⫍-2A5C","layer":3},{"info":"⪎⋱⫍-2A5C⩠=⪎⋱⫍B40A","layer":2},{"info":"+⊝⨔⪎⋱⫍B40A=⪎⋱⫍901","layer":1},{"info":"⪎⋱⫍-11≧⫂∧⪎⋱⫍901=⪎⋱⫍629","layer":0}]}
{"id":906,"expression_no_base_symbol":"(≦∁($2527$⋷$1873$))⪛($3037$⋥≓≎$1455$⋷$1932$⫥∨⫟$1077$)*(∂(($3016$-$1002$)⪄(⨈⫕$1732$)))","expression":"(≦∁(⪎⋱⫍11C5⋷⪎⋱⫍B11))⪛(⪎⋱⫍14C8⋥≓≎⪎⋱⫍87C⋷⪎⋱⫍B58⫥∨⫟⪎⋱⫍64B)*(∂((⪎⋱⫍14B0-⪎⋱⫍5C1)⪄(⨈⫕⪎⋱⫍A33)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1163,"operation_count":11,"complexity_ratio":105.72727272727273,"tree":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":2527,"base":13},"right_expr":{"type":"numeric_atoms","value":1873,"base":13}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":3037,"base":13},"right_expr":{"type":"numeric_atoms","value":1455,"base":13}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1932,"base":13},"right_expr":{"type":"numeric_atoms","value":1077,"base":13}}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":3016,"base":13},"right_expr":{"type":"numeric_atoms","value":1002,"base":13}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":1732,"base":13}}}}},"used_operators":["9HNa5Wba9A","uFcxV4UQCh","9ICcGScMcE","23Mk6UjR3U","Qy55tPpLXF","KYD54nUTWz","Uaa54Peajs","SUmda5xLS4","rysDP5nf3Z","megm06wKyl"],"dependent_operators":["W4YGzv6Whe","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q"],"result":"⪎⋱⫍5701A00","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2527","layer":4},{"info":"number node, value=1873","layer":4},{"info":"compute binary expreesion, left_input=2527, right_input=1873, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=1219","layer":3},{"info":"compute unary expreesion, input=1219, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1219","layer":2},{"info":"number node, value=3037","layer":4},{"info":"number node, value=1455","layer":4},{"info":"compute binary expreesion, left_input=3037, right_input=1455, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-94","layer":3},{"info":"number node, value=1932","layer":4},{"info":"number node, value=1077","layer":4},{"info":"compute binary expreesion, left_input=1932, right_input=1077, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-94, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=188","layer":2},{"info":"compute binary expreesion, left_input=1219, right_input=188, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=91","layer":1},{"info":"number node, value=3016","layer":4},{"info":"number node, value=1002","layer":4},{"info":"compute binary expreesion, left_input=3016, right_input=1002, op_id = rysDP5nf3Z binary_op_definition= 'None', output=2014","layer":3},{"info":"number node, value=1732","layer":4},{"info":"compute unary expreesion, input=1732, 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=2014, right_input=-21, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-294077","layer":2},{"info":"compute unary expreesion, input=-294077, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=293813","layer":1},{"info":"compute binary expreesion, left_input=91, right_input=293813, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=26736983","layer":0}],"base":13,"result_base":13,"text":"(≦∁(⪎⋱⫍11C5⋷⪎⋱⫍B11))⪛(⪎⋱⫍14C8⋥≓≎⪎⋱⫍87C⋷⪎⋱⫍B58⫥∨⫟⪎⋱⫍64B)*(∂((⪎⋱⫍14B0-⪎⋱⫍5C1)⪄(⨈⫕⪎⋱⫍A33)))=⪎⋱⫍5701A00","reverse_text":"⪎⋱⫍5701A00=(≦∁(⪎⋱⫍11C5⋷⪎⋱⫍B11))⪛(⪎⋱⫍14C8⋥≓≎⪎⋱⫍87C⋷⪎⋱⫍B58⫥∨⫟⪎⋱⫍64B)*(∂((⪎⋱⫍14B0-⪎⋱⫍5C1)⪄(⨈⫕⪎⋱⫍A33)))","cot":[{"info":"⪎⋱⫍11C5⋷⪎⋱⫍B11=⪎⋱⫍72A","layer":3},{"info":"≦∁⪎⋱⫍72A=⪎⋱⫍72A","layer":2},{"info":"⪎⋱⫍14C8⋥≓≎⪎⋱⫍87C=⪎⋱⫍-73","layer":3},{"info":"⪎⋱⫍B58⫥∨⫟⪎⋱⫍64B=NaN","layer":3},{"info":"⪎⋱⫍-73⋷NaN=⪎⋱⫍116","layer":2},{"info":"⪎⋱⫍72A⪛⪎⋱⫍116=⪎⋱⫍70","layer":1},{"info":"⪎⋱⫍14B0-⪎⋱⫍5C1=⪎⋱⫍BBC","layer":3},{"info":"⨈⫕⪎⋱⫍A33=⪎⋱⫍-18","layer":3},{"info":"⪎⋱⫍BBC⪄⪎⋱⫍-18=⪎⋱⫍-A3B14","layer":2},{"info":"∂⪎⋱⫍-A3B14=⪎⋱⫍A3970","layer":1},{"info":"⪎⋱⫍70*⪎⋱⫍A3970=⪎⋱⫍5701A00","layer":0}]}
{"id":907,"expression_no_base_symbol":"(($2265$⪢$2372$⪐)⊭↱($1052$⋝⋈⪟$1467$⫡⨏$1204$∀⇚≩$8969$))∑⇟⊟(⨰⫟⨤($1650$∑⇟⊟$4340$↪⪝))","expression":"((⪎⋱⫍1053⪢⪎⋱⫍1106⪐)⊭↱(⪎⋱⫍62C⋝⋈⪟⪎⋱⫍88B⫡⨏⪎⋱⫍718∀⇚≩⪎⋱⫍410C))∑⇟⊟(⨰⫟⨤(⪎⋱⫍99C∑⇟⊟⪎⋱⫍1C8B↪⪝))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":10854,"operation_count":10,"complexity_ratio":1085.4,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2265,"base":13},"right_expr":{"type":"numeric_atoms","value":2372,"base":13}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1052,"base":13},"right_expr":{"type":"numeric_atoms","value":1467,"base":13}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1204,"base":13},"right_expr":{"type":"numeric_atoms","value":8969,"base":13}}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1650,"base":13},"right_expr":{"type":"numeric_atoms","value":4340,"base":13}}}}},"used_operators":["U7g4x0WXJJ","COABgblf1C","eH2TOUuTDT","dWAJyo7jo9","QMFrweE19q","2DDjHMKMc0","LRNGc0VcxI","Tw270M8GLb","l07mrZUIn9"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","9HNa5Wba9A","2DDjHMKMc0"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2265","layer":4},{"info":"number node, value=2372","layer":4},{"info":"compute binary expreesion, left_input=2265, right_input=2372, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=nan","layer":2},{"info":"number node, value=1052","layer":4},{"info":"number node, value=1467","layer":4},{"info":"compute binary expreesion, left_input=1052, right_input=1467, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1052","layer":3},{"info":"number node, value=1204","layer":4},{"info":"number node, value=8969","layer":4},{"info":"compute binary expreesion, left_input=1204, right_input=8969, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=1052, right_input=nan, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":1},{"info":"number node, value=1650","layer":4},{"info":"number node, value=4340","layer":4},{"info":"compute binary expreesion, left_input=1650, right_input=4340, 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 = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=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":13,"result_base":13,"text":"((⪎⋱⫍1053⪢⪎⋱⫍1106⪐)⊭↱(⪎⋱⫍62C⋝⋈⪟⪎⋱⫍88B⫡⨏⪎⋱⫍718∀⇚≩⪎⋱⫍410C))∑⇟⊟(⨰⫟⨤(⪎⋱⫍99C∑⇟⊟⪎⋱⫍1C8B↪⪝))=NaN","reverse_text":"NaN=((⪎⋱⫍1053⪢⪎⋱⫍1106⪐)⊭↱(⪎⋱⫍62C⋝⋈⪟⪎⋱⫍88B⫡⨏⪎⋱⫍718∀⇚≩⪎⋱⫍410C))∑⇟⊟(⨰⫟⨤(⪎⋱⫍99C∑⇟⊟⪎⋱⫍1C8B↪⪝))","cot":[{"info":"⪎⋱⫍1053⪢⪎⋱⫍1106=NaN","layer":3},{"info":"NaN⪐=NaN","layer":2},{"info":"⪎⋱⫍62C⋝⋈⪟⪎⋱⫍88B=⪎⋱⫍62C","layer":3},{"info":"⪎⋱⫍718∀⇚≩⪎⋱⫍410C=NaN","layer":3},{"info":"⪎⋱⫍62C⫡⨏NaN=NaN","layer":2},{"info":"NaN⊭↱NaN=NaN","layer":1},{"info":"⪎⋱⫍99C∑⇟⊟⪎⋱⫍1C8B=NaN","layer":3},{"info":"NaN↪⪝=NaN","layer":2},{"info":"⨰⫟⨤NaN=NaN","layer":1},{"info":"NaN∑⇟⊟NaN=NaN","layer":0}]}
{"id":908,"expression_no_base_symbol":"((⨵≀≌$1054$∼$1810$)-(↯⪼(≉$3500$)))⨎($1149$⨵⪆$6162$)⇷($2962$⨁⊸⫻)⩚⊴⇥($1228$⨐⩸⫘$7602$⊉≛↸$3283$⨓$5354$)","expression":"((⨵≀≌⪎⋱⫍631∼⪎⋱⫍A93)-(↯⪼(≉⪎⋱⫍1793)))⨎(⪎⋱⫍6A5⨵⪆⪎⋱⫍2A60)⇷(⪎⋱⫍146B⨁⊸⫻)⩚⊴⇥(⪎⋱⫍736⨐⩸⫘⪎⋱⫍35CA⊉≛↸⪎⋱⫍1657⨓⪎⋱⫍258B)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":7674,"operation_count":13,"complexity_ratio":590.3076923076923,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1054,"base":13},"right_expr":{"type":"numeric_atoms","value":1810,"base":13}}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":3500,"base":13}}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1149,"base":13},"right_expr":{"type":"numeric_atoms","value":6162,"base":13}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":2962,"base":13}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1228,"base":13},"right_expr":{"type":"numeric_atoms","value":7602,"base":13}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":3283,"base":13},"right_expr":{"type":"numeric_atoms","value":5354,"base":13}}}}},"used_operators":["rJVOvQCfKK","rysDP5nf3Z","srAu1WTS94","DyGG3AbaNP","8jW3W4yZS5","e1ybzncUwg","NTOWxs364D","mp7IySMOzn","2DQ55sFlQl","glklzrTFfD","DZ8iAZOCBD","fu6greOZ01","3ViojmjbAp"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1054","layer":4},{"info":"number node, value=1810","layer":4},{"info":"compute binary expreesion, left_input=1054, right_input=1810, 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 = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=nan","layer":2},{"info":"number node, value=3500","layer":4},{"info":"compute unary expreesion, input=3500, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=4031","layer":3},{"info":"compute unary expreesion, input=4031, 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 = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=1149","layer":4},{"info":"number node, value=6162","layer":4},{"info":"compute binary expreesion, left_input=1149, right_input=6162, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=2962","layer":4},{"info":"compute unary expreesion, input=2962, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=2962","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=2962, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=5924","layer":2},{"info":"number node, value=1228","layer":4},{"info":"number node, value=7602","layer":4},{"info":"compute binary expreesion, left_input=1228, right_input=7602, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=3283","layer":4},{"info":"number node, value=5354","layer":4},{"info":"compute binary expreesion, left_input=3283, right_input=5354, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-5357","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-5357, 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=5924, 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 = 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":13,"result_base":13,"text":"((⨵≀≌⪎⋱⫍631∼⪎⋱⫍A93)-(↯⪼(≉⪎⋱⫍1793)))⨎(⪎⋱⫍6A5⨵⪆⪎⋱⫍2A60)⇷(⪎⋱⫍146B⨁⊸⫻)⩚⊴⇥(⪎⋱⫍736⨐⩸⫘⪎⋱⫍35CA⊉≛↸⪎⋱⫍1657⨓⪎⋱⫍258B)=NaN","reverse_text":"NaN=((⨵≀≌⪎⋱⫍631∼⪎⋱⫍A93)-(↯⪼(≉⪎⋱⫍1793)))⨎(⪎⋱⫍6A5⨵⪆⪎⋱⫍2A60)⇷(⪎⋱⫍146B⨁⊸⫻)⩚⊴⇥(⪎⋱⫍736⨐⩸⫘⪎⋱⫍35CA⊉≛↸⪎⋱⫍1657⨓⪎⋱⫍258B)","cot":[{"info":"⪎⋱⫍631∼⪎⋱⫍A93=NaN","layer":3},{"info":"⨵≀≌NaN=NaN","layer":2},{"info":"≉⪎⋱⫍1793=⪎⋱⫍1AB1","layer":3},{"info":"↯⪼⪎⋱⫍1AB1=⪎⋱⫍-18","layer":2},{"info":"NaN-⪎⋱⫍-18=NaN","layer":1},{"info":"⪎⋱⫍6A5⨵⪆⪎⋱⫍2A60=⪎⋱⫍C4","layer":3},{"info":"⪎⋱⫍146B⨁⊸⫻=⪎⋱⫍146B","layer":3},{"info":"⪎⋱⫍C4⇷⪎⋱⫍146B=⪎⋱⫍2909","layer":2},{"info":"⪎⋱⫍736⨐⩸⫘⪎⋱⫍35CA=NaN","layer":3},{"info":"⪎⋱⫍1657⨓⪎⋱⫍258B=⪎⋱⫍-2591","layer":3},{"info":"NaN⊉≛↸⪎⋱⫍-2591=NaN","layer":2},{"info":"⪎⋱⫍2909⩚⊴⇥NaN=NaN","layer":1},{"info":"NaN⨎NaN=NaN","layer":0}]}
{"id":909,"expression_no_base_symbol":"⩦⩻⨪($2884$⩚⊴⇥$3271$)⪘⫢($1639$⨓$2070$)⋥≓≎($8004$⨓$1232$)⪢($4768$⨳⩥⨓$9109$)","expression":"⩦⩻⨪(⪎⋱⫍140B⩚⊴⇥⪎⋱⫍1648)⪘⫢(⪎⋱⫍991⨓⪎⋱⫍C33)⋥≓≎(⪎⋱⫍3849⨓⪎⋱⫍73A)⪢(⪎⋱⫍222A⨳⩥⨓⪎⋱⫍41B9)","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":9477,"operation_count":8,"complexity_ratio":1184.625,"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":2884,"base":13},"right_expr":{"type":"numeric_atoms","value":3271,"base":13}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1639,"base":13},"right_expr":{"type":"numeric_atoms","value":2070,"base":13}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":8004,"base":13},"right_expr":{"type":"numeric_atoms","value":1232,"base":13}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":4768,"base":13},"right_expr":{"type":"numeric_atoms","value":9109,"base":13}}}}},"used_operators":["2td37pGCOC","Qy55tPpLXF","oacrs7FA3X","NTOWxs364D","3ViojmjbAp","dWAJyo7jo9","nCS4ZIUYfx"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2884","layer":4},{"info":"number node, value=3271","layer":4},{"info":"compute binary expreesion, left_input=2884, right_input=3271, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-6276","layer":3},{"info":"number node, value=1639","layer":4},{"info":"number node, value=2070","layer":4},{"info":"compute binary expreesion, left_input=1639, right_input=2070, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2073","layer":3},{"info":"compute binary expreesion, left_input=-6276, right_input=-2073, 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=8004","layer":4},{"info":"number node, value=1232","layer":4},{"info":"compute binary expreesion, left_input=8004, right_input=1232, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1235","layer":3},{"info":"number node, value=4768","layer":4},{"info":"number node, value=9109","layer":4},{"info":"compute binary expreesion, left_input=4768, right_input=9109, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=4341","layer":3},{"info":"compute binary expreesion, left_input=-1235, right_input=4341, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = 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 = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⩦⩻⨪(⪎⋱⫍140B⩚⊴⇥⪎⋱⫍1648)⪘⫢(⪎⋱⫍991⨓⪎⋱⫍C33)⋥≓≎(⪎⋱⫍3849⨓⪎⋱⫍73A)⪢(⪎⋱⫍222A⨳⩥⨓⪎⋱⫍41B9)=NaN","reverse_text":"NaN=⩦⩻⨪(⪎⋱⫍140B⩚⊴⇥⪎⋱⫍1648)⪘⫢(⪎⋱⫍991⨓⪎⋱⫍C33)⋥≓≎(⪎⋱⫍3849⨓⪎⋱⫍73A)⪢(⪎⋱⫍222A⨳⩥⨓⪎⋱⫍41B9)","cot":[{"info":"⪎⋱⫍140B⩚⊴⇥⪎⋱⫍1648=⪎⋱⫍-2B1A","layer":3},{"info":"⪎⋱⫍991⨓⪎⋱⫍C33=⪎⋱⫍-C36","layer":3},{"info":"⪎⋱⫍-2B1A⪘⫢⪎⋱⫍-C36=⪎⋱⫍-1","layer":2},{"info":"⪎⋱⫍3849⨓⪎⋱⫍73A=⪎⋱⫍-740","layer":3},{"info":"⪎⋱⫍222A⨳⩥⨓⪎⋱⫍41B9=⪎⋱⫍1C8C","layer":3},{"info":"⪎⋱⫍-740⪢⪎⋱⫍1C8C=NaN","layer":2},{"info":"⪎⋱⫍-1⋥≓≎NaN=NaN","layer":1},{"info":"⩦⩻⨪NaN=NaN","layer":0}]}
{"id":910,"expression_no_base_symbol":"(($1947$⊘)≭($4292$⨐⩸⫘$1144$)≣⋋)⨪↰⇹((⪝⪂⫅($1202$⫡⨏$2589$))↪⪝)","expression":"((⪎⋱⫍B6A⊘)≭(⪎⋱⫍1C52⨐⩸⫘⪎⋱⫍6A0)≣⋋)⨪↰⇹((⪝⪂⫅(⪎⋱⫍716⫡⨏⪎⋱⫍1242))↪⪝)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":883,"operation_count":8,"complexity_ratio":110.375,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":1947,"base":13}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":4292,"base":13},"right_expr":{"type":"numeric_atoms","value":1144,"base":13}}}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1202,"base":13},"right_expr":{"type":"numeric_atoms","value":2589,"base":13}}}}},"used_operators":["tmPS8pqC7x","Tcnh7f0tEr","rxpJgHHUmx","gu96TGCTMs","fu6greOZ01","l07mrZUIn9","XTarYq4gQB","QMFrweE19q"],"dependent_operators":["rJVOvQCfKK","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","AHs5Up7iyr","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","3ViojmjbAp","9HNa5Wba9A","2DDjHMKMc0","9HNa5Wba9A","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1947","layer":4},{"info":"compute unary expreesion, input=1947, 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=4292","layer":4},{"info":"number node, value=1144","layer":4},{"info":"compute binary expreesion, left_input=4292, right_input=1144, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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 = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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 = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=nan","layer":1},{"info":"number node, value=1202","layer":4},{"info":"number node, value=2589","layer":4},{"info":"compute binary expreesion, left_input=1202, right_input=2589, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=11971","layer":3},{"info":"compute unary expreesion, input=11971, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-1759737","layer":2},{"info":"compute unary expreesion, input=-1759737, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=-inf","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-inf, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((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":13,"result_base":13,"text":"((⪎⋱⫍B6A⊘)≭(⪎⋱⫍1C52⨐⩸⫘⪎⋱⫍6A0)≣⋋)⨪↰⇹((⪝⪂⫅(⪎⋱⫍716⫡⨏⪎⋱⫍1242))↪⪝)=NaN","reverse_text":"NaN=((⪎⋱⫍B6A⊘)≭(⪎⋱⫍1C52⨐⩸⫘⪎⋱⫍6A0)≣⋋)⨪↰⇹((⪝⪂⫅(⪎⋱⫍716⫡⨏⪎⋱⫍1242))↪⪝)","cot":[{"info":"⪎⋱⫍B6A⊘=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍1C52⨐⩸⫘⪎⋱⫍6A0=NaN","layer":3},{"info":"⪎⋱⫍0≭NaN=NaN","layer":2},{"info":"NaN≣⋋=NaN","layer":1},{"info":"⪎⋱⫍716⫡⨏⪎⋱⫍1242=⪎⋱⫍55AB","layer":3},{"info":"⪝⪂⫅⪎⋱⫍55AB=⪎⋱⫍-497C85","layer":2},{"info":"⪎⋱⫍-497C85↪⪝=-Inf","layer":1},{"info":"NaN⨪↰⇹-Inf=NaN","layer":0}]}
{"id":911,"expression_no_base_symbol":"⇁⨣⪵(⊙↵-($7473$-$2126$))⨪↰⇹((⫓⪴$5963$)≧⫂∧$1965$↬$4384$)","expression":"⇁⨣⪵(⊙↵-(⪎⋱⫍352B-⪎⋱⫍C77))⨪↰⇹((⫓⪴⪎⋱⫍2939)≧⫂∧⪎⋱⫍B82↬⪎⋱⫍1CC3)","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":11364,"operation_count":7,"complexity_ratio":1623.4285714285713,"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":7473,"base":13},"right_expr":{"type":"numeric_atoms","value":2126,"base":13}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":5963,"base":13}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1965,"base":13},"right_expr":{"type":"numeric_atoms","value":4384,"base":13}}}}},"used_operators":["inkyxCbjAn","tmPS8pqC7x","oWn0xqSxBt","rysDP5nf3Z","Ph9nP6C5qx","eLxqMNBOBk","B5M0gjZbta"],"dependent_operators":["B5M0gjZbta","rJVOvQCfKK","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","rGHVDoGpnC"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=7473","layer":4},{"info":"number node, value=2126","layer":4},{"info":"compute binary expreesion, left_input=7473, right_input=2126, op_id = rysDP5nf3Z binary_op_definition= 'None', output=5347","layer":3},{"info":"compute unary expreesion, input=5347, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":2},{"info":"number node, value=5963","layer":4},{"info":"compute unary expreesion, input=5963, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=35557369","layer":3},{"info":"number node, value=1965","layer":4},{"info":"number node, value=4384","layer":4},{"info":"compute binary expreesion, left_input=1965, right_input=4384, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=35557369, 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=-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 unary expreesion, input=1, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=0","layer":0}],"base":13,"result_base":13,"text":"⇁⨣⪵(⊙↵-(⪎⋱⫍352B-⪎⋱⫍C77))⨪↰⇹((⫓⪴⪎⋱⫍2939)≧⫂∧⪎⋱⫍B82↬⪎⋱⫍1CC3)=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=⇁⨣⪵(⊙↵-(⪎⋱⫍352B-⪎⋱⫍C77))⨪↰⇹((⫓⪴⪎⋱⫍2939)≧⫂∧⪎⋱⫍B82↬⪎⋱⫍1CC3)","cot":[{"info":"⪎⋱⫍352B-⪎⋱⫍C77=⪎⋱⫍2584","layer":3},{"info":"⊙↵-⪎⋱⫍2584=⪎⋱⫍-1","layer":2},{"info":"⫓⪴⪎⋱⫍2939=⪎⋱⫍749C683","layer":3},{"info":"⪎⋱⫍B82↬⪎⋱⫍1CC3=NaN","layer":3},{"info":"⪎⋱⫍749C683≧⫂∧NaN=NaN","layer":2},{"info":"⪎⋱⫍-1⨪↰⇹NaN=⪎⋱⫍1","layer":1},{"info":"⇁⨣⪵⪎⋱⫍1=⪎⋱⫍0","layer":0}]}
{"id":912,"expression_no_base_symbol":"(⪝⪂⫅(↥$3922$))⨪↰⇹($6772$⪨≂$5555$)⨪↰⇹($5980$⋓$1137$)⊉≛↸((∥⊫$2813$)/($2330$⋫)⫡⨏$1977$∑⇟⊟$2675$≭$1250$≹⇙⪍$2792$)","expression":"(⪝⪂⫅(↥⪎⋱⫍1A29))⨪↰⇹(⪎⋱⫍310C⪨≂⪎⋱⫍26B4)⨪↰⇹(⪎⋱⫍2950⋓⪎⋱⫍696)⊉≛↸((∥⊫⪎⋱⫍1385)/(⪎⋱⫍10A3⋫)⫡⨏⪎⋱⫍B91∑⇟⊟⪎⋱⫍12AA≭⪎⋱⫍752≹⇙⪍⪎⋱⫍136A)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":11790,"operation_count":14,"complexity_ratio":842.1428571428571,"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":3922,"base":13}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":6772,"base":13},"right_expr":{"type":"numeric_atoms","value":5555,"base":13}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":5980,"base":13},"right_expr":{"type":"numeric_atoms","value":1137,"base":13}}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":2813,"base":13}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":2330,"base":13}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1977,"base":13},"right_expr":{"type":"numeric_atoms","value":2675,"base":13}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1250,"base":13},"right_expr":{"type":"numeric_atoms","value":2792,"base":13}}}}},"used_operators":["DZ8iAZOCBD","tmPS8pqC7x","XTarYq4gQB","A8NUZmVepG","sdazOOVcIp","T2fj7uvVaJ","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","JL8yIekQnl","rxpJgHHUmx","U7g4x0WXJJ","AHs5Up7iyr"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","9HNa5Wba9A","8w2t5hMYqp","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","AHs5Up7iyr","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3922","layer":4},{"info":"compute unary expreesion, input=3922, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=46","layer":3},{"info":"compute unary expreesion, input=46, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-6762","layer":2},{"info":"number node, value=6772","layer":4},{"info":"number node, value=5555","layer":4},{"info":"compute binary expreesion, left_input=6772, right_input=5555, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=2536","layer":3},{"info":"number node, value=5980","layer":4},{"info":"number node, value=1137","layer":4},{"info":"compute binary expreesion, left_input=5980, right_input=1137, op_id = T2fj7uvVaJ binary_op_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=2536, 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=2536","layer":2},{"info":"compute binary expreesion, left_input=-6762, right_input=2536, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=-6762","layer":1},{"info":"number node, value=2813","layer":4},{"info":"compute unary expreesion, input=2813, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=3681","layer":3},{"info":"number node, value=2330","layer":4},{"info":"compute unary expreesion, input=2330, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=2330","layer":3},{"info":"compute binary expreesion, left_input=3681, right_input=2330, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":2},{"info":"number node, value=1977","layer":4},{"info":"number node, value=2675","layer":4},{"info":"compute binary expreesion, left_input=1977, right_input=2675, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=1250","layer":4},{"info":"number node, value=2792","layer":4},{"info":"compute binary expreesion, left_input=1250, right_input=2792, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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 = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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 = 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=-6762, 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":13,"result_base":13,"text":"(⪝⪂⫅(↥⪎⋱⫍1A29))⨪↰⇹(⪎⋱⫍310C⪨≂⪎⋱⫍26B4)⨪↰⇹(⪎⋱⫍2950⋓⪎⋱⫍696)⊉≛↸((∥⊫⪎⋱⫍1385)/(⪎⋱⫍10A3⋫)⫡⨏⪎⋱⫍B91∑⇟⊟⪎⋱⫍12AA≭⪎⋱⫍752≹⇙⪍⪎⋱⫍136A)=NaN","reverse_text":"NaN=(⪝⪂⫅(↥⪎⋱⫍1A29))⨪↰⇹(⪎⋱⫍310C⪨≂⪎⋱⫍26B4)⨪↰⇹(⪎⋱⫍2950⋓⪎⋱⫍696)⊉≛↸((∥⊫⪎⋱⫍1385)/(⪎⋱⫍10A3⋫)⫡⨏⪎⋱⫍B91∑⇟⊟⪎⋱⫍12AA≭⪎⋱⫍752≹⇙⪍⪎⋱⫍136A)","cot":[{"info":"↥⪎⋱⫍1A29=⪎⋱⫍37","layer":3},{"info":"⪝⪂⫅⪎⋱⫍37=⪎⋱⫍-3102","layer":2},{"info":"⪎⋱⫍310C⪨≂⪎⋱⫍26B4=⪎⋱⫍1201","layer":3},{"info":"⪎⋱⫍2950⋓⪎⋱⫍696=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍1201⨪↰⇹⪎⋱⫍0=⪎⋱⫍1201","layer":2},{"info":"⪎⋱⫍-3102⨪↰⇹⪎⋱⫍1201=⪎⋱⫍-3102","layer":1},{"info":"∥⊫⪎⋱⫍1385=⪎⋱⫍18A2","layer":3},{"info":"⪎⋱⫍10A3⋫=⪎⋱⫍10A3","layer":3},{"info":"⪎⋱⫍18A2/⪎⋱⫍10A3=⪎⋱⫍1","layer":2},{"info":"⪎⋱⫍B91∑⇟⊟⪎⋱⫍12AA=NaN","layer":3},{"info":"⪎⋱⫍752≹⇙⪍⪎⋱⫍136A=NaN","layer":3},{"info":"NaN≭NaN=NaN","layer":2},{"info":"⪎⋱⫍1⫡⨏NaN=NaN","layer":1},{"info":"⪎⋱⫍-3102⊉≛↸NaN=NaN","layer":0}]}
{"id":913,"expression_no_base_symbol":"(⨰⫟⨤($2733$⨐⩸⫘$1255$%($4326$∧)))⊭↱(⪲⇎$5414$⊴$1516$⨟⋌⩍(⋗⩬⋾$7892$))","expression":"(⨰⫟⨤(⪎⋱⫍1323⨐⩸⫘⪎⋱⫍757%(⪎⋱⫍1C7A∧)))⊭↱(⪲⇎⪎⋱⫍2606⊴⪎⋱⫍8C8⨟⋌⩍(⋗⩬⋾⪎⋱⫍3791))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":6922,"operation_count":9,"complexity_ratio":769.1111111111111,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2733,"base":13},"right_expr":{"type":"numeric_atoms","value":1255,"base":13}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":4326,"base":13}}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":5414,"base":13},"right_expr":{"type":"numeric_atoms","value":1516,"base":13}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":7892,"base":13}}}}},"used_operators":["COABgblf1C","Tw270M8GLb","k8jYdgA6NY","fu6greOZ01","z63VuFQld9","XPYlsWDdGa","rGHVDoGpnC","Nsiff2A1zJ","DpFCA1CohY"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","3ViojmjbAp","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2733","layer":4},{"info":"number node, value=1255","layer":4},{"info":"compute binary expreesion, left_input=2733, right_input=1255, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=4326","layer":4},{"info":"compute unary expreesion, input=4326, 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 = 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":"number node, value=5414","layer":4},{"info":"number node, value=1516","layer":4},{"info":"compute binary expreesion, left_input=5414, right_input=1516, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=7892","layer":4},{"info":"compute unary expreesion, input=7892, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-23676","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-23676, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⨰⫟⨤(⪎⋱⫍1323⨐⩸⫘⪎⋱⫍757%(⪎⋱⫍1C7A∧)))⊭↱(⪲⇎⪎⋱⫍2606⊴⪎⋱⫍8C8⨟⋌⩍(⋗⩬⋾⪎⋱⫍3791))=NaN","reverse_text":"NaN=(⨰⫟⨤(⪎⋱⫍1323⨐⩸⫘⪎⋱⫍757%(⪎⋱⫍1C7A∧)))⊭↱(⪲⇎⪎⋱⫍2606⊴⪎⋱⫍8C8⨟⋌⩍(⋗⩬⋾⪎⋱⫍3791))","cot":[{"info":"⪎⋱⫍1323⨐⩸⫘⪎⋱⫍757=NaN","layer":3},{"info":"⪎⋱⫍1C7A∧=NaN","layer":3},{"info":"NaN%NaN=NaN","layer":2},{"info":"⨰⫟⨤NaN=NaN","layer":1},{"info":"⪎⋱⫍2606⊴⪎⋱⫍8C8=NaN","layer":3},{"info":"⋗⩬⋾⪎⋱⫍3791=⪎⋱⫍-AA13","layer":3},{"info":"NaN⨟⋌⩍⪎⋱⫍-AA13=NaN","layer":2},{"info":"⪲⇎NaN=NaN","layer":1},{"info":"NaN⊭↱NaN=NaN","layer":0}]}
{"id":914,"expression_no_base_symbol":"(($1465$⫡⨏$1542$)⋳⪒($6129$⪄$1036$))⩷∴(($1587$≣⋋)⋳⪒$4279$⨟⋌⩍$2589$)%((⪲⇎$2159$)⪘⫢($1965$⫡⨏$2701$)/$6450$≭$1830$⨳⩥⨓($6695$+$3629$))","expression":"((⪎⋱⫍889⫡⨏⪎⋱⫍918)⋳⪒(⪎⋱⫍2A36⪄⪎⋱⫍619))⩷∴((⪎⋱⫍951≣⋋)⋳⪒⪎⋱⫍1C42⨟⋌⩍⪎⋱⫍1242)%((⪲⇎⪎⋱⫍CA1)⪘⫢(⪎⋱⫍B82⫡⨏⪎⋱⫍12CA)/⪎⋱⫍2C22≭⪎⋱⫍AAA⨳⩥⨓(⪎⋱⫍3080+⪎⋱⫍1862))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":668,"operation_count":15,"complexity_ratio":44.53333333333333,"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":1465,"base":13},"right_expr":{"type":"numeric_atoms","value":1542,"base":13}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":6129,"base":13},"right_expr":{"type":"numeric_atoms","value":1036,"base":13}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":1587,"base":13}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":4279,"base":13},"right_expr":{"type":"numeric_atoms","value":2589,"base":13}}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":2159,"base":13}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1965,"base":13},"right_expr":{"type":"numeric_atoms","value":2701,"base":13}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":6450,"base":13},"right_expr":{"type":"numeric_atoms","value":1830,"base":13}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":6695,"base":13},"right_expr":{"type":"numeric_atoms","value":3629,"base":13}}}}},"used_operators":["k8jYdgA6NY","9FxExcQeMw","12rbrZMWeM","QMFrweE19q","SUmda5xLS4","Tcnh7f0tEr","rGHVDoGpnC","XhwjNDsVaA","oacrs7FA3X","XPYlsWDdGa","nCS4ZIUYfx","rxpJgHHUmx","W4YGzv6Whe"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","Tcnh7f0tEr","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1465","layer":4},{"info":"number node, value=1542","layer":4},{"info":"compute binary expreesion, left_input=1465, right_input=1542, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=11192","layer":3},{"info":"number node, value=6129","layer":4},{"info":"number node, value=1036","layer":4},{"info":"compute binary expreesion, left_input=6129, right_input=1036, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-907325","layer":3},{"info":"compute binary expreesion, left_input=11192, right_input=-907325, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=929422","layer":2},{"info":"number node, value=1587","layer":4},{"info":"compute unary expreesion, input=1587, 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=4279","layer":4},{"info":"number node, value=2589","layer":4},{"info":"compute binary expreesion, left_input=4279, right_input=2589, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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 = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=929422, 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=2159","layer":4},{"info":"compute unary expreesion, input=2159, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=4318","layer":3},{"info":"number node, value=1965","layer":4},{"info":"number node, value=2701","layer":4},{"info":"compute binary expreesion, left_input=1965, right_input=2701, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=16010","layer":3},{"info":"compute binary expreesion, left_input=4318, right_input=16010, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=8512","layer":2},{"info":"number node, value=6450","layer":4},{"info":"number node, value=1830","layer":4},{"info":"compute binary expreesion, left_input=6450, right_input=1830, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=6695","layer":4},{"info":"number node, value=3629","layer":4},{"info":"compute binary expreesion, left_input=6695, right_input=3629, op_id = W4YGzv6Whe binary_op_definition= 'None', output=10324","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=10324, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=8512, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍889⫡⨏⪎⋱⫍918)⋳⪒(⪎⋱⫍2A36⪄⪎⋱⫍619))⩷∴((⪎⋱⫍951≣⋋)⋳⪒⪎⋱⫍1C42⨟⋌⩍⪎⋱⫍1242)%((⪲⇎⪎⋱⫍CA1)⪘⫢(⪎⋱⫍B82⫡⨏⪎⋱⫍12CA)/⪎⋱⫍2C22≭⪎⋱⫍AAA⨳⩥⨓(⪎⋱⫍3080+⪎⋱⫍1862))=NaN","reverse_text":"NaN=((⪎⋱⫍889⫡⨏⪎⋱⫍918)⋳⪒(⪎⋱⫍2A36⪄⪎⋱⫍619))⩷∴((⪎⋱⫍951≣⋋)⋳⪒⪎⋱⫍1C42⨟⋌⩍⪎⋱⫍1242)%((⪲⇎⪎⋱⫍CA1)⪘⫢(⪎⋱⫍B82⫡⨏⪎⋱⫍12CA)/⪎⋱⫍2C22≭⪎⋱⫍AAA⨳⩥⨓(⪎⋱⫍3080+⪎⋱⫍1862))","cot":[{"info":"⪎⋱⫍889⫡⨏⪎⋱⫍918=⪎⋱⫍512C","layer":3},{"info":"⪎⋱⫍2A36⪄⪎⋱⫍619=⪎⋱⫍-259CA3","layer":3},{"info":"⪎⋱⫍512C⋳⪒⪎⋱⫍-259CA3=⪎⋱⫍267070","layer":2},{"info":"⪎⋱⫍951≣⋋=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍1C42⨟⋌⩍⪎⋱⫍1242=NaN","layer":3},{"info":"⪎⋱⫍0⋳⪒NaN=NaN","layer":2},{"info":"⪎⋱⫍267070⩷∴NaN=NaN","layer":1},{"info":"⪲⇎⪎⋱⫍CA1=⪎⋱⫍1C72","layer":3},{"info":"⪎⋱⫍B82⫡⨏⪎⋱⫍12CA=⪎⋱⫍7397","layer":3},{"info":"⪎⋱⫍1C72⪘⫢⪎⋱⫍7397=⪎⋱⫍3B4A","layer":2},{"info":"⪎⋱⫍2C22≭⪎⋱⫍AAA=NaN","layer":3},{"info":"⪎⋱⫍3080+⪎⋱⫍1862=⪎⋱⫍4912","layer":3},{"info":"NaN⨳⩥⨓⪎⋱⫍4912=NaN","layer":2},{"info":"⪎⋱⫍3B4A/NaN=NaN","layer":1},{"info":"NaN%NaN=NaN","layer":0}]}
{"id":915,"expression_no_base_symbol":"(($2932$⩚⊴⇥$1123$)⊴($1237$↬$2626$)⇼⇔∾$3087$⇷$5575$+⇶⊼($1151$⊭↱$1072$))⫌⩹⨱","expression":"((⪎⋱⫍1447⩚⊴⇥⪎⋱⫍685)⊴(⪎⋱⫍742↬⪎⋱⫍1270)⇼⇔∾⪎⋱⫍1536⇷⪎⋱⫍26CB+⇶⊼(⪎⋱⫍6A7⊭↱⪎⋱⫍646))⫌⩹⨱","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":43251,"operation_count":8,"complexity_ratio":5406.375,"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":2932,"base":13},"right_expr":{"type":"numeric_atoms","value":1123,"base":13}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1237,"base":13},"right_expr":{"type":"numeric_atoms","value":2626,"base":13}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":3087,"base":13},"right_expr":{"type":"numeric_atoms","value":5575,"base":13}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1151,"base":13},"right_expr":{"type":"numeric_atoms","value":1072,"base":13}}}}},"used_operators":["EBcxylXtPf","tifHPKVTfV","Nsiff2A1zJ","NTOWxs364D","B5M0gjZbta","TpPTUOHfaN","mp7IySMOzn","COABgblf1C"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rGHVDoGpnC","AHs5Up7iyr","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2932","layer":4},{"info":"number node, value=1123","layer":4},{"info":"compute binary expreesion, left_input=2932, right_input=1123, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4176","layer":3},{"info":"number node, value=1237","layer":4},{"info":"number node, value=2626","layer":4},{"info":"compute binary expreesion, left_input=1237, right_input=2626, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=-4176, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=3087","layer":4},{"info":"number node, value=5575","layer":4},{"info":"compute binary expreesion, left_input=3087, right_input=5575, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=11150","layer":3},{"info":"number node, value=1151","layer":4},{"info":"number node, value=1072","layer":4},{"info":"compute binary expreesion, left_input=1151, right_input=1072, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-153","layer":3},{"info":"compute binary expreesion, left_input=11150, right_input=-153, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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 = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍1447⩚⊴⇥⪎⋱⫍685)⊴(⪎⋱⫍742↬⪎⋱⫍1270)⇼⇔∾⪎⋱⫍1536⇷⪎⋱⫍26CB+⇶⊼(⪎⋱⫍6A7⊭↱⪎⋱⫍646))⫌⩹⨱=NaN","reverse_text":"NaN=((⪎⋱⫍1447⩚⊴⇥⪎⋱⫍685)⊴(⪎⋱⫍742↬⪎⋱⫍1270)⇼⇔∾⪎⋱⫍1536⇷⪎⋱⫍26CB+⇶⊼(⪎⋱⫍6A7⊭↱⪎⋱⫍646))⫌⩹⨱","cot":[{"info":"⪎⋱⫍1447⩚⊴⇥⪎⋱⫍685=⪎⋱⫍-1B93","layer":3},{"info":"⪎⋱⫍742↬⪎⋱⫍1270=NaN","layer":3},{"info":"⪎⋱⫍-1B93⊴NaN=NaN","layer":2},{"info":"⪎⋱⫍1536⇷⪎⋱⫍26CB=⪎⋱⫍50C9","layer":3},{"info":"⪎⋱⫍6A7⊭↱⪎⋱⫍646=⪎⋱⫍-BA","layer":3},{"info":"⪎⋱⫍50C9+⇶⊼⪎⋱⫍-BA=NaN","layer":2},{"info":"NaN⇼⇔∾NaN=NaN","layer":1},{"info":"NaN⫌⩹⨱=NaN","layer":0}]}
{"id":916,"expression_no_base_symbol":"($4401$⨸⪁$6106$%($1062$↛⩡⫤))⨳⩥⨓($1132$⩷∴$2963$↛⩡⫤)⊭↱((($5173$%$1251$)⊭↱($5086$⩨$1242$))⫩⊇)","expression":"(⪎⋱⫍2007⨸⪁⪎⋱⫍2A19%(⪎⋱⫍639↛⩡⫤))⨳⩥⨓(⪎⋱⫍691⩷∴⪎⋱⫍146C↛⩡⫤)⊭↱(((⪎⋱⫍247C%⪎⋱⫍753)⊭↱(⪎⋱⫍2413⩨⪎⋱⫍747))⫩⊇)","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":14550,"operation_count":11,"complexity_ratio":1322.7272727272727,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":4401,"base":13},"right_expr":{"type":"numeric_atoms","value":6106,"base":13}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":1062,"base":13}}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1132,"base":13},"right_expr":{"type":"numeric_atoms","value":2963,"base":13}}}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":5173,"base":13},"right_expr":{"type":"numeric_atoms","value":1251,"base":13}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":5086,"base":13},"right_expr":{"type":"numeric_atoms","value":1242,"base":13}}}}},"used_operators":["COABgblf1C","nCS4ZIUYfx","k8jYdgA6NY","g55IO6H4Gj","FU0Cs4j7VP","9FxExcQeMw","BjRHVeLaeN","2DlMacCsIx"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"⪎⋱⫍-96293","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4401","layer":4},{"info":"number node, value=6106","layer":4},{"info":"compute binary expreesion, left_input=4401, right_input=6106, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=21014","layer":3},{"info":"number node, value=1062","layer":4},{"info":"compute unary expreesion, input=1062, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-156451","layer":3},{"info":"compute binary expreesion, left_input=21014, right_input=-156451, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-135437","layer":2},{"info":"number node, value=1132","layer":4},{"info":"number node, value=2963","layer":4},{"info":"compute binary expreesion, left_input=1132, right_input=2963, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-3694","layer":3},{"info":"compute unary expreesion, input=-3694, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=285","layer":2},{"info":"compute binary expreesion, left_input=-135437, right_input=285, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=135722","layer":1},{"info":"number node, value=5173","layer":4},{"info":"number node, value=1251","layer":4},{"info":"compute binary expreesion, left_input=5173, right_input=1251, op_id = k8jYdgA6NY binary_op_definition= 'None', output=169","layer":3},{"info":"number node, value=5086","layer":4},{"info":"number node, value=1242","layer":4},{"info":"compute binary expreesion, left_input=5086, right_input=1242, 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=169, right_input=0, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-333","layer":2},{"info":"compute unary expreesion, input=-333, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=375","layer":1},{"info":"compute binary expreesion, left_input=135722, right_input=375, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-270689","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍2007⨸⪁⪎⋱⫍2A19%(⪎⋱⫍639↛⩡⫤))⨳⩥⨓(⪎⋱⫍691⩷∴⪎⋱⫍146C↛⩡⫤)⊭↱(((⪎⋱⫍247C%⪎⋱⫍753)⊭↱(⪎⋱⫍2413⩨⪎⋱⫍747))⫩⊇)=⪎⋱⫍-96293","reverse_text":"⪎⋱⫍-96293=(⪎⋱⫍2007⨸⪁⪎⋱⫍2A19%(⪎⋱⫍639↛⩡⫤))⨳⩥⨓(⪎⋱⫍691⩷∴⪎⋱⫍146C↛⩡⫤)⊭↱(((⪎⋱⫍247C%⪎⋱⫍753)⊭↱(⪎⋱⫍2413⩨⪎⋱⫍747))⫩⊇)","cot":[{"info":"⪎⋱⫍2007⨸⪁⪎⋱⫍2A19=⪎⋱⫍9746","layer":3},{"info":"⪎⋱⫍639↛⩡⫤=⪎⋱⫍-56299","layer":3},{"info":"⪎⋱⫍9746%⪎⋱⫍-56299=⪎⋱⫍-49853","layer":2},{"info":"⪎⋱⫍691⩷∴⪎⋱⫍146C=⪎⋱⫍-18B2","layer":3},{"info":"⪎⋱⫍-18B2↛⩡⫤=⪎⋱⫍18C","layer":2},{"info":"⪎⋱⫍-49853⨳⩥⨓⪎⋱⫍18C=⪎⋱⫍49A12","layer":1},{"info":"⪎⋱⫍247C%⪎⋱⫍753=⪎⋱⫍100","layer":3},{"info":"⪎⋱⫍2413⩨⪎⋱⫍747=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍100⊭↱⪎⋱⫍0=⪎⋱⫍-1C8","layer":2},{"info":"⪎⋱⫍-1C8⫩⊇=⪎⋱⫍22B","layer":1},{"info":"⪎⋱⫍49A12⊭↱⪎⋱⫍22B=⪎⋱⫍-96293","layer":0}]}
{"id":917,"expression_no_base_symbol":"(↣≠⋷$1149$)⨎$3541$≧⫂∧$5276$↙($2985$∀⇚≩$3693$⊉≛↸$3716$⇷$1780$)⪒($8767$⊴$2323$↛⩡⫤)⪮%⊝($6477$⨟⋌⩍$1548$∑⇟⊟($5355$⊉≛↸$1181$))","expression":"(↣≠⋷⪎⋱⫍6A5)⨎⪎⋱⫍17C5≧⫂∧⪎⋱⫍252B↙(⪎⋱⫍1488∀⇚≩⪎⋱⫍18B1⊉≛↸⪎⋱⫍18CB⇷⪎⋱⫍A6C)⪒(⪎⋱⫍3CB5⊴⪎⋱⫍1099↛⩡⫤)⪮%⊝(⪎⋱⫍2C43⨟⋌⩍⪎⋱⫍921∑⇟⊟(⪎⋱⫍258C⊉≛↸⪎⋱⫍6CB))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":76678,"operation_count":14,"complexity_ratio":5477.0,"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":1149,"base":13}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":3541,"base":13},"right_expr":{"type":"numeric_atoms","value":5276,"base":13}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2985,"base":13},"right_expr":{"type":"numeric_atoms","value":3693,"base":13}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":3716,"base":13},"right_expr":{"type":"numeric_atoms","value":1780,"base":13}}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":8767,"base":13},"right_expr":{"type":"numeric_atoms","value":2323,"base":13}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":6477,"base":13},"right_expr":{"type":"numeric_atoms","value":1548,"base":13}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":5355,"base":13},"right_expr":{"type":"numeric_atoms","value":1181,"base":13}}}}},"used_operators":["f6k1SAg4EE","yyfyN0ffXY","rJVOvQCfKK","Asc51vEJeQ","Ph9nP6C5qx","DZ8iAZOCBD","LRNGc0VcxI","mp7IySMOzn","IWmyXbctLI","FU0Cs4j7VP","Nsiff2A1zJ","U7g4x0WXJJ","rGHVDoGpnC"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","dWAJyo7jo9","14qkJME0vr","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=1149","layer":4},{"info":"compute unary expreesion, input=1149, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=3541","layer":4},{"info":"number node, value=5276","layer":4},{"info":"compute binary expreesion, left_input=3541, right_input=5276, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=4803","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4803, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=4803","layer":2},{"info":"number node, value=2985","layer":4},{"info":"number node, value=3693","layer":4},{"info":"compute binary expreesion, left_input=2985, right_input=3693, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=3716","layer":4},{"info":"number node, value=1780","layer":4},{"info":"compute binary expreesion, left_input=3716, right_input=1780, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3560","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3560, 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=4803, 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=8767","layer":4},{"info":"number node, value=2323","layer":4},{"info":"compute binary expreesion, left_input=8767, right_input=2323, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', 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=6477","layer":4},{"info":"number node, value=1548","layer":4},{"info":"compute binary expreesion, left_input=6477, right_input=1548, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=5355","layer":4},{"info":"number node, value=1181","layer":4},{"info":"compute binary expreesion, left_input=5355, right_input=1181, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=10710","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=10710, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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 = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(↣≠⋷⪎⋱⫍6A5)⨎⪎⋱⫍17C5≧⫂∧⪎⋱⫍252B↙(⪎⋱⫍1488∀⇚≩⪎⋱⫍18B1⊉≛↸⪎⋱⫍18CB⇷⪎⋱⫍A6C)⪒(⪎⋱⫍3CB5⊴⪎⋱⫍1099↛⩡⫤)⪮%⊝(⪎⋱⫍2C43⨟⋌⩍⪎⋱⫍921∑⇟⊟(⪎⋱⫍258C⊉≛↸⪎⋱⫍6CB))=NaN","reverse_text":"NaN=(↣≠⋷⪎⋱⫍6A5)⨎⪎⋱⫍17C5≧⫂∧⪎⋱⫍252B↙(⪎⋱⫍1488∀⇚≩⪎⋱⫍18B1⊉≛↸⪎⋱⫍18CB⇷⪎⋱⫍A6C)⪒(⪎⋱⫍3CB5⊴⪎⋱⫍1099↛⩡⫤)⪮%⊝(⪎⋱⫍2C43⨟⋌⩍⪎⋱⫍921∑⇟⊟(⪎⋱⫍258C⊉≛↸⪎⋱⫍6CB))","cot":[{"info":"↣≠⋷⪎⋱⫍6A5=NaN","layer":3},{"info":"⪎⋱⫍17C5≧⫂∧⪎⋱⫍252B=⪎⋱⫍2256","layer":3},{"info":"NaN⨎⪎⋱⫍2256=⪎⋱⫍2256","layer":2},{"info":"⪎⋱⫍1488∀⇚≩⪎⋱⫍18B1=NaN","layer":3},{"info":"⪎⋱⫍18CB⇷⪎⋱⫍A6C=⪎⋱⫍180B","layer":3},{"info":"NaN⊉≛↸⪎⋱⫍180B=NaN","layer":2},{"info":"⪎⋱⫍2256↙NaN=NaN","layer":1},{"info":"⪎⋱⫍3CB5⊴⪎⋱⫍1099=NaN","layer":3},{"info":"NaN↛⩡⫤=NaN","layer":2},{"info":"⪎⋱⫍2C43⨟⋌⩍⪎⋱⫍921=NaN","layer":3},{"info":"⪎⋱⫍258C⊉≛↸⪎⋱⫍6CB=⪎⋱⫍4B4B","layer":3},{"info":"NaN∑⇟⊟⪎⋱⫍4B4B=NaN","layer":2},{"info":"NaN⪮%⊝NaN=NaN","layer":1},{"info":"NaN⪒NaN=NaN","layer":0}]}
