{"id":1,"expression_no_base_symbol":"$1829$/$5016$/(⪝⪂⫅$2741$)","expression":"⫶⩼⫲81E/⫶⩼⫲1746/(⪝⪂⫅⫶⩼⫲C2B)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":152,"operation_count":3,"complexity_ratio":50.666666666666664,"tree":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1829,"base":15},"right_expr":{"type":"numeric_atoms","value":5016,"base":15}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":2741,"base":15}}},"used_operators":["XhwjNDsVaA","XTarYq4gQB"],"dependent_operators":["rysDP5nf3Z","9HNa5Wba9A","8w2t5hMYqp"],"result":"⫶⩼⫲0","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1829","layer":2},{"info":"number node, value=5016","layer":2},{"info":"compute binary expreesion, left_input=1829, right_input=5016, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":1},{"info":"number node, value=2741","layer":2},{"info":"compute unary expreesion, input=2741, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-402927","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-402927, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲81E/⫶⩼⫲1746/(⪝⪂⫅⫶⩼⫲C2B)=⫶⩼⫲0","reverse_text":"⫶⩼⫲0=⫶⩼⫲81E/⫶⩼⫲1746/(⪝⪂⫅⫶⩼⫲C2B)","cot":[{"info":"⫶⩼⫲81E/⫶⩼⫲1746=⫶⩼⫲0","layer":1},{"info":"⪝⪂⫅⫶⩼⫲C2B=⫶⩼⫲-7E5BC","layer":1},{"info":"⫶⩼⫲0/⫶⩼⫲-7E5BC=⫶⩼⫲0","layer":0}]}
{"id":2,"expression_no_base_symbol":"$2261$⩷∴$2672$⪒(∥⊫$1675$)","expression":"⫶⩼⫲A0B⩷∴⫶⩼⫲BD2⪒(∥⊫⫶⩼⫲76A)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":13,"operation_count":3,"complexity_ratio":4.333333333333333,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2261,"base":15},"right_expr":{"type":"numeric_atoms","value":2672,"base":15}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":1675,"base":15}}},"used_operators":["f6k1SAg4EE","9FxExcQeMw","P8v4zCKN1o"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫶⩼⫲-779","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2261","layer":2},{"info":"number node, value=2672","layer":2},{"info":"compute binary expreesion, left_input=2261, right_input=2672, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-854","layer":1},{"info":"number node, value=1675","layer":2},{"info":"compute unary expreesion, input=1675, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2543","layer":1},{"info":"compute binary expreesion, left_input=-854, right_input=2543, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-1689","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲A0B⩷∴⫶⩼⫲BD2⪒(∥⊫⫶⩼⫲76A)=⫶⩼⫲-779","reverse_text":"⫶⩼⫲-779=⫶⩼⫲A0B⩷∴⫶⩼⫲BD2⪒(∥⊫⫶⩼⫲76A)","cot":[{"info":"⫶⩼⫲A0B⩷∴⫶⩼⫲BD2=⫶⩼⫲-3BE","layer":1},{"info":"∥⊫⫶⩼⫲76A=⫶⩼⫲B48","layer":1},{"info":"⫶⩼⫲-3BE⪒⫶⩼⫲B48=⫶⩼⫲-779","layer":0}]}
{"id":3,"expression_no_base_symbol":"$4112$≭$7641$≋⫹","expression":"⫶⩼⫲1342≭⫶⩼⫲23E6≋⫹","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4,"operation_count":2,"complexity_ratio":2.0,"tree":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":4112,"base":15},"right_expr":{"type":"numeric_atoms","value":7641,"base":15}}},"used_operators":["N41Kp7NANJ","rxpJgHHUmx"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=4112","layer":2},{"info":"number node, value=7641","layer":2},{"info":"compute binary expreesion, left_input=4112, right_input=7641, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲1342≭⫶⩼⫲23E6≋⫹=NaN","reverse_text":"NaN=⫶⩼⫲1342≭⫶⩼⫲23E6≋⫹","cot":[{"info":"⫶⩼⫲1342≭⫶⩼⫲23E6=NaN","layer":1},{"info":"NaN≋⫹=NaN","layer":0}]}
{"id":4,"expression_no_base_symbol":"⪲⇎$4219$⨎$1539$","expression":"⪲⇎⫶⩼⫲13B4⨎⫶⩼⫲6C9","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3,"operation_count":2,"complexity_ratio":1.5,"tree":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":4219,"base":15},"right_expr":{"type":"numeric_atoms","value":1539,"base":15}}},"used_operators":["XPYlsWDdGa","rJVOvQCfKK"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"⫶⩼⫲DA3","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=4219","layer":2},{"info":"number node, value=1539","layer":2},{"info":"compute binary expreesion, left_input=4219, right_input=1539, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1539","layer":1},{"info":"compute unary expreesion, input=1539, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=3078","layer":0}],"base":15,"result_base":15,"text":"⪲⇎⫶⩼⫲13B4⨎⫶⩼⫲6C9=⫶⩼⫲DA3","reverse_text":"⫶⩼⫲DA3=⪲⇎⫶⩼⫲13B4⨎⫶⩼⫲6C9","cot":[{"info":"⫶⩼⫲13B4⨎⫶⩼⫲6C9=⫶⩼⫲6C9","layer":1},{"info":"⪲⇎⫶⩼⫲6C9=⫶⩼⫲DA3","layer":0}]}
{"id":5,"expression_no_base_symbol":"(⨈⫕$1412$)+$2548$%$1562$","expression":"(⨈⫕⫶⩼⫲642)+⫶⩼⫲B4D%⫶⩼⫲6E2","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":388,"operation_count":3,"complexity_ratio":129.33333333333334,"tree":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":1412,"base":15}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2548,"base":15},"right_expr":{"type":"numeric_atoms","value":1562,"base":15}}},"used_operators":["W4YGzv6Whe","megm06wKyl","k8jYdgA6NY"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z"],"result":"⫶⩼⫲445","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1412","layer":2},{"info":"compute unary expreesion, input=1412, 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=2548","layer":2},{"info":"number node, value=1562","layer":2},{"info":"compute binary expreesion, left_input=2548, right_input=1562, op_id = k8jYdgA6NY binary_op_definition= 'None', output=986","layer":1},{"info":"compute binary expreesion, left_input=-21, right_input=986, op_id = W4YGzv6Whe binary_op_definition= 'None', output=965","layer":0}],"base":15,"result_base":15,"text":"(⨈⫕⫶⩼⫲642)+⫶⩼⫲B4D%⫶⩼⫲6E2=⫶⩼⫲445","reverse_text":"⫶⩼⫲445=(⨈⫕⫶⩼⫲642)+⫶⩼⫲B4D%⫶⩼⫲6E2","cot":[{"info":"⨈⫕⫶⩼⫲642=⫶⩼⫲-16","layer":1},{"info":"⫶⩼⫲B4D%⫶⩼⫲6E2=⫶⩼⫲45B","layer":1},{"info":"⫶⩼⫲-16+⫶⩼⫲45B=⫶⩼⫲445","layer":0}]}
{"id":6,"expression_no_base_symbol":"$2585$⩷∴$2958$%$3360$-$1036$","expression":"⫶⩼⫲B75⩷∴⫶⩼⫲D23%⫶⩼⫲EE0-⫶⩼⫲491","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":8,"operation_count":3,"complexity_ratio":2.6666666666666665,"tree":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2585,"base":15},"right_expr":{"type":"numeric_atoms","value":2958,"base":15}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":3360,"base":15},"right_expr":{"type":"numeric_atoms","value":1036,"base":15}}},"used_operators":["k8jYdgA6NY","9FxExcQeMw","rysDP5nf3Z"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z"],"result":"⫶⩼⫲6D1","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2585","layer":2},{"info":"number node, value=2958","layer":2},{"info":"compute binary expreesion, left_input=2585, right_input=2958, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-778","layer":1},{"info":"number node, value=3360","layer":2},{"info":"number node, value=1036","layer":2},{"info":"compute binary expreesion, left_input=3360, right_input=1036, op_id = rysDP5nf3Z binary_op_definition= 'None', output=2324","layer":1},{"info":"compute binary expreesion, left_input=-778, right_input=2324, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1546","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲B75⩷∴⫶⩼⫲D23%⫶⩼⫲EE0-⫶⩼⫲491=⫶⩼⫲6D1","reverse_text":"⫶⩼⫲6D1=⫶⩼⫲B75⩷∴⫶⩼⫲D23%⫶⩼⫲EE0-⫶⩼⫲491","cot":[{"info":"⫶⩼⫲B75⩷∴⫶⩼⫲D23=⫶⩼⫲-36D","layer":1},{"info":"⫶⩼⫲EE0-⫶⩼⫲491=⫶⩼⫲A4E","layer":1},{"info":"⫶⩼⫲-36D%⫶⩼⫲A4E=⫶⩼⫲6D1","layer":0}]}
{"id":7,"expression_no_base_symbol":"($6441$%$2407$)⪒$2366$∼$5995$","expression":"(⫶⩼⫲1D96%⫶⩼⫲AA7)⪒⫶⩼⫲A7B∼⫶⩼⫲1B9A","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":53,"operation_count":3,"complexity_ratio":17.666666666666668,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":6441,"base":15},"right_expr":{"type":"numeric_atoms","value":2407,"base":15}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2366,"base":15},"right_expr":{"type":"numeric_atoms","value":5995,"base":15}}},"used_operators":["f6k1SAg4EE","k8jYdgA6NY","DyGG3AbaNP"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=6441","layer":2},{"info":"number node, value=2407","layer":2},{"info":"compute binary expreesion, left_input=6441, right_input=2407, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1627","layer":1},{"info":"number node, value=2366","layer":2},{"info":"number node, value=5995","layer":2},{"info":"compute binary expreesion, left_input=2366, right_input=5995, 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=1627, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲1D96%⫶⩼⫲AA7)⪒⫶⩼⫲A7B∼⫶⩼⫲1B9A=NaN","reverse_text":"NaN=(⫶⩼⫲1D96%⫶⩼⫲AA7)⪒⫶⩼⫲A7B∼⫶⩼⫲1B9A","cot":[{"info":"⫶⩼⫲1D96%⫶⩼⫲AA7=⫶⩼⫲737","layer":1},{"info":"⫶⩼⫲A7B∼⫶⩼⫲1B9A=NaN","layer":1},{"info":"⫶⩼⫲737⪒NaN=NaN","layer":0}]}
{"id":8,"expression_no_base_symbol":"≤/$6263$≭$4845$","expression":"≤/⫶⩼⫲1CC8≭⫶⩼⫲1680","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2,"operation_count":2,"complexity_ratio":1.0,"tree":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":6263,"base":15},"right_expr":{"type":"numeric_atoms","value":4845,"base":15}}},"used_operators":["eLAdDNolq6","rxpJgHHUmx"],"dependent_operators":["rysDP5nf3Z","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=6263","layer":2},{"info":"number node, value=4845","layer":2},{"info":"compute binary expreesion, left_input=6263, right_input=4845, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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":15,"result_base":15,"text":"≤/⫶⩼⫲1CC8≭⫶⩼⫲1680=NaN","reverse_text":"NaN=≤/⫶⩼⫲1CC8≭⫶⩼⫲1680","cot":[{"info":"⫶⩼⫲1CC8≭⫶⩼⫲1680=NaN","layer":1},{"info":"≤/NaN=NaN","layer":0}]}
{"id":9,"expression_no_base_symbol":"$8658$⫡⨏$1655$⨵⪆$2138$⋥≓≎$1837$","expression":"⫶⩼⫲2873⫡⨏⫶⩼⫲755⨵⪆⫶⩼⫲978⋥≓≎⫶⩼⫲827","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":12,"operation_count":3,"complexity_ratio":4.0,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":8658,"base":15},"right_expr":{"type":"numeric_atoms","value":1655,"base":15}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2138,"base":15},"right_expr":{"type":"numeric_atoms","value":1837,"base":15}}},"used_operators":["2DQ55sFlQl","QMFrweE19q","Qy55tPpLXF"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⫶⩼⫲AA","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=8658","layer":2},{"info":"number node, value=1655","layer":2},{"info":"compute binary expreesion, left_input=8658, right_input=1655, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=47383","layer":1},{"info":"number node, value=2138","layer":2},{"info":"number node, value=1837","layer":2},{"info":"compute binary expreesion, left_input=2138, right_input=1837, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=1569","layer":1},{"info":"compute binary expreesion, left_input=47383, right_input=1569, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲2873⫡⨏⫶⩼⫲755⨵⪆⫶⩼⫲978⋥≓≎⫶⩼⫲827=⫶⩼⫲AA","reverse_text":"⫶⩼⫲AA=⫶⩼⫲2873⫡⨏⫶⩼⫲755⨵⪆⫶⩼⫲978⋥≓≎⫶⩼⫲827","cot":[{"info":"⫶⩼⫲2873⫡⨏⫶⩼⫲755=⫶⩼⫲E08D","layer":1},{"info":"⫶⩼⫲978⋥≓≎⫶⩼⫲827=⫶⩼⫲6E9","layer":1},{"info":"⫶⩼⫲E08D⨵⪆⫶⩼⫲6E9=⫶⩼⫲AA","layer":0}]}
{"id":10,"expression_no_base_symbol":"(⫓⪴$1391$)⪄$7643$⋥≓≎$1415$","expression":"(⫓⪴⫶⩼⫲62B)⪄⫶⩼⫲23E8⋥≓≎⫶⩼⫲645","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1489,"operation_count":3,"complexity_ratio":496.3333333333333,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":1391,"base":15}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":7643,"base":15},"right_expr":{"type":"numeric_atoms","value":1415,"base":15}}},"used_operators":["SUmda5xLS4","eLxqMNBOBk","Qy55tPpLXF"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⫶⩼⫲-1A211457","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1391","layer":2},{"info":"compute unary expreesion, input=1391, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=1934881","layer":1},{"info":"number node, value=7643","layer":2},{"info":"number node, value=1415","layer":2},{"info":"compute binary expreesion, left_input=7643, right_input=1415, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-4780","layer":1},{"info":"compute binary expreesion, left_input=1934881, right_input=-4780, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-286339357","layer":0}],"base":15,"result_base":15,"text":"(⫓⪴⫶⩼⫲62B)⪄⫶⩼⫲23E8⋥≓≎⫶⩼⫲645=⫶⩼⫲-1A211457","reverse_text":"⫶⩼⫲-1A211457=(⫓⪴⫶⩼⫲62B)⪄⫶⩼⫲23E8⋥≓≎⫶⩼⫲645","cot":[{"info":"⫓⪴⫶⩼⫲62B=⫶⩼⫲283471","layer":1},{"info":"⫶⩼⫲23E8⋥≓≎⫶⩼⫲645=⫶⩼⫲-163A","layer":1},{"info":"⫶⩼⫲283471⪄⫶⩼⫲-163A=⫶⩼⫲-1A211457","layer":0}]}
{"id":11,"expression_no_base_symbol":"($2970$⊉≛↸$1562$)∼$1482$⨟⋌⩍$2481$","expression":"(⫶⩼⫲D30⊉≛↸⫶⩼⫲6E2)∼⫶⩼⫲68C⨟⋌⩍⫶⩼⫲B06","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":121,"operation_count":3,"complexity_ratio":40.333333333333336,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2970,"base":15},"right_expr":{"type":"numeric_atoms","value":1562,"base":15}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1482,"base":15},"right_expr":{"type":"numeric_atoms","value":2481,"base":15}}},"used_operators":["DyGG3AbaNP","DZ8iAZOCBD","rGHVDoGpnC"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2970","layer":2},{"info":"number node, value=1562","layer":2},{"info":"compute binary expreesion, left_input=2970, right_input=1562, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=5940","layer":1},{"info":"number node, value=1482","layer":2},{"info":"number node, value=2481","layer":2},{"info":"compute binary expreesion, left_input=1482, right_input=2481, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=5940, 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":15,"result_base":15,"text":"(⫶⩼⫲D30⊉≛↸⫶⩼⫲6E2)∼⫶⩼⫲68C⨟⋌⩍⫶⩼⫲B06=NaN","reverse_text":"NaN=(⫶⩼⫲D30⊉≛↸⫶⩼⫲6E2)∼⫶⩼⫲68C⨟⋌⩍⫶⩼⫲B06","cot":[{"info":"⫶⩼⫲D30⊉≛↸⫶⩼⫲6E2=⫶⩼⫲1B60","layer":1},{"info":"⫶⩼⫲68C⨟⋌⩍⫶⩼⫲B06=NaN","layer":1},{"info":"⫶⩼⫲1B60∼NaN=NaN","layer":0}]}
{"id":12,"expression_no_base_symbol":"($3930$⪄$1917$)⨳⩥⨓($1111$⫌⩹⨱)","expression":"(⫶⩼⫲1270⪄⫶⩼⫲87C)⨳⩥⨓(⫶⩼⫲4E1⫌⩹⨱)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":105,"operation_count":3,"complexity_ratio":35.0,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":3930,"base":15},"right_expr":{"type":"numeric_atoms","value":1917,"base":15}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":1111,"base":15}}},"used_operators":["nCS4ZIUYfx","SUmda5xLS4","EBcxylXtPf"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z"],"result":"⫶⩼⫲B97D0","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=3930","layer":2},{"info":"number node, value=1917","layer":2},{"info":"compute binary expreesion, left_input=3930, right_input=1917, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-585397","layer":1},{"info":"number node, value=1111","layer":2},{"info":"compute unary expreesion, input=1111, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=3623","layer":1},{"info":"compute binary expreesion, left_input=-585397, right_input=3623, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=589020","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲1270⪄⫶⩼⫲87C)⨳⩥⨓(⫶⩼⫲4E1⫌⩹⨱)=⫶⩼⫲B97D0","reverse_text":"⫶⩼⫲B97D0=(⫶⩼⫲1270⪄⫶⩼⫲87C)⨳⩥⨓(⫶⩼⫲4E1⫌⩹⨱)","cot":[{"info":"⫶⩼⫲1270⪄⫶⩼⫲87C=⫶⩼⫲-B86B7","layer":1},{"info":"⫶⩼⫲4E1⫌⩹⨱=⫶⩼⫲1118","layer":1},{"info":"⫶⩼⫲-B86B7⨳⩥⨓⫶⩼⫲1118=⫶⩼⫲B97D0","layer":0}]}
{"id":13,"expression_no_base_symbol":"($3548$/$4524$)⪘⫢(⋗⩬⋾$1110$)","expression":"(⫶⩼⫲10B8/⫶⩼⫲1519)⪘⫢(⋗⩬⋾⫶⩼⫲4E0)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":13,"operation_count":3,"complexity_ratio":4.333333333333333,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":3548,"base":15},"right_expr":{"type":"numeric_atoms","value":4524,"base":15}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1110,"base":15}}},"used_operators":["oacrs7FA3X","XhwjNDsVaA","DpFCA1CohY"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫶⩼⫲-1","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=3548","layer":2},{"info":"number node, value=4524","layer":2},{"info":"compute binary expreesion, left_input=3548, right_input=4524, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":1},{"info":"number node, value=1110","layer":2},{"info":"compute unary expreesion, input=1110, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-3330","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-3330, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=-1","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲10B8/⫶⩼⫲1519)⪘⫢(⋗⩬⋾⫶⩼⫲4E0)=⫶⩼⫲-1","reverse_text":"⫶⩼⫲-1=(⫶⩼⫲10B8/⫶⩼⫲1519)⪘⫢(⋗⩬⋾⫶⩼⫲4E0)","cot":[{"info":"⫶⩼⫲10B8/⫶⩼⫲1519=⫶⩼⫲0","layer":1},{"info":"⋗⩬⋾⫶⩼⫲4E0=⫶⩼⫲-EC0","layer":1},{"info":"⫶⩼⫲0⪘⫢⫶⩼⫲-EC0=⫶⩼⫲-1","layer":0}]}
{"id":14,"expression_no_base_symbol":"($1424$⋷$1032$)⊭↱$5022$⨎$2672$","expression":"(⫶⩼⫲64E⋷⫶⩼⫲48C)⊭↱⫶⩼⫲174C⨎⫶⩼⫲BD2","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":10,"operation_count":3,"complexity_ratio":3.3333333333333335,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1424,"base":15},"right_expr":{"type":"numeric_atoms","value":1032,"base":15}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":5022,"base":15},"right_expr":{"type":"numeric_atoms","value":2672,"base":15}}},"used_operators":["COABgblf1C","23Mk6UjR3U","rJVOvQCfKK"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"⫶⩼⫲1314","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1424","layer":2},{"info":"number node, value=1032","layer":2},{"info":"compute binary expreesion, left_input=1424, right_input=1032, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=640","layer":1},{"info":"number node, value=5022","layer":2},{"info":"number node, value=2672","layer":2},{"info":"compute binary expreesion, left_input=5022, right_input=2672, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2672","layer":1},{"info":"compute binary expreesion, left_input=640, right_input=2672, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=4069","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲64E⋷⫶⩼⫲48C)⊭↱⫶⩼⫲174C⨎⫶⩼⫲BD2=⫶⩼⫲1314","reverse_text":"⫶⩼⫲1314=(⫶⩼⫲64E⋷⫶⩼⫲48C)⊭↱⫶⩼⫲174C⨎⫶⩼⫲BD2","cot":[{"info":"⫶⩼⫲64E⋷⫶⩼⫲48C=⫶⩼⫲2CA","layer":1},{"info":"⫶⩼⫲174C⨎⫶⩼⫲BD2=⫶⩼⫲BD2","layer":1},{"info":"⫶⩼⫲2CA⊭↱⫶⩼⫲BD2=⫶⩼⫲1314","layer":0}]}
{"id":15,"expression_no_base_symbol":"($1012$⇼⇔∾$4094$)⫥∨⫟($1007$⫸⊐$7185$)","expression":"(⫶⩼⫲477⇼⇔∾⫶⩼⫲132E)⫥∨⫟(⫶⩼⫲472⫸⊐⫶⩼⫲21E0)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":180,"operation_count":3,"complexity_ratio":60.0,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1012,"base":15},"right_expr":{"type":"numeric_atoms","value":4094,"base":15}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1007,"base":15},"right_expr":{"type":"numeric_atoms","value":7185,"base":15}}},"used_operators":["KYD54nUTWz","tifHPKVTfV","mqXw5SEYmG"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1012","layer":2},{"info":"number node, value=4094","layer":2},{"info":"compute binary expreesion, left_input=1012, right_input=4094, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=3082","layer":1},{"info":"number node, value=1007","layer":2},{"info":"number node, value=7185","layer":2},{"info":"compute binary expreesion, left_input=1007, right_input=7185, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=28615","layer":1},{"info":"compute binary expreesion, left_input=3082, right_input=28615, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲477⇼⇔∾⫶⩼⫲132E)⫥∨⫟(⫶⩼⫲472⫸⊐⫶⩼⫲21E0)=NaN","reverse_text":"NaN=(⫶⩼⫲477⇼⇔∾⫶⩼⫲132E)⫥∨⫟(⫶⩼⫲472⫸⊐⫶⩼⫲21E0)","cot":[{"info":"⫶⩼⫲477⇼⇔∾⫶⩼⫲132E=⫶⩼⫲DA7","layer":1},{"info":"⫶⩼⫲472⫸⊐⫶⩼⫲21E0=⫶⩼⫲872A","layer":1},{"info":"⫶⩼⫲DA7⫥∨⫟⫶⩼⫲872A=NaN","layer":0}]}
{"id":16,"expression_no_base_symbol":"($1345$⪨≂$5590$)∼$4947$≹⇙⪍$1797$","expression":"(⫶⩼⫲5EA⪨≂⫶⩼⫲19CA)∼⫶⩼⫲16EC≹⇙⪍⫶⩼⫲7EC","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":172,"operation_count":3,"complexity_ratio":57.333333333333336,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1345,"base":15},"right_expr":{"type":"numeric_atoms","value":5590,"base":15}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":4947,"base":15},"right_expr":{"type":"numeric_atoms","value":1797,"base":15}}},"used_operators":["DyGG3AbaNP","sdazOOVcIp","AHs5Up7iyr"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1345","layer":2},{"info":"number node, value=5590","layer":2},{"info":"compute binary expreesion, left_input=1345, right_input=5590, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-8388","layer":1},{"info":"number node, value=4947","layer":2},{"info":"number node, value=1797","layer":2},{"info":"compute binary expreesion, left_input=4947, right_input=1797, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=-8388, 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":15,"result_base":15,"text":"(⫶⩼⫲5EA⪨≂⫶⩼⫲19CA)∼⫶⩼⫲16EC≹⇙⪍⫶⩼⫲7EC=NaN","reverse_text":"NaN=(⫶⩼⫲5EA⪨≂⫶⩼⫲19CA)∼⫶⩼⫲16EC≹⇙⪍⫶⩼⫲7EC","cot":[{"info":"⫶⩼⫲5EA⪨≂⫶⩼⫲19CA=⫶⩼⫲-2743","layer":1},{"info":"⫶⩼⫲16EC≹⇙⪍⫶⩼⫲7EC=NaN","layer":1},{"info":"⫶⩼⫲-2743∼NaN=NaN","layer":0}]}
{"id":17,"expression_no_base_symbol":"($1206$⨁⊸⫻)⪒(⨵≀≌$2795$)","expression":"(⫶⩼⫲556⨁⊸⫻)⪒(⨵≀≌⫶⩼⫲C65)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7,"operation_count":3,"complexity_ratio":2.3333333333333335,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":1206,"base":15}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":2795,"base":15}}},"used_operators":["f6k1SAg4EE","glklzrTFfD","srAu1WTS94"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A"],"result":"⫶⩼⫲21D9","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1206","layer":2},{"info":"compute unary expreesion, input=1206, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=1206","layer":1},{"info":"number node, value=2795","layer":2},{"info":"compute unary expreesion, input=2795, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-8385","layer":1},{"info":"compute binary expreesion, left_input=1206, right_input=-8385, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=7179","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲556⨁⊸⫻)⪒(⨵≀≌⫶⩼⫲C65)=⫶⩼⫲21D9","reverse_text":"⫶⩼⫲21D9=(⫶⩼⫲556⨁⊸⫻)⪒(⨵≀≌⫶⩼⫲C65)","cot":[{"info":"⫶⩼⫲556⨁⊸⫻=⫶⩼⫲556","layer":1},{"info":"⨵≀≌⫶⩼⫲C65=⫶⩼⫲-2740","layer":1},{"info":"⫶⩼⫲556⪒⫶⩼⫲-2740=⫶⩼⫲21D9","layer":0}]}
{"id":18,"expression_no_base_symbol":"($2911$⫸⊐$2453$)⨳⩥⨓$1082$≭$1258$","expression":"(⫶⩼⫲CE1⫸⊐⫶⩼⫲AD8)⨳⩥⨓⫶⩼⫲4C2≭⫶⩼⫲58D","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":28,"operation_count":3,"complexity_ratio":9.333333333333334,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2911,"base":15},"right_expr":{"type":"numeric_atoms","value":2453,"base":15}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1082,"base":15},"right_expr":{"type":"numeric_atoms","value":1258,"base":15}}},"used_operators":["nCS4ZIUYfx","mqXw5SEYmG","rxpJgHHUmx"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2911","layer":2},{"info":"number node, value=2453","layer":2},{"info":"compute binary expreesion, left_input=2911, right_input=2453, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=9687","layer":1},{"info":"number node, value=1082","layer":2},{"info":"number node, value=1258","layer":2},{"info":"compute binary expreesion, left_input=1082, right_input=1258, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=9687, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲CE1⫸⊐⫶⩼⫲AD8)⨳⩥⨓⫶⩼⫲4C2≭⫶⩼⫲58D=NaN","reverse_text":"NaN=(⫶⩼⫲CE1⫸⊐⫶⩼⫲AD8)⨳⩥⨓⫶⩼⫲4C2≭⫶⩼⫲58D","cot":[{"info":"⫶⩼⫲CE1⫸⊐⫶⩼⫲AD8=⫶⩼⫲2D0C","layer":1},{"info":"⫶⩼⫲4C2≭⫶⩼⫲58D=NaN","layer":1},{"info":"⫶⩼⫲2D0C⨳⩥⨓NaN=NaN","layer":0}]}
{"id":19,"expression_no_base_symbol":"$3459$⨟⋌⩍$6756$⫡⨏$2302$⋝⋈⪟$1208$","expression":"⫶⩼⫲1059⨟⋌⩍⫶⩼⫲2006⫡⨏⫶⩼⫲A37⋝⋈⪟⫶⩼⫲558","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":11,"operation_count":3,"complexity_ratio":3.6666666666666665,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":3459,"base":15},"right_expr":{"type":"numeric_atoms","value":6756,"base":15}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2302,"base":15},"right_expr":{"type":"numeric_atoms","value":1208,"base":15}}},"used_operators":["QMFrweE19q","rGHVDoGpnC","2DDjHMKMc0"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=3459","layer":2},{"info":"number node, value=6756","layer":2},{"info":"compute binary expreesion, left_input=3459, right_input=6756, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=2302","layer":2},{"info":"number node, value=1208","layer":2},{"info":"compute binary expreesion, left_input=2302, right_input=1208, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2302","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2302, op_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":15,"result_base":15,"text":"⫶⩼⫲1059⨟⋌⩍⫶⩼⫲2006⫡⨏⫶⩼⫲A37⋝⋈⪟⫶⩼⫲558=NaN","reverse_text":"NaN=⫶⩼⫲1059⨟⋌⩍⫶⩼⫲2006⫡⨏⫶⩼⫲A37⋝⋈⪟⫶⩼⫲558","cot":[{"info":"⫶⩼⫲1059⨟⋌⩍⫶⩼⫲2006=NaN","layer":1},{"info":"⫶⩼⫲A37⋝⋈⪟⫶⩼⫲558=⫶⩼⫲A37","layer":1},{"info":"NaN⫡⨏⫶⩼⫲A37=NaN","layer":0}]}
{"id":20,"expression_no_base_symbol":"⨈⫕($1631$⩨$1233$)","expression":"⨈⫕(⫶⩼⫲73B⩨⫶⩼⫲573)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":390,"operation_count":2,"complexity_ratio":195.0,"tree":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1631,"base":15},"right_expr":{"type":"numeric_atoms","value":1233,"base":15}}},"used_operators":["megm06wKyl","2DlMacCsIx"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"⫶⩼⫲-16","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1631","layer":2},{"info":"number node, value=1233","layer":2},{"info":"compute binary expreesion, left_input=1631, right_input=1233, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":0}],"base":15,"result_base":15,"text":"⨈⫕(⫶⩼⫲73B⩨⫶⩼⫲573)=⫶⩼⫲-16","reverse_text":"⫶⩼⫲-16=⨈⫕(⫶⩼⫲73B⩨⫶⩼⫲573)","cot":[{"info":"⫶⩼⫲73B⩨⫶⩼⫲573=⫶⩼⫲0","layer":1},{"info":"⨈⫕⫶⩼⫲0=⫶⩼⫲-16","layer":0}]}
{"id":21,"expression_no_base_symbol":"($2258$⩷∴$3721$)⊴($1931$↬$5508$)","expression":"(⫶⩼⫲A08⩷∴⫶⩼⫲1181)⊴(⫶⩼⫲88B↬⫶⩼⫲1973)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":14,"operation_count":3,"complexity_ratio":4.666666666666667,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2258,"base":15},"right_expr":{"type":"numeric_atoms","value":3721,"base":15}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1931,"base":15},"right_expr":{"type":"numeric_atoms","value":5508,"base":15}}},"used_operators":["Nsiff2A1zJ","9FxExcQeMw","B5M0gjZbta"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=2258","layer":2},{"info":"number node, value=3721","layer":2},{"info":"compute binary expreesion, left_input=2258, right_input=3721, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-2958","layer":1},{"info":"number node, value=1931","layer":2},{"info":"number node, value=5508","layer":2},{"info":"compute binary expreesion, left_input=1931, right_input=5508, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=-2958, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲A08⩷∴⫶⩼⫲1181)⊴(⫶⩼⫲88B↬⫶⩼⫲1973)=NaN","reverse_text":"NaN=(⫶⩼⫲A08⩷∴⫶⩼⫲1181)⊴(⫶⩼⫲88B↬⫶⩼⫲1973)","cot":[{"info":"⫶⩼⫲A08⩷∴⫶⩼⫲1181=⫶⩼⫲-D23","layer":1},{"info":"⫶⩼⫲88B↬⫶⩼⫲1973=NaN","layer":1},{"info":"⫶⩼⫲-D23⊴NaN=NaN","layer":0}]}
{"id":22,"expression_no_base_symbol":"($5059$+$2938$)⪘⫢($4964$∲⫓$2959$)","expression":"(⫶⩼⫲1774+⫶⩼⫲D0D)⪘⫢(⫶⩼⫲170E∲⫓⫶⩼⫲D24)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":12,"operation_count":3,"complexity_ratio":4.0,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":5059,"base":15},"right_expr":{"type":"numeric_atoms","value":2938,"base":15}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":4964,"base":15},"right_expr":{"type":"numeric_atoms","value":2959,"base":15}}},"used_operators":["oacrs7FA3X","W4YGzv6Whe","i8ToyICDmI"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd"],"result":"⫶⩼⫲0","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=5059","layer":2},{"info":"number node, value=2938","layer":2},{"info":"compute binary expreesion, left_input=5059, right_input=2938, op_id = W4YGzv6Whe binary_op_definition= 'None', output=7997","layer":1},{"info":"number node, value=4964","layer":2},{"info":"number node, value=2959","layer":2},{"info":"compute binary expreesion, left_input=4964, right_input=2959, 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=7997, right_input=0, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=0","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲1774+⫶⩼⫲D0D)⪘⫢(⫶⩼⫲170E∲⫓⫶⩼⫲D24)=⫶⩼⫲0","reverse_text":"⫶⩼⫲0=(⫶⩼⫲1774+⫶⩼⫲D0D)⪘⫢(⫶⩼⫲170E∲⫓⫶⩼⫲D24)","cot":[{"info":"⫶⩼⫲1774+⫶⩼⫲D0D=⫶⩼⫲2582","layer":1},{"info":"⫶⩼⫲170E∲⫓⫶⩼⫲D24=⫶⩼⫲0","layer":1},{"info":"⫶⩼⫲2582⪘⫢⫶⩼⫲0=⫶⩼⫲0","layer":0}]}
{"id":23,"expression_no_base_symbol":"($6609$⩨$3137$)↬$1675$∼$2744$","expression":"(⫶⩼⫲1E59⩨⫶⩼⫲DE2)↬⫶⩼⫲76A∼⫶⩼⫲C2E","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":39,"operation_count":3,"complexity_ratio":13.0,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":6609,"base":15},"right_expr":{"type":"numeric_atoms","value":3137,"base":15}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1675,"base":15},"right_expr":{"type":"numeric_atoms","value":2744,"base":15}}},"used_operators":["B5M0gjZbta","2DlMacCsIx","DyGG3AbaNP"],"dependent_operators":["rGHVDoGpnC","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=6609","layer":2},{"info":"number node, value=3137","layer":2},{"info":"compute binary expreesion, left_input=6609, right_input=3137, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":1},{"info":"number node, value=1675","layer":2},{"info":"number node, value=2744","layer":2},{"info":"compute binary expreesion, left_input=1675, right_input=2744, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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":15,"result_base":15,"text":"(⫶⩼⫲1E59⩨⫶⩼⫲DE2)↬⫶⩼⫲76A∼⫶⩼⫲C2E=NaN","reverse_text":"NaN=(⫶⩼⫲1E59⩨⫶⩼⫲DE2)↬⫶⩼⫲76A∼⫶⩼⫲C2E","cot":[{"info":"⫶⩼⫲1E59⩨⫶⩼⫲DE2=⫶⩼⫲0","layer":1},{"info":"⫶⩼⫲76A∼⫶⩼⫲C2E=NaN","layer":1},{"info":"⫶⩼⫲0↬NaN=NaN","layer":0}]}
{"id":24,"expression_no_base_symbol":"(+⊝⨔$2233$)⫥∨⫟$1623$⪘⫢$1006$","expression":"(+⊝⨔⫶⩼⫲9DD)⫥∨⫟⫶⩼⫲733⪘⫢⫶⩼⫲471","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":209,"operation_count":3,"complexity_ratio":69.66666666666667,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":2233,"base":15}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1623,"base":15},"right_expr":{"type":"numeric_atoms","value":1006,"base":15}}},"used_operators":["KYD54nUTWz","DhbWaqg5eL","oacrs7FA3X"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=2233","layer":2},{"info":"compute unary expreesion, input=2233, op_id = 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=1623","layer":2},{"info":"number node, value=1006","layer":2},{"info":"compute binary expreesion, left_input=1623, right_input=1006, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=3122","layer":1},{"info":"compute binary expreesion, left_input=1522, right_input=3122, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"(+⊝⨔⫶⩼⫲9DD)⫥∨⫟⫶⩼⫲733⪘⫢⫶⩼⫲471=NaN","reverse_text":"NaN=(+⊝⨔⫶⩼⫲9DD)⫥∨⫟⫶⩼⫲733⪘⫢⫶⩼⫲471","cot":[{"info":"+⊝⨔⫶⩼⫲9DD=⫶⩼⫲6B7","layer":1},{"info":"⫶⩼⫲733⪘⫢⫶⩼⫲471=⫶⩼⫲DD2","layer":1},{"info":"⫶⩼⫲6B7⫥∨⫟⫶⩼⫲DD2=NaN","layer":0}]}
{"id":25,"expression_no_base_symbol":"($2939$⊭∹↮)⪄$3460$⫸⊐$1122$","expression":"(⫶⩼⫲D0E⊭∹↮)⪄⫶⩼⫲105A⫸⊐⫶⩼⫲4EC","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":125,"operation_count":3,"complexity_ratio":41.666666666666664,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":2939,"base":15}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":3460,"base":15},"right_expr":{"type":"numeric_atoms","value":1122,"base":15}}},"used_operators":["SUmda5xLS4","xNBdhnnwKq","mqXw5SEYmG"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"⫶⩼⫲-126B90","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2939","layer":2},{"info":"compute unary expreesion, input=2939, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=5878","layer":1},{"info":"number node, value=3460","layer":2},{"info":"number node, value=1122","layer":2},{"info":"compute binary expreesion, left_input=3460, right_input=1122, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=4363","layer":1},{"info":"compute binary expreesion, left_input=5878, right_input=4363, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-883485","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲D0E⊭∹↮)⪄⫶⩼⫲105A⫸⊐⫶⩼⫲4EC=⫶⩼⫲-126B90","reverse_text":"⫶⩼⫲-126B90=(⫶⩼⫲D0E⊭∹↮)⪄⫶⩼⫲105A⫸⊐⫶⩼⫲4EC","cot":[{"info":"⫶⩼⫲D0E⊭∹↮=⫶⩼⫲1B1D","layer":1},{"info":"⫶⩼⫲105A⫸⊐⫶⩼⫲4EC=⫶⩼⫲145D","layer":1},{"info":"⫶⩼⫲1B1D⪄⫶⩼⫲145D=⫶⩼⫲-126B90","layer":0}]}
{"id":26,"expression_no_base_symbol":"$8050$≧⫂∧$1566$⩤","expression":"⫶⩼⫲25BA≧⫂∧⫶⩼⫲6E6⩤","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2,"operation_count":2,"complexity_ratio":1.0,"tree":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":8050,"base":15},"right_expr":{"type":"numeric_atoms","value":1566,"base":15}}},"used_operators":["Z2TMIBDE3Q","Ph9nP6C5qx"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⫶⩼⫲-4CD","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=8050","layer":2},{"info":"number node, value=1566","layer":2},{"info":"compute binary expreesion, left_input=8050, right_input=1566, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1093","layer":1},{"info":"compute unary expreesion, input=1093, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-1093","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲25BA≧⫂∧⫶⩼⫲6E6⩤=⫶⩼⫲-4CD","reverse_text":"⫶⩼⫲-4CD=⫶⩼⫲25BA≧⫂∧⫶⩼⫲6E6⩤","cot":[{"info":"⫶⩼⫲25BA≧⫂∧⫶⩼⫲6E6=⫶⩼⫲4CD","layer":1},{"info":"⫶⩼⫲4CD⩤=⫶⩼⫲-4CD","layer":0}]}
{"id":27,"expression_no_base_symbol":"(⨰⫟⨤$5363$)∀⇚≩($3607$≎⊠⪸$6276$)","expression":"(⨰⫟⨤⫶⩼⫲18C8)∀⇚≩(⫶⩼⫲1107≎⊠⪸⫶⩼⫲1CD6)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":20883,"operation_count":3,"complexity_ratio":6961.0,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":5363,"base":15}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":3607,"base":15},"right_expr":{"type":"numeric_atoms","value":6276,"base":15}}},"used_operators":["LRNGc0VcxI","Tw270M8GLb","bJkvcejdHO"],"dependent_operators":["X99M06cbEe","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=5363","layer":2},{"info":"compute unary expreesion, input=5363, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":1},{"info":"number node, value=3607","layer":2},{"info":"number node, value=6276","layer":2},{"info":"compute binary expreesion, left_input=3607, right_input=6276, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=933740","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=933740, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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":15,"result_base":15,"text":"(⨰⫟⨤⫶⩼⫲18C8)∀⇚≩(⫶⩼⫲1107≎⊠⪸⫶⩼⫲1CD6)=NaN","reverse_text":"NaN=(⨰⫟⨤⫶⩼⫲18C8)∀⇚≩(⫶⩼⫲1107≎⊠⪸⫶⩼⫲1CD6)","cot":[{"info":"⨰⫟⨤⫶⩼⫲18C8=NaN","layer":1},{"info":"⫶⩼⫲1107≎⊠⪸⫶⩼⫲1CD6=⫶⩼⫲1369E5","layer":1},{"info":"NaN∀⇚≩⫶⩼⫲1369E5=NaN","layer":0}]}
{"id":28,"expression_no_base_symbol":"($1821$⋥≓≎$1489$)⇋≉","expression":"(⫶⩼⫲816⋥≓≎⫶⩼⫲694)⇋≉","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":7,"operation_count":2,"complexity_ratio":3.5,"tree":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1821,"base":15},"right_expr":{"type":"numeric_atoms","value":1489,"base":15}}},"used_operators":["XIabStNQrY","Qy55tPpLXF"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⫶⩼⫲A22","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1821","layer":2},{"info":"number node, value=1489","layer":2},{"info":"compute binary expreesion, left_input=1821, right_input=1489, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=1190","layer":1},{"info":"compute unary expreesion, input=1190, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=2282","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲816⋥≓≎⫶⩼⫲694)⇋≉=⫶⩼⫲A22","reverse_text":"⫶⩼⫲A22=(⫶⩼⫲816⋥≓≎⫶⩼⫲694)⇋≉","cot":[{"info":"⫶⩼⫲816⋥≓≎⫶⩼⫲694=⫶⩼⫲545","layer":1},{"info":"⫶⩼⫲545⇋≉=⫶⩼⫲A22","layer":0}]}
{"id":29,"expression_no_base_symbol":"(⪲⇎$5826$)%$2585$≭$5284$","expression":"(⪲⇎⫶⩼⫲1AD6)%⫶⩼⫲B75≭⫶⩼⫲1874","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4,"operation_count":3,"complexity_ratio":1.3333333333333333,"tree":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":5826,"base":15}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2585,"base":15},"right_expr":{"type":"numeric_atoms","value":5284,"base":15}}},"used_operators":["k8jYdgA6NY","XPYlsWDdGa","rxpJgHHUmx"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=5826","layer":2},{"info":"compute unary expreesion, input=5826, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=11652","layer":1},{"info":"number node, value=2585","layer":2},{"info":"number node, value=5284","layer":2},{"info":"compute binary expreesion, left_input=2585, right_input=5284, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=11652, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":0}],"base":15,"result_base":15,"text":"(⪲⇎⫶⩼⫲1AD6)%⫶⩼⫲B75≭⫶⩼⫲1874=NaN","reverse_text":"NaN=(⪲⇎⫶⩼⫲1AD6)%⫶⩼⫲B75≭⫶⩼⫲1874","cot":[{"info":"⪲⇎⫶⩼⫲1AD6=⫶⩼⫲36BC","layer":1},{"info":"⫶⩼⫲B75≭⫶⩼⫲1874=NaN","layer":1},{"info":"⫶⩼⫲36BC%NaN=NaN","layer":0}]}
{"id":30,"expression_no_base_symbol":"($5755$⨵⪆$2360$)⪠⩆⊳","expression":"(⫶⩼⫲1A8A⨵⪆⫶⩼⫲A75)⪠⩆⊳","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":7,"operation_count":2,"complexity_ratio":3.5,"tree":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":5755,"base":15},"right_expr":{"type":"numeric_atoms","value":2360,"base":15}}},"used_operators":["JLbD19bQDL","2DQ55sFlQl"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⫶⩼⫲0","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=5755","layer":2},{"info":"number node, value=2360","layer":2},{"info":"compute binary expreesion, left_input=5755, right_input=2360, 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 = 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":15,"result_base":15,"text":"(⫶⩼⫲1A8A⨵⪆⫶⩼⫲A75)⪠⩆⊳=⫶⩼⫲0","reverse_text":"⫶⩼⫲0=(⫶⩼⫲1A8A⨵⪆⫶⩼⫲A75)⪠⩆⊳","cot":[{"info":"⫶⩼⫲1A8A⨵⪆⫶⩼⫲A75=⫶⩼⫲AA","layer":1},{"info":"⫶⩼⫲AA⪠⩆⊳=⫶⩼⫲0","layer":0}]}
{"id":31,"expression_no_base_symbol":"($2159$⨸⪁$3659$)⫸⊐$3222$+⇶⊼$5798$","expression":"(⫶⩼⫲98E⨸⪁⫶⩼⫲113E)⫸⊐⫶⩼⫲E4C+⇶⊼⫶⩼⫲1AB8","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":26,"operation_count":3,"complexity_ratio":8.666666666666666,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2159,"base":15},"right_expr":{"type":"numeric_atoms","value":3659,"base":15}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":3222,"base":15},"right_expr":{"type":"numeric_atoms","value":5798,"base":15}}},"used_operators":["mqXw5SEYmG","g55IO6H4Gj","TpPTUOHfaN"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=2159","layer":2},{"info":"number node, value=3659","layer":2},{"info":"compute binary expreesion, left_input=2159, right_input=3659, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=11636","layer":1},{"info":"number node, value=3222","layer":2},{"info":"number node, value=5798","layer":2},{"info":"compute binary expreesion, left_input=3222, right_input=5798, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=11636, 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":15,"result_base":15,"text":"(⫶⩼⫲98E⨸⪁⫶⩼⫲113E)⫸⊐⫶⩼⫲E4C+⇶⊼⫶⩼⫲1AB8=NaN","reverse_text":"NaN=(⫶⩼⫲98E⨸⪁⫶⩼⫲113E)⫸⊐⫶⩼⫲E4C+⇶⊼⫶⩼⫲1AB8","cot":[{"info":"⫶⩼⫲98E⨸⪁⫶⩼⫲113E=⫶⩼⫲36AB","layer":1},{"info":"⫶⩼⫲E4C+⇶⊼⫶⩼⫲1AB8=NaN","layer":1},{"info":"⫶⩼⫲36AB⫸⊐NaN=NaN","layer":0}]}
{"id":32,"expression_no_base_symbol":"($3952$⊉≛↸$1953$)⫥∨⫟($3242$⊘)","expression":"(⫶⩼⫲1287⊉≛↸⫶⩼⫲8A3)⫥∨⫟(⫶⩼⫲E62⊘)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":175,"operation_count":3,"complexity_ratio":58.333333333333336,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":3952,"base":15},"right_expr":{"type":"numeric_atoms","value":1953,"base":15}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":3242,"base":15}}},"used_operators":["KYD54nUTWz","DZ8iAZOCBD","gu96TGCTMs"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=3952","layer":2},{"info":"number node, value=1953","layer":2},{"info":"compute binary expreesion, left_input=3952, right_input=1953, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=7904","layer":1},{"info":"number node, value=3242","layer":2},{"info":"compute unary expreesion, input=3242, 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=7904, right_input=0, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲1287⊉≛↸⫶⩼⫲8A3)⫥∨⫟(⫶⩼⫲E62⊘)=NaN","reverse_text":"NaN=(⫶⩼⫲1287⊉≛↸⫶⩼⫲8A3)⫥∨⫟(⫶⩼⫲E62⊘)","cot":[{"info":"⫶⩼⫲1287⊉≛↸⫶⩼⫲8A3=⫶⩼⫲251E","layer":1},{"info":"⫶⩼⫲E62⊘=⫶⩼⫲0","layer":1},{"info":"⫶⩼⫲251E⫥∨⫟⫶⩼⫲0=NaN","layer":0}]}
{"id":33,"expression_no_base_symbol":"($2602$+$2031$)⋥≓≎$4214$⊴$7534$","expression":"(⫶⩼⫲B87+⫶⩼⫲906)⋥≓≎⫶⩼⫲13AE⊴⫶⩼⫲2374","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7545,"operation_count":3,"complexity_ratio":2515.0,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2602,"base":15},"right_expr":{"type":"numeric_atoms","value":2031,"base":15}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":4214,"base":15},"right_expr":{"type":"numeric_atoms","value":7534,"base":15}}},"used_operators":["Qy55tPpLXF","W4YGzv6Whe","Nsiff2A1zJ"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2602","layer":2},{"info":"number node, value=2031","layer":2},{"info":"compute binary expreesion, left_input=2602, right_input=2031, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4633","layer":1},{"info":"number node, value=4214","layer":2},{"info":"number node, value=7534","layer":2},{"info":"compute binary expreesion, left_input=4214, right_input=7534, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=4633, 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":15,"result_base":15,"text":"(⫶⩼⫲B87+⫶⩼⫲906)⋥≓≎⫶⩼⫲13AE⊴⫶⩼⫲2374=NaN","reverse_text":"NaN=(⫶⩼⫲B87+⫶⩼⫲906)⋥≓≎⫶⩼⫲13AE⊴⫶⩼⫲2374","cot":[{"info":"⫶⩼⫲B87+⫶⩼⫲906=⫶⩼⫲158D","layer":1},{"info":"⫶⩼⫲13AE⊴⫶⩼⫲2374=NaN","layer":1},{"info":"⫶⩼⫲158D⋥≓≎NaN=NaN","layer":0}]}
{"id":34,"expression_no_base_symbol":"⊄⩳↩($1195$⫩⊇)","expression":"⊄⩳↩(⫶⩼⫲54A⫩⊇)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5,"operation_count":2,"complexity_ratio":2.5,"tree":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":1195,"base":15}}},"used_operators":["8w2t5hMYqp","BjRHVeLaeN"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⫶⩼⫲1059","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1195","layer":2},{"info":"compute unary expreesion, input=1195, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-1153","layer":1},{"info":"compute unary expreesion, input=-1153, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=3459","layer":0}],"base":15,"result_base":15,"text":"⊄⩳↩(⫶⩼⫲54A⫩⊇)=⫶⩼⫲1059","reverse_text":"⫶⩼⫲1059=⊄⩳↩(⫶⩼⫲54A⫩⊇)","cot":[{"info":"⫶⩼⫲54A⫩⊇=⫶⩼⫲-51D","layer":1},{"info":"⊄⩳↩⫶⩼⫲-51D=⫶⩼⫲1059","layer":0}]}
{"id":35,"expression_no_base_symbol":"⊄⩳↩(⨵≀≌$1142$)","expression":"⊄⩳↩(⨵≀≌⫶⩼⫲512)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":6,"operation_count":2,"complexity_ratio":3.0,"tree":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1142,"base":15}}},"used_operators":["8w2t5hMYqp","srAu1WTS94"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A"],"result":"⫶⩼⫲30A3","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1142","layer":2},{"info":"compute unary expreesion, input=1142, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-3426","layer":1},{"info":"compute unary expreesion, input=-3426, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=10278","layer":0}],"base":15,"result_base":15,"text":"⊄⩳↩(⨵≀≌⫶⩼⫲512)=⫶⩼⫲30A3","reverse_text":"⫶⩼⫲30A3=⊄⩳↩(⨵≀≌⫶⩼⫲512)","cot":[{"info":"⨵≀≌⫶⩼⫲512=⫶⩼⫲-1036","layer":1},{"info":"⊄⩳↩⫶⩼⫲-1036=⫶⩼⫲30A3","layer":0}]}
{"id":36,"expression_no_base_symbol":"(⨵≀≌$6863$)⋷$3826$⨪↰⇹$1219$","expression":"(⨵≀≌⫶⩼⫲2078)⋷⫶⩼⫲1201⨪↰⇹⫶⩼⫲564","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3831,"operation_count":3,"complexity_ratio":1277.0,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":6863,"base":15}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":3826,"base":15},"right_expr":{"type":"numeric_atoms","value":1219,"base":15}}},"used_operators":["23Mk6UjR3U","srAu1WTS94","tmPS8pqC7x"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rJVOvQCfKK"],"result":"⫶⩼⫲C303","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=6863","layer":2},{"info":"compute unary expreesion, input=6863, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-20589","layer":1},{"info":"number node, value=3826","layer":2},{"info":"number node, value=1219","layer":2},{"info":"compute binary expreesion, left_input=3826, 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=3826","layer":1},{"info":"compute binary expreesion, left_input=-20589, right_input=3826, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=41178","layer":0}],"base":15,"result_base":15,"text":"(⨵≀≌⫶⩼⫲2078)⋷⫶⩼⫲1201⨪↰⇹⫶⩼⫲564=⫶⩼⫲C303","reverse_text":"⫶⩼⫲C303=(⨵≀≌⫶⩼⫲2078)⋷⫶⩼⫲1201⨪↰⇹⫶⩼⫲564","cot":[{"info":"⨵≀≌⫶⩼⫲2078=⫶⩼⫲-6179","layer":1},{"info":"⫶⩼⫲1201⨪↰⇹⫶⩼⫲564=⫶⩼⫲1201","layer":1},{"info":"⫶⩼⫲-6179⋷⫶⩼⫲1201=⫶⩼⫲C303","layer":0}]}
{"id":37,"expression_no_base_symbol":"(⊥$1792$)⨪↰⇹($2209$+$2655$)","expression":"(⊥⫶⩼⫲7E7)⨪↰⇹(⫶⩼⫲9C4+⫶⩼⫲BC0)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3,"operation_count":3,"complexity_ratio":1.0,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":1792,"base":15}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2209,"base":15},"right_expr":{"type":"numeric_atoms","value":2655,"base":15}}},"used_operators":["tmPS8pqC7x","Q3PJZHRvZv","W4YGzv6Whe"],"dependent_operators":["rJVOvQCfKK","fu6greOZ01"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1792","layer":2},{"info":"compute unary expreesion, input=1792, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":1},{"info":"number node, value=2209","layer":2},{"info":"number node, value=2655","layer":2},{"info":"compute binary expreesion, left_input=2209, right_input=2655, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4864","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=4864, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((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":15,"result_base":15,"text":"(⊥⫶⩼⫲7E7)⨪↰⇹(⫶⩼⫲9C4+⫶⩼⫲BC0)=NaN","reverse_text":"NaN=(⊥⫶⩼⫲7E7)⨪↰⇹(⫶⩼⫲9C4+⫶⩼⫲BC0)","cot":[{"info":"⊥⫶⩼⫲7E7=NaN","layer":1},{"info":"⫶⩼⫲9C4+⫶⩼⫲BC0=⫶⩼⫲1694","layer":1},{"info":"NaN⨪↰⇹⫶⩼⫲1694=NaN","layer":0}]}
{"id":38,"expression_no_base_symbol":"$2265$∼$1187$⋫","expression":"⫶⩼⫲A10∼⫶⩼⫲542⋫","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":47,"operation_count":2,"complexity_ratio":23.5,"tree":{"type":"unary","operator":"⋫","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2265,"base":15},"right_expr":{"type":"numeric_atoms","value":1187,"base":15}}},"used_operators":["JL8yIekQnl","DyGG3AbaNP"],"dependent_operators":["tmPS8pqC7x","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=2265","layer":2},{"info":"number node, value=1187","layer":2},{"info":"compute binary expreesion, left_input=2265, right_input=1187, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲A10∼⫶⩼⫲542⋫=NaN","reverse_text":"NaN=⫶⩼⫲A10∼⫶⩼⫲542⋫","cot":[{"info":"⫶⩼⫲A10∼⫶⩼⫲542=NaN","layer":1},{"info":"NaN⋫=NaN","layer":0}]}
{"id":39,"expression_no_base_symbol":"($2016$%$1262$)⋓(⇁⨣⪵$2533$)","expression":"(⫶⩼⫲8E6%⫶⩼⫲592)⋓(⇁⨣⪵⫶⩼⫲B3D)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":15,"operation_count":3,"complexity_ratio":5.0,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2016,"base":15},"right_expr":{"type":"numeric_atoms","value":1262,"base":15}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":2533,"base":15}}},"used_operators":["T2fj7uvVaJ","k8jYdgA6NY","inkyxCbjAn"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","B5M0gjZbta"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=2016","layer":2},{"info":"number node, value=1262","layer":2},{"info":"compute binary expreesion, left_input=2016, right_input=1262, op_id = k8jYdgA6NY binary_op_definition= 'None', output=754","layer":1},{"info":"number node, value=2533","layer":2},{"info":"compute unary expreesion, input=2533, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=754, 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":15,"result_base":15,"text":"(⫶⩼⫲8E6%⫶⩼⫲592)⋓(⇁⨣⪵⫶⩼⫲B3D)=NaN","reverse_text":"NaN=(⫶⩼⫲8E6%⫶⩼⫲592)⋓(⇁⨣⪵⫶⩼⫲B3D)","cot":[{"info":"⫶⩼⫲8E6%⫶⩼⫲592=⫶⩼⫲354","layer":1},{"info":"⇁⨣⪵⫶⩼⫲B3D=NaN","layer":1},{"info":"⫶⩼⫲354⋓NaN=NaN","layer":0}]}
{"id":40,"expression_no_base_symbol":"($1053$⊭∹↮)⪢($1187$⪛$2025$)","expression":"(⫶⩼⫲4A3⊭∹↮)⪢(⫶⩼⫲542⪛⫶⩼⫲900)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1385,"operation_count":3,"complexity_ratio":461.6666666666667,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":1053,"base":15}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1187,"base":15},"right_expr":{"type":"numeric_atoms","value":2025,"base":15}}},"used_operators":["dWAJyo7jo9","xNBdhnnwKq","uFcxV4UQCh"],"dependent_operators":["k8jYdgA6NY","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1053","layer":2},{"info":"compute unary expreesion, input=1053, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=2106","layer":1},{"info":"number node, value=1187","layer":2},{"info":"number node, value=2025","layer":2},{"info":"compute binary expreesion, left_input=1187, right_input=2025, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1187","layer":1},{"info":"compute binary expreesion, left_input=2106, right_input=1187, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲4A3⊭∹↮)⪢(⫶⩼⫲542⪛⫶⩼⫲900)=NaN","reverse_text":"NaN=(⫶⩼⫲4A3⊭∹↮)⪢(⫶⩼⫲542⪛⫶⩼⫲900)","cot":[{"info":"⫶⩼⫲4A3⊭∹↮=⫶⩼⫲956","layer":1},{"info":"⫶⩼⫲542⪛⫶⩼⫲900=⫶⩼⫲542","layer":1},{"info":"⫶⩼⫲956⪢⫶⩼⫲542=NaN","layer":0}]}
{"id":41,"expression_no_base_symbol":"(⪝⪂⫅$3940$)⊘","expression":"(⪝⪂⫅⫶⩼⫲127A)⊘","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":171,"operation_count":2,"complexity_ratio":85.5,"tree":{"type":"unary","operator":"⊘","unary_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":3940,"base":15}}},"used_operators":["gu96TGCTMs","XTarYq4gQB"],"dependent_operators":["XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","9HNa5Wba9A","8w2t5hMYqp"],"result":"⫶⩼⫲-1","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=3940","layer":2},{"info":"compute unary expreesion, input=3940, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-579180","layer":1},{"info":"compute unary expreesion, input=-579180, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=-1","layer":0}],"base":15,"result_base":15,"text":"(⪝⪂⫅⫶⩼⫲127A)⊘=⫶⩼⫲-1","reverse_text":"⫶⩼⫲-1=(⪝⪂⫅⫶⩼⫲127A)⊘","cot":[{"info":"⪝⪂⫅⫶⩼⫲127A=⫶⩼⫲-B6920","layer":1},{"info":"⫶⩼⫲-B6920⊘=⫶⩼⫲-1","layer":0}]}
{"id":42,"expression_no_base_symbol":"≉$1359$⨽$4012$","expression":"≉⫶⩼⫲609⨽⫶⩼⫲12C7","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1369,"operation_count":2,"complexity_ratio":684.5,"tree":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1359,"base":15},"right_expr":{"type":"numeric_atoms","value":4012,"base":15}}},"used_operators":["e1ybzncUwg","8HhzD0ZcuI"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"⫶⩼⫲-749CB0","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1359","layer":2},{"info":"number node, value=4012","layer":2},{"info":"compute binary expreesion, left_input=1359, right_input=4012, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-5551365","layer":1},{"info":"compute unary expreesion, input=-5551365, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=-5551365","layer":0}],"base":15,"result_base":15,"text":"≉⫶⩼⫲609⨽⫶⩼⫲12C7=⫶⩼⫲-749CB0","reverse_text":"⫶⩼⫲-749CB0=≉⫶⩼⫲609⨽⫶⩼⫲12C7","cot":[{"info":"⫶⩼⫲609⨽⫶⩼⫲12C7=⫶⩼⫲-749CB0","layer":1},{"info":"≉⫶⩼⫲-749CB0=⫶⩼⫲-749CB0","layer":0}]}
{"id":43,"expression_no_base_symbol":"(⋗⩬⋾$4075$)≭$2071$≧⫂∧$1172$","expression":"(⋗⩬⋾⫶⩼⫲131A)≭⫶⩼⫲931≧⫂∧⫶⩼⫲532","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5,"operation_count":3,"complexity_ratio":1.6666666666666667,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":4075,"base":15}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2071,"base":15},"right_expr":{"type":"numeric_atoms","value":1172,"base":15}}},"used_operators":["rxpJgHHUmx","DpFCA1CohY","Ph9nP6C5qx"],"dependent_operators":["AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=4075","layer":2},{"info":"compute unary expreesion, input=4075, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-12225","layer":1},{"info":"number node, value=2071","layer":2},{"info":"number node, value=1172","layer":2},{"info":"compute binary expreesion, left_input=2071, right_input=1172, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=699","layer":1},{"info":"compute binary expreesion, left_input=-12225, right_input=699, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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":15,"result_base":15,"text":"(⋗⩬⋾⫶⩼⫲131A)≭⫶⩼⫲931≧⫂∧⫶⩼⫲532=NaN","reverse_text":"NaN=(⋗⩬⋾⫶⩼⫲131A)≭⫶⩼⫲931≧⫂∧⫶⩼⫲532","cot":[{"info":"⋗⩬⋾⫶⩼⫲131A=⫶⩼⫲-3950","layer":1},{"info":"⫶⩼⫲931≧⫂∧⫶⩼⫲532=⫶⩼⫲319","layer":1},{"info":"⫶⩼⫲-3950≭⫶⩼⫲319=NaN","layer":0}]}
{"id":44,"expression_no_base_symbol":"($1231$*$3249$)⋓(≤/$1002$)","expression":"(⫶⩼⫲571*⫶⩼⫲E69)⋓(≤/⫶⩼⫲46C)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1245,"operation_count":3,"complexity_ratio":415.0,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1231,"base":15},"right_expr":{"type":"numeric_atoms","value":3249,"base":15}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1002,"base":15}}},"used_operators":["T2fj7uvVaJ","9HNa5Wba9A","eLAdDNolq6"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","rysDP5nf3Z"],"result":"⫶⩼⫲0","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1231","layer":2},{"info":"number node, value=3249","layer":2},{"info":"compute binary expreesion, left_input=1231, right_input=3249, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=3999519","layer":1},{"info":"number node, value=1002","layer":2},{"info":"compute unary expreesion, input=1002, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-518","layer":1},{"info":"compute binary expreesion, left_input=3999519, right_input=-518, op_id = T2fj7uvVaJ binary_op_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":15,"result_base":15,"text":"(⫶⩼⫲571*⫶⩼⫲E69)⋓(≤/⫶⩼⫲46C)=⫶⩼⫲0","reverse_text":"⫶⩼⫲0=(⫶⩼⫲571*⫶⩼⫲E69)⋓(≤/⫶⩼⫲46C)","cot":[{"info":"⫶⩼⫲571*⫶⩼⫲E69=⫶⩼⫲540099","layer":1},{"info":"≤/⫶⩼⫲46C=⫶⩼⫲-248","layer":1},{"info":"⫶⩼⫲540099⋓⫶⩼⫲-248=⫶⩼⫲0","layer":0}]}
{"id":45,"expression_no_base_symbol":"$2635$⋝⋈⪟$5746$⨐⩸⫘($8519$⪄$1058$)","expression":"⫶⩼⫲BAA⋝⋈⪟⫶⩼⫲1A81⨐⩸⫘(⫶⩼⫲27CE⪄⫶⩼⫲4A8)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":99,"operation_count":3,"complexity_ratio":33.0,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2635,"base":15},"right_expr":{"type":"numeric_atoms","value":5746,"base":15}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":8519,"base":15},"right_expr":{"type":"numeric_atoms","value":1058,"base":15}}},"used_operators":["fu6greOZ01","2DDjHMKMc0","SUmda5xLS4"],"dependent_operators":["3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2635","layer":2},{"info":"number node, value=5746","layer":2},{"info":"compute binary expreesion, left_input=2635, right_input=5746, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2635","layer":1},{"info":"number node, value=8519","layer":2},{"info":"number node, value=1058","layer":2},{"info":"compute binary expreesion, left_input=8519, right_input=1058, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-1261133","layer":1},{"info":"compute binary expreesion, left_input=2635, right_input=-1261133, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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":15,"result_base":15,"text":"⫶⩼⫲BAA⋝⋈⪟⫶⩼⫲1A81⨐⩸⫘(⫶⩼⫲27CE⪄⫶⩼⫲4A8)=NaN","reverse_text":"NaN=⫶⩼⫲BAA⋝⋈⪟⫶⩼⫲1A81⨐⩸⫘(⫶⩼⫲27CE⪄⫶⩼⫲4A8)","cot":[{"info":"⫶⩼⫲BAA⋝⋈⪟⫶⩼⫲1A81=⫶⩼⫲BAA","layer":1},{"info":"⫶⩼⫲27CE⪄⫶⩼⫲4A8=⫶⩼⫲-19DA08","layer":1},{"info":"⫶⩼⫲BAA⨐⩸⫘⫶⩼⫲-19DA08=NaN","layer":0}]}
{"id":46,"expression_no_base_symbol":"↯⪼($4590$⨸⪁$2078$)","expression":"↯⪼(⫶⩼⫲1560⨸⪁⫶⩼⫲938)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":34,"operation_count":2,"complexity_ratio":17.0,"tree":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":4590,"base":15},"right_expr":{"type":"numeric_atoms","value":2078,"base":15}}},"used_operators":["8jW3W4yZS5","g55IO6H4Gj"],"dependent_operators":["eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","W4YGzv6Whe"],"result":"⫶⩼⫲-16","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=4590","layer":2},{"info":"number node, value=2078","layer":2},{"info":"compute binary expreesion, left_input=4590, right_input=2078, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=13336","layer":1},{"info":"compute unary expreesion, input=13336, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":0}],"base":15,"result_base":15,"text":"↯⪼(⫶⩼⫲1560⨸⪁⫶⩼⫲938)=⫶⩼⫲-16","reverse_text":"⫶⩼⫲-16=↯⪼(⫶⩼⫲1560⨸⪁⫶⩼⫲938)","cot":[{"info":"⫶⩼⫲1560⨸⪁⫶⩼⫲938=⫶⩼⫲3E41","layer":1},{"info":"↯⪼⫶⩼⫲3E41=⫶⩼⫲-16","layer":0}]}
{"id":47,"expression_no_base_symbol":"⊥($4242$≎⊠⪸$3130$)","expression":"⊥(⫶⩼⫲13CC≎⊠⪸⫶⩼⫲DDA)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":271,"operation_count":2,"complexity_ratio":135.5,"tree":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":4242,"base":15},"right_expr":{"type":"numeric_atoms","value":3130,"base":15}}},"used_operators":["Q3PJZHRvZv","bJkvcejdHO"],"dependent_operators":["fu6greOZ01","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=4242","layer":2},{"info":"number node, value=3130","layer":2},{"info":"compute binary expreesion, left_input=4242, right_input=3130, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1098205","layer":1},{"info":"compute unary expreesion, input=1098205, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"⊥(⫶⩼⫲13CC≎⊠⪸⫶⩼⫲DDA)=NaN","reverse_text":"NaN=⊥(⫶⩼⫲13CC≎⊠⪸⫶⩼⫲DDA)","cot":[{"info":"⫶⩼⫲13CC≎⊠⪸⫶⩼⫲DDA=⫶⩼⫲16A5DA","layer":1},{"info":"⊥⫶⩼⫲16A5DA=NaN","layer":0}]}
{"id":48,"expression_no_base_symbol":"($1921$*$2123$)⪢($4112$↺$2118$)","expression":"(⫶⩼⫲881*⫶⩼⫲968)⪢(⫶⩼⫲1342↺⫶⩼⫲963)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":425572,"operation_count":3,"complexity_ratio":141857.33333333334,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1921,"base":15},"right_expr":{"type":"numeric_atoms","value":2123,"base":15}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":4112,"base":15},"right_expr":{"type":"numeric_atoms","value":2118,"base":15}}},"used_operators":["dWAJyo7jo9","9HNa5Wba9A","7j4O788W3g"],"dependent_operators":["k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1921","layer":2},{"info":"number node, value=2123","layer":2},{"info":"compute binary expreesion, left_input=1921, right_input=2123, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=4078283","layer":1},{"info":"number node, value=4112","layer":2},{"info":"number node, value=2118","layer":2},{"info":"compute binary expreesion, left_input=4112, right_input=2118, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2118","layer":1},{"info":"compute binary expreesion, left_input=4078283, right_input=2118, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲881*⫶⩼⫲968)⪢(⫶⩼⫲1342↺⫶⩼⫲963)=NaN","reverse_text":"NaN=(⫶⩼⫲881*⫶⩼⫲968)⪢(⫶⩼⫲1342↺⫶⩼⫲963)","cot":[{"info":"⫶⩼⫲881*⫶⩼⫲968=⫶⩼⫲5585A8","layer":1},{"info":"⫶⩼⫲1342↺⫶⩼⫲963=⫶⩼⫲963","layer":1},{"info":"⫶⩼⫲5585A8⪢⫶⩼⫲963=NaN","layer":0}]}
{"id":49,"expression_no_base_symbol":"($4364$/$1435$)⋝⋈⪟($1311$⪨≂$1533$)","expression":"(⫶⩼⫲145E/⫶⩼⫲65A)⋝⋈⪟(⫶⩼⫲5C6⪨≂⫶⩼⫲6C3)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":11,"operation_count":3,"complexity_ratio":3.6666666666666665,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":4364,"base":15},"right_expr":{"type":"numeric_atoms","value":1435,"base":15}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1311,"base":15},"right_expr":{"type":"numeric_atoms","value":1533,"base":15}}},"used_operators":["2DDjHMKMc0","XhwjNDsVaA","sdazOOVcIp"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"⫶⩼⫲3","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=4364","layer":2},{"info":"number node, value=1435","layer":2},{"info":"compute binary expreesion, left_input=4364, right_input=1435, op_id = XhwjNDsVaA binary_op_definition= 'None', output=3","layer":1},{"info":"number node, value=1311","layer":2},{"info":"number node, value=1533","layer":2},{"info":"compute binary expreesion, left_input=1311, right_input=1533, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-342","layer":1},{"info":"compute binary expreesion, left_input=3, right_input=-342, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲145E/⫶⩼⫲65A)⋝⋈⪟(⫶⩼⫲5C6⪨≂⫶⩼⫲6C3)=⫶⩼⫲3","reverse_text":"⫶⩼⫲3=(⫶⩼⫲145E/⫶⩼⫲65A)⋝⋈⪟(⫶⩼⫲5C6⪨≂⫶⩼⫲6C3)","cot":[{"info":"⫶⩼⫲145E/⫶⩼⫲65A=⫶⩼⫲3","layer":1},{"info":"⫶⩼⫲5C6⪨≂⫶⩼⫲6C3=⫶⩼⫲-17C","layer":1},{"info":"⫶⩼⫲3⋝⋈⪟⫶⩼⫲-17C=⫶⩼⫲3","layer":0}]}
{"id":50,"expression_no_base_symbol":"($6142$⪨≂$5218$)↺(↔$1080$)","expression":"(⫶⩼⫲1C47⪨≂⫶⩼⫲182D)↺(↔⫶⩼⫲4C0)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":14,"operation_count":3,"complexity_ratio":4.666666666666667,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":6142,"base":15},"right_expr":{"type":"numeric_atoms","value":5218,"base":15}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":1080,"base":15}}},"used_operators":["7j4O788W3g","sdazOOVcIp","ruOEQAzv1W"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp"],"result":"⫶⩼⫲-38C","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=6142","layer":2},{"info":"number node, value=5218","layer":2},{"info":"compute binary expreesion, left_input=6142, right_input=5218, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=1950","layer":1},{"info":"number node, value=1080","layer":2},{"info":"compute unary expreesion, input=1080, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-807","layer":1},{"info":"compute binary expreesion, left_input=1950, right_input=-807, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-807","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲1C47⪨≂⫶⩼⫲182D)↺(↔⫶⩼⫲4C0)=⫶⩼⫲-38C","reverse_text":"⫶⩼⫲-38C=(⫶⩼⫲1C47⪨≂⫶⩼⫲182D)↺(↔⫶⩼⫲4C0)","cot":[{"info":"⫶⩼⫲1C47⪨≂⫶⩼⫲182D=⫶⩼⫲8A0","layer":1},{"info":"↔⫶⩼⫲4C0=⫶⩼⫲-38C","layer":1},{"info":"⫶⩼⫲8A0↺⫶⩼⫲-38C=⫶⩼⫲-38C","layer":0}]}
{"id":51,"expression_no_base_symbol":"∂($9116$⋝⋈⪟$6644$)","expression":"∂(⫶⩼⫲2A7B⋝⋈⪟⫶⩼⫲1E7E)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4,"operation_count":2,"complexity_ratio":2.0,"tree":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":9116,"base":15},"right_expr":{"type":"numeric_atoms","value":6644,"base":15}}},"used_operators":["Uaa54Peajs","2DDjHMKMc0"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=9116","layer":2},{"info":"number node, value=6644","layer":2},{"info":"compute binary expreesion, left_input=9116, right_input=6644, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=9116","layer":1},{"info":"compute unary expreesion, input=9116, 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":15,"result_base":15,"text":"∂(⫶⩼⫲2A7B⋝⋈⪟⫶⩼⫲1E7E)=NaN","reverse_text":"NaN=∂(⫶⩼⫲2A7B⋝⋈⪟⫶⩼⫲1E7E)","cot":[{"info":"⫶⩼⫲2A7B⋝⋈⪟⫶⩼⫲1E7E=⫶⩼⫲2A7B","layer":1},{"info":"∂⫶⩼⫲2A7B=NaN","layer":0}]}
{"id":52,"expression_no_base_symbol":"($1231$⨐⩸⫘$2838$)⨐⩸⫘(⨑⩽⪐$4061$)","expression":"(⫶⩼⫲571⨐⩸⫘⫶⩼⫲C93)⨐⩸⫘(⨑⩽⪐⫶⩼⫲130B)","highest_n_order":4,"priority_hierarchical_complexity":1,"normalized_expansion_degree":6,"operation_count":3,"complexity_ratio":2.0,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1231,"base":15},"right_expr":{"type":"numeric_atoms","value":2838,"base":15}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":4061,"base":15}}},"used_operators":["fu6greOZ01","AF7qkfDlqP"],"dependent_operators":["3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1231","layer":2},{"info":"number node, value=2838","layer":2},{"info":"compute binary expreesion, left_input=1231, right_input=2838, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"number node, value=4061","layer":2},{"info":"compute unary expreesion, input=4061, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-3788","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-3788, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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":15,"result_base":15,"text":"(⫶⩼⫲571⨐⩸⫘⫶⩼⫲C93)⨐⩸⫘(⨑⩽⪐⫶⩼⫲130B)=NaN","reverse_text":"NaN=(⫶⩼⫲571⨐⩸⫘⫶⩼⫲C93)⨐⩸⫘(⨑⩽⪐⫶⩼⫲130B)","cot":[{"info":"⫶⩼⫲571⨐⩸⫘⫶⩼⫲C93=NaN","layer":1},{"info":"⨑⩽⪐⫶⩼⫲130B=⫶⩼⫲-11C8","layer":1},{"info":"NaN⨐⩸⫘⫶⩼⫲-11C8=NaN","layer":0}]}
{"id":53,"expression_no_base_symbol":"⨵≀≌($6085$⩤)","expression":"⨵≀≌(⫶⩼⫲1C0A⩤)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":6091,"operation_count":2,"complexity_ratio":3045.5,"tree":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":6085,"base":15}}},"used_operators":["srAu1WTS94","Z2TMIBDE3Q"],"dependent_operators":["glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd"],"result":"⫶⩼⫲33B606A","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=6085","layer":2},{"info":"compute unary expreesion, input=6085, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-6085","layer":1},{"info":"compute unary expreesion, input=-6085, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=37027225","layer":0}],"base":15,"result_base":15,"text":"⨵≀≌(⫶⩼⫲1C0A⩤)=⫶⩼⫲33B606A","reverse_text":"⫶⩼⫲33B606A=⨵≀≌(⫶⩼⫲1C0A⩤)","cot":[{"info":"⫶⩼⫲1C0A⩤=⫶⩼⫲-1C0A","layer":1},{"info":"⨵≀≌⫶⩼⫲-1C0A=⫶⩼⫲33B606A","layer":0}]}
{"id":54,"expression_no_base_symbol":"$6593$⨎$2096$⨐⩸⫘$2499$⨽$6856$","expression":"⫶⩼⫲1E48⨎⫶⩼⫲94B⨐⩸⫘⫶⩼⫲B19⨽⫶⩼⫲2071","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2510,"operation_count":3,"complexity_ratio":836.6666666666666,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":6593,"base":15},"right_expr":{"type":"numeric_atoms","value":2096,"base":15}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2499,"base":15},"right_expr":{"type":"numeric_atoms","value":6856,"base":15}}},"used_operators":["fu6greOZ01","rJVOvQCfKK","8HhzD0ZcuI"],"dependent_operators":["3ViojmjbAp","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=6593","layer":2},{"info":"number node, value=2096","layer":2},{"info":"compute binary expreesion, left_input=6593, right_input=2096, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2096","layer":1},{"info":"number node, value=2499","layer":2},{"info":"number node, value=6856","layer":2},{"info":"compute binary expreesion, left_input=2499, right_input=6856, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-18754257","layer":1},{"info":"compute binary expreesion, left_input=2096, right_input=-18754257, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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":15,"result_base":15,"text":"⫶⩼⫲1E48⨎⫶⩼⫲94B⨐⩸⫘⫶⩼⫲B19⨽⫶⩼⫲2071=NaN","reverse_text":"NaN=⫶⩼⫲1E48⨎⫶⩼⫲94B⨐⩸⫘⫶⩼⫲B19⨽⫶⩼⫲2071","cot":[{"info":"⫶⩼⫲1E48⨎⫶⩼⫲94B=⫶⩼⫲94B","layer":1},{"info":"⫶⩼⫲B19⨽⫶⩼⫲2071=⫶⩼⫲-19A6C3C","layer":1},{"info":"⫶⩼⫲94B⨐⩸⫘⫶⩼⫲-19A6C3C=NaN","layer":0}]}
{"id":55,"expression_no_base_symbol":"≦∁$8451$≧⫂∧$3780$","expression":"≦∁⫶⩼⫲2786≧⫂∧⫶⩼⫲11C0","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2,"operation_count":2,"complexity_ratio":1.0,"tree":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":8451,"base":15},"right_expr":{"type":"numeric_atoms","value":3780,"base":15}}},"used_operators":["9ICcGScMcE","Ph9nP6C5qx"],"dependent_operators":["XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","t8gj7n24qd"],"result":"⫶⩼⫲EA7","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=8451","layer":2},{"info":"number node, value=3780","layer":2},{"info":"compute binary expreesion, left_input=8451, right_input=3780, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=3307","layer":1},{"info":"compute unary expreesion, input=3307, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=3307","layer":0}],"base":15,"result_base":15,"text":"≦∁⫶⩼⫲2786≧⫂∧⫶⩼⫲11C0=⫶⩼⫲EA7","reverse_text":"⫶⩼⫲EA7=≦∁⫶⩼⫲2786≧⫂∧⫶⩼⫲11C0","cot":[{"info":"⫶⩼⫲2786≧⫂∧⫶⩼⫲11C0=⫶⩼⫲EA7","layer":1},{"info":"≦∁⫶⩼⫲EA7=⫶⩼⫲EA7","layer":0}]}
{"id":56,"expression_no_base_symbol":"($1621$/$3491$)⇋≉","expression":"(⫶⩼⫲731/⫶⩼⫲107B)⇋≉","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4,"operation_count":2,"complexity_ratio":2.0,"tree":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1621,"base":15},"right_expr":{"type":"numeric_atoms","value":3491,"base":15}}},"used_operators":["XIabStNQrY","XhwjNDsVaA"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z"],"result":"⫶⩼⫲-68","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1621","layer":2},{"info":"number node, value=3491","layer":2},{"info":"compute binary expreesion, left_input=1621, right_input=3491, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=-98","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲731/⫶⩼⫲107B)⇋≉=⫶⩼⫲-68","reverse_text":"⫶⩼⫲-68=(⫶⩼⫲731/⫶⩼⫲107B)⇋≉","cot":[{"info":"⫶⩼⫲731/⫶⩼⫲107B=⫶⩼⫲0","layer":1},{"info":"⫶⩼⫲0⇋≉=⫶⩼⫲-68","layer":0}]}
{"id":57,"expression_no_base_symbol":"($2284$≧⫂∧$1953$)∼($2380$↬$3209$)","expression":"(⫶⩼⫲A24≧⫂∧⫶⩼⫲8A3)∼(⫶⩼⫲A8A↬⫶⩼⫲E3E)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":33,"operation_count":3,"complexity_ratio":11.0,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2284,"base":15},"right_expr":{"type":"numeric_atoms","value":1953,"base":15}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2380,"base":15},"right_expr":{"type":"numeric_atoms","value":3209,"base":15}}},"used_operators":["DyGG3AbaNP","Ph9nP6C5qx","B5M0gjZbta"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=2284","layer":2},{"info":"number node, value=1953","layer":2},{"info":"compute binary expreesion, left_input=2284, right_input=1953, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1480","layer":1},{"info":"number node, value=2380","layer":2},{"info":"number node, value=3209","layer":2},{"info":"compute binary expreesion, left_input=2380, 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":1},{"info":"compute binary expreesion, left_input=1480, 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":15,"result_base":15,"text":"(⫶⩼⫲A24≧⫂∧⫶⩼⫲8A3)∼(⫶⩼⫲A8A↬⫶⩼⫲E3E)=NaN","reverse_text":"NaN=(⫶⩼⫲A24≧⫂∧⫶⩼⫲8A3)∼(⫶⩼⫲A8A↬⫶⩼⫲E3E)","cot":[{"info":"⫶⩼⫲A24≧⫂∧⫶⩼⫲8A3=⫶⩼⫲68A","layer":1},{"info":"⫶⩼⫲A8A↬⫶⩼⫲E3E=NaN","layer":1},{"info":"⫶⩼⫲68A∼NaN=NaN","layer":0}]}
{"id":58,"expression_no_base_symbol":"(↯⪼$1040$)∑⇟⊟$4333$⪘⫢$2712$","expression":"(↯⪼⫶⩼⫲495)∑⇟⊟⫶⩼⫲143D⪘⫢⫶⩼⫲C0C","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":47,"operation_count":3,"complexity_ratio":15.666666666666666,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1040,"base":15}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":4333,"base":15},"right_expr":{"type":"numeric_atoms","value":2712,"base":15}}},"used_operators":["U7g4x0WXJJ","8jW3W4yZS5","oacrs7FA3X"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1040","layer":2},{"info":"compute unary expreesion, input=1040, 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=4333","layer":2},{"info":"number node, value=2712","layer":2},{"info":"compute binary expreesion, left_input=4333, right_input=2712, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=8542","layer":1},{"info":"compute binary expreesion, left_input=-21, right_input=8542, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":15,"result_base":15,"text":"(↯⪼⫶⩼⫲495)∑⇟⊟⫶⩼⫲143D⪘⫢⫶⩼⫲C0C=NaN","reverse_text":"NaN=(↯⪼⫶⩼⫲495)∑⇟⊟⫶⩼⫲143D⪘⫢⫶⩼⫲C0C","cot":[{"info":"↯⪼⫶⩼⫲495=⫶⩼⫲-16","layer":1},{"info":"⫶⩼⫲143D⪘⫢⫶⩼⫲C0C=⫶⩼⫲27E7","layer":1},{"info":"⫶⩼⫲-16∑⇟⊟⫶⩼⫲27E7=NaN","layer":0}]}
{"id":59,"expression_no_base_symbol":"$1100$⪢$2320$⊭↱($1579$∲⫓$1265$)","expression":"⫶⩼⫲4D5⪢⫶⩼⫲A4A⊭↱(⫶⩼⫲704∲⫓⫶⩼⫲595)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2328,"operation_count":3,"complexity_ratio":776.0,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1100,"base":15},"right_expr":{"type":"numeric_atoms","value":2320,"base":15}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1579,"base":15},"right_expr":{"type":"numeric_atoms","value":1265,"base":15}}},"used_operators":["COABgblf1C","dWAJyo7jo9","i8ToyICDmI"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1100","layer":2},{"info":"number node, value=2320","layer":2},{"info":"compute binary expreesion, left_input=1100, right_input=2320, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=1579","layer":2},{"info":"number node, value=1265","layer":2},{"info":"compute binary expreesion, left_input=1579, right_input=1265, 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 = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲4D5⪢⫶⩼⫲A4A⊭↱(⫶⩼⫲704∲⫓⫶⩼⫲595)=NaN","reverse_text":"NaN=⫶⩼⫲4D5⪢⫶⩼⫲A4A⊭↱(⫶⩼⫲704∲⫓⫶⩼⫲595)","cot":[{"info":"⫶⩼⫲4D5⪢⫶⩼⫲A4A=NaN","layer":1},{"info":"⫶⩼⫲704∲⫓⫶⩼⫲595=⫶⩼⫲0","layer":1},{"info":"NaN⊭↱⫶⩼⫲0=NaN","layer":0}]}
{"id":60,"expression_no_base_symbol":"($5182$⨸⪁$1763$)+⇶⊼(⋗⩬⋾$1304$)","expression":"(⫶⩼⫲1807⨸⪁⫶⩼⫲7C8)+⇶⊼(⋗⩬⋾⫶⩼⫲5BE)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7,"operation_count":3,"complexity_ratio":2.3333333333333335,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":5182,"base":15},"right_expr":{"type":"numeric_atoms","value":1763,"base":15}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1304,"base":15}}},"used_operators":["TpPTUOHfaN","g55IO6H4Gj","DpFCA1CohY"],"dependent_operators":["AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=5182","layer":2},{"info":"number node, value=1763","layer":2},{"info":"compute binary expreesion, left_input=5182, right_input=1763, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=13890","layer":1},{"info":"number node, value=1304","layer":2},{"info":"compute unary expreesion, input=1304, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-3912","layer":1},{"info":"compute binary expreesion, left_input=13890, right_input=-3912, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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":15,"result_base":15,"text":"(⫶⩼⫲1807⨸⪁⫶⩼⫲7C8)+⇶⊼(⋗⩬⋾⫶⩼⫲5BE)=NaN","reverse_text":"NaN=(⫶⩼⫲1807⨸⪁⫶⩼⫲7C8)+⇶⊼(⋗⩬⋾⫶⩼⫲5BE)","cot":[{"info":"⫶⩼⫲1807⨸⪁⫶⩼⫲7C8=⫶⩼⫲41B0","layer":1},{"info":"⋗⩬⋾⫶⩼⫲5BE=⫶⩼⫲-125C","layer":1},{"info":"⫶⩼⫲41B0+⇶⊼⫶⩼⫲-125C=NaN","layer":0}]}
{"id":61,"expression_no_base_symbol":"↥($1017$*$3381$)","expression":"↥(⫶⩼⫲47C*⫶⩼⫲1006)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":68438,"operation_count":2,"complexity_ratio":34219.0,"tree":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1017,"base":15},"right_expr":{"type":"numeric_atoms","value":3381,"base":15}}},"used_operators":["A8NUZmVepG","9HNa5Wba9A"],"dependent_operators":["k8jYdgA6NY","W4YGzv6Whe"],"result":"⫶⩼⫲6","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1017","layer":2},{"info":"number node, value=3381","layer":2},{"info":"compute binary expreesion, left_input=1017, right_input=3381, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=3438477","layer":1},{"info":"compute unary expreesion, input=3438477, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=6","layer":0}],"base":15,"result_base":15,"text":"↥(⫶⩼⫲47C*⫶⩼⫲1006)=⫶⩼⫲6","reverse_text":"⫶⩼⫲6=↥(⫶⩼⫲47C*⫶⩼⫲1006)","cot":[{"info":"⫶⩼⫲47C*⫶⩼⫲1006=⫶⩼⫲47DC1C","layer":1},{"info":"↥⫶⩼⫲47DC1C=⫶⩼⫲6","layer":0}]}
{"id":62,"expression_no_base_symbol":"($2811$⋓$1352$)⨟⋌⩍($4189$⫡⨏$1406$)","expression":"(⫶⩼⫲C76⋓⫶⩼⫲602)⨟⋌⩍(⫶⩼⫲1394⫡⨏⫶⩼⫲63B)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":21,"operation_count":3,"complexity_ratio":7.0,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2811,"base":15},"right_expr":{"type":"numeric_atoms","value":1352,"base":15}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":4189,"base":15},"right_expr":{"type":"numeric_atoms","value":1406,"base":15}}},"used_operators":["rGHVDoGpnC","T2fj7uvVaJ","QMFrweE19q"],"dependent_operators":["Tcnh7f0tEr","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=2811","layer":2},{"info":"number node, value=1352","layer":2},{"info":"compute binary expreesion, left_input=2811, right_input=1352, op_id = T2fj7uvVaJ binary_op_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=4189","layer":2},{"info":"number node, value=1406","layer":2},{"info":"compute binary expreesion, left_input=4189, right_input=1406, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=24540","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=24540, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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":15,"result_base":15,"text":"(⫶⩼⫲C76⋓⫶⩼⫲602)⨟⋌⩍(⫶⩼⫲1394⫡⨏⫶⩼⫲63B)=NaN","reverse_text":"NaN=(⫶⩼⫲C76⋓⫶⩼⫲602)⨟⋌⩍(⫶⩼⫲1394⫡⨏⫶⩼⫲63B)","cot":[{"info":"⫶⩼⫲C76⋓⫶⩼⫲602=⫶⩼⫲0","layer":1},{"info":"⫶⩼⫲1394⫡⨏⫶⩼⫲63B=⫶⩼⫲7410","layer":1},{"info":"⫶⩼⫲0⨟⋌⩍⫶⩼⫲7410=NaN","layer":0}]}
{"id":63,"expression_no_base_symbol":"($3865$⨓$1794$)∼$5406$≹⇙⪍$1624$","expression":"(⫶⩼⫲122A⨓⫶⩼⫲7E9)∼⫶⩼⫲1906≹⇙⪍⫶⩼⫲734","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1838,"operation_count":3,"complexity_ratio":612.6666666666666,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":3865,"base":15},"right_expr":{"type":"numeric_atoms","value":1794,"base":15}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":5406,"base":15},"right_expr":{"type":"numeric_atoms","value":1624,"base":15}}},"used_operators":["DyGG3AbaNP","3ViojmjbAp","AHs5Up7iyr"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=3865","layer":2},{"info":"number node, value=1794","layer":2},{"info":"compute binary expreesion, left_input=3865, right_input=1794, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1797","layer":1},{"info":"number node, value=5406","layer":2},{"info":"number node, value=1624","layer":2},{"info":"compute binary expreesion, left_input=5406, right_input=1624, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=-1797, 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":15,"result_base":15,"text":"(⫶⩼⫲122A⨓⫶⩼⫲7E9)∼⫶⩼⫲1906≹⇙⪍⫶⩼⫲734=NaN","reverse_text":"NaN=(⫶⩼⫲122A⨓⫶⩼⫲7E9)∼⫶⩼⫲1906≹⇙⪍⫶⩼⫲734","cot":[{"info":"⫶⩼⫲122A⨓⫶⩼⫲7E9=⫶⩼⫲-7EC","layer":1},{"info":"⫶⩼⫲1906≹⇙⪍⫶⩼⫲734=NaN","layer":1},{"info":"⫶⩼⫲-7EC∼NaN=NaN","layer":0}]}
{"id":64,"expression_no_base_symbol":"(⪝⪂⫅$5722$)≧⫂∧($2901$⊘)","expression":"(⪝⪂⫅⫶⩼⫲1A67)≧⫂∧(⫶⩼⫲CD6⊘)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":170,"operation_count":3,"complexity_ratio":56.666666666666664,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":5722,"base":15}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":2901,"base":15}}},"used_operators":["Ph9nP6C5qx","XTarYq4gQB","gu96TGCTMs"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D"],"result":"⫶⩼⫲-218","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=5722","layer":2},{"info":"compute unary expreesion, input=5722, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-841134","layer":1},{"info":"number node, value=2901","layer":2},{"info":"compute unary expreesion, input=2901, 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=-841134, right_input=0, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-473","layer":0}],"base":15,"result_base":15,"text":"(⪝⪂⫅⫶⩼⫲1A67)≧⫂∧(⫶⩼⫲CD6⊘)=⫶⩼⫲-218","reverse_text":"⫶⩼⫲-218=(⪝⪂⫅⫶⩼⫲1A67)≧⫂∧(⫶⩼⫲CD6⊘)","cot":[{"info":"⪝⪂⫅⫶⩼⫲1A67=⫶⩼⫲-119359","layer":1},{"info":"⫶⩼⫲CD6⊘=⫶⩼⫲0","layer":1},{"info":"⫶⩼⫲-119359≧⫂∧⫶⩼⫲0=⫶⩼⫲-218","layer":0}]}
{"id":65,"expression_no_base_symbol":"$1578$⪢$1489$%$8836$⨸⪁$3309$","expression":"⫶⩼⫲703⪢⫶⩼⫲694%⫶⩼⫲2941⨸⪁⫶⩼⫲EA9","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2010,"operation_count":3,"complexity_ratio":670.0,"tree":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1578,"base":15},"right_expr":{"type":"numeric_atoms","value":1489,"base":15}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":8836,"base":15},"right_expr":{"type":"numeric_atoms","value":3309,"base":15}}},"used_operators":["k8jYdgA6NY","dWAJyo7jo9","g55IO6H4Gj"],"dependent_operators":["rysDP5nf3Z","k8jYdgA6NY","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1578","layer":2},{"info":"number node, value=1489","layer":2},{"info":"compute binary expreesion, left_input=1578, right_input=1489, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=8836","layer":2},{"info":"number node, value=3309","layer":2},{"info":"compute binary expreesion, left_input=8836, right_input=3309, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=24290","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=24290, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲703⪢⫶⩼⫲694%⫶⩼⫲2941⨸⪁⫶⩼⫲EA9=NaN","reverse_text":"NaN=⫶⩼⫲703⪢⫶⩼⫲694%⫶⩼⫲2941⨸⪁⫶⩼⫲EA9","cot":[{"info":"⫶⩼⫲703⪢⫶⩼⫲694=NaN","layer":1},{"info":"⫶⩼⫲2941⨸⪁⫶⩼⫲EA9=⫶⩼⫲72E5","layer":1},{"info":"NaN%⫶⩼⫲72E5=NaN","layer":0}]}
{"id":66,"expression_no_base_symbol":"$5658$↬$2668$⋓($7466$∸)","expression":"⫶⩼⫲1A23↬⫶⩼⫲BCD⋓(⫶⩼⫲232B∸)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":191,"operation_count":3,"complexity_ratio":63.666666666666664,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":5658,"base":15},"right_expr":{"type":"numeric_atoms","value":2668,"base":15}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":7466,"base":15}}},"used_operators":["T2fj7uvVaJ","B5M0gjZbta","o20kRiQErp"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rGHVDoGpnC","tmPS8pqC7x"],"result":"⫶⩼⫲0","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=5658","layer":2},{"info":"number node, value=2668","layer":2},{"info":"compute binary expreesion, left_input=5658, right_input=2668, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=7466","layer":2},{"info":"compute unary expreesion, input=7466, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=177, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲1A23↬⫶⩼⫲BCD⋓(⫶⩼⫲232B∸)=⫶⩼⫲0","reverse_text":"⫶⩼⫲0=⫶⩼⫲1A23↬⫶⩼⫲BCD⋓(⫶⩼⫲232B∸)","cot":[{"info":"⫶⩼⫲1A23↬⫶⩼⫲BCD=NaN","layer":1},{"info":"⫶⩼⫲232B∸=⫶⩼⫲BC","layer":1},{"info":"NaN⋓⫶⩼⫲BC=⫶⩼⫲0","layer":0}]}
{"id":67,"expression_no_base_symbol":"($4780$+$2177$)≭(⨈⫕$2815$)","expression":"(⫶⩼⫲163A+⫶⩼⫲9A2)≭(⨈⫕⫶⩼⫲C7A)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5670,"operation_count":3,"complexity_ratio":1890.0,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":4780,"base":15},"right_expr":{"type":"numeric_atoms","value":2177,"base":15}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":2815,"base":15}}},"used_operators":["rxpJgHHUmx","W4YGzv6Whe","megm06wKyl"],"dependent_operators":["AHs5Up7iyr","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=4780","layer":2},{"info":"number node, value=2177","layer":2},{"info":"compute binary expreesion, left_input=4780, right_input=2177, op_id = W4YGzv6Whe binary_op_definition= 'None', output=6957","layer":1},{"info":"number node, value=2815","layer":2},{"info":"compute unary expreesion, input=2815, 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=6957, 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":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲163A+⫶⩼⫲9A2)≭(⨈⫕⫶⩼⫲C7A)=NaN","reverse_text":"NaN=(⫶⩼⫲163A+⫶⩼⫲9A2)≭(⨈⫕⫶⩼⫲C7A)","cot":[{"info":"⫶⩼⫲163A+⫶⩼⫲9A2=⫶⩼⫲20DC","layer":1},{"info":"⨈⫕⫶⩼⫲C7A=⫶⩼⫲-16","layer":1},{"info":"⫶⩼⫲20DC≭⫶⩼⫲-16=NaN","layer":0}]}
{"id":68,"expression_no_base_symbol":"($2339$⋫)⪨≂$1467$⪛$1444$","expression":"(⫶⩼⫲A5E⋫)⪨≂⫶⩼⫲67C⪛⫶⩼⫲664","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2348,"operation_count":3,"complexity_ratio":782.6666666666666,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":2339,"base":15}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1467,"base":15},"right_expr":{"type":"numeric_atoms","value":1444,"base":15}}},"used_operators":["sdazOOVcIp","JL8yIekQnl","uFcxV4UQCh"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"⫶⩼⫲1609","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2339","layer":2},{"info":"compute unary expreesion, input=2339, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=2339","layer":1},{"info":"number node, value=1467","layer":2},{"info":"number node, value=1444","layer":2},{"info":"compute binary expreesion, left_input=1467, right_input=1444, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=23","layer":1},{"info":"compute binary expreesion, left_input=2339, right_input=23, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=4734","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲A5E⋫)⪨≂⫶⩼⫲67C⪛⫶⩼⫲664=⫶⩼⫲1609","reverse_text":"⫶⩼⫲1609=(⫶⩼⫲A5E⋫)⪨≂⫶⩼⫲67C⪛⫶⩼⫲664","cot":[{"info":"⫶⩼⫲A5E⋫=⫶⩼⫲A5E","layer":1},{"info":"⫶⩼⫲67C⪛⫶⩼⫲664=⫶⩼⫲18","layer":1},{"info":"⫶⩼⫲A5E⪨≂⫶⩼⫲18=⫶⩼⫲1609","layer":0}]}
{"id":69,"expression_no_base_symbol":"-$1040$⨸⪁$1757$","expression":"-⫶⩼⫲495⨸⪁⫶⩼⫲7C2","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4,"operation_count":2,"complexity_ratio":2.0,"tree":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1040,"base":15},"right_expr":{"type":"numeric_atoms","value":1757,"base":15}}},"used_operators":["t8gj7n24qd","g55IO6H4Gj"],"dependent_operators":["W4YGzv6Whe"],"result":"⫶⩼⫲-19CE","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1040","layer":2},{"info":"number node, value=1757","layer":2},{"info":"compute binary expreesion, left_input=1040, right_input=1757, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=5594","layer":1},{"info":"compute unary expreesion, input=5594, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-5594","layer":0}],"base":15,"result_base":15,"text":"-⫶⩼⫲495⨸⪁⫶⩼⫲7C2=⫶⩼⫲-19CE","reverse_text":"⫶⩼⫲-19CE=-⫶⩼⫲495⨸⪁⫶⩼⫲7C2","cot":[{"info":"⫶⩼⫲495⨸⪁⫶⩼⫲7C2=⫶⩼⫲19CE","layer":1},{"info":"-⫶⩼⫲19CE=⫶⩼⫲-19CE","layer":0}]}
{"id":70,"expression_no_base_symbol":"$1748$⋓$1274$⨁⊸⫻","expression":"⫶⩼⫲7B8⋓⫶⩼⫲59E⨁⊸⫻","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":16,"operation_count":2,"complexity_ratio":8.0,"tree":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1748,"base":15},"right_expr":{"type":"numeric_atoms","value":1274,"base":15}}},"used_operators":["glklzrTFfD","T2fj7uvVaJ"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"⫶⩼⫲0","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1748","layer":2},{"info":"number node, value=1274","layer":2},{"info":"compute binary expreesion, left_input=1748, right_input=1274, op_id = T2fj7uvVaJ binary_op_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 = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=0","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲7B8⋓⫶⩼⫲59E⨁⊸⫻=⫶⩼⫲0","reverse_text":"⫶⩼⫲0=⫶⩼⫲7B8⋓⫶⩼⫲59E⨁⊸⫻","cot":[{"info":"⫶⩼⫲7B8⋓⫶⩼⫲59E=⫶⩼⫲0","layer":1},{"info":"⫶⩼⫲0⨁⊸⫻=⫶⩼⫲0","layer":0}]}
{"id":71,"expression_no_base_symbol":"(↩$2560$)*($2137$⪒$1040$)","expression":"(↩⫶⩼⫲B5A)*(⫶⩼⫲977⪒⫶⩼⫲495)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3196,"operation_count":3,"complexity_ratio":1065.3333333333333,"tree":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":2560,"base":15}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2137,"base":15},"right_expr":{"type":"numeric_atoms","value":1040,"base":15}}},"used_operators":["9HNa5Wba9A","jLgFTUHLKL","f6k1SAg4EE"],"dependent_operators":["W4YGzv6Whe","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd"],"result":"⫶⩼⫲4E0B900","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2560","layer":2},{"info":"compute unary expreesion, input=2560, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-17700","layer":1},{"info":"number node, value=2137","layer":2},{"info":"number node, value=1040","layer":2},{"info":"compute binary expreesion, left_input=2137, right_input=1040, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-3177","layer":1},{"info":"compute binary expreesion, left_input=-17700, right_input=-3177, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=56232900","layer":0}],"base":15,"result_base":15,"text":"(↩⫶⩼⫲B5A)*(⫶⩼⫲977⪒⫶⩼⫲495)=⫶⩼⫲4E0B900","reverse_text":"⫶⩼⫲4E0B900=(↩⫶⩼⫲B5A)*(⫶⩼⫲977⪒⫶⩼⫲495)","cot":[{"info":"↩⫶⩼⫲B5A=⫶⩼⫲-53A0","layer":1},{"info":"⫶⩼⫲977⪒⫶⩼⫲495=⫶⩼⫲-E1C","layer":1},{"info":"⫶⩼⫲-53A0*⫶⩼⫲-E1C=⫶⩼⫲4E0B900","layer":0}]}
{"id":72,"expression_no_base_symbol":"($6468$/$1327$)⫥∨⫟$2123$∀⇚≩$1928$","expression":"(⫶⩼⫲1DB3/⫶⩼⫲5D7)⫥∨⫟⫶⩼⫲968∀⇚≩⫶⩼⫲888","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":15019,"operation_count":3,"complexity_ratio":5006.333333333333,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":6468,"base":15},"right_expr":{"type":"numeric_atoms","value":1327,"base":15}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2123,"base":15},"right_expr":{"type":"numeric_atoms","value":1928,"base":15}}},"used_operators":["KYD54nUTWz","XhwjNDsVaA","LRNGc0VcxI"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=6468","layer":2},{"info":"number node, value=1327","layer":2},{"info":"compute binary expreesion, left_input=6468, right_input=1327, op_id = XhwjNDsVaA binary_op_definition= 'None', output=4","layer":1},{"info":"number node, value=2123","layer":2},{"info":"number node, value=1928","layer":2},{"info":"compute binary expreesion, left_input=2123, right_input=1928, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=4, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲1DB3/⫶⩼⫲5D7)⫥∨⫟⫶⩼⫲968∀⇚≩⫶⩼⫲888=NaN","reverse_text":"NaN=(⫶⩼⫲1DB3/⫶⩼⫲5D7)⫥∨⫟⫶⩼⫲968∀⇚≩⫶⩼⫲888","cot":[{"info":"⫶⩼⫲1DB3/⫶⩼⫲5D7=⫶⩼⫲4","layer":1},{"info":"⫶⩼⫲968∀⇚≩⫶⩼⫲888=NaN","layer":1},{"info":"⫶⩼⫲4⫥∨⫟NaN=NaN","layer":0}]}