{"id":918,"expression_no_base_symbol":"($5107$⪘⫢$1216$∑⇟⊟($1522$⋷$7096$))⪢(($1355$-$1342$)≫≃)⨪↰⇹((⫛⫱⨽($1621$⨟⋌⩍$4158$))⪄(⇁⨣⪵$3689$∀⇚≩$2617$))","expression":"(⪎⋱⫍242B⪘⫢⪎⋱⫍727∑⇟⊟(⪎⋱⫍901⋷⪎⋱⫍32CB))⪢((⪎⋱⫍803-⪎⋱⫍7C3)≫≃)⨪↰⇹((⫛⫱⨽(⪎⋱⫍979⨟⋌⩍⪎⋱⫍1B7B))⪄(⇁⨣⪵⪎⋱⫍18AA∀⇚≩⪎⋱⫍1264))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":28213,"operation_count":12,"complexity_ratio":2351.0833333333335,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":5107,"base":13},"right_expr":{"type":"numeric_atoms","value":1216,"base":13}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1522,"base":13},"right_expr":{"type":"numeric_atoms","value":7096,"base":13}}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1355,"base":13},"right_expr":{"type":"numeric_atoms","value":1342,"base":13}}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1621,"base":13},"right_expr":{"type":"numeric_atoms","value":4158,"base":13}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":3689,"base":13},"right_expr":{"type":"numeric_atoms","value":2617,"base":13}}}}},"used_operators":["tmPS8pqC7x","dWAJyo7jo9","U7g4x0WXJJ","oacrs7FA3X","23Mk6UjR3U","X99M06cbEe","rysDP5nf3Z","SUmda5xLS4","DlLNRPXxWL","rGHVDoGpnC","inkyxCbjAn","LRNGc0VcxI"],"dependent_operators":["rJVOvQCfKK","k8jYdgA6NY","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rGHVDoGpnC","Tcnh7f0tEr","B5M0gjZbta","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5107","layer":4},{"info":"number node, value=1216","layer":4},{"info":"compute binary expreesion, left_input=5107, right_input=1216, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=10090","layer":3},{"info":"number node, value=1522","layer":4},{"info":"number node, value=7096","layer":4},{"info":"compute binary expreesion, left_input=1522, right_input=7096, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=12670","layer":3},{"info":"compute binary expreesion, left_input=10090, right_input=12670, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=1355","layer":4},{"info":"number node, value=1342","layer":4},{"info":"compute binary expreesion, left_input=1355, right_input=1342, op_id = rysDP5nf3Z binary_op_definition= 'None', output=13","layer":3},{"info":"compute unary expreesion, input=13, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=1427","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1427, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":1},{"info":"number node, value=1621","layer":4},{"info":"number node, value=4158","layer":4},{"info":"compute binary expreesion, left_input=1621, right_input=4158, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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 = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=nan","layer":2},{"info":"number node, value=3689","layer":4},{"info":"number node, value=2617","layer":4},{"info":"compute binary expreesion, left_input=3689, right_input=2617, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=3979, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍242B⪘⫢⪎⋱⫍727∑⇟⊟(⪎⋱⫍901⋷⪎⋱⫍32CB))⪢((⪎⋱⫍803-⪎⋱⫍7C3)≫≃)⨪↰⇹((⫛⫱⨽(⪎⋱⫍979⨟⋌⩍⪎⋱⫍1B7B))⪄(⇁⨣⪵⪎⋱⫍18AA∀⇚≩⪎⋱⫍1264))=NaN","reverse_text":"NaN=(⪎⋱⫍242B⪘⫢⪎⋱⫍727∑⇟⊟(⪎⋱⫍901⋷⪎⋱⫍32CB))⪢((⪎⋱⫍803-⪎⋱⫍7C3)≫≃)⨪↰⇹((⫛⫱⨽(⪎⋱⫍979⨟⋌⩍⪎⋱⫍1B7B))⪄(⇁⨣⪵⪎⋱⫍18AA∀⇚≩⪎⋱⫍1264))","cot":[{"info":"⪎⋱⫍242B⪘⫢⪎⋱⫍727=⪎⋱⫍4792","layer":3},{"info":"⪎⋱⫍901⋷⪎⋱⫍32CB=⪎⋱⫍59C8","layer":3},{"info":"⪎⋱⫍4792∑⇟⊟⪎⋱⫍59C8=NaN","layer":2},{"info":"⪎⋱⫍803-⪎⋱⫍7C3=⪎⋱⫍10","layer":3},{"info":"⪎⋱⫍10≫≃=⪎⋱⫍85A","layer":2},{"info":"NaN⪢⪎⋱⫍85A=NaN","layer":1},{"info":"⪎⋱⫍979⨟⋌⩍⪎⋱⫍1B7B=NaN","layer":3},{"info":"⫛⫱⨽NaN=NaN","layer":2},{"info":"⪎⋱⫍18AA∀⇚≩⪎⋱⫍1264=NaN","layer":3},{"info":"⇁⨣⪵NaN=NaN","layer":2},{"info":"NaN⪄NaN=⪎⋱⫍1A71","layer":1},{"info":"NaN⨪↰⇹⪎⋱⫍1A71=NaN","layer":0}]}
{"id":919,"expression_no_base_symbol":"↥((($4022$+$3743$)⩨(⨑⩽⪐$1420$))⨁⊸⫻)","expression":"↥(((⪎⋱⫍1AA5+⪎⋱⫍191C)⩨(⨑⩽⪐⪎⋱⫍853))⨁⊸⫻)","highest_n_order":2,"priority_hierarchical_complexity":4,"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":4022,"base":13},"right_expr":{"type":"numeric_atoms","value":3743,"base":13}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":1420,"base":13}}}}},"used_operators":["A8NUZmVepG","glklzrTFfD","2DlMacCsIx","W4YGzv6Whe","AF7qkfDlqP"],"dependent_operators":["k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"⪎⋱⫍6","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4022","layer":4},{"info":"number node, value=3743","layer":4},{"info":"compute binary expreesion, left_input=4022, right_input=3743, op_id = W4YGzv6Whe binary_op_definition= 'None', output=7765","layer":3},{"info":"number node, value=1420","layer":4},{"info":"compute unary expreesion, input=1420, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-1147","layer":3},{"info":"compute binary expreesion, left_input=7765, right_input=-1147, 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 = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=6","layer":1},{"info":"compute unary expreesion, input=6, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=6","layer":0}],"base":13,"result_base":13,"text":"↥(((⪎⋱⫍1AA5+⪎⋱⫍191C)⩨(⨑⩽⪐⪎⋱⫍853))⨁⊸⫻)=⪎⋱⫍6","reverse_text":"⪎⋱⫍6=↥(((⪎⋱⫍1AA5+⪎⋱⫍191C)⩨(⨑⩽⪐⪎⋱⫍853))⨁⊸⫻)","cot":[{"info":"⪎⋱⫍1AA5+⪎⋱⫍191C=⪎⋱⫍36C4","layer":3},{"info":"⨑⩽⪐⪎⋱⫍853=⪎⋱⫍-6A3","layer":3},{"info":"⪎⋱⫍36C4⩨⪎⋱⫍-6A3=⪎⋱⫍3","layer":2},{"info":"⪎⋱⫍3⨁⊸⫻=⪎⋱⫍6","layer":1},{"info":"↥⪎⋱⫍6=⪎⋱⫍6","layer":0}]}
{"id":920,"expression_no_base_symbol":"((⨈⫕$9347$⪘⫢$7650$)⨽($1269$%$2580$⪨≂$5402$⊴$7918$))≭(⫓⪴(⊥($6753$⨎$2598$)))","expression":"((⨈⫕⪎⋱⫍4340⪘⫢⪎⋱⫍3636)⨽(⪎⋱⫍768%⪎⋱⫍1236⪨≂⪎⋱⫍25C7⊴⪎⋱⫍37B1))≭(⫓⪴(⊥(⪎⋱⫍30C6⨎⪎⋱⫍124B)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":8365,"operation_count":10,"complexity_ratio":836.5,"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":9347,"base":13},"right_expr":{"type":"numeric_atoms","value":7650,"base":13}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1269,"base":13},"right_expr":{"type":"numeric_atoms","value":2580,"base":13}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":5402,"base":13},"right_expr":{"type":"numeric_atoms","value":7918,"base":13}}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":6753,"base":13},"right_expr":{"type":"numeric_atoms","value":2598,"base":13}}}}},"used_operators":["rxpJgHHUmx","8HhzD0ZcuI","megm06wKyl","oacrs7FA3X","sdazOOVcIp","k8jYdgA6NY","Nsiff2A1zJ","eLxqMNBOBk","Q3PJZHRvZv","rJVOvQCfKK"],"dependent_operators":["AHs5Up7iyr","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","dWAJyo7jo9","14qkJME0vr","9HNa5Wba9A","fu6greOZ01","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=9347","layer":4},{"info":"number node, value=7650","layer":4},{"info":"compute binary expreesion, left_input=9347, right_input=7650, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=18570","layer":3},{"info":"compute unary expreesion, input=18570, 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=1269","layer":4},{"info":"number node, value=2580","layer":4},{"info":"compute binary expreesion, left_input=1269, right_input=2580, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1269","layer":3},{"info":"number node, value=5402","layer":4},{"info":"number node, value=7918","layer":4},{"info":"compute binary expreesion, left_input=5402, right_input=7918, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1269, 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=-21, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":1},{"info":"number node, value=6753","layer":4},{"info":"number node, value=2598","layer":4},{"info":"compute binary expreesion, left_input=6753, right_input=2598, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2598","layer":3},{"info":"compute unary expreesion, input=2598, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=nan","layer":1},{"info":"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":13,"result_base":13,"text":"((⨈⫕⪎⋱⫍4340⪘⫢⪎⋱⫍3636)⨽(⪎⋱⫍768%⪎⋱⫍1236⪨≂⪎⋱⫍25C7⊴⪎⋱⫍37B1))≭(⫓⪴(⊥(⪎⋱⫍30C6⨎⪎⋱⫍124B)))=NaN","reverse_text":"NaN=((⨈⫕⪎⋱⫍4340⪘⫢⪎⋱⫍3636)⨽(⪎⋱⫍768%⪎⋱⫍1236⪨≂⪎⋱⫍25C7⊴⪎⋱⫍37B1))≭(⫓⪴(⊥(⪎⋱⫍30C6⨎⪎⋱⫍124B)))","cot":[{"info":"⪎⋱⫍4340⪘⫢⪎⋱⫍3636=⪎⋱⫍85B6","layer":3},{"info":"⨈⫕⪎⋱⫍85B6=⪎⋱⫍-18","layer":2},{"info":"⪎⋱⫍768%⪎⋱⫍1236=⪎⋱⫍768","layer":3},{"info":"⪎⋱⫍25C7⊴⪎⋱⫍37B1=NaN","layer":3},{"info":"⪎⋱⫍768⪨≂NaN=NaN","layer":2},{"info":"⪎⋱⫍-18⨽NaN=NaN","layer":1},{"info":"⪎⋱⫍30C6⨎⪎⋱⫍124B=⪎⋱⫍124B","layer":3},{"info":"⊥⪎⋱⫍124B=NaN","layer":2},{"info":"⫓⪴NaN=NaN","layer":1},{"info":"NaN≭NaN=NaN","layer":0}]}
{"id":921,"expression_no_base_symbol":"(-$1951$∀⇚≩$1038$+⇶⊼($1334$∲⫓$1288$))⨸⪁($6563$⇷$1672$⇼⇔∾($1059$⩨$1166$))↬($1506$⩷∴$1402$⨐⩸⫘($1207$⪨≂$1520$))","expression":"(-⪎⋱⫍B71∀⇚≩⪎⋱⫍61B+⇶⊼(⪎⋱⫍7B8∲⫓⪎⋱⫍781))⨸⪁(⪎⋱⫍2CAB⇷⪎⋱⫍9B8⇼⇔∾(⪎⋱⫍636⩨⪎⋱⫍6B9))↬(⪎⋱⫍8BB⩷∴⪎⋱⫍83B⨐⩸⫘(⪎⋱⫍71B⪨≂⪎⋱⫍8CC))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":383290,"operation_count":12,"complexity_ratio":31940.833333333332,"tree":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1951,"base":13},"right_expr":{"type":"numeric_atoms","value":1038,"base":13}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1334,"base":13},"right_expr":{"type":"numeric_atoms","value":1288,"base":13}}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":6563,"base":13},"right_expr":{"type":"numeric_atoms","value":1672,"base":13}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1059,"base":13},"right_expr":{"type":"numeric_atoms","value":1166,"base":13}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1506,"base":13},"right_expr":{"type":"numeric_atoms","value":1402,"base":13}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1207,"base":13},"right_expr":{"type":"numeric_atoms","value":1520,"base":13}}}}},"used_operators":["g55IO6H4Gj","t8gj7n24qd","TpPTUOHfaN","LRNGc0VcxI","i8ToyICDmI","B5M0gjZbta","tifHPKVTfV","mp7IySMOzn","2DlMacCsIx","fu6greOZ01","9FxExcQeMw","sdazOOVcIp"],"dependent_operators":["W4YGzv6Whe","AHs5Up7iyr","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","3ViojmjbAp","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1951","layer":4},{"info":"number node, value=1038","layer":4},{"info":"compute binary expreesion, left_input=1951, right_input=1038, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1334","layer":4},{"info":"number node, value=1288","layer":4},{"info":"compute binary expreesion, left_input=1334, right_input=1288, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = t8gj7n24qd, unary_op_definition = 'None', output=0","layer":1},{"info":"number node, value=6563","layer":4},{"info":"number node, value=1672","layer":4},{"info":"compute binary expreesion, left_input=6563, right_input=1672, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3344","layer":3},{"info":"number node, value=1059","layer":4},{"info":"number node, value=1166","layer":4},{"info":"compute binary expreesion, left_input=1059, right_input=1166, 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=3344, right_input=-3, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-3347","layer":2},{"info":"number node, value=1506","layer":4},{"info":"number node, value=1402","layer":4},{"info":"compute binary expreesion, left_input=1506, right_input=1402, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=176","layer":3},{"info":"number node, value=1207","layer":4},{"info":"number node, value=1520","layer":4},{"info":"compute binary expreesion, left_input=1207, right_input=1520, op_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":"compute binary expreesion, left_input=176, right_input=-524, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=-521","layer":2},{"info":"compute binary expreesion, left_input=-3347, right_input=-521, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(-⪎⋱⫍B71∀⇚≩⪎⋱⫍61B+⇶⊼(⪎⋱⫍7B8∲⫓⪎⋱⫍781))⨸⪁(⪎⋱⫍2CAB⇷⪎⋱⫍9B8⇼⇔∾(⪎⋱⫍636⩨⪎⋱⫍6B9))↬(⪎⋱⫍8BB⩷∴⪎⋱⫍83B⨐⩸⫘(⪎⋱⫍71B⪨≂⪎⋱⫍8CC))=NaN","reverse_text":"NaN=(-⪎⋱⫍B71∀⇚≩⪎⋱⫍61B+⇶⊼(⪎⋱⫍7B8∲⫓⪎⋱⫍781))⨸⪁(⪎⋱⫍2CAB⇷⪎⋱⫍9B8⇼⇔∾(⪎⋱⫍636⩨⪎⋱⫍6B9))↬(⪎⋱⫍8BB⩷∴⪎⋱⫍83B⨐⩸⫘(⪎⋱⫍71B⪨≂⪎⋱⫍8CC))","cot":[{"info":"⪎⋱⫍B71∀⇚≩⪎⋱⫍61B=NaN","layer":3},{"info":"⪎⋱⫍7B8∲⫓⪎⋱⫍781=⪎⋱⫍0","layer":3},{"info":"NaN+⇶⊼⪎⋱⫍0=⪎⋱⫍0","layer":2},{"info":"-⪎⋱⫍0=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍2CAB⇷⪎⋱⫍9B8=⪎⋱⫍16A3","layer":3},{"info":"⪎⋱⫍636⩨⪎⋱⫍6B9=⪎⋱⫍-3","layer":3},{"info":"⪎⋱⫍16A3⇼⇔∾⪎⋱⫍-3=⪎⋱⫍-16A6","layer":2},{"info":"⪎⋱⫍8BB⩷∴⪎⋱⫍83B=⪎⋱⫍107","layer":3},{"info":"⪎⋱⫍71B⪨≂⪎⋱⫍8CC=⪎⋱⫍-314","layer":3},{"info":"⪎⋱⫍107⨐⩸⫘⪎⋱⫍-314=⪎⋱⫍-311","layer":2},{"info":"⪎⋱⫍-16A6↬⪎⋱⫍-311=NaN","layer":1},{"info":"⪎⋱⫍0⨸⪁NaN=NaN","layer":0}]}
{"id":922,"expression_no_base_symbol":"($1062$*$4681$⪨≂(⨑⩽⪐$4007$))⇷(($4762$+$7507$)+⇶⊼($8547$⨵⪆$2299$))⪨≂(⪝⪂⫅($1193$⨐⩸⫘$1284$⫡⨏$3438$⨟⋌⩍$7123$))","expression":"(⪎⋱⫍639*⪎⋱⫍2191⪨≂(⨑⩽⪐⪎⋱⫍1A93))⇷((⪎⋱⫍2224+⪎⋱⫍3556)+⇶⊼(⪎⋱⫍3B76⨵⪆⪎⋱⫍107B))⪨≂(⪝⪂⫅(⪎⋱⫍70A⨐⩸⫘⪎⋱⫍77A⫡⨏⪎⋱⫍1746⨟⋌⩍⪎⋱⫍331C))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1099,"operation_count":12,"complexity_ratio":91.58333333333333,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1062,"base":13},"right_expr":{"type":"numeric_atoms","value":4681,"base":13}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":4007,"base":13}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":4762,"base":13},"right_expr":{"type":"numeric_atoms","value":7507,"base":13}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":8547,"base":13},"right_expr":{"type":"numeric_atoms","value":2299,"base":13}}}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1193,"base":13},"right_expr":{"type":"numeric_atoms","value":1284,"base":13}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":3438,"base":13},"right_expr":{"type":"numeric_atoms","value":7123,"base":13}}}}},"used_operators":["sdazOOVcIp","mp7IySMOzn","9HNa5Wba9A","AF7qkfDlqP","TpPTUOHfaN","W4YGzv6Whe","2DQ55sFlQl","XTarYq4gQB","QMFrweE19q","fu6greOZ01","rGHVDoGpnC"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1062","layer":4},{"info":"number node, value=4681","layer":4},{"info":"compute binary expreesion, left_input=1062, right_input=4681, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=4971222","layer":3},{"info":"number node, value=4007","layer":4},{"info":"compute unary expreesion, input=4007, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-3734","layer":3},{"info":"compute binary expreesion, left_input=4971222, right_input=-3734, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=9950014","layer":2},{"info":"number node, value=4762","layer":4},{"info":"number node, value=7507","layer":4},{"info":"compute binary expreesion, left_input=4762, right_input=7507, op_id = W4YGzv6Whe binary_op_definition= 'None', output=12269","layer":3},{"info":"number node, value=8547","layer":4},{"info":"number node, value=2299","layer":4},{"info":"compute binary expreesion, left_input=8547, right_input=2299, 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=12269, right_input=160, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=9950014, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":1},{"info":"number node, value=1193","layer":4},{"info":"number node, value=1284","layer":4},{"info":"compute binary expreesion, left_input=1193, right_input=1284, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=3438","layer":4},{"info":"number node, value=7123","layer":4},{"info":"compute binary expreesion, left_input=3438, right_input=7123, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍639*⪎⋱⫍2191⪨≂(⨑⩽⪐⪎⋱⫍1A93))⇷((⪎⋱⫍2224+⪎⋱⫍3556)+⇶⊼(⪎⋱⫍3B76⨵⪆⪎⋱⫍107B))⪨≂(⪝⪂⫅(⪎⋱⫍70A⨐⩸⫘⪎⋱⫍77A⫡⨏⪎⋱⫍1746⨟⋌⩍⪎⋱⫍331C))=NaN","reverse_text":"NaN=(⪎⋱⫍639*⪎⋱⫍2191⪨≂(⨑⩽⪐⪎⋱⫍1A93))⇷((⪎⋱⫍2224+⪎⋱⫍3556)+⇶⊼(⪎⋱⫍3B76⨵⪆⪎⋱⫍107B))⪨≂(⪝⪂⫅(⪎⋱⫍70A⨐⩸⫘⪎⋱⫍77A⫡⨏⪎⋱⫍1746⨟⋌⩍⪎⋱⫍331C))","cot":[{"info":"⪎⋱⫍639*⪎⋱⫍2191=⪎⋱⫍1050969","layer":3},{"info":"⨑⩽⪐⪎⋱⫍1A93=⪎⋱⫍-1913","layer":3},{"info":"⪎⋱⫍1050969⪨≂⪎⋱⫍-1913=⪎⋱⫍20A4BA9","layer":2},{"info":"⪎⋱⫍2224+⪎⋱⫍3556=⪎⋱⫍577A","layer":3},{"info":"⪎⋱⫍3B76⨵⪆⪎⋱⫍107B=⪎⋱⫍C4","layer":3},{"info":"⪎⋱⫍577A+⇶⊼⪎⋱⫍C4=NaN","layer":2},{"info":"⪎⋱⫍20A4BA9⇷NaN=NaN","layer":1},{"info":"⪎⋱⫍70A⨐⩸⫘⪎⋱⫍77A=NaN","layer":3},{"info":"⪎⋱⫍1746⨟⋌⩍⪎⋱⫍331C=NaN","layer":3},{"info":"NaN⫡⨏NaN=NaN","layer":2},{"info":"⪝⪂⫅NaN=NaN","layer":1},{"info":"NaN⪨≂NaN=NaN","layer":0}]}
{"id":923,"expression_no_base_symbol":"((⨵≀≌$3701$≹⇙⪍$4488$)≫≃)⊉≛↸(⨑⩽⪐($2414$⪒$3544$)⨎$5653$⪢$2735$)","expression":"((⨵≀≌⪎⋱⫍18B9≹⇙⪍⪎⋱⫍2073)≫≃)⊉≛↸(⨑⩽⪐(⪎⋱⫍1139⪒⪎⋱⫍17C8)⨎⪎⋱⫍275B⪢⪎⋱⫍1325)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":11596,"operation_count":8,"complexity_ratio":1449.5,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":3701,"base":13},"right_expr":{"type":"numeric_atoms","value":4488,"base":13}}}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2414,"base":13},"right_expr":{"type":"numeric_atoms","value":3544,"base":13}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":5653,"base":13},"right_expr":{"type":"numeric_atoms","value":2735,"base":13}}}}},"used_operators":["DZ8iAZOCBD","X99M06cbEe","srAu1WTS94","AHs5Up7iyr","AF7qkfDlqP","rJVOvQCfKK","f6k1SAg4EE","dWAJyo7jo9"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3701","layer":4},{"info":"number node, value=4488","layer":4},{"info":"compute binary expreesion, left_input=3701, right_input=4488, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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 = 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 = 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=2414","layer":4},{"info":"number node, value=3544","layer":4},{"info":"compute binary expreesion, left_input=2414, right_input=3544, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5958","layer":3},{"info":"number node, value=5653","layer":4},{"info":"number node, value=2735","layer":4},{"info":"compute binary expreesion, left_input=5653, right_input=2735, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=-5958, right_input=nan, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 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 = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⨵≀≌⪎⋱⫍18B9≹⇙⪍⪎⋱⫍2073)≫≃)⊉≛↸(⨑⩽⪐(⪎⋱⫍1139⪒⪎⋱⫍17C8)⨎⪎⋱⫍275B⪢⪎⋱⫍1325)=NaN","reverse_text":"NaN=((⨵≀≌⪎⋱⫍18B9≹⇙⪍⪎⋱⫍2073)≫≃)⊉≛↸(⨑⩽⪐(⪎⋱⫍1139⪒⪎⋱⫍17C8)⨎⪎⋱⫍275B⪢⪎⋱⫍1325)","cot":[{"info":"⪎⋱⫍18B9≹⇙⪍⪎⋱⫍2073=NaN","layer":3},{"info":"⨵≀≌NaN=NaN","layer":2},{"info":"NaN≫≃=NaN","layer":1},{"info":"⪎⋱⫍1139⪒⪎⋱⫍17C8=⪎⋱⫍-2934","layer":3},{"info":"⪎⋱⫍275B⪢⪎⋱⫍1325=NaN","layer":3},{"info":"⪎⋱⫍-2934⨎NaN=NaN","layer":2},{"info":"⨑⩽⪐NaN=NaN","layer":1},{"info":"NaN⊉≛↸NaN=NaN","layer":0}]}
{"id":924,"expression_no_base_symbol":"((↣≠⋷($4932$⫸⊐$5363$))⇷(↣≠⋷($3233$+$7863$)))⊴(((↥$5644$)⨵⪆($1144$⊦⊿))+⇶⊼(⪝⪂⫅(↔$3592$)))","expression":"((↣≠⋷(⪎⋱⫍2325⫸⊐⪎⋱⫍2597))⇷(↣≠⋷(⪎⋱⫍1619+⪎⋱⫍376B)))⊴(((↥⪎⋱⫍2752)⨵⪆(⪎⋱⫍6A0⊦⊿))+⇶⊼(⪝⪂⫅(↔⪎⋱⫍1834)))","highest_n_order":5,"priority_hierarchical_complexity":6,"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":4932,"base":13},"right_expr":{"type":"numeric_atoms","value":5363,"base":13}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":3233,"base":13},"right_expr":{"type":"numeric_atoms","value":7863,"base":13}}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":5644,"base":13}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":1144,"base":13}}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":3592,"base":13}}}}},"used_operators":["Nsiff2A1zJ","mp7IySMOzn","Asc51vEJeQ","mqXw5SEYmG","W4YGzv6Whe","TpPTUOHfaN","2DQ55sFlQl","A8NUZmVepG","14qkJME0vr","XTarYq4gQB","ruOEQAzv1W"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","XhwjNDsVaA","AHs5Up7iyr","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4932","layer":4},{"info":"number node, value=5363","layer":4},{"info":"compute binary expreesion, left_input=4932, right_input=5363, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=21327","layer":3},{"info":"compute unary expreesion, input=21327, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"number node, value=3233","layer":4},{"info":"number node, value=7863","layer":4},{"info":"compute binary expreesion, left_input=3233, right_input=7863, op_id = W4YGzv6Whe binary_op_definition= 'None', output=11096","layer":3},{"info":"compute unary expreesion, input=11096, 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 = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":1},{"info":"number node, value=5644","layer":4},{"info":"compute unary expreesion, input=5644, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=34","layer":3},{"info":"number node, value=1144","layer":4},{"info":"compute unary expreesion, input=1144, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-3511","layer":3},{"info":"compute binary expreesion, left_input=34, right_input=-3511, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=3592","layer":4},{"info":"compute unary expreesion, input=3592, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-3319","layer":3},{"info":"compute unary expreesion, input=-3319, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=487893","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=487893, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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 = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((↣≠⋷(⪎⋱⫍2325⫸⊐⪎⋱⫍2597))⇷(↣≠⋷(⪎⋱⫍1619+⪎⋱⫍376B)))⊴(((↥⪎⋱⫍2752)⨵⪆(⪎⋱⫍6A0⊦⊿))+⇶⊼(⪝⪂⫅(↔⪎⋱⫍1834)))=NaN","reverse_text":"NaN=((↣≠⋷(⪎⋱⫍2325⫸⊐⪎⋱⫍2597))⇷(↣≠⋷(⪎⋱⫍1619+⪎⋱⫍376B)))⊴(((↥⪎⋱⫍2752)⨵⪆(⪎⋱⫍6A0⊦⊿))+⇶⊼(⪝⪂⫅(↔⪎⋱⫍1834)))","cot":[{"info":"⪎⋱⫍2325⫸⊐⪎⋱⫍2597=⪎⋱⫍9927","layer":3},{"info":"↣≠⋷⪎⋱⫍9927=NaN","layer":2},{"info":"⪎⋱⫍1619+⪎⋱⫍376B=⪎⋱⫍5087","layer":3},{"info":"↣≠⋷⪎⋱⫍5087=NaN","layer":2},{"info":"NaN⇷NaN=NaN","layer":1},{"info":"↥⪎⋱⫍2752=⪎⋱⫍28","layer":3},{"info":"⪎⋱⫍6A0⊦⊿=⪎⋱⫍-17A1","layer":3},{"info":"⪎⋱⫍28⨵⪆⪎⋱⫍-17A1=⪎⋱⫍C4","layer":2},{"info":"↔⪎⋱⫍1834=⪎⋱⫍-1684","layer":3},{"info":"⪝⪂⫅⪎⋱⫍-1684=⪎⋱⫍1410C3","layer":2},{"info":"⪎⋱⫍C4+⇶⊼⪎⋱⫍1410C3=NaN","layer":1},{"info":"NaN⊴NaN=NaN","layer":0}]}
{"id":925,"expression_no_base_symbol":"∥⊫($1176$⪒$3521$)↬($1121$⨓$7656$)⨐⩸⫘($1065$↺$1145$)⊴($1391$*$2001$)","expression":"∥⊫(⪎⋱⫍6C6⪒⪎⋱⫍17AB)↬(⪎⋱⫍683⨓⪎⋱⫍363C)⨐⩸⫘(⪎⋱⫍63C↺⪎⋱⫍6A1)⊴(⪎⋱⫍830*⪎⋱⫍BAC)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":9070,"operation_count":8,"complexity_ratio":1133.75,"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":1176,"base":13},"right_expr":{"type":"numeric_atoms","value":3521,"base":13}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1121,"base":13},"right_expr":{"type":"numeric_atoms","value":7656,"base":13}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1065,"base":13},"right_expr":{"type":"numeric_atoms","value":1145,"base":13}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1391,"base":13},"right_expr":{"type":"numeric_atoms","value":2001,"base":13}}}}},"used_operators":["P8v4zCKN1o","fu6greOZ01","B5M0gjZbta","f6k1SAg4EE","3ViojmjbAp","Nsiff2A1zJ","7j4O788W3g","9HNa5Wba9A"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1176","layer":4},{"info":"number node, value=3521","layer":4},{"info":"compute binary expreesion, left_input=1176, right_input=3521, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4697","layer":3},{"info":"number node, value=1121","layer":4},{"info":"number node, value=7656","layer":4},{"info":"compute binary expreesion, left_input=1121, right_input=7656, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-7659","layer":3},{"info":"compute binary expreesion, left_input=-4697, right_input=-7659, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=1065","layer":4},{"info":"number node, value=1145","layer":4},{"info":"compute binary expreesion, left_input=1065, right_input=1145, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1145","layer":3},{"info":"number node, value=1391","layer":4},{"info":"number node, value=2001","layer":4},{"info":"compute binary expreesion, left_input=1391, right_input=2001, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=2783391","layer":3},{"info":"compute binary expreesion, left_input=1145, right_input=2783391, 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 = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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 = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"∥⊫(⪎⋱⫍6C6⪒⪎⋱⫍17AB)↬(⪎⋱⫍683⨓⪎⋱⫍363C)⨐⩸⫘(⪎⋱⫍63C↺⪎⋱⫍6A1)⊴(⪎⋱⫍830*⪎⋱⫍BAC)=NaN","reverse_text":"NaN=∥⊫(⪎⋱⫍6C6⪒⪎⋱⫍17AB)↬(⪎⋱⫍683⨓⪎⋱⫍363C)⨐⩸⫘(⪎⋱⫍63C↺⪎⋱⫍6A1)⊴(⪎⋱⫍830*⪎⋱⫍BAC)","cot":[{"info":"⪎⋱⫍6C6⪒⪎⋱⫍17AB=⪎⋱⫍-21A4","layer":3},{"info":"⪎⋱⫍683⨓⪎⋱⫍363C=⪎⋱⫍-3642","layer":3},{"info":"⪎⋱⫍-21A4↬⪎⋱⫍-3642=NaN","layer":2},{"info":"⪎⋱⫍63C↺⪎⋱⫍6A1=⪎⋱⫍6A1","layer":3},{"info":"⪎⋱⫍830*⪎⋱⫍BAC=⪎⋱⫍765BA0","layer":3},{"info":"⪎⋱⫍6A1⊴⪎⋱⫍765BA0=NaN","layer":2},{"info":"NaN⨐⩸⫘NaN=NaN","layer":1},{"info":"∥⊫NaN=NaN","layer":0}]}
{"id":926,"expression_no_base_symbol":"((⨵≀≌(+⊝⨔$2796$))⪘⫢(($4657$⊭∹↮)⨵⪆$1263$⊴$2474$))⨟⋌⩍(($5875$≹⇙⪍$1294$⋷$3862$⊭↱$1830$)∼(($1109$⫥∨⫟$1888$)≎⊠⪸$3113$⨟⋌⩍$1793$))","expression":"((⨵≀≌(+⊝⨔⪎⋱⫍1371))⪘⫢((⪎⋱⫍2173⊭∹↮)⨵⪆⪎⋱⫍762⊴⪎⋱⫍1184))⨟⋌⩍((⪎⋱⫍289C≹⇙⪍⪎⋱⫍787⋷⪎⋱⫍19B1⊭↱⪎⋱⫍AAA)∼((⪎⋱⫍674⫥∨⫟⪎⋱⫍B23)≎⊠⪸⪎⋱⫍1556⨟⋌⩍⪎⋱⫍A7C))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":3004,"operation_count":14,"complexity_ratio":214.57142857142858,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":2796,"base":13}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":4657,"base":13}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1263,"base":13},"right_expr":{"type":"numeric_atoms","value":2474,"base":13}}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":5875,"base":13},"right_expr":{"type":"numeric_atoms","value":1294,"base":13}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":3862,"base":13},"right_expr":{"type":"numeric_atoms","value":1830,"base":13}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1109,"base":13},"right_expr":{"type":"numeric_atoms","value":1888,"base":13}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":3113,"base":13},"right_expr":{"type":"numeric_atoms","value":1793,"base":13}}}}},"used_operators":["rGHVDoGpnC","oacrs7FA3X","srAu1WTS94","DhbWaqg5eL","2DQ55sFlQl","xNBdhnnwKq","Nsiff2A1zJ","DyGG3AbaNP","23Mk6UjR3U","AHs5Up7iyr","COABgblf1C","bJkvcejdHO","KYD54nUTWz"],"dependent_operators":["Tcnh7f0tEr","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","dWAJyo7jo9","14qkJME0vr","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","8HhzD0ZcuI","rGHVDoGpnC"],"result":"⪎⋱⫍-1","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2796","layer":4},{"info":"compute unary expreesion, input=2796, 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 = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-4566","layer":2},{"info":"number node, value=4657","layer":4},{"info":"compute unary expreesion, input=4657, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=9314","layer":3},{"info":"number node, value=1263","layer":4},{"info":"number node, value=2474","layer":4},{"info":"compute binary expreesion, left_input=1263, right_input=2474, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=9314, 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=-4566, right_input=160, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=-1","layer":1},{"info":"number node, value=5875","layer":4},{"info":"number node, value=1294","layer":4},{"info":"compute binary expreesion, left_input=5875, right_input=1294, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=3862","layer":4},{"info":"number node, value=1830","layer":4},{"info":"compute binary expreesion, left_input=3862, right_input=1830, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-4059","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-4059, 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=1109","layer":4},{"info":"number node, value=1888","layer":4},{"info":"compute binary expreesion, left_input=1109, right_input=1888, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=3113","layer":4},{"info":"number node, value=1793","layer":4},{"info":"compute binary expreesion, left_input=3113, right_input=1793, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":2},{"info":"compute 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 binary expreesion, left_input=-1, 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=-1","layer":0}],"base":13,"result_base":13,"text":"((⨵≀≌(+⊝⨔⪎⋱⫍1371))⪘⫢((⪎⋱⫍2173⊭∹↮)⨵⪆⪎⋱⫍762⊴⪎⋱⫍1184))⨟⋌⩍((⪎⋱⫍289C≹⇙⪍⪎⋱⫍787⋷⪎⋱⫍19B1⊭↱⪎⋱⫍AAA)∼((⪎⋱⫍674⫥∨⫟⪎⋱⫍B23)≎⊠⪸⪎⋱⫍1556⨟⋌⩍⪎⋱⫍A7C))=⪎⋱⫍-1","reverse_text":"⪎⋱⫍-1=((⨵≀≌(+⊝⨔⪎⋱⫍1371))⪘⫢((⪎⋱⫍2173⊭∹↮)⨵⪆⪎⋱⫍762⊴⪎⋱⫍1184))⨟⋌⩍((⪎⋱⫍289C≹⇙⪍⪎⋱⫍787⋷⪎⋱⫍19B1⊭↱⪎⋱⫍AAA)∼((⪎⋱⫍674⫥∨⫟⪎⋱⫍B23)≎⊠⪸⪎⋱⫍1556⨟⋌⩍⪎⋱⫍A7C))","cot":[{"info":"+⊝⨔⪎⋱⫍1371=⪎⋱⫍901","layer":3},{"info":"⨵≀≌⪎⋱⫍901=⪎⋱⫍-2103","layer":2},{"info":"⪎⋱⫍2173⊭∹↮=⪎⋱⫍4316","layer":3},{"info":"⪎⋱⫍762⊴⪎⋱⫍1184=NaN","layer":3},{"info":"⪎⋱⫍4316⨵⪆NaN=⪎⋱⫍C4","layer":2},{"info":"⪎⋱⫍-2103⪘⫢⪎⋱⫍C4=⪎⋱⫍-1","layer":1},{"info":"⪎⋱⫍289C≹⇙⪍⪎⋱⫍787=NaN","layer":3},{"info":"⪎⋱⫍19B1⊭↱⪎⋱⫍AAA=⪎⋱⫍-1B03","layer":3},{"info":"NaN⋷⪎⋱⫍-1B03=NaN","layer":2},{"info":"⪎⋱⫍674⫥∨⫟⪎⋱⫍B23=NaN","layer":3},{"info":"⪎⋱⫍1556⨟⋌⩍⪎⋱⫍A7C=NaN","layer":3},{"info":"NaN≎⊠⪸NaN=⪎⋱⫍52","layer":2},{"info":"NaN∼⪎⋱⫍52=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍-1⨟⋌⩍⪎⋱⫍0=⪎⋱⫍-1","layer":0}]}
{"id":927,"expression_no_base_symbol":"(⩦⩻⨪$3290$≹⇙⪍$6570$)+⇶⊼(($5070$⋷$1001$)≭($1431$⩚⊴⇥$5103$))≣⋋","expression":"(⩦⩻⨪⪎⋱⫍1661≹⇙⪍⪎⋱⫍2CB5)+⇶⊼((⪎⋱⫍2400⋷⪎⋱⫍5C0)≭(⪎⋱⫍861⩚⊴⇥⪎⋱⫍2427))≣⋋","highest_n_order":5,"priority_hierarchical_complexity":5,"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":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":3290,"base":13},"right_expr":{"type":"numeric_atoms","value":6570,"base":13}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":5070,"base":13},"right_expr":{"type":"numeric_atoms","value":1001,"base":13}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1431,"base":13},"right_expr":{"type":"numeric_atoms","value":5103,"base":13}}}}},"used_operators":["Tcnh7f0tEr","TpPTUOHfaN","2td37pGCOC","AHs5Up7iyr","rxpJgHHUmx","23Mk6UjR3U","NTOWxs364D"],"dependent_operators":["dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3290","layer":4},{"info":"number node, value=6570","layer":4},{"info":"compute binary expreesion, left_input=3290, right_input=6570, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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 = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=nan","layer":2},{"info":"number node, value=5070","layer":4},{"info":"number node, value=1001","layer":4},{"info":"compute binary expreesion, left_input=5070, right_input=1001, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-3068","layer":3},{"info":"number node, value=1431","layer":4},{"info":"number node, value=5103","layer":4},{"info":"compute binary expreesion, left_input=1431, right_input=5103, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-6655","layer":3},{"info":"compute binary expreesion, left_input=-3068, right_input=-6655, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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 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":13,"result_base":13,"text":"(⩦⩻⨪⪎⋱⫍1661≹⇙⪍⪎⋱⫍2CB5)+⇶⊼((⪎⋱⫍2400⋷⪎⋱⫍5C0)≭(⪎⋱⫍861⩚⊴⇥⪎⋱⫍2427))≣⋋=NaN","reverse_text":"NaN=(⩦⩻⨪⪎⋱⫍1661≹⇙⪍⪎⋱⫍2CB5)+⇶⊼((⪎⋱⫍2400⋷⪎⋱⫍5C0)≭(⪎⋱⫍861⩚⊴⇥⪎⋱⫍2427))≣⋋","cot":[{"info":"⪎⋱⫍1661≹⇙⪍⪎⋱⫍2CB5=NaN","layer":3},{"info":"⩦⩻⨪NaN=NaN","layer":2},{"info":"⪎⋱⫍2400⋷⪎⋱⫍5C0=⪎⋱⫍-1520","layer":3},{"info":"⪎⋱⫍861⩚⊴⇥⪎⋱⫍2427=⪎⋱⫍-304C","layer":3},{"info":"⪎⋱⫍-1520≭⪎⋱⫍-304C=NaN","layer":2},{"info":"NaN+⇶⊼NaN=NaN","layer":1},{"info":"NaN≣⋋=NaN","layer":0}]}
{"id":928,"expression_no_base_symbol":"($3614$⨽$4106$)⪢($6523$+$5135$)∼($1105$⊴$1292$+$8111$⩷∴$1523$)⩨(((+⊝⨔$7109$)≫≃)⪒((⫛⫱⨽$4057$)↪⪝))","expression":"(⪎⋱⫍1850⨽⪎⋱⫍1B3B)⪢(⪎⋱⫍2C7A+⪎⋱⫍2450)∼(⪎⋱⫍670⊴⪎⋱⫍785+⪎⋱⫍38CC⩷∴⪎⋱⫍902)⩨(((+⊝⨔⪎⋱⫍330B)≫≃)⪒((⫛⫱⨽⪎⋱⫍1B01)↪⪝))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2989794,"operation_count":13,"complexity_ratio":229984.15384615384,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":3614,"base":13},"right_expr":{"type":"numeric_atoms","value":4106,"base":13}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":6523,"base":13},"right_expr":{"type":"numeric_atoms","value":5135,"base":13}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1105,"base":13},"right_expr":{"type":"numeric_atoms","value":1292,"base":13}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":8111,"base":13},"right_expr":{"type":"numeric_atoms","value":1523,"base":13}}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":7109,"base":13}}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":4057,"base":13}}}}},"used_operators":["2DlMacCsIx","DyGG3AbaNP","dWAJyo7jo9","8HhzD0ZcuI","W4YGzv6Whe","Nsiff2A1zJ","9FxExcQeMw","f6k1SAg4EE","X99M06cbEe","DhbWaqg5eL","l07mrZUIn9","DlLNRPXxWL"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","k8jYdgA6NY","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","9HNa5Wba9A","2DDjHMKMc0","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3614","layer":4},{"info":"number node, value=4106","layer":4},{"info":"compute binary expreesion, left_input=3614, right_input=4106, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-39193992","layer":3},{"info":"number node, value=6523","layer":4},{"info":"number node, value=5135","layer":4},{"info":"compute binary expreesion, left_input=6523, right_input=5135, op_id = W4YGzv6Whe binary_op_definition= 'None', output=11658","layer":3},{"info":"compute binary expreesion, left_input=-39193992, right_input=11658, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=1105","layer":4},{"info":"number node, value=1292","layer":4},{"info":"compute binary expreesion, left_input=1105, right_input=1292, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=8111","layer":4},{"info":"number node, value=1523","layer":4},{"info":"compute binary expreesion, left_input=8111, right_input=1523, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=13144","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=13144, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":1},{"info":"number node, value=7109","layer":4},{"info":"compute unary expreesion, input=7109, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":3},{"info":"compute unary expreesion, input=1522, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=4445","layer":2},{"info":"number node, value=4057","layer":4},{"info":"compute unary expreesion, input=4057, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', 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=4445, right_input=0, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4445","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-4445, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍1850⨽⪎⋱⫍1B3B)⪢(⪎⋱⫍2C7A+⪎⋱⫍2450)∼(⪎⋱⫍670⊴⪎⋱⫍785+⪎⋱⫍38CC⩷∴⪎⋱⫍902)⩨(((+⊝⨔⪎⋱⫍330B)≫≃)⪒((⫛⫱⨽⪎⋱⫍1B01)↪⪝))=NaN","reverse_text":"NaN=(⪎⋱⫍1850⨽⪎⋱⫍1B3B)⪢(⪎⋱⫍2C7A+⪎⋱⫍2450)∼(⪎⋱⫍670⊴⪎⋱⫍785+⪎⋱⫍38CC⩷∴⪎⋱⫍902)⩨(((+⊝⨔⪎⋱⫍330B)≫≃)⪒((⫛⫱⨽⪎⋱⫍1B01)↪⪝))","cot":[{"info":"⪎⋱⫍1850⨽⪎⋱⫍1B3B=⪎⋱⫍-8173A16","layer":3},{"info":"⪎⋱⫍2C7A+⪎⋱⫍2450=⪎⋱⫍53CA","layer":3},{"info":"⪎⋱⫍-8173A16⪢⪎⋱⫍53CA=NaN","layer":2},{"info":"⪎⋱⫍670⊴⪎⋱⫍785=NaN","layer":3},{"info":"⪎⋱⫍38CC⩷∴⪎⋱⫍902=⪎⋱⫍5CA1","layer":3},{"info":"NaN+⪎⋱⫍5CA1=NaN","layer":2},{"info":"NaN∼NaN=NaN","layer":1},{"info":"+⊝⨔⪎⋱⫍330B=⪎⋱⫍901","layer":3},{"info":"⪎⋱⫍901≫≃=⪎⋱⫍203C","layer":2},{"info":"⫛⫱⨽⪎⋱⫍1B01=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍0↪⪝=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍203C⪒⪎⋱⫍0=⪎⋱⫍-203C","layer":1},{"info":"NaN⩨⪎⋱⫍-203C=NaN","layer":0}]}
{"id":929,"expression_no_base_symbol":"(($1000$⇋≉)⨵⪆$2402$⪒$5064$)⊴(($1236$⨐⩸⫘$2434$)⊪)⨎(((⪝⪂⫅$2371$)⩨($3254$⊉≛↸$1496$))↺((⪲⇎$6674$)∲⫓(⊙↵-$4043$)))","expression":"((⪎⋱⫍5BC⇋≉)⨵⪆⪎⋱⫍112A⪒⪎⋱⫍23C7)⊴((⪎⋱⫍741⨐⩸⫘⪎⋱⫍1153)⊪)⨎(((⪝⪂⫅⪎⋱⫍1105)⩨(⪎⋱⫍1634⊉≛↸⪎⋱⫍8B1))↺((⪲⇎⪎⋱⫍3065)∲⫓(⊙↵-⪎⋱⫍1AC0)))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":4279,"operation_count":14,"complexity_ratio":305.64285714285717,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":1000,"base":13}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2402,"base":13},"right_expr":{"type":"numeric_atoms","value":5064,"base":13}}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1236,"base":13},"right_expr":{"type":"numeric_atoms","value":2434,"base":13}}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":2371,"base":13}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":3254,"base":13},"right_expr":{"type":"numeric_atoms","value":1496,"base":13}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":6674,"base":13}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":4043,"base":13}}}}},"used_operators":["rJVOvQCfKK","Nsiff2A1zJ","2DQ55sFlQl","XIabStNQrY","f6k1SAg4EE","zVYPLywUTj","fu6greOZ01","7j4O788W3g","2DlMacCsIx","XTarYq4gQB","DZ8iAZOCBD","i8ToyICDmI","XPYlsWDdGa","oWn0xqSxBt"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","9HNa5Wba9A","8w2t5hMYqp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X"],"result":"⪎⋱⫍60CA","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1000","layer":4},{"info":"compute unary expreesion, input=1000, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=1902","layer":3},{"info":"number node, value=2402","layer":4},{"info":"number node, value=5064","layer":4},{"info":"compute binary expreesion, left_input=2402, right_input=5064, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-7466","layer":3},{"info":"compute binary expreesion, left_input=1902, right_input=-7466, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=1236","layer":4},{"info":"number node, value=2434","layer":4},{"info":"compute binary expreesion, left_input=1236, right_input=2434, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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 = 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=160, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=2371","layer":4},{"info":"compute unary expreesion, input=2371, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-348537","layer":3},{"info":"number node, value=3254","layer":4},{"info":"number node, value=1496","layer":4},{"info":"compute binary expreesion, left_input=3254, right_input=1496, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=6508","layer":3},{"info":"compute binary expreesion, left_input=-348537, right_input=6508, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=3","layer":2},{"info":"number node, value=6674","layer":4},{"info":"compute unary expreesion, input=6674, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=13348","layer":3},{"info":"number node, value=4043","layer":4},{"info":"compute unary expreesion, input=4043, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=13348, right_input=-1, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=13348","layer":2},{"info":"compute binary expreesion, left_input=3, right_input=13348, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=13348","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=13348, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=13348","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍5BC⇋≉)⨵⪆⪎⋱⫍112A⪒⪎⋱⫍23C7)⊴((⪎⋱⫍741⨐⩸⫘⪎⋱⫍1153)⊪)⨎(((⪝⪂⫅⪎⋱⫍1105)⩨(⪎⋱⫍1634⊉≛↸⪎⋱⫍8B1))↺((⪲⇎⪎⋱⫍3065)∲⫓(⊙↵-⪎⋱⫍1AC0)))=⪎⋱⫍60CA","reverse_text":"⪎⋱⫍60CA=((⪎⋱⫍5BC⇋≉)⨵⪆⪎⋱⫍112A⪒⪎⋱⫍23C7)⊴((⪎⋱⫍741⨐⩸⫘⪎⋱⫍1153)⊪)⨎(((⪝⪂⫅⪎⋱⫍1105)⩨(⪎⋱⫍1634⊉≛↸⪎⋱⫍8B1))↺((⪲⇎⪎⋱⫍3065)∲⫓(⊙↵-⪎⋱⫍1AC0)))","cot":[{"info":"⪎⋱⫍5BC⇋≉=⪎⋱⫍B34","layer":3},{"info":"⪎⋱⫍112A⪒⪎⋱⫍23C7=⪎⋱⫍-3524","layer":3},{"info":"⪎⋱⫍B34⨵⪆⪎⋱⫍-3524=⪎⋱⫍C4","layer":2},{"info":"⪎⋱⫍741⨐⩸⫘⪎⋱⫍1153=NaN","layer":3},{"info":"NaN⊪=NaN","layer":2},{"info":"⪎⋱⫍C4⊴NaN=NaN","layer":1},{"info":"⪝⪂⫅⪎⋱⫍1105=⪎⋱⫍-C2847","layer":3},{"info":"⪎⋱⫍1634⊉≛↸⪎⋱⫍8B1=⪎⋱⫍2C68","layer":3},{"info":"⪎⋱⫍-C2847⩨⪎⋱⫍2C68=⪎⋱⫍3","layer":2},{"info":"⪲⇎⪎⋱⫍3065=⪎⋱⫍60CA","layer":3},{"info":"⊙↵-⪎⋱⫍1AC0=⪎⋱⫍-1","layer":3},{"info":"⪎⋱⫍60CA∲⫓⪎⋱⫍-1=⪎⋱⫍60CA","layer":2},{"info":"⪎⋱⫍3↺⪎⋱⫍60CA=⪎⋱⫍60CA","layer":1},{"info":"NaN⨎⪎⋱⫍60CA=⪎⋱⫍60CA","layer":0}]}
{"id":930,"expression_no_base_symbol":"($1155$⨐⩸⫘$2910$⪨≂(⇁⨣⪵$1533$))⨓(($2194$↪⪝)⋫)⊭∹↮","expression":"(⪎⋱⫍6AB⨐⩸⫘⪎⋱⫍142B⪨≂(⇁⨣⪵⪎⋱⫍90C))⨓((⪎⋱⫍CCA↪⪝)⋫)⊭∹↮","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":721,"operation_count":7,"complexity_ratio":103.0,"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":1155,"base":13},"right_expr":{"type":"numeric_atoms","value":2910,"base":13}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1533,"base":13}}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":2194,"base":13}}}}},"used_operators":["xNBdhnnwKq","3ViojmjbAp","sdazOOVcIp","fu6greOZ01","inkyxCbjAn","JL8yIekQnl","l07mrZUIn9"],"dependent_operators":["2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","B5M0gjZbta","tmPS8pqC7x","9HNa5Wba9A","2DDjHMKMc0"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1155","layer":4},{"info":"number node, value=2910","layer":4},{"info":"compute binary expreesion, left_input=1155, right_input=2910, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=1533","layer":4},{"info":"compute unary expreesion, input=1533, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":2},{"info":"number node, value=2194","layer":4},{"info":"compute unary expreesion, input=2194, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=134233308","layer":3},{"info":"compute unary expreesion, input=134233308, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨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":13,"result_base":13,"text":"(⪎⋱⫍6AB⨐⩸⫘⪎⋱⫍142B⪨≂(⇁⨣⪵⪎⋱⫍90C))⨓((⪎⋱⫍CCA↪⪝)⋫)⊭∹↮=NaN","reverse_text":"NaN=(⪎⋱⫍6AB⨐⩸⫘⪎⋱⫍142B⪨≂(⇁⨣⪵⪎⋱⫍90C))⨓((⪎⋱⫍CCA↪⪝)⋫)⊭∹↮","cot":[{"info":"⪎⋱⫍6AB⨐⩸⫘⪎⋱⫍142B=NaN","layer":3},{"info":"⇁⨣⪵⪎⋱⫍90C=NaN","layer":3},{"info":"NaN⪨≂NaN=NaN","layer":2},{"info":"⪎⋱⫍CCA↪⪝=⪎⋱⫍21A6B5C1","layer":3},{"info":"⪎⋱⫍21A6B5C1⋫=NaN","layer":2},{"info":"NaN⨓NaN=NaN","layer":1},{"info":"NaN⊭∹↮=NaN","layer":0}]}