{"id":73,"expression_no_base_symbol":"$1109$↬$3729$⩷∴$4330$⊴$1421$","expression":"⫶⩼⫲4DE↬⫶⩼⫲1189⩷∴⫶⩼⫲143A⊴⫶⩼⫲64B","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4846,"operation_count":3,"complexity_ratio":1615.3333333333333,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1109,"base":15},"right_expr":{"type":"numeric_atoms","value":3729,"base":15}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":4330,"base":15},"right_expr":{"type":"numeric_atoms","value":1421,"base":15}}},"used_operators":["9FxExcQeMw","B5M0gjZbta","Nsiff2A1zJ"],"dependent_operators":["rysDP5nf3Z","rGHVDoGpnC","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1109","layer":2},{"info":"number node, value=3729","layer":2},{"info":"compute binary expreesion, left_input=1109, right_input=3729, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=4330","layer":2},{"info":"number node, value=1421","layer":2},{"info":"compute binary expreesion, left_input=4330, right_input=1421, 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 = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲4DE↬⫶⩼⫲1189⩷∴⫶⩼⫲143A⊴⫶⩼⫲64B=NaN","reverse_text":"NaN=⫶⩼⫲4DE↬⫶⩼⫲1189⩷∴⫶⩼⫲143A⊴⫶⩼⫲64B","cot":[{"info":"⫶⩼⫲4DE↬⫶⩼⫲1189=NaN","layer":1},{"info":"⫶⩼⫲143A⊴⫶⩼⫲64B=NaN","layer":1},{"info":"NaN⩷∴NaN=NaN","layer":0}]}
{"id":74,"expression_no_base_symbol":"($1850$⫸⊐$1767$)⨰($1393$⪄$2100$)","expression":"(⫶⩼⫲835⫸⊐⫶⩼⫲7CC)⨰(⫶⩼⫲62D⪄⫶⩼⫲950)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":125,"operation_count":3,"complexity_ratio":41.666666666666664,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1850,"base":15},"right_expr":{"type":"numeric_atoms","value":1767,"base":15}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1393,"base":15},"right_expr":{"type":"numeric_atoms","value":2100,"base":15}}},"used_operators":["eewbuw0ToL","mqXw5SEYmG","SUmda5xLS4"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"⫶⩼⫲44721","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1850","layer":2},{"info":"number node, value=1767","layer":2},{"info":"compute binary expreesion, left_input=1850, right_input=1767, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=6943","layer":1},{"info":"number node, value=1393","layer":2},{"info":"number node, value=2100","layer":2},{"info":"compute binary expreesion, left_input=1393, right_input=2100, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-210653","layer":1},{"info":"compute binary expreesion, left_input=6943, right_input=-210653, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=217606","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲835⫸⊐⫶⩼⫲7CC)⨰(⫶⩼⫲62D⪄⫶⩼⫲950)=⫶⩼⫲44721","reverse_text":"⫶⩼⫲44721=(⫶⩼⫲835⫸⊐⫶⩼⫲7CC)⨰(⫶⩼⫲62D⪄⫶⩼⫲950)","cot":[{"info":"⫶⩼⫲835⫸⊐⫶⩼⫲7CC=⫶⩼⫲20CD","layer":1},{"info":"⫶⩼⫲62D⪄⫶⩼⫲950=⫶⩼⫲-42638","layer":1},{"info":"⫶⩼⫲20CD⨰⫶⩼⫲-42638=⫶⩼⫲44721","layer":0}]}
{"id":75,"expression_no_base_symbol":"$1031$⨐⩸⫘$1090$⩨($5472$⇋≉)","expression":"⫶⩼⫲48B⨐⩸⫘⫶⩼⫲4CA⩨(⫶⩼⫲194C⇋≉)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":8,"operation_count":3,"complexity_ratio":2.6666666666666665,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1031,"base":15},"right_expr":{"type":"numeric_atoms","value":1090,"base":15}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":5472,"base":15}}},"used_operators":["2DlMacCsIx","fu6greOZ01","XIabStNQrY"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1031","layer":2},{"info":"number node, value=1090","layer":2},{"info":"compute binary expreesion, left_input=1031, right_input=1090, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=5472","layer":2},{"info":"compute unary expreesion, input=5472, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=10846","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=10846, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲48B⨐⩸⫘⫶⩼⫲4CA⩨(⫶⩼⫲194C⇋≉)=NaN","reverse_text":"NaN=⫶⩼⫲48B⨐⩸⫘⫶⩼⫲4CA⩨(⫶⩼⫲194C⇋≉)","cot":[{"info":"⫶⩼⫲48B⨐⩸⫘⫶⩼⫲4CA=NaN","layer":1},{"info":"⫶⩼⫲194C⇋≉=⫶⩼⫲3331","layer":1},{"info":"NaN⩨⫶⩼⫲3331=NaN","layer":0}]}
{"id":76,"expression_no_base_symbol":"(⊄⩳↩$8067$)⩷∴($5339$+⇶⊼$1689$)","expression":"(⊄⩳↩⫶⩼⫲25CC)⩷∴(⫶⩼⫲18AE+⇶⊼⫶⩼⫲779)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":10,"operation_count":3,"complexity_ratio":3.3333333333333335,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":8067,"base":15}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":5339,"base":15},"right_expr":{"type":"numeric_atoms","value":1689,"base":15}}},"used_operators":["9FxExcQeMw","8w2t5hMYqp","TpPTUOHfaN"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=8067","layer":2},{"info":"compute unary expreesion, input=8067, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-24201","layer":1},{"info":"number node, value=5339","layer":2},{"info":"number node, value=1689","layer":2},{"info":"compute binary expreesion, left_input=5339, right_input=1689, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=-24201, right_input=nan, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"(⊄⩳↩⫶⩼⫲25CC)⩷∴(⫶⩼⫲18AE+⇶⊼⫶⩼⫲779)=NaN","reverse_text":"NaN=(⊄⩳↩⫶⩼⫲25CC)⩷∴(⫶⩼⫲18AE+⇶⊼⫶⩼⫲779)","cot":[{"info":"⊄⩳↩⫶⩼⫲25CC=⫶⩼⫲-7286","layer":1},{"info":"⫶⩼⫲18AE+⇶⊼⫶⩼⫲779=NaN","layer":1},{"info":"⫶⩼⫲-7286⩷∴NaN=NaN","layer":0}]}
{"id":77,"expression_no_base_symbol":"($4742$⨸⪁$8295$)⪛($2363$≣⋋)","expression":"(⫶⩼⫲1612⨸⪁⫶⩼⫲26D0)⪛(⫶⩼⫲A78≣⋋)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":521,"operation_count":3,"complexity_ratio":173.66666666666666,"tree":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":4742,"base":15},"right_expr":{"type":"numeric_atoms","value":8295,"base":15}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":2363,"base":15}}},"used_operators":["uFcxV4UQCh","g55IO6H4Gj","Tcnh7f0tEr"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=4742","layer":2},{"info":"number node, value=8295","layer":2},{"info":"compute binary expreesion, left_input=4742, right_input=8295, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=26074","layer":1},{"info":"number node, value=2363","layer":2},{"info":"compute unary expreesion, input=2363, 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=26074, right_input=0, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲1612⨸⪁⫶⩼⫲26D0)⪛(⫶⩼⫲A78≣⋋)=NaN","reverse_text":"NaN=(⫶⩼⫲1612⨸⪁⫶⩼⫲26D0)⪛(⫶⩼⫲A78≣⋋)","cot":[{"info":"⫶⩼⫲1612⨸⪁⫶⩼⫲26D0=⫶⩼⫲7AD4","layer":1},{"info":"⫶⩼⫲A78≣⋋=⫶⩼⫲0","layer":1},{"info":"⫶⩼⫲7AD4⪛⫶⩼⫲0=NaN","layer":0}]}
{"id":78,"expression_no_base_symbol":"$2227$⪢$4244$⋫","expression":"⫶⩼⫲9D7⪢⫶⩼⫲13CE⋫","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4245,"operation_count":2,"complexity_ratio":2122.5,"tree":{"type":"unary","operator":"⋫","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2227,"base":15},"right_expr":{"type":"numeric_atoms","value":4244,"base":15}}},"used_operators":["JL8yIekQnl","dWAJyo7jo9"],"dependent_operators":["tmPS8pqC7x","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=2227","layer":2},{"info":"number node, value=4244","layer":2},{"info":"compute binary expreesion, left_input=2227, right_input=4244, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲9D7⪢⫶⩼⫲13CE⋫=NaN","reverse_text":"NaN=⫶⩼⫲9D7⪢⫶⩼⫲13CE⋫","cot":[{"info":"⫶⩼⫲9D7⪢⫶⩼⫲13CE=NaN","layer":1},{"info":"NaN⋫=NaN","layer":0}]}
{"id":79,"expression_no_base_symbol":"$1866$↬$2289$⪒$1694$⨎$4570$","expression":"⫶⩼⫲846↬⫶⩼⫲A29⪒⫶⩼⫲77E⨎⫶⩼⫲154A","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5,"operation_count":3,"complexity_ratio":1.6666666666666667,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1866,"base":15},"right_expr":{"type":"numeric_atoms","value":2289,"base":15}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1694,"base":15},"right_expr":{"type":"numeric_atoms","value":4570,"base":15}}},"used_operators":["f6k1SAg4EE","B5M0gjZbta","rJVOvQCfKK"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1866","layer":2},{"info":"number node, value=2289","layer":2},{"info":"compute binary expreesion, left_input=1866, right_input=2289, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=1694","layer":2},{"info":"number node, value=4570","layer":2},{"info":"compute binary expreesion, left_input=1694, right_input=4570, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=4570","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=4570, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲846↬⫶⩼⫲A29⪒⫶⩼⫲77E⨎⫶⩼⫲154A=NaN","reverse_text":"NaN=⫶⩼⫲846↬⫶⩼⫲A29⪒⫶⩼⫲77E⨎⫶⩼⫲154A","cot":[{"info":"⫶⩼⫲846↬⫶⩼⫲A29=NaN","layer":1},{"info":"⫶⩼⫲77E⨎⫶⩼⫲154A=⫶⩼⫲154A","layer":1},{"info":"NaN⪒⫶⩼⫲154A=NaN","layer":0}]}
{"id":80,"expression_no_base_symbol":"($2980$⨐⩸⫘$1140$)≎⊠⪸(-$1104$)","expression":"(⫶⩼⫲D3A⨐⩸⫘⫶⩼⫲510)≎⊠⪸(-⫶⩼⫲4D9)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":13,"operation_count":3,"complexity_ratio":4.333333333333333,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2980,"base":15},"right_expr":{"type":"numeric_atoms","value":1140,"base":15}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1104,"base":15}}},"used_operators":["bJkvcejdHO","fu6greOZ01","t8gj7n24qd"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","3ViojmjbAp"],"result":"⫶⩼⫲47","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2980","layer":2},{"info":"number node, value=1140","layer":2},{"info":"compute binary expreesion, left_input=2980, 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":1},{"info":"number node, value=1104","layer":2},{"info":"compute unary expreesion, input=1104, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1104","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-1104, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲D3A⨐⩸⫘⫶⩼⫲510)≎⊠⪸(-⫶⩼⫲4D9)=⫶⩼⫲47","reverse_text":"⫶⩼⫲47=(⫶⩼⫲D3A⨐⩸⫘⫶⩼⫲510)≎⊠⪸(-⫶⩼⫲4D9)","cot":[{"info":"⫶⩼⫲D3A⨐⩸⫘⫶⩼⫲510=NaN","layer":1},{"info":"-⫶⩼⫲4D9=⫶⩼⫲-4D9","layer":1},{"info":"NaN≎⊠⪸⫶⩼⫲-4D9=⫶⩼⫲47","layer":0}]}
{"id":81,"expression_no_base_symbol":"(∂$1101$)≹⇙⪍($7286$≧⫂∧$6085$)","expression":"(∂⫶⩼⫲4D6)≹⇙⪍(⫶⩼⫲225B≧⫂∧⫶⩼⫲1C0A)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3,"operation_count":3,"complexity_ratio":1.0,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":1101,"base":15}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":7286,"base":15},"right_expr":{"type":"numeric_atoms","value":6085,"base":15}}},"used_operators":["AHs5Up7iyr","Uaa54Peajs","Ph9nP6C5qx"],"dependent_operators":["dWAJyo7jo9","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1101","layer":2},{"info":"compute unary expreesion, input=1101, 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=7286","layer":2},{"info":"number node, value=6085","layer":2},{"info":"compute binary expreesion, left_input=7286, right_input=6085, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=5612","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=5612, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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":15,"result_base":15,"text":"(∂⫶⩼⫲4D6)≹⇙⪍(⫶⩼⫲225B≧⫂∧⫶⩼⫲1C0A)=NaN","reverse_text":"NaN=(∂⫶⩼⫲4D6)≹⇙⪍(⫶⩼⫲225B≧⫂∧⫶⩼⫲1C0A)","cot":[{"info":"∂⫶⩼⫲4D6=NaN","layer":1},{"info":"⫶⩼⫲225B≧⫂∧⫶⩼⫲1C0A=⫶⩼⫲19E2","layer":1},{"info":"NaN≹⇙⪍⫶⩼⫲19E2=NaN","layer":0}]}
{"id":82,"expression_no_base_symbol":"($1013$⨵⪆$1870$)⫸⊐$1621$⪮%⊝$1706$","expression":"(⫶⩼⫲478⨵⪆⫶⩼⫲84A)⫸⊐⫶⩼⫲731⪮%⊝⫶⩼⫲78B","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":14,"operation_count":3,"complexity_ratio":4.666666666666667,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1013,"base":15},"right_expr":{"type":"numeric_atoms","value":1870,"base":15}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1621,"base":15},"right_expr":{"type":"numeric_atoms","value":1706,"base":15}}},"used_operators":["mqXw5SEYmG","2DQ55sFlQl","IWmyXbctLI"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"⫶⩼⫲165","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1013","layer":2},{"info":"number node, value=1870","layer":2},{"info":"compute binary expreesion, left_input=1013, right_input=1870, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=1621","layer":2},{"info":"number node, value=1706","layer":2},{"info":"compute binary expreesion, left_input=1621, right_input=1706, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3558","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=3558, 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":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲478⨵⪆⫶⩼⫲84A)⫸⊐⫶⩼⫲731⪮%⊝⫶⩼⫲78B=⫶⩼⫲165","reverse_text":"⫶⩼⫲165=(⫶⩼⫲478⨵⪆⫶⩼⫲84A)⫸⊐⫶⩼⫲731⪮%⊝⫶⩼⫲78B","cot":[{"info":"⫶⩼⫲478⨵⪆⫶⩼⫲84A=⫶⩼⫲AA","layer":1},{"info":"⫶⩼⫲731⪮%⊝⫶⩼⫲78B=⫶⩼⫲10C3","layer":1},{"info":"⫶⩼⫲AA⫸⊐⫶⩼⫲10C3=⫶⩼⫲165","layer":0}]}
{"id":83,"expression_no_base_symbol":"($1112$⪄$4940$)⨓($1286$≭$4329$)","expression":"(⫶⩼⫲4E2⪄⫶⩼⫲16E5)⨓(⫶⩼⫲5AB≭⫶⩼⫲1439)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":103,"operation_count":3,"complexity_ratio":34.333333333333336,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1112,"base":15},"right_expr":{"type":"numeric_atoms","value":4940,"base":15}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1286,"base":15},"right_expr":{"type":"numeric_atoms","value":4329,"base":15}}},"used_operators":["3ViojmjbAp","SUmda5xLS4","rxpJgHHUmx"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1112","layer":2},{"info":"number node, value=4940","layer":2},{"info":"compute binary expreesion, left_input=1112, right_input=4940, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-180425","layer":1},{"info":"number node, value=1286","layer":2},{"info":"number node, value=4329","layer":2},{"info":"compute binary expreesion, left_input=1286, right_input=4329, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=-180425, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲4E2⪄⫶⩼⫲16E5)⨓(⫶⩼⫲5AB≭⫶⩼⫲1439)=NaN","reverse_text":"NaN=(⫶⩼⫲4E2⪄⫶⩼⫲16E5)⨓(⫶⩼⫲5AB≭⫶⩼⫲1439)","cot":[{"info":"⫶⩼⫲4E2⪄⫶⩼⫲16E5=⫶⩼⫲-386D5","layer":1},{"info":"⫶⩼⫲5AB≭⫶⩼⫲1439=NaN","layer":1},{"info":"⫶⩼⫲-386D5⨓NaN=NaN","layer":0}]}
{"id":84,"expression_no_base_symbol":"($2750$⋷$1628$)⨰$4637$⪛$2186$","expression":"(⫶⩼⫲C35⋷⫶⩼⫲738)⨰⫶⩼⫲1592⪛⫶⩼⫲9AB","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":14,"operation_count":3,"complexity_ratio":4.666666666666667,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":2750,"base":15},"right_expr":{"type":"numeric_atoms","value":1628,"base":15}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":4637,"base":15},"right_expr":{"type":"numeric_atoms","value":2186,"base":15}}},"used_operators":["eewbuw0ToL","23Mk6UjR3U","uFcxV4UQCh"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"⫶⩼⫲11B","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=2750","layer":2},{"info":"number node, value=1628","layer":2},{"info":"compute binary expreesion, left_input=2750, right_input=1628, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=506","layer":1},{"info":"number node, value=4637","layer":2},{"info":"number node, value=2186","layer":2},{"info":"compute binary expreesion, left_input=4637, right_input=2186, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=265","layer":1},{"info":"compute binary expreesion, left_input=506, right_input=265, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=251","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲C35⋷⫶⩼⫲738)⨰⫶⩼⫲1592⪛⫶⩼⫲9AB=⫶⩼⫲11B","reverse_text":"⫶⩼⫲11B=(⫶⩼⫲C35⋷⫶⩼⫲738)⨰⫶⩼⫲1592⪛⫶⩼⫲9AB","cot":[{"info":"⫶⩼⫲C35⋷⫶⩼⫲738=⫶⩼⫲23B","layer":1},{"info":"⫶⩼⫲1592⪛⫶⩼⫲9AB=⫶⩼⫲12A","layer":1},{"info":"⫶⩼⫲23B⨰⫶⩼⫲12A=⫶⩼⫲11B","layer":0}]}
{"id":85,"expression_no_base_symbol":"(⇁⨣⪵$2851$)≎⊠⪸$2018$∼$2993$","expression":"(⇁⨣⪵⫶⩼⫲CA1)≎⊠⪸⫶⩼⫲8E8∼⫶⩼⫲D48","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":53,"operation_count":3,"complexity_ratio":17.666666666666668,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":2851,"base":15}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2018,"base":15},"right_expr":{"type":"numeric_atoms","value":2993,"base":15}}},"used_operators":["bJkvcejdHO","inkyxCbjAn","DyGG3AbaNP"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","B5M0gjZbta","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"⫶⩼⫲47","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=2851","layer":2},{"info":"compute unary expreesion, input=2851, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":1},{"info":"number node, value=2018","layer":2},{"info":"number node, value=2993","layer":2},{"info":"compute binary expreesion, left_input=2018, 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":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":15,"result_base":15,"text":"(⇁⨣⪵⫶⩼⫲CA1)≎⊠⪸⫶⩼⫲8E8∼⫶⩼⫲D48=⫶⩼⫲47","reverse_text":"⫶⩼⫲47=(⇁⨣⪵⫶⩼⫲CA1)≎⊠⪸⫶⩼⫲8E8∼⫶⩼⫲D48","cot":[{"info":"⇁⨣⪵⫶⩼⫲CA1=NaN","layer":1},{"info":"⫶⩼⫲8E8∼⫶⩼⫲D48=NaN","layer":1},{"info":"NaN≎⊠⪸NaN=⫶⩼⫲47","layer":0}]}
{"id":86,"expression_no_base_symbol":"$2519$⪛$2454$⩷∴($5052$+$2191$)","expression":"⫶⩼⫲B2E⪛⫶⩼⫲AD9⩷∴(⫶⩼⫲176C+⫶⩼⫲9B1)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":11,"operation_count":3,"complexity_ratio":3.6666666666666665,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2519,"base":15},"right_expr":{"type":"numeric_atoms","value":2454,"base":15}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":5052,"base":15},"right_expr":{"type":"numeric_atoms","value":2191,"base":15}}},"used_operators":["9FxExcQeMw","uFcxV4UQCh","W4YGzv6Whe"],"dependent_operators":["rysDP5nf3Z","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"⫶⩼⫲-43E3","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2519","layer":2},{"info":"number node, value=2454","layer":2},{"info":"compute binary expreesion, left_input=2519, right_input=2454, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=65","layer":1},{"info":"number node, value=5052","layer":2},{"info":"number node, value=2191","layer":2},{"info":"compute binary expreesion, left_input=5052, right_input=2191, op_id = W4YGzv6Whe binary_op_definition= 'None', output=7243","layer":1},{"info":"compute binary expreesion, left_input=65, right_input=7243, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-14388","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲B2E⪛⫶⩼⫲AD9⩷∴(⫶⩼⫲176C+⫶⩼⫲9B1)=⫶⩼⫲-43E3","reverse_text":"⫶⩼⫲-43E3=⫶⩼⫲B2E⪛⫶⩼⫲AD9⩷∴(⫶⩼⫲176C+⫶⩼⫲9B1)","cot":[{"info":"⫶⩼⫲B2E⪛⫶⩼⫲AD9=⫶⩼⫲45","layer":1},{"info":"⫶⩼⫲176C+⫶⩼⫲9B1=⫶⩼⫲222D","layer":1},{"info":"⫶⩼⫲45⩷∴⫶⩼⫲222D=⫶⩼⫲-43E3","layer":0}]}
{"id":87,"expression_no_base_symbol":"($1930$⩨$1005$)⨪↰⇹($6482$⨎$1334$)","expression":"(⫶⩼⫲88A⩨⫶⩼⫲470)⨪↰⇹(⫶⩼⫲1DC2⨎⫶⩼⫲5DE)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6,"operation_count":3,"complexity_ratio":2.0,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1930,"base":15},"right_expr":{"type":"numeric_atoms","value":1005,"base":15}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":6482,"base":15},"right_expr":{"type":"numeric_atoms","value":1334,"base":15}}},"used_operators":["tmPS8pqC7x","2DlMacCsIx","rJVOvQCfKK"],"dependent_operators":["rJVOvQCfKK","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"⫶⩼⫲0","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1930","layer":2},{"info":"number node, value=1005","layer":2},{"info":"compute binary expreesion, left_input=1930, right_input=1005, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":1},{"info":"number node, value=6482","layer":2},{"info":"number node, value=1334","layer":2},{"info":"compute binary expreesion, left_input=6482, right_input=1334, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1334","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=1334, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=0","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲88A⩨⫶⩼⫲470)⨪↰⇹(⫶⩼⫲1DC2⨎⫶⩼⫲5DE)=⫶⩼⫲0","reverse_text":"⫶⩼⫲0=(⫶⩼⫲88A⩨⫶⩼⫲470)⨪↰⇹(⫶⩼⫲1DC2⨎⫶⩼⫲5DE)","cot":[{"info":"⫶⩼⫲88A⩨⫶⩼⫲470=⫶⩼⫲0","layer":1},{"info":"⫶⩼⫲1DC2⨎⫶⩼⫲5DE=⫶⩼⫲5DE","layer":1},{"info":"⫶⩼⫲0⨪↰⇹⫶⩼⫲5DE=⫶⩼⫲0","layer":0}]}
{"id":88,"expression_no_base_symbol":"(⨵≀≌$3466$)-(⨞⊢$4414$)","expression":"(⨵≀≌⫶⩼⫲1061)-(⨞⊢⫶⩼⫲1494)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6,"operation_count":3,"complexity_ratio":2.0,"tree":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":3466,"base":15}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":4414,"base":15}}},"used_operators":["rysDP5nf3Z","srAu1WTS94","xUOZtlo3hN"],"dependent_operators":["glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd"],"result":"⫶⩼⫲-1AC5","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=3466","layer":2},{"info":"compute unary expreesion, input=3466, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-10398","layer":1},{"info":"number node, value=4414","layer":2},{"info":"compute unary expreesion, input=4414, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-4588","layer":1},{"info":"compute binary expreesion, left_input=-10398, right_input=-4588, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-5810","layer":0}],"base":15,"result_base":15,"text":"(⨵≀≌⫶⩼⫲1061)-(⨞⊢⫶⩼⫲1494)=⫶⩼⫲-1AC5","reverse_text":"⫶⩼⫲-1AC5=(⨵≀≌⫶⩼⫲1061)-(⨞⊢⫶⩼⫲1494)","cot":[{"info":"⨵≀≌⫶⩼⫲1061=⫶⩼⫲-3133","layer":1},{"info":"⨞⊢⫶⩼⫲1494=⫶⩼⫲-155D","layer":1},{"info":"⫶⩼⫲-3133-⫶⩼⫲-155D=⫶⩼⫲-1AC5","layer":0}]}
{"id":89,"expression_no_base_symbol":"(-$2361$)∀⇚≩($5121$⨐⩸⫘$1307$)","expression":"(-⫶⩼⫲A76)∀⇚≩(⫶⩼⫲17B6⨐⩸⫘⫶⩼⫲5C2)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":16529,"operation_count":3,"complexity_ratio":5509.666666666667,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":2361,"base":15}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":5121,"base":15},"right_expr":{"type":"numeric_atoms","value":1307,"base":15}}},"used_operators":["LRNGc0VcxI","t8gj7n24qd","fu6greOZ01"],"dependent_operators":["X99M06cbEe","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2361","layer":2},{"info":"compute unary expreesion, input=2361, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-2361","layer":1},{"info":"number node, value=5121","layer":2},{"info":"number node, value=1307","layer":2},{"info":"compute binary expreesion, left_input=5121, right_input=1307, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=-2361, 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":15,"result_base":15,"text":"(-⫶⩼⫲A76)∀⇚≩(⫶⩼⫲17B6⨐⩸⫘⫶⩼⫲5C2)=NaN","reverse_text":"NaN=(-⫶⩼⫲A76)∀⇚≩(⫶⩼⫲17B6⨐⩸⫘⫶⩼⫲5C2)","cot":[{"info":"-⫶⩼⫲A76=⫶⩼⫲-A76","layer":1},{"info":"⫶⩼⫲17B6⨐⩸⫘⫶⩼⫲5C2=NaN","layer":1},{"info":"⫶⩼⫲-A76∀⇚≩NaN=NaN","layer":0}]}
{"id":90,"expression_no_base_symbol":"⨈⫕$3559$⪄$3829$","expression":"⨈⫕⫶⩼⫲10C4⪄⫶⩼⫲1204","highest_n_order":5,"priority_hierarchical_complexity":1,"normalized_expansion_degree":481,"operation_count":2,"complexity_ratio":240.5,"tree":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":3559,"base":15},"right_expr":{"type":"numeric_atoms","value":3829,"base":15}}},"used_operators":["megm06wKyl","SUmda5xLS4"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"⫶⩼⫲-16","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=3559","layer":2},{"info":"number node, value=3829","layer":2},{"info":"compute binary expreesion, left_input=3559, right_input=3829, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-538137","layer":1},{"info":"compute unary expreesion, input=-538137, 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":15,"result_base":15,"text":"⨈⫕⫶⩼⫲10C4⪄⫶⩼⫲1204=⫶⩼⫲-16","reverse_text":"⫶⩼⫲-16=⨈⫕⫶⩼⫲10C4⪄⫶⩼⫲1204","cot":[{"info":"⫶⩼⫲10C4⪄⫶⩼⫲1204=⫶⩼⫲-A96AC","layer":1},{"info":"⨈⫕⫶⩼⫲-A96AC=⫶⩼⫲-16","layer":0}]}
{"id":91,"expression_no_base_symbol":"↣≠⋷($2724$+⇶⊼$2515$)","expression":"↣≠⋷(⫶⩼⫲C19+⇶⊼⫶⩼⫲B2A)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4,"operation_count":2,"complexity_ratio":2.0,"tree":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2724,"base":15},"right_expr":{"type":"numeric_atoms","value":2515,"base":15}}},"used_operators":["Asc51vEJeQ","TpPTUOHfaN"],"dependent_operators":["XhwjNDsVaA","AHs5Up7iyr","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=2724","layer":2},{"info":"number node, value=2515","layer":2},{"info":"compute binary expreesion, left_input=2724, right_input=2515, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"↣≠⋷(⫶⩼⫲C19+⇶⊼⫶⩼⫲B2A)=NaN","reverse_text":"NaN=↣≠⋷(⫶⩼⫲C19+⇶⊼⫶⩼⫲B2A)","cot":[{"info":"⫶⩼⫲C19+⇶⊼⫶⩼⫲B2A=NaN","layer":1},{"info":"↣≠⋷NaN=NaN","layer":0}]}
{"id":92,"expression_no_base_symbol":"($3683$⩠)⨵⪆($1101$⫡⨏$5569$)","expression":"(⫶⩼⫲1158⩠)⨵⪆(⫶⩼⫲4D6⫡⨏⫶⩼⫲19B4)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":26,"operation_count":3,"complexity_ratio":8.666666666666666,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":3683,"base":15}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1101,"base":15},"right_expr":{"type":"numeric_atoms","value":5569,"base":15}}},"used_operators":["2DQ55sFlQl","sJAwomhLZr","QMFrweE19q"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","W4YGzv6Whe","t8gj7n24qd"],"result":"⫶⩼⫲AA","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=3683","layer":2},{"info":"compute unary expreesion, input=3683, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":1},{"info":"number node, value=1101","layer":2},{"info":"number node, value=5569","layer":2},{"info":"compute binary expreesion, left_input=1101, right_input=5569, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=17426","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=17426, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲1158⩠)⨵⪆(⫶⩼⫲4D6⫡⨏⫶⩼⫲19B4)=⫶⩼⫲AA","reverse_text":"⫶⩼⫲AA=(⫶⩼⫲1158⩠)⨵⪆(⫶⩼⫲4D6⫡⨏⫶⩼⫲19B4)","cot":[{"info":"⫶⩼⫲1158⩠=⫶⩼⫲0","layer":1},{"info":"⫶⩼⫲4D6⫡⨏⫶⩼⫲19B4=⫶⩼⫲526B","layer":1},{"info":"⫶⩼⫲0⨵⪆⫶⩼⫲526B=⫶⩼⫲AA","layer":0}]}
{"id":93,"expression_no_base_symbol":"($3387$/$1384$)⊠≄⫣","expression":"(⫶⩼⫲100C/⫶⩼⫲624)⊠≄⫣","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5,"operation_count":2,"complexity_ratio":2.5,"tree":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":3387,"base":15},"right_expr":{"type":"numeric_atoms","value":1384,"base":15}}},"used_operators":["DIvbN7qnHd","XhwjNDsVaA"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z"],"result":"⫶⩼⫲0","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=3387","layer":2},{"info":"number node, value=1384","layer":2},{"info":"compute binary expreesion, left_input=3387, right_input=1384, op_id = XhwjNDsVaA binary_op_definition= 'None', output=2","layer":1},{"info":"compute unary expreesion, input=2, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲100C/⫶⩼⫲624)⊠≄⫣=⫶⩼⫲0","reverse_text":"⫶⩼⫲0=(⫶⩼⫲100C/⫶⩼⫲624)⊠≄⫣","cot":[{"info":"⫶⩼⫲100C/⫶⩼⫲624=⫶⩼⫲2","layer":1},{"info":"⫶⩼⫲2⊠≄⫣=⫶⩼⫲0","layer":0}]}
{"id":94,"expression_no_base_symbol":"⇁⨣⪵(↯⪼$2812$)","expression":"⇁⨣⪵(↯⪼⫶⩼⫲C77)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":155,"operation_count":2,"complexity_ratio":77.5,"tree":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":2812,"base":15}}},"used_operators":["inkyxCbjAn","8jW3W4yZS5"],"dependent_operators":["B5M0gjZbta","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp"],"result":"⫶⩼⫲0","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=2812","layer":2},{"info":"compute unary expreesion, input=2812, 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 = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=0","layer":0}],"base":15,"result_base":15,"text":"⇁⨣⪵(↯⪼⫶⩼⫲C77)=⫶⩼⫲0","reverse_text":"⫶⩼⫲0=⇁⨣⪵(↯⪼⫶⩼⫲C77)","cot":[{"info":"↯⪼⫶⩼⫲C77=⫶⩼⫲-16","layer":1},{"info":"⇁⨣⪵⫶⩼⫲-16=⫶⩼⫲0","layer":0}]}
{"id":95,"expression_no_base_symbol":"$1536$⨰$2084$+$4944$⨳⩥⨓$3640$","expression":"⫶⩼⫲6C6⨰⫶⩼⫲93E+⫶⩼⫲16E9⨳⩥⨓⫶⩼⫲112A","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":10,"operation_count":3,"complexity_ratio":3.3333333333333335,"tree":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1536,"base":15},"right_expr":{"type":"numeric_atoms","value":2084,"base":15}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":4944,"base":15},"right_expr":{"type":"numeric_atoms","value":3640,"base":15}}},"used_operators":["W4YGzv6Whe","eewbuw0ToL","nCS4ZIUYfx"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z"],"result":"⫶⩼⫲-82C","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1536","layer":2},{"info":"number node, value=2084","layer":2},{"info":"compute binary expreesion, left_input=1536, right_input=2084, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-538","layer":1},{"info":"number node, value=4944","layer":2},{"info":"number node, value=3640","layer":2},{"info":"compute binary expreesion, left_input=4944, right_input=3640, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-1304","layer":1},{"info":"compute binary expreesion, left_input=-538, right_input=-1304, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-1842","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲6C6⨰⫶⩼⫲93E+⫶⩼⫲16E9⨳⩥⨓⫶⩼⫲112A=⫶⩼⫲-82C","reverse_text":"⫶⩼⫲-82C=⫶⩼⫲6C6⨰⫶⩼⫲93E+⫶⩼⫲16E9⨳⩥⨓⫶⩼⫲112A","cot":[{"info":"⫶⩼⫲6C6⨰⫶⩼⫲93E=⫶⩼⫲-25D","layer":1},{"info":"⫶⩼⫲16E9⨳⩥⨓⫶⩼⫲112A=⫶⩼⫲-5BE","layer":1},{"info":"⫶⩼⫲-25D+⫶⩼⫲-5BE=⫶⩼⫲-82C","layer":0}]}
{"id":96,"expression_no_base_symbol":"($4735$/$1165$)⨪↰⇹($5496$∑⇟⊟$5785$)","expression":"(⫶⩼⫲160A/⫶⩼⫲52A)⨪↰⇹(⫶⩼⫲1966∑⇟⊟⫶⩼⫲1AAA)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":9,"operation_count":3,"complexity_ratio":3.0,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":4735,"base":15},"right_expr":{"type":"numeric_atoms","value":1165,"base":15}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":5496,"base":15},"right_expr":{"type":"numeric_atoms","value":5785,"base":15}}},"used_operators":["tmPS8pqC7x","XhwjNDsVaA","U7g4x0WXJJ"],"dependent_operators":["rJVOvQCfKK","rysDP5nf3Z","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"⫶⩼⫲4","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=4735","layer":2},{"info":"number node, value=1165","layer":2},{"info":"compute binary expreesion, left_input=4735, right_input=1165, op_id = XhwjNDsVaA binary_op_definition= 'None', output=4","layer":1},{"info":"number node, value=5496","layer":2},{"info":"number node, value=5785","layer":2},{"info":"compute binary expreesion, left_input=5496, right_input=5785, 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=4, 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=4","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲160A/⫶⩼⫲52A)⨪↰⇹(⫶⩼⫲1966∑⇟⊟⫶⩼⫲1AAA)=⫶⩼⫲4","reverse_text":"⫶⩼⫲4=(⫶⩼⫲160A/⫶⩼⫲52A)⨪↰⇹(⫶⩼⫲1966∑⇟⊟⫶⩼⫲1AAA)","cot":[{"info":"⫶⩼⫲160A/⫶⩼⫲52A=⫶⩼⫲4","layer":1},{"info":"⫶⩼⫲1966∑⇟⊟⫶⩼⫲1AAA=NaN","layer":1},{"info":"⫶⩼⫲4⨪↰⇹NaN=⫶⩼⫲4","layer":0}]}
{"id":97,"expression_no_base_symbol":"($3566$⪨≂$6955$)∼($1022$⨪↰⇹$4519$)","expression":"(⫶⩼⫲10CB⪨≂⫶⩼⫲20DA)∼(⫶⩼⫲482⨪↰⇹⫶⩼⫲1514)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1159,"operation_count":3,"complexity_ratio":386.3333333333333,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":3566,"base":15},"right_expr":{"type":"numeric_atoms","value":6955,"base":15}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1022,"base":15},"right_expr":{"type":"numeric_atoms","value":4519,"base":15}}},"used_operators":["DyGG3AbaNP","sdazOOVcIp","tmPS8pqC7x"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=3566","layer":2},{"info":"number node, value=6955","layer":2},{"info":"compute binary expreesion, left_input=3566, right_input=6955, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-6676","layer":1},{"info":"number node, value=1022","layer":2},{"info":"number node, value=4519","layer":2},{"info":"compute binary expreesion, left_input=1022, right_input=4519, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1022","layer":1},{"info":"compute binary expreesion, left_input=-6676, right_input=1022, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲10CB⪨≂⫶⩼⫲20DA)∼(⫶⩼⫲482⨪↰⇹⫶⩼⫲1514)=NaN","reverse_text":"NaN=(⫶⩼⫲10CB⪨≂⫶⩼⫲20DA)∼(⫶⩼⫲482⨪↰⇹⫶⩼⫲1514)","cot":[{"info":"⫶⩼⫲10CB⪨≂⫶⩼⫲20DA=⫶⩼⫲-1EA1","layer":1},{"info":"⫶⩼⫲482⨪↰⇹⫶⩼⫲1514=⫶⩼⫲482","layer":1},{"info":"⫶⩼⫲-1EA1∼⫶⩼⫲482=NaN","layer":0}]}
{"id":98,"expression_no_base_symbol":"$1068$⨓$3685$⨸⪁(⫓⪴$1718$)","expression":"⫶⩼⫲4B3⨓⫶⩼⫲115A⨸⪁(⫓⪴⫶⩼⫲798)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5412,"operation_count":3,"complexity_ratio":1804.0,"tree":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1068,"base":15},"right_expr":{"type":"numeric_atoms","value":3685,"base":15}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":1718,"base":15}}},"used_operators":["g55IO6H4Gj","3ViojmjbAp","eLxqMNBOBk"],"dependent_operators":["W4YGzv6Whe","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","9HNa5Wba9A"],"result":"⫶⩼⫲7B6CEC","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1068","layer":2},{"info":"number node, value=3685","layer":2},{"info":"compute binary expreesion, left_input=1068, right_input=3685, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3688","layer":1},{"info":"number node, value=1718","layer":2},{"info":"compute unary expreesion, input=1718, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=2951524","layer":1},{"info":"compute binary expreesion, left_input=-3688, right_input=2951524, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=5895672","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲4B3⨓⫶⩼⫲115A⨸⪁(⫓⪴⫶⩼⫲798)=⫶⩼⫲7B6CEC","reverse_text":"⫶⩼⫲7B6CEC=⫶⩼⫲4B3⨓⫶⩼⫲115A⨸⪁(⫓⪴⫶⩼⫲798)","cot":[{"info":"⫶⩼⫲4B3⨓⫶⩼⫲115A=⫶⩼⫲-115D","layer":1},{"info":"⫓⪴⫶⩼⫲798=⫶⩼⫲3D47D4","layer":1},{"info":"⫶⩼⫲-115D⨸⪁⫶⩼⫲3D47D4=⫶⩼⫲7B6CEC","layer":0}]}
{"id":99,"expression_no_base_symbol":"$1031$⊴$1827$⫡⨏$3476$⨎$2670$","expression":"⫶⩼⫲48B⊴⫶⩼⫲81C⫡⨏⫶⩼⫲106B⨎⫶⩼⫲BD0","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1841,"operation_count":3,"complexity_ratio":613.6666666666666,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1031,"base":15},"right_expr":{"type":"numeric_atoms","value":1827,"base":15}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":3476,"base":15},"right_expr":{"type":"numeric_atoms","value":2670,"base":15}}},"used_operators":["QMFrweE19q","Nsiff2A1zJ","rJVOvQCfKK"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1031","layer":2},{"info":"number node, value=1827","layer":2},{"info":"compute binary expreesion, left_input=1031, right_input=1827, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=3476","layer":2},{"info":"number node, value=2670","layer":2},{"info":"compute binary expreesion, left_input=3476, right_input=2670, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2670","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2670, op_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":15,"result_base":15,"text":"⫶⩼⫲48B⊴⫶⩼⫲81C⫡⨏⫶⩼⫲106B⨎⫶⩼⫲BD0=NaN","reverse_text":"NaN=⫶⩼⫲48B⊴⫶⩼⫲81C⫡⨏⫶⩼⫲106B⨎⫶⩼⫲BD0","cot":[{"info":"⫶⩼⫲48B⊴⫶⩼⫲81C=NaN","layer":1},{"info":"⫶⩼⫲106B⨎⫶⩼⫲BD0=⫶⩼⫲BD0","layer":1},{"info":"NaN⫡⨏⫶⩼⫲BD0=NaN","layer":0}]}
{"id":100,"expression_no_base_symbol":"$1051$⇷$1860$+(⨑⩽⪐$3845$)","expression":"⫶⩼⫲4A1⇷⫶⩼⫲840+(⨑⩽⪐⫶⩼⫲1215)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":14725,"operation_count":3,"complexity_ratio":4908.333333333333,"tree":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1051,"base":15},"right_expr":{"type":"numeric_atoms","value":1860,"base":15}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":3845,"base":15}}},"used_operators":["W4YGzv6Whe","mp7IySMOzn","AF7qkfDlqP"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"⫶⩼⫲9D","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1051","layer":2},{"info":"number node, value=1860","layer":2},{"info":"compute binary expreesion, left_input=1051, right_input=1860, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3720","layer":1},{"info":"number node, value=3845","layer":2},{"info":"compute unary expreesion, input=3845, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-3572","layer":1},{"info":"compute binary expreesion, left_input=3720, right_input=-3572, op_id = W4YGzv6Whe binary_op_definition= 'None', output=148","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲4A1⇷⫶⩼⫲840+(⨑⩽⪐⫶⩼⫲1215)=⫶⩼⫲9D","reverse_text":"⫶⩼⫲9D=⫶⩼⫲4A1⇷⫶⩼⫲840+(⨑⩽⪐⫶⩼⫲1215)","cot":[{"info":"⫶⩼⫲4A1⇷⫶⩼⫲840=⫶⩼⫲1180","layer":1},{"info":"⨑⩽⪐⫶⩼⫲1215=⫶⩼⫲-10D2","layer":1},{"info":"⫶⩼⫲1180+⫶⩼⫲-10D2=⫶⩼⫲9D","layer":0}]}
{"id":101,"expression_no_base_symbol":"($1566$∲⫓$1023$)⇷($3971$≦≮≮)","expression":"(⫶⩼⫲6E6∲⫓⫶⩼⫲483)⇷(⫶⩼⫲129B≦≮≮)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":14,"operation_count":3,"complexity_ratio":4.666666666666667,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1566,"base":15},"right_expr":{"type":"numeric_atoms","value":1023,"base":15}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":3971,"base":15}}},"used_operators":["mp7IySMOzn","i8ToyICDmI","D4vGDi5EA2"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⫶⩼⫲0","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1566","layer":2},{"info":"number node, value=1023","layer":2},{"info":"compute binary expreesion, left_input=1566, right_input=1023, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":1},{"info":"number node, value=3971","layer":2},{"info":"compute unary expreesion, input=3971, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-11913","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-11913, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=0","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲6E6∲⫓⫶⩼⫲483)⇷(⫶⩼⫲129B≦≮≮)=⫶⩼⫲0","reverse_text":"⫶⩼⫲0=(⫶⩼⫲6E6∲⫓⫶⩼⫲483)⇷(⫶⩼⫲129B≦≮≮)","cot":[{"info":"⫶⩼⫲6E6∲⫓⫶⩼⫲483=⫶⩼⫲0","layer":1},{"info":"⫶⩼⫲129B≦≮≮=⫶⩼⫲-37E3","layer":1},{"info":"⫶⩼⫲0⇷⫶⩼⫲-37E3=⫶⩼⫲0","layer":0}]}
{"id":102,"expression_no_base_symbol":"($4615$/$3857$)⪒(-$2642$)","expression":"(⫶⩼⫲157A/⫶⩼⫲1222)⪒(-⫶⩼⫲BB2)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5,"operation_count":3,"complexity_ratio":1.6666666666666667,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":4615,"base":15},"right_expr":{"type":"numeric_atoms","value":3857,"base":15}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":2642,"base":15}}},"used_operators":["f6k1SAg4EE","XhwjNDsVaA","t8gj7n24qd"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"⫶⩼⫲BB1","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=4615","layer":2},{"info":"number node, value=3857","layer":2},{"info":"compute binary expreesion, left_input=4615, right_input=3857, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":1},{"info":"number node, value=2642","layer":2},{"info":"compute unary expreesion, input=2642, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-2642","layer":1},{"info":"compute binary expreesion, left_input=1, right_input=-2642, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=2641","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲157A/⫶⩼⫲1222)⪒(-⫶⩼⫲BB2)=⫶⩼⫲BB1","reverse_text":"⫶⩼⫲BB1=(⫶⩼⫲157A/⫶⩼⫲1222)⪒(-⫶⩼⫲BB2)","cot":[{"info":"⫶⩼⫲157A/⫶⩼⫲1222=⫶⩼⫲1","layer":1},{"info":"-⫶⩼⫲BB2=⫶⩼⫲-BB2","layer":1},{"info":"⫶⩼⫲1⪒⫶⩼⫲-BB2=⫶⩼⫲BB1","layer":0}]}
{"id":103,"expression_no_base_symbol":"$1968$≧⫂∧$2233$/$3933$⨪↰⇹$3033$","expression":"⫶⩼⫲8B3≧⫂∧⫶⩼⫲9DD/⫶⩼⫲1273⨪↰⇹⫶⩼⫲D73","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3935,"operation_count":3,"complexity_ratio":1311.6666666666667,"tree":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1968,"base":15},"right_expr":{"type":"numeric_atoms","value":2233,"base":15}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":3933,"base":15},"right_expr":{"type":"numeric_atoms","value":3033,"base":15}}},"used_operators":["XhwjNDsVaA","Ph9nP6C5qx","tmPS8pqC7x"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK"],"result":"⫶⩼⫲0","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1968","layer":2},{"info":"number node, value=2233","layer":2},{"info":"compute binary expreesion, left_input=1968, right_input=2233, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1760","layer":1},{"info":"number node, value=3933","layer":2},{"info":"number node, value=3033","layer":2},{"info":"compute binary expreesion, left_input=3933, right_input=3033, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=3933","layer":1},{"info":"compute binary expreesion, left_input=1760, right_input=3933, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲8B3≧⫂∧⫶⩼⫲9DD/⫶⩼⫲1273⨪↰⇹⫶⩼⫲D73=⫶⩼⫲0","reverse_text":"⫶⩼⫲0=⫶⩼⫲8B3≧⫂∧⫶⩼⫲9DD/⫶⩼⫲1273⨪↰⇹⫶⩼⫲D73","cot":[{"info":"⫶⩼⫲8B3≧⫂∧⫶⩼⫲9DD=⫶⩼⫲7C5","layer":1},{"info":"⫶⩼⫲1273⨪↰⇹⫶⩼⫲D73=⫶⩼⫲1273","layer":1},{"info":"⫶⩼⫲7C5/⫶⩼⫲1273=⫶⩼⫲0","layer":0}]}
{"id":104,"expression_no_base_symbol":"($4722$⨎$1046$)⨰($4777$*$3076$)","expression":"(⫶⩼⫲15EC⨎⫶⩼⫲49B)⨰(⫶⩼⫲1637*⫶⩼⫲DA1)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3083,"operation_count":3,"complexity_ratio":1027.6666666666667,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":4722,"base":15},"right_expr":{"type":"numeric_atoms","value":1046,"base":15}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":4777,"base":15},"right_expr":{"type":"numeric_atoms","value":3076,"base":15}}},"used_operators":["eewbuw0ToL","rJVOvQCfKK","9HNa5Wba9A"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe"],"result":"⫶⩼⫲-1453731","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=4722","layer":2},{"info":"number node, value=1046","layer":2},{"info":"compute binary expreesion, left_input=4722, right_input=1046, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1046","layer":1},{"info":"number node, value=4777","layer":2},{"info":"number node, value=3076","layer":2},{"info":"compute binary expreesion, left_input=4777, right_input=3076, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=14694052","layer":1},{"info":"compute binary expreesion, left_input=1046, right_input=14694052, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-14692996","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲15EC⨎⫶⩼⫲49B)⨰(⫶⩼⫲1637*⫶⩼⫲DA1)=⫶⩼⫲-1453731","reverse_text":"⫶⩼⫲-1453731=(⫶⩼⫲15EC⨎⫶⩼⫲49B)⨰(⫶⩼⫲1637*⫶⩼⫲DA1)","cot":[{"info":"⫶⩼⫲15EC⨎⫶⩼⫲49B=⫶⩼⫲49B","layer":1},{"info":"⫶⩼⫲1637*⫶⩼⫲DA1=⫶⩼⫲1453BD7","layer":1},{"info":"⫶⩼⫲49B⨰⫶⩼⫲1453BD7=⫶⩼⫲-1453731","layer":0}]}
{"id":105,"expression_no_base_symbol":"(⫓⪴$6042$)⊉≛↸($4002$*$1546$)","expression":"(⫓⪴⫶⩼⫲1BCC)⊉≛↸(⫶⩼⫲12BC*⫶⩼⫲6D1)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":7590,"operation_count":3,"complexity_ratio":2530.0,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":6042,"base":15}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":4002,"base":15},"right_expr":{"type":"numeric_atoms","value":1546,"base":15}}},"used_operators":["DZ8iAZOCBD","eLxqMNBOBk","9HNa5Wba9A"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","W4YGzv6Whe"],"result":"⫶⩼⫲66230A3","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=6042","layer":2},{"info":"compute unary expreesion, input=6042, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=36505764","layer":1},{"info":"number node, value=4002","layer":2},{"info":"number node, value=1546","layer":2},{"info":"compute binary expreesion, left_input=4002, right_input=1546, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=6187092","layer":1},{"info":"compute binary expreesion, left_input=36505764, right_input=6187092, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=73011528","layer":0}],"base":15,"result_base":15,"text":"(⫓⪴⫶⩼⫲1BCC)⊉≛↸(⫶⩼⫲12BC*⫶⩼⫲6D1)=⫶⩼⫲66230A3","reverse_text":"⫶⩼⫲66230A3=(⫓⪴⫶⩼⫲1BCC)⊉≛↸(⫶⩼⫲12BC*⫶⩼⫲6D1)","cot":[{"info":"⫓⪴⫶⩼⫲1BCC=⫶⩼⫲33117C9","layer":1},{"info":"⫶⩼⫲12BC*⫶⩼⫲6D1=⫶⩼⫲82332C","layer":1},{"info":"⫶⩼⫲33117C9⊉≛↸⫶⩼⫲82332C=⫶⩼⫲66230A3","layer":0}]}
{"id":106,"expression_no_base_symbol":"$6207$⪘⫢$2103$≎⊠⪸($7329$⊠≄⫣)","expression":"⫶⩼⫲1C8C⪘⫢⫶⩼⫲953≎⊠⪸(⫶⩼⫲2289⊠≄⫣)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":288,"operation_count":3,"complexity_ratio":96.0,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":6207,"base":15},"right_expr":{"type":"numeric_atoms","value":2103,"base":15}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":7329,"base":15}}},"used_operators":["bJkvcejdHO","oacrs7FA3X","DIvbN7qnHd"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd"],"result":"⫶⩼⫲42D00C","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=6207","layer":2},{"info":"number node, value=2103","layer":2},{"info":"compute binary expreesion, left_input=6207, right_input=2103, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=12290","layer":1},{"info":"number node, value=7329","layer":2},{"info":"compute unary expreesion, input=7329, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=12290, right_input=0, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=3182637","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲1C8C⪘⫢⫶⩼⫲953≎⊠⪸(⫶⩼⫲2289⊠≄⫣)=⫶⩼⫲42D00C","reverse_text":"⫶⩼⫲42D00C=⫶⩼⫲1C8C⪘⫢⫶⩼⫲953≎⊠⪸(⫶⩼⫲2289⊠≄⫣)","cot":[{"info":"⫶⩼⫲1C8C⪘⫢⫶⩼⫲953=⫶⩼⫲3995","layer":1},{"info":"⫶⩼⫲2289⊠≄⫣=⫶⩼⫲0","layer":1},{"info":"⫶⩼⫲3995≎⊠⪸⫶⩼⫲0=⫶⩼⫲42D00C","layer":0}]}
{"id":107,"expression_no_base_symbol":"$1419$⊴$1423$⊭∹↮","expression":"⫶⩼⫲649⊴⫶⩼⫲64D⊭∹↮","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1435,"operation_count":2,"complexity_ratio":717.5,"tree":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1419,"base":15},"right_expr":{"type":"numeric_atoms","value":1423,"base":15}}},"used_operators":["xNBdhnnwKq","Nsiff2A1zJ"],"dependent_operators":["2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1419","layer":2},{"info":"number node, value=1423","layer":2},{"info":"compute binary expreesion, left_input=1419, right_input=1423, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=nan","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲649⊴⫶⩼⫲64D⊭∹↮=NaN","reverse_text":"NaN=⫶⩼⫲649⊴⫶⩼⫲64D⊭∹↮","cot":[{"info":"⫶⩼⫲649⊴⫶⩼⫲64D=NaN","layer":1},{"info":"NaN⊭∹↮=NaN","layer":0}]}
{"id":108,"expression_no_base_symbol":"(⪲⇎$1695$)-$1407$*$1507$","expression":"(⪲⇎⫶⩼⫲780)-⫶⩼⫲63C*⫶⩼⫲6A7","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1410,"operation_count":3,"complexity_ratio":470.0,"tree":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1695,"base":15}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1407,"base":15},"right_expr":{"type":"numeric_atoms","value":1507,"base":15}}},"used_operators":["rysDP5nf3Z","XPYlsWDdGa","9HNa5Wba9A"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe"],"result":"⫶⩼⫲-2BC3A9","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1695","layer":2},{"info":"compute unary expreesion, input=1695, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=3390","layer":1},{"info":"number node, value=1407","layer":2},{"info":"number node, value=1507","layer":2},{"info":"compute binary expreesion, left_input=1407, right_input=1507, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=2120349","layer":1},{"info":"compute binary expreesion, left_input=3390, right_input=2120349, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-2116959","layer":0}],"base":15,"result_base":15,"text":"(⪲⇎⫶⩼⫲780)-⫶⩼⫲63C*⫶⩼⫲6A7=⫶⩼⫲-2BC3A9","reverse_text":"⫶⩼⫲-2BC3A9=(⪲⇎⫶⩼⫲780)-⫶⩼⫲63C*⫶⩼⫲6A7","cot":[{"info":"⪲⇎⫶⩼⫲780=⫶⩼⫲1010","layer":1},{"info":"⫶⩼⫲63C*⫶⩼⫲6A7=⫶⩼⫲2BD3B9","layer":1},{"info":"⫶⩼⫲1010-⫶⩼⫲2BD3B9=⫶⩼⫲-2BC3A9","layer":0}]}
{"id":109,"expression_no_base_symbol":"⊄⩳↩(⨈⫕$1429$)","expression":"⊄⩳↩(⨈⫕⫶⩼⫲654)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":389,"operation_count":2,"complexity_ratio":194.5,"tree":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":1429,"base":15}}},"used_operators":["8w2t5hMYqp","megm06wKyl"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q"],"result":"⫶⩼⫲43","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1429","layer":2},{"info":"compute unary expreesion, input=1429, 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 = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=63","layer":0}],"base":15,"result_base":15,"text":"⊄⩳↩(⨈⫕⫶⩼⫲654)=⫶⩼⫲43","reverse_text":"⫶⩼⫲43=⊄⩳↩(⨈⫕⫶⩼⫲654)","cot":[{"info":"⨈⫕⫶⩼⫲654=⫶⩼⫲-16","layer":1},{"info":"⊄⩳↩⫶⩼⫲-16=⫶⩼⫲43","layer":0}]}
{"id":110,"expression_no_base_symbol":"(⨈⫕$3346$)⪮%⊝(↯⪼$3442$)","expression":"(⨈⫕⫶⩼⫲ED1)⪮%⊝(↯⪼⫶⩼⫲1047)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":426,"operation_count":3,"complexity_ratio":142.0,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":3346,"base":15}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":3442,"base":15}}},"used_operators":["IWmyXbctLI","megm06wKyl","8jW3W4yZS5"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp"],"result":"⫶⩼⫲134","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=3346","layer":2},{"info":"compute unary expreesion, input=3346, 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=3442","layer":2},{"info":"compute unary expreesion, input=3442, 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=-21, right_input=-21, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=274","layer":0}],"base":15,"result_base":15,"text":"(⨈⫕⫶⩼⫲ED1)⪮%⊝(↯⪼⫶⩼⫲1047)=⫶⩼⫲134","reverse_text":"⫶⩼⫲134=(⨈⫕⫶⩼⫲ED1)⪮%⊝(↯⪼⫶⩼⫲1047)","cot":[{"info":"⨈⫕⫶⩼⫲ED1=⫶⩼⫲-16","layer":1},{"info":"↯⪼⫶⩼⫲1047=⫶⩼⫲-16","layer":1},{"info":"⫶⩼⫲-16⪮%⊝⫶⩼⫲-16=⫶⩼⫲134","layer":0}]}
{"id":111,"expression_no_base_symbol":"($8089$⪨≂$4558$)*$6350$∑⇟⊟$3269$","expression":"(⫶⩼⫲25E4⪨≂⫶⩼⫲153D)*⫶⩼⫲1D35∑⇟⊟⫶⩼⫲E7E","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7,"operation_count":3,"complexity_ratio":2.3333333333333335,"tree":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":8089,"base":15},"right_expr":{"type":"numeric_atoms","value":4558,"base":15}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":6350,"base":15},"right_expr":{"type":"numeric_atoms","value":3269,"base":15}}},"used_operators":["9HNa5Wba9A","sdazOOVcIp","U7g4x0WXJJ"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=8089","layer":2},{"info":"number node, value=4558","layer":2},{"info":"compute binary expreesion, left_input=8089, right_input=4558, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=7164","layer":1},{"info":"number node, value=6350","layer":2},{"info":"number node, value=3269","layer":2},{"info":"compute binary expreesion, left_input=6350, right_input=3269, 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=7164, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲25E4⪨≂⫶⩼⫲153D)*⫶⩼⫲1D35∑⇟⊟⫶⩼⫲E7E=NaN","reverse_text":"NaN=(⫶⩼⫲25E4⪨≂⫶⩼⫲153D)*⫶⩼⫲1D35∑⇟⊟⫶⩼⫲E7E","cot":[{"info":"⫶⩼⫲25E4⪨≂⫶⩼⫲153D=⫶⩼⫲21C9","layer":1},{"info":"⫶⩼⫲1D35∑⇟⊟⫶⩼⫲E7E=NaN","layer":1},{"info":"⫶⩼⫲21C9*NaN=NaN","layer":0}]}
{"id":112,"expression_no_base_symbol":"$3805$∼$1149$⇼⇔∾($3927$⪠⩆⊳)","expression":"⫶⩼⫲11DA∼⫶⩼⫲519⇼⇔∾(⫶⩼⫲126C⪠⩆⊳)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":84,"operation_count":3,"complexity_ratio":28.0,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":3805,"base":15},"right_expr":{"type":"numeric_atoms","value":1149,"base":15}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":3927,"base":15}}},"used_operators":["tifHPKVTfV","DyGG3AbaNP","JLbD19bQDL"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=3805","layer":2},{"info":"number node, value=1149","layer":2},{"info":"compute binary expreesion, left_input=3805, right_input=1149, 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=3927","layer":2},{"info":"compute unary expreesion, input=3927, 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 = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲11DA∼⫶⩼⫲519⇼⇔∾(⫶⩼⫲126C⪠⩆⊳)=NaN","reverse_text":"NaN=⫶⩼⫲11DA∼⫶⩼⫲519⇼⇔∾(⫶⩼⫲126C⪠⩆⊳)","cot":[{"info":"⫶⩼⫲11DA∼⫶⩼⫲519=NaN","layer":1},{"info":"⫶⩼⫲126C⪠⩆⊳=⫶⩼⫲0","layer":1},{"info":"NaN⇼⇔∾⫶⩼⫲0=NaN","layer":0}]}
{"id":113,"expression_no_base_symbol":"$5358$↬$5262$⋝⋈⪟($1400$⨳⩥⨓$9109$)","expression":"⫶⩼⫲18C3↬⫶⩼⫲185C⋝⋈⪟(⫶⩼⫲635⨳⩥⨓⫶⩼⫲2A74)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7,"operation_count":3,"complexity_ratio":2.3333333333333335,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":5358,"base":15},"right_expr":{"type":"numeric_atoms","value":5262,"base":15}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1400,"base":15},"right_expr":{"type":"numeric_atoms","value":9109,"base":15}}},"used_operators":["2DDjHMKMc0","B5M0gjZbta","nCS4ZIUYfx"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=5358","layer":2},{"info":"number node, value=5262","layer":2},{"info":"compute binary expreesion, left_input=5358, right_input=5262, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=1400","layer":2},{"info":"number node, value=9109","layer":2},{"info":"compute binary expreesion, left_input=1400, right_input=9109, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=7709","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=7709, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲18C3↬⫶⩼⫲185C⋝⋈⪟(⫶⩼⫲635⨳⩥⨓⫶⩼⫲2A74)=NaN","reverse_text":"NaN=⫶⩼⫲18C3↬⫶⩼⫲185C⋝⋈⪟(⫶⩼⫲635⨳⩥⨓⫶⩼⫲2A74)","cot":[{"info":"⫶⩼⫲18C3↬⫶⩼⫲185C=NaN","layer":1},{"info":"⫶⩼⫲635⨳⩥⨓⫶⩼⫲2A74=⫶⩼⫲243E","layer":1},{"info":"NaN⋝⋈⪟⫶⩼⫲243E=NaN","layer":0}]}
{"id":114,"expression_no_base_symbol":"↣≠⋷($1149$%$1372$)","expression":"↣≠⋷(⫶⩼⫲519%⫶⩼⫲617)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4,"operation_count":2,"complexity_ratio":2.0,"tree":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1149,"base":15},"right_expr":{"type":"numeric_atoms","value":1372,"base":15}}},"used_operators":["Asc51vEJeQ","k8jYdgA6NY"],"dependent_operators":["XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1149","layer":2},{"info":"number node, value=1372","layer":2},{"info":"compute binary expreesion, left_input=1149, right_input=1372, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1149","layer":1},{"info":"compute unary expreesion, input=1149, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"↣≠⋷(⫶⩼⫲519%⫶⩼⫲617)=NaN","reverse_text":"NaN=↣≠⋷(⫶⩼⫲519%⫶⩼⫲617)","cot":[{"info":"⫶⩼⫲519%⫶⩼⫲617=⫶⩼⫲519","layer":1},{"info":"↣≠⋷⫶⩼⫲519=NaN","layer":0}]}
{"id":115,"expression_no_base_symbol":"($1827$∀⇚≩$5584$)∀⇚≩($3414$⨰$2943$)","expression":"(⫶⩼⫲81C∀⇚≩⫶⩼⫲19C4)∀⇚≩(⫶⩼⫲1029⨰⫶⩼⫲D13)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":12796,"operation_count":3,"complexity_ratio":4265.333333333333,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1827,"base":15},"right_expr":{"type":"numeric_atoms","value":5584,"base":15}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":3414,"base":15},"right_expr":{"type":"numeric_atoms","value":2943,"base":15}}},"used_operators":["LRNGc0VcxI","eewbuw0ToL"],"dependent_operators":["X99M06cbEe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1827","layer":2},{"info":"number node, value=5584","layer":2},{"info":"compute binary expreesion, left_input=1827, right_input=5584, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=3414","layer":2},{"info":"number node, value=2943","layer":2},{"info":"compute binary expreesion, left_input=3414, right_input=2943, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=481","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=481, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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":15,"result_base":15,"text":"(⫶⩼⫲81C∀⇚≩⫶⩼⫲19C4)∀⇚≩(⫶⩼⫲1029⨰⫶⩼⫲D13)=NaN","reverse_text":"NaN=(⫶⩼⫲81C∀⇚≩⫶⩼⫲19C4)∀⇚≩(⫶⩼⫲1029⨰⫶⩼⫲D13)","cot":[{"info":"⫶⩼⫲81C∀⇚≩⫶⩼⫲19C4=NaN","layer":1},{"info":"⫶⩼⫲1029⨰⫶⩼⫲D13=⫶⩼⫲221","layer":1},{"info":"NaN∀⇚≩⫶⩼⫲221=NaN","layer":0}]}
{"id":116,"expression_no_base_symbol":"$3231$⊴$5661$⨎($1965$⪒$4931$)","expression":"⫶⩼⫲E56⊴⫶⩼⫲1A26⨎(⫶⩼⫲8B0⪒⫶⩼⫲16DB)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5671,"operation_count":3,"complexity_ratio":1890.3333333333333,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":3231,"base":15},"right_expr":{"type":"numeric_atoms","value":5661,"base":15}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1965,"base":15},"right_expr":{"type":"numeric_atoms","value":4931,"base":15}}},"used_operators":["rJVOvQCfKK","Nsiff2A1zJ","f6k1SAg4EE"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd"],"result":"⫶⩼⫲-209B","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=3231","layer":2},{"info":"number node, value=5661","layer":2},{"info":"compute binary expreesion, left_input=3231, right_input=5661, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=1965","layer":2},{"info":"number node, value=4931","layer":2},{"info":"compute binary expreesion, left_input=1965, right_input=4931, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-6896","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-6896, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-6896","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲E56⊴⫶⩼⫲1A26⨎(⫶⩼⫲8B0⪒⫶⩼⫲16DB)=⫶⩼⫲-209B","reverse_text":"⫶⩼⫲-209B=⫶⩼⫲E56⊴⫶⩼⫲1A26⨎(⫶⩼⫲8B0⪒⫶⩼⫲16DB)","cot":[{"info":"⫶⩼⫲E56⊴⫶⩼⫲1A26=NaN","layer":1},{"info":"⫶⩼⫲8B0⪒⫶⩼⫲16DB=⫶⩼⫲-209B","layer":1},{"info":"NaN⨎⫶⩼⫲-209B=⫶⩼⫲-209B","layer":0}]}
{"id":117,"expression_no_base_symbol":"$1312$⊭↱$3918$+$3361$⩚⊴⇥$6336$","expression":"⫶⩼⫲5C7⊭↱⫶⩼⫲1263+⫶⩼⫲EE1⩚⊴⇥⫶⩼⫲1D26","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":10,"operation_count":3,"complexity_ratio":3.3333333333333335,"tree":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1312,"base":15},"right_expr":{"type":"numeric_atoms","value":3918,"base":15}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":3361,"base":15},"right_expr":{"type":"numeric_atoms","value":6336,"base":15}}},"used_operators":["W4YGzv6Whe","COABgblf1C","NTOWxs364D"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"⫶⩼⫲-156B","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1312","layer":2},{"info":"number node, value=3918","layer":2},{"info":"compute binary expreesion, left_input=1312, right_input=3918, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=5217","layer":1},{"info":"number node, value=3361","layer":2},{"info":"number node, value=6336","layer":2},{"info":"compute binary expreesion, left_input=3361, right_input=6336, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-9818","layer":1},{"info":"compute binary expreesion, left_input=5217, right_input=-9818, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-4601","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲5C7⊭↱⫶⩼⫲1263+⫶⩼⫲EE1⩚⊴⇥⫶⩼⫲1D26=⫶⩼⫲-156B","reverse_text":"⫶⩼⫲-156B=⫶⩼⫲5C7⊭↱⫶⩼⫲1263+⫶⩼⫲EE1⩚⊴⇥⫶⩼⫲1D26","cot":[{"info":"⫶⩼⫲5C7⊭↱⫶⩼⫲1263=⫶⩼⫲182C","layer":1},{"info":"⫶⩼⫲EE1⩚⊴⇥⫶⩼⫲1D26=⫶⩼⫲-2D98","layer":1},{"info":"⫶⩼⫲182C+⫶⩼⫲-2D98=⫶⩼⫲-156B","layer":0}]}
{"id":118,"expression_no_base_symbol":"(⨰⫟⨤$5218$)⨵⪆(≤/$4309$)","expression":"(⨰⫟⨤⫶⩼⫲182D)⨵⪆(≤/⫶⩼⫲1424)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":20034,"operation_count":3,"complexity_ratio":6678.0,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":5218,"base":15}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":4309,"base":15}}},"used_operators":["2DQ55sFlQl","Tw270M8GLb","eLAdDNolq6"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z"],"result":"⫶⩼⫲AA","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=5218","layer":2},{"info":"compute unary expreesion, input=5218, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":1},{"info":"number node, value=4309","layer":2},{"info":"compute unary expreesion, input=4309, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-3825","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-3825, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":15,"result_base":15,"text":"(⨰⫟⨤⫶⩼⫲182D)⨵⪆(≤/⫶⩼⫲1424)=⫶⩼⫲AA","reverse_text":"⫶⩼⫲AA=(⨰⫟⨤⫶⩼⫲182D)⨵⪆(≤/⫶⩼⫲1424)","cot":[{"info":"⨰⫟⨤⫶⩼⫲182D=NaN","layer":1},{"info":"≤/⫶⩼⫲1424=⫶⩼⫲-1200","layer":1},{"info":"NaN⨵⪆⫶⩼⫲-1200=⫶⩼⫲AA","layer":0}]}
{"id":119,"expression_no_base_symbol":"(⊥$1524$)+⇶⊼($2527$⨸⪁$1091$)","expression":"(⊥⫶⩼⫲6B9)+⇶⊼(⫶⩼⫲B37⨸⪁⫶⩼⫲4CB)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5,"operation_count":3,"complexity_ratio":1.6666666666666667,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":1524,"base":15}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2527,"base":15},"right_expr":{"type":"numeric_atoms","value":1091,"base":15}}},"used_operators":["TpPTUOHfaN","Q3PJZHRvZv","g55IO6H4Gj"],"dependent_operators":["AHs5Up7iyr","fu6greOZ01","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1524","layer":2},{"info":"compute unary expreesion, input=1524, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":1},{"info":"number node, value=2527","layer":2},{"info":"number node, value=1091","layer":2},{"info":"compute binary expreesion, left_input=2527, right_input=1091, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=7236","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=7236, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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":15,"result_base":15,"text":"(⊥⫶⩼⫲6B9)+⇶⊼(⫶⩼⫲B37⨸⪁⫶⩼⫲4CB)=NaN","reverse_text":"NaN=(⊥⫶⩼⫲6B9)+⇶⊼(⫶⩼⫲B37⨸⪁⫶⩼⫲4CB)","cot":[{"info":"⊥⫶⩼⫲6B9=NaN","layer":1},{"info":"⫶⩼⫲B37⨸⪁⫶⩼⫲4CB=⫶⩼⫲2226","layer":1},{"info":"NaN+⇶⊼⫶⩼⫲2226=NaN","layer":0}]}
{"id":120,"expression_no_base_symbol":"↥$1065$≎⊠⪸$7541$","expression":"↥⫶⩼⫲4B0≎⊠⪸⫶⩼⫲237B","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5669,"operation_count":2,"complexity_ratio":2834.5,"tree":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1065,"base":15},"right_expr":{"type":"numeric_atoms","value":7541,"base":15}}},"used_operators":["A8NUZmVepG","bJkvcejdHO"],"dependent_operators":["k8jYdgA6NY","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"⫶⩼⫲D","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1065","layer":2},{"info":"number node, value=7541","layer":2},{"info":"compute binary expreesion, left_input=1065, right_input=7541, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=275362","layer":1},{"info":"compute unary expreesion, input=275362, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=13","layer":0}],"base":15,"result_base":15,"text":"↥⫶⩼⫲4B0≎⊠⪸⫶⩼⫲237B=⫶⩼⫲D","reverse_text":"⫶⩼⫲D=↥⫶⩼⫲4B0≎⊠⪸⫶⩼⫲237B","cot":[{"info":"⫶⩼⫲4B0≎⊠⪸⫶⩼⫲237B=⫶⩼⫲568C7","layer":1},{"info":"↥⫶⩼⫲568C7=⫶⩼⫲D","layer":0}]}
{"id":121,"expression_no_base_symbol":"⊙↵-($1392$⋫)","expression":"⊙↵-(⫶⩼⫲62C⋫)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2830,"operation_count":2,"complexity_ratio":1415.0,"tree":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":1392,"base":15}}},"used_operators":["oWn0xqSxBt","JL8yIekQnl"],"dependent_operators":["dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","tmPS8pqC7x"],"result":"⫶⩼⫲-1","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1392","layer":2},{"info":"compute unary expreesion, input=1392, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=1392","layer":1},{"info":"compute unary expreesion, input=1392, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":0}],"base":15,"result_base":15,"text":"⊙↵-(⫶⩼⫲62C⋫)=⫶⩼⫲-1","reverse_text":"⫶⩼⫲-1=⊙↵-(⫶⩼⫲62C⋫)","cot":[{"info":"⫶⩼⫲62C⋫=⫶⩼⫲62C","layer":1},{"info":"⊙↵-⫶⩼⫲62C=⫶⩼⫲-1","layer":0}]}
{"id":122,"expression_no_base_symbol":"($3815$+$3604$)≎⊠⪸(↩$3144$)","expression":"(⫶⩼⫲11E5+⫶⩼⫲1104)≎⊠⪸(↩⫶⩼⫲DE9)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":28,"operation_count":3,"complexity_ratio":9.333333333333334,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":3815,"base":15},"right_expr":{"type":"numeric_atoms","value":3604,"base":15}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":3144,"base":15}}},"used_operators":["bJkvcejdHO","W4YGzv6Whe","jLgFTUHLKL"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D"],"result":"⫶⩼⫲47","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=3815","layer":2},{"info":"number node, value=3604","layer":2},{"info":"compute binary expreesion, left_input=3815, right_input=3604, op_id = W4YGzv6Whe binary_op_definition= 'None', output=7419","layer":1},{"info":"number node, value=3144","layer":2},{"info":"compute unary expreesion, input=3144, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-22372","layer":1},{"info":"compute binary expreesion, left_input=7419, right_input=-22372, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲11E5+⫶⩼⫲1104)≎⊠⪸(↩⫶⩼⫲DE9)=⫶⩼⫲47","reverse_text":"⫶⩼⫲47=(⫶⩼⫲11E5+⫶⩼⫲1104)≎⊠⪸(↩⫶⩼⫲DE9)","cot":[{"info":"⫶⩼⫲11E5+⫶⩼⫲1104=⫶⩼⫲22E9","layer":1},{"info":"↩⫶⩼⫲DE9=⫶⩼⫲-6967","layer":1},{"info":"⫶⩼⫲22E9≎⊠⪸⫶⩼⫲-6967=⫶⩼⫲47","layer":0}]}
{"id":123,"expression_no_base_symbol":"⫓⪴($1327$⋫)","expression":"⫓⪴(⫶⩼⫲5D7⋫)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2654,"operation_count":2,"complexity_ratio":1327.0,"tree":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":1327,"base":15}}},"used_operators":["eLxqMNBOBk","JL8yIekQnl"],"dependent_operators":["9HNa5Wba9A","tmPS8pqC7x"],"result":"⫶⩼⫲24BB54","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1327","layer":2},{"info":"compute unary expreesion, input=1327, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=1327","layer":1},{"info":"compute unary expreesion, input=1327, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=1760929","layer":0}],"base":15,"result_base":15,"text":"⫓⪴(⫶⩼⫲5D7⋫)=⫶⩼⫲24BB54","reverse_text":"⫶⩼⫲24BB54=⫓⪴(⫶⩼⫲5D7⋫)","cot":[{"info":"⫶⩼⫲5D7⋫=⫶⩼⫲5D7","layer":1},{"info":"⫓⪴⫶⩼⫲5D7=⫶⩼⫲24BB54","layer":0}]}
{"id":124,"expression_no_base_symbol":"($3316$⊉≛↸$8553$)≫≃","expression":"(⫶⩼⫲EB1⊉≛↸⫶⩼⫲2803)≫≃","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":9,"operation_count":2,"complexity_ratio":4.5,"tree":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":3316,"base":15},"right_expr":{"type":"numeric_atoms","value":8553,"base":15}}},"used_operators":["X99M06cbEe","DZ8iAZOCBD"],"dependent_operators":["2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫶⩼⫲452A","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=3316","layer":2},{"info":"number node, value=8553","layer":2},{"info":"compute binary expreesion, left_input=3316, right_input=8553, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=6632","layer":1},{"info":"compute unary expreesion, input=6632, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=14665","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲EB1⊉≛↸⫶⩼⫲2803)≫≃=⫶⩼⫲452A","reverse_text":"⫶⩼⫲452A=(⫶⩼⫲EB1⊉≛↸⫶⩼⫲2803)≫≃","cot":[{"info":"⫶⩼⫲EB1⊉≛↸⫶⩼⫲2803=⫶⩼⫲1E72","layer":1},{"info":"⫶⩼⫲1E72≫≃=⫶⩼⫲452A","layer":0}]}
{"id":125,"expression_no_base_symbol":"↔($3144$⨐⩸⫘$3801$)","expression":"↔(⫶⩼⫲DE9⨐⩸⫘⫶⩼⫲11D6)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":23,"operation_count":2,"complexity_ratio":11.5,"tree":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":3144,"base":15},"right_expr":{"type":"numeric_atoms","value":3801,"base":15}}},"used_operators":["ruOEQAzv1W","fu6greOZ01"],"dependent_operators":["XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","3ViojmjbAp"],"result":"⫶⩼⫲-8E","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=3144","layer":2},{"info":"number node, value=3801","layer":2},{"info":"compute binary expreesion, left_input=3144, right_input=3801, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":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":15,"result_base":15,"text":"↔(⫶⩼⫲DE9⨐⩸⫘⫶⩼⫲11D6)=⫶⩼⫲-8E","reverse_text":"⫶⩼⫲-8E=↔(⫶⩼⫲DE9⨐⩸⫘⫶⩼⫲11D6)","cot":[{"info":"⫶⩼⫲DE9⨐⩸⫘⫶⩼⫲11D6=NaN","layer":1},{"info":"↔NaN=⫶⩼⫲-8E","layer":0}]}
{"id":126,"expression_no_base_symbol":"($5113$⨵⪆$2388$)⪮%⊝($3092$⨎$1190$)","expression":"(⫶⩼⫲17AD⨵⪆⫶⩼⫲A93)⪮%⊝(⫶⩼⫲DB2⨎⫶⩼⫲545)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":11,"operation_count":3,"complexity_ratio":3.6666666666666665,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":5113,"base":15},"right_expr":{"type":"numeric_atoms","value":2388,"base":15}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":3092,"base":15},"right_expr":{"type":"numeric_atoms","value":1190,"base":15}}},"used_operators":["IWmyXbctLI","2DQ55sFlQl","rJVOvQCfKK"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"⫶⩼⫲2C6","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=5113","layer":2},{"info":"number node, value=2388","layer":2},{"info":"compute binary expreesion, left_input=5113, right_input=2388, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=3092","layer":2},{"info":"number node, value=1190","layer":2},{"info":"compute binary expreesion, left_input=3092, right_input=1190, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1190","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=1190, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=636","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲17AD⨵⪆⫶⩼⫲A93)⪮%⊝(⫶⩼⫲DB2⨎⫶⩼⫲545)=⫶⩼⫲2C6","reverse_text":"⫶⩼⫲2C6=(⫶⩼⫲17AD⨵⪆⫶⩼⫲A93)⪮%⊝(⫶⩼⫲DB2⨎⫶⩼⫲545)","cot":[{"info":"⫶⩼⫲17AD⨵⪆⫶⩼⫲A93=⫶⩼⫲AA","layer":1},{"info":"⫶⩼⫲DB2⨎⫶⩼⫲545=⫶⩼⫲545","layer":1},{"info":"⫶⩼⫲AA⪮%⊝⫶⩼⫲545=⫶⩼⫲2C6","layer":0}]}
{"id":127,"expression_no_base_symbol":"($1041$⨐⩸⫘$2631$)≫≃","expression":"(⫶⩼⫲496⨐⩸⫘⫶⩼⫲BA6)≫≃","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":8,"operation_count":2,"complexity_ratio":4.0,"tree":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1041,"base":15},"right_expr":{"type":"numeric_atoms","value":2631,"base":15}}},"used_operators":["X99M06cbEe","fu6greOZ01"],"dependent_operators":["2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1041","layer":2},{"info":"number node, value=2631","layer":2},{"info":"compute binary expreesion, left_input=1041, right_input=2631, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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 = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=nan","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲496⨐⩸⫘⫶⩼⫲BA6)≫≃=NaN","reverse_text":"NaN=(⫶⩼⫲496⨐⩸⫘⫶⩼⫲BA6)≫≃","cot":[{"info":"⫶⩼⫲496⨐⩸⫘⫶⩼⫲BA6=NaN","layer":1},{"info":"NaN≫≃=NaN","layer":0}]}
{"id":128,"expression_no_base_symbol":"(+⊝⨔$3621$)⪒$1229$⨳⩥⨓$1135$","expression":"(+⊝⨔⫶⩼⫲1116)⪒⫶⩼⫲56E⨳⩥⨓⫶⩼⫲50A","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":46,"operation_count":3,"complexity_ratio":15.333333333333334,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":3621,"base":15}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1229,"base":15},"right_expr":{"type":"numeric_atoms","value":1135,"base":15}}},"used_operators":["f6k1SAg4EE","DhbWaqg5eL","nCS4ZIUYfx"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z"],"result":"⫶⩼⫲-653","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=3621","layer":2},{"info":"compute unary expreesion, input=3621, op_id = 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=1229","layer":2},{"info":"number node, value=1135","layer":2},{"info":"compute binary expreesion, left_input=1229, right_input=1135, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-94","layer":1},{"info":"compute binary expreesion, left_input=1522, right_input=-94, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-1428","layer":0}],"base":15,"result_base":15,"text":"(+⊝⨔⫶⩼⫲1116)⪒⫶⩼⫲56E⨳⩥⨓⫶⩼⫲50A=⫶⩼⫲-653","reverse_text":"⫶⩼⫲-653=(+⊝⨔⫶⩼⫲1116)⪒⫶⩼⫲56E⨳⩥⨓⫶⩼⫲50A","cot":[{"info":"+⊝⨔⫶⩼⫲1116=⫶⩼⫲6B7","layer":1},{"info":"⫶⩼⫲56E⨳⩥⨓⫶⩼⫲50A=⫶⩼⫲-64","layer":1},{"info":"⫶⩼⫲6B7⪒⫶⩼⫲-64=⫶⩼⫲-653","layer":0}]}
{"id":129,"expression_no_base_symbol":"$1522$∼$3543$⋷$2699$⪒$5381$","expression":"⫶⩼⫲6B7∼⫶⩼⫲10B3⋷⫶⩼⫲BEE⪒⫶⩼⫲18DB","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":36,"operation_count":3,"complexity_ratio":12.0,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1522,"base":15},"right_expr":{"type":"numeric_atoms","value":3543,"base":15}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2699,"base":15},"right_expr":{"type":"numeric_atoms","value":5381,"base":15}}},"used_operators":["23Mk6UjR3U","DyGG3AbaNP","f6k1SAg4EE"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1522","layer":2},{"info":"number node, value=3543","layer":2},{"info":"compute binary expreesion, left_input=1522, right_input=3543, 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=2699","layer":2},{"info":"number node, value=5381","layer":2},{"info":"compute binary expreesion, left_input=2699, right_input=5381, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-8080","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-8080, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲6B7∼⫶⩼⫲10B3⋷⫶⩼⫲BEE⪒⫶⩼⫲18DB=NaN","reverse_text":"NaN=⫶⩼⫲6B7∼⫶⩼⫲10B3⋷⫶⩼⫲BEE⪒⫶⩼⫲18DB","cot":[{"info":"⫶⩼⫲6B7∼⫶⩼⫲10B3=NaN","layer":1},{"info":"⫶⩼⫲BEE⪒⫶⩼⫲18DB=⫶⩼⫲-25DA","layer":1},{"info":"NaN⋷⫶⩼⫲-25DA=NaN","layer":0}]}
{"id":130,"expression_no_base_symbol":"⫛⫱⨽($7082$⩨$1382$)","expression":"⫛⫱⨽(⫶⩼⫲2172⩨⫶⩼⫲622)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":916,"operation_count":2,"complexity_ratio":458.0,"tree":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":7082,"base":15},"right_expr":{"type":"numeric_atoms","value":1382,"base":15}}},"used_operators":["DlLNRPXxWL","2DlMacCsIx"],"dependent_operators":["rGHVDoGpnC","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"⫶⩼⫲0","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=7082","layer":2},{"info":"number node, value=1382","layer":2},{"info":"compute binary expreesion, left_input=7082, right_input=1382, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":0}],"base":15,"result_base":15,"text":"⫛⫱⨽(⫶⩼⫲2172⩨⫶⩼⫲622)=⫶⩼⫲0","reverse_text":"⫶⩼⫲0=⫛⫱⨽(⫶⩼⫲2172⩨⫶⩼⫲622)","cot":[{"info":"⫶⩼⫲2172⩨⫶⩼⫲622=⫶⩼⫲0","layer":1},{"info":"⫛⫱⨽⫶⩼⫲0=⫶⩼⫲0","layer":0}]}
{"id":131,"expression_no_base_symbol":"(↽≂$1481$)↙($3697$⪒$1346$)","expression":"(↽≂⫶⩼⫲68B)↙(⫶⩼⫲1167⪒⫶⩼⫲5EB)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7,"operation_count":3,"complexity_ratio":2.3333333333333335,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":1481,"base":15}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":3697,"base":15},"right_expr":{"type":"numeric_atoms","value":1346,"base":15}}},"used_operators":["yyfyN0ffXY","u6S6b8DprG","f6k1SAg4EE"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⫶⩼⫲-D27","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1481","layer":2},{"info":"compute unary expreesion, input=1481, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-2962","layer":1},{"info":"number node, value=3697","layer":2},{"info":"number node, value=1346","layer":2},{"info":"compute binary expreesion, left_input=3697, right_input=1346, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5043","layer":1},{"info":"compute binary expreesion, left_input=-2962, right_input=-5043, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-2962","layer":0}],"base":15,"result_base":15,"text":"(↽≂⫶⩼⫲68B)↙(⫶⩼⫲1167⪒⫶⩼⫲5EB)=⫶⩼⫲-D27","reverse_text":"⫶⩼⫲-D27=(↽≂⫶⩼⫲68B)↙(⫶⩼⫲1167⪒⫶⩼⫲5EB)","cot":[{"info":"↽≂⫶⩼⫲68B=⫶⩼⫲-D27","layer":1},{"info":"⫶⩼⫲1167⪒⫶⩼⫲5EB=⫶⩼⫲-1763","layer":1},{"info":"⫶⩼⫲-D27↙⫶⩼⫲-1763=⫶⩼⫲-D27","layer":0}]}
{"id":132,"expression_no_base_symbol":"($1099$⇷$2679$)⪢($2304$≫≃)","expression":"(⫶⩼⫲4D4⇷⫶⩼⫲BD9)⪢(⫶⩼⫲A39≫≃)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":21408,"operation_count":3,"complexity_ratio":7136.0,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1099,"base":15},"right_expr":{"type":"numeric_atoms","value":2679,"base":15}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":2304,"base":15}}},"used_operators":["dWAJyo7jo9","mp7IySMOzn","X99M06cbEe"],"dependent_operators":["k8jYdgA6NY","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1099","layer":2},{"info":"number node, value=2679","layer":2},{"info":"compute binary expreesion, left_input=1099, right_input=2679, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=5358","layer":1},{"info":"number node, value=2304","layer":2},{"info":"compute unary expreesion, input=2304, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=6009","layer":1},{"info":"compute binary expreesion, left_input=5358, right_input=6009, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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":15,"result_base":15,"text":"(⫶⩼⫲4D4⇷⫶⩼⫲BD9)⪢(⫶⩼⫲A39≫≃)=NaN","reverse_text":"NaN=(⫶⩼⫲4D4⇷⫶⩼⫲BD9)⪢(⫶⩼⫲A39≫≃)","cot":[{"info":"⫶⩼⫲4D4⇷⫶⩼⫲BD9=⫶⩼⫲18C3","layer":1},{"info":"⫶⩼⫲A39≫≃=⫶⩼⫲1BA9","layer":1},{"info":"⫶⩼⫲18C3⪢⫶⩼⫲1BA9=NaN","layer":0}]}
{"id":133,"expression_no_base_symbol":"$3841$⨪↰⇹$3137$-(⨰⫟⨤$4888$)","expression":"⫶⩼⫲1211⨪↰⇹⫶⩼⫲DE2-(⨰⫟⨤⫶⩼⫲16AD)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":22554,"operation_count":3,"complexity_ratio":7518.0,"tree":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":3841,"base":15},"right_expr":{"type":"numeric_atoms","value":3137,"base":15}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":4888,"base":15}}},"used_operators":["rysDP5nf3Z","tmPS8pqC7x","Tw270M8GLb"],"dependent_operators":["rJVOvQCfKK","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=3841","layer":2},{"info":"number node, value=3137","layer":2},{"info":"compute binary expreesion, left_input=3841, right_input=3137, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=3841","layer":1},{"info":"number node, value=4888","layer":2},{"info":"compute unary expreesion, input=4888, 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=3841, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲1211⨪↰⇹⫶⩼⫲DE2-(⨰⫟⨤⫶⩼⫲16AD)=NaN","reverse_text":"NaN=⫶⩼⫲1211⨪↰⇹⫶⩼⫲DE2-(⨰⫟⨤⫶⩼⫲16AD)","cot":[{"info":"⫶⩼⫲1211⨪↰⇹⫶⩼⫲DE2=⫶⩼⫲1211","layer":1},{"info":"⨰⫟⨤⫶⩼⫲16AD=NaN","layer":1},{"info":"⫶⩼⫲1211-NaN=NaN","layer":0}]}
{"id":134,"expression_no_base_symbol":"$1220$∀⇚≩$2077$∲⫓($5496$⪠⩆⊳)","expression":"⫶⩼⫲565∀⇚≩⫶⩼⫲937∲⫓(⫶⩼⫲1966⪠⩆⊳)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":8547,"operation_count":3,"complexity_ratio":2849.0,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1220,"base":15},"right_expr":{"type":"numeric_atoms","value":2077,"base":15}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":5496,"base":15}}},"used_operators":["i8ToyICDmI","LRNGc0VcxI","JLbD19bQDL"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1220","layer":2},{"info":"number node, value=2077","layer":2},{"info":"compute binary expreesion, left_input=1220, right_input=2077, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=5496","layer":2},{"info":"compute unary expreesion, input=5496, 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 = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲565∀⇚≩⫶⩼⫲937∲⫓(⫶⩼⫲1966⪠⩆⊳)=NaN","reverse_text":"NaN=⫶⩼⫲565∀⇚≩⫶⩼⫲937∲⫓(⫶⩼⫲1966⪠⩆⊳)","cot":[{"info":"⫶⩼⫲565∀⇚≩⫶⩼⫲937=NaN","layer":1},{"info":"⫶⩼⫲1966⪠⩆⊳=⫶⩼⫲0","layer":1},{"info":"NaN∲⫓⫶⩼⫲0=NaN","layer":0}]}
{"id":135,"expression_no_base_symbol":"($3442$⩷∴$3738$)⨪↰⇹$7846$⨟⋌⩍$5067$","expression":"(⫶⩼⫲1047⩷∴⫶⩼⫲1193)⨪↰⇹⫶⩼⫲24D1⨟⋌⩍⫶⩼⫲177C","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":631,"operation_count":3,"complexity_ratio":210.33333333333334,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":3442,"base":15},"right_expr":{"type":"numeric_atoms","value":3738,"base":15}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":7846,"base":15},"right_expr":{"type":"numeric_atoms","value":5067,"base":15}}},"used_operators":["tmPS8pqC7x","9FxExcQeMw","rGHVDoGpnC"],"dependent_operators":["rJVOvQCfKK","rysDP5nf3Z","Tcnh7f0tEr"],"result":"⫶⩼⫲-2B9","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=3442","layer":2},{"info":"number node, value=3738","layer":2},{"info":"compute binary expreesion, left_input=3442, right_input=3738, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-624","layer":1},{"info":"number node, value=7846","layer":2},{"info":"number node, value=5067","layer":2},{"info":"compute binary expreesion, left_input=7846, right_input=5067, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=-624, 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=-624","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲1047⩷∴⫶⩼⫲1193)⨪↰⇹⫶⩼⫲24D1⨟⋌⩍⫶⩼⫲177C=⫶⩼⫲-2B9","reverse_text":"⫶⩼⫲-2B9=(⫶⩼⫲1047⩷∴⫶⩼⫲1193)⨪↰⇹⫶⩼⫲24D1⨟⋌⩍⫶⩼⫲177C","cot":[{"info":"⫶⩼⫲1047⩷∴⫶⩼⫲1193=⫶⩼⫲-2B9","layer":1},{"info":"⫶⩼⫲24D1⨟⋌⩍⫶⩼⫲177C=NaN","layer":1},{"info":"⫶⩼⫲-2B9⨪↰⇹NaN=⫶⩼⫲-2B9","layer":0}]}
{"id":136,"expression_no_base_symbol":"$2717$⋥≓≎$2408$⩨($1357$≋⫹)","expression":"⫶⩼⫲C12⋥≓≎⫶⩼⫲AA8⩨(⫶⩼⫲607≋⫹)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":11,"operation_count":3,"complexity_ratio":3.6666666666666665,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2717,"base":15},"right_expr":{"type":"numeric_atoms","value":2408,"base":15}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":1357,"base":15}}},"used_operators":["2DlMacCsIx","Qy55tPpLXF","N41Kp7NANJ"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⫶⩼⫲6","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2717","layer":2},{"info":"number node, value=2408","layer":2},{"info":"compute binary expreesion, left_input=2717, right_input=2408, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=2132","layer":1},{"info":"number node, value=1357","layer":2},{"info":"compute unary expreesion, input=1357, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-2714","layer":1},{"info":"compute binary expreesion, left_input=2132, right_input=-2714, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=6","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲C12⋥≓≎⫶⩼⫲AA8⩨(⫶⩼⫲607≋⫹)=⫶⩼⫲6","reverse_text":"⫶⩼⫲6=⫶⩼⫲C12⋥≓≎⫶⩼⫲AA8⩨(⫶⩼⫲607≋⫹)","cot":[{"info":"⫶⩼⫲C12⋥≓≎⫶⩼⫲AA8=⫶⩼⫲972","layer":1},{"info":"⫶⩼⫲607≋⫹=⫶⩼⫲-C0E","layer":1},{"info":"⫶⩼⫲972⩨⫶⩼⫲-C0E=⫶⩼⫲6","layer":0}]}
{"id":137,"expression_no_base_symbol":"($2267$↙$2442$)⪢$2370$⪢$4455$","expression":"(⫶⩼⫲A12↙⫶⩼⫲ACC)⪢⫶⩼⫲A80⪢⫶⩼⫲14C0","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":6901,"operation_count":3,"complexity_ratio":2300.3333333333335,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2267,"base":15},"right_expr":{"type":"numeric_atoms","value":2442,"base":15}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2370,"base":15},"right_expr":{"type":"numeric_atoms","value":4455,"base":15}}},"used_operators":["dWAJyo7jo9","yyfyN0ffXY"],"dependent_operators":["k8jYdgA6NY","tmPS8pqC7x","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2267","layer":2},{"info":"number node, value=2442","layer":2},{"info":"compute binary expreesion, left_input=2267, right_input=2442, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-7326","layer":1},{"info":"number node, value=2370","layer":2},{"info":"number node, value=4455","layer":2},{"info":"compute binary expreesion, left_input=2370, right_input=4455, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=-7326, 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":15,"result_base":15,"text":"(⫶⩼⫲A12↙⫶⩼⫲ACC)⪢⫶⩼⫲A80⪢⫶⩼⫲14C0=NaN","reverse_text":"NaN=(⫶⩼⫲A12↙⫶⩼⫲ACC)⪢⫶⩼⫲A80⪢⫶⩼⫲14C0","cot":[{"info":"⫶⩼⫲A12↙⫶⩼⫲ACC=⫶⩼⫲-2286","layer":1},{"info":"⫶⩼⫲A80⪢⫶⩼⫲14C0=NaN","layer":1},{"info":"⫶⩼⫲-2286⪢NaN=NaN","layer":0}]}
{"id":138,"expression_no_base_symbol":"⊄⩳↩$1422$⇷$1262$","expression":"⊄⩳↩⫶⩼⫲64C⇷⫶⩼⫲592","highest_n_order":3,"priority_hierarchical_complexity":1,"normalized_expansion_degree":19917,"operation_count":2,"complexity_ratio":9958.5,"tree":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1422,"base":15},"right_expr":{"type":"numeric_atoms","value":1262,"base":15}}},"used_operators":["8w2t5hMYqp","mp7IySMOzn"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"⫶⩼⫲-239C","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1422","layer":2},{"info":"number node, value=1262","layer":2},{"info":"compute binary expreesion, left_input=1422, right_input=1262, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2524","layer":1},{"info":"compute unary expreesion, input=2524, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-7572","layer":0}],"base":15,"result_base":15,"text":"⊄⩳↩⫶⩼⫲64C⇷⫶⩼⫲592=⫶⩼⫲-239C","reverse_text":"⫶⩼⫲-239C=⊄⩳↩⫶⩼⫲64C⇷⫶⩼⫲592","cot":[{"info":"⫶⩼⫲64C⇷⫶⩼⫲592=⫶⩼⫲B34","layer":1},{"info":"⊄⩳↩⫶⩼⫲B34=⫶⩼⫲-239C","layer":0}]}
{"id":139,"expression_no_base_symbol":"$1329$∀⇚≩$4144$⨰($2048$⪐)","expression":"⫶⩼⫲5D9∀⇚≩⫶⩼⫲1364⨰(⫶⩼⫲918⪐)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":9311,"operation_count":3,"complexity_ratio":3103.6666666666665,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1329,"base":15},"right_expr":{"type":"numeric_atoms","value":4144,"base":15}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":2048,"base":15}}},"used_operators":["eewbuw0ToL","LRNGc0VcxI","eH2TOUuTDT"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1329","layer":2},{"info":"number node, value=4144","layer":2},{"info":"compute binary expreesion, left_input=1329, right_input=4144, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=2048","layer":2},{"info":"compute unary expreesion, input=2048, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=4096","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=4096, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲5D9∀⇚≩⫶⩼⫲1364⨰(⫶⩼⫲918⪐)=NaN","reverse_text":"NaN=⫶⩼⫲5D9∀⇚≩⫶⩼⫲1364⨰(⫶⩼⫲918⪐)","cot":[{"info":"⫶⩼⫲5D9∀⇚≩⫶⩼⫲1364=NaN","layer":1},{"info":"⫶⩼⫲918⪐=⫶⩼⫲1331","layer":1},{"info":"NaN⨰⫶⩼⫲1331=NaN","layer":0}]}
{"id":140,"expression_no_base_symbol":"≤/($5471$⇼⇔∾$7056$)","expression":"≤/(⫶⩼⫲194B⇼⇔∾⫶⩼⫲2156)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3,"operation_count":2,"complexity_ratio":1.5,"tree":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":5471,"base":15},"right_expr":{"type":"numeric_atoms","value":7056,"base":15}}},"used_operators":["eLAdDNolq6","tifHPKVTfV"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"⫶⩼⫲-4D6","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=5471","layer":2},{"info":"number node, value=7056","layer":2},{"info":"compute binary expreesion, left_input=5471, right_input=7056, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1585","layer":1},{"info":"compute unary expreesion, input=1585, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1101","layer":0}],"base":15,"result_base":15,"text":"≤/(⫶⩼⫲194B⇼⇔∾⫶⩼⫲2156)=⫶⩼⫲-4D6","reverse_text":"⫶⩼⫲-4D6=≤/(⫶⩼⫲194B⇼⇔∾⫶⩼⫲2156)","cot":[{"info":"⫶⩼⫲194B⇼⇔∾⫶⩼⫲2156=⫶⩼⫲70A","layer":1},{"info":"≤/⫶⩼⫲70A=⫶⩼⫲-4D6","layer":0}]}
{"id":141,"expression_no_base_symbol":"($1435$⋳⪒$2271$)∼($4200$⨓$4447$)","expression":"(⫶⩼⫲65A⋳⪒⫶⩼⫲A16)∼(⫶⩼⫲13A0⨓⫶⩼⫲14B7)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4468,"operation_count":3,"complexity_ratio":1489.3333333333333,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1435,"base":15},"right_expr":{"type":"numeric_atoms","value":2271,"base":15}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":4200,"base":15},"right_expr":{"type":"numeric_atoms","value":4447,"base":15}}},"used_operators":["DyGG3AbaNP","12rbrZMWeM","3ViojmjbAp"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1435","layer":2},{"info":"number node, value=2271","layer":2},{"info":"compute binary expreesion, left_input=1435, right_input=2271, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=312","layer":1},{"info":"number node, value=4200","layer":2},{"info":"number node, value=4447","layer":2},{"info":"compute binary expreesion, left_input=4200, right_input=4447, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-4450","layer":1},{"info":"compute binary expreesion, left_input=312, right_input=-4450, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲65A⋳⪒⫶⩼⫲A16)∼(⫶⩼⫲13A0⨓⫶⩼⫲14B7)=NaN","reverse_text":"NaN=(⫶⩼⫲65A⋳⪒⫶⩼⫲A16)∼(⫶⩼⫲13A0⨓⫶⩼⫲14B7)","cot":[{"info":"⫶⩼⫲65A⋳⪒⫶⩼⫲A16=⫶⩼⫲15C","layer":1},{"info":"⫶⩼⫲13A0⨓⫶⩼⫲14B7=⫶⩼⫲-14BA","layer":1},{"info":"⫶⩼⫲15C∼⫶⩼⫲-14BA=NaN","layer":0}]}
{"id":142,"expression_no_base_symbol":"($1401$⪨≂$3745$)⨪↰⇹($4315$⨐⩸⫘$3940$)","expression":"(⫶⩼⫲636⪨≂⫶⩼⫲119A)⨪↰⇹(⫶⩼⫲142A⨐⩸⫘⫶⩼⫲127A)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4592,"operation_count":3,"complexity_ratio":1530.6666666666667,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1401,"base":15},"right_expr":{"type":"numeric_atoms","value":3745,"base":15}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":4315,"base":15},"right_expr":{"type":"numeric_atoms","value":3940,"base":15}}},"used_operators":["tmPS8pqC7x","sdazOOVcIp","fu6greOZ01"],"dependent_operators":["rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp"],"result":"⫶⩼⫲-155B","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1401","layer":2},{"info":"number node, value=3745","layer":2},{"info":"compute binary expreesion, left_input=1401, right_input=3745, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-4586","layer":1},{"info":"number node, value=4315","layer":2},{"info":"number node, value=3940","layer":2},{"info":"compute binary expreesion, left_input=4315, right_input=3940, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=-4586, 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=-4586","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲636⪨≂⫶⩼⫲119A)⨪↰⇹(⫶⩼⫲142A⨐⩸⫘⫶⩼⫲127A)=⫶⩼⫲-155B","reverse_text":"⫶⩼⫲-155B=(⫶⩼⫲636⪨≂⫶⩼⫲119A)⨪↰⇹(⫶⩼⫲142A⨐⩸⫘⫶⩼⫲127A)","cot":[{"info":"⫶⩼⫲636⪨≂⫶⩼⫲119A=⫶⩼⫲-155B","layer":1},{"info":"⫶⩼⫲142A⨐⩸⫘⫶⩼⫲127A=NaN","layer":1},{"info":"⫶⩼⫲-155B⨪↰⇹NaN=⫶⩼⫲-155B","layer":0}]}
{"id":143,"expression_no_base_symbol":"$1464$⨰$1713$↺$2398$⋳⪒$1048$","expression":"⫶⩼⫲679⨰⫶⩼⫲793↺⫶⩼⫲A9D⋳⪒⫶⩼⫲49D","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":15,"operation_count":3,"complexity_ratio":5.0,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1464,"base":15},"right_expr":{"type":"numeric_atoms","value":1713,"base":15}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2398,"base":15},"right_expr":{"type":"numeric_atoms","value":1048,"base":15}}},"used_operators":["7j4O788W3g","eewbuw0ToL","12rbrZMWeM"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⫶⩼⫲105B","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1464","layer":2},{"info":"number node, value=1713","layer":2},{"info":"compute binary expreesion, left_input=1464, right_input=1713, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-239","layer":1},{"info":"number node, value=2398","layer":2},{"info":"number node, value=1048","layer":2},{"info":"compute binary expreesion, left_input=2398, right_input=1048, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=3461","layer":1},{"info":"compute binary expreesion, left_input=-239, right_input=3461, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3461","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲679⨰⫶⩼⫲793↺⫶⩼⫲A9D⋳⪒⫶⩼⫲49D=⫶⩼⫲105B","reverse_text":"⫶⩼⫲105B=⫶⩼⫲679⨰⫶⩼⫲793↺⫶⩼⫲A9D⋳⪒⫶⩼⫲49D","cot":[{"info":"⫶⩼⫲679⨰⫶⩼⫲793=⫶⩼⫲-10E","layer":1},{"info":"⫶⩼⫲A9D⋳⪒⫶⩼⫲49D=⫶⩼⫲105B","layer":1},{"info":"⫶⩼⫲-10E↺⫶⩼⫲105B=⫶⩼⫲105B","layer":0}]}