{"id":931,"expression_no_base_symbol":"(↔($3792$⪒$1471$))⋓($1410$∀⇚≩$1058$⪄($3008$⋷$2453$))%(⇁⨣⪵($5168$/$3159$))∀⇚≩(⨞⊢(∂$1506$))","expression":"(↔(⪎⋱⫍1959⪒⪎⋱⫍892))⋓(⪎⋱⫍846∀⇚≩⪎⋱⫍635⪄(⪎⋱⫍14A5⋷⪎⋱⫍1169))%(⇁⨣⪵(⪎⋱⫍2477/⪎⋱⫍1590))∀⇚≩(⨞⊢(∂⪎⋱⫍8BB))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":9943,"operation_count":12,"complexity_ratio":828.5833333333334,"tree":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":3792,"base":13},"right_expr":{"type":"numeric_atoms","value":1471,"base":13}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1410,"base":13},"right_expr":{"type":"numeric_atoms","value":1058,"base":13}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":3008,"base":13},"right_expr":{"type":"numeric_atoms","value":2453,"base":13}}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":5168,"base":13},"right_expr":{"type":"numeric_atoms","value":3159,"base":13}}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":1506,"base":13}}}}},"used_operators":["k8jYdgA6NY","T2fj7uvVaJ","ruOEQAzv1W","f6k1SAg4EE","SUmda5xLS4","LRNGc0VcxI","23Mk6UjR3U","inkyxCbjAn","XhwjNDsVaA","xUOZtlo3hN","Uaa54Peajs"],"dependent_operators":["rysDP5nf3Z","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3792","layer":4},{"info":"number node, value=1471","layer":4},{"info":"compute binary expreesion, left_input=3792, right_input=1471, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5263","layer":3},{"info":"compute unary expreesion, input=-5263, 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=1410","layer":4},{"info":"number node, value=1058","layer":4},{"info":"compute binary expreesion, left_input=1410, right_input=1058, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=3008","layer":4},{"info":"number node, value=2453","layer":4},{"info":"compute binary expreesion, left_input=3008, right_input=2453, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=1898","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1898, 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=-134, 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":1},{"info":"number node, value=5168","layer":4},{"info":"number node, value=3159","layer":4},{"info":"compute binary expreesion, left_input=5168, right_input=3159, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"compute unary expreesion, input=1, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=0","layer":2},{"info":"number node, value=1506","layer":4},{"info":"compute unary expreesion, input=1506, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=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":"compute binary expreesion, left_input=0, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":0}],"base":13,"result_base":13,"text":"(↔(⪎⋱⫍1959⪒⪎⋱⫍892))⋓(⪎⋱⫍846∀⇚≩⪎⋱⫍635⪄(⪎⋱⫍14A5⋷⪎⋱⫍1169))%(⇁⨣⪵(⪎⋱⫍2477/⪎⋱⫍1590))∀⇚≩(⨞⊢(∂⪎⋱⫍8BB))=NaN","reverse_text":"NaN=(↔(⪎⋱⫍1959⪒⪎⋱⫍892))⋓(⪎⋱⫍846∀⇚≩⪎⋱⫍635⪄(⪎⋱⫍14A5⋷⪎⋱⫍1169))%(⇁⨣⪵(⪎⋱⫍2477/⪎⋱⫍1590))∀⇚≩(⨞⊢(∂⪎⋱⫍8BB))","cot":[{"info":"⪎⋱⫍1959⪒⪎⋱⫍892=⪎⋱⫍-251B","layer":3},{"info":"↔⪎⋱⫍-251B=⪎⋱⫍-A4","layer":2},{"info":"⪎⋱⫍846∀⇚≩⪎⋱⫍635=NaN","layer":3},{"info":"⪎⋱⫍14A5⋷⪎⋱⫍1169=⪎⋱⫍B30","layer":3},{"info":"NaN⪄⪎⋱⫍B30=⪎⋱⫍1A71","layer":2},{"info":"⪎⋱⫍-A4⋓⪎⋱⫍1A71=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍2477/⪎⋱⫍1590=⪎⋱⫍1","layer":3},{"info":"⇁⨣⪵⪎⋱⫍1=⪎⋱⫍0","layer":2},{"info":"∂⪎⋱⫍8BB=NaN","layer":3},{"info":"⨞⊢NaN=NaN","layer":2},{"info":"⪎⋱⫍0∀⇚≩NaN=NaN","layer":1},{"info":"⪎⋱⫍0%NaN=NaN","layer":0}]}
{"id":932,"expression_no_base_symbol":"($3157$⇷$6020$⫡⨏$1745$⩷∴$4758$)⩚⊴⇥(≦∁(≉$2839$))⪨≂$2081$↺$3022$⪄(-$1365$)∲⫓$4418$⨎$3561$⨐⩸⫘$2508$⨽$1043$","expression":"(⪎⋱⫍158B⇷⪎⋱⫍2981⫡⨏⪎⋱⫍A43⩷∴⪎⋱⫍2220)⩚⊴⇥(≦∁(≉⪎⋱⫍13A5))⪨≂⪎⋱⫍C41↺⪎⋱⫍14B6⪄(-⪎⋱⫍810)∲⫓⪎⋱⫍201B⨎⪎⋱⫍180C⨐⩸⫘⪎⋱⫍11AC⨽⪎⋱⫍623","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":46846,"operation_count":14,"complexity_ratio":3346.1428571428573,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":3157,"base":13},"right_expr":{"type":"numeric_atoms","value":6020,"base":13}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1745,"base":13},"right_expr":{"type":"numeric_atoms","value":4758,"base":13}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":2839,"base":13}}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2081,"base":13},"right_expr":{"type":"numeric_atoms","value":3022,"base":13}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1365,"base":13}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":4418,"base":13},"right_expr":{"type":"numeric_atoms","value":3561,"base":13}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2508,"base":13},"right_expr":{"type":"numeric_atoms","value":1043,"base":13}}}}},"used_operators":["sdazOOVcIp","NTOWxs364D","QMFrweE19q","mp7IySMOzn","9FxExcQeMw","9ICcGScMcE","e1ybzncUwg","i8ToyICDmI","SUmda5xLS4","7j4O788W3g","t8gj7n24qd","fu6greOZ01","rJVOvQCfKK","8HhzD0ZcuI"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3157","layer":4},{"info":"number node, value=6020","layer":4},{"info":"compute binary expreesion, left_input=3157, right_input=6020, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=12040","layer":3},{"info":"number node, value=1745","layer":4},{"info":"number node, value=4758","layer":4},{"info":"compute binary expreesion, left_input=1745, right_input=4758, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-6058","layer":3},{"info":"compute binary expreesion, left_input=12040, right_input=-6058, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=48867","layer":2},{"info":"number node, value=2839","layer":4},{"info":"compute unary expreesion, input=2839, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=3370","layer":3},{"info":"compute unary expreesion, input=3370, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=3370","layer":2},{"info":"compute binary expreesion, left_input=48867, right_input=3370, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-52358","layer":1},{"info":"number node, value=2081","layer":4},{"info":"number node, value=3022","layer":4},{"info":"compute binary expreesion, left_input=2081, right_input=3022, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3022","layer":3},{"info":"number node, value=1365","layer":4},{"info":"compute unary expreesion, input=1365, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1365","layer":3},{"info":"compute binary expreesion, left_input=3022, right_input=-1365, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-437885","layer":2},{"info":"number node, value=4418","layer":4},{"info":"number node, value=3561","layer":4},{"info":"compute binary expreesion, left_input=4418, right_input=3561, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3561","layer":3},{"info":"number node, value=2508","layer":4},{"info":"number node, value=1043","layer":4},{"info":"compute binary expreesion, left_input=2508, right_input=1043, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-18872007","layer":3},{"info":"compute binary expreesion, left_input=3561, right_input=-18872007, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=-437885, 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=-52358, 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":13,"result_base":13,"text":"(⪎⋱⫍158B⇷⪎⋱⫍2981⫡⨏⪎⋱⫍A43⩷∴⪎⋱⫍2220)⩚⊴⇥(≦∁(≉⪎⋱⫍13A5))⪨≂⪎⋱⫍C41↺⪎⋱⫍14B6⪄(-⪎⋱⫍810)∲⫓⪎⋱⫍201B⨎⪎⋱⫍180C⨐⩸⫘⪎⋱⫍11AC⨽⪎⋱⫍623=NaN","reverse_text":"NaN=(⪎⋱⫍158B⇷⪎⋱⫍2981⫡⨏⪎⋱⫍A43⩷∴⪎⋱⫍2220)⩚⊴⇥(≦∁(≉⪎⋱⫍13A5))⪨≂⪎⋱⫍C41↺⪎⋱⫍14B6⪄(-⪎⋱⫍810)∲⫓⪎⋱⫍201B⨎⪎⋱⫍180C⨐⩸⫘⪎⋱⫍11AC⨽⪎⋱⫍623","cot":[{"info":"⪎⋱⫍158B⇷⪎⋱⫍2981=⪎⋱⫍5632","layer":3},{"info":"⪎⋱⫍A43⩷∴⪎⋱⫍2220=⪎⋱⫍-29B0","layer":3},{"info":"⪎⋱⫍5632⫡⨏⪎⋱⫍-29B0=⪎⋱⫍19320","layer":2},{"info":"≉⪎⋱⫍13A5=⪎⋱⫍16C3","layer":3},{"info":"≦∁⪎⋱⫍16C3=⪎⋱⫍16C3","layer":2},{"info":"⪎⋱⫍19320⩚⊴⇥⪎⋱⫍16C3=⪎⋱⫍-1AAA7","layer":1},{"info":"⪎⋱⫍C41↺⪎⋱⫍14B6=⪎⋱⫍14B6","layer":3},{"info":"-⪎⋱⫍810=⪎⋱⫍-810","layer":3},{"info":"⪎⋱⫍14B6⪄⪎⋱⫍-810=⪎⋱⫍-124406","layer":2},{"info":"⪎⋱⫍201B⨎⪎⋱⫍180C=⪎⋱⫍180C","layer":3},{"info":"⪎⋱⫍11AC⨽⪎⋱⫍623=⪎⋱⫍-3BA9B8B","layer":3},{"info":"⪎⋱⫍180C⨐⩸⫘⪎⋱⫍-3BA9B8B=NaN","layer":2},{"info":"⪎⋱⫍-124406∲⫓NaN=NaN","layer":1},{"info":"⪎⋱⫍-1AAA7⪨≂NaN=NaN","layer":0}]}
{"id":933,"expression_no_base_symbol":"($2947$⋝⋈⪟$3746$↙$3752$∀⇚≩$1925$)⋓($7522$⩤)⨓($1089$∧)≧⫂∧((($1008$⊠≄⫣)⨵⪆$1162$⨰$1295$)∸)","expression":"(⪎⋱⫍1459⋝⋈⪟⪎⋱⫍1922↙⪎⋱⫍1928∀⇚≩⪎⋱⫍B51)⋓(⪎⋱⫍3568⩤)⨓(⪎⋱⫍65A∧)≧⫂∧(((⪎⋱⫍5C7⊠≄⫣)⨵⪆⪎⋱⫍6B5⨰⪎⋱⫍788)∸)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":26486,"operation_count":12,"complexity_ratio":2207.1666666666665,"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":2947,"base":13},"right_expr":{"type":"numeric_atoms","value":3746,"base":13}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":3752,"base":13},"right_expr":{"type":"numeric_atoms","value":1925,"base":13}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":7522,"base":13}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":1089,"base":13}}}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":1008,"base":13}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1162,"base":13},"right_expr":{"type":"numeric_atoms","value":1295,"base":13}}}}},"used_operators":["Ph9nP6C5qx","T2fj7uvVaJ","yyfyN0ffXY","2DDjHMKMc0","LRNGc0VcxI","3ViojmjbAp","Z2TMIBDE3Q","z63VuFQld9","o20kRiQErp","2DQ55sFlQl","DIvbN7qnHd","eewbuw0ToL"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","tmPS8pqC7x","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍-19A","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2947","layer":4},{"info":"number node, value=3746","layer":4},{"info":"compute binary expreesion, left_input=2947, right_input=3746, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2947","layer":3},{"info":"number node, value=3752","layer":4},{"info":"number node, value=1925","layer":4},{"info":"compute binary expreesion, left_input=3752, right_input=1925, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=2947, 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=7522","layer":4},{"info":"compute unary expreesion, input=7522, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-7522","layer":3},{"info":"number node, value=1089","layer":4},{"info":"compute unary expreesion, input=1089, 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=-7522, 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 = T2fj7uvVaJ 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=1008","layer":4},{"info":"compute unary expreesion, input=1008, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"number node, value=1162","layer":4},{"info":"number node, value=1295","layer":4},{"info":"compute binary expreesion, left_input=1162, right_input=1295, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-123","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-123, 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":"compute binary expreesion, left_input=nan, right_input=177, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-296","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍1459⋝⋈⪟⪎⋱⫍1922↙⪎⋱⫍1928∀⇚≩⪎⋱⫍B51)⋓(⪎⋱⫍3568⩤)⨓(⪎⋱⫍65A∧)≧⫂∧(((⪎⋱⫍5C7⊠≄⫣)⨵⪆⪎⋱⫍6B5⨰⪎⋱⫍788)∸)=⪎⋱⫍-19A","reverse_text":"⪎⋱⫍-19A=(⪎⋱⫍1459⋝⋈⪟⪎⋱⫍1922↙⪎⋱⫍1928∀⇚≩⪎⋱⫍B51)⋓(⪎⋱⫍3568⩤)⨓(⪎⋱⫍65A∧)≧⫂∧(((⪎⋱⫍5C7⊠≄⫣)⨵⪆⪎⋱⫍6B5⨰⪎⋱⫍788)∸)","cot":[{"info":"⪎⋱⫍1459⋝⋈⪟⪎⋱⫍1922=⪎⋱⫍1459","layer":3},{"info":"⪎⋱⫍1928∀⇚≩⪎⋱⫍B51=NaN","layer":3},{"info":"⪎⋱⫍1459↙NaN=NaN","layer":2},{"info":"⪎⋱⫍3568⩤=⪎⋱⫍-3568","layer":3},{"info":"⪎⋱⫍65A∧=NaN","layer":3},{"info":"⪎⋱⫍-3568⨓NaN=NaN","layer":2},{"info":"NaN⋓NaN=NaN","layer":1},{"info":"⪎⋱⫍5C7⊠≄⫣=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍6B5⨰⪎⋱⫍788=⪎⋱⫍-96","layer":3},{"info":"⪎⋱⫍0⨵⪆⪎⋱⫍-96=⪎⋱⫍C4","layer":2},{"info":"⪎⋱⫍C4∸=⪎⋱⫍108","layer":1},{"info":"NaN≧⫂∧⪎⋱⫍108=⪎⋱⫍-19A","layer":0}]}
{"id":934,"expression_no_base_symbol":"(($4454$⋳⪒$3384$)∀⇚≩($1132$≎⊠⪸$5291$)⫥∨⫟(($3393$%$7572$)⪄$1446$↙$3246$))≹⇙⪍((($1273$%$3076$)∀⇚≩(-$4514$))⨟⋌⩍((⨈⫕$1419$)⊠≄⫣))","expression":"((⪎⋱⫍2048⋳⪒⪎⋱⫍1704)∀⇚≩(⪎⋱⫍691≎⊠⪸⪎⋱⫍2540)⫥∨⫟((⪎⋱⫍1710%⪎⋱⫍35A6)⪄⪎⋱⫍873↙⪎⋱⫍1629))≹⇙⪍(((⪎⋱⫍76C%⪎⋱⫍1528)∀⇚≩(-⪎⋱⫍2093))⨟⋌⩍((⨈⫕⪎⋱⫍852)⊠≄⫣))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":49738,"operation_count":14,"complexity_ratio":3552.714285714286,"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":4454,"base":13},"right_expr":{"type":"numeric_atoms","value":3384,"base":13}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1132,"base":13},"right_expr":{"type":"numeric_atoms","value":5291,"base":13}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":3393,"base":13},"right_expr":{"type":"numeric_atoms","value":7572,"base":13}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1446,"base":13},"right_expr":{"type":"numeric_atoms","value":3246,"base":13}}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1273,"base":13},"right_expr":{"type":"numeric_atoms","value":3076,"base":13}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":4514,"base":13}}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":1419,"base":13}}}}},"used_operators":["AHs5Up7iyr","KYD54nUTWz","LRNGc0VcxI","12rbrZMWeM","bJkvcejdHO","SUmda5xLS4","k8jYdgA6NY","yyfyN0ffXY","rGHVDoGpnC","t8gj7n24qd","DIvbN7qnHd","megm06wKyl"],"dependent_operators":["dWAJyo7jo9","8HhzD0ZcuI","rGHVDoGpnC","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","tmPS8pqC7x","DpFCA1CohY","Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4454","layer":4},{"info":"number node, value=3384","layer":4},{"info":"compute binary expreesion, left_input=4454, right_input=3384, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=5237","layer":3},{"info":"number node, value=1132","layer":4},{"info":"number node, value=5291","layer":4},{"info":"compute binary expreesion, left_input=1132, right_input=5291, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=292715","layer":3},{"info":"compute binary expreesion, left_input=5237, right_input=292715, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=3393","layer":4},{"info":"number node, value=7572","layer":4},{"info":"compute binary expreesion, left_input=3393, right_input=7572, op_id = k8jYdgA6NY binary_op_definition= 'None', output=3393","layer":3},{"info":"number node, value=1446","layer":4},{"info":"number node, value=3246","layer":4},{"info":"compute binary expreesion, left_input=1446, right_input=3246, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-9738","layer":3},{"info":"compute binary expreesion, left_input=3393, right_input=-9738, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-459301","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-459301, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=1273","layer":4},{"info":"number node, value=3076","layer":4},{"info":"compute binary expreesion, left_input=1273, right_input=3076, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1273","layer":3},{"info":"number node, value=4514","layer":4},{"info":"compute unary expreesion, input=4514, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-4514","layer":3},{"info":"compute binary expreesion, left_input=1273, right_input=-4514, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=1419","layer":4},{"info":"compute unary expreesion, input=1419, 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 = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":2},{"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":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":13,"result_base":13,"text":"((⪎⋱⫍2048⋳⪒⪎⋱⫍1704)∀⇚≩(⪎⋱⫍691≎⊠⪸⪎⋱⫍2540)⫥∨⫟((⪎⋱⫍1710%⪎⋱⫍35A6)⪄⪎⋱⫍873↙⪎⋱⫍1629))≹⇙⪍(((⪎⋱⫍76C%⪎⋱⫍1528)∀⇚≩(-⪎⋱⫍2093))⨟⋌⩍((⨈⫕⪎⋱⫍852)⊠≄⫣))=NaN","reverse_text":"NaN=((⪎⋱⫍2048⋳⪒⪎⋱⫍1704)∀⇚≩(⪎⋱⫍691≎⊠⪸⪎⋱⫍2540)⫥∨⫟((⪎⋱⫍1710%⪎⋱⫍35A6)⪄⪎⋱⫍873↙⪎⋱⫍1629))≹⇙⪍(((⪎⋱⫍76C%⪎⋱⫍1528)∀⇚≩(-⪎⋱⫍2093))⨟⋌⩍((⨈⫕⪎⋱⫍852)⊠≄⫣))","cot":[{"info":"⪎⋱⫍2048⋳⪒⪎⋱⫍1704=⪎⋱⫍24CB","layer":3},{"info":"⪎⋱⫍691≎⊠⪸⪎⋱⫍2540=⪎⋱⫍A3307","layer":3},{"info":"⪎⋱⫍24CB∀⇚≩⪎⋱⫍A3307=NaN","layer":2},{"info":"⪎⋱⫍1710%⪎⋱⫍35A6=⪎⋱⫍1710","layer":3},{"info":"⪎⋱⫍873↙⪎⋱⫍1629=⪎⋱⫍-4581","layer":3},{"info":"⪎⋱⫍1710⪄⪎⋱⫍-4581=⪎⋱⫍-13109B","layer":2},{"info":"NaN⫥∨⫟⪎⋱⫍-13109B=NaN","layer":1},{"info":"⪎⋱⫍76C%⪎⋱⫍1528=⪎⋱⫍76C","layer":3},{"info":"-⪎⋱⫍2093=⪎⋱⫍-2093","layer":3},{"info":"⪎⋱⫍76C∀⇚≩⪎⋱⫍-2093=NaN","layer":2},{"info":"⨈⫕⪎⋱⫍852=⪎⋱⫍-18","layer":3},{"info":"⪎⋱⫍-18⊠≄⫣=⪎⋱⫍0","layer":2},{"info":"NaN⨟⋌⩍⪎⋱⫍0=NaN","layer":1},{"info":"NaN≹⇙⪍NaN=NaN","layer":0}]}
{"id":935,"expression_no_base_symbol":"((≦∁$1158$)⪒$1041$%$5436$)⪘⫢(($1912$↛⩡⫤)⪒$1183$⋓$4418$)≫≃","expression":"((≦∁⪎⋱⫍6B1)⪒⪎⋱⫍621%⪎⋱⫍2622)⪘⫢((⪎⋱⫍B41↛⩡⫤)⪒⪎⋱⫍700⋓⪎⋱⫍201B)≫≃","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":5907,"operation_count":8,"complexity_ratio":738.375,"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":1158,"base":13}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1041,"base":13},"right_expr":{"type":"numeric_atoms","value":5436,"base":13}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":1912,"base":13}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1183,"base":13},"right_expr":{"type":"numeric_atoms","value":4418,"base":13}}}}},"used_operators":["X99M06cbEe","oacrs7FA3X","f6k1SAg4EE","9ICcGScMcE","k8jYdgA6NY","FU0Cs4j7VP","T2fj7uvVaJ"],"dependent_operators":["2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"⪎⋱⫍83A","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1158","layer":4},{"info":"compute unary expreesion, input=1158, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1158","layer":3},{"info":"number node, value=1041","layer":4},{"info":"number node, value=5436","layer":4},{"info":"compute binary expreesion, left_input=1041, right_input=5436, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1041","layer":3},{"info":"compute binary expreesion, left_input=1158, right_input=1041, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-2199","layer":2},{"info":"number node, value=1912","layer":4},{"info":"compute unary expreesion, input=1912, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-284801","layer":3},{"info":"number node, value=1183","layer":4},{"info":"number node, value=4418","layer":4},{"info":"compute binary expreesion, left_input=1183, right_input=4418, op_id = T2fj7uvVaJ binary_op_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=-284801, right_input=0, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=284801","layer":2},{"info":"compute binary expreesion, left_input=-2199, right_input=284801, 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 = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=1401","layer":0}],"base":13,"result_base":13,"text":"((≦∁⪎⋱⫍6B1)⪒⪎⋱⫍621%⪎⋱⫍2622)⪘⫢((⪎⋱⫍B41↛⩡⫤)⪒⪎⋱⫍700⋓⪎⋱⫍201B)≫≃=⪎⋱⫍83A","reverse_text":"⪎⋱⫍83A=((≦∁⪎⋱⫍6B1)⪒⪎⋱⫍621%⪎⋱⫍2622)⪘⫢((⪎⋱⫍B41↛⩡⫤)⪒⪎⋱⫍700⋓⪎⋱⫍201B)≫≃","cot":[{"info":"≦∁⪎⋱⫍6B1=⪎⋱⫍6B1","layer":3},{"info":"⪎⋱⫍621%⪎⋱⫍2622=⪎⋱⫍621","layer":3},{"info":"⪎⋱⫍6B1⪒⪎⋱⫍621=⪎⋱⫍-1002","layer":2},{"info":"⪎⋱⫍B41↛⩡⫤=⪎⋱⫍-9C82A","layer":3},{"info":"⪎⋱⫍700⋓⪎⋱⫍201B=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍-9C82A⪒⪎⋱⫍0=⪎⋱⫍9C82A","layer":2},{"info":"⪎⋱⫍-1002⪘⫢⪎⋱⫍9C82A=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍0≫≃=⪎⋱⫍83A","layer":0}]}
{"id":936,"expression_no_base_symbol":"((($2700$⨐⩸⫘$4489$)⪠⩆⊳)⪒($3781$⨸⪁$5575$)∀⇚≩($4343$∲⫓$2703$))⨳⩥⨓(($6432$⪮%⊝$2508$⪠⩆⊳)↺(($1273$∧)⪨≂(∥⊫$1183$)))","expression":"(((⪎⋱⫍12C9⨐⩸⫘⪎⋱⫍2074)⪠⩆⊳)⪒(⪎⋱⫍194B⨸⪁⪎⋱⫍26CB)∀⇚≩(⪎⋱⫍1C91∲⫓⪎⋱⫍12CC))⨳⩥⨓((⪎⋱⫍2C0A⪮%⊝⪎⋱⫍11AC⪠⩆⊳)↺((⪎⋱⫍76C∧)⪨≂(∥⊫⪎⋱⫍700)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":131034,"operation_count":13,"complexity_ratio":10079.538461538461,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2700,"base":13},"right_expr":{"type":"numeric_atoms","value":4489,"base":13}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":3781,"base":13},"right_expr":{"type":"numeric_atoms","value":5575,"base":13}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":4343,"base":13},"right_expr":{"type":"numeric_atoms","value":2703,"base":13}}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":6432,"base":13},"right_expr":{"type":"numeric_atoms","value":2508,"base":13}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":1273,"base":13}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":1183,"base":13}}}}},"used_operators":["nCS4ZIUYfx","f6k1SAg4EE","JLbD19bQDL","fu6greOZ01","LRNGc0VcxI","g55IO6H4Gj","i8ToyICDmI","7j4O788W3g","IWmyXbctLI","sdazOOVcIp","z63VuFQld9","P8v4zCKN1o"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","X99M06cbEe","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2700","layer":4},{"info":"number node, value=4489","layer":4},{"info":"compute binary expreesion, left_input=2700, right_input=4489, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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":"number node, value=3781","layer":4},{"info":"number node, value=5575","layer":4},{"info":"compute binary expreesion, left_input=3781, right_input=5575, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=18712","layer":3},{"info":"number node, value=4343","layer":4},{"info":"number node, value=2703","layer":4},{"info":"compute binary expreesion, left_input=4343, right_input=2703, 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=18712, right_input=0, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":1},{"info":"number node, value=6432","layer":4},{"info":"number node, value=2508","layer":4},{"info":"compute binary expreesion, left_input=6432, right_input=2508, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=13180","layer":3},{"info":"compute unary expreesion, input=13180, 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=1273","layer":4},{"info":"compute unary expreesion, input=1273, 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=1183","layer":4},{"info":"compute unary expreesion, input=1183, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2051","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2051, op_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=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":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":13,"result_base":13,"text":"(((⪎⋱⫍12C9⨐⩸⫘⪎⋱⫍2074)⪠⩆⊳)⪒(⪎⋱⫍194B⨸⪁⪎⋱⫍26CB)∀⇚≩(⪎⋱⫍1C91∲⫓⪎⋱⫍12CC))⨳⩥⨓((⪎⋱⫍2C0A⪮%⊝⪎⋱⫍11AC⪠⩆⊳)↺((⪎⋱⫍76C∧)⪨≂(∥⊫⪎⋱⫍700)))=NaN","reverse_text":"NaN=(((⪎⋱⫍12C9⨐⩸⫘⪎⋱⫍2074)⪠⩆⊳)⪒(⪎⋱⫍194B⨸⪁⪎⋱⫍26CB)∀⇚≩(⪎⋱⫍1C91∲⫓⪎⋱⫍12CC))⨳⩥⨓((⪎⋱⫍2C0A⪮%⊝⪎⋱⫍11AC⪠⩆⊳)↺((⪎⋱⫍76C∧)⪨≂(∥⊫⪎⋱⫍700)))","cot":[{"info":"⪎⋱⫍12C9⨐⩸⫘⪎⋱⫍2074=NaN","layer":3},{"info":"NaN⪠⩆⊳=NaN","layer":2},{"info":"⪎⋱⫍194B⨸⪁⪎⋱⫍26CB=⪎⋱⫍8695","layer":3},{"info":"⪎⋱⫍1C91∲⫓⪎⋱⫍12CC=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍8695∀⇚≩⪎⋱⫍0=NaN","layer":2},{"info":"NaN⪒NaN=NaN","layer":1},{"info":"⪎⋱⫍2C0A⪮%⊝⪎⋱⫍11AC=⪎⋱⫍5CCB","layer":3},{"info":"⪎⋱⫍5CCB⪠⩆⊳=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍76C∧=NaN","layer":3},{"info":"∥⊫⪎⋱⫍700=⪎⋱⫍C1A","layer":3},{"info":"NaN⪨≂⪎⋱⫍C1A=NaN","layer":2},{"info":"⪎⋱⫍0↺NaN=NaN","layer":1},{"info":"NaN⨳⩥⨓NaN=NaN","layer":0}]}
{"id":937,"expression_no_base_symbol":"(($1247$⨰$2583$⪨≂($4227$∸))⊘)⋝⋈⪟((($7234$∧)*$1274$⋥≓≎$5576$)⪄($3338$⋫)⇷(∥⊫$5046$))","expression":"((⪎⋱⫍74C⨰⪎⋱⫍1239⪨≂(⪎⋱⫍1C02∸))⊘)⋝⋈⪟(((⪎⋱⫍33A6∧)*⪎⋱⫍770⋥≓≎⪎⋱⫍26CC)⪄(⪎⋱⫍169A⋫)⇷(∥⊫⪎⋱⫍23B2))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":50325,"operation_count":12,"complexity_ratio":4193.75,"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":1247,"base":13},"right_expr":{"type":"numeric_atoms","value":2583,"base":13}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":4227,"base":13}}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":7234,"base":13}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1274,"base":13},"right_expr":{"type":"numeric_atoms","value":5576,"base":13}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":3338,"base":13}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":5046,"base":13}}}}},"used_operators":["2DDjHMKMc0","gu96TGCTMs","sdazOOVcIp","eewbuw0ToL","o20kRiQErp","SUmda5xLS4","9HNa5Wba9A","z63VuFQld9","Qy55tPpLXF","mp7IySMOzn","JL8yIekQnl","P8v4zCKN1o"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","tmPS8pqC7x","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍-1","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1247","layer":4},{"info":"number node, value=2583","layer":4},{"info":"compute binary expreesion, left_input=1247, right_input=2583, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-1326","layer":3},{"info":"number node, value=4227","layer":4},{"info":"compute unary expreesion, input=4227, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"compute binary expreesion, left_input=-1326, right_input=177, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-2904","layer":2},{"info":"compute unary expreesion, input=-2904, 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":"number node, value=7234","layer":4},{"info":"compute unary expreesion, input=7234, 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=1274","layer":4},{"info":"number node, value=5576","layer":4},{"info":"compute binary expreesion, left_input=1274, right_input=5576, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=9911","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=9911, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=3338","layer":4},{"info":"compute unary expreesion, input=3338, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=3338","layer":3},{"info":"number node, value=5046","layer":4},{"info":"compute unary expreesion, input=5046, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=5914","layer":3},{"info":"compute binary expreesion, left_input=3338, right_input=5914, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=11828","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=11828, 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=-1, right_input=3979, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-1","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍74C⨰⪎⋱⫍1239⪨≂(⪎⋱⫍1C02∸))⊘)⋝⋈⪟(((⪎⋱⫍33A6∧)*⪎⋱⫍770⋥≓≎⪎⋱⫍26CC)⪄(⪎⋱⫍169A⋫)⇷(∥⊫⪎⋱⫍23B2))=⪎⋱⫍-1","reverse_text":"⪎⋱⫍-1=((⪎⋱⫍74C⨰⪎⋱⫍1239⪨≂(⪎⋱⫍1C02∸))⊘)⋝⋈⪟(((⪎⋱⫍33A6∧)*⪎⋱⫍770⋥≓≎⪎⋱⫍26CC)⪄(⪎⋱⫍169A⋫)⇷(∥⊫⪎⋱⫍23B2))","cot":[{"info":"⪎⋱⫍74C⨰⪎⋱⫍1239=⪎⋱⫍-7B0","layer":3},{"info":"⪎⋱⫍1C02∸=⪎⋱⫍108","layer":3},{"info":"⪎⋱⫍-7B0⪨≂⪎⋱⫍108=⪎⋱⫍-1425","layer":2},{"info":"⪎⋱⫍-1425⊘=⪎⋱⫍-1","layer":1},{"info":"⪎⋱⫍33A6∧=NaN","layer":3},{"info":"⪎⋱⫍770⋥≓≎⪎⋱⫍26CC=⪎⋱⫍4685","layer":3},{"info":"NaN*⪎⋱⫍4685=NaN","layer":2},{"info":"⪎⋱⫍169A⋫=⪎⋱⫍169A","layer":3},{"info":"∥⊫⪎⋱⫍23B2=⪎⋱⫍28CC","layer":3},{"info":"⪎⋱⫍169A⇷⪎⋱⫍28CC=⪎⋱⫍54CB","layer":2},{"info":"NaN⪄⪎⋱⫍54CB=⪎⋱⫍1A71","layer":1},{"info":"⪎⋱⫍-1⋝⋈⪟⪎⋱⫍1A71=⪎⋱⫍-1","layer":0}]}
{"id":938,"expression_no_base_symbol":"(($1790$↪⪝)↺($1181$⪨≂$1816$))⨟⋌⩍($2516$⨟⋌⩍$2348$⩷∴(↽≂$6203$))⫸⊐(⇁⨣⪵($1584$∲⫓$4913$)⫸⊐(≤/$4863$))","expression":"((⪎⋱⫍A79↪⪝)↺(⪎⋱⫍6CB⪨≂⪎⋱⫍A99))⨟⋌⩍(⪎⋱⫍11B7⨟⋌⩍⪎⋱⫍10B8⩷∴(↽≂⪎⋱⫍2A92))⫸⊐(⇁⨣⪵(⪎⋱⫍94B∲⫓⪎⋱⫍230C)⫸⊐(≤/⪎⋱⫍22A1))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":730,"operation_count":12,"complexity_ratio":60.833333333333336,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":1790,"base":13}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1181,"base":13},"right_expr":{"type":"numeric_atoms","value":1816,"base":13}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2516,"base":13},"right_expr":{"type":"numeric_atoms","value":2348,"base":13}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":6203,"base":13}}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1584,"base":13},"right_expr":{"type":"numeric_atoms","value":4913,"base":13}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":4863,"base":13}}}}},"used_operators":["mqXw5SEYmG","rGHVDoGpnC","7j4O788W3g","l07mrZUIn9","sdazOOVcIp","9FxExcQeMw","u6S6b8DprG","inkyxCbjAn","i8ToyICDmI","eLAdDNolq6"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","2DDjHMKMc0","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1790","layer":4},{"info":"compute unary expreesion, input=1790, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=109515780","layer":3},{"info":"number node, value=1181","layer":4},{"info":"number node, value=1816","layer":4},{"info":"compute binary expreesion, left_input=1181, right_input=1816, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-1168","layer":3},{"info":"compute binary expreesion, left_input=109515780, right_input=-1168, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-1168","layer":2},{"info":"number node, value=2516","layer":4},{"info":"number node, value=2348","layer":4},{"info":"compute binary expreesion, left_input=2516, right_input=2348, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=6203","layer":4},{"info":"compute unary expreesion, input=6203, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-12406","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-12406, 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=-1168, 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=1584","layer":4},{"info":"number node, value=4913","layer":4},{"info":"compute binary expreesion, left_input=1584, right_input=4913, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=4863","layer":4},{"info":"compute unary expreesion, input=4863, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-4379","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-4379, 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 = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', 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":13,"result_base":13,"text":"((⪎⋱⫍A79↪⪝)↺(⪎⋱⫍6CB⪨≂⪎⋱⫍A99))⨟⋌⩍(⪎⋱⫍11B7⨟⋌⩍⪎⋱⫍10B8⩷∴(↽≂⪎⋱⫍2A92))⫸⊐(⇁⨣⪵(⪎⋱⫍94B∲⫓⪎⋱⫍230C)⫸⊐(≤/⪎⋱⫍22A1))=NaN","reverse_text":"NaN=((⪎⋱⫍A79↪⪝)↺(⪎⋱⫍6CB⪨≂⪎⋱⫍A99))⨟⋌⩍(⪎⋱⫍11B7⨟⋌⩍⪎⋱⫍10B8⩷∴(↽≂⪎⋱⫍2A92))⫸⊐(⇁⨣⪵(⪎⋱⫍94B∲⫓⪎⋱⫍230C)⫸⊐(≤/⪎⋱⫍22A1))","cot":[{"info":"⪎⋱⫍A79↪⪝=⪎⋱⫍198C5B4A","layer":3},{"info":"⪎⋱⫍6CB⪨≂⪎⋱⫍A99=⪎⋱⫍-6BB","layer":3},{"info":"⪎⋱⫍198C5B4A↺⪎⋱⫍-6BB=⪎⋱⫍-6BB","layer":2},{"info":"⪎⋱⫍11B7⨟⋌⩍⪎⋱⫍10B8=NaN","layer":3},{"info":"↽≂⪎⋱⫍2A92=⪎⋱⫍-5854","layer":3},{"info":"NaN⩷∴⪎⋱⫍-5854=NaN","layer":2},{"info":"⪎⋱⫍-6BB⨟⋌⩍NaN=NaN","layer":1},{"info":"⪎⋱⫍94B∲⫓⪎⋱⫍230C=⪎⋱⫍0","layer":3},{"info":"≤/⪎⋱⫍22A1=⪎⋱⫍-1CBB","layer":3},{"info":"⪎⋱⫍0⫸⊐⪎⋱⫍-1CBB=⪎⋱⫍0","layer":2},{"info":"⇁⨣⪵⪎⋱⫍0=⪎⋱⫍0","layer":1},{"info":"NaN⫸⊐⪎⋱⫍0=NaN","layer":0}]}
{"id":939,"expression_no_base_symbol":"($6588$⋝⋈⪟$2129$⨽(⫓⪴$5067$))⨐⩸⫘($6927$∑⇟⊟$1313$⪨≂$3519$⨪↰⇹$1219$)*((≉$5040$)⨽$1319$∀⇚≩$3517$⪨≂($1187$⩨$2580$)+⇶⊼(⨑⩽⪐$1024$))","expression":"(⪎⋱⫍2CCA⋝⋈⪟⪎⋱⫍C7A⨽(⫓⪴⪎⋱⫍23CA))⨐⩸⫘(⪎⋱⫍31CB∑⇟⊟⪎⋱⫍7A0⪨≂⪎⋱⫍17A9⨪↰⇹⪎⋱⫍72A)*((≉⪎⋱⫍23A9)⨽⪎⋱⫍7A6∀⇚≩⪎⋱⫍17A7⪨≂(⪎⋱⫍704⩨⪎⋱⫍1236)+⇶⊼(⨑⩽⪐⪎⋱⫍60A))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":30024,"operation_count":15,"complexity_ratio":2001.6,"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":6588,"base":13},"right_expr":{"type":"numeric_atoms","value":2129,"base":13}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":5067,"base":13}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":6927,"base":13},"right_expr":{"type":"numeric_atoms","value":1313,"base":13}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":3519,"base":13},"right_expr":{"type":"numeric_atoms","value":1219,"base":13}}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":5040,"base":13}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1319,"base":13},"right_expr":{"type":"numeric_atoms","value":3517,"base":13}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1187,"base":13},"right_expr":{"type":"numeric_atoms","value":2580,"base":13}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":1024,"base":13}}}}},"used_operators":["9HNa5Wba9A","fu6greOZ01","8HhzD0ZcuI","2DDjHMKMc0","eLxqMNBOBk","sdazOOVcIp","U7g4x0WXJJ","tmPS8pqC7x","e1ybzncUwg","LRNGc0VcxI","TpPTUOHfaN","2DlMacCsIx","AF7qkfDlqP"],"dependent_operators":["W4YGzv6Whe","3ViojmjbAp","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","AHs5Up7iyr","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=6588","layer":4},{"info":"number node, value=2129","layer":4},{"info":"compute binary expreesion, left_input=6588, right_input=2129, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=6588","layer":3},{"info":"number node, value=5067","layer":4},{"info":"compute unary expreesion, input=5067, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=25674489","layer":3},{"info":"compute binary expreesion, left_input=6588, right_input=25674489, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-207227385","layer":2},{"info":"number node, value=6927","layer":4},{"info":"number node, value=1313","layer":4},{"info":"compute binary expreesion, left_input=6927, right_input=1313, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=3519","layer":4},{"info":"number node, value=1219","layer":4},{"info":"compute binary expreesion, left_input=3519, right_input=1219, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=3519","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3519, op_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=-207227385, right_input=nan, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"number node, value=5040","layer":4},{"info":"compute unary expreesion, input=5040, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=5571","layer":3},{"info":"number node, value=1319","layer":4},{"info":"number node, value=3517","layer":4},{"info":"compute binary expreesion, left_input=1319, right_input=3517, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=5571, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":2},{"info":"number node, value=1187","layer":4},{"info":"number node, value=2580","layer":4},{"info":"compute binary expreesion, left_input=1187, right_input=2580, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-6","layer":3},{"info":"number node, value=1024","layer":4},{"info":"compute unary expreesion, input=1024, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-751","layer":3},{"info":"compute binary expreesion, left_input=-6, right_input=-751, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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 = 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 = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍2CCA⋝⋈⪟⪎⋱⫍C7A⨽(⫓⪴⪎⋱⫍23CA))⨐⩸⫘(⪎⋱⫍31CB∑⇟⊟⪎⋱⫍7A0⪨≂⪎⋱⫍17A9⨪↰⇹⪎⋱⫍72A)*((≉⪎⋱⫍23A9)⨽⪎⋱⫍7A6∀⇚≩⪎⋱⫍17A7⪨≂(⪎⋱⫍704⩨⪎⋱⫍1236)+⇶⊼(⨑⩽⪐⪎⋱⫍60A))=NaN","reverse_text":"NaN=(⪎⋱⫍2CCA⋝⋈⪟⪎⋱⫍C7A⨽(⫓⪴⪎⋱⫍23CA))⨐⩸⫘(⪎⋱⫍31CB∑⇟⊟⪎⋱⫍7A0⪨≂⪎⋱⫍17A9⨪↰⇹⪎⋱⫍72A)*((≉⪎⋱⫍23A9)⨽⪎⋱⫍7A6∀⇚≩⪎⋱⫍17A7⪨≂(⪎⋱⫍704⩨⪎⋱⫍1236)+⇶⊼(⨑⩽⪐⪎⋱⫍60A))","cot":[{"info":"⪎⋱⫍2CCA⋝⋈⪟⪎⋱⫍C7A=⪎⋱⫍2CCA","layer":3},{"info":"⫓⪴⪎⋱⫍23CA=⪎⋱⫍541C209","layer":3},{"info":"⪎⋱⫍2CCA⨽⪎⋱⫍541C209=⪎⋱⫍-33C17B71","layer":2},{"info":"⪎⋱⫍31CB∑⇟⊟⪎⋱⫍7A0=NaN","layer":3},{"info":"⪎⋱⫍17A9⨪↰⇹⪎⋱⫍72A=⪎⋱⫍17A9","layer":3},{"info":"NaN⪨≂⪎⋱⫍17A9=NaN","layer":2},{"info":"⪎⋱⫍-33C17B71⨐⩸⫘NaN=NaN","layer":1},{"info":"≉⪎⋱⫍23A9=⪎⋱⫍26C7","layer":3},{"info":"⪎⋱⫍7A6∀⇚≩⪎⋱⫍17A7=NaN","layer":3},{"info":"⪎⋱⫍26C7⨽NaN=NaN","layer":2},{"info":"⪎⋱⫍704⩨⪎⋱⫍1236=⪎⋱⫍-6","layer":3},{"info":"⨑⩽⪐⪎⋱⫍60A=⪎⋱⫍-45A","layer":3},{"info":"⪎⋱⫍-6+⇶⊼⪎⋱⫍-45A=NaN","layer":2},{"info":"NaN⪨≂NaN=NaN","layer":1},{"info":"NaN*NaN=NaN","layer":0}]}
{"id":940,"expression_no_base_symbol":"(↔((⪝⪂⫅$7423$)%$8011$⪛$1832$))⫥∨⫟($1568$⪢$1403$⨳⩥⨓$5271$∑⇟⊟$3983$)⨪↰⇹(($1449$*$1767$)⩚⊴⇥(∥⊫$1427$))","expression":"(↔((⪝⪂⫅⪎⋱⫍34C0)%⪎⋱⫍3853⪛⪎⋱⫍AAC))⫥∨⫟(⪎⋱⫍938⪢⪎⋱⫍83C⨳⩥⨓⪎⋱⫍2526∑⇟⊟⪎⋱⫍1A75)⨪↰⇹((⪎⋱⫍876*⪎⋱⫍A5C)⩚⊴⇥(∥⊫⪎⋱⫍85A))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":4935,"operation_count":12,"complexity_ratio":411.25,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":7423,"base":13}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":8011,"base":13},"right_expr":{"type":"numeric_atoms","value":1832,"base":13}}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1568,"base":13},"right_expr":{"type":"numeric_atoms","value":1403,"base":13}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":5271,"base":13},"right_expr":{"type":"numeric_atoms","value":3983,"base":13}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1449,"base":13},"right_expr":{"type":"numeric_atoms","value":1767,"base":13}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":1427,"base":13}}}}},"used_operators":["KYD54nUTWz","ruOEQAzv1W","k8jYdgA6NY","XTarYq4gQB","uFcxV4UQCh","tmPS8pqC7x","nCS4ZIUYfx","dWAJyo7jo9","U7g4x0WXJJ","NTOWxs364D","9HNa5Wba9A","P8v4zCKN1o"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","9HNa5Wba9A","8w2t5hMYqp","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rJVOvQCfKK","W4YGzv6Whe","rysDP5nf3Z","k8jYdgA6NY","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=7423","layer":4},{"info":"compute unary expreesion, input=7423, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-1091181","layer":3},{"info":"number node, value=8011","layer":4},{"info":"number node, value=1832","layer":4},{"info":"compute binary expreesion, left_input=8011, right_input=1832, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=683","layer":3},{"info":"compute binary expreesion, left_input=-1091181, right_input=683, op_id = k8jYdgA6NY binary_op_definition= 'None', output=253","layer":2},{"info":"compute unary expreesion, input=253, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=20","layer":1},{"info":"number node, value=1568","layer":4},{"info":"number node, value=1403","layer":4},{"info":"compute binary expreesion, left_input=1568, right_input=1403, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=5271","layer":4},{"info":"number node, value=3983","layer":4},{"info":"compute binary expreesion, left_input=5271, right_input=3983, 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":"number node, value=1449","layer":4},{"info":"number node, value=1767","layer":4},{"info":"compute binary expreesion, left_input=1449, right_input=1767, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=2560383","layer":3},{"info":"number node, value=1427","layer":4},{"info":"compute unary expreesion, input=1427, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2295","layer":3},{"info":"compute binary expreesion, left_input=2560383, right_input=2295, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-2562799","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-2562799, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((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=20, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(↔((⪝⪂⫅⪎⋱⫍34C0)%⪎⋱⫍3853⪛⪎⋱⫍AAC))⫥∨⫟(⪎⋱⫍938⪢⪎⋱⫍83C⨳⩥⨓⪎⋱⫍2526∑⇟⊟⪎⋱⫍1A75)⨪↰⇹((⪎⋱⫍876*⪎⋱⫍A5C)⩚⊴⇥(∥⊫⪎⋱⫍85A))=NaN","reverse_text":"NaN=(↔((⪝⪂⫅⪎⋱⫍34C0)%⪎⋱⫍3853⪛⪎⋱⫍AAC))⫥∨⫟(⪎⋱⫍938⪢⪎⋱⫍83C⨳⩥⨓⪎⋱⫍2526∑⇟⊟⪎⋱⫍1A75)⨪↰⇹((⪎⋱⫍876*⪎⋱⫍A5C)⩚⊴⇥(∥⊫⪎⋱⫍85A))","cot":[{"info":"⪝⪂⫅⪎⋱⫍34C0=⪎⋱⫍-2C2890","layer":3},{"info":"⪎⋱⫍3853⪛⪎⋱⫍AAC=⪎⋱⫍407","layer":3},{"info":"⪎⋱⫍-2C2890%⪎⋱⫍407=⪎⋱⫍166","layer":2},{"info":"↔⪎⋱⫍166=⪎⋱⫍17","layer":1},{"info":"⪎⋱⫍938⪢⪎⋱⫍83C=NaN","layer":3},{"info":"⪎⋱⫍2526∑⇟⊟⪎⋱⫍1A75=NaN","layer":3},{"info":"NaN⨳⩥⨓NaN=NaN","layer":2},{"info":"⪎⋱⫍876*⪎⋱⫍A5C=⪎⋱⫍6B8527","layer":3},{"info":"∥⊫⪎⋱⫍85A=⪎⋱⫍1077","layer":3},{"info":"⪎⋱⫍6B8527⩚⊴⇥⪎⋱⫍1077=⪎⋱⫍-6B9665","layer":2},{"info":"NaN⨪↰⇹⪎⋱⫍-6B9665=NaN","layer":1},{"info":"⪎⋱⫍17⫥∨⫟NaN=NaN","layer":0}]}
{"id":941,"expression_no_base_symbol":"(($1560$⫩⊇)⊘)⇼⇔∾(⨈⫕$1016$⋳⪒$6606$)⋷($1773$≹⇙⪍$3188$⨪↰⇹($5465$≋⫹)⇋≉)","expression":"((⪎⋱⫍930⫩⊇)⊘)⇼⇔∾(⨈⫕⪎⋱⫍602⋳⪒⪎⋱⫍3012)⋷(⪎⋱⫍A65≹⇙⪍⪎⋱⫍15B3⨪↰⇹(⪎⋱⫍2645≋⫹)⇋≉)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":428,"operation_count":10,"complexity_ratio":42.8,"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":1560,"base":13}}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1016,"base":13},"right_expr":{"type":"numeric_atoms","value":6606,"base":13}}}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1773,"base":13},"right_expr":{"type":"numeric_atoms","value":3188,"base":13}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":5465,"base":13}}}}},"used_operators":["23Mk6UjR3U","tifHPKVTfV","gu96TGCTMs","BjRHVeLaeN","megm06wKyl","12rbrZMWeM","XIabStNQrY","tmPS8pqC7x","AHs5Up7iyr","N41Kp7NANJ"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rysDP5nf3Z","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍31","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1560","layer":4},{"info":"compute unary expreesion, input=1560, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-1518","layer":3},{"info":"compute unary expreesion, input=-1518, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=-1","layer":2},{"info":"number node, value=1016","layer":4},{"info":"number node, value=6606","layer":4},{"info":"compute binary expreesion, left_input=1016, right_input=6606, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-4861","layer":3},{"info":"compute unary expreesion, input=-4861, 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=-1, right_input=-21, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-20","layer":1},{"info":"number node, value=1773","layer":4},{"info":"number node, value=3188","layer":4},{"info":"compute binary expreesion, left_input=1773, right_input=3188, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=5465","layer":4},{"info":"compute unary expreesion, input=5465, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-10930","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-10930, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((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 = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-20, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=40","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍930⫩⊇)⊘)⇼⇔∾(⨈⫕⪎⋱⫍602⋳⪒⪎⋱⫍3012)⋷(⪎⋱⫍A65≹⇙⪍⪎⋱⫍15B3⨪↰⇹(⪎⋱⫍2645≋⫹)⇋≉)=⪎⋱⫍31","reverse_text":"⪎⋱⫍31=((⪎⋱⫍930⫩⊇)⊘)⇼⇔∾(⨈⫕⪎⋱⫍602⋳⪒⪎⋱⫍3012)⋷(⪎⋱⫍A65≹⇙⪍⪎⋱⫍15B3⨪↰⇹(⪎⋱⫍2645≋⫹)⇋≉)","cot":[{"info":"⪎⋱⫍930⫩⊇=⪎⋱⫍-8CA","layer":3},{"info":"⪎⋱⫍-8CA⊘=⪎⋱⫍-1","layer":2},{"info":"⪎⋱⫍602⋳⪒⪎⋱⫍3012=⪎⋱⫍-229C","layer":3},{"info":"⨈⫕⪎⋱⫍-229C=⪎⋱⫍-18","layer":2},{"info":"⪎⋱⫍-1⇼⇔∾⪎⋱⫍-18=⪎⋱⫍-17","layer":1},{"info":"⪎⋱⫍A65≹⇙⪍⪎⋱⫍15B3=NaN","layer":3},{"info":"⪎⋱⫍2645≋⫹=⪎⋱⫍-4C8A","layer":3},{"info":"NaN⨪↰⇹⪎⋱⫍-4C8A=NaN","layer":2},{"info":"NaN⇋≉=NaN","layer":1},{"info":"⪎⋱⫍-17⋷NaN=⪎⋱⫍31","layer":0}]}
{"id":942,"expression_no_base_symbol":"$2137$∑⇟⊟$3090$⨵⪆(⋗⩬⋾$1830$)⋷(⫓⪴($2810$⋳⪒$1814$))⋷(($2009$∸)≫≃)⨽((⪝⪂⫅$1829$)≣⋋)","expression":"⪎⋱⫍C85∑⇟⊟⪎⋱⫍1539⨵⪆(⋗⩬⋾⪎⋱⫍AAA)⋷(⫓⪴(⪎⋱⫍1382⋳⪒⪎⋱⫍A97))⋷((⪎⋱⫍BB7∸)≫≃)⨽((⪝⪂⫅⪎⋱⫍AA9)≣⋋)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":6147,"operation_count":12,"complexity_ratio":512.25,"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":2137,"base":13},"right_expr":{"type":"numeric_atoms","value":3090,"base":13}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1830,"base":13}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2810,"base":13},"right_expr":{"type":"numeric_atoms","value":1814,"base":13}}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":2009,"base":13}}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":1829,"base":13}}}}},"used_operators":["23Mk6UjR3U","2DQ55sFlQl","U7g4x0WXJJ","DpFCA1CohY","eLxqMNBOBk","12rbrZMWeM","8HhzD0ZcuI","X99M06cbEe","o20kRiQErp","Tcnh7f0tEr","XTarYq4gQB"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","tmPS8pqC7x","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","9HNa5Wba9A","8w2t5hMYqp"],"result":"⪎⋱⫍3A3","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2137","layer":4},{"info":"number node, value=3090","layer":4},{"info":"compute binary expreesion, left_input=2137, right_input=3090, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"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":"compute binary expreesion, left_input=nan, right_input=-5490, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=2810","layer":4},{"info":"number node, value=1814","layer":4},{"info":"compute binary expreesion, left_input=2810, right_input=1814, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=3519","layer":3},{"info":"compute unary expreesion, input=3519, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=12383361","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=12383361, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-320","layer":1},{"info":"number node, value=2009","layer":4},{"info":"compute unary expreesion, input=2009, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"compute unary expreesion, input=177, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=1755","layer":2},{"info":"number node, value=1829","layer":4},{"info":"compute unary expreesion, input=1829, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-268863","layer":3},{"info":"compute unary expreesion, input=-268863, 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=1755, right_input=0, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-9238761","layer":1},{"info":"compute binary expreesion, left_input=-320, right_input=-9238761, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=640","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍C85∑⇟⊟⪎⋱⫍1539⨵⪆(⋗⩬⋾⪎⋱⫍AAA)⋷(⫓⪴(⪎⋱⫍1382⋳⪒⪎⋱⫍A97))⋷((⪎⋱⫍BB7∸)≫≃)⨽((⪝⪂⫅⪎⋱⫍AA9)≣⋋)=⪎⋱⫍3A3","reverse_text":"⪎⋱⫍3A3=⪎⋱⫍C85∑⇟⊟⪎⋱⫍1539⨵⪆(⋗⩬⋾⪎⋱⫍AAA)⋷(⫓⪴(⪎⋱⫍1382⋳⪒⪎⋱⫍A97))⋷((⪎⋱⫍BB7∸)≫≃)⨽((⪝⪂⫅⪎⋱⫍AA9)≣⋋)","cot":[{"info":"⪎⋱⫍C85∑⇟⊟⪎⋱⫍1539=NaN","layer":3},{"info":"⋗⩬⋾⪎⋱⫍AAA=⪎⋱⫍-2664","layer":3},{"info":"NaN⨵⪆⪎⋱⫍-2664=⪎⋱⫍C4","layer":2},{"info":"⪎⋱⫍1382⋳⪒⪎⋱⫍A97=⪎⋱⫍17A9","layer":3},{"info":"⫓⪴⪎⋱⫍17A9=⪎⋱⫍2747643","layer":2},{"info":"⪎⋱⫍C4⋷⪎⋱⫍2747643=⪎⋱⫍-1B8","layer":1},{"info":"⪎⋱⫍BB7∸=⪎⋱⫍108","layer":3},{"info":"⪎⋱⫍108≫≃=⪎⋱⫍A50","layer":2},{"info":"⪝⪂⫅⪎⋱⫍AA9=⪎⋱⫍-954BA","layer":3},{"info":"⪎⋱⫍-954BA≣⋋=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍A50⨽⪎⋱⫍0=⪎⋱⫍-1BB622C","layer":1},{"info":"⪎⋱⫍-1B8⋷⪎⋱⫍-1BB622C=⪎⋱⫍3A3","layer":0}]}
{"id":943,"expression_no_base_symbol":"⇁⨣⪵(($5886$⨐⩸⫘$1144$)⨟⋌⩍($3440$⋳⪒$1134$)⊪)","expression":"⇁⨣⪵((⪎⋱⫍28AA⨐⩸⫘⪎⋱⫍6A0)⨟⋌⩍(⪎⋱⫍1748⋳⪒⪎⋱⫍693)⊪)","highest_n_order":5,"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":5886,"base":13},"right_expr":{"type":"numeric_atoms","value":1144,"base":13}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":3440,"base":13},"right_expr":{"type":"numeric_atoms","value":1134,"base":13}}}}},"used_operators":["inkyxCbjAn","zVYPLywUTj","rGHVDoGpnC","fu6greOZ01","12rbrZMWeM"],"dependent_operators":["B5M0gjZbta","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","Tcnh7f0tEr","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=5886","layer":4},{"info":"number node, value=1144","layer":4},{"info":"compute binary expreesion, left_input=5886, right_input=1144, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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=3440","layer":4},{"info":"number node, value=1134","layer":4},{"info":"compute binary expreesion, left_input=3440, right_input=1134, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=5459","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5459, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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 = 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 = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⇁⨣⪵((⪎⋱⫍28AA⨐⩸⫘⪎⋱⫍6A0)⨟⋌⩍(⪎⋱⫍1748⋳⪒⪎⋱⫍693)⊪)=NaN","reverse_text":"NaN=⇁⨣⪵((⪎⋱⫍28AA⨐⩸⫘⪎⋱⫍6A0)⨟⋌⩍(⪎⋱⫍1748⋳⪒⪎⋱⫍693)⊪)","cot":[{"info":"⪎⋱⫍28AA⨐⩸⫘⪎⋱⫍6A0=NaN","layer":3},{"info":"⪎⋱⫍1748⋳⪒⪎⋱⫍693=⪎⋱⫍263C","layer":3},{"info":"NaN⨟⋌⩍⪎⋱⫍263C=NaN","layer":2},{"info":"NaN⊪=NaN","layer":1},{"info":"⇁⨣⪵NaN=NaN","layer":0}]}
{"id":944,"expression_no_base_symbol":"(⊄⩳↩(⨰⫟⨤$8459$))⇼⇔∾($1979$⋳⪒$1543$*$1645$∑⇟⊟$3256$)⨸⪁((⊥$1143$)⨐⩸⫘($3088$⪄$8438$))⪮%⊝($1164$≧⫂∧$4222$⋳⪒($3362$+$1116$))","expression":"(⊄⩳↩(⨰⫟⨤⪎⋱⫍3B09))⇼⇔∾(⪎⋱⫍B93⋳⪒⪎⋱⫍919*⪎⋱⫍997∑⇟⊟⪎⋱⫍1636)⨸⪁((⊥⪎⋱⫍69C)⨐⩸⫘(⪎⋱⫍1537⪄⪎⋱⫍3AC1))⪮%⊝(⪎⋱⫍6B7≧⫂∧⪎⋱⫍1BCA⋳⪒(⪎⋱⫍16B8+⪎⋱⫍67B))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":33128,"operation_count":14,"complexity_ratio":2366.285714285714,"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":8459,"base":13}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1979,"base":13},"right_expr":{"type":"numeric_atoms","value":1543,"base":13}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1645,"base":13},"right_expr":{"type":"numeric_atoms","value":3256,"base":13}}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":1143,"base":13}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":3088,"base":13},"right_expr":{"type":"numeric_atoms","value":8438,"base":13}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1164,"base":13},"right_expr":{"type":"numeric_atoms","value":4222,"base":13}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":3362,"base":13},"right_expr":{"type":"numeric_atoms","value":1116,"base":13}}}}},"used_operators":["g55IO6H4Gj","tifHPKVTfV","8w2t5hMYqp","Tw270M8GLb","9HNa5Wba9A","12rbrZMWeM","U7g4x0WXJJ","IWmyXbctLI","fu6greOZ01","Q3PJZHRvZv","SUmda5xLS4","Ph9nP6C5qx","W4YGzv6Whe"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","3ViojmjbAp","fu6greOZ01","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=8459","layer":4},{"info":"compute unary expreesion, input=8459, 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=1979","layer":4},{"info":"number node, value=1543","layer":4},{"info":"compute binary expreesion, left_input=1979, right_input=1543, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=2128","layer":3},{"info":"number node, value=1645","layer":4},{"info":"number node, value=3256","layer":4},{"info":"compute binary expreesion, left_input=1645, right_input=3256, 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=2128, 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 = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":1},{"info":"number node, value=1143","layer":4},{"info":"compute unary expreesion, input=1143, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=3088","layer":4},{"info":"number node, value=8438","layer":4},{"info":"compute binary expreesion, left_input=3088, right_input=8438, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-486865","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-486865, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=1164","layer":4},{"info":"number node, value=4222","layer":4},{"info":"compute binary expreesion, left_input=1164, right_input=4222, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=3749","layer":3},{"info":"number node, value=3362","layer":4},{"info":"number node, value=1116","layer":4},{"info":"compute binary expreesion, left_input=3362, right_input=1116, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4478","layer":3},{"info":"compute binary expreesion, left_input=3749, right_input=4478, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=2733","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=2733, 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 = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⊄⩳↩(⨰⫟⨤⪎⋱⫍3B09))⇼⇔∾(⪎⋱⫍B93⋳⪒⪎⋱⫍919*⪎⋱⫍997∑⇟⊟⪎⋱⫍1636)⨸⪁((⊥⪎⋱⫍69C)⨐⩸⫘(⪎⋱⫍1537⪄⪎⋱⫍3AC1))⪮%⊝(⪎⋱⫍6B7≧⫂∧⪎⋱⫍1BCA⋳⪒(⪎⋱⫍16B8+⪎⋱⫍67B))=NaN","reverse_text":"NaN=(⊄⩳↩(⨰⫟⨤⪎⋱⫍3B09))⇼⇔∾(⪎⋱⫍B93⋳⪒⪎⋱⫍919*⪎⋱⫍997∑⇟⊟⪎⋱⫍1636)⨸⪁((⊥⪎⋱⫍69C)⨐⩸⫘(⪎⋱⫍1537⪄⪎⋱⫍3AC1))⪮%⊝(⪎⋱⫍6B7≧⫂∧⪎⋱⫍1BCA⋳⪒(⪎⋱⫍16B8+⪎⋱⫍67B))","cot":[{"info":"⨰⫟⨤⪎⋱⫍3B09=NaN","layer":3},{"info":"⊄⩳↩NaN=NaN","layer":2},{"info":"⪎⋱⫍B93⋳⪒⪎⋱⫍919=⪎⋱⫍C79","layer":3},{"info":"⪎⋱⫍997∑⇟⊟⪎⋱⫍1636=NaN","layer":3},{"info":"⪎⋱⫍C79*NaN=NaN","layer":2},{"info":"NaN⇼⇔∾NaN=NaN","layer":1},{"info":"⊥⪎⋱⫍69C=NaN","layer":3},{"info":"⪎⋱⫍1537⪄⪎⋱⫍3AC1=⪎⋱⫍-1407B2","layer":3},{"info":"NaN⨐⩸⫘⪎⋱⫍-1407B2=NaN","layer":2},{"info":"⪎⋱⫍6B7≧⫂∧⪎⋱⫍1BCA=⪎⋱⫍1925","layer":3},{"info":"⪎⋱⫍16B8+⪎⋱⫍67B=⪎⋱⫍2066","layer":3},{"info":"⪎⋱⫍1925⋳⪒⪎⋱⫍2066=⪎⋱⫍1323","layer":2},{"info":"NaN⪮%⊝⪎⋱⫍1323=NaN","layer":1},{"info":"NaN⨸⪁NaN=NaN","layer":0}]}
{"id":945,"expression_no_base_symbol":"⊥((($2685$⋷$1175$)∲⫓(↣≠⋷$5931$))⇷(⨞⊢($3253$⩨$2050$)))","expression":"⊥(((⪎⋱⫍12B7⋷⪎⋱⫍6C5)∲⫓(↣≠⋷⪎⋱⫍2913))⇷(⨞⊢(⪎⋱⫍1633⩨⪎⋱⫍C19)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":24,"operation_count":7,"complexity_ratio":3.4285714285714284,"tree":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":2685,"base":13},"right_expr":{"type":"numeric_atoms","value":1175,"base":13}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":5931,"base":13}}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":3253,"base":13},"right_expr":{"type":"numeric_atoms","value":2050,"base":13}}}}},"used_operators":["Q3PJZHRvZv","mp7IySMOzn","i8ToyICDmI","23Mk6UjR3U","Asc51vEJeQ","xUOZtlo3hN","2DlMacCsIx"],"dependent_operators":["fu6greOZ01","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2685","layer":4},{"info":"number node, value=1175","layer":4},{"info":"compute binary expreesion, left_input=2685, right_input=1175, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-335","layer":3},{"info":"number node, value=5931","layer":4},{"info":"compute unary expreesion, input=5931, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-335, 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=3253","layer":4},{"info":"number node, value=2050","layer":4},{"info":"compute binary expreesion, left_input=3253, 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 = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-174","layer":2},{"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":1},{"info":"compute unary expreesion, input=nan, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⊥(((⪎⋱⫍12B7⋷⪎⋱⫍6C5)∲⫓(↣≠⋷⪎⋱⫍2913))⇷(⨞⊢(⪎⋱⫍1633⩨⪎⋱⫍C19)))=NaN","reverse_text":"NaN=⊥(((⪎⋱⫍12B7⋷⪎⋱⫍6C5)∲⫓(↣≠⋷⪎⋱⫍2913))⇷(⨞⊢(⪎⋱⫍1633⩨⪎⋱⫍C19)))","cot":[{"info":"⪎⋱⫍12B7⋷⪎⋱⫍6C5=⪎⋱⫍-1CA","layer":3},{"info":"↣≠⋷⪎⋱⫍2913=NaN","layer":3},{"info":"⪎⋱⫍-1CA∲⫓NaN=NaN","layer":2},{"info":"⪎⋱⫍1633⩨⪎⋱⫍C19=⪎⋱⫍0","layer":3},{"info":"⨞⊢⪎⋱⫍0=⪎⋱⫍-105","layer":2},{"info":"NaN⇷⪎⋱⫍-105=NaN","layer":1},{"info":"⊥NaN=NaN","layer":0}]}
{"id":946,"expression_no_base_symbol":"(($1953$⩨$2749$)⫥∨⫟(≦∁$1310$)⪒$1184$⊉≛↸$1352$⩨($2751$⨸⪁$1241$))⫸⊐((∥⊫$6536$)+⇶⊼($1521$⩨$1997$))⩷∴(($1042$∲⫓$3219$)⫥∨⫟($4476$↺$3614$))","expression":"((⪎⋱⫍B73⩨⪎⋱⫍1336)⫥∨⫟(≦∁⪎⋱⫍79A)⪒⪎⋱⫍701⊉≛↸⪎⋱⫍800⩨(⪎⋱⫍1338⨸⪁⪎⋱⫍746))⫸⊐((∥⊫⪎⋱⫍2C8A)+⇶⊼(⪎⋱⫍900⩨⪎⋱⫍BA8))⩷∴((⪎⋱⫍622∲⫓⪎⋱⫍1608)⫥∨⫟(⪎⋱⫍2064↺⪎⋱⫍1850))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2827,"operation_count":15,"complexity_ratio":188.46666666666667,"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":1953,"base":13},"right_expr":{"type":"numeric_atoms","value":2749,"base":13}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":1310,"base":13}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1184,"base":13},"right_expr":{"type":"numeric_atoms","value":1352,"base":13}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2751,"base":13},"right_expr":{"type":"numeric_atoms","value":1241,"base":13}}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":6536,"base":13}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1521,"base":13},"right_expr":{"type":"numeric_atoms","value":1997,"base":13}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1042,"base":13},"right_expr":{"type":"numeric_atoms","value":3219,"base":13}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":4476,"base":13},"right_expr":{"type":"numeric_atoms","value":3614,"base":13}}}}},"used_operators":["mqXw5SEYmG","f6k1SAg4EE","KYD54nUTWz","2DlMacCsIx","9ICcGScMcE","DZ8iAZOCBD","g55IO6H4Gj","9FxExcQeMw","TpPTUOHfaN","P8v4zCKN1o","i8ToyICDmI","7j4O788W3g"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1953","layer":4},{"info":"number node, value=2749","layer":4},{"info":"compute binary expreesion, left_input=1953, right_input=2749, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":3},{"info":"number node, value=1310","layer":4},{"info":"compute unary expreesion, input=1310, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1310","layer":3},{"info":"compute binary expreesion, left_input=-3, right_input=1310, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=1184","layer":4},{"info":"number node, value=1352","layer":4},{"info":"compute binary expreesion, left_input=1184, right_input=1352, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2368","layer":3},{"info":"number node, value=2751","layer":4},{"info":"number node, value=1241","layer":4},{"info":"compute binary expreesion, left_input=2751, right_input=1241, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=7984","layer":3},{"info":"compute binary expreesion, left_input=2368, right_input=7984, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-9","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-9, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":1},{"info":"number node, value=6536","layer":4},{"info":"compute unary expreesion, input=6536, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=7404","layer":3},{"info":"number node, value=1521","layer":4},{"info":"number node, value=1997","layer":4},{"info":"compute binary expreesion, left_input=1521, right_input=1997, 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=7404, right_input=-3, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=1042","layer":4},{"info":"number node, value=3219","layer":4},{"info":"compute binary expreesion, left_input=1042, right_input=3219, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=4476","layer":4},{"info":"number node, value=3614","layer":4},{"info":"compute binary expreesion, left_input=4476, right_input=3614, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3614","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=3614, 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":"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":13,"result_base":13,"text":"((⪎⋱⫍B73⩨⪎⋱⫍1336)⫥∨⫟(≦∁⪎⋱⫍79A)⪒⪎⋱⫍701⊉≛↸⪎⋱⫍800⩨(⪎⋱⫍1338⨸⪁⪎⋱⫍746))⫸⊐((∥⊫⪎⋱⫍2C8A)+⇶⊼(⪎⋱⫍900⩨⪎⋱⫍BA8))⩷∴((⪎⋱⫍622∲⫓⪎⋱⫍1608)⫥∨⫟(⪎⋱⫍2064↺⪎⋱⫍1850))=NaN","reverse_text":"NaN=((⪎⋱⫍B73⩨⪎⋱⫍1336)⫥∨⫟(≦∁⪎⋱⫍79A)⪒⪎⋱⫍701⊉≛↸⪎⋱⫍800⩨(⪎⋱⫍1338⨸⪁⪎⋱⫍746))⫸⊐((∥⊫⪎⋱⫍2C8A)+⇶⊼(⪎⋱⫍900⩨⪎⋱⫍BA8))⩷∴((⪎⋱⫍622∲⫓⪎⋱⫍1608)⫥∨⫟(⪎⋱⫍2064↺⪎⋱⫍1850))","cot":[{"info":"⪎⋱⫍B73⩨⪎⋱⫍1336=⪎⋱⫍-3","layer":3},{"info":"≦∁⪎⋱⫍79A=⪎⋱⫍79A","layer":3},{"info":"⪎⋱⫍-3⫥∨⫟⪎⋱⫍79A=NaN","layer":2},{"info":"⪎⋱⫍701⊉≛↸⪎⋱⫍800=⪎⋱⫍1102","layer":3},{"info":"⪎⋱⫍1338⨸⪁⪎⋱⫍746=⪎⋱⫍3832","layer":3},{"info":"⪎⋱⫍1102⩨⪎⋱⫍3832=⪎⋱⫍-9","layer":2},{"info":"NaN⪒⪎⋱⫍-9=NaN","layer":1},{"info":"∥⊫⪎⋱⫍2C8A=⪎⋱⫍34A7","layer":3},{"info":"⪎⋱⫍900⩨⪎⋱⫍BA8=⪎⋱⫍-3","layer":3},{"info":"⪎⋱⫍34A7+⇶⊼⪎⋱⫍-3=NaN","layer":2},{"info":"⪎⋱⫍622∲⫓⪎⋱⫍1608=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍2064↺⪎⋱⫍1850=⪎⋱⫍1850","layer":3},{"info":"⪎⋱⫍0⫥∨⫟⪎⋱⫍1850=NaN","layer":2},{"info":"NaN⩷∴NaN=NaN","layer":1},{"info":"NaN⫸⊐NaN=NaN","layer":0}]}
{"id":947,"expression_no_base_symbol":"∥⊫($9242$⨎$1127$⨽$1273$⨓$8782$)⨐⩸⫘(⊥($1331$∼$2177$))","expression":"∥⊫(⪎⋱⫍428C⨎⪎⋱⫍689⨽⪎⋱⫍76C⨓⪎⋱⫍3CC7)⨐⩸⫘(⊥(⪎⋱⫍7B5∼⪎⋱⫍CB6))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":9958,"operation_count":7,"complexity_ratio":1422.5714285714287,"tree":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":9242,"base":13},"right_expr":{"type":"numeric_atoms","value":1127,"base":13}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1273,"base":13},"right_expr":{"type":"numeric_atoms","value":8782,"base":13}}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1331,"base":13},"right_expr":{"type":"numeric_atoms","value":2177,"base":13}}}}},"used_operators":["P8v4zCKN1o","fu6greOZ01","8HhzD0ZcuI","rJVOvQCfKK","3ViojmjbAp","Q3PJZHRvZv","DyGG3AbaNP"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","fu6greOZ01","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=9242","layer":4},{"info":"number node, value=1127","layer":4},{"info":"compute binary expreesion, left_input=9242, right_input=1127, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1127","layer":3},{"info":"number node, value=1273","layer":4},{"info":"number node, value=8782","layer":4},{"info":"compute binary expreesion, left_input=1273, right_input=8782, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-8785","layer":3},{"info":"compute binary expreesion, left_input=1127, right_input=-8785, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-3782718","layer":2},{"info":"number node, value=1331","layer":4},{"info":"number node, value=2177","layer":4},{"info":"compute binary expreesion, left_input=1331, right_input=2177, 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=-3782718, 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 = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"∥⊫(⪎⋱⫍428C⨎⪎⋱⫍689⨽⪎⋱⫍76C⨓⪎⋱⫍3CC7)⨐⩸⫘(⊥(⪎⋱⫍7B5∼⪎⋱⫍CB6))=NaN","reverse_text":"NaN=∥⊫(⪎⋱⫍428C⨎⪎⋱⫍689⨽⪎⋱⫍76C⨓⪎⋱⫍3CC7)⨐⩸⫘(⊥(⪎⋱⫍7B5∼⪎⋱⫍CB6))","cot":[{"info":"⪎⋱⫍428C⨎⪎⋱⫍689=⪎⋱⫍689","layer":3},{"info":"⪎⋱⫍76C⨓⪎⋱⫍3CC7=⪎⋱⫍-3CCA","layer":3},{"info":"⪎⋱⫍689⨽⪎⋱⫍-3CCA=⪎⋱⫍-A259C4","layer":2},{"info":"⪎⋱⫍7B5∼⪎⋱⫍CB6=NaN","layer":3},{"info":"⊥NaN=NaN","layer":2},{"info":"⪎⋱⫍-A259C4⨐⩸⫘NaN=NaN","layer":1},{"info":"∥⊫NaN=NaN","layer":0}]}
{"id":948,"expression_no_base_symbol":"($5000$⋝⋈⪟$2754$⊭↱(⨞⊢$4103$)∲⫓(($2954$⩤)↛⩡⫤))∑⇟⊟(↩($2817$⨸⪁$1650$))⨪↰⇹(($3253$*$6508$)⫸⊐$7292$⪛$1244$)","expression":"(⪎⋱⫍2378⋝⋈⪟⪎⋱⫍133B⊭↱(⨞⊢⪎⋱⫍1B38)∲⫓((⪎⋱⫍1463⩤)↛⩡⫤))∑⇟⊟(↩(⪎⋱⫍1389⨸⪁⪎⋱⫍99C))⨪↰⇹((⪎⋱⫍1633*⪎⋱⫍2C68)⫸⊐⪎⋱⫍341C⪛⪎⋱⫍749)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":80986,"operation_count":13,"complexity_ratio":6229.692307692308,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":5000,"base":13},"right_expr":{"type":"numeric_atoms","value":2754,"base":13}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":4103,"base":13}}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":2954,"base":13}}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2817,"base":13},"right_expr":{"type":"numeric_atoms","value":1650,"base":13}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":3253,"base":13},"right_expr":{"type":"numeric_atoms","value":6508,"base":13}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":7292,"base":13},"right_expr":{"type":"numeric_atoms","value":1244,"base":13}}}}},"used_operators":["U7g4x0WXJJ","i8ToyICDmI","COABgblf1C","2DDjHMKMc0","xUOZtlo3hN","FU0Cs4j7VP","Z2TMIBDE3Q","tmPS8pqC7x","jLgFTUHLKL","g55IO6H4Gj","mqXw5SEYmG","9HNa5Wba9A","uFcxV4UQCh"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5000","layer":4},{"info":"number node, value=2754","layer":4},{"info":"compute binary expreesion, left_input=5000, right_input=2754, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=5000","layer":3},{"info":"number node, value=4103","layer":4},{"info":"compute unary expreesion, input=4103, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-4277","layer":3},{"info":"compute binary expreesion, left_input=5000, right_input=-4277, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-18549","layer":2},{"info":"number node, value=2954","layer":4},{"info":"compute unary expreesion, input=2954, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-2954","layer":3},{"info":"compute unary expreesion, input=-2954, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=1025","layer":2},{"info":"compute binary expreesion, left_input=-18549, right_input=1025, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":1},{"info":"number node, value=2817","layer":4},{"info":"number node, value=1650","layer":4},{"info":"compute binary expreesion, left_input=2817, right_input=1650, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=8934","layer":3},{"info":"compute unary expreesion, input=8934, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-68692","layer":2},{"info":"number node, value=3253","layer":4},{"info":"number node, value=6508","layer":4},{"info":"compute binary expreesion, left_input=3253, right_input=6508, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=21170524","layer":3},{"info":"number node, value=7292","layer":4},{"info":"number node, value=1244","layer":4},{"info":"compute binary expreesion, left_input=7292, right_input=1244, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1072","layer":3},{"info":"compute binary expreesion, left_input=21170524, right_input=1072, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=4163","layer":2},{"info":"compute binary expreesion, left_input=-68692, right_input=4163, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=-68692","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-68692, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍2378⋝⋈⪟⪎⋱⫍133B⊭↱(⨞⊢⪎⋱⫍1B38)∲⫓((⪎⋱⫍1463⩤)↛⩡⫤))∑⇟⊟(↩(⪎⋱⫍1389⨸⪁⪎⋱⫍99C))⨪↰⇹((⪎⋱⫍1633*⪎⋱⫍2C68)⫸⊐⪎⋱⫍341C⪛⪎⋱⫍749)=NaN","reverse_text":"NaN=(⪎⋱⫍2378⋝⋈⪟⪎⋱⫍133B⊭↱(⨞⊢⪎⋱⫍1B38)∲⫓((⪎⋱⫍1463⩤)↛⩡⫤))∑⇟⊟(↩(⪎⋱⫍1389⨸⪁⪎⋱⫍99C))⨪↰⇹((⪎⋱⫍1633*⪎⋱⫍2C68)⫸⊐⪎⋱⫍341C⪛⪎⋱⫍749)","cot":[{"info":"⪎⋱⫍2378⋝⋈⪟⪎⋱⫍133B=⪎⋱⫍2378","layer":3},{"info":"⨞⊢⪎⋱⫍1B38=⪎⋱⫍-1C40","layer":3},{"info":"⪎⋱⫍2378⊭↱⪎⋱⫍-1C40=⪎⋱⫍-859B","layer":2},{"info":"⪎⋱⫍1463⩤=⪎⋱⫍-1463","layer":3},{"info":"⪎⋱⫍-1463↛⩡⫤=⪎⋱⫍60B","layer":2},{"info":"⪎⋱⫍-859B∲⫓⪎⋱⫍60B=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍1389⨸⪁⪎⋱⫍99C=⪎⋱⫍40B3","layer":3},{"info":"↩⪎⋱⫍40B3=⪎⋱⫍-25360","layer":2},{"info":"⪎⋱⫍1633*⪎⋱⫍2C68=⪎⋱⫍450314B","layer":3},{"info":"⪎⋱⫍341C⪛⪎⋱⫍749=⪎⋱⫍646","layer":3},{"info":"⪎⋱⫍450314B⫸⊐⪎⋱⫍646=⪎⋱⫍1B83","layer":2},{"info":"⪎⋱⫍-25360⨪↰⇹⪎⋱⫍1B83=⪎⋱⫍-25360","layer":1},{"info":"⪎⋱⫍0∑⇟⊟⪎⋱⫍-25360=NaN","layer":0}]}
{"id":949,"expression_no_base_symbol":"⨈⫕(($1859$↛⩡⫤)⪨≂$2183$≹⇙⪍$4865$)↬($1316$⊴$1546$⋳⪒($7269$+$1526$))","expression":"⨈⫕((⪎⋱⫍B00↛⩡⫤)⪨≂⪎⋱⫍CBC≹⇙⪍⪎⋱⫍22A3)↬(⪎⋱⫍7A3⊴⪎⋱⫍91C⋳⪒(⪎⋱⫍3402+⪎⋱⫍905))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":7664,"operation_count":8,"complexity_ratio":958.0,"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":1859,"base":13}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2183,"base":13},"right_expr":{"type":"numeric_atoms","value":4865,"base":13}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1316,"base":13},"right_expr":{"type":"numeric_atoms","value":1546,"base":13}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":7269,"base":13},"right_expr":{"type":"numeric_atoms","value":1526,"base":13}}}}},"used_operators":["megm06wKyl","B5M0gjZbta","sdazOOVcIp","FU0Cs4j7VP","AHs5Up7iyr","12rbrZMWeM","Nsiff2A1zJ","W4YGzv6Whe"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr"],"result":"⪎⋱⫍-18","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1859","layer":4},{"info":"compute unary expreesion, input=1859, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-276798","layer":3},{"info":"number node, value=2183","layer":4},{"info":"number node, value=4865","layer":4},{"info":"compute binary expreesion, left_input=2183, right_input=4865, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=-276798, 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=1316","layer":4},{"info":"number node, value=1546","layer":4},{"info":"compute binary expreesion, left_input=1316, right_input=1546, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=7269","layer":4},{"info":"number node, value=1526","layer":4},{"info":"compute binary expreesion, left_input=7269, right_input=1526, op_id = W4YGzv6Whe binary_op_definition= 'None', output=8795","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=8795, 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 = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":0}],"base":13,"result_base":13,"text":"⨈⫕((⪎⋱⫍B00↛⩡⫤)⪨≂⪎⋱⫍CBC≹⇙⪍⪎⋱⫍22A3)↬(⪎⋱⫍7A3⊴⪎⋱⫍91C⋳⪒(⪎⋱⫍3402+⪎⋱⫍905))=⪎⋱⫍-18","reverse_text":"⪎⋱⫍-18=⨈⫕((⪎⋱⫍B00↛⩡⫤)⪨≂⪎⋱⫍CBC≹⇙⪍⪎⋱⫍22A3)↬(⪎⋱⫍7A3⊴⪎⋱⫍91C⋳⪒(⪎⋱⫍3402+⪎⋱⫍905))","cot":[{"info":"⪎⋱⫍B00↛⩡⫤=⪎⋱⫍-98CB2","layer":3},{"info":"⪎⋱⫍CBC≹⇙⪍⪎⋱⫍22A3=NaN","layer":3},{"info":"⪎⋱⫍-98CB2⪨≂NaN=NaN","layer":2},{"info":"⪎⋱⫍7A3⊴⪎⋱⫍91C=NaN","layer":3},{"info":"⪎⋱⫍3402+⪎⋱⫍905=⪎⋱⫍4007","layer":3},{"info":"NaN⋳⪒⪎⋱⫍4007=NaN","layer":2},{"info":"NaN↬NaN=NaN","layer":1},{"info":"⨈⫕NaN=⪎⋱⫍-18","layer":0}]}
{"id":950,"expression_no_base_symbol":"↯⪼(($1077$≧⫂∧$4937$)⇷($1511$⪄$1134$))⊴(⪝⪂⫅($1317$⊭∹↮))","expression":"↯⪼((⪎⋱⫍64B≧⫂∧⪎⋱⫍232A)⇷(⪎⋱⫍8C3⪄⪎⋱⫍693))⊴(⪝⪂⫅(⪎⋱⫍7A4⊭∹↮))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":449991,"operation_count":7,"complexity_ratio":64284.42857142857,"tree":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1077,"base":13},"right_expr":{"type":"numeric_atoms","value":4937,"base":13}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1511,"base":13},"right_expr":{"type":"numeric_atoms","value":1134,"base":13}}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":1317,"base":13}}}}},"used_operators":["8jW3W4yZS5","Nsiff2A1zJ","mp7IySMOzn","Ph9nP6C5qx","SUmda5xLS4","XTarYq4gQB","xNBdhnnwKq"],"dependent_operators":["eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","dWAJyo7jo9","14qkJME0vr","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","9HNa5Wba9A","8w2t5hMYqp","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C"],"result":"⪎⋱⫍-18","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1077","layer":4},{"info":"number node, value=4937","layer":4},{"info":"compute binary expreesion, left_input=1077, right_input=4937, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=4464","layer":3},{"info":"number node, value=1511","layer":4},{"info":"number node, value=1134","layer":4},{"info":"compute binary expreesion, left_input=1511, right_input=1134, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-224253","layer":3},{"info":"compute binary expreesion, left_input=4464, right_input=-224253, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"number node, value=1317","layer":4},{"info":"compute unary expreesion, input=1317, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=2634","layer":3},{"info":"compute unary expreesion, input=2634, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-387198","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-387198, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":0}],"base":13,"result_base":13,"text":"↯⪼((⪎⋱⫍64B≧⫂∧⪎⋱⫍232A)⇷(⪎⋱⫍8C3⪄⪎⋱⫍693))⊴(⪝⪂⫅(⪎⋱⫍7A4⊭∹↮))=⪎⋱⫍-18","reverse_text":"⪎⋱⫍-18=↯⪼((⪎⋱⫍64B≧⫂∧⪎⋱⫍232A)⇷(⪎⋱⫍8C3⪄⪎⋱⫍693))⊴(⪝⪂⫅(⪎⋱⫍7A4⊭∹↮))","cot":[{"info":"⪎⋱⫍64B≧⫂∧⪎⋱⫍232A=⪎⋱⫍2055","layer":3},{"info":"⪎⋱⫍8C3⪄⪎⋱⫍693=⪎⋱⫍-7B0C3","layer":3},{"info":"⪎⋱⫍2055⇷⪎⋱⫍-7B0C3=NaN","layer":2},{"info":"⪎⋱⫍7A4⊭∹↮=⪎⋱⫍1278","layer":3},{"info":"⪝⪂⫅⪎⋱⫍1278=⪎⋱⫍-107316","layer":2},{"info":"NaN⊴⪎⋱⫍-107316=NaN","layer":1},{"info":"↯⪼NaN=⪎⋱⫍-18","layer":0}]}
{"id":951,"expression_no_base_symbol":"($6472$+⇶⊼$5083$∲⫓($2965$⪨≂$1598$))⨎($1099$⪄$1385$)⨟⋌⩍$8199$⨟⋌⩍$1893$∲⫓(($3606$⨳⩥⨓$1174$)⫩⊇)↙($2065$⋥≓≎$1719$≣⋋)","expression":"(⪎⋱⫍2C3B+⇶⊼⪎⋱⫍2410∲⫓(⪎⋱⫍1471⪨≂⪎⋱⫍95C))⨎(⪎⋱⫍667⪄⪎⋱⫍827)⨟⋌⩍⪎⋱⫍3969⨟⋌⩍⪎⋱⫍B28∲⫓((⪎⋱⫍1845⨳⩥⨓⪎⋱⫍6C4)⫩⊇)↙(⪎⋱⫍C2B⋥≓≎⪎⋱⫍A23≣⋋)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":634,"operation_count":13,"complexity_ratio":48.76923076923077,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":6472,"base":13},"right_expr":{"type":"numeric_atoms","value":5083,"base":13}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2965,"base":13},"right_expr":{"type":"numeric_atoms","value":1598,"base":13}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1099,"base":13},"right_expr":{"type":"numeric_atoms","value":1385,"base":13}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":8199,"base":13},"right_expr":{"type":"numeric_atoms","value":1893,"base":13}}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":3606,"base":13},"right_expr":{"type":"numeric_atoms","value":1174,"base":13}}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2065,"base":13},"right_expr":{"type":"numeric_atoms","value":1719,"base":13}}}}},"used_operators":["i8ToyICDmI","rJVOvQCfKK","TpPTUOHfaN","sdazOOVcIp","rGHVDoGpnC","SUmda5xLS4","yyfyN0ffXY","BjRHVeLaeN","nCS4ZIUYfx","Tcnh7f0tEr","Qy55tPpLXF"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=6472","layer":4},{"info":"number node, value=5083","layer":4},{"info":"compute binary expreesion, left_input=6472, right_input=5083, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=2965","layer":4},{"info":"number node, value=1598","layer":4},{"info":"compute binary expreesion, left_input=2965, right_input=1598, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=2836","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2836, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"number node, value=1099","layer":4},{"info":"number node, value=1385","layer":4},{"info":"compute binary expreesion, left_input=1099, right_input=1385, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-164281","layer":3},{"info":"number node, value=8199","layer":4},{"info":"number node, value=1893","layer":4},{"info":"compute binary expreesion, left_input=8199, right_input=1893, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=-164281, 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 = 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=3606","layer":4},{"info":"number node, value=1174","layer":4},{"info":"compute binary expreesion, left_input=3606, right_input=1174, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-2432","layer":3},{"info":"compute unary expreesion, input=-2432, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=2474","layer":2},{"info":"number node, value=2065","layer":4},{"info":"number node, value=1719","layer":4},{"info":"compute binary expreesion, left_input=2065, right_input=1719, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=1406","layer":3},{"info":"compute unary expreesion, input=1406, 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=2474, right_input=0, 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 = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍2C3B+⇶⊼⪎⋱⫍2410∲⫓(⪎⋱⫍1471⪨≂⪎⋱⫍95C))⨎(⪎⋱⫍667⪄⪎⋱⫍827)⨟⋌⩍⪎⋱⫍3969⨟⋌⩍⪎⋱⫍B28∲⫓((⪎⋱⫍1845⨳⩥⨓⪎⋱⫍6C4)⫩⊇)↙(⪎⋱⫍C2B⋥≓≎⪎⋱⫍A23≣⋋)=NaN","reverse_text":"NaN=(⪎⋱⫍2C3B+⇶⊼⪎⋱⫍2410∲⫓(⪎⋱⫍1471⪨≂⪎⋱⫍95C))⨎(⪎⋱⫍667⪄⪎⋱⫍827)⨟⋌⩍⪎⋱⫍3969⨟⋌⩍⪎⋱⫍B28∲⫓((⪎⋱⫍1845⨳⩥⨓⪎⋱⫍6C4)⫩⊇)↙(⪎⋱⫍C2B⋥≓≎⪎⋱⫍A23≣⋋)","cot":[{"info":"⪎⋱⫍2C3B+⇶⊼⪎⋱⫍2410=NaN","layer":3},{"info":"⪎⋱⫍1471⪨≂⪎⋱⫍95C=⪎⋱⫍13A2","layer":3},{"info":"NaN∲⫓⪎⋱⫍13A2=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍667⪄⪎⋱⫍827=⪎⋱⫍-59A10","layer":3},{"info":"⪎⋱⫍3969⨟⋌⩍⪎⋱⫍B28=NaN","layer":3},{"info":"⪎⋱⫍-59A10⨟⋌⩍NaN=NaN","layer":2},{"info":"⪎⋱⫍0⨎NaN=NaN","layer":1},{"info":"⪎⋱⫍1845⨳⩥⨓⪎⋱⫍6C4=⪎⋱⫍-1151","layer":3},{"info":"⪎⋱⫍-1151⫩⊇=⪎⋱⫍1184","layer":2},{"info":"⪎⋱⫍C2B⋥≓≎⪎⋱⫍A23=⪎⋱⫍842","layer":3},{"info":"⪎⋱⫍842≣⋋=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍1184↙⪎⋱⫍0=⪎⋱⫍0","layer":1},{"info":"NaN∲⫓⪎⋱⫍0=NaN","layer":0}]}
{"id":952,"expression_no_base_symbol":"(($2282$⋷$1520$)⪒$1479$≧⫂∧$4019$)⋓(↩($5298$+$1577$))⪠⩆⊳","expression":"((⪎⋱⫍1067⋷⪎⋱⫍8CC)⪒⪎⋱⫍89A≧⫂∧⪎⋱⫍1AA2)⋓(↩(⪎⋱⫍2547+⪎⋱⫍944))⪠⩆⊳","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":43,"operation_count":7,"complexity_ratio":6.142857142857143,"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":2282,"base":13},"right_expr":{"type":"numeric_atoms","value":1520,"base":13}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1479,"base":13},"right_expr":{"type":"numeric_atoms","value":4019,"base":13}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":5298,"base":13},"right_expr":{"type":"numeric_atoms","value":1577,"base":13}}}}},"used_operators":["JLbD19bQDL","T2fj7uvVaJ","f6k1SAg4EE","23Mk6UjR3U","Ph9nP6C5qx","jLgFTUHLKL","W4YGzv6Whe"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2282","layer":4},{"info":"number node, value=1520","layer":4},{"info":"compute binary expreesion, left_input=2282, right_input=1520, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=758","layer":3},{"info":"number node, value=1479","layer":4},{"info":"number node, value=4019","layer":4},{"info":"compute binary expreesion, left_input=1479, right_input=4019, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=3546","layer":3},{"info":"compute binary expreesion, left_input=758, right_input=3546, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4304","layer":2},{"info":"number node, value=5298","layer":4},{"info":"number node, value=1577","layer":4},{"info":"compute binary expreesion, left_input=5298, right_input=1577, op_id = W4YGzv6Whe binary_op_definition= 'None', output=6875","layer":3},{"info":"compute unary expreesion, input=6875, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-52220","layer":2},{"info":"compute binary expreesion, left_input=-4304, right_input=-52220, op_id = T2fj7uvVaJ binary_op_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 = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍1067⋷⪎⋱⫍8CC)⪒⪎⋱⫍89A≧⫂∧⪎⋱⫍1AA2)⋓(↩(⪎⋱⫍2547+⪎⋱⫍944))⪠⩆⊳=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=((⪎⋱⫍1067⋷⪎⋱⫍8CC)⪒⪎⋱⫍89A≧⫂∧⪎⋱⫍1AA2)⋓(↩(⪎⋱⫍2547+⪎⋱⫍944))⪠⩆⊳","cot":[{"info":"⪎⋱⫍1067⋷⪎⋱⫍8CC=⪎⋱⫍464","layer":3},{"info":"⪎⋱⫍89A≧⫂∧⪎⋱⫍1AA2=⪎⋱⫍17CA","layer":3},{"info":"⪎⋱⫍464⪒⪎⋱⫍17CA=⪎⋱⫍-1C61","layer":2},{"info":"⪎⋱⫍2547+⪎⋱⫍944=⪎⋱⫍318B","layer":3},{"info":"↩⪎⋱⫍318B=⪎⋱⫍-1A9CC","layer":2},{"info":"⪎⋱⫍-1C61⋓⪎⋱⫍-1A9CC=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍0⪠⩆⊳=⪎⋱⫍0","layer":0}]}
{"id":953,"expression_no_base_symbol":"(($1324$⨽$2708$)⫥∨⫟($1409$⊉≛↸$2239$)∲⫓($1988$⋷$1546$)≭(⫛⫱⨽$5922$))⩨(⫛⫱⨽($6599$≎⊠⪸$4842$%$1077$⨪↰⇹$4412$))","expression":"((⪎⋱⫍7AB⨽⪎⋱⫍1304)⫥∨⫟(⪎⋱⫍845⊉≛↸⪎⋱⫍1033)∲⫓(⪎⋱⫍B9C⋷⪎⋱⫍91C)≭(⫛⫱⨽⪎⋱⫍2907))⩨(⫛⫱⨽(⪎⋱⫍3008≎⊠⪸⪎⋱⫍2286%⪎⋱⫍64B⨪↰⇹⪎⋱⫍2015))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":7275,"operation_count":12,"complexity_ratio":606.25,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1324,"base":13},"right_expr":{"type":"numeric_atoms","value":2708,"base":13}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1409,"base":13},"right_expr":{"type":"numeric_atoms","value":2239,"base":13}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1988,"base":13},"right_expr":{"type":"numeric_atoms","value":1546,"base":13}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":5922,"base":13}}}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":6599,"base":13},"right_expr":{"type":"numeric_atoms","value":4842,"base":13}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1077,"base":13},"right_expr":{"type":"numeric_atoms","value":4412,"base":13}}}}},"used_operators":["2DlMacCsIx","i8ToyICDmI","KYD54nUTWz","8HhzD0ZcuI","DZ8iAZOCBD","rxpJgHHUmx","23Mk6UjR3U","DlLNRPXxWL","k8jYdgA6NY","bJkvcejdHO","tmPS8pqC7x"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","rysDP5nf3Z","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1324","layer":4},{"info":"number node, value=2708","layer":4},{"info":"compute binary expreesion, left_input=1324, right_input=2708, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-5265738","layer":3},{"info":"number node, value=1409","layer":4},{"info":"number node, value=2239","layer":4},{"info":"compute binary expreesion, left_input=1409, right_input=2239, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2818","layer":3},{"info":"compute binary expreesion, left_input=-5265738, right_input=2818, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=1988","layer":4},{"info":"number node, value=1546","layer":4},{"info":"compute binary expreesion, left_input=1988, right_input=1546, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=1104","layer":3},{"info":"number node, value=5922","layer":4},{"info":"compute unary expreesion, input=5922, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=1104, 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=nan, right_input=-22, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":1},{"info":"number node, value=6599","layer":4},{"info":"number node, value=4842","layer":4},{"info":"compute binary expreesion, left_input=6599, right_input=4842, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1708668","layer":3},{"info":"number node, value=1077","layer":4},{"info":"number node, value=4412","layer":4},{"info":"compute binary expreesion, left_input=1077, right_input=4412, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1077","layer":3},{"info":"compute binary expreesion, left_input=1708668, right_input=1077, op_id = k8jYdgA6NY binary_op_definition= 'None', output=546","layer":2},{"info":"compute unary expreesion, input=546, 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 = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍7AB⨽⪎⋱⫍1304)⫥∨⫟(⪎⋱⫍845⊉≛↸⪎⋱⫍1033)∲⫓(⪎⋱⫍B9C⋷⪎⋱⫍91C)≭(⫛⫱⨽⪎⋱⫍2907))⩨(⫛⫱⨽(⪎⋱⫍3008≎⊠⪸⪎⋱⫍2286%⪎⋱⫍64B⨪↰⇹⪎⋱⫍2015))=NaN","reverse_text":"NaN=((⪎⋱⫍7AB⨽⪎⋱⫍1304)⫥∨⫟(⪎⋱⫍845⊉≛↸⪎⋱⫍1033)∲⫓(⪎⋱⫍B9C⋷⪎⋱⫍91C)≭(⫛⫱⨽⪎⋱⫍2907))⩨(⫛⫱⨽(⪎⋱⫍3008≎⊠⪸⪎⋱⫍2286%⪎⋱⫍64B⨪↰⇹⪎⋱⫍2015))","cot":[{"info":"⪎⋱⫍7AB⨽⪎⋱⫍1304=⪎⋱⫍-1124A2A","layer":3},{"info":"⪎⋱⫍845⊉≛↸⪎⋱⫍1033=⪎⋱⫍138A","layer":3},{"info":"⪎⋱⫍-1124A2A⫥∨⫟⪎⋱⫍138A=NaN","layer":2},{"info":"⪎⋱⫍B9C⋷⪎⋱⫍91C=⪎⋱⫍66C","layer":3},{"info":"⫛⫱⨽⪎⋱⫍2907=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍66C≭⪎⋱⫍0=⪎⋱⫍-19","layer":2},{"info":"NaN∲⫓⪎⋱⫍-19=NaN","layer":1},{"info":"⪎⋱⫍3008≎⊠⪸⪎⋱⫍2286=⪎⋱⫍47A960","layer":3},{"info":"⪎⋱⫍64B⨪↰⇹⪎⋱⫍2015=⪎⋱⫍64B","layer":3},{"info":"⪎⋱⫍47A960%⪎⋱⫍64B=⪎⋱⫍330","layer":2},{"info":"⫛⫱⨽⪎⋱⫍330=⪎⋱⫍0","layer":1},{"info":"NaN⩨⪎⋱⫍0=NaN","layer":0}]}