{"id":144,"expression_no_base_symbol":"(↩$1200$)≣⋋","expression":"(↩⫶⩼⫲550)≣⋋","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":530,"operation_count":2,"complexity_ratio":265.0,"tree":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":1200,"base":15}}},"used_operators":["Tcnh7f0tEr","jLgFTUHLKL"],"dependent_operators":["dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D"],"result":"⫶⩼⫲0","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1200","layer":2},{"info":"compute unary expreesion, input=1200, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-6820","layer":1},{"info":"compute unary expreesion, input=-6820, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":0}],"base":15,"result_base":15,"text":"(↩⫶⩼⫲550)≣⋋=⫶⩼⫲0","reverse_text":"⫶⩼⫲0=(↩⫶⩼⫲550)≣⋋","cot":[{"info":"↩⫶⩼⫲550=⫶⩼⫲-204A","layer":1},{"info":"⫶⩼⫲-204A≣⋋=⫶⩼⫲0","layer":0}]}
{"id":145,"expression_no_base_symbol":"($1113$⩠)⊉≛↸$1372$∼$1144$","expression":"(⫶⩼⫲4E3⩠)⊉≛↸⫶⩼⫲617∼⫶⩼⫲514","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":48,"operation_count":3,"complexity_ratio":16.0,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":1113,"base":15}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1372,"base":15},"right_expr":{"type":"numeric_atoms","value":1144,"base":15}}},"used_operators":["DZ8iAZOCBD","sJAwomhLZr","DyGG3AbaNP"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"⫶⩼⫲0","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1113","layer":2},{"info":"compute unary expreesion, input=1113, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":1},{"info":"number node, value=1372","layer":2},{"info":"number node, value=1144","layer":2},{"info":"compute binary expreesion, left_input=1372, right_input=1144, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=0","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲4E3⩠)⊉≛↸⫶⩼⫲617∼⫶⩼⫲514=⫶⩼⫲0","reverse_text":"⫶⩼⫲0=(⫶⩼⫲4E3⩠)⊉≛↸⫶⩼⫲617∼⫶⩼⫲514","cot":[{"info":"⫶⩼⫲4E3⩠=⫶⩼⫲0","layer":1},{"info":"⫶⩼⫲617∼⫶⩼⫲514=NaN","layer":1},{"info":"⫶⩼⫲0⊉≛↸NaN=⫶⩼⫲0","layer":0}]}
{"id":146,"expression_no_base_symbol":"$4394$⊭↱$1410$⊭↱(≦∁$6808$)","expression":"⫶⩼⫲147E⊭↱⫶⩼⫲640⊭↱(≦∁⫶⩼⫲203D)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":13,"operation_count":3,"complexity_ratio":4.333333333333333,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":4394,"base":15},"right_expr":{"type":"numeric_atoms","value":1410,"base":15}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":6808,"base":15}}},"used_operators":["COABgblf1C","9ICcGScMcE"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"⫶⩼⫲7882","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=4394","layer":2},{"info":"number node, value=1410","layer":2},{"info":"compute binary expreesion, left_input=4394, right_input=1410, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-5963","layer":1},{"info":"number node, value=6808","layer":2},{"info":"compute unary expreesion, input=6808, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=6808","layer":1},{"info":"compute binary expreesion, left_input=-5963, right_input=6808, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=25547","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲147E⊭↱⫶⩼⫲640⊭↱(≦∁⫶⩼⫲203D)=⫶⩼⫲7882","reverse_text":"⫶⩼⫲7882=⫶⩼⫲147E⊭↱⫶⩼⫲640⊭↱(≦∁⫶⩼⫲203D)","cot":[{"info":"⫶⩼⫲147E⊭↱⫶⩼⫲640=⫶⩼⫲-1B78","layer":1},{"info":"≦∁⫶⩼⫲203D=⫶⩼⫲203D","layer":1},{"info":"⫶⩼⫲-1B78⊭↱⫶⩼⫲203D=⫶⩼⫲7882","layer":0}]}
{"id":147,"expression_no_base_symbol":"≉($1538$⩨$1444$)","expression":"≉(⫶⩼⫲6C8⩨⫶⩼⫲664)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":6,"operation_count":2,"complexity_ratio":3.0,"tree":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1538,"base":15},"right_expr":{"type":"numeric_atoms","value":1444,"base":15}}},"used_operators":["e1ybzncUwg","2DlMacCsIx"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"⫶⩼⫲256","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1538","layer":2},{"info":"number node, value=1444","layer":2},{"info":"compute binary expreesion, left_input=1538, right_input=1444, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=531","layer":0}],"base":15,"result_base":15,"text":"≉(⫶⩼⫲6C8⩨⫶⩼⫲664)=⫶⩼⫲256","reverse_text":"⫶⩼⫲256=≉(⫶⩼⫲6C8⩨⫶⩼⫲664)","cot":[{"info":"⫶⩼⫲6C8⩨⫶⩼⫲664=⫶⩼⫲0","layer":1},{"info":"≉⫶⩼⫲0=⫶⩼⫲256","layer":0}]}
{"id":148,"expression_no_base_symbol":"($4035$⪒$2507$)∼($1058$⩷∴$1033$)","expression":"(⫶⩼⫲12E0⪒⫶⩼⫲B22)∼(⫶⩼⫲4A8⩷∴⫶⩼⫲48D)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":229,"operation_count":3,"complexity_ratio":76.33333333333333,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":4035,"base":15},"right_expr":{"type":"numeric_atoms","value":2507,"base":15}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1058,"base":15},"right_expr":{"type":"numeric_atoms","value":1033,"base":15}}},"used_operators":["DyGG3AbaNP","f6k1SAg4EE","9FxExcQeMw"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"⫶⩼⫲0","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=4035","layer":2},{"info":"number node, value=2507","layer":2},{"info":"compute binary expreesion, left_input=4035, right_input=2507, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-6542","layer":1},{"info":"number node, value=1058","layer":2},{"info":"number node, value=1033","layer":2},{"info":"compute binary expreesion, left_input=1058, right_input=1033, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=18","layer":1},{"info":"compute binary expreesion, left_input=-6542, right_input=18, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=0","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲12E0⪒⫶⩼⫲B22)∼(⫶⩼⫲4A8⩷∴⫶⩼⫲48D)=⫶⩼⫲0","reverse_text":"⫶⩼⫲0=(⫶⩼⫲12E0⪒⫶⩼⫲B22)∼(⫶⩼⫲4A8⩷∴⫶⩼⫲48D)","cot":[{"info":"⫶⩼⫲12E0⪒⫶⩼⫲B22=⫶⩼⫲-1E12","layer":1},{"info":"⫶⩼⫲4A8⩷∴⫶⩼⫲48D=⫶⩼⫲13","layer":1},{"info":"⫶⩼⫲-1E12∼⫶⩼⫲13=⫶⩼⫲0","layer":0}]}
{"id":149,"expression_no_base_symbol":"($3801$⊘)⪘⫢(≉$1492$)","expression":"(⫶⩼⫲11D6⊘)⪘⫢(≉⫶⩼⫲697)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":39,"operation_count":3,"complexity_ratio":13.0,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":3801,"base":15}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1492,"base":15}}},"used_operators":["oacrs7FA3X","gu96TGCTMs","e1ybzncUwg"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd"],"result":"⫶⩼⫲-521","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=3801","layer":2},{"info":"compute unary expreesion, input=3801, 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=1492","layer":2},{"info":"compute unary expreesion, input=1492, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=2023","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=2023, 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":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲11D6⊘)⪘⫢(≉⫶⩼⫲697)=⫶⩼⫲-521","reverse_text":"⫶⩼⫲-521=(⫶⩼⫲11D6⊘)⪘⫢(≉⫶⩼⫲697)","cot":[{"info":"⫶⩼⫲11D6⊘=⫶⩼⫲0","layer":1},{"info":"≉⫶⩼⫲697=⫶⩼⫲8ED","layer":1},{"info":"⫶⩼⫲0⪘⫢⫶⩼⫲8ED=⫶⩼⫲-521","layer":0}]}
{"id":150,"expression_no_base_symbol":"⨈⫕($3583$⫩⊇)","expression":"⨈⫕(⫶⩼⫲10DD⫩⊇)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":388,"operation_count":2,"complexity_ratio":194.0,"tree":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":3583,"base":15}}},"used_operators":["megm06wKyl","BjRHVeLaeN"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","t8gj7n24qd"],"result":"⫶⩼⫲-16","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=3583","layer":2},{"info":"compute unary expreesion, input=3583, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-3541","layer":1},{"info":"compute unary expreesion, input=-3541, 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":15,"result_base":15,"text":"⨈⫕(⫶⩼⫲10DD⫩⊇)=⫶⩼⫲-16","reverse_text":"⫶⩼⫲-16=⨈⫕(⫶⩼⫲10DD⫩⊇)","cot":[{"info":"⫶⩼⫲10DD⫩⊇=⫶⩼⫲-10B1","layer":1},{"info":"⨈⫕⫶⩼⫲-10B1=⫶⩼⫲-16","layer":0}]}
{"id":151,"expression_no_base_symbol":"($5384$⩨$4088$)⋳⪒($2072$⫥∨⫟$2702$)","expression":"(⫶⩼⫲18DE⩨⫶⩼⫲1328)⋳⪒(⫶⩼⫲932⫥∨⫟⫶⩼⫲C02)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":165,"operation_count":3,"complexity_ratio":55.0,"tree":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":5384,"base":15},"right_expr":{"type":"numeric_atoms","value":4088,"base":15}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2072,"base":15},"right_expr":{"type":"numeric_atoms","value":2702,"base":15}}},"used_operators":["12rbrZMWeM","2DlMacCsIx","KYD54nUTWz"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=5384","layer":2},{"info":"number node, value=4088","layer":2},{"info":"compute binary expreesion, left_input=5384, right_input=4088, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":1},{"info":"number node, value=2072","layer":2},{"info":"number node, value=2702","layer":2},{"info":"compute binary expreesion, left_input=2072, right_input=2702, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲18DE⩨⫶⩼⫲1328)⋳⪒(⫶⩼⫲932⫥∨⫟⫶⩼⫲C02)=NaN","reverse_text":"NaN=(⫶⩼⫲18DE⩨⫶⩼⫲1328)⋳⪒(⫶⩼⫲932⫥∨⫟⫶⩼⫲C02)","cot":[{"info":"⫶⩼⫲18DE⩨⫶⩼⫲1328=⫶⩼⫲0","layer":1},{"info":"⫶⩼⫲932⫥∨⫟⫶⩼⫲C02=NaN","layer":1},{"info":"⫶⩼⫲0⋳⪒NaN=NaN","layer":0}]}
{"id":152,"expression_no_base_symbol":"$1001$⇷$3549$/$2471$⩚⊴⇥$1547$","expression":"⫶⩼⫲46B⇷⫶⩼⫲10B9/⫶⩼⫲AEB⩚⊴⇥⫶⩼⫲6D2","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":14024,"operation_count":3,"complexity_ratio":4674.666666666667,"tree":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1001,"base":15},"right_expr":{"type":"numeric_atoms","value":3549,"base":15}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2471,"base":15},"right_expr":{"type":"numeric_atoms","value":1547,"base":15}}},"used_operators":["XhwjNDsVaA","mp7IySMOzn","NTOWxs364D"],"dependent_operators":["rysDP5nf3Z","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"⫶⩼⫲-2","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1001","layer":2},{"info":"number node, value=3549","layer":2},{"info":"compute binary expreesion, left_input=1001, right_input=3549, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=7098","layer":1},{"info":"number node, value=2471","layer":2},{"info":"number node, value=1547","layer":2},{"info":"compute binary expreesion, left_input=2471, right_input=1547, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4139","layer":1},{"info":"compute binary expreesion, left_input=7098, right_input=-4139, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-2","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲46B⇷⫶⩼⫲10B9/⫶⩼⫲AEB⩚⊴⇥⫶⩼⫲6D2=⫶⩼⫲-2","reverse_text":"⫶⩼⫲-2=⫶⩼⫲46B⇷⫶⩼⫲10B9/⫶⩼⫲AEB⩚⊴⇥⫶⩼⫲6D2","cot":[{"info":"⫶⩼⫲46B⇷⫶⩼⫲10B9=⫶⩼⫲2183","layer":1},{"info":"⫶⩼⫲AEB⩚⊴⇥⫶⩼⫲6D2=⫶⩼⫲-135E","layer":1},{"info":"⫶⩼⫲2183/⫶⩼⫲-135E=⫶⩼⫲-2","layer":0}]}
{"id":153,"expression_no_base_symbol":"($4559$≋⫹)⨪↰⇹($1094$≎⊠⪸$1546$)","expression":"(⫶⩼⫲153E≋⫹)⨪↰⇹(⫶⩼⫲4CE≎⊠⪸⫶⩼⫲6D1)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":9391,"operation_count":3,"complexity_ratio":3130.3333333333335,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":4559,"base":15}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1094,"base":15},"right_expr":{"type":"numeric_atoms","value":1546,"base":15}}},"used_operators":["tmPS8pqC7x","N41Kp7NANJ","bJkvcejdHO"],"dependent_operators":["rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"⫶⩼⫲-2A7D","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=4559","layer":2},{"info":"compute unary expreesion, input=4559, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-9118","layer":1},{"info":"number node, value=1094","layer":2},{"info":"number node, value=1546","layer":2},{"info":"compute binary expreesion, left_input=1094, right_input=1546, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=282873","layer":1},{"info":"compute binary expreesion, left_input=-9118, right_input=282873, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=-9118","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲153E≋⫹)⨪↰⇹(⫶⩼⫲4CE≎⊠⪸⫶⩼⫲6D1)=⫶⩼⫲-2A7D","reverse_text":"⫶⩼⫲-2A7D=(⫶⩼⫲153E≋⫹)⨪↰⇹(⫶⩼⫲4CE≎⊠⪸⫶⩼⫲6D1)","cot":[{"info":"⫶⩼⫲153E≋⫹=⫶⩼⫲-2A7D","layer":1},{"info":"⫶⩼⫲4CE≎⊠⪸⫶⩼⫲6D1=⫶⩼⫲58C33","layer":1},{"info":"⫶⩼⫲-2A7D⨪↰⇹⫶⩼⫲58C33=⫶⩼⫲-2A7D","layer":0}]}
{"id":154,"expression_no_base_symbol":"(∂$1734$)⨰($1115$⪨≂$4344$)","expression":"(∂⫶⩼⫲7A9)⨰(⫶⩼⫲4E5⪨≂⫶⩼⫲1449)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":12,"operation_count":3,"complexity_ratio":4.0,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":1734,"base":15}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1115,"base":15},"right_expr":{"type":"numeric_atoms","value":4344,"base":15}}},"used_operators":["eewbuw0ToL","Uaa54Peajs","sdazOOVcIp"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1734","layer":2},{"info":"compute unary expreesion, input=1734, 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=1115","layer":2},{"info":"number node, value=4344","layer":2},{"info":"compute binary expreesion, left_input=1115, right_input=4344, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-6356","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-6356, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"(∂⫶⩼⫲7A9)⨰(⫶⩼⫲4E5⪨≂⫶⩼⫲1449)=NaN","reverse_text":"NaN=(∂⫶⩼⫲7A9)⨰(⫶⩼⫲4E5⪨≂⫶⩼⫲1449)","cot":[{"info":"∂⫶⩼⫲7A9=NaN","layer":1},{"info":"⫶⩼⫲4E5⪨≂⫶⩼⫲1449=⫶⩼⫲-1D3B","layer":1},{"info":"NaN⨰⫶⩼⫲-1D3B=NaN","layer":0}]}
{"id":155,"expression_no_base_symbol":"$1592$⨓$5474$⋷$2496$⫸⊐$1787$","expression":"⫶⩼⫲712⨓⫶⩼⫲194E⋷⫶⩼⫲B16⫸⊐⫶⩼⫲7E2","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5506,"operation_count":3,"complexity_ratio":1835.3333333333333,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1592,"base":15},"right_expr":{"type":"numeric_atoms","value":5474,"base":15}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2496,"base":15},"right_expr":{"type":"numeric_atoms","value":1787,"base":15}}},"used_operators":["23Mk6UjR3U","3ViojmjbAp","mqXw5SEYmG"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"⫶⩼⫲33A4","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1592","layer":2},{"info":"number node, value=5474","layer":2},{"info":"compute binary expreesion, left_input=1592, right_input=5474, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-5477","layer":1},{"info":"number node, value=2496","layer":2},{"info":"number node, value=1787","layer":2},{"info":"compute binary expreesion, left_input=2496, right_input=1787, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=7023","layer":1},{"info":"compute binary expreesion, left_input=-5477, right_input=7023, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=10954","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲712⨓⫶⩼⫲194E⋷⫶⩼⫲B16⫸⊐⫶⩼⫲7E2=⫶⩼⫲33A4","reverse_text":"⫶⩼⫲33A4=⫶⩼⫲712⨓⫶⩼⫲194E⋷⫶⩼⫲B16⫸⊐⫶⩼⫲7E2","cot":[{"info":"⫶⩼⫲712⨓⫶⩼⫲194E=⫶⩼⫲-1952","layer":1},{"info":"⫶⩼⫲B16⫸⊐⫶⩼⫲7E2=⫶⩼⫲2133","layer":1},{"info":"⫶⩼⫲-1952⋷⫶⩼⫲2133=⫶⩼⫲33A4","layer":0}]}
{"id":156,"expression_no_base_symbol":"(⨈⫕$2106$)-$2785$⪘⫢$1868$","expression":"(⨈⫕⫶⩼⫲956)-⫶⩼⫲C5A⪘⫢⫶⩼⫲848","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":402,"operation_count":3,"complexity_ratio":134.0,"tree":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":2106,"base":15}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2785,"base":15},"right_expr":{"type":"numeric_atoms","value":1868,"base":15}}},"used_operators":["rysDP5nf3Z","megm06wKyl","oacrs7FA3X"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"⫶⩼⫲-1947","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2106","layer":2},{"info":"compute unary expreesion, input=2106, 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=2785","layer":2},{"info":"number node, value=1868","layer":2},{"info":"compute binary expreesion, left_input=2785, right_input=1868, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=5446","layer":1},{"info":"compute binary expreesion, left_input=-21, right_input=5446, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-5467","layer":0}],"base":15,"result_base":15,"text":"(⨈⫕⫶⩼⫲956)-⫶⩼⫲C5A⪘⫢⫶⩼⫲848=⫶⩼⫲-1947","reverse_text":"⫶⩼⫲-1947=(⨈⫕⫶⩼⫲956)-⫶⩼⫲C5A⪘⫢⫶⩼⫲848","cot":[{"info":"⨈⫕⫶⩼⫲956=⫶⩼⫲-16","layer":1},{"info":"⫶⩼⫲C5A⪘⫢⫶⩼⫲848=⫶⩼⫲1931","layer":1},{"info":"⫶⩼⫲-16-⫶⩼⫲1931=⫶⩼⫲-1947","layer":0}]}
{"id":157,"expression_no_base_symbol":"$1311$≎⊠⪸$4739$⊘","expression":"⫶⩼⫲5C6≎⊠⪸⫶⩼⫲160E⊘","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":289,"operation_count":2,"complexity_ratio":144.5,"tree":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1311,"base":15},"right_expr":{"type":"numeric_atoms","value":4739,"base":15}}},"used_operators":["gu96TGCTMs","bJkvcejdHO"],"dependent_operators":["XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"⫶⩼⫲0","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1311","layer":2},{"info":"number node, value=4739","layer":2},{"info":"compute binary expreesion, left_input=1311, right_input=4739, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=339076","layer":1},{"info":"compute unary expreesion, input=339076, 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":15,"result_base":15,"text":"⫶⩼⫲5C6≎⊠⪸⫶⩼⫲160E⊘=⫶⩼⫲0","reverse_text":"⫶⩼⫲0=⫶⩼⫲5C6≎⊠⪸⫶⩼⫲160E⊘","cot":[{"info":"⫶⩼⫲5C6≎⊠⪸⫶⩼⫲160E=⫶⩼⫲6A701","layer":1},{"info":"⫶⩼⫲6A701⊘=⫶⩼⫲0","layer":0}]}
{"id":158,"expression_no_base_symbol":"$1214$⨓$1804$∲⫓$3670$⪄$4392$","expression":"⫶⩼⫲55E⨓⫶⩼⫲804∲⫓⫶⩼⫲114A⪄⫶⩼⫲147C","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1906,"operation_count":3,"complexity_ratio":635.3333333333334,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1214,"base":15},"right_expr":{"type":"numeric_atoms","value":1804,"base":15}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":3670,"base":15},"right_expr":{"type":"numeric_atoms","value":4392,"base":15}}},"used_operators":["i8ToyICDmI","3ViojmjbAp","SUmda5xLS4"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"⫶⩼⫲-807","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1214","layer":2},{"info":"number node, value=1804","layer":2},{"info":"compute binary expreesion, left_input=1214, right_input=1804, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1807","layer":1},{"info":"number node, value=3670","layer":2},{"info":"number node, value=4392","layer":2},{"info":"compute binary expreesion, left_input=3670, right_input=4392, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-556817","layer":1},{"info":"compute binary expreesion, left_input=-1807, right_input=-556817, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=-1807","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲55E⨓⫶⩼⫲804∲⫓⫶⩼⫲114A⪄⫶⩼⫲147C=⫶⩼⫲-807","reverse_text":"⫶⩼⫲-807=⫶⩼⫲55E⨓⫶⩼⫲804∲⫓⫶⩼⫲114A⪄⫶⩼⫲147C","cot":[{"info":"⫶⩼⫲55E⨓⫶⩼⫲804=⫶⩼⫲-807","layer":1},{"info":"⫶⩼⫲114A⪄⫶⩼⫲147C=⫶⩼⫲-AEEB2","layer":1},{"info":"⫶⩼⫲-807∲⫓⫶⩼⫲-AEEB2=⫶⩼⫲-807","layer":0}]}
{"id":159,"expression_no_base_symbol":"(⨑⩽⪐$6094$)⨵⪆$2805$⪛$2093$","expression":"(⨑⩽⪐⫶⩼⫲1C14)⨵⪆⫶⩼⫲C70⪛⫶⩼⫲948","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":9,"operation_count":3,"complexity_ratio":3.0,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":6094,"base":15}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2805,"base":15},"right_expr":{"type":"numeric_atoms","value":2093,"base":15}}},"used_operators":["2DQ55sFlQl","AF7qkfDlqP","uFcxV4UQCh"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"⫶⩼⫲AA","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=6094","layer":2},{"info":"compute unary expreesion, input=6094, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-5821","layer":1},{"info":"number node, value=2805","layer":2},{"info":"number node, value=2093","layer":2},{"info":"compute binary expreesion, left_input=2805, right_input=2093, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=712","layer":1},{"info":"compute binary expreesion, left_input=-5821, right_input=712, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":15,"result_base":15,"text":"(⨑⩽⪐⫶⩼⫲1C14)⨵⪆⫶⩼⫲C70⪛⫶⩼⫲948=⫶⩼⫲AA","reverse_text":"⫶⩼⫲AA=(⨑⩽⪐⫶⩼⫲1C14)⨵⪆⫶⩼⫲C70⪛⫶⩼⫲948","cot":[{"info":"⨑⩽⪐⫶⩼⫲1C14=⫶⩼⫲-1AD1","layer":1},{"info":"⫶⩼⫲C70⪛⫶⩼⫲948=⫶⩼⫲327","layer":1},{"info":"⫶⩼⫲-1AD1⨵⪆⫶⩼⫲327=⫶⩼⫲AA","layer":0}]}
{"id":160,"expression_no_base_symbol":"⨞⊢($4717$≋⫹)","expression":"⨞⊢(⫶⩼⫲15E7≋⫹)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5,"operation_count":2,"complexity_ratio":2.5,"tree":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":4717,"base":15}}},"used_operators":["xUOZtlo3hN","N41Kp7NANJ"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⫶⩼⫲2B25","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=4717","layer":2},{"info":"compute unary expreesion, input=4717, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-9434","layer":1},{"info":"compute unary expreesion, input=-9434, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=9260","layer":0}],"base":15,"result_base":15,"text":"⨞⊢(⫶⩼⫲15E7≋⫹)=⫶⩼⫲2B25","reverse_text":"⫶⩼⫲2B25=⨞⊢(⫶⩼⫲15E7≋⫹)","cot":[{"info":"⫶⩼⫲15E7≋⫹=⫶⩼⫲-2BDE","layer":1},{"info":"⨞⊢⫶⩼⫲-2BDE=⫶⩼⫲2B25","layer":0}]}
{"id":161,"expression_no_base_symbol":"(⨵≀≌$2145$)∀⇚≩(⇁⨣⪵$2260$)","expression":"(⨵≀≌⫶⩼⫲980)∀⇚≩(⇁⨣⪵⫶⩼⫲A0A)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":45049,"operation_count":3,"complexity_ratio":15016.333333333334,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":2145,"base":15}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":2260,"base":15}}},"used_operators":["LRNGc0VcxI","srAu1WTS94","inkyxCbjAn"],"dependent_operators":["X99M06cbEe","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","B5M0gjZbta"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2145","layer":2},{"info":"compute unary expreesion, input=2145, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-6435","layer":1},{"info":"number node, value=2260","layer":2},{"info":"compute unary expreesion, input=2260, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-6435, 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":15,"result_base":15,"text":"(⨵≀≌⫶⩼⫲980)∀⇚≩(⇁⨣⪵⫶⩼⫲A0A)=NaN","reverse_text":"NaN=(⨵≀≌⫶⩼⫲980)∀⇚≩(⇁⨣⪵⫶⩼⫲A0A)","cot":[{"info":"⨵≀≌⫶⩼⫲980=⫶⩼⫲-1D90","layer":1},{"info":"⇁⨣⪵⫶⩼⫲A0A=NaN","layer":1},{"info":"⫶⩼⫲-1D90∀⇚≩NaN=NaN","layer":0}]}
{"id":162,"expression_no_base_symbol":"($5569$⫡⨏$4828$)+⇶⊼$7024$⨓$3872$","expression":"(⫶⩼⫲19B4⫡⨏⫶⩼⫲166D)+⇶⊼⫶⩼⫲2134⨓⫶⩼⫲1232","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3886,"operation_count":3,"complexity_ratio":1295.3333333333333,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":5569,"base":15},"right_expr":{"type":"numeric_atoms","value":4828,"base":15}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":7024,"base":15},"right_expr":{"type":"numeric_atoms","value":3872,"base":15}}},"used_operators":["TpPTUOHfaN","QMFrweE19q","3ViojmjbAp"],"dependent_operators":["AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=5569","layer":2},{"info":"number node, value=4828","layer":2},{"info":"compute binary expreesion, left_input=5569, right_input=4828, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=38284","layer":1},{"info":"number node, value=7024","layer":2},{"info":"number node, value=3872","layer":2},{"info":"compute binary expreesion, left_input=7024, right_input=3872, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3875","layer":1},{"info":"compute binary expreesion, left_input=38284, right_input=-3875, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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":15,"result_base":15,"text":"(⫶⩼⫲19B4⫡⨏⫶⩼⫲166D)+⇶⊼⫶⩼⫲2134⨓⫶⩼⫲1232=NaN","reverse_text":"NaN=(⫶⩼⫲19B4⫡⨏⫶⩼⫲166D)+⇶⊼⫶⩼⫲2134⨓⫶⩼⫲1232","cot":[{"info":"⫶⩼⫲19B4⫡⨏⫶⩼⫲166D=⫶⩼⫲B524","layer":1},{"info":"⫶⩼⫲2134⨓⫶⩼⫲1232=⫶⩼⫲-1235","layer":1},{"info":"⫶⩼⫲B524+⇶⊼⫶⩼⫲-1235=NaN","layer":0}]}
{"id":163,"expression_no_base_symbol":"+⊝⨔($3536$/$3362$)","expression":"+⊝⨔(⫶⩼⫲10AB/⫶⩼⫲EE2)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":21,"operation_count":2,"complexity_ratio":10.5,"tree":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":3536,"base":15},"right_expr":{"type":"numeric_atoms","value":3362,"base":15}}},"used_operators":["DhbWaqg5eL","XhwjNDsVaA"],"dependent_operators":["dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z"],"result":"⫶⩼⫲6B7","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=3536","layer":2},{"info":"number node, value=3362","layer":2},{"info":"compute binary expreesion, left_input=3536, right_input=3362, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":1},{"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":0}],"base":15,"result_base":15,"text":"+⊝⨔(⫶⩼⫲10AB/⫶⩼⫲EE2)=⫶⩼⫲6B7","reverse_text":"⫶⩼⫲6B7=+⊝⨔(⫶⩼⫲10AB/⫶⩼⫲EE2)","cot":[{"info":"⫶⩼⫲10AB/⫶⩼⫲EE2=⫶⩼⫲1","layer":1},{"info":"+⊝⨔⫶⩼⫲1=⫶⩼⫲6B7","layer":0}]}
{"id":164,"expression_no_base_symbol":"$4796$⩨$6312$⊭↱(+⊝⨔$1262$)","expression":"⫶⩼⫲164B⩨⫶⩼⫲1D0C⊭↱(+⊝⨔⫶⩼⫲592)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":50,"operation_count":3,"complexity_ratio":16.666666666666668,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":4796,"base":15},"right_expr":{"type":"numeric_atoms","value":6312,"base":15}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":1262,"base":15}}},"used_operators":["COABgblf1C","2DlMacCsIx","DhbWaqg5eL"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"⫶⩼⫲D8A","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=4796","layer":2},{"info":"number node, value=6312","layer":2},{"info":"compute binary expreesion, left_input=4796, right_input=6312, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":1},{"info":"number node, value=1262","layer":2},{"info":"compute unary expreesion, input=1262, op_id = 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=-3, right_input=1522, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=3055","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲164B⩨⫶⩼⫲1D0C⊭↱(+⊝⨔⫶⩼⫲592)=⫶⩼⫲D8A","reverse_text":"⫶⩼⫲D8A=⫶⩼⫲164B⩨⫶⩼⫲1D0C⊭↱(+⊝⨔⫶⩼⫲592)","cot":[{"info":"⫶⩼⫲164B⩨⫶⩼⫲1D0C=⫶⩼⫲-3","layer":1},{"info":"+⊝⨔⫶⩼⫲592=⫶⩼⫲6B7","layer":1},{"info":"⫶⩼⫲-3⊭↱⫶⩼⫲6B7=⫶⩼⫲D8A","layer":0}]}
{"id":165,"expression_no_base_symbol":"⊄⩳↩($1028$⨰$5366$)","expression":"⊄⩳↩(⫶⩼⫲488⨰⫶⩼⫲18CB)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":9,"operation_count":2,"complexity_ratio":4.5,"tree":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1028,"base":15},"right_expr":{"type":"numeric_atoms","value":5366,"base":15}}},"used_operators":["8w2t5hMYqp","eewbuw0ToL"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫶⩼⫲3CA9","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1028","layer":2},{"info":"number node, value=5366","layer":2},{"info":"compute binary expreesion, left_input=1028, right_input=5366, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-4328","layer":1},{"info":"compute unary expreesion, input=-4328, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=12984","layer":0}],"base":15,"result_base":15,"text":"⊄⩳↩(⫶⩼⫲488⨰⫶⩼⫲18CB)=⫶⩼⫲3CA9","reverse_text":"⫶⩼⫲3CA9=⊄⩳↩(⫶⩼⫲488⨰⫶⩼⫲18CB)","cot":[{"info":"⫶⩼⫲488⨰⫶⩼⫲18CB=⫶⩼⫲-1438","layer":1},{"info":"⊄⩳↩⫶⩼⫲-1438=⫶⩼⫲3CA9","layer":0}]}
{"id":166,"expression_no_base_symbol":"⨰⫟⨤($6320$⋝⋈⪟$1161$)","expression":"⨰⫟⨤(⫶⩼⫲1D15⋝⋈⪟⫶⩼⫲526)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":24443,"operation_count":2,"complexity_ratio":12221.5,"tree":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":6320,"base":15},"right_expr":{"type":"numeric_atoms","value":1161,"base":15}}},"used_operators":["Tw270M8GLb","2DDjHMKMc0"],"dependent_operators":["sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=6320","layer":2},{"info":"number node, value=1161","layer":2},{"info":"compute binary expreesion, left_input=6320, right_input=1161, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=6320","layer":1},{"info":"compute unary expreesion, input=6320, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"⨰⫟⨤(⫶⩼⫲1D15⋝⋈⪟⫶⩼⫲526)=NaN","reverse_text":"NaN=⨰⫟⨤(⫶⩼⫲1D15⋝⋈⪟⫶⩼⫲526)","cot":[{"info":"⫶⩼⫲1D15⋝⋈⪟⫶⩼⫲526=⫶⩼⫲1D15","layer":1},{"info":"⨰⫟⨤⫶⩼⫲1D15=NaN","layer":0}]}
{"id":167,"expression_no_base_symbol":"(≦∁$4644$)-$8315$⨟⋌⩍$4996$","expression":"(≦∁⫶⩼⫲1599)-⫶⩼⫲26E5⨟⋌⩍⫶⩼⫲1731","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3,"operation_count":3,"complexity_ratio":1.0,"tree":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":4644,"base":15}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":8315,"base":15},"right_expr":{"type":"numeric_atoms","value":4996,"base":15}}},"used_operators":["rysDP5nf3Z","9ICcGScMcE","rGHVDoGpnC"],"dependent_operators":["XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=4644","layer":2},{"info":"compute unary expreesion, input=4644, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=4644","layer":1},{"info":"number node, value=8315","layer":2},{"info":"number node, value=4996","layer":2},{"info":"compute binary expreesion, left_input=8315, right_input=4996, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=4644, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":15,"result_base":15,"text":"(≦∁⫶⩼⫲1599)-⫶⩼⫲26E5⨟⋌⩍⫶⩼⫲1731=NaN","reverse_text":"NaN=(≦∁⫶⩼⫲1599)-⫶⩼⫲26E5⨟⋌⩍⫶⩼⫲1731","cot":[{"info":"≦∁⫶⩼⫲1599=⫶⩼⫲1599","layer":1},{"info":"⫶⩼⫲26E5⨟⋌⩍⫶⩼⫲1731=NaN","layer":1},{"info":"⫶⩼⫲1599-NaN=NaN","layer":0}]}
{"id":168,"expression_no_base_symbol":"($1664$⊉≛↸$6735$)⨓(⨑⩽⪐$2538$)","expression":"(⫶⩼⫲75E⊉≛↸⫶⩼⫲1EE0)⨓(⨑⩽⪐⫶⩼⫲B43)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2277,"operation_count":3,"complexity_ratio":759.0,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1664,"base":15},"right_expr":{"type":"numeric_atoms","value":6735,"base":15}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":2538,"base":15}}},"used_operators":["3ViojmjbAp","DZ8iAZOCBD","AF7qkfDlqP"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"⫶⩼⫲-A13","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1664","layer":2},{"info":"number node, value=6735","layer":2},{"info":"compute binary expreesion, left_input=1664, right_input=6735, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3328","layer":1},{"info":"number node, value=2538","layer":2},{"info":"compute unary expreesion, input=2538, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-2265","layer":1},{"info":"compute binary expreesion, left_input=3328, right_input=-2265, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2268","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲75E⊉≛↸⫶⩼⫲1EE0)⨓(⨑⩽⪐⫶⩼⫲B43)=⫶⩼⫲-A13","reverse_text":"⫶⩼⫲-A13=(⫶⩼⫲75E⊉≛↸⫶⩼⫲1EE0)⨓(⨑⩽⪐⫶⩼⫲B43)","cot":[{"info":"⫶⩼⫲75E⊉≛↸⫶⩼⫲1EE0=⫶⩼⫲EBD","layer":1},{"info":"⨑⩽⪐⫶⩼⫲B43=⫶⩼⫲-A10","layer":1},{"info":"⫶⩼⫲EBD⨓⫶⩼⫲-A10=⫶⩼⫲-A13","layer":0}]}
{"id":169,"expression_no_base_symbol":"($4247$⪒$1102$)⋳⪒(+⊝⨔$4727$)","expression":"(⫶⩼⫲13D2⪒⫶⩼⫲4D7)⋳⪒(+⊝⨔⫶⩼⫲1602)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":50,"operation_count":3,"complexity_ratio":16.666666666666668,"tree":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":4247,"base":15},"right_expr":{"type":"numeric_atoms","value":1102,"base":15}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":4727,"base":15}}},"used_operators":["12rbrZMWeM","f6k1SAg4EE","DhbWaqg5eL"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"⫶⩼⫲-3A8C","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=4247","layer":2},{"info":"number node, value=1102","layer":2},{"info":"compute binary expreesion, left_input=4247, right_input=1102, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5349","layer":1},{"info":"number node, value=4727","layer":2},{"info":"compute unary expreesion, input=4727, op_id = 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=-5349, right_input=1522, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-12507","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲13D2⪒⫶⩼⫲4D7)⋳⪒(+⊝⨔⫶⩼⫲1602)=⫶⩼⫲-3A8C","reverse_text":"⫶⩼⫲-3A8C=(⫶⩼⫲13D2⪒⫶⩼⫲4D7)⋳⪒(+⊝⨔⫶⩼⫲1602)","cot":[{"info":"⫶⩼⫲13D2⪒⫶⩼⫲4D7=⫶⩼⫲-18B9","layer":1},{"info":"+⊝⨔⫶⩼⫲1602=⫶⩼⫲6B7","layer":1},{"info":"⫶⩼⫲-18B9⋳⪒⫶⩼⫲6B7=⫶⩼⫲-3A8C","layer":0}]}
{"id":170,"expression_no_base_symbol":"($1827$⨸⪁$3457$)⩷∴($8087$⊭∹↮)","expression":"(⫶⩼⫲81C⨸⪁⫶⩼⫲1057)⩷∴(⫶⩼⫲25E2⊭∹↮)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":15,"operation_count":3,"complexity_ratio":5.0,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1827,"base":15},"right_expr":{"type":"numeric_atoms","value":3457,"base":15}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":8087,"base":15}}},"used_operators":["9FxExcQeMw","g55IO6H4Gj","xNBdhnnwKq"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C"],"result":"⫶⩼⫲-34E9","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1827","layer":2},{"info":"number node, value=3457","layer":2},{"info":"compute binary expreesion, left_input=1827, right_input=3457, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=10568","layer":1},{"info":"number node, value=8087","layer":2},{"info":"compute unary expreesion, input=8087, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=16174","layer":1},{"info":"compute binary expreesion, left_input=10568, right_input=16174, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-11244","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲81C⨸⪁⫶⩼⫲1057)⩷∴(⫶⩼⫲25E2⊭∹↮)=⫶⩼⫲-34E9","reverse_text":"⫶⩼⫲-34E9=(⫶⩼⫲81C⨸⪁⫶⩼⫲1057)⩷∴(⫶⩼⫲25E2⊭∹↮)","cot":[{"info":"⫶⩼⫲81C⨸⪁⫶⩼⫲1057=⫶⩼⫲31E8","layer":1},{"info":"⫶⩼⫲25E2⊭∹↮=⫶⩼⫲4BD4","layer":1},{"info":"⫶⩼⫲31E8⩷∴⫶⩼⫲4BD4=⫶⩼⫲-34E9","layer":0}]}
{"id":171,"expression_no_base_symbol":"(⊄⩳↩$6960$)⨐⩸⫘$3293$⪛$8061$","expression":"(⊄⩳↩⫶⩼⫲20E0)⨐⩸⫘⫶⩼⫲E98⪛⫶⩼⫲25C6","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":8,"operation_count":3,"complexity_ratio":2.6666666666666665,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":6960,"base":15}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":3293,"base":15},"right_expr":{"type":"numeric_atoms","value":8061,"base":15}}},"used_operators":["fu6greOZ01","8w2t5hMYqp","uFcxV4UQCh"],"dependent_operators":["3ViojmjbAp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=6960","layer":2},{"info":"compute unary expreesion, input=6960, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-20880","layer":1},{"info":"number node, value=3293","layer":2},{"info":"number node, value=8061","layer":2},{"info":"compute binary expreesion, left_input=3293, right_input=8061, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=3293","layer":1},{"info":"compute binary expreesion, left_input=-20880, right_input=3293, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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":15,"result_base":15,"text":"(⊄⩳↩⫶⩼⫲20E0)⨐⩸⫘⫶⩼⫲E98⪛⫶⩼⫲25C6=NaN","reverse_text":"NaN=(⊄⩳↩⫶⩼⫲20E0)⨐⩸⫘⫶⩼⫲E98⪛⫶⩼⫲25C6","cot":[{"info":"⊄⩳↩⫶⩼⫲20E0=⫶⩼⫲-62C0","layer":1},{"info":"⫶⩼⫲E98⪛⫶⩼⫲25C6=⫶⩼⫲E98","layer":1},{"info":"⫶⩼⫲-62C0⨐⩸⫘⫶⩼⫲E98=NaN","layer":0}]}
{"id":172,"expression_no_base_symbol":"+⊝⨔($1336$⪄$2412$)","expression":"+⊝⨔(⫶⩼⫲5E1⪄⫶⩼⫲AAC)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":115,"operation_count":2,"complexity_ratio":57.5,"tree":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1336,"base":15},"right_expr":{"type":"numeric_atoms","value":2412,"base":15}}},"used_operators":["DhbWaqg5eL","SUmda5xLS4"],"dependent_operators":["dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"⫶⩼⫲6B7","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1336","layer":2},{"info":"number node, value=2412","layer":2},{"info":"compute binary expreesion, left_input=1336, right_input=2412, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-203465","layer":1},{"info":"compute unary expreesion, input=-203465, op_id = 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":15,"result_base":15,"text":"+⊝⨔(⫶⩼⫲5E1⪄⫶⩼⫲AAC)=⫶⩼⫲6B7","reverse_text":"⫶⩼⫲6B7=+⊝⨔(⫶⩼⫲5E1⪄⫶⩼⫲AAC)","cot":[{"info":"⫶⩼⫲5E1⪄⫶⩼⫲AAC=⫶⩼⫲-40445","layer":1},{"info":"+⊝⨔⫶⩼⫲-40445=⫶⩼⫲6B7","layer":0}]}
{"id":173,"expression_no_base_symbol":"$3413$⋝⋈⪟$2132$/(⨰⫟⨤$1292$)","expression":"⫶⩼⫲1028⋝⋈⪟⫶⩼⫲972/(⨰⫟⨤⫶⩼⫲5B2)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4332,"operation_count":3,"complexity_ratio":1444.0,"tree":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":3413,"base":15},"right_expr":{"type":"numeric_atoms","value":2132,"base":15}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":1292,"base":15}}},"used_operators":["XhwjNDsVaA","2DDjHMKMc0","Tw270M8GLb"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=3413","layer":2},{"info":"number node, value=2132","layer":2},{"info":"compute binary expreesion, left_input=3413, right_input=2132, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3413","layer":1},{"info":"number node, value=1292","layer":2},{"info":"compute unary expreesion, input=1292, 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=3413, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲1028⋝⋈⪟⫶⩼⫲972/(⨰⫟⨤⫶⩼⫲5B2)=NaN","reverse_text":"NaN=⫶⩼⫲1028⋝⋈⪟⫶⩼⫲972/(⨰⫟⨤⫶⩼⫲5B2)","cot":[{"info":"⫶⩼⫲1028⋝⋈⪟⫶⩼⫲972=⫶⩼⫲1028","layer":1},{"info":"⨰⫟⨤⫶⩼⫲5B2=NaN","layer":1},{"info":"⫶⩼⫲1028/NaN=NaN","layer":0}]}
{"id":174,"expression_no_base_symbol":"$3425$*$2435$⪨≂$1361$∲⫓$3842$","expression":"⫶⩼⫲1035*⫶⩼⫲AC5⪨≂⫶⩼⫲60B∲⫓⫶⩼⫲1212","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2442,"operation_count":3,"complexity_ratio":814.0,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":3425,"base":15},"right_expr":{"type":"numeric_atoms","value":2435,"base":15}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1361,"base":15},"right_expr":{"type":"numeric_atoms","value":3842,"base":15}}},"used_operators":["sdazOOVcIp","9HNa5Wba9A","i8ToyICDmI"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd"],"result":"⫶⩼⫲16E72A2","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=3425","layer":2},{"info":"number node, value=2435","layer":2},{"info":"compute binary expreesion, left_input=3425, right_input=2435, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=8339875","layer":1},{"info":"number node, value=1361","layer":2},{"info":"number node, value=3842","layer":2},{"info":"compute binary expreesion, left_input=1361, right_input=3842, 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=8339875, 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=16679852","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲1035*⫶⩼⫲AC5⪨≂⫶⩼⫲60B∲⫓⫶⩼⫲1212=⫶⩼⫲16E72A2","reverse_text":"⫶⩼⫲16E72A2=⫶⩼⫲1035*⫶⩼⫲AC5⪨≂⫶⩼⫲60B∲⫓⫶⩼⫲1212","cot":[{"info":"⫶⩼⫲1035*⫶⩼⫲AC5=⫶⩼⫲AEB11A","layer":1},{"info":"⫶⩼⫲60B∲⫓⫶⩼⫲1212=⫶⩼⫲0","layer":1},{"info":"⫶⩼⫲AEB11A⪨≂⫶⩼⫲0=⫶⩼⫲16E72A2","layer":0}]}
{"id":175,"expression_no_base_symbol":"$4875$⪮%⊝$1775$≧⫂∧($1226$⩨$1199$)","expression":"⫶⩼⫲16A0⪮%⊝⫶⩼⫲7D5≧⫂∧(⫶⩼⫲56B⩨⫶⩼⫲54E)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":14,"operation_count":3,"complexity_ratio":4.666666666666667,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":4875,"base":15},"right_expr":{"type":"numeric_atoms","value":1775,"base":15}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1226,"base":15},"right_expr":{"type":"numeric_atoms","value":1199,"base":15}}},"used_operators":["Ph9nP6C5qx","IWmyXbctLI","2DlMacCsIx"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"⫶⩼⫲-218","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=4875","layer":2},{"info":"number node, value=1775","layer":2},{"info":"compute binary expreesion, left_input=4875, right_input=1775, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=10066","layer":1},{"info":"number node, value=1226","layer":2},{"info":"number node, value=1199","layer":2},{"info":"compute binary expreesion, left_input=1226, right_input=1199, 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=10066, right_input=0, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-473","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲16A0⪮%⊝⫶⩼⫲7D5≧⫂∧(⫶⩼⫲56B⩨⫶⩼⫲54E)=⫶⩼⫲-218","reverse_text":"⫶⩼⫲-218=⫶⩼⫲16A0⪮%⊝⫶⩼⫲7D5≧⫂∧(⫶⩼⫲56B⩨⫶⩼⫲54E)","cot":[{"info":"⫶⩼⫲16A0⪮%⊝⫶⩼⫲7D5=⫶⩼⫲2EB1","layer":1},{"info":"⫶⩼⫲56B⩨⫶⩼⫲54E=⫶⩼⫲0","layer":1},{"info":"⫶⩼⫲2EB1≧⫂∧⫶⩼⫲0=⫶⩼⫲-218","layer":0}]}
{"id":176,"expression_no_base_symbol":"⨰⫟⨤$3027$∼$2904$","expression":"⨰⫟⨤⫶⩼⫲D6C∼⫶⩼⫲CD9","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":90,"operation_count":2,"complexity_ratio":45.0,"tree":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":3027,"base":15},"right_expr":{"type":"numeric_atoms","value":2904,"base":15}}},"used_operators":["Tw270M8GLb","DyGG3AbaNP"],"dependent_operators":["sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=3027","layer":2},{"info":"number node, value=2904","layer":2},{"info":"compute binary expreesion, left_input=3027, right_input=2904, 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 = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"⨰⫟⨤⫶⩼⫲D6C∼⫶⩼⫲CD9=NaN","reverse_text":"NaN=⨰⫟⨤⫶⩼⫲D6C∼⫶⩼⫲CD9","cot":[{"info":"⫶⩼⫲D6C∼⫶⩼⫲CD9=NaN","layer":1},{"info":"⨰⫟⨤NaN=NaN","layer":0}]}
{"id":177,"expression_no_base_symbol":"($3585$⨵⪆$1109$)∀⇚≩($1616$≎⊠⪸$5643$)","expression":"(⫶⩼⫲10E0⨵⪆⫶⩼⫲4DE)∀⇚≩(⫶⩼⫲72B≎⊠⪸⫶⩼⫲1A13)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1391,"operation_count":3,"complexity_ratio":463.6666666666667,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":3585,"base":15},"right_expr":{"type":"numeric_atoms","value":1109,"base":15}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1616,"base":15},"right_expr":{"type":"numeric_atoms","value":5643,"base":15}}},"used_operators":["LRNGc0VcxI","2DQ55sFlQl","bJkvcejdHO"],"dependent_operators":["X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=3585","layer":2},{"info":"number node, value=1109","layer":2},{"info":"compute binary expreesion, left_input=3585, right_input=1109, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=1616","layer":2},{"info":"number node, value=5643","layer":2},{"info":"compute binary expreesion, left_input=1616, right_input=5643, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=418071","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=418071, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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":15,"result_base":15,"text":"(⫶⩼⫲10E0⨵⪆⫶⩼⫲4DE)∀⇚≩(⫶⩼⫲72B≎⊠⪸⫶⩼⫲1A13)=NaN","reverse_text":"NaN=(⫶⩼⫲10E0⨵⪆⫶⩼⫲4DE)∀⇚≩(⫶⩼⫲72B≎⊠⪸⫶⩼⫲1A13)","cot":[{"info":"⫶⩼⫲10E0⨵⪆⫶⩼⫲4DE=⫶⩼⫲AA","layer":1},{"info":"⫶⩼⫲72B≎⊠⪸⫶⩼⫲1A13=⫶⩼⫲83D16","layer":1},{"info":"⫶⩼⫲AA∀⇚≩⫶⩼⫲83D16=NaN","layer":0}]}
{"id":178,"expression_no_base_symbol":"(↽≂$1823$)+⇶⊼$1077$⪛$3568$","expression":"(↽≂⫶⩼⫲818)+⇶⊼⫶⩼⫲4BC⪛⫶⩼⫲10CD","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":8,"operation_count":3,"complexity_ratio":2.6666666666666665,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":1823,"base":15}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1077,"base":15},"right_expr":{"type":"numeric_atoms","value":3568,"base":15}}},"used_operators":["TpPTUOHfaN","u6S6b8DprG","uFcxV4UQCh"],"dependent_operators":["AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1823","layer":2},{"info":"compute unary expreesion, input=1823, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-3646","layer":1},{"info":"number node, value=1077","layer":2},{"info":"number node, value=3568","layer":2},{"info":"compute binary expreesion, left_input=1077, right_input=3568, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1077","layer":1},{"info":"compute binary expreesion, left_input=-3646, 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":0}],"base":15,"result_base":15,"text":"(↽≂⫶⩼⫲818)+⇶⊼⫶⩼⫲4BC⪛⫶⩼⫲10CD=NaN","reverse_text":"NaN=(↽≂⫶⩼⫲818)+⇶⊼⫶⩼⫲4BC⪛⫶⩼⫲10CD","cot":[{"info":"↽≂⫶⩼⫲818=⫶⩼⫲-1131","layer":1},{"info":"⫶⩼⫲4BC⪛⫶⩼⫲10CD=⫶⩼⫲4BC","layer":1},{"info":"⫶⩼⫲-1131+⇶⊼⫶⩼⫲4BC=NaN","layer":0}]}
{"id":179,"expression_no_base_symbol":"($6677$⫡⨏$2543$)⫥∨⫟($1528$⊪)","expression":"(⫶⩼⫲1EA2⫡⨏⫶⩼⫲B48)⫥∨⫟(⫶⩼⫲6BD⊪)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":194,"operation_count":3,"complexity_ratio":64.66666666666667,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":6677,"base":15},"right_expr":{"type":"numeric_atoms","value":2543,"base":15}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":1528,"base":15}}},"used_operators":["KYD54nUTWz","QMFrweE19q","zVYPLywUTj"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=6677","layer":2},{"info":"number node, value=2543","layer":2},{"info":"compute binary expreesion, left_input=6677, right_input=2543, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=39254","layer":1},{"info":"number node, value=1528","layer":2},{"info":"compute unary expreesion, input=1528, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=39254, right_input=0, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲1EA2⫡⨏⫶⩼⫲B48)⫥∨⫟(⫶⩼⫲6BD⊪)=NaN","reverse_text":"NaN=(⫶⩼⫲1EA2⫡⨏⫶⩼⫲B48)⫥∨⫟(⫶⩼⫲6BD⊪)","cot":[{"info":"⫶⩼⫲1EA2⫡⨏⫶⩼⫲B48=⫶⩼⫲B96E","layer":1},{"info":"⫶⩼⫲6BD⊪=⫶⩼⫲0","layer":1},{"info":"⫶⩼⫲B96E⫥∨⫟⫶⩼⫲0=NaN","layer":0}]}
{"id":180,"expression_no_base_symbol":"↣≠⋷($7819$⋫)","expression":"↣≠⋷(⫶⩼⫲24B4⋫)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":7822,"operation_count":2,"complexity_ratio":3911.0,"tree":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":7819,"base":15}}},"used_operators":["Asc51vEJeQ","JL8yIekQnl"],"dependent_operators":["XhwjNDsVaA","AHs5Up7iyr","tmPS8pqC7x"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=7819","layer":2},{"info":"compute unary expreesion, input=7819, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=7819","layer":1},{"info":"compute unary expreesion, input=7819, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"↣≠⋷(⫶⩼⫲24B4⋫)=NaN","reverse_text":"NaN=↣≠⋷(⫶⩼⫲24B4⋫)","cot":[{"info":"⫶⩼⫲24B4⋫=⫶⩼⫲24B4","layer":1},{"info":"↣≠⋷⫶⩼⫲24B4=NaN","layer":0}]}
{"id":181,"expression_no_base_symbol":"⨈⫕$6902$≧⫂∧$2475$","expression":"⨈⫕⫶⩼⫲20A2≧⫂∧⫶⩼⫲B00","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":387,"operation_count":2,"complexity_ratio":193.5,"tree":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":6902,"base":15},"right_expr":{"type":"numeric_atoms","value":2475,"base":15}}},"used_operators":["megm06wKyl","Ph9nP6C5qx"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","t8gj7n24qd"],"result":"⫶⩼⫲-16","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=6902","layer":2},{"info":"number node, value=2475","layer":2},{"info":"compute binary expreesion, left_input=6902, right_input=2475, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2002","layer":1},{"info":"compute unary expreesion, input=2002, 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":15,"result_base":15,"text":"⨈⫕⫶⩼⫲20A2≧⫂∧⫶⩼⫲B00=⫶⩼⫲-16","reverse_text":"⫶⩼⫲-16=⨈⫕⫶⩼⫲20A2≧⫂∧⫶⩼⫲B00","cot":[{"info":"⫶⩼⫲20A2≧⫂∧⫶⩼⫲B00=⫶⩼⫲8D7","layer":1},{"info":"⨈⫕⫶⩼⫲8D7=⫶⩼⫲-16","layer":0}]}
{"id":182,"expression_no_base_symbol":"($2916$⨽$4825$)≦≮≮","expression":"(⫶⩼⫲CE6⨽⫶⩼⫲166A)≦≮≮","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2928,"operation_count":2,"complexity_ratio":1464.0,"tree":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2916,"base":15},"right_expr":{"type":"numeric_atoms","value":4825,"base":15}}},"used_operators":["D4vGDi5EA2","8HhzD0ZcuI"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"⫶⩼⫲6AC67AC","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2916","layer":2},{"info":"number node, value=4825","layer":2},{"info":"compute binary expreesion, left_input=2916, right_input=4825, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-25522329","layer":1},{"info":"compute unary expreesion, input=-25522329, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=76566987","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲CE6⨽⫶⩼⫲166A)≦≮≮=⫶⩼⫲6AC67AC","reverse_text":"⫶⩼⫲6AC67AC=(⫶⩼⫲CE6⨽⫶⩼⫲166A)≦≮≮","cot":[{"info":"⫶⩼⫲CE6⨽⫶⩼⫲166A=⫶⩼⫲-2392289","layer":1},{"info":"⫶⩼⫲-2392289≦≮≮=⫶⩼⫲6AC67AC","layer":0}]}
{"id":183,"expression_no_base_symbol":"⪝⪂⫅($1421$⩤)","expression":"⪝⪂⫅(⫶⩼⫲64B⩤)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":151,"operation_count":2,"complexity_ratio":75.5,"tree":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":1421,"base":15}}},"used_operators":["XTarYq4gQB","Z2TMIBDE3Q"],"dependent_operators":["9HNa5Wba9A","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd"],"result":"⫶⩼⫲41D5C","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1421","layer":2},{"info":"compute unary expreesion, input=1421, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-1421","layer":1},{"info":"compute unary expreesion, input=-1421, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=208887","layer":0}],"base":15,"result_base":15,"text":"⪝⪂⫅(⫶⩼⫲64B⩤)=⫶⩼⫲41D5C","reverse_text":"⫶⩼⫲41D5C=⪝⪂⫅(⫶⩼⫲64B⩤)","cot":[{"info":"⫶⩼⫲64B⩤=⫶⩼⫲-64B","layer":1},{"info":"⪝⪂⫅⫶⩼⫲-64B=⫶⩼⫲41D5C","layer":0}]}
{"id":184,"expression_no_base_symbol":"$2328$∑⇟⊟$3147$⊭↱($5166$⫡⨏$2296$)","expression":"⫶⩼⫲A53∑⇟⊟⫶⩼⫲DEC⊭↱(⫶⩼⫲17E6⫡⨏⫶⩼⫲A31)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":14,"operation_count":3,"complexity_ratio":4.666666666666667,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":2328,"base":15},"right_expr":{"type":"numeric_atoms","value":3147,"base":15}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":5166,"base":15},"right_expr":{"type":"numeric_atoms","value":2296,"base":15}}},"used_operators":["COABgblf1C","U7g4x0WXJJ","QMFrweE19q"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=2328","layer":2},{"info":"number node, value=3147","layer":2},{"info":"compute binary expreesion, left_input=2328, right_input=3147, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=5166","layer":2},{"info":"number node, value=2296","layer":2},{"info":"compute binary expreesion, left_input=5166, right_input=2296, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=31205","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=31205, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲A53∑⇟⊟⫶⩼⫲DEC⊭↱(⫶⩼⫲17E6⫡⨏⫶⩼⫲A31)=NaN","reverse_text":"NaN=⫶⩼⫲A53∑⇟⊟⫶⩼⫲DEC⊭↱(⫶⩼⫲17E6⫡⨏⫶⩼⫲A31)","cot":[{"info":"⫶⩼⫲A53∑⇟⊟⫶⩼⫲DEC=NaN","layer":1},{"info":"⫶⩼⫲17E6⫡⨏⫶⩼⫲A31=⫶⩼⫲93A5","layer":1},{"info":"NaN⊭↱⫶⩼⫲93A5=NaN","layer":0}]}
{"id":185,"expression_no_base_symbol":"($3911$⩨$3852$)⪮%⊝$1430$≹⇙⪍$1513$","expression":"(⫶⩼⫲125B⩨⫶⩼⫲121C)⪮%⊝⫶⩼⫲655≹⇙⪍⫶⩼⫲6AD","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":14,"operation_count":3,"complexity_ratio":4.666666666666667,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":3911,"base":15},"right_expr":{"type":"numeric_atoms","value":3852,"base":15}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1430,"base":15},"right_expr":{"type":"numeric_atoms","value":1513,"base":15}}},"used_operators":["IWmyXbctLI","2DlMacCsIx","AHs5Up7iyr"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=3911","layer":2},{"info":"number node, value=3852","layer":2},{"info":"compute binary expreesion, left_input=3911, right_input=3852, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":1},{"info":"number node, value=1430","layer":2},{"info":"number node, value=1513","layer":2},{"info":"compute binary expreesion, left_input=1430, right_input=1513, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲125B⩨⫶⩼⫲121C)⪮%⊝⫶⩼⫲655≹⇙⪍⫶⩼⫲6AD=NaN","reverse_text":"NaN=(⫶⩼⫲125B⩨⫶⩼⫲121C)⪮%⊝⫶⩼⫲655≹⇙⪍⫶⩼⫲6AD","cot":[{"info":"⫶⩼⫲125B⩨⫶⩼⫲121C=⫶⩼⫲0","layer":1},{"info":"⫶⩼⫲655≹⇙⪍⫶⩼⫲6AD=NaN","layer":1},{"info":"⫶⩼⫲0⪮%⊝NaN=NaN","layer":0}]}
{"id":186,"expression_no_base_symbol":"($1299$⨁⊸⫻)⊘","expression":"(⫶⩼⫲5B9⨁⊸⫻)⊘","highest_n_order":2,"priority_hierarchical_complexity":1,"normalized_expansion_degree":20,"operation_count":2,"complexity_ratio":10.0,"tree":{"type":"unary","operator":"⊘","unary_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":1299,"base":15}}},"used_operators":["gu96TGCTMs","glklzrTFfD"],"dependent_operators":["XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","W4YGzv6Whe","rysDP5nf3Z"],"result":"⫶⩼⫲0","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1299","layer":2},{"info":"compute unary expreesion, input=1299, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=1299","layer":1},{"info":"compute unary expreesion, input=1299, 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":15,"result_base":15,"text":"(⫶⩼⫲5B9⨁⊸⫻)⊘=⫶⩼⫲0","reverse_text":"⫶⩼⫲0=(⫶⩼⫲5B9⨁⊸⫻)⊘","cot":[{"info":"⫶⩼⫲5B9⨁⊸⫻=⫶⩼⫲5B9","layer":1},{"info":"⫶⩼⫲5B9⊘=⫶⩼⫲0","layer":0}]}
{"id":187,"expression_no_base_symbol":"⫛⫱⨽($1115$⋫)","expression":"⫛⫱⨽(⫶⩼⫲4E5⋫)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2537,"operation_count":2,"complexity_ratio":1268.5,"tree":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":1115,"base":15}}},"used_operators":["DlLNRPXxWL","JL8yIekQnl"],"dependent_operators":["rGHVDoGpnC","tmPS8pqC7x"],"result":"⫶⩼⫲0","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1115","layer":2},{"info":"compute unary expreesion, input=1115, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=1115","layer":1},{"info":"compute unary expreesion, input=1115, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":0}],"base":15,"result_base":15,"text":"⫛⫱⨽(⫶⩼⫲4E5⋫)=⫶⩼⫲0","reverse_text":"⫶⩼⫲0=⫛⫱⨽(⫶⩼⫲4E5⋫)","cot":[{"info":"⫶⩼⫲4E5⋫=⫶⩼⫲4E5","layer":1},{"info":"⫛⫱⨽⫶⩼⫲4E5=⫶⩼⫲0","layer":0}]}
{"id":188,"expression_no_base_symbol":"(≦∁$4487$)+⇶⊼(-$1114$)","expression":"(≦∁⫶⩼⫲14E2)+⇶⊼(-⫶⩼⫲4E4)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3,"operation_count":3,"complexity_ratio":1.0,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":4487,"base":15}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1114,"base":15}}},"used_operators":["TpPTUOHfaN","9ICcGScMcE","t8gj7n24qd"],"dependent_operators":["AHs5Up7iyr","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=4487","layer":2},{"info":"compute unary expreesion, input=4487, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=4487","layer":1},{"info":"number node, value=1114","layer":2},{"info":"compute unary expreesion, input=1114, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1114","layer":1},{"info":"compute binary expreesion, left_input=4487, right_input=-1114, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":0}],"base":15,"result_base":15,"text":"(≦∁⫶⩼⫲14E2)+⇶⊼(-⫶⩼⫲4E4)=NaN","reverse_text":"NaN=(≦∁⫶⩼⫲14E2)+⇶⊼(-⫶⩼⫲4E4)","cot":[{"info":"≦∁⫶⩼⫲14E2=⫶⩼⫲14E2","layer":1},{"info":"-⫶⩼⫲4E4=⫶⩼⫲-4E4","layer":1},{"info":"⫶⩼⫲14E2+⇶⊼⫶⩼⫲-4E4=NaN","layer":0}]}
{"id":189,"expression_no_base_symbol":"(⊙↵-$1510$)⇼⇔∾$4682$⋝⋈⪟$1844$","expression":"(⊙↵-⫶⩼⫲6AA)⇼⇔∾⫶⩼⫲15C2⋝⋈⪟⫶⩼⫲82E","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1561,"operation_count":3,"complexity_ratio":520.3333333333334,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1510,"base":15}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":4682,"base":15},"right_expr":{"type":"numeric_atoms","value":1844,"base":15}}},"used_operators":["tifHPKVTfV","oWn0xqSxBt","2DDjHMKMc0"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd"],"result":"⫶⩼⫲15C3","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1510","layer":2},{"info":"compute unary expreesion, input=1510, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":1},{"info":"number node, value=4682","layer":2},{"info":"number node, value=1844","layer":2},{"info":"compute binary expreesion, left_input=4682, right_input=1844, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=4682","layer":1},{"info":"compute binary expreesion, left_input=-1, right_input=4682, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=4683","layer":0}],"base":15,"result_base":15,"text":"(⊙↵-⫶⩼⫲6AA)⇼⇔∾⫶⩼⫲15C2⋝⋈⪟⫶⩼⫲82E=⫶⩼⫲15C3","reverse_text":"⫶⩼⫲15C3=(⊙↵-⫶⩼⫲6AA)⇼⇔∾⫶⩼⫲15C2⋝⋈⪟⫶⩼⫲82E","cot":[{"info":"⊙↵-⫶⩼⫲6AA=⫶⩼⫲-1","layer":1},{"info":"⫶⩼⫲15C2⋝⋈⪟⫶⩼⫲82E=⫶⩼⫲15C2","layer":1},{"info":"⫶⩼⫲-1⇼⇔∾⫶⩼⫲15C2=⫶⩼⫲15C3","layer":0}]}
{"id":190,"expression_no_base_symbol":"$1003$⪘⫢$1341$≧⫂∧$8540$⪘⫢$3925$","expression":"⫶⩼⫲46D⪘⫢⫶⩼⫲5E6≧⫂∧⫶⩼⫲27E5⪘⫢⫶⩼⫲126A","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":31,"operation_count":3,"complexity_ratio":10.333333333333334,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1003,"base":15},"right_expr":{"type":"numeric_atoms","value":1341,"base":15}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":8540,"base":15},"right_expr":{"type":"numeric_atoms","value":3925,"base":15}}},"used_operators":["Ph9nP6C5qx","oacrs7FA3X"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"⫶⩼⫲4D3D","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1003","layer":2},{"info":"number node, value=1341","layer":2},{"info":"compute binary expreesion, left_input=1003, right_input=1341, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=1882","layer":1},{"info":"number node, value=8540","layer":2},{"info":"number node, value=3925","layer":2},{"info":"compute binary expreesion, left_input=8540, right_input=3925, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=16956","layer":1},{"info":"compute binary expreesion, left_input=1882, right_input=16956, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=16483","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲46D⪘⫢⫶⩼⫲5E6≧⫂∧⫶⩼⫲27E5⪘⫢⫶⩼⫲126A=⫶⩼⫲4D3D","reverse_text":"⫶⩼⫲4D3D=⫶⩼⫲46D⪘⫢⫶⩼⫲5E6≧⫂∧⫶⩼⫲27E5⪘⫢⫶⩼⫲126A","cot":[{"info":"⫶⩼⫲46D⪘⫢⫶⩼⫲5E6=⫶⩼⫲857","layer":1},{"info":"⫶⩼⫲27E5⪘⫢⫶⩼⫲126A=⫶⩼⫲5056","layer":1},{"info":"⫶⩼⫲857≧⫂∧⫶⩼⫲5056=⫶⩼⫲4D3D","layer":0}]}
{"id":191,"expression_no_base_symbol":"($1768$-$6431$)⊪","expression":"(⫶⩼⫲7CD-⫶⩼⫲1D8B)⊪","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":14007,"operation_count":2,"complexity_ratio":7003.5,"tree":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1768,"base":15},"right_expr":{"type":"numeric_atoms","value":6431,"base":15}}},"used_operators":["zVYPLywUTj","rysDP5nf3Z"],"dependent_operators":["sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL"],"result":"⫶⩼⫲1420ABB5","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1768","layer":2},{"info":"number node, value=6431","layer":2},{"info":"compute binary expreesion, left_input=1768, right_input=6431, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-4663","layer":1},{"info":"compute unary expreesion, input=-4663, 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=217977020","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲7CD-⫶⩼⫲1D8B)⊪=⫶⩼⫲1420ABB5","reverse_text":"⫶⩼⫲1420ABB5=(⫶⩼⫲7CD-⫶⩼⫲1D8B)⊪","cot":[{"info":"⫶⩼⫲7CD-⫶⩼⫲1D8B=⫶⩼⫲-15AD","layer":1},{"info":"⫶⩼⫲-15AD⊪=⫶⩼⫲1420ABB5","layer":0}]}
{"id":192,"expression_no_base_symbol":"↔($5197$⨪↰⇹$1091$)","expression":"↔(⫶⩼⫲1817⨪↰⇹⫶⩼⫲4CB)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5204,"operation_count":2,"complexity_ratio":2602.0,"tree":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":5197,"base":15},"right_expr":{"type":"numeric_atoms","value":1091,"base":15}}},"used_operators":["ruOEQAzv1W","tmPS8pqC7x"],"dependent_operators":["XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rJVOvQCfKK"],"result":"⫶⩼⫲-16D4","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=5197","layer":2},{"info":"number node, value=1091","layer":2},{"info":"compute binary expreesion, left_input=5197, right_input=1091, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=5197","layer":1},{"info":"compute unary expreesion, input=5197, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-4924","layer":0}],"base":15,"result_base":15,"text":"↔(⫶⩼⫲1817⨪↰⇹⫶⩼⫲4CB)=⫶⩼⫲-16D4","reverse_text":"⫶⩼⫲-16D4=↔(⫶⩼⫲1817⨪↰⇹⫶⩼⫲4CB)","cot":[{"info":"⫶⩼⫲1817⨪↰⇹⫶⩼⫲4CB=⫶⩼⫲1817","layer":1},{"info":"↔⫶⩼⫲1817=⫶⩼⫲-16D4","layer":0}]}
{"id":193,"expression_no_base_symbol":"$1179$⪘⫢$2511$⊠≄⫣","expression":"⫶⩼⫲539⪘⫢⫶⩼⫲B26⊠≄⫣","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":18,"operation_count":2,"complexity_ratio":9.0,"tree":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1179,"base":15},"right_expr":{"type":"numeric_atoms","value":2511,"base":15}}},"used_operators":["DIvbN7qnHd","oacrs7FA3X"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"⫶⩼⫲0","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1179","layer":2},{"info":"number node, value=2511","layer":2},{"info":"compute binary expreesion, left_input=1179, right_input=2511, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2234","layer":1},{"info":"compute unary expreesion, input=2234, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲539⪘⫢⫶⩼⫲B26⊠≄⫣=⫶⩼⫲0","reverse_text":"⫶⩼⫲0=⫶⩼⫲539⪘⫢⫶⩼⫲B26⊠≄⫣","cot":[{"info":"⫶⩼⫲539⪘⫢⫶⩼⫲B26=⫶⩼⫲9DE","layer":1},{"info":"⫶⩼⫲9DE⊠≄⫣=⫶⩼⫲0","layer":0}]}
{"id":194,"expression_no_base_symbol":"($1324$⋥≓≎$1565$)⨽$1362$↬$1354$","expression":"(⫶⩼⫲5D4⋥≓≎⫶⩼⫲6E5)⨽⫶⩼⫲60C↬⫶⩼⫲604","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1853,"operation_count":3,"complexity_ratio":617.6666666666666,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1324,"base":15},"right_expr":{"type":"numeric_atoms","value":1565,"base":15}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1362,"base":15},"right_expr":{"type":"numeric_atoms","value":1354,"base":15}}},"used_operators":["8HhzD0ZcuI","Qy55tPpLXF","B5M0gjZbta"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1324","layer":2},{"info":"number node, value=1565","layer":2},{"info":"compute binary expreesion, left_input=1324, right_input=1565, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=1839","layer":1},{"info":"number node, value=1362","layer":2},{"info":"number node, value=1354","layer":2},{"info":"compute binary expreesion, left_input=1362, right_input=1354, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=1839, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲5D4⋥≓≎⫶⩼⫲6E5)⨽⫶⩼⫲60C↬⫶⩼⫲604=NaN","reverse_text":"NaN=(⫶⩼⫲5D4⋥≓≎⫶⩼⫲6E5)⨽⫶⩼⫲60C↬⫶⩼⫲604","cot":[{"info":"⫶⩼⫲5D4⋥≓≎⫶⩼⫲6E5=⫶⩼⫲829","layer":1},{"info":"⫶⩼⫲60C↬⫶⩼⫲604=NaN","layer":1},{"info":"⫶⩼⫲829⨽NaN=NaN","layer":0}]}
{"id":195,"expression_no_base_symbol":"($2651$⊉≛↸$6643$)⨪↰⇹($1476$⫸⊐$2780$)","expression":"(⫶⩼⫲BBB⊉≛↸⫶⩼⫲1E7D)⨪↰⇹(⫶⩼⫲686⫸⊐⫶⩼⫲C55)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5328,"operation_count":3,"complexity_ratio":1776.0,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2651,"base":15},"right_expr":{"type":"numeric_atoms","value":6643,"base":15}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1476,"base":15},"right_expr":{"type":"numeric_atoms","value":2780,"base":15}}},"used_operators":["tmPS8pqC7x","DZ8iAZOCBD","mqXw5SEYmG"],"dependent_operators":["rJVOvQCfKK","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"⫶⩼⫲1887","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2651","layer":2},{"info":"number node, value=6643","layer":2},{"info":"compute binary expreesion, left_input=2651, right_input=6643, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=5302","layer":1},{"info":"number node, value=1476","layer":2},{"info":"number node, value=2780","layer":2},{"info":"compute binary expreesion, left_input=1476, right_input=2780, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=10995","layer":1},{"info":"compute binary expreesion, left_input=5302, right_input=10995, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=5302","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲BBB⊉≛↸⫶⩼⫲1E7D)⨪↰⇹(⫶⩼⫲686⫸⊐⫶⩼⫲C55)=⫶⩼⫲1887","reverse_text":"⫶⩼⫲1887=(⫶⩼⫲BBB⊉≛↸⫶⩼⫲1E7D)⨪↰⇹(⫶⩼⫲686⫸⊐⫶⩼⫲C55)","cot":[{"info":"⫶⩼⫲BBB⊉≛↸⫶⩼⫲1E7D=⫶⩼⫲1887","layer":1},{"info":"⫶⩼⫲686⫸⊐⫶⩼⫲C55=⫶⩼⫲33D0","layer":1},{"info":"⫶⩼⫲1887⨪↰⇹⫶⩼⫲33D0=⫶⩼⫲1887","layer":0}]}
{"id":196,"expression_no_base_symbol":"$2314$⊴$3971$⨐⩸⫘$2462$⨓$3754$","expression":"⫶⩼⫲A44⊴⫶⩼⫲129B⨐⩸⫘⫶⩼⫲AE2⨓⫶⩼⫲11A4","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7738,"operation_count":3,"complexity_ratio":2579.3333333333335,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2314,"base":15},"right_expr":{"type":"numeric_atoms","value":3971,"base":15}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2462,"base":15},"right_expr":{"type":"numeric_atoms","value":3754,"base":15}}},"used_operators":["fu6greOZ01","Nsiff2A1zJ","3ViojmjbAp"],"dependent_operators":["3ViojmjbAp","dWAJyo7jo9","14qkJME0vr","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2314","layer":2},{"info":"number node, value=3971","layer":2},{"info":"compute binary expreesion, left_input=2314, right_input=3971, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=2462","layer":2},{"info":"number node, value=3754","layer":2},{"info":"compute binary expreesion, left_input=2462, right_input=3754, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3757","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-3757, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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":15,"result_base":15,"text":"⫶⩼⫲A44⊴⫶⩼⫲129B⨐⩸⫘⫶⩼⫲AE2⨓⫶⩼⫲11A4=NaN","reverse_text":"NaN=⫶⩼⫲A44⊴⫶⩼⫲129B⨐⩸⫘⫶⩼⫲AE2⨓⫶⩼⫲11A4","cot":[{"info":"⫶⩼⫲A44⊴⫶⩼⫲129B=NaN","layer":1},{"info":"⫶⩼⫲AE2⨓⫶⩼⫲11A4=⫶⩼⫲-11A7","layer":1},{"info":"NaN⨐⩸⫘⫶⩼⫲-11A7=NaN","layer":0}]}
{"id":197,"expression_no_base_symbol":"$2312$*$1621$⨵⪆$1911$+⇶⊼$5596$","expression":"⫶⩼⫲A42*⫶⩼⫲731⨵⪆⫶⩼⫲876+⇶⊼⫶⩼⫲19D1","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1623,"operation_count":3,"complexity_ratio":541.0,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2312,"base":15},"right_expr":{"type":"numeric_atoms","value":1621,"base":15}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1911,"base":15},"right_expr":{"type":"numeric_atoms","value":5596,"base":15}}},"used_operators":["2DQ55sFlQl","9HNa5Wba9A","TpPTUOHfaN"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","AHs5Up7iyr"],"result":"⫶⩼⫲AA","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2312","layer":2},{"info":"number node, value=1621","layer":2},{"info":"compute binary expreesion, left_input=2312, right_input=1621, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=3747752","layer":1},{"info":"number node, value=1911","layer":2},{"info":"number node, value=5596","layer":2},{"info":"compute binary expreesion, left_input=1911, right_input=5596, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=3747752, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲A42*⫶⩼⫲731⨵⪆⫶⩼⫲876+⇶⊼⫶⩼⫲19D1=⫶⩼⫲AA","reverse_text":"⫶⩼⫲AA=⫶⩼⫲A42*⫶⩼⫲731⨵⪆⫶⩼⫲876+⇶⊼⫶⩼⫲19D1","cot":[{"info":"⫶⩼⫲A42*⫶⩼⫲731=⫶⩼⫲4E06A2","layer":1},{"info":"⫶⩼⫲876+⇶⊼⫶⩼⫲19D1=NaN","layer":1},{"info":"⫶⩼⫲4E06A2⨵⪆NaN=⫶⩼⫲AA","layer":0}]}
{"id":198,"expression_no_base_symbol":"$2471$⨽$2276$-$2958$-$6191$","expression":"⫶⩼⫲AEB⨽⫶⩼⫲A1B-⫶⩼⫲D23-⫶⩼⫲1C7B","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2482,"operation_count":3,"complexity_ratio":827.3333333333334,"tree":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2471,"base":15},"right_expr":{"type":"numeric_atoms","value":2276,"base":15}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2958,"base":15},"right_expr":{"type":"numeric_atoms","value":6191,"base":15}}},"used_operators":["rysDP5nf3Z","8HhzD0ZcuI"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"⫶⩼⫲-191D154","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2471","layer":2},{"info":"number node, value=2276","layer":2},{"info":"compute binary expreesion, left_input=2471, right_input=2276, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-18323037","layer":1},{"info":"number node, value=2958","layer":2},{"info":"number node, value=6191","layer":2},{"info":"compute binary expreesion, left_input=2958, right_input=6191, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-3233","layer":1},{"info":"compute binary expreesion, left_input=-18323037, right_input=-3233, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-18319804","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲AEB⨽⫶⩼⫲A1B-⫶⩼⫲D23-⫶⩼⫲1C7B=⫶⩼⫲-191D154","reverse_text":"⫶⩼⫲-191D154=⫶⩼⫲AEB⨽⫶⩼⫲A1B-⫶⩼⫲D23-⫶⩼⫲1C7B","cot":[{"info":"⫶⩼⫲AEB⨽⫶⩼⫲A1B=⫶⩼⫲-191E0AC","layer":1},{"info":"⫶⩼⫲D23-⫶⩼⫲1C7B=⫶⩼⫲-E58","layer":1},{"info":"⫶⩼⫲-191E0AC-⫶⩼⫲-E58=⫶⩼⫲-191D154","layer":0}]}
{"id":199,"expression_no_base_symbol":"⊥($4123$⪘⫢$2094$)","expression":"⊥(⫶⩼⫲134D⪘⫢⫶⩼⫲949)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":16,"operation_count":2,"complexity_ratio":8.0,"tree":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":4123,"base":15},"right_expr":{"type":"numeric_atoms","value":2094,"base":15}}},"used_operators":["Q3PJZHRvZv","oacrs7FA3X"],"dependent_operators":["fu6greOZ01","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=4123","layer":2},{"info":"number node, value=2094","layer":2},{"info":"compute binary expreesion, left_input=4123, right_input=2094, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=8122","layer":1},{"info":"compute unary expreesion, input=8122, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"⊥(⫶⩼⫲134D⪘⫢⫶⩼⫲949)=NaN","reverse_text":"NaN=⊥(⫶⩼⫲134D⪘⫢⫶⩼⫲949)","cot":[{"info":"⫶⩼⫲134D⪘⫢⫶⩼⫲949=⫶⩼⫲2617","layer":1},{"info":"⊥⫶⩼⫲2617=NaN","layer":0}]}
{"id":200,"expression_no_base_symbol":"($3420$%$5017$)∀⇚≩($3104$≋⫹)","expression":"(⫶⩼⫲1030%⫶⩼⫲1747)∀⇚≩(⫶⩼⫲DBE≋⫹)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":23944,"operation_count":3,"complexity_ratio":7981.333333333333,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":3420,"base":15},"right_expr":{"type":"numeric_atoms","value":5017,"base":15}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":3104,"base":15}}},"used_operators":["LRNGc0VcxI","k8jYdgA6NY","N41Kp7NANJ"],"dependent_operators":["X99M06cbEe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=3420","layer":2},{"info":"number node, value=5017","layer":2},{"info":"compute binary expreesion, left_input=3420, right_input=5017, op_id = k8jYdgA6NY binary_op_definition= 'None', output=3420","layer":1},{"info":"number node, value=3104","layer":2},{"info":"compute unary expreesion, input=3104, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-6208","layer":1},{"info":"compute binary expreesion, left_input=3420, right_input=-6208, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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":15,"result_base":15,"text":"(⫶⩼⫲1030%⫶⩼⫲1747)∀⇚≩(⫶⩼⫲DBE≋⫹)=NaN","reverse_text":"NaN=(⫶⩼⫲1030%⫶⩼⫲1747)∀⇚≩(⫶⩼⫲DBE≋⫹)","cot":[{"info":"⫶⩼⫲1030%⫶⩼⫲1747=⫶⩼⫲1030","layer":1},{"info":"⫶⩼⫲DBE≋⫹=⫶⩼⫲-1C8D","layer":1},{"info":"⫶⩼⫲1030∀⇚≩⫶⩼⫲-1C8D=NaN","layer":0}]}
{"id":201,"expression_no_base_symbol":"↣≠⋷($1439$⋳⪒$1052$)","expression":"↣≠⋷(⫶⩼⫲65E⋳⪒⫶⩼⫲4A2)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":10,"operation_count":2,"complexity_ratio":5.0,"tree":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1439,"base":15},"right_expr":{"type":"numeric_atoms","value":1052,"base":15}}},"used_operators":["Asc51vEJeQ","12rbrZMWeM"],"dependent_operators":["XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1439","layer":2},{"info":"number node, value=1052","layer":2},{"info":"compute binary expreesion, left_input=1439, right_input=1052, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=1539","layer":1},{"info":"compute unary expreesion, input=1539, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"↣≠⋷(⫶⩼⫲65E⋳⪒⫶⩼⫲4A2)=NaN","reverse_text":"NaN=↣≠⋷(⫶⩼⫲65E⋳⪒⫶⩼⫲4A2)","cot":[{"info":"⫶⩼⫲65E⋳⪒⫶⩼⫲4A2=⫶⩼⫲6C9","layer":1},{"info":"↣≠⋷⫶⩼⫲6C9=NaN","layer":0}]}
{"id":202,"expression_no_base_symbol":"⫓⪴($1745$⊭↱$3105$)","expression":"⫓⪴(⫶⩼⫲7B5⊭↱⫶⩼⫲DC0)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2731,"operation_count":2,"complexity_ratio":1365.5,"tree":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1745,"base":15},"right_expr":{"type":"numeric_atoms","value":3105,"base":15}}},"used_operators":["eLxqMNBOBk","COABgblf1C"],"dependent_operators":["9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd"],"result":"⫶⩼⫲9BA2BA","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1745","layer":2},{"info":"number node, value=3105","layer":2},{"info":"compute binary expreesion, left_input=1745, right_input=3105, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=2725","layer":1},{"info":"compute unary expreesion, input=2725, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=7425625","layer":0}],"base":15,"result_base":15,"text":"⫓⪴(⫶⩼⫲7B5⊭↱⫶⩼⫲DC0)=⫶⩼⫲9BA2BA","reverse_text":"⫶⩼⫲9BA2BA=⫓⪴(⫶⩼⫲7B5⊭↱⫶⩼⫲DC0)","cot":[{"info":"⫶⩼⫲7B5⊭↱⫶⩼⫲DC0=⫶⩼⫲C1A","layer":1},{"info":"⫓⪴⫶⩼⫲C1A=⫶⩼⫲9BA2BA","layer":0}]}
{"id":203,"expression_no_base_symbol":"($1436$↛⩡⫤)⨎(⪝⪂⫅$3787$)","expression":"(⫶⩼⫲65B↛⩡⫤)⨎(⪝⪂⫅⫶⩼⫲11C7)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4593,"operation_count":3,"complexity_ratio":1531.0,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":1436,"base":15}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":3787,"base":15}}},"used_operators":["rJVOvQCfKK","FU0Cs4j7VP","XTarYq4gQB"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","9HNa5Wba9A","8w2t5hMYqp"],"result":"⫶⩼⫲-AEE29","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1436","layer":2},{"info":"compute unary expreesion, input=1436, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-212925","layer":1},{"info":"number node, value=3787","layer":2},{"info":"compute unary expreesion, input=3787, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-556689","layer":1},{"info":"compute binary expreesion, left_input=-212925, right_input=-556689, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-556689","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲65B↛⩡⫤)⨎(⪝⪂⫅⫶⩼⫲11C7)=⫶⩼⫲-AEE29","reverse_text":"⫶⩼⫲-AEE29=(⫶⩼⫲65B↛⩡⫤)⨎(⪝⪂⫅⫶⩼⫲11C7)","cot":[{"info":"⫶⩼⫲65B↛⩡⫤=⫶⩼⫲-43150","layer":1},{"info":"⪝⪂⫅⫶⩼⫲11C7=⫶⩼⫲-AEE29","layer":1},{"info":"⫶⩼⫲-43150⨎⫶⩼⫲-AEE29=⫶⩼⫲-AEE29","layer":0}]}
{"id":204,"expression_no_base_symbol":"$4309$⩷∴$2822$⊭↱($1056$*$1289$)","expression":"⫶⩼⫲1424⩷∴⫶⩼⫲C82⊭↱(⫶⩼⫲4A6*⫶⩼⫲5AE)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1068,"operation_count":3,"complexity_ratio":356.0,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":4309,"base":15},"right_expr":{"type":"numeric_atoms","value":2822,"base":15}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1056,"base":15},"right_expr":{"type":"numeric_atoms","value":1289,"base":15}}},"used_operators":["COABgblf1C","9FxExcQeMw","9HNa5Wba9A"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe"],"result":"⫶⩼⫲389D44","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=4309","layer":2},{"info":"number node, value=2822","layer":2},{"info":"compute binary expreesion, left_input=4309, right_input=2822, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=2942","layer":1},{"info":"number node, value=1056","layer":2},{"info":"number node, value=1289","layer":2},{"info":"compute binary expreesion, left_input=1056, right_input=1289, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=1361184","layer":1},{"info":"compute binary expreesion, left_input=2942, right_input=1361184, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=2716489","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲1424⩷∴⫶⩼⫲C82⊭↱(⫶⩼⫲4A6*⫶⩼⫲5AE)=⫶⩼⫲389D44","reverse_text":"⫶⩼⫲389D44=⫶⩼⫲1424⩷∴⫶⩼⫲C82⊭↱(⫶⩼⫲4A6*⫶⩼⫲5AE)","cot":[{"info":"⫶⩼⫲1424⩷∴⫶⩼⫲C82=⫶⩼⫲D12","layer":1},{"info":"⫶⩼⫲4A6*⫶⩼⫲5AE=⫶⩼⫲1BD4A9","layer":1},{"info":"⫶⩼⫲D12⊭↱⫶⩼⫲1BD4A9=⫶⩼⫲389D44","layer":0}]}
{"id":205,"expression_no_base_symbol":"(≤/$9118$)⋷($8140$⨵⪆$4531$)","expression":"(≤/⫶⩼⫲2A7D)⋷(⫶⩼⫲262A⨵⪆⫶⩼⫲1521)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4,"operation_count":3,"complexity_ratio":1.3333333333333333,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":9118,"base":15}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":8140,"base":15},"right_expr":{"type":"numeric_atoms","value":4531,"base":15}}},"used_operators":["23Mk6UjR3U","eLAdDNolq6","2DQ55sFlQl"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"⫶⩼⫲51B3","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=9118","layer":2},{"info":"compute unary expreesion, input=9118, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-8634","layer":1},{"info":"number node, value=8140","layer":2},{"info":"number node, value=4531","layer":2},{"info":"compute binary expreesion, left_input=8140, right_input=4531, 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=-8634, right_input=160, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=17268","layer":0}],"base":15,"result_base":15,"text":"(≤/⫶⩼⫲2A7D)⋷(⫶⩼⫲262A⨵⪆⫶⩼⫲1521)=⫶⩼⫲51B3","reverse_text":"⫶⩼⫲51B3=(≤/⫶⩼⫲2A7D)⋷(⫶⩼⫲262A⨵⪆⫶⩼⫲1521)","cot":[{"info":"≤/⫶⩼⫲2A7D=⫶⩼⫲-2859","layer":1},{"info":"⫶⩼⫲262A⨵⪆⫶⩼⫲1521=⫶⩼⫲AA","layer":1},{"info":"⫶⩼⫲-2859⋷⫶⩼⫲AA=⫶⩼⫲51B3","layer":0}]}
{"id":206,"expression_no_base_symbol":"($1461$⨸⪁$2280$)≹⇙⪍($4462$↙$1578$)","expression":"(⫶⩼⫲676⨸⪁⫶⩼⫲A20)≹⇙⪍(⫶⩼⫲14C7↙⫶⩼⫲703)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1585,"operation_count":3,"complexity_ratio":528.3333333333334,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1461,"base":15},"right_expr":{"type":"numeric_atoms","value":2280,"base":15}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":4462,"base":15},"right_expr":{"type":"numeric_atoms","value":1578,"base":15}}},"used_operators":["AHs5Up7iyr","g55IO6H4Gj","yyfyN0ffXY"],"dependent_operators":["dWAJyo7jo9","W4YGzv6Whe","tmPS8pqC7x","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1461","layer":2},{"info":"number node, value=2280","layer":2},{"info":"compute binary expreesion, left_input=1461, right_input=2280, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=7482","layer":1},{"info":"number node, value=4462","layer":2},{"info":"number node, value=1578","layer":2},{"info":"compute binary expreesion, left_input=4462, right_input=1578, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-4734","layer":1},{"info":"compute binary expreesion, left_input=7482, right_input=-4734, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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":15,"result_base":15,"text":"(⫶⩼⫲676⨸⪁⫶⩼⫲A20)≹⇙⪍(⫶⩼⫲14C7↙⫶⩼⫲703)=NaN","reverse_text":"NaN=(⫶⩼⫲676⨸⪁⫶⩼⫲A20)≹⇙⪍(⫶⩼⫲14C7↙⫶⩼⫲703)","cot":[{"info":"⫶⩼⫲676⨸⪁⫶⩼⫲A20=⫶⩼⫲233C","layer":1},{"info":"⫶⩼⫲14C7↙⫶⩼⫲703=⫶⩼⫲-1609","layer":1},{"info":"⫶⩼⫲233C≹⇙⪍⫶⩼⫲-1609=NaN","layer":0}]}
{"id":207,"expression_no_base_symbol":"(⫛⫱⨽$1138$)⊭↱$3597$⩷∴$2517$","expression":"(⫛⫱⨽⫶⩼⫲50D)⊭↱⫶⩼⫲10EC⩷∴⫶⩼⫲B2C","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1434,"operation_count":3,"complexity_ratio":478.0,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":1138,"base":15}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":3597,"base":15},"right_expr":{"type":"numeric_atoms","value":2517,"base":15}}},"used_operators":["COABgblf1C","DlLNRPXxWL","9FxExcQeMw"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","rysDP5nf3Z"],"result":"⫶⩼⫲13E1","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1138","layer":2},{"info":"compute unary expreesion, input=1138, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":1},{"info":"number node, value=3597","layer":2},{"info":"number node, value=2517","layer":2},{"info":"compute binary expreesion, left_input=3597, right_input=2517, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=2128","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=2128, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=4261","layer":0}],"base":15,"result_base":15,"text":"(⫛⫱⨽⫶⩼⫲50D)⊭↱⫶⩼⫲10EC⩷∴⫶⩼⫲B2C=⫶⩼⫲13E1","reverse_text":"⫶⩼⫲13E1=(⫛⫱⨽⫶⩼⫲50D)⊭↱⫶⩼⫲10EC⩷∴⫶⩼⫲B2C","cot":[{"info":"⫛⫱⨽⫶⩼⫲50D=⫶⩼⫲0","layer":1},{"info":"⫶⩼⫲10EC⩷∴⫶⩼⫲B2C=⫶⩼⫲96D","layer":1},{"info":"⫶⩼⫲0⊭↱⫶⩼⫲96D=⫶⩼⫲13E1","layer":0}]}
{"id":208,"expression_no_base_symbol":"($2356$⋥≓≎$4205$)≭(⋗⩬⋾$1385$)","expression":"(⫶⩼⫲A71⋥≓≎⫶⩼⫲13A5)≭(⋗⩬⋾⫶⩼⫲625)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":8,"operation_count":3,"complexity_ratio":2.6666666666666665,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2356,"base":15},"right_expr":{"type":"numeric_atoms","value":4205,"base":15}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1385,"base":15}}},"used_operators":["rxpJgHHUmx","Qy55tPpLXF","DpFCA1CohY"],"dependent_operators":["AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2356","layer":2},{"info":"number node, value=4205","layer":2},{"info":"compute binary expreesion, left_input=2356, right_input=4205, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=6087","layer":1},{"info":"number node, value=1385","layer":2},{"info":"compute unary expreesion, input=1385, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-4155","layer":1},{"info":"compute binary expreesion, left_input=6087, right_input=-4155, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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":15,"result_base":15,"text":"(⫶⩼⫲A71⋥≓≎⫶⩼⫲13A5)≭(⋗⩬⋾⫶⩼⫲625)=NaN","reverse_text":"NaN=(⫶⩼⫲A71⋥≓≎⫶⩼⫲13A5)≭(⋗⩬⋾⫶⩼⫲625)","cot":[{"info":"⫶⩼⫲A71⋥≓≎⫶⩼⫲13A5=⫶⩼⫲1C0C","layer":1},{"info":"⋗⩬⋾⫶⩼⫲625=⫶⩼⫲-1370","layer":1},{"info":"⫶⩼⫲1C0C≭⫶⩼⫲-1370=NaN","layer":0}]}
{"id":209,"expression_no_base_symbol":"(⊥$4584$)⊉≛↸$6339$⨟⋌⩍$4565$","expression":"(⊥⫶⩼⫲1559)⊉≛↸⫶⩼⫲1D29⨟⋌⩍⫶⩼⫲1545","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4,"operation_count":3,"complexity_ratio":1.3333333333333333,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":4584,"base":15}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":6339,"base":15},"right_expr":{"type":"numeric_atoms","value":4565,"base":15}}},"used_operators":["DZ8iAZOCBD","Q3PJZHRvZv","rGHVDoGpnC"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","fu6greOZ01","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=4584","layer":2},{"info":"compute unary expreesion, input=4584, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":1},{"info":"number node, value=6339","layer":2},{"info":"number node, value=4565","layer":2},{"info":"compute binary expreesion, left_input=6339, right_input=4565, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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 = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":0}],"base":15,"result_base":15,"text":"(⊥⫶⩼⫲1559)⊉≛↸⫶⩼⫲1D29⨟⋌⩍⫶⩼⫲1545=NaN","reverse_text":"NaN=(⊥⫶⩼⫲1559)⊉≛↸⫶⩼⫲1D29⨟⋌⩍⫶⩼⫲1545","cot":[{"info":"⊥⫶⩼⫲1559=NaN","layer":1},{"info":"⫶⩼⫲1D29⨟⋌⩍⫶⩼⫲1545=NaN","layer":1},{"info":"NaN⊉≛↸NaN=NaN","layer":0}]}
{"id":210,"expression_no_base_symbol":"$1711$≹⇙⪍$1311$⋷$1584$≎⊠⪸$2667$","expression":"⫶⩼⫲791≹⇙⪍⫶⩼⫲5C6⋷⫶⩼⫲709≎⊠⪸⫶⩼⫲BCC","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":273,"operation_count":3,"complexity_ratio":91.0,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1711,"base":15},"right_expr":{"type":"numeric_atoms","value":1311,"base":15}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1584,"base":15},"right_expr":{"type":"numeric_atoms","value":2667,"base":15}}},"used_operators":["23Mk6UjR3U","AHs5Up7iyr","bJkvcejdHO"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1711","layer":2},{"info":"number node, value=1311","layer":2},{"info":"compute binary expreesion, left_input=1711, right_input=1311, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=1584","layer":2},{"info":"number node, value=2667","layer":2},{"info":"compute binary expreesion, left_input=1584, right_input=2667, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=409783","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=409783, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲791≹⇙⪍⫶⩼⫲5C6⋷⫶⩼⫲709≎⊠⪸⫶⩼⫲BCC=NaN","reverse_text":"NaN=⫶⩼⫲791≹⇙⪍⫶⩼⫲5C6⋷⫶⩼⫲709≎⊠⪸⫶⩼⫲BCC","cot":[{"info":"⫶⩼⫲791≹⇙⪍⫶⩼⫲5C6=NaN","layer":1},{"info":"⫶⩼⫲709≎⊠⪸⫶⩼⫲BCC=⫶⩼⫲8163D","layer":1},{"info":"NaN⋷⫶⩼⫲8163D=NaN","layer":0}]}
{"id":211,"expression_no_base_symbol":"($5704$∧)+⇶⊼($6335$≎⊠⪸$3063$)","expression":"(⫶⩼⫲1A54∧)+⇶⊼(⫶⩼⫲1D25≎⊠⪸⫶⩼⫲D93)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":277,"operation_count":3,"complexity_ratio":92.33333333333333,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":5704,"base":15}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":6335,"base":15},"right_expr":{"type":"numeric_atoms","value":3063,"base":15}}},"used_operators":["TpPTUOHfaN","z63VuFQld9","bJkvcejdHO"],"dependent_operators":["AHs5Up7iyr","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=5704","layer":2},{"info":"compute unary expreesion, input=5704, 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=6335","layer":2},{"info":"number node, value=3063","layer":2},{"info":"compute binary expreesion, left_input=6335, right_input=3063, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1640292","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1640292, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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":15,"result_base":15,"text":"(⫶⩼⫲1A54∧)+⇶⊼(⫶⩼⫲1D25≎⊠⪸⫶⩼⫲D93)=NaN","reverse_text":"NaN=(⫶⩼⫲1A54∧)+⇶⊼(⫶⩼⫲1D25≎⊠⪸⫶⩼⫲D93)","cot":[{"info":"⫶⩼⫲1A54∧=NaN","layer":1},{"info":"⫶⩼⫲1D25≎⊠⪸⫶⩼⫲D93=⫶⩼⫲22602C","layer":1},{"info":"NaN+⇶⊼⫶⩼⫲22602C=NaN","layer":0}]}
{"id":212,"expression_no_base_symbol":"($2084$⊭↱$1797$)⋝⋈⪟$5519$⇷$2345$","expression":"(⫶⩼⫲93E⊭↱⫶⩼⫲7EC)⋝⋈⪟⫶⩼⫲197E⇷⫶⩼⫲A65","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":77281,"operation_count":3,"complexity_ratio":25760.333333333332,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":2084,"base":15},"right_expr":{"type":"numeric_atoms","value":1797,"base":15}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":5519,"base":15},"right_expr":{"type":"numeric_atoms","value":2345,"base":15}}},"used_operators":["2DDjHMKMc0","COABgblf1C","mp7IySMOzn"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"⫶⩼⫲-27E","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2084","layer":2},{"info":"number node, value=1797","layer":2},{"info":"compute binary expreesion, left_input=2084, right_input=1797, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-569","layer":1},{"info":"number node, value=5519","layer":2},{"info":"number node, value=2345","layer":2},{"info":"compute binary expreesion, left_input=5519, right_input=2345, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=4690","layer":1},{"info":"compute binary expreesion, left_input=-569, right_input=4690, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-569","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲93E⊭↱⫶⩼⫲7EC)⋝⋈⪟⫶⩼⫲197E⇷⫶⩼⫲A65=⫶⩼⫲-27E","reverse_text":"⫶⩼⫲-27E=(⫶⩼⫲93E⊭↱⫶⩼⫲7EC)⋝⋈⪟⫶⩼⫲197E⇷⫶⩼⫲A65","cot":[{"info":"⫶⩼⫲93E⊭↱⫶⩼⫲7EC=⫶⩼⫲-27E","layer":1},{"info":"⫶⩼⫲197E⇷⫶⩼⫲A65=⫶⩼⫲15CA","layer":1},{"info":"⫶⩼⫲-27E⋝⋈⪟⫶⩼⫲15CA=⫶⩼⫲-27E","layer":0}]}
{"id":213,"expression_no_base_symbol":"($1852$⇋≉)≭($6905$≣⋋)","expression":"(⫶⩼⫲837⇋≉)≭(⫶⩼⫲20A5≣⋋)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":518,"operation_count":3,"complexity_ratio":172.66666666666666,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":1852,"base":15}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":6905,"base":15}}},"used_operators":["rxpJgHHUmx","XIabStNQrY","Tcnh7f0tEr"],"dependent_operators":["AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A"],"result":"⫶⩼⫲-17","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1852","layer":2},{"info":"compute unary expreesion, input=1852, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=3606","layer":1},{"info":"number node, value=6905","layer":2},{"info":"compute unary expreesion, input=6905, 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=3606, right_input=0, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=-22","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲837⇋≉)≭(⫶⩼⫲20A5≣⋋)=⫶⩼⫲-17","reverse_text":"⫶⩼⫲-17=(⫶⩼⫲837⇋≉)≭(⫶⩼⫲20A5≣⋋)","cot":[{"info":"⫶⩼⫲837⇋≉=⫶⩼⫲1106","layer":1},{"info":"⫶⩼⫲20A5≣⋋=⫶⩼⫲0","layer":1},{"info":"⫶⩼⫲1106≭⫶⩼⫲0=⫶⩼⫲-17","layer":0}]}
{"id":214,"expression_no_base_symbol":"∂(⪲⇎$2090$)","expression":"∂(⪲⇎⫶⩼⫲945)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3,"operation_count":2,"complexity_ratio":1.5,"tree":{"type":"unary","operator":"∂","unary_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":2090,"base":15}}},"used_operators":["Uaa54Peajs","XPYlsWDdGa"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2090","layer":2},{"info":"compute unary expreesion, input=2090, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=4180","layer":1},{"info":"compute unary expreesion, input=4180, 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":15,"result_base":15,"text":"∂(⪲⇎⫶⩼⫲945)=NaN","reverse_text":"NaN=∂(⪲⇎⫶⩼⫲945)","cot":[{"info":"⪲⇎⫶⩼⫲945=⫶⩼⫲138A","layer":1},{"info":"∂⫶⩼⫲138A=NaN","layer":0}]}
{"id":215,"expression_no_base_symbol":"⇁⨣⪵$4667$⪛$3963$","expression":"⇁⨣⪵⫶⩼⫲15B2⪛⫶⩼⫲1293","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5,"operation_count":2,"complexity_ratio":2.5,"tree":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":4667,"base":15},"right_expr":{"type":"numeric_atoms","value":3963,"base":15}}},"used_operators":["inkyxCbjAn","uFcxV4UQCh"],"dependent_operators":["B5M0gjZbta","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=4667","layer":2},{"info":"number node, value=3963","layer":2},{"info":"compute binary expreesion, left_input=4667, right_input=3963, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=704","layer":1},{"info":"compute unary expreesion, input=704, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"⇁⨣⪵⫶⩼⫲15B2⪛⫶⩼⫲1293=NaN","reverse_text":"NaN=⇁⨣⪵⫶⩼⫲15B2⪛⫶⩼⫲1293","cot":[{"info":"⫶⩼⫲15B2⪛⫶⩼⫲1293=⫶⩼⫲31E","layer":1},{"info":"⇁⨣⪵⫶⩼⫲31E=NaN","layer":0}]}
{"id":216,"expression_no_base_symbol":"$5153$⇷$1564$⪨≂$1145$⨽$4508$","expression":"⫶⩼⫲17D8⇷⫶⩼⫲6E4⪨≂⫶⩼⫲515⨽⫶⩼⫲1508","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":73307,"operation_count":3,"complexity_ratio":24435.666666666668,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":5153,"base":15},"right_expr":{"type":"numeric_atoms","value":1564,"base":15}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1145,"base":15},"right_expr":{"type":"numeric_atoms","value":4508,"base":15}}},"used_operators":["sdazOOVcIp","mp7IySMOzn","8HhzD0ZcuI"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"⫶⩼⫲A5EC6D","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=5153","layer":2},{"info":"number node, value=1564","layer":2},{"info":"compute binary expreesion, left_input=5153, right_input=1564, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3128","layer":1},{"info":"number node, value=1145","layer":2},{"info":"number node, value=4508","layer":2},{"info":"compute binary expreesion, left_input=1145, right_input=4508, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-3945285","layer":1},{"info":"compute binary expreesion, left_input=3128, right_input=-3945285, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=7896928","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲17D8⇷⫶⩼⫲6E4⪨≂⫶⩼⫲515⨽⫶⩼⫲1508=⫶⩼⫲A5EC6D","reverse_text":"⫶⩼⫲A5EC6D=⫶⩼⫲17D8⇷⫶⩼⫲6E4⪨≂⫶⩼⫲515⨽⫶⩼⫲1508","cot":[{"info":"⫶⩼⫲17D8⇷⫶⩼⫲6E4=⫶⩼⫲DD8","layer":1},{"info":"⫶⩼⫲515⨽⫶⩼⫲1508=⫶⩼⫲-52DE90","layer":1},{"info":"⫶⩼⫲DD8⪨≂⫶⩼⫲-52DE90=⫶⩼⫲A5EC6D","layer":0}]}