{"id":954,"expression_no_base_symbol":"(($4474$⫥∨⫟$1571$⫸⊐($2312$-$2525$))⨽(⊥($5002$⩨$1110$)))⪛(((⪲⇎$3094$)≦≮≮)∲⫓($1901$⪘⫢$2302$)⇷(↩$3573$))","expression":"((⪎⋱⫍2062⫥∨⫟⪎⋱⫍93B⫸⊐(⪎⋱⫍108B-⪎⋱⫍11C3))⨽(⊥(⪎⋱⫍237A⩨⪎⋱⫍675)))⪛(((⪲⇎⪎⋱⫍1540)≦≮≮)∲⫓(⪎⋱⫍B33⪘⫢⪎⋱⫍1081)⇷(↩⪎⋱⫍181B))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":51716,"operation_count":13,"complexity_ratio":3978.153846153846,"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":4474,"base":13},"right_expr":{"type":"numeric_atoms","value":1571,"base":13}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2312,"base":13},"right_expr":{"type":"numeric_atoms","value":2525,"base":13}}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":5002,"base":13},"right_expr":{"type":"numeric_atoms","value":1110,"base":13}}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":3094,"base":13}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1901,"base":13},"right_expr":{"type":"numeric_atoms","value":2302,"base":13}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":3573,"base":13}}}}},"used_operators":["uFcxV4UQCh","8HhzD0ZcuI","mqXw5SEYmG","KYD54nUTWz","rysDP5nf3Z","Q3PJZHRvZv","2DlMacCsIx","i8ToyICDmI","D4vGDi5EA2","XPYlsWDdGa","mp7IySMOzn","oacrs7FA3X","jLgFTUHLKL"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","8HhzD0ZcuI","rGHVDoGpnC","fu6greOZ01","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4474","layer":4},{"info":"number node, value=1571","layer":4},{"info":"compute binary expreesion, left_input=4474, right_input=1571, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=2312","layer":4},{"info":"number node, value=2525","layer":4},{"info":"compute binary expreesion, left_input=2312, right_input=2525, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-213","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-213, 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=5002","layer":4},{"info":"number node, value=1110","layer":4},{"info":"compute binary expreesion, left_input=5002, right_input=1110, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":1},{"info":"number node, value=3094","layer":4},{"info":"compute unary expreesion, input=3094, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=6188","layer":3},{"info":"compute unary expreesion, input=6188, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-18564","layer":2},{"info":"number node, value=1901","layer":4},{"info":"number node, value=2302","layer":4},{"info":"compute binary expreesion, left_input=1901, right_input=2302, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=3678","layer":3},{"info":"number node, value=3573","layer":4},{"info":"compute unary expreesion, input=3573, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-25804","layer":3},{"info":"compute binary expreesion, left_input=3678, right_input=-25804, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-18564, 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 = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍2062⫥∨⫟⪎⋱⫍93B⫸⊐(⪎⋱⫍108B-⪎⋱⫍11C3))⨽(⊥(⪎⋱⫍237A⩨⪎⋱⫍675)))⪛(((⪲⇎⪎⋱⫍1540)≦≮≮)∲⫓(⪎⋱⫍B33⪘⫢⪎⋱⫍1081)⇷(↩⪎⋱⫍181B))=NaN","reverse_text":"NaN=((⪎⋱⫍2062⫥∨⫟⪎⋱⫍93B⫸⊐(⪎⋱⫍108B-⪎⋱⫍11C3))⨽(⊥(⪎⋱⫍237A⩨⪎⋱⫍675)))⪛(((⪲⇎⪎⋱⫍1540)≦≮≮)∲⫓(⪎⋱⫍B33⪘⫢⪎⋱⫍1081)⇷(↩⪎⋱⫍181B))","cot":[{"info":"⪎⋱⫍2062⫥∨⫟⪎⋱⫍93B=NaN","layer":3},{"info":"⪎⋱⫍108B-⪎⋱⫍11C3=⪎⋱⫍-135","layer":3},{"info":"NaN⫸⊐⪎⋱⫍-135=NaN","layer":2},{"info":"⪎⋱⫍237A⩨⪎⋱⫍675=⪎⋱⫍0","layer":3},{"info":"⊥⪎⋱⫍0=⪎⋱⫍0","layer":2},{"info":"NaN⨽⪎⋱⫍0=NaN","layer":1},{"info":"⪲⇎⪎⋱⫍1540=⪎⋱⫍2A80","layer":3},{"info":"⪎⋱⫍2A80≦≮≮=⪎⋱⫍-85B0","layer":2},{"info":"⪎⋱⫍B33⪘⫢⪎⋱⫍1081=⪎⋱⫍189C","layer":3},{"info":"↩⪎⋱⫍181B=⪎⋱⫍-B98C","layer":3},{"info":"⪎⋱⫍189C⇷⪎⋱⫍-B98C=NaN","layer":2},{"info":"⪎⋱⫍-85B0∲⫓NaN=NaN","layer":1},{"info":"NaN⪛NaN=NaN","layer":0}]}
{"id":955,"expression_no_base_symbol":"(($3468$≦≮≮)∑⇟⊟($1984$-$3662$)⫥∨⫟$1143$∼$3523$⩷∴($2064$⨰$5696$))⊪","expression":"((⪎⋱⫍176A≦≮≮)∑⇟⊟(⪎⋱⫍B98-⪎⋱⫍1889)⫥∨⫟⪎⋱⫍69C∼⪎⋱⫍17B0⩷∴(⪎⋱⫍C2A⨰⪎⋱⫍2792))⊪","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":208,"operation_count":8,"complexity_ratio":26.0,"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":3468,"base":13}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1984,"base":13},"right_expr":{"type":"numeric_atoms","value":3662,"base":13}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1143,"base":13},"right_expr":{"type":"numeric_atoms","value":3523,"base":13}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2064,"base":13},"right_expr":{"type":"numeric_atoms","value":5696,"base":13}}}}},"used_operators":["zVYPLywUTj","KYD54nUTWz","U7g4x0WXJJ","D4vGDi5EA2","rysDP5nf3Z","9FxExcQeMw","DyGG3AbaNP","eewbuw0ToL"],"dependent_operators":["sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","8HhzD0ZcuI","rGHVDoGpnC","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3468","layer":4},{"info":"compute unary expreesion, input=3468, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-10404","layer":3},{"info":"number node, value=1984","layer":4},{"info":"number node, value=3662","layer":4},{"info":"compute binary expreesion, left_input=1984, right_input=3662, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-1678","layer":3},{"info":"compute binary expreesion, left_input=-10404, right_input=-1678, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=1143","layer":4},{"info":"number node, value=3523","layer":4},{"info":"compute binary expreesion, left_input=1143, right_input=3523, 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=2064","layer":4},{"info":"number node, value=5696","layer":4},{"info":"compute binary expreesion, left_input=2064, right_input=5696, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-3622","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3622, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍176A≦≮≮)∑⇟⊟(⪎⋱⫍B98-⪎⋱⫍1889)⫥∨⫟⪎⋱⫍69C∼⪎⋱⫍17B0⩷∴(⪎⋱⫍C2A⨰⪎⋱⫍2792))⊪=NaN","reverse_text":"NaN=((⪎⋱⫍176A≦≮≮)∑⇟⊟(⪎⋱⫍B98-⪎⋱⫍1889)⫥∨⫟⪎⋱⫍69C∼⪎⋱⫍17B0⩷∴(⪎⋱⫍C2A⨰⪎⋱⫍2792))⊪","cot":[{"info":"⪎⋱⫍176A≦≮≮=⪎⋱⫍-4974","layer":3},{"info":"⪎⋱⫍B98-⪎⋱⫍1889=⪎⋱⫍-9C1","layer":3},{"info":"⪎⋱⫍-4974∑⇟⊟⪎⋱⫍-9C1=NaN","layer":2},{"info":"⪎⋱⫍69C∼⪎⋱⫍17B0=NaN","layer":3},{"info":"⪎⋱⫍C2A⨰⪎⋱⫍2792=⪎⋱⫍-1858","layer":3},{"info":"NaN⩷∴⪎⋱⫍-1858=NaN","layer":2},{"info":"NaN⫥∨⫟NaN=NaN","layer":1},{"info":"NaN⊪=NaN","layer":0}]}
{"id":956,"expression_no_base_symbol":"↽≂((↩$2666$↺$1559$)⩠)","expression":"↽≂((↩⪎⋱⫍12A1↺⪎⋱⫍92C)⩠)","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":38,"operation_count":4,"complexity_ratio":9.5,"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":2666,"base":13},"right_expr":{"type":"numeric_atoms","value":1559,"base":13}}}}},"used_operators":["u6S6b8DprG","sJAwomhLZr","jLgFTUHLKL","7j4O788W3g"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍-29636","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2666","layer":4},{"info":"number node, value=1559","layer":4},{"info":"compute binary expreesion, left_input=2666, right_input=1559, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1559","layer":3},{"info":"compute unary expreesion, input=1559, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-9692","layer":2},{"info":"compute unary expreesion, input=-9692, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=38977","layer":1},{"info":"compute unary expreesion, input=38977, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-77954","layer":0}],"base":13,"result_base":13,"text":"↽≂((↩⪎⋱⫍12A1↺⪎⋱⫍92C)⩠)=⪎⋱⫍-29636","reverse_text":"⪎⋱⫍-29636=↽≂((↩⪎⋱⫍12A1↺⪎⋱⫍92C)⩠)","cot":[{"info":"⪎⋱⫍12A1↺⪎⋱⫍92C=⪎⋱⫍92C","layer":3},{"info":"↩⪎⋱⫍92C=⪎⋱⫍-4547","layer":2},{"info":"⪎⋱⫍-4547⩠=⪎⋱⫍14983","layer":1},{"info":"↽≂⪎⋱⫍14983=⪎⋱⫍-29636","layer":0}]}
{"id":957,"expression_no_base_symbol":"($3080$⋳⪒$2252$*($4038$⋫)⇼⇔∾(⨵≀≌$1910$)⨳⩥⨓$4278$⩷∴$2400$)⨐⩸⫘(∂((⫓⪴$3934$)+($6597$⊭∹↮)))","expression":"(⪎⋱⫍152C⋳⪒⪎⋱⫍1043*(⪎⋱⫍1AB8⋫)⇼⇔∾(⨵≀≌⪎⋱⫍B3C)⨳⩥⨓⪎⋱⫍1C41⩷∴⪎⋱⫍1128)⨐⩸⫘(∂((⫓⪴⪎⋱⫍1A38)+(⪎⋱⫍3006⊭∹↮)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":11623,"operation_count":12,"complexity_ratio":968.5833333333334,"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":3080,"base":13},"right_expr":{"type":"numeric_atoms","value":2252,"base":13}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":4038,"base":13}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1910,"base":13}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":4278,"base":13},"right_expr":{"type":"numeric_atoms","value":2400,"base":13}}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":3934,"base":13}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":6597,"base":13}}}}},"used_operators":["fu6greOZ01","tifHPKVTfV","9HNa5Wba9A","12rbrZMWeM","JL8yIekQnl","nCS4ZIUYfx","srAu1WTS94","9FxExcQeMw","Uaa54Peajs","W4YGzv6Whe","eLxqMNBOBk","xNBdhnnwKq"],"dependent_operators":["3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","W4YGzv6Whe","rysDP5nf3Z","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","9HNa5Wba9A","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3080","layer":4},{"info":"number node, value=2252","layer":4},{"info":"compute binary expreesion, left_input=3080, right_input=2252, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=3621","layer":3},{"info":"number node, value=4038","layer":4},{"info":"compute unary expreesion, input=4038, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=4038","layer":3},{"info":"compute binary expreesion, left_input=3621, right_input=4038, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=14621598","layer":2},{"info":"number node, value=1910","layer":4},{"info":"compute unary expreesion, input=1910, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-5730","layer":3},{"info":"number node, value=4278","layer":4},{"info":"number node, value=2400","layer":4},{"info":"compute binary expreesion, left_input=4278, right_input=2400, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=3724","layer":3},{"info":"compute binary expreesion, left_input=-5730, right_input=3724, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=9454","layer":2},{"info":"compute binary expreesion, left_input=14621598, right_input=9454, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-14612144","layer":1},{"info":"number node, value=3934","layer":4},{"info":"compute unary expreesion, input=3934, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=15476356","layer":3},{"info":"number node, value=6597","layer":4},{"info":"compute unary expreesion, input=6597, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=13194","layer":3},{"info":"compute binary expreesion, left_input=15476356, right_input=13194, op_id = W4YGzv6Whe binary_op_definition= 'None', output=15489550","layer":2},{"info":"compute unary expreesion, input=15489550, 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=-14612144, 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":13,"result_base":13,"text":"(⪎⋱⫍152C⋳⪒⪎⋱⫍1043*(⪎⋱⫍1AB8⋫)⇼⇔∾(⨵≀≌⪎⋱⫍B3C)⨳⩥⨓⪎⋱⫍1C41⩷∴⪎⋱⫍1128)⨐⩸⫘(∂((⫓⪴⪎⋱⫍1A38)+(⪎⋱⫍3006⊭∹↮)))=NaN","reverse_text":"NaN=(⪎⋱⫍152C⋳⪒⪎⋱⫍1043*(⪎⋱⫍1AB8⋫)⇼⇔∾(⨵≀≌⪎⋱⫍B3C)⨳⩥⨓⪎⋱⫍1C41⩷∴⪎⋱⫍1128)⨐⩸⫘(∂((⫓⪴⪎⋱⫍1A38)+(⪎⋱⫍3006⊭∹↮)))","cot":[{"info":"⪎⋱⫍152C⋳⪒⪎⋱⫍1043=⪎⋱⫍1857","layer":3},{"info":"⪎⋱⫍1AB8⋫=⪎⋱⫍1AB8","layer":3},{"info":"⪎⋱⫍1857*⪎⋱⫍1AB8=⪎⋱⫍304C344","layer":2},{"info":"⨵≀≌⪎⋱⫍B3C=⪎⋱⫍-27BA","layer":3},{"info":"⪎⋱⫍1C41⩷∴⪎⋱⫍1128=⪎⋱⫍1906","layer":3},{"info":"⪎⋱⫍-27BA⨳⩥⨓⪎⋱⫍1906=⪎⋱⫍43C3","layer":2},{"info":"⪎⋱⫍304C344⇼⇔∾⪎⋱⫍43C3=⪎⋱⫍-3047C51","layer":1},{"info":"⫓⪴⪎⋱⫍1A38=⪎⋱⫍328B40C","layer":3},{"info":"⪎⋱⫍3006⊭∹↮=⪎⋱⫍600C","layer":3},{"info":"⪎⋱⫍328B40C+⪎⋱⫍600C=⪎⋱⫍329441B","layer":2},{"info":"∂⪎⋱⫍329441B=NaN","layer":1},{"info":"⪎⋱⫍-3047C51⨐⩸⫘NaN=NaN","layer":0}]}
{"id":958,"expression_no_base_symbol":"(($1484$+$3266$)⨳⩥⨓(⨑⩽⪐$1540$))∀⇚≩($1059$⋥≓≎$6353$↛⩡⫤)⨎(($1293$/$2423$)⊴($1461$⋝⋈⪟$5223$)%$2401$∑⇟⊟$1045$⪄$3251$⪄$6451$)","expression":"((⪎⋱⫍8A2+⪎⋱⫍1643)⨳⩥⨓(⨑⩽⪐⪎⋱⫍916))∀⇚≩(⪎⋱⫍636⋥≓≎⪎⋱⫍2B79↛⩡⫤)⨎((⪎⋱⫍786/⪎⋱⫍1145)⊴(⪎⋱⫍885⋝⋈⪟⪎⋱⫍24BA)%⪎⋱⫍1129∑⇟⊟⪎⋱⫍625⪄⪎⋱⫍1631⪄⪎⋱⫍2C23)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":78895,"operation_count":14,"complexity_ratio":5635.357142857143,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1484,"base":13},"right_expr":{"type":"numeric_atoms","value":3266,"base":13}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":1540,"base":13}}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1059,"base":13},"right_expr":{"type":"numeric_atoms","value":6353,"base":13}}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1293,"base":13},"right_expr":{"type":"numeric_atoms","value":2423,"base":13}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1461,"base":13},"right_expr":{"type":"numeric_atoms","value":5223,"base":13}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":2401,"base":13},"right_expr":{"type":"numeric_atoms","value":1045,"base":13}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":3251,"base":13},"right_expr":{"type":"numeric_atoms","value":6451,"base":13}}}}},"used_operators":["rJVOvQCfKK","LRNGc0VcxI","nCS4ZIUYfx","W4YGzv6Whe","AF7qkfDlqP","FU0Cs4j7VP","Qy55tPpLXF","k8jYdgA6NY","Nsiff2A1zJ","XhwjNDsVaA","2DDjHMKMc0","SUmda5xLS4","U7g4x0WXJJ"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","X99M06cbEe","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1484","layer":4},{"info":"number node, value=3266","layer":4},{"info":"compute binary expreesion, left_input=1484, right_input=3266, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4750","layer":3},{"info":"number node, value=1540","layer":4},{"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=-1267","layer":3},{"info":"compute binary expreesion, left_input=4750, right_input=-1267, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-6017","layer":2},{"info":"number node, value=1059","layer":4},{"info":"number node, value=6353","layer":4},{"info":"compute binary expreesion, left_input=1059, right_input=6353, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=11680","layer":3},{"info":"compute unary expreesion, input=11680, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-1759769","layer":2},{"info":"compute binary expreesion, left_input=-6017, right_input=-1759769, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=1293","layer":4},{"info":"number node, value=2423","layer":4},{"info":"compute binary expreesion, left_input=1293, right_input=2423, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=1461","layer":4},{"info":"number node, value=5223","layer":4},{"info":"compute binary expreesion, left_input=1461, right_input=5223, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1461","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1461, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=2401","layer":4},{"info":"number node, value=1045","layer":4},{"info":"compute binary expreesion, left_input=2401, right_input=1045, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=3251","layer":4},{"info":"number node, value=6451","layer":4},{"info":"compute binary expreesion, left_input=3251, right_input=6451, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-503041","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-503041, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=3979, op_id = k8jYdgA6NY binary_op_definition= 'None', 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":13,"result_base":13,"text":"((⪎⋱⫍8A2+⪎⋱⫍1643)⨳⩥⨓(⨑⩽⪐⪎⋱⫍916))∀⇚≩(⪎⋱⫍636⋥≓≎⪎⋱⫍2B79↛⩡⫤)⨎((⪎⋱⫍786/⪎⋱⫍1145)⊴(⪎⋱⫍885⋝⋈⪟⪎⋱⫍24BA)%⪎⋱⫍1129∑⇟⊟⪎⋱⫍625⪄⪎⋱⫍1631⪄⪎⋱⫍2C23)=NaN","reverse_text":"NaN=((⪎⋱⫍8A2+⪎⋱⫍1643)⨳⩥⨓(⨑⩽⪐⪎⋱⫍916))∀⇚≩(⪎⋱⫍636⋥≓≎⪎⋱⫍2B79↛⩡⫤)⨎((⪎⋱⫍786/⪎⋱⫍1145)⊴(⪎⋱⫍885⋝⋈⪟⪎⋱⫍24BA)%⪎⋱⫍1129∑⇟⊟⪎⋱⫍625⪄⪎⋱⫍1631⪄⪎⋱⫍2C23)","cot":[{"info":"⪎⋱⫍8A2+⪎⋱⫍1643=⪎⋱⫍2215","layer":3},{"info":"⨑⩽⪐⪎⋱⫍916=⪎⋱⫍-766","layer":3},{"info":"⪎⋱⫍2215⨳⩥⨓⪎⋱⫍-766=⪎⋱⫍-297B","layer":2},{"info":"⪎⋱⫍636⋥≓≎⪎⋱⫍2B79=⪎⋱⫍5416","layer":3},{"info":"⪎⋱⫍5416↛⩡⫤=⪎⋱⫍-497CAB","layer":2},{"info":"⪎⋱⫍-297B∀⇚≩⪎⋱⫍-497CAB=NaN","layer":1},{"info":"⪎⋱⫍786/⪎⋱⫍1145=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍885⋝⋈⪟⪎⋱⫍24BA=⪎⋱⫍885","layer":3},{"info":"⪎⋱⫍0⊴⪎⋱⫍885=NaN","layer":2},{"info":"⪎⋱⫍1129∑⇟⊟⪎⋱⫍625=NaN","layer":3},{"info":"⪎⋱⫍1631⪄⪎⋱⫍2C23=⪎⋱⫍-147C76","layer":3},{"info":"NaN⪄⪎⋱⫍-147C76=⪎⋱⫍1A71","layer":2},{"info":"NaN%⪎⋱⫍1A71=NaN","layer":1},{"info":"NaN⨎NaN=NaN","layer":0}]}
{"id":959,"expression_no_base_symbol":"(⨑⩽⪐($1204$⨵⪆$4003$))≎⊠⪸((∥⊫$1914$)⊉≛↸$2954$⫥∨⫟$3619$)%(↩($1349$%$9447$/(↥$5374$)))","expression":"(⨑⩽⪐(⪎⋱⫍718⨵⪆⪎⋱⫍1A8C))≎⊠⪸((∥⊫⪎⋱⫍B43)⊉≛↸⪎⋱⫍1463⫥∨⫟⪎⋱⫍1855)%(↩(⪎⋱⫍7CA%⪎⋱⫍43B9/(↥⪎⋱⫍25A5)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":495,"operation_count":11,"complexity_ratio":45.0,"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":1204,"base":13},"right_expr":{"type":"numeric_atoms","value":4003,"base":13}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":1914,"base":13}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2954,"base":13},"right_expr":{"type":"numeric_atoms","value":3619,"base":13}}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1349,"base":13},"right_expr":{"type":"numeric_atoms","value":9447,"base":13}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":5374,"base":13}}}}},"used_operators":["k8jYdgA6NY","bJkvcejdHO","AF7qkfDlqP","2DQ55sFlQl","DZ8iAZOCBD","P8v4zCKN1o","KYD54nUTWz","jLgFTUHLKL","XhwjNDsVaA","A8NUZmVepG"],"dependent_operators":["rysDP5nf3Z","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","k8jYdgA6NY"],"result":"⪎⋱⫍2C","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1204","layer":4},{"info":"number node, value=4003","layer":4},{"info":"compute binary expreesion, left_input=1204, right_input=4003, 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 = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=113","layer":2},{"info":"number node, value=1914","layer":4},{"info":"compute unary expreesion, input=1914, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2782","layer":3},{"info":"number node, value=2954","layer":4},{"info":"number node, value=3619","layer":4},{"info":"compute binary expreesion, left_input=2954, right_input=3619, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2782, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=5564","layer":2},{"info":"compute binary expreesion, left_input=113, right_input=5564, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=28794","layer":1},{"info":"number node, value=1349","layer":4},{"info":"number node, value=9447","layer":4},{"info":"compute binary expreesion, left_input=1349, right_input=9447, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1349","layer":3},{"info":"number node, value=5374","layer":4},{"info":"compute unary expreesion, input=5374, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=19","layer":3},{"info":"compute binary expreesion, left_input=1349, right_input=19, op_id = XhwjNDsVaA binary_op_definition= 'None', output=71","layer":2},{"info":"compute unary expreesion, input=71, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=2212","layer":1},{"info":"compute binary expreesion, left_input=28794, right_input=2212, op_id = k8jYdgA6NY binary_op_definition= 'None', output=38","layer":0}],"base":13,"result_base":13,"text":"(⨑⩽⪐(⪎⋱⫍718⨵⪆⪎⋱⫍1A8C))≎⊠⪸((∥⊫⪎⋱⫍B43)⊉≛↸⪎⋱⫍1463⫥∨⫟⪎⋱⫍1855)%(↩(⪎⋱⫍7CA%⪎⋱⫍43B9/(↥⪎⋱⫍25A5)))=⪎⋱⫍2C","reverse_text":"⪎⋱⫍2C=(⨑⩽⪐(⪎⋱⫍718⨵⪆⪎⋱⫍1A8C))≎⊠⪸((∥⊫⪎⋱⫍B43)⊉≛↸⪎⋱⫍1463⫥∨⫟⪎⋱⫍1855)%(↩(⪎⋱⫍7CA%⪎⋱⫍43B9/(↥⪎⋱⫍25A5)))","cot":[{"info":"⪎⋱⫍718⨵⪆⪎⋱⫍1A8C=⪎⋱⫍C4","layer":3},{"info":"⨑⩽⪐⪎⋱⫍C4=⪎⋱⫍89","layer":2},{"info":"∥⊫⪎⋱⫍B43=⪎⋱⫍1360","layer":3},{"info":"⪎⋱⫍1463⫥∨⫟⪎⋱⫍1855=NaN","layer":3},{"info":"⪎⋱⫍1360⊉≛↸NaN=⪎⋱⫍26C0","layer":2},{"info":"⪎⋱⫍89≎⊠⪸⪎⋱⫍26C0=⪎⋱⫍1014C","layer":1},{"info":"⪎⋱⫍7CA%⪎⋱⫍43B9=⪎⋱⫍7CA","layer":3},{"info":"↥⪎⋱⫍25A5=⪎⋱⫍16","layer":3},{"info":"⪎⋱⫍7CA/⪎⋱⫍16=⪎⋱⫍56","layer":2},{"info":"↩⪎⋱⫍56=⪎⋱⫍1012","layer":1},{"info":"⪎⋱⫍1014C%⪎⋱⫍1012=⪎⋱⫍2C","layer":0}]}
{"id":960,"expression_no_base_symbol":"(($1506$%$1561$)⪄($2496$⇼⇔∾$1023$))∀⇚≩($6023$⨵⪆$1346$⋷$1713$⨐⩸⫘$4891$)∑⇟⊟($1263$⋝⋈⪟$1389$⨎$1032$⪛$1210$⊉≛↸(⫓⪴$3644$)⩷∴$5794$∼$5533$)","expression":"((⪎⋱⫍8BB%⪎⋱⫍931)⪄(⪎⋱⫍11A0⇼⇔∾⪎⋱⫍609))∀⇚≩(⪎⋱⫍2984⨵⪆⪎⋱⫍7C7⋷⪎⋱⫍A1A⨐⩸⫘⪎⋱⫍22C3)∑⇟⊟(⪎⋱⫍762⋝⋈⪟⪎⋱⫍82B⨎⪎⋱⫍615⪛⪎⋱⫍721⊉≛↸(⫓⪴⪎⋱⫍1874)⩷∴⪎⋱⫍2839∼⪎⋱⫍2698)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1495472,"operation_count":15,"complexity_ratio":99698.13333333333,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1506,"base":13},"right_expr":{"type":"numeric_atoms","value":1561,"base":13}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2496,"base":13},"right_expr":{"type":"numeric_atoms","value":1023,"base":13}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":6023,"base":13},"right_expr":{"type":"numeric_atoms","value":1346,"base":13}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1713,"base":13},"right_expr":{"type":"numeric_atoms","value":4891,"base":13}}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1263,"base":13},"right_expr":{"type":"numeric_atoms","value":1389,"base":13}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1032,"base":13},"right_expr":{"type":"numeric_atoms","value":1210,"base":13}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":3644,"base":13}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":5794,"base":13},"right_expr":{"type":"numeric_atoms","value":5533,"base":13}}}}},"used_operators":["U7g4x0WXJJ","LRNGc0VcxI","SUmda5xLS4","k8jYdgA6NY","tifHPKVTfV","23Mk6UjR3U","2DQ55sFlQl","fu6greOZ01","DZ8iAZOCBD","rJVOvQCfKK","2DDjHMKMc0","uFcxV4UQCh","9FxExcQeMw","eLxqMNBOBk","DyGG3AbaNP"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","X99M06cbEe","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","9HNa5Wba9A","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1506","layer":4},{"info":"number node, value=1561","layer":4},{"info":"compute binary expreesion, left_input=1506, right_input=1561, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1506","layer":3},{"info":"number node, value=2496","layer":4},{"info":"number node, value=1023","layer":4},{"info":"compute binary expreesion, left_input=2496, right_input=1023, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-1473","layer":3},{"info":"compute binary expreesion, left_input=1506, right_input=-1473, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-213085","layer":2},{"info":"number node, value=6023","layer":4},{"info":"number node, value=1346","layer":4},{"info":"compute binary expreesion, left_input=6023, right_input=1346, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=1713","layer":4},{"info":"number node, value=4891","layer":4},{"info":"compute binary expreesion, left_input=1713, right_input=4891, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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 = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-320","layer":2},{"info":"compute binary expreesion, left_input=-213085, right_input=-320, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=1263","layer":4},{"info":"number node, value=1389","layer":4},{"info":"compute binary expreesion, left_input=1263, right_input=1389, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1263","layer":3},{"info":"number node, value=1032","layer":4},{"info":"number node, value=1210","layer":4},{"info":"compute binary expreesion, left_input=1032, right_input=1210, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1032","layer":3},{"info":"compute binary expreesion, left_input=1263, right_input=1032, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1032","layer":2},{"info":"number node, value=3644","layer":4},{"info":"compute unary expreesion, input=3644, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=13278736","layer":3},{"info":"number node, value=5794","layer":4},{"info":"number node, value=5533","layer":4},{"info":"compute binary expreesion, left_input=5794, right_input=5533, 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=13278736, 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=1032, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2064","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2064, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍8BB%⪎⋱⫍931)⪄(⪎⋱⫍11A0⇼⇔∾⪎⋱⫍609))∀⇚≩(⪎⋱⫍2984⨵⪆⪎⋱⫍7C7⋷⪎⋱⫍A1A⨐⩸⫘⪎⋱⫍22C3)∑⇟⊟(⪎⋱⫍762⋝⋈⪟⪎⋱⫍82B⨎⪎⋱⫍615⪛⪎⋱⫍721⊉≛↸(⫓⪴⪎⋱⫍1874)⩷∴⪎⋱⫍2839∼⪎⋱⫍2698)=NaN","reverse_text":"NaN=((⪎⋱⫍8BB%⪎⋱⫍931)⪄(⪎⋱⫍11A0⇼⇔∾⪎⋱⫍609))∀⇚≩(⪎⋱⫍2984⨵⪆⪎⋱⫍7C7⋷⪎⋱⫍A1A⨐⩸⫘⪎⋱⫍22C3)∑⇟⊟(⪎⋱⫍762⋝⋈⪟⪎⋱⫍82B⨎⪎⋱⫍615⪛⪎⋱⫍721⊉≛↸(⫓⪴⪎⋱⫍1874)⩷∴⪎⋱⫍2839∼⪎⋱⫍2698)","cot":[{"info":"⪎⋱⫍8BB%⪎⋱⫍931=⪎⋱⫍8BB","layer":3},{"info":"⪎⋱⫍11A0⇼⇔∾⪎⋱⫍609=⪎⋱⫍-894","layer":3},{"info":"⪎⋱⫍8BB⪄⪎⋱⫍-894=⪎⋱⫍-75CB2","layer":2},{"info":"⪎⋱⫍2984⨵⪆⪎⋱⫍7C7=⪎⋱⫍C4","layer":3},{"info":"⪎⋱⫍A1A⨐⩸⫘⪎⋱⫍22C3=NaN","layer":3},{"info":"⪎⋱⫍C4⋷NaN=⪎⋱⫍-1B8","layer":2},{"info":"⪎⋱⫍-75CB2∀⇚≩⪎⋱⫍-1B8=NaN","layer":1},{"info":"⪎⋱⫍762⋝⋈⪟⪎⋱⫍82B=⪎⋱⫍762","layer":3},{"info":"⪎⋱⫍615⪛⪎⋱⫍721=⪎⋱⫍615","layer":3},{"info":"⪎⋱⫍762⨎⪎⋱⫍615=⪎⋱⫍615","layer":2},{"info":"⫓⪴⪎⋱⫍1874=⪎⋱⫍299C053","layer":3},{"info":"⪎⋱⫍2839∼⪎⋱⫍2698=NaN","layer":3},{"info":"⪎⋱⫍299C053⩷∴NaN=NaN","layer":2},{"info":"⪎⋱⫍615⊉≛↸NaN=⪎⋱⫍C2A","layer":1},{"info":"NaN∑⇟⊟⪎⋱⫍C2A=NaN","layer":0}]}
{"id":961,"expression_no_base_symbol":"((($2062$⪄$5831$)⋥≓≎$1195$⪘⫢$1050$)⨰($3587$⋷$7410$⨵⪆(↣≠⋷$1397$)))≹⇙⪍((↔($1424$⪛$8033$))⫸⊐($2459$≫≃)⋝⋈⪟($3564$∲⫓$3785$))","expression":"(((⪎⋱⫍C28⪄⪎⋱⫍2867)⋥≓≎⪎⋱⫍70C⪘⫢⪎⋱⫍62A)⨰(⪎⋱⫍182C⋷⪎⋱⫍34B0⨵⪆(↣≠⋷⪎⋱⫍836)))≹⇙⪍((↔(⪎⋱⫍857⪛⪎⋱⫍386C))⫸⊐(⪎⋱⫍1172≫≃)⋝⋈⪟(⪎⋱⫍1812∲⫓⪎⋱⫍1952))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":937305,"operation_count":14,"complexity_ratio":66950.35714285714,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2062,"base":13},"right_expr":{"type":"numeric_atoms","value":5831,"base":13}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1195,"base":13},"right_expr":{"type":"numeric_atoms","value":1050,"base":13}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":3587,"base":13},"right_expr":{"type":"numeric_atoms","value":7410,"base":13}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1397,"base":13}}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1424,"base":13},"right_expr":{"type":"numeric_atoms","value":8033,"base":13}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":2459,"base":13}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":3564,"base":13},"right_expr":{"type":"numeric_atoms","value":3785,"base":13}}}}},"used_operators":["AHs5Up7iyr","eewbuw0ToL","Qy55tPpLXF","SUmda5xLS4","oacrs7FA3X","2DQ55sFlQl","23Mk6UjR3U","Asc51vEJeQ","mqXw5SEYmG","ruOEQAzv1W","uFcxV4UQCh","2DDjHMKMc0","X99M06cbEe","i8ToyICDmI"],"dependent_operators":["dWAJyo7jo9","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2062","layer":4},{"info":"number node, value=5831","layer":4},{"info":"compute binary expreesion, left_input=2062, right_input=5831, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-324589","layer":3},{"info":"number node, value=1195","layer":4},{"info":"number node, value=1050","layer":4},{"info":"compute binary expreesion, left_input=1195, right_input=1050, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2266","layer":3},{"info":"compute binary expreesion, left_input=-324589, right_input=2266, 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=3587","layer":4},{"info":"number node, value=7410","layer":4},{"info":"compute binary expreesion, left_input=3587, right_input=7410, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=11233","layer":3},{"info":"number node, value=1397","layer":4},{"info":"compute unary expreesion, input=1397, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=11233, 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=67, right_input=160, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-83","layer":1},{"info":"number node, value=1424","layer":4},{"info":"number node, value=8033","layer":4},{"info":"compute binary expreesion, left_input=1424, right_input=8033, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1424","layer":3},{"info":"compute unary expreesion, input=1424, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-1151","layer":2},{"info":"number node, value=2459","layer":4},{"info":"compute unary expreesion, input=2459, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=6319","layer":3},{"info":"number node, value=3564","layer":4},{"info":"number node, value=3785","layer":4},{"info":"compute binary expreesion, left_input=3564, right_input=3785, 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=6319, right_input=0, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=6319","layer":2},{"info":"compute binary expreesion, left_input=-1151, right_input=6319, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=968","layer":1},{"info":"compute binary expreesion, left_input=-83, right_input=968, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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":13,"result_base":13,"text":"(((⪎⋱⫍C28⪄⪎⋱⫍2867)⋥≓≎⪎⋱⫍70C⪘⫢⪎⋱⫍62A)⨰(⪎⋱⫍182C⋷⪎⋱⫍34B0⨵⪆(↣≠⋷⪎⋱⫍836)))≹⇙⪍((↔(⪎⋱⫍857⪛⪎⋱⫍386C))⫸⊐(⪎⋱⫍1172≫≃)⋝⋈⪟(⪎⋱⫍1812∲⫓⪎⋱⫍1952))=NaN","reverse_text":"NaN=(((⪎⋱⫍C28⪄⪎⋱⫍2867)⋥≓≎⪎⋱⫍70C⪘⫢⪎⋱⫍62A)⨰(⪎⋱⫍182C⋷⪎⋱⫍34B0⨵⪆(↣≠⋷⪎⋱⫍836)))≹⇙⪍((↔(⪎⋱⫍857⪛⪎⋱⫍386C))⫸⊐(⪎⋱⫍1172≫≃)⋝⋈⪟(⪎⋱⫍1812∲⫓⪎⋱⫍1952))","cot":[{"info":"⪎⋱⫍C28⪄⪎⋱⫍2867=⪎⋱⫍-B4985","layer":3},{"info":"⪎⋱⫍70C⪘⫢⪎⋱⫍62A=⪎⋱⫍1054","layer":3},{"info":"⪎⋱⫍-B4985⋥≓≎⪎⋱⫍1054=⪎⋱⫍52","layer":2},{"info":"⪎⋱⫍182C⋷⪎⋱⫍34B0=⪎⋱⫍5161","layer":3},{"info":"↣≠⋷⪎⋱⫍836=NaN","layer":3},{"info":"⪎⋱⫍5161⨵⪆NaN=⪎⋱⫍C4","layer":2},{"info":"⪎⋱⫍52⨰⪎⋱⫍C4=⪎⋱⫍-65","layer":1},{"info":"⪎⋱⫍857⪛⪎⋱⫍386C=⪎⋱⫍857","layer":3},{"info":"↔⪎⋱⫍857=⪎⋱⫍-6A7","layer":2},{"info":"⪎⋱⫍1172≫≃=⪎⋱⫍2B51","layer":3},{"info":"⪎⋱⫍1812∲⫓⪎⋱⫍1952=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍2B51⋝⋈⪟⪎⋱⫍0=⪎⋱⫍2B51","layer":2},{"info":"⪎⋱⫍-6A7⫸⊐⪎⋱⫍2B51=⪎⋱⫍596","layer":1},{"info":"⪎⋱⫍-65≹⇙⪍⪎⋱⫍596=NaN","layer":0}]}
{"id":962,"expression_no_base_symbol":"($4008$⩚⊴⇥$1731$)⨪↰⇹($1747$∲⫓$1022$)⋳⪒(⊥($4338$⨁⊸⫻))⪒(($1470$⨟⋌⩍$1575$↺$5838$⇷$4177$)⩤)","expression":"(⪎⋱⫍1A94⩚⊴⇥⪎⋱⫍A32)⨪↰⇹(⪎⋱⫍A45∲⫓⪎⋱⫍608)⋳⪒(⊥(⪎⋱⫍1C89⨁⊸⫻))⪒((⪎⋱⫍891⨟⋌⩍⪎⋱⫍942↺⪎⋱⫍2871⇷⪎⋱⫍1B94)⩤)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":87619,"operation_count":11,"complexity_ratio":7965.363636363636,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":4008,"base":13},"right_expr":{"type":"numeric_atoms","value":1731,"base":13}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1747,"base":13},"right_expr":{"type":"numeric_atoms","value":1022,"base":13}}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":4338,"base":13}}}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1470,"base":13},"right_expr":{"type":"numeric_atoms","value":1575,"base":13}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":5838,"base":13},"right_expr":{"type":"numeric_atoms","value":4177,"base":13}}}}},"used_operators":["f6k1SAg4EE","12rbrZMWeM","tmPS8pqC7x","NTOWxs364D","i8ToyICDmI","Q3PJZHRvZv","glklzrTFfD","Z2TMIBDE3Q","7j4O788W3g","rGHVDoGpnC","mp7IySMOzn"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","fu6greOZ01","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4008","layer":4},{"info":"number node, value=1731","layer":4},{"info":"compute binary expreesion, left_input=4008, right_input=1731, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-5860","layer":3},{"info":"number node, value=1747","layer":4},{"info":"number node, value=1022","layer":4},{"info":"compute binary expreesion, left_input=1747, right_input=1022, 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=-5860, 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=-5860","layer":2},{"info":"number node, value=4338","layer":4},{"info":"compute unary expreesion, input=4338, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=4338","layer":3},{"info":"compute unary expreesion, input=4338, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-5860, 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=1470","layer":4},{"info":"number node, value=1575","layer":4},{"info":"compute binary expreesion, left_input=1470, right_input=1575, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=5838","layer":4},{"info":"number node, value=4177","layer":4},{"info":"compute binary expreesion, left_input=5838, right_input=4177, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=8354","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=8354, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=8354","layer":2},{"info":"compute unary expreesion, input=8354, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-8354","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-8354, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍1A94⩚⊴⇥⪎⋱⫍A32)⨪↰⇹(⪎⋱⫍A45∲⫓⪎⋱⫍608)⋳⪒(⊥(⪎⋱⫍1C89⨁⊸⫻))⪒((⪎⋱⫍891⨟⋌⩍⪎⋱⫍942↺⪎⋱⫍2871⇷⪎⋱⫍1B94)⩤)=NaN","reverse_text":"NaN=(⪎⋱⫍1A94⩚⊴⇥⪎⋱⫍A32)⨪↰⇹(⪎⋱⫍A45∲⫓⪎⋱⫍608)⋳⪒(⊥(⪎⋱⫍1C89⨁⊸⫻))⪒((⪎⋱⫍891⨟⋌⩍⪎⋱⫍942↺⪎⋱⫍2871⇷⪎⋱⫍1B94)⩤)","cot":[{"info":"⪎⋱⫍1A94⩚⊴⇥⪎⋱⫍A32=⪎⋱⫍-288A","layer":3},{"info":"⪎⋱⫍A45∲⫓⪎⋱⫍608=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍-288A⨪↰⇹⪎⋱⫍0=⪎⋱⫍-288A","layer":2},{"info":"⪎⋱⫍1C89⨁⊸⫻=⪎⋱⫍1C89","layer":3},{"info":"⊥⪎⋱⫍1C89=NaN","layer":2},{"info":"⪎⋱⫍-288A⋳⪒NaN=NaN","layer":1},{"info":"⪎⋱⫍891⨟⋌⩍⪎⋱⫍942=NaN","layer":3},{"info":"⪎⋱⫍2871⇷⪎⋱⫍1B94=⪎⋱⫍3A58","layer":3},{"info":"NaN↺⪎⋱⫍3A58=⪎⋱⫍3A58","layer":2},{"info":"⪎⋱⫍3A58⩤=⪎⋱⫍-3A58","layer":1},{"info":"NaN⪒⪎⋱⫍-3A58=NaN","layer":0}]}
{"id":963,"expression_no_base_symbol":"($1845$⋓$1039$↺$4473$+⇶⊼$3348$)≹⇙⪍(⋗⩬⋾$7585$∑⇟⊟$1032$)⫸⊐(⋗⩬⋾($1866$⨵⪆$1194$⨵⪆$2457$⩚⊴⇥$1015$))","expression":"(⪎⋱⫍ABC⋓⪎⋱⫍61C↺⪎⋱⫍2061+⇶⊼⪎⋱⫍16A7)≹⇙⪍(⋗⩬⋾⪎⋱⫍35B6∑⇟⊟⪎⋱⫍615)⫸⊐(⋗⩬⋾(⪎⋱⫍B07⨵⪆⪎⋱⫍70B⨵⪆⪎⋱⫍1170⩚⊴⇥⪎⋱⫍601))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":33,"operation_count":11,"complexity_ratio":3.0,"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":1845,"base":13},"right_expr":{"type":"numeric_atoms","value":1039,"base":13}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":4473,"base":13},"right_expr":{"type":"numeric_atoms","value":3348,"base":13}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":7585,"base":13},"right_expr":{"type":"numeric_atoms","value":1032,"base":13}}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1866,"base":13},"right_expr":{"type":"numeric_atoms","value":1194,"base":13}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2457,"base":13},"right_expr":{"type":"numeric_atoms","value":1015,"base":13}}}}},"used_operators":["mqXw5SEYmG","AHs5Up7iyr","7j4O788W3g","T2fj7uvVaJ","TpPTUOHfaN","DpFCA1CohY","U7g4x0WXJJ","2DQ55sFlQl","NTOWxs364D"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1845","layer":4},{"info":"number node, value=1039","layer":4},{"info":"compute binary expreesion, left_input=1845, right_input=1039, op_id = T2fj7uvVaJ binary_op_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=4473","layer":4},{"info":"number node, value=3348","layer":4},{"info":"compute binary expreesion, left_input=4473, right_input=3348, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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 = 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=7585","layer":4},{"info":"number node, value=1032","layer":4},{"info":"compute binary expreesion, left_input=7585, right_input=1032, 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 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=1866","layer":4},{"info":"number node, value=1194","layer":4},{"info":"compute binary expreesion, left_input=1866, right_input=1194, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=2457","layer":4},{"info":"number node, value=1015","layer":4},{"info":"compute binary expreesion, left_input=2457, right_input=1015, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3593","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-3593, 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 = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-480","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-480, 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":13,"result_base":13,"text":"(⪎⋱⫍ABC⋓⪎⋱⫍61C↺⪎⋱⫍2061+⇶⊼⪎⋱⫍16A7)≹⇙⪍(⋗⩬⋾⪎⋱⫍35B6∑⇟⊟⪎⋱⫍615)⫸⊐(⋗⩬⋾(⪎⋱⫍B07⨵⪆⪎⋱⫍70B⨵⪆⪎⋱⫍1170⩚⊴⇥⪎⋱⫍601))=NaN","reverse_text":"NaN=(⪎⋱⫍ABC⋓⪎⋱⫍61C↺⪎⋱⫍2061+⇶⊼⪎⋱⫍16A7)≹⇙⪍(⋗⩬⋾⪎⋱⫍35B6∑⇟⊟⪎⋱⫍615)⫸⊐(⋗⩬⋾(⪎⋱⫍B07⨵⪆⪎⋱⫍70B⨵⪆⪎⋱⫍1170⩚⊴⇥⪎⋱⫍601))","cot":[{"info":"⪎⋱⫍ABC⋓⪎⋱⫍61C=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍2061+⇶⊼⪎⋱⫍16A7=NaN","layer":3},{"info":"⪎⋱⫍0↺NaN=NaN","layer":2},{"info":"⪎⋱⫍35B6∑⇟⊟⪎⋱⫍615=NaN","layer":3},{"info":"⋗⩬⋾NaN=NaN","layer":2},{"info":"NaN≹⇙⪍NaN=NaN","layer":1},{"info":"⪎⋱⫍B07⨵⪆⪎⋱⫍70B=⪎⋱⫍C4","layer":3},{"info":"⪎⋱⫍1170⩚⊴⇥⪎⋱⫍601=⪎⋱⫍-1835","layer":3},{"info":"⪎⋱⫍C4⨵⪆⪎⋱⫍-1835=⪎⋱⫍C4","layer":2},{"info":"⋗⩬⋾⪎⋱⫍C4=⪎⋱⫍-2AC","layer":1},{"info":"NaN⫸⊐⪎⋱⫍-2AC=NaN","layer":0}]}
{"id":964,"expression_no_base_symbol":"⪝⪂⫅(↣≠⋷((↯⪼$3208$)⨰(⇁⨣⪵$3612$)))","expression":"⪝⪂⫅(↣≠⋷((↯⪼⪎⋱⫍15CA)⨰(⇁⨣⪵⪎⋱⫍184B)))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":45,"operation_count":5,"complexity_ratio":9.0,"tree":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":3208,"base":13}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":3612,"base":13}}}}},"used_operators":["XTarYq4gQB","Asc51vEJeQ","eewbuw0ToL","8jW3W4yZS5","inkyxCbjAn"],"dependent_operators":["9HNa5Wba9A","8w2t5hMYqp","XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","B5M0gjZbta"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=3208","layer":4},{"info":"compute unary expreesion, input=3208, 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=3612","layer":4},{"info":"compute unary expreesion, input=3612, 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 = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', 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 = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⪝⪂⫅(↣≠⋷((↯⪼⪎⋱⫍15CA)⨰(⇁⨣⪵⪎⋱⫍184B)))=NaN","reverse_text":"NaN=⪝⪂⫅(↣≠⋷((↯⪼⪎⋱⫍15CA)⨰(⇁⨣⪵⪎⋱⫍184B)))","cot":[{"info":"↯⪼⪎⋱⫍15CA=⪎⋱⫍-18","layer":3},{"info":"⇁⨣⪵⪎⋱⫍184B=NaN","layer":3},{"info":"⪎⋱⫍-18⨰NaN=NaN","layer":2},{"info":"↣≠⋷NaN=NaN","layer":1},{"info":"⪝⪂⫅NaN=NaN","layer":0}]}
{"id":965,"expression_no_base_symbol":"(⫛⫱⨽((≤/$3871$)⋝⋈⪟(⨑⩽⪐$1925$)))⊉≛↸(≦∁$2837$⨪↰⇹$1086$⫸⊐$5578$↬$3209$)","expression":"(⫛⫱⨽((≤/⪎⋱⫍19BA)⋝⋈⪟(⨑⩽⪐⪎⋱⫍B51)))⊉≛↸(≦∁⪎⋱⫍13A3⨪↰⇹⪎⋱⫍657⫸⊐⪎⋱⫍2701↬⪎⋱⫍15CB)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":4293,"operation_count":9,"complexity_ratio":477.0,"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":3871,"base":13}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":1925,"base":13}}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2837,"base":13},"right_expr":{"type":"numeric_atoms","value":1086,"base":13}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":5578,"base":13},"right_expr":{"type":"numeric_atoms","value":3209,"base":13}}}}},"used_operators":["DZ8iAZOCBD","DlLNRPXxWL","2DDjHMKMc0","eLAdDNolq6","AF7qkfDlqP","9ICcGScMcE","mqXw5SEYmG","tmPS8pqC7x","B5M0gjZbta"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rJVOvQCfKK","rGHVDoGpnC"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3871","layer":4},{"info":"compute unary expreesion, input=3871, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-3387","layer":3},{"info":"number node, value=1925","layer":4},{"info":"compute unary expreesion, input=1925, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-1652","layer":3},{"info":"compute binary expreesion, left_input=-3387, right_input=-1652, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-3387","layer":2},{"info":"compute unary expreesion, input=-3387, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":1},{"info":"number node, value=2837","layer":4},{"info":"number node, value=1086","layer":4},{"info":"compute binary expreesion, left_input=2837, right_input=1086, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=2837","layer":3},{"info":"number node, value=5578","layer":4},{"info":"number node, value=3209","layer":4},{"info":"compute binary expreesion, left_input=5578, right_input=3209, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=2837, 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 = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=0","layer":0}],"base":13,"result_base":13,"text":"(⫛⫱⨽((≤/⪎⋱⫍19BA)⋝⋈⪟(⨑⩽⪐⪎⋱⫍B51)))⊉≛↸(≦∁⪎⋱⫍13A3⨪↰⇹⪎⋱⫍657⫸⊐⪎⋱⫍2701↬⪎⋱⫍15CB)=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=(⫛⫱⨽((≤/⪎⋱⫍19BA)⋝⋈⪟(⨑⩽⪐⪎⋱⫍B51)))⊉≛↸(≦∁⪎⋱⫍13A3⨪↰⇹⪎⋱⫍657⫸⊐⪎⋱⫍2701↬⪎⋱⫍15CB)","cot":[{"info":"≤/⪎⋱⫍19BA=⪎⋱⫍-1707","layer":3},{"info":"⨑⩽⪐⪎⋱⫍B51=⪎⋱⫍-9A1","layer":3},{"info":"⪎⋱⫍-1707⋝⋈⪟⪎⋱⫍-9A1=⪎⋱⫍-1707","layer":2},{"info":"⫛⫱⨽⪎⋱⫍-1707=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍13A3⨪↰⇹⪎⋱⫍657=⪎⋱⫍13A3","layer":3},{"info":"⪎⋱⫍2701↬⪎⋱⫍15CB=NaN","layer":3},{"info":"⪎⋱⫍13A3⫸⊐NaN=NaN","layer":2},{"info":"≦∁NaN=NaN","layer":1},{"info":"⪎⋱⫍0⊉≛↸NaN=⪎⋱⫍0","layer":0}]}
{"id":966,"expression_no_base_symbol":"((∥⊫$3831$+⇶⊼$1338$)⫡⨏$2024$⨰$2557$↙$3570$∑⇟⊟$2455$)⨎((↽≂$4726$)≧⫂∧$3267$∑⇟⊟$5870$⨵⪆(($4994$⇋≉)⫌⩹⨱))","expression":"((∥⊫⪎⋱⫍1989+⇶⊼⪎⋱⫍7BC)⫡⨏⪎⋱⫍BC9⨰⪎⋱⫍1219↙⪎⋱⫍1818∑⇟⊟⪎⋱⫍116B)⨎((↽≂⪎⋱⫍21C7)≧⫂∧⪎⋱⫍1644∑⇟⊟⪎⋱⫍2897⨵⪆((⪎⋱⫍2372⇋≉)⫌⩹⨱))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":36,"operation_count":13,"complexity_ratio":2.769230769230769,"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":3831,"base":13},"right_expr":{"type":"numeric_atoms","value":1338,"base":13}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2024,"base":13},"right_expr":{"type":"numeric_atoms","value":2557,"base":13}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":3570,"base":13},"right_expr":{"type":"numeric_atoms","value":2455,"base":13}}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":4726,"base":13}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":3267,"base":13},"right_expr":{"type":"numeric_atoms","value":5870,"base":13}}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":4994,"base":13}}}}},"used_operators":["rJVOvQCfKK","QMFrweE19q","P8v4zCKN1o","TpPTUOHfaN","yyfyN0ffXY","eewbuw0ToL","U7g4x0WXJJ","2DQ55sFlQl","Ph9nP6C5qx","u6S6b8DprG","EBcxylXtPf","XIabStNQrY"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍C4","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3831","layer":4},{"info":"number node, value=1338","layer":4},{"info":"compute binary expreesion, left_input=3831, right_input=1338, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=nan","layer":2},{"info":"number node, value=2024","layer":4},{"info":"number node, value=2557","layer":4},{"info":"compute binary expreesion, left_input=2024, right_input=2557, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-523","layer":3},{"info":"number node, value=3570","layer":4},{"info":"number node, value=2455","layer":4},{"info":"compute binary expreesion, left_input=3570, right_input=2455, 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=-523, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-523","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-523, op_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=4726","layer":4},{"info":"compute unary expreesion, input=4726, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-9452","layer":3},{"info":"number node, value=3267","layer":4},{"info":"number node, value=5870","layer":4},{"info":"compute binary expreesion, left_input=3267, right_input=5870, 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=-9452, 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=4994","layer":4},{"info":"compute unary expreesion, input=4994, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=9890","layer":3},{"info":"compute unary expreesion, input=9890, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=21181","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=21181, 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 = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=160","layer":0}],"base":13,"result_base":13,"text":"((∥⊫⪎⋱⫍1989+⇶⊼⪎⋱⫍7BC)⫡⨏⪎⋱⫍BC9⨰⪎⋱⫍1219↙⪎⋱⫍1818∑⇟⊟⪎⋱⫍116B)⨎((↽≂⪎⋱⫍21C7)≧⫂∧⪎⋱⫍1644∑⇟⊟⪎⋱⫍2897⨵⪆((⪎⋱⫍2372⇋≉)⫌⩹⨱))=⪎⋱⫍C4","reverse_text":"⪎⋱⫍C4=((∥⊫⪎⋱⫍1989+⇶⊼⪎⋱⫍7BC)⫡⨏⪎⋱⫍BC9⨰⪎⋱⫍1219↙⪎⋱⫍1818∑⇟⊟⪎⋱⫍116B)⨎((↽≂⪎⋱⫍21C7)≧⫂∧⪎⋱⫍1644∑⇟⊟⪎⋱⫍2897⨵⪆((⪎⋱⫍2372⇋≉)⫌⩹⨱))","cot":[{"info":"⪎⋱⫍1989+⇶⊼⪎⋱⫍7BC=NaN","layer":3},{"info":"∥⊫NaN=NaN","layer":2},{"info":"⪎⋱⫍BC9⨰⪎⋱⫍1219=⪎⋱⫍-313","layer":3},{"info":"⪎⋱⫍1818∑⇟⊟⪎⋱⫍116B=NaN","layer":3},{"info":"⪎⋱⫍-313↙NaN=⪎⋱⫍-313","layer":2},{"info":"NaN⫡⨏⪎⋱⫍-313=NaN","layer":1},{"info":"↽≂⪎⋱⫍21C7=⪎⋱⫍-43C1","layer":3},{"info":"⪎⋱⫍1644∑⇟⊟⪎⋱⫍2897=NaN","layer":3},{"info":"⪎⋱⫍-43C1≧⫂∧NaN=NaN","layer":2},{"info":"⪎⋱⫍2372⇋≉=⪎⋱⫍466A","layer":3},{"info":"⪎⋱⫍466A⫌⩹⨱=⪎⋱⫍9844","layer":2},{"info":"NaN⨵⪆⪎⋱⫍9844=⪎⋱⫍C4","layer":1},{"info":"NaN⨎⪎⋱⫍C4=⪎⋱⫍C4","layer":0}]}
{"id":967,"expression_no_base_symbol":"(∥⊫$2053$)∑⇟⊟($2565$↺$6451$)⪒($2001$⊉≛↸$2058$)≎⊠⪸($4502$∲⫓$4539$)⨵⪆($1179$⨪↰⇹$4742$)⊴($1714$*$4991$)⋳⪒((⨞⊢$2672$)⫥∨⫟($2674$⫥∨⫟$2201$))","expression":"(∥⊫⪎⋱⫍C1C)∑⇟⊟(⪎⋱⫍1224↺⪎⋱⫍2C23)⪒(⪎⋱⫍BAC⊉≛↸⪎⋱⫍C24)≎⊠⪸(⪎⋱⫍2084∲⫓⪎⋱⫍20B2)⨵⪆(⪎⋱⫍6C9⨪↰⇹⪎⋱⫍220A)⊴(⪎⋱⫍A1B*⪎⋱⫍236C)⋳⪒((⨞⊢⪎⋱⫍12A7)⫥∨⫟(⪎⋱⫍12A9⫥∨⫟⪎⋱⫍1004))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":3502,"operation_count":15,"complexity_ratio":233.46666666666667,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":2053,"base":13}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2565,"base":13},"right_expr":{"type":"numeric_atoms","value":6451,"base":13}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2001,"base":13},"right_expr":{"type":"numeric_atoms","value":2058,"base":13}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":4502,"base":13},"right_expr":{"type":"numeric_atoms","value":4539,"base":13}}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1179,"base":13},"right_expr":{"type":"numeric_atoms","value":4742,"base":13}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1714,"base":13},"right_expr":{"type":"numeric_atoms","value":4991,"base":13}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":2672,"base":13}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2674,"base":13},"right_expr":{"type":"numeric_atoms","value":2201,"base":13}}}}},"used_operators":["2DQ55sFlQl","f6k1SAg4EE","U7g4x0WXJJ","P8v4zCKN1o","7j4O788W3g","bJkvcejdHO","DZ8iAZOCBD","i8ToyICDmI","12rbrZMWeM","Nsiff2A1zJ","tmPS8pqC7x","9HNa5Wba9A","KYD54nUTWz","xUOZtlo3hN"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","rJVOvQCfKK","W4YGzv6Whe","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍C4","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2053","layer":4},{"info":"compute unary expreesion, input=2053, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2921","layer":3},{"info":"number node, value=2565","layer":4},{"info":"number node, value=6451","layer":4},{"info":"compute binary expreesion, left_input=2565, right_input=6451, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=6451","layer":3},{"info":"compute binary expreesion, left_input=2921, right_input=6451, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=2001","layer":4},{"info":"number node, value=2058","layer":4},{"info":"compute binary expreesion, left_input=2001, right_input=2058, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=4002","layer":3},{"info":"number node, value=4502","layer":4},{"info":"number node, value=4539","layer":4},{"info":"compute binary expreesion, left_input=4502, right_input=4539, 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=4002, right_input=0, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1036045","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1036045, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":1},{"info":"number node, value=1179","layer":4},{"info":"number node, value=4742","layer":4},{"info":"compute binary expreesion, left_input=1179, right_input=4742, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1179","layer":3},{"info":"number node, value=1714","layer":4},{"info":"number node, value=4991","layer":4},{"info":"compute binary expreesion, left_input=1714, right_input=4991, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=8554574","layer":3},{"info":"compute binary expreesion, left_input=1179, right_input=8554574, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=2672","layer":4},{"info":"compute unary expreesion, input=2672, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-2846","layer":3},{"info":"number node, value=2674","layer":4},{"info":"number node, value=2201","layer":4},{"info":"compute binary expreesion, left_input=2674, right_input=2201, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-2846, 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 = 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 = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":13,"result_base":13,"text":"(∥⊫⪎⋱⫍C1C)∑⇟⊟(⪎⋱⫍1224↺⪎⋱⫍2C23)⪒(⪎⋱⫍BAC⊉≛↸⪎⋱⫍C24)≎⊠⪸(⪎⋱⫍2084∲⫓⪎⋱⫍20B2)⨵⪆(⪎⋱⫍6C9⨪↰⇹⪎⋱⫍220A)⊴(⪎⋱⫍A1B*⪎⋱⫍236C)⋳⪒((⨞⊢⪎⋱⫍12A7)⫥∨⫟(⪎⋱⫍12A9⫥∨⫟⪎⋱⫍1004))=⪎⋱⫍C4","reverse_text":"⪎⋱⫍C4=(∥⊫⪎⋱⫍C1C)∑⇟⊟(⪎⋱⫍1224↺⪎⋱⫍2C23)⪒(⪎⋱⫍BAC⊉≛↸⪎⋱⫍C24)≎⊠⪸(⪎⋱⫍2084∲⫓⪎⋱⫍20B2)⨵⪆(⪎⋱⫍6C9⨪↰⇹⪎⋱⫍220A)⊴(⪎⋱⫍A1B*⪎⋱⫍236C)⋳⪒((⨞⊢⪎⋱⫍12A7)⫥∨⫟(⪎⋱⫍12A9⫥∨⫟⪎⋱⫍1004))","cot":[{"info":"∥⊫⪎⋱⫍C1C=⪎⋱⫍1439","layer":3},{"info":"⪎⋱⫍1224↺⪎⋱⫍2C23=⪎⋱⫍2C23","layer":3},{"info":"⪎⋱⫍1439∑⇟⊟⪎⋱⫍2C23=NaN","layer":2},{"info":"⪎⋱⫍BAC⊉≛↸⪎⋱⫍C24=⪎⋱⫍1A8B","layer":3},{"info":"⪎⋱⫍2084∲⫓⪎⋱⫍20B2=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍1A8B≎⊠⪸⪎⋱⫍0=⪎⋱⫍2A375A","layer":2},{"info":"NaN⪒⪎⋱⫍2A375A=NaN","layer":1},{"info":"⪎⋱⫍6C9⨪↰⇹⪎⋱⫍220A=⪎⋱⫍6C9","layer":3},{"info":"⪎⋱⫍A1B*⪎⋱⫍236C=⪎⋱⫍1A069A2","layer":3},{"info":"⪎⋱⫍6C9⊴⪎⋱⫍1A069A2=NaN","layer":2},{"info":"⨞⊢⪎⋱⫍12A7=⪎⋱⫍-13AC","layer":3},{"info":"⪎⋱⫍12A9⫥∨⫟⪎⋱⫍1004=NaN","layer":3},{"info":"⪎⋱⫍-13AC⫥∨⫟NaN=NaN","layer":2},{"info":"NaN⋳⪒NaN=NaN","layer":1},{"info":"NaN⨵⪆NaN=⪎⋱⫍C4","layer":0}]}
{"id":968,"expression_no_base_symbol":"((($1010$⫡⨏$2606$)⪒$2190$⨪↰⇹$1352$)⇋≉)⇷($1709$⪢$4553$≋⫹)⨪↰⇹(($1548$⨵⪆$1363$)⨳⩥⨓($3131$∧))","expression":"(((⪎⋱⫍5C9⫡⨏⪎⋱⫍1256)⪒⪎⋱⫍CC6⨪↰⇹⪎⋱⫍800)⇋≉)⇷(⪎⋱⫍A16⪢⪎⋱⫍20C3≋⫹)⨪↰⇹((⪎⋱⫍921⨵⪆⪎⋱⫍80B)⨳⩥⨓(⪎⋱⫍156B∧))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":378728,"operation_count":11,"complexity_ratio":34429.818181818184,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1010,"base":13},"right_expr":{"type":"numeric_atoms","value":2606,"base":13}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2190,"base":13},"right_expr":{"type":"numeric_atoms","value":1352,"base":13}}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1709,"base":13},"right_expr":{"type":"numeric_atoms","value":4553,"base":13}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1548,"base":13},"right_expr":{"type":"numeric_atoms","value":1363,"base":13}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":3131,"base":13}}}}},"used_operators":["mp7IySMOzn","XIabStNQrY","f6k1SAg4EE","QMFrweE19q","tmPS8pqC7x","N41Kp7NANJ","dWAJyo7jo9","nCS4ZIUYfx","2DQ55sFlQl","z63VuFQld9"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1010","layer":4},{"info":"number node, value=2606","layer":4},{"info":"compute binary expreesion, left_input=1010, right_input=2606, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=11045","layer":3},{"info":"number node, value=2190","layer":4},{"info":"number node, value=1352","layer":4},{"info":"compute binary expreesion, left_input=2190, right_input=1352, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=2190","layer":3},{"info":"compute binary expreesion, left_input=11045, right_input=2190, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-13235","layer":2},{"info":"compute unary expreesion, input=-13235, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=-26568","layer":1},{"info":"number node, value=1709","layer":4},{"info":"number node, value=4553","layer":4},{"info":"compute binary expreesion, left_input=1709, right_input=4553, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=nan","layer":2},{"info":"number node, value=1548","layer":4},{"info":"number node, value=1363","layer":4},{"info":"compute binary expreesion, left_input=1548, right_input=1363, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=3131","layer":4},{"info":"compute unary expreesion, input=3131, 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=160, 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":"compute binary expreesion, left_input=-26568, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(((⪎⋱⫍5C9⫡⨏⪎⋱⫍1256)⪒⪎⋱⫍CC6⨪↰⇹⪎⋱⫍800)⇋≉)⇷(⪎⋱⫍A16⪢⪎⋱⫍20C3≋⫹)⨪↰⇹((⪎⋱⫍921⨵⪆⪎⋱⫍80B)⨳⩥⨓(⪎⋱⫍156B∧))=NaN","reverse_text":"NaN=(((⪎⋱⫍5C9⫡⨏⪎⋱⫍1256)⪒⪎⋱⫍CC6⨪↰⇹⪎⋱⫍800)⇋≉)⇷(⪎⋱⫍A16⪢⪎⋱⫍20C3≋⫹)⨪↰⇹((⪎⋱⫍921⨵⪆⪎⋱⫍80B)⨳⩥⨓(⪎⋱⫍156B∧))","cot":[{"info":"⪎⋱⫍5C9⫡⨏⪎⋱⫍1256=⪎⋱⫍5048","layer":3},{"info":"⪎⋱⫍CC6⨪↰⇹⪎⋱⫍800=⪎⋱⫍CC6","layer":3},{"info":"⪎⋱⫍5048⪒⪎⋱⫍CC6=⪎⋱⫍-6041","layer":2},{"info":"⪎⋱⫍-6041⇋≉=⪎⋱⫍-C129","layer":1},{"info":"⪎⋱⫍A16⪢⪎⋱⫍20C3=NaN","layer":3},{"info":"NaN≋⫹=NaN","layer":2},{"info":"⪎⋱⫍921⨵⪆⪎⋱⫍80B=⪎⋱⫍C4","layer":3},{"info":"⪎⋱⫍156B∧=NaN","layer":3},{"info":"⪎⋱⫍C4⨳⩥⨓NaN=NaN","layer":2},{"info":"NaN⨪↰⇹NaN=NaN","layer":1},{"info":"⪎⋱⫍-C129⇷NaN=NaN","layer":0}]}
{"id":969,"expression_no_base_symbol":"(($5194$∲⫓$4580$)≭(⊥$1597$)↙($6197$⪨≂$2708$)⫥∨⫟($5864$⪄$2407$))⩚⊴⇥(∥⊫($4150$⫥∨⫟$3153$)≎⊠⪸($3550$-$5744$))","expression":"((⪎⋱⫍2497∲⫓⪎⋱⫍2114)≭(⊥⪎⋱⫍95B)↙(⪎⋱⫍2A89⪨≂⪎⋱⫍1304)⫥∨⫟(⪎⋱⫍2891⪄⪎⋱⫍1132))⩚⊴⇥(∥⊫(⪎⋱⫍1B73⫥∨⫟⪎⋱⫍1587)≎⊠⪸(⪎⋱⫍1801-⪎⋱⫍27CB))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":432,"operation_count":12,"complexity_ratio":36.0,"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":5194,"base":13},"right_expr":{"type":"numeric_atoms","value":4580,"base":13}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":1597,"base":13}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":6197,"base":13},"right_expr":{"type":"numeric_atoms","value":2708,"base":13}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":5864,"base":13},"right_expr":{"type":"numeric_atoms","value":2407,"base":13}}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":4150,"base":13},"right_expr":{"type":"numeric_atoms","value":3153,"base":13}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":3550,"base":13},"right_expr":{"type":"numeric_atoms","value":5744,"base":13}}}}},"used_operators":["NTOWxs364D","yyfyN0ffXY","rxpJgHHUmx","i8ToyICDmI","Q3PJZHRvZv","KYD54nUTWz","sdazOOVcIp","SUmda5xLS4","P8v4zCKN1o","bJkvcejdHO","rysDP5nf3Z"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","tmPS8pqC7x","DpFCA1CohY","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","fu6greOZ01","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=5194","layer":4},{"info":"number node, value=4580","layer":4},{"info":"compute binary expreesion, left_input=5194, right_input=4580, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=1597","layer":4},{"info":"compute unary expreesion, input=1597, 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 = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=6197","layer":4},{"info":"number node, value=2708","layer":4},{"info":"compute binary expreesion, left_input=6197, right_input=2708, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=7080","layer":3},{"info":"number node, value=5864","layer":4},{"info":"number node, value=2407","layer":4},{"info":"compute binary expreesion, left_input=5864, right_input=2407, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-873589","layer":3},{"info":"compute binary expreesion, left_input=7080, right_input=-873589, 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 = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":1},{"info":"number node, value=4150","layer":4},{"info":"number node, value=3153","layer":4},{"info":"compute binary expreesion, left_input=4150, right_input=3153, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=3550","layer":4},{"info":"number node, value=5744","layer":4},{"info":"compute binary expreesion, left_input=3550, right_input=5744, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-2194","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-2194, 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 = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=935","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=935, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍2497∲⫓⪎⋱⫍2114)≭(⊥⪎⋱⫍95B)↙(⪎⋱⫍2A89⪨≂⪎⋱⫍1304)⫥∨⫟(⪎⋱⫍2891⪄⪎⋱⫍1132))⩚⊴⇥(∥⊫(⪎⋱⫍1B73⫥∨⫟⪎⋱⫍1587)≎⊠⪸(⪎⋱⫍1801-⪎⋱⫍27CB))=NaN","reverse_text":"NaN=((⪎⋱⫍2497∲⫓⪎⋱⫍2114)≭(⊥⪎⋱⫍95B)↙(⪎⋱⫍2A89⪨≂⪎⋱⫍1304)⫥∨⫟(⪎⋱⫍2891⪄⪎⋱⫍1132))⩚⊴⇥(∥⊫(⪎⋱⫍1B73⫥∨⫟⪎⋱⫍1587)≎⊠⪸(⪎⋱⫍1801-⪎⋱⫍27CB))","cot":[{"info":"⪎⋱⫍2497∲⫓⪎⋱⫍2114=⪎⋱⫍0","layer":3},{"info":"⊥⪎⋱⫍95B=NaN","layer":3},{"info":"⪎⋱⫍0≭NaN=NaN","layer":2},{"info":"⪎⋱⫍2A89⪨≂⪎⋱⫍1304=⪎⋱⫍32B8","layer":3},{"info":"⪎⋱⫍2891⪄⪎⋱⫍1132=⪎⋱⫍-247822","layer":3},{"info":"⪎⋱⫍32B8⫥∨⫟⪎⋱⫍-247822=NaN","layer":2},{"info":"NaN↙NaN=NaN","layer":1},{"info":"⪎⋱⫍1B73⫥∨⫟⪎⋱⫍1587=NaN","layer":3},{"info":"⪎⋱⫍1801-⪎⋱⫍27CB=⪎⋱⫍-CCA","layer":3},{"info":"NaN≎⊠⪸⪎⋱⫍-CCA=⪎⋱⫍52","layer":2},{"info":"∥⊫⪎⋱⫍52=⪎⋱⫍56C","layer":1},{"info":"NaN⩚⊴⇥⪎⋱⫍56C=NaN","layer":0}]}
{"id":970,"expression_no_base_symbol":"((⇁⨣⪵$1123$)⨽($4354$-$2427$)⊭↱($1168$⨽$1048$)+⇶⊼(≦∁$4182$))⫥∨⫟(⇁⨣⪵(⨑⩽⪐($2555$↺$3414$)))","expression":"((⇁⨣⪵⪎⋱⫍685)⨽(⪎⋱⫍1C9C-⪎⋱⫍1149)⊭↱(⪎⋱⫍6BB⨽⪎⋱⫍628)+⇶⊼(≦∁⪎⋱⫍1B99))⫥∨⫟(⇁⨣⪵(⨑⩽⪐(⪎⋱⫍1217↺⪎⋱⫍1728)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1358,"operation_count":11,"complexity_ratio":123.45454545454545,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1123,"base":13}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":4354,"base":13},"right_expr":{"type":"numeric_atoms","value":2427,"base":13}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1168,"base":13},"right_expr":{"type":"numeric_atoms","value":1048,"base":13}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":4182,"base":13}}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2555,"base":13},"right_expr":{"type":"numeric_atoms","value":3414,"base":13}}}}},"used_operators":["KYD54nUTWz","COABgblf1C","8HhzD0ZcuI","inkyxCbjAn","rysDP5nf3Z","TpPTUOHfaN","9ICcGScMcE","AF7qkfDlqP","7j4O788W3g"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","B5M0gjZbta","AHs5Up7iyr","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1123","layer":4},{"info":"compute unary expreesion, input=1123, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=4354","layer":4},{"info":"number node, value=2427","layer":4},{"info":"compute binary expreesion, left_input=4354, right_input=2427, op_id = rysDP5nf3Z binary_op_definition= 'None', output=1927","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1927, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":2},{"info":"number node, value=1168","layer":4},{"info":"number node, value=1048","layer":4},{"info":"compute binary expreesion, left_input=1168, right_input=1048, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-4094502","layer":3},{"info":"number node, value=4182","layer":4},{"info":"compute unary expreesion, input=4182, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=4182","layer":3},{"info":"compute binary expreesion, left_input=-4094502, right_input=4182, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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 = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":1},{"info":"number node, value=2555","layer":4},{"info":"number node, value=3414","layer":4},{"info":"compute binary expreesion, left_input=2555, right_input=3414, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3414","layer":3},{"info":"compute unary expreesion, input=3414, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-3141","layer":2},{"info":"compute unary expreesion, input=-3141, 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 = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⇁⨣⪵⪎⋱⫍685)⨽(⪎⋱⫍1C9C-⪎⋱⫍1149)⊭↱(⪎⋱⫍6BB⨽⪎⋱⫍628)+⇶⊼(≦∁⪎⋱⫍1B99))⫥∨⫟(⇁⨣⪵(⨑⩽⪐(⪎⋱⫍1217↺⪎⋱⫍1728)))=NaN","reverse_text":"NaN=((⇁⨣⪵⪎⋱⫍685)⨽(⪎⋱⫍1C9C-⪎⋱⫍1149)⊭↱(⪎⋱⫍6BB⨽⪎⋱⫍628)+⇶⊼(≦∁⪎⋱⫍1B99))⫥∨⫟(⇁⨣⪵(⨑⩽⪐(⪎⋱⫍1217↺⪎⋱⫍1728)))","cot":[{"info":"⇁⨣⪵⪎⋱⫍685=NaN","layer":3},{"info":"⪎⋱⫍1C9C-⪎⋱⫍1149=⪎⋱⫍B53","layer":3},{"info":"NaN⨽⪎⋱⫍B53=NaN","layer":2},{"info":"⪎⋱⫍6BB⨽⪎⋱⫍628=⪎⋱⫍-B048A9","layer":3},{"info":"≦∁⪎⋱⫍1B99=⪎⋱⫍1B99","layer":3},{"info":"⪎⋱⫍-B048A9+⇶⊼⪎⋱⫍1B99=NaN","layer":2},{"info":"NaN⊭↱NaN=NaN","layer":1},{"info":"⪎⋱⫍1217↺⪎⋱⫍1728=⪎⋱⫍1728","layer":3},{"info":"⨑⩽⪐⪎⋱⫍1728=⪎⋱⫍-1578","layer":2},{"info":"⇁⨣⪵⪎⋱⫍-1578=NaN","layer":1},{"info":"NaN⫥∨⫟NaN=NaN","layer":0}]}
{"id":971,"expression_no_base_symbol":"((⪲⇎($1279$⪨≂$3278$))⋳⪒(⫓⪴$7381$)⪛(∥⊫$3991$))↬((-(≦∁$5523$))⋝⋈⪟((⨈⫕$2853$)⩨($2371$⫡⨏$3713$)))","expression":"((⪲⇎(⪎⋱⫍775⪨≂⪎⋱⫍1652))⋳⪒(⫓⪴⪎⋱⫍348A)⪛(∥⊫⪎⋱⫍1A80))↬((-(≦∁⪎⋱⫍268B))⋝⋈⪟((⨈⫕⪎⋱⫍13B6)⩨(⪎⋱⫍1105⫡⨏⪎⋱⫍18C8)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":19971,"operation_count":13,"complexity_ratio":1536.2307692307693,"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":1279,"base":13},"right_expr":{"type":"numeric_atoms","value":3278,"base":13}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":7381,"base":13}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":3991,"base":13}}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":5523,"base":13}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":2853,"base":13}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2371,"base":13},"right_expr":{"type":"numeric_atoms","value":3713,"base":13}}}}},"used_operators":["B5M0gjZbta","12rbrZMWeM","XPYlsWDdGa","sdazOOVcIp","uFcxV4UQCh","eLxqMNBOBk","P8v4zCKN1o","2DDjHMKMc0","t8gj7n24qd","9ICcGScMcE","2DlMacCsIx","megm06wKyl","QMFrweE19q"],"dependent_operators":["rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1279","layer":4},{"info":"number node, value=3278","layer":4},{"info":"compute binary expreesion, left_input=1279, right_input=3278, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-3896","layer":3},{"info":"compute unary expreesion, input=-3896, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=-7792","layer":2},{"info":"number node, value=7381","layer":4},{"info":"compute unary expreesion, input=7381, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=54479161","layer":3},{"info":"number node, value=3991","layer":4},{"info":"compute unary expreesion, input=3991, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=4859","layer":3},{"info":"compute binary expreesion, left_input=54479161, right_input=4859, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=53","layer":2},{"info":"compute binary expreesion, left_input=-7792, right_input=53, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-15924","layer":1},{"info":"number node, value=5523","layer":4},{"info":"compute unary expreesion, input=5523, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=5523","layer":3},{"info":"compute unary expreesion, input=5523, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-5523","layer":2},{"info":"number node, value=2853","layer":4},{"info":"compute unary expreesion, input=2853, 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=2371","layer":4},{"info":"number node, value=3713","layer":4},{"info":"compute binary expreesion, left_input=2371, right_input=3713, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=20064","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=20064, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=2868","layer":2},{"info":"compute binary expreesion, left_input=-5523, right_input=2868, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-5523","layer":1},{"info":"compute binary expreesion, left_input=-15924, right_input=-5523, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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":13,"result_base":13,"text":"((⪲⇎(⪎⋱⫍775⪨≂⪎⋱⫍1652))⋳⪒(⫓⪴⪎⋱⫍348A)⪛(∥⊫⪎⋱⫍1A80))↬((-(≦∁⪎⋱⫍268B))⋝⋈⪟((⨈⫕⪎⋱⫍13B6)⩨(⪎⋱⫍1105⫡⨏⪎⋱⫍18C8)))=NaN","reverse_text":"NaN=((⪲⇎(⪎⋱⫍775⪨≂⪎⋱⫍1652))⋳⪒(⫓⪴⪎⋱⫍348A)⪛(∥⊫⪎⋱⫍1A80))↬((-(≦∁⪎⋱⫍268B))⋝⋈⪟((⨈⫕⪎⋱⫍13B6)⩨(⪎⋱⫍1105⫡⨏⪎⋱⫍18C8)))","cot":[{"info":"⪎⋱⫍775⪨≂⪎⋱⫍1652=⪎⋱⫍-1A09","layer":3},{"info":"⪲⇎⪎⋱⫍-1A09=⪎⋱⫍-3715","layer":2},{"info":"⫓⪴⪎⋱⫍348A=⪎⋱⫍B3960B9","layer":3},{"info":"∥⊫⪎⋱⫍1A80=⪎⋱⫍229A","layer":3},{"info":"⪎⋱⫍B3960B9⪛⪎⋱⫍229A=⪎⋱⫍41","layer":2},{"info":"⪎⋱⫍-3715⋳⪒⪎⋱⫍41=⪎⋱⫍-732C","layer":1},{"info":"≦∁⪎⋱⫍268B=⪎⋱⫍268B","layer":3},{"info":"-⪎⋱⫍268B=⪎⋱⫍-268B","layer":2},{"info":"⨈⫕⪎⋱⫍13B6=⪎⋱⫍-18","layer":3},{"info":"⪎⋱⫍1105⫡⨏⪎⋱⫍18C8=⪎⋱⫍9195","layer":3},{"info":"⪎⋱⫍-18⩨⪎⋱⫍9195=⪎⋱⫍13C8","layer":2},{"info":"⪎⋱⫍-268B⋝⋈⪟⪎⋱⫍13C8=⪎⋱⫍-268B","layer":1},{"info":"⪎⋱⫍-732C↬⪎⋱⫍-268B=NaN","layer":0}]}
{"id":972,"expression_no_base_symbol":"⨈⫕($2134$⋝⋈⪟$1300$⫥∨⫟(↽≂$2057$))⋓($6666$-$7116$⋷$2608$⨎$2172$)","expression":"⨈⫕(⪎⋱⫍C82⋝⋈⪟⪎⋱⫍790⫥∨⫟(↽≂⪎⋱⫍C23))⋓(⪎⋱⫍305A-⪎⋱⫍3315⋷⪎⋱⫍1258⨎⪎⋱⫍CB1)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":563,"operation_count":8,"complexity_ratio":70.375,"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":2134,"base":13},"right_expr":{"type":"numeric_atoms","value":1300,"base":13}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":2057,"base":13}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":6666,"base":13},"right_expr":{"type":"numeric_atoms","value":7116,"base":13}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2608,"base":13},"right_expr":{"type":"numeric_atoms","value":2172,"base":13}}}}},"used_operators":["megm06wKyl","T2fj7uvVaJ","KYD54nUTWz","2DDjHMKMc0","u6S6b8DprG","23Mk6UjR3U","rysDP5nf3Z","rJVOvQCfKK"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"⪎⋱⫍-18","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2134","layer":4},{"info":"number node, value=1300","layer":4},{"info":"compute binary expreesion, left_input=2134, right_input=1300, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2134","layer":3},{"info":"number node, value=2057","layer":4},{"info":"compute unary expreesion, input=2057, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-4114","layer":3},{"info":"compute binary expreesion, left_input=2134, right_input=-4114, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=6666","layer":4},{"info":"number node, value=7116","layer":4},{"info":"compute binary expreesion, left_input=6666, right_input=7116, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-450","layer":3},{"info":"number node, value=2608","layer":4},{"info":"number node, value=2172","layer":4},{"info":"compute binary expreesion, left_input=2608, right_input=2172, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2172","layer":3},{"info":"compute binary expreesion, left_input=-450, right_input=2172, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=900","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=900, op_id = T2fj7uvVaJ binary_op_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 = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":0}],"base":13,"result_base":13,"text":"⨈⫕(⪎⋱⫍C82⋝⋈⪟⪎⋱⫍790⫥∨⫟(↽≂⪎⋱⫍C23))⋓(⪎⋱⫍305A-⪎⋱⫍3315⋷⪎⋱⫍1258⨎⪎⋱⫍CB1)=⪎⋱⫍-18","reverse_text":"⪎⋱⫍-18=⨈⫕(⪎⋱⫍C82⋝⋈⪟⪎⋱⫍790⫥∨⫟(↽≂⪎⋱⫍C23))⋓(⪎⋱⫍305A-⪎⋱⫍3315⋷⪎⋱⫍1258⨎⪎⋱⫍CB1)","cot":[{"info":"⪎⋱⫍C82⋝⋈⪟⪎⋱⫍790=⪎⋱⫍C82","layer":3},{"info":"↽≂⪎⋱⫍C23=⪎⋱⫍-1B46","layer":3},{"info":"⪎⋱⫍C82⫥∨⫟⪎⋱⫍-1B46=NaN","layer":2},{"info":"⪎⋱⫍305A-⪎⋱⫍3315=⪎⋱⫍-288","layer":3},{"info":"⪎⋱⫍1258⨎⪎⋱⫍CB1=⪎⋱⫍CB1","layer":3},{"info":"⪎⋱⫍-288⋷⪎⋱⫍CB1=⪎⋱⫍543","layer":2},{"info":"NaN⋓⪎⋱⫍543=⪎⋱⫍0","layer":1},{"info":"⨈⫕⪎⋱⫍0=⪎⋱⫍-18","layer":0}]}
{"id":973,"expression_no_base_symbol":"$3805$⨰$2793$⩚⊴⇥($5518$⫩⊇)⫥∨⫟($1542$⪄$2663$)⨪↰⇹($1721$+$1404$)⊭↱((↽≂$5170$)⪛$2724$⪮%⊝$3137$⊉≛↸(⊙↵-(⨈⫕$1461$)))","expression":"⪎⋱⫍1969⨰⪎⋱⫍136B⩚⊴⇥(⪎⋱⫍2686⫩⊇)⫥∨⫟(⪎⋱⫍918⪄⪎⋱⫍129B)⨪↰⇹(⪎⋱⫍A25+⪎⋱⫍840)⊭↱((↽≂⪎⋱⫍2479)⪛⪎⋱⫍1317⪮%⊝⪎⋱⫍1574⊉≛↸(⊙↵-(⨈⫕⪎⋱⫍885)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":235675,"operation_count":14,"complexity_ratio":16833.928571428572,"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":3805,"base":13},"right_expr":{"type":"numeric_atoms","value":2793,"base":13}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":5518,"base":13}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1542,"base":13},"right_expr":{"type":"numeric_atoms","value":2663,"base":13}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1721,"base":13},"right_expr":{"type":"numeric_atoms","value":1404,"base":13}}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":5170,"base":13}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2724,"base":13},"right_expr":{"type":"numeric_atoms","value":3137,"base":13}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":1461,"base":13}}}}},"used_operators":["COABgblf1C","KYD54nUTWz","NTOWxs364D","eewbuw0ToL","BjRHVeLaeN","tmPS8pqC7x","SUmda5xLS4","W4YGzv6Whe","DZ8iAZOCBD","uFcxV4UQCh","u6S6b8DprG","IWmyXbctLI","oWn0xqSxBt","megm06wKyl"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3805","layer":4},{"info":"number node, value=2793","layer":4},{"info":"compute binary expreesion, left_input=3805, right_input=2793, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1022","layer":3},{"info":"number node, value=5518","layer":4},{"info":"compute unary expreesion, input=5518, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-5476","layer":3},{"info":"compute binary expreesion, left_input=1022, right_input=-5476, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=4333","layer":2},{"info":"number node, value=1542","layer":4},{"info":"number node, value=2663","layer":4},{"info":"compute binary expreesion, left_input=1542, right_input=2663, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-234957","layer":3},{"info":"number node, value=1721","layer":4},{"info":"number node, value=1404","layer":4},{"info":"compute binary expreesion, left_input=1721, right_input=1404, op_id = W4YGzv6Whe binary_op_definition= 'None', output=3125","layer":3},{"info":"compute binary expreesion, left_input=-234957, right_input=3125, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=234957","layer":2},{"info":"compute binary expreesion, left_input=4333, right_input=234957, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=5170","layer":4},{"info":"compute unary expreesion, input=5170, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-10340","layer":3},{"info":"number node, value=2724","layer":4},{"info":"number node, value=3137","layer":4},{"info":"compute binary expreesion, left_input=2724, right_input=3137, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=5764","layer":3},{"info":"compute binary expreesion, left_input=-10340, right_input=5764, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1188","layer":2},{"info":"number node, value=1461","layer":4},{"info":"compute unary expreesion, input=1461, 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 = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=1188, right_input=0, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2376","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2376, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⪎⋱⫍1969⨰⪎⋱⫍136B⩚⊴⇥(⪎⋱⫍2686⫩⊇)⫥∨⫟(⪎⋱⫍918⪄⪎⋱⫍129B)⨪↰⇹(⪎⋱⫍A25+⪎⋱⫍840)⊭↱((↽≂⪎⋱⫍2479)⪛⪎⋱⫍1317⪮%⊝⪎⋱⫍1574⊉≛↸(⊙↵-(⨈⫕⪎⋱⫍885)))=NaN","reverse_text":"NaN=⪎⋱⫍1969⨰⪎⋱⫍136B⩚⊴⇥(⪎⋱⫍2686⫩⊇)⫥∨⫟(⪎⋱⫍918⪄⪎⋱⫍129B)⨪↰⇹(⪎⋱⫍A25+⪎⋱⫍840)⊭↱((↽≂⪎⋱⫍2479)⪛⪎⋱⫍1317⪮%⊝⪎⋱⫍1574⊉≛↸(⊙↵-(⨈⫕⪎⋱⫍885)))","cot":[{"info":"⪎⋱⫍1969⨰⪎⋱⫍136B=⪎⋱⫍608","layer":3},{"info":"⪎⋱⫍2686⫩⊇=⪎⋱⫍-2653","layer":3},{"info":"⪎⋱⫍608⩚⊴⇥⪎⋱⫍-2653=⪎⋱⫍1C84","layer":2},{"info":"⪎⋱⫍918⪄⪎⋱⫍129B=⪎⋱⫍-82C38","layer":3},{"info":"⪎⋱⫍A25+⪎⋱⫍840=⪎⋱⫍1565","layer":3},{"info":"⪎⋱⫍-82C38⨪↰⇹⪎⋱⫍1565=⪎⋱⫍82C38","layer":2},{"info":"⪎⋱⫍1C84⫥∨⫟⪎⋱⫍82C38=NaN","layer":1},{"info":"↽≂⪎⋱⫍2479=⪎⋱⫍-4925","layer":3},{"info":"⪎⋱⫍1317⪮%⊝⪎⋱⫍1574=⪎⋱⫍2815","layer":3},{"info":"⪎⋱⫍-4925⪛⪎⋱⫍2815=⪎⋱⫍705","layer":2},{"info":"⨈⫕⪎⋱⫍885=⪎⋱⫍-18","layer":3},{"info":"⊙↵-⪎⋱⫍-18=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍705⊉≛↸⪎⋱⫍0=⪎⋱⫍110A","layer":1},{"info":"NaN⊭↱⪎⋱⫍110A=NaN","layer":0}]}
{"id":974,"expression_no_base_symbol":"↔(($7719$⨳⩥⨓$5222$)⪘⫢($4383$≣⋋)∲⫓(⪲⇎($3966$↺$2374$)))","expression":"↔((⪎⋱⫍368A⨳⩥⨓⪎⋱⫍24B9)⪘⫢(⪎⋱⫍1CC2≣⋋)∲⫓(⪲⇎(⪎⋱⫍1A61↺⪎⋱⫍1108)))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":542,"operation_count":7,"complexity_ratio":77.42857142857143,"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":7719,"base":13},"right_expr":{"type":"numeric_atoms","value":5222,"base":13}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":4383,"base":13}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":3966,"base":13},"right_expr":{"type":"numeric_atoms","value":2374,"base":13}}}}},"used_operators":["ruOEQAzv1W","i8ToyICDmI","oacrs7FA3X","nCS4ZIUYfx","Tcnh7f0tEr","XPYlsWDdGa","7j4O788W3g"],"dependent_operators":["XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⪎⋱⫍489","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=7719","layer":4},{"info":"number node, value=5222","layer":4},{"info":"compute binary expreesion, left_input=7719, right_input=5222, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-2497","layer":3},{"info":"number node, value=4383","layer":4},{"info":"compute unary expreesion, input=4383, 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=-2497, 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=3966","layer":4},{"info":"number node, value=2374","layer":4},{"info":"compute binary expreesion, left_input=3966, right_input=2374, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2374","layer":3},{"info":"compute unary expreesion, input=2374, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=4748","layer":2},{"info":"compute binary expreesion, left_input=-1, right_input=4748, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=789","layer":0}],"base":13,"result_base":13,"text":"↔((⪎⋱⫍368A⨳⩥⨓⪎⋱⫍24B9)⪘⫢(⪎⋱⫍1CC2≣⋋)∲⫓(⪲⇎(⪎⋱⫍1A61↺⪎⋱⫍1108)))=⪎⋱⫍489","reverse_text":"⪎⋱⫍489=↔((⪎⋱⫍368A⨳⩥⨓⪎⋱⫍24B9)⪘⫢(⪎⋱⫍1CC2≣⋋)∲⫓(⪲⇎(⪎⋱⫍1A61↺⪎⋱⫍1108)))","cot":[{"info":"⪎⋱⫍368A⨳⩥⨓⪎⋱⫍24B9=⪎⋱⫍-11A1","layer":3},{"info":"⪎⋱⫍1CC2≣⋋=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍-11A1⪘⫢⪎⋱⫍0=⪎⋱⫍-1","layer":2},{"info":"⪎⋱⫍1A61↺⪎⋱⫍1108=⪎⋱⫍1108","layer":3},{"info":"⪲⇎⪎⋱⫍1108=⪎⋱⫍2213","layer":2},{"info":"⪎⋱⫍-1∲⫓⪎⋱⫍2213=⪎⋱⫍0","layer":1},{"info":"↔⪎⋱⫍0=⪎⋱⫍489","layer":0}]}
{"id":975,"expression_no_base_symbol":"↽≂(↔($2496$⩷∴$7053$+($1872$⪠⩆⊳)))","expression":"↽≂(↔(⪎⋱⫍11A0⩷∴⪎⋱⫍3297+(⪎⋱⫍B10⪠⩆⊳)))","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":38,"operation_count":5,"complexity_ratio":7.6,"tree":{"type":"unary","operator":"↽≂","unary_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2496,"base":13},"right_expr":{"type":"numeric_atoms","value":7053,"base":13}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":1872,"base":13}}}}},"used_operators":["u6S6b8DprG","ruOEQAzv1W","W4YGzv6Whe","9FxExcQeMw","JLbD19bQDL"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍178","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2496","layer":4},{"info":"number node, value=7053","layer":4},{"info":"compute binary expreesion, left_input=2496, right_input=7053, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-9146","layer":3},{"info":"number node, value=1872","layer":4},{"info":"compute unary expreesion, input=1872, 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=-9146, right_input=0, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-9146","layer":2},{"info":"compute unary expreesion, input=-9146, 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 = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=268","layer":0}],"base":13,"result_base":13,"text":"↽≂(↔(⪎⋱⫍11A0⩷∴⪎⋱⫍3297+(⪎⋱⫍B10⪠⩆⊳)))=⪎⋱⫍178","reverse_text":"⪎⋱⫍178=↽≂(↔(⪎⋱⫍11A0⩷∴⪎⋱⫍3297+(⪎⋱⫍B10⪠⩆⊳)))","cot":[{"info":"⪎⋱⫍11A0⩷∴⪎⋱⫍3297=⪎⋱⫍-4217","layer":3},{"info":"⪎⋱⫍B10⪠⩆⊳=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍-4217+⪎⋱⫍0=⪎⋱⫍-4217","layer":2},{"info":"↔⪎⋱⫍-4217=⪎⋱⫍-A4","layer":1},{"info":"↽≂⪎⋱⫍-A4=⪎⋱⫍178","layer":0}]}
{"id":976,"expression_no_base_symbol":"($1396$↺$3408$)⪢($7441$⨎$1820$)⨐⩸⫘($1820$⪛$5164$)⪢($2010$≭$7220$)⫡⨏($3480$⊘)⨓($3367$⇼⇔∾$6731$)↙((⊄⩳↩$3961$)⨳⩥⨓($7277$⨁⊸⫻))","expression":"(⪎⋱⫍835↺⪎⋱⫍1722)⪢(⪎⋱⫍3505⨎⪎⋱⫍AA0)⨐⩸⫘(⪎⋱⫍AA0⪛⪎⋱⫍2473)⪢(⪎⋱⫍BB8≭⪎⋱⫍3395)⫡⨏(⪎⋱⫍1779⊘)⨓(⪎⋱⫍16C0⇼⇔∾⪎⋱⫍30AA)↙((⊄⩳↩⪎⋱⫍1A59)⨳⩥⨓(⪎⋱⫍340A⨁⊸⫻))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":5340,"operation_count":15,"complexity_ratio":356.0,"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":1396,"base":13},"right_expr":{"type":"numeric_atoms","value":3408,"base":13}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":7441,"base":13},"right_expr":{"type":"numeric_atoms","value":1820,"base":13}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1820,"base":13},"right_expr":{"type":"numeric_atoms","value":5164,"base":13}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2010,"base":13},"right_expr":{"type":"numeric_atoms","value":7220,"base":13}}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":3480,"base":13}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":3367,"base":13},"right_expr":{"type":"numeric_atoms","value":6731,"base":13}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":3961,"base":13}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":7277,"base":13}}}}},"used_operators":["QMFrweE19q","fu6greOZ01","dWAJyo7jo9","7j4O788W3g","rJVOvQCfKK","uFcxV4UQCh","rxpJgHHUmx","yyfyN0ffXY","3ViojmjbAp","gu96TGCTMs","tifHPKVTfV","nCS4ZIUYfx","8w2t5hMYqp","glklzrTFfD"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","AHs5Up7iyr","tmPS8pqC7x","DpFCA1CohY","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1396","layer":4},{"info":"number node, value=3408","layer":4},{"info":"compute binary expreesion, left_input=1396, right_input=3408, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3408","layer":3},{"info":"number node, value=7441","layer":4},{"info":"number node, value=1820","layer":4},{"info":"compute binary expreesion, left_input=7441, right_input=1820, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1820","layer":3},{"info":"compute binary expreesion, left_input=3408, right_input=1820, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=1820","layer":4},{"info":"number node, value=5164","layer":4},{"info":"compute binary expreesion, left_input=1820, right_input=5164, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1820","layer":3},{"info":"number node, value=2010","layer":4},{"info":"number node, value=7220","layer":4},{"info":"compute binary expreesion, left_input=2010, right_input=7220, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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=1820, 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 = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=3480","layer":4},{"info":"compute unary expreesion, input=3480, 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=3367","layer":4},{"info":"number node, value=6731","layer":4},{"info":"compute binary expreesion, left_input=3367, right_input=6731, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=3364","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=3364, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3367","layer":2},{"info":"number node, value=3961","layer":4},{"info":"compute unary expreesion, input=3961, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-11883","layer":3},{"info":"number node, value=7277","layer":4},{"info":"compute unary expreesion, input=7277, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=7277","layer":3},{"info":"compute binary expreesion, left_input=-11883, right_input=7277, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=19160","layer":2},{"info":"compute binary expreesion, left_input=-3367, right_input=19160, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3367","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-3367, op_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":13,"result_base":13,"text":"(⪎⋱⫍835↺⪎⋱⫍1722)⪢(⪎⋱⫍3505⨎⪎⋱⫍AA0)⨐⩸⫘(⪎⋱⫍AA0⪛⪎⋱⫍2473)⪢(⪎⋱⫍BB8≭⪎⋱⫍3395)⫡⨏(⪎⋱⫍1779⊘)⨓(⪎⋱⫍16C0⇼⇔∾⪎⋱⫍30AA)↙((⊄⩳↩⪎⋱⫍1A59)⨳⩥⨓(⪎⋱⫍340A⨁⊸⫻))=NaN","reverse_text":"NaN=(⪎⋱⫍835↺⪎⋱⫍1722)⪢(⪎⋱⫍3505⨎⪎⋱⫍AA0)⨐⩸⫘(⪎⋱⫍AA0⪛⪎⋱⫍2473)⪢(⪎⋱⫍BB8≭⪎⋱⫍3395)⫡⨏(⪎⋱⫍1779⊘)⨓(⪎⋱⫍16C0⇼⇔∾⪎⋱⫍30AA)↙((⊄⩳↩⪎⋱⫍1A59)⨳⩥⨓(⪎⋱⫍340A⨁⊸⫻))","cot":[{"info":"⪎⋱⫍835↺⪎⋱⫍1722=⪎⋱⫍1722","layer":3},{"info":"⪎⋱⫍3505⨎⪎⋱⫍AA0=⪎⋱⫍AA0","layer":3},{"info":"⪎⋱⫍1722⪢⪎⋱⫍AA0=NaN","layer":2},{"info":"⪎⋱⫍AA0⪛⪎⋱⫍2473=⪎⋱⫍AA0","layer":3},{"info":"⪎⋱⫍BB8≭⪎⋱⫍3395=NaN","layer":3},{"info":"⪎⋱⫍AA0⪢NaN=NaN","layer":2},{"info":"NaN⨐⩸⫘NaN=NaN","layer":1},{"info":"⪎⋱⫍1779⊘=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍16C0⇼⇔∾⪎⋱⫍30AA=⪎⋱⫍16BA","layer":3},{"info":"⪎⋱⫍0⨓⪎⋱⫍16BA=⪎⋱⫍-16C0","layer":2},{"info":"⊄⩳↩⪎⋱⫍1A59=⪎⋱⫍-5541","layer":3},{"info":"⪎⋱⫍340A⨁⊸⫻=⪎⋱⫍340A","layer":3},{"info":"⪎⋱⫍-5541⨳⩥⨓⪎⋱⫍340A=⪎⋱⫍894B","layer":2},{"info":"⪎⋱⫍-16C0↙⪎⋱⫍894B=⪎⋱⫍-16C0","layer":1},{"info":"NaN⫡⨏⪎⋱⫍-16C0=NaN","layer":0}]}
{"id":977,"expression_no_base_symbol":"($1151$⪛$6004$≧⫂∧($2274$⋷$1351$)⫸⊐((⫓⪴$2842$)∲⫓$8080$⋥≓≎$5465$))↙(($2140$⨓$1194$∸)⊭∹↮)","expression":"(⪎⋱⫍6A7⪛⪎⋱⫍296B≧⫂∧(⪎⋱⫍105C⋷⪎⋱⫍7CC)⫸⊐((⫓⪴⪎⋱⫍13A8)∲⫓⪎⋱⫍38A7⋥≓≎⪎⋱⫍2645))↙((⪎⋱⫍C88⨓⪎⋱⫍70B∸)⊭∹↮)","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":4418,"operation_count":11,"complexity_ratio":401.6363636363636,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1151,"base":13},"right_expr":{"type":"numeric_atoms","value":6004,"base":13}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":2274,"base":13},"right_expr":{"type":"numeric_atoms","value":1351,"base":13}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":2842,"base":13}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":8080,"base":13},"right_expr":{"type":"numeric_atoms","value":5465,"base":13}}}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2140,"base":13},"right_expr":{"type":"numeric_atoms","value":1194,"base":13}}}}},"used_operators":["yyfyN0ffXY","mqXw5SEYmG","Ph9nP6C5qx","uFcxV4UQCh","23Mk6UjR3U","i8ToyICDmI","eLxqMNBOBk","Qy55tPpLXF","xNBdhnnwKq","o20kRiQErp","3ViojmjbAp"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","tmPS8pqC7x","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"⪎⋱⫍-31B","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1151","layer":4},{"info":"number node, value=6004","layer":4},{"info":"compute binary expreesion, left_input=1151, right_input=6004, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1151","layer":3},{"info":"number node, value=2274","layer":4},{"info":"number node, value=1351","layer":4},{"info":"compute binary expreesion, left_input=2274, right_input=1351, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=428","layer":3},{"info":"compute binary expreesion, left_input=1151, right_input=428, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-45","layer":2},{"info":"number node, value=2842","layer":4},{"info":"compute unary expreesion, input=2842, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=8076964","layer":3},{"info":"number node, value=8080","layer":4},{"info":"number node, value=5465","layer":4},{"info":"compute binary expreesion, left_input=8080, right_input=5465, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=2883","layer":3},{"info":"compute binary expreesion, left_input=8076964, right_input=2883, 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=-45, 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=439","layer":1},{"info":"number node, value=2140","layer":4},{"info":"number node, value=1194","layer":4},{"info":"compute binary expreesion, left_input=2140, right_input=1194, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1197","layer":3},{"info":"compute unary expreesion, input=-1197, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":2},{"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":1},{"info":"compute binary expreesion, left_input=439, right_input=177, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-531","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍6A7⪛⪎⋱⫍296B≧⫂∧(⪎⋱⫍105C⋷⪎⋱⫍7CC)⫸⊐((⫓⪴⪎⋱⫍13A8)∲⫓⪎⋱⫍38A7⋥≓≎⪎⋱⫍2645))↙((⪎⋱⫍C88⨓⪎⋱⫍70B∸)⊭∹↮)=⪎⋱⫍-31B","reverse_text":"⪎⋱⫍-31B=(⪎⋱⫍6A7⪛⪎⋱⫍296B≧⫂∧(⪎⋱⫍105C⋷⪎⋱⫍7CC)⫸⊐((⫓⪴⪎⋱⫍13A8)∲⫓⪎⋱⫍38A7⋥≓≎⪎⋱⫍2645))↙((⪎⋱⫍C88⨓⪎⋱⫍70B∸)⊭∹↮)","cot":[{"info":"⪎⋱⫍6A7⪛⪎⋱⫍296B=⪎⋱⫍6A7","layer":3},{"info":"⪎⋱⫍105C⋷⪎⋱⫍7CC=⪎⋱⫍26C","layer":3},{"info":"⪎⋱⫍6A7≧⫂∧⪎⋱⫍26C=⪎⋱⫍-36","layer":2},{"info":"⫓⪴⪎⋱⫍13A8=⪎⋱⫍189A48C","layer":3},{"info":"⪎⋱⫍38A7⋥≓≎⪎⋱⫍2645=⪎⋱⫍140A","layer":3},{"info":"⪎⋱⫍189A48C∲⫓⪎⋱⫍140A=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍-36⫸⊐⪎⋱⫍0=⪎⋱⫍27A","layer":1},{"info":"⪎⋱⫍C88⨓⪎⋱⫍70B=⪎⋱⫍-711","layer":3},{"info":"⪎⋱⫍-711∸=⪎⋱⫍108","layer":2},{"info":"⪎⋱⫍108⊭∹↮=⪎⋱⫍108","layer":1},{"info":"⪎⋱⫍27A↙⪎⋱⫍108=⪎⋱⫍-31B","layer":0}]}