{"id":217,"expression_no_base_symbol":"($4415$⨵⪆$1011$)∲⫓$1261$⪛$1029$","expression":"(⫶⩼⫲1495⨵⪆⫶⩼⫲476)∲⫓⫶⩼⫲591⪛⫶⩼⫲489","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6,"operation_count":3,"complexity_ratio":2.0,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":4415,"base":15},"right_expr":{"type":"numeric_atoms","value":1011,"base":15}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1261,"base":15},"right_expr":{"type":"numeric_atoms","value":1029,"base":15}}},"used_operators":["i8ToyICDmI","2DQ55sFlQl","uFcxV4UQCh"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"⫶⩼⫲AA","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=4415","layer":2},{"info":"number node, value=1011","layer":2},{"info":"compute binary expreesion, left_input=4415, right_input=1011, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=1261","layer":2},{"info":"number node, value=1029","layer":2},{"info":"compute binary expreesion, left_input=1261, right_input=1029, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=232","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=232, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=160","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲1495⨵⪆⫶⩼⫲476)∲⫓⫶⩼⫲591⪛⫶⩼⫲489=⫶⩼⫲AA","reverse_text":"⫶⩼⫲AA=(⫶⩼⫲1495⨵⪆⫶⩼⫲476)∲⫓⫶⩼⫲591⪛⫶⩼⫲489","cot":[{"info":"⫶⩼⫲1495⨵⪆⫶⩼⫲476=⫶⩼⫲AA","layer":1},{"info":"⫶⩼⫲591⪛⫶⩼⫲489=⫶⩼⫲107","layer":1},{"info":"⫶⩼⫲AA∲⫓⫶⩼⫲107=⫶⩼⫲AA","layer":0}]}
{"id":218,"expression_no_base_symbol":"$2413$⊴$4104$⋥≓≎(↥$1739$)","expression":"⫶⩼⫲AAD⊴⫶⩼⫲1339⋥≓≎(↥⫶⩼⫲7AE)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4146,"operation_count":3,"complexity_ratio":1382.0,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2413,"base":15},"right_expr":{"type":"numeric_atoms","value":4104,"base":15}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":1739,"base":15}}},"used_operators":["Qy55tPpLXF","Nsiff2A1zJ","A8NUZmVepG"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","k8jYdgA6NY"],"result":"⫶⩼⫲47","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=2413","layer":2},{"info":"number node, value=4104","layer":2},{"info":"compute binary expreesion, left_input=2413, right_input=4104, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=1739","layer":2},{"info":"compute unary expreesion, input=1739, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=5","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=5, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲AAD⊴⫶⩼⫲1339⋥≓≎(↥⫶⩼⫲7AE)=⫶⩼⫲47","reverse_text":"⫶⩼⫲47=⫶⩼⫲AAD⊴⫶⩼⫲1339⋥≓≎(↥⫶⩼⫲7AE)","cot":[{"info":"⫶⩼⫲AAD⊴⫶⩼⫲1339=NaN","layer":1},{"info":"↥⫶⩼⫲7AE=⫶⩼⫲5","layer":1},{"info":"NaN⋥≓≎⫶⩼⫲5=⫶⩼⫲47","layer":0}]}
{"id":219,"expression_no_base_symbol":"($1681$⊦⊿)≧⫂∧($2180$*$3289$)","expression":"(⫶⩼⫲771⊦⊿)≧⫂∧(⫶⩼⫲9A5*⫶⩼⫲E94)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2187,"operation_count":3,"complexity_ratio":729.0,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":1681,"base":15}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2180,"base":15},"right_expr":{"type":"numeric_atoms","value":3289,"base":15}}},"used_operators":["Ph9nP6C5qx","14qkJME0vr","9HNa5Wba9A"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"⫶⩼⫲96949C","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1681","layer":2},{"info":"compute unary expreesion, input=1681, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-5122","layer":1},{"info":"number node, value=2180","layer":2},{"info":"number node, value=3289","layer":2},{"info":"compute binary expreesion, left_input=2180, right_input=3289, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=7170020","layer":1},{"info":"compute binary expreesion, left_input=-5122, right_input=7170020, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=7169547","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲771⊦⊿)≧⫂∧(⫶⩼⫲9A5*⫶⩼⫲E94)=⫶⩼⫲96949C","reverse_text":"⫶⩼⫲96949C=(⫶⩼⫲771⊦⊿)≧⫂∧(⫶⩼⫲9A5*⫶⩼⫲E94)","cot":[{"info":"⫶⩼⫲771⊦⊿=⫶⩼⫲-17B7","layer":1},{"info":"⫶⩼⫲9A5*⫶⩼⫲E94=⫶⩼⫲9696B5","layer":1},{"info":"⫶⩼⫲-17B7≧⫂∧⫶⩼⫲9696B5=⫶⩼⫲96949C","layer":0}]}
{"id":220,"expression_no_base_symbol":"($4210$⋷$1757$)⪐","expression":"(⫶⩼⫲13AA⋷⫶⩼⫲7C2)⪐","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5,"operation_count":2,"complexity_ratio":2.5,"tree":{"type":"unary","operator":"⪐","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":4210,"base":15},"right_expr":{"type":"numeric_atoms","value":1757,"base":15}}},"used_operators":["eH2TOUuTDT","23Mk6UjR3U"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⫶⩼⫲-62C","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=4210","layer":2},{"info":"number node, value=1757","layer":2},{"info":"compute binary expreesion, left_input=4210, right_input=1757, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-696","layer":1},{"info":"compute unary expreesion, input=-696, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=-1392","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲13AA⋷⫶⩼⫲7C2)⪐=⫶⩼⫲-62C","reverse_text":"⫶⩼⫲-62C=(⫶⩼⫲13AA⋷⫶⩼⫲7C2)⪐","cot":[{"info":"⫶⩼⫲13AA⋷⫶⩼⫲7C2=⫶⩼⫲-316","layer":1},{"info":"⫶⩼⫲-316⪐=⫶⩼⫲-62C","layer":0}]}
{"id":221,"expression_no_base_symbol":"(↯⪼$1268$)⪛($2125$≎⊠⪸$1795$)","expression":"(↯⪼⫶⩼⫲598)⪛(⫶⩼⫲96A≎⊠⪸⫶⩼⫲7EA)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":305,"operation_count":3,"complexity_ratio":101.66666666666667,"tree":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1268,"base":15}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2125,"base":15},"right_expr":{"type":"numeric_atoms","value":1795,"base":15}}},"used_operators":["uFcxV4UQCh","8jW3W4yZS5","bJkvcejdHO"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"⫶⩼⫲ACDDB","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1268","layer":2},{"info":"compute unary expreesion, input=1268, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":1},{"info":"number node, value=2125","layer":2},{"info":"number node, value=1795","layer":2},{"info":"compute binary expreesion, left_input=2125, right_input=1795, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=549902","layer":1},{"info":"compute binary expreesion, left_input=-21, right_input=549902, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=549881","layer":0}],"base":15,"result_base":15,"text":"(↯⪼⫶⩼⫲598)⪛(⫶⩼⫲96A≎⊠⪸⫶⩼⫲7EA)=⫶⩼⫲ACDDB","reverse_text":"⫶⩼⫲ACDDB=(↯⪼⫶⩼⫲598)⪛(⫶⩼⫲96A≎⊠⪸⫶⩼⫲7EA)","cot":[{"info":"↯⪼⫶⩼⫲598=⫶⩼⫲-16","layer":1},{"info":"⫶⩼⫲96A≎⊠⪸⫶⩼⫲7EA=⫶⩼⫲ACE02","layer":1},{"info":"⫶⩼⫲-16⪛⫶⩼⫲ACE02=⫶⩼⫲ACDDB","layer":0}]}
{"id":222,"expression_no_base_symbol":"$3323$⨟⋌⩍$1739$↺(⪝⪂⫅$1001$)","expression":"⫶⩼⫲EB8⨟⋌⩍⫶⩼⫲7AE↺(⪝⪂⫅⫶⩼⫲46B)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":153,"operation_count":3,"complexity_ratio":51.0,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":3323,"base":15},"right_expr":{"type":"numeric_atoms","value":1739,"base":15}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":1001,"base":15}}},"used_operators":["7j4O788W3g","rGHVDoGpnC","XTarYq4gQB"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","9HNa5Wba9A","8w2t5hMYqp"],"result":"⫶⩼⫲-2D8EC","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=3323","layer":2},{"info":"number node, value=1739","layer":2},{"info":"compute binary expreesion, left_input=3323, right_input=1739, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=1001","layer":2},{"info":"compute unary expreesion, input=1001, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-147147","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-147147, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-147147","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲EB8⨟⋌⩍⫶⩼⫲7AE↺(⪝⪂⫅⫶⩼⫲46B)=⫶⩼⫲-2D8EC","reverse_text":"⫶⩼⫲-2D8EC=⫶⩼⫲EB8⨟⋌⩍⫶⩼⫲7AE↺(⪝⪂⫅⫶⩼⫲46B)","cot":[{"info":"⫶⩼⫲EB8⨟⋌⩍⫶⩼⫲7AE=NaN","layer":1},{"info":"⪝⪂⫅⫶⩼⫲46B=⫶⩼⫲-2D8EC","layer":1},{"info":"NaN↺⫶⩼⫲-2D8EC=⫶⩼⫲-2D8EC","layer":0}]}
{"id":223,"expression_no_base_symbol":"(⫛⫱⨽$4843$)⨽($3380$∲⫓$6358$)","expression":"(⫛⫱⨽⫶⩼⫲167D)⨽(⫶⩼⫲1005∲⫓⫶⩼⫲1D3D)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1434,"operation_count":3,"complexity_ratio":478.0,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":4843,"base":15}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":3380,"base":15},"right_expr":{"type":"numeric_atoms","value":6358,"base":15}}},"used_operators":["8HhzD0ZcuI","DlLNRPXxWL","i8ToyICDmI"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd"],"result":"⫶⩼⫲5C9","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=4843","layer":2},{"info":"compute unary expreesion, input=4843, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":1},{"info":"number node, value=3380","layer":2},{"info":"number node, value=6358","layer":2},{"info":"compute binary expreesion, left_input=3380, right_input=6358, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=1314","layer":0}],"base":15,"result_base":15,"text":"(⫛⫱⨽⫶⩼⫲167D)⨽(⫶⩼⫲1005∲⫓⫶⩼⫲1D3D)=⫶⩼⫲5C9","reverse_text":"⫶⩼⫲5C9=(⫛⫱⨽⫶⩼⫲167D)⨽(⫶⩼⫲1005∲⫓⫶⩼⫲1D3D)","cot":[{"info":"⫛⫱⨽⫶⩼⫲167D=⫶⩼⫲0","layer":1},{"info":"⫶⩼⫲1005∲⫓⫶⩼⫲1D3D=⫶⩼⫲0","layer":1},{"info":"⫶⩼⫲0⨽⫶⩼⫲0=⫶⩼⫲5C9","layer":0}]}
{"id":224,"expression_no_base_symbol":"($2154$⨸⪁$5408$)⋝⋈⪟($1870$⋷$5552$)","expression":"(⫶⩼⫲989⨸⪁⫶⩼⫲1908)⋝⋈⪟(⫶⩼⫲84A⋷⫶⩼⫲19A2)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":9,"operation_count":3,"complexity_ratio":3.0,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2154,"base":15},"right_expr":{"type":"numeric_atoms","value":5408,"base":15}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1870,"base":15},"right_expr":{"type":"numeric_atoms","value":5552,"base":15}}},"used_operators":["2DDjHMKMc0","g55IO6H4Gj","23Mk6UjR3U"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd"],"result":"⫶⩼⫲4734","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=2154","layer":2},{"info":"number node, value=5408","layer":2},{"info":"compute binary expreesion, left_input=2154, right_input=5408, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=15124","layer":1},{"info":"number node, value=1870","layer":2},{"info":"number node, value=5552","layer":2},{"info":"compute binary expreesion, left_input=1870, right_input=5552, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=9234","layer":1},{"info":"compute binary expreesion, left_input=15124, right_input=9234, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=15124","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲989⨸⪁⫶⩼⫲1908)⋝⋈⪟(⫶⩼⫲84A⋷⫶⩼⫲19A2)=⫶⩼⫲4734","reverse_text":"⫶⩼⫲4734=(⫶⩼⫲989⨸⪁⫶⩼⫲1908)⋝⋈⪟(⫶⩼⫲84A⋷⫶⩼⫲19A2)","cot":[{"info":"⫶⩼⫲989⨸⪁⫶⩼⫲1908=⫶⩼⫲4734","layer":1},{"info":"⫶⩼⫲84A⋷⫶⩼⫲19A2=⫶⩼⫲2B09","layer":1},{"info":"⫶⩼⫲4734⋝⋈⪟⫶⩼⫲2B09=⫶⩼⫲4734","layer":0}]}
{"id":225,"expression_no_base_symbol":"∥⊫($7030$⇼⇔∾$1139$)","expression":"∥⊫(⫶⩼⫲213A⇼⇔∾⫶⩼⫲50E)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5,"operation_count":2,"complexity_ratio":2.5,"tree":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":7030,"base":15},"right_expr":{"type":"numeric_atoms","value":1139,"base":15}}},"used_operators":["P8v4zCKN1o","tifHPKVTfV"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⫶⩼⫲-3A","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=7030","layer":2},{"info":"number node, value=1139","layer":2},{"info":"compute binary expreesion, left_input=7030, right_input=1139, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-5891","layer":1},{"info":"compute unary expreesion, input=-5891, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=-55","layer":0}],"base":15,"result_base":15,"text":"∥⊫(⫶⩼⫲213A⇼⇔∾⫶⩼⫲50E)=⫶⩼⫲-3A","reverse_text":"⫶⩼⫲-3A=∥⊫(⫶⩼⫲213A⇼⇔∾⫶⩼⫲50E)","cot":[{"info":"⫶⩼⫲213A⇼⇔∾⫶⩼⫲50E=⫶⩼⫲-1B2B","layer":1},{"info":"∥⊫⫶⩼⫲-1B2B=⫶⩼⫲-3A","layer":0}]}
{"id":226,"expression_no_base_symbol":"$2912$∀⇚≩$1194$⪨≂$1390$⨸⪁$7545$","expression":"⫶⩼⫲CE2∀⇚≩⫶⩼⫲549⪨≂⫶⩼⫲62A⨸⪁⫶⩼⫲2380","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":20392,"operation_count":3,"complexity_ratio":6797.333333333333,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2912,"base":15},"right_expr":{"type":"numeric_atoms","value":1194,"base":15}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1390,"base":15},"right_expr":{"type":"numeric_atoms","value":7545,"base":15}}},"used_operators":["sdazOOVcIp","LRNGc0VcxI","g55IO6H4Gj"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=2912","layer":2},{"info":"number node, value=1194","layer":2},{"info":"compute binary expreesion, left_input=2912, right_input=1194, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=1390","layer":2},{"info":"number node, value=7545","layer":2},{"info":"compute binary expreesion, left_input=1390, right_input=7545, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=17870","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=17870, op_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":15,"result_base":15,"text":"⫶⩼⫲CE2∀⇚≩⫶⩼⫲549⪨≂⫶⩼⫲62A⨸⪁⫶⩼⫲2380=NaN","reverse_text":"NaN=⫶⩼⫲CE2∀⇚≩⫶⩼⫲549⪨≂⫶⩼⫲62A⨸⪁⫶⩼⫲2380","cot":[{"info":"⫶⩼⫲CE2∀⇚≩⫶⩼⫲549=NaN","layer":1},{"info":"⫶⩼⫲62A⨸⪁⫶⩼⫲2380=⫶⩼⫲5465","layer":1},{"info":"NaN⪨≂⫶⩼⫲5465=NaN","layer":0}]}
{"id":227,"expression_no_base_symbol":"$3231$⩨$1258$⪨≂$2395$∼$1615$","expression":"⫶⩼⫲E56⩨⫶⩼⫲58D⪨≂⫶⩼⫲A9A∼⫶⩼⫲72A","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":57,"operation_count":3,"complexity_ratio":19.0,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":3231,"base":15},"right_expr":{"type":"numeric_atoms","value":1258,"base":15}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2395,"base":15},"right_expr":{"type":"numeric_atoms","value":1615,"base":15}}},"used_operators":["sdazOOVcIp","2DlMacCsIx","DyGG3AbaNP"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=3231","layer":2},{"info":"number node, value=1258","layer":2},{"info":"compute binary expreesion, left_input=3231, right_input=1258, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":1},{"info":"number node, value=2395","layer":2},{"info":"number node, value=1615","layer":2},{"info":"compute binary expreesion, left_input=2395, right_input=1615, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 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":15,"result_base":15,"text":"⫶⩼⫲E56⩨⫶⩼⫲58D⪨≂⫶⩼⫲A9A∼⫶⩼⫲72A=NaN","reverse_text":"NaN=⫶⩼⫲E56⩨⫶⩼⫲58D⪨≂⫶⩼⫲A9A∼⫶⩼⫲72A","cot":[{"info":"⫶⩼⫲E56⩨⫶⩼⫲58D=⫶⩼⫲0","layer":1},{"info":"⫶⩼⫲A9A∼⫶⩼⫲72A=NaN","layer":1},{"info":"⫶⩼⫲0⪨≂NaN=NaN","layer":0}]}
{"id":228,"expression_no_base_symbol":"↩(⪲⇎$3976$)","expression":"↩(⪲⇎⫶⩼⫲12A1)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":18,"operation_count":2,"complexity_ratio":9.0,"tree":{"type":"unary","operator":"↩","unary_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":3976,"base":15}}},"used_operators":["jLgFTUHLKL","XPYlsWDdGa"],"dependent_operators":["sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫶⩼⫲-1305B","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=3976","layer":2},{"info":"compute unary expreesion, input=3976, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=7952","layer":1},{"info":"compute unary expreesion, input=7952, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-60836","layer":0}],"base":15,"result_base":15,"text":"↩(⪲⇎⫶⩼⫲12A1)=⫶⩼⫲-1305B","reverse_text":"⫶⩼⫲-1305B=↩(⪲⇎⫶⩼⫲12A1)","cot":[{"info":"⪲⇎⫶⩼⫲12A1=⫶⩼⫲2552","layer":1},{"info":"↩⫶⩼⫲2552=⫶⩼⫲-1305B","layer":0}]}
{"id":229,"expression_no_base_symbol":"$2678$⨎$2901$⨳⩥⨓$1190$⨽$7581$","expression":"⫶⩼⫲BD8⨎⫶⩼⫲CD6⨳⩥⨓⫶⩼⫲545⨽⫶⩼⫲23A6","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1203,"operation_count":3,"complexity_ratio":401.0,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2678,"base":15},"right_expr":{"type":"numeric_atoms","value":2901,"base":15}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1190,"base":15},"right_expr":{"type":"numeric_atoms","value":7581,"base":15}}},"used_operators":["nCS4ZIUYfx","rJVOvQCfKK","8HhzD0ZcuI"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"⫶⩼⫲-595E70","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2678","layer":2},{"info":"number node, value=2901","layer":2},{"info":"compute binary expreesion, left_input=2678, right_input=2901, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2901","layer":1},{"info":"number node, value=1190","layer":2},{"info":"number node, value=7581","layer":2},{"info":"compute binary expreesion, left_input=1190, right_input=7581, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-4269729","layer":1},{"info":"compute binary expreesion, left_input=2901, right_input=-4269729, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-4272630","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲BD8⨎⫶⩼⫲CD6⨳⩥⨓⫶⩼⫲545⨽⫶⩼⫲23A6=⫶⩼⫲-595E70","reverse_text":"⫶⩼⫲-595E70=⫶⩼⫲BD8⨎⫶⩼⫲CD6⨳⩥⨓⫶⩼⫲545⨽⫶⩼⫲23A6","cot":[{"info":"⫶⩼⫲BD8⨎⫶⩼⫲CD6=⫶⩼⫲CD6","layer":1},{"info":"⫶⩼⫲545⨽⫶⩼⫲23A6=⫶⩼⫲-595189","layer":1},{"info":"⫶⩼⫲CD6⨳⩥⨓⫶⩼⫲-595189=⫶⩼⫲-595E70","layer":0}]}
{"id":230,"expression_no_base_symbol":"($5261$≫≃)%$3512$↬$6820$","expression":"(⫶⩼⫲185B≫≃)%⫶⩼⫲1092↬⫶⩼⫲204A","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":9,"operation_count":3,"complexity_ratio":3.0,"tree":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":5261,"base":15}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":3512,"base":15},"right_expr":{"type":"numeric_atoms","value":6820,"base":15}}},"used_operators":["k8jYdgA6NY","X99M06cbEe","B5M0gjZbta"],"dependent_operators":["rysDP5nf3Z","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=5261","layer":2},{"info":"compute unary expreesion, input=5261, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=11923","layer":1},{"info":"number node, value=3512","layer":2},{"info":"number node, value=6820","layer":2},{"info":"compute binary expreesion, left_input=3512, right_input=6820, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=11923, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲185B≫≃)%⫶⩼⫲1092↬⫶⩼⫲204A=NaN","reverse_text":"NaN=(⫶⩼⫲185B≫≃)%⫶⩼⫲1092↬⫶⩼⫲204A","cot":[{"info":"⫶⩼⫲185B≫≃=⫶⩼⫲37ED","layer":1},{"info":"⫶⩼⫲1092↬⫶⩼⫲204A=NaN","layer":1},{"info":"⫶⩼⫲37ED%NaN=NaN","layer":0}]}
{"id":231,"expression_no_base_symbol":"($3011$⨪↰⇹$1383$)⪢(↥$2506$)","expression":"(⫶⩼⫲D5B⨪↰⇹⫶⩼⫲623)⪢(↥⫶⩼⫲B21)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6506,"operation_count":3,"complexity_ratio":2168.6666666666665,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":3011,"base":15},"right_expr":{"type":"numeric_atoms","value":1383,"base":15}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":2506,"base":15}}},"used_operators":["dWAJyo7jo9","tmPS8pqC7x","A8NUZmVepG"],"dependent_operators":["k8jYdgA6NY","rJVOvQCfKK","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=3011","layer":2},{"info":"number node, value=1383","layer":2},{"info":"compute binary expreesion, left_input=3011, right_input=1383, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=3011","layer":1},{"info":"number node, value=2506","layer":2},{"info":"compute unary expreesion, input=2506, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=7","layer":1},{"info":"compute binary expreesion, left_input=3011, right_input=7, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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":15,"result_base":15,"text":"(⫶⩼⫲D5B⨪↰⇹⫶⩼⫲623)⪢(↥⫶⩼⫲B21)=NaN","reverse_text":"NaN=(⫶⩼⫲D5B⨪↰⇹⫶⩼⫲623)⪢(↥⫶⩼⫲B21)","cot":[{"info":"⫶⩼⫲D5B⨪↰⇹⫶⩼⫲623=⫶⩼⫲D5B","layer":1},{"info":"↥⫶⩼⫲B21=⫶⩼⫲7","layer":1},{"info":"⫶⩼⫲D5B⪢⫶⩼⫲7=NaN","layer":0}]}
{"id":232,"expression_no_base_symbol":"(⨰⫟⨤$1709$)⪨≂(↔$1946$)","expression":"(⨰⫟⨤⫶⩼⫲78E)⪨≂(↔⫶⩼⫲89B)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6008,"operation_count":3,"complexity_ratio":2002.6666666666667,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":1709,"base":15}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":1946,"base":15}}},"used_operators":["sdazOOVcIp","Tw270M8GLb","ruOEQAzv1W"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1709","layer":2},{"info":"compute unary expreesion, input=1709, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":1},{"info":"number node, value=1946","layer":2},{"info":"compute unary expreesion, input=1946, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-1673","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-1673, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":0}],"base":15,"result_base":15,"text":"(⨰⫟⨤⫶⩼⫲78E)⪨≂(↔⫶⩼⫲89B)=NaN","reverse_text":"NaN=(⨰⫟⨤⫶⩼⫲78E)⪨≂(↔⫶⩼⫲89B)","cot":[{"info":"⨰⫟⨤⫶⩼⫲78E=NaN","layer":1},{"info":"↔⫶⩼⫲89B=⫶⩼⫲-768","layer":1},{"info":"NaN⪨≂⫶⩼⫲-768=NaN","layer":0}]}
{"id":233,"expression_no_base_symbol":"$1588$⋝⋈⪟$3859$⨵⪆($1732$⫡⨏$1433$)","expression":"⫶⩼⫲70D⋝⋈⪟⫶⩼⫲1224⨵⪆(⫶⩼⫲7A7⫡⨏⫶⩼⫲658)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":11,"operation_count":3,"complexity_ratio":3.6666666666666665,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1588,"base":15},"right_expr":{"type":"numeric_atoms","value":3859,"base":15}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1732,"base":15},"right_expr":{"type":"numeric_atoms","value":1433,"base":15}}},"used_operators":["2DQ55sFlQl","2DDjHMKMc0","QMFrweE19q"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⫶⩼⫲AA","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1588","layer":2},{"info":"number node, value=3859","layer":2},{"info":"compute binary expreesion, left_input=1588, right_input=3859, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1588","layer":1},{"info":"number node, value=1732","layer":2},{"info":"number node, value=1433","layer":2},{"info":"compute binary expreesion, left_input=1732, right_input=1433, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=12309","layer":1},{"info":"compute binary expreesion, left_input=1588, right_input=12309, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲70D⋝⋈⪟⫶⩼⫲1224⨵⪆(⫶⩼⫲7A7⫡⨏⫶⩼⫲658)=⫶⩼⫲AA","reverse_text":"⫶⩼⫲AA=⫶⩼⫲70D⋝⋈⪟⫶⩼⫲1224⨵⪆(⫶⩼⫲7A7⫡⨏⫶⩼⫲658)","cot":[{"info":"⫶⩼⫲70D⋝⋈⪟⫶⩼⫲1224=⫶⩼⫲70D","layer":1},{"info":"⫶⩼⫲7A7⫡⨏⫶⩼⫲658=⫶⩼⫲39A9","layer":1},{"info":"⫶⩼⫲70D⨵⪆⫶⩼⫲39A9=⫶⩼⫲AA","layer":0}]}
{"id":234,"expression_no_base_symbol":"↔$4864$⊴$2335$","expression":"↔⫶⩼⫲1694⊴⫶⩼⫲A5A","highest_n_order":3,"priority_hierarchical_complexity":1,"normalized_expansion_degree":4758,"operation_count":2,"complexity_ratio":2379.0,"tree":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":4864,"base":15},"right_expr":{"type":"numeric_atoms","value":2335,"base":15}}},"used_operators":["ruOEQAzv1W","Nsiff2A1zJ"],"dependent_operators":["XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","dWAJyo7jo9","14qkJME0vr"],"result":"⫶⩼⫲-8E","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=4864","layer":2},{"info":"number node, value=2335","layer":2},{"info":"compute binary expreesion, left_input=4864, right_input=2335, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":0}],"base":15,"result_base":15,"text":"↔⫶⩼⫲1694⊴⫶⩼⫲A5A=⫶⩼⫲-8E","reverse_text":"⫶⩼⫲-8E=↔⫶⩼⫲1694⊴⫶⩼⫲A5A","cot":[{"info":"⫶⩼⫲1694⊴⫶⩼⫲A5A=NaN","layer":1},{"info":"↔NaN=⫶⩼⫲-8E","layer":0}]}
{"id":235,"expression_no_base_symbol":"($2508$⊘)⪨≂$3705$≎⊠⪸$6545$","expression":"(⫶⩼⫲B23⊘)⪨≂⫶⩼⫲1170≎⊠⪸⫶⩼⫲1E15","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":294,"operation_count":3,"complexity_ratio":98.0,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":2508,"base":15}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":3705,"base":15},"right_expr":{"type":"numeric_atoms","value":6545,"base":15}}},"used_operators":["sdazOOVcIp","gu96TGCTMs","bJkvcejdHO"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"⫶⩼⫲-27D512","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2508","layer":2},{"info":"compute unary expreesion, input=2508, 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=3705","layer":2},{"info":"number node, value=6545","layer":2},{"info":"compute binary expreesion, left_input=3705, right_input=6545, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=959122","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=959122, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-1918142","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲B23⊘)⪨≂⫶⩼⫲1170≎⊠⪸⫶⩼⫲1E15=⫶⩼⫲-27D512","reverse_text":"⫶⩼⫲-27D512=(⫶⩼⫲B23⊘)⪨≂⫶⩼⫲1170≎⊠⪸⫶⩼⫲1E15","cot":[{"info":"⫶⩼⫲B23⊘=⫶⩼⫲0","layer":1},{"info":"⫶⩼⫲1170≎⊠⪸⫶⩼⫲1E15=⫶⩼⫲13E2B7","layer":1},{"info":"⫶⩼⫲0⪨≂⫶⩼⫲13E2B7=⫶⩼⫲-27D512","layer":0}]}
{"id":236,"expression_no_base_symbol":"($4084$%$1528$)∸","expression":"(⫶⩼⫲1324%⫶⩼⫲6BD)∸","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":179,"operation_count":2,"complexity_ratio":89.5,"tree":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":4084,"base":15},"right_expr":{"type":"numeric_atoms","value":1528,"base":15}}},"used_operators":["o20kRiQErp","k8jYdgA6NY"],"dependent_operators":["tmPS8pqC7x","rysDP5nf3Z"],"result":"⫶⩼⫲BC","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=4084","layer":2},{"info":"number node, value=1528","layer":2},{"info":"compute binary expreesion, left_input=4084, right_input=1528, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1028","layer":1},{"info":"compute unary expreesion, input=1028, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲1324%⫶⩼⫲6BD)∸=⫶⩼⫲BC","reverse_text":"⫶⩼⫲BC=(⫶⩼⫲1324%⫶⩼⫲6BD)∸","cot":[{"info":"⫶⩼⫲1324%⫶⩼⫲6BD=⫶⩼⫲488","layer":1},{"info":"⫶⩼⫲488∸=⫶⩼⫲BC","layer":0}]}
{"id":237,"expression_no_base_symbol":"$6111$∼$2139$⩚⊴⇥($1045$≋⫹)","expression":"⫶⩼⫲1C26∼⫶⩼⫲979⩚⊴⇥(⫶⩼⫲49A≋⫹)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":127,"operation_count":3,"complexity_ratio":42.333333333333336,"tree":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":6111,"base":15},"right_expr":{"type":"numeric_atoms","value":2139,"base":15}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":1045,"base":15}}},"used_operators":["NTOWxs364D","DyGG3AbaNP","N41Kp7NANJ"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=6111","layer":2},{"info":"number node, value=2139","layer":2},{"info":"compute binary expreesion, left_input=6111, right_input=2139, 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=1045","layer":2},{"info":"compute unary expreesion, input=1045, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-2090","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-2090, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲1C26∼⫶⩼⫲979⩚⊴⇥(⫶⩼⫲49A≋⫹)=NaN","reverse_text":"NaN=⫶⩼⫲1C26∼⫶⩼⫲979⩚⊴⇥(⫶⩼⫲49A≋⫹)","cot":[{"info":"⫶⩼⫲1C26∼⫶⩼⫲979=NaN","layer":1},{"info":"⫶⩼⫲49A≋⫹=⫶⩼⫲-945","layer":1},{"info":"NaN⩚⊴⇥⫶⩼⫲-945=NaN","layer":0}]}
{"id":238,"expression_no_base_symbol":"($4024$≦≮≮)⪘⫢($4740$+⇶⊼$7206$)","expression":"(⫶⩼⫲12D4≦≮≮)⪘⫢(⫶⩼⫲1610+⇶⊼⫶⩼⫲2206)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":13,"operation_count":3,"complexity_ratio":4.333333333333333,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":4024,"base":15}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":4740,"base":15},"right_expr":{"type":"numeric_atoms","value":7206,"base":15}}},"used_operators":["oacrs7FA3X","D4vGDi5EA2","TpPTUOHfaN"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=4024","layer":2},{"info":"compute unary expreesion, input=4024, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-12072","layer":1},{"info":"number node, value=4740","layer":2},{"info":"number node, value=7206","layer":2},{"info":"compute binary expreesion, left_input=4740, right_input=7206, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=-12072, 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":15,"result_base":15,"text":"(⫶⩼⫲12D4≦≮≮)⪘⫢(⫶⩼⫲1610+⇶⊼⫶⩼⫲2206)=NaN","reverse_text":"NaN=(⫶⩼⫲12D4≦≮≮)⪘⫢(⫶⩼⫲1610+⇶⊼⫶⩼⫲2206)","cot":[{"info":"⫶⩼⫲12D4≦≮≮=⫶⩼⫲-389C","layer":1},{"info":"⫶⩼⫲1610+⇶⊼⫶⩼⫲2206=NaN","layer":1},{"info":"⫶⩼⫲-389C⪘⫢NaN=NaN","layer":0}]}
{"id":239,"expression_no_base_symbol":"($4722$⪄$1979$)≹⇙⪍($5579$⨳⩥⨓$1544$)","expression":"(⫶⩼⫲15EC⪄⫶⩼⫲8BE)≹⇙⪍(⫶⩼⫲19BE⨳⩥⨓⫶⩼⫲6CE)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":99,"operation_count":3,"complexity_ratio":33.0,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":4722,"base":15},"right_expr":{"type":"numeric_atoms","value":1979,"base":15}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":5579,"base":15},"right_expr":{"type":"numeric_atoms","value":1544,"base":15}}},"used_operators":["AHs5Up7iyr","SUmda5xLS4","nCS4ZIUYfx"],"dependent_operators":["dWAJyo7jo9","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=4722","layer":2},{"info":"number node, value=1979","layer":2},{"info":"compute binary expreesion, left_input=4722, right_input=1979, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-702861","layer":1},{"info":"number node, value=5579","layer":2},{"info":"number node, value=1544","layer":2},{"info":"compute binary expreesion, left_input=5579, right_input=1544, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-4035","layer":1},{"info":"compute binary expreesion, left_input=-702861, right_input=-4035, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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":15,"result_base":15,"text":"(⫶⩼⫲15EC⪄⫶⩼⫲8BE)≹⇙⪍(⫶⩼⫲19BE⨳⩥⨓⫶⩼⫲6CE)=NaN","reverse_text":"NaN=(⫶⩼⫲15EC⪄⫶⩼⫲8BE)≹⇙⪍(⫶⩼⫲19BE⨳⩥⨓⫶⩼⫲6CE)","cot":[{"info":"⫶⩼⫲15EC⪄⫶⩼⫲8BE=⫶⩼⫲-DD3C6","layer":1},{"info":"⫶⩼⫲19BE⨳⩥⨓⫶⩼⫲6CE=⫶⩼⫲-12E0","layer":1},{"info":"⫶⩼⫲-DD3C6≹⇙⪍⫶⩼⫲-12E0=NaN","layer":0}]}
{"id":240,"expression_no_base_symbol":"(⪝⪂⫅$2264$)⩚⊴⇥(↣≠⋷$5714$)","expression":"(⪝⪂⫅⫶⩼⫲A0E)⩚⊴⇥(↣≠⋷⫶⩼⫲1A5E)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":156,"operation_count":3,"complexity_ratio":52.0,"tree":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":2264,"base":15}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":5714,"base":15}}},"used_operators":["NTOWxs364D","XTarYq4gQB","Asc51vEJeQ"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","9HNa5Wba9A","8w2t5hMYqp","XhwjNDsVaA","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2264","layer":2},{"info":"compute unary expreesion, input=2264, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-332808","layer":1},{"info":"number node, value=5714","layer":2},{"info":"compute unary expreesion, input=5714, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-332808, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"(⪝⪂⫅⫶⩼⫲A0E)⩚⊴⇥(↣≠⋷⫶⩼⫲1A5E)=NaN","reverse_text":"NaN=(⪝⪂⫅⫶⩼⫲A0E)⩚⊴⇥(↣≠⋷⫶⩼⫲1A5E)","cot":[{"info":"⪝⪂⫅⫶⩼⫲A0E=⫶⩼⫲-68923","layer":1},{"info":"↣≠⋷⫶⩼⫲1A5E=NaN","layer":1},{"info":"⫶⩼⫲-68923⩚⊴⇥NaN=NaN","layer":0}]}
{"id":241,"expression_no_base_symbol":"(-$4830$)⪨≂(∥⊫$1766$)","expression":"(-⫶⩼⫲1670)⪨≂(∥⊫⫶⩼⫲7CB)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":10,"operation_count":3,"complexity_ratio":3.3333333333333335,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":4830,"base":15}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":1766,"base":15}}},"used_operators":["sdazOOVcIp","t8gj7n24qd","P8v4zCKN1o"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⫶⩼⫲-45D6","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=4830","layer":2},{"info":"compute unary expreesion, input=4830, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-4830","layer":1},{"info":"number node, value=1766","layer":2},{"info":"compute unary expreesion, input=1766, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2634","layer":1},{"info":"compute binary expreesion, left_input=-4830, 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=-14826","layer":0}],"base":15,"result_base":15,"text":"(-⫶⩼⫲1670)⪨≂(∥⊫⫶⩼⫲7CB)=⫶⩼⫲-45D6","reverse_text":"⫶⩼⫲-45D6=(-⫶⩼⫲1670)⪨≂(∥⊫⫶⩼⫲7CB)","cot":[{"info":"-⫶⩼⫲1670=⫶⩼⫲-1670","layer":1},{"info":"∥⊫⫶⩼⫲7CB=⫶⩼⫲BA9","layer":1},{"info":"⫶⩼⫲-1670⪨≂⫶⩼⫲BA9=⫶⩼⫲-45D6","layer":0}]}
{"id":242,"expression_no_base_symbol":"($4704$⪠⩆⊳)⊭↱$4096$∀⇚≩$5804$","expression":"(⫶⩼⫲15D9⪠⩆⊳)⊭↱⫶⩼⫲1331∀⇚≩⫶⩼⫲1ABE","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":28684,"operation_count":3,"complexity_ratio":9561.333333333334,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":4704,"base":15}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":4096,"base":15},"right_expr":{"type":"numeric_atoms","value":5804,"base":15}}},"used_operators":["COABgblf1C","JLbD19bQDL","LRNGc0VcxI"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=4704","layer":2},{"info":"compute unary expreesion, input=4704, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":1},{"info":"number node, value=4096","layer":2},{"info":"number node, value=5804","layer":2},{"info":"compute binary expreesion, left_input=4096, right_input=5804, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲15D9⪠⩆⊳)⊭↱⫶⩼⫲1331∀⇚≩⫶⩼⫲1ABE=NaN","reverse_text":"NaN=(⫶⩼⫲15D9⪠⩆⊳)⊭↱⫶⩼⫲1331∀⇚≩⫶⩼⫲1ABE","cot":[{"info":"⫶⩼⫲15D9⪠⩆⊳=⫶⩼⫲0","layer":1},{"info":"⫶⩼⫲1331∀⇚≩⫶⩼⫲1ABE=NaN","layer":1},{"info":"⫶⩼⫲0⊭↱NaN=NaN","layer":0}]}
{"id":243,"expression_no_base_symbol":"↥($4423$⫩⊇)","expression":"↥(⫶⩼⫲149D⫩⊇)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":87,"operation_count":2,"complexity_ratio":43.5,"tree":{"type":"unary","operator":"↥","unary_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":4423,"base":15}}},"used_operators":["A8NUZmVepG","BjRHVeLaeN"],"dependent_operators":["k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd"],"result":"⫶⩼⫲5","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=4423","layer":2},{"info":"compute unary expreesion, input=4423, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-4381","layer":1},{"info":"compute unary expreesion, input=-4381, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=5","layer":0}],"base":15,"result_base":15,"text":"↥(⫶⩼⫲149D⫩⊇)=⫶⩼⫲5","reverse_text":"⫶⩼⫲5=↥(⫶⩼⫲149D⫩⊇)","cot":[{"info":"⫶⩼⫲149D⫩⊇=⫶⩼⫲-1471","layer":1},{"info":"↥⫶⩼⫲-1471=⫶⩼⫲5","layer":0}]}
{"id":244,"expression_no_base_symbol":"($2072$⩤)∑⇟⊟($3349$⩨$2712$)","expression":"(⫶⩼⫲932⩤)∑⇟⊟(⫶⩼⫲ED4⩨⫶⩼⫲C0C)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6,"operation_count":3,"complexity_ratio":2.0,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":2072,"base":15}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":3349,"base":15},"right_expr":{"type":"numeric_atoms","value":2712,"base":15}}},"used_operators":["U7g4x0WXJJ","Z2TMIBDE3Q","2DlMacCsIx"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"⫶⩼⫲-932","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2072","layer":2},{"info":"compute unary expreesion, input=2072, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-2072","layer":1},{"info":"number node, value=3349","layer":2},{"info":"number node, value=2712","layer":2},{"info":"compute binary expreesion, left_input=3349, right_input=2712, 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=-2072, right_input=0, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=-2072","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲932⩤)∑⇟⊟(⫶⩼⫲ED4⩨⫶⩼⫲C0C)=⫶⩼⫲-932","reverse_text":"⫶⩼⫲-932=(⫶⩼⫲932⩤)∑⇟⊟(⫶⩼⫲ED4⩨⫶⩼⫲C0C)","cot":[{"info":"⫶⩼⫲932⩤=⫶⩼⫲-932","layer":1},{"info":"⫶⩼⫲ED4⩨⫶⩼⫲C0C=⫶⩼⫲0","layer":1},{"info":"⫶⩼⫲-932∑⇟⊟⫶⩼⫲0=⫶⩼⫲-932","layer":0}]}
{"id":245,"expression_no_base_symbol":"⨑⩽⪐(⊥$1071$)","expression":"⨑⩽⪐(⊥⫶⩼⫲4B6)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":8,"operation_count":2,"complexity_ratio":4.0,"tree":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":1071,"base":15}}},"used_operators":["AF7qkfDlqP","Q3PJZHRvZv"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","fu6greOZ01"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1071","layer":2},{"info":"compute unary expreesion, input=1071, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=nan","layer":0}],"base":15,"result_base":15,"text":"⨑⩽⪐(⊥⫶⩼⫲4B6)=NaN","reverse_text":"NaN=⨑⩽⪐(⊥⫶⩼⫲4B6)","cot":[{"info":"⊥⫶⩼⫲4B6=NaN","layer":1},{"info":"⨑⩽⪐NaN=NaN","layer":0}]}
{"id":246,"expression_no_base_symbol":"(⩦⩻⨪$8223$)+⇶⊼(⪲⇎$1147$)","expression":"(⩦⩻⨪⫶⩼⫲2683)+⇶⊼(⪲⇎⫶⩼⫲517)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":6,"operation_count":3,"complexity_ratio":2.0,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":8223,"base":15}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1147,"base":15}}},"used_operators":["TpPTUOHfaN","2td37pGCOC","XPYlsWDdGa"],"dependent_operators":["AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=8223","layer":2},{"info":"compute unary expreesion, input=8223, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=8223","layer":1},{"info":"number node, value=1147","layer":2},{"info":"compute unary expreesion, input=1147, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=2294","layer":1},{"info":"compute binary expreesion, left_input=8223, right_input=2294, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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":15,"result_base":15,"text":"(⩦⩻⨪⫶⩼⫲2683)+⇶⊼(⪲⇎⫶⩼⫲517)=NaN","reverse_text":"NaN=(⩦⩻⨪⫶⩼⫲2683)+⇶⊼(⪲⇎⫶⩼⫲517)","cot":[{"info":"⩦⩻⨪⫶⩼⫲2683=⫶⩼⫲2683","layer":1},{"info":"⪲⇎⫶⩼⫲517=⫶⩼⫲A2E","layer":1},{"info":"⫶⩼⫲2683+⇶⊼⫶⩼⫲A2E=NaN","layer":0}]}
{"id":247,"expression_no_base_symbol":"($4674$↛⩡⫤)⨳⩥⨓($2415$∲⫓$1385$)","expression":"(⫶⩼⫲15B9↛⩡⫤)⨳⩥⨓(⫶⩼⫲AB0∲⫓⫶⩼⫲625)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":14161,"operation_count":3,"complexity_ratio":4720.333333333333,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":4674,"base":15}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2415,"base":15},"right_expr":{"type":"numeric_atoms","value":1385,"base":15}}},"used_operators":["nCS4ZIUYfx","FU0Cs4j7VP","i8ToyICDmI"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd"],"result":"⫶⩼⫲DCE5D","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=4674","layer":2},{"info":"compute unary expreesion, input=4674, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-701863","layer":1},{"info":"number node, value=2415","layer":2},{"info":"number node, value=1385","layer":2},{"info":"compute binary expreesion, left_input=2415, right_input=1385, 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=-701863, right_input=0, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=701863","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲15B9↛⩡⫤)⨳⩥⨓(⫶⩼⫲AB0∲⫓⫶⩼⫲625)=⫶⩼⫲DCE5D","reverse_text":"⫶⩼⫲DCE5D=(⫶⩼⫲15B9↛⩡⫤)⨳⩥⨓(⫶⩼⫲AB0∲⫓⫶⩼⫲625)","cot":[{"info":"⫶⩼⫲15B9↛⩡⫤=⫶⩼⫲-DCE5D","layer":1},{"info":"⫶⩼⫲AB0∲⫓⫶⩼⫲625=⫶⩼⫲0","layer":1},{"info":"⫶⩼⫲-DCE5D⨳⩥⨓⫶⩼⫲0=⫶⩼⫲DCE5D","layer":0}]}
{"id":248,"expression_no_base_symbol":"⪝⪂⫅$5749$⪛$6735$","expression":"⪝⪂⫅⫶⩼⫲1A84⪛⫶⩼⫲1EE0","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":154,"operation_count":2,"complexity_ratio":77.0,"tree":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":5749,"base":15},"right_expr":{"type":"numeric_atoms","value":6735,"base":15}}},"used_operators":["XTarYq4gQB","uFcxV4UQCh"],"dependent_operators":["9HNa5Wba9A","8w2t5hMYqp","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"⫶⩼⫲-11A603","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=5749","layer":2},{"info":"number node, value=6735","layer":2},{"info":"compute binary expreesion, left_input=5749, right_input=6735, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=5749","layer":1},{"info":"compute unary expreesion, input=5749, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-845103","layer":0}],"base":15,"result_base":15,"text":"⪝⪂⫅⫶⩼⫲1A84⪛⫶⩼⫲1EE0=⫶⩼⫲-11A603","reverse_text":"⫶⩼⫲-11A603=⪝⪂⫅⫶⩼⫲1A84⪛⫶⩼⫲1EE0","cot":[{"info":"⫶⩼⫲1A84⪛⫶⩼⫲1EE0=⫶⩼⫲1A84","layer":1},{"info":"⪝⪂⫅⫶⩼⫲1A84=⫶⩼⫲-11A603","layer":0}]}
{"id":249,"expression_no_base_symbol":"(↽≂$1026$)%($1736$↛⩡⫤)","expression":"(↽≂⫶⩼⫲486)%(⫶⩼⫲7AB↛⩡⫤)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5346,"operation_count":3,"complexity_ratio":1782.0,"tree":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":1026,"base":15}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":1736,"base":15}}},"used_operators":["k8jYdgA6NY","u6S6b8DprG","FU0Cs4j7VP"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X"],"result":"⫶⩼⫲-91C","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1026","layer":2},{"info":"compute unary expreesion, input=1026, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-2052","layer":1},{"info":"number node, value=1736","layer":2},{"info":"compute unary expreesion, input=1736, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-258225","layer":1},{"info":"compute binary expreesion, left_input=-2052, right_input=-258225, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-2052","layer":0}],"base":15,"result_base":15,"text":"(↽≂⫶⩼⫲486)%(⫶⩼⫲7AB↛⩡⫤)=⫶⩼⫲-91C","reverse_text":"⫶⩼⫲-91C=(↽≂⫶⩼⫲486)%(⫶⩼⫲7AB↛⩡⫤)","cot":[{"info":"↽≂⫶⩼⫲486=⫶⩼⫲-91C","layer":1},{"info":"⫶⩼⫲7AB↛⩡⫤=⫶⩼⫲-517A0","layer":1},{"info":"⫶⩼⫲-91C%⫶⩼⫲-517A0=⫶⩼⫲-91C","layer":0}]}
{"id":250,"expression_no_base_symbol":"($1031$≧⫂∧$5341$)⊴($2333$≧⫂∧$2915$)","expression":"(⫶⩼⫲48B≧⫂∧⫶⩼⫲18B1)⊴(⫶⩼⫲A58≧⫂∧⫶⩼⫲CE5)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3970,"operation_count":3,"complexity_ratio":1323.3333333333333,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1031,"base":15},"right_expr":{"type":"numeric_atoms","value":5341,"base":15}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2333,"base":15},"right_expr":{"type":"numeric_atoms","value":2915,"base":15}}},"used_operators":["Nsiff2A1zJ","Ph9nP6C5qx"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1031","layer":2},{"info":"number node, value=5341","layer":2},{"info":"compute binary expreesion, left_input=1031, right_input=5341, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=4868","layer":1},{"info":"number node, value=2333","layer":2},{"info":"number node, value=2915","layer":2},{"info":"compute binary expreesion, left_input=2333, right_input=2915, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2442","layer":1},{"info":"compute binary expreesion, left_input=4868, right_input=2442, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲48B≧⫂∧⫶⩼⫲18B1)⊴(⫶⩼⫲A58≧⫂∧⫶⩼⫲CE5)=NaN","reverse_text":"NaN=(⫶⩼⫲48B≧⫂∧⫶⩼⫲18B1)⊴(⫶⩼⫲A58≧⫂∧⫶⩼⫲CE5)","cot":[{"info":"⫶⩼⫲48B≧⫂∧⫶⩼⫲18B1=⫶⩼⫲1698","layer":1},{"info":"⫶⩼⫲A58≧⫂∧⫶⩼⫲CE5=⫶⩼⫲ACC","layer":1},{"info":"⫶⩼⫲1698⊴⫶⩼⫲ACC=NaN","layer":0}]}
{"id":251,"expression_no_base_symbol":"$4091$⨓$1022$⇋≉","expression":"⫶⩼⫲132B⨓⫶⩼⫲482⇋≉","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1031,"operation_count":2,"complexity_ratio":515.5,"tree":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":4091,"base":15},"right_expr":{"type":"numeric_atoms","value":1022,"base":15}}},"used_operators":["XIabStNQrY","3ViojmjbAp"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"⫶⩼⫲-983","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=4091","layer":2},{"info":"number node, value=1022","layer":2},{"info":"compute binary expreesion, left_input=4091, right_input=1022, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1025","layer":1},{"info":"compute unary expreesion, input=-1025, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=-2148","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲132B⨓⫶⩼⫲482⇋≉=⫶⩼⫲-983","reverse_text":"⫶⩼⫲-983=⫶⩼⫲132B⨓⫶⩼⫲482⇋≉","cot":[{"info":"⫶⩼⫲132B⨓⫶⩼⫲482=⫶⩼⫲-485","layer":1},{"info":"⫶⩼⫲-485⇋≉=⫶⩼⫲-983","layer":0}]}
{"id":252,"expression_no_base_symbol":"(⪝⪂⫅$3675$)⫥∨⫟$1348$⪛$1386$","expression":"(⪝⪂⫅⫶⩼⫲1150)⫥∨⫟⫶⩼⫲5ED⪛⫶⩼⫲626","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":308,"operation_count":3,"complexity_ratio":102.66666666666667,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":3675,"base":15}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1348,"base":15},"right_expr":{"type":"numeric_atoms","value":1386,"base":15}}},"used_operators":["KYD54nUTWz","XTarYq4gQB","uFcxV4UQCh"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","9HNa5Wba9A","8w2t5hMYqp","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=3675","layer":2},{"info":"compute unary expreesion, input=3675, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-540225","layer":1},{"info":"number node, value=1348","layer":2},{"info":"number node, value=1386","layer":2},{"info":"compute binary expreesion, left_input=1348, right_input=1386, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1348","layer":1},{"info":"compute binary expreesion, left_input=-540225, right_input=1348, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"(⪝⪂⫅⫶⩼⫲1150)⫥∨⫟⫶⩼⫲5ED⪛⫶⩼⫲626=NaN","reverse_text":"NaN=(⪝⪂⫅⫶⩼⫲1150)⫥∨⫟⫶⩼⫲5ED⪛⫶⩼⫲626","cot":[{"info":"⪝⪂⫅⫶⩼⫲1150=⫶⩼⫲-AA100","layer":1},{"info":"⫶⩼⫲5ED⪛⫶⩼⫲626=⫶⩼⫲5ED","layer":1},{"info":"⫶⩼⫲-AA100⫥∨⫟⫶⩼⫲5ED=NaN","layer":0}]}
{"id":253,"expression_no_base_symbol":"⨞⊢$2172$⋳⪒$4364$","expression":"⨞⊢⫶⩼⫲99C⋳⪒⫶⩼⫲145E","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":9,"operation_count":2,"complexity_ratio":4.5,"tree":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2172,"base":15},"right_expr":{"type":"numeric_atoms","value":4364,"base":15}}},"used_operators":["xUOZtlo3hN","12rbrZMWeM"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⫶⩼⫲8D","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=2172","layer":2},{"info":"number node, value=4364","layer":2},{"info":"compute binary expreesion, left_input=2172, right_input=4364, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-307","layer":1},{"info":"compute unary expreesion, input=-307, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=133","layer":0}],"base":15,"result_base":15,"text":"⨞⊢⫶⩼⫲99C⋳⪒⫶⩼⫲145E=⫶⩼⫲8D","reverse_text":"⫶⩼⫲8D=⨞⊢⫶⩼⫲99C⋳⪒⫶⩼⫲145E","cot":[{"info":"⫶⩼⫲99C⋳⪒⫶⩼⫲145E=⫶⩼⫲-157","layer":1},{"info":"⨞⊢⫶⩼⫲-157=⫶⩼⫲8D","layer":0}]}
{"id":254,"expression_no_base_symbol":"(↣≠⋷$5913$)∼($3315$⊉≛↸$1285$)","expression":"(↣≠⋷⫶⩼⫲1B43)∼(⫶⩼⫲EB0⊉≛↸⫶⩼⫲5AA)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":8,"operation_count":3,"complexity_ratio":2.6666666666666665,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":5913,"base":15}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":3315,"base":15},"right_expr":{"type":"numeric_atoms","value":1285,"base":15}}},"used_operators":["DyGG3AbaNP","Asc51vEJeQ","DZ8iAZOCBD"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=5913","layer":2},{"info":"compute unary expreesion, input=5913, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":1},{"info":"number node, value=3315","layer":2},{"info":"number node, value=1285","layer":2},{"info":"compute binary expreesion, left_input=3315, right_input=1285, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=6630","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=6630, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":0}],"base":15,"result_base":15,"text":"(↣≠⋷⫶⩼⫲1B43)∼(⫶⩼⫲EB0⊉≛↸⫶⩼⫲5AA)=NaN","reverse_text":"NaN=(↣≠⋷⫶⩼⫲1B43)∼(⫶⩼⫲EB0⊉≛↸⫶⩼⫲5AA)","cot":[{"info":"↣≠⋷⫶⩼⫲1B43=NaN","layer":1},{"info":"⫶⩼⫲EB0⊉≛↸⫶⩼⫲5AA=⫶⩼⫲1E70","layer":1},{"info":"NaN∼⫶⩼⫲1E70=NaN","layer":0}]}
{"id":255,"expression_no_base_symbol":"($5024$*$2064$)⋳⪒($3155$⨵⪆$5972$)","expression":"(⫶⩼⫲174E*⫶⩼⫲929)⋳⪒(⫶⩼⫲E05⨵⪆⫶⩼⫲1B82)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2072,"operation_count":3,"complexity_ratio":690.6666666666666,"tree":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":5024,"base":15},"right_expr":{"type":"numeric_atoms","value":2064,"base":15}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":3155,"base":15},"right_expr":{"type":"numeric_atoms","value":5972,"base":15}}},"used_operators":["12rbrZMWeM","9HNa5Wba9A","2DQ55sFlQl"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⫶⩼⫲1C49BA0","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=5024","layer":2},{"info":"number node, value=2064","layer":2},{"info":"compute binary expreesion, left_input=5024, right_input=2064, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=10369536","layer":1},{"info":"number node, value=3155","layer":2},{"info":"number node, value=5972","layer":2},{"info":"compute binary expreesion, left_input=3155, right_input=5972, 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=10369536, right_input=160, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=20738625","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲174E*⫶⩼⫲929)⋳⪒(⫶⩼⫲E05⨵⪆⫶⩼⫲1B82)=⫶⩼⫲1C49BA0","reverse_text":"⫶⩼⫲1C49BA0=(⫶⩼⫲174E*⫶⩼⫲929)⋳⪒(⫶⩼⫲E05⨵⪆⫶⩼⫲1B82)","cot":[{"info":"⫶⩼⫲174E*⫶⩼⫲929=⫶⩼⫲D9C6C6","layer":1},{"info":"⫶⩼⫲E05⨵⪆⫶⩼⫲1B82=⫶⩼⫲AA","layer":1},{"info":"⫶⩼⫲D9C6C6⋳⪒⫶⩼⫲AA=⫶⩼⫲1C49BA0","layer":0}]}
{"id":256,"expression_no_base_symbol":"$5872$⨐⩸⫘$3653$⪐","expression":"⫶⩼⫲1B17⨐⩸⫘⫶⩼⫲1138⪐","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3,"operation_count":2,"complexity_ratio":1.5,"tree":{"type":"unary","operator":"⪐","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":5872,"base":15},"right_expr":{"type":"numeric_atoms","value":3653,"base":15}}},"used_operators":["eH2TOUuTDT","fu6greOZ01"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=5872","layer":2},{"info":"number node, value=3653","layer":2},{"info":"compute binary expreesion, left_input=5872, right_input=3653, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=nan","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲1B17⨐⩸⫘⫶⩼⫲1138⪐=NaN","reverse_text":"NaN=⫶⩼⫲1B17⨐⩸⫘⫶⩼⫲1138⪐","cot":[{"info":"⫶⩼⫲1B17⨐⩸⫘⫶⩼⫲1138=NaN","layer":1},{"info":"NaN⪐=NaN","layer":0}]}
{"id":257,"expression_no_base_symbol":"⊙↵-(⨞⊢$1171$)","expression":"⊙↵-(⨞⊢⫶⩼⫲531)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1379,"operation_count":2,"complexity_ratio":689.5,"tree":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":1171,"base":15}}},"used_operators":["oWn0xqSxBt","xUOZtlo3hN"],"dependent_operators":["dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd"],"result":"⫶⩼⫲D1","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1171","layer":2},{"info":"compute unary expreesion, input=1171, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1345","layer":1},{"info":"compute unary expreesion, input=-1345, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=196","layer":0}],"base":15,"result_base":15,"text":"⊙↵-(⨞⊢⫶⩼⫲531)=⫶⩼⫲D1","reverse_text":"⫶⩼⫲D1=⊙↵-(⨞⊢⫶⩼⫲531)","cot":[{"info":"⨞⊢⫶⩼⫲531=⫶⩼⫲-5EA","layer":1},{"info":"⊙↵-⫶⩼⫲-5EA=⫶⩼⫲D1","layer":0}]}
{"id":258,"expression_no_base_symbol":"$1609$∼$2139$⇼⇔∾$2924$⨳⩥⨓$1842$","expression":"⫶⩼⫲724∼⫶⩼⫲979⇼⇔∾⫶⩼⫲CEE⨳⩥⨓⫶⩼⫲82C","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":38,"operation_count":3,"complexity_ratio":12.666666666666666,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1609,"base":15},"right_expr":{"type":"numeric_atoms","value":2139,"base":15}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2924,"base":15},"right_expr":{"type":"numeric_atoms","value":1842,"base":15}}},"used_operators":["tifHPKVTfV","DyGG3AbaNP","nCS4ZIUYfx"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1609","layer":2},{"info":"number node, value=2139","layer":2},{"info":"compute binary expreesion, left_input=1609, right_input=2139, 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=2924","layer":2},{"info":"number node, value=1842","layer":2},{"info":"compute binary expreesion, left_input=2924, right_input=1842, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-1082","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-1082, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲724∼⫶⩼⫲979⇼⇔∾⫶⩼⫲CEE⨳⩥⨓⫶⩼⫲82C=NaN","reverse_text":"NaN=⫶⩼⫲724∼⫶⩼⫲979⇼⇔∾⫶⩼⫲CEE⨳⩥⨓⫶⩼⫲82C","cot":[{"info":"⫶⩼⫲724∼⫶⩼⫲979=NaN","layer":1},{"info":"⫶⩼⫲CEE⨳⩥⨓⫶⩼⫲82C=⫶⩼⫲-4C2","layer":1},{"info":"NaN⇼⇔∾⫶⩼⫲-4C2=NaN","layer":0}]}
{"id":259,"expression_no_base_symbol":"(⪝⪂⫅$2540$)≧⫂∧$1882$∼$2426$","expression":"(⪝⪂⫅⫶⩼⫲B45)≧⫂∧⫶⩼⫲857∼⫶⩼⫲ABB","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":189,"operation_count":3,"complexity_ratio":63.0,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":2540,"base":15}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1882,"base":15},"right_expr":{"type":"numeric_atoms","value":2426,"base":15}}},"used_operators":["Ph9nP6C5qx","XTarYq4gQB","DyGG3AbaNP"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2540","layer":2},{"info":"compute unary expreesion, input=2540, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-373380","layer":1},{"info":"number node, value=1882","layer":2},{"info":"number node, value=2426","layer":2},{"info":"compute binary expreesion, left_input=1882, right_input=2426, 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=-373380, right_input=nan, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":0}],"base":15,"result_base":15,"text":"(⪝⪂⫅⫶⩼⫲B45)≧⫂∧⫶⩼⫲857∼⫶⩼⫲ABB=NaN","reverse_text":"NaN=(⪝⪂⫅⫶⩼⫲B45)≧⫂∧⫶⩼⫲857∼⫶⩼⫲ABB","cot":[{"info":"⪝⪂⫅⫶⩼⫲B45=⫶⩼⫲-75970","layer":1},{"info":"⫶⩼⫲857∼⫶⩼⫲ABB=NaN","layer":1},{"info":"⫶⩼⫲-75970≧⫂∧NaN=NaN","layer":0}]}
{"id":260,"expression_no_base_symbol":"($1547$⩨$2791$)+⇶⊼($1842$⩨$3749$)","expression":"(⫶⩼⫲6D2⩨⫶⩼⫲C61)+⇶⊼(⫶⩼⫲82C⩨⫶⩼⫲119E)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":50,"operation_count":3,"complexity_ratio":16.666666666666668,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1547,"base":15},"right_expr":{"type":"numeric_atoms","value":2791,"base":15}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1842,"base":15},"right_expr":{"type":"numeric_atoms","value":3749,"base":15}}},"used_operators":["TpPTUOHfaN","2DlMacCsIx"],"dependent_operators":["AHs5Up7iyr","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1547","layer":2},{"info":"number node, value=2791","layer":2},{"info":"compute binary expreesion, left_input=1547, right_input=2791, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":1},{"info":"number node, value=1842","layer":2},{"info":"number node, value=3749","layer":2},{"info":"compute binary expreesion, left_input=1842, right_input=3749, 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=-3, right_input=-6, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲6D2⩨⫶⩼⫲C61)+⇶⊼(⫶⩼⫲82C⩨⫶⩼⫲119E)=NaN","reverse_text":"NaN=(⫶⩼⫲6D2⩨⫶⩼⫲C61)+⇶⊼(⫶⩼⫲82C⩨⫶⩼⫲119E)","cot":[{"info":"⫶⩼⫲6D2⩨⫶⩼⫲C61=⫶⩼⫲-3","layer":1},{"info":"⫶⩼⫲82C⩨⫶⩼⫲119E=⫶⩼⫲-6","layer":1},{"info":"⫶⩼⫲-3+⇶⊼⫶⩼⫲-6=NaN","layer":0}]}
{"id":261,"expression_no_base_symbol":"⨞⊢($7816$⨳⩥⨓$1805$)","expression":"⨞⊢(⫶⩼⫲24B1⨳⩥⨓⫶⩼⫲805)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5,"operation_count":2,"complexity_ratio":2.5,"tree":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":7816,"base":15},"right_expr":{"type":"numeric_atoms","value":1805,"base":15}}},"used_operators":["xUOZtlo3hN","nCS4ZIUYfx"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z"],"result":"⫶⩼⫲1AE2","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=7816","layer":2},{"info":"number node, value=1805","layer":2},{"info":"compute binary expreesion, left_input=7816, right_input=1805, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-6011","layer":1},{"info":"compute unary expreesion, input=-6011, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=5837","layer":0}],"base":15,"result_base":15,"text":"⨞⊢(⫶⩼⫲24B1⨳⩥⨓⫶⩼⫲805)=⫶⩼⫲1AE2","reverse_text":"⫶⩼⫲1AE2=⨞⊢(⫶⩼⫲24B1⨳⩥⨓⫶⩼⫲805)","cot":[{"info":"⫶⩼⫲24B1⨳⩥⨓⫶⩼⫲805=⫶⩼⫲-1BAB","layer":1},{"info":"⨞⊢⫶⩼⫲-1BAB=⫶⩼⫲1AE2","layer":0}]}
{"id":262,"expression_no_base_symbol":"⪝⪂⫅($3693$⊦⊿)","expression":"⪝⪂⫅(⫶⩼⫲1163⊦⊿)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":156,"operation_count":2,"complexity_ratio":78.0,"tree":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":3693,"base":15}}},"used_operators":["XTarYq4gQB","14qkJME0vr"],"dependent_operators":["9HNa5Wba9A","8w2t5hMYqp","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⫶⩼⫲225ED6","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=3693","layer":2},{"info":"compute unary expreesion, input=3693, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-11158","layer":1},{"info":"compute unary expreesion, input=-11158, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=1640226","layer":0}],"base":15,"result_base":15,"text":"⪝⪂⫅(⫶⩼⫲1163⊦⊿)=⫶⩼⫲225ED6","reverse_text":"⫶⩼⫲225ED6=⪝⪂⫅(⫶⩼⫲1163⊦⊿)","cot":[{"info":"⫶⩼⫲1163⊦⊿=⫶⩼⫲-348D","layer":1},{"info":"⪝⪂⫅⫶⩼⫲-348D=⫶⩼⫲225ED6","layer":0}]}
{"id":263,"expression_no_base_symbol":"($3968$⊴$1898$)⊴($1820$⪮%⊝$2263$)","expression":"(⫶⩼⫲1298⊴⫶⩼⫲868)⊴(⫶⩼⫲815⪮%⊝⫶⩼⫲A0D)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":6722,"operation_count":3,"complexity_ratio":2240.6666666666665,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":3968,"base":15},"right_expr":{"type":"numeric_atoms","value":1898,"base":15}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1820,"base":15},"right_expr":{"type":"numeric_atoms","value":2263,"base":15}}},"used_operators":["Nsiff2A1zJ","IWmyXbctLI"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=3968","layer":2},{"info":"number node, value=1898","layer":2},{"info":"compute binary expreesion, left_input=3968, right_input=1898, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=1820","layer":2},{"info":"number node, value=2263","layer":2},{"info":"compute binary expreesion, left_input=1820, right_input=2263, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3956","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=3956, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲1298⊴⫶⩼⫲868)⊴(⫶⩼⫲815⪮%⊝⫶⩼⫲A0D)=NaN","reverse_text":"NaN=(⫶⩼⫲1298⊴⫶⩼⫲868)⊴(⫶⩼⫲815⪮%⊝⫶⩼⫲A0D)","cot":[{"info":"⫶⩼⫲1298⊴⫶⩼⫲868=NaN","layer":1},{"info":"⫶⩼⫲815⪮%⊝⫶⩼⫲A0D=⫶⩼⫲128B","layer":1},{"info":"NaN⊴⫶⩼⫲128B=NaN","layer":0}]}
{"id":264,"expression_no_base_symbol":"(↣≠⋷$3165$)≋⫹","expression":"(↣≠⋷⫶⩼⫲E10)≋⫹","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":6,"operation_count":2,"complexity_ratio":3.0,"tree":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":3165,"base":15}}},"used_operators":["N41Kp7NANJ","Asc51vEJeQ"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=3165","layer":2},{"info":"compute unary expreesion, input=3165, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"(↣≠⋷⫶⩼⫲E10)≋⫹=NaN","reverse_text":"NaN=(↣≠⋷⫶⩼⫲E10)≋⫹","cot":[{"info":"↣≠⋷⫶⩼⫲E10=NaN","layer":1},{"info":"NaN≋⫹=NaN","layer":0}]}
{"id":265,"expression_no_base_symbol":"$1777$⊴$1048$⇼⇔∾(⊥$1364$)","expression":"⫶⩼⫲7D7⊴⫶⩼⫲49D⇼⇔∾(⊥⫶⩼⫲60E)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3760,"operation_count":3,"complexity_ratio":1253.3333333333333,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1777,"base":15},"right_expr":{"type":"numeric_atoms","value":1048,"base":15}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":1364,"base":15}}},"used_operators":["tifHPKVTfV","Nsiff2A1zJ","Q3PJZHRvZv"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","fu6greOZ01"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1777","layer":2},{"info":"number node, value=1048","layer":2},{"info":"compute binary expreesion, left_input=1777, right_input=1048, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=1364","layer":2},{"info":"compute unary expreesion, input=1364, 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 = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲7D7⊴⫶⩼⫲49D⇼⇔∾(⊥⫶⩼⫲60E)=NaN","reverse_text":"NaN=⫶⩼⫲7D7⊴⫶⩼⫲49D⇼⇔∾(⊥⫶⩼⫲60E)","cot":[{"info":"⫶⩼⫲7D7⊴⫶⩼⫲49D=NaN","layer":1},{"info":"⊥⫶⩼⫲60E=NaN","layer":1},{"info":"NaN⇼⇔∾NaN=NaN","layer":0}]}
{"id":266,"expression_no_base_symbol":"(∥⊫$5404$)⩷∴($2292$↙$1710$)","expression":"(∥⊫⫶⩼⫲1904)⩷∴(⫶⩼⫲A2C↙⫶⩼⫲790)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1723,"operation_count":3,"complexity_ratio":574.3333333333334,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":5404,"base":15}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2292,"base":15},"right_expr":{"type":"numeric_atoms","value":1710,"base":15}}},"used_operators":["9FxExcQeMw","P8v4zCKN1o","yyfyN0ffXY"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY"],"result":"⫶⩼⫲6B32","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=5404","layer":2},{"info":"compute unary expreesion, input=5404, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=6272","layer":1},{"info":"number node, value=2292","layer":2},{"info":"number node, value=1710","layer":2},{"info":"compute binary expreesion, left_input=2292, right_input=1710, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-5130","layer":1},{"info":"compute binary expreesion, left_input=6272, right_input=-5130, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=22772","layer":0}],"base":15,"result_base":15,"text":"(∥⊫⫶⩼⫲1904)⩷∴(⫶⩼⫲A2C↙⫶⩼⫲790)=⫶⩼⫲6B32","reverse_text":"⫶⩼⫲6B32=(∥⊫⫶⩼⫲1904)⩷∴(⫶⩼⫲A2C↙⫶⩼⫲790)","cot":[{"info":"∥⊫⫶⩼⫲1904=⫶⩼⫲1CD2","layer":1},{"info":"⫶⩼⫲A2C↙⫶⩼⫲790=⫶⩼⫲-17C0","layer":1},{"info":"⫶⩼⫲1CD2⩷∴⫶⩼⫲-17C0=⫶⩼⫲6B32","layer":0}]}
{"id":267,"expression_no_base_symbol":"($3570$↙$2795$)≧⫂∧(↩$1620$)","expression":"(⫶⩼⫲10D0↙⫶⩼⫲C65)≧⫂∧(↩⫶⩼⫲730)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2816,"operation_count":3,"complexity_ratio":938.6666666666666,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":3570,"base":15},"right_expr":{"type":"numeric_atoms","value":2795,"base":15}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":1620,"base":15}}},"used_operators":["Ph9nP6C5qx","yyfyN0ffXY","jLgFTUHLKL"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D"],"result":"⫶⩼⫲7EA","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=3570","layer":2},{"info":"number node, value=2795","layer":2},{"info":"compute binary expreesion, left_input=3570, right_input=2795, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-8385","layer":1},{"info":"number node, value=1620","layer":2},{"info":"compute unary expreesion, input=1620, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-10180","layer":1},{"info":"compute binary expreesion, left_input=-8385, right_input=-10180, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1795","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲10D0↙⫶⩼⫲C65)≧⫂∧(↩⫶⩼⫲730)=⫶⩼⫲7EA","reverse_text":"⫶⩼⫲7EA=(⫶⩼⫲10D0↙⫶⩼⫲C65)≧⫂∧(↩⫶⩼⫲730)","cot":[{"info":"⫶⩼⫲10D0↙⫶⩼⫲C65=⫶⩼⫲-2740","layer":1},{"info":"↩⫶⩼⫲730=⫶⩼⫲-303A","layer":1},{"info":"⫶⩼⫲-2740≧⫂∧⫶⩼⫲-303A=⫶⩼⫲7EA","layer":0}]}
{"id":268,"expression_no_base_symbol":"⨵≀≌$1723$≭$6931$","expression":"⨵≀≌⫶⩼⫲79D≭⫶⩼⫲20C1","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4,"operation_count":2,"complexity_ratio":2.0,"tree":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1723,"base":15},"right_expr":{"type":"numeric_atoms","value":6931,"base":15}}},"used_operators":["srAu1WTS94","rxpJgHHUmx"],"dependent_operators":["glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1723","layer":2},{"info":"number node, value=6931","layer":2},{"info":"compute binary expreesion, left_input=1723, right_input=6931, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=nan","layer":0}],"base":15,"result_base":15,"text":"⨵≀≌⫶⩼⫲79D≭⫶⩼⫲20C1=NaN","reverse_text":"NaN=⨵≀≌⫶⩼⫲79D≭⫶⩼⫲20C1","cot":[{"info":"⫶⩼⫲79D≭⫶⩼⫲20C1=NaN","layer":1},{"info":"⨵≀≌NaN=NaN","layer":0}]}
{"id":269,"expression_no_base_symbol":"$3084$⊴$4298$⋓(∂$3048$)","expression":"⫶⩼⫲DA9⊴⫶⩼⫲1418⋓(∂⫶⩼⫲D83)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4318,"operation_count":3,"complexity_ratio":1439.3333333333333,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":3084,"base":15},"right_expr":{"type":"numeric_atoms","value":4298,"base":15}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":3048,"base":15}}},"used_operators":["T2fj7uvVaJ","Nsiff2A1zJ","Uaa54Peajs"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","dWAJyo7jo9","14qkJME0vr","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=3084","layer":2},{"info":"number node, value=4298","layer":2},{"info":"compute binary expreesion, left_input=3084, right_input=4298, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=3048","layer":2},{"info":"compute unary expreesion, input=3048, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = T2fj7uvVaJ 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":15,"result_base":15,"text":"⫶⩼⫲DA9⊴⫶⩼⫲1418⋓(∂⫶⩼⫲D83)=NaN","reverse_text":"NaN=⫶⩼⫲DA9⊴⫶⩼⫲1418⋓(∂⫶⩼⫲D83)","cot":[{"info":"⫶⩼⫲DA9⊴⫶⩼⫲1418=NaN","layer":1},{"info":"∂⫶⩼⫲D83=NaN","layer":1},{"info":"NaN⋓NaN=NaN","layer":0}]}
{"id":270,"expression_no_base_symbol":"⨑⩽⪐($1663$⪨≂$1052$)","expression":"⨑⩽⪐(⫶⩼⫲75D⪨≂⫶⩼⫲4A2)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":9,"operation_count":2,"complexity_ratio":4.5,"tree":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1663,"base":15},"right_expr":{"type":"numeric_atoms","value":1052,"base":15}}},"used_operators":["AF7qkfDlqP","sdazOOVcIp"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⫶⩼⫲-4A1","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1663","layer":2},{"info":"number node, value=1052","layer":2},{"info":"compute binary expreesion, left_input=1663, right_input=1052, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=1324","layer":1},{"info":"compute unary expreesion, input=1324, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-1051","layer":0}],"base":15,"result_base":15,"text":"⨑⩽⪐(⫶⩼⫲75D⪨≂⫶⩼⫲4A2)=⫶⩼⫲-4A1","reverse_text":"⫶⩼⫲-4A1=⨑⩽⪐(⫶⩼⫲75D⪨≂⫶⩼⫲4A2)","cot":[{"info":"⫶⩼⫲75D⪨≂⫶⩼⫲4A2=⫶⩼⫲5D4","layer":1},{"info":"⨑⩽⪐⫶⩼⫲5D4=⫶⩼⫲-4A1","layer":0}]}
{"id":271,"expression_no_base_symbol":"($6394$⪨≂$5334$)⨐⩸⫘$2098$+⇶⊼$1743$","expression":"(⫶⩼⫲1D64⪨≂⫶⩼⫲18A9)⨐⩸⫘⫶⩼⫲94D+⇶⊼⫶⩼⫲7B3","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7,"operation_count":3,"complexity_ratio":2.3333333333333335,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":6394,"base":15},"right_expr":{"type":"numeric_atoms","value":5334,"base":15}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2098,"base":15},"right_expr":{"type":"numeric_atoms","value":1743,"base":15}}},"used_operators":["fu6greOZ01","sdazOOVcIp","TpPTUOHfaN"],"dependent_operators":["3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=6394","layer":2},{"info":"number node, value=5334","layer":2},{"info":"compute binary expreesion, left_input=6394, right_input=5334, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=2222","layer":1},{"info":"number node, value=2098","layer":2},{"info":"number node, value=1743","layer":2},{"info":"compute binary expreesion, left_input=2098, right_input=1743, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=2222, 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":15,"result_base":15,"text":"(⫶⩼⫲1D64⪨≂⫶⩼⫲18A9)⨐⩸⫘⫶⩼⫲94D+⇶⊼⫶⩼⫲7B3=NaN","reverse_text":"NaN=(⫶⩼⫲1D64⪨≂⫶⩼⫲18A9)⨐⩸⫘⫶⩼⫲94D+⇶⊼⫶⩼⫲7B3","cot":[{"info":"⫶⩼⫲1D64⪨≂⫶⩼⫲18A9=⫶⩼⫲9D2","layer":1},{"info":"⫶⩼⫲94D+⇶⊼⫶⩼⫲7B3=NaN","layer":1},{"info":"⫶⩼⫲9D2⨐⩸⫘NaN=NaN","layer":0}]}
{"id":272,"expression_no_base_symbol":"∥⊫($1904$⪒$3589$)","expression":"∥⊫(⫶⩼⫲86E⪒⫶⩼⫲10E4)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":6,"operation_count":2,"complexity_ratio":3.0,"tree":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1904,"base":15},"right_expr":{"type":"numeric_atoms","value":3589,"base":15}}},"used_operators":["P8v4zCKN1o","f6k1SAg4EE"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⫶⩼⫲-3A","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1904","layer":2},{"info":"number node, value=3589","layer":2},{"info":"compute binary expreesion, left_input=1904, right_input=3589, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5493","layer":1},{"info":"compute unary expreesion, input=-5493, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=-55","layer":0}],"base":15,"result_base":15,"text":"∥⊫(⫶⩼⫲86E⪒⫶⩼⫲10E4)=⫶⩼⫲-3A","reverse_text":"⫶⩼⫲-3A=∥⊫(⫶⩼⫲86E⪒⫶⩼⫲10E4)","cot":[{"info":"⫶⩼⫲86E⪒⫶⩼⫲10E4=⫶⩼⫲-1963","layer":1},{"info":"∥⊫⫶⩼⫲-1963=⫶⩼⫲-3A","layer":0}]}
{"id":273,"expression_no_base_symbol":"$2653$⩷∴$4330$⪄($2480$⊭↱$1078$)","expression":"⫶⩼⫲BBD⩷∴⫶⩼⫲143A⪄(⫶⩼⫲B05⊭↱⫶⩼⫲4BD)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":104,"operation_count":3,"complexity_ratio":34.666666666666664,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2653,"base":15},"right_expr":{"type":"numeric_atoms","value":4330,"base":15}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":2480,"base":15},"right_expr":{"type":"numeric_atoms","value":1078,"base":15}}},"used_operators":["SUmda5xLS4","9FxExcQeMw","COABgblf1C"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫶⩼⫲12A4","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2653","layer":2},{"info":"number node, value=4330","layer":2},{"info":"compute binary expreesion, left_input=2653, right_input=4330, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-3386","layer":1},{"info":"number node, value=2480","layer":2},{"info":"number node, value=1078","layer":2},{"info":"compute binary expreesion, left_input=2480, right_input=1078, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-2799","layer":1},{"info":"compute binary expreesion, left_input=-3386, right_input=-2799, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲BBD⩷∴⫶⩼⫲143A⪄(⫶⩼⫲B05⊭↱⫶⩼⫲4BD)=⫶⩼⫲12A4","reverse_text":"⫶⩼⫲12A4=⫶⩼⫲BBD⩷∴⫶⩼⫲143A⪄(⫶⩼⫲B05⊭↱⫶⩼⫲4BD)","cot":[{"info":"⫶⩼⫲BBD⩷∴⫶⩼⫲143A=⫶⩼⫲-100B","layer":1},{"info":"⫶⩼⫲B05⊭↱⫶⩼⫲4BD=⫶⩼⫲-C69","layer":1},{"info":"⫶⩼⫲-100B⪄⫶⩼⫲-C69=⫶⩼⫲12A4","layer":0}]}
{"id":274,"expression_no_base_symbol":"($1344$⩠)≧⫂∧($1254$⫸⊐$8790$)","expression":"(⫶⩼⫲5E9⩠)≧⫂∧(⫶⩼⫲589⫸⊐⫶⩼⫲2910)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":43,"operation_count":3,"complexity_ratio":14.333333333333334,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":1344,"base":15}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1254,"base":15},"right_expr":{"type":"numeric_atoms","value":8790,"base":15}}},"used_operators":["Ph9nP6C5qx","sJAwomhLZr","mqXw5SEYmG"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"⫶⩼⫲A392","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1344","layer":2},{"info":"compute unary expreesion, input=1344, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":1},{"info":"number node, value=1254","layer":2},{"info":"number node, value=8790","layer":2},{"info":"compute binary expreesion, left_input=1254, right_input=8790, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=35035","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=35035, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=34562","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲5E9⩠)≧⫂∧(⫶⩼⫲589⫸⊐⫶⩼⫲2910)=⫶⩼⫲A392","reverse_text":"⫶⩼⫲A392=(⫶⩼⫲5E9⩠)≧⫂∧(⫶⩼⫲589⫸⊐⫶⩼⫲2910)","cot":[{"info":"⫶⩼⫲5E9⩠=⫶⩼⫲0","layer":1},{"info":"⫶⩼⫲589⫸⊐⫶⩼⫲2910=⫶⩼⫲A5AA","layer":1},{"info":"⫶⩼⫲0≧⫂∧⫶⩼⫲A5AA=⫶⩼⫲A392","layer":0}]}
{"id":275,"expression_no_base_symbol":"$1206$↬$2748$⫡⨏$6704$≎⊠⪸$1029$","expression":"⫶⩼⫲556↬⫶⩼⫲C33⫡⨏⫶⩼⫲1EBE≎⊠⪸⫶⩼⫲489","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":278,"operation_count":3,"complexity_ratio":92.66666666666667,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1206,"base":15},"right_expr":{"type":"numeric_atoms","value":2748,"base":15}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":6704,"base":15},"right_expr":{"type":"numeric_atoms","value":1029,"base":15}}},"used_operators":["QMFrweE19q","B5M0gjZbta","bJkvcejdHO"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1206","layer":2},{"info":"number node, value=2748","layer":2},{"info":"compute binary expreesion, left_input=1206, right_input=2748, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=6704","layer":2},{"info":"number node, value=1029","layer":2},{"info":"compute binary expreesion, left_input=6704, right_input=1029, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1735863","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1735863, op_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":15,"result_base":15,"text":"⫶⩼⫲556↬⫶⩼⫲C33⫡⨏⫶⩼⫲1EBE≎⊠⪸⫶⩼⫲489=NaN","reverse_text":"NaN=⫶⩼⫲556↬⫶⩼⫲C33⫡⨏⫶⩼⫲1EBE≎⊠⪸⫶⩼⫲489","cot":[{"info":"⫶⩼⫲556↬⫶⩼⫲C33=NaN","layer":1},{"info":"⫶⩼⫲1EBE≎⊠⪸⫶⩼⫲489=⫶⩼⫲2444E3","layer":1},{"info":"NaN⫡⨏⫶⩼⫲2444E3=NaN","layer":0}]}
{"id":276,"expression_no_base_symbol":"(↩$1431$)⩷∴($1017$⨸⪁$1584$)","expression":"(↩⫶⩼⫲656)⩷∴(⫶⩼⫲47C⨸⪁⫶⩼⫲709)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":25,"operation_count":3,"complexity_ratio":8.333333333333334,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":1431,"base":15}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1017,"base":15},"right_expr":{"type":"numeric_atoms","value":1584,"base":15}}},"used_operators":["9FxExcQeMw","jLgFTUHLKL","g55IO6H4Gj"],"dependent_operators":["rysDP5nf3Z","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe"],"result":"⫶⩼⫲-8367","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1431","layer":2},{"info":"compute unary expreesion, input=1431, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-8668","layer":1},{"info":"number node, value=1017","layer":2},{"info":"number node, value=1584","layer":2},{"info":"compute binary expreesion, left_input=1017, right_input=1584, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=5202","layer":1},{"info":"compute binary expreesion, left_input=-8668, right_input=5202, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-27772","layer":0}],"base":15,"result_base":15,"text":"(↩⫶⩼⫲656)⩷∴(⫶⩼⫲47C⨸⪁⫶⩼⫲709)=⫶⩼⫲-8367","reverse_text":"⫶⩼⫲-8367=(↩⫶⩼⫲656)⩷∴(⫶⩼⫲47C⨸⪁⫶⩼⫲709)","cot":[{"info":"↩⫶⩼⫲656=⫶⩼⫲-287D","layer":1},{"info":"⫶⩼⫲47C⨸⪁⫶⩼⫲709=⫶⩼⫲181C","layer":1},{"info":"⫶⩼⫲-287D⩷∴⫶⩼⫲181C=⫶⩼⫲-8367","layer":0}]}
{"id":277,"expression_no_base_symbol":"($4746$≭$2849$)⪢$3527$⨟⋌⩍$2361$","expression":"(⫶⩼⫲1616≭⫶⩼⫲C9E)⪢⫶⩼⫲10A2⨟⋌⩍⫶⩼⫲A76","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3,"operation_count":3,"complexity_ratio":1.0,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":4746,"base":15},"right_expr":{"type":"numeric_atoms","value":2849,"base":15}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":3527,"base":15},"right_expr":{"type":"numeric_atoms","value":2361,"base":15}}},"used_operators":["dWAJyo7jo9","rxpJgHHUmx","rGHVDoGpnC"],"dependent_operators":["k8jYdgA6NY","AHs5Up7iyr","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=4746","layer":2},{"info":"number node, value=2849","layer":2},{"info":"compute binary expreesion, left_input=4746, right_input=2849, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=3527","layer":2},{"info":"number node, value=2361","layer":2},{"info":"compute binary expreesion, left_input=3527, right_input=2361, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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":15,"result_base":15,"text":"(⫶⩼⫲1616≭⫶⩼⫲C9E)⪢⫶⩼⫲10A2⨟⋌⩍⫶⩼⫲A76=NaN","reverse_text":"NaN=(⫶⩼⫲1616≭⫶⩼⫲C9E)⪢⫶⩼⫲10A2⨟⋌⩍⫶⩼⫲A76","cot":[{"info":"⫶⩼⫲1616≭⫶⩼⫲C9E=NaN","layer":1},{"info":"⫶⩼⫲10A2⨟⋌⩍⫶⩼⫲A76=NaN","layer":1},{"info":"NaN⪢NaN=NaN","layer":0}]}
{"id":278,"expression_no_base_symbol":"$1252$⨓$1539$⪨≂$4998$*$1435$","expression":"⫶⩼⫲587⨓⫶⩼⫲6C9⪨≂⫶⩼⫲1733*⫶⩼⫲65A","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2985,"operation_count":3,"complexity_ratio":995.0,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1252,"base":15},"right_expr":{"type":"numeric_atoms","value":1539,"base":15}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":4998,"base":15},"right_expr":{"type":"numeric_atoms","value":1435,"base":15}}},"used_operators":["sdazOOVcIp","3ViojmjbAp","9HNa5Wba9A"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe"],"result":"⫶⩼⫲-13D607C","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1252","layer":2},{"info":"number node, value=1539","layer":2},{"info":"compute binary expreesion, left_input=1252, right_input=1539, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1542","layer":1},{"info":"number node, value=4998","layer":2},{"info":"number node, value=1435","layer":2},{"info":"compute binary expreesion, left_input=4998, right_input=1435, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=7172130","layer":1},{"info":"compute binary expreesion, left_input=-1542, right_input=7172130, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-14347242","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲587⨓⫶⩼⫲6C9⪨≂⫶⩼⫲1733*⫶⩼⫲65A=⫶⩼⫲-13D607C","reverse_text":"⫶⩼⫲-13D607C=⫶⩼⫲587⨓⫶⩼⫲6C9⪨≂⫶⩼⫲1733*⫶⩼⫲65A","cot":[{"info":"⫶⩼⫲587⨓⫶⩼⫲6C9=⫶⩼⫲-6CC","layer":1},{"info":"⫶⩼⫲1733*⫶⩼⫲65A=⫶⩼⫲96A120","layer":1},{"info":"⫶⩼⫲-6CC⪨≂⫶⩼⫲96A120=⫶⩼⫲-13D607C","layer":0}]}
{"id":279,"expression_no_base_symbol":"($3775$⫡⨏$2356$)≹⇙⪍(⊥$1106$)","expression":"(⫶⩼⫲11BA⫡⨏⫶⩼⫲A71)≹⇙⪍(⊥⫶⩼⫲4DB)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":9,"operation_count":3,"complexity_ratio":3.0,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":3775,"base":15},"right_expr":{"type":"numeric_atoms","value":2356,"base":15}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":1106,"base":15}}},"used_operators":["AHs5Up7iyr","QMFrweE19q","Q3PJZHRvZv"],"dependent_operators":["dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","fu6greOZ01"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=3775","layer":2},{"info":"number node, value=2356","layer":2},{"info":"compute binary expreesion, left_input=3775, right_input=2356, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=24370","layer":1},{"info":"number node, value=1106","layer":2},{"info":"compute unary expreesion, input=1106, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=24370, 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":15,"result_base":15,"text":"(⫶⩼⫲11BA⫡⨏⫶⩼⫲A71)≹⇙⪍(⊥⫶⩼⫲4DB)=NaN","reverse_text":"NaN=(⫶⩼⫲11BA⫡⨏⫶⩼⫲A71)≹⇙⪍(⊥⫶⩼⫲4DB)","cot":[{"info":"⫶⩼⫲11BA⫡⨏⫶⩼⫲A71=⫶⩼⫲734A","layer":1},{"info":"⊥⫶⩼⫲4DB=NaN","layer":1},{"info":"⫶⩼⫲734A≹⇙⪍NaN=NaN","layer":0}]}
{"id":280,"expression_no_base_symbol":"($1257$⨵⪆$2728$)⨟⋌⩍($1019$⨐⩸⫘$4321$)","expression":"(⫶⩼⫲58C⨵⪆⫶⩼⫲C1D)⨟⋌⩍(⫶⩼⫲47E⨐⩸⫘⫶⩼⫲1431)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3,"operation_count":3,"complexity_ratio":1.0,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1257,"base":15},"right_expr":{"type":"numeric_atoms","value":2728,"base":15}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1019,"base":15},"right_expr":{"type":"numeric_atoms","value":4321,"base":15}}},"used_operators":["rGHVDoGpnC","2DQ55sFlQl","fu6greOZ01"],"dependent_operators":["Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1257","layer":2},{"info":"number node, value=2728","layer":2},{"info":"compute binary expreesion, left_input=1257, right_input=2728, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=1019","layer":2},{"info":"number node, value=4321","layer":2},{"info":"compute binary expreesion, left_input=1019, right_input=4321, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=160, 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":15,"result_base":15,"text":"(⫶⩼⫲58C⨵⪆⫶⩼⫲C1D)⨟⋌⩍(⫶⩼⫲47E⨐⩸⫘⫶⩼⫲1431)=NaN","reverse_text":"NaN=(⫶⩼⫲58C⨵⪆⫶⩼⫲C1D)⨟⋌⩍(⫶⩼⫲47E⨐⩸⫘⫶⩼⫲1431)","cot":[{"info":"⫶⩼⫲58C⨵⪆⫶⩼⫲C1D=⫶⩼⫲AA","layer":1},{"info":"⫶⩼⫲47E⨐⩸⫘⫶⩼⫲1431=NaN","layer":1},{"info":"⫶⩼⫲AA⨟⋌⩍NaN=NaN","layer":0}]}
{"id":281,"expression_no_base_symbol":"$1020$⪨≂$5323$⫡⨏(⋗⩬⋾$1949$)","expression":"⫶⩼⫲480⪨≂⫶⩼⫲189D⫡⨏(⋗⩬⋾⫶⩼⫲89E)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":15,"operation_count":3,"complexity_ratio":5.0,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1020,"base":15},"right_expr":{"type":"numeric_atoms","value":5323,"base":15}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1949,"base":15}}},"used_operators":["QMFrweE19q","sdazOOVcIp","DpFCA1CohY"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫶⩼⫲-10C71","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1020","layer":2},{"info":"number node, value=5323","layer":2},{"info":"compute binary expreesion, left_input=1020, right_input=5323, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-8504","layer":1},{"info":"number node, value=1949","layer":2},{"info":"compute unary expreesion, input=1949, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-5847","layer":1},{"info":"compute binary expreesion, left_input=-8504, right_input=-5847, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=-53431","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲480⪨≂⫶⩼⫲189D⫡⨏(⋗⩬⋾⫶⩼⫲89E)=⫶⩼⫲-10C71","reverse_text":"⫶⩼⫲-10C71=⫶⩼⫲480⪨≂⫶⩼⫲189D⫡⨏(⋗⩬⋾⫶⩼⫲89E)","cot":[{"info":"⫶⩼⫲480⪨≂⫶⩼⫲189D=⫶⩼⫲-27BE","layer":1},{"info":"⋗⩬⋾⫶⩼⫲89E=⫶⩼⫲-1AEC","layer":1},{"info":"⫶⩼⫲-27BE⫡⨏⫶⩼⫲-1AEC=⫶⩼⫲-10C71","layer":0}]}
{"id":282,"expression_no_base_symbol":"(⫓⪴$1723$)⪄$4123$∼$4452$","expression":"(⫓⪴⫶⩼⫲79D)⪄⫶⩼⫲134D∼⫶⩼⫲14BC","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1899,"operation_count":3,"complexity_ratio":633.0,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":1723,"base":15}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":4123,"base":15},"right_expr":{"type":"numeric_atoms","value":4452,"base":15}}},"used_operators":["SUmda5xLS4","eLxqMNBOBk","DyGG3AbaNP"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","9HNa5Wba9A","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1723","layer":2},{"info":"compute unary expreesion, input=1723, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=2968729","layer":1},{"info":"number node, value=4123","layer":2},{"info":"number node, value=4452","layer":2},{"info":"compute binary expreesion, left_input=4123, right_input=4452, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=2968729, 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":15,"result_base":15,"text":"(⫓⪴⫶⩼⫲79D)⪄⫶⩼⫲134D∼⫶⩼⫲14BC=NaN","reverse_text":"NaN=(⫓⪴⫶⩼⫲79D)⪄⫶⩼⫲134D∼⫶⩼⫲14BC","cot":[{"info":"⫓⪴⫶⩼⫲79D=⫶⩼⫲3D9954","layer":1},{"info":"⫶⩼⫲134D∼⫶⩼⫲14BC=NaN","layer":1},{"info":"⫶⩼⫲3D9954⪄NaN=NaN","layer":0}]}
{"id":283,"expression_no_base_symbol":"($2134$*$1063$)⇋≉","expression":"(⫶⩼⫲974*⫶⩼⫲4AD)⇋≉","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1066,"operation_count":2,"complexity_ratio":533.0,"tree":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2134,"base":15},"right_expr":{"type":"numeric_atoms","value":1063,"base":15}}},"used_operators":["XIabStNQrY","9HNa5Wba9A"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"⫶⩼⫲5E9376","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2134","layer":2},{"info":"number node, value=1063","layer":2},{"info":"compute binary expreesion, left_input=2134, right_input=1063, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=2268442","layer":1},{"info":"compute unary expreesion, input=2268442, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=4536786","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲974*⫶⩼⫲4AD)⇋≉=⫶⩼⫲5E9376","reverse_text":"⫶⩼⫲5E9376=(⫶⩼⫲974*⫶⩼⫲4AD)⇋≉","cot":[{"info":"⫶⩼⫲974*⫶⩼⫲4AD=⫶⩼⫲2EC1E7","layer":1},{"info":"⫶⩼⫲2EC1E7⇋≉=⫶⩼⫲5E9376","layer":0}]}
{"id":284,"expression_no_base_symbol":"(⩦⩻⨪$2105$)⪢$1292$⊴$1378$","expression":"(⩦⩻⨪⫶⩼⫲955)⪢⫶⩼⫲5B2⊴⫶⩼⫲61D","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1388,"operation_count":3,"complexity_ratio":462.6666666666667,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":2105,"base":15}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1292,"base":15},"right_expr":{"type":"numeric_atoms","value":1378,"base":15}}},"used_operators":["dWAJyo7jo9","2td37pGCOC","Nsiff2A1zJ"],"dependent_operators":["k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=2105","layer":2},{"info":"compute unary expreesion, input=2105, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=2105","layer":1},{"info":"number node, value=1292","layer":2},{"info":"number node, value=1378","layer":2},{"info":"compute binary expreesion, left_input=1292, right_input=1378, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=2105, 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":15,"result_base":15,"text":"(⩦⩻⨪⫶⩼⫲955)⪢⫶⩼⫲5B2⊴⫶⩼⫲61D=NaN","reverse_text":"NaN=(⩦⩻⨪⫶⩼⫲955)⪢⫶⩼⫲5B2⊴⫶⩼⫲61D","cot":[{"info":"⩦⩻⨪⫶⩼⫲955=⫶⩼⫲955","layer":1},{"info":"⫶⩼⫲5B2⊴⫶⩼⫲61D=NaN","layer":1},{"info":"⫶⩼⫲955⪢NaN=NaN","layer":0}]}
{"id":285,"expression_no_base_symbol":"$1120$⊉≛↸$2387$↪⪝","expression":"⫶⩼⫲4EA⊉≛↸⫶⩼⫲A92↪⪝","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":702,"operation_count":2,"complexity_ratio":351.0,"tree":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1120,"base":15},"right_expr":{"type":"numeric_atoms","value":2387,"base":15}}},"used_operators":["l07mrZUIn9","DZ8iAZOCBD"],"dependent_operators":["9HNa5Wba9A","2DDjHMKMc0","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫶⩼⫲C071AC0","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1120","layer":2},{"info":"number node, value=2387","layer":2},{"info":"compute binary expreesion, left_input=1120, right_input=2387, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2240","layer":1},{"info":"compute unary expreesion, input=2240, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=137047680","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲4EA⊉≛↸⫶⩼⫲A92↪⪝=⫶⩼⫲C071AC0","reverse_text":"⫶⩼⫲C071AC0=⫶⩼⫲4EA⊉≛↸⫶⩼⫲A92↪⪝","cot":[{"info":"⫶⩼⫲4EA⊉≛↸⫶⩼⫲A92=⫶⩼⫲9E5","layer":1},{"info":"⫶⩼⫲9E5↪⪝=⫶⩼⫲C071AC0","layer":0}]}
{"id":286,"expression_no_base_symbol":"($1958$∸)⪮%⊝(⩦⩻⨪$4117$)","expression":"(⫶⩼⫲8A8∸)⪮%⊝(⩦⩻⨪⫶⩼⫲1347)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":189,"operation_count":3,"complexity_ratio":63.0,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":1958,"base":15}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":4117,"base":15}}},"used_operators":["IWmyXbctLI","o20kRiQErp","2td37pGCOC"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","tmPS8pqC7x","rysDP5nf3Z","t8gj7n24qd"],"result":"⫶⩼⫲2EA","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1958","layer":2},{"info":"compute unary expreesion, input=1958, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":1},{"info":"number node, value=4117","layer":2},{"info":"compute unary expreesion, input=4117, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=4117","layer":1},{"info":"compute binary expreesion, left_input=177, right_input=4117, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=670","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲8A8∸)⪮%⊝(⩦⩻⨪⫶⩼⫲1347)=⫶⩼⫲2EA","reverse_text":"⫶⩼⫲2EA=(⫶⩼⫲8A8∸)⪮%⊝(⩦⩻⨪⫶⩼⫲1347)","cot":[{"info":"⫶⩼⫲8A8∸=⫶⩼⫲BC","layer":1},{"info":"⩦⩻⨪⫶⩼⫲1347=⫶⩼⫲1347","layer":1},{"info":"⫶⩼⫲BC⪮%⊝⫶⩼⫲1347=⫶⩼⫲2EA","layer":0}]}
{"id":287,"expression_no_base_symbol":"$2333$⨳⩥⨓$1929$⨸⪁$4460$∼$2973$","expression":"⫶⩼⫲A58⨳⩥⨓⫶⩼⫲889⨸⪁⫶⩼⫲14C5∼⫶⩼⫲D33","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":95,"operation_count":3,"complexity_ratio":31.666666666666668,"tree":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2333,"base":15},"right_expr":{"type":"numeric_atoms","value":1929,"base":15}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":4460,"base":15},"right_expr":{"type":"numeric_atoms","value":2973,"base":15}}},"used_operators":["g55IO6H4Gj","nCS4ZIUYfx","DyGG3AbaNP"],"dependent_operators":["W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2333","layer":2},{"info":"number node, value=1929","layer":2},{"info":"compute binary expreesion, left_input=2333, right_input=1929, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-404","layer":1},{"info":"number node, value=4460","layer":2},{"info":"number node, value=2973","layer":2},{"info":"compute binary expreesion, left_input=4460, right_input=2973, 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=-404, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲A58⨳⩥⨓⫶⩼⫲889⨸⪁⫶⩼⫲14C5∼⫶⩼⫲D33=NaN","reverse_text":"NaN=⫶⩼⫲A58⨳⩥⨓⫶⩼⫲889⨸⪁⫶⩼⫲14C5∼⫶⩼⫲D33","cot":[{"info":"⫶⩼⫲A58⨳⩥⨓⫶⩼⫲889=⫶⩼⫲-1BE","layer":1},{"info":"⫶⩼⫲14C5∼⫶⩼⫲D33=NaN","layer":1},{"info":"⫶⩼⫲-1BE⨸⪁NaN=NaN","layer":0}]}
{"id":288,"expression_no_base_symbol":"$4014$⩚⊴⇥$2721$⨐⩸⫘(⪝⪂⫅$1393$)","expression":"⫶⩼⫲12C9⩚⊴⇥⫶⩼⫲C16⨐⩸⫘(⪝⪂⫅⫶⩼⫲62D)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":154,"operation_count":3,"complexity_ratio":51.333333333333336,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":4014,"base":15},"right_expr":{"type":"numeric_atoms","value":2721,"base":15}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":1393,"base":15}}},"used_operators":["fu6greOZ01","NTOWxs364D","XTarYq4gQB"],"dependent_operators":["3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","9HNa5Wba9A","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=4014","layer":2},{"info":"number node, value=2721","layer":2},{"info":"compute binary expreesion, left_input=4014, right_input=2721, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-6856","layer":1},{"info":"number node, value=1393","layer":2},{"info":"compute unary expreesion, input=1393, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-204771","layer":1},{"info":"compute binary expreesion, left_input=-6856, right_input=-204771, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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":15,"result_base":15,"text":"⫶⩼⫲12C9⩚⊴⇥⫶⩼⫲C16⨐⩸⫘(⪝⪂⫅⫶⩼⫲62D)=NaN","reverse_text":"NaN=⫶⩼⫲12C9⩚⊴⇥⫶⩼⫲C16⨐⩸⫘(⪝⪂⫅⫶⩼⫲62D)","cot":[{"info":"⫶⩼⫲12C9⩚⊴⇥⫶⩼⫲C16=⫶⩼⫲-2071","layer":1},{"info":"⪝⪂⫅⫶⩼⫲62D=⫶⩼⫲-40A16","layer":1},{"info":"⫶⩼⫲-2071⨐⩸⫘⫶⩼⫲-40A16=NaN","layer":0}]}
{"id":289,"expression_no_base_symbol":"$1521$∑⇟⊟$3922$⋷$1820$⫸⊐$6046$","expression":"⫶⩼⫲6B6∑⇟⊟⫶⩼⫲1267⋷⫶⩼⫲815⫸⊐⫶⩼⫲1BD1","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":27,"operation_count":3,"complexity_ratio":9.0,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1521,"base":15},"right_expr":{"type":"numeric_atoms","value":3922,"base":15}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1820,"base":15},"right_expr":{"type":"numeric_atoms","value":6046,"base":15}}},"used_operators":["23Mk6UjR3U","U7g4x0WXJJ","mqXw5SEYmG"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1521","layer":2},{"info":"number node, value=3922","layer":2},{"info":"compute binary expreesion, left_input=1521, right_input=3922, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=1820","layer":2},{"info":"number node, value=6046","layer":2},{"info":"compute binary expreesion, left_input=1820, right_input=6046, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=24059","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=24059, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲6B6∑⇟⊟⫶⩼⫲1267⋷⫶⩼⫲815⫸⊐⫶⩼⫲1BD1=NaN","reverse_text":"NaN=⫶⩼⫲6B6∑⇟⊟⫶⩼⫲1267⋷⫶⩼⫲815⫸⊐⫶⩼⫲1BD1","cot":[{"info":"⫶⩼⫲6B6∑⇟⊟⫶⩼⫲1267=NaN","layer":1},{"info":"⫶⩼⫲815⫸⊐⫶⩼⫲1BD1=⫶⩼⫲71DE","layer":1},{"info":"NaN⋷⫶⩼⫲71DE=NaN","layer":0}]}