{"id":978,"expression_no_base_symbol":"($1449$⨟⋌⩍$1041$⪘⫢$1206$⪢$1144$)↬(∥⊫(⪲⇎$2135$))⨓((($2313$↛⩡⫤)⊭↱($2979$⪒$4596$))⋥≓≎((⊙↵-$5655$)⩠))","expression":"(⪎⋱⫍876⨟⋌⩍⪎⋱⫍621⪘⫢⪎⋱⫍71A⪢⪎⋱⫍6A0)↬(∥⊫(⪲⇎⪎⋱⫍C83))⨓(((⪎⋱⫍108C↛⩡⫤)⊭↱(⪎⋱⫍1482⪒⪎⋱⫍2127))⋥≓≎((⊙↵-⪎⋱⫍2760)⩠))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":689733,"operation_count":13,"complexity_ratio":53056.38461538462,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1449,"base":13},"right_expr":{"type":"numeric_atoms","value":1041,"base":13}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1206,"base":13},"right_expr":{"type":"numeric_atoms","value":1144,"base":13}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":2135,"base":13}}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":2313,"base":13}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2979,"base":13},"right_expr":{"type":"numeric_atoms","value":4596,"base":13}}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":5655,"base":13}}}}},"used_operators":["3ViojmjbAp","B5M0gjZbta","oacrs7FA3X","rGHVDoGpnC","dWAJyo7jo9","P8v4zCKN1o","XPYlsWDdGa","Qy55tPpLXF","COABgblf1C","FU0Cs4j7VP","f6k1SAg4EE","sJAwomhLZr","oWn0xqSxBt"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rGHVDoGpnC","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","Tcnh7f0tEr","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X"],"result":"⪎⋱⫍1A8387","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1449","layer":4},{"info":"number node, value=1041","layer":4},{"info":"compute binary expreesion, left_input=1449, 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":"number node, value=1206","layer":4},{"info":"number node, value=1144","layer":4},{"info":"compute binary expreesion, left_input=1206, right_input=1144, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = 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=2135","layer":4},{"info":"compute unary expreesion, input=2135, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=4270","layer":3},{"info":"compute unary expreesion, input=4270, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=5138","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=5138, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=2313","layer":4},{"info":"compute unary expreesion, input=2313, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-345352","layer":3},{"info":"number node, value=2979","layer":4},{"info":"number node, value=4596","layer":4},{"info":"compute binary expreesion, left_input=2979, right_input=4596, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-7575","layer":3},{"info":"compute binary expreesion, left_input=-345352, right_input=-7575, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=675559","layer":2},{"info":"number node, value=5655","layer":4},{"info":"compute unary expreesion, input=5655, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute unary expreesion, input=-1, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=213","layer":2},{"info":"compute binary expreesion, left_input=675559, right_input=213, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-675100","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-675100, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=675097","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍876⨟⋌⩍⪎⋱⫍621⪘⫢⪎⋱⫍71A⪢⪎⋱⫍6A0)↬(∥⊫(⪲⇎⪎⋱⫍C83))⨓(((⪎⋱⫍108C↛⩡⫤)⊭↱(⪎⋱⫍1482⪒⪎⋱⫍2127))⋥≓≎((⊙↵-⪎⋱⫍2760)⩠))=⪎⋱⫍1A8387","reverse_text":"⪎⋱⫍1A8387=(⪎⋱⫍876⨟⋌⩍⪎⋱⫍621⪘⫢⪎⋱⫍71A⪢⪎⋱⫍6A0)↬(∥⊫(⪲⇎⪎⋱⫍C83))⨓(((⪎⋱⫍108C↛⩡⫤)⊭↱(⪎⋱⫍1482⪒⪎⋱⫍2127))⋥≓≎((⊙↵-⪎⋱⫍2760)⩠))","cot":[{"info":"⪎⋱⫍876⨟⋌⩍⪎⋱⫍621=NaN","layer":3},{"info":"⪎⋱⫍71A⪢⪎⋱⫍6A0=NaN","layer":3},{"info":"NaN⪘⫢NaN=NaN","layer":2},{"info":"⪲⇎⪎⋱⫍C83=⪎⋱⫍1C36","layer":3},{"info":"∥⊫⪎⋱⫍1C36=⪎⋱⫍2453","layer":2},{"info":"NaN↬⪎⋱⫍2453=NaN","layer":1},{"info":"⪎⋱⫍108C↛⩡⫤=⪎⋱⫍-C1267","layer":3},{"info":"⪎⋱⫍1482⪒⪎⋱⫍2127=⪎⋱⫍-35A9","layer":3},{"info":"⪎⋱⫍-C1267⊭↱⪎⋱⫍-35A9=⪎⋱⫍1A8651","layer":2},{"info":"⊙↵-⪎⋱⫍2760=⪎⋱⫍-1","layer":3},{"info":"⪎⋱⫍-1⩠=⪎⋱⫍135","layer":2},{"info":"⪎⋱⫍1A8651⋥≓≎⪎⋱⫍135=⪎⋱⫍-1A838A","layer":1},{"info":"NaN⨓⪎⋱⫍-1A838A=⪎⋱⫍1A8387","layer":0}]}
{"id":979,"expression_no_base_symbol":"($6541$↺$2387$)⊴($4188$-$1562$)≧⫂∧(↩$4734$)↬(≤/$2192$)≧⫂∧((⨞⊢$1709$⨟⋌⩍$3000$)⨎((⨈⫕$1223$)%(↯⪼$3804$)))","expression":"(⪎⋱⫍2C92↺⪎⋱⫍1118)⊴(⪎⋱⫍1BA2-⪎⋱⫍932)≧⫂∧(↩⪎⋱⫍2202)↬(≤/⪎⋱⫍CC8)≧⫂∧((⨞⊢⪎⋱⫍A16⨟⋌⩍⪎⋱⫍149A)⨎((⨈⫕⪎⋱⫍731)%(↯⪼⪎⋱⫍1968)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3077,"operation_count":14,"complexity_ratio":219.78571428571428,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":6541,"base":13},"right_expr":{"type":"numeric_atoms","value":2387,"base":13}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":4188,"base":13},"right_expr":{"type":"numeric_atoms","value":1562,"base":13}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":4734,"base":13}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":2192,"base":13}}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1709,"base":13},"right_expr":{"type":"numeric_atoms","value":3000,"base":13}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":1223,"base":13}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":3804,"base":13}}}}},"used_operators":["Ph9nP6C5qx","Nsiff2A1zJ","7j4O788W3g","rysDP5nf3Z","B5M0gjZbta","jLgFTUHLKL","eLAdDNolq6","rJVOvQCfKK","xUOZtlo3hN","rGHVDoGpnC","k8jYdgA6NY","megm06wKyl","8jW3W4yZS5"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","rysDP5nf3Z","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp"],"result":"⪎⋱⫍-2A5","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=6541","layer":4},{"info":"number node, value=2387","layer":4},{"info":"compute binary expreesion, left_input=6541, right_input=2387, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2387","layer":3},{"info":"number node, value=4188","layer":4},{"info":"number node, value=1562","layer":4},{"info":"compute binary expreesion, left_input=4188, right_input=1562, op_id = rysDP5nf3Z binary_op_definition= 'None', output=2626","layer":3},{"info":"compute binary expreesion, left_input=2387, right_input=2626, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=4734","layer":4},{"info":"compute unary expreesion, input=4734, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-35092","layer":3},{"info":"number node, value=2192","layer":4},{"info":"compute unary expreesion, input=2192, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1708","layer":3},{"info":"compute binary expreesion, left_input=-35092, right_input=-1708, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":1},{"info":"number node, value=1709","layer":4},{"info":"number node, value=3000","layer":4},{"info":"compute binary expreesion, left_input=1709, right_input=3000, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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 = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=nan","layer":2},{"info":"number node, value=1223","layer":4},{"info":"compute unary expreesion, input=1223, 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=3804","layer":4},{"info":"compute unary expreesion, input=3804, 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=-21, right_input=-21, op_id = k8jYdgA6NY binary_op_definition= 'None', 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":"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":13,"result_base":13,"text":"(⪎⋱⫍2C92↺⪎⋱⫍1118)⊴(⪎⋱⫍1BA2-⪎⋱⫍932)≧⫂∧(↩⪎⋱⫍2202)↬(≤/⪎⋱⫍CC8)≧⫂∧((⨞⊢⪎⋱⫍A16⨟⋌⩍⪎⋱⫍149A)⨎((⨈⫕⪎⋱⫍731)%(↯⪼⪎⋱⫍1968)))=⪎⋱⫍-2A5","reverse_text":"⪎⋱⫍-2A5=(⪎⋱⫍2C92↺⪎⋱⫍1118)⊴(⪎⋱⫍1BA2-⪎⋱⫍932)≧⫂∧(↩⪎⋱⫍2202)↬(≤/⪎⋱⫍CC8)≧⫂∧((⨞⊢⪎⋱⫍A16⨟⋌⩍⪎⋱⫍149A)⨎((⨈⫕⪎⋱⫍731)%(↯⪼⪎⋱⫍1968)))","cot":[{"info":"⪎⋱⫍2C92↺⪎⋱⫍1118=⪎⋱⫍1118","layer":3},{"info":"⪎⋱⫍1BA2-⪎⋱⫍932=⪎⋱⫍1270","layer":3},{"info":"⪎⋱⫍1118⊴⪎⋱⫍1270=NaN","layer":2},{"info":"↩⪎⋱⫍2202=⪎⋱⫍-12C85","layer":3},{"info":"≤/⪎⋱⫍CC8=⪎⋱⫍-A15","layer":3},{"info":"⪎⋱⫍-12C85↬⪎⋱⫍-A15=NaN","layer":2},{"info":"NaN≧⫂∧NaN=NaN","layer":1},{"info":"⪎⋱⫍A16⨟⋌⩍⪎⋱⫍149A=NaN","layer":3},{"info":"⨞⊢NaN=NaN","layer":2},{"info":"⨈⫕⪎⋱⫍731=⪎⋱⫍-18","layer":3},{"info":"↯⪼⪎⋱⫍1968=⪎⋱⫍-18","layer":3},{"info":"⪎⋱⫍-18%⪎⋱⫍-18=⪎⋱⫍0","layer":2},{"info":"NaN⨎⪎⋱⫍0=⪎⋱⫍0","layer":1},{"info":"NaN≧⫂∧⪎⋱⫍0=⪎⋱⫍-2A5","layer":0}]}
{"id":980,"expression_no_base_symbol":"↩((($2743$⊪)/$1298$⇼⇔∾$1716$)*$6839$⩷∴$1005$+⇶⊼$1747$≧⫂∧$5513$)","expression":"↩(((⪎⋱⫍1330⊪)/⪎⋱⫍78B⇼⇔∾⪎⋱⫍A20)*⪎⋱⫍3161⩷∴⪎⋱⫍5C4+⇶⊼⪎⋱⫍A45≧⫂∧⪎⋱⫍2681)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":64,"operation_count":8,"complexity_ratio":8.0,"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":2743,"base":13}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1298,"base":13},"right_expr":{"type":"numeric_atoms","value":1716,"base":13}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":6839,"base":13},"right_expr":{"type":"numeric_atoms","value":1005,"base":13}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1747,"base":13},"right_expr":{"type":"numeric_atoms","value":5513,"base":13}}}}},"used_operators":["jLgFTUHLKL","9HNa5Wba9A","XhwjNDsVaA","zVYPLywUTj","tifHPKVTfV","TpPTUOHfaN","9FxExcQeMw","Ph9nP6C5qx"],"dependent_operators":["sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe","rysDP5nf3Z","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":false},"cot_info":[{"info":"number node, value=2743","layer":4},{"info":"compute unary expreesion, input=2743, 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=1298","layer":4},{"info":"number node, value=1716","layer":4},{"info":"compute binary expreesion, left_input=1298, right_input=1716, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=418","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=418, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":2},{"info":"number node, value=6839","layer":4},{"info":"number node, value=1005","layer":4},{"info":"compute binary expreesion, left_input=6839, right_input=1005, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=11636","layer":3},{"info":"number node, value=1747","layer":4},{"info":"number node, value=5513","layer":4},{"info":"compute binary expreesion, left_input=1747, right_input=5513, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=5040","layer":3},{"info":"compute binary expreesion, left_input=11636, right_input=5040, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"↩(((⪎⋱⫍1330⊪)/⪎⋱⫍78B⇼⇔∾⪎⋱⫍A20)*⪎⋱⫍3161⩷∴⪎⋱⫍5C4+⇶⊼⪎⋱⫍A45≧⫂∧⪎⋱⫍2681)=NaN","reverse_text":"NaN=↩(((⪎⋱⫍1330⊪)/⪎⋱⫍78B⇼⇔∾⪎⋱⫍A20)*⪎⋱⫍3161⩷∴⪎⋱⫍5C4+⇶⊼⪎⋱⫍A45≧⫂∧⪎⋱⫍2681)","cot":[{"info":"⪎⋱⫍1330⊪=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍78B⇼⇔∾⪎⋱⫍A20=⪎⋱⫍262","layer":3},{"info":"⪎⋱⫍0/⪎⋱⫍262=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍3161⩷∴⪎⋱⫍5C4=⪎⋱⫍53B1","layer":3},{"info":"⪎⋱⫍A45≧⫂∧⪎⋱⫍2681=⪎⋱⫍23A9","layer":3},{"info":"⪎⋱⫍53B1+⇶⊼⪎⋱⫍23A9=NaN","layer":2},{"info":"⪎⋱⫍0*NaN=NaN","layer":1},{"info":"↩NaN=NaN","layer":0}]}
{"id":981,"expression_no_base_symbol":"((($4001$⪄$4033$)∧)⋷($6844$⫩⊇)%$1140$⋝⋈⪟$7056$)∑⇟⊟((($4444$⨐⩸⫘$1232$)≦≮≮)+(↣≠⋷($9553$∀⇚≩$4531$)))","expression":"(((⪎⋱⫍1A8A⪄⪎⋱⫍1AB3)∧)⋷(⪎⋱⫍3166⫩⊇)%⪎⋱⫍699⋝⋈⪟⪎⋱⫍329A)∑⇟⊟(((⪎⋱⫍203B⨐⩸⫘⪎⋱⫍73A)≦≮≮)+(↣≠⋷(⪎⋱⫍446B∀⇚≩⪎⋱⫍20A7)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":66995,"operation_count":12,"complexity_ratio":5582.916666666667,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":4001,"base":13},"right_expr":{"type":"numeric_atoms","value":4033,"base":13}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":6844,"base":13}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1140,"base":13},"right_expr":{"type":"numeric_atoms","value":7056,"base":13}}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":4444,"base":13},"right_expr":{"type":"numeric_atoms","value":1232,"base":13}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":9553,"base":13},"right_expr":{"type":"numeric_atoms","value":4531,"base":13}}}}},"used_operators":["U7g4x0WXJJ","23Mk6UjR3U","z63VuFQld9","SUmda5xLS4","k8jYdgA6NY","BjRHVeLaeN","2DDjHMKMc0","W4YGzv6Whe","D4vGDi5EA2","fu6greOZ01","Asc51vEJeQ","LRNGc0VcxI"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","XhwjNDsVaA","AHs5Up7iyr","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4001","layer":4},{"info":"number node, value=4033","layer":4},{"info":"compute binary expreesion, left_input=4001, right_input=4033, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-604369","layer":3},{"info":"compute unary expreesion, input=-604369, 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=6844","layer":4},{"info":"compute unary expreesion, input=6844, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-6802","layer":3},{"info":"number node, value=1140","layer":4},{"info":"number node, value=7056","layer":4},{"info":"compute binary expreesion, left_input=1140, right_input=7056, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1140","layer":3},{"info":"compute binary expreesion, left_input=-6802, right_input=1140, op_id = k8jYdgA6NY binary_op_definition= 'None', output=38","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=38, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=0","layer":1},{"info":"number node, value=4444","layer":4},{"info":"number node, value=1232","layer":4},{"info":"compute binary expreesion, left_input=4444, right_input=1232, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if 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 = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=nan","layer":2},{"info":"number node, value=9553","layer":4},{"info":"number node, value=4531","layer":4},{"info":"compute binary expreesion, left_input=9553, right_input=4531, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = 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 = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(((⪎⋱⫍1A8A⪄⪎⋱⫍1AB3)∧)⋷(⪎⋱⫍3166⫩⊇)%⪎⋱⫍699⋝⋈⪟⪎⋱⫍329A)∑⇟⊟(((⪎⋱⫍203B⨐⩸⫘⪎⋱⫍73A)≦≮≮)+(↣≠⋷(⪎⋱⫍446B∀⇚≩⪎⋱⫍20A7)))=NaN","reverse_text":"NaN=(((⪎⋱⫍1A8A⪄⪎⋱⫍1AB3)∧)⋷(⪎⋱⫍3166⫩⊇)%⪎⋱⫍699⋝⋈⪟⪎⋱⫍329A)∑⇟⊟(((⪎⋱⫍203B⨐⩸⫘⪎⋱⫍73A)≦≮≮)+(↣≠⋷(⪎⋱⫍446B∀⇚≩⪎⋱⫍20A7)))","cot":[{"info":"⪎⋱⫍1A8A⪄⪎⋱⫍1AB3=⪎⋱⫍-18211C","layer":3},{"info":"⪎⋱⫍-18211C∧=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍3166⫩⊇=⪎⋱⫍-3133","layer":3},{"info":"⪎⋱⫍699⋝⋈⪟⪎⋱⫍329A=⪎⋱⫍699","layer":3},{"info":"⪎⋱⫍-3133%⪎⋱⫍699=⪎⋱⫍2C","layer":2},{"info":"⪎⋱⫍0⋷⪎⋱⫍2C=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍203B⨐⩸⫘⪎⋱⫍73A=NaN","layer":3},{"info":"NaN≦≮≮=NaN","layer":2},{"info":"⪎⋱⫍446B∀⇚≩⪎⋱⫍20A7=NaN","layer":3},{"info":"↣≠⋷NaN=NaN","layer":2},{"info":"NaN+NaN=NaN","layer":1},{"info":"⪎⋱⫍0∑⇟⊟NaN=NaN","layer":0}]}
{"id":982,"expression_no_base_symbol":"((-$1410$*$1363$)⋷(∂($1510$⨸⪁$3145$)))*((⊙↵-($1230$⨵⪆$4039$))⋷$1260$≹⇙⪍$2334$⊴(-$3556$))","expression":"((-⪎⋱⫍846*⪎⋱⫍80B)⋷(∂(⪎⋱⫍8C2⨸⪁⪎⋱⫍157C)))*((⊙↵-(⪎⋱⫍738⨵⪆⪎⋱⫍1AB9))⋷⪎⋱⫍75C≹⇙⪍⪎⋱⫍10A7⊴(-⪎⋱⫍1807))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":5124,"operation_count":12,"complexity_ratio":427.0,"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":1410,"base":13},"right_expr":{"type":"numeric_atoms","value":1363,"base":13}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1510,"base":13},"right_expr":{"type":"numeric_atoms","value":3145,"base":13}}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1230,"base":13},"right_expr":{"type":"numeric_atoms","value":4039,"base":13}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1260,"base":13},"right_expr":{"type":"numeric_atoms","value":2334,"base":13}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":3556,"base":13}}}}},"used_operators":["9HNa5Wba9A","23Mk6UjR3U","t8gj7n24qd","Uaa54Peajs","g55IO6H4Gj","oWn0xqSxBt","2DQ55sFlQl","Nsiff2A1zJ","AHs5Up7iyr"],"dependent_operators":["W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","dWAJyo7jo9"],"result":"⪎⋱⫍0","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1410","layer":4},{"info":"number node, value=1363","layer":4},{"info":"compute binary expreesion, left_input=1410, right_input=1363, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=1921830","layer":3},{"info":"compute unary expreesion, input=1921830, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1921830","layer":2},{"info":"number node, value=1510","layer":4},{"info":"number node, value=3145","layer":4},{"info":"compute binary expreesion, left_input=1510, right_input=3145, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=9310","layer":3},{"info":"compute unary expreesion, input=9310, 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=-1921830, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=3843660","layer":1},{"info":"number node, value=1230","layer":4},{"info":"number node, value=4039","layer":4},{"info":"compute binary expreesion, left_input=1230, right_input=4039, 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 = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=0","layer":2},{"info":"number node, value=1260","layer":4},{"info":"number node, value=2334","layer":4},{"info":"compute binary expreesion, left_input=1260, right_input=2334, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=3556","layer":4},{"info":"compute unary expreesion, input=3556, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-3556","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3556, 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 = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=3843660, right_input=0, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=0","layer":0}],"base":13,"result_base":13,"text":"((-⪎⋱⫍846*⪎⋱⫍80B)⋷(∂(⪎⋱⫍8C2⨸⪁⪎⋱⫍157C)))*((⊙↵-(⪎⋱⫍738⨵⪆⪎⋱⫍1AB9))⋷⪎⋱⫍75C≹⇙⪍⪎⋱⫍10A7⊴(-⪎⋱⫍1807))=⪎⋱⫍0","reverse_text":"⪎⋱⫍0=((-⪎⋱⫍846*⪎⋱⫍80B)⋷(∂(⪎⋱⫍8C2⨸⪁⪎⋱⫍157C)))*((⊙↵-(⪎⋱⫍738⨵⪆⪎⋱⫍1AB9))⋷⪎⋱⫍75C≹⇙⪍⪎⋱⫍10A7⊴(-⪎⋱⫍1807))","cot":[{"info":"⪎⋱⫍846*⪎⋱⫍80B=⪎⋱⫍5239A1","layer":3},{"info":"-⪎⋱⫍5239A1=⪎⋱⫍-5239A1","layer":2},{"info":"⪎⋱⫍8C2⨸⪁⪎⋱⫍157C=⪎⋱⫍4312","layer":3},{"info":"∂⪎⋱⫍4312=NaN","layer":2},{"info":"⪎⋱⫍-5239A1⋷NaN=⪎⋱⫍A47672","layer":1},{"info":"⪎⋱⫍738⨵⪆⪎⋱⫍1AB9=⪎⋱⫍C4","layer":3},{"info":"⊙↵-⪎⋱⫍C4=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍75C≹⇙⪍⪎⋱⫍10A7=NaN","layer":3},{"info":"-⪎⋱⫍1807=⪎⋱⫍-1807","layer":3},{"info":"NaN⊴⪎⋱⫍-1807=NaN","layer":2},{"info":"⪎⋱⫍0⋷NaN=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍A47672*⪎⋱⫍0=⪎⋱⫍0","layer":0}]}
{"id":983,"expression_no_base_symbol":"((≉($3872$⪨≂$5782$))⊉≛↸($4246$⪄$3138$⪨≂$2068$⩷∴$1335$))⪄((⊥(⫓⪴$1096$))⊉≛↸(⩦⩻⨪$1530$)⨰($2794$⨽$2682$))","expression":"((≉(⪎⋱⫍19BB⪨≂⪎⋱⫍282A))⊉≛↸(⪎⋱⫍1C18⪄⪎⋱⫍1575⪨≂⪎⋱⫍C31⩷∴⪎⋱⫍7B9))⪄((⊥(⫓⪴⪎⋱⫍664))⊉≛↸(⩦⩻⨪⪎⋱⫍909)⨰(⪎⋱⫍136C⨽⪎⋱⫍12B4))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":4121,"operation_count":13,"complexity_ratio":317.0,"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":3872,"base":13},"right_expr":{"type":"numeric_atoms","value":5782,"base":13}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":4246,"base":13},"right_expr":{"type":"numeric_atoms","value":3138,"base":13}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2068,"base":13},"right_expr":{"type":"numeric_atoms","value":1335,"base":13}}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":1096,"base":13}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":1530,"base":13}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2794,"base":13},"right_expr":{"type":"numeric_atoms","value":2682,"base":13}}}}},"used_operators":["SUmda5xLS4","DZ8iAZOCBD","e1ybzncUwg","sdazOOVcIp","9FxExcQeMw","Q3PJZHRvZv","eLxqMNBOBk","eewbuw0ToL","2td37pGCOC","8HhzD0ZcuI"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","fu6greOZ01","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3872","layer":4},{"info":"number node, value=5782","layer":4},{"info":"compute binary expreesion, left_input=3872, right_input=5782, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-3718","layer":3},{"info":"compute unary expreesion, input=-3718, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=-3718","layer":2},{"info":"number node, value=4246","layer":4},{"info":"number node, value=3138","layer":4},{"info":"compute binary expreesion, left_input=4246, right_input=3138, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-637049","layer":3},{"info":"number node, value=2068","layer":4},{"info":"number node, value=1335","layer":4},{"info":"compute binary expreesion, left_input=2068, right_input=1335, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=1434","layer":3},{"info":"compute binary expreesion, left_input=-637049, right_input=1434, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-1276864","layer":2},{"info":"compute binary expreesion, left_input=-3718, right_input=-1276864, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=1276864","layer":1},{"info":"number node, value=1096","layer":4},{"info":"compute unary expreesion, input=1096, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=1201216","layer":3},{"info":"compute unary expreesion, input=1201216, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"number node, value=1530","layer":4},{"info":"compute unary expreesion, input=1530, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1530","layer":3},{"info":"number node, value=2794","layer":4},{"info":"number node, value=2682","layer":4},{"info":"compute binary expreesion, left_input=2794, right_input=2682, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-23426040","layer":3},{"info":"compute binary expreesion, left_input=1530, right_input=-23426040, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=23427580","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=23427580, 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=1276864, 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":13,"result_base":13,"text":"((≉(⪎⋱⫍19BB⪨≂⪎⋱⫍282A))⊉≛↸(⪎⋱⫍1C18⪄⪎⋱⫍1575⪨≂⪎⋱⫍C31⩷∴⪎⋱⫍7B9))⪄((⊥(⫓⪴⪎⋱⫍664))⊉≛↸(⩦⩻⨪⪎⋱⫍909)⨰(⪎⋱⫍136C⨽⪎⋱⫍12B4))=NaN","reverse_text":"NaN=((≉(⪎⋱⫍19BB⪨≂⪎⋱⫍282A))⊉≛↸(⪎⋱⫍1C18⪄⪎⋱⫍1575⪨≂⪎⋱⫍C31⩷∴⪎⋱⫍7B9))⪄((⊥(⫓⪴⪎⋱⫍664))⊉≛↸(⩦⩻⨪⪎⋱⫍909)⨰(⪎⋱⫍136C⨽⪎⋱⫍12B4))","cot":[{"info":"⪎⋱⫍19BB⪨≂⪎⋱⫍282A=⪎⋱⫍-1900","layer":3},{"info":"≉⪎⋱⫍-1900=⪎⋱⫍-1900","layer":2},{"info":"⪎⋱⫍1C18⪄⪎⋱⫍1575=⪎⋱⫍-193C6A","layer":3},{"info":"⪎⋱⫍C31⩷∴⪎⋱⫍7B9=⪎⋱⫍864","layer":3},{"info":"⪎⋱⫍-193C6A⪨≂⪎⋱⫍864=⪎⋱⫍-359254","layer":2},{"info":"⪎⋱⫍-1900⊉≛↸⪎⋱⫍-359254=⪎⋱⫍359254","layer":1},{"info":"⫓⪴⪎⋱⫍664=⪎⋱⫍3309A3","layer":3},{"info":"⊥⪎⋱⫍3309A3=NaN","layer":2},{"info":"⩦⩻⨪⪎⋱⫍909=⪎⋱⫍909","layer":3},{"info":"⪎⋱⫍136C⨽⪎⋱⫍12B4=⪎⋱⫍-4B12981","layer":3},{"info":"⪎⋱⫍909⨰⪎⋱⫍-4B12981=⪎⋱⫍4B13597","layer":2},{"info":"NaN⊉≛↸⪎⋱⫍4B13597=NaN","layer":1},{"info":"⪎⋱⫍359254⪄NaN=NaN","layer":0}]}
{"id":984,"expression_no_base_symbol":"(⨰⫟⨤($6199$⪄$7661$))⩷∴(($8840$⩷∴$3073$)⊪)⨰((∂($3535$⪒$1240$))⪄(∂$4945$)⩷∴(⊄⩳↩$5611$))","expression":"(⨰⫟⨤(⪎⋱⫍2A8B⪄⪎⋱⫍3644))⩷∴((⪎⋱⫍4040⩷∴⪎⋱⫍1525)⊪)⨰((∂(⪎⋱⫍17BC⪒⪎⋱⫍745))⪄(∂⪎⋱⫍2335)⩷∴(⊄⩳↩⪎⋱⫍2728))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":3778302,"operation_count":12,"complexity_ratio":314858.5,"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":6199,"base":13},"right_expr":{"type":"numeric_atoms","value":7661,"base":13}}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":8840,"base":13},"right_expr":{"type":"numeric_atoms","value":3073,"base":13}}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":3535,"base":13},"right_expr":{"type":"numeric_atoms","value":1240,"base":13}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":4945,"base":13}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":5611,"base":13}}}}},"used_operators":["eewbuw0ToL","9FxExcQeMw","Tw270M8GLb","SUmda5xLS4","zVYPLywUTj","Uaa54Peajs","f6k1SAg4EE","8w2t5hMYqp"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=6199","layer":4},{"info":"number node, value=7661","layer":4},{"info":"compute binary expreesion, left_input=6199, right_input=7661, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-944185","layer":3},{"info":"compute unary expreesion, input=-944185, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":2},{"info":"number node, value=8840","layer":4},{"info":"number node, value=3073","layer":4},{"info":"compute binary expreesion, left_input=8840, right_input=3073, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=11502","layer":3},{"info":"compute unary expreesion, input=11502, 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 = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":1},{"info":"number node, value=3535","layer":4},{"info":"number node, value=1240","layer":4},{"info":"compute binary expreesion, left_input=3535, right_input=1240, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4775","layer":3},{"info":"compute unary expreesion, input=-4775, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=4511","layer":2},{"info":"number node, value=4945","layer":4},{"info":"compute unary expreesion, input=4945, 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=5611","layer":4},{"info":"compute unary expreesion, input=5611, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-16833","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-16833, 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=4511, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⨰⫟⨤(⪎⋱⫍2A8B⪄⪎⋱⫍3644))⩷∴((⪎⋱⫍4040⩷∴⪎⋱⫍1525)⊪)⨰((∂(⪎⋱⫍17BC⪒⪎⋱⫍745))⪄(∂⪎⋱⫍2335)⩷∴(⊄⩳↩⪎⋱⫍2728))=NaN","reverse_text":"NaN=(⨰⫟⨤(⪎⋱⫍2A8B⪄⪎⋱⫍3644))⩷∴((⪎⋱⫍4040⩷∴⪎⋱⫍1525)⊪)⨰((∂(⪎⋱⫍17BC⪒⪎⋱⫍745))⪄(∂⪎⋱⫍2335)⩷∴(⊄⩳↩⪎⋱⫍2728))","cot":[{"info":"⪎⋱⫍2A8B⪄⪎⋱⫍3644=⪎⋱⫍-2709B8","layer":3},{"info":"⨰⫟⨤⪎⋱⫍-2709B8=NaN","layer":2},{"info":"⪎⋱⫍4040⩷∴⪎⋱⫍1525=⪎⋱⫍530A","layer":3},{"info":"⪎⋱⫍530A⊪=⪎⋱⫍0","layer":2},{"info":"NaN⩷∴⪎⋱⫍0=NaN","layer":1},{"info":"⪎⋱⫍17BC⪒⪎⋱⫍745=⪎⋱⫍-2234","layer":3},{"info":"∂⪎⋱⫍-2234=⪎⋱⫍2090","layer":2},{"info":"∂⪎⋱⫍2335=NaN","layer":3},{"info":"⊄⩳↩⪎⋱⫍2728=⪎⋱⫍-787B","layer":3},{"info":"NaN⩷∴⪎⋱⫍-787B=NaN","layer":2},{"info":"⪎⋱⫍2090⪄NaN=NaN","layer":1},{"info":"NaN⨰NaN=NaN","layer":0}]}
{"id":985,"expression_no_base_symbol":"($1695$≧⫂∧$3560$↙$3173$≎⊠⪸$2137$⫸⊐(+⊝⨔$3214$)⇷($2286$⩨$2481$))⋥≓≎($1282$⊭↱$1176$+($1155$⩤)+(≦∁(-$3245$)))","expression":"(⪎⋱⫍A05≧⫂∧⪎⋱⫍180B↙⪎⋱⫍15A1≎⊠⪸⪎⋱⫍C85⫸⊐(+⊝⨔⪎⋱⫍1603)⇷(⪎⋱⫍106B⩨⪎⋱⫍118B))⋥≓≎(⪎⋱⫍778⊭↱⪎⋱⫍6C6+(⪎⋱⫍6AB⩤)+(≦∁(-⪎⋱⫍1628)))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":843020,"operation_count":14,"complexity_ratio":60215.71428571428,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1695,"base":13},"right_expr":{"type":"numeric_atoms","value":3560,"base":13}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":3173,"base":13},"right_expr":{"type":"numeric_atoms","value":2137,"base":13}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":3214,"base":13}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2286,"base":13},"right_expr":{"type":"numeric_atoms","value":2481,"base":13}}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1282,"base":13},"right_expr":{"type":"numeric_atoms","value":1176,"base":13}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":1155,"base":13}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":3245,"base":13}}}}},"used_operators":["Qy55tPpLXF","mqXw5SEYmG","yyfyN0ffXY","Ph9nP6C5qx","bJkvcejdHO","mp7IySMOzn","DhbWaqg5eL","2DlMacCsIx","W4YGzv6Whe","COABgblf1C","Z2TMIBDE3Q","9ICcGScMcE","t8gj7n24qd"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"⪎⋱⫍-17B2","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1695","layer":4},{"info":"number node, value=3560","layer":4},{"info":"compute binary expreesion, left_input=1695, right_input=3560, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=3087","layer":3},{"info":"number node, value=3173","layer":4},{"info":"number node, value=2137","layer":4},{"info":"compute binary expreesion, left_input=3173, right_input=2137, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=821334","layer":3},{"info":"compute binary expreesion, left_input=3087, right_input=821334, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-2464002","layer":2},{"info":"number node, value=3214","layer":4},{"info":"compute unary expreesion, input=3214, 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=2286","layer":4},{"info":"number node, value=2481","layer":4},{"info":"compute binary expreesion, left_input=2286, right_input=2481, 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=1522, right_input=-3, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=-6","layer":2},{"info":"compute binary expreesion, left_input=-2464002, right_input=-6, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=968","layer":1},{"info":"number node, value=1282","layer":4},{"info":"number node, value=1176","layer":4},{"info":"compute binary expreesion, left_input=1282, right_input=1176, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-207","layer":3},{"info":"number node, value=1155","layer":4},{"info":"compute unary expreesion, input=1155, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-1155","layer":3},{"info":"compute binary expreesion, left_input=-207, right_input=-1155, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-1362","layer":2},{"info":"number node, value=3245","layer":4},{"info":"compute unary expreesion, input=3245, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-3245","layer":3},{"info":"compute unary expreesion, input=-3245, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=-1362, right_input=67, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-1295","layer":1},{"info":"compute binary expreesion, left_input=968, right_input=-1295, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-3525","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍A05≧⫂∧⪎⋱⫍180B↙⪎⋱⫍15A1≎⊠⪸⪎⋱⫍C85⫸⊐(+⊝⨔⪎⋱⫍1603)⇷(⪎⋱⫍106B⩨⪎⋱⫍118B))⋥≓≎(⪎⋱⫍778⊭↱⪎⋱⫍6C6+(⪎⋱⫍6AB⩤)+(≦∁(-⪎⋱⫍1628)))=⪎⋱⫍-17B2","reverse_text":"⪎⋱⫍-17B2=(⪎⋱⫍A05≧⫂∧⪎⋱⫍180B↙⪎⋱⫍15A1≎⊠⪸⪎⋱⫍C85⫸⊐(+⊝⨔⪎⋱⫍1603)⇷(⪎⋱⫍106B⩨⪎⋱⫍118B))⋥≓≎(⪎⋱⫍778⊭↱⪎⋱⫍6C6+(⪎⋱⫍6AB⩤)+(≦∁(-⪎⋱⫍1628)))","cot":[{"info":"⪎⋱⫍A05≧⫂∧⪎⋱⫍180B=⪎⋱⫍1536","layer":3},{"info":"⪎⋱⫍15A1≎⊠⪸⪎⋱⫍C85=⪎⋱⫍229AC7","layer":3},{"info":"⪎⋱⫍1536↙⪎⋱⫍229AC7=⪎⋱⫍-6836B8","layer":2},{"info":"+⊝⨔⪎⋱⫍1603=⪎⋱⫍901","layer":3},{"info":"⪎⋱⫍106B⩨⪎⋱⫍118B=⪎⋱⫍-3","layer":3},{"info":"⪎⋱⫍901⇷⪎⋱⫍-3=⪎⋱⫍-6","layer":2},{"info":"⪎⋱⫍-6836B8⫸⊐⪎⋱⫍-6=⪎⋱⫍596","layer":1},{"info":"⪎⋱⫍778⊭↱⪎⋱⫍6C6=⪎⋱⫍-12C","layer":3},{"info":"⪎⋱⫍6AB⩤=⪎⋱⫍-6AB","layer":3},{"info":"⪎⋱⫍-12C+⪎⋱⫍-6AB=⪎⋱⫍-80A","layer":2},{"info":"-⪎⋱⫍1628=⪎⋱⫍-1628","layer":3},{"info":"≦∁⪎⋱⫍-1628=⪎⋱⫍52","layer":2},{"info":"⪎⋱⫍-80A+⪎⋱⫍52=⪎⋱⫍-788","layer":1},{"info":"⪎⋱⫍596⋥≓≎⪎⋱⫍-788=⪎⋱⫍-17B2","layer":0}]}
{"id":986,"expression_no_base_symbol":"(($3682$⨳⩥⨓$7893$)⩚⊴⇥($1983$∧)⫸⊐(⫓⪴($4749$⊉≛↸$5999$)))⫥∨⫟(≤/$1827$+⇶⊼$2755$⫥∨⫟(-$3640$))","expression":"((⪎⋱⫍18A3⨳⩥⨓⪎⋱⫍3792)⩚⊴⇥(⪎⋱⫍B97∧)⫸⊐(⫓⪴(⪎⋱⫍2214⊉≛↸⪎⋱⫍2966)))⫥∨⫟(≤/⪎⋱⫍AA7+⇶⊼⪎⋱⫍133C⫥∨⫟(-⪎⋱⫍1870))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":9827,"operation_count":11,"complexity_ratio":893.3636363636364,"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":3682,"base":13},"right_expr":{"type":"numeric_atoms","value":7893,"base":13}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":1983,"base":13}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":4749,"base":13},"right_expr":{"type":"numeric_atoms","value":5999,"base":13}}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1827,"base":13},"right_expr":{"type":"numeric_atoms","value":2755,"base":13}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":3640,"base":13}}}}},"used_operators":["KYD54nUTWz","mqXw5SEYmG","NTOWxs364D","nCS4ZIUYfx","z63VuFQld9","eLxqMNBOBk","DZ8iAZOCBD","eLAdDNolq6","TpPTUOHfaN","t8gj7n24qd"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3682","layer":4},{"info":"number node, value=7893","layer":4},{"info":"compute binary expreesion, left_input=3682, right_input=7893, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=4211","layer":3},{"info":"number node, value=1983","layer":4},{"info":"compute unary expreesion, input=1983, 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=4211, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":2},{"info":"number node, value=4749","layer":4},{"info":"number node, value=5999","layer":4},{"info":"compute binary expreesion, left_input=4749, right_input=5999, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=9498","layer":3},{"info":"compute unary expreesion, input=9498, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=90212004","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=90212004, 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=1827","layer":4},{"info":"number node, value=2755","layer":4},{"info":"compute binary expreesion, left_input=1827, right_input=2755, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if 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=3640","layer":4},{"info":"compute unary expreesion, input=3640, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-3640","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3640, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=nan","layer":1},{"info":"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":13,"result_base":13,"text":"((⪎⋱⫍18A3⨳⩥⨓⪎⋱⫍3792)⩚⊴⇥(⪎⋱⫍B97∧)⫸⊐(⫓⪴(⪎⋱⫍2214⊉≛↸⪎⋱⫍2966)))⫥∨⫟(≤/⪎⋱⫍AA7+⇶⊼⪎⋱⫍133C⫥∨⫟(-⪎⋱⫍1870))=NaN","reverse_text":"NaN=((⪎⋱⫍18A3⨳⩥⨓⪎⋱⫍3792)⩚⊴⇥(⪎⋱⫍B97∧)⫸⊐(⫓⪴(⪎⋱⫍2214⊉≛↸⪎⋱⫍2966)))⫥∨⫟(≤/⪎⋱⫍AA7+⇶⊼⪎⋱⫍133C⫥∨⫟(-⪎⋱⫍1870))","cot":[{"info":"⪎⋱⫍18A3⨳⩥⨓⪎⋱⫍3792=⪎⋱⫍1BBC","layer":3},{"info":"⪎⋱⫍B97∧=NaN","layer":3},{"info":"⪎⋱⫍1BBC⩚⊴⇥NaN=NaN","layer":2},{"info":"⪎⋱⫍2214⊉≛↸⪎⋱⫍2966=⪎⋱⫍4428","layer":3},{"info":"⫓⪴⪎⋱⫍4428=⪎⋱⫍158C75AC","layer":2},{"info":"NaN⫸⊐⪎⋱⫍158C75AC=NaN","layer":1},{"info":"⪎⋱⫍AA7+⇶⊼⪎⋱⫍133C=NaN","layer":3},{"info":"-⪎⋱⫍1870=⪎⋱⫍-1870","layer":3},{"info":"NaN⫥∨⫟⪎⋱⫍-1870=NaN","layer":2},{"info":"≤/NaN=NaN","layer":1},{"info":"NaN⫥∨⫟NaN=NaN","layer":0}]}
{"id":987,"expression_no_base_symbol":"⇁⨣⪵($1029$⩚⊴⇥$3384$⊘)⇷($2340$⨟⋌⩍$1257$*($6153$∲⫓$1926$))","expression":"⇁⨣⪵(⪎⋱⫍612⩚⊴⇥⪎⋱⫍1704⊘)⇷(⪎⋱⫍10B0⨟⋌⩍⪎⋱⫍759*(⪎⋱⫍2A54∲⫓⪎⋱⫍B52))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":49,"operation_count":7,"complexity_ratio":7.0,"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":1029,"base":13},"right_expr":{"type":"numeric_atoms","value":3384,"base":13}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2340,"base":13},"right_expr":{"type":"numeric_atoms","value":1257,"base":13}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":6153,"base":13},"right_expr":{"type":"numeric_atoms","value":1926,"base":13}}}}},"used_operators":["inkyxCbjAn","mp7IySMOzn","gu96TGCTMs","NTOWxs364D","9HNa5Wba9A","rGHVDoGpnC","i8ToyICDmI"],"dependent_operators":["B5M0gjZbta","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1029","layer":4},{"info":"number node, value=3384","layer":4},{"info":"compute binary expreesion, left_input=1029, right_input=3384, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4534","layer":3},{"info":"compute unary expreesion, input=-4534, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=-1","layer":2},{"info":"number node, value=2340","layer":4},{"info":"number node, value=1257","layer":4},{"info":"compute binary expreesion, left_input=2340, right_input=1257, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=6153","layer":4},{"info":"number node, value=1926","layer":4},{"info":"compute binary expreesion, left_input=6153, right_input=1926, 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 = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-1, 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 = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⇁⨣⪵(⪎⋱⫍612⩚⊴⇥⪎⋱⫍1704⊘)⇷(⪎⋱⫍10B0⨟⋌⩍⪎⋱⫍759*(⪎⋱⫍2A54∲⫓⪎⋱⫍B52))=NaN","reverse_text":"NaN=⇁⨣⪵(⪎⋱⫍612⩚⊴⇥⪎⋱⫍1704⊘)⇷(⪎⋱⫍10B0⨟⋌⩍⪎⋱⫍759*(⪎⋱⫍2A54∲⫓⪎⋱⫍B52))","cot":[{"info":"⪎⋱⫍612⩚⊴⇥⪎⋱⫍1704=⪎⋱⫍-20AA","layer":3},{"info":"⪎⋱⫍-20AA⊘=⪎⋱⫍-1","layer":2},{"info":"⪎⋱⫍10B0⨟⋌⩍⪎⋱⫍759=NaN","layer":3},{"info":"⪎⋱⫍2A54∲⫓⪎⋱⫍B52=⪎⋱⫍0","layer":3},{"info":"NaN*⪎⋱⫍0=NaN","layer":2},{"info":"⪎⋱⫍-1⇷NaN=NaN","layer":1},{"info":"⇁⨣⪵NaN=NaN","layer":0}]}
{"id":988,"expression_no_base_symbol":"(($3171$∲⫓$2817$)%$1556$⨽$3109$)⋳⪒$1901$∀⇚≩$3373$⋓($1163$↙$1047$)↺((∥⊫$2412$⨰$1059$)↙((∂$3605$)↺($1724$-$3065$)))","expression":"((⪎⋱⫍159C∲⫓⪎⋱⫍1389)%⪎⋱⫍929⨽⪎⋱⫍1552)⋳⪒⪎⋱⫍B33∀⇚≩⪎⋱⫍16C6⋓(⪎⋱⫍6B6↙⪎⋱⫍627)↺((∥⊫⪎⋱⫍1137⨰⪎⋱⫍636)↙((∂⪎⋱⫍1844)↺(⪎⋱⫍A28-⪎⋱⫍151A)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":17305,"operation_count":14,"complexity_ratio":1236.0714285714287,"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":3171,"base":13},"right_expr":{"type":"numeric_atoms","value":2817,"base":13}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1556,"base":13},"right_expr":{"type":"numeric_atoms","value":3109,"base":13}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1901,"base":13},"right_expr":{"type":"numeric_atoms","value":3373,"base":13}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1163,"base":13},"right_expr":{"type":"numeric_atoms","value":1047,"base":13}}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2412,"base":13},"right_expr":{"type":"numeric_atoms","value":1059,"base":13}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":3605,"base":13}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1724,"base":13},"right_expr":{"type":"numeric_atoms","value":3065,"base":13}}}}},"used_operators":["7j4O788W3g","12rbrZMWeM","k8jYdgA6NY","i8ToyICDmI","8HhzD0ZcuI","T2fj7uvVaJ","LRNGc0VcxI","yyfyN0ffXY","P8v4zCKN1o","eewbuw0ToL","Uaa54Peajs","rysDP5nf3Z"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","X99M06cbEe","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"⪎⋱⫍-1AA6","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3171","layer":4},{"info":"number node, value=2817","layer":4},{"info":"compute binary expreesion, left_input=3171, right_input=2817, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=1556","layer":4},{"info":"number node, value=3109","layer":4},{"info":"compute binary expreesion, left_input=1556, right_input=3109, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-7271421","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-7271421, op_id = k8jYdgA6NY binary_op_definition= 'None', output=0","layer":2},{"info":"number node, value=1901","layer":4},{"info":"number node, value=3373","layer":4},{"info":"compute binary expreesion, left_input=1901, right_input=3373, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=1163","layer":4},{"info":"number node, value=1047","layer":4},{"info":"compute binary expreesion, left_input=1163, right_input=1047, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3141","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3141, op_id = T2fj7uvVaJ binary_op_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 = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-287","layer":1},{"info":"number node, value=2412","layer":4},{"info":"number node, value=1059","layer":4},{"info":"compute binary expreesion, left_input=2412, right_input=1059, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1363","layer":3},{"info":"compute unary expreesion, input=1363, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2231","layer":2},{"info":"number node, value=3605","layer":4},{"info":"compute unary expreesion, input=3605, 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=1724","layer":4},{"info":"number node, value=3065","layer":4},{"info":"compute binary expreesion, left_input=1724, right_input=3065, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-1341","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1341, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-1341","layer":2},{"info":"compute binary expreesion, left_input=2231, right_input=-1341, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-4023","layer":1},{"info":"compute binary expreesion, left_input=-287, right_input=-4023, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-4023","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍159C∲⫓⪎⋱⫍1389)%⪎⋱⫍929⨽⪎⋱⫍1552)⋳⪒⪎⋱⫍B33∀⇚≩⪎⋱⫍16C6⋓(⪎⋱⫍6B6↙⪎⋱⫍627)↺((∥⊫⪎⋱⫍1137⨰⪎⋱⫍636)↙((∂⪎⋱⫍1844)↺(⪎⋱⫍A28-⪎⋱⫍151A)))=⪎⋱⫍-1AA6","reverse_text":"⪎⋱⫍-1AA6=((⪎⋱⫍159C∲⫓⪎⋱⫍1389)%⪎⋱⫍929⨽⪎⋱⫍1552)⋳⪒⪎⋱⫍B33∀⇚≩⪎⋱⫍16C6⋓(⪎⋱⫍6B6↙⪎⋱⫍627)↺((∥⊫⪎⋱⫍1137⨰⪎⋱⫍636)↙((∂⪎⋱⫍1844)↺(⪎⋱⫍A28-⪎⋱⫍151A)))","cot":[{"info":"⪎⋱⫍159C∲⫓⪎⋱⫍1389=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍929⨽⪎⋱⫍1552=⪎⋱⫍-1677921","layer":3},{"info":"⪎⋱⫍0%⪎⋱⫍-1677921=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍B33∀⇚≩⪎⋱⫍16C6=NaN","layer":3},{"info":"⪎⋱⫍6B6↙⪎⋱⫍627=⪎⋱⫍-1578","layer":3},{"info":"NaN⋓⪎⋱⫍-1578=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍0⋳⪒⪎⋱⫍0=⪎⋱⫍-191","layer":1},{"info":"⪎⋱⫍1137⨰⪎⋱⫍636=⪎⋱⫍80B","layer":3},{"info":"∥⊫⪎⋱⫍80B=⪎⋱⫍1028","layer":2},{"info":"∂⪎⋱⫍1844=NaN","layer":3},{"info":"⪎⋱⫍A28-⪎⋱⫍151A=⪎⋱⫍-7C2","layer":3},{"info":"NaN↺⪎⋱⫍-7C2=⪎⋱⫍-7C2","layer":2},{"info":"⪎⋱⫍1028↙⪎⋱⫍-7C2=⪎⋱⫍-1AA6","layer":1},{"info":"⪎⋱⫍-191↺⪎⋱⫍-1AA6=⪎⋱⫍-1AA6","layer":0}]}