{"id":290,"expression_no_base_symbol":"$7887$≧⫂∧$3262$⇋≉","expression":"⫶⩼⫲250C≧⫂∧⫶⩼⫲E77⇋≉","highest_n_order":1,"priority_hierarchical_complexity":1,"normalized_expansion_degree":4,"operation_count":2,"complexity_ratio":2.0,"tree":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":7887,"base":15},"right_expr":{"type":"numeric_atoms","value":3262,"base":15}}},"used_operators":["XIabStNQrY","Ph9nP6C5qx"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⫶⩼⫲1955","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=7887","layer":2},{"info":"number node, value=3262","layer":2},{"info":"compute binary expreesion, left_input=7887, right_input=3262, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2789","layer":1},{"info":"compute unary expreesion, input=2789, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=5480","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲250C≧⫂∧⫶⩼⫲E77⇋≉=⫶⩼⫲1955","reverse_text":"⫶⩼⫲1955=⫶⩼⫲250C≧⫂∧⫶⩼⫲E77⇋≉","cot":[{"info":"⫶⩼⫲250C≧⫂∧⫶⩼⫲E77=⫶⩼⫲C5E","layer":1},{"info":"⫶⩼⫲C5E⇋≉=⫶⩼⫲1955","layer":0}]}
{"id":291,"expression_no_base_symbol":"$1917$⩨$6263$-$3528$⩷∴$1691$","expression":"⫶⩼⫲87C⩨⫶⩼⫲1CC8-⫶⩼⫲10A3⩷∴⫶⩼⫲77B","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":13,"operation_count":3,"complexity_ratio":4.333333333333333,"tree":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1917,"base":15},"right_expr":{"type":"numeric_atoms","value":6263,"base":15}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":3528,"base":15},"right_expr":{"type":"numeric_atoms","value":1691,"base":15}}},"used_operators":["rysDP5nf3Z","2DlMacCsIx","9FxExcQeMw"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z"],"result":"⫶⩼⫲-1136","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1917","layer":2},{"info":"number node, value=6263","layer":2},{"info":"compute binary expreesion, left_input=1917, right_input=6263, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-9","layer":1},{"info":"number node, value=3528","layer":2},{"info":"number node, value=1691","layer":2},{"info":"compute binary expreesion, left_input=3528, right_input=1691, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=3642","layer":1},{"info":"compute binary expreesion, left_input=-9, right_input=3642, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-3651","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲87C⩨⫶⩼⫲1CC8-⫶⩼⫲10A3⩷∴⫶⩼⫲77B=⫶⩼⫲-1136","reverse_text":"⫶⩼⫲-1136=⫶⩼⫲87C⩨⫶⩼⫲1CC8-⫶⩼⫲10A3⩷∴⫶⩼⫲77B","cot":[{"info":"⫶⩼⫲87C⩨⫶⩼⫲1CC8=⫶⩼⫲-9","layer":1},{"info":"⫶⩼⫲10A3⩷∴⫶⩼⫲77B=⫶⩼⫲112C","layer":1},{"info":"⫶⩼⫲-9-⫶⩼⫲112C=⫶⩼⫲-1136","layer":0}]}
{"id":292,"expression_no_base_symbol":"(⫓⪴$2125$)⪄$3484$⨰$3952$","expression":"(⫓⪴⫶⩼⫲96A)⪄⫶⩼⫲1074⨰⫶⩼⫲1287","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2226,"operation_count":3,"complexity_ratio":742.0,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":2125,"base":15}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":3484,"base":15},"right_expr":{"type":"numeric_atoms","value":3952,"base":15}}},"used_operators":["SUmda5xLS4","eLxqMNBOBk","eewbuw0ToL"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫶⩼⫲-3DA11C3C","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2125","layer":2},{"info":"compute unary expreesion, input=2125, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=4515625","layer":1},{"info":"number node, value=3484","layer":2},{"info":"number node, value=3952","layer":2},{"info":"compute binary expreesion, left_input=3484, right_input=3952, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-458","layer":1},{"info":"compute binary expreesion, left_input=4515625, right_input=-458, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-668306757","layer":0}],"base":15,"result_base":15,"text":"(⫓⪴⫶⩼⫲96A)⪄⫶⩼⫲1074⨰⫶⩼⫲1287=⫶⩼⫲-3DA11C3C","reverse_text":"⫶⩼⫲-3DA11C3C=(⫓⪴⫶⩼⫲96A)⪄⫶⩼⫲1074⨰⫶⩼⫲1287","cot":[{"info":"⫓⪴⫶⩼⫲96A=⫶⩼⫲5E2E6A","layer":1},{"info":"⫶⩼⫲1074⨰⫶⩼⫲1287=⫶⩼⫲-208","layer":1},{"info":"⫶⩼⫲5E2E6A⪄⫶⩼⫲-208=⫶⩼⫲-3DA11C3C","layer":0}]}
{"id":293,"expression_no_base_symbol":"$3247$⨐⩸⫘$3975$⊭↱$4611$⫥∨⫟$1872$","expression":"⫶⩼⫲E67⨐⩸⫘⫶⩼⫲12A0⊭↱⫶⩼⫲1576⫥∨⫟⫶⩼⫲84C","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":161,"operation_count":3,"complexity_ratio":53.666666666666664,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":3247,"base":15},"right_expr":{"type":"numeric_atoms","value":3975,"base":15}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":4611,"base":15},"right_expr":{"type":"numeric_atoms","value":1872,"base":15}}},"used_operators":["COABgblf1C","fu6greOZ01","KYD54nUTWz"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=3247","layer":2},{"info":"number node, value=3975","layer":2},{"info":"compute binary expreesion, left_input=3247, right_input=3975, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=4611","layer":2},{"info":"number node, value=1872","layer":2},{"info":"compute binary expreesion, left_input=4611, right_input=1872, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲E67⨐⩸⫘⫶⩼⫲12A0⊭↱⫶⩼⫲1576⫥∨⫟⫶⩼⫲84C=NaN","reverse_text":"NaN=⫶⩼⫲E67⨐⩸⫘⫶⩼⫲12A0⊭↱⫶⩼⫲1576⫥∨⫟⫶⩼⫲84C","cot":[{"info":"⫶⩼⫲E67⨐⩸⫘⫶⩼⫲12A0=NaN","layer":1},{"info":"⫶⩼⫲1576⫥∨⫟⫶⩼⫲84C=NaN","layer":1},{"info":"NaN⊭↱NaN=NaN","layer":0}]}
{"id":294,"expression_no_base_symbol":"(⨞⊢$1219$)⩤","expression":"(⨞⊢⫶⩼⫲564)⩤","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3,"operation_count":2,"complexity_ratio":1.5,"tree":{"type":"unary","operator":"⩤","unary_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":1219,"base":15}}},"used_operators":["Z2TMIBDE3Q","xUOZtlo3hN"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⫶⩼⫲62D","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1219","layer":2},{"info":"compute unary expreesion, input=1219, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1393","layer":1},{"info":"compute unary expreesion, input=-1393, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=1393","layer":0}],"base":15,"result_base":15,"text":"(⨞⊢⫶⩼⫲564)⩤=⫶⩼⫲62D","reverse_text":"⫶⩼⫲62D=(⨞⊢⫶⩼⫲564)⩤","cot":[{"info":"⨞⊢⫶⩼⫲564=⫶⩼⫲-62D","layer":1},{"info":"⫶⩼⫲-62D⩤=⫶⩼⫲62D","layer":0}]}
{"id":295,"expression_no_base_symbol":"(↽≂$1647$)⪛($5028$⨎$6116$)","expression":"(↽≂⫶⩼⫲74C)⪛(⫶⩼⫲1753⨎⫶⩼⫲1C2B)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":8,"operation_count":3,"complexity_ratio":2.6666666666666665,"tree":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":1647,"base":15}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":5028,"base":15},"right_expr":{"type":"numeric_atoms","value":6116,"base":15}}},"used_operators":["uFcxV4UQCh","u6S6b8DprG","rJVOvQCfKK"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"⫶⩼⫲C82","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1647","layer":2},{"info":"compute unary expreesion, input=1647, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-3294","layer":1},{"info":"number node, value=5028","layer":2},{"info":"number node, value=6116","layer":2},{"info":"compute binary expreesion, left_input=5028, right_input=6116, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=6116","layer":1},{"info":"compute binary expreesion, left_input=-3294, right_input=6116, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2822","layer":0}],"base":15,"result_base":15,"text":"(↽≂⫶⩼⫲74C)⪛(⫶⩼⫲1753⨎⫶⩼⫲1C2B)=⫶⩼⫲C82","reverse_text":"⫶⩼⫲C82=(↽≂⫶⩼⫲74C)⪛(⫶⩼⫲1753⨎⫶⩼⫲1C2B)","cot":[{"info":"↽≂⫶⩼⫲74C=⫶⩼⫲-E99","layer":1},{"info":"⫶⩼⫲1753⨎⫶⩼⫲1C2B=⫶⩼⫲1C2B","layer":1},{"info":"⫶⩼⫲-E99⪛⫶⩼⫲1C2B=⫶⩼⫲C82","layer":0}]}
{"id":296,"expression_no_base_symbol":"$1984$∀⇚≩$3778$⩚⊴⇥($1035$⩠)","expression":"⫶⩼⫲8C4∀⇚≩⫶⩼⫲11BD⩚⊴⇥(⫶⩼⫲490⩠)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":13909,"operation_count":3,"complexity_ratio":4636.333333333333,"tree":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1984,"base":15},"right_expr":{"type":"numeric_atoms","value":3778,"base":15}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":1035,"base":15}}},"used_operators":["NTOWxs364D","LRNGc0VcxI","sJAwomhLZr"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","X99M06cbEe","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1984","layer":2},{"info":"number node, value=3778","layer":2},{"info":"compute binary expreesion, left_input=1984, right_input=3778, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=1035","layer":2},{"info":"compute unary expreesion, input=1035, 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 = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲8C4∀⇚≩⫶⩼⫲11BD⩚⊴⇥(⫶⩼⫲490⩠)=NaN","reverse_text":"NaN=⫶⩼⫲8C4∀⇚≩⫶⩼⫲11BD⩚⊴⇥(⫶⩼⫲490⩠)","cot":[{"info":"⫶⩼⫲8C4∀⇚≩⫶⩼⫲11BD=NaN","layer":1},{"info":"⫶⩼⫲490⩠=⫶⩼⫲0","layer":1},{"info":"NaN⩚⊴⇥⫶⩼⫲0=NaN","layer":0}]}
{"id":297,"expression_no_base_symbol":"($8592$⨵⪆$1046$)*($1071$⋷$2173$)","expression":"(⫶⩼⫲282C⨵⪆⫶⩼⫲49B)*(⫶⩼⫲4B6⋷⫶⩼⫲99D)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":164,"operation_count":3,"complexity_ratio":54.666666666666664,"tree":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":8592,"base":15},"right_expr":{"type":"numeric_atoms","value":1046,"base":15}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1071,"base":15},"right_expr":{"type":"numeric_atoms","value":2173,"base":15}}},"used_operators":["9HNa5Wba9A","2DQ55sFlQl","23Mk6UjR3U"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⫶⩼⫲A53D5","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=8592","layer":2},{"info":"number node, value=1046","layer":2},{"info":"compute binary expreesion, left_input=8592, right_input=1046, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=1071","layer":2},{"info":"number node, value=2173","layer":2},{"info":"compute binary expreesion, left_input=1071, right_input=2173, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=3275","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=3275, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=524000","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲282C⨵⪆⫶⩼⫲49B)*(⫶⩼⫲4B6⋷⫶⩼⫲99D)=⫶⩼⫲A53D5","reverse_text":"⫶⩼⫲A53D5=(⫶⩼⫲282C⨵⪆⫶⩼⫲49B)*(⫶⩼⫲4B6⋷⫶⩼⫲99D)","cot":[{"info":"⫶⩼⫲282C⨵⪆⫶⩼⫲49B=⫶⩼⫲AA","layer":1},{"info":"⫶⩼⫲4B6⋷⫶⩼⫲99D=⫶⩼⫲E85","layer":1},{"info":"⫶⩼⫲AA*⫶⩼⫲E85=⫶⩼⫲A53D5","layer":0}]}
{"id":298,"expression_no_base_symbol":"$5886$↺$2851$⫸⊐$5928$⪛$4887$","expression":"⫶⩼⫲1B26↺⫶⩼⫲CA1⫸⊐⫶⩼⫲1B53⪛⫶⩼⫲16AC","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":30,"operation_count":3,"complexity_ratio":10.0,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":5886,"base":15},"right_expr":{"type":"numeric_atoms","value":2851,"base":15}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":5928,"base":15},"right_expr":{"type":"numeric_atoms","value":4887,"base":15}}},"used_operators":["mqXw5SEYmG","7j4O788W3g","uFcxV4UQCh"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"⫶⩼⫲12E4","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=5886","layer":2},{"info":"number node, value=2851","layer":2},{"info":"compute binary expreesion, left_input=5886, right_input=2851, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2851","layer":1},{"info":"number node, value=5928","layer":2},{"info":"number node, value=4887","layer":2},{"info":"compute binary expreesion, left_input=5928, right_input=4887, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1041","layer":1},{"info":"compute binary expreesion, left_input=2851, right_input=1041, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=4039","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲1B26↺⫶⩼⫲CA1⫸⊐⫶⩼⫲1B53⪛⫶⩼⫲16AC=⫶⩼⫲12E4","reverse_text":"⫶⩼⫲12E4=⫶⩼⫲1B26↺⫶⩼⫲CA1⫸⊐⫶⩼⫲1B53⪛⫶⩼⫲16AC","cot":[{"info":"⫶⩼⫲1B26↺⫶⩼⫲CA1=⫶⩼⫲CA1","layer":1},{"info":"⫶⩼⫲1B53⪛⫶⩼⫲16AC=⫶⩼⫲496","layer":1},{"info":"⫶⩼⫲CA1⫸⊐⫶⩼⫲496=⫶⩼⫲12E4","layer":0}]}
{"id":299,"expression_no_base_symbol":"(+⊝⨔$1295$)*$4874$⫥∨⫟$2525$","expression":"(+⊝⨔⫶⩼⫲5B5)*⫶⩼⫲169E⫥∨⫟⫶⩼⫲B35","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":195,"operation_count":3,"complexity_ratio":65.0,"tree":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":1295,"base":15}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":4874,"base":15},"right_expr":{"type":"numeric_atoms","value":2525,"base":15}}},"used_operators":["9HNa5Wba9A","DhbWaqg5eL","KYD54nUTWz"],"dependent_operators":["W4YGzv6Whe","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1295","layer":2},{"info":"compute unary expreesion, input=1295, op_id = 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=4874","layer":2},{"info":"number node, value=2525","layer":2},{"info":"compute binary expreesion, left_input=4874, right_input=2525, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1522, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":15,"result_base":15,"text":"(+⊝⨔⫶⩼⫲5B5)*⫶⩼⫲169E⫥∨⫟⫶⩼⫲B35=NaN","reverse_text":"NaN=(+⊝⨔⫶⩼⫲5B5)*⫶⩼⫲169E⫥∨⫟⫶⩼⫲B35","cot":[{"info":"+⊝⨔⫶⩼⫲5B5=⫶⩼⫲6B7","layer":1},{"info":"⫶⩼⫲169E⫥∨⫟⫶⩼⫲B35=NaN","layer":1},{"info":"⫶⩼⫲6B7*NaN=NaN","layer":0}]}
{"id":300,"expression_no_base_symbol":"(≉$5568$)↙$1027$⨪↰⇹$4647$","expression":"(≉⫶⩼⫲19B3)↙⫶⩼⫲487⨪↰⇹⫶⩼⫲159C","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2059,"operation_count":3,"complexity_ratio":686.3333333333334,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":5568,"base":15}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1027,"base":15},"right_expr":{"type":"numeric_atoms","value":4647,"base":15}}},"used_operators":["yyfyN0ffXY","e1ybzncUwg","tmPS8pqC7x"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK"],"result":"⫶⩼⫲-DA6","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=5568","layer":2},{"info":"compute unary expreesion, input=5568, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=6099","layer":1},{"info":"number node, value=1027","layer":2},{"info":"number node, value=4647","layer":2},{"info":"compute binary expreesion, left_input=1027, right_input=4647, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1027","layer":1},{"info":"compute binary expreesion, left_input=6099, right_input=1027, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3081","layer":0}],"base":15,"result_base":15,"text":"(≉⫶⩼⫲19B3)↙⫶⩼⫲487⨪↰⇹⫶⩼⫲159C=⫶⩼⫲-DA6","reverse_text":"⫶⩼⫲-DA6=(≉⫶⩼⫲19B3)↙⫶⩼⫲487⨪↰⇹⫶⩼⫲159C","cot":[{"info":"≉⫶⩼⫲19B3=⫶⩼⫲1C19","layer":1},{"info":"⫶⩼⫲487⨪↰⇹⫶⩼⫲159C=⫶⩼⫲487","layer":1},{"info":"⫶⩼⫲1C19↙⫶⩼⫲487=⫶⩼⫲-DA6","layer":0}]}
{"id":301,"expression_no_base_symbol":"($4943$⊦⊿)⪮%⊝(⫛⫱⨽$2510$)","expression":"(⫶⩼⫲16E8⊦⊿)⪮%⊝(⫛⫱⨽⫶⩼⫲B25)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1437,"operation_count":3,"complexity_ratio":479.0,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":4943,"base":15}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":2510,"base":15}}},"used_operators":["IWmyXbctLI","14qkJME0vr","DlLNRPXxWL"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=4943","layer":2},{"info":"compute unary expreesion, input=4943, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-14908","layer":1},{"info":"number node, value=2510","layer":2},{"info":"compute unary expreesion, input=2510, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-14908, right_input=0, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲16E8⊦⊿)⪮%⊝(⫛⫱⨽⫶⩼⫲B25)=NaN","reverse_text":"NaN=(⫶⩼⫲16E8⊦⊿)⪮%⊝(⫛⫱⨽⫶⩼⫲B25)","cot":[{"info":"⫶⩼⫲16E8⊦⊿=⫶⩼⫲-463D","layer":1},{"info":"⫛⫱⨽⫶⩼⫲B25=⫶⩼⫲0","layer":1},{"info":"⫶⩼⫲-463D⪮%⊝⫶⩼⫲0=NaN","layer":0}]}
{"id":302,"expression_no_base_symbol":"($1478$∲⫓$3262$)⨎($3305$⨸⪁$1430$)","expression":"(⫶⩼⫲688∲⫓⫶⩼⫲E77)⨎(⫶⩼⫲EA5⨸⪁⫶⩼⫲655)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6,"operation_count":3,"complexity_ratio":2.0,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1478,"base":15},"right_expr":{"type":"numeric_atoms","value":3262,"base":15}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":3305,"base":15},"right_expr":{"type":"numeric_atoms","value":1430,"base":15}}},"used_operators":["rJVOvQCfKK","i8ToyICDmI","g55IO6H4Gj"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe"],"result":"⫶⩼⫲2C15","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1478","layer":2},{"info":"number node, value=3262","layer":2},{"info":"compute binary expreesion, left_input=1478, right_input=3262, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":1},{"info":"number node, value=3305","layer":2},{"info":"number node, value=1430","layer":2},{"info":"compute binary expreesion, left_input=3305, right_input=1430, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=9470","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=9470, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=9470","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲688∲⫓⫶⩼⫲E77)⨎(⫶⩼⫲EA5⨸⪁⫶⩼⫲655)=⫶⩼⫲2C15","reverse_text":"⫶⩼⫲2C15=(⫶⩼⫲688∲⫓⫶⩼⫲E77)⨎(⫶⩼⫲EA5⨸⪁⫶⩼⫲655)","cot":[{"info":"⫶⩼⫲688∲⫓⫶⩼⫲E77=⫶⩼⫲0","layer":1},{"info":"⫶⩼⫲EA5⨸⪁⫶⩼⫲655=⫶⩼⫲2C15","layer":1},{"info":"⫶⩼⫲0⨎⫶⩼⫲2C15=⫶⩼⫲2C15","layer":0}]}
{"id":303,"expression_no_base_symbol":"(≉$4568$)⋝⋈⪟($1169$⨰$3701$)","expression":"(≉⫶⩼⫲1548)⋝⋈⪟(⫶⩼⫲52E⨰⫶⩼⫲116B)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":11,"operation_count":3,"complexity_ratio":3.6666666666666665,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":4568,"base":15}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1169,"base":15},"right_expr":{"type":"numeric_atoms","value":3701,"base":15}}},"used_operators":["2DDjHMKMc0","e1ybzncUwg","eewbuw0ToL"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫶⩼⫲179E","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=4568","layer":2},{"info":"compute unary expreesion, input=4568, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=5099","layer":1},{"info":"number node, value=1169","layer":2},{"info":"number node, value=3701","layer":2},{"info":"compute binary expreesion, left_input=1169, right_input=3701, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-2522","layer":1},{"info":"compute binary expreesion, left_input=5099, right_input=-2522, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=5099","layer":0}],"base":15,"result_base":15,"text":"(≉⫶⩼⫲1548)⋝⋈⪟(⫶⩼⫲52E⨰⫶⩼⫲116B)=⫶⩼⫲179E","reverse_text":"⫶⩼⫲179E=(≉⫶⩼⫲1548)⋝⋈⪟(⫶⩼⫲52E⨰⫶⩼⫲116B)","cot":[{"info":"≉⫶⩼⫲1548=⫶⩼⫲179E","layer":1},{"info":"⫶⩼⫲52E⨰⫶⩼⫲116B=⫶⩼⫲-B32","layer":1},{"info":"⫶⩼⫲179E⋝⋈⪟⫶⩼⫲-B32=⫶⩼⫲179E","layer":0}]}
{"id":304,"expression_no_base_symbol":"$3456$⪘⫢$2077$⩚⊴⇥$8254$⋓$2476$","expression":"⫶⩼⫲1056⪘⫢⫶⩼⫲937⩚⊴⇥⫶⩼⫲26A4⋓⫶⩼⫲B01","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":31,"operation_count":3,"complexity_ratio":10.333333333333334,"tree":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":3456,"base":15},"right_expr":{"type":"numeric_atoms","value":2077,"base":15}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":8254,"base":15},"right_expr":{"type":"numeric_atoms","value":2476,"base":15}}},"used_operators":["NTOWxs364D","oacrs7FA3X","T2fj7uvVaJ"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"⫶⩼⫲-20A9","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=3456","layer":2},{"info":"number node, value=2077","layer":2},{"info":"compute binary expreesion, left_input=3456, right_input=2077, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=6788","layer":1},{"info":"number node, value=8254","layer":2},{"info":"number node, value=2476","layer":2},{"info":"compute binary expreesion, left_input=8254, right_input=2476, op_id = T2fj7uvVaJ binary_op_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=6788, right_input=0, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-6909","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲1056⪘⫢⫶⩼⫲937⩚⊴⇥⫶⩼⫲26A4⋓⫶⩼⫲B01=⫶⩼⫲-20A9","reverse_text":"⫶⩼⫲-20A9=⫶⩼⫲1056⪘⫢⫶⩼⫲937⩚⊴⇥⫶⩼⫲26A4⋓⫶⩼⫲B01","cot":[{"info":"⫶⩼⫲1056⪘⫢⫶⩼⫲937=⫶⩼⫲2028","layer":1},{"info":"⫶⩼⫲26A4⋓⫶⩼⫲B01=⫶⩼⫲0","layer":1},{"info":"⫶⩼⫲2028⩚⊴⇥⫶⩼⫲0=⫶⩼⫲-20A9","layer":0}]}
{"id":305,"expression_no_base_symbol":"($1088$≎⊠⪸$4956$)∑⇟⊟($1936$⩨$1274$)","expression":"(⫶⩼⫲4C8≎⊠⪸⫶⩼⫲1706)∑⇟⊟(⫶⩼⫲891⩨⫶⩼⫲59E)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":275,"operation_count":3,"complexity_ratio":91.66666666666667,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1088,"base":15},"right_expr":{"type":"numeric_atoms","value":4956,"base":15}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1936,"base":15},"right_expr":{"type":"numeric_atoms","value":1274,"base":15}}},"used_operators":["U7g4x0WXJJ","bJkvcejdHO","2DlMacCsIx"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"⫶⩼⫲58549","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1088","layer":2},{"info":"number node, value=4956","layer":2},{"info":"compute binary expreesion, left_input=1088, right_input=4956, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=281319","layer":1},{"info":"number node, value=1936","layer":2},{"info":"number node, value=1274","layer":2},{"info":"compute binary expreesion, left_input=1936, right_input=1274, 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=281319, right_input=0, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=281319","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲4C8≎⊠⪸⫶⩼⫲1706)∑⇟⊟(⫶⩼⫲891⩨⫶⩼⫲59E)=⫶⩼⫲58549","reverse_text":"⫶⩼⫲58549=(⫶⩼⫲4C8≎⊠⪸⫶⩼⫲1706)∑⇟⊟(⫶⩼⫲891⩨⫶⩼⫲59E)","cot":[{"info":"⫶⩼⫲4C8≎⊠⪸⫶⩼⫲1706=⫶⩼⫲58549","layer":1},{"info":"⫶⩼⫲891⩨⫶⩼⫲59E=⫶⩼⫲0","layer":1},{"info":"⫶⩼⫲58549∑⇟⊟⫶⩼⫲0=⫶⩼⫲58549","layer":0}]}
{"id":306,"expression_no_base_symbol":"($3703$↙$5075$)⊴($6394$≣⋋)","expression":"(⫶⩼⫲116D↙⫶⩼⫲1785)⊴(⫶⩼⫲1D64≣⋋)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5599,"operation_count":3,"complexity_ratio":1866.3333333333333,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":3703,"base":15},"right_expr":{"type":"numeric_atoms","value":5075,"base":15}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":6394,"base":15}}},"used_operators":["Nsiff2A1zJ","yyfyN0ffXY","Tcnh7f0tEr"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","tmPS8pqC7x","DpFCA1CohY","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A"],"result":"⫶⩼⫲-54","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=3703","layer":2},{"info":"number node, value=5075","layer":2},{"info":"compute binary expreesion, left_input=3703, right_input=5075, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-15225","layer":1},{"info":"number node, value=6394","layer":2},{"info":"compute unary expreesion, input=6394, 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=-15225, right_input=0, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=-79","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲116D↙⫶⩼⫲1785)⊴(⫶⩼⫲1D64≣⋋)=⫶⩼⫲-54","reverse_text":"⫶⩼⫲-54=(⫶⩼⫲116D↙⫶⩼⫲1785)⊴(⫶⩼⫲1D64≣⋋)","cot":[{"info":"⫶⩼⫲116D↙⫶⩼⫲1785=⫶⩼⫲-47A0","layer":1},{"info":"⫶⩼⫲1D64≣⋋=⫶⩼⫲0","layer":1},{"info":"⫶⩼⫲-47A0⊴⫶⩼⫲0=⫶⩼⫲-54","layer":0}]}
{"id":307,"expression_no_base_symbol":"(≉$6078$)⋥≓≎($3033$↙$3647$)","expression":"(≉⫶⩼⫲1C03)⋥≓≎(⫶⩼⫲D73↙⫶⩼⫲1132)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3656,"operation_count":3,"complexity_ratio":1218.6666666666667,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":6078,"base":15}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":3033,"base":15},"right_expr":{"type":"numeric_atoms","value":3647,"base":15}}},"used_operators":["Qy55tPpLXF","e1ybzncUwg","yyfyN0ffXY"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY"],"result":"⫶⩼⫲-8673","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=6078","layer":2},{"info":"compute unary expreesion, input=6078, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=6609","layer":1},{"info":"number node, value=3033","layer":2},{"info":"number node, value=3647","layer":2},{"info":"compute binary expreesion, left_input=3033, right_input=3647, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-10941","layer":1},{"info":"compute binary expreesion, left_input=6609, right_input=-10941, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-28458","layer":0}],"base":15,"result_base":15,"text":"(≉⫶⩼⫲1C03)⋥≓≎(⫶⩼⫲D73↙⫶⩼⫲1132)=⫶⩼⫲-8673","reverse_text":"⫶⩼⫲-8673=(≉⫶⩼⫲1C03)⋥≓≎(⫶⩼⫲D73↙⫶⩼⫲1132)","cot":[{"info":"≉⫶⩼⫲1C03=⫶⩼⫲1E59","layer":1},{"info":"⫶⩼⫲D73↙⫶⩼⫲1132=⫶⩼⫲-3396","layer":1},{"info":"⫶⩼⫲1E59⋥≓≎⫶⩼⫲-3396=⫶⩼⫲-8673","layer":0}]}
{"id":308,"expression_no_base_symbol":"(⇁⨣⪵$2275$)-($1988$⋷$2394$)","expression":"(⇁⨣⪵⫶⩼⫲A1A)-(⫶⩼⫲8C8⋷⫶⩼⫲A99)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5,"operation_count":3,"complexity_ratio":1.6666666666666667,"tree":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":2275,"base":15}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1988,"base":15},"right_expr":{"type":"numeric_atoms","value":2394,"base":15}}},"used_operators":["rysDP5nf3Z","inkyxCbjAn","23Mk6UjR3U"],"dependent_operators":["B5M0gjZbta","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=2275","layer":2},{"info":"compute unary expreesion, input=2275, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":1},{"info":"number node, value=1988","layer":2},{"info":"number node, value=2394","layer":2},{"info":"compute binary expreesion, left_input=1988, right_input=2394, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=2800","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2800, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":15,"result_base":15,"text":"(⇁⨣⪵⫶⩼⫲A1A)-(⫶⩼⫲8C8⋷⫶⩼⫲A99)=NaN","reverse_text":"NaN=(⇁⨣⪵⫶⩼⫲A1A)-(⫶⩼⫲8C8⋷⫶⩼⫲A99)","cot":[{"info":"⇁⨣⪵⫶⩼⫲A1A=NaN","layer":1},{"info":"⫶⩼⫲8C8⋷⫶⩼⫲A99=⫶⩼⫲C6A","layer":1},{"info":"NaN-⫶⩼⫲C6A=NaN","layer":0}]}
{"id":309,"expression_no_base_symbol":"$3037$∼$9200$+(≦∁$2754$)","expression":"⫶⩼⫲D77∼⫶⩼⫲2AD5+(≦∁⫶⩼⫲C39)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":63,"operation_count":3,"complexity_ratio":21.0,"tree":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":3037,"base":15},"right_expr":{"type":"numeric_atoms","value":9200,"base":15}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":2754,"base":15}}},"used_operators":["W4YGzv6Whe","DyGG3AbaNP","9ICcGScMcE"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=3037","layer":2},{"info":"number node, value=9200","layer":2},{"info":"compute binary expreesion, left_input=3037, right_input=9200, 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=2754","layer":2},{"info":"compute unary expreesion, input=2754, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=2754","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2754, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲D77∼⫶⩼⫲2AD5+(≦∁⫶⩼⫲C39)=NaN","reverse_text":"NaN=⫶⩼⫲D77∼⫶⩼⫲2AD5+(≦∁⫶⩼⫲C39)","cot":[{"info":"⫶⩼⫲D77∼⫶⩼⫲2AD5=NaN","layer":1},{"info":"≦∁⫶⩼⫲C39=⫶⩼⫲C39","layer":1},{"info":"NaN+⫶⩼⫲C39=NaN","layer":0}]}
{"id":310,"expression_no_base_symbol":"($6434$%$3134$)⊦⊿","expression":"(⫶⩼⫲1D8E%⫶⩼⫲DDE)⊦⊿","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":8,"operation_count":2,"complexity_ratio":4.0,"tree":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":6434,"base":15},"right_expr":{"type":"numeric_atoms","value":3134,"base":15}}},"used_operators":["14qkJME0vr","k8jYdgA6NY"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z"],"result":"⫶⩼⫲-287","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=6434","layer":2},{"info":"number node, value=3134","layer":2},{"info":"compute binary expreesion, left_input=6434, right_input=3134, op_id = k8jYdgA6NY binary_op_definition= 'None', output=166","layer":1},{"info":"compute unary expreesion, input=166, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-577","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲1D8E%⫶⩼⫲DDE)⊦⊿=⫶⩼⫲-287","reverse_text":"⫶⩼⫲-287=(⫶⩼⫲1D8E%⫶⩼⫲DDE)⊦⊿","cot":[{"info":"⫶⩼⫲1D8E%⫶⩼⫲DDE=⫶⩼⫲B1","layer":1},{"info":"⫶⩼⫲B1⊦⊿=⫶⩼⫲-287","layer":0}]}
{"id":311,"expression_no_base_symbol":"($3222$⪨≂$1561$)-$2206$⊴$4591$","expression":"(⫶⩼⫲E4C⪨≂⫶⩼⫲6E1)-⫶⩼⫲9C1⊴⫶⩼⫲1561","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4603,"operation_count":3,"complexity_ratio":1534.3333333333333,"tree":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":3222,"base":15},"right_expr":{"type":"numeric_atoms","value":1561,"base":15}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2206,"base":15},"right_expr":{"type":"numeric_atoms","value":4591,"base":15}}},"used_operators":["rysDP5nf3Z","sdazOOVcIp","Nsiff2A1zJ"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=3222","layer":2},{"info":"number node, value=1561","layer":2},{"info":"compute binary expreesion, left_input=3222, right_input=1561, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=3424","layer":1},{"info":"number node, value=2206","layer":2},{"info":"number node, value=4591","layer":2},{"info":"compute binary expreesion, left_input=2206, right_input=4591, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=3424, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲E4C⪨≂⫶⩼⫲6E1)-⫶⩼⫲9C1⊴⫶⩼⫲1561=NaN","reverse_text":"NaN=(⫶⩼⫲E4C⪨≂⫶⩼⫲6E1)-⫶⩼⫲9C1⊴⫶⩼⫲1561","cot":[{"info":"⫶⩼⫲E4C⪨≂⫶⩼⫲6E1=⫶⩼⫲1034","layer":1},{"info":"⫶⩼⫲9C1⊴⫶⩼⫲1561=NaN","layer":1},{"info":"⫶⩼⫲1034-NaN=NaN","layer":0}]}
{"id":312,"expression_no_base_symbol":"↯⪼($3750$≎⊠⪸$1434$)","expression":"↯⪼(⫶⩼⫲11A0≎⊠⪸⫶⩼⫲659)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":301,"operation_count":2,"complexity_ratio":150.5,"tree":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":3750,"base":15},"right_expr":{"type":"numeric_atoms","value":1434,"base":15}}},"used_operators":["8jW3W4yZS5","bJkvcejdHO"],"dependent_operators":["eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"⫶⩼⫲-16","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=3750","layer":2},{"info":"number node, value=1434","layer":2},{"info":"compute binary expreesion, left_input=3750, right_input=1434, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=970777","layer":1},{"info":"compute unary expreesion, input=970777, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":0}],"base":15,"result_base":15,"text":"↯⪼(⫶⩼⫲11A0≎⊠⪸⫶⩼⫲659)=⫶⩼⫲-16","reverse_text":"⫶⩼⫲-16=↯⪼(⫶⩼⫲11A0≎⊠⪸⫶⩼⫲659)","cot":[{"info":"⫶⩼⫲11A0≎⊠⪸⫶⩼⫲659=⫶⩼⫲142987","layer":1},{"info":"↯⪼⫶⩼⫲142987=⫶⩼⫲-16","layer":0}]}
{"id":313,"expression_no_base_symbol":"(↥$1222$)/$6932$∼$1969$","expression":"(↥⫶⩼⫲567)/⫶⩼⫲20C2∼⫶⩼⫲8B4","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":161,"operation_count":3,"complexity_ratio":53.666666666666664,"tree":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":1222,"base":15}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":6932,"base":15},"right_expr":{"type":"numeric_atoms","value":1969,"base":15}}},"used_operators":["XhwjNDsVaA","A8NUZmVepG","DyGG3AbaNP"],"dependent_operators":["rysDP5nf3Z","k8jYdgA6NY","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1222","layer":2},{"info":"compute unary expreesion, input=1222, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=49","layer":1},{"info":"number node, value=6932","layer":2},{"info":"number node, value=1969","layer":2},{"info":"compute binary expreesion, left_input=6932, right_input=1969, 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=49, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":0}],"base":15,"result_base":15,"text":"(↥⫶⩼⫲567)/⫶⩼⫲20C2∼⫶⩼⫲8B4=NaN","reverse_text":"NaN=(↥⫶⩼⫲567)/⫶⩼⫲20C2∼⫶⩼⫲8B4","cot":[{"info":"↥⫶⩼⫲567=⫶⩼⫲34","layer":1},{"info":"⫶⩼⫲20C2∼⫶⩼⫲8B4=NaN","layer":1},{"info":"⫶⩼⫲34/NaN=NaN","layer":0}]}
{"id":314,"expression_no_base_symbol":"($4463$≦≮≮)*(+⊝⨔$1278$)","expression":"(⫶⩼⫲14C8≦≮≮)*(+⊝⨔⫶⩼⫲5A3)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1565,"operation_count":3,"complexity_ratio":521.6666666666666,"tree":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":4463,"base":15}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":1278,"base":15}}},"used_operators":["9HNa5Wba9A","D4vGDi5EA2","DhbWaqg5eL"],"dependent_operators":["W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"⫶⩼⫲-1BC7E23","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=4463","layer":2},{"info":"compute unary expreesion, input=4463, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-13389","layer":1},{"info":"number node, value=1278","layer":2},{"info":"compute unary expreesion, input=1278, op_id = 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=-13389, right_input=1522, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-20378058","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲14C8≦≮≮)*(+⊝⨔⫶⩼⫲5A3)=⫶⩼⫲-1BC7E23","reverse_text":"⫶⩼⫲-1BC7E23=(⫶⩼⫲14C8≦≮≮)*(+⊝⨔⫶⩼⫲5A3)","cot":[{"info":"⫶⩼⫲14C8≦≮≮=⫶⩼⫲-3E79","layer":1},{"info":"+⊝⨔⫶⩼⫲5A3=⫶⩼⫲6B7","layer":1},{"info":"⫶⩼⫲-3E79*⫶⩼⫲6B7=⫶⩼⫲-1BC7E23","layer":0}]}
{"id":315,"expression_no_base_symbol":"⪲⇎(⩦⩻⨪$1125$)","expression":"⪲⇎(⩦⩻⨪⫶⩼⫲500)","highest_n_order":1,"priority_hierarchical_complexity":1,"normalized_expansion_degree":5,"operation_count":2,"complexity_ratio":2.5,"tree":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":1125,"base":15}}},"used_operators":["XPYlsWDdGa","2td37pGCOC"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⫶⩼⫲A00","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1125","layer":2},{"info":"compute unary expreesion, input=1125, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1125","layer":1},{"info":"compute unary expreesion, input=1125, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=2250","layer":0}],"base":15,"result_base":15,"text":"⪲⇎(⩦⩻⨪⫶⩼⫲500)=⫶⩼⫲A00","reverse_text":"⫶⩼⫲A00=⪲⇎(⩦⩻⨪⫶⩼⫲500)","cot":[{"info":"⩦⩻⨪⫶⩼⫲500=⫶⩼⫲500","layer":1},{"info":"⪲⇎⫶⩼⫲500=⫶⩼⫲A00","layer":0}]}
{"id":316,"expression_no_base_symbol":"⋗⩬⋾$2119$⨐⩸⫘$1490$","expression":"⋗⩬⋾⫶⩼⫲964⨐⩸⫘⫶⩼⫲695","highest_n_order":4,"priority_hierarchical_complexity":1,"normalized_expansion_degree":4,"operation_count":2,"complexity_ratio":2.0,"tree":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2119,"base":15},"right_expr":{"type":"numeric_atoms","value":1490,"base":15}}},"used_operators":["DpFCA1CohY","fu6greOZ01"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=2119","layer":2},{"info":"number node, value=1490","layer":2},{"info":"compute binary expreesion, left_input=2119, right_input=1490, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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":15,"result_base":15,"text":"⋗⩬⋾⫶⩼⫲964⨐⩸⫘⫶⩼⫲695=NaN","reverse_text":"NaN=⋗⩬⋾⫶⩼⫲964⨐⩸⫘⫶⩼⫲695","cot":[{"info":"⫶⩼⫲964⨐⩸⫘⫶⩼⫲695=NaN","layer":1},{"info":"⋗⩬⋾NaN=NaN","layer":0}]}
{"id":317,"expression_no_base_symbol":"(⨞⊢$2353$)⨰($2586$⩚⊴⇥$1053$)","expression":"(⨞⊢⫶⩼⫲A6D)⨰(⫶⩼⫲B76⩚⊴⇥⫶⩼⫲4A3)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":11,"operation_count":3,"complexity_ratio":3.6666666666666665,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":2353,"base":15}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2586,"base":15},"right_expr":{"type":"numeric_atoms","value":1053,"base":15}}},"used_operators":["eewbuw0ToL","xUOZtlo3hN","NTOWxs364D"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"⫶⩼⫲57D","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2353","layer":2},{"info":"compute unary expreesion, input=2353, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-2527","layer":1},{"info":"number node, value=2586","layer":2},{"info":"number node, value=1053","layer":2},{"info":"compute binary expreesion, left_input=2586, right_input=1053, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3760","layer":1},{"info":"compute binary expreesion, left_input=-2527, right_input=-3760, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1243","layer":0}],"base":15,"result_base":15,"text":"(⨞⊢⫶⩼⫲A6D)⨰(⫶⩼⫲B76⩚⊴⇥⫶⩼⫲4A3)=⫶⩼⫲57D","reverse_text":"⫶⩼⫲57D=(⨞⊢⫶⩼⫲A6D)⨰(⫶⩼⫲B76⩚⊴⇥⫶⩼⫲4A3)","cot":[{"info":"⨞⊢⫶⩼⫲A6D=⫶⩼⫲-B37","layer":1},{"info":"⫶⩼⫲B76⩚⊴⇥⫶⩼⫲4A3=⫶⩼⫲-11AA","layer":1},{"info":"⫶⩼⫲-B37⨰⫶⩼⫲-11AA=⫶⩼⫲57D","layer":0}]}
{"id":318,"expression_no_base_symbol":"($2385$%$1003$)↙$3988$⨰$2736$","expression":"(⫶⩼⫲A90%⫶⩼⫲46D)↙⫶⩼⫲12AD⨰⫶⩼⫲C26","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1273,"operation_count":3,"complexity_ratio":424.3333333333333,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2385,"base":15},"right_expr":{"type":"numeric_atoms","value":1003,"base":15}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":3988,"base":15},"right_expr":{"type":"numeric_atoms","value":2736,"base":15}}},"used_operators":["yyfyN0ffXY","k8jYdgA6NY","eewbuw0ToL"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫶⩼⫲-11C6","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2385","layer":2},{"info":"number node, value=1003","layer":2},{"info":"compute binary expreesion, left_input=2385, right_input=1003, op_id = k8jYdgA6NY binary_op_definition= 'None', output=379","layer":1},{"info":"number node, value=3988","layer":2},{"info":"number node, value=2736","layer":2},{"info":"compute binary expreesion, left_input=3988, right_input=2736, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1262","layer":1},{"info":"compute binary expreesion, left_input=379, right_input=1262, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3786","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲A90%⫶⩼⫲46D)↙⫶⩼⫲12AD⨰⫶⩼⫲C26=⫶⩼⫲-11C6","reverse_text":"⫶⩼⫲-11C6=(⫶⩼⫲A90%⫶⩼⫲46D)↙⫶⩼⫲12AD⨰⫶⩼⫲C26","cot":[{"info":"⫶⩼⫲A90%⫶⩼⫲46D=⫶⩼⫲1A4","layer":1},{"info":"⫶⩼⫲12AD⨰⫶⩼⫲C26=⫶⩼⫲592","layer":1},{"info":"⫶⩼⫲1A4↙⫶⩼⫲592=⫶⩼⫲-11C6","layer":0}]}
{"id":319,"expression_no_base_symbol":"(⩦⩻⨪$4788$)⨓($4561$≎⊠⪸$2497$)","expression":"(⩦⩻⨪⫶⩼⫲1643)⨓(⫶⩼⫲1541≎⊠⪸⫶⩼⫲B17)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":280,"operation_count":3,"complexity_ratio":93.33333333333333,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":4788,"base":15}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":4561,"base":15},"right_expr":{"type":"numeric_atoms","value":2497,"base":15}}},"used_operators":["3ViojmjbAp","2td37pGCOC","bJkvcejdHO"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=4788","layer":2},{"info":"compute unary expreesion, input=4788, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=4788","layer":1},{"info":"number node, value=4561","layer":2},{"info":"number node, value=2497","layer":2},{"info":"compute binary expreesion, left_input=4561, right_input=2497, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1180826","layer":1},{"info":"compute binary expreesion, left_input=4788, right_input=1180826, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"(⩦⩻⨪⫶⩼⫲1643)⨓(⫶⩼⫲1541≎⊠⪸⫶⩼⫲B17)=NaN","reverse_text":"NaN=(⩦⩻⨪⫶⩼⫲1643)⨓(⫶⩼⫲1541≎⊠⪸⫶⩼⫲B17)","cot":[{"info":"⩦⩻⨪⫶⩼⫲1643=⫶⩼⫲1643","layer":1},{"info":"⫶⩼⫲1541≎⊠⪸⫶⩼⫲B17=⫶⩼⫲184D1B","layer":1},{"info":"⫶⩼⫲1643⨓⫶⩼⫲184D1B=NaN","layer":0}]}
{"id":320,"expression_no_base_symbol":"(⨰⫟⨤$3520$)⊴($1172$⋳⪒$1293$)","expression":"(⨰⫟⨤⫶⩼⫲109A)⊴(⫶⩼⫲532⋳⪒⫶⩼⫲5B3)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":14017,"operation_count":3,"complexity_ratio":4672.333333333333,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":3520,"base":15}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1172,"base":15},"right_expr":{"type":"numeric_atoms","value":1293,"base":15}}},"used_operators":["Nsiff2A1zJ","Tw270M8GLb","12rbrZMWeM"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=3520","layer":2},{"info":"compute unary expreesion, input=3520, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":1},{"info":"number node, value=1172","layer":2},{"info":"number node, value=1293","layer":2},{"info":"compute binary expreesion, left_input=1172, right_input=1293, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=764","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=764, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"(⨰⫟⨤⫶⩼⫲109A)⊴(⫶⩼⫲532⋳⪒⫶⩼⫲5B3)=NaN","reverse_text":"NaN=(⨰⫟⨤⫶⩼⫲109A)⊴(⫶⩼⫲532⋳⪒⫶⩼⫲5B3)","cot":[{"info":"⨰⫟⨤⫶⩼⫲109A=NaN","layer":1},{"info":"⫶⩼⫲532⋳⪒⫶⩼⫲5B3=⫶⩼⫲35E","layer":1},{"info":"NaN⊴⫶⩼⫲35E=NaN","layer":0}]}
{"id":321,"expression_no_base_symbol":"(↯⪼$2190$)⊴($4209$⩨$3557$)","expression":"(↯⪼⫶⩼⫲9B0)⊴(⫶⩼⫲13A9⩨⫶⩼⫲10C2)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":42,"operation_count":3,"complexity_ratio":14.0,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":2190,"base":15}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":4209,"base":15},"right_expr":{"type":"numeric_atoms","value":3557,"base":15}}},"used_operators":["Nsiff2A1zJ","8jW3W4yZS5","2DlMacCsIx"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"⫶⩼⫲-54","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=2190","layer":2},{"info":"compute unary expreesion, input=2190, 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=4209","layer":2},{"info":"number node, value=3557","layer":2},{"info":"compute binary expreesion, left_input=4209, right_input=3557, 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=-21, right_input=0, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=-79","layer":0}],"base":15,"result_base":15,"text":"(↯⪼⫶⩼⫲9B0)⊴(⫶⩼⫲13A9⩨⫶⩼⫲10C2)=⫶⩼⫲-54","reverse_text":"⫶⩼⫲-54=(↯⪼⫶⩼⫲9B0)⊴(⫶⩼⫲13A9⩨⫶⩼⫲10C2)","cot":[{"info":"↯⪼⫶⩼⫲9B0=⫶⩼⫲-16","layer":1},{"info":"⫶⩼⫲13A9⩨⫶⩼⫲10C2=⫶⩼⫲0","layer":1},{"info":"⫶⩼⫲-16⊴⫶⩼⫲0=⫶⩼⫲-54","layer":0}]}
{"id":322,"expression_no_base_symbol":"(≉$4020$)⋫","expression":"(≉⫶⩼⫲12D0)⋫","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4553,"operation_count":2,"complexity_ratio":2276.5,"tree":{"type":"unary","operator":"⋫","unary_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":4020,"base":15}}},"used_operators":["JL8yIekQnl","e1ybzncUwg"],"dependent_operators":["tmPS8pqC7x","W4YGzv6Whe","t8gj7n24qd"],"result":"⫶⩼⫲1536","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=4020","layer":2},{"info":"compute unary expreesion, input=4020, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=4551","layer":1},{"info":"compute unary expreesion, input=4551, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=4551","layer":0}],"base":15,"result_base":15,"text":"(≉⫶⩼⫲12D0)⋫=⫶⩼⫲1536","reverse_text":"⫶⩼⫲1536=(≉⫶⩼⫲12D0)⋫","cot":[{"info":"≉⫶⩼⫲12D0=⫶⩼⫲1536","layer":1},{"info":"⫶⩼⫲1536⋫=⫶⩼⫲1536","layer":0}]}
{"id":323,"expression_no_base_symbol":"$1045$⋓$2650$≭($6557$⫸⊐$3588$)","expression":"⫶⩼⫲49A⋓⫶⩼⫲BBA≭(⫶⩼⫲1E22⫸⊐⫶⩼⫲10E3)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":38,"operation_count":3,"complexity_ratio":12.666666666666666,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1045,"base":15},"right_expr":{"type":"numeric_atoms","value":2650,"base":15}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":6557,"base":15},"right_expr":{"type":"numeric_atoms","value":3588,"base":15}}},"used_operators":["rxpJgHHUmx","T2fj7uvVaJ","mqXw5SEYmG"],"dependent_operators":["AHs5Up7iyr","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1045","layer":2},{"info":"number node, value=2650","layer":2},{"info":"compute binary expreesion, left_input=1045, right_input=2650, op_id = T2fj7uvVaJ binary_op_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=6557","layer":2},{"info":"number node, value=3588","layer":2},{"info":"compute binary expreesion, left_input=6557, right_input=3588, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=14227","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=14227, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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":15,"result_base":15,"text":"⫶⩼⫲49A⋓⫶⩼⫲BBA≭(⫶⩼⫲1E22⫸⊐⫶⩼⫲10E3)=NaN","reverse_text":"NaN=⫶⩼⫲49A⋓⫶⩼⫲BBA≭(⫶⩼⫲1E22⫸⊐⫶⩼⫲10E3)","cot":[{"info":"⫶⩼⫲49A⋓⫶⩼⫲BBA=⫶⩼⫲0","layer":1},{"info":"⫶⩼⫲1E22⫸⊐⫶⩼⫲10E3=⫶⩼⫲4337","layer":1},{"info":"⫶⩼⫲0≭⫶⩼⫲4337=NaN","layer":0}]}
{"id":324,"expression_no_base_symbol":"(⩦⩻⨪$3895$)∲⫓$4238$⊴$2837$","expression":"(⩦⩻⨪⫶⩼⫲124A)∲⫓⫶⩼⫲13C8⊴⫶⩼⫲C92","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6499,"operation_count":3,"complexity_ratio":2166.3333333333335,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":3895,"base":15}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":4238,"base":15},"right_expr":{"type":"numeric_atoms","value":2837,"base":15}}},"used_operators":["i8ToyICDmI","2td37pGCOC","Nsiff2A1zJ"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=3895","layer":2},{"info":"compute unary expreesion, input=3895, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=3895","layer":1},{"info":"number node, value=4238","layer":2},{"info":"number node, value=2837","layer":2},{"info":"compute binary expreesion, left_input=4238, right_input=2837, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=3895, right_input=nan, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":0}],"base":15,"result_base":15,"text":"(⩦⩻⨪⫶⩼⫲124A)∲⫓⫶⩼⫲13C8⊴⫶⩼⫲C92=NaN","reverse_text":"NaN=(⩦⩻⨪⫶⩼⫲124A)∲⫓⫶⩼⫲13C8⊴⫶⩼⫲C92","cot":[{"info":"⩦⩻⨪⫶⩼⫲124A=⫶⩼⫲124A","layer":1},{"info":"⫶⩼⫲13C8⊴⫶⩼⫲C92=NaN","layer":1},{"info":"⫶⩼⫲124A∲⫓NaN=NaN","layer":0}]}
{"id":325,"expression_no_base_symbol":"($1394$⊭∹↮)↺$1201$∀⇚≩$7217$","expression":"(⫶⩼⫲62E⊭∹↮)↺⫶⩼⫲551∀⇚≩⫶⩼⫲2212","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":8415,"operation_count":3,"complexity_ratio":2805.0,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":1394,"base":15}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1201,"base":15},"right_expr":{"type":"numeric_atoms","value":7217,"base":15}}},"used_operators":["7j4O788W3g","xNBdhnnwKq","LRNGc0VcxI"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1394","layer":2},{"info":"compute unary expreesion, input=1394, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=2788","layer":1},{"info":"number node, value=1201","layer":2},{"info":"number node, value=7217","layer":2},{"info":"compute binary expreesion, left_input=1201, right_input=7217, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=2788, 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":15,"result_base":15,"text":"(⫶⩼⫲62E⊭∹↮)↺⫶⩼⫲551∀⇚≩⫶⩼⫲2212=NaN","reverse_text":"NaN=(⫶⩼⫲62E⊭∹↮)↺⫶⩼⫲551∀⇚≩⫶⩼⫲2212","cot":[{"info":"⫶⩼⫲62E⊭∹↮=⫶⩼⫲C5D","layer":1},{"info":"⫶⩼⫲551∀⇚≩⫶⩼⫲2212=NaN","layer":1},{"info":"⫶⩼⫲C5D↺NaN=NaN","layer":0}]}
{"id":326,"expression_no_base_symbol":"(⫓⪴$2130$)⇷(⪝⪂⫅$7389$)","expression":"(⫓⪴⫶⩼⫲970)⇷(⪝⪂⫅⫶⩼⫲22C9)","highest_n_order":3,"priority_hierarchical_complexity":1,"normalized_expansion_degree":2289,"operation_count":3,"complexity_ratio":763.0,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":2130,"base":15}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":7389,"base":15}}},"used_operators":["mp7IySMOzn","eLxqMNBOBk","XTarYq4gQB"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","9HNa5Wba9A","9HNa5Wba9A","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2130","layer":2},{"info":"compute unary expreesion, input=2130, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=4536900","layer":1},{"info":"number node, value=7389","layer":2},{"info":"compute unary expreesion, input=7389, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-1086183","layer":1},{"info":"compute binary expreesion, left_input=4536900, right_input=-1086183, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"(⫓⪴⫶⩼⫲970)⇷(⪝⪂⫅⫶⩼⫲22C9)=NaN","reverse_text":"NaN=(⫓⪴⫶⩼⫲970)⇷(⪝⪂⫅⫶⩼⫲22C9)","cot":[{"info":"⫓⪴⫶⩼⫲970=⫶⩼⫲5E9400","layer":1},{"info":"⪝⪂⫅⫶⩼⫲22C9=⫶⩼⫲-166C73","layer":1},{"info":"⫶⩼⫲5E9400⇷⫶⩼⫲-166C73=NaN","layer":0}]}
{"id":327,"expression_no_base_symbol":"(≤/$1176$)/$1196$∀⇚≩$1435$","expression":"(≤/⫶⩼⫲536)/⫶⩼⫲54B∀⇚≩⫶⩼⫲65A","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":8374,"operation_count":3,"complexity_ratio":2791.3333333333335,"tree":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1176,"base":15}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1196,"base":15},"right_expr":{"type":"numeric_atoms","value":1435,"base":15}}},"used_operators":["XhwjNDsVaA","eLAdDNolq6","LRNGc0VcxI"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1176","layer":2},{"info":"compute unary expreesion, input=1176, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-692","layer":1},{"info":"number node, value=1196","layer":2},{"info":"number node, value=1435","layer":2},{"info":"compute binary expreesion, left_input=1196, right_input=1435, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=-692, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":0}],"base":15,"result_base":15,"text":"(≤/⫶⩼⫲536)/⫶⩼⫲54B∀⇚≩⫶⩼⫲65A=NaN","reverse_text":"NaN=(≤/⫶⩼⫲536)/⫶⩼⫲54B∀⇚≩⫶⩼⫲65A","cot":[{"info":"≤/⫶⩼⫲536=⫶⩼⫲-312","layer":1},{"info":"⫶⩼⫲54B∀⇚≩⫶⩼⫲65A=NaN","layer":1},{"info":"⫶⩼⫲-312/NaN=NaN","layer":0}]}
{"id":328,"expression_no_base_symbol":"(⊙↵-$4862$)⪒$2647$⋓$5670$","expression":"(⊙↵-⫶⩼⫲1692)⪒⫶⩼⫲BB7⋓⫶⩼⫲1A30","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4924,"operation_count":3,"complexity_ratio":1641.3333333333333,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":4862,"base":15}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2647,"base":15},"right_expr":{"type":"numeric_atoms","value":5670,"base":15}}},"used_operators":["f6k1SAg4EE","oWn0xqSxBt","T2fj7uvVaJ"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"⫶⩼⫲1","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=4862","layer":2},{"info":"compute unary expreesion, input=4862, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":1},{"info":"number node, value=2647","layer":2},{"info":"number node, value=5670","layer":2},{"info":"compute binary expreesion, left_input=2647, right_input=5670, op_id = T2fj7uvVaJ binary_op_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=-1, right_input=0, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=1","layer":0}],"base":15,"result_base":15,"text":"(⊙↵-⫶⩼⫲1692)⪒⫶⩼⫲BB7⋓⫶⩼⫲1A30=⫶⩼⫲1","reverse_text":"⫶⩼⫲1=(⊙↵-⫶⩼⫲1692)⪒⫶⩼⫲BB7⋓⫶⩼⫲1A30","cot":[{"info":"⊙↵-⫶⩼⫲1692=⫶⩼⫲-1","layer":1},{"info":"⫶⩼⫲BB7⋓⫶⩼⫲1A30=⫶⩼⫲0","layer":1},{"info":"⫶⩼⫲-1⪒⫶⩼⫲0=⫶⩼⫲1","layer":0}]}
{"id":329,"expression_no_base_symbol":"$3467$⪢$3702$⪘⫢($3128$⨸⪁$5838$)","expression":"⫶⩼⫲1062⪢⫶⩼⫲116C⪘⫢(⫶⩼⫲DD8⨸⪁⫶⩼⫲1AE3)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3714,"operation_count":3,"complexity_ratio":1238.0,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":3467,"base":15},"right_expr":{"type":"numeric_atoms","value":3702,"base":15}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":3128,"base":15},"right_expr":{"type":"numeric_atoms","value":5838,"base":15}}},"used_operators":["oacrs7FA3X","dWAJyo7jo9","g55IO6H4Gj"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","k8jYdgA6NY","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=3467","layer":2},{"info":"number node, value=3702","layer":2},{"info":"compute binary expreesion, left_input=3467, right_input=3702, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=3128","layer":2},{"info":"number node, value=5838","layer":2},{"info":"compute binary expreesion, left_input=3128, right_input=5838, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=17932","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=17932, 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":15,"result_base":15,"text":"⫶⩼⫲1062⪢⫶⩼⫲116C⪘⫢(⫶⩼⫲DD8⨸⪁⫶⩼⫲1AE3)=NaN","reverse_text":"NaN=⫶⩼⫲1062⪢⫶⩼⫲116C⪘⫢(⫶⩼⫲DD8⨸⪁⫶⩼⫲1AE3)","cot":[{"info":"⫶⩼⫲1062⪢⫶⩼⫲116C=NaN","layer":1},{"info":"⫶⩼⫲DD8⨸⪁⫶⩼⫲1AE3=⫶⩼⫲54A7","layer":1},{"info":"NaN⪘⫢⫶⩼⫲54A7=NaN","layer":0}]}
{"id":330,"expression_no_base_symbol":"$3191$⊴$1017$⩷∴$1400$∀⇚≩$6469$","expression":"⫶⩼⫲E2B⊴⫶⩼⫲47C⩷∴⫶⩼⫲635∀⇚≩⫶⩼⫲1DB4","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":15181,"operation_count":3,"complexity_ratio":5060.333333333333,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":3191,"base":15},"right_expr":{"type":"numeric_atoms","value":1017,"base":15}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1400,"base":15},"right_expr":{"type":"numeric_atoms","value":6469,"base":15}}},"used_operators":["9FxExcQeMw","Nsiff2A1zJ","LRNGc0VcxI"],"dependent_operators":["rysDP5nf3Z","dWAJyo7jo9","14qkJME0vr","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=3191","layer":2},{"info":"number node, value=1017","layer":2},{"info":"compute binary expreesion, left_input=3191, right_input=1017, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=1400","layer":2},{"info":"number node, value=6469","layer":2},{"info":"compute binary expreesion, left_input=1400, right_input=6469, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲E2B⊴⫶⩼⫲47C⩷∴⫶⩼⫲635∀⇚≩⫶⩼⫲1DB4=NaN","reverse_text":"NaN=⫶⩼⫲E2B⊴⫶⩼⫲47C⩷∴⫶⩼⫲635∀⇚≩⫶⩼⫲1DB4","cot":[{"info":"⫶⩼⫲E2B⊴⫶⩼⫲47C=NaN","layer":1},{"info":"⫶⩼⫲635∀⇚≩⫶⩼⫲1DB4=NaN","layer":1},{"info":"NaN⩷∴NaN=NaN","layer":0}]}
{"id":331,"expression_no_base_symbol":"($4936$⋥≓≎$2017$)⨓($1546$⩨$1751$)","expression":"(⫶⩼⫲16E1⋥≓≎⫶⩼⫲8E7)⨓(⫶⩼⫲6D1⩨⫶⩼⫲7BB)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":17,"operation_count":3,"complexity_ratio":5.666666666666667,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":4936,"base":15},"right_expr":{"type":"numeric_atoms","value":2017,"base":15}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1546,"base":15},"right_expr":{"type":"numeric_atoms","value":1751,"base":15}}},"used_operators":["3ViojmjbAp","Qy55tPpLXF","2DlMacCsIx"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"⫶⩼⫲-6","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=4936","layer":2},{"info":"number node, value=2017","layer":2},{"info":"compute binary expreesion, left_input=4936, right_input=2017, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-869","layer":1},{"info":"number node, value=1546","layer":2},{"info":"number node, value=1751","layer":2},{"info":"compute binary expreesion, left_input=1546, right_input=1751, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":1},{"info":"compute binary expreesion, left_input=-869, right_input=-3, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-6","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲16E1⋥≓≎⫶⩼⫲8E7)⨓(⫶⩼⫲6D1⩨⫶⩼⫲7BB)=⫶⩼⫲-6","reverse_text":"⫶⩼⫲-6=(⫶⩼⫲16E1⋥≓≎⫶⩼⫲8E7)⨓(⫶⩼⫲6D1⩨⫶⩼⫲7BB)","cot":[{"info":"⫶⩼⫲16E1⋥≓≎⫶⩼⫲8E7=⫶⩼⫲-3CE","layer":1},{"info":"⫶⩼⫲6D1⩨⫶⩼⫲7BB=⫶⩼⫲-3","layer":1},{"info":"⫶⩼⫲-3CE⨓⫶⩼⫲-3=⫶⩼⫲-6","layer":0}]}
{"id":332,"expression_no_base_symbol":"($3662$-$5103$)⊉≛↸($4688$∲⫓$7364$)","expression":"(⫶⩼⫲1142-⫶⩼⫲17A3)⊉≛↸(⫶⩼⫲15C8∲⫓⫶⩼⫲22AE)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":7,"operation_count":3,"complexity_ratio":2.3333333333333335,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":3662,"base":15},"right_expr":{"type":"numeric_atoms","value":5103,"base":15}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":4688,"base":15},"right_expr":{"type":"numeric_atoms","value":7364,"base":15}}},"used_operators":["DZ8iAZOCBD","rysDP5nf3Z","i8ToyICDmI"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⫶⩼⫲0","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=3662","layer":2},{"info":"number node, value=5103","layer":2},{"info":"compute binary expreesion, left_input=3662, right_input=5103, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-1441","layer":1},{"info":"number node, value=4688","layer":2},{"info":"number node, value=7364","layer":2},{"info":"compute binary expreesion, left_input=4688, right_input=7364, 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=-1441, right_input=0, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=0","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲1142-⫶⩼⫲17A3)⊉≛↸(⫶⩼⫲15C8∲⫓⫶⩼⫲22AE)=⫶⩼⫲0","reverse_text":"⫶⩼⫲0=(⫶⩼⫲1142-⫶⩼⫲17A3)⊉≛↸(⫶⩼⫲15C8∲⫓⫶⩼⫲22AE)","cot":[{"info":"⫶⩼⫲1142-⫶⩼⫲17A3=⫶⩼⫲-661","layer":1},{"info":"⫶⩼⫲15C8∲⫓⫶⩼⫲22AE=⫶⩼⫲0","layer":1},{"info":"⫶⩼⫲-661⊉≛↸⫶⩼⫲0=⫶⩼⫲0","layer":0}]}
{"id":333,"expression_no_base_symbol":"⊙↵-($1463$⫌⩹⨱)","expression":"⊙↵-(⫶⩼⫲678⫌⩹⨱)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4380,"operation_count":2,"complexity_ratio":2190.0,"tree":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":1463,"base":15}}},"used_operators":["oWn0xqSxBt","EBcxylXtPf"],"dependent_operators":["dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","rysDP5nf3Z"],"result":"⫶⩼⫲-1","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1463","layer":2},{"info":"compute unary expreesion, input=1463, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=4327","layer":1},{"info":"compute unary expreesion, input=4327, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":0}],"base":15,"result_base":15,"text":"⊙↵-(⫶⩼⫲678⫌⩹⨱)=⫶⩼⫲-1","reverse_text":"⫶⩼⫲-1=⊙↵-(⫶⩼⫲678⫌⩹⨱)","cot":[{"info":"⫶⩼⫲678⫌⩹⨱=⫶⩼⫲1437","layer":1},{"info":"⊙↵-⫶⩼⫲1437=⫶⩼⫲-1","layer":0}]}
{"id":334,"expression_no_base_symbol":"$5468$⋳⪒$7931$-(⫛⫱⨽$2300$)","expression":"⫶⩼⫲1948⋳⪒⫶⩼⫲253B-(⫛⫱⨽⫶⩼⫲A35)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1430,"operation_count":3,"complexity_ratio":476.6666666666667,"tree":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":5468,"base":15},"right_expr":{"type":"numeric_atoms","value":7931,"base":15}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":2300,"base":15}}},"used_operators":["rysDP5nf3Z","12rbrZMWeM","DlLNRPXxWL"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC"],"result":"⫶⩼⫲C13","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=5468","layer":2},{"info":"number node, value=7931","layer":2},{"info":"compute binary expreesion, left_input=5468, right_input=7931, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=2718","layer":1},{"info":"number node, value=2300","layer":2},{"info":"compute unary expreesion, input=2300, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=2718, right_input=0, op_id = rysDP5nf3Z binary_op_definition= 'None', output=2718","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲1948⋳⪒⫶⩼⫲253B-(⫛⫱⨽⫶⩼⫲A35)=⫶⩼⫲C13","reverse_text":"⫶⩼⫲C13=⫶⩼⫲1948⋳⪒⫶⩼⫲253B-(⫛⫱⨽⫶⩼⫲A35)","cot":[{"info":"⫶⩼⫲1948⋳⪒⫶⩼⫲253B=⫶⩼⫲C13","layer":1},{"info":"⫛⫱⨽⫶⩼⫲A35=⫶⩼⫲0","layer":1},{"info":"⫶⩼⫲C13-⫶⩼⫲0=⫶⩼⫲C13","layer":0}]}
{"id":335,"expression_no_base_symbol":"(↽≂$1405$)⪄($3486$∧)","expression":"(↽≂⫶⩼⫲63A)⪄(⫶⩼⫲1076∧)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":101,"operation_count":3,"complexity_ratio":33.666666666666664,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":1405,"base":15}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":3486,"base":15}}},"used_operators":["SUmda5xLS4","u6S6b8DprG","z63VuFQld9"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr"],"result":"⫶⩼⫲12A4","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1405","layer":2},{"info":"compute unary expreesion, input=1405, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-2810","layer":1},{"info":"number node, value=3486","layer":2},{"info":"compute unary expreesion, input=3486, 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=-2810, 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":15,"result_base":15,"text":"(↽≂⫶⩼⫲63A)⪄(⫶⩼⫲1076∧)=⫶⩼⫲12A4","reverse_text":"⫶⩼⫲12A4=(↽≂⫶⩼⫲63A)⪄(⫶⩼⫲1076∧)","cot":[{"info":"↽≂⫶⩼⫲63A=⫶⩼⫲-C75","layer":1},{"info":"⫶⩼⫲1076∧=NaN","layer":1},{"info":"⫶⩼⫲-C75⪄NaN=⫶⩼⫲12A4","layer":0}]}
{"id":336,"expression_no_base_symbol":"$3944$∑⇟⊟$1623$⨎($6037$≣⋋)","expression":"⫶⩼⫲127E∑⇟⊟⫶⩼⫲733⨎(⫶⩼⫲1BC7≣⋋)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":516,"operation_count":3,"complexity_ratio":172.0,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":3944,"base":15},"right_expr":{"type":"numeric_atoms","value":1623,"base":15}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":6037,"base":15}}},"used_operators":["rJVOvQCfKK","U7g4x0WXJJ","Tcnh7f0tEr"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A"],"result":"⫶⩼⫲0","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=3944","layer":2},{"info":"number node, value=1623","layer":2},{"info":"compute binary expreesion, left_input=3944, right_input=1623, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=6037","layer":2},{"info":"compute unary expreesion, input=6037, 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 = 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":15,"result_base":15,"text":"⫶⩼⫲127E∑⇟⊟⫶⩼⫲733⨎(⫶⩼⫲1BC7≣⋋)=⫶⩼⫲0","reverse_text":"⫶⩼⫲0=⫶⩼⫲127E∑⇟⊟⫶⩼⫲733⨎(⫶⩼⫲1BC7≣⋋)","cot":[{"info":"⫶⩼⫲127E∑⇟⊟⫶⩼⫲733=NaN","layer":1},{"info":"⫶⩼⫲1BC7≣⋋=⫶⩼⫲0","layer":1},{"info":"NaN⨎⫶⩼⫲0=⫶⩼⫲0","layer":0}]}
{"id":337,"expression_no_base_symbol":"⪝⪂⫅$6363$⇷$2303$","expression":"⪝⪂⫅⫶⩼⫲1D43⇷⫶⩼⫲A38","highest_n_order":3,"priority_hierarchical_complexity":1,"normalized_expansion_degree":89238,"operation_count":2,"complexity_ratio":44619.0,"tree":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":6363,"base":15},"right_expr":{"type":"numeric_atoms","value":2303,"base":15}}},"used_operators":["XTarYq4gQB","mp7IySMOzn"],"dependent_operators":["9HNa5Wba9A","8w2t5hMYqp","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"⫶⩼⫲-D593C","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=6363","layer":2},{"info":"number node, value=2303","layer":2},{"info":"compute binary expreesion, left_input=6363, right_input=2303, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=4606","layer":1},{"info":"compute unary expreesion, input=4606, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-677082","layer":0}],"base":15,"result_base":15,"text":"⪝⪂⫅⫶⩼⫲1D43⇷⫶⩼⫲A38=⫶⩼⫲-D593C","reverse_text":"⫶⩼⫲-D593C=⪝⪂⫅⫶⩼⫲1D43⇷⫶⩼⫲A38","cot":[{"info":"⫶⩼⫲1D43⇷⫶⩼⫲A38=⫶⩼⫲1571","layer":1},{"info":"⪝⪂⫅⫶⩼⫲1571=⫶⩼⫲-D593C","layer":0}]}
{"id":338,"expression_no_base_symbol":"(↯⪼$1085$)∀⇚≩($6805$-$2184$)","expression":"(↯⪼⫶⩼⫲4C5)∀⇚≩(⫶⩼⫲203A-⫶⩼⫲9A9)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":179,"operation_count":3,"complexity_ratio":59.666666666666664,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1085,"base":15}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":6805,"base":15},"right_expr":{"type":"numeric_atoms","value":2184,"base":15}}},"used_operators":["LRNGc0VcxI","8jW3W4yZS5","rysDP5nf3Z"],"dependent_operators":["X99M06cbEe","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1085","layer":2},{"info":"compute unary expreesion, input=1085, 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=6805","layer":2},{"info":"number node, value=2184","layer":2},{"info":"compute binary expreesion, left_input=6805, right_input=2184, op_id = rysDP5nf3Z binary_op_definition= 'None', output=4621","layer":1},{"info":"compute binary expreesion, left_input=-21, right_input=4621, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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":15,"result_base":15,"text":"(↯⪼⫶⩼⫲4C5)∀⇚≩(⫶⩼⫲203A-⫶⩼⫲9A9)=NaN","reverse_text":"NaN=(↯⪼⫶⩼⫲4C5)∀⇚≩(⫶⩼⫲203A-⫶⩼⫲9A9)","cot":[{"info":"↯⪼⫶⩼⫲4C5=⫶⩼⫲-16","layer":1},{"info":"⫶⩼⫲203A-⫶⩼⫲9A9=⫶⩼⫲1581","layer":1},{"info":"⫶⩼⫲-16∀⇚≩⫶⩼⫲1581=NaN","layer":0}]}
{"id":339,"expression_no_base_symbol":"⪲⇎$1277$∀⇚≩$2703$","expression":"⪲⇎⫶⩼⫲5A2∀⇚≩⫶⩼⫲C03","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":8941,"operation_count":2,"complexity_ratio":4470.5,"tree":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1277,"base":15},"right_expr":{"type":"numeric_atoms","value":2703,"base":15}}},"used_operators":["XPYlsWDdGa","LRNGc0VcxI"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1277","layer":2},{"info":"number node, value=2703","layer":2},{"info":"compute binary expreesion, left_input=1277, right_input=2703, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=nan","layer":0}],"base":15,"result_base":15,"text":"⪲⇎⫶⩼⫲5A2∀⇚≩⫶⩼⫲C03=NaN","reverse_text":"NaN=⪲⇎⫶⩼⫲5A2∀⇚≩⫶⩼⫲C03","cot":[{"info":"⫶⩼⫲5A2∀⇚≩⫶⩼⫲C03=NaN","layer":1},{"info":"⪲⇎NaN=NaN","layer":0}]}
{"id":340,"expression_no_base_symbol":"↣≠⋷(↽≂$2482$)","expression":"↣≠⋷(↽≂⫶⩼⫲B07)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":6,"operation_count":2,"complexity_ratio":3.0,"tree":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":2482,"base":15}}},"used_operators":["Asc51vEJeQ","u6S6b8DprG"],"dependent_operators":["XhwjNDsVaA","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2482","layer":2},{"info":"compute unary expreesion, input=2482, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-4964","layer":1},{"info":"compute unary expreesion, input=-4964, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"↣≠⋷(↽≂⫶⩼⫲B07)=NaN","reverse_text":"NaN=↣≠⋷(↽≂⫶⩼⫲B07)","cot":[{"info":"↽≂⫶⩼⫲B07=⫶⩼⫲-170E","layer":1},{"info":"↣≠⋷⫶⩼⫲-170E=NaN","layer":0}]}
{"id":341,"expression_no_base_symbol":"($1142$-$3777$)⪄($5502$⪨≂$7732$)","expression":"(⫶⩼⫲512-⫶⩼⫲11BC)⪄(⫶⩼⫲196C⪨≂⫶⩼⫲2457)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":98,"operation_count":3,"complexity_ratio":32.666666666666664,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1142,"base":15},"right_expr":{"type":"numeric_atoms","value":3777,"base":15}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":5502,"base":15},"right_expr":{"type":"numeric_atoms","value":7732,"base":15}}},"used_operators":["SUmda5xLS4","rysDP5nf3Z","sdazOOVcIp"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd"],"result":"⫶⩼⫲12A4","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1142","layer":2},{"info":"number node, value=3777","layer":2},{"info":"compute binary expreesion, left_input=1142, right_input=3777, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-2635","layer":1},{"info":"number node, value=5502","layer":2},{"info":"number node, value=7732","layer":2},{"info":"compute binary expreesion, left_input=5502, right_input=7732, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-4358","layer":1},{"info":"compute binary expreesion, left_input=-2635, right_input=-4358, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲512-⫶⩼⫲11BC)⪄(⫶⩼⫲196C⪨≂⫶⩼⫲2457)=⫶⩼⫲12A4","reverse_text":"⫶⩼⫲12A4=(⫶⩼⫲512-⫶⩼⫲11BC)⪄(⫶⩼⫲196C⪨≂⫶⩼⫲2457)","cot":[{"info":"⫶⩼⫲512-⫶⩼⫲11BC=⫶⩼⫲-BAA","layer":1},{"info":"⫶⩼⫲196C⪨≂⫶⩼⫲2457=⫶⩼⫲-1458","layer":1},{"info":"⫶⩼⫲-BAA⪄⫶⩼⫲-1458=⫶⩼⫲12A4","layer":0}]}
{"id":342,"expression_no_base_symbol":"(↩$5276$)⪢($1344$↙$2019$)","expression":"(↩⫶⩼⫲186B)⪢(⫶⩼⫲5E9↙⫶⩼⫲8E9)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":23350,"operation_count":3,"complexity_ratio":7783.333333333333,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":5276,"base":15}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1344,"base":15},"right_expr":{"type":"numeric_atoms","value":2019,"base":15}}},"used_operators":["dWAJyo7jo9","jLgFTUHLKL","yyfyN0ffXY"],"dependent_operators":["k8jYdgA6NY","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","tmPS8pqC7x","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=5276","layer":2},{"info":"compute unary expreesion, input=5276, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-39428","layer":1},{"info":"number node, value=1344","layer":2},{"info":"number node, value=2019","layer":2},{"info":"compute binary expreesion, left_input=1344, right_input=2019, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-6057","layer":1},{"info":"compute binary expreesion, left_input=-39428, right_input=-6057, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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":15,"result_base":15,"text":"(↩⫶⩼⫲186B)⪢(⫶⩼⫲5E9↙⫶⩼⫲8E9)=NaN","reverse_text":"NaN=(↩⫶⩼⫲186B)⪢(⫶⩼⫲5E9↙⫶⩼⫲8E9)","cot":[{"info":"↩⫶⩼⫲186B=⫶⩼⫲-BA38","layer":1},{"info":"⫶⩼⫲5E9↙⫶⩼⫲8E9=⫶⩼⫲-1BDC","layer":1},{"info":"⫶⩼⫲-BA38⪢⫶⩼⫲-1BDC=NaN","layer":0}]}
{"id":343,"expression_no_base_symbol":"$8446$⨟⋌⩍$1600$⨳⩥⨓(⨑⩽⪐$1596$)","expression":"⫶⩼⫲2781⨟⋌⩍⫶⩼⫲71A⨳⩥⨓(⨑⩽⪐⫶⩼⫲716)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":8,"operation_count":3,"complexity_ratio":2.6666666666666665,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":8446,"base":15},"right_expr":{"type":"numeric_atoms","value":1600,"base":15}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":1596,"base":15}}},"used_operators":["nCS4ZIUYfx","rGHVDoGpnC","AF7qkfDlqP"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=8446","layer":2},{"info":"number node, value=1600","layer":2},{"info":"compute binary expreesion, left_input=8446, right_input=1600, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=1596","layer":2},{"info":"compute unary expreesion, input=1596, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-1323","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-1323, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲2781⨟⋌⩍⫶⩼⫲71A⨳⩥⨓(⨑⩽⪐⫶⩼⫲716)=NaN","reverse_text":"NaN=⫶⩼⫲2781⨟⋌⩍⫶⩼⫲71A⨳⩥⨓(⨑⩽⪐⫶⩼⫲716)","cot":[{"info":"⫶⩼⫲2781⨟⋌⩍⫶⩼⫲71A=NaN","layer":1},{"info":"⨑⩽⪐⫶⩼⫲716=⫶⩼⫲-5D3","layer":1},{"info":"NaN⨳⩥⨓⫶⩼⫲-5D3=NaN","layer":0}]}
{"id":344,"expression_no_base_symbol":"$2246$⊭↱$1006$⪒$2027$⨪↰⇹$2558$","expression":"⫶⩼⫲9EB⊭↱⫶⩼⫲471⪒⫶⩼⫲902⨪↰⇹⫶⩼⫲B58","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2036,"operation_count":3,"complexity_ratio":678.6666666666666,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":2246,"base":15},"right_expr":{"type":"numeric_atoms","value":1006,"base":15}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2027,"base":15},"right_expr":{"type":"numeric_atoms","value":2558,"base":15}}},"used_operators":["f6k1SAg4EE","COABgblf1C","tmPS8pqC7x"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK"],"result":"⫶⩼⫲1ED","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2246","layer":2},{"info":"number node, value=1006","layer":2},{"info":"compute binary expreesion, left_input=2246, right_input=1006, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-2475","layer":1},{"info":"number node, value=2027","layer":2},{"info":"number node, value=2558","layer":2},{"info":"compute binary expreesion, left_input=2027, right_input=2558, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=2027","layer":1},{"info":"compute binary expreesion, left_input=-2475, right_input=2027, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=448","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲9EB⊭↱⫶⩼⫲471⪒⫶⩼⫲902⨪↰⇹⫶⩼⫲B58=⫶⩼⫲1ED","reverse_text":"⫶⩼⫲1ED=⫶⩼⫲9EB⊭↱⫶⩼⫲471⪒⫶⩼⫲902⨪↰⇹⫶⩼⫲B58","cot":[{"info":"⫶⩼⫲9EB⊭↱⫶⩼⫲471=⫶⩼⫲-B00","layer":1},{"info":"⫶⩼⫲902⨪↰⇹⫶⩼⫲B58=⫶⩼⫲902","layer":1},{"info":"⫶⩼⫲-B00⪒⫶⩼⫲902=⫶⩼⫲1ED","layer":0}]}
{"id":345,"expression_no_base_symbol":"$1446$+⇶⊼$2837$⋥≓≎$3769$⋳⪒$1684$","expression":"⫶⩼⫲666+⇶⊼⫶⩼⫲C92⋥≓≎⫶⩼⫲11B4⋳⪒⫶⩼⫲774","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":10,"operation_count":3,"complexity_ratio":3.3333333333333335,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1446,"base":15},"right_expr":{"type":"numeric_atoms","value":2837,"base":15}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":3769,"base":15},"right_expr":{"type":"numeric_atoms","value":1684,"base":15}}},"used_operators":["Qy55tPpLXF","TpPTUOHfaN","12rbrZMWeM"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd"],"result":"⫶⩼⫲47","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1446","layer":2},{"info":"number node, value=2837","layer":2},{"info":"compute binary expreesion, left_input=1446, right_input=2837, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=3769","layer":2},{"info":"number node, value=1684","layer":2},{"info":"compute binary expreesion, left_input=3769, right_input=1684, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=5567","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=5567, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲666+⇶⊼⫶⩼⫲C92⋥≓≎⫶⩼⫲11B4⋳⪒⫶⩼⫲774=⫶⩼⫲47","reverse_text":"⫶⩼⫲47=⫶⩼⫲666+⇶⊼⫶⩼⫲C92⋥≓≎⫶⩼⫲11B4⋳⪒⫶⩼⫲774","cot":[{"info":"⫶⩼⫲666+⇶⊼⫶⩼⫲C92=NaN","layer":1},{"info":"⫶⩼⫲11B4⋳⪒⫶⩼⫲774=⫶⩼⫲19B2","layer":1},{"info":"NaN⋥≓≎⫶⩼⫲19B2=⫶⩼⫲47","layer":0}]}
{"id":346,"expression_no_base_symbol":"$3879$⩷∴$6489$*$2077$⨳⩥⨓$2398$","expression":"⫶⩼⫲1239⩷∴⫶⩼⫲1DC9*⫶⩼⫲937⨳⩥⨓⫶⩼⫲A9D","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":330,"operation_count":3,"complexity_ratio":110.0,"tree":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":3879,"base":15},"right_expr":{"type":"numeric_atoms","value":6489,"base":15}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2077,"base":15},"right_expr":{"type":"numeric_atoms","value":2398,"base":15}}},"used_operators":["9HNa5Wba9A","9FxExcQeMw","nCS4ZIUYfx"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z"],"result":"⫶⩼⫲-2347CC","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=3879","layer":2},{"info":"number node, value=6489","layer":2},{"info":"compute binary expreesion, left_input=3879, right_input=6489, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-5252","layer":1},{"info":"number node, value=2077","layer":2},{"info":"number node, value=2398","layer":2},{"info":"compute binary expreesion, left_input=2077, right_input=2398, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=321","layer":1},{"info":"compute binary expreesion, left_input=-5252, right_input=321, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-1685892","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲1239⩷∴⫶⩼⫲1DC9*⫶⩼⫲937⨳⩥⨓⫶⩼⫲A9D=⫶⩼⫲-2347CC","reverse_text":"⫶⩼⫲-2347CC=⫶⩼⫲1239⩷∴⫶⩼⫲1DC9*⫶⩼⫲937⨳⩥⨓⫶⩼⫲A9D","cot":[{"info":"⫶⩼⫲1239⩷∴⫶⩼⫲1DC9=⫶⩼⫲-1852","layer":1},{"info":"⫶⩼⫲937⨳⩥⨓⫶⩼⫲A9D=⫶⩼⫲166","layer":1},{"info":"⫶⩼⫲-1852*⫶⩼⫲166=⫶⩼⫲-2347CC","layer":0}]}
{"id":347,"expression_no_base_symbol":"(⇁⨣⪵$3283$)∑⇟⊟($2979$⋝⋈⪟$2893$)","expression":"(⇁⨣⪵⫶⩼⫲E8D)∑⇟⊟(⫶⩼⫲D39⋝⋈⪟⫶⩼⫲CCD)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5,"operation_count":3,"complexity_ratio":1.6666666666666667,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":3283,"base":15}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2979,"base":15},"right_expr":{"type":"numeric_atoms","value":2893,"base":15}}},"used_operators":["U7g4x0WXJJ","inkyxCbjAn","2DDjHMKMc0"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","B5M0gjZbta","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=3283","layer":2},{"info":"compute unary expreesion, input=3283, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":1},{"info":"number node, value=2979","layer":2},{"info":"number node, value=2893","layer":2},{"info":"compute binary expreesion, left_input=2979, right_input=2893, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2979","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2979, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":15,"result_base":15,"text":"(⇁⨣⪵⫶⩼⫲E8D)∑⇟⊟(⫶⩼⫲D39⋝⋈⪟⫶⩼⫲CCD)=NaN","reverse_text":"NaN=(⇁⨣⪵⫶⩼⫲E8D)∑⇟⊟(⫶⩼⫲D39⋝⋈⪟⫶⩼⫲CCD)","cot":[{"info":"⇁⨣⪵⫶⩼⫲E8D=NaN","layer":1},{"info":"⫶⩼⫲D39⋝⋈⪟⫶⩼⫲CCD=⫶⩼⫲D39","layer":1},{"info":"NaN∑⇟⊟⫶⩼⫲D39=NaN","layer":0}]}
{"id":348,"expression_no_base_symbol":"($1161$∲⫓$1556$)⪮%⊝($1367$⇋≉)","expression":"(⫶⩼⫲526∲⫓⫶⩼⫲6DB)⪮%⊝(⫶⩼⫲612⇋≉)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":14,"operation_count":3,"complexity_ratio":4.666666666666667,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1161,"base":15},"right_expr":{"type":"numeric_atoms","value":1556,"base":15}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":1367,"base":15}}},"used_operators":["IWmyXbctLI","i8ToyICDmI","XIabStNQrY"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⫶⩼⫲161","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1161","layer":2},{"info":"number node, value=1556","layer":2},{"info":"compute binary expreesion, left_input=1161, right_input=1556, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":1},{"info":"number node, value=1367","layer":2},{"info":"compute unary expreesion, input=1367, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=2636","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=2636, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=316","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲526∲⫓⫶⩼⫲6DB)⪮%⊝(⫶⩼⫲612⇋≉)=⫶⩼⫲161","reverse_text":"⫶⩼⫲161=(⫶⩼⫲526∲⫓⫶⩼⫲6DB)⪮%⊝(⫶⩼⫲612⇋≉)","cot":[{"info":"⫶⩼⫲526∲⫓⫶⩼⫲6DB=⫶⩼⫲0","layer":1},{"info":"⫶⩼⫲612⇋≉=⫶⩼⫲BAB","layer":1},{"info":"⫶⩼⫲0⪮%⊝⫶⩼⫲BAB=⫶⩼⫲161","layer":0}]}
{"id":349,"expression_no_base_symbol":"(↔$2410$)⪒$2856$⨪↰⇹$4712$","expression":"(↔⫶⩼⫲AAA)⪒⫶⩼⫲CA6⨪↰⇹⫶⩼⫲15E2","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2866,"operation_count":3,"complexity_ratio":955.3333333333334,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":2410,"base":15}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2856,"base":15},"right_expr":{"type":"numeric_atoms","value":4712,"base":15}}},"used_operators":["f6k1SAg4EE","ruOEQAzv1W","tmPS8pqC7x"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rJVOvQCfKK"],"result":"⫶⩼⫲-32E","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2410","layer":2},{"info":"compute unary expreesion, input=2410, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-2137","layer":1},{"info":"number node, value=2856","layer":2},{"info":"number node, value=4712","layer":2},{"info":"compute binary expreesion, left_input=2856, right_input=4712, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=2856","layer":1},{"info":"compute binary expreesion, left_input=-2137, right_input=2856, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-719","layer":0}],"base":15,"result_base":15,"text":"(↔⫶⩼⫲AAA)⪒⫶⩼⫲CA6⨪↰⇹⫶⩼⫲15E2=⫶⩼⫲-32E","reverse_text":"⫶⩼⫲-32E=(↔⫶⩼⫲AAA)⪒⫶⩼⫲CA6⨪↰⇹⫶⩼⫲15E2","cot":[{"info":"↔⫶⩼⫲AAA=⫶⩼⫲-977","layer":1},{"info":"⫶⩼⫲CA6⨪↰⇹⫶⩼⫲15E2=⫶⩼⫲CA6","layer":1},{"info":"⫶⩼⫲-977⪒⫶⩼⫲CA6=⫶⩼⫲-32E","layer":0}]}
{"id":350,"expression_no_base_symbol":"($1089$⪄$2492$)⫸⊐($1441$⫡⨏$2270$)","expression":"(⫶⩼⫲4C9⪄⫶⩼⫲B12)⫸⊐(⫶⩼⫲661⫡⨏⫶⩼⫲A15)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":106,"operation_count":3,"complexity_ratio":35.333333333333336,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1089,"base":15},"right_expr":{"type":"numeric_atoms","value":2492,"base":15}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1441,"base":15},"right_expr":{"type":"numeric_atoms","value":2270,"base":15}}},"used_operators":["mqXw5SEYmG","SUmda5xLS4","QMFrweE19q"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd"],"result":"⫶⩼⫲448","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1089","layer":2},{"info":"number node, value=2492","layer":2},{"info":"compute binary expreesion, left_input=1089, right_input=2492, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-167229","layer":1},{"info":"number node, value=1441","layer":2},{"info":"number node, value=2270","layer":2},{"info":"compute binary expreesion, left_input=1441, right_input=2270, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=12528","layer":1},{"info":"compute binary expreesion, left_input=-167229, right_input=12528, 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":15,"result_base":15,"text":"(⫶⩼⫲4C9⪄⫶⩼⫲B12)⫸⊐(⫶⩼⫲661⫡⨏⫶⩼⫲A15)=⫶⩼⫲448","reverse_text":"⫶⩼⫲448=(⫶⩼⫲4C9⪄⫶⩼⫲B12)⫸⊐(⫶⩼⫲661⫡⨏⫶⩼⫲A15)","cot":[{"info":"⫶⩼⫲4C9⪄⫶⩼⫲B12=⫶⩼⫲-34839","layer":1},{"info":"⫶⩼⫲661⫡⨏⫶⩼⫲A15=⫶⩼⫲3AA3","layer":1},{"info":"⫶⩼⫲-34839⫸⊐⫶⩼⫲3AA3=⫶⩼⫲448","layer":0}]}
{"id":351,"expression_no_base_symbol":"⊙↵-($1344$↬$5636$)","expression":"⊙↵-(⫶⩼⫲5E9↬⫶⩼⫲1A0B)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":28,"operation_count":2,"complexity_ratio":14.0,"tree":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1344,"base":15},"right_expr":{"type":"numeric_atoms","value":5636,"base":15}}},"used_operators":["oWn0xqSxBt","B5M0gjZbta"],"dependent_operators":["dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1344","layer":2},{"info":"number node, value=5636","layer":2},{"info":"compute binary expreesion, left_input=1344, right_input=5636, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"⊙↵-(⫶⩼⫲5E9↬⫶⩼⫲1A0B)=NaN","reverse_text":"NaN=⊙↵-(⫶⩼⫲5E9↬⫶⩼⫲1A0B)","cot":[{"info":"⫶⩼⫲5E9↬⫶⩼⫲1A0B=NaN","layer":1},{"info":"⊙↵-NaN=NaN","layer":0}]}
{"id":352,"expression_no_base_symbol":"($5431$↛⩡⫤)⊭∹↮","expression":"(⫶⩼⫲1921↛⩡⫤)⊭∹↮","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":16428,"operation_count":2,"complexity_ratio":8214.0,"tree":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":5431,"base":15}}},"used_operators":["xNBdhnnwKq","FU0Cs4j7VP"],"dependent_operators":["2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X"],"result":"⫶⩼⫲-111C65","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=5431","layer":2},{"info":"compute unary expreesion, input=5431, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-816170","layer":1},{"info":"compute unary expreesion, input=-816170, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=-816170","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲1921↛⩡⫤)⊭∹↮=⫶⩼⫲-111C65","reverse_text":"⫶⩼⫲-111C65=(⫶⩼⫲1921↛⩡⫤)⊭∹↮","cot":[{"info":"⫶⩼⫲1921↛⩡⫤=⫶⩼⫲-111C65","layer":1},{"info":"⫶⩼⫲-111C65⊭∹↮=⫶⩼⫲-111C65","layer":0}]}
{"id":353,"expression_no_base_symbol":"$1207$⋝⋈⪟$3881$⫩⊇","expression":"⫶⩼⫲557⋝⋈⪟⫶⩼⫲123B⫩⊇","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5,"operation_count":2,"complexity_ratio":2.5,"tree":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1207,"base":15},"right_expr":{"type":"numeric_atoms","value":3881,"base":15}}},"used_operators":["BjRHVeLaeN","2DDjHMKMc0"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⫶⩼⫲-52A","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1207","layer":2},{"info":"number node, value=3881","layer":2},{"info":"compute binary expreesion, left_input=1207, right_input=3881, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1207","layer":1},{"info":"compute unary expreesion, input=1207, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-1165","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲557⋝⋈⪟⫶⩼⫲123B⫩⊇=⫶⩼⫲-52A","reverse_text":"⫶⩼⫲-52A=⫶⩼⫲557⋝⋈⪟⫶⩼⫲123B⫩⊇","cot":[{"info":"⫶⩼⫲557⋝⋈⪟⫶⩼⫲123B=⫶⩼⫲557","layer":1},{"info":"⫶⩼⫲557⫩⊇=⫶⩼⫲-52A","layer":0}]}
{"id":354,"expression_no_base_symbol":"$1159$⩚⊴⇥$3794$⪒$1054$⨰$5367$","expression":"⫶⩼⫲524⩚⊴⇥⫶⩼⫲11CE⪒⫶⩼⫲4A4⨰⫶⩼⫲18CC","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":12,"operation_count":3,"complexity_ratio":4.0,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1159,"base":15},"right_expr":{"type":"numeric_atoms","value":3794,"base":15}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1054,"base":15},"right_expr":{"type":"numeric_atoms","value":5367,"base":15}}},"used_operators":["f6k1SAg4EE","NTOWxs364D","eewbuw0ToL"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫶⩼⫲2BA2","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1159","layer":2},{"info":"number node, value=3794","layer":2},{"info":"compute binary expreesion, left_input=1159, right_input=3794, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-5074","layer":1},{"info":"number node, value=1054","layer":2},{"info":"number node, value=5367","layer":2},{"info":"compute binary expreesion, left_input=1054, right_input=5367, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-4303","layer":1},{"info":"compute binary expreesion, left_input=-5074, right_input=-4303, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=9377","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲524⩚⊴⇥⫶⩼⫲11CE⪒⫶⩼⫲4A4⨰⫶⩼⫲18CC=⫶⩼⫲2BA2","reverse_text":"⫶⩼⫲2BA2=⫶⩼⫲524⩚⊴⇥⫶⩼⫲11CE⪒⫶⩼⫲4A4⨰⫶⩼⫲18CC","cot":[{"info":"⫶⩼⫲524⩚⊴⇥⫶⩼⫲11CE=⫶⩼⫲-1784","layer":1},{"info":"⫶⩼⫲4A4⨰⫶⩼⫲18CC=⫶⩼⫲-141D","layer":1},{"info":"⫶⩼⫲-1784⪒⫶⩼⫲-141D=⫶⩼⫲2BA2","layer":0}]}
{"id":355,"expression_no_base_symbol":"⨰⫟⨤($2126$⫥∨⫟$5473$)","expression":"⨰⫟⨤(⫶⩼⫲96B⫥∨⫟⫶⩼⫲194D)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":183,"operation_count":2,"complexity_ratio":91.5,"tree":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2126,"base":15},"right_expr":{"type":"numeric_atoms","value":5473,"base":15}}},"used_operators":["Tw270M8GLb","KYD54nUTWz"],"dependent_operators":["sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=2126","layer":2},{"info":"number node, value=5473","layer":2},{"info":"compute binary expreesion, left_input=2126, right_input=5473, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"⨰⫟⨤(⫶⩼⫲96B⫥∨⫟⫶⩼⫲194D)=NaN","reverse_text":"NaN=⨰⫟⨤(⫶⩼⫲96B⫥∨⫟⫶⩼⫲194D)","cot":[{"info":"⫶⩼⫲96B⫥∨⫟⫶⩼⫲194D=NaN","layer":1},{"info":"⨰⫟⨤NaN=NaN","layer":0}]}
{"id":356,"expression_no_base_symbol":"↽≂($7056$∲⫓$2767$)","expression":"↽≂(⫶⩼⫲2156∲⫓⫶⩼⫲C47)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5,"operation_count":2,"complexity_ratio":2.5,"tree":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":7056,"base":15},"right_expr":{"type":"numeric_atoms","value":2767,"base":15}}},"used_operators":["u6S6b8DprG","i8ToyICDmI"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⫶⩼⫲0","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=7056","layer":2},{"info":"number node, value=2767","layer":2},{"info":"compute binary expreesion, left_input=7056, right_input=2767, 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 = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=0","layer":0}],"base":15,"result_base":15,"text":"↽≂(⫶⩼⫲2156∲⫓⫶⩼⫲C47)=⫶⩼⫲0","reverse_text":"⫶⩼⫲0=↽≂(⫶⩼⫲2156∲⫓⫶⩼⫲C47)","cot":[{"info":"⫶⩼⫲2156∲⫓⫶⩼⫲C47=⫶⩼⫲0","layer":1},{"info":"↽≂⫶⩼⫲0=⫶⩼⫲0","layer":0}]}
{"id":357,"expression_no_base_symbol":"$1185$∀⇚≩$2610$⩷∴(≦∁$3848$)","expression":"⫶⩼⫲540∀⇚≩⫶⩼⫲B90⩷∴(≦∁⫶⩼⫲1218)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":8302,"operation_count":3,"complexity_ratio":2767.3333333333335,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1185,"base":15},"right_expr":{"type":"numeric_atoms","value":2610,"base":15}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":3848,"base":15}}},"used_operators":["9FxExcQeMw","LRNGc0VcxI","9ICcGScMcE"],"dependent_operators":["rysDP5nf3Z","X99M06cbEe","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1185","layer":2},{"info":"number node, value=2610","layer":2},{"info":"compute binary expreesion, left_input=1185, right_input=2610, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=3848","layer":2},{"info":"compute unary expreesion, input=3848, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=3848","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=3848, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲540∀⇚≩⫶⩼⫲B90⩷∴(≦∁⫶⩼⫲1218)=NaN","reverse_text":"NaN=⫶⩼⫲540∀⇚≩⫶⩼⫲B90⩷∴(≦∁⫶⩼⫲1218)","cot":[{"info":"⫶⩼⫲540∀⇚≩⫶⩼⫲B90=NaN","layer":1},{"info":"≦∁⫶⩼⫲1218=⫶⩼⫲1218","layer":1},{"info":"NaN⩷∴⫶⩼⫲1218=NaN","layer":0}]}
{"id":358,"expression_no_base_symbol":"(⨑⩽⪐$3061$)⩚⊴⇥($8028$+⇶⊼$2574$)","expression":"(⨑⩽⪐⫶⩼⫲D91)⩚⊴⇥(⫶⩼⫲25A3+⇶⊼⫶⩼⫲B69)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":8,"operation_count":3,"complexity_ratio":2.6666666666666665,"tree":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":3061,"base":15}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":8028,"base":15},"right_expr":{"type":"numeric_atoms","value":2574,"base":15}}},"used_operators":["NTOWxs364D","AF7qkfDlqP","TpPTUOHfaN"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=3061","layer":2},{"info":"compute unary expreesion, input=3061, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-2788","layer":1},{"info":"number node, value=8028","layer":2},{"info":"number node, value=2574","layer":2},{"info":"compute binary expreesion, left_input=8028, right_input=2574, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=-2788, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"(⨑⩽⪐⫶⩼⫲D91)⩚⊴⇥(⫶⩼⫲25A3+⇶⊼⫶⩼⫲B69)=NaN","reverse_text":"NaN=(⨑⩽⪐⫶⩼⫲D91)⩚⊴⇥(⫶⩼⫲25A3+⇶⊼⫶⩼⫲B69)","cot":[{"info":"⨑⩽⪐⫶⩼⫲D91=⫶⩼⫲-C5D","layer":1},{"info":"⫶⩼⫲25A3+⇶⊼⫶⩼⫲B69=NaN","layer":1},{"info":"⫶⩼⫲-C5D⩚⊴⇥NaN=NaN","layer":0}]}
{"id":359,"expression_no_base_symbol":"($1263$⋫)⨟⋌⩍($9912$⪐)","expression":"(⫶⩼⫲593⋫)⨟⋌⩍(⫶⩼⫲2E0C⪐)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1266,"operation_count":3,"complexity_ratio":422.0,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":1263,"base":15}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":9912,"base":15}}},"used_operators":["rGHVDoGpnC","JL8yIekQnl","eH2TOUuTDT"],"dependent_operators":["Tcnh7f0tEr","tmPS8pqC7x","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1263","layer":2},{"info":"compute unary expreesion, input=1263, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=1263","layer":1},{"info":"number node, value=9912","layer":2},{"info":"compute unary expreesion, input=9912, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=19824","layer":1},{"info":"compute binary expreesion, left_input=1263, right_input=19824, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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":15,"result_base":15,"text":"(⫶⩼⫲593⋫)⨟⋌⩍(⫶⩼⫲2E0C⪐)=NaN","reverse_text":"NaN=(⫶⩼⫲593⋫)⨟⋌⩍(⫶⩼⫲2E0C⪐)","cot":[{"info":"⫶⩼⫲593⋫=⫶⩼⫲593","layer":1},{"info":"⫶⩼⫲2E0C⪐=⫶⩼⫲5D19","layer":1},{"info":"⫶⩼⫲593⨟⋌⩍⫶⩼⫲5D19=NaN","layer":0}]}
{"id":360,"expression_no_base_symbol":"($4048$⪨≂$5717$)⊉≛↸($3069$⊘)","expression":"(⫶⩼⫲12ED⪨≂⫶⩼⫲1A62)⊉≛↸(⫶⩼⫲D99⊘)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":28,"operation_count":3,"complexity_ratio":9.333333333333334,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":4048,"base":15},"right_expr":{"type":"numeric_atoms","value":5717,"base":15}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":3069,"base":15}}},"used_operators":["DZ8iAZOCBD","sdazOOVcIp","gu96TGCTMs"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D"],"result":"⫶⩼⫲0","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=4048","layer":2},{"info":"number node, value=5717","layer":2},{"info":"compute binary expreesion, left_input=4048, right_input=5717, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-3236","layer":1},{"info":"number node, value=3069","layer":2},{"info":"compute unary expreesion, input=3069, 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=-3236, right_input=0, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=0","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲12ED⪨≂⫶⩼⫲1A62)⊉≛↸(⫶⩼⫲D99⊘)=⫶⩼⫲0","reverse_text":"⫶⩼⫲0=(⫶⩼⫲12ED⪨≂⫶⩼⫲1A62)⊉≛↸(⫶⩼⫲D99⊘)","cot":[{"info":"⫶⩼⫲12ED⪨≂⫶⩼⫲1A62=⫶⩼⫲-E5B","layer":1},{"info":"⫶⩼⫲D99⊘=⫶⩼⫲0","layer":1},{"info":"⫶⩼⫲-E5B⊉≛↸⫶⩼⫲0=⫶⩼⫲0","layer":0}]}
{"id":361,"expression_no_base_symbol":"$4489$⨓$3837$-$2107$⊭↱$3716$","expression":"⫶⩼⫲14E4⨓⫶⩼⫲120C-⫶⩼⫲957⊭↱⫶⩼⫲117B","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3850,"operation_count":3,"complexity_ratio":1283.3333333333333,"tree":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":4489,"base":15},"right_expr":{"type":"numeric_atoms","value":3837,"base":15}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":2107,"base":15},"right_expr":{"type":"numeric_atoms","value":3716,"base":15}}},"used_operators":["rysDP5nf3Z","3ViojmjbAp","COABgblf1C"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd"],"result":"⫶⩼⫲-215D","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=4489","layer":2},{"info":"number node, value=3837","layer":2},{"info":"compute binary expreesion, left_input=4489, right_input=3837, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3840","layer":1},{"info":"number node, value=2107","layer":2},{"info":"number node, value=3716","layer":2},{"info":"compute binary expreesion, left_input=2107, right_input=3716, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=3223","layer":1},{"info":"compute binary expreesion, left_input=-3840, right_input=3223, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-7063","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲14E4⨓⫶⩼⫲120C-⫶⩼⫲957⊭↱⫶⩼⫲117B=⫶⩼⫲-215D","reverse_text":"⫶⩼⫲-215D=⫶⩼⫲14E4⨓⫶⩼⫲120C-⫶⩼⫲957⊭↱⫶⩼⫲117B","cot":[{"info":"⫶⩼⫲14E4⨓⫶⩼⫲120C=⫶⩼⫲-1210","layer":1},{"info":"⫶⩼⫲957⊭↱⫶⩼⫲117B=⫶⩼⫲E4D","layer":1},{"info":"⫶⩼⫲-1210-⫶⩼⫲E4D=⫶⩼⫲-215D","layer":0}]}
{"id":362,"expression_no_base_symbol":"≉$2987$⫸⊐$1075$","expression":"≉⫶⩼⫲D42⫸⊐⫶⩼⫲4BA","highest_n_order":2,"priority_hierarchical_complexity":1,"normalized_expansion_degree":26,"operation_count":2,"complexity_ratio":13.0,"tree":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2987,"base":15},"right_expr":{"type":"numeric_atoms","value":1075,"base":15}}},"used_operators":["e1ybzncUwg","mqXw5SEYmG"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"⫶⩼⫲15DB","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2987","layer":2},{"info":"number node, value=1075","layer":2},{"info":"compute binary expreesion, left_input=2987, 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":1},{"info":"compute unary expreesion, input=4175, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=4706","layer":0}],"base":15,"result_base":15,"text":"≉⫶⩼⫲D42⫸⊐⫶⩼⫲4BA=⫶⩼⫲15DB","reverse_text":"⫶⩼⫲15DB=≉⫶⩼⫲D42⫸⊐⫶⩼⫲4BA","cot":[{"info":"⫶⩼⫲D42⫸⊐⫶⩼⫲4BA=⫶⩼⫲1385","layer":1},{"info":"≉⫶⩼⫲1385=⫶⩼⫲15DB","layer":0}]}
{"id":363,"expression_no_base_symbol":"≦∁(⨵≀≌$5183$)","expression":"≦∁(⨵≀≌⫶⩼⫲1808)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":80,"operation_count":2,"complexity_ratio":40.0,"tree":{"type":"unary","operator":"≦∁","unary_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":5183,"base":15}}},"used_operators":["9ICcGScMcE","srAu1WTS94"],"dependent_operators":["XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A"],"result":"⫶⩼⫲47","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=5183","layer":2},{"info":"compute unary expreesion, input=5183, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-15549","layer":1},{"info":"compute unary expreesion, input=-15549, 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":15,"result_base":15,"text":"≦∁(⨵≀≌⫶⩼⫲1808)=⫶⩼⫲47","reverse_text":"⫶⩼⫲47=≦∁(⨵≀≌⫶⩼⫲1808)","cot":[{"info":"⨵≀≌⫶⩼⫲1808=⫶⩼⫲-4919","layer":1},{"info":"≦∁⫶⩼⫲-4919=⫶⩼⫲47","layer":0}]}
{"id":364,"expression_no_base_symbol":"⊙↵-($3085$⇷$1615$)","expression":"⊙↵-(⫶⩼⫲DAA⇷⫶⩼⫲72A)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":46472,"operation_count":2,"complexity_ratio":23236.0,"tree":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":3085,"base":15},"right_expr":{"type":"numeric_atoms","value":1615,"base":15}}},"used_operators":["oWn0xqSxBt","mp7IySMOzn"],"dependent_operators":["dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"⫶⩼⫲-1","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=3085","layer":2},{"info":"number node, value=1615","layer":2},{"info":"compute binary expreesion, left_input=3085, right_input=1615, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3230","layer":1},{"info":"compute unary expreesion, input=3230, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":0}],"base":15,"result_base":15,"text":"⊙↵-(⫶⩼⫲DAA⇷⫶⩼⫲72A)=⫶⩼⫲-1","reverse_text":"⫶⩼⫲-1=⊙↵-(⫶⩼⫲DAA⇷⫶⩼⫲72A)","cot":[{"info":"⫶⩼⫲DAA⇷⫶⩼⫲72A=⫶⩼⫲E55","layer":1},{"info":"⊙↵-⫶⩼⫲E55=⫶⩼⫲-1","layer":0}]}
{"id":365,"expression_no_base_symbol":"$1664$⊉≛↸$3986$⩨$2672$⨐⩸⫘$5574$","expression":"⫶⩼⫲75E⊉≛↸⫶⩼⫲12AB⩨⫶⩼⫲BD2⨐⩸⫘⫶⩼⫲19B9","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":7,"operation_count":3,"complexity_ratio":2.3333333333333335,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1664,"base":15},"right_expr":{"type":"numeric_atoms","value":3986,"base":15}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2672,"base":15},"right_expr":{"type":"numeric_atoms","value":5574,"base":15}}},"used_operators":["2DlMacCsIx","DZ8iAZOCBD","fu6greOZ01"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1664","layer":2},{"info":"number node, value=3986","layer":2},{"info":"compute binary expreesion, left_input=1664, right_input=3986, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3328","layer":1},{"info":"number node, value=2672","layer":2},{"info":"number node, value=5574","layer":2},{"info":"compute binary expreesion, left_input=2672, right_input=5574, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=3328, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲75E⊉≛↸⫶⩼⫲12AB⩨⫶⩼⫲BD2⨐⩸⫘⫶⩼⫲19B9=NaN","reverse_text":"NaN=⫶⩼⫲75E⊉≛↸⫶⩼⫲12AB⩨⫶⩼⫲BD2⨐⩸⫘⫶⩼⫲19B9","cot":[{"info":"⫶⩼⫲75E⊉≛↸⫶⩼⫲12AB=⫶⩼⫲EBD","layer":1},{"info":"⫶⩼⫲BD2⨐⩸⫘⫶⩼⫲19B9=NaN","layer":1},{"info":"⫶⩼⫲EBD⩨NaN=NaN","layer":0}]}
{"id":366,"expression_no_base_symbol":"(≦∁$3676$)⩷∴($4582$⪠⩆⊳)","expression":"(≦∁⫶⩼⫲1151)⩷∴(⫶⩼⫲1557⪠⩆⊳)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":13,"operation_count":3,"complexity_ratio":4.333333333333333,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":3676,"base":15}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":4582,"base":15}}},"used_operators":["9FxExcQeMw","9ICcGScMcE","JLbD19bQDL"],"dependent_operators":["rysDP5nf3Z","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫶⩼⫲2280","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=3676","layer":2},{"info":"compute unary expreesion, input=3676, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=3676","layer":1},{"info":"number node, value=4582","layer":2},{"info":"compute unary expreesion, input=4582, 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=3676, right_input=0, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=7320","layer":0}],"base":15,"result_base":15,"text":"(≦∁⫶⩼⫲1151)⩷∴(⫶⩼⫲1557⪠⩆⊳)=⫶⩼⫲2280","reverse_text":"⫶⩼⫲2280=(≦∁⫶⩼⫲1151)⩷∴(⫶⩼⫲1557⪠⩆⊳)","cot":[{"info":"≦∁⫶⩼⫲1151=⫶⩼⫲1151","layer":1},{"info":"⫶⩼⫲1557⪠⩆⊳=⫶⩼⫲0","layer":1},{"info":"⫶⩼⫲1151⩷∴⫶⩼⫲0=⫶⩼⫲2280","layer":0}]}
{"id":367,"expression_no_base_symbol":"$1057$⨽$7161$⨵⪆$2614$⪘⫢$7920$","expression":"⫶⩼⫲4A7⨽⫶⩼⫲21C6⨵⪆⫶⩼⫲B94⪘⫢⫶⩼⫲2530","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1082,"operation_count":3,"complexity_ratio":360.6666666666667,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1057,"base":15},"right_expr":{"type":"numeric_atoms","value":7161,"base":15}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2614,"base":15},"right_expr":{"type":"numeric_atoms","value":7920,"base":15}}},"used_operators":["2DQ55sFlQl","8HhzD0ZcuI","oacrs7FA3X"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"⫶⩼⫲AA","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1057","layer":2},{"info":"number node, value=7161","layer":2},{"info":"compute binary expreesion, left_input=1057, right_input=7161, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-3371916","layer":1},{"info":"number node, value=2614","layer":2},{"info":"number node, value=7920","layer":2},{"info":"compute binary expreesion, left_input=2614, right_input=7920, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=5104","layer":1},{"info":"compute binary expreesion, left_input=-3371916, right_input=5104, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲4A7⨽⫶⩼⫲21C6⨵⪆⫶⩼⫲B94⪘⫢⫶⩼⫲2530=⫶⩼⫲AA","reverse_text":"⫶⩼⫲AA=⫶⩼⫲4A7⨽⫶⩼⫲21C6⨵⪆⫶⩼⫲B94⪘⫢⫶⩼⫲2530","cot":[{"info":"⫶⩼⫲4A7⨽⫶⩼⫲21C6=⫶⩼⫲-469146","layer":1},{"info":"⫶⩼⫲B94⪘⫢⫶⩼⫲2530=⫶⩼⫲17A4","layer":1},{"info":"⫶⩼⫲-469146⨵⪆⫶⩼⫲17A4=⫶⩼⫲AA","layer":0}]}
{"id":368,"expression_no_base_symbol":"$1472$⨟⋌⩍$2153$*($5413$⨸⪁$2694$)","expression":"⫶⩼⫲682⨟⋌⩍⫶⩼⫲988*(⫶⩼⫲190D⨸⪁⫶⩼⫲BE9)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5,"operation_count":3,"complexity_ratio":1.6666666666666667,"tree":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1472,"base":15},"right_expr":{"type":"numeric_atoms","value":2153,"base":15}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":5413,"base":15},"right_expr":{"type":"numeric_atoms","value":2694,"base":15}}},"used_operators":["9HNa5Wba9A","rGHVDoGpnC","g55IO6H4Gj"],"dependent_operators":["W4YGzv6Whe","Tcnh7f0tEr","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1472","layer":2},{"info":"number node, value=2153","layer":2},{"info":"compute binary expreesion, left_input=1472, right_input=2153, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=5413","layer":2},{"info":"number node, value=2694","layer":2},{"info":"compute binary expreesion, left_input=5413, right_input=2694, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=16214","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=16214, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲682⨟⋌⩍⫶⩼⫲988*(⫶⩼⫲190D⨸⪁⫶⩼⫲BE9)=NaN","reverse_text":"NaN=⫶⩼⫲682⨟⋌⩍⫶⩼⫲988*(⫶⩼⫲190D⨸⪁⫶⩼⫲BE9)","cot":[{"info":"⫶⩼⫲682⨟⋌⩍⫶⩼⫲988=NaN","layer":1},{"info":"⫶⩼⫲190D⨸⪁⫶⩼⫲BE9=⫶⩼⫲4C0E","layer":1},{"info":"NaN*⫶⩼⫲4C0E=NaN","layer":0}]}
{"id":369,"expression_no_base_symbol":"($3418$⩨$2103$)⇋≉","expression":"(⫶⩼⫲102D⩨⫶⩼⫲953)⇋≉","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":7,"operation_count":2,"complexity_ratio":3.5,"tree":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":3418,"base":15},"right_expr":{"type":"numeric_atoms","value":2103,"base":15}}},"used_operators":["XIabStNQrY","2DlMacCsIx"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"⫶⩼⫲-68","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=3418","layer":2},{"info":"number node, value=2103","layer":2},{"info":"compute binary expreesion, left_input=3418, right_input=2103, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=-98","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲102D⩨⫶⩼⫲953)⇋≉=⫶⩼⫲-68","reverse_text":"⫶⩼⫲-68=(⫶⩼⫲102D⩨⫶⩼⫲953)⇋≉","cot":[{"info":"⫶⩼⫲102D⩨⫶⩼⫲953=⫶⩼⫲0","layer":1},{"info":"⫶⩼⫲0⇋≉=⫶⩼⫲-68","layer":0}]}
{"id":370,"expression_no_base_symbol":"($1123$⨽$3152$)∼(↽≂$2594$)","expression":"(⫶⩼⫲4ED⨽⫶⩼⫲E02)∼(↽≂⫶⩼⫲B7E)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":75480,"operation_count":3,"complexity_ratio":25160.0,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1123,"base":15},"right_expr":{"type":"numeric_atoms","value":3152,"base":15}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":2594,"base":15}}},"used_operators":["DyGG3AbaNP","8HhzD0ZcuI","u6S6b8DprG"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1123","layer":2},{"info":"number node, value=3152","layer":2},{"info":"compute binary expreesion, left_input=1123, right_input=3152, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-3791529","layer":1},{"info":"number node, value=2594","layer":2},{"info":"compute unary expreesion, input=2594, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-5188","layer":1},{"info":"compute binary expreesion, left_input=-3791529, right_input=-5188, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲4ED⨽⫶⩼⫲E02)∼(↽≂⫶⩼⫲B7E)=NaN","reverse_text":"NaN=(⫶⩼⫲4ED⨽⫶⩼⫲E02)∼(↽≂⫶⩼⫲B7E)","cot":[{"info":"⫶⩼⫲4ED⨽⫶⩼⫲E02=⫶⩼⫲-4ED639","layer":1},{"info":"↽≂⫶⩼⫲B7E=⫶⩼⫲-180D","layer":1},{"info":"⫶⩼⫲-4ED639∼⫶⩼⫲-180D=NaN","layer":0}]}
{"id":371,"expression_no_base_symbol":"($2229$∑⇟⊟$3341$)⪢(≦∁$6029$)","expression":"(⫶⩼⫲9D9∑⇟⊟⫶⩼⫲ECB)⪢(≦∁⫶⩼⫲1BBE)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6031,"operation_count":3,"complexity_ratio":2010.3333333333333,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":2229,"base":15},"right_expr":{"type":"numeric_atoms","value":3341,"base":15}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":6029,"base":15}}},"used_operators":["dWAJyo7jo9","U7g4x0WXJJ","9ICcGScMcE"],"dependent_operators":["k8jYdgA6NY","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=2229","layer":2},{"info":"number node, value=3341","layer":2},{"info":"compute binary expreesion, left_input=2229, right_input=3341, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=6029","layer":2},{"info":"compute unary expreesion, input=6029, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=6029","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=6029, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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":15,"result_base":15,"text":"(⫶⩼⫲9D9∑⇟⊟⫶⩼⫲ECB)⪢(≦∁⫶⩼⫲1BBE)=NaN","reverse_text":"NaN=(⫶⩼⫲9D9∑⇟⊟⫶⩼⫲ECB)⪢(≦∁⫶⩼⫲1BBE)","cot":[{"info":"⫶⩼⫲9D9∑⇟⊟⫶⩼⫲ECB=NaN","layer":1},{"info":"≦∁⫶⩼⫲1BBE=⫶⩼⫲1BBE","layer":1},{"info":"NaN⪢⫶⩼⫲1BBE=NaN","layer":0}]}
{"id":372,"expression_no_base_symbol":"($4735$⪘⫢$2562$)⊴($2377$⋓$1523$)","expression":"(⫶⩼⫲160A⪘⫢⫶⩼⫲B5C)⊴(⫶⩼⫲A87⋓⫶⩼⫲6B8)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":35,"operation_count":3,"complexity_ratio":11.666666666666666,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":4735,"base":15},"right_expr":{"type":"numeric_atoms","value":2562,"base":15}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2377,"base":15},"right_expr":{"type":"numeric_atoms","value":1523,"base":15}}},"used_operators":["Nsiff2A1zJ","oacrs7FA3X","T2fj7uvVaJ"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"⫶⩼⫲-54","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=4735","layer":2},{"info":"number node, value=2562","layer":2},{"info":"compute binary expreesion, left_input=4735, right_input=2562, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=9346","layer":1},{"info":"number node, value=2377","layer":2},{"info":"number node, value=1523","layer":2},{"info":"compute binary expreesion, left_input=2377, 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=9346, right_input=0, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=-79","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲160A⪘⫢⫶⩼⫲B5C)⊴(⫶⩼⫲A87⋓⫶⩼⫲6B8)=⫶⩼⫲-54","reverse_text":"⫶⩼⫲-54=(⫶⩼⫲160A⪘⫢⫶⩼⫲B5C)⊴(⫶⩼⫲A87⋓⫶⩼⫲6B8)","cot":[{"info":"⫶⩼⫲160A⪘⫢⫶⩼⫲B5C=⫶⩼⫲2B81","layer":1},{"info":"⫶⩼⫲A87⋓⫶⩼⫲6B8=⫶⩼⫲0","layer":1},{"info":"⫶⩼⫲2B81⊴⫶⩼⫲0=⫶⩼⫲-54","layer":0}]}
{"id":373,"expression_no_base_symbol":"(↥$6158$)⨎$7857$⪢$4085$","expression":"(↥⫶⩼⫲1C58)⨎⫶⩼⫲24DC⪢⫶⩼⫲1325","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7554,"operation_count":3,"complexity_ratio":2518.0,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":6158,"base":15}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":7857,"base":15},"right_expr":{"type":"numeric_atoms","value":4085,"base":15}}},"used_operators":["rJVOvQCfKK","A8NUZmVepG","dWAJyo7jo9"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","k8jYdgA6NY","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=6158","layer":2},{"info":"compute unary expreesion, input=6158, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=38","layer":1},{"info":"number node, value=7857","layer":2},{"info":"number node, value=4085","layer":2},{"info":"compute binary expreesion, left_input=7857, right_input=4085, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=38, 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":15,"result_base":15,"text":"(↥⫶⩼⫲1C58)⨎⫶⩼⫲24DC⪢⫶⩼⫲1325=NaN","reverse_text":"NaN=(↥⫶⩼⫲1C58)⨎⫶⩼⫲24DC⪢⫶⩼⫲1325","cot":[{"info":"↥⫶⩼⫲1C58=⫶⩼⫲28","layer":1},{"info":"⫶⩼⫲24DC⪢⫶⩼⫲1325=NaN","layer":1},{"info":"⫶⩼⫲28⨎NaN=NaN","layer":0}]}
{"id":374,"expression_no_base_symbol":"⪲⇎($1527$%$2257$)","expression":"⪲⇎(⫶⩼⫲6BC%⫶⩼⫲A07)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3,"operation_count":2,"complexity_ratio":1.5,"tree":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1527,"base":15},"right_expr":{"type":"numeric_atoms","value":2257,"base":15}}},"used_operators":["XPYlsWDdGa","k8jYdgA6NY"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"⫶⩼⫲D89","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1527","layer":2},{"info":"number node, value=2257","layer":2},{"info":"compute binary expreesion, left_input=1527, right_input=2257, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1527","layer":1},{"info":"compute unary expreesion, input=1527, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=3054","layer":0}],"base":15,"result_base":15,"text":"⪲⇎(⫶⩼⫲6BC%⫶⩼⫲A07)=⫶⩼⫲D89","reverse_text":"⫶⩼⫲D89=⪲⇎(⫶⩼⫲6BC%⫶⩼⫲A07)","cot":[{"info":"⫶⩼⫲6BC%⫶⩼⫲A07=⫶⩼⫲6BC","layer":1},{"info":"⪲⇎⫶⩼⫲6BC=⫶⩼⫲D89","layer":0}]}
{"id":375,"expression_no_base_symbol":"(↽≂$6335$)⨽$8121$⋓$1237$","expression":"(↽≂⫶⩼⫲1D25)⨽⫶⩼⫲2616⋓⫶⩼⫲577","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":12695,"operation_count":3,"complexity_ratio":4231.666666666667,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":6335,"base":15}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":8121,"base":15},"right_expr":{"type":"numeric_atoms","value":1237,"base":15}}},"used_operators":["8HhzD0ZcuI","u6S6b8DprG","T2fj7uvVaJ"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"⫶⩼⫲-2C42BE76","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=6335","layer":2},{"info":"compute unary expreesion, input=6335, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-12670","layer":1},{"info":"number node, value=8121","layer":2},{"info":"number node, value=1237","layer":2},{"info":"compute binary expreesion, left_input=8121, right_input=1237, op_id = T2fj7uvVaJ binary_op_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=-12670, right_input=0, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-481585386","layer":0}],"base":15,"result_base":15,"text":"(↽≂⫶⩼⫲1D25)⨽⫶⩼⫲2616⋓⫶⩼⫲577=⫶⩼⫲-2C42BE76","reverse_text":"⫶⩼⫲-2C42BE76=(↽≂⫶⩼⫲1D25)⨽⫶⩼⫲2616⋓⫶⩼⫲577","cot":[{"info":"↽≂⫶⩼⫲1D25=⫶⩼⫲-3B4A","layer":1},{"info":"⫶⩼⫲2616⋓⫶⩼⫲577=⫶⩼⫲0","layer":1},{"info":"⫶⩼⫲-3B4A⨽⫶⩼⫲0=⫶⩼⫲-2C42BE76","layer":0}]}
{"id":376,"expression_no_base_symbol":"($2754$⨸⪁$3805$)⨎($1489$⨳⩥⨓$1216$)","expression":"(⫶⩼⫲C39⨸⪁⫶⩼⫲11DA)⨎(⫶⩼⫲694⨳⩥⨓⫶⩼⫲561)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7,"operation_count":3,"complexity_ratio":2.3333333333333335,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2754,"base":15},"right_expr":{"type":"numeric_atoms","value":3805,"base":15}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1489,"base":15},"right_expr":{"type":"numeric_atoms","value":1216,"base":15}}},"used_operators":["rJVOvQCfKK","g55IO6H4Gj","nCS4ZIUYfx"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z"],"result":"⫶⩼⫲-133","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2754","layer":2},{"info":"number node, value=3805","layer":2},{"info":"compute binary expreesion, left_input=2754, right_input=3805, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=13118","layer":1},{"info":"number node, value=1489","layer":2},{"info":"number node, value=1216","layer":2},{"info":"compute binary expreesion, left_input=1489, right_input=1216, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-273","layer":1},{"info":"compute binary expreesion, left_input=13118, right_input=-273, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-273","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲C39⨸⪁⫶⩼⫲11DA)⨎(⫶⩼⫲694⨳⩥⨓⫶⩼⫲561)=⫶⩼⫲-133","reverse_text":"⫶⩼⫲-133=(⫶⩼⫲C39⨸⪁⫶⩼⫲11DA)⨎(⫶⩼⫲694⨳⩥⨓⫶⩼⫲561)","cot":[{"info":"⫶⩼⫲C39⨸⪁⫶⩼⫲11DA=⫶⩼⫲3D48","layer":1},{"info":"⫶⩼⫲694⨳⩥⨓⫶⩼⫲561=⫶⩼⫲-133","layer":1},{"info":"⫶⩼⫲3D48⨎⫶⩼⫲-133=⫶⩼⫲-133","layer":0}]}
{"id":377,"expression_no_base_symbol":"$5848$⪄$7066$⪨≂(⨵≀≌$3731$)","expression":"⫶⩼⫲1AED⪄⫶⩼⫲2161⪨≂(⨵≀≌⫶⩼⫲118B)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":103,"operation_count":3,"complexity_ratio":34.333333333333336,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":5848,"base":15},"right_expr":{"type":"numeric_atoms","value":7066,"base":15}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":3731,"base":15}}},"used_operators":["sdazOOVcIp","SUmda5xLS4","srAu1WTS94"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A"],"result":"⫶⩼⫲-24A9D6","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=5848","layer":2},{"info":"number node, value=7066","layer":2},{"info":"compute binary expreesion, left_input=5848, right_input=7066, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-889857","layer":1},{"info":"number node, value=3731","layer":2},{"info":"compute unary expreesion, input=3731, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-11193","layer":1},{"info":"compute binary expreesion, left_input=-889857, right_input=-11193, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-1757226","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲1AED⪄⫶⩼⫲2161⪨≂(⨵≀≌⫶⩼⫲118B)=⫶⩼⫲-24A9D6","reverse_text":"⫶⩼⫲-24A9D6=⫶⩼⫲1AED⪄⫶⩼⫲2161⪨≂(⨵≀≌⫶⩼⫲118B)","cot":[{"info":"⫶⩼⫲1AED⪄⫶⩼⫲2161=⫶⩼⫲-1289DC","layer":1},{"info":"⨵≀≌⫶⩼⫲118B=⫶⩼⫲-34B3","layer":1},{"info":"⫶⩼⫲-1289DC⪨≂⫶⩼⫲-34B3=⫶⩼⫲-24A9D6","layer":0}]}
{"id":378,"expression_no_base_symbol":"($6644$⨓$7250$)⪢($4043$%$1532$)","expression":"(⫶⩼⫲1E7E⨓⫶⩼⫲2235)⪢(⫶⩼⫲12E8%⫶⩼⫲6C2)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":19324,"operation_count":3,"complexity_ratio":6441.333333333333,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":6644,"base":15},"right_expr":{"type":"numeric_atoms","value":7250,"base":15}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":4043,"base":15},"right_expr":{"type":"numeric_atoms","value":1532,"base":15}}},"used_operators":["dWAJyo7jo9","3ViojmjbAp","k8jYdgA6NY"],"dependent_operators":["k8jYdgA6NY","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=6644","layer":2},{"info":"number node, value=7250","layer":2},{"info":"compute binary expreesion, left_input=6644, right_input=7250, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-7253","layer":1},{"info":"number node, value=4043","layer":2},{"info":"number node, value=1532","layer":2},{"info":"compute binary expreesion, left_input=4043, right_input=1532, op_id = k8jYdgA6NY binary_op_definition= 'None', output=979","layer":1},{"info":"compute binary expreesion, left_input=-7253, right_input=979, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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":15,"result_base":15,"text":"(⫶⩼⫲1E7E⨓⫶⩼⫲2235)⪢(⫶⩼⫲12E8%⫶⩼⫲6C2)=NaN","reverse_text":"NaN=(⫶⩼⫲1E7E⨓⫶⩼⫲2235)⪢(⫶⩼⫲12E8%⫶⩼⫲6C2)","cot":[{"info":"⫶⩼⫲1E7E⨓⫶⩼⫲2235=⫶⩼⫲-2238","layer":1},{"info":"⫶⩼⫲12E8%⫶⩼⫲6C2=⫶⩼⫲454","layer":1},{"info":"⫶⩼⫲-2238⪢⫶⩼⫲454=NaN","layer":0}]}
{"id":379,"expression_no_base_symbol":"⫛⫱⨽($3803$+$3311$)","expression":"⫛⫱⨽(⫶⩼⫲11D8+⫶⩼⫲EAB)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1423,"operation_count":2,"complexity_ratio":711.5,"tree":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":3803,"base":15},"right_expr":{"type":"numeric_atoms","value":3311,"base":15}}},"used_operators":["DlLNRPXxWL","W4YGzv6Whe"],"dependent_operators":["rGHVDoGpnC"],"result":"⫶⩼⫲0","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=3803","layer":2},{"info":"number node, value=3311","layer":2},{"info":"compute binary expreesion, left_input=3803, right_input=3311, op_id = W4YGzv6Whe binary_op_definition= 'None', output=7114","layer":1},{"info":"compute unary expreesion, input=7114, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":0}],"base":15,"result_base":15,"text":"⫛⫱⨽(⫶⩼⫲11D8+⫶⩼⫲EAB)=⫶⩼⫲0","reverse_text":"⫶⩼⫲0=⫛⫱⨽(⫶⩼⫲11D8+⫶⩼⫲EAB)","cot":[{"info":"⫶⩼⫲11D8+⫶⩼⫲EAB=⫶⩼⫲2194","layer":1},{"info":"⫛⫱⨽⫶⩼⫲2194=⫶⩼⫲0","layer":0}]}
{"id":380,"expression_no_base_symbol":"↥$1035$⩚⊴⇥$2311$","expression":"↥⫶⩼⫲490⩚⊴⇥⫶⩼⫲A41","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":70,"operation_count":2,"complexity_ratio":35.0,"tree":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1035,"base":15},"right_expr":{"type":"numeric_atoms","value":2311,"base":15}}},"used_operators":["A8NUZmVepG","NTOWxs364D"],"dependent_operators":["k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"⫶⩼⫲1","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1035","layer":2},{"info":"number node, value=2311","layer":2},{"info":"compute binary expreesion, left_input=1035, right_input=2311, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3467","layer":1},{"info":"compute unary expreesion, input=-3467, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=1","layer":0}],"base":15,"result_base":15,"text":"↥⫶⩼⫲490⩚⊴⇥⫶⩼⫲A41=⫶⩼⫲1","reverse_text":"⫶⩼⫲1=↥⫶⩼⫲490⩚⊴⇥⫶⩼⫲A41","cot":[{"info":"⫶⩼⫲490⩚⊴⇥⫶⩼⫲A41=⫶⩼⫲-1062","layer":1},{"info":"↥⫶⩼⫲-1062=⫶⩼⫲1","layer":0}]}
{"id":381,"expression_no_base_symbol":"($1599$+$4888$)⇼⇔∾$4343$⋓$5990$","expression":"(⫶⩼⫲719+⫶⩼⫲16AD)⇼⇔∾⫶⩼⫲1448⋓⫶⩼⫲1B95","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":16,"operation_count":3,"complexity_ratio":5.333333333333333,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1599,"base":15},"right_expr":{"type":"numeric_atoms","value":4888,"base":15}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":4343,"base":15},"right_expr":{"type":"numeric_atoms","value":5990,"base":15}}},"used_operators":["tifHPKVTfV","W4YGzv6Whe","T2fj7uvVaJ"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"⫶⩼⫲-1DC7","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1599","layer":2},{"info":"number node, value=4888","layer":2},{"info":"compute binary expreesion, left_input=1599, right_input=4888, op_id = W4YGzv6Whe binary_op_definition= 'None', output=6487","layer":1},{"info":"number node, value=4343","layer":2},{"info":"number node, value=5990","layer":2},{"info":"compute binary expreesion, left_input=4343, right_input=5990, op_id = T2fj7uvVaJ binary_op_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=6487, right_input=0, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-6487","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲719+⫶⩼⫲16AD)⇼⇔∾⫶⩼⫲1448⋓⫶⩼⫲1B95=⫶⩼⫲-1DC7","reverse_text":"⫶⩼⫲-1DC7=(⫶⩼⫲719+⫶⩼⫲16AD)⇼⇔∾⫶⩼⫲1448⋓⫶⩼⫲1B95","cot":[{"info":"⫶⩼⫲719+⫶⩼⫲16AD=⫶⩼⫲1DC7","layer":1},{"info":"⫶⩼⫲1448⋓⫶⩼⫲1B95=⫶⩼⫲0","layer":1},{"info":"⫶⩼⫲1DC7⇼⇔∾⫶⩼⫲0=⫶⩼⫲-1DC7","layer":0}]}
{"id":382,"expression_no_base_symbol":"($2814$/$2615$)⨎($3618$↙$1448$)","expression":"(⫶⩼⫲C79/⫶⩼⫲B95)⨎(⫶⩼⫲1113↙⫶⩼⫲668)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1453,"operation_count":3,"complexity_ratio":484.3333333333333,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2814,"base":15},"right_expr":{"type":"numeric_atoms","value":2615,"base":15}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":3618,"base":15},"right_expr":{"type":"numeric_atoms","value":1448,"base":15}}},"used_operators":["rJVOvQCfKK","XhwjNDsVaA","yyfyN0ffXY"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","tmPS8pqC7x","DpFCA1CohY"],"result":"⫶⩼⫲-1449","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2814","layer":2},{"info":"number node, value=2615","layer":2},{"info":"compute binary expreesion, left_input=2814, right_input=2615, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":1},{"info":"number node, value=3618","layer":2},{"info":"number node, value=1448","layer":2},{"info":"compute binary expreesion, left_input=3618, right_input=1448, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-4344","layer":1},{"info":"compute binary expreesion, left_input=1, right_input=-4344, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-4344","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲C79/⫶⩼⫲B95)⨎(⫶⩼⫲1113↙⫶⩼⫲668)=⫶⩼⫲-1449","reverse_text":"⫶⩼⫲-1449=(⫶⩼⫲C79/⫶⩼⫲B95)⨎(⫶⩼⫲1113↙⫶⩼⫲668)","cot":[{"info":"⫶⩼⫲C79/⫶⩼⫲B95=⫶⩼⫲1","layer":1},{"info":"⫶⩼⫲1113↙⫶⩼⫲668=⫶⩼⫲-1449","layer":1},{"info":"⫶⩼⫲1⨎⫶⩼⫲-1449=⫶⩼⫲-1449","layer":0}]}
{"id":383,"expression_no_base_symbol":"⇁⨣⪵($1132$⇼⇔∾$1914$)","expression":"⇁⨣⪵(⫶⩼⫲507⇼⇔∾⫶⩼⫲879)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3,"operation_count":2,"complexity_ratio":1.5,"tree":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1132,"base":15},"right_expr":{"type":"numeric_atoms","value":1914,"base":15}}},"used_operators":["inkyxCbjAn","tifHPKVTfV"],"dependent_operators":["B5M0gjZbta","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1132","layer":2},{"info":"number node, value=1914","layer":2},{"info":"compute binary expreesion, left_input=1132, right_input=1914, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=782","layer":1},{"info":"compute unary expreesion, input=782, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"⇁⨣⪵(⫶⩼⫲507⇼⇔∾⫶⩼⫲879)=NaN","reverse_text":"NaN=⇁⨣⪵(⫶⩼⫲507⇼⇔∾⫶⩼⫲879)","cot":[{"info":"⫶⩼⫲507⇼⇔∾⫶⩼⫲879=⫶⩼⫲372","layer":1},{"info":"⇁⨣⪵⫶⩼⫲372=NaN","layer":0}]}
{"id":384,"expression_no_base_symbol":"$1482$⨳⩥⨓$2213$⇼⇔∾(⊙↵-$5042$)","expression":"⫶⩼⫲68C⨳⩥⨓⫶⩼⫲9C8⇼⇔∾(⊙↵-⫶⩼⫲1762)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5093,"operation_count":3,"complexity_ratio":1697.6666666666667,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1482,"base":15},"right_expr":{"type":"numeric_atoms","value":2213,"base":15}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":5042,"base":15}}},"used_operators":["tifHPKVTfV","nCS4ZIUYfx","oWn0xqSxBt"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X"],"result":"⫶⩼⫲-33C","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1482","layer":2},{"info":"number node, value=2213","layer":2},{"info":"compute binary expreesion, left_input=1482, right_input=2213, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=731","layer":1},{"info":"number node, value=5042","layer":2},{"info":"compute unary expreesion, input=5042, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":1},{"info":"compute binary expreesion, left_input=731, right_input=-1, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-732","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲68C⨳⩥⨓⫶⩼⫲9C8⇼⇔∾(⊙↵-⫶⩼⫲1762)=⫶⩼⫲-33C","reverse_text":"⫶⩼⫲-33C=⫶⩼⫲68C⨳⩥⨓⫶⩼⫲9C8⇼⇔∾(⊙↵-⫶⩼⫲1762)","cot":[{"info":"⫶⩼⫲68C⨳⩥⨓⫶⩼⫲9C8=⫶⩼⫲33B","layer":1},{"info":"⊙↵-⫶⩼⫲1762=⫶⩼⫲-1","layer":1},{"info":"⫶⩼⫲33B⇼⇔∾⫶⩼⫲-1=⫶⩼⫲-33C","layer":0}]}
{"id":385,"expression_no_base_symbol":"⋗⩬⋾($5272$-$2799$)","expression":"⋗⩬⋾(⫶⩼⫲1867-⫶⩼⫲C69)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4,"operation_count":2,"complexity_ratio":2.0,"tree":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":5272,"base":15},"right_expr":{"type":"numeric_atoms","value":2799,"base":15}}},"used_operators":["DpFCA1CohY","rysDP5nf3Z"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫶⩼⫲-22E9","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=5272","layer":2},{"info":"number node, value=2799","layer":2},{"info":"compute binary expreesion, left_input=5272, right_input=2799, op_id = rysDP5nf3Z binary_op_definition= 'None', output=2473","layer":1},{"info":"compute unary expreesion, input=2473, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-7419","layer":0}],"base":15,"result_base":15,"text":"⋗⩬⋾(⫶⩼⫲1867-⫶⩼⫲C69)=⫶⩼⫲-22E9","reverse_text":"⫶⩼⫲-22E9=⋗⩬⋾(⫶⩼⫲1867-⫶⩼⫲C69)","cot":[{"info":"⫶⩼⫲1867-⫶⩼⫲C69=⫶⩼⫲AED","layer":1},{"info":"⋗⩬⋾⫶⩼⫲AED=⫶⩼⫲-22E9","layer":0}]}
{"id":386,"expression_no_base_symbol":"$1799$⋥≓≎$1106$+$1695$⊉≛↸$1069$","expression":"⫶⩼⫲7EE⋥≓≎⫶⩼⫲4DB+⫶⩼⫲780⊉≛↸⫶⩼⫲4B4","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7,"operation_count":3,"complexity_ratio":2.3333333333333335,"tree":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1799,"base":15},"right_expr":{"type":"numeric_atoms","value":1106,"base":15}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1695,"base":15},"right_expr":{"type":"numeric_atoms","value":1069,"base":15}}},"used_operators":["W4YGzv6Whe","Qy55tPpLXF","DZ8iAZOCBD"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫶⩼⫲120B","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1799","layer":2},{"info":"number node, value=1106","layer":2},{"info":"compute binary expreesion, left_input=1799, right_input=1106, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=446","layer":1},{"info":"number node, value=1695","layer":2},{"info":"number node, value=1069","layer":2},{"info":"compute binary expreesion, left_input=1695, right_input=1069, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3390","layer":1},{"info":"compute binary expreesion, left_input=446, right_input=3390, op_id = W4YGzv6Whe binary_op_definition= 'None', output=3836","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲7EE⋥≓≎⫶⩼⫲4DB+⫶⩼⫲780⊉≛↸⫶⩼⫲4B4=⫶⩼⫲120B","reverse_text":"⫶⩼⫲120B=⫶⩼⫲7EE⋥≓≎⫶⩼⫲4DB+⫶⩼⫲780⊉≛↸⫶⩼⫲4B4","cot":[{"info":"⫶⩼⫲7EE⋥≓≎⫶⩼⫲4DB=⫶⩼⫲1EB","layer":1},{"info":"⫶⩼⫲780⊉≛↸⫶⩼⫲4B4=⫶⩼⫲1010","layer":1},{"info":"⫶⩼⫲1EB+⫶⩼⫲1010=⫶⩼⫲120B","layer":0}]}
{"id":387,"expression_no_base_symbol":"(⪲⇎$1085$)⫸⊐(⊥$5896$)","expression":"(⪲⇎⫶⩼⫲4C5)⫸⊐(⊥⫶⩼⫲1B31)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":25,"operation_count":3,"complexity_ratio":8.333333333333334,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1085,"base":15}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":5896,"base":15}}},"used_operators":["mqXw5SEYmG","XPYlsWDdGa","Q3PJZHRvZv"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","fu6greOZ01"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1085","layer":2},{"info":"compute unary expreesion, input=1085, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=2170","layer":1},{"info":"number node, value=5896","layer":2},{"info":"compute unary expreesion, input=5896, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=2170, 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":15,"result_base":15,"text":"(⪲⇎⫶⩼⫲4C5)⫸⊐(⊥⫶⩼⫲1B31)=NaN","reverse_text":"NaN=(⪲⇎⫶⩼⫲4C5)⫸⊐(⊥⫶⩼⫲1B31)","cot":[{"info":"⪲⇎⫶⩼⫲4C5=⫶⩼⫲99A","layer":1},{"info":"⊥⫶⩼⫲1B31=NaN","layer":1},{"info":"⫶⩼⫲99A⫸⊐NaN=NaN","layer":0}]}
{"id":388,"expression_no_base_symbol":"($1027$≋⫹)⋝⋈⪟($5410$⋫)","expression":"(⫶⩼⫲487≋⫹)⋝⋈⪟(⫶⩼⫲190A⋫)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5416,"operation_count":3,"complexity_ratio":1805.3333333333333,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":1027,"base":15}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":5410,"base":15}}},"used_operators":["2DDjHMKMc0","N41Kp7NANJ","JL8yIekQnl"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x"],"result":"⫶⩼⫲-91E","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1027","layer":2},{"info":"compute unary expreesion, input=1027, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-2054","layer":1},{"info":"number node, value=5410","layer":2},{"info":"compute unary expreesion, input=5410, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=5410","layer":1},{"info":"compute binary expreesion, left_input=-2054, right_input=5410, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-2054","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲487≋⫹)⋝⋈⪟(⫶⩼⫲190A⋫)=⫶⩼⫲-91E","reverse_text":"⫶⩼⫲-91E=(⫶⩼⫲487≋⫹)⋝⋈⪟(⫶⩼⫲190A⋫)","cot":[{"info":"⫶⩼⫲487≋⫹=⫶⩼⫲-91E","layer":1},{"info":"⫶⩼⫲190A⋫=⫶⩼⫲190A","layer":1},{"info":"⫶⩼⫲-91E⋝⋈⪟⫶⩼⫲190A=⫶⩼⫲-91E","layer":0}]}
{"id":389,"expression_no_base_symbol":"(⪝⪂⫅$3188$)↺$1933$⇷$6293$","expression":"(⪝⪂⫅⫶⩼⫲E28)↺⫶⩼⫲88D⇷⫶⩼⫲1CE8","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":27220,"operation_count":3,"complexity_ratio":9073.333333333334,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":3188,"base":15}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1933,"base":15},"right_expr":{"type":"numeric_atoms","value":6293,"base":15}}},"used_operators":["7j4O788W3g","XTarYq4gQB","mp7IySMOzn"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"⫶⩼⫲3AE1","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=3188","layer":2},{"info":"compute unary expreesion, input=3188, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-468636","layer":1},{"info":"number node, value=1933","layer":2},{"info":"number node, value=6293","layer":2},{"info":"compute binary expreesion, left_input=1933, right_input=6293, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=12586","layer":1},{"info":"compute binary expreesion, left_input=-468636, right_input=12586, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=12586","layer":0}],"base":15,"result_base":15,"text":"(⪝⪂⫅⫶⩼⫲E28)↺⫶⩼⫲88D⇷⫶⩼⫲1CE8=⫶⩼⫲3AE1","reverse_text":"⫶⩼⫲3AE1=(⪝⪂⫅⫶⩼⫲E28)↺⫶⩼⫲88D⇷⫶⩼⫲1CE8","cot":[{"info":"⪝⪂⫅⫶⩼⫲E28=⫶⩼⫲-93CC6","layer":1},{"info":"⫶⩼⫲88D⇷⫶⩼⫲1CE8=⫶⩼⫲3AE1","layer":1},{"info":"⫶⩼⫲-93CC6↺⫶⩼⫲3AE1=⫶⩼⫲3AE1","layer":0}]}
{"id":390,"expression_no_base_symbol":"↔($3481$↪⪝)","expression":"↔(⫶⩼⫲1071↪⪝)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":707,"operation_count":2,"complexity_ratio":353.5,"tree":{"type":"unary","operator":"↔","unary_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":3481,"base":15}}},"used_operators":["ruOEQAzv1W","l07mrZUIn9"],"dependent_operators":["XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","9HNa5Wba9A","2DDjHMKMc0"],"result":"⫶⩼⫲-13A6D749","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=3481","layer":2},{"info":"compute unary expreesion, input=3481, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=212974542","layer":1},{"info":"compute unary expreesion, input=212974542, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-212974269","layer":0}],"base":15,"result_base":15,"text":"↔(⫶⩼⫲1071↪⪝)=⫶⩼⫲-13A6D749","reverse_text":"⫶⩼⫲-13A6D749=↔(⫶⩼⫲1071↪⪝)","cot":[{"info":"⫶⩼⫲1071↪⪝=⫶⩼⫲13A6D87C","layer":1},{"info":"↔⫶⩼⫲13A6D87C=⫶⩼⫲-13A6D749","layer":0}]}
{"id":391,"expression_no_base_symbol":"($6262$⫌⩹⨱)⪄($4169$⇼⇔∾$6478$)","expression":"(⫶⩼⫲1CC7⫌⩹⨱)⪄(⫶⩼⫲137E⇼⇔∾⫶⩼⫲1DBD)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":104,"operation_count":3,"complexity_ratio":34.666666666666664,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":6262,"base":15}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":4169,"base":15},"right_expr":{"type":"numeric_atoms","value":6478,"base":15}}},"used_operators":["SUmda5xLS4","EBcxylXtPf","tifHPKVTfV"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"⫶⩼⫲-2AC335","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=6262","layer":2},{"info":"compute unary expreesion, input=6262, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=13925","layer":1},{"info":"number node, value=4169","layer":2},{"info":"number node, value=6478","layer":2},{"info":"compute binary expreesion, left_input=4169, right_input=6478, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=2309","layer":1},{"info":"compute binary expreesion, left_input=13925, right_input=2309, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-2066225","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲1CC7⫌⩹⨱)⪄(⫶⩼⫲137E⇼⇔∾⫶⩼⫲1DBD)=⫶⩼⫲-2AC335","reverse_text":"⫶⩼⫲-2AC335=(⫶⩼⫲1CC7⫌⩹⨱)⪄(⫶⩼⫲137E⇼⇔∾⫶⩼⫲1DBD)","cot":[{"info":"⫶⩼⫲1CC7⫌⩹⨱=⫶⩼⫲41D5","layer":1},{"info":"⫶⩼⫲137E⇼⇔∾⫶⩼⫲1DBD=⫶⩼⫲A3E","layer":1},{"info":"⫶⩼⫲41D5⪄⫶⩼⫲A3E=⫶⩼⫲-2AC335","layer":0}]}
{"id":392,"expression_no_base_symbol":"⨰⫟⨤($1022$⇼⇔∾$8151$)","expression":"⨰⫟⨤(⫶⩼⫲482⇼⇔∾⫶⩼⫲2636)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":27678,"operation_count":2,"complexity_ratio":13839.0,"tree":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1022,"base":15},"right_expr":{"type":"numeric_atoms","value":8151,"base":15}}},"used_operators":["Tw270M8GLb","tifHPKVTfV"],"dependent_operators":["sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1022","layer":2},{"info":"number node, value=8151","layer":2},{"info":"compute binary expreesion, left_input=1022, right_input=8151, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=7129","layer":1},{"info":"compute unary expreesion, input=7129, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"⨰⫟⨤(⫶⩼⫲482⇼⇔∾⫶⩼⫲2636)=NaN","reverse_text":"NaN=⨰⫟⨤(⫶⩼⫲482⇼⇔∾⫶⩼⫲2636)","cot":[{"info":"⫶⩼⫲482⇼⇔∾⫶⩼⫲2636=⫶⩼⫲21A4","layer":1},{"info":"⨰⫟⨤⫶⩼⫲21A4=NaN","layer":0}]}
{"id":393,"expression_no_base_symbol":"$1400$⪢$2844$⫩⊇","expression":"⫶⩼⫲635⪢⫶⩼⫲C99⫩⊇","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2846,"operation_count":2,"complexity_ratio":1423.0,"tree":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1400,"base":15},"right_expr":{"type":"numeric_atoms","value":2844,"base":15}}},"used_operators":["BjRHVeLaeN","dWAJyo7jo9"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1400","layer":2},{"info":"number node, value=2844","layer":2},{"info":"compute binary expreesion, left_input=1400, right_input=2844, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲635⪢⫶⩼⫲C99⫩⊇=NaN","reverse_text":"NaN=⫶⩼⫲635⪢⫶⩼⫲C99⫩⊇","cot":[{"info":"⫶⩼⫲635⪢⫶⩼⫲C99=NaN","layer":1},{"info":"NaN⫩⊇=NaN","layer":0}]}
{"id":394,"expression_no_base_symbol":"($3225$⊭↱$6402$)⨪↰⇹($4758$⨽$5648$)","expression":"(⫶⩼⫲E50⊭↱⫶⩼⫲1D6C)⨪↰⇹(⫶⩼⫲1623⨽⫶⩼⫲1A18)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":11132,"operation_count":3,"complexity_ratio":3710.6666666666665,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":3225,"base":15},"right_expr":{"type":"numeric_atoms","value":6402,"base":15}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":4758,"base":15},"right_expr":{"type":"numeric_atoms","value":5648,"base":15}}},"used_operators":["tmPS8pqC7x","COABgblf1C","8HhzD0ZcuI"],"dependent_operators":["rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"⫶⩼⫲1D3E","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=3225","layer":2},{"info":"number node, value=6402","layer":2},{"info":"compute binary expreesion, left_input=3225, right_input=6402, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=6359","layer":1},{"info":"number node, value=4758","layer":2},{"info":"number node, value=5648","layer":2},{"info":"compute binary expreesion, left_input=4758, right_input=5648, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-67931322","layer":1},{"info":"compute binary expreesion, left_input=6359, right_input=-67931322, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=6359","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲E50⊭↱⫶⩼⫲1D6C)⨪↰⇹(⫶⩼⫲1623⨽⫶⩼⫲1A18)=⫶⩼⫲1D3E","reverse_text":"⫶⩼⫲1D3E=(⫶⩼⫲E50⊭↱⫶⩼⫲1D6C)⨪↰⇹(⫶⩼⫲1623⨽⫶⩼⫲1A18)","cot":[{"info":"⫶⩼⫲E50⊭↱⫶⩼⫲1D6C=⫶⩼⫲1D3E","layer":1},{"info":"⫶⩼⫲1623⨽⫶⩼⫲1A18=⫶⩼⫲-5E6CBEC","layer":1},{"info":"⫶⩼⫲1D3E⨪↰⇹⫶⩼⫲-5E6CBEC=⫶⩼⫲1D3E","layer":0}]}
{"id":395,"expression_no_base_symbol":"($1147$-$2388$)⫸⊐$2426$⪮%⊝$2445$","expression":"(⫶⩼⫲517-⫶⩼⫲A93)⫸⊐⫶⩼⫲ABB⪮%⊝⫶⩼⫲AD0","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":14,"operation_count":3,"complexity_ratio":4.666666666666667,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1147,"base":15},"right_expr":{"type":"numeric_atoms","value":2388,"base":15}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2426,"base":15},"right_expr":{"type":"numeric_atoms","value":2445,"base":15}}},"used_operators":["mqXw5SEYmG","rysDP5nf3Z","IWmyXbctLI"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"⫶⩼⫲448","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1147","layer":2},{"info":"number node, value=2388","layer":2},{"info":"compute binary expreesion, left_input=1147, right_input=2388, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-1241","layer":1},{"info":"number node, value=2426","layer":2},{"info":"number node, value=2445","layer":2},{"info":"compute binary expreesion, left_input=2426, right_input=2445, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=5168","layer":1},{"info":"compute binary expreesion, left_input=-1241, right_input=5168, 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":15,"result_base":15,"text":"(⫶⩼⫲517-⫶⩼⫲A93)⫸⊐⫶⩼⫲ABB⪮%⊝⫶⩼⫲AD0=⫶⩼⫲448","reverse_text":"⫶⩼⫲448=(⫶⩼⫲517-⫶⩼⫲A93)⫸⊐⫶⩼⫲ABB⪮%⊝⫶⩼⫲AD0","cot":[{"info":"⫶⩼⫲517-⫶⩼⫲A93=⫶⩼⫲-57B","layer":1},{"info":"⫶⩼⫲ABB⪮%⊝⫶⩼⫲AD0=⫶⩼⫲17E8","layer":1},{"info":"⫶⩼⫲-57B⫸⊐⫶⩼⫲17E8=⫶⩼⫲448","layer":0}]}
{"id":396,"expression_no_base_symbol":"($3274$⩠)⩠","expression":"(⫶⩼⫲E84⩠)⩠","highest_n_order":2,"priority_hierarchical_complexity":1,"normalized_expansion_degree":36,"operation_count":2,"complexity_ratio":18.0,"tree":{"type":"unary","operator":"⩠","unary_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":3274,"base":15}}},"used_operators":["sJAwomhLZr"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=3274","layer":2},{"info":"compute unary expreesion, input=3274, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲E84⩠)⩠=NaN","reverse_text":"NaN=(⫶⩼⫲E84⩠)⩠","cot":[{"info":"⫶⩼⫲E84⩠=⫶⩼⫲0","layer":1},{"info":"⫶⩼⫲0⩠=NaN","layer":0}]}
{"id":397,"expression_no_base_symbol":"$2998$↙$2298$⪨≂$5296$⨐⩸⫘$1451$","expression":"⫶⩼⫲D4D↙⫶⩼⫲A33⪨≂⫶⩼⫲1881⨐⩸⫘⫶⩼⫲66B","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2307,"operation_count":3,"complexity_ratio":769.0,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2998,"base":15},"right_expr":{"type":"numeric_atoms","value":2298,"base":15}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":5296,"base":15},"right_expr":{"type":"numeric_atoms","value":1451,"base":15}}},"used_operators":["sdazOOVcIp","yyfyN0ffXY","fu6greOZ01"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2998","layer":2},{"info":"number node, value=2298","layer":2},{"info":"compute binary expreesion, left_input=2998, right_input=2298, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-6894","layer":1},{"info":"number node, value=5296","layer":2},{"info":"number node, value=1451","layer":2},{"info":"compute binary expreesion, left_input=5296, right_input=1451, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=-6894, 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":15,"result_base":15,"text":"⫶⩼⫲D4D↙⫶⩼⫲A33⪨≂⫶⩼⫲1881⨐⩸⫘⫶⩼⫲66B=NaN","reverse_text":"NaN=⫶⩼⫲D4D↙⫶⩼⫲A33⪨≂⫶⩼⫲1881⨐⩸⫘⫶⩼⫲66B","cot":[{"info":"⫶⩼⫲D4D↙⫶⩼⫲A33=⫶⩼⫲-2099","layer":1},{"info":"⫶⩼⫲1881⨐⩸⫘⫶⩼⫲66B=NaN","layer":1},{"info":"⫶⩼⫲-2099⪨≂NaN=NaN","layer":0}]}
{"id":398,"expression_no_base_symbol":"($1631$⊠≄⫣)≣⋋","expression":"(⫶⩼⫲73B⊠≄⫣)≣⋋","highest_n_order":3,"priority_hierarchical_complexity":1,"normalized_expansion_degree":7,"operation_count":2,"complexity_ratio":3.5,"tree":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":1631,"base":15}}},"used_operators":["Tcnh7f0tEr","DIvbN7qnHd"],"dependent_operators":["dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd"],"result":"⫶⩼⫲0","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1631","layer":2},{"info":"compute unary expreesion, input=1631, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲73B⊠≄⫣)≣⋋=⫶⩼⫲0","reverse_text":"⫶⩼⫲0=(⫶⩼⫲73B⊠≄⫣)≣⋋","cot":[{"info":"⫶⩼⫲73B⊠≄⫣=⫶⩼⫲0","layer":1},{"info":"⫶⩼⫲0≣⋋=⫶⩼⫲0","layer":0}]}
{"id":399,"expression_no_base_symbol":"($2694$+⇶⊼$4695$)⋓($1055$⨰$2635$)","expression":"(⫶⩼⫲BE9+⇶⊼⫶⩼⫲15D0)⋓(⫶⩼⫲4A5⨰⫶⩼⫲BAA)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":20,"operation_count":3,"complexity_ratio":6.666666666666667,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2694,"base":15},"right_expr":{"type":"numeric_atoms","value":4695,"base":15}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1055,"base":15},"right_expr":{"type":"numeric_atoms","value":2635,"base":15}}},"used_operators":["T2fj7uvVaJ","TpPTUOHfaN","eewbuw0ToL"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫶⩼⫲0","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2694","layer":2},{"info":"number node, value=4695","layer":2},{"info":"compute binary expreesion, left_input=2694, right_input=4695, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=1055","layer":2},{"info":"number node, value=2635","layer":2},{"info":"compute binary expreesion, left_input=1055, right_input=2635, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-1570","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-1570, op_id = T2fj7uvVaJ binary_op_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":15,"result_base":15,"text":"(⫶⩼⫲BE9+⇶⊼⫶⩼⫲15D0)⋓(⫶⩼⫲4A5⨰⫶⩼⫲BAA)=⫶⩼⫲0","reverse_text":"⫶⩼⫲0=(⫶⩼⫲BE9+⇶⊼⫶⩼⫲15D0)⋓(⫶⩼⫲4A5⨰⫶⩼⫲BAA)","cot":[{"info":"⫶⩼⫲BE9+⇶⊼⫶⩼⫲15D0=NaN","layer":1},{"info":"⫶⩼⫲4A5⨰⫶⩼⫲BAA=⫶⩼⫲-6EA","layer":1},{"info":"NaN⋓⫶⩼⫲-6EA=⫶⩼⫲0","layer":0}]}
{"id":400,"expression_no_base_symbol":"($2415$⪐)⊭↱$1108$⋓$1844$","expression":"(⫶⩼⫲AB0⪐)⊭↱⫶⩼⫲4DD⋓⫶⩼⫲82E","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":21,"operation_count":3,"complexity_ratio":7.0,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":2415,"base":15}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1108,"base":15},"right_expr":{"type":"numeric_atoms","value":1844,"base":15}}},"used_operators":["COABgblf1C","eH2TOUuTDT","T2fj7uvVaJ"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"⫶⩼⫲-2CDA","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2415","layer":2},{"info":"compute unary expreesion, input=2415, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=4830","layer":1},{"info":"number node, value=1108","layer":2},{"info":"number node, value=1844","layer":2},{"info":"compute binary expreesion, left_input=1108, right_input=1844, op_id = T2fj7uvVaJ binary_op_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=4830, right_input=0, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-9655","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲AB0⪐)⊭↱⫶⩼⫲4DD⋓⫶⩼⫲82E=⫶⩼⫲-2CDA","reverse_text":"⫶⩼⫲-2CDA=(⫶⩼⫲AB0⪐)⊭↱⫶⩼⫲4DD⋓⫶⩼⫲82E","cot":[{"info":"⫶⩼⫲AB0⪐=⫶⩼⫲1670","layer":1},{"info":"⫶⩼⫲4DD⋓⫶⩼⫲82E=⫶⩼⫲0","layer":1},{"info":"⫶⩼⫲1670⊭↱⫶⩼⫲0=⫶⩼⫲-2CDA","layer":0}]}
{"id":401,"expression_no_base_symbol":"$1997$⩨$2251$⫡⨏$1198$≹⇙⪍$1698$","expression":"⫶⩼⫲8D2⩨⫶⩼⫲A01⫡⨏⫶⩼⫲54D≹⇙⪍⫶⩼⫲783","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":12,"operation_count":3,"complexity_ratio":4.0,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1997,"base":15},"right_expr":{"type":"numeric_atoms","value":2251,"base":15}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1198,"base":15},"right_expr":{"type":"numeric_atoms","value":1698,"base":15}}},"used_operators":["QMFrweE19q","2DlMacCsIx","AHs5Up7iyr"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1997","layer":2},{"info":"number node, value=2251","layer":2},{"info":"compute binary expreesion, left_input=1997, right_input=2251, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":1},{"info":"number node, value=1198","layer":2},{"info":"number node, value=1698","layer":2},{"info":"compute binary expreesion, left_input=1198, right_input=1698, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-3, right_input=nan, op_id = 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":15,"result_base":15,"text":"⫶⩼⫲8D2⩨⫶⩼⫲A01⫡⨏⫶⩼⫲54D≹⇙⪍⫶⩼⫲783=NaN","reverse_text":"NaN=⫶⩼⫲8D2⩨⫶⩼⫲A01⫡⨏⫶⩼⫲54D≹⇙⪍⫶⩼⫲783","cot":[{"info":"⫶⩼⫲8D2⩨⫶⩼⫲A01=⫶⩼⫲-3","layer":1},{"info":"⫶⩼⫲54D≹⇙⪍⫶⩼⫲783=NaN","layer":1},{"info":"⫶⩼⫲-3⫡⨏NaN=NaN","layer":0}]}
{"id":402,"expression_no_base_symbol":"($2129$⩤)⇼⇔∾($2424$⫌⩹⨱)","expression":"(⫶⩼⫲96E⩤)⇼⇔∾(⫶⩼⫲AB9⫌⩹⨱)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":10,"operation_count":3,"complexity_ratio":3.3333333333333335,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":2129,"base":15}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":2424,"base":15}}},"used_operators":["tifHPKVTfV","Z2TMIBDE3Q","EBcxylXtPf"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z"],"result":"⫶⩼⫲2738","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2129","layer":2},{"info":"compute unary expreesion, input=2129, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-2129","layer":1},{"info":"number node, value=2424","layer":2},{"info":"compute unary expreesion, input=2424, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=6249","layer":1},{"info":"compute binary expreesion, left_input=-2129, right_input=6249, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=8378","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲96E⩤)⇼⇔∾(⫶⩼⫲AB9⫌⩹⨱)=⫶⩼⫲2738","reverse_text":"⫶⩼⫲2738=(⫶⩼⫲96E⩤)⇼⇔∾(⫶⩼⫲AB9⫌⩹⨱)","cot":[{"info":"⫶⩼⫲96E⩤=⫶⩼⫲-96E","layer":1},{"info":"⫶⩼⫲AB9⫌⩹⨱=⫶⩼⫲1CB9","layer":1},{"info":"⫶⩼⫲-96E⇼⇔∾⫶⩼⫲1CB9=⫶⩼⫲2738","layer":0}]}
{"id":403,"expression_no_base_symbol":"(∂$4119$)⫡⨏($2651$⊦⊿)","expression":"(∂⫶⩼⫲1349)⫡⨏(⫶⩼⫲BBB⊦⊿)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":14,"operation_count":3,"complexity_ratio":4.666666666666667,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":4119,"base":15}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":2651,"base":15}}},"used_operators":["QMFrweE19q","Uaa54Peajs","14qkJME0vr"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=4119","layer":2},{"info":"compute unary expreesion, input=4119, 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=2651","layer":2},{"info":"compute unary expreesion, input=2651, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-8032","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-8032, op_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":15,"result_base":15,"text":"(∂⫶⩼⫲1349)⫡⨏(⫶⩼⫲BBB⊦⊿)=NaN","reverse_text":"NaN=(∂⫶⩼⫲1349)⫡⨏(⫶⩼⫲BBB⊦⊿)","cot":[{"info":"∂⫶⩼⫲1349=NaN","layer":1},{"info":"⫶⩼⫲BBB⊦⊿=⫶⩼⫲-25A7","layer":1},{"info":"NaN⫡⨏⫶⩼⫲-25A7=NaN","layer":0}]}
{"id":404,"expression_no_base_symbol":"($2283$⨐⩸⫘$6209$)≧⫂∧($2448$-$7391$)","expression":"(⫶⩼⫲A23⨐⩸⫘⫶⩼⫲1C8E)≧⫂∧(⫶⩼⫲AD3-⫶⩼⫲22CB)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4,"operation_count":3,"complexity_ratio":1.3333333333333333,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2283,"base":15},"right_expr":{"type":"numeric_atoms","value":6209,"base":15}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2448,"base":15},"right_expr":{"type":"numeric_atoms","value":7391,"base":15}}},"used_operators":["Ph9nP6C5qx","fu6greOZ01","rysDP5nf3Z"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2283","layer":2},{"info":"number node, value=6209","layer":2},{"info":"compute binary expreesion, left_input=2283, right_input=6209, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=2448","layer":2},{"info":"number node, value=7391","layer":2},{"info":"compute binary expreesion, left_input=2448, right_input=7391, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-4943","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-4943, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲A23⨐⩸⫘⫶⩼⫲1C8E)≧⫂∧(⫶⩼⫲AD3-⫶⩼⫲22CB)=NaN","reverse_text":"NaN=(⫶⩼⫲A23⨐⩸⫘⫶⩼⫲1C8E)≧⫂∧(⫶⩼⫲AD3-⫶⩼⫲22CB)","cot":[{"info":"⫶⩼⫲A23⨐⩸⫘⫶⩼⫲1C8E=NaN","layer":1},{"info":"⫶⩼⫲AD3-⫶⩼⫲22CB=⫶⩼⫲-16E8","layer":1},{"info":"NaN≧⫂∧⫶⩼⫲-16E8=NaN","layer":0}]}
{"id":405,"expression_no_base_symbol":"$1194$+⇶⊼$2760$⇼⇔∾(⪲⇎$1102$)","expression":"⫶⩼⫲549+⇶⊼⫶⩼⫲C40⇼⇔∾(⪲⇎⫶⩼⫲4D7)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5,"operation_count":3,"complexity_ratio":1.6666666666666667,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1194,"base":15},"right_expr":{"type":"numeric_atoms","value":2760,"base":15}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1102,"base":15}}},"used_operators":["tifHPKVTfV","TpPTUOHfaN","XPYlsWDdGa"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1194","layer":2},{"info":"number node, value=2760","layer":2},{"info":"compute binary expreesion, left_input=1194, right_input=2760, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=1102","layer":2},{"info":"compute unary expreesion, input=1102, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=2204","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2204, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲549+⇶⊼⫶⩼⫲C40⇼⇔∾(⪲⇎⫶⩼⫲4D7)=NaN","reverse_text":"NaN=⫶⩼⫲549+⇶⊼⫶⩼⫲C40⇼⇔∾(⪲⇎⫶⩼⫲4D7)","cot":[{"info":"⫶⩼⫲549+⇶⊼⫶⩼⫲C40=NaN","layer":1},{"info":"⪲⇎⫶⩼⫲4D7=⫶⩼⫲9BE","layer":1},{"info":"NaN⇼⇔∾⫶⩼⫲9BE=NaN","layer":0}]}
{"id":406,"expression_no_base_symbol":"($1023$⊭∹↮)⊘","expression":"(⫶⩼⫲483⊭∹↮)⊘","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":25,"operation_count":2,"complexity_ratio":12.5,"tree":{"type":"unary","operator":"⊘","unary_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":1023,"base":15}}},"used_operators":["gu96TGCTMs","xNBdhnnwKq"],"dependent_operators":["XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C"],"result":"⫶⩼⫲0","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1023","layer":2},{"info":"compute unary expreesion, input=1023, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=2046","layer":1},{"info":"compute unary expreesion, input=2046, 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":15,"result_base":15,"text":"(⫶⩼⫲483⊭∹↮)⊘=⫶⩼⫲0","reverse_text":"⫶⩼⫲0=(⫶⩼⫲483⊭∹↮)⊘","cot":[{"info":"⫶⩼⫲483⊭∹↮=⫶⩼⫲916","layer":1},{"info":"⫶⩼⫲916⊘=⫶⩼⫲0","layer":0}]}
{"id":407,"expression_no_base_symbol":"$6447$⋝⋈⪟$3457$⫥∨⫟($1257$⫸⊐$4543$)","expression":"⫶⩼⫲1D9C⋝⋈⪟⫶⩼⫲1057⫥∨⫟(⫶⩼⫲58C⫸⊐⫶⩼⫲152D)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":181,"operation_count":3,"complexity_ratio":60.333333333333336,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":6447,"base":15},"right_expr":{"type":"numeric_atoms","value":3457,"base":15}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1257,"base":15},"right_expr":{"type":"numeric_atoms","value":4543,"base":15}}},"used_operators":["KYD54nUTWz","2DDjHMKMc0","mqXw5SEYmG"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=6447","layer":2},{"info":"number node, value=3457","layer":2},{"info":"compute binary expreesion, left_input=6447, right_input=3457, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=6447","layer":1},{"info":"number node, value=1257","layer":2},{"info":"number node, value=4543","layer":2},{"info":"compute binary expreesion, left_input=1257, right_input=4543, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=18047","layer":1},{"info":"compute binary expreesion, left_input=6447, right_input=18047, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲1D9C⋝⋈⪟⫶⩼⫲1057⫥∨⫟(⫶⩼⫲58C⫸⊐⫶⩼⫲152D)=NaN","reverse_text":"NaN=⫶⩼⫲1D9C⋝⋈⪟⫶⩼⫲1057⫥∨⫟(⫶⩼⫲58C⫸⊐⫶⩼⫲152D)","cot":[{"info":"⫶⩼⫲1D9C⋝⋈⪟⫶⩼⫲1057=⫶⩼⫲1D9C","layer":1},{"info":"⫶⩼⫲58C⫸⊐⫶⩼⫲152D=⫶⩼⫲5532","layer":1},{"info":"⫶⩼⫲1D9C⫥∨⫟⫶⩼⫲5532=NaN","layer":0}]}
{"id":408,"expression_no_base_symbol":"($2005$%$3075$)∲⫓$1037$∑⇟⊟$3017$","expression":"(⫶⩼⫲8DA%⫶⩼⫲DA0)∲⫓⫶⩼⫲492∑⇟⊟⫶⩼⫲D62","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4,"operation_count":3,"complexity_ratio":1.3333333333333333,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2005,"base":15},"right_expr":{"type":"numeric_atoms","value":3075,"base":15}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1037,"base":15},"right_expr":{"type":"numeric_atoms","value":3017,"base":15}}},"used_operators":["i8ToyICDmI","k8jYdgA6NY","U7g4x0WXJJ"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=2005","layer":2},{"info":"number node, value=3075","layer":2},{"info":"compute binary expreesion, left_input=2005, right_input=3075, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2005","layer":1},{"info":"number node, value=1037","layer":2},{"info":"number node, value=3017","layer":2},{"info":"compute binary expreesion, left_input=1037, right_input=3017, 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=2005, right_input=nan, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲8DA%⫶⩼⫲DA0)∲⫓⫶⩼⫲492∑⇟⊟⫶⩼⫲D62=NaN","reverse_text":"NaN=(⫶⩼⫲8DA%⫶⩼⫲DA0)∲⫓⫶⩼⫲492∑⇟⊟⫶⩼⫲D62","cot":[{"info":"⫶⩼⫲8DA%⫶⩼⫲DA0=⫶⩼⫲8DA","layer":1},{"info":"⫶⩼⫲492∑⇟⊟⫶⩼⫲D62=NaN","layer":1},{"info":"⫶⩼⫲8DA∲⫓NaN=NaN","layer":0}]}
{"id":409,"expression_no_base_symbol":"⇁⨣⪵($2018$-$6618$)","expression":"⇁⨣⪵(⫶⩼⫲8E8-⫶⩼⫲1E63)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2,"operation_count":2,"complexity_ratio":1.0,"tree":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2018,"base":15},"right_expr":{"type":"numeric_atoms","value":6618,"base":15}}},"used_operators":["inkyxCbjAn","rysDP5nf3Z"],"dependent_operators":["B5M0gjZbta"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2018","layer":2},{"info":"number node, value=6618","layer":2},{"info":"compute binary expreesion, left_input=2018, right_input=6618, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-4600","layer":1},{"info":"compute unary expreesion, input=-4600, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"⇁⨣⪵(⫶⩼⫲8E8-⫶⩼⫲1E63)=NaN","reverse_text":"NaN=⇁⨣⪵(⫶⩼⫲8E8-⫶⩼⫲1E63)","cot":[{"info":"⫶⩼⫲8E8-⫶⩼⫲1E63=⫶⩼⫲-156A","layer":1},{"info":"⇁⨣⪵⫶⩼⫲-156A=NaN","layer":0}]}
{"id":410,"expression_no_base_symbol":"($3303$⩚⊴⇥$3124$)⪘⫢($1237$%$5477$)","expression":"(⫶⩼⫲EA3⩚⊴⇥⫶⩼⫲DD4)⪘⫢(⫶⩼⫲577%⫶⩼⫲1952)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":13,"operation_count":3,"complexity_ratio":4.333333333333333,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":3303,"base":15},"right_expr":{"type":"numeric_atoms","value":3124,"base":15}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1237,"base":15},"right_expr":{"type":"numeric_atoms","value":5477,"base":15}}},"used_operators":["oacrs7FA3X","NTOWxs364D","k8jYdgA6NY"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z"],"result":"⫶⩼⫲-1","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=3303","layer":2},{"info":"number node, value=3124","layer":2},{"info":"compute binary expreesion, left_input=3303, right_input=3124, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-6548","layer":1},{"info":"number node, value=1237","layer":2},{"info":"number node, value=5477","layer":2},{"info":"compute binary expreesion, left_input=1237, right_input=5477, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1237","layer":1},{"info":"compute binary expreesion, left_input=-6548, right_input=1237, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=-1","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲EA3⩚⊴⇥⫶⩼⫲DD4)⪘⫢(⫶⩼⫲577%⫶⩼⫲1952)=⫶⩼⫲-1","reverse_text":"⫶⩼⫲-1=(⫶⩼⫲EA3⩚⊴⇥⫶⩼⫲DD4)⪘⫢(⫶⩼⫲577%⫶⩼⫲1952)","cot":[{"info":"⫶⩼⫲EA3⩚⊴⇥⫶⩼⫲DD4=⫶⩼⫲-1E18","layer":1},{"info":"⫶⩼⫲577%⫶⩼⫲1952=⫶⩼⫲577","layer":1},{"info":"⫶⩼⫲-1E18⪘⫢⫶⩼⫲577=⫶⩼⫲-1","layer":0}]}
{"id":411,"expression_no_base_symbol":"($4212$⊭↱$2911$)↙$2878$⨪↰⇹$1115$","expression":"(⫶⩼⫲13AC⊭↱⫶⩼⫲CE1)↙⫶⩼⫲CBD⨪↰⇹⫶⩼⫲4E5","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2885,"operation_count":3,"complexity_ratio":961.6666666666666,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":4212,"base":15},"right_expr":{"type":"numeric_atoms","value":2911,"base":15}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2878,"base":15},"right_expr":{"type":"numeric_atoms","value":1115,"base":15}}},"used_operators":["yyfyN0ffXY","COABgblf1C","tmPS8pqC7x"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK"],"result":"⫶⩼⫲-B82","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=4212","layer":2},{"info":"number node, value=2911","layer":2},{"info":"compute binary expreesion, left_input=4212, right_input=2911, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-2597","layer":1},{"info":"number node, value=2878","layer":2},{"info":"number node, value=1115","layer":2},{"info":"compute binary expreesion, left_input=2878, right_input=1115, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=2878","layer":1},{"info":"compute binary expreesion, left_input=-2597, right_input=2878, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-2597","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲13AC⊭↱⫶⩼⫲CE1)↙⫶⩼⫲CBD⨪↰⇹⫶⩼⫲4E5=⫶⩼⫲-B82","reverse_text":"⫶⩼⫲-B82=(⫶⩼⫲13AC⊭↱⫶⩼⫲CE1)↙⫶⩼⫲CBD⨪↰⇹⫶⩼⫲4E5","cot":[{"info":"⫶⩼⫲13AC⊭↱⫶⩼⫲CE1=⫶⩼⫲-B82","layer":1},{"info":"⫶⩼⫲CBD⨪↰⇹⫶⩼⫲4E5=⫶⩼⫲CBD","layer":1},{"info":"⫶⩼⫲-B82↙⫶⩼⫲CBD=⫶⩼⫲-B82","layer":0}]}
{"id":412,"expression_no_base_symbol":"($1004$⪨≂$6417$)⋳⪒($3006$⊠≄⫣)","expression":"(⫶⩼⫲46E⪨≂⫶⩼⫲1D7C)⋳⪒(⫶⩼⫲D56⊠≄⫣)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":15,"operation_count":3,"complexity_ratio":5.0,"tree":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1004,"base":15},"right_expr":{"type":"numeric_atoms","value":6417,"base":15}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":3006,"base":15}}},"used_operators":["12rbrZMWeM","sdazOOVcIp","DIvbN7qnHd"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⫶⩼⫲-6690","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1004","layer":2},{"info":"number node, value=6417","layer":2},{"info":"compute binary expreesion, left_input=1004, right_input=6417, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-10724","layer":1},{"info":"number node, value=3006","layer":2},{"info":"compute unary expreesion, input=3006, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-10724, right_input=0, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-21735","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲46E⪨≂⫶⩼⫲1D7C)⋳⪒(⫶⩼⫲D56⊠≄⫣)=⫶⩼⫲-6690","reverse_text":"⫶⩼⫲-6690=(⫶⩼⫲46E⪨≂⫶⩼⫲1D7C)⋳⪒(⫶⩼⫲D56⊠≄⫣)","cot":[{"info":"⫶⩼⫲46E⪨≂⫶⩼⫲1D7C=⫶⩼⫲-329E","layer":1},{"info":"⫶⩼⫲D56⊠≄⫣=⫶⩼⫲0","layer":1},{"info":"⫶⩼⫲-329E⋳⪒⫶⩼⫲0=⫶⩼⫲-6690","layer":0}]}
{"id":413,"expression_no_base_symbol":"∥⊫($2846$+$1468$)","expression":"∥⊫(⫶⩼⫲C9B+⫶⩼⫲67D)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5,"operation_count":2,"complexity_ratio":2.5,"tree":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2846,"base":15},"right_expr":{"type":"numeric_atoms","value":1468,"base":15}}},"used_operators":["P8v4zCKN1o","W4YGzv6Whe"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd"],"result":"⫶⩼⫲1807","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2846","layer":2},{"info":"number node, value=1468","layer":2},{"info":"compute binary expreesion, left_input=2846, right_input=1468, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4314","layer":1},{"info":"compute unary expreesion, input=4314, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=5182","layer":0}],"base":15,"result_base":15,"text":"∥⊫(⫶⩼⫲C9B+⫶⩼⫲67D)=⫶⩼⫲1807","reverse_text":"⫶⩼⫲1807=∥⊫(⫶⩼⫲C9B+⫶⩼⫲67D)","cot":[{"info":"⫶⩼⫲C9B+⫶⩼⫲67D=⫶⩼⫲1429","layer":1},{"info":"∥⊫⫶⩼⫲1429=⫶⩼⫲1807","layer":0}]}
{"id":414,"expression_no_base_symbol":"$4188$⪢$1735$⪛($6736$⫡⨏$2151$)","expression":"⫶⩼⫲1393⪢⫶⩼⫲7AA⪛(⫶⩼⫲1EE1⫡⨏⫶⩼⫲986)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3850,"operation_count":3,"complexity_ratio":1283.3333333333333,"tree":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":4188,"base":15},"right_expr":{"type":"numeric_atoms","value":1735,"base":15}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":6736,"base":15},"right_expr":{"type":"numeric_atoms","value":2151,"base":15}}},"used_operators":["uFcxV4UQCh","dWAJyo7jo9","QMFrweE19q"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=4188","layer":2},{"info":"number node, value=1735","layer":2},{"info":"compute binary expreesion, left_input=4188, right_input=1735, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=6736","layer":2},{"info":"number node, value=2151","layer":2},{"info":"compute binary expreesion, left_input=6736, right_input=2151, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=38765","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=38765, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲1393⪢⫶⩼⫲7AA⪛(⫶⩼⫲1EE1⫡⨏⫶⩼⫲986)=NaN","reverse_text":"NaN=⫶⩼⫲1393⪢⫶⩼⫲7AA⪛(⫶⩼⫲1EE1⫡⨏⫶⩼⫲986)","cot":[{"info":"⫶⩼⫲1393⪢⫶⩼⫲7AA=NaN","layer":1},{"info":"⫶⩼⫲1EE1⫡⨏⫶⩼⫲986=⫶⩼⫲B745","layer":1},{"info":"NaN⪛⫶⩼⫲B745=NaN","layer":0}]}
{"id":415,"expression_no_base_symbol":"⪝⪂⫅($1512$⨰$4015$)","expression":"⪝⪂⫅(⫶⩼⫲6AC⨰⫶⩼⫲12CA)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":156,"operation_count":2,"complexity_ratio":78.0,"tree":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1512,"base":15},"right_expr":{"type":"numeric_atoms","value":4015,"base":15}}},"used_operators":["XTarYq4gQB","eewbuw0ToL"],"dependent_operators":["9HNa5Wba9A","8w2t5hMYqp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫶⩼⫲738B6","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1512","layer":2},{"info":"number node, value=4015","layer":2},{"info":"compute binary expreesion, left_input=1512, right_input=4015, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-2493","layer":1},{"info":"compute unary expreesion, input=-2493, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=366471","layer":0}],"base":15,"result_base":15,"text":"⪝⪂⫅(⫶⩼⫲6AC⨰⫶⩼⫲12CA)=⫶⩼⫲738B6","reverse_text":"⫶⩼⫲738B6=⪝⪂⫅(⫶⩼⫲6AC⨰⫶⩼⫲12CA)","cot":[{"info":"⫶⩼⫲6AC⨰⫶⩼⫲12CA=⫶⩼⫲-B13","layer":1},{"info":"⪝⪂⫅⫶⩼⫲-B13=⫶⩼⫲738B6","layer":0}]}
{"id":416,"expression_no_base_symbol":"($1094$⋥≓≎$1992$)∑⇟⊟($1766$/$1580$)","expression":"(⫶⩼⫲4CE⋥≓≎⫶⩼⫲8CC)∑⇟⊟(⫶⩼⫲7CB/⫶⩼⫲705)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2928,"operation_count":3,"complexity_ratio":976.0,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1094,"base":15},"right_expr":{"type":"numeric_atoms","value":1992,"base":15}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1766,"base":15},"right_expr":{"type":"numeric_atoms","value":1580,"base":15}}},"used_operators":["U7g4x0WXJJ","Qy55tPpLXF","XhwjNDsVaA"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z"],"result":"⫶⩼⫲0","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1094","layer":2},{"info":"number node, value=1992","layer":2},{"info":"compute binary expreesion, left_input=1094, right_input=1992, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=2923","layer":1},{"info":"number node, value=1766","layer":2},{"info":"number node, value=1580","layer":2},{"info":"compute binary expreesion, left_input=1766, right_input=1580, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":1},{"info":"compute binary expreesion, left_input=2923, right_input=1, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=0","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲4CE⋥≓≎⫶⩼⫲8CC)∑⇟⊟(⫶⩼⫲7CB/⫶⩼⫲705)=⫶⩼⫲0","reverse_text":"⫶⩼⫲0=(⫶⩼⫲4CE⋥≓≎⫶⩼⫲8CC)∑⇟⊟(⫶⩼⫲7CB/⫶⩼⫲705)","cot":[{"info":"⫶⩼⫲4CE⋥≓≎⫶⩼⫲8CC=⫶⩼⫲CED","layer":1},{"info":"⫶⩼⫲7CB/⫶⩼⫲705=⫶⩼⫲1","layer":1},{"info":"⫶⩼⫲CED∑⇟⊟⫶⩼⫲1=⫶⩼⫲0","layer":0}]}
{"id":417,"expression_no_base_symbol":"$4315$⇷$1153$+$3479$≎⊠⪸$9488$","expression":"⫶⩼⫲142A⇷⫶⩼⫲51D+⫶⩼⫲106E≎⊠⪸⫶⩼⫲2C28","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":60687,"operation_count":3,"complexity_ratio":20229.0,"tree":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":4315,"base":15},"right_expr":{"type":"numeric_atoms","value":1153,"base":15}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":3479,"base":15},"right_expr":{"type":"numeric_atoms","value":9488,"base":15}}},"used_operators":["W4YGzv6Whe","mp7IySMOzn","bJkvcejdHO"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"⫶⩼⫲12C7CE","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=4315","layer":2},{"info":"number node, value=1153","layer":2},{"info":"compute binary expreesion, left_input=4315, right_input=1153, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2306","layer":1},{"info":"number node, value=3479","layer":2},{"info":"number node, value=9488","layer":2},{"info":"compute binary expreesion, left_input=3479, right_input=9488, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=900588","layer":1},{"info":"compute binary expreesion, left_input=2306, right_input=900588, op_id = W4YGzv6Whe binary_op_definition= 'None', output=902894","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲142A⇷⫶⩼⫲51D+⫶⩼⫲106E≎⊠⪸⫶⩼⫲2C28=⫶⩼⫲12C7CE","reverse_text":"⫶⩼⫲12C7CE=⫶⩼⫲142A⇷⫶⩼⫲51D+⫶⩼⫲106E≎⊠⪸⫶⩼⫲2C28","cot":[{"info":"⫶⩼⫲142A⇷⫶⩼⫲51D=⫶⩼⫲A3B","layer":1},{"info":"⫶⩼⫲106E≎⊠⪸⫶⩼⫲2C28=⫶⩼⫲12BC93","layer":1},{"info":"⫶⩼⫲A3B+⫶⩼⫲12BC93=⫶⩼⫲12C7CE","layer":0}]}
{"id":418,"expression_no_base_symbol":"$3466$↬$2451$⨸⪁($3582$⋷$2331$)","expression":"⫶⩼⫲1061↬⫶⩼⫲AD6⨸⪁(⫶⩼⫲10DC⋷⫶⩼⫲A56)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7,"operation_count":3,"complexity_ratio":2.3333333333333335,"tree":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":3466,"base":15},"right_expr":{"type":"numeric_atoms","value":2451,"base":15}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":3582,"base":15},"right_expr":{"type":"numeric_atoms","value":2331,"base":15}}},"used_operators":["g55IO6H4Gj","B5M0gjZbta","23Mk6UjR3U"],"dependent_operators":["W4YGzv6Whe","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=3466","layer":2},{"info":"number node, value=2451","layer":2},{"info":"compute binary expreesion, left_input=3466, right_input=2451, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=3582","layer":2},{"info":"number node, value=2331","layer":2},{"info":"compute binary expreesion, left_input=3582, right_input=2331, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=1080","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1080, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲1061↬⫶⩼⫲AD6⨸⪁(⫶⩼⫲10DC⋷⫶⩼⫲A56)=NaN","reverse_text":"NaN=⫶⩼⫲1061↬⫶⩼⫲AD6⨸⪁(⫶⩼⫲10DC⋷⫶⩼⫲A56)","cot":[{"info":"⫶⩼⫲1061↬⫶⩼⫲AD6=NaN","layer":1},{"info":"⫶⩼⫲10DC⋷⫶⩼⫲A56=⫶⩼⫲4C0","layer":1},{"info":"NaN⨸⪁⫶⩼⫲4C0=NaN","layer":0}]}
{"id":419,"expression_no_base_symbol":"(⫛⫱⨽$5243$)≎⊠⪸($1924$⩚⊴⇥$1270$)","expression":"(⫛⫱⨽⫶⩼⫲1848)≎⊠⪸(⫶⩼⫲884⩚⊴⇥⫶⩼⫲59A)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1436,"operation_count":3,"complexity_ratio":478.6666666666667,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":5243,"base":15}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1924,"base":15},"right_expr":{"type":"numeric_atoms","value":1270,"base":15}}},"used_operators":["bJkvcejdHO","DlLNRPXxWL","NTOWxs364D"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"⫶⩼⫲47","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=5243","layer":2},{"info":"compute unary expreesion, input=5243, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":1},{"info":"number node, value=1924","layer":2},{"info":"number node, value=1270","layer":2},{"info":"compute binary expreesion, left_input=1924, right_input=1270, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3315","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-3315, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":0}],"base":15,"result_base":15,"text":"(⫛⫱⨽⫶⩼⫲1848)≎⊠⪸(⫶⩼⫲884⩚⊴⇥⫶⩼⫲59A)=⫶⩼⫲47","reverse_text":"⫶⩼⫲47=(⫛⫱⨽⫶⩼⫲1848)≎⊠⪸(⫶⩼⫲884⩚⊴⇥⫶⩼⫲59A)","cot":[{"info":"⫛⫱⨽⫶⩼⫲1848=⫶⩼⫲0","layer":1},{"info":"⫶⩼⫲884⩚⊴⇥⫶⩼⫲59A=⫶⩼⫲-EB0","layer":1},{"info":"⫶⩼⫲0≎⊠⪸⫶⩼⫲-EB0=⫶⩼⫲47","layer":0}]}
{"id":420,"expression_no_base_symbol":"($1565$+$2615$)⊉≛↸($1049$≫≃)","expression":"(⫶⩼⫲6E5+⫶⩼⫲B95)⊉≛↸(⫶⩼⫲49E≫≃)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":10,"operation_count":3,"complexity_ratio":3.3333333333333335,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1565,"base":15},"right_expr":{"type":"numeric_atoms","value":2615,"base":15}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":1049,"base":15}}},"used_operators":["DZ8iAZOCBD","W4YGzv6Whe","X99M06cbEe"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A"],"result":"⫶⩼⫲2725","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1565","layer":2},{"info":"number node, value=2615","layer":2},{"info":"compute binary expreesion, left_input=1565, right_input=2615, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4180","layer":1},{"info":"number node, value=1049","layer":2},{"info":"compute unary expreesion, input=1049, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=3499","layer":1},{"info":"compute binary expreesion, left_input=4180, right_input=3499, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=8360","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲6E5+⫶⩼⫲B95)⊉≛↸(⫶⩼⫲49E≫≃)=⫶⩼⫲2725","reverse_text":"⫶⩼⫲2725=(⫶⩼⫲6E5+⫶⩼⫲B95)⊉≛↸(⫶⩼⫲49E≫≃)","cot":[{"info":"⫶⩼⫲6E5+⫶⩼⫲B95=⫶⩼⫲138A","layer":1},{"info":"⫶⩼⫲49E≫≃=⫶⩼⫲1084","layer":1},{"info":"⫶⩼⫲138A⊉≛↸⫶⩼⫲1084=⫶⩼⫲2725","layer":0}]}
{"id":421,"expression_no_base_symbol":"$3368$≎⊠⪸$1240$⫡⨏$4890$⪘⫢$2716$","expression":"⫶⩼⫲EE8≎⊠⪸⫶⩼⫲57A⫡⨏⫶⩼⫲16B0⪘⫢⫶⩼⫲C11","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":292,"operation_count":3,"complexity_ratio":97.33333333333333,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":3368,"base":15},"right_expr":{"type":"numeric_atoms","value":1240,"base":15}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":4890,"base":15},"right_expr":{"type":"numeric_atoms","value":2716,"base":15}}},"used_operators":["QMFrweE19q","bJkvcejdHO","oacrs7FA3X"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"⫶⩼⫲5B787A","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=3368","layer":2},{"info":"number node, value=1240","layer":2},{"info":"compute binary expreesion, left_input=3368, right_input=1240, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=871839","layer":1},{"info":"number node, value=4890","layer":2},{"info":"number node, value=2716","layer":2},{"info":"compute binary expreesion, left_input=4890, right_input=2716, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=9656","layer":1},{"info":"compute binary expreesion, left_input=871839, right_input=9656, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=4379290","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲EE8≎⊠⪸⫶⩼⫲57A⫡⨏⫶⩼⫲16B0⪘⫢⫶⩼⫲C11=⫶⩼⫲5B787A","reverse_text":"⫶⩼⫲5B787A=⫶⩼⫲EE8≎⊠⪸⫶⩼⫲57A⫡⨏⫶⩼⫲16B0⪘⫢⫶⩼⫲C11","cot":[{"info":"⫶⩼⫲EE8≎⊠⪸⫶⩼⫲57A=⫶⩼⫲1234C9","layer":1},{"info":"⫶⩼⫲16B0⪘⫢⫶⩼⫲C11=⫶⩼⫲2CDB","layer":1},{"info":"⫶⩼⫲1234C9⫡⨏⫶⩼⫲2CDB=⫶⩼⫲5B787A","layer":0}]}
{"id":422,"expression_no_base_symbol":"(⨵≀≌$7570$)∀⇚≩$1046$⪮%⊝$1579$","expression":"(⨵≀≌⫶⩼⫲239A)∀⇚≩⫶⩼⫲49B⪮%⊝⫶⩼⫲704","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":158982,"operation_count":3,"complexity_ratio":52994.0,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":7570,"base":15}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1046,"base":15},"right_expr":{"type":"numeric_atoms","value":1579,"base":15}}},"used_operators":["LRNGc0VcxI","srAu1WTS94","IWmyXbctLI"],"dependent_operators":["X99M06cbEe","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=7570","layer":2},{"info":"compute unary expreesion, input=7570, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-22710","layer":1},{"info":"number node, value=1046","layer":2},{"info":"number node, value=1579","layer":2},{"info":"compute binary expreesion, left_input=1046, right_input=1579, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=2408","layer":1},{"info":"compute binary expreesion, left_input=-22710, right_input=2408, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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":15,"result_base":15,"text":"(⨵≀≌⫶⩼⫲239A)∀⇚≩⫶⩼⫲49B⪮%⊝⫶⩼⫲704=NaN","reverse_text":"NaN=(⨵≀≌⫶⩼⫲239A)∀⇚≩⫶⩼⫲49B⪮%⊝⫶⩼⫲704","cot":[{"info":"⨵≀≌⫶⩼⫲239A=⫶⩼⫲-6AE0","layer":1},{"info":"⫶⩼⫲49B⪮%⊝⫶⩼⫲704=⫶⩼⫲AA8","layer":1},{"info":"⫶⩼⫲-6AE0∀⇚≩⫶⩼⫲AA8=NaN","layer":0}]}
{"id":423,"expression_no_base_symbol":"(≤/$1913$)⋝⋈⪟($4854$⩠)","expression":"(≤/⫶⩼⫲878)⋝⋈⪟(⫶⩼⫲1689⩠)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":22,"operation_count":3,"complexity_ratio":7.333333333333333,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1913,"base":15}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":4854,"base":15}}},"used_operators":["2DDjHMKMc0","eLAdDNolq6","sJAwomhLZr"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C"],"result":"⫶⩼⫲-654","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1913","layer":2},{"info":"compute unary expreesion, input=1913, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1429","layer":1},{"info":"number node, value=4854","layer":2},{"info":"compute unary expreesion, input=4854, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-1429, right_input=0, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-1429","layer":0}],"base":15,"result_base":15,"text":"(≤/⫶⩼⫲878)⋝⋈⪟(⫶⩼⫲1689⩠)=⫶⩼⫲-654","reverse_text":"⫶⩼⫲-654=(≤/⫶⩼⫲878)⋝⋈⪟(⫶⩼⫲1689⩠)","cot":[{"info":"≤/⫶⩼⫲878=⫶⩼⫲-654","layer":1},{"info":"⫶⩼⫲1689⩠=⫶⩼⫲0","layer":1},{"info":"⫶⩼⫲-654⋝⋈⪟⫶⩼⫲0=⫶⩼⫲-654","layer":0}]}
{"id":424,"expression_no_base_symbol":"$6031$↬$1416$/$2687$∼$2983$","expression":"⫶⩼⫲1BC1↬⫶⩼⫲646/⫶⩼⫲BE2∼⫶⩼⫲D3D","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":56,"operation_count":3,"complexity_ratio":18.666666666666668,"tree":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":6031,"base":15},"right_expr":{"type":"numeric_atoms","value":1416,"base":15}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2687,"base":15},"right_expr":{"type":"numeric_atoms","value":2983,"base":15}}},"used_operators":["XhwjNDsVaA","B5M0gjZbta","DyGG3AbaNP"],"dependent_operators":["rysDP5nf3Z","rGHVDoGpnC","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=6031","layer":2},{"info":"number node, value=1416","layer":2},{"info":"compute binary expreesion, left_input=6031, right_input=1416, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=2687","layer":2},{"info":"number node, value=2983","layer":2},{"info":"compute binary expreesion, left_input=2687, right_input=2983, 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 = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲1BC1↬⫶⩼⫲646/⫶⩼⫲BE2∼⫶⩼⫲D3D=NaN","reverse_text":"NaN=⫶⩼⫲1BC1↬⫶⩼⫲646/⫶⩼⫲BE2∼⫶⩼⫲D3D","cot":[{"info":"⫶⩼⫲1BC1↬⫶⩼⫲646=NaN","layer":1},{"info":"⫶⩼⫲BE2∼⫶⩼⫲D3D=NaN","layer":1},{"info":"NaN/NaN=NaN","layer":0}]}
{"id":425,"expression_no_base_symbol":"⩦⩻⨪($2018$⫩⊇)","expression":"⩦⩻⨪(⫶⩼⫲8E8⫩⊇)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5,"operation_count":2,"complexity_ratio":2.5,"tree":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":2018,"base":15}}},"used_operators":["2td37pGCOC","BjRHVeLaeN"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⫶⩼⫲-8BB","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2018","layer":2},{"info":"compute unary expreesion, input=2018, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-1976","layer":1},{"info":"compute unary expreesion, input=-1976, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=-1976","layer":0}],"base":15,"result_base":15,"text":"⩦⩻⨪(⫶⩼⫲8E8⫩⊇)=⫶⩼⫲-8BB","reverse_text":"⫶⩼⫲-8BB=⩦⩻⨪(⫶⩼⫲8E8⫩⊇)","cot":[{"info":"⫶⩼⫲8E8⫩⊇=⫶⩼⫲-8BB","layer":1},{"info":"⩦⩻⨪⫶⩼⫲-8BB=⫶⩼⫲-8BB","layer":0}]}
{"id":426,"expression_no_base_symbol":"($3207$⋫)⪘⫢($2479$≧⫂∧$2539$)","expression":"(⫶⩼⫲E3C⋫)⪘⫢(⫶⩼⫲B04≧⫂∧⫶⩼⫲B44)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3223,"operation_count":3,"complexity_ratio":1074.3333333333333,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":3207,"base":15}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2479,"base":15},"right_expr":{"type":"numeric_atoms","value":2539,"base":15}}},"used_operators":["oacrs7FA3X","JL8yIekQnl","Ph9nP6C5qx"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","tmPS8pqC7x","rysDP5nf3Z","t8gj7n24qd"],"result":"⫶⩼⫲1CE5","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=3207","layer":2},{"info":"compute unary expreesion, input=3207, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=3207","layer":1},{"info":"number node, value=2479","layer":2},{"info":"number node, value=2539","layer":2},{"info":"compute binary expreesion, left_input=2479, right_input=2539, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2066","layer":1},{"info":"compute binary expreesion, left_input=3207, right_input=2066, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=6290","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲E3C⋫)⪘⫢(⫶⩼⫲B04≧⫂∧⫶⩼⫲B44)=⫶⩼⫲1CE5","reverse_text":"⫶⩼⫲1CE5=(⫶⩼⫲E3C⋫)⪘⫢(⫶⩼⫲B04≧⫂∧⫶⩼⫲B44)","cot":[{"info":"⫶⩼⫲E3C⋫=⫶⩼⫲E3C","layer":1},{"info":"⫶⩼⫲B04≧⫂∧⫶⩼⫲B44=⫶⩼⫲92B","layer":1},{"info":"⫶⩼⫲E3C⪘⫢⫶⩼⫲92B=⫶⩼⫲1CE5","layer":0}]}
{"id":427,"expression_no_base_symbol":"(⊄⩳↩$3216$)⨪↰⇹(⨞⊢$3316$)","expression":"(⊄⩳↩⫶⩼⫲E46)⨪↰⇹(⨞⊢⫶⩼⫲EB1)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":9653,"operation_count":3,"complexity_ratio":3217.6666666666665,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":3216,"base":15}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":3316,"base":15}}},"used_operators":["tmPS8pqC7x","8w2t5hMYqp","xUOZtlo3hN"],"dependent_operators":["rJVOvQCfKK","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⫶⩼⫲-2CD3","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=3216","layer":2},{"info":"compute unary expreesion, input=3216, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-9648","layer":1},{"info":"number node, value=3316","layer":2},{"info":"compute unary expreesion, input=3316, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-3490","layer":1},{"info":"compute binary expreesion, left_input=-9648, right_input=-3490, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=-9648","layer":0}],"base":15,"result_base":15,"text":"(⊄⩳↩⫶⩼⫲E46)⨪↰⇹(⨞⊢⫶⩼⫲EB1)=⫶⩼⫲-2CD3","reverse_text":"⫶⩼⫲-2CD3=(⊄⩳↩⫶⩼⫲E46)⨪↰⇹(⨞⊢⫶⩼⫲EB1)","cot":[{"info":"⊄⩳↩⫶⩼⫲E46=⫶⩼⫲-2CD3","layer":1},{"info":"⨞⊢⫶⩼⫲EB1=⫶⩼⫲-107A","layer":1},{"info":"⫶⩼⫲-2CD3⨪↰⇹⫶⩼⫲-107A=⫶⩼⫲-2CD3","layer":0}]}
{"id":428,"expression_no_base_symbol":"(⫓⪴$3366$)⪒$4619$⩚⊴⇥$7875$","expression":"(⫓⪴⫶⩼⫲EE6)⪒⫶⩼⫲157E⩚⊴⇥⫶⩼⫲2500","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3372,"operation_count":3,"complexity_ratio":1124.0,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":3366,"base":15}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":4619,"base":15},"right_expr":{"type":"numeric_atoms","value":7875,"base":15}}},"used_operators":["f6k1SAg4EE","eLxqMNBOBk","NTOWxs364D"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"⫶⩼⫲-ED8446","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=3366","layer":2},{"info":"compute unary expreesion, input=3366, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=11329956","layer":1},{"info":"number node, value=4619","layer":2},{"info":"number node, value=7875","layer":2},{"info":"compute binary expreesion, left_input=4619, right_input=7875, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-12615","layer":1},{"info":"compute binary expreesion, left_input=11329956, right_input=-12615, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-11317341","layer":0}],"base":15,"result_base":15,"text":"(⫓⪴⫶⩼⫲EE6)⪒⫶⩼⫲157E⩚⊴⇥⫶⩼⫲2500=⫶⩼⫲-ED8446","reverse_text":"⫶⩼⫲-ED8446=(⫓⪴⫶⩼⫲EE6)⪒⫶⩼⫲157E⩚⊴⇥⫶⩼⫲2500","cot":[{"info":"⫓⪴⫶⩼⫲EE6=⫶⩼⫲EDC056","layer":1},{"info":"⫶⩼⫲157E⩚⊴⇥⫶⩼⫲2500=⫶⩼⫲-3B10","layer":1},{"info":"⫶⩼⫲EDC056⪒⫶⩼⫲-3B10=⫶⩼⫲-ED8446","layer":0}]}
{"id":429,"expression_no_base_symbol":"$3532$≎⊠⪸$1769$⫌⩹⨱","expression":"⫶⩼⫲10A7≎⊠⪸⫶⩼⫲7CE⫌⩹⨱","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":277,"operation_count":2,"complexity_ratio":138.5,"tree":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":3532,"base":15},"right_expr":{"type":"numeric_atoms","value":1769,"base":15}}},"used_operators":["EBcxylXtPf","bJkvcejdHO"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"⫶⩼⫲262371","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=3532","layer":2},{"info":"number node, value=1769","layer":2},{"info":"compute binary expreesion, left_input=3532, right_input=1769, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=914315","layer":1},{"info":"compute unary expreesion, input=914315, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=1830031","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲10A7≎⊠⪸⫶⩼⫲7CE⫌⩹⨱=⫶⩼⫲262371","reverse_text":"⫶⩼⫲262371=⫶⩼⫲10A7≎⊠⪸⫶⩼⫲7CE⫌⩹⨱","cot":[{"info":"⫶⩼⫲10A7≎⊠⪸⫶⩼⫲7CE=⫶⩼⫲130D95","layer":1},{"info":"⫶⩼⫲130D95⫌⩹⨱=⫶⩼⫲262371","layer":0}]}
{"id":430,"expression_no_base_symbol":"($1149$⨸⪁$2349$)≹⇙⪍($2790$⩚⊴⇥$6701$)","expression":"(⫶⩼⫲519⨸⪁⫶⩼⫲A69)≹⇙⪍(⫶⩼⫲C60⩚⊴⇥⫶⩼⫲1EBB)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7,"operation_count":3,"complexity_ratio":2.3333333333333335,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1149,"base":15},"right_expr":{"type":"numeric_atoms","value":2349,"base":15}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2790,"base":15},"right_expr":{"type":"numeric_atoms","value":6701,"base":15}}},"used_operators":["AHs5Up7iyr","g55IO6H4Gj","NTOWxs364D"],"dependent_operators":["dWAJyo7jo9","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1149","layer":2},{"info":"number node, value=2349","layer":2},{"info":"compute binary expreesion, left_input=1149, right_input=2349, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=6996","layer":1},{"info":"number node, value=2790","layer":2},{"info":"number node, value=6701","layer":2},{"info":"compute binary expreesion, left_input=2790, right_input=6701, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-9612","layer":1},{"info":"compute binary expreesion, left_input=6996, right_input=-9612, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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":15,"result_base":15,"text":"(⫶⩼⫲519⨸⪁⫶⩼⫲A69)≹⇙⪍(⫶⩼⫲C60⩚⊴⇥⫶⩼⫲1EBB)=NaN","reverse_text":"NaN=(⫶⩼⫲519⨸⪁⫶⩼⫲A69)≹⇙⪍(⫶⩼⫲C60⩚⊴⇥⫶⩼⫲1EBB)","cot":[{"info":"⫶⩼⫲519⨸⪁⫶⩼⫲A69=⫶⩼⫲2116","layer":1},{"info":"⫶⩼⫲C60⩚⊴⇥⫶⩼⫲1EBB=⫶⩼⫲-2CAC","layer":1},{"info":"⫶⩼⫲2116≹⇙⪍⫶⩼⫲-2CAC=NaN","layer":0}]}
{"id":431,"expression_no_base_symbol":"(↔$4019$)⩚⊴⇥$1719$⋓$3101$","expression":"(↔⫶⩼⫲12CE)⩚⊴⇥⫶⩼⫲799⋓⫶⩼⫲DBB","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":23,"operation_count":3,"complexity_ratio":7.666666666666667,"tree":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":4019,"base":15}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1719,"base":15},"right_expr":{"type":"numeric_atoms","value":3101,"base":15}}},"used_operators":["NTOWxs364D","ruOEQAzv1W","T2fj7uvVaJ"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"⫶⩼⫲111A","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=4019","layer":2},{"info":"compute unary expreesion, input=4019, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-3746","layer":1},{"info":"number node, value=1719","layer":2},{"info":"number node, value=3101","layer":2},{"info":"compute binary expreesion, left_input=1719, right_input=3101, op_id = T2fj7uvVaJ binary_op_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=-3746, right_input=0, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=3625","layer":0}],"base":15,"result_base":15,"text":"(↔⫶⩼⫲12CE)⩚⊴⇥⫶⩼⫲799⋓⫶⩼⫲DBB=⫶⩼⫲111A","reverse_text":"⫶⩼⫲111A=(↔⫶⩼⫲12CE)⩚⊴⇥⫶⩼⫲799⋓⫶⩼⫲DBB","cot":[{"info":"↔⫶⩼⫲12CE=⫶⩼⫲-119B","layer":1},{"info":"⫶⩼⫲799⋓⫶⩼⫲DBB=⫶⩼⫲0","layer":1},{"info":"⫶⩼⫲-119B⩚⊴⇥⫶⩼⫲0=⫶⩼⫲111A","layer":0}]}