{"id":989,"expression_no_base_symbol":"((⨈⫕$1575$⪄$6056$)⩠)≭($3657$⨰$1960$%($5106$⫡⨏$3974$))⪘⫢($2649$⩚⊴⇥$7824$⋫)","expression":"((⨈⫕⪎⋱⫍942⪄⪎⋱⫍29AB)⩠)≭(⪎⋱⫍1884⨰⪎⋱⫍B7A%(⪎⋱⫍242A⫡⨏⪎⋱⫍1A69))⪘⫢(⪎⋱⫍128A⩚⊴⇥⪎⋱⫍373B⋫)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":12200,"operation_count":10,"complexity_ratio":1220.0,"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":1575,"base":13},"right_expr":{"type":"numeric_atoms","value":6056,"base":13}}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":3657,"base":13},"right_expr":{"type":"numeric_atoms","value":1960,"base":13}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":5106,"base":13},"right_expr":{"type":"numeric_atoms","value":3974,"base":13}}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2649,"base":13},"right_expr":{"type":"numeric_atoms","value":7824,"base":13}}}}},"used_operators":["rxpJgHHUmx","sJAwomhLZr","megm06wKyl","SUmda5xLS4","oacrs7FA3X","k8jYdgA6NY","eewbuw0ToL","QMFrweE19q","JL8yIekQnl","NTOWxs364D"],"dependent_operators":["AHs5Up7iyr","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1575","layer":4},{"info":"number node, value=6056","layer":4},{"info":"compute binary expreesion, left_input=1575, right_input=6056, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-253413","layer":3},{"info":"compute unary expreesion, input=-253413, 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 = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=293","layer":1},{"info":"number node, value=3657","layer":4},{"info":"number node, value=1960","layer":4},{"info":"compute binary expreesion, left_input=3657, right_input=1960, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1707","layer":3},{"info":"number node, value=5106","layer":4},{"info":"number node, value=3974","layer":4},{"info":"compute binary expreesion, left_input=5106, right_input=3974, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=34261","layer":3},{"info":"compute binary expreesion, left_input=1707, right_input=34261, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1707","layer":2},{"info":"number node, value=2649","layer":4},{"info":"number node, value=7824","layer":4},{"info":"compute binary expreesion, left_input=2649, right_input=7824, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-10594","layer":3},{"info":"compute unary expreesion, input=-10594, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=-10594","layer":2},{"info":"compute binary expreesion, left_input=1707, right_input=-10594, 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=293, right_input=-1, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":0}],"base":13,"result_base":13,"text":"((⨈⫕⪎⋱⫍942⪄⪎⋱⫍29AB)⩠)≭(⪎⋱⫍1884⨰⪎⋱⫍B7A%(⪎⋱⫍242A⫡⨏⪎⋱⫍1A69))⪘⫢(⪎⋱⫍128A⩚⊴⇥⪎⋱⫍373B⋫)=NaN","reverse_text":"NaN=((⨈⫕⪎⋱⫍942⪄⪎⋱⫍29AB)⩠)≭(⪎⋱⫍1884⨰⪎⋱⫍B7A%(⪎⋱⫍242A⫡⨏⪎⋱⫍1A69))⪘⫢(⪎⋱⫍128A⩚⊴⇥⪎⋱⫍373B⋫)","cot":[{"info":"⪎⋱⫍942⪄⪎⋱⫍29AB=⪎⋱⫍-8B464","layer":3},{"info":"⨈⫕⪎⋱⫍-8B464=⪎⋱⫍-18","layer":2},{"info":"⪎⋱⫍-18⩠=⪎⋱⫍197","layer":1},{"info":"⪎⋱⫍1884⨰⪎⋱⫍B7A=⪎⋱⫍A14","layer":3},{"info":"⪎⋱⫍242A⫡⨏⪎⋱⫍1A69=⪎⋱⫍12796","layer":3},{"info":"⪎⋱⫍A14%⪎⋱⫍12796=⪎⋱⫍A14","layer":2},{"info":"⪎⋱⫍128A⩚⊴⇥⪎⋱⫍373B=⪎⋱⫍-4A8C","layer":3},{"info":"⪎⋱⫍-4A8C⋫=⪎⋱⫍-4A8C","layer":2},{"info":"⪎⋱⫍A14⪘⫢⪎⋱⫍-4A8C=⪎⋱⫍-1","layer":1},{"info":"⪎⋱⫍197≭⪎⋱⫍-1=NaN","layer":0}]}
{"id":990,"expression_no_base_symbol":"($1034$⪄$5933$)⇷(∂$4316$)⨓(⩦⩻⨪$6818$)∼(-$7373$)⨳⩥⨓(($2883$⪨≂$1250$)⇼⇔∾$1603$⪛$3219$)⪮%⊝((⊙↵-$1478$)⋥≓≎(⨞⊢$6591$))","expression":"(⪎⋱⫍617⪄⪎⋱⫍2915)⇷(∂⪎⋱⫍1C70)⨓(⩦⩻⨪⪎⋱⫍3146)∼(-⪎⋱⫍3482)⨳⩥⨓((⪎⋱⫍140A⪨≂⪎⋱⫍752)⇼⇔∾⪎⋱⫍964⪛⪎⋱⫍1608)⪮%⊝((⊙↵-⪎⋱⫍899)⋥≓≎(⨞⊢⪎⋱⫍3000))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2421743,"operation_count":15,"complexity_ratio":161449.53333333333,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1034,"base":13},"right_expr":{"type":"numeric_atoms","value":5933,"base":13}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":4316,"base":13}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":6818,"base":13}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":7373,"base":13}}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2883,"base":13},"right_expr":{"type":"numeric_atoms","value":1250,"base":13}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1603,"base":13},"right_expr":{"type":"numeric_atoms","value":3219,"base":13}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1478,"base":13}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":6591,"base":13}}}}},"used_operators":["nCS4ZIUYfx","3ViojmjbAp","mp7IySMOzn","SUmda5xLS4","Uaa54Peajs","DyGG3AbaNP","2td37pGCOC","t8gj7n24qd","IWmyXbctLI","tifHPKVTfV","sdazOOVcIp","uFcxV4UQCh","Qy55tPpLXF","oWn0xqSxBt","xUOZtlo3hN"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1034","layer":4},{"info":"number node, value=5933","layer":4},{"info":"compute binary expreesion, left_input=1034, right_input=5933, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-172853","layer":3},{"info":"number node, value=4316","layer":4},{"info":"compute unary expreesion, input=4316, 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=-172853, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"number node, value=6818","layer":4},{"info":"compute unary expreesion, input=6818, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=6818","layer":3},{"info":"number node, value=7373","layer":4},{"info":"compute unary expreesion, input=7373, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-7373","layer":3},{"info":"compute binary expreesion, left_input=6818, right_input=-7373, 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":"number node, value=2883","layer":4},{"info":"number node, value=1250","layer":4},{"info":"compute binary expreesion, left_input=2883, right_input=1250, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=3368","layer":3},{"info":"number node, value=1603","layer":4},{"info":"number node, value=3219","layer":4},{"info":"compute binary expreesion, left_input=1603, right_input=3219, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1603","layer":3},{"info":"compute binary expreesion, left_input=3368, right_input=1603, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-1765","layer":2},{"info":"number node, value=1478","layer":4},{"info":"compute unary expreesion, input=1478, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=6591","layer":4},{"info":"compute unary expreesion, input=6591, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-6765","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=-6765, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-13496","layer":2},{"info":"compute binary expreesion, left_input=-1765, right_input=-13496, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-3214","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-3214, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍617⪄⪎⋱⫍2915)⇷(∂⪎⋱⫍1C70)⨓(⩦⩻⨪⪎⋱⫍3146)∼(-⪎⋱⫍3482)⨳⩥⨓((⪎⋱⫍140A⪨≂⪎⋱⫍752)⇼⇔∾⪎⋱⫍964⪛⪎⋱⫍1608)⪮%⊝((⊙↵-⪎⋱⫍899)⋥≓≎(⨞⊢⪎⋱⫍3000))=NaN","reverse_text":"NaN=(⪎⋱⫍617⪄⪎⋱⫍2915)⇷(∂⪎⋱⫍1C70)⨓(⩦⩻⨪⪎⋱⫍3146)∼(-⪎⋱⫍3482)⨳⩥⨓((⪎⋱⫍140A⪨≂⪎⋱⫍752)⇼⇔∾⪎⋱⫍964⪛⪎⋱⫍1608)⪮%⊝((⊙↵-⪎⋱⫍899)⋥≓≎(⨞⊢⪎⋱⫍3000))","cot":[{"info":"⪎⋱⫍617⪄⪎⋱⫍2915=⪎⋱⫍-608A5","layer":3},{"info":"∂⪎⋱⫍1C70=NaN","layer":3},{"info":"⪎⋱⫍-608A5⇷NaN=NaN","layer":2},{"info":"⩦⩻⨪⪎⋱⫍3146=⪎⋱⫍3146","layer":3},{"info":"-⪎⋱⫍3482=⪎⋱⫍-3482","layer":3},{"info":"⪎⋱⫍3146∼⪎⋱⫍-3482=NaN","layer":2},{"info":"NaN⨓NaN=NaN","layer":1},{"info":"⪎⋱⫍140A⪨≂⪎⋱⫍752=⪎⋱⫍16C1","layer":3},{"info":"⪎⋱⫍964⪛⪎⋱⫍1608=⪎⋱⫍964","layer":3},{"info":"⪎⋱⫍16C1⇼⇔∾⪎⋱⫍964=⪎⋱⫍-A5A","layer":2},{"info":"⊙↵-⪎⋱⫍899=⪎⋱⫍-1","layer":3},{"info":"⨞⊢⪎⋱⫍3000=⪎⋱⫍-3105","layer":3},{"info":"⪎⋱⫍-1⋥≓≎⪎⋱⫍-3105=⪎⋱⫍-61B2","layer":2},{"info":"⪎⋱⫍-A5A⪮%⊝⪎⋱⫍-61B2=⪎⋱⫍-1603","layer":1},{"info":"NaN⨳⩥⨓⪎⋱⫍-1603=NaN","layer":0}]}
{"id":991,"expression_no_base_symbol":"(-$2816$⇷$8993$)⇷($2256$⨪↰⇹$3411$)⪛($2418$-$1244$)⋫","expression":"(-⪎⋱⫍1388⇷⪎⋱⫍412A)⇷(⪎⋱⫍1047⨪↰⇹⪎⋱⫍1725)⪛(⪎⋱⫍1140-⪎⋱⫍749)⋫","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":295666,"operation_count":7,"complexity_ratio":42238.0,"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":2816,"base":13},"right_expr":{"type":"numeric_atoms","value":8993,"base":13}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2256,"base":13},"right_expr":{"type":"numeric_atoms","value":3411,"base":13}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2418,"base":13},"right_expr":{"type":"numeric_atoms","value":1244,"base":13}}}}},"used_operators":["JL8yIekQnl","mp7IySMOzn","t8gj7n24qd","uFcxV4UQCh","tmPS8pqC7x","rysDP5nf3Z"],"dependent_operators":["tmPS8pqC7x","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rJVOvQCfKK"],"result":"⪎⋱⫍CA6","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2816","layer":4},{"info":"number node, value=8993","layer":4},{"info":"compute binary expreesion, left_input=2816, right_input=8993, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=17986","layer":3},{"info":"compute unary expreesion, input=17986, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-17986","layer":2},{"info":"number node, value=2256","layer":4},{"info":"number node, value=3411","layer":4},{"info":"compute binary expreesion, left_input=2256, right_input=3411, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=2256","layer":3},{"info":"number node, value=2418","layer":4},{"info":"number node, value=1244","layer":4},{"info":"compute binary expreesion, left_input=2418, right_input=1244, op_id = rysDP5nf3Z binary_op_definition= 'None', output=1174","layer":3},{"info":"compute binary expreesion, left_input=2256, right_input=1174, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1082","layer":2},{"info":"compute binary expreesion, left_input=-17986, right_input=1082, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2164","layer":1},{"info":"compute unary expreesion, input=2164, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=2164","layer":0}],"base":13,"result_base":13,"text":"(-⪎⋱⫍1388⇷⪎⋱⫍412A)⇷(⪎⋱⫍1047⨪↰⇹⪎⋱⫍1725)⪛(⪎⋱⫍1140-⪎⋱⫍749)⋫=⪎⋱⫍CA6","reverse_text":"⪎⋱⫍CA6=(-⪎⋱⫍1388⇷⪎⋱⫍412A)⇷(⪎⋱⫍1047⨪↰⇹⪎⋱⫍1725)⪛(⪎⋱⫍1140-⪎⋱⫍749)⋫","cot":[{"info":"⪎⋱⫍1388⇷⪎⋱⫍412A=⪎⋱⫍8257","layer":3},{"info":"-⪎⋱⫍8257=⪎⋱⫍-8257","layer":2},{"info":"⪎⋱⫍1047⨪↰⇹⪎⋱⫍1725=⪎⋱⫍1047","layer":3},{"info":"⪎⋱⫍1140-⪎⋱⫍749=⪎⋱⫍6C4","layer":3},{"info":"⪎⋱⫍1047⪛⪎⋱⫍6C4=⪎⋱⫍653","layer":2},{"info":"⪎⋱⫍-8257⇷⪎⋱⫍653=⪎⋱⫍CA6","layer":1},{"info":"⪎⋱⫍CA6⋫=⪎⋱⫍CA6","layer":0}]}
{"id":992,"expression_no_base_symbol":"⨵≀≌($3119$⊴$1423$+⇶⊼($1980$⪐)⊠≄⫣)","expression":"⨵≀≌(⪎⋱⫍155C⊴⪎⋱⫍856+⇶⊼(⪎⋱⫍B94⪐)⊠≄⫣)","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":10143,"operation_count":5,"complexity_ratio":2028.6,"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":3119,"base":13},"right_expr":{"type":"numeric_atoms","value":1423,"base":13}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":1980,"base":13}}}}},"used_operators":["srAu1WTS94","DIvbN7qnHd","TpPTUOHfaN","Nsiff2A1zJ","eH2TOUuTDT"],"dependent_operators":["glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=3119","layer":4},{"info":"number node, value=1423","layer":4},{"info":"compute binary expreesion, left_input=3119, right_input=1423, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=1980","layer":4},{"info":"compute unary expreesion, input=1980, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=3960","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3960, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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 = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"⨵≀≌(⪎⋱⫍155C⊴⪎⋱⫍856+⇶⊼(⪎⋱⫍B94⪐)⊠≄⫣)=NaN","reverse_text":"NaN=⨵≀≌(⪎⋱⫍155C⊴⪎⋱⫍856+⇶⊼(⪎⋱⫍B94⪐)⊠≄⫣)","cot":[{"info":"⪎⋱⫍155C⊴⪎⋱⫍856=NaN","layer":3},{"info":"⪎⋱⫍B94⪐=⪎⋱⫍1A58","layer":3},{"info":"NaN+⇶⊼⪎⋱⫍1A58=NaN","layer":2},{"info":"NaN⊠≄⫣=NaN","layer":1},{"info":"⨵≀≌NaN=NaN","layer":0}]}
{"id":993,"expression_no_base_symbol":"(⊥(≦∁$1112$))⋓($1225$⇷$1420$≧⫂∧(≤/$1241$))⪄(⇁⨣⪵((+⊝⨔$4337$)⪨≂$2897$⨸⪁$1098$))","expression":"(⊥(≦∁⪎⋱⫍677))⋓(⪎⋱⫍733⇷⪎⋱⫍853≧⫂∧(≤/⪎⋱⫍746))⪄(⇁⨣⪵((+⊝⨔⪎⋱⫍1C88)⪨≂⪎⋱⫍141B⨸⪁⪎⋱⫍666))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":17246,"operation_count":11,"complexity_ratio":1567.8181818181818,"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":1112,"base":13}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1225,"base":13},"right_expr":{"type":"numeric_atoms","value":1420,"base":13}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1241,"base":13}}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":4337,"base":13}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2897,"base":13},"right_expr":{"type":"numeric_atoms","value":1098,"base":13}}}}},"used_operators":["SUmda5xLS4","T2fj7uvVaJ","Q3PJZHRvZv","9ICcGScMcE","Ph9nP6C5qx","mp7IySMOzn","eLAdDNolq6","inkyxCbjAn","sdazOOVcIp","DhbWaqg5eL","g55IO6H4Gj"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","fu6greOZ01","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","B5M0gjZbta","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1112","layer":4},{"info":"compute unary expreesion, input=1112, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1112","layer":3},{"info":"compute unary expreesion, input=1112, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"number node, value=1225","layer":4},{"info":"number node, value=1420","layer":4},{"info":"compute binary expreesion, left_input=1225, right_input=1420, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2840","layer":3},{"info":"number node, value=1241","layer":4},{"info":"compute unary expreesion, input=1241, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-757","layer":3},{"info":"compute binary expreesion, left_input=2840, right_input=-757, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=3597","layer":2},{"info":"compute binary expreesion, left_input=nan, 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":1},{"info":"number node, value=4337","layer":4},{"info":"compute unary expreesion, input=4337, 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=2897","layer":4},{"info":"number node, value=1098","layer":4},{"info":"compute binary expreesion, left_input=2897, right_input=1098, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=7990","layer":3},{"info":"compute binary expreesion, left_input=1522, right_input=7990, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-12834","layer":2},{"info":"compute unary expreesion, input=-12834, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⊥(≦∁⪎⋱⫍677))⋓(⪎⋱⫍733⇷⪎⋱⫍853≧⫂∧(≤/⪎⋱⫍746))⪄(⇁⨣⪵((+⊝⨔⪎⋱⫍1C88)⪨≂⪎⋱⫍141B⨸⪁⪎⋱⫍666))=NaN","reverse_text":"NaN=(⊥(≦∁⪎⋱⫍677))⋓(⪎⋱⫍733⇷⪎⋱⫍853≧⫂∧(≤/⪎⋱⫍746))⪄(⇁⨣⪵((+⊝⨔⪎⋱⫍1C88)⪨≂⪎⋱⫍141B⨸⪁⪎⋱⫍666))","cot":[{"info":"≦∁⪎⋱⫍677=⪎⋱⫍677","layer":3},{"info":"⊥⪎⋱⫍677=NaN","layer":2},{"info":"⪎⋱⫍733⇷⪎⋱⫍853=⪎⋱⫍13A6","layer":3},{"info":"≤/⪎⋱⫍746=⪎⋱⫍-463","layer":3},{"info":"⪎⋱⫍13A6≧⫂∧⪎⋱⫍-463=⪎⋱⫍1839","layer":2},{"info":"NaN⋓⪎⋱⫍1839=⪎⋱⫍0","layer":1},{"info":"+⊝⨔⪎⋱⫍1C88=⪎⋱⫍901","layer":3},{"info":"⪎⋱⫍141B⨸⪁⪎⋱⫍666=⪎⋱⫍3838","layer":3},{"info":"⪎⋱⫍901⪨≂⪎⋱⫍3838=⪎⋱⫍-5AC3","layer":2},{"info":"⇁⨣⪵⪎⋱⫍-5AC3=NaN","layer":1},{"info":"⪎⋱⫍0⪄NaN=NaN","layer":0}]}
{"id":994,"expression_no_base_symbol":"($1661$⇋≉)≹⇙⪍(⊄⩳↩$3317$)⨰((⨰⫟⨤$3888$)∧)⨸⪁(↯⪼(⫓⪴$3453$))≹⇙⪍(($5693$⩨$2812$)⨐⩸⫘(⪝⪂⫅$7344$))","expression":"(⪎⋱⫍9AA⇋≉)≹⇙⪍(⊄⩳↩⪎⋱⫍1682)⨰((⨰⫟⨤⪎⋱⫍1A01)∧)⨸⪁(↯⪼(⫓⪴⪎⋱⫍1758))≹⇙⪍((⪎⋱⫍278C⩨⪎⋱⫍1384)⨐⩸⫘(⪝⪂⫅⪎⋱⫍345C))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":18376,"operation_count":13,"complexity_ratio":1413.5384615384614,"tree":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":1661,"base":13}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":3317,"base":13}}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":3888,"base":13}}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":3453,"base":13}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":5693,"base":13},"right_expr":{"type":"numeric_atoms","value":2812,"base":13}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":7344,"base":13}}}}},"used_operators":["g55IO6H4Gj","eewbuw0ToL","AHs5Up7iyr","XIabStNQrY","8w2t5hMYqp","z63VuFQld9","Tw270M8GLb","8jW3W4yZS5","eLxqMNBOBk","fu6greOZ01","2DlMacCsIx","XTarYq4gQB"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","9HNa5Wba9A","3ViojmjbAp","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","9HNa5Wba9A","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1661","layer":4},{"info":"compute unary expreesion, input=1661, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=3224","layer":3},{"info":"number node, value=3317","layer":4},{"info":"compute unary expreesion, input=3317, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-9951","layer":3},{"info":"compute binary expreesion, left_input=3224, right_input=-9951, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=3888","layer":4},{"info":"compute unary expreesion, input=3888, 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 = 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 = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":1},{"info":"number node, value=3453","layer":4},{"info":"compute unary expreesion, input=3453, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=11923209","layer":3},{"info":"compute unary expreesion, input=11923209, 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=5693","layer":4},{"info":"number node, value=2812","layer":4},{"info":"compute binary expreesion, left_input=5693, right_input=2812, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=7344","layer":4},{"info":"compute unary expreesion, input=7344, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-1079568","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-1079568, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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 = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍9AA⇋≉)≹⇙⪍(⊄⩳↩⪎⋱⫍1682)⨰((⨰⫟⨤⪎⋱⫍1A01)∧)⨸⪁(↯⪼(⫓⪴⪎⋱⫍1758))≹⇙⪍((⪎⋱⫍278C⩨⪎⋱⫍1384)⨐⩸⫘(⪝⪂⫅⪎⋱⫍345C))=NaN","reverse_text":"NaN=(⪎⋱⫍9AA⇋≉)≹⇙⪍(⊄⩳↩⪎⋱⫍1682)⨰((⨰⫟⨤⪎⋱⫍1A01)∧)⨸⪁(↯⪼(⫓⪴⪎⋱⫍1758))≹⇙⪍((⪎⋱⫍278C⩨⪎⋱⫍1384)⨐⩸⫘(⪝⪂⫅⪎⋱⫍345C))","cot":[{"info":"⪎⋱⫍9AA⇋≉=⪎⋱⫍1610","layer":3},{"info":"⊄⩳↩⪎⋱⫍1682=⪎⋱⫍-46B6","layer":3},{"info":"⪎⋱⫍1610≹⇙⪍⪎⋱⫍-46B6=NaN","layer":2},{"info":"⨰⫟⨤⪎⋱⫍1A01=NaN","layer":3},{"info":"NaN∧=NaN","layer":2},{"info":"NaN⨰NaN=NaN","layer":1},{"info":"⫓⪴⪎⋱⫍1758=⪎⋱⫍261606C","layer":3},{"info":"↯⪼⪎⋱⫍261606C=⪎⋱⫍-18","layer":2},{"info":"⪎⋱⫍278C⩨⪎⋱⫍1384=⪎⋱⫍0","layer":3},{"info":"⪝⪂⫅⪎⋱⫍345C=⪎⋱⫍-2BA4C9","layer":3},{"info":"⪎⋱⫍0⨐⩸⫘⪎⋱⫍-2BA4C9=NaN","layer":2},{"info":"⪎⋱⫍-18≹⇙⪍NaN=NaN","layer":1},{"info":"NaN⨸⪁NaN=NaN","layer":0}]}
{"id":995,"expression_no_base_symbol":"($2028$⨓$1870$⨰$9173$⪮%⊝$2935$⊉≛↸($7516$≭$1233$+$1049$⋥≓≎$3965$))↺(((⨵≀≌$5070$)⫸⊐($5261$⊘))⨳⩥⨓(≉(≤/$1885$)))","expression":"(⪎⋱⫍C00⨓⪎⋱⫍B0B⨰⪎⋱⫍4238⪮%⊝⪎⋱⫍144A⊉≛↸(⪎⋱⫍3562≭⪎⋱⫍73B+⪎⋱⫍629⋥≓≎⪎⋱⫍1A60))↺(((⨵≀≌⪎⋱⫍2400)⫸⊐(⪎⋱⫍2519⊘))⨳⩥⨓(≉(≤/⪎⋱⫍B20)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1934,"operation_count":14,"complexity_ratio":138.14285714285714,"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":2028,"base":13},"right_expr":{"type":"numeric_atoms","value":1870,"base":13}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":9173,"base":13},"right_expr":{"type":"numeric_atoms","value":2935,"base":13}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":7516,"base":13},"right_expr":{"type":"numeric_atoms","value":1233,"base":13}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1049,"base":13},"right_expr":{"type":"numeric_atoms","value":3965,"base":13}}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":5070,"base":13}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":5261,"base":13}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1885,"base":13}}}}},"used_operators":["7j4O788W3g","DZ8iAZOCBD","eewbuw0ToL","3ViojmjbAp","IWmyXbctLI","W4YGzv6Whe","rxpJgHHUmx","Qy55tPpLXF","nCS4ZIUYfx","mqXw5SEYmG","srAu1WTS94","gu96TGCTMs","e1ybzncUwg","eLAdDNolq6"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"⪎⋱⫍-1103","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=2028","layer":4},{"info":"number node, value=1870","layer":4},{"info":"compute binary expreesion, left_input=2028, right_input=1870, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1873","layer":3},{"info":"number node, value=9173","layer":4},{"info":"number node, value=2935","layer":4},{"info":"compute binary expreesion, left_input=9173, right_input=2935, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=18662","layer":3},{"info":"compute binary expreesion, left_input=-1873, right_input=18662, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-20525","layer":2},{"info":"number node, value=7516","layer":4},{"info":"number node, value=1233","layer":4},{"info":"compute binary expreesion, left_input=7516, right_input=1233, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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":"number node, value=3965","layer":4},{"info":"compute binary expreesion, left_input=1049, right_input=3965, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=6914","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=6914, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-20525, 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=5070","layer":4},{"info":"compute unary expreesion, input=5070, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-15210","layer":3},{"info":"number node, value=5261","layer":4},{"info":"compute unary expreesion, input=5261, 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=-15210, 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=1885","layer":4},{"info":"compute unary expreesion, input=1885, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1401","layer":3},{"info":"compute unary expreesion, input=-1401, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=-1401","layer":2},{"info":"compute binary expreesion, left_input=968, right_input=-1401, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-2369","layer":1},{"info":"compute binary expreesion, left_input=nan, 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":0}],"base":13,"result_base":13,"text":"(⪎⋱⫍C00⨓⪎⋱⫍B0B⨰⪎⋱⫍4238⪮%⊝⪎⋱⫍144A⊉≛↸(⪎⋱⫍3562≭⪎⋱⫍73B+⪎⋱⫍629⋥≓≎⪎⋱⫍1A60))↺(((⨵≀≌⪎⋱⫍2400)⫸⊐(⪎⋱⫍2519⊘))⨳⩥⨓(≉(≤/⪎⋱⫍B20)))=⪎⋱⫍-1103","reverse_text":"⪎⋱⫍-1103=(⪎⋱⫍C00⨓⪎⋱⫍B0B⨰⪎⋱⫍4238⪮%⊝⪎⋱⫍144A⊉≛↸(⪎⋱⫍3562≭⪎⋱⫍73B+⪎⋱⫍629⋥≓≎⪎⋱⫍1A60))↺(((⨵≀≌⪎⋱⫍2400)⫸⊐(⪎⋱⫍2519⊘))⨳⩥⨓(≉(≤/⪎⋱⫍B20)))","cot":[{"info":"⪎⋱⫍C00⨓⪎⋱⫍B0B=⪎⋱⫍-B11","layer":3},{"info":"⪎⋱⫍4238⪮%⊝⪎⋱⫍144A=⪎⋱⫍8657","layer":3},{"info":"⪎⋱⫍-B11⨰⪎⋱⫍8657=⪎⋱⫍-945B","layer":2},{"info":"⪎⋱⫍3562≭⪎⋱⫍73B=NaN","layer":3},{"info":"⪎⋱⫍629⋥≓≎⪎⋱⫍1A60=⪎⋱⫍31BB","layer":3},{"info":"NaN+⪎⋱⫍31BB=NaN","layer":2},{"info":"⪎⋱⫍-945B⊉≛↸NaN=NaN","layer":1},{"info":"⨵≀≌⪎⋱⫍2400=⪎⋱⫍-6C00","layer":3},{"info":"⪎⋱⫍2519⊘=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍-6C00⫸⊐⪎⋱⫍0=⪎⋱⫍596","layer":2},{"info":"≤/⪎⋱⫍B20=⪎⋱⫍-83A","layer":3},{"info":"≉⪎⋱⫍-83A=⪎⋱⫍-83A","layer":2},{"info":"⪎⋱⫍596⨳⩥⨓⪎⋱⫍-83A=⪎⋱⫍-1103","layer":1},{"info":"NaN↺⪎⋱⫍-1103=⪎⋱⫍-1103","layer":0}]}
{"id":996,"expression_no_base_symbol":"-($4666$⫥∨⫟$3698$)⪮%⊝($1797$≭$1556$)⩷∴(($1378$≋⫹)≭$6926$⪘⫢$4898$)","expression":"-(⪎⋱⫍217C⫥∨⫟⪎⋱⫍18B6)⪮%⊝(⪎⋱⫍A83≭⪎⋱⫍929)⩷∴((⪎⋱⫍820≋⫹)≭⪎⋱⫍31CA⪘⫢⪎⋱⫍22CA)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":190,"operation_count":8,"complexity_ratio":23.75,"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":4666,"base":13},"right_expr":{"type":"numeric_atoms","value":3698,"base":13}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1797,"base":13},"right_expr":{"type":"numeric_atoms","value":1556,"base":13}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":1378,"base":13}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":6926,"base":13},"right_expr":{"type":"numeric_atoms","value":4898,"base":13}}}}},"used_operators":["t8gj7n24qd","9FxExcQeMw","IWmyXbctLI","KYD54nUTWz","rxpJgHHUmx","N41Kp7NANJ","oacrs7FA3X"],"dependent_operators":["rysDP5nf3Z","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","8HhzD0ZcuI","rGHVDoGpnC","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=4666","layer":4},{"info":"number node, value=3698","layer":4},{"info":"compute binary expreesion, left_input=4666, right_input=3698, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=1797","layer":4},{"info":"number node, value=1556","layer":4},{"info":"compute binary expreesion, left_input=1797, right_input=1556, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if 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 = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"number node, value=1378","layer":4},{"info":"compute unary expreesion, input=1378, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-2756","layer":3},{"info":"number node, value=6926","layer":4},{"info":"number node, value=4898","layer":4},{"info":"compute binary expreesion, left_input=6926, right_input=4898, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=13728","layer":3},{"info":"compute binary expreesion, left_input=-2756, right_input=13728, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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 = 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 = t8gj7n24qd, unary_op_definition = 'None', output=nan","layer":0}],"base":13,"result_base":13,"text":"-(⪎⋱⫍217C⫥∨⫟⪎⋱⫍18B6)⪮%⊝(⪎⋱⫍A83≭⪎⋱⫍929)⩷∴((⪎⋱⫍820≋⫹)≭⪎⋱⫍31CA⪘⫢⪎⋱⫍22CA)=NaN","reverse_text":"NaN=-(⪎⋱⫍217C⫥∨⫟⪎⋱⫍18B6)⪮%⊝(⪎⋱⫍A83≭⪎⋱⫍929)⩷∴((⪎⋱⫍820≋⫹)≭⪎⋱⫍31CA⪘⫢⪎⋱⫍22CA)","cot":[{"info":"⪎⋱⫍217C⫥∨⫟⪎⋱⫍18B6=NaN","layer":3},{"info":"⪎⋱⫍A83≭⪎⋱⫍929=NaN","layer":3},{"info":"NaN⪮%⊝NaN=NaN","layer":2},{"info":"⪎⋱⫍820≋⫹=⪎⋱⫍-1340","layer":3},{"info":"⪎⋱⫍31CA⪘⫢⪎⋱⫍22CA=⪎⋱⫍6330","layer":3},{"info":"⪎⋱⫍-1340≭⪎⋱⫍6330=NaN","layer":2},{"info":"NaN⩷∴NaN=NaN","layer":1},{"info":"-NaN=NaN","layer":0}]}
{"id":997,"expression_no_base_symbol":"(($1091$/$3229$)⪘⫢($1645$⋳⪒$1862$))⇷($2495$⋓$2561$%$4695$⨎$1016$)⨓((-$2695$≎⊠⪸$2973$)↛⩡⫤)","expression":"((⪎⋱⫍65C/⪎⋱⫍1615)⪘⫢(⪎⋱⫍997⋳⪒⪎⋱⫍B03))⇷(⪎⋱⫍119C⋓⪎⋱⫍1220%⪎⋱⫍21A2⨎⪎⋱⫍602)⨓((-⪎⋱⫍12C4≎⊠⪸⪎⋱⫍1479)↛⩡⫤)","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2112163,"operation_count":11,"complexity_ratio":192014.81818181818,"tree":{"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":13},"right_expr":{"type":"numeric_atoms","value":3229,"base":13}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1645,"base":13},"right_expr":{"type":"numeric_atoms","value":1862,"base":13}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2495,"base":13},"right_expr":{"type":"numeric_atoms","value":2561,"base":13}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":4695,"base":13},"right_expr":{"type":"numeric_atoms","value":1016,"base":13}}}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2695,"base":13},"right_expr":{"type":"numeric_atoms","value":2973,"base":13}}}}},"used_operators":["3ViojmjbAp","mp7IySMOzn","oacrs7FA3X","XhwjNDsVaA","12rbrZMWeM","k8jYdgA6NY","T2fj7uvVaJ","rJVOvQCfKK","FU0Cs4j7VP","t8gj7n24qd","bJkvcejdHO"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"⪎⋱⫍-1356","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1091","layer":4},{"info":"number node, value=3229","layer":4},{"info":"compute binary expreesion, left_input=1091, right_input=3229, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=1645","layer":4},{"info":"number node, value=1862","layer":4},{"info":"compute binary expreesion, left_input=1645, right_input=1862, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=1141","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1141, 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":"number node, value=2495","layer":4},{"info":"number node, value=2561","layer":4},{"info":"compute binary expreesion, left_input=2495, right_input=2561, op_id = T2fj7uvVaJ binary_op_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=4695","layer":4},{"info":"number node, value=1016","layer":4},{"info":"compute binary expreesion, left_input=4695, right_input=1016, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1016","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1016, op_id = k8jYdgA6NY binary_op_definition= 'None', output=0","layer":2},{"info":"compute binary expreesion, left_input=-1156, right_input=0, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=0","layer":1},{"info":"number node, value=2695","layer":4},{"info":"number node, value=2973","layer":4},{"info":"compute binary expreesion, left_input=2695, right_input=2973, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=697532","layer":3},{"info":"compute unary expreesion, input=697532, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-697532","layer":2},{"info":"compute unary expreesion, input=-697532, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=2772","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=2772, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2775","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍65C/⪎⋱⫍1615)⪘⫢(⪎⋱⫍997⋳⪒⪎⋱⫍B03))⇷(⪎⋱⫍119C⋓⪎⋱⫍1220%⪎⋱⫍21A2⨎⪎⋱⫍602)⨓((-⪎⋱⫍12C4≎⊠⪸⪎⋱⫍1479)↛⩡⫤)=⪎⋱⫍-1356","reverse_text":"⪎⋱⫍-1356=((⪎⋱⫍65C/⪎⋱⫍1615)⪘⫢(⪎⋱⫍997⋳⪒⪎⋱⫍B03))⇷(⪎⋱⫍119C⋓⪎⋱⫍1220%⪎⋱⫍21A2⨎⪎⋱⫍602)⨓((-⪎⋱⫍12C4≎⊠⪸⪎⋱⫍1479)↛⩡⫤)","cot":[{"info":"⪎⋱⫍65C/⪎⋱⫍1615=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍997⋳⪒⪎⋱⫍B03=⪎⋱⫍69A","layer":3},{"info":"⪎⋱⫍0⪘⫢⪎⋱⫍69A=⪎⋱⫍-6AC","layer":2},{"info":"⪎⋱⫍119C⋓⪎⋱⫍1220=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍21A2⨎⪎⋱⫍602=⪎⋱⫍602","layer":3},{"info":"⪎⋱⫍0%⪎⋱⫍602=⪎⋱⫍0","layer":2},{"info":"⪎⋱⫍-6AC⇷⪎⋱⫍0=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍12C4≎⊠⪸⪎⋱⫍1479=⪎⋱⫍1B5654","layer":3},{"info":"-⪎⋱⫍1B5654=⪎⋱⫍-1B5654","layer":2},{"info":"⪎⋱⫍-1B5654↛⩡⫤=⪎⋱⫍1353","layer":1},{"info":"⪎⋱⫍0⨓⪎⋱⫍1353=⪎⋱⫍-1356","layer":0}]}
{"id":998,"expression_no_base_symbol":"(($1370$⊉≛↸$2523$)⩷∴$3653$≹⇙⪍$3080$⋓($1833$⋝⋈⪟$6027$)⪘⫢($7247$⩨$1662$))⪛((⊥($1920$⪘⫢$1906$))⪠⩆⊳)","expression":"((⪎⋱⫍815⊉≛↸⪎⋱⫍11C1)⩷∴⪎⋱⫍1880≹⇙⪍⪎⋱⫍152C⋓(⪎⋱⫍AB0⋝⋈⪟⪎⋱⫍2988)⪘⫢(⪎⋱⫍33B6⩨⪎⋱⫍9AB))⪛((⊥(⪎⋱⫍B49⪘⫢⪎⋱⫍B38))⪠⩆⊳)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":64,"operation_count":11,"complexity_ratio":5.818181818181818,"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":1370,"base":13},"right_expr":{"type":"numeric_atoms","value":2523,"base":13}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":3653,"base":13},"right_expr":{"type":"numeric_atoms","value":3080,"base":13}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1833,"base":13},"right_expr":{"type":"numeric_atoms","value":6027,"base":13}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":7247,"base":13},"right_expr":{"type":"numeric_atoms","value":1662,"base":13}}}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1920,"base":13},"right_expr":{"type":"numeric_atoms","value":1906,"base":13}}}}},"used_operators":["uFcxV4UQCh","T2fj7uvVaJ","9FxExcQeMw","DZ8iAZOCBD","AHs5Up7iyr","oacrs7FA3X","2DDjHMKMc0","2DlMacCsIx","JLbD19bQDL","Q3PJZHRvZv"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","fu6greOZ01"],"result":"NaN","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1370","layer":4},{"info":"number node, value=2523","layer":4},{"info":"compute binary expreesion, left_input=1370, right_input=2523, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2740","layer":3},{"info":"number node, value=3653","layer":4},{"info":"number node, value=3080","layer":4},{"info":"compute binary expreesion, left_input=3653, right_input=3080, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if 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=2740, 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=1833","layer":4},{"info":"number node, value=6027","layer":4},{"info":"compute binary expreesion, left_input=1833, right_input=6027, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1833","layer":3},{"info":"number node, value=7247","layer":4},{"info":"number node, value=1662","layer":4},{"info":"compute binary expreesion, left_input=7247, right_input=1662, 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=1833, right_input=0, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = T2fj7uvVaJ binary_op_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=1920","layer":4},{"info":"number node, value=1906","layer":4},{"info":"compute binary expreesion, left_input=1920, right_input=1906, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=3716","layer":3},{"info":"compute unary expreesion, input=3716, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=nan","layer":1},{"info":"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":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍815⊉≛↸⪎⋱⫍11C1)⩷∴⪎⋱⫍1880≹⇙⪍⪎⋱⫍152C⋓(⪎⋱⫍AB0⋝⋈⪟⪎⋱⫍2988)⪘⫢(⪎⋱⫍33B6⩨⪎⋱⫍9AB))⪛((⊥(⪎⋱⫍B49⪘⫢⪎⋱⫍B38))⪠⩆⊳)=NaN","reverse_text":"NaN=((⪎⋱⫍815⊉≛↸⪎⋱⫍11C1)⩷∴⪎⋱⫍1880≹⇙⪍⪎⋱⫍152C⋓(⪎⋱⫍AB0⋝⋈⪟⪎⋱⫍2988)⪘⫢(⪎⋱⫍33B6⩨⪎⋱⫍9AB))⪛((⊥(⪎⋱⫍B49⪘⫢⪎⋱⫍B38))⪠⩆⊳)","cot":[{"info":"⪎⋱⫍815⊉≛↸⪎⋱⫍11C1=⪎⋱⫍132A","layer":3},{"info":"⪎⋱⫍1880≹⇙⪍⪎⋱⫍152C=NaN","layer":3},{"info":"⪎⋱⫍132A⩷∴NaN=NaN","layer":2},{"info":"⪎⋱⫍AB0⋝⋈⪟⪎⋱⫍2988=⪎⋱⫍AB0","layer":3},{"info":"⪎⋱⫍33B6⩨⪎⋱⫍9AB=⪎⋱⫍0","layer":3},{"info":"⪎⋱⫍AB0⪘⫢⪎⋱⫍0=⪎⋱⫍0","layer":2},{"info":"NaN⋓⪎⋱⫍0=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍B49⪘⫢⪎⋱⫍B38=⪎⋱⫍18CB","layer":3},{"info":"⊥⪎⋱⫍18CB=NaN","layer":2},{"info":"NaN⪠⩆⊳=NaN","layer":1},{"info":"⪎⋱⫍0⪛NaN=NaN","layer":0}]}
{"id":999,"expression_no_base_symbol":"∂(($7624$⋷$3999$)⩷∴($4733$⊭↱$3490$)⋓(⊥(⊙↵-$5463$)))","expression":"∂((⪎⋱⫍3616⋷⪎⋱⫍1A88)⩷∴(⪎⋱⫍2201⊭↱⪎⋱⫍1786)⋓(⊥(⊙↵-⪎⋱⫍2643)))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":5961,"operation_count":7,"complexity_ratio":851.5714285714286,"tree":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":7624,"base":13},"right_expr":{"type":"numeric_atoms","value":3999,"base":13}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":4733,"base":13},"right_expr":{"type":"numeric_atoms","value":3490,"base":13}}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":5463,"base":13}}}}},"used_operators":["Uaa54Peajs","T2fj7uvVaJ","9FxExcQeMw","23Mk6UjR3U","COABgblf1C","Q3PJZHRvZv","oWn0xqSxBt"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","fu6greOZ01","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X"],"result":"⪎⋱⫍-174","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=7624","layer":4},{"info":"number node, value=3999","layer":4},{"info":"compute binary expreesion, left_input=7624, right_input=3999, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=374","layer":3},{"info":"number node, value=4733","layer":4},{"info":"number node, value=3490","layer":4},{"info":"compute binary expreesion, left_input=4733, right_input=3490, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-2481","layer":3},{"info":"compute binary expreesion, left_input=374, right_input=-2481, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=5678","layer":2},{"info":"number node, value=5463","layer":4},{"info":"compute unary expreesion, input=5463, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute unary expreesion, input=-1, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=4","layer":2},{"info":"compute binary expreesion, left_input=5678, right_input=4, op_id = T2fj7uvVaJ binary_op_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 = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=-264","layer":0}],"base":13,"result_base":13,"text":"∂((⪎⋱⫍3616⋷⪎⋱⫍1A88)⩷∴(⪎⋱⫍2201⊭↱⪎⋱⫍1786)⋓(⊥(⊙↵-⪎⋱⫍2643)))=⪎⋱⫍-174","reverse_text":"⪎⋱⫍-174=∂((⪎⋱⫍3616⋷⪎⋱⫍1A88)⩷∴(⪎⋱⫍2201⊭↱⪎⋱⫍1786)⋓(⊥(⊙↵-⪎⋱⫍2643)))","cot":[{"info":"⪎⋱⫍3616⋷⪎⋱⫍1A88=⪎⋱⫍22A","layer":3},{"info":"⪎⋱⫍2201⊭↱⪎⋱⫍1786=⪎⋱⫍-118B","layer":3},{"info":"⪎⋱⫍22A⩷∴⪎⋱⫍-118B=⪎⋱⫍277A","layer":2},{"info":"⊙↵-⪎⋱⫍2643=⪎⋱⫍-1","layer":3},{"info":"⊥⪎⋱⫍-1=⪎⋱⫍4","layer":2},{"info":"⪎⋱⫍277A⋓⪎⋱⫍4=⪎⋱⫍0","layer":1},{"info":"∂⪎⋱⫍0=⪎⋱⫍-174","layer":0}]}
{"id":1000,"expression_no_base_symbol":"(($1003$∑⇟⊟$2174$⊦⊿)∲⫓(⪲⇎$1666$)⊉≛↸($7648$↛⩡⫤))≎⊠⪸((⨈⫕($1052$⊭↱$1373$))+⇶⊼($2795$⨎$1610$⇼⇔∾(⋗⩬⋾$1900$)))","expression":"((⪎⋱⫍5C2∑⇟⊟⪎⋱⫍CB3⊦⊿)∲⫓(⪲⇎⪎⋱⫍9B2)⊉≛↸(⪎⋱⫍3634↛⩡⫤))≎⊠⪸((⨈⫕(⪎⋱⫍62C⊭↱⪎⋱⫍818))+⇶⊼(⪎⋱⫍1370⨎⪎⋱⫍96B⇼⇔∾(⋗⩬⋾⪎⋱⫍B32)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":23501,"operation_count":13,"complexity_ratio":1807.7692307692307,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1003,"base":13},"right_expr":{"type":"numeric_atoms","value":2174,"base":13}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1666,"base":13}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":7648,"base":13}}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1052,"base":13},"right_expr":{"type":"numeric_atoms","value":1373,"base":13}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2795,"base":13},"right_expr":{"type":"numeric_atoms","value":1610,"base":13}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1900,"base":13}}}}},"used_operators":["bJkvcejdHO","i8ToyICDmI","14qkJME0vr","U7g4x0WXJJ","DZ8iAZOCBD","XPYlsWDdGa","FU0Cs4j7VP","TpPTUOHfaN","megm06wKyl","COABgblf1C","tifHPKVTfV","rJVOvQCfKK","DpFCA1CohY"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","AHs5Up7iyr","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⪎⋱⫍52","longer_result_info":{"target_base":13,"flag":true},"cot_info":[{"info":"number node, value=1003","layer":4},{"info":"number node, value=2174","layer":4},{"info":"compute binary expreesion, left_input=1003, right_input=2174, 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 = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=nan","layer":2},{"info":"number node, value=1666","layer":4},{"info":"compute unary expreesion, input=1666, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=3332","layer":3},{"info":"number node, value=7648","layer":4},{"info":"compute unary expreesion, input=7648, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-1150937","layer":3},{"info":"compute binary expreesion, left_input=3332, right_input=-1150937, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=6664","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=6664, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":1},{"info":"number node, value=1052","layer":4},{"info":"number node, value=1373","layer":4},{"info":"compute binary expreesion, left_input=1052, right_input=1373, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=647","layer":3},{"info":"compute unary expreesion, input=647, 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=2795","layer":4},{"info":"number node, value=1610","layer":4},{"info":"compute binary expreesion, left_input=2795, right_input=1610, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1610","layer":3},{"info":"number node, value=1900","layer":4},{"info":"compute unary expreesion, input=1900, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-5700","layer":3},{"info":"compute binary expreesion, left_input=1610, right_input=-5700, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-7310","layer":2},{"info":"compute binary expreesion, left_input=-21, right_input=-7310, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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 = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":0}],"base":13,"result_base":13,"text":"((⪎⋱⫍5C2∑⇟⊟⪎⋱⫍CB3⊦⊿)∲⫓(⪲⇎⪎⋱⫍9B2)⊉≛↸(⪎⋱⫍3634↛⩡⫤))≎⊠⪸((⨈⫕(⪎⋱⫍62C⊭↱⪎⋱⫍818))+⇶⊼(⪎⋱⫍1370⨎⪎⋱⫍96B⇼⇔∾(⋗⩬⋾⪎⋱⫍B32)))=⪎⋱⫍52","reverse_text":"⪎⋱⫍52=((⪎⋱⫍5C2∑⇟⊟⪎⋱⫍CB3⊦⊿)∲⫓(⪲⇎⪎⋱⫍9B2)⊉≛↸(⪎⋱⫍3634↛⩡⫤))≎⊠⪸((⨈⫕(⪎⋱⫍62C⊭↱⪎⋱⫍818))+⇶⊼(⪎⋱⫍1370⨎⪎⋱⫍96B⇼⇔∾(⋗⩬⋾⪎⋱⫍B32)))","cot":[{"info":"⪎⋱⫍5C2∑⇟⊟⪎⋱⫍CB3=NaN","layer":3},{"info":"NaN⊦⊿=NaN","layer":2},{"info":"⪲⇎⪎⋱⫍9B2=⪎⋱⫍1694","layer":3},{"info":"⪎⋱⫍3634↛⩡⫤=⪎⋱⫍-313B38","layer":3},{"info":"⪎⋱⫍1694⊉≛↸⪎⋱⫍-313B38=⪎⋱⫍3058","layer":2},{"info":"NaN∲⫓⪎⋱⫍3058=⪎⋱⫍0","layer":1},{"info":"⪎⋱⫍62C⊭↱⪎⋱⫍818=⪎⋱⫍3AA","layer":3},{"info":"⨈⫕⪎⋱⫍3AA=⪎⋱⫍-18","layer":2},{"info":"⪎⋱⫍1370⨎⪎⋱⫍96B=⪎⋱⫍96B","layer":3},{"info":"⋗⩬⋾⪎⋱⫍B32=⪎⋱⫍-2796","layer":3},{"info":"⪎⋱⫍96B⇼⇔∾⪎⋱⫍-2796=⪎⋱⫍-3434","layer":2},{"info":"⪎⋱⫍-18+⇶⊼⪎⋱⫍-3434=NaN","layer":1},{"info":"⪎⋱⫍0≎⊠⪸NaN=⪎⋱⫍52","layer":0}]}