{"id":432,"expression_no_base_symbol":"$2267$⩚⊴⇥$3393$⩨$2548$⪮%⊝$1625$","expression":"⫶⩼⫲A12⩚⊴⇥⫶⩼⫲1013⩨⫶⩼⫲B4D⪮%⊝⫶⩼⫲735","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":16,"operation_count":3,"complexity_ratio":5.333333333333333,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2267,"base":15},"right_expr":{"type":"numeric_atoms","value":3393,"base":15}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2548,"base":15},"right_expr":{"type":"numeric_atoms","value":1625,"base":15}}},"used_operators":["2DlMacCsIx","NTOWxs364D","IWmyXbctLI"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"⫶⩼⫲3","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2267","layer":2},{"info":"number node, value=3393","layer":2},{"info":"compute binary expreesion, left_input=2267, right_input=3393, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-5781","layer":1},{"info":"number node, value=2548","layer":2},{"info":"number node, value=1625","layer":2},{"info":"compute binary expreesion, left_input=2548, right_input=1625, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=5412","layer":1},{"info":"compute binary expreesion, left_input=-5781, right_input=5412, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=3","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲A12⩚⊴⇥⫶⩼⫲1013⩨⫶⩼⫲B4D⪮%⊝⫶⩼⫲735=⫶⩼⫲3","reverse_text":"⫶⩼⫲3=⫶⩼⫲A12⩚⊴⇥⫶⩼⫲1013⩨⫶⩼⫲B4D⪮%⊝⫶⩼⫲735","cot":[{"info":"⫶⩼⫲A12⩚⊴⇥⫶⩼⫲1013=⫶⩼⫲-1AA6","layer":1},{"info":"⫶⩼⫲B4D⪮%⊝⫶⩼⫲735=⫶⩼⫲190C","layer":1},{"info":"⫶⩼⫲-1AA6⩨⫶⩼⫲190C=⫶⩼⫲3","layer":0}]}
{"id":433,"expression_no_base_symbol":"($5247$⨵⪆$5895$)⊉≛↸$1005$⪢$6648$","expression":"(⫶⩼⫲184C⨵⪆⫶⩼⫲1B30)⊉≛↸⫶⩼⫲470⪢⫶⩼⫲1E83","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6651,"operation_count":3,"complexity_ratio":2217.0,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":5247,"base":15},"right_expr":{"type":"numeric_atoms","value":5895,"base":15}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1005,"base":15},"right_expr":{"type":"numeric_atoms","value":6648,"base":15}}},"used_operators":["DZ8iAZOCBD","2DQ55sFlQl","dWAJyo7jo9"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY"],"result":"⫶⩼⫲165","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=5247","layer":2},{"info":"number node, value=5895","layer":2},{"info":"compute binary expreesion, left_input=5247, right_input=5895, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=1005","layer":2},{"info":"number node, value=6648","layer":2},{"info":"compute binary expreesion, left_input=1005, right_input=6648, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=320","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲184C⨵⪆⫶⩼⫲1B30)⊉≛↸⫶⩼⫲470⪢⫶⩼⫲1E83=⫶⩼⫲165","reverse_text":"⫶⩼⫲165=(⫶⩼⫲184C⨵⪆⫶⩼⫲1B30)⊉≛↸⫶⩼⫲470⪢⫶⩼⫲1E83","cot":[{"info":"⫶⩼⫲184C⨵⪆⫶⩼⫲1B30=⫶⩼⫲AA","layer":1},{"info":"⫶⩼⫲470⪢⫶⩼⫲1E83=NaN","layer":1},{"info":"⫶⩼⫲AA⊉≛↸NaN=⫶⩼⫲165","layer":0}]}
{"id":434,"expression_no_base_symbol":"$1087$⋓$5552$⫸⊐($1058$≦≮≮)","expression":"⫶⩼⫲4C7⋓⫶⩼⫲19A2⫸⊐(⫶⩼⫲4A8≦≮≮)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":20,"operation_count":3,"complexity_ratio":6.666666666666667,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1087,"base":15},"right_expr":{"type":"numeric_atoms","value":5552,"base":15}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":1058,"base":15}}},"used_operators":["mqXw5SEYmG","T2fj7uvVaJ","D4vGDi5EA2"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd"],"result":"⫶⩼⫲0","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1087","layer":2},{"info":"number node, value=5552","layer":2},{"info":"compute binary expreesion, left_input=1087, right_input=5552, op_id = T2fj7uvVaJ binary_op_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=1058","layer":2},{"info":"compute unary expreesion, input=1058, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-3174","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-3174, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=0","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲4C7⋓⫶⩼⫲19A2⫸⊐(⫶⩼⫲4A8≦≮≮)=⫶⩼⫲0","reverse_text":"⫶⩼⫲0=⫶⩼⫲4C7⋓⫶⩼⫲19A2⫸⊐(⫶⩼⫲4A8≦≮≮)","cot":[{"info":"⫶⩼⫲4C7⋓⫶⩼⫲19A2=⫶⩼⫲0","layer":1},{"info":"⫶⩼⫲4A8≦≮≮=⫶⩼⫲-E19","layer":1},{"info":"⫶⩼⫲0⫸⊐⫶⩼⫲-E19=⫶⩼⫲0","layer":0}]}
{"id":435,"expression_no_base_symbol":"$5761$⨳⩥⨓$1167$⪒$1163$⪒$1072$","expression":"⫶⩼⫲1A91⨳⩥⨓⫶⩼⫲52C⪒⫶⩼⫲528⪒⫶⩼⫲4B7","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":9,"operation_count":3,"complexity_ratio":3.0,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":5761,"base":15},"right_expr":{"type":"numeric_atoms","value":1167,"base":15}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1163,"base":15},"right_expr":{"type":"numeric_atoms","value":1072,"base":15}}},"used_operators":["f6k1SAg4EE","nCS4ZIUYfx"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z"],"result":"⫶⩼⫲2054","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=5761","layer":2},{"info":"number node, value=1167","layer":2},{"info":"compute binary expreesion, left_input=5761, right_input=1167, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-4594","layer":1},{"info":"number node, value=1163","layer":2},{"info":"number node, value=1072","layer":2},{"info":"compute binary expreesion, left_input=1163, right_input=1072, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-2235","layer":1},{"info":"compute binary expreesion, left_input=-4594, right_input=-2235, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=6829","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲1A91⨳⩥⨓⫶⩼⫲52C⪒⫶⩼⫲528⪒⫶⩼⫲4B7=⫶⩼⫲2054","reverse_text":"⫶⩼⫲2054=⫶⩼⫲1A91⨳⩥⨓⫶⩼⫲52C⪒⫶⩼⫲528⪒⫶⩼⫲4B7","cot":[{"info":"⫶⩼⫲1A91⨳⩥⨓⫶⩼⫲52C=⫶⩼⫲-1564","layer":1},{"info":"⫶⩼⫲528⪒⫶⩼⫲4B7=⫶⩼⫲-9E0","layer":1},{"info":"⫶⩼⫲-1564⪒⫶⩼⫲-9E0=⫶⩼⫲2054","layer":0}]}
{"id":436,"expression_no_base_symbol":"⨑⩽⪐($1262$/$4932$)","expression":"⨑⩽⪐(⫶⩼⫲592/⫶⩼⫲16DC)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":8,"operation_count":2,"complexity_ratio":4.0,"tree":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1262,"base":15},"right_expr":{"type":"numeric_atoms","value":4932,"base":15}}},"used_operators":["AF7qkfDlqP","XhwjNDsVaA"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z"],"result":"⫶⩼⫲379","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1262","layer":2},{"info":"number node, value=4932","layer":2},{"info":"compute binary expreesion, left_input=1262, right_input=4932, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=789","layer":0}],"base":15,"result_base":15,"text":"⨑⩽⪐(⫶⩼⫲592/⫶⩼⫲16DC)=⫶⩼⫲379","reverse_text":"⫶⩼⫲379=⨑⩽⪐(⫶⩼⫲592/⫶⩼⫲16DC)","cot":[{"info":"⫶⩼⫲592/⫶⩼⫲16DC=⫶⩼⫲0","layer":1},{"info":"⨑⩽⪐⫶⩼⫲0=⫶⩼⫲379","layer":0}]}
{"id":437,"expression_no_base_symbol":"$7488$↺$3619$⩨($1505$⪒$1179$)","expression":"⫶⩼⫲2343↺⫶⩼⫲1114⩨(⫶⩼⫲6A5⪒⫶⩼⫲539)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":9,"operation_count":3,"complexity_ratio":3.0,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":7488,"base":15},"right_expr":{"type":"numeric_atoms","value":3619,"base":15}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1505,"base":15},"right_expr":{"type":"numeric_atoms","value":1179,"base":15}}},"used_operators":["2DlMacCsIx","7j4O788W3g","f6k1SAg4EE"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⫶⩼⫲3","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=7488","layer":2},{"info":"number node, value=3619","layer":2},{"info":"compute binary expreesion, left_input=7488, right_input=3619, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3619","layer":1},{"info":"number node, value=1505","layer":2},{"info":"number node, value=1179","layer":2},{"info":"compute binary expreesion, left_input=1505, right_input=1179, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-2684","layer":1},{"info":"compute binary expreesion, left_input=3619, right_input=-2684, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=3","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲2343↺⫶⩼⫲1114⩨(⫶⩼⫲6A5⪒⫶⩼⫲539)=⫶⩼⫲3","reverse_text":"⫶⩼⫲3=⫶⩼⫲2343↺⫶⩼⫲1114⩨(⫶⩼⫲6A5⪒⫶⩼⫲539)","cot":[{"info":"⫶⩼⫲2343↺⫶⩼⫲1114=⫶⩼⫲1114","layer":1},{"info":"⫶⩼⫲6A5⪒⫶⩼⫲539=⫶⩼⫲-BDE","layer":1},{"info":"⫶⩼⫲1114⩨⫶⩼⫲-BDE=⫶⩼⫲3","layer":0}]}
{"id":438,"expression_no_base_symbol":"($7111$↙$3788$)⋝⋈⪟($1742$⩷∴$2051$)","expression":"(⫶⩼⫲2191↙⫶⩼⫲11C8)⋝⋈⪟(⫶⩼⫲7B2⩷∴⫶⩼⫲91B)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3800,"operation_count":3,"complexity_ratio":1266.6666666666667,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":7111,"base":15},"right_expr":{"type":"numeric_atoms","value":3788,"base":15}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1742,"base":15},"right_expr":{"type":"numeric_atoms","value":2051,"base":15}}},"used_operators":["2DDjHMKMc0","yyfyN0ffXY","9FxExcQeMw"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z"],"result":"⫶⩼⫲-3579","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=7111","layer":2},{"info":"number node, value=3788","layer":2},{"info":"compute binary expreesion, left_input=7111, right_input=3788, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-11364","layer":1},{"info":"number node, value=1742","layer":2},{"info":"number node, value=2051","layer":2},{"info":"compute binary expreesion, left_input=1742, right_input=2051, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-650","layer":1},{"info":"compute binary expreesion, left_input=-11364, right_input=-650, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-11364","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲2191↙⫶⩼⫲11C8)⋝⋈⪟(⫶⩼⫲7B2⩷∴⫶⩼⫲91B)=⫶⩼⫲-3579","reverse_text":"⫶⩼⫲-3579=(⫶⩼⫲2191↙⫶⩼⫲11C8)⋝⋈⪟(⫶⩼⫲7B2⩷∴⫶⩼⫲91B)","cot":[{"info":"⫶⩼⫲2191↙⫶⩼⫲11C8=⫶⩼⫲-3579","layer":1},{"info":"⫶⩼⫲7B2⩷∴⫶⩼⫲91B=⫶⩼⫲-2D5","layer":1},{"info":"⫶⩼⫲-3579⋝⋈⪟⫶⩼⫲-2D5=⫶⩼⫲-3579","layer":0}]}
{"id":439,"expression_no_base_symbol":"⩦⩻⨪($5119$-$1008$)","expression":"⩦⩻⨪(⫶⩼⫲17B4-⫶⩼⫲473)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4,"operation_count":2,"complexity_ratio":2.0,"tree":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":5119,"base":15},"right_expr":{"type":"numeric_atoms","value":1008,"base":15}}},"used_operators":["2td37pGCOC","rysDP5nf3Z"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd"],"result":"⫶⩼⫲1341","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=5119","layer":2},{"info":"number node, value=1008","layer":2},{"info":"compute binary expreesion, left_input=5119, right_input=1008, op_id = rysDP5nf3Z binary_op_definition= 'None', output=4111","layer":1},{"info":"compute unary expreesion, input=4111, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=4111","layer":0}],"base":15,"result_base":15,"text":"⩦⩻⨪(⫶⩼⫲17B4-⫶⩼⫲473)=⫶⩼⫲1341","reverse_text":"⫶⩼⫲1341=⩦⩻⨪(⫶⩼⫲17B4-⫶⩼⫲473)","cot":[{"info":"⫶⩼⫲17B4-⫶⩼⫲473=⫶⩼⫲1341","layer":1},{"info":"⩦⩻⨪⫶⩼⫲1341=⫶⩼⫲1341","layer":0}]}
{"id":440,"expression_no_base_symbol":"($3829$≋⫹)⪒$1449$⨳⩥⨓$3873$","expression":"(⫶⩼⫲1204≋⫹)⪒⫶⩼⫲669⨳⩥⨓⫶⩼⫲1233","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":9,"operation_count":3,"complexity_ratio":3.0,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":3829,"base":15}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1449,"base":15},"right_expr":{"type":"numeric_atoms","value":3873,"base":15}}},"used_operators":["f6k1SAg4EE","N41Kp7NANJ","nCS4ZIUYfx"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z"],"result":"⫶⩼⫲183E","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=3829","layer":2},{"info":"compute unary expreesion, input=3829, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-7658","layer":1},{"info":"number node, value=1449","layer":2},{"info":"number node, value=3873","layer":2},{"info":"compute binary expreesion, left_input=1449, right_input=3873, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=2424","layer":1},{"info":"compute binary expreesion, left_input=-7658, right_input=2424, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=5234","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲1204≋⫹)⪒⫶⩼⫲669⨳⩥⨓⫶⩼⫲1233=⫶⩼⫲183E","reverse_text":"⫶⩼⫲183E=(⫶⩼⫲1204≋⫹)⪒⫶⩼⫲669⨳⩥⨓⫶⩼⫲1233","cot":[{"info":"⫶⩼⫲1204≋⫹=⫶⩼⫲-2408","layer":1},{"info":"⫶⩼⫲669⨳⩥⨓⫶⩼⫲1233=⫶⩼⫲AB9","layer":1},{"info":"⫶⩼⫲-2408⪒⫶⩼⫲AB9=⫶⩼⫲183E","layer":0}]}
{"id":441,"expression_no_base_symbol":"($7893$⪨≂$3804$)⩨($5983$⫩⊇)","expression":"(⫶⩼⫲2513⪨≂⫶⩼⫲11D9)⩨(⫶⩼⫲1B8D⫩⊇)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":11,"operation_count":3,"complexity_ratio":3.6666666666666665,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":7893,"base":15},"right_expr":{"type":"numeric_atoms","value":3804,"base":15}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":5983,"base":15}}},"used_operators":["2DlMacCsIx","sdazOOVcIp","BjRHVeLaeN"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⫶⩼⫲3","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=7893","layer":2},{"info":"number node, value=3804","layer":2},{"info":"compute binary expreesion, left_input=7893, right_input=3804, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=8280","layer":1},{"info":"number node, value=5983","layer":2},{"info":"compute unary expreesion, input=5983, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-5941","layer":1},{"info":"compute binary expreesion, left_input=8280, right_input=-5941, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=3","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲2513⪨≂⫶⩼⫲11D9)⩨(⫶⩼⫲1B8D⫩⊇)=⫶⩼⫲3","reverse_text":"⫶⩼⫲3=(⫶⩼⫲2513⪨≂⫶⩼⫲11D9)⩨(⫶⩼⫲1B8D⫩⊇)","cot":[{"info":"⫶⩼⫲2513⪨≂⫶⩼⫲11D9=⫶⩼⫲26C0","layer":1},{"info":"⫶⩼⫲1B8D⫩⊇=⫶⩼⫲-1B61","layer":1},{"info":"⫶⩼⫲26C0⩨⫶⩼⫲-1B61=⫶⩼⫲3","layer":0}]}
{"id":442,"expression_no_base_symbol":"($1572$⫩⊇)⋫","expression":"(⫶⩼⫲6EC⫩⊇)⋫","highest_n_order":3,"priority_hierarchical_complexity":1,"normalized_expansion_degree":1532,"operation_count":2,"complexity_ratio":766.0,"tree":{"type":"unary","operator":"⋫","unary_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":1572,"base":15}}},"used_operators":["JL8yIekQnl","BjRHVeLaeN"],"dependent_operators":["tmPS8pqC7x","rysDP5nf3Z","t8gj7n24qd"],"result":"⫶⩼⫲-6C0","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1572","layer":2},{"info":"compute unary expreesion, input=1572, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-1530","layer":1},{"info":"compute unary expreesion, input=-1530, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=-1530","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲6EC⫩⊇)⋫=⫶⩼⫲-6C0","reverse_text":"⫶⩼⫲-6C0=(⫶⩼⫲6EC⫩⊇)⋫","cot":[{"info":"⫶⩼⫲6EC⫩⊇=⫶⩼⫲-6C0","layer":1},{"info":"⫶⩼⫲-6C0⋫=⫶⩼⫲-6C0","layer":0}]}
{"id":443,"expression_no_base_symbol":"($1869$⨸⪁$2668$)≭(⊄⩳↩$3256$)","expression":"(⫶⩼⫲849⨸⪁⫶⩼⫲BCD)≭(⊄⩳↩⫶⩼⫲E71)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7,"operation_count":3,"complexity_ratio":2.3333333333333335,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1869,"base":15},"right_expr":{"type":"numeric_atoms","value":2668,"base":15}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":3256,"base":15}}},"used_operators":["rxpJgHHUmx","g55IO6H4Gj","8w2t5hMYqp"],"dependent_operators":["AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1869","layer":2},{"info":"number node, value=2668","layer":2},{"info":"compute binary expreesion, left_input=1869, right_input=2668, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=9074","layer":1},{"info":"number node, value=3256","layer":2},{"info":"compute unary expreesion, input=3256, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-9768","layer":1},{"info":"compute binary expreesion, left_input=9074, right_input=-9768, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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":15,"result_base":15,"text":"(⫶⩼⫲849⨸⪁⫶⩼⫲BCD)≭(⊄⩳↩⫶⩼⫲E71)=NaN","reverse_text":"NaN=(⫶⩼⫲849⨸⪁⫶⩼⫲BCD)≭(⊄⩳↩⫶⩼⫲E71)","cot":[{"info":"⫶⩼⫲849⨸⪁⫶⩼⫲BCD=⫶⩼⫲2A4E","layer":1},{"info":"⊄⩳↩⫶⩼⫲E71=⫶⩼⫲-2D63","layer":1},{"info":"⫶⩼⫲2A4E≭⫶⩼⫲-2D63=NaN","layer":0}]}
{"id":444,"expression_no_base_symbol":"↽≂$1288$≎⊠⪸$3467$","expression":"↽≂⫶⩼⫲5AD≎⊠⪸⫶⩼⫲1062","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":273,"operation_count":2,"complexity_ratio":136.5,"tree":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1288,"base":15},"right_expr":{"type":"numeric_atoms","value":3467,"base":15}}},"used_operators":["u6S6b8DprG","bJkvcejdHO"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"⫶⩼⫲-D260D","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1288","layer":2},{"info":"number node, value=3467","layer":2},{"info":"compute binary expreesion, left_input=1288, right_input=3467, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=333119","layer":1},{"info":"compute unary expreesion, input=333119, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-666238","layer":0}],"base":15,"result_base":15,"text":"↽≂⫶⩼⫲5AD≎⊠⪸⫶⩼⫲1062=⫶⩼⫲-D260D","reverse_text":"⫶⩼⫲-D260D=↽≂⫶⩼⫲5AD≎⊠⪸⫶⩼⫲1062","cot":[{"info":"⫶⩼⫲5AD≎⊠⪸⫶⩼⫲1062=⫶⩼⫲68A7E","layer":1},{"info":"↽≂⫶⩼⫲68A7E=⫶⩼⫲-D260D","layer":0}]}
{"id":445,"expression_no_base_symbol":"($2577$⩤)⪒$2781$⪘⫢$1257$","expression":"(⫶⩼⫲B6C⩤)⪒⫶⩼⫲C56⪘⫢⫶⩼⫲58C","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":19,"operation_count":3,"complexity_ratio":6.333333333333333,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":2577,"base":15}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2781,"base":15},"right_expr":{"type":"numeric_atoms","value":1257,"base":15}}},"used_operators":["f6k1SAg4EE","Z2TMIBDE3Q","oacrs7FA3X"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"⫶⩼⫲-CAB","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2577","layer":2},{"info":"compute unary expreesion, input=2577, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-2577","layer":1},{"info":"number node, value=2781","layer":2},{"info":"number node, value=1257","layer":2},{"info":"compute binary expreesion, left_input=2781, right_input=1257, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=5438","layer":1},{"info":"compute binary expreesion, left_input=-2577, right_input=5438, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-2861","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲B6C⩤)⪒⫶⩼⫲C56⪘⫢⫶⩼⫲58C=⫶⩼⫲-CAB","reverse_text":"⫶⩼⫲-CAB=(⫶⩼⫲B6C⩤)⪒⫶⩼⫲C56⪘⫢⫶⩼⫲58C","cot":[{"info":"⫶⩼⫲B6C⩤=⫶⩼⫲-B6C","layer":1},{"info":"⫶⩼⫲C56⪘⫢⫶⩼⫲58C=⫶⩼⫲1928","layer":1},{"info":"⫶⩼⫲-B6C⪒⫶⩼⫲1928=⫶⩼⫲-CAB","layer":0}]}
{"id":446,"expression_no_base_symbol":"$6147$∑⇟⊟$1954$+⇶⊼($7603$⫩⊇)","expression":"⫶⩼⫲1C4C∑⇟⊟⫶⩼⫲8A4+⇶⊼(⫶⩼⫲23BD⫩⊇)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4,"operation_count":3,"complexity_ratio":1.3333333333333333,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":6147,"base":15},"right_expr":{"type":"numeric_atoms","value":1954,"base":15}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":7603,"base":15}}},"used_operators":["TpPTUOHfaN","U7g4x0WXJJ","BjRHVeLaeN"],"dependent_operators":["AHs5Up7iyr","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=6147","layer":2},{"info":"number node, value=1954","layer":2},{"info":"compute binary expreesion, left_input=6147, right_input=1954, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=7603","layer":2},{"info":"compute unary expreesion, input=7603, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-7561","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-7561, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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":15,"result_base":15,"text":"⫶⩼⫲1C4C∑⇟⊟⫶⩼⫲8A4+⇶⊼(⫶⩼⫲23BD⫩⊇)=NaN","reverse_text":"NaN=⫶⩼⫲1C4C∑⇟⊟⫶⩼⫲8A4+⇶⊼(⫶⩼⫲23BD⫩⊇)","cot":[{"info":"⫶⩼⫲1C4C∑⇟⊟⫶⩼⫲8A4=NaN","layer":1},{"info":"⫶⩼⫲23BD⫩⊇=⫶⩼⫲-2391","layer":1},{"info":"NaN+⇶⊼⫶⩼⫲-2391=NaN","layer":0}]}
{"id":447,"expression_no_base_symbol":"($2058$⊭∹↮)⨟⋌⩍($1646$⪄$3546$)","expression":"(⫶⩼⫲923⊭∹↮)⨟⋌⩍(⫶⩼⫲74B⪄⫶⩼⫲10B6)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":102,"operation_count":3,"complexity_ratio":34.0,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":2058,"base":15}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1646,"base":15},"right_expr":{"type":"numeric_atoms","value":3546,"base":15}}},"used_operators":["rGHVDoGpnC","xNBdhnnwKq","SUmda5xLS4"],"dependent_operators":["Tcnh7f0tEr","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2058","layer":2},{"info":"compute unary expreesion, input=2058, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=4116","layer":1},{"info":"number node, value=1646","layer":2},{"info":"number node, value=3546","layer":2},{"info":"compute binary expreesion, left_input=1646, right_input=3546, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-253881","layer":1},{"info":"compute binary expreesion, left_input=4116, right_input=-253881, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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":15,"result_base":15,"text":"(⫶⩼⫲923⊭∹↮)⨟⋌⩍(⫶⩼⫲74B⪄⫶⩼⫲10B6)=NaN","reverse_text":"NaN=(⫶⩼⫲923⊭∹↮)⨟⋌⩍(⫶⩼⫲74B⪄⫶⩼⫲10B6)","cot":[{"info":"⫶⩼⫲923⊭∹↮=⫶⩼⫲1346","layer":1},{"info":"⫶⩼⫲74B⪄⫶⩼⫲10B6=⫶⩼⫲-50356","layer":1},{"info":"⫶⩼⫲1346⨟⋌⩍⫶⩼⫲-50356=NaN","layer":0}]}
{"id":448,"expression_no_base_symbol":"($6567$/$2991$)⨰($1285$-$1974$)","expression":"(⫶⩼⫲1E2C/⫶⩼⫲D46)⨰(⫶⩼⫲5AA-⫶⩼⫲8B9)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":9,"operation_count":3,"complexity_ratio":3.0,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":6567,"base":15},"right_expr":{"type":"numeric_atoms","value":2991,"base":15}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1285,"base":15},"right_expr":{"type":"numeric_atoms","value":1974,"base":15}}},"used_operators":["eewbuw0ToL","XhwjNDsVaA","rysDP5nf3Z"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"⫶⩼⫲31B","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=6567","layer":2},{"info":"number node, value=2991","layer":2},{"info":"compute binary expreesion, left_input=6567, right_input=2991, op_id = XhwjNDsVaA binary_op_definition= 'None', output=2","layer":1},{"info":"number node, value=1285","layer":2},{"info":"number node, value=1974","layer":2},{"info":"compute binary expreesion, left_input=1285, right_input=1974, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-689","layer":1},{"info":"compute binary expreesion, left_input=2, right_input=-689, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=701","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲1E2C/⫶⩼⫲D46)⨰(⫶⩼⫲5AA-⫶⩼⫲8B9)=⫶⩼⫲31B","reverse_text":"⫶⩼⫲31B=(⫶⩼⫲1E2C/⫶⩼⫲D46)⨰(⫶⩼⫲5AA-⫶⩼⫲8B9)","cot":[{"info":"⫶⩼⫲1E2C/⫶⩼⫲D46=⫶⩼⫲2","layer":1},{"info":"⫶⩼⫲5AA-⫶⩼⫲8B9=⫶⩼⫲-30E","layer":1},{"info":"⫶⩼⫲2⨰⫶⩼⫲-30E=⫶⩼⫲31B","layer":0}]}
{"id":449,"expression_no_base_symbol":"($9133$⨎$1001$)⊴($6001$⪢$1345$)","expression":"(⫶⩼⫲2A8D⨎⫶⩼⫲46B)⊴(⫶⩼⫲1BA1⪢⫶⩼⫲5EA)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1786,"operation_count":3,"complexity_ratio":595.3333333333334,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":9133,"base":15},"right_expr":{"type":"numeric_atoms","value":1001,"base":15}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":6001,"base":15},"right_expr":{"type":"numeric_atoms","value":1345,"base":15}}},"used_operators":["Nsiff2A1zJ","rJVOvQCfKK","dWAJyo7jo9"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=9133","layer":2},{"info":"number node, value=1001","layer":2},{"info":"compute binary expreesion, left_input=9133, right_input=1001, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1001","layer":1},{"info":"number node, value=6001","layer":2},{"info":"number node, value=1345","layer":2},{"info":"compute binary expreesion, left_input=6001, right_input=1345, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=1001, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲2A8D⨎⫶⩼⫲46B)⊴(⫶⩼⫲1BA1⪢⫶⩼⫲5EA)=NaN","reverse_text":"NaN=(⫶⩼⫲2A8D⨎⫶⩼⫲46B)⊴(⫶⩼⫲1BA1⪢⫶⩼⫲5EA)","cot":[{"info":"⫶⩼⫲2A8D⨎⫶⩼⫲46B=⫶⩼⫲46B","layer":1},{"info":"⫶⩼⫲1BA1⪢⫶⩼⫲5EA=NaN","layer":1},{"info":"⫶⩼⫲46B⊴NaN=NaN","layer":0}]}
{"id":450,"expression_no_base_symbol":"$3400$∼$1284$-($2828$⪨≂$5623$)","expression":"⫶⩼⫲101A∼⫶⩼⫲5A9-(⫶⩼⫲C88⪨≂⫶⩼⫲19ED)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":74,"operation_count":3,"complexity_ratio":24.666666666666668,"tree":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":3400,"base":15},"right_expr":{"type":"numeric_atoms","value":1284,"base":15}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2828,"base":15},"right_expr":{"type":"numeric_atoms","value":5623,"base":15}}},"used_operators":["rysDP5nf3Z","DyGG3AbaNP","sdazOOVcIp"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=3400","layer":2},{"info":"number node, value=1284","layer":2},{"info":"compute binary expreesion, left_input=3400, right_input=1284, 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=2828","layer":2},{"info":"number node, value=5623","layer":2},{"info":"compute binary expreesion, left_input=2828, right_input=5623, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-5488","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-5488, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲101A∼⫶⩼⫲5A9-(⫶⩼⫲C88⪨≂⫶⩼⫲19ED)=NaN","reverse_text":"NaN=⫶⩼⫲101A∼⫶⩼⫲5A9-(⫶⩼⫲C88⪨≂⫶⩼⫲19ED)","cot":[{"info":"⫶⩼⫲101A∼⫶⩼⫲5A9=NaN","layer":1},{"info":"⫶⩼⫲C88⪨≂⫶⩼⫲19ED=⫶⩼⫲-195D","layer":1},{"info":"NaN-⫶⩼⫲-195D=NaN","layer":0}]}
{"id":451,"expression_no_base_symbol":"$1571$⋥≓≎$1187$⪨≂$5649$⨓$4811$","expression":"⫶⩼⫲6EB⋥≓≎⫶⩼⫲542⪨≂⫶⩼⫲1A19⨓⫶⩼⫲165B","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4826,"operation_count":3,"complexity_ratio":1608.6666666666667,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1571,"base":15},"right_expr":{"type":"numeric_atoms","value":1187,"base":15}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":5649,"base":15},"right_expr":{"type":"numeric_atoms","value":4811,"base":15}}},"used_operators":["sdazOOVcIp","Qy55tPpLXF","3ViojmjbAp"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"⫶⩼⫲35A2","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1571","layer":2},{"info":"number node, value=1187","layer":2},{"info":"compute binary expreesion, left_input=1571, right_input=1187, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=836","layer":1},{"info":"number node, value=5649","layer":2},{"info":"number node, value=4811","layer":2},{"info":"compute binary expreesion, left_input=5649, right_input=4811, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-4814","layer":1},{"info":"compute binary expreesion, left_input=836, right_input=-4814, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=11402","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲6EB⋥≓≎⫶⩼⫲542⪨≂⫶⩼⫲1A19⨓⫶⩼⫲165B=⫶⩼⫲35A2","reverse_text":"⫶⩼⫲35A2=⫶⩼⫲6EB⋥≓≎⫶⩼⫲542⪨≂⫶⩼⫲1A19⨓⫶⩼⫲165B","cot":[{"info":"⫶⩼⫲6EB⋥≓≎⫶⩼⫲542=⫶⩼⫲3AB","layer":1},{"info":"⫶⩼⫲1A19⨓⫶⩼⫲165B=⫶⩼⫲-165E","layer":1},{"info":"⫶⩼⫲3AB⪨≂⫶⩼⫲-165E=⫶⩼⫲35A2","layer":0}]}
{"id":452,"expression_no_base_symbol":"($2518$/$6418$)⊘","expression":"(⫶⩼⫲B2D/⫶⩼⫲1D7D)⊘","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":23,"operation_count":2,"complexity_ratio":11.5,"tree":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2518,"base":15},"right_expr":{"type":"numeric_atoms","value":6418,"base":15}}},"used_operators":["gu96TGCTMs","XhwjNDsVaA"],"dependent_operators":["XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rysDP5nf3Z"],"result":"⫶⩼⫲0","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=2518","layer":2},{"info":"number node, value=6418","layer":2},{"info":"compute binary expreesion, left_input=2518, right_input=6418, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲B2D/⫶⩼⫲1D7D)⊘=⫶⩼⫲0","reverse_text":"⫶⩼⫲0=(⫶⩼⫲B2D/⫶⩼⫲1D7D)⊘","cot":[{"info":"⫶⩼⫲B2D/⫶⩼⫲1D7D=⫶⩼⫲0","layer":1},{"info":"⫶⩼⫲0⊘=⫶⩼⫲0","layer":0}]}
{"id":453,"expression_no_base_symbol":"(↩$2165$)⨓($7034$∑⇟⊟$1765$)","expression":"(↩⫶⩼⫲995)⨓(⫶⩼⫲213E∑⇟⊟⫶⩼⫲7CA)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":24,"operation_count":3,"complexity_ratio":8.0,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":2165,"base":15}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":7034,"base":15},"right_expr":{"type":"numeric_atoms","value":1765,"base":15}}},"used_operators":["3ViojmjbAp","jLgFTUHLKL","U7g4x0WXJJ"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2165","layer":2},{"info":"compute unary expreesion, input=2165, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-14540","layer":1},{"info":"number node, value=7034","layer":2},{"info":"number node, value=1765","layer":2},{"info":"compute binary expreesion, left_input=7034, right_input=1765, 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=-14540, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"(↩⫶⩼⫲995)⨓(⫶⩼⫲213E∑⇟⊟⫶⩼⫲7CA)=NaN","reverse_text":"NaN=(↩⫶⩼⫲995)⨓(⫶⩼⫲213E∑⇟⊟⫶⩼⫲7CA)","cot":[{"info":"↩⫶⩼⫲995=⫶⩼⫲-4495","layer":1},{"info":"⫶⩼⫲213E∑⇟⊟⫶⩼⫲7CA=NaN","layer":1},{"info":"⫶⩼⫲-4495⨓NaN=NaN","layer":0}]}
{"id":454,"expression_no_base_symbol":"$2155$⋝⋈⪟$5050$⇼⇔∾$6772$⋳⪒$2304$","expression":"⫶⩼⫲98A⋝⋈⪟⫶⩼⫲176A⇼⇔∾⫶⩼⫲2017⋳⪒⫶⩼⫲A39","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":12,"operation_count":3,"complexity_ratio":4.0,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2155,"base":15},"right_expr":{"type":"numeric_atoms","value":5050,"base":15}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":6772,"base":15},"right_expr":{"type":"numeric_atoms","value":2304,"base":15}}},"used_operators":["tifHPKVTfV","2DDjHMKMc0","12rbrZMWeM"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⫶⩼⫲2918","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=2155","layer":2},{"info":"number node, value=5050","layer":2},{"info":"compute binary expreesion, left_input=2155, right_input=5050, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2155","layer":1},{"info":"number node, value=6772","layer":2},{"info":"number node, value=2304","layer":2},{"info":"compute binary expreesion, left_input=6772, right_input=2304, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=10953","layer":1},{"info":"compute binary expreesion, left_input=2155, right_input=10953, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=8798","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲98A⋝⋈⪟⫶⩼⫲176A⇼⇔∾⫶⩼⫲2017⋳⪒⫶⩼⫲A39=⫶⩼⫲2918","reverse_text":"⫶⩼⫲2918=⫶⩼⫲98A⋝⋈⪟⫶⩼⫲176A⇼⇔∾⫶⩼⫲2017⋳⪒⫶⩼⫲A39","cot":[{"info":"⫶⩼⫲98A⋝⋈⪟⫶⩼⫲176A=⫶⩼⫲98A","layer":1},{"info":"⫶⩼⫲2017⋳⪒⫶⩼⫲A39=⫶⩼⫲33A3","layer":1},{"info":"⫶⩼⫲98A⇼⇔∾⫶⩼⫲33A3=⫶⩼⫲2918","layer":0}]}
{"id":455,"expression_no_base_symbol":"(≤/$1169$)∲⫓$4394$*$3090$","expression":"(≤/⫶⩼⫲52E)∲⫓⫶⩼⫲147E*⫶⩼⫲DB0","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3093,"operation_count":3,"complexity_ratio":1031.0,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1169,"base":15}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":4394,"base":15},"right_expr":{"type":"numeric_atoms","value":3090,"base":15}}},"used_operators":["i8ToyICDmI","eLAdDNolq6","9HNa5Wba9A"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe"],"result":"⫶⩼⫲0","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1169","layer":2},{"info":"compute unary expreesion, input=1169, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-685","layer":1},{"info":"number node, value=4394","layer":2},{"info":"number node, value=3090","layer":2},{"info":"compute binary expreesion, left_input=4394, right_input=3090, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=13577460","layer":1},{"info":"compute binary expreesion, left_input=-685, right_input=13577460, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":0}],"base":15,"result_base":15,"text":"(≤/⫶⩼⫲52E)∲⫓⫶⩼⫲147E*⫶⩼⫲DB0=⫶⩼⫲0","reverse_text":"⫶⩼⫲0=(≤/⫶⩼⫲52E)∲⫓⫶⩼⫲147E*⫶⩼⫲DB0","cot":[{"info":"≤/⫶⩼⫲52E=⫶⩼⫲-30A","layer":1},{"info":"⫶⩼⫲147E*⫶⩼⫲DB0=⫶⩼⫲12D2E40","layer":1},{"info":"⫶⩼⫲-30A∲⫓⫶⩼⫲12D2E40=⫶⩼⫲0","layer":0}]}
{"id":456,"expression_no_base_symbol":"(-$3170$)⋥≓≎$5977$⫥∨⫟$2902$","expression":"(-⫶⩼⫲E15)⋥≓≎⫶⩼⫲1B87⫥∨⫟⫶⩼⫲CD7","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":157,"operation_count":3,"complexity_ratio":52.333333333333336,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":3170,"base":15}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":5977,"base":15},"right_expr":{"type":"numeric_atoms","value":2902,"base":15}}},"used_operators":["Qy55tPpLXF","t8gj7n24qd","KYD54nUTWz"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC"],"result":"⫶⩼⫲47","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=3170","layer":2},{"info":"compute unary expreesion, input=3170, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-3170","layer":1},{"info":"number node, value=5977","layer":2},{"info":"number node, value=2902","layer":2},{"info":"compute binary expreesion, left_input=5977, right_input=2902, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-3170, 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":15,"result_base":15,"text":"(-⫶⩼⫲E15)⋥≓≎⫶⩼⫲1B87⫥∨⫟⫶⩼⫲CD7=⫶⩼⫲47","reverse_text":"⫶⩼⫲47=(-⫶⩼⫲E15)⋥≓≎⫶⩼⫲1B87⫥∨⫟⫶⩼⫲CD7","cot":[{"info":"-⫶⩼⫲E15=⫶⩼⫲-E15","layer":1},{"info":"⫶⩼⫲1B87⫥∨⫟⫶⩼⫲CD7=NaN","layer":1},{"info":"⫶⩼⫲-E15⋥≓≎NaN=⫶⩼⫲47","layer":0}]}
{"id":457,"expression_no_base_symbol":"(≤/$6196$)⩚⊴⇥(⪲⇎$2749$)","expression":"(≤/⫶⩼⫲1C81)⩚⊴⇥(⪲⇎⫶⩼⫲C34)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6,"operation_count":3,"complexity_ratio":2.0,"tree":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":6196,"base":15}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":2749,"base":15}}},"used_operators":["NTOWxs364D","eLAdDNolq6","XPYlsWDdGa"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫶⩼⫲63","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=6196","layer":2},{"info":"compute unary expreesion, input=6196, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-5712","layer":1},{"info":"number node, value=2749","layer":2},{"info":"compute unary expreesion, input=2749, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=5498","layer":1},{"info":"compute binary expreesion, left_input=-5712, right_input=5498, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=93","layer":0}],"base":15,"result_base":15,"text":"(≤/⫶⩼⫲1C81)⩚⊴⇥(⪲⇎⫶⩼⫲C34)=⫶⩼⫲63","reverse_text":"⫶⩼⫲63=(≤/⫶⩼⫲1C81)⩚⊴⇥(⪲⇎⫶⩼⫲C34)","cot":[{"info":"≤/⫶⩼⫲1C81=⫶⩼⫲-1A5C","layer":1},{"info":"⪲⇎⫶⩼⫲C34=⫶⩼⫲1968","layer":1},{"info":"⫶⩼⫲-1A5C⩚⊴⇥⫶⩼⫲1968=⫶⩼⫲63","layer":0}]}
{"id":458,"expression_no_base_symbol":"$3295$↙$1566$-$3135$⩨$3976$","expression":"⫶⩼⫲E9A↙⫶⩼⫲6E6-⫶⩼⫲DE0⩨⫶⩼⫲12A1","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1574,"operation_count":3,"complexity_ratio":524.6666666666666,"tree":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":3295,"base":15},"right_expr":{"type":"numeric_atoms","value":1566,"base":15}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":3135,"base":15},"right_expr":{"type":"numeric_atoms","value":3976,"base":15}}},"used_operators":["rysDP5nf3Z","yyfyN0ffXY","2DlMacCsIx"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"⫶⩼⫲-15D0","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=3295","layer":2},{"info":"number node, value=1566","layer":2},{"info":"compute binary expreesion, left_input=3295, right_input=1566, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-4698","layer":1},{"info":"number node, value=3135","layer":2},{"info":"number node, value=3976","layer":2},{"info":"compute binary expreesion, left_input=3135, right_input=3976, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":1},{"info":"compute binary expreesion, left_input=-4698, right_input=-3, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-4695","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲E9A↙⫶⩼⫲6E6-⫶⩼⫲DE0⩨⫶⩼⫲12A1=⫶⩼⫲-15D0","reverse_text":"⫶⩼⫲-15D0=⫶⩼⫲E9A↙⫶⩼⫲6E6-⫶⩼⫲DE0⩨⫶⩼⫲12A1","cot":[{"info":"⫶⩼⫲E9A↙⫶⩼⫲6E6=⫶⩼⫲-15D3","layer":1},{"info":"⫶⩼⫲DE0⩨⫶⩼⫲12A1=⫶⩼⫲-3","layer":1},{"info":"⫶⩼⫲-15D3-⫶⩼⫲-3=⫶⩼⫲-15D0","layer":0}]}
{"id":459,"expression_no_base_symbol":"($2551$⨎$2140$)≹⇙⪍($1408$⇷$4809$)","expression":"(⫶⩼⫲B51⨎⫶⩼⫲97A)≹⇙⪍(⫶⩼⫲63D⇷⫶⩼⫲1659)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":19720,"operation_count":3,"complexity_ratio":6573.333333333333,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2551,"base":15},"right_expr":{"type":"numeric_atoms","value":2140,"base":15}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1408,"base":15},"right_expr":{"type":"numeric_atoms","value":4809,"base":15}}},"used_operators":["AHs5Up7iyr","rJVOvQCfKK","mp7IySMOzn"],"dependent_operators":["dWAJyo7jo9","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=2551","layer":2},{"info":"number node, value=2140","layer":2},{"info":"compute binary expreesion, left_input=2551, right_input=2140, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2140","layer":1},{"info":"number node, value=1408","layer":2},{"info":"number node, value=4809","layer":2},{"info":"compute binary expreesion, left_input=1408, right_input=4809, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=9618","layer":1},{"info":"compute binary expreesion, left_input=2140, right_input=9618, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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":15,"result_base":15,"text":"(⫶⩼⫲B51⨎⫶⩼⫲97A)≹⇙⪍(⫶⩼⫲63D⇷⫶⩼⫲1659)=NaN","reverse_text":"NaN=(⫶⩼⫲B51⨎⫶⩼⫲97A)≹⇙⪍(⫶⩼⫲63D⇷⫶⩼⫲1659)","cot":[{"info":"⫶⩼⫲B51⨎⫶⩼⫲97A=⫶⩼⫲97A","layer":1},{"info":"⫶⩼⫲63D⇷⫶⩼⫲1659=⫶⩼⫲2CB3","layer":1},{"info":"⫶⩼⫲97A≹⇙⪍⫶⩼⫲2CB3=NaN","layer":0}]}
{"id":460,"expression_no_base_symbol":"($3180$⇋≉)∼(∥⊫$3513$)","expression":"(⫶⩼⫲E20⇋≉)∼(∥⊫⫶⩼⫲1093)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":131,"operation_count":3,"complexity_ratio":43.666666666666664,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":3180,"base":15}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":3513,"base":15}}},"used_operators":["DyGG3AbaNP","XIabStNQrY","P8v4zCKN1o"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=3180","layer":2},{"info":"compute unary expreesion, input=3180, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=6262","layer":1},{"info":"number node, value=3513","layer":2},{"info":"compute unary expreesion, input=3513, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=4381","layer":1},{"info":"compute binary expreesion, left_input=6262, right_input=4381, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲E20⇋≉)∼(∥⊫⫶⩼⫲1093)=NaN","reverse_text":"NaN=(⫶⩼⫲E20⇋≉)∼(∥⊫⫶⩼⫲1093)","cot":[{"info":"⫶⩼⫲E20⇋≉=⫶⩼⫲1CC7","layer":1},{"info":"∥⊫⫶⩼⫲1093=⫶⩼⫲1471","layer":1},{"info":"⫶⩼⫲1CC7∼⫶⩼⫲1471=NaN","layer":0}]}
{"id":461,"expression_no_base_symbol":"$1067$⊉≛↸$1034$⊭↱(↽≂$4877$)","expression":"⫶⩼⫲4B2⊉≛↸⫶⩼⫲48E⊭↱(↽≂⫶⩼⫲16A2)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":11,"operation_count":3,"complexity_ratio":3.6666666666666665,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1067,"base":15},"right_expr":{"type":"numeric_atoms","value":1034,"base":15}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":4877,"base":15}}},"used_operators":["COABgblf1C","DZ8iAZOCBD","u6S6b8DprG"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⫶⩼⫲-709B","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1067","layer":2},{"info":"number node, value=1034","layer":2},{"info":"compute binary expreesion, left_input=1067, right_input=1034, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2134","layer":1},{"info":"number node, value=4877","layer":2},{"info":"compute unary expreesion, input=4877, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-9754","layer":1},{"info":"compute binary expreesion, left_input=2134, right_input=-9754, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-23771","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲4B2⊉≛↸⫶⩼⫲48E⊭↱(↽≂⫶⩼⫲16A2)=⫶⩼⫲-709B","reverse_text":"⫶⩼⫲-709B=⫶⩼⫲4B2⊉≛↸⫶⩼⫲48E⊭↱(↽≂⫶⩼⫲16A2)","cot":[{"info":"⫶⩼⫲4B2⊉≛↸⫶⩼⫲48E=⫶⩼⫲974","layer":1},{"info":"↽≂⫶⩼⫲16A2=⫶⩼⫲-2D54","layer":1},{"info":"⫶⩼⫲974⊭↱⫶⩼⫲-2D54=⫶⩼⫲-709B","layer":0}]}
{"id":462,"expression_no_base_symbol":"($1539$⪒$1135$)⨟⋌⩍($1506$⪛$1616$)","expression":"(⫶⩼⫲6C9⪒⫶⩼⫲50A)⨟⋌⩍(⫶⩼⫲6A6⪛⫶⩼⫲72B)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":8,"operation_count":3,"complexity_ratio":2.6666666666666665,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1539,"base":15},"right_expr":{"type":"numeric_atoms","value":1135,"base":15}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1506,"base":15},"right_expr":{"type":"numeric_atoms","value":1616,"base":15}}},"used_operators":["rGHVDoGpnC","f6k1SAg4EE","uFcxV4UQCh"],"dependent_operators":["Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1539","layer":2},{"info":"number node, value=1135","layer":2},{"info":"compute binary expreesion, left_input=1539, right_input=1135, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-2674","layer":1},{"info":"number node, value=1506","layer":2},{"info":"number node, value=1616","layer":2},{"info":"compute binary expreesion, left_input=1506, right_input=1616, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1506","layer":1},{"info":"compute binary expreesion, left_input=-2674, right_input=1506, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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":15,"result_base":15,"text":"(⫶⩼⫲6C9⪒⫶⩼⫲50A)⨟⋌⩍(⫶⩼⫲6A6⪛⫶⩼⫲72B)=NaN","reverse_text":"NaN=(⫶⩼⫲6C9⪒⫶⩼⫲50A)⨟⋌⩍(⫶⩼⫲6A6⪛⫶⩼⫲72B)","cot":[{"info":"⫶⩼⫲6C9⪒⫶⩼⫲50A=⫶⩼⫲-BD4","layer":1},{"info":"⫶⩼⫲6A6⪛⫶⩼⫲72B=⫶⩼⫲6A6","layer":1},{"info":"⫶⩼⫲-BD4⨟⋌⩍⫶⩼⫲6A6=NaN","layer":0}]}
{"id":463,"expression_no_base_symbol":"(∥⊫$2250$)⊴($4012$≭$3416$)","expression":"(∥⊫⫶⩼⫲A00)⊴(⫶⩼⫲12C7≭⫶⩼⫲102B)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":12,"operation_count":3,"complexity_ratio":4.0,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":2250,"base":15}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":4012,"base":15},"right_expr":{"type":"numeric_atoms","value":3416,"base":15}}},"used_operators":["Nsiff2A1zJ","P8v4zCKN1o","rxpJgHHUmx"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=2250","layer":2},{"info":"compute unary expreesion, input=2250, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=3118","layer":1},{"info":"number node, value=4012","layer":2},{"info":"number node, value=3416","layer":2},{"info":"compute binary expreesion, left_input=4012, right_input=3416, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=3118, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"(∥⊫⫶⩼⫲A00)⊴(⫶⩼⫲12C7≭⫶⩼⫲102B)=NaN","reverse_text":"NaN=(∥⊫⫶⩼⫲A00)⊴(⫶⩼⫲12C7≭⫶⩼⫲102B)","cot":[{"info":"∥⊫⫶⩼⫲A00=⫶⩼⫲DCD","layer":1},{"info":"⫶⩼⫲12C7≭⫶⩼⫲102B=NaN","layer":1},{"info":"⫶⩼⫲DCD⊴NaN=NaN","layer":0}]}
{"id":464,"expression_no_base_symbol":"$1327$↬$5988$⋝⋈⪟($7485$⋝⋈⪟$4254$)","expression":"⫶⩼⫲5D7↬⫶⩼⫲1B93⋝⋈⪟(⫶⩼⫲2340⋝⋈⪟⫶⩼⫲13D9)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":7,"operation_count":3,"complexity_ratio":2.3333333333333335,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1327,"base":15},"right_expr":{"type":"numeric_atoms","value":5988,"base":15}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":7485,"base":15},"right_expr":{"type":"numeric_atoms","value":4254,"base":15}}},"used_operators":["2DDjHMKMc0","B5M0gjZbta"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1327","layer":2},{"info":"number node, value=5988","layer":2},{"info":"compute binary expreesion, left_input=1327, right_input=5988, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=7485","layer":2},{"info":"number node, value=4254","layer":2},{"info":"compute binary expreesion, left_input=7485, right_input=4254, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=7485","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=7485, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲5D7↬⫶⩼⫲1B93⋝⋈⪟(⫶⩼⫲2340⋝⋈⪟⫶⩼⫲13D9)=NaN","reverse_text":"NaN=⫶⩼⫲5D7↬⫶⩼⫲1B93⋝⋈⪟(⫶⩼⫲2340⋝⋈⪟⫶⩼⫲13D9)","cot":[{"info":"⫶⩼⫲5D7↬⫶⩼⫲1B93=NaN","layer":1},{"info":"⫶⩼⫲2340⋝⋈⪟⫶⩼⫲13D9=⫶⩼⫲2340","layer":1},{"info":"NaN⋝⋈⪟⫶⩼⫲2340=NaN","layer":0}]}
{"id":465,"expression_no_base_symbol":"(⪝⪂⫅$6659$)∲⫓$2427$⪮%⊝$5582$","expression":"(⪝⪂⫅⫶⩼⫲1E8E)∲⫓⫶⩼⫲ABC⪮%⊝⫶⩼⫲19C2","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":161,"operation_count":3,"complexity_ratio":53.666666666666664,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":6659,"base":15}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2427,"base":15},"right_expr":{"type":"numeric_atoms","value":5582,"base":15}}},"used_operators":["i8ToyICDmI","XTarYq4gQB","IWmyXbctLI"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"⫶⩼⫲0","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=6659","layer":2},{"info":"compute unary expreesion, input=6659, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-978873","layer":1},{"info":"number node, value=2427","layer":2},{"info":"number node, value=5582","layer":2},{"info":"compute binary expreesion, left_input=2427, right_input=5582, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=5170","layer":1},{"info":"compute binary expreesion, left_input=-978873, right_input=5170, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":0}],"base":15,"result_base":15,"text":"(⪝⪂⫅⫶⩼⫲1E8E)∲⫓⫶⩼⫲ABC⪮%⊝⫶⩼⫲19C2=⫶⩼⫲0","reverse_text":"⫶⩼⫲0=(⪝⪂⫅⫶⩼⫲1E8E)∲⫓⫶⩼⫲ABC⪮%⊝⫶⩼⫲19C2","cot":[{"info":"⪝⪂⫅⫶⩼⫲1E8E=⫶⩼⫲-145083","layer":1},{"info":"⫶⩼⫲ABC⪮%⊝⫶⩼⫲19C2=⫶⩼⫲17EA","layer":1},{"info":"⫶⩼⫲-145083∲⫓⫶⩼⫲17EA=⫶⩼⫲0","layer":0}]}
{"id":466,"expression_no_base_symbol":"$1008$⨪↰⇹$2275$⋥≓≎$2024$⨓$2691$","expression":"⫶⩼⫲473⨪↰⇹⫶⩼⫲A1A⋥≓≎⫶⩼⫲8EE⨓⫶⩼⫲BE6","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3709,"operation_count":3,"complexity_ratio":1236.3333333333333,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1008,"base":15},"right_expr":{"type":"numeric_atoms","value":2275,"base":15}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2024,"base":15},"right_expr":{"type":"numeric_atoms","value":2691,"base":15}}},"used_operators":["Qy55tPpLXF","tmPS8pqC7x","3ViojmjbAp"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"⫶⩼⫲-1D43","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1008","layer":2},{"info":"number node, value=2275","layer":2},{"info":"compute binary expreesion, left_input=1008, right_input=2275, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1008","layer":1},{"info":"number node, value=2024","layer":2},{"info":"number node, value=2691","layer":2},{"info":"compute binary expreesion, left_input=2024, right_input=2691, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2694","layer":1},{"info":"compute binary expreesion, left_input=1008, right_input=-2694, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-6363","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲473⨪↰⇹⫶⩼⫲A1A⋥≓≎⫶⩼⫲8EE⨓⫶⩼⫲BE6=⫶⩼⫲-1D43","reverse_text":"⫶⩼⫲-1D43=⫶⩼⫲473⨪↰⇹⫶⩼⫲A1A⋥≓≎⫶⩼⫲8EE⨓⫶⩼⫲BE6","cot":[{"info":"⫶⩼⫲473⨪↰⇹⫶⩼⫲A1A=⫶⩼⫲473","layer":1},{"info":"⫶⩼⫲8EE⨓⫶⩼⫲BE6=⫶⩼⫲-BE9","layer":1},{"info":"⫶⩼⫲473⋥≓≎⫶⩼⫲-BE9=⫶⩼⫲-1D43","layer":0}]}
{"id":467,"expression_no_base_symbol":"($5702$*$7310$)+⇶⊼($4048$⊪)","expression":"(⫶⩼⫲1A52*⫶⩼⫲2275)+⇶⊼(⫶⩼⫲12ED⊪)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5736,"operation_count":3,"complexity_ratio":1912.0,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":5702,"base":15},"right_expr":{"type":"numeric_atoms","value":7310,"base":15}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":4048,"base":15}}},"used_operators":["TpPTUOHfaN","9HNa5Wba9A","zVYPLywUTj"],"dependent_operators":["AHs5Up7iyr","W4YGzv6Whe","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL"],"result":"⫶⩼⫲0","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=5702","layer":2},{"info":"number node, value=7310","layer":2},{"info":"compute binary expreesion, left_input=5702, right_input=7310, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=41681620","layer":1},{"info":"number node, value=4048","layer":2},{"info":"compute unary expreesion, input=4048, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=41681620, 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":15,"result_base":15,"text":"(⫶⩼⫲1A52*⫶⩼⫲2275)+⇶⊼(⫶⩼⫲12ED⊪)=⫶⩼⫲0","reverse_text":"⫶⩼⫲0=(⫶⩼⫲1A52*⫶⩼⫲2275)+⇶⊼(⫶⩼⫲12ED⊪)","cot":[{"info":"⫶⩼⫲1A52*⫶⩼⫲2275=⫶⩼⫲39D519A","layer":1},{"info":"⫶⩼⫲12ED⊪=⫶⩼⫲0","layer":1},{"info":"⫶⩼⫲39D519A+⇶⊼⫶⩼⫲0=⫶⩼⫲0","layer":0}]}
{"id":468,"expression_no_base_symbol":"$4046$⨸⪁$1004$∲⫓(⪲⇎$2974$)","expression":"⫶⩼⫲12EB⨸⪁⫶⩼⫲46E∲⫓(⪲⇎⫶⩼⫲D34)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7,"operation_count":3,"complexity_ratio":2.3333333333333335,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":4046,"base":15},"right_expr":{"type":"numeric_atoms","value":1004,"base":15}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":2974,"base":15}}},"used_operators":["i8ToyICDmI","g55IO6H4Gj","XPYlsWDdGa"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫶⩼⫲0","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=4046","layer":2},{"info":"number node, value=1004","layer":2},{"info":"compute binary expreesion, left_input=4046, right_input=1004, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=10100","layer":1},{"info":"number node, value=2974","layer":2},{"info":"compute unary expreesion, input=2974, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=5948","layer":1},{"info":"compute binary expreesion, left_input=10100, right_input=5948, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲12EB⨸⪁⫶⩼⫲46E∲⫓(⪲⇎⫶⩼⫲D34)=⫶⩼⫲0","reverse_text":"⫶⩼⫲0=⫶⩼⫲12EB⨸⪁⫶⩼⫲46E∲⫓(⪲⇎⫶⩼⫲D34)","cot":[{"info":"⫶⩼⫲12EB⨸⪁⫶⩼⫲46E=⫶⩼⫲2ED5","layer":1},{"info":"⪲⇎⫶⩼⫲D34=⫶⩼⫲1B68","layer":1},{"info":"⫶⩼⫲2ED5∲⫓⫶⩼⫲1B68=⫶⩼⫲0","layer":0}]}
{"id":469,"expression_no_base_symbol":"($3923$-$1189$)-($2441$∸)","expression":"(⫶⩼⫲1268-⫶⩼⫲544)-(⫶⩼⫲ACB∸)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":179,"operation_count":3,"complexity_ratio":59.666666666666664,"tree":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":3923,"base":15},"right_expr":{"type":"numeric_atoms","value":1189,"base":15}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":2441,"base":15}}},"used_operators":["rysDP5nf3Z","o20kRiQErp"],"dependent_operators":["tmPS8pqC7x"],"result":"⫶⩼⫲B57","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=3923","layer":2},{"info":"number node, value=1189","layer":2},{"info":"compute binary expreesion, left_input=3923, right_input=1189, op_id = rysDP5nf3Z binary_op_definition= 'None', output=2734","layer":1},{"info":"number node, value=2441","layer":2},{"info":"compute unary expreesion, input=2441, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":1},{"info":"compute binary expreesion, left_input=2734, right_input=177, op_id = rysDP5nf3Z binary_op_definition= 'None', output=2557","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲1268-⫶⩼⫲544)-(⫶⩼⫲ACB∸)=⫶⩼⫲B57","reverse_text":"⫶⩼⫲B57=(⫶⩼⫲1268-⫶⩼⫲544)-(⫶⩼⫲ACB∸)","cot":[{"info":"⫶⩼⫲1268-⫶⩼⫲544=⫶⩼⫲C24","layer":1},{"info":"⫶⩼⫲ACB∸=⫶⩼⫲BC","layer":1},{"info":"⫶⩼⫲C24-⫶⩼⫲BC=⫶⩼⫲B57","layer":0}]}
{"id":470,"expression_no_base_symbol":"(⫛⫱⨽$2132$)⇼⇔∾$3383$∑⇟⊟$1329$","expression":"(⫛⫱⨽⫶⩼⫲972)⇼⇔∾⫶⩼⫲1008∑⇟⊟⫶⩼⫲5D9","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1425,"operation_count":3,"complexity_ratio":475.0,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":2132,"base":15}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":3383,"base":15},"right_expr":{"type":"numeric_atoms","value":1329,"base":15}}},"used_operators":["tifHPKVTfV","DlLNRPXxWL","U7g4x0WXJJ"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=2132","layer":2},{"info":"compute unary expreesion, input=2132, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":1},{"info":"number node, value=3383","layer":2},{"info":"number node, value=1329","layer":2},{"info":"compute binary expreesion, left_input=3383, right_input=1329, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"(⫛⫱⨽⫶⩼⫲972)⇼⇔∾⫶⩼⫲1008∑⇟⊟⫶⩼⫲5D9=NaN","reverse_text":"NaN=(⫛⫱⨽⫶⩼⫲972)⇼⇔∾⫶⩼⫲1008∑⇟⊟⫶⩼⫲5D9","cot":[{"info":"⫛⫱⨽⫶⩼⫲972=⫶⩼⫲0","layer":1},{"info":"⫶⩼⫲1008∑⇟⊟⫶⩼⫲5D9=NaN","layer":1},{"info":"⫶⩼⫲0⇼⇔∾NaN=NaN","layer":0}]}
{"id":471,"expression_no_base_symbol":"$2785$⪛$6092$⊦⊿","expression":"⫶⩼⫲C5A⪛⫶⩼⫲1C12⊦⊿","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":10,"operation_count":2,"complexity_ratio":5.0,"tree":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2785,"base":15},"right_expr":{"type":"numeric_atoms","value":6092,"base":15}}},"used_operators":["14qkJME0vr","uFcxV4UQCh"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"⫶⩼⫲-2774","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2785","layer":2},{"info":"number node, value=6092","layer":2},{"info":"compute binary expreesion, left_input=2785, right_input=6092, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2785","layer":1},{"info":"compute unary expreesion, input=2785, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-8434","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲C5A⪛⫶⩼⫲1C12⊦⊿=⫶⩼⫲-2774","reverse_text":"⫶⩼⫲-2774=⫶⩼⫲C5A⪛⫶⩼⫲1C12⊦⊿","cot":[{"info":"⫶⩼⫲C5A⪛⫶⩼⫲1C12=⫶⩼⫲C5A","layer":1},{"info":"⫶⩼⫲C5A⊦⊿=⫶⩼⫲-2774","layer":0}]}
{"id":472,"expression_no_base_symbol":"($1141$⫡⨏$4617$)⋥≓≎($2538$⇼⇔∾$1041$)","expression":"(⫶⩼⫲511⫡⨏⫶⩼⫲157C)⋥≓≎(⫶⩼⫲B43⇼⇔∾⫶⩼⫲496)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":13,"operation_count":3,"complexity_ratio":4.333333333333333,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1141,"base":15},"right_expr":{"type":"numeric_atoms","value":4617,"base":15}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2538,"base":15},"right_expr":{"type":"numeric_atoms","value":1041,"base":15}}},"used_operators":["Qy55tPpLXF","QMFrweE19q","tifHPKVTfV"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⫶⩼⫲-5808","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1141","layer":2},{"info":"number node, value=4617","layer":2},{"info":"compute binary expreesion, left_input=1141, right_input=4617, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=15722","layer":1},{"info":"number node, value=2538","layer":2},{"info":"number node, value=1041","layer":2},{"info":"compute binary expreesion, left_input=2538, right_input=1041, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-1497","layer":1},{"info":"compute binary expreesion, left_input=15722, right_input=-1497, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-18683","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲511⫡⨏⫶⩼⫲157C)⋥≓≎(⫶⩼⫲B43⇼⇔∾⫶⩼⫲496)=⫶⩼⫲-5808","reverse_text":"⫶⩼⫲-5808=(⫶⩼⫲511⫡⨏⫶⩼⫲157C)⋥≓≎(⫶⩼⫲B43⇼⇔∾⫶⩼⫲496)","cot":[{"info":"⫶⩼⫲511⫡⨏⫶⩼⫲157C=⫶⩼⫲49D2","layer":1},{"info":"⫶⩼⫲B43⇼⇔∾⫶⩼⫲496=⫶⩼⫲-69C","layer":1},{"info":"⫶⩼⫲49D2⋥≓≎⫶⩼⫲-69C=⫶⩼⫲-5808","layer":0}]}
{"id":473,"expression_no_base_symbol":"($5607$*$1451$)≹⇙⪍($4177$+$1380$)","expression":"(⫶⩼⫲19DC*⫶⩼⫲66B)≹⇙⪍(⫶⩼⫲1387+⫶⩼⫲620)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1453,"operation_count":3,"complexity_ratio":484.3333333333333,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":5607,"base":15},"right_expr":{"type":"numeric_atoms","value":1451,"base":15}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":4177,"base":15},"right_expr":{"type":"numeric_atoms","value":1380,"base":15}}},"used_operators":["AHs5Up7iyr","9HNa5Wba9A","W4YGzv6Whe"],"dependent_operators":["dWAJyo7jo9","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=5607","layer":2},{"info":"number node, value=1451","layer":2},{"info":"compute binary expreesion, left_input=5607, right_input=1451, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=8135757","layer":1},{"info":"number node, value=4177","layer":2},{"info":"number node, value=1380","layer":2},{"info":"compute binary expreesion, left_input=4177, right_input=1380, op_id = W4YGzv6Whe binary_op_definition= 'None', output=5557","layer":1},{"info":"compute binary expreesion, left_input=8135757, right_input=5557, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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":15,"result_base":15,"text":"(⫶⩼⫲19DC*⫶⩼⫲66B)≹⇙⪍(⫶⩼⫲1387+⫶⩼⫲620)=NaN","reverse_text":"NaN=(⫶⩼⫲19DC*⫶⩼⫲66B)≹⇙⪍(⫶⩼⫲1387+⫶⩼⫲620)","cot":[{"info":"⫶⩼⫲19DC*⫶⩼⫲66B=⫶⩼⫲AAA8DC","layer":1},{"info":"⫶⩼⫲1387+⫶⩼⫲620=⫶⩼⫲19A7","layer":1},{"info":"⫶⩼⫲AAA8DC≹⇙⪍⫶⩼⫲19A7=NaN","layer":0}]}
{"id":474,"expression_no_base_symbol":"+⊝⨔($2085$⨽$2845$)","expression":"+⊝⨔(⫶⩼⫲940⨽⫶⩼⫲C9A)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2114,"operation_count":2,"complexity_ratio":1057.0,"tree":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2085,"base":15},"right_expr":{"type":"numeric_atoms","value":2845,"base":15}}},"used_operators":["DhbWaqg5eL","8HhzD0ZcuI"],"dependent_operators":["dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"⫶⩼⫲6B7","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2085","layer":2},{"info":"number node, value=2845","layer":2},{"info":"compute binary expreesion, left_input=2085, right_input=2845, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-13048896","layer":1},{"info":"compute unary expreesion, input=-13048896, op_id = 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":15,"result_base":15,"text":"+⊝⨔(⫶⩼⫲940⨽⫶⩼⫲C9A)=⫶⩼⫲6B7","reverse_text":"⫶⩼⫲6B7=+⊝⨔(⫶⩼⫲940⨽⫶⩼⫲C9A)","cot":[{"info":"⫶⩼⫲940⨽⫶⩼⫲C9A=⫶⩼⫲-122B516","layer":1},{"info":"+⊝⨔⫶⩼⫲-122B516=⫶⩼⫲6B7","layer":0}]}
{"id":475,"expression_no_base_symbol":"$4496$⪢$1510$⪛($2083$⩷∴$1414$)","expression":"⫶⩼⫲14EB⪢⫶⩼⫲6AA⪛(⫶⩼⫲93D⩷∴⫶⩼⫲644)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2149,"operation_count":3,"complexity_ratio":716.3333333333334,"tree":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":4496,"base":15},"right_expr":{"type":"numeric_atoms","value":1510,"base":15}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2083,"base":15},"right_expr":{"type":"numeric_atoms","value":1414,"base":15}}},"used_operators":["uFcxV4UQCh","dWAJyo7jo9","9FxExcQeMw"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","k8jYdgA6NY","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=4496","layer":2},{"info":"number node, value=1510","layer":2},{"info":"compute binary expreesion, left_input=4496, right_input=1510, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=2083","layer":2},{"info":"number node, value=1414","layer":2},{"info":"compute binary expreesion, left_input=2083, right_input=1414, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=1306","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1306, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲14EB⪢⫶⩼⫲6AA⪛(⫶⩼⫲93D⩷∴⫶⩼⫲644)=NaN","reverse_text":"NaN=⫶⩼⫲14EB⪢⫶⩼⫲6AA⪛(⫶⩼⫲93D⩷∴⫶⩼⫲644)","cot":[{"info":"⫶⩼⫲14EB⪢⫶⩼⫲6AA=NaN","layer":1},{"info":"⫶⩼⫲93D⩷∴⫶⩼⫲644=⫶⩼⫲5C1","layer":1},{"info":"NaN⪛⫶⩼⫲5C1=NaN","layer":0}]}
{"id":476,"expression_no_base_symbol":"($8055$-$1551$)⋫","expression":"(⫶⩼⫲25C0-⫶⩼⫲6D6)⋫","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":6505,"operation_count":2,"complexity_ratio":3252.5,"tree":{"type":"unary","operator":"⋫","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":8055,"base":15},"right_expr":{"type":"numeric_atoms","value":1551,"base":15}}},"used_operators":["JL8yIekQnl","rysDP5nf3Z"],"dependent_operators":["tmPS8pqC7x"],"result":"⫶⩼⫲1DD9","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=8055","layer":2},{"info":"number node, value=1551","layer":2},{"info":"compute binary expreesion, left_input=8055, right_input=1551, op_id = rysDP5nf3Z binary_op_definition= 'None', output=6504","layer":1},{"info":"compute unary expreesion, input=6504, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=6504","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲25C0-⫶⩼⫲6D6)⋫=⫶⩼⫲1DD9","reverse_text":"⫶⩼⫲1DD9=(⫶⩼⫲25C0-⫶⩼⫲6D6)⋫","cot":[{"info":"⫶⩼⫲25C0-⫶⩼⫲6D6=⫶⩼⫲1DD9","layer":1},{"info":"⫶⩼⫲1DD9⋫=⫶⩼⫲1DD9","layer":0}]}
{"id":477,"expression_no_base_symbol":"$1371$⨓$8719$⊪","expression":"⫶⩼⫲616⨓⫶⩼⫲28B4⊪","highest_n_order":3,"priority_hierarchical_complexity":1,"normalized_expansion_degree":34908,"operation_count":2,"complexity_ratio":17454.0,"tree":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1371,"base":15},"right_expr":{"type":"numeric_atoms","value":8719,"base":15}}},"used_operators":["zVYPLywUTj","3ViojmjbAp"],"dependent_operators":["sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"⫶⩼⫲46D1C35E","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1371","layer":2},{"info":"number node, value=8719","layer":2},{"info":"compute binary expreesion, left_input=1371, right_input=8719, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-8722","layer":1},{"info":"compute unary expreesion, input=-8722, 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=761745014","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲616⨓⫶⩼⫲28B4⊪=⫶⩼⫲46D1C35E","reverse_text":"⫶⩼⫲46D1C35E=⫶⩼⫲616⨓⫶⩼⫲28B4⊪","cot":[{"info":"⫶⩼⫲616⨓⫶⩼⫲28B4=⫶⩼⫲-28B7","layer":1},{"info":"⫶⩼⫲-28B7⊪=⫶⩼⫲46D1C35E","layer":0}]}
{"id":478,"expression_no_base_symbol":"$6119$≧⫂∧$1727$-$2645$⪛$8097$","expression":"⫶⩼⫲1C2E≧⫂∧⫶⩼⫲7A2-⫶⩼⫲BB5⪛⫶⩼⫲25EC","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6,"operation_count":3,"complexity_ratio":2.0,"tree":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":6119,"base":15},"right_expr":{"type":"numeric_atoms","value":1727,"base":15}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2645,"base":15},"right_expr":{"type":"numeric_atoms","value":8097,"base":15}}},"used_operators":["rysDP5nf3Z","Ph9nP6C5qx","uFcxV4UQCh"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"⫶⩼⫲-62B","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=6119","layer":2},{"info":"number node, value=1727","layer":2},{"info":"compute binary expreesion, left_input=6119, right_input=1727, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1254","layer":1},{"info":"number node, value=2645","layer":2},{"info":"number node, value=8097","layer":2},{"info":"compute binary expreesion, left_input=2645, right_input=8097, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2645","layer":1},{"info":"compute binary expreesion, left_input=1254, right_input=2645, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-1391","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲1C2E≧⫂∧⫶⩼⫲7A2-⫶⩼⫲BB5⪛⫶⩼⫲25EC=⫶⩼⫲-62B","reverse_text":"⫶⩼⫲-62B=⫶⩼⫲1C2E≧⫂∧⫶⩼⫲7A2-⫶⩼⫲BB5⪛⫶⩼⫲25EC","cot":[{"info":"⫶⩼⫲1C2E≧⫂∧⫶⩼⫲7A2=⫶⩼⫲589","layer":1},{"info":"⫶⩼⫲BB5⪛⫶⩼⫲25EC=⫶⩼⫲BB5","layer":1},{"info":"⫶⩼⫲589-⫶⩼⫲BB5=⫶⩼⫲-62B","layer":0}]}
{"id":479,"expression_no_base_symbol":"↯⪼($1478$⪨≂$3579$)","expression":"↯⪼(⫶⩼⫲688⪨≂⫶⩼⫲10D9)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":18,"operation_count":2,"complexity_ratio":9.0,"tree":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1478,"base":15},"right_expr":{"type":"numeric_atoms","value":3579,"base":15}}},"used_operators":["8jW3W4yZS5","sdazOOVcIp"],"dependent_operators":["eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd"],"result":"⫶⩼⫲2258","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1478","layer":2},{"info":"number node, value=3579","layer":2},{"info":"compute binary expreesion, left_input=1478, right_input=3579, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-4100","layer":1},{"info":"compute unary expreesion, input=-4100, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=7283","layer":0}],"base":15,"result_base":15,"text":"↯⪼(⫶⩼⫲688⪨≂⫶⩼⫲10D9)=⫶⩼⫲2258","reverse_text":"⫶⩼⫲2258=↯⪼(⫶⩼⫲688⪨≂⫶⩼⫲10D9)","cot":[{"info":"⫶⩼⫲688⪨≂⫶⩼⫲10D9=⫶⩼⫲-1335","layer":1},{"info":"↯⪼⫶⩼⫲-1335=⫶⩼⫲2258","layer":0}]}
{"id":480,"expression_no_base_symbol":"($2563$↙$1181$)⫥∨⫟($3434$-$9104$)","expression":"(⫶⩼⫲B5D↙⫶⩼⫲53B)⫥∨⫟(⫶⩼⫲103E-⫶⩼⫲2A6E)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1339,"operation_count":3,"complexity_ratio":446.3333333333333,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2563,"base":15},"right_expr":{"type":"numeric_atoms","value":1181,"base":15}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":3434,"base":15},"right_expr":{"type":"numeric_atoms","value":9104,"base":15}}},"used_operators":["KYD54nUTWz","yyfyN0ffXY","rysDP5nf3Z"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","tmPS8pqC7x","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2563","layer":2},{"info":"number node, value=1181","layer":2},{"info":"compute binary expreesion, left_input=2563, right_input=1181, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3543","layer":1},{"info":"number node, value=3434","layer":2},{"info":"number node, value=9104","layer":2},{"info":"compute binary expreesion, left_input=3434, right_input=9104, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-5670","layer":1},{"info":"compute binary expreesion, left_input=-3543, right_input=-5670, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲B5D↙⫶⩼⫲53B)⫥∨⫟(⫶⩼⫲103E-⫶⩼⫲2A6E)=NaN","reverse_text":"NaN=(⫶⩼⫲B5D↙⫶⩼⫲53B)⫥∨⫟(⫶⩼⫲103E-⫶⩼⫲2A6E)","cot":[{"info":"⫶⩼⫲B5D↙⫶⩼⫲53B=⫶⩼⫲-10B3","layer":1},{"info":"⫶⩼⫲103E-⫶⩼⫲2A6E=⫶⩼⫲-1A30","layer":1},{"info":"⫶⩼⫲-10B3⫥∨⫟⫶⩼⫲-1A30=NaN","layer":0}]}
{"id":481,"expression_no_base_symbol":"(⊄⩳↩$2617$)∀⇚≩(⩦⩻⨪$6171$)","expression":"(⊄⩳↩⫶⩼⫲B97)∀⇚≩(⩦⩻⨪⫶⩼⫲1C66)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":54963,"operation_count":3,"complexity_ratio":18321.0,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":2617,"base":15}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":6171,"base":15}}},"used_operators":["LRNGc0VcxI","8w2t5hMYqp","2td37pGCOC"],"dependent_operators":["X99M06cbEe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2617","layer":2},{"info":"compute unary expreesion, input=2617, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-7851","layer":1},{"info":"number node, value=6171","layer":2},{"info":"compute unary expreesion, input=6171, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=6171","layer":1},{"info":"compute binary expreesion, left_input=-7851, right_input=6171, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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":15,"result_base":15,"text":"(⊄⩳↩⫶⩼⫲B97)∀⇚≩(⩦⩻⨪⫶⩼⫲1C66)=NaN","reverse_text":"NaN=(⊄⩳↩⫶⩼⫲B97)∀⇚≩(⩦⩻⨪⫶⩼⫲1C66)","cot":[{"info":"⊄⩳↩⫶⩼⫲B97=⫶⩼⫲-24D6","layer":1},{"info":"⩦⩻⨪⫶⩼⫲1C66=⫶⩼⫲1C66","layer":1},{"info":"⫶⩼⫲-24D6∀⇚≩⫶⩼⫲1C66=NaN","layer":0}]}
{"id":482,"expression_no_base_symbol":"$1476$↙$4436$⊉≛↸$1265$⨪↰⇹$1872$","expression":"⫶⩼⫲686↙⫶⩼⫲14AB⊉≛↸⫶⩼⫲595⨪↰⇹⫶⩼⫲84C","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5708,"operation_count":3,"complexity_ratio":1902.6666666666667,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1476,"base":15},"right_expr":{"type":"numeric_atoms","value":4436,"base":15}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1265,"base":15},"right_expr":{"type":"numeric_atoms","value":1872,"base":15}}},"used_operators":["DZ8iAZOCBD","yyfyN0ffXY","tmPS8pqC7x"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","rJVOvQCfKK"],"result":"⫶⩼⫲-595","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1476","layer":2},{"info":"number node, value=4436","layer":2},{"info":"compute binary expreesion, left_input=1476, right_input=4436, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-13308","layer":1},{"info":"number node, value=1265","layer":2},{"info":"number node, value=1872","layer":2},{"info":"compute binary expreesion, left_input=1265, right_input=1872, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1265","layer":1},{"info":"compute binary expreesion, left_input=-13308, right_input=1265, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=-1265","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲686↙⫶⩼⫲14AB⊉≛↸⫶⩼⫲595⨪↰⇹⫶⩼⫲84C=⫶⩼⫲-595","reverse_text":"⫶⩼⫲-595=⫶⩼⫲686↙⫶⩼⫲14AB⊉≛↸⫶⩼⫲595⨪↰⇹⫶⩼⫲84C","cot":[{"info":"⫶⩼⫲686↙⫶⩼⫲14AB=⫶⩼⫲-3E23","layer":1},{"info":"⫶⩼⫲595⨪↰⇹⫶⩼⫲84C=⫶⩼⫲595","layer":1},{"info":"⫶⩼⫲-3E23⊉≛↸⫶⩼⫲595=⫶⩼⫲-595","layer":0}]}
{"id":483,"expression_no_base_symbol":"⨞⊢($7858$∧)","expression":"⨞⊢(⫶⩼⫲24DD∧)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":8,"operation_count":2,"complexity_ratio":4.0,"tree":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":7858,"base":15}}},"used_operators":["xUOZtlo3hN","z63VuFQld9"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=7858","layer":2},{"info":"compute unary expreesion, input=7858, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"⨞⊢(⫶⩼⫲24DD∧)=NaN","reverse_text":"NaN=⨞⊢(⫶⩼⫲24DD∧)","cot":[{"info":"⫶⩼⫲24DD∧=NaN","layer":1},{"info":"⨞⊢NaN=NaN","layer":0}]}
{"id":484,"expression_no_base_symbol":"($1496$%$1344$)∲⫓$1918$⨳⩥⨓$1333$","expression":"(⫶⩼⫲69B%⫶⩼⫲5E9)∲⫓⫶⩼⫲87D⨳⩥⨓⫶⩼⫲5DD","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5,"operation_count":3,"complexity_ratio":1.6666666666666667,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1496,"base":15},"right_expr":{"type":"numeric_atoms","value":1344,"base":15}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1918,"base":15},"right_expr":{"type":"numeric_atoms","value":1333,"base":15}}},"used_operators":["i8ToyICDmI","k8jYdgA6NY","nCS4ZIUYfx"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z"],"result":"⫶⩼⫲A2","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1496","layer":2},{"info":"number node, value=1344","layer":2},{"info":"compute binary expreesion, left_input=1496, right_input=1344, op_id = k8jYdgA6NY binary_op_definition= 'None', output=152","layer":1},{"info":"number node, value=1918","layer":2},{"info":"number node, value=1333","layer":2},{"info":"compute binary expreesion, left_input=1918, right_input=1333, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-585","layer":1},{"info":"compute binary expreesion, left_input=152, right_input=-585, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=152","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲69B%⫶⩼⫲5E9)∲⫓⫶⩼⫲87D⨳⩥⨓⫶⩼⫲5DD=⫶⩼⫲A2","reverse_text":"⫶⩼⫲A2=(⫶⩼⫲69B%⫶⩼⫲5E9)∲⫓⫶⩼⫲87D⨳⩥⨓⫶⩼⫲5DD","cot":[{"info":"⫶⩼⫲69B%⫶⩼⫲5E9=⫶⩼⫲A2","layer":1},{"info":"⫶⩼⫲87D⨳⩥⨓⫶⩼⫲5DD=⫶⩼⫲-290","layer":1},{"info":"⫶⩼⫲A2∲⫓⫶⩼⫲-290=⫶⩼⫲A2","layer":0}]}
{"id":485,"expression_no_base_symbol":"(⫓⪴$3410$)⪛($2803$⫥∨⫟$2852$)","expression":"(⫓⪴⫶⩼⫲1025)⪛(⫶⩼⫲C6D⫥∨⫟⫶⩼⫲CA2)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3568,"operation_count":3,"complexity_ratio":1189.3333333333333,"tree":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":3410,"base":15}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2803,"base":15},"right_expr":{"type":"numeric_atoms","value":2852,"base":15}}},"used_operators":["uFcxV4UQCh","eLxqMNBOBk","KYD54nUTWz"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","9HNa5Wba9A","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=3410","layer":2},{"info":"compute unary expreesion, input=3410, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=11628100","layer":1},{"info":"number node, value=2803","layer":2},{"info":"number node, value=2852","layer":2},{"info":"compute binary expreesion, left_input=2803, right_input=2852, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=11628100, right_input=nan, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":0}],"base":15,"result_base":15,"text":"(⫓⪴⫶⩼⫲1025)⪛(⫶⩼⫲C6D⫥∨⫟⫶⩼⫲CA2)=NaN","reverse_text":"NaN=(⫓⪴⫶⩼⫲1025)⪛(⫶⩼⫲C6D⫥∨⫟⫶⩼⫲CA2)","cot":[{"info":"⫓⪴⫶⩼⫲1025=⫶⩼⫲104A56A","layer":1},{"info":"⫶⩼⫲C6D⫥∨⫟⫶⩼⫲CA2=NaN","layer":1},{"info":"⫶⩼⫲104A56A⪛NaN=NaN","layer":0}]}
{"id":486,"expression_no_base_symbol":"$2149$∑⇟⊟$2299$⩨($4790$⊠≄⫣)","expression":"⫶⩼⫲984∑⇟⊟⫶⩼⫲A34⩨(⫶⩼⫲1645⊠≄⫣)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":8,"operation_count":3,"complexity_ratio":2.6666666666666665,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":2149,"base":15},"right_expr":{"type":"numeric_atoms","value":2299,"base":15}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":4790,"base":15}}},"used_operators":["2DlMacCsIx","U7g4x0WXJJ","DIvbN7qnHd"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=2149","layer":2},{"info":"number node, value=2299","layer":2},{"info":"compute binary expreesion, left_input=2149, right_input=2299, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=4790","layer":2},{"info":"compute unary expreesion, input=4790, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲984∑⇟⊟⫶⩼⫲A34⩨(⫶⩼⫲1645⊠≄⫣)=NaN","reverse_text":"NaN=⫶⩼⫲984∑⇟⊟⫶⩼⫲A34⩨(⫶⩼⫲1645⊠≄⫣)","cot":[{"info":"⫶⩼⫲984∑⇟⊟⫶⩼⫲A34=NaN","layer":1},{"info":"⫶⩼⫲1645⊠≄⫣=⫶⩼⫲0","layer":1},{"info":"NaN⩨⫶⩼⫲0=NaN","layer":0}]}
{"id":487,"expression_no_base_symbol":"($4052$⊉≛↸$4100$)⨪↰⇹($6228$⪒$2326$)","expression":"(⫶⩼⫲1302⊉≛↸⫶⩼⫲1335)⨪↰⇹(⫶⩼⫲1CA3⪒⫶⩼⫲A51)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":8109,"operation_count":3,"complexity_ratio":2703.0,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":4052,"base":15},"right_expr":{"type":"numeric_atoms","value":4100,"base":15}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":6228,"base":15},"right_expr":{"type":"numeric_atoms","value":2326,"base":15}}},"used_operators":["tmPS8pqC7x","DZ8iAZOCBD","f6k1SAg4EE"],"dependent_operators":["rJVOvQCfKK","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⫶⩼⫲2604","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=4052","layer":2},{"info":"number node, value=4100","layer":2},{"info":"compute binary expreesion, left_input=4052, right_input=4100, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=8104","layer":1},{"info":"number node, value=6228","layer":2},{"info":"number node, value=2326","layer":2},{"info":"compute binary expreesion, left_input=6228, right_input=2326, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-8554","layer":1},{"info":"compute binary expreesion, left_input=8104, right_input=-8554, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=8104","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲1302⊉≛↸⫶⩼⫲1335)⨪↰⇹(⫶⩼⫲1CA3⪒⫶⩼⫲A51)=⫶⩼⫲2604","reverse_text":"⫶⩼⫲2604=(⫶⩼⫲1302⊉≛↸⫶⩼⫲1335)⨪↰⇹(⫶⩼⫲1CA3⪒⫶⩼⫲A51)","cot":[{"info":"⫶⩼⫲1302⊉≛↸⫶⩼⫲1335=⫶⩼⫲2604","layer":1},{"info":"⫶⩼⫲1CA3⪒⫶⩼⫲A51=⫶⩼⫲-2804","layer":1},{"info":"⫶⩼⫲2604⨪↰⇹⫶⩼⫲-2804=⫶⩼⫲2604","layer":0}]}
{"id":488,"expression_no_base_symbol":"($1461$≦≮≮)⊉≛↸($4074$-$1349$)","expression":"(⫶⩼⫲676≦≮≮)⊉≛↸(⫶⩼⫲1319-⫶⩼⫲5EE)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":8,"operation_count":3,"complexity_ratio":2.6666666666666665,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":1461,"base":15}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":4074,"base":15},"right_expr":{"type":"numeric_atoms","value":1349,"base":15}}},"used_operators":["DZ8iAZOCBD","D4vGDi5EA2","rysDP5nf3Z"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⫶⩼⫲-C1A","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1461","layer":2},{"info":"compute unary expreesion, input=1461, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-4383","layer":1},{"info":"number node, value=4074","layer":2},{"info":"number node, value=1349","layer":2},{"info":"compute binary expreesion, left_input=4074, right_input=1349, op_id = rysDP5nf3Z binary_op_definition= 'None', output=2725","layer":1},{"info":"compute binary expreesion, left_input=-4383, right_input=2725, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=-2725","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲676≦≮≮)⊉≛↸(⫶⩼⫲1319-⫶⩼⫲5EE)=⫶⩼⫲-C1A","reverse_text":"⫶⩼⫲-C1A=(⫶⩼⫲676≦≮≮)⊉≛↸(⫶⩼⫲1319-⫶⩼⫲5EE)","cot":[{"info":"⫶⩼⫲676≦≮≮=⫶⩼⫲-1473","layer":1},{"info":"⫶⩼⫲1319-⫶⩼⫲5EE=⫶⩼⫲C1A","layer":1},{"info":"⫶⩼⫲-1473⊉≛↸⫶⩼⫲C1A=⫶⩼⫲-C1A","layer":0}]}
{"id":489,"expression_no_base_symbol":"($1000$≎⊠⪸$1568$)∑⇟⊟($9280$⊉≛↸$6701$)","expression":"(⫶⩼⫲46A≎⊠⪸⫶⩼⫲6E8)∑⇟⊟(⫶⩼⫲2B3A⊉≛↸⫶⩼⫲1EBB)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":273,"operation_count":3,"complexity_ratio":91.0,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1000,"base":15},"right_expr":{"type":"numeric_atoms","value":1568,"base":15}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":9280,"base":15},"right_expr":{"type":"numeric_atoms","value":6701,"base":15}}},"used_operators":["U7g4x0WXJJ","bJkvcejdHO","DZ8iAZOCBD"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1000","layer":2},{"info":"number node, value=1568","layer":2},{"info":"compute binary expreesion, left_input=1000, right_input=1568, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=258527","layer":1},{"info":"number node, value=9280","layer":2},{"info":"number node, value=6701","layer":2},{"info":"compute binary expreesion, left_input=9280, right_input=6701, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=18560","layer":1},{"info":"compute binary expreesion, left_input=258527, right_input=18560, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲46A≎⊠⪸⫶⩼⫲6E8)∑⇟⊟(⫶⩼⫲2B3A⊉≛↸⫶⩼⫲1EBB)=NaN","reverse_text":"NaN=(⫶⩼⫲46A≎⊠⪸⫶⩼⫲6E8)∑⇟⊟(⫶⩼⫲2B3A⊉≛↸⫶⩼⫲1EBB)","cot":[{"info":"⫶⩼⫲46A≎⊠⪸⫶⩼⫲6E8=⫶⩼⫲51902","layer":1},{"info":"⫶⩼⫲2B3A⊉≛↸⫶⩼⫲1EBB=⫶⩼⫲5775","layer":1},{"info":"⫶⩼⫲51902∑⇟⊟⫶⩼⫲5775=NaN","layer":0}]}
{"id":490,"expression_no_base_symbol":"$1032$⪮%⊝$5416$⫌⩹⨱","expression":"⫶⩼⫲48C⪮%⊝⫶⩼⫲1911⫌⩹⨱","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":16,"operation_count":2,"complexity_ratio":8.0,"tree":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1032,"base":15},"right_expr":{"type":"numeric_atoms","value":5416,"base":15}}},"used_operators":["EBcxylXtPf","IWmyXbctLI"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"⫶⩼⫲1C5B","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1032","layer":2},{"info":"number node, value=5416","layer":2},{"info":"compute binary expreesion, left_input=1032, right_input=5416, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=2380","layer":1},{"info":"compute unary expreesion, input=2380, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=6161","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲48C⪮%⊝⫶⩼⫲1911⫌⩹⨱=⫶⩼⫲1C5B","reverse_text":"⫶⩼⫲1C5B=⫶⩼⫲48C⪮%⊝⫶⩼⫲1911⫌⩹⨱","cot":[{"info":"⫶⩼⫲48C⪮%⊝⫶⩼⫲1911=⫶⩼⫲A8A","layer":1},{"info":"⫶⩼⫲A8A⫌⩹⨱=⫶⩼⫲1C5B","layer":0}]}
{"id":491,"expression_no_base_symbol":"($1785$⨰$2839$)∼(⫓⪴$2924$)","expression":"(⫶⩼⫲7E0⨰⫶⩼⫲C94)∼(⫓⪴⫶⩼⫲CEE)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2952,"operation_count":3,"complexity_ratio":984.0,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1785,"base":15},"right_expr":{"type":"numeric_atoms","value":2839,"base":15}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":2924,"base":15}}},"used_operators":["DyGG3AbaNP","eewbuw0ToL","eLxqMNBOBk"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1785","layer":2},{"info":"number node, value=2839","layer":2},{"info":"compute binary expreesion, left_input=1785, right_input=2839, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-1044","layer":1},{"info":"number node, value=2924","layer":2},{"info":"compute unary expreesion, input=2924, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=8549776","layer":1},{"info":"compute binary expreesion, left_input=-1044, right_input=8549776, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲7E0⨰⫶⩼⫲C94)∼(⫓⪴⫶⩼⫲CEE)=NaN","reverse_text":"NaN=(⫶⩼⫲7E0⨰⫶⩼⫲C94)∼(⫓⪴⫶⩼⫲CEE)","cot":[{"info":"⫶⩼⫲7E0⨰⫶⩼⫲C94=⫶⩼⫲-499","layer":1},{"info":"⫓⪴⫶⩼⫲CEE=⫶⩼⫲B3D401","layer":1},{"info":"⫶⩼⫲-499∼⫶⩼⫲B3D401=NaN","layer":0}]}
{"id":492,"expression_no_base_symbol":"$1010$∑⇟⊟$4823$⊪","expression":"⫶⩼⫲475∑⇟⊟⫶⩼⫲1668⊪","highest_n_order":4,"priority_hierarchical_complexity":1,"normalized_expansion_degree":14,"operation_count":2,"complexity_ratio":7.0,"tree":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1010,"base":15},"right_expr":{"type":"numeric_atoms","value":4823,"base":15}}},"used_operators":["zVYPLywUTj","U7g4x0WXJJ"],"dependent_operators":["sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1010","layer":2},{"info":"number node, value=4823","layer":2},{"info":"compute binary expreesion, left_input=1010, right_input=4823, 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 = 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":15,"result_base":15,"text":"⫶⩼⫲475∑⇟⊟⫶⩼⫲1668⊪=NaN","reverse_text":"NaN=⫶⩼⫲475∑⇟⊟⫶⩼⫲1668⊪","cot":[{"info":"⫶⩼⫲475∑⇟⊟⫶⩼⫲1668=NaN","layer":1},{"info":"NaN⊪=NaN","layer":0}]}
{"id":493,"expression_no_base_symbol":"($1153$⪨≂$2002$)≎⊠⪸(↔$1507$)","expression":"(⫶⩼⫲51D⪨≂⫶⩼⫲8D7)≎⊠⪸(↔⫶⩼⫲6A7)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":23,"operation_count":3,"complexity_ratio":7.666666666666667,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1153,"base":15},"right_expr":{"type":"numeric_atoms","value":2002,"base":15}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":1507,"base":15}}},"used_operators":["bJkvcejdHO","sdazOOVcIp","ruOEQAzv1W"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp"],"result":"⫶⩼⫲47","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1153","layer":2},{"info":"number node, value=2002","layer":2},{"info":"compute binary expreesion, left_input=1153, right_input=2002, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-1596","layer":1},{"info":"number node, value=1507","layer":2},{"info":"compute unary expreesion, input=1507, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-1234","layer":1},{"info":"compute binary expreesion, left_input=-1596, right_input=-1234, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲51D⪨≂⫶⩼⫲8D7)≎⊠⪸(↔⫶⩼⫲6A7)=⫶⩼⫲47","reverse_text":"⫶⩼⫲47=(⫶⩼⫲51D⪨≂⫶⩼⫲8D7)≎⊠⪸(↔⫶⩼⫲6A7)","cot":[{"info":"⫶⩼⫲51D⪨≂⫶⩼⫲8D7=⫶⩼⫲-716","layer":1},{"info":"↔⫶⩼⫲6A7=⫶⩼⫲-574","layer":1},{"info":"⫶⩼⫲-716≎⊠⪸⫶⩼⫲-574=⫶⩼⫲47","layer":0}]}
{"id":494,"expression_no_base_symbol":"(⊙↵-$1569$)⪠⩆⊳","expression":"(⊙↵-⫶⩼⫲6E9)⪠⩆⊳","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1621,"operation_count":2,"complexity_ratio":810.5,"tree":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1569,"base":15}}},"used_operators":["JLbD19bQDL","oWn0xqSxBt"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X"],"result":"⫶⩼⫲0","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1569","layer":2},{"info":"compute unary expreesion, input=1569, 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 = 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":15,"result_base":15,"text":"(⊙↵-⫶⩼⫲6E9)⪠⩆⊳=⫶⩼⫲0","reverse_text":"⫶⩼⫲0=(⊙↵-⫶⩼⫲6E9)⪠⩆⊳","cot":[{"info":"⊙↵-⫶⩼⫲6E9=⫶⩼⫲-1","layer":1},{"info":"⫶⩼⫲-1⪠⩆⊳=⫶⩼⫲0","layer":0}]}
{"id":495,"expression_no_base_symbol":"($8921$⨵⪆$3887$)⩚⊴⇥($1237$⊭∹↮)","expression":"(⫶⩼⫲299B⨵⪆⫶⩼⫲1242)⩚⊴⇥(⫶⩼⫲577⊭∹↮)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":10,"operation_count":3,"complexity_ratio":3.3333333333333335,"tree":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":8921,"base":15},"right_expr":{"type":"numeric_atoms","value":3887,"base":15}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":1237,"base":15}}},"used_operators":["NTOWxs364D","2DQ55sFlQl","xNBdhnnwKq"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C"],"result":"⫶⩼⫲-C3A","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=8921","layer":2},{"info":"number node, value=3887","layer":2},{"info":"compute binary expreesion, left_input=8921, right_input=3887, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=1237","layer":2},{"info":"compute unary expreesion, input=1237, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=2474","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=2474, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-2755","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲299B⨵⪆⫶⩼⫲1242)⩚⊴⇥(⫶⩼⫲577⊭∹↮)=⫶⩼⫲-C3A","reverse_text":"⫶⩼⫲-C3A=(⫶⩼⫲299B⨵⪆⫶⩼⫲1242)⩚⊴⇥(⫶⩼⫲577⊭∹↮)","cot":[{"info":"⫶⩼⫲299B⨵⪆⫶⩼⫲1242=⫶⩼⫲AA","layer":1},{"info":"⫶⩼⫲577⊭∹↮=⫶⩼⫲AEE","layer":1},{"info":"⫶⩼⫲AA⩚⊴⇥⫶⩼⫲AEE=⫶⩼⫲-C3A","layer":0}]}
{"id":496,"expression_no_base_symbol":"$4437$≭$1613$⫥∨⫟$1679$⋓$2415$","expression":"⫶⩼⫲14AC≭⫶⩼⫲728⫥∨⫟⫶⩼⫲76E⋓⫶⩼⫲AB0","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":168,"operation_count":3,"complexity_ratio":56.0,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":4437,"base":15},"right_expr":{"type":"numeric_atoms","value":1613,"base":15}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1679,"base":15},"right_expr":{"type":"numeric_atoms","value":2415,"base":15}}},"used_operators":["KYD54nUTWz","rxpJgHHUmx","T2fj7uvVaJ"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","AHs5Up7iyr","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=4437","layer":2},{"info":"number node, value=1613","layer":2},{"info":"compute binary expreesion, left_input=4437, right_input=1613, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=1679","layer":2},{"info":"number node, value=2415","layer":2},{"info":"compute binary expreesion, left_input=1679, right_input=2415, op_id = T2fj7uvVaJ binary_op_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 = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲14AC≭⫶⩼⫲728⫥∨⫟⫶⩼⫲76E⋓⫶⩼⫲AB0=NaN","reverse_text":"NaN=⫶⩼⫲14AC≭⫶⩼⫲728⫥∨⫟⫶⩼⫲76E⋓⫶⩼⫲AB0","cot":[{"info":"⫶⩼⫲14AC≭⫶⩼⫲728=NaN","layer":1},{"info":"⫶⩼⫲76E⋓⫶⩼⫲AB0=⫶⩼⫲0","layer":1},{"info":"NaN⫥∨⫟⫶⩼⫲0=NaN","layer":0}]}
{"id":497,"expression_no_base_symbol":"($1757$⩤)≎⊠⪸($3616$⋳⪒$3864$)","expression":"(⫶⩼⫲7C2⩤)≎⊠⪸(⫶⩼⫲1111⋳⪒⫶⩼⫲1229)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":279,"operation_count":3,"complexity_ratio":93.0,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":1757,"base":15}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":3616,"base":15},"right_expr":{"type":"numeric_atoms","value":3864,"base":15}}},"used_operators":["bJkvcejdHO","Z2TMIBDE3Q","12rbrZMWeM"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⫶⩼⫲8EC78","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1757","layer":2},{"info":"compute unary expreesion, input=1757, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-1757","layer":1},{"info":"number node, value=3616","layer":2},{"info":"number node, value=3864","layer":2},{"info":"compute binary expreesion, left_input=3616, right_input=3864, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=3081","layer":1},{"info":"compute binary expreesion, left_input=-1757, right_input=3081, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=455063","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲7C2⩤)≎⊠⪸(⫶⩼⫲1111⋳⪒⫶⩼⫲1229)=⫶⩼⫲8EC78","reverse_text":"⫶⩼⫲8EC78=(⫶⩼⫲7C2⩤)≎⊠⪸(⫶⩼⫲1111⋳⪒⫶⩼⫲1229)","cot":[{"info":"⫶⩼⫲7C2⩤=⫶⩼⫲-7C2","layer":1},{"info":"⫶⩼⫲1111⋳⪒⫶⩼⫲1229=⫶⩼⫲DA6","layer":1},{"info":"⫶⩼⫲-7C2≎⊠⪸⫶⩼⫲DA6=⫶⩼⫲8EC78","layer":0}]}
{"id":498,"expression_no_base_symbol":"($3742$⪨≂$4626$)⩨$2100$↬$1166$","expression":"(⫶⩼⫲1197⪨≂⫶⩼⫲1586)⩨⫶⩼⫲950↬⫶⩼⫲52B","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":10,"operation_count":3,"complexity_ratio":3.3333333333333335,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":3742,"base":15},"right_expr":{"type":"numeric_atoms","value":4626,"base":15}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2100,"base":15},"right_expr":{"type":"numeric_atoms","value":1166,"base":15}}},"used_operators":["2DlMacCsIx","sdazOOVcIp","B5M0gjZbta"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=3742","layer":2},{"info":"number node, value=4626","layer":2},{"info":"compute binary expreesion, left_input=3742, right_input=4626, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-1666","layer":1},{"info":"number node, value=2100","layer":2},{"info":"number node, value=1166","layer":2},{"info":"compute binary expreesion, left_input=2100, right_input=1166, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=-1666, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲1197⪨≂⫶⩼⫲1586)⩨⫶⩼⫲950↬⫶⩼⫲52B=NaN","reverse_text":"NaN=(⫶⩼⫲1197⪨≂⫶⩼⫲1586)⩨⫶⩼⫲950↬⫶⩼⫲52B","cot":[{"info":"⫶⩼⫲1197⪨≂⫶⩼⫲1586=⫶⩼⫲-761","layer":1},{"info":"⫶⩼⫲950↬⫶⩼⫲52B=NaN","layer":1},{"info":"⫶⩼⫲-761⩨NaN=NaN","layer":0}]}
{"id":499,"expression_no_base_symbol":"(⫓⪴$1589$)⨰($1114$⩨$1110$)","expression":"(⫓⪴⫶⩼⫲70E)⨰(⫶⩼⫲4E4⩨⫶⩼⫲4E0)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1599,"operation_count":3,"complexity_ratio":533.0,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":1589,"base":15}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1114,"base":15},"right_expr":{"type":"numeric_atoms","value":1110,"base":15}}},"used_operators":["eewbuw0ToL","eLxqMNBOBk","2DlMacCsIx"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"⫶⩼⫲34D1DB","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1589","layer":2},{"info":"compute unary expreesion, input=1589, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=2524921","layer":1},{"info":"number node, value=1114","layer":2},{"info":"number node, value=1110","layer":2},{"info":"compute binary expreesion, left_input=1114, right_input=1110, 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=2524921, right_input=0, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=2524931","layer":0}],"base":15,"result_base":15,"text":"(⫓⪴⫶⩼⫲70E)⨰(⫶⩼⫲4E4⩨⫶⩼⫲4E0)=⫶⩼⫲34D1DB","reverse_text":"⫶⩼⫲34D1DB=(⫓⪴⫶⩼⫲70E)⨰(⫶⩼⫲4E4⩨⫶⩼⫲4E0)","cot":[{"info":"⫓⪴⫶⩼⫲70E=⫶⩼⫲34D1D1","layer":1},{"info":"⫶⩼⫲4E4⩨⫶⩼⫲4E0=⫶⩼⫲0","layer":1},{"info":"⫶⩼⫲34D1D1⨰⫶⩼⫲0=⫶⩼⫲34D1DB","layer":0}]}
{"id":500,"expression_no_base_symbol":"⪲⇎$1032$⋳⪒$2163$","expression":"⪲⇎⫶⩼⫲48C⋳⪒⫶⩼⫲993","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":9,"operation_count":2,"complexity_ratio":4.5,"tree":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1032,"base":15},"right_expr":{"type":"numeric_atoms","value":2163,"base":15}}},"used_operators":["XPYlsWDdGa","12rbrZMWeM"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⫶⩼⫲-367","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1032","layer":2},{"info":"number node, value=2163","layer":2},{"info":"compute binary expreesion, left_input=1032, right_input=2163, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-386","layer":1},{"info":"compute unary expreesion, input=-386, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=-772","layer":0}],"base":15,"result_base":15,"text":"⪲⇎⫶⩼⫲48C⋳⪒⫶⩼⫲993=⫶⩼⫲-367","reverse_text":"⫶⩼⫲-367=⪲⇎⫶⩼⫲48C⋳⪒⫶⩼⫲993","cot":[{"info":"⫶⩼⫲48C⋳⪒⫶⩼⫲993=⫶⩼⫲-1AB","layer":1},{"info":"⪲⇎⫶⩼⫲-1AB=⫶⩼⫲-367","layer":0}]}
{"id":501,"expression_no_base_symbol":"↥$6962$⊴$1511$","expression":"↥⫶⩼⫲20E2⊴⫶⩼⫲6AB","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5842,"operation_count":2,"complexity_ratio":2921.0,"tree":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":6962,"base":15},"right_expr":{"type":"numeric_atoms","value":1511,"base":15}}},"used_operators":["A8NUZmVepG","Nsiff2A1zJ"],"dependent_operators":["k8jYdgA6NY","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=6962","layer":2},{"info":"number node, value=1511","layer":2},{"info":"compute binary expreesion, left_input=6962, right_input=1511, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"↥⫶⩼⫲20E2⊴⫶⩼⫲6AB=NaN","reverse_text":"NaN=↥⫶⩼⫲20E2⊴⫶⩼⫲6AB","cot":[{"info":"⫶⩼⫲20E2⊴⫶⩼⫲6AB=NaN","layer":1},{"info":"↥NaN=NaN","layer":0}]}
{"id":502,"expression_no_base_symbol":"($1183$/$1570$)≫≃","expression":"(⫶⩼⫲53D/⫶⩼⫲6EA)≫≃","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":8,"operation_count":2,"complexity_ratio":4.0,"tree":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1183,"base":15},"right_expr":{"type":"numeric_atoms","value":1570,"base":15}}},"used_operators":["X99M06cbEe","XhwjNDsVaA"],"dependent_operators":["2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rysDP5nf3Z"],"result":"⫶⩼⫲636","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1183","layer":2},{"info":"number node, value=1570","layer":2},{"info":"compute binary expreesion, left_input=1183, right_input=1570, op_id = XhwjNDsVaA binary_op_definition= 'None', 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":15,"result_base":15,"text":"(⫶⩼⫲53D/⫶⩼⫲6EA)≫≃=⫶⩼⫲636","reverse_text":"⫶⩼⫲636=(⫶⩼⫲53D/⫶⩼⫲6EA)≫≃","cot":[{"info":"⫶⩼⫲53D/⫶⩼⫲6EA=⫶⩼⫲0","layer":1},{"info":"⫶⩼⫲0≫≃=⫶⩼⫲636","layer":0}]}
{"id":503,"expression_no_base_symbol":"$4856$⋥≓≎$7676$⋷$4296$⨟⋌⩍$1225$","expression":"⫶⩼⫲168B⋥≓≎⫶⩼⫲241B⋷⫶⩼⫲1416⨟⋌⩍⫶⩼⫲56A","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":8,"operation_count":3,"complexity_ratio":2.6666666666666665,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":4856,"base":15},"right_expr":{"type":"numeric_atoms","value":7676,"base":15}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":4296,"base":15},"right_expr":{"type":"numeric_atoms","value":1225,"base":15}}},"used_operators":["23Mk6UjR3U","Qy55tPpLXF","rGHVDoGpnC"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=4856","layer":2},{"info":"number node, value=7676","layer":2},{"info":"compute binary expreesion, left_input=4856, right_input=7676, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=10529","layer":1},{"info":"number node, value=4296","layer":2},{"info":"number node, value=1225","layer":2},{"info":"compute binary expreesion, left_input=4296, right_input=1225, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=10529, 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":15,"result_base":15,"text":"⫶⩼⫲168B⋥≓≎⫶⩼⫲241B⋷⫶⩼⫲1416⨟⋌⩍⫶⩼⫲56A=NaN","reverse_text":"NaN=⫶⩼⫲168B⋥≓≎⫶⩼⫲241B⋷⫶⩼⫲1416⨟⋌⩍⫶⩼⫲56A","cot":[{"info":"⫶⩼⫲168B⋥≓≎⫶⩼⫲241B=⫶⩼⫲31BE","layer":1},{"info":"⫶⩼⫲1416⨟⋌⩍⫶⩼⫲56A=NaN","layer":1},{"info":"⫶⩼⫲31BE⋷NaN=NaN","layer":0}]}
{"id":504,"expression_no_base_symbol":"($3273$≭$4770$)≧⫂∧($2863$⪠⩆⊳)","expression":"(⫶⩼⫲E83≭⫶⩼⫲1630)≧⫂∧(⫶⩼⫲CAD⪠⩆⊳)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":8,"operation_count":3,"complexity_ratio":2.6666666666666665,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":3273,"base":15},"right_expr":{"type":"numeric_atoms","value":4770,"base":15}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":2863,"base":15}}},"used_operators":["Ph9nP6C5qx","rxpJgHHUmx","JLbD19bQDL"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫶⩼⫲-218","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=3273","layer":2},{"info":"number node, value=4770","layer":2},{"info":"compute binary expreesion, left_input=3273, right_input=4770, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"number node, value=2863","layer":2},{"info":"compute unary expreesion, input=2863, op_id = 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 = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-473","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲E83≭⫶⩼⫲1630)≧⫂∧(⫶⩼⫲CAD⪠⩆⊳)=⫶⩼⫲-218","reverse_text":"⫶⩼⫲-218=(⫶⩼⫲E83≭⫶⩼⫲1630)≧⫂∧(⫶⩼⫲CAD⪠⩆⊳)","cot":[{"info":"⫶⩼⫲E83≭⫶⩼⫲1630=NaN","layer":1},{"info":"⫶⩼⫲CAD⪠⩆⊳=⫶⩼⫲0","layer":1},{"info":"NaN≧⫂∧⫶⩼⫲0=⫶⩼⫲-218","layer":0}]}
{"id":505,"expression_no_base_symbol":"(⊙↵-$1477$)∼($1082$∼$1363$)","expression":"(⊙↵-⫶⩼⫲687)∼(⫶⩼⫲4C2∼⫶⩼⫲60D)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1549,"operation_count":3,"complexity_ratio":516.3333333333334,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1477,"base":15}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1082,"base":15},"right_expr":{"type":"numeric_atoms","value":1363,"base":15}}},"used_operators":["DyGG3AbaNP","oWn0xqSxBt"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1477","layer":2},{"info":"compute unary expreesion, input=1477, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":1},{"info":"number node, value=1082","layer":2},{"info":"number node, value=1363","layer":2},{"info":"compute binary expreesion, left_input=1082, right_input=1363, 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=-1, 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":15,"result_base":15,"text":"(⊙↵-⫶⩼⫲687)∼(⫶⩼⫲4C2∼⫶⩼⫲60D)=NaN","reverse_text":"NaN=(⊙↵-⫶⩼⫲687)∼(⫶⩼⫲4C2∼⫶⩼⫲60D)","cot":[{"info":"⊙↵-⫶⩼⫲687=⫶⩼⫲-1","layer":1},{"info":"⫶⩼⫲4C2∼⫶⩼⫲60D=NaN","layer":1},{"info":"⫶⩼⫲-1∼NaN=NaN","layer":0}]}
{"id":506,"expression_no_base_symbol":"($2703$⋫)⪄$4114$+⇶⊼$2552$","expression":"(⫶⩼⫲C03⋫)⪄⫶⩼⫲1344+⇶⊼⫶⩼⫲B52","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2798,"operation_count":3,"complexity_ratio":932.6666666666666,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":2703,"base":15}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":4114,"base":15},"right_expr":{"type":"numeric_atoms","value":2552,"base":15}}},"used_operators":["SUmda5xLS4","JL8yIekQnl","TpPTUOHfaN"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","tmPS8pqC7x","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=2703","layer":2},{"info":"compute unary expreesion, input=2703, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=2703","layer":1},{"info":"number node, value=4114","layer":2},{"info":"number node, value=2552","layer":2},{"info":"compute binary expreesion, left_input=4114, right_input=2552, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=2703, 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":15,"result_base":15,"text":"(⫶⩼⫲C03⋫)⪄⫶⩼⫲1344+⇶⊼⫶⩼⫲B52=NaN","reverse_text":"NaN=(⫶⩼⫲C03⋫)⪄⫶⩼⫲1344+⇶⊼⫶⩼⫲B52","cot":[{"info":"⫶⩼⫲C03⋫=⫶⩼⫲C03","layer":1},{"info":"⫶⩼⫲1344+⇶⊼⫶⩼⫲B52=NaN","layer":1},{"info":"⫶⩼⫲C03⪄NaN=NaN","layer":0}]}
{"id":507,"expression_no_base_symbol":"$1083$∼$5058$⪘⫢(↩$2000$)","expression":"⫶⩼⫲4C3∼⫶⩼⫲1773⪘⫢(↩⫶⩼⫲8D5)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":48,"operation_count":3,"complexity_ratio":16.0,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1083,"base":15},"right_expr":{"type":"numeric_atoms","value":5058,"base":15}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":2000,"base":15}}},"used_operators":["oacrs7FA3X","DyGG3AbaNP","jLgFTUHLKL"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1083","layer":2},{"info":"number node, value=5058","layer":2},{"info":"compute binary expreesion, left_input=1083, right_input=5058, 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=2000","layer":2},{"info":"compute unary expreesion, input=2000, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-13220","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-13220, 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":15,"result_base":15,"text":"⫶⩼⫲4C3∼⫶⩼⫲1773⪘⫢(↩⫶⩼⫲8D5)=NaN","reverse_text":"NaN=⫶⩼⫲4C3∼⫶⩼⫲1773⪘⫢(↩⫶⩼⫲8D5)","cot":[{"info":"⫶⩼⫲4C3∼⫶⩼⫲1773=NaN","layer":1},{"info":"↩⫶⩼⫲8D5=⫶⩼⫲-3DB5","layer":1},{"info":"NaN⪘⫢⫶⩼⫲-3DB5=NaN","layer":0}]}
{"id":508,"expression_no_base_symbol":"(⨑⩽⪐$2677$)⩚⊴⇥($3184$-$7890$)","expression":"(⨑⩽⪐⫶⩼⫲BD7)⩚⊴⇥(⫶⩼⫲E24-⫶⩼⫲2510)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":8,"operation_count":3,"complexity_ratio":2.6666666666666665,"tree":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":2677,"base":15}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":3184,"base":15},"right_expr":{"type":"numeric_atoms","value":7890,"base":15}}},"used_operators":["NTOWxs364D","AF7qkfDlqP","rysDP5nf3Z"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"⫶⩼⫲210E","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2677","layer":2},{"info":"compute unary expreesion, input=2677, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-2404","layer":1},{"info":"number node, value=3184","layer":2},{"info":"number node, value=7890","layer":2},{"info":"compute binary expreesion, left_input=3184, right_input=7890, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-4706","layer":1},{"info":"compute binary expreesion, left_input=-2404, right_input=-4706, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=6989","layer":0}],"base":15,"result_base":15,"text":"(⨑⩽⪐⫶⩼⫲BD7)⩚⊴⇥(⫶⩼⫲E24-⫶⩼⫲2510)=⫶⩼⫲210E","reverse_text":"⫶⩼⫲210E=(⨑⩽⪐⫶⩼⫲BD7)⩚⊴⇥(⫶⩼⫲E24-⫶⩼⫲2510)","cot":[{"info":"⨑⩽⪐⫶⩼⫲BD7=⫶⩼⫲-AA4","layer":1},{"info":"⫶⩼⫲E24-⫶⩼⫲2510=⫶⩼⫲-15DB","layer":1},{"info":"⫶⩼⫲-AA4⩚⊴⇥⫶⩼⫲-15DB=⫶⩼⫲210E","layer":0}]}
{"id":509,"expression_no_base_symbol":"($6412$⨸⪁$3028$)⪢($1353$⊭↱$1593$)","expression":"(⫶⩼⫲1D77⨸⪁⫶⩼⫲D6D)⪢(⫶⩼⫲603⊭↱⫶⩼⫲713)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":777,"operation_count":3,"complexity_ratio":259.0,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":6412,"base":15},"right_expr":{"type":"numeric_atoms","value":3028,"base":15}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1353,"base":15},"right_expr":{"type":"numeric_atoms","value":1593,"base":15}}},"used_operators":["dWAJyo7jo9","g55IO6H4Gj","COABgblf1C"],"dependent_operators":["k8jYdgA6NY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=6412","layer":2},{"info":"number node, value=3028","layer":2},{"info":"compute binary expreesion, left_input=6412, right_input=3028, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=18880","layer":1},{"info":"number node, value=1353","layer":2},{"info":"number node, value=1593","layer":2},{"info":"compute binary expreesion, left_input=1353, right_input=1593, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=485","layer":1},{"info":"compute binary expreesion, left_input=18880, right_input=485, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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":15,"result_base":15,"text":"(⫶⩼⫲1D77⨸⪁⫶⩼⫲D6D)⪢(⫶⩼⫲603⊭↱⫶⩼⫲713)=NaN","reverse_text":"NaN=(⫶⩼⫲1D77⨸⪁⫶⩼⫲D6D)⪢(⫶⩼⫲603⊭↱⫶⩼⫲713)","cot":[{"info":"⫶⩼⫲1D77⨸⪁⫶⩼⫲D6D=⫶⩼⫲58DA","layer":1},{"info":"⫶⩼⫲603⊭↱⫶⩼⫲713=⫶⩼⫲225","layer":1},{"info":"⫶⩼⫲58DA⪢⫶⩼⫲225=NaN","layer":0}]}
{"id":510,"expression_no_base_symbol":"⊥($2762$⪠⩆⊳)","expression":"⊥(⫶⩼⫲C42⪠⩆⊳)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":7,"operation_count":2,"complexity_ratio":3.5,"tree":{"type":"unary","operator":"⊥","unary_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":2762,"base":15}}},"used_operators":["Q3PJZHRvZv","JLbD19bQDL"],"dependent_operators":["fu6greOZ01","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫶⩼⫲0","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=2762","layer":2},{"info":"compute unary expreesion, input=2762, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=0","layer":0}],"base":15,"result_base":15,"text":"⊥(⫶⩼⫲C42⪠⩆⊳)=⫶⩼⫲0","reverse_text":"⫶⩼⫲0=⊥(⫶⩼⫲C42⪠⩆⊳)","cot":[{"info":"⫶⩼⫲C42⪠⩆⊳=⫶⩼⫲0","layer":1},{"info":"⊥⫶⩼⫲0=⫶⩼⫲0","layer":0}]}
{"id":511,"expression_no_base_symbol":"(⊥$2101$)↺$2836$⪮%⊝$3979$","expression":"(⊥⫶⩼⫲951)↺⫶⩼⫲C91⪮%⊝⫶⩼⫲12A4","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":12,"operation_count":3,"complexity_ratio":4.0,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":2101,"base":15}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2836,"base":15},"right_expr":{"type":"numeric_atoms","value":3979,"base":15}}},"used_operators":["7j4O788W3g","Q3PJZHRvZv","IWmyXbctLI"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","fu6greOZ01","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"⫶⩼⫲1B93","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=2101","layer":2},{"info":"compute unary expreesion, input=2101, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":1},{"info":"number node, value=2836","layer":2},{"info":"number node, value=3979","layer":2},{"info":"compute binary expreesion, left_input=2836, right_input=3979, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=5988","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=5988, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=5988","layer":0}],"base":15,"result_base":15,"text":"(⊥⫶⩼⫲951)↺⫶⩼⫲C91⪮%⊝⫶⩼⫲12A4=⫶⩼⫲1B93","reverse_text":"⫶⩼⫲1B93=(⊥⫶⩼⫲951)↺⫶⩼⫲C91⪮%⊝⫶⩼⫲12A4","cot":[{"info":"⊥⫶⩼⫲951=NaN","layer":1},{"info":"⫶⩼⫲C91⪮%⊝⫶⩼⫲12A4=⫶⩼⫲1B93","layer":1},{"info":"NaN↺⫶⩼⫲1B93=⫶⩼⫲1B93","layer":0}]}
{"id":512,"expression_no_base_symbol":"($5749$∧)⪘⫢(⊄⩳↩$4413$)","expression":"(⫶⩼⫲1A84∧)⪘⫢(⊄⩳↩⫶⩼⫲1493)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":18,"operation_count":3,"complexity_ratio":6.0,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":5749,"base":15}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":4413,"base":15}}},"used_operators":["oacrs7FA3X","z63VuFQld9","8w2t5hMYqp"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=5749","layer":2},{"info":"compute unary expreesion, input=5749, 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=4413","layer":2},{"info":"compute unary expreesion, input=4413, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-13239","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-13239, 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":15,"result_base":15,"text":"(⫶⩼⫲1A84∧)⪘⫢(⊄⩳↩⫶⩼⫲1493)=NaN","reverse_text":"NaN=(⫶⩼⫲1A84∧)⪘⫢(⊄⩳↩⫶⩼⫲1493)","cot":[{"info":"⫶⩼⫲1A84∧=NaN","layer":1},{"info":"⊄⩳↩⫶⩼⫲1493=⫶⩼⫲-3DC9","layer":1},{"info":"NaN⪘⫢⫶⩼⫲-3DC9=NaN","layer":0}]}
{"id":513,"expression_no_base_symbol":"⪲⇎($1282$⨸⪁$3569$)","expression":"⪲⇎(⫶⩼⫲5A7⨸⪁⫶⩼⫲10CE)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5,"operation_count":2,"complexity_ratio":2.5,"tree":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1282,"base":15},"right_expr":{"type":"numeric_atoms","value":3569,"base":15}}},"used_operators":["XPYlsWDdGa","g55IO6H4Gj"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe"],"result":"⫶⩼⫲5B39","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1282","layer":2},{"info":"number node, value=3569","layer":2},{"info":"compute binary expreesion, left_input=1282, right_input=3569, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=9702","layer":1},{"info":"compute unary expreesion, input=9702, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=19404","layer":0}],"base":15,"result_base":15,"text":"⪲⇎(⫶⩼⫲5A7⨸⪁⫶⩼⫲10CE)=⫶⩼⫲5B39","reverse_text":"⫶⩼⫲5B39=⪲⇎(⫶⩼⫲5A7⨸⪁⫶⩼⫲10CE)","cot":[{"info":"⫶⩼⫲5A7⨸⪁⫶⩼⫲10CE=⫶⩼⫲2D1C","layer":1},{"info":"⪲⇎⫶⩼⫲2D1C=⫶⩼⫲5B39","layer":0}]}
{"id":514,"expression_no_base_symbol":"($1269$⪛$1366$)≹⇙⪍($2948$⪒$7076$)","expression":"(⫶⩼⫲599⪛⫶⩼⫲611)≹⇙⪍(⫶⩼⫲D18⪒⫶⩼⫲216B)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":8,"operation_count":3,"complexity_ratio":2.6666666666666665,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1269,"base":15},"right_expr":{"type":"numeric_atoms","value":1366,"base":15}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2948,"base":15},"right_expr":{"type":"numeric_atoms","value":7076,"base":15}}},"used_operators":["AHs5Up7iyr","uFcxV4UQCh","f6k1SAg4EE"],"dependent_operators":["dWAJyo7jo9","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1269","layer":2},{"info":"number node, value=1366","layer":2},{"info":"compute binary expreesion, left_input=1269, right_input=1366, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1269","layer":1},{"info":"number node, value=2948","layer":2},{"info":"number node, value=7076","layer":2},{"info":"compute binary expreesion, left_input=2948, right_input=7076, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-10024","layer":1},{"info":"compute binary expreesion, left_input=1269, right_input=-10024, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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":15,"result_base":15,"text":"(⫶⩼⫲599⪛⫶⩼⫲611)≹⇙⪍(⫶⩼⫲D18⪒⫶⩼⫲216B)=NaN","reverse_text":"NaN=(⫶⩼⫲599⪛⫶⩼⫲611)≹⇙⪍(⫶⩼⫲D18⪒⫶⩼⫲216B)","cot":[{"info":"⫶⩼⫲599⪛⫶⩼⫲611=⫶⩼⫲599","layer":1},{"info":"⫶⩼⫲D18⪒⫶⩼⫲216B=⫶⩼⫲-2E84","layer":1},{"info":"⫶⩼⫲599≹⇙⪍⫶⩼⫲-2E84=NaN","layer":0}]}
{"id":515,"expression_no_base_symbol":"(∂$3521$)⇷($2267$⪒$2384$)","expression":"(∂⫶⩼⫲109B)⇷(⫶⩼⫲A12⪒⫶⩼⫲A8E)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":13,"operation_count":3,"complexity_ratio":4.333333333333333,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":3521,"base":15}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2267,"base":15},"right_expr":{"type":"numeric_atoms","value":2384,"base":15}}},"used_operators":["mp7IySMOzn","Uaa54Peajs","f6k1SAg4EE"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=3521","layer":2},{"info":"compute unary expreesion, input=3521, 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=2267","layer":2},{"info":"number node, value=2384","layer":2},{"info":"compute binary expreesion, left_input=2267, right_input=2384, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4651","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-4651, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"(∂⫶⩼⫲109B)⇷(⫶⩼⫲A12⪒⫶⩼⫲A8E)=NaN","reverse_text":"NaN=(∂⫶⩼⫲109B)⇷(⫶⩼⫲A12⪒⫶⩼⫲A8E)","cot":[{"info":"∂⫶⩼⫲109B=NaN","layer":1},{"info":"⫶⩼⫲A12⪒⫶⩼⫲A8E=⫶⩼⫲-15A1","layer":1},{"info":"NaN⇷⫶⩼⫲-15A1=NaN","layer":0}]}
{"id":516,"expression_no_base_symbol":"($2918$⩚⊴⇥$1335$)⋓($4623$⨽$7221$)","expression":"(⫶⩼⫲CE8⩚⊴⇥⫶⩼⫲5E0)⋓(⫶⩼⫲1583⨽⫶⩼⫲2216)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4648,"operation_count":3,"complexity_ratio":1549.3333333333333,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2918,"base":15},"right_expr":{"type":"numeric_atoms","value":1335,"base":15}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":4623,"base":15},"right_expr":{"type":"numeric_atoms","value":7221,"base":15}}},"used_operators":["T2fj7uvVaJ","NTOWxs364D","8HhzD0ZcuI"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"⫶⩼⫲0","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2918","layer":2},{"info":"number node, value=1335","layer":2},{"info":"compute binary expreesion, left_input=2918, right_input=1335, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4374","layer":1},{"info":"number node, value=4623","layer":2},{"info":"number node, value=7221","layer":2},{"info":"compute binary expreesion, left_input=4623, right_input=7221, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-64136736","layer":1},{"info":"compute binary expreesion, left_input=-4374, right_input=-64136736, op_id = T2fj7uvVaJ binary_op_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":15,"result_base":15,"text":"(⫶⩼⫲CE8⩚⊴⇥⫶⩼⫲5E0)⋓(⫶⩼⫲1583⨽⫶⩼⫲2216)=⫶⩼⫲0","reverse_text":"⫶⩼⫲0=(⫶⩼⫲CE8⩚⊴⇥⫶⩼⫲5E0)⋓(⫶⩼⫲1583⨽⫶⩼⫲2216)","cot":[{"info":"⫶⩼⫲CE8⩚⊴⇥⫶⩼⫲5E0=⫶⩼⫲-1469","layer":1},{"info":"⫶⩼⫲1583⨽⫶⩼⫲2216=⫶⩼⫲-596D726","layer":1},{"info":"⫶⩼⫲-1469⋓⫶⩼⫲-596D726=⫶⩼⫲0","layer":0}]}
{"id":517,"expression_no_base_symbol":"(≉$4691$)⪐","expression":"(≉⫶⩼⫲15CB)⪐","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4,"operation_count":2,"complexity_ratio":2.0,"tree":{"type":"unary","operator":"⪐","unary_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":4691,"base":15}}},"used_operators":["eH2TOUuTDT","e1ybzncUwg"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⫶⩼⫲3164","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=4691","layer":2},{"info":"compute unary expreesion, input=4691, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=5222","layer":1},{"info":"compute unary expreesion, input=5222, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=10444","layer":0}],"base":15,"result_base":15,"text":"(≉⫶⩼⫲15CB)⪐=⫶⩼⫲3164","reverse_text":"⫶⩼⫲3164=(≉⫶⩼⫲15CB)⪐","cot":[{"info":"≉⫶⩼⫲15CB=⫶⩼⫲1832","layer":1},{"info":"⫶⩼⫲1832⪐=⫶⩼⫲3164","layer":0}]}
{"id":518,"expression_no_base_symbol":"($1924$↺$3984$)∸","expression":"(⫶⩼⫲884↺⫶⩼⫲12A9)∸","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":179,"operation_count":2,"complexity_ratio":89.5,"tree":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1924,"base":15},"right_expr":{"type":"numeric_atoms","value":3984,"base":15}}},"used_operators":["o20kRiQErp","7j4O788W3g"],"dependent_operators":["tmPS8pqC7x","rysDP5nf3Z","t8gj7n24qd"],"result":"⫶⩼⫲BC","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1924","layer":2},{"info":"number node, value=3984","layer":2},{"info":"compute binary expreesion, left_input=1924, right_input=3984, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3984","layer":1},{"info":"compute unary expreesion, input=3984, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲884↺⫶⩼⫲12A9)∸=⫶⩼⫲BC","reverse_text":"⫶⩼⫲BC=(⫶⩼⫲884↺⫶⩼⫲12A9)∸","cot":[{"info":"⫶⩼⫲884↺⫶⩼⫲12A9=⫶⩼⫲12A9","layer":1},{"info":"⫶⩼⫲12A9∸=⫶⩼⫲BC","layer":0}]}
{"id":519,"expression_no_base_symbol":"$3945$⪒$2386$⪨≂($3987$≫≃)","expression":"⫶⩼⫲1280⪒⫶⩼⫲A91⪨≂(⫶⩼⫲12AC≫≃)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":15,"operation_count":3,"complexity_ratio":5.0,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":3945,"base":15},"right_expr":{"type":"numeric_atoms","value":2386,"base":15}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":3987,"base":15}}},"used_operators":["sdazOOVcIp","f6k1SAg4EE","X99M06cbEe"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A"],"result":"⫶⩼⫲-9425","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=3945","layer":2},{"info":"number node, value=2386","layer":2},{"info":"compute binary expreesion, left_input=3945, right_input=2386, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-6331","layer":1},{"info":"number node, value=3987","layer":2},{"info":"compute unary expreesion, input=3987, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=9375","layer":1},{"info":"compute binary expreesion, left_input=-6331, right_input=9375, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-31310","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲1280⪒⫶⩼⫲A91⪨≂(⫶⩼⫲12AC≫≃)=⫶⩼⫲-9425","reverse_text":"⫶⩼⫲-9425=⫶⩼⫲1280⪒⫶⩼⫲A91⪨≂(⫶⩼⫲12AC≫≃)","cot":[{"info":"⫶⩼⫲1280⪒⫶⩼⫲A91=⫶⩼⫲-1D21","layer":1},{"info":"⫶⩼⫲12AC≫≃=⫶⩼⫲2BA0","layer":1},{"info":"⫶⩼⫲-1D21⪨≂⫶⩼⫲2BA0=⫶⩼⫲-9425","layer":0}]}
{"id":520,"expression_no_base_symbol":"($1255$⨳⩥⨓$3657$)⊪","expression":"(⫶⩼⫲58A⨳⩥⨓⫶⩼⫲113C)⊪","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":36,"operation_count":2,"complexity_ratio":18.0,"tree":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1255,"base":15},"right_expr":{"type":"numeric_atoms","value":3657,"base":15}}},"used_operators":["zVYPLywUTj","nCS4ZIUYfx"],"dependent_operators":["sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","W4YGzv6Whe","rysDP5nf3Z"],"result":"⫶⩼⫲0","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1255","layer":2},{"info":"number node, value=3657","layer":2},{"info":"compute binary expreesion, left_input=1255, right_input=3657, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=2402","layer":1},{"info":"compute unary expreesion, input=2402, 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":15,"result_base":15,"text":"(⫶⩼⫲58A⨳⩥⨓⫶⩼⫲113C)⊪=⫶⩼⫲0","reverse_text":"⫶⩼⫲0=(⫶⩼⫲58A⨳⩥⨓⫶⩼⫲113C)⊪","cot":[{"info":"⫶⩼⫲58A⨳⩥⨓⫶⩼⫲113C=⫶⩼⫲AA2","layer":1},{"info":"⫶⩼⫲AA2⊪=⫶⩼⫲0","layer":0}]}
{"id":521,"expression_no_base_symbol":"-$2805$∑⇟⊟$5928$","expression":"-⫶⩼⫲C70∑⇟⊟⫶⩼⫲1B53","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2,"operation_count":2,"complexity_ratio":1.0,"tree":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":2805,"base":15},"right_expr":{"type":"numeric_atoms","value":5928,"base":15}}},"used_operators":["t8gj7n24qd","U7g4x0WXJJ"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=2805","layer":2},{"info":"number node, value=5928","layer":2},{"info":"compute binary expreesion, left_input=2805, right_input=5928, 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":15,"result_base":15,"text":"-⫶⩼⫲C70∑⇟⊟⫶⩼⫲1B53=NaN","reverse_text":"NaN=-⫶⩼⫲C70∑⇟⊟⫶⩼⫲1B53","cot":[{"info":"⫶⩼⫲C70∑⇟⊟⫶⩼⫲1B53=NaN","layer":1},{"info":"-NaN=NaN","layer":0}]}
{"id":522,"expression_no_base_symbol":"∥⊫($1026$⊭∹↮)","expression":"∥⊫(⫶⩼⫲486⊭∹↮)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":10,"operation_count":2,"complexity_ratio":5.0,"tree":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":1026,"base":15}}},"used_operators":["P8v4zCKN1o","xNBdhnnwKq"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C"],"result":"⫶⩼⫲CEA","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1026","layer":2},{"info":"compute unary expreesion, input=1026, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=2052","layer":1},{"info":"compute unary expreesion, input=2052, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2920","layer":0}],"base":15,"result_base":15,"text":"∥⊫(⫶⩼⫲486⊭∹↮)=⫶⩼⫲CEA","reverse_text":"⫶⩼⫲CEA=∥⊫(⫶⩼⫲486⊭∹↮)","cot":[{"info":"⫶⩼⫲486⊭∹↮=⫶⩼⫲91C","layer":1},{"info":"∥⊫⫶⩼⫲91C=⫶⩼⫲CEA","layer":0}]}
{"id":523,"expression_no_base_symbol":"$2122$⇼⇔∾$1589$⪒$1245$⩷∴$8969$","expression":"⫶⩼⫲967⇼⇔∾⫶⩼⫲70E⪒⫶⩼⫲580⩷∴⫶⩼⫲29CE","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":11,"operation_count":3,"complexity_ratio":3.6666666666666665,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2122,"base":15},"right_expr":{"type":"numeric_atoms","value":1589,"base":15}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1245,"base":15},"right_expr":{"type":"numeric_atoms","value":8969,"base":15}}},"used_operators":["f6k1SAg4EE","tifHPKVTfV","9FxExcQeMw"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z"],"result":"⫶⩼⫲4B28","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2122","layer":2},{"info":"number node, value=1589","layer":2},{"info":"compute binary expreesion, left_input=2122, right_input=1589, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-533","layer":1},{"info":"number node, value=1245","layer":2},{"info":"number node, value=8969","layer":2},{"info":"compute binary expreesion, left_input=1245, right_input=8969, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-15480","layer":1},{"info":"compute binary expreesion, left_input=-533, right_input=-15480, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=16013","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲967⇼⇔∾⫶⩼⫲70E⪒⫶⩼⫲580⩷∴⫶⩼⫲29CE=⫶⩼⫲4B28","reverse_text":"⫶⩼⫲4B28=⫶⩼⫲967⇼⇔∾⫶⩼⫲70E⪒⫶⩼⫲580⩷∴⫶⩼⫲29CE","cot":[{"info":"⫶⩼⫲967⇼⇔∾⫶⩼⫲70E=⫶⩼⫲-258","layer":1},{"info":"⫶⩼⫲580⩷∴⫶⩼⫲29CE=⫶⩼⫲-48C0","layer":1},{"info":"⫶⩼⫲-258⪒⫶⩼⫲-48C0=⫶⩼⫲4B28","layer":0}]}
{"id":524,"expression_no_base_symbol":"(-$1914$)↺(⊄⩳↩$1665$)","expression":"(-⫶⩼⫲879)↺(⊄⩳↩⫶⩼⫲760)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6,"operation_count":3,"complexity_ratio":2.0,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1914,"base":15}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1665,"base":15}}},"used_operators":["7j4O788W3g","t8gj7n24qd","8w2t5hMYqp"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫶⩼⫲-1730","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1914","layer":2},{"info":"compute unary expreesion, input=1914, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1914","layer":1},{"info":"number node, value=1665","layer":2},{"info":"compute unary expreesion, input=1665, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-4995","layer":1},{"info":"compute binary expreesion, left_input=-1914, right_input=-4995, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-4995","layer":0}],"base":15,"result_base":15,"text":"(-⫶⩼⫲879)↺(⊄⩳↩⫶⩼⫲760)=⫶⩼⫲-1730","reverse_text":"⫶⩼⫲-1730=(-⫶⩼⫲879)↺(⊄⩳↩⫶⩼⫲760)","cot":[{"info":"-⫶⩼⫲879=⫶⩼⫲-879","layer":1},{"info":"⊄⩳↩⫶⩼⫲760=⫶⩼⫲-1730","layer":1},{"info":"⫶⩼⫲-879↺⫶⩼⫲-1730=⫶⩼⫲-1730","layer":0}]}
{"id":525,"expression_no_base_symbol":"($7716$≭$2413$)≧⫂∧($1188$/$1635$)","expression":"(⫶⩼⫲2446≭⫶⩼⫲AAD)≧⫂∧(⫶⩼⫲543/⫶⩼⫲740)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3,"operation_count":3,"complexity_ratio":1.0,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":7716,"base":15},"right_expr":{"type":"numeric_atoms","value":2413,"base":15}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1188,"base":15},"right_expr":{"type":"numeric_atoms","value":1635,"base":15}}},"used_operators":["Ph9nP6C5qx","rxpJgHHUmx","XhwjNDsVaA"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","rysDP5nf3Z"],"result":"⫶⩼⫲-218","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=7716","layer":2},{"info":"number node, value=2413","layer":2},{"info":"compute binary expreesion, left_input=7716, right_input=2413, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=1188","layer":2},{"info":"number node, value=1635","layer":2},{"info":"compute binary expreesion, left_input=1188, right_input=1635, op_id = XhwjNDsVaA binary_op_definition= 'None', 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":15,"result_base":15,"text":"(⫶⩼⫲2446≭⫶⩼⫲AAD)≧⫂∧(⫶⩼⫲543/⫶⩼⫲740)=⫶⩼⫲-218","reverse_text":"⫶⩼⫲-218=(⫶⩼⫲2446≭⫶⩼⫲AAD)≧⫂∧(⫶⩼⫲543/⫶⩼⫲740)","cot":[{"info":"⫶⩼⫲2446≭⫶⩼⫲AAD=NaN","layer":1},{"info":"⫶⩼⫲543/⫶⩼⫲740=⫶⩼⫲0","layer":1},{"info":"NaN≧⫂∧⫶⩼⫲0=⫶⩼⫲-218","layer":0}]}
{"id":526,"expression_no_base_symbol":"(↥$3426$)*($2578$⨵⪆$5965$)","expression":"(↥⫶⩼⫲1036)*(⫶⩼⫲B6D⨵⪆⫶⩼⫲1B7A)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":77,"operation_count":3,"complexity_ratio":25.666666666666668,"tree":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":3426,"base":15}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2578,"base":15},"right_expr":{"type":"numeric_atoms","value":5965,"base":15}}},"used_operators":["9HNa5Wba9A","A8NUZmVepG","2DQ55sFlQl"],"dependent_operators":["W4YGzv6Whe","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd"],"result":"⫶⩼⫲660","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=3426","layer":2},{"info":"compute unary expreesion, input=3426, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=9","layer":1},{"info":"number node, value=2578","layer":2},{"info":"number node, value=5965","layer":2},{"info":"compute binary expreesion, left_input=2578, right_input=5965, 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=9, right_input=160, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=1440","layer":0}],"base":15,"result_base":15,"text":"(↥⫶⩼⫲1036)*(⫶⩼⫲B6D⨵⪆⫶⩼⫲1B7A)=⫶⩼⫲660","reverse_text":"⫶⩼⫲660=(↥⫶⩼⫲1036)*(⫶⩼⫲B6D⨵⪆⫶⩼⫲1B7A)","cot":[{"info":"↥⫶⩼⫲1036=⫶⩼⫲9","layer":1},{"info":"⫶⩼⫲B6D⨵⪆⫶⩼⫲1B7A=⫶⩼⫲AA","layer":1},{"info":"⫶⩼⫲9*⫶⩼⫲AA=⫶⩼⫲660","layer":0}]}
{"id":527,"expression_no_base_symbol":"($4215$↛⩡⫤)+⇶⊼(⨰⫟⨤$1591$)","expression":"(⫶⩼⫲13B0↛⩡⫤)+⇶⊼(⨰⫟⨤⫶⩼⫲711)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":18304,"operation_count":3,"complexity_ratio":6101.333333333333,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":4215,"base":15}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":1591,"base":15}}},"used_operators":["TpPTUOHfaN","FU0Cs4j7VP","Tw270M8GLb"],"dependent_operators":["AHs5Up7iyr","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=4215","layer":2},{"info":"compute unary expreesion, input=4215, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-632554","layer":1},{"info":"number node, value=1591","layer":2},{"info":"compute unary expreesion, input=1591, 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=-632554, 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":15,"result_base":15,"text":"(⫶⩼⫲13B0↛⩡⫤)+⇶⊼(⨰⫟⨤⫶⩼⫲711)=NaN","reverse_text":"NaN=(⫶⩼⫲13B0↛⩡⫤)+⇶⊼(⨰⫟⨤⫶⩼⫲711)","cot":[{"info":"⫶⩼⫲13B0↛⩡⫤=⫶⩼⫲-C7654","layer":1},{"info":"⨰⫟⨤⫶⩼⫲711=NaN","layer":1},{"info":"⫶⩼⫲-C7654+⇶⊼NaN=NaN","layer":0}]}
{"id":528,"expression_no_base_symbol":"($1873$⨰$2694$)≹⇙⪍($3815$⊭↱$1371$)","expression":"(⫶⩼⫲84D⨰⫶⩼⫲BE9)≹⇙⪍(⫶⩼⫲11E5⊭↱⫶⩼⫲616)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":13,"operation_count":3,"complexity_ratio":4.333333333333333,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1873,"base":15},"right_expr":{"type":"numeric_atoms","value":2694,"base":15}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":3815,"base":15},"right_expr":{"type":"numeric_atoms","value":1371,"base":15}}},"used_operators":["AHs5Up7iyr","eewbuw0ToL","COABgblf1C"],"dependent_operators":["dWAJyo7jo9","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1873","layer":2},{"info":"number node, value=2694","layer":2},{"info":"compute binary expreesion, left_input=1873, right_input=2694, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-811","layer":1},{"info":"number node, value=3815","layer":2},{"info":"number node, value=1371","layer":2},{"info":"compute binary expreesion, left_input=3815, right_input=1371, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-4883","layer":1},{"info":"compute binary expreesion, left_input=-811, right_input=-4883, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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":15,"result_base":15,"text":"(⫶⩼⫲84D⨰⫶⩼⫲BE9)≹⇙⪍(⫶⩼⫲11E5⊭↱⫶⩼⫲616)=NaN","reverse_text":"NaN=(⫶⩼⫲84D⨰⫶⩼⫲BE9)≹⇙⪍(⫶⩼⫲11E5⊭↱⫶⩼⫲616)","cot":[{"info":"⫶⩼⫲84D⨰⫶⩼⫲BE9=⫶⩼⫲-391","layer":1},{"info":"⫶⩼⫲11E5⊭↱⫶⩼⫲616=⫶⩼⫲-16A8","layer":1},{"info":"⫶⩼⫲-391≹⇙⪍⫶⩼⫲-16A8=NaN","layer":0}]}
{"id":529,"expression_no_base_symbol":"(↔$2982$)⪮%⊝($2386$⫌⩹⨱)","expression":"(↔⫶⩼⫲D3C)⪮%⊝(⫶⩼⫲A91⫌⩹⨱)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":23,"operation_count":3,"complexity_ratio":7.666666666666667,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":2982,"base":15}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":2386,"base":15}}},"used_operators":["IWmyXbctLI","ruOEQAzv1W","EBcxylXtPf"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe","rysDP5nf3Z"],"result":"⫶⩼⫲-17A2","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2982","layer":2},{"info":"compute unary expreesion, input=2982, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-2709","layer":1},{"info":"number node, value=2386","layer":2},{"info":"compute unary expreesion, input=2386, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=6173","layer":1},{"info":"compute binary expreesion, left_input=-2709, right_input=6173, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-5102","layer":0}],"base":15,"result_base":15,"text":"(↔⫶⩼⫲D3C)⪮%⊝(⫶⩼⫲A91⫌⩹⨱)=⫶⩼⫲-17A2","reverse_text":"⫶⩼⫲-17A2=(↔⫶⩼⫲D3C)⪮%⊝(⫶⩼⫲A91⫌⩹⨱)","cot":[{"info":"↔⫶⩼⫲D3C=⫶⩼⫲-C09","layer":1},{"info":"⫶⩼⫲A91⫌⩹⨱=⫶⩼⫲1C68","layer":1},{"info":"⫶⩼⫲-C09⪮%⊝⫶⩼⫲1C68=⫶⩼⫲-17A2","layer":0}]}
{"id":530,"expression_no_base_symbol":"$1979$⨪↰⇹$1488$↙$1524$∀⇚≩$2233$","expression":"⫶⩼⫲8BE⨪↰⇹⫶⩼⫲693↙⫶⩼⫲6B9∀⇚≩⫶⩼⫲9DD","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":12651,"operation_count":3,"complexity_ratio":4217.0,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1979,"base":15},"right_expr":{"type":"numeric_atoms","value":1488,"base":15}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1524,"base":15},"right_expr":{"type":"numeric_atoms","value":2233,"base":15}}},"used_operators":["yyfyN0ffXY","tmPS8pqC7x","LRNGc0VcxI"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","rJVOvQCfKK","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1979","layer":2},{"info":"number node, value=1488","layer":2},{"info":"compute binary expreesion, left_input=1979, right_input=1488, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1979","layer":1},{"info":"number node, value=1524","layer":2},{"info":"number node, value=2233","layer":2},{"info":"compute binary expreesion, left_input=1524, right_input=2233, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=1979, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲8BE⨪↰⇹⫶⩼⫲693↙⫶⩼⫲6B9∀⇚≩⫶⩼⫲9DD=NaN","reverse_text":"NaN=⫶⩼⫲8BE⨪↰⇹⫶⩼⫲693↙⫶⩼⫲6B9∀⇚≩⫶⩼⫲9DD","cot":[{"info":"⫶⩼⫲8BE⨪↰⇹⫶⩼⫲693=⫶⩼⫲8BE","layer":1},{"info":"⫶⩼⫲6B9∀⇚≩⫶⩼⫲9DD=NaN","layer":1},{"info":"⫶⩼⫲8BE↙NaN=NaN","layer":0}]}
{"id":531,"expression_no_base_symbol":"$1895$⨽$3988$⩨($5552$⊭↱$2761$)","expression":"⫶⩼⫲865⨽⫶⩼⫲12AD⩨(⫶⩼⫲19A2⊭↱⫶⩼⫲C41)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1914,"operation_count":3,"complexity_ratio":638.0,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1895,"base":15},"right_expr":{"type":"numeric_atoms","value":3988,"base":15}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":5552,"base":15},"right_expr":{"type":"numeric_atoms","value":2761,"base":15}}},"used_operators":["2DlMacCsIx","8HhzD0ZcuI","COABgblf1C"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd"],"result":"⫶⩼⫲0","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1895","layer":2},{"info":"number node, value=3988","layer":2},{"info":"compute binary expreesion, left_input=1895, right_input=3988, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-10783725","layer":1},{"info":"number node, value=5552","layer":2},{"info":"number node, value=2761","layer":2},{"info":"compute binary expreesion, left_input=5552, right_input=2761, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-5577","layer":1},{"info":"compute binary expreesion, left_input=-10783725, right_input=-5577, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲865⨽⫶⩼⫲12AD⩨(⫶⩼⫲19A2⊭↱⫶⩼⫲C41)=⫶⩼⫲0","reverse_text":"⫶⩼⫲0=⫶⩼⫲865⨽⫶⩼⫲12AD⩨(⫶⩼⫲19A2⊭↱⫶⩼⫲C41)","cot":[{"info":"⫶⩼⫲865⨽⫶⩼⫲12AD=⫶⩼⫲-E302A0","layer":1},{"info":"⫶⩼⫲19A2⊭↱⫶⩼⫲C41=⫶⩼⫲-19BC","layer":1},{"info":"⫶⩼⫲-E302A0⩨⫶⩼⫲-19BC=⫶⩼⫲0","layer":0}]}
{"id":532,"expression_no_base_symbol":"($1298$⊭↱$1764$)≧⫂∧($1254$⫩⊇)","expression":"(⫶⩼⫲5B8⊭↱⫶⩼⫲7C9)≧⫂∧(⫶⩼⫲589⫩⊇)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":10,"operation_count":3,"complexity_ratio":3.3333333333333335,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1298,"base":15},"right_expr":{"type":"numeric_atoms","value":1764,"base":15}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":1254,"base":15}}},"used_operators":["Ph9nP6C5qx","COABgblf1C","BjRHVeLaeN"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⫶⩼⫲984","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1298","layer":2},{"info":"number node, value=1764","layer":2},{"info":"compute binary expreesion, left_input=1298, right_input=1764, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=937","layer":1},{"info":"number node, value=1254","layer":2},{"info":"compute unary expreesion, input=1254, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-1212","layer":1},{"info":"compute binary expreesion, left_input=937, right_input=-1212, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2149","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲5B8⊭↱⫶⩼⫲7C9)≧⫂∧(⫶⩼⫲589⫩⊇)=⫶⩼⫲984","reverse_text":"⫶⩼⫲984=(⫶⩼⫲5B8⊭↱⫶⩼⫲7C9)≧⫂∧(⫶⩼⫲589⫩⊇)","cot":[{"info":"⫶⩼⫲5B8⊭↱⫶⩼⫲7C9=⫶⩼⫲427","layer":1},{"info":"⫶⩼⫲589⫩⊇=⫶⩼⫲-55C","layer":1},{"info":"⫶⩼⫲427≧⫂∧⫶⩼⫲-55C=⫶⩼⫲984","layer":0}]}
{"id":533,"expression_no_base_symbol":"($3256$⪄$5541$)⪢($4146$⋥≓≎$2969$)","expression":"(⫶⩼⫲E71⪄⫶⩼⫲1996)⪢(⫶⩼⫲1366⋥≓≎⫶⩼⫲D2E)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":902409,"operation_count":3,"complexity_ratio":300803.0,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":3256,"base":15},"right_expr":{"type":"numeric_atoms","value":5541,"base":15}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":4146,"base":15},"right_expr":{"type":"numeric_atoms","value":2969,"base":15}}},"used_operators":["dWAJyo7jo9","SUmda5xLS4","Qy55tPpLXF"],"dependent_operators":["k8jYdgA6NY","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=3256","layer":2},{"info":"number node, value=5541","layer":2},{"info":"compute binary expreesion, left_input=3256, right_input=5541, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-500141","layer":1},{"info":"number node, value=4146","layer":2},{"info":"number node, value=2969","layer":2},{"info":"compute binary expreesion, left_input=4146, right_input=2969, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=1825","layer":1},{"info":"compute binary expreesion, left_input=-500141, right_input=1825, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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":15,"result_base":15,"text":"(⫶⩼⫲E71⪄⫶⩼⫲1996)⪢(⫶⩼⫲1366⋥≓≎⫶⩼⫲D2E)=NaN","reverse_text":"NaN=(⫶⩼⫲E71⪄⫶⩼⫲1996)⪢(⫶⩼⫲1366⋥≓≎⫶⩼⫲D2E)","cot":[{"info":"⫶⩼⫲E71⪄⫶⩼⫲1996=⫶⩼⫲-9D2CB","layer":1},{"info":"⫶⩼⫲1366⋥≓≎⫶⩼⫲D2E=⫶⩼⫲81A","layer":1},{"info":"⫶⩼⫲-9D2CB⪢⫶⩼⫲81A=NaN","layer":0}]}
{"id":534,"expression_no_base_symbol":"(⪲⇎$5223$)↺($2163$⋷$2625$)","expression":"(⪲⇎⫶⩼⫲1833)↺(⫶⩼⫲993⋷⫶⩼⫲BA0)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7,"operation_count":3,"complexity_ratio":2.3333333333333335,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":5223,"base":15}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":2163,"base":15},"right_expr":{"type":"numeric_atoms","value":2625,"base":15}}},"used_operators":["7j4O788W3g","XPYlsWDdGa","23Mk6UjR3U"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⫶⩼⫲DAC","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=5223","layer":2},{"info":"compute unary expreesion, input=5223, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=10446","layer":1},{"info":"number node, value=2163","layer":2},{"info":"number node, value=2625","layer":2},{"info":"compute binary expreesion, left_input=2163, right_input=2625, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=3087","layer":1},{"info":"compute binary expreesion, left_input=10446, 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":0}],"base":15,"result_base":15,"text":"(⪲⇎⫶⩼⫲1833)↺(⫶⩼⫲993⋷⫶⩼⫲BA0)=⫶⩼⫲DAC","reverse_text":"⫶⩼⫲DAC=(⪲⇎⫶⩼⫲1833)↺(⫶⩼⫲993⋷⫶⩼⫲BA0)","cot":[{"info":"⪲⇎⫶⩼⫲1833=⫶⩼⫲3166","layer":1},{"info":"⫶⩼⫲993⋷⫶⩼⫲BA0=⫶⩼⫲DAC","layer":1},{"info":"⫶⩼⫲3166↺⫶⩼⫲DAC=⫶⩼⫲DAC","layer":0}]}
{"id":535,"expression_no_base_symbol":"(⊄⩳↩$5971$)↬($3549$⋫)","expression":"(⊄⩳↩⫶⩼⫲1B81)↬(⫶⩼⫲10B9⋫)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3553,"operation_count":3,"complexity_ratio":1184.3333333333333,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":5971,"base":15}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":3549,"base":15}}},"used_operators":["B5M0gjZbta","8w2t5hMYqp","JL8yIekQnl"],"dependent_operators":["rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=5971","layer":2},{"info":"compute unary expreesion, input=5971, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-17913","layer":1},{"info":"number node, value=3549","layer":2},{"info":"compute unary expreesion, input=3549, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=3549","layer":1},{"info":"compute binary expreesion, left_input=-17913, right_input=3549, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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":15,"result_base":15,"text":"(⊄⩳↩⫶⩼⫲1B81)↬(⫶⩼⫲10B9⋫)=NaN","reverse_text":"NaN=(⊄⩳↩⫶⩼⫲1B81)↬(⫶⩼⫲10B9⋫)","cot":[{"info":"⊄⩳↩⫶⩼⫲1B81=⫶⩼⫲-5493","layer":1},{"info":"⫶⩼⫲10B9⋫=⫶⩼⫲10B9","layer":1},{"info":"⫶⩼⫲-5493↬⫶⩼⫲10B9=NaN","layer":0}]}
{"id":536,"expression_no_base_symbol":"⪲⇎$4012$∀⇚≩$4271$","expression":"⪲⇎⫶⩼⫲12C7∀⇚≩⫶⩼⫲13EB","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":28086,"operation_count":2,"complexity_ratio":14043.0,"tree":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":4012,"base":15},"right_expr":{"type":"numeric_atoms","value":4271,"base":15}}},"used_operators":["XPYlsWDdGa","LRNGc0VcxI"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=4012","layer":2},{"info":"number node, value=4271","layer":2},{"info":"compute binary expreesion, left_input=4012, right_input=4271, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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 = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=nan","layer":0}],"base":15,"result_base":15,"text":"⪲⇎⫶⩼⫲12C7∀⇚≩⫶⩼⫲13EB=NaN","reverse_text":"NaN=⪲⇎⫶⩼⫲12C7∀⇚≩⫶⩼⫲13EB","cot":[{"info":"⫶⩼⫲12C7∀⇚≩⫶⩼⫲13EB=NaN","layer":1},{"info":"⪲⇎NaN=NaN","layer":0}]}
{"id":537,"expression_no_base_symbol":"$1135$⪛$1658$⋫","expression":"⫶⩼⫲50A⪛⫶⩼⫲758⋫","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1139,"operation_count":2,"complexity_ratio":569.5,"tree":{"type":"unary","operator":"⋫","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1135,"base":15},"right_expr":{"type":"numeric_atoms","value":1658,"base":15}}},"used_operators":["JL8yIekQnl","uFcxV4UQCh"],"dependent_operators":["tmPS8pqC7x","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"⫶⩼⫲50A","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1135","layer":2},{"info":"number node, value=1658","layer":2},{"info":"compute binary expreesion, left_input=1135, right_input=1658, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1135","layer":1},{"info":"compute unary expreesion, input=1135, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=1135","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲50A⪛⫶⩼⫲758⋫=⫶⩼⫲50A","reverse_text":"⫶⩼⫲50A=⫶⩼⫲50A⪛⫶⩼⫲758⋫","cot":[{"info":"⫶⩼⫲50A⪛⫶⩼⫲758=⫶⩼⫲50A","layer":1},{"info":"⫶⩼⫲50A⋫=⫶⩼⫲50A","layer":0}]}
{"id":538,"expression_no_base_symbol":"$1797$⊴$1585$%$1141$⨽$4609$","expression":"⫶⩼⫲7EC⊴⫶⩼⫲70A%⫶⩼⫲511⨽⫶⩼⫲1574","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4159,"operation_count":3,"complexity_ratio":1386.3333333333333,"tree":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1797,"base":15},"right_expr":{"type":"numeric_atoms","value":1585,"base":15}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1141,"base":15},"right_expr":{"type":"numeric_atoms","value":4609,"base":15}}},"used_operators":["k8jYdgA6NY","Nsiff2A1zJ","8HhzD0ZcuI"],"dependent_operators":["rysDP5nf3Z","dWAJyo7jo9","14qkJME0vr","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1797","layer":2},{"info":"number node, value=1585","layer":2},{"info":"compute binary expreesion, left_input=1797, right_input=1585, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=1141","layer":2},{"info":"number node, value=4609","layer":2},{"info":"compute binary expreesion, left_input=1141, right_input=4609, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-3918156","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-3918156, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲7EC⊴⫶⩼⫲70A%⫶⩼⫲511⨽⫶⩼⫲1574=NaN","reverse_text":"NaN=⫶⩼⫲7EC⊴⫶⩼⫲70A%⫶⩼⫲511⨽⫶⩼⫲1574","cot":[{"info":"⫶⩼⫲7EC⊴⫶⩼⫲70A=NaN","layer":1},{"info":"⫶⩼⫲511⨽⫶⩼⫲1574=⫶⩼⫲-525E06","layer":1},{"info":"NaN%⫶⩼⫲-525E06=NaN","layer":0}]}
{"id":539,"expression_no_base_symbol":"($1494$⨁⊸⫻)∑⇟⊟($6532$⪨≂$4398$)","expression":"(⫶⩼⫲699⨁⊸⫻)∑⇟⊟(⫶⩼⫲1E07⪨≂⫶⩼⫲1483)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7,"operation_count":3,"complexity_ratio":2.3333333333333335,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":1494,"base":15}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":6532,"base":15},"right_expr":{"type":"numeric_atoms","value":4398,"base":15}}},"used_operators":["U7g4x0WXJJ","glklzrTFfD","sdazOOVcIp"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1494","layer":2},{"info":"compute unary expreesion, input=1494, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=1494","layer":1},{"info":"number node, value=6532","layer":2},{"info":"number node, value=4398","layer":2},{"info":"compute binary expreesion, left_input=6532, right_input=4398, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=4370","layer":1},{"info":"compute binary expreesion, left_input=1494, right_input=4370, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲699⨁⊸⫻)∑⇟⊟(⫶⩼⫲1E07⪨≂⫶⩼⫲1483)=NaN","reverse_text":"NaN=(⫶⩼⫲699⨁⊸⫻)∑⇟⊟(⫶⩼⫲1E07⪨≂⫶⩼⫲1483)","cot":[{"info":"⫶⩼⫲699⨁⊸⫻=⫶⩼⫲699","layer":1},{"info":"⫶⩼⫲1E07⪨≂⫶⩼⫲1483=⫶⩼⫲1465","layer":1},{"info":"⫶⩼⫲699∑⇟⊟⫶⩼⫲1465=NaN","layer":0}]}
{"id":540,"expression_no_base_symbol":"$1459$⩚⊴⇥$2258$⋷($5985$⫌⩹⨱)","expression":"⫶⩼⫲674⩚⊴⇥⫶⩼⫲A08⋷(⫶⩼⫲1B90⫌⩹⨱)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":12,"operation_count":3,"complexity_ratio":4.0,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1459,"base":15},"right_expr":{"type":"numeric_atoms","value":2258,"base":15}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":5985,"base":15}}},"used_operators":["23Mk6UjR3U","NTOWxs364D","EBcxylXtPf"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z"],"result":"⫶⩼⫲241B","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1459","layer":2},{"info":"number node, value=2258","layer":2},{"info":"compute binary expreesion, left_input=1459, right_input=2258, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3838","layer":1},{"info":"number node, value=5985","layer":2},{"info":"compute unary expreesion, input=5985, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=13371","layer":1},{"info":"compute binary expreesion, left_input=-3838, right_input=13371, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=7676","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲674⩚⊴⇥⫶⩼⫲A08⋷(⫶⩼⫲1B90⫌⩹⨱)=⫶⩼⫲241B","reverse_text":"⫶⩼⫲241B=⫶⩼⫲674⩚⊴⇥⫶⩼⫲A08⋷(⫶⩼⫲1B90⫌⩹⨱)","cot":[{"info":"⫶⩼⫲674⩚⊴⇥⫶⩼⫲A08=⫶⩼⫲-120D","layer":1},{"info":"⫶⩼⫲1B90⫌⩹⨱=⫶⩼⫲3E66","layer":1},{"info":"⫶⩼⫲-120D⋷⫶⩼⫲3E66=⫶⩼⫲241B","layer":0}]}
{"id":541,"expression_no_base_symbol":"($2938$⨸⪁$1510$)⩠","expression":"(⫶⩼⫲D0D⨸⪁⫶⩼⫲6AA)⩠","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":21,"operation_count":2,"complexity_ratio":10.5,"tree":{"type":"unary","operator":"⩠","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2938,"base":15},"right_expr":{"type":"numeric_atoms","value":1510,"base":15}}},"used_operators":["sJAwomhLZr","g55IO6H4Gj"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","W4YGzv6Whe"],"result":"⫶⩼⫲0","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2938","layer":2},{"info":"number node, value=1510","layer":2},{"info":"compute binary expreesion, left_input=2938, right_input=1510, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=8896","layer":1},{"info":"compute unary expreesion, input=8896, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲D0D⨸⪁⫶⩼⫲6AA)⩠=⫶⩼⫲0","reverse_text":"⫶⩼⫲0=(⫶⩼⫲D0D⨸⪁⫶⩼⫲6AA)⩠","cot":[{"info":"⫶⩼⫲D0D⨸⪁⫶⩼⫲6AA=⫶⩼⫲2981","layer":1},{"info":"⫶⩼⫲2981⩠=⫶⩼⫲0","layer":0}]}
{"id":542,"expression_no_base_symbol":"$1437$≹⇙⪍$3008$⪄$1414$⋳⪒$2815$","expression":"⫶⩼⫲65C≹⇙⪍⫶⩼⫲D58⪄⫶⩼⫲644⋳⪒⫶⩼⫲C7A","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":30,"operation_count":3,"complexity_ratio":10.0,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1437,"base":15},"right_expr":{"type":"numeric_atoms","value":3008,"base":15}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1414,"base":15},"right_expr":{"type":"numeric_atoms","value":2815,"base":15}}},"used_operators":["SUmda5xLS4","AHs5Up7iyr","12rbrZMWeM"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd"],"result":"⫶⩼⫲12A4","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1437","layer":2},{"info":"number node, value=3008","layer":2},{"info":"compute binary expreesion, left_input=1437, 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":1},{"info":"number node, value=1414","layer":2},{"info":"number node, value=2815","layer":2},{"info":"compute binary expreesion, left_input=1414, right_input=2815, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-274","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-274, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲65C≹⇙⪍⫶⩼⫲D58⪄⫶⩼⫲644⋳⪒⫶⩼⫲C7A=⫶⩼⫲12A4","reverse_text":"⫶⩼⫲12A4=⫶⩼⫲65C≹⇙⪍⫶⩼⫲D58⪄⫶⩼⫲644⋳⪒⫶⩼⫲C7A","cot":[{"info":"⫶⩼⫲65C≹⇙⪍⫶⩼⫲D58=NaN","layer":1},{"info":"⫶⩼⫲644⋳⪒⫶⩼⫲C7A=⫶⩼⫲-134","layer":1},{"info":"NaN⪄⫶⩼⫲-134=⫶⩼⫲12A4","layer":0}]}
{"id":543,"expression_no_base_symbol":"(-$3246$)⩚⊴⇥(+⊝⨔$5206$)","expression":"(-⫶⩼⫲E66)⩚⊴⇥(+⊝⨔⫶⩼⫲1821)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":44,"operation_count":3,"complexity_ratio":14.666666666666666,"tree":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":3246,"base":15}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":5206,"base":15}}},"used_operators":["NTOWxs364D","t8gj7n24qd","DhbWaqg5eL"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"⫶⩼⫲71D","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=3246","layer":2},{"info":"compute unary expreesion, input=3246, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-3246","layer":1},{"info":"number node, value=5206","layer":2},{"info":"compute unary expreesion, input=5206, op_id = 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=-3246, right_input=1522, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=1603","layer":0}],"base":15,"result_base":15,"text":"(-⫶⩼⫲E66)⩚⊴⇥(+⊝⨔⫶⩼⫲1821)=⫶⩼⫲71D","reverse_text":"⫶⩼⫲71D=(-⫶⩼⫲E66)⩚⊴⇥(+⊝⨔⫶⩼⫲1821)","cot":[{"info":"-⫶⩼⫲E66=⫶⩼⫲-E66","layer":1},{"info":"+⊝⨔⫶⩼⫲1821=⫶⩼⫲6B7","layer":1},{"info":"⫶⩼⫲-E66⩚⊴⇥⫶⩼⫲6B7=⫶⩼⫲71D","layer":0}]}
{"id":544,"expression_no_base_symbol":"($1326$⫡⨏$1158$)∲⫓($2678$⪨≂$5233$)","expression":"(⫶⩼⫲5D6⫡⨏⫶⩼⫲523)∲⫓(⫶⩼⫲BD8⪨≂⫶⩼⫲183D)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":13,"operation_count":3,"complexity_ratio":4.333333333333333,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1326,"base":15},"right_expr":{"type":"numeric_atoms","value":1158,"base":15}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2678,"base":15},"right_expr":{"type":"numeric_atoms","value":5233,"base":15}}},"used_operators":["i8ToyICDmI","QMFrweE19q","sdazOOVcIp"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⫶⩼⫲2D39","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1326","layer":2},{"info":"number node, value=1158","layer":2},{"info":"compute binary expreesion, left_input=1326, right_input=1158, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=9729","layer":1},{"info":"number node, value=2678","layer":2},{"info":"number node, value=5233","layer":2},{"info":"compute binary expreesion, left_input=2678, right_input=5233, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-5008","layer":1},{"info":"compute binary expreesion, left_input=9729, right_input=-5008, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=9729","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲5D6⫡⨏⫶⩼⫲523)∲⫓(⫶⩼⫲BD8⪨≂⫶⩼⫲183D)=⫶⩼⫲2D39","reverse_text":"⫶⩼⫲2D39=(⫶⩼⫲5D6⫡⨏⫶⩼⫲523)∲⫓(⫶⩼⫲BD8⪨≂⫶⩼⫲183D)","cot":[{"info":"⫶⩼⫲5D6⫡⨏⫶⩼⫲523=⫶⩼⫲2D39","layer":1},{"info":"⫶⩼⫲BD8⪨≂⫶⩼⫲183D=⫶⩼⫲-173D","layer":1},{"info":"⫶⩼⫲2D39∲⫓⫶⩼⫲-173D=⫶⩼⫲2D39","layer":0}]}
{"id":545,"expression_no_base_symbol":"($3779$⨪↰⇹$6106$)⪛($2719$∀⇚≩$7540$)","expression":"(⫶⩼⫲11BE⨪↰⇹⫶⩼⫲1C21)⪛(⫶⩼⫲C14∀⇚≩⫶⩼⫲237A)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":22816,"operation_count":3,"complexity_ratio":7605.333333333333,"tree":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":3779,"base":15},"right_expr":{"type":"numeric_atoms","value":6106,"base":15}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2719,"base":15},"right_expr":{"type":"numeric_atoms","value":7540,"base":15}}},"used_operators":["uFcxV4UQCh","tmPS8pqC7x","LRNGc0VcxI"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rJVOvQCfKK","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=3779","layer":2},{"info":"number node, value=6106","layer":2},{"info":"compute binary expreesion, left_input=3779, right_input=6106, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=3779","layer":1},{"info":"number node, value=2719","layer":2},{"info":"number node, value=7540","layer":2},{"info":"compute binary expreesion, left_input=2719, right_input=7540, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=3779, right_input=nan, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲11BE⨪↰⇹⫶⩼⫲1C21)⪛(⫶⩼⫲C14∀⇚≩⫶⩼⫲237A)=NaN","reverse_text":"NaN=(⫶⩼⫲11BE⨪↰⇹⫶⩼⫲1C21)⪛(⫶⩼⫲C14∀⇚≩⫶⩼⫲237A)","cot":[{"info":"⫶⩼⫲11BE⨪↰⇹⫶⩼⫲1C21=⫶⩼⫲11BE","layer":1},{"info":"⫶⩼⫲C14∀⇚≩⫶⩼⫲237A=NaN","layer":1},{"info":"⫶⩼⫲11BE⪛NaN=NaN","layer":0}]}
{"id":546,"expression_no_base_symbol":"$3307$⊴$2386$⨸⪁$1536$⨓$5731$","expression":"⫶⩼⫲EA7⊴⫶⩼⫲A91⨸⪁⫶⩼⫲6C6⨓⫶⩼⫲1A71","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":13765,"operation_count":3,"complexity_ratio":4588.333333333333,"tree":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":3307,"base":15},"right_expr":{"type":"numeric_atoms","value":2386,"base":15}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1536,"base":15},"right_expr":{"type":"numeric_atoms","value":5731,"base":15}}},"used_operators":["g55IO6H4Gj","Nsiff2A1zJ","3ViojmjbAp"],"dependent_operators":["W4YGzv6Whe","dWAJyo7jo9","14qkJME0vr","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=3307","layer":2},{"info":"number node, value=2386","layer":2},{"info":"compute binary expreesion, left_input=3307, right_input=2386, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=1536","layer":2},{"info":"number node, value=5731","layer":2},{"info":"compute binary expreesion, left_input=1536, right_input=5731, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-5734","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-5734, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲EA7⊴⫶⩼⫲A91⨸⪁⫶⩼⫲6C6⨓⫶⩼⫲1A71=NaN","reverse_text":"NaN=⫶⩼⫲EA7⊴⫶⩼⫲A91⨸⪁⫶⩼⫲6C6⨓⫶⩼⫲1A71","cot":[{"info":"⫶⩼⫲EA7⊴⫶⩼⫲A91=NaN","layer":1},{"info":"⫶⩼⫲6C6⨓⫶⩼⫲1A71=⫶⩼⫲-1A74","layer":1},{"info":"NaN⨸⪁⫶⩼⫲-1A74=NaN","layer":0}]}
{"id":547,"expression_no_base_symbol":"+⊝⨔(⪲⇎$1099$)","expression":"+⊝⨔(⪲⇎⫶⩼⫲4D4)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":42,"operation_count":2,"complexity_ratio":21.0,"tree":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1099,"base":15}}},"used_operators":["DhbWaqg5eL","XPYlsWDdGa"],"dependent_operators":["dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫶⩼⫲6B7","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1099","layer":2},{"info":"compute unary expreesion, input=1099, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=2198","layer":1},{"info":"compute unary expreesion, input=2198, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":0}],"base":15,"result_base":15,"text":"+⊝⨔(⪲⇎⫶⩼⫲4D4)=⫶⩼⫲6B7","reverse_text":"⫶⩼⫲6B7=+⊝⨔(⪲⇎⫶⩼⫲4D4)","cot":[{"info":"⪲⇎⫶⩼⫲4D4=⫶⩼⫲9B8","layer":1},{"info":"+⊝⨔⫶⩼⫲9B8=⫶⩼⫲6B7","layer":0}]}
{"id":548,"expression_no_base_symbol":"($2019$⫸⊐$5843$)∸","expression":"(⫶⩼⫲8E9⫸⊐⫶⩼⫲1AE8)∸","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":201,"operation_count":2,"complexity_ratio":100.5,"tree":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2019,"base":15},"right_expr":{"type":"numeric_atoms","value":5843,"base":15}}},"used_operators":["o20kRiQErp","mqXw5SEYmG"],"dependent_operators":["tmPS8pqC7x","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"⫶⩼⫲BC","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=2019","layer":2},{"info":"number node, value=5843","layer":2},{"info":"compute binary expreesion, left_input=2019, right_input=5843, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=23247","layer":1},{"info":"compute unary expreesion, input=23247, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲8E9⫸⊐⫶⩼⫲1AE8)∸=⫶⩼⫲BC","reverse_text":"⫶⩼⫲BC=(⫶⩼⫲8E9⫸⊐⫶⩼⫲1AE8)∸","cot":[{"info":"⫶⩼⫲8E9⫸⊐⫶⩼⫲1AE8=⫶⩼⫲6D4C","layer":1},{"info":"⫶⩼⫲6D4C∸=⫶⩼⫲BC","layer":0}]}
{"id":549,"expression_no_base_symbol":"$5425$∼$4655$⪄($1655$⪒$2444$)","expression":"⫶⩼⫲191A∼⫶⩼⫲15A5⪄(⫶⩼⫲755⪒⫶⩼⫲ACE)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":132,"operation_count":3,"complexity_ratio":44.0,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":5425,"base":15},"right_expr":{"type":"numeric_atoms","value":4655,"base":15}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1655,"base":15},"right_expr":{"type":"numeric_atoms","value":2444,"base":15}}},"used_operators":["SUmda5xLS4","DyGG3AbaNP","f6k1SAg4EE"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd"],"result":"⫶⩼⫲12A4","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=5425","layer":2},{"info":"number node, value=4655","layer":2},{"info":"compute binary expreesion, left_input=5425, right_input=4655, 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=1655","layer":2},{"info":"number node, value=2444","layer":2},{"info":"compute binary expreesion, left_input=1655, right_input=2444, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4099","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-4099, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲191A∼⫶⩼⫲15A5⪄(⫶⩼⫲755⪒⫶⩼⫲ACE)=⫶⩼⫲12A4","reverse_text":"⫶⩼⫲12A4=⫶⩼⫲191A∼⫶⩼⫲15A5⪄(⫶⩼⫲755⪒⫶⩼⫲ACE)","cot":[{"info":"⫶⩼⫲191A∼⫶⩼⫲15A5=NaN","layer":1},{"info":"⫶⩼⫲755⪒⫶⩼⫲ACE=⫶⩼⫲-1334","layer":1},{"info":"NaN⪄⫶⩼⫲-1334=⫶⩼⫲12A4","layer":0}]}
{"id":550,"expression_no_base_symbol":"↯⪼($3010$⨳⩥⨓$2209$)","expression":"↯⪼(⫶⩼⫲D5A⨳⩥⨓⫶⩼⫲9C4)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":16,"operation_count":2,"complexity_ratio":8.0,"tree":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":3010,"base":15},"right_expr":{"type":"numeric_atoms","value":2209,"base":15}}},"used_operators":["8jW3W4yZS5","nCS4ZIUYfx"],"dependent_operators":["eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","W4YGzv6Whe","rysDP5nf3Z"],"result":"⫶⩼⫲30A","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=3010","layer":2},{"info":"number node, value=2209","layer":2},{"info":"compute binary expreesion, left_input=3010, right_input=2209, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-801","layer":1},{"info":"compute unary expreesion, input=-801, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=685","layer":0}],"base":15,"result_base":15,"text":"↯⪼(⫶⩼⫲D5A⨳⩥⨓⫶⩼⫲9C4)=⫶⩼⫲30A","reverse_text":"⫶⩼⫲30A=↯⪼(⫶⩼⫲D5A⨳⩥⨓⫶⩼⫲9C4)","cot":[{"info":"⫶⩼⫲D5A⨳⩥⨓⫶⩼⫲9C4=⫶⩼⫲-386","layer":1},{"info":"↯⪼⫶⩼⫲-386=⫶⩼⫲30A","layer":0}]}
{"id":551,"expression_no_base_symbol":"$5408$≎⊠⪸$4224$⨽($1165$%$5222$)","expression":"⫶⩼⫲1908≎⊠⪸⫶⩼⫲13B9⨽(⫶⩼⫲52A%⫶⩼⫲1832)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1400479,"operation_count":3,"complexity_ratio":466826.3333333333,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":5408,"base":15},"right_expr":{"type":"numeric_atoms","value":4224,"base":15}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1165,"base":15},"right_expr":{"type":"numeric_atoms","value":5222,"base":15}}},"used_operators":["8HhzD0ZcuI","bJkvcejdHO","k8jYdgA6NY"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z"],"result":"-Inf","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=5408","layer":2},{"info":"number node, value=4224","layer":2},{"info":"compute binary expreesion, left_input=5408, right_input=4224, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1400199","layer":1},{"info":"number node, value=1165","layer":2},{"info":"number node, value=5222","layer":2},{"info":"compute binary expreesion, left_input=1165, right_input=5222, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1165","layer":1},{"info":"compute binary expreesion, left_input=1400199, right_input=1165, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-inf","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲1908≎⊠⪸⫶⩼⫲13B9⨽(⫶⩼⫲52A%⫶⩼⫲1832)=-Inf","reverse_text":"-Inf=⫶⩼⫲1908≎⊠⪸⫶⩼⫲13B9⨽(⫶⩼⫲52A%⫶⩼⫲1832)","cot":[{"info":"⫶⩼⫲1908≎⊠⪸⫶⩼⫲13B9=⫶⩼⫲1C9D19","layer":1},{"info":"⫶⩼⫲52A%⫶⩼⫲1832=⫶⩼⫲52A","layer":1},{"info":"⫶⩼⫲1C9D19⨽⫶⩼⫲52A=-Inf","layer":0}]}
{"id":552,"expression_no_base_symbol":"($2447$⋫)/($4242$/$4394$)","expression":"(⫶⩼⫲AD2⋫)/(⫶⩼⫲13CC/⫶⩼⫲147E)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2449,"operation_count":3,"complexity_ratio":816.3333333333334,"tree":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":2447,"base":15}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":4242,"base":15},"right_expr":{"type":"numeric_atoms","value":4394,"base":15}}},"used_operators":["XhwjNDsVaA","JL8yIekQnl"],"dependent_operators":["rysDP5nf3Z","tmPS8pqC7x"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=2447","layer":2},{"info":"compute unary expreesion, input=2447, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=2447","layer":1},{"info":"number node, value=4242","layer":2},{"info":"number node, value=4394","layer":2},{"info":"compute binary expreesion, left_input=4242, right_input=4394, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":1},{"info":"compute binary expreesion, left_input=2447, right_input=0, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲AD2⋫)/(⫶⩼⫲13CC/⫶⩼⫲147E)=NaN","reverse_text":"NaN=(⫶⩼⫲AD2⋫)/(⫶⩼⫲13CC/⫶⩼⫲147E)","cot":[{"info":"⫶⩼⫲AD2⋫=⫶⩼⫲AD2","layer":1},{"info":"⫶⩼⫲13CC/⫶⩼⫲147E=⫶⩼⫲0","layer":1},{"info":"⫶⩼⫲AD2/⫶⩼⫲0=NaN","layer":0}]}
{"id":553,"expression_no_base_symbol":"$1203$⪛$3941$⪨≂($8122$⩠)","expression":"⫶⩼⫲553⪛⫶⩼⫲127B⪨≂(⫶⩼⫲2617⩠)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":27,"operation_count":3,"complexity_ratio":9.0,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1203,"base":15},"right_expr":{"type":"numeric_atoms","value":3941,"base":15}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":8122,"base":15}}},"used_operators":["sdazOOVcIp","uFcxV4UQCh","sJAwomhLZr"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C"],"result":"⫶⩼⫲B23","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1203","layer":2},{"info":"number node, value=3941","layer":2},{"info":"compute binary expreesion, left_input=1203, right_input=3941, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1203","layer":1},{"info":"number node, value=8122","layer":2},{"info":"compute unary expreesion, input=8122, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=1203, 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=2508","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲553⪛⫶⩼⫲127B⪨≂(⫶⩼⫲2617⩠)=⫶⩼⫲B23","reverse_text":"⫶⩼⫲B23=⫶⩼⫲553⪛⫶⩼⫲127B⪨≂(⫶⩼⫲2617⩠)","cot":[{"info":"⫶⩼⫲553⪛⫶⩼⫲127B=⫶⩼⫲553","layer":1},{"info":"⫶⩼⫲2617⩠=⫶⩼⫲0","layer":1},{"info":"⫶⩼⫲553⪨≂⫶⩼⫲0=⫶⩼⫲B23","layer":0}]}
{"id":554,"expression_no_base_symbol":"($1178$≎⊠⪸$3729$)∼($1218$↬$1078$)","expression":"(⫶⩼⫲538≎⊠⪸⫶⩼⫲1189)∼(⫶⩼⫲563↬⫶⩼⫲4BD)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6246,"operation_count":3,"complexity_ratio":2082.0,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1178,"base":15},"right_expr":{"type":"numeric_atoms","value":3729,"base":15}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1218,"base":15},"right_expr":{"type":"numeric_atoms","value":1078,"base":15}}},"used_operators":["DyGG3AbaNP","bJkvcejdHO","B5M0gjZbta"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1178","layer":2},{"info":"number node, value=3729","layer":2},{"info":"compute binary expreesion, left_input=1178, right_input=3729, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=304629","layer":1},{"info":"number node, value=1218","layer":2},{"info":"number node, value=1078","layer":2},{"info":"compute binary expreesion, left_input=1218, 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":1},{"info":"compute binary expreesion, left_input=304629, 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":15,"result_base":15,"text":"(⫶⩼⫲538≎⊠⪸⫶⩼⫲1189)∼(⫶⩼⫲563↬⫶⩼⫲4BD)=NaN","reverse_text":"NaN=(⫶⩼⫲538≎⊠⪸⫶⩼⫲1189)∼(⫶⩼⫲563↬⫶⩼⫲4BD)","cot":[{"info":"⫶⩼⫲538≎⊠⪸⫶⩼⫲1189=⫶⩼⫲603D9","layer":1},{"info":"⫶⩼⫲563↬⫶⩼⫲4BD=NaN","layer":1},{"info":"⫶⩼⫲603D9∼NaN=NaN","layer":0}]}
{"id":555,"expression_no_base_symbol":"$1206$⇼⇔∾$2258$⨵⪆$1802$⨟⋌⩍$4758$","expression":"⫶⩼⫲556⇼⇔∾⫶⩼⫲A08⨵⪆⫶⩼⫲802⨟⋌⩍⫶⩼⫲1623","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4,"operation_count":3,"complexity_ratio":1.3333333333333333,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1206,"base":15},"right_expr":{"type":"numeric_atoms","value":2258,"base":15}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1802,"base":15},"right_expr":{"type":"numeric_atoms","value":4758,"base":15}}},"used_operators":["2DQ55sFlQl","tifHPKVTfV","rGHVDoGpnC"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr"],"result":"⫶⩼⫲AA","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1206","layer":2},{"info":"number node, value=2258","layer":2},{"info":"compute binary expreesion, left_input=1206, right_input=2258, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1052","layer":1},{"info":"number node, value=1802","layer":2},{"info":"number node, value=4758","layer":2},{"info":"compute binary expreesion, left_input=1802, right_input=4758, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=1052, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲556⇼⇔∾⫶⩼⫲A08⨵⪆⫶⩼⫲802⨟⋌⩍⫶⩼⫲1623=⫶⩼⫲AA","reverse_text":"⫶⩼⫲AA=⫶⩼⫲556⇼⇔∾⫶⩼⫲A08⨵⪆⫶⩼⫲802⨟⋌⩍⫶⩼⫲1623","cot":[{"info":"⫶⩼⫲556⇼⇔∾⫶⩼⫲A08=⫶⩼⫲4A2","layer":1},{"info":"⫶⩼⫲802⨟⋌⩍⫶⩼⫲1623=NaN","layer":1},{"info":"⫶⩼⫲4A2⨵⪆NaN=⫶⩼⫲AA","layer":0}]}
{"id":556,"expression_no_base_symbol":"(⊙↵-$4393$)⇋≉","expression":"(⊙↵-⫶⩼⫲147D)⇋≉","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4442,"operation_count":2,"complexity_ratio":2221.0,"tree":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":4393,"base":15}}},"used_operators":["XIabStNQrY","oWn0xqSxBt"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X"],"result":"⫶⩼⫲-6A","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=4393","layer":2},{"info":"compute unary expreesion, input=4393, 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 = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=-100","layer":0}],"base":15,"result_base":15,"text":"(⊙↵-⫶⩼⫲147D)⇋≉=⫶⩼⫲-6A","reverse_text":"⫶⩼⫲-6A=(⊙↵-⫶⩼⫲147D)⇋≉","cot":[{"info":"⊙↵-⫶⩼⫲147D=⫶⩼⫲-1","layer":1},{"info":"⫶⩼⫲-1⇋≉=⫶⩼⫲-6A","layer":0}]}
{"id":557,"expression_no_base_symbol":"(↥$2049$)*$4137$⫥∨⫟$6949$","expression":"(↥⫶⩼⫲919)*⫶⩼⫲135C⫥∨⫟⫶⩼⫲20D4","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":195,"operation_count":3,"complexity_ratio":65.0,"tree":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":2049,"base":15}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":4137,"base":15},"right_expr":{"type":"numeric_atoms","value":6949,"base":15}}},"used_operators":["9HNa5Wba9A","A8NUZmVepG","KYD54nUTWz"],"dependent_operators":["W4YGzv6Whe","k8jYdgA6NY","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=2049","layer":2},{"info":"compute unary expreesion, input=2049, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=9","layer":1},{"info":"number node, value=4137","layer":2},{"info":"number node, value=6949","layer":2},{"info":"compute binary expreesion, left_input=4137, right_input=6949, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=9, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":15,"result_base":15,"text":"(↥⫶⩼⫲919)*⫶⩼⫲135C⫥∨⫟⫶⩼⫲20D4=NaN","reverse_text":"NaN=(↥⫶⩼⫲919)*⫶⩼⫲135C⫥∨⫟⫶⩼⫲20D4","cot":[{"info":"↥⫶⩼⫲919=⫶⩼⫲9","layer":1},{"info":"⫶⩼⫲135C⫥∨⫟⫶⩼⫲20D4=NaN","layer":1},{"info":"⫶⩼⫲9*NaN=NaN","layer":0}]}
{"id":558,"expression_no_base_symbol":"(↯⪼$1631$)⨓(⩦⩻⨪$1164$)","expression":"(↯⪼⫶⩼⫲73B)⨓(⩦⩻⨪⫶⩼⫲529)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1204,"operation_count":3,"complexity_ratio":401.3333333333333,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1631,"base":15}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":1164,"base":15}}},"used_operators":["3ViojmjbAp","8jW3W4yZS5","2td37pGCOC"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd"],"result":"⫶⩼⫲-52C","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1631","layer":2},{"info":"compute unary expreesion, input=1631, 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=1164","layer":2},{"info":"compute unary expreesion, input=1164, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1164","layer":1},{"info":"compute binary expreesion, left_input=-21, right_input=1164, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1167","layer":0}],"base":15,"result_base":15,"text":"(↯⪼⫶⩼⫲73B)⨓(⩦⩻⨪⫶⩼⫲529)=⫶⩼⫲-52C","reverse_text":"⫶⩼⫲-52C=(↯⪼⫶⩼⫲73B)⨓(⩦⩻⨪⫶⩼⫲529)","cot":[{"info":"↯⪼⫶⩼⫲73B=⫶⩼⫲-16","layer":1},{"info":"⩦⩻⨪⫶⩼⫲529=⫶⩼⫲529","layer":1},{"info":"⫶⩼⫲-16⨓⫶⩼⫲529=⫶⩼⫲-52C","layer":0}]}
{"id":559,"expression_no_base_symbol":"$2817$⨎$3788$⊘","expression":"⫶⩼⫲C7C⨎⫶⩼⫲11C8⊘","highest_n_order":2,"priority_hierarchical_complexity":1,"normalized_expansion_degree":20,"operation_count":2,"complexity_ratio":10.0,"tree":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2817,"base":15},"right_expr":{"type":"numeric_atoms","value":3788,"base":15}}},"used_operators":["gu96TGCTMs","rJVOvQCfKK"],"dependent_operators":["XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"⫶⩼⫲0","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=2817","layer":2},{"info":"number node, value=3788","layer":2},{"info":"compute binary expreesion, left_input=2817, right_input=3788, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3788","layer":1},{"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":0}],"base":15,"result_base":15,"text":"⫶⩼⫲C7C⨎⫶⩼⫲11C8⊘=⫶⩼⫲0","reverse_text":"⫶⩼⫲0=⫶⩼⫲C7C⨎⫶⩼⫲11C8⊘","cot":[{"info":"⫶⩼⫲C7C⨎⫶⩼⫲11C8=⫶⩼⫲11C8","layer":1},{"info":"⫶⩼⫲11C8⊘=⫶⩼⫲0","layer":0}]}
{"id":560,"expression_no_base_symbol":"($2521$⪢$1262$)⊴($1290$⊭↱$1121$)","expression":"(⫶⩼⫲B31⪢⫶⩼⫲592)⊴(⫶⩼⫲5B0⊭↱⫶⩼⫲4EB)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4967,"operation_count":3,"complexity_ratio":1655.6666666666667,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2521,"base":15},"right_expr":{"type":"numeric_atoms","value":1262,"base":15}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1290,"base":15},"right_expr":{"type":"numeric_atoms","value":1121,"base":15}}},"used_operators":["Nsiff2A1zJ","dWAJyo7jo9","COABgblf1C"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2521","layer":2},{"info":"number node, value=1262","layer":2},{"info":"compute binary expreesion, left_input=2521, right_input=1262, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=1290","layer":2},{"info":"number node, value=1121","layer":2},{"info":"compute binary expreesion, left_input=1290, right_input=1121, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-333","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-333, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲B31⪢⫶⩼⫲592)⊴(⫶⩼⫲5B0⊭↱⫶⩼⫲4EB)=NaN","reverse_text":"NaN=(⫶⩼⫲B31⪢⫶⩼⫲592)⊴(⫶⩼⫲5B0⊭↱⫶⩼⫲4EB)","cot":[{"info":"⫶⩼⫲B31⪢⫶⩼⫲592=NaN","layer":1},{"info":"⫶⩼⫲5B0⊭↱⫶⩼⫲4EB=⫶⩼⫲-173","layer":1},{"info":"NaN⊴⫶⩼⫲-173=NaN","layer":0}]}
{"id":561,"expression_no_base_symbol":"(≦∁$4051$)⫡⨏$1251$⩚⊴⇥$2875$","expression":"(≦∁⫶⩼⫲1301)⫡⨏⫶⩼⫲586⩚⊴⇥⫶⩼⫲CBA","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":11,"operation_count":3,"complexity_ratio":3.6666666666666665,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":4051,"base":15}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1251,"base":15},"right_expr":{"type":"numeric_atoms","value":2875,"base":15}}},"used_operators":["QMFrweE19q","9ICcGScMcE","NTOWxs364D"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"⫶⩼⫲3AB4","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=4051","layer":2},{"info":"compute unary expreesion, input=4051, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=4051","layer":1},{"info":"number node, value=1251","layer":2},{"info":"number node, value=2875","layer":2},{"info":"compute binary expreesion, left_input=1251, right_input=2875, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4247","layer":1},{"info":"compute binary expreesion, left_input=4051, right_input=-4247, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=12544","layer":0}],"base":15,"result_base":15,"text":"(≦∁⫶⩼⫲1301)⫡⨏⫶⩼⫲586⩚⊴⇥⫶⩼⫲CBA=⫶⩼⫲3AB4","reverse_text":"⫶⩼⫲3AB4=(≦∁⫶⩼⫲1301)⫡⨏⫶⩼⫲586⩚⊴⇥⫶⩼⫲CBA","cot":[{"info":"≦∁⫶⩼⫲1301=⫶⩼⫲1301","layer":1},{"info":"⫶⩼⫲586⩚⊴⇥⫶⩼⫲CBA=⫶⩼⫲-13D2","layer":1},{"info":"⫶⩼⫲1301⫡⨏⫶⩼⫲-13D2=⫶⩼⫲3AB4","layer":0}]}
{"id":562,"expression_no_base_symbol":"($4318$/$8163$)∲⫓$1525$≧⫂∧$4810$","expression":"(⫶⩼⫲142D/⫶⩼⫲2643)∲⫓⫶⩼⫲6BA≧⫂∧⫶⩼⫲165A","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4,"operation_count":3,"complexity_ratio":1.3333333333333333,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":4318,"base":15},"right_expr":{"type":"numeric_atoms","value":8163,"base":15}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1525,"base":15},"right_expr":{"type":"numeric_atoms","value":4810,"base":15}}},"used_operators":["i8ToyICDmI","XhwjNDsVaA","Ph9nP6C5qx"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"⫶⩼⫲0","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=4318","layer":2},{"info":"number node, value=8163","layer":2},{"info":"compute binary expreesion, left_input=4318, right_input=8163, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":1},{"info":"number node, value=1525","layer":2},{"info":"number node, value=4810","layer":2},{"info":"compute binary expreesion, left_input=1525, right_input=4810, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=4337","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=4337, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲142D/⫶⩼⫲2643)∲⫓⫶⩼⫲6BA≧⫂∧⫶⩼⫲165A=⫶⩼⫲0","reverse_text":"⫶⩼⫲0=(⫶⩼⫲142D/⫶⩼⫲2643)∲⫓⫶⩼⫲6BA≧⫂∧⫶⩼⫲165A","cot":[{"info":"⫶⩼⫲142D/⫶⩼⫲2643=⫶⩼⫲0","layer":1},{"info":"⫶⩼⫲6BA≧⫂∧⫶⩼⫲165A=⫶⩼⫲1442","layer":1},{"info":"⫶⩼⫲0∲⫓⫶⩼⫲1442=⫶⩼⫲0","layer":0}]}
{"id":563,"expression_no_base_symbol":"⋗⩬⋾(⫓⪴$2672$)","expression":"⋗⩬⋾(⫓⪴⫶⩼⫲BD2)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2675,"operation_count":2,"complexity_ratio":1337.5,"tree":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":2672,"base":15}}},"used_operators":["DpFCA1CohY","eLxqMNBOBk"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A"],"result":"⫶⩼⫲-1D3146C","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2672","layer":2},{"info":"compute unary expreesion, input=2672, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=7139584","layer":1},{"info":"compute unary expreesion, input=7139584, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-21418752","layer":0}],"base":15,"result_base":15,"text":"⋗⩬⋾(⫓⪴⫶⩼⫲BD2)=⫶⩼⫲-1D3146C","reverse_text":"⫶⩼⫲-1D3146C=⋗⩬⋾(⫓⪴⫶⩼⫲BD2)","cot":[{"info":"⫓⪴⫶⩼⫲BD2=⫶⩼⫲960674","layer":1},{"info":"⋗⩬⋾⫶⩼⫲960674=⫶⩼⫲-1D3146C","layer":0}]}
{"id":564,"expression_no_base_symbol":"($3956$⊭↱$5850$)⪮%⊝(⩦⩻⨪$1512$)","expression":"(⫶⩼⫲128B⊭↱⫶⩼⫲1B00)⪮%⊝(⩦⩻⨪⫶⩼⫲6AC)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":18,"operation_count":3,"complexity_ratio":6.0,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":3956,"base":15},"right_expr":{"type":"numeric_atoms","value":5850,"base":15}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":1512,"base":15}}},"used_operators":["IWmyXbctLI","COABgblf1C","2td37pGCOC"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⫶⩼⫲251C","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=3956","layer":2},{"info":"number node, value=5850","layer":2},{"info":"compute binary expreesion, left_input=3956, right_input=5850, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=3793","layer":1},{"info":"number node, value=1512","layer":2},{"info":"compute unary expreesion, input=1512, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1512","layer":1},{"info":"compute binary expreesion, left_input=3793, right_input=1512, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=7902","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲128B⊭↱⫶⩼⫲1B00)⪮%⊝(⩦⩻⨪⫶⩼⫲6AC)=⫶⩼⫲251C","reverse_text":"⫶⩼⫲251C=(⫶⩼⫲128B⊭↱⫶⩼⫲1B00)⪮%⊝(⩦⩻⨪⫶⩼⫲6AC)","cot":[{"info":"⫶⩼⫲128B⊭↱⫶⩼⫲1B00=⫶⩼⫲11CD","layer":1},{"info":"⩦⩻⨪⫶⩼⫲6AC=⫶⩼⫲6AC","layer":1},{"info":"⫶⩼⫲11CD⪮%⊝⫶⩼⫲6AC=⫶⩼⫲251C","layer":0}]}
{"id":565,"expression_no_base_symbol":"$2266$⪢$4066$⫡⨏($1684$⫡⨏$2758$)","expression":"⫶⩼⫲A11⪢⫶⩼⫲1311⫡⨏(⫶⩼⫲774⫡⨏⫶⩼⫲C3D)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4080,"operation_count":3,"complexity_ratio":1360.0,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2266,"base":15},"right_expr":{"type":"numeric_atoms","value":4066,"base":15}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1684,"base":15},"right_expr":{"type":"numeric_atoms","value":2758,"base":15}}},"used_operators":["QMFrweE19q","dWAJyo7jo9"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2266","layer":2},{"info":"number node, value=4066","layer":2},{"info":"compute binary expreesion, left_input=2266, right_input=4066, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=1684","layer":2},{"info":"number node, value=2758","layer":2},{"info":"compute binary expreesion, left_input=1684, right_input=2758, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=14719","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=14719, op_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":15,"result_base":15,"text":"⫶⩼⫲A11⪢⫶⩼⫲1311⫡⨏(⫶⩼⫲774⫡⨏⫶⩼⫲C3D)=NaN","reverse_text":"NaN=⫶⩼⫲A11⪢⫶⩼⫲1311⫡⨏(⫶⩼⫲774⫡⨏⫶⩼⫲C3D)","cot":[{"info":"⫶⩼⫲A11⪢⫶⩼⫲1311=NaN","layer":1},{"info":"⫶⩼⫲774⫡⨏⫶⩼⫲C3D=⫶⩼⫲4564","layer":1},{"info":"NaN⫡⨏⫶⩼⫲4564=NaN","layer":0}]}
{"id":566,"expression_no_base_symbol":"$1615$⨎$1563$⨽$3050$⋝⋈⪟$1581$","expression":"⫶⩼⫲72A⨎⫶⩼⫲6E3⨽⫶⩼⫲D85⋝⋈⪟⫶⩼⫲706","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1576,"operation_count":3,"complexity_ratio":525.3333333333334,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1615,"base":15},"right_expr":{"type":"numeric_atoms","value":1563,"base":15}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":3050,"base":15},"right_expr":{"type":"numeric_atoms","value":1581,"base":15}}},"used_operators":["8HhzD0ZcuI","rJVOvQCfKK","2DDjHMKMc0"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd"],"result":"⫶⩼⫲-99DCB3","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1615","layer":2},{"info":"number node, value=1563","layer":2},{"info":"compute binary expreesion, left_input=1615, right_input=1563, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1563","layer":1},{"info":"number node, value=3050","layer":2},{"info":"number node, value=1581","layer":2},{"info":"compute binary expreesion, left_input=3050, right_input=1581, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3050","layer":1},{"info":"compute binary expreesion, left_input=1563, right_input=3050, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-7336743","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲72A⨎⫶⩼⫲6E3⨽⫶⩼⫲D85⋝⋈⪟⫶⩼⫲706=⫶⩼⫲-99DCB3","reverse_text":"⫶⩼⫲-99DCB3=⫶⩼⫲72A⨎⫶⩼⫲6E3⨽⫶⩼⫲D85⋝⋈⪟⫶⩼⫲706","cot":[{"info":"⫶⩼⫲72A⨎⫶⩼⫲6E3=⫶⩼⫲6E3","layer":1},{"info":"⫶⩼⫲D85⋝⋈⪟⫶⩼⫲706=⫶⩼⫲D85","layer":1},{"info":"⫶⩼⫲6E3⨽⫶⩼⫲D85=⫶⩼⫲-99DCB3","layer":0}]}
{"id":567,"expression_no_base_symbol":"(⪲⇎$5733$)+⇶⊼($7551$≋⫹)","expression":"(⪲⇎⫶⩼⫲1A73)+⇶⊼(⫶⩼⫲2386≋⫹)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6,"operation_count":3,"complexity_ratio":2.0,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":5733,"base":15}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":7551,"base":15}}},"used_operators":["TpPTUOHfaN","XPYlsWDdGa","N41Kp7NANJ"],"dependent_operators":["AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=5733","layer":2},{"info":"compute unary expreesion, input=5733, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=11466","layer":1},{"info":"number node, value=7551","layer":2},{"info":"compute unary expreesion, input=7551, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-15102","layer":1},{"info":"compute binary expreesion, left_input=11466, right_input=-15102, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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":15,"result_base":15,"text":"(⪲⇎⫶⩼⫲1A73)+⇶⊼(⫶⩼⫲2386≋⫹)=NaN","reverse_text":"NaN=(⪲⇎⫶⩼⫲1A73)+⇶⊼(⫶⩼⫲2386≋⫹)","cot":[{"info":"⪲⇎⫶⩼⫲1A73=⫶⩼⫲35E6","layer":1},{"info":"⫶⩼⫲2386≋⫹=⫶⩼⫲-471C","layer":1},{"info":"⫶⩼⫲35E6+⇶⊼⫶⩼⫲-471C=NaN","layer":0}]}
{"id":568,"expression_no_base_symbol":"($1701$+$3883$)⩠","expression":"(⫶⩼⫲786+⫶⩼⫲123D)⩠","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":19,"operation_count":2,"complexity_ratio":9.5,"tree":{"type":"unary","operator":"⩠","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1701,"base":15},"right_expr":{"type":"numeric_atoms","value":3883,"base":15}}},"used_operators":["sJAwomhLZr","W4YGzv6Whe"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C"],"result":"⫶⩼⫲0","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1701","layer":2},{"info":"number node, value=3883","layer":2},{"info":"compute binary expreesion, left_input=1701, right_input=3883, op_id = W4YGzv6Whe binary_op_definition= 'None', output=5584","layer":1},{"info":"compute unary expreesion, input=5584, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲786+⫶⩼⫲123D)⩠=⫶⩼⫲0","reverse_text":"⫶⩼⫲0=(⫶⩼⫲786+⫶⩼⫲123D)⩠","cot":[{"info":"⫶⩼⫲786+⫶⩼⫲123D=⫶⩼⫲19C4","layer":1},{"info":"⫶⩼⫲19C4⩠=⫶⩼⫲0","layer":0}]}
{"id":569,"expression_no_base_symbol":"(≉$5316$)⩚⊴⇥($5507$⋷$5988$)","expression":"(≉⫶⩼⫲1896)⩚⊴⇥(⫶⩼⫲1972⋷⫶⩼⫲1B93)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":8,"operation_count":3,"complexity_ratio":2.6666666666666665,"tree":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":5316,"base":15}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":5507,"base":15},"right_expr":{"type":"numeric_atoms","value":5988,"base":15}}},"used_operators":["NTOWxs364D","e1ybzncUwg","23Mk6UjR3U"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⫶⩼⫲-3A42","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=5316","layer":2},{"info":"compute unary expreesion, input=5316, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=5847","layer":1},{"info":"number node, value=5507","layer":2},{"info":"number node, value=5988","layer":2},{"info":"compute binary expreesion, left_input=5507, right_input=5988, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=6469","layer":1},{"info":"compute binary expreesion, left_input=5847, right_input=6469, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-12437","layer":0}],"base":15,"result_base":15,"text":"(≉⫶⩼⫲1896)⩚⊴⇥(⫶⩼⫲1972⋷⫶⩼⫲1B93)=⫶⩼⫲-3A42","reverse_text":"⫶⩼⫲-3A42=(≉⫶⩼⫲1896)⩚⊴⇥(⫶⩼⫲1972⋷⫶⩼⫲1B93)","cot":[{"info":"≉⫶⩼⫲1896=⫶⩼⫲1AEC","layer":1},{"info":"⫶⩼⫲1972⋷⫶⩼⫲1B93=⫶⩼⫲1DB4","layer":1},{"info":"⫶⩼⫲1AEC⩚⊴⇥⫶⩼⫲1DB4=⫶⩼⫲-3A42","layer":0}]}
{"id":570,"expression_no_base_symbol":"$2804$≹⇙⪍$3543$≧⫂∧($1310$⨰$2767$)","expression":"⫶⩼⫲C6E≹⇙⪍⫶⩼⫲10B3≧⫂∧(⫶⩼⫲5C5⨰⫶⩼⫲C47)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":9,"operation_count":3,"complexity_ratio":3.0,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2804,"base":15},"right_expr":{"type":"numeric_atoms","value":3543,"base":15}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1310,"base":15},"right_expr":{"type":"numeric_atoms","value":2767,"base":15}}},"used_operators":["Ph9nP6C5qx","AHs5Up7iyr","eewbuw0ToL"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2804","layer":2},{"info":"number node, value=3543","layer":2},{"info":"compute binary expreesion, left_input=2804, right_input=3543, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=1310","layer":2},{"info":"number node, value=2767","layer":2},{"info":"compute binary expreesion, left_input=1310, right_input=2767, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-1447","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-1447, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲C6E≹⇙⪍⫶⩼⫲10B3≧⫂∧(⫶⩼⫲5C5⨰⫶⩼⫲C47)=NaN","reverse_text":"NaN=⫶⩼⫲C6E≹⇙⪍⫶⩼⫲10B3≧⫂∧(⫶⩼⫲5C5⨰⫶⩼⫲C47)","cot":[{"info":"⫶⩼⫲C6E≹⇙⪍⫶⩼⫲10B3=NaN","layer":1},{"info":"⫶⩼⫲5C5⨰⫶⩼⫲C47=⫶⩼⫲-667","layer":1},{"info":"NaN≧⫂∧⫶⩼⫲-667=NaN","layer":0}]}
{"id":571,"expression_no_base_symbol":"($2231$⫡⨏$1137$)∀⇚≩($1406$⨽$1324$)","expression":"(⫶⩼⫲9DB⫡⨏⫶⩼⫲50C)∀⇚≩(⫶⩼⫲63B⨽⫶⩼⫲5D4)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":100906,"operation_count":3,"complexity_ratio":33635.333333333336,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2231,"base":15},"right_expr":{"type":"numeric_atoms","value":1137,"base":15}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1406,"base":15},"right_expr":{"type":"numeric_atoms","value":1324,"base":15}}},"used_operators":["LRNGc0VcxI","QMFrweE19q","8HhzD0ZcuI"],"dependent_operators":["X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2231","layer":2},{"info":"number node, value=1137","layer":2},{"info":"compute binary expreesion, left_input=2231, right_input=1137, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=14212","layer":1},{"info":"number node, value=1406","layer":2},{"info":"number node, value=1324","layer":2},{"info":"compute binary expreesion, left_input=1406, right_input=1324, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-5933166","layer":1},{"info":"compute binary expreesion, left_input=14212, right_input=-5933166, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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":15,"result_base":15,"text":"(⫶⩼⫲9DB⫡⨏⫶⩼⫲50C)∀⇚≩(⫶⩼⫲63B⨽⫶⩼⫲5D4)=NaN","reverse_text":"NaN=(⫶⩼⫲9DB⫡⨏⫶⩼⫲50C)∀⇚≩(⫶⩼⫲63B⨽⫶⩼⫲5D4)","cot":[{"info":"⫶⩼⫲9DB⫡⨏⫶⩼⫲50C=⫶⩼⫲4327","layer":1},{"info":"⫶⩼⫲63B⨽⫶⩼⫲5D4=⫶⩼⫲-7C2E96","layer":1},{"info":"⫶⩼⫲4327∀⇚≩⫶⩼⫲-7C2E96=NaN","layer":0}]}
{"id":572,"expression_no_base_symbol":"⊄⩳↩($8062$⩠)","expression":"⊄⩳↩(⫶⩼⫲25C7⩠)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":21,"operation_count":2,"complexity_ratio":10.5,"tree":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":8062,"base":15}}},"used_operators":["8w2t5hMYqp","sJAwomhLZr"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C"],"result":"⫶⩼⫲0","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=8062","layer":2},{"info":"compute unary expreesion, input=8062, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=0","layer":0}],"base":15,"result_base":15,"text":"⊄⩳↩(⫶⩼⫲25C7⩠)=⫶⩼⫲0","reverse_text":"⫶⩼⫲0=⊄⩳↩(⫶⩼⫲25C7⩠)","cot":[{"info":"⫶⩼⫲25C7⩠=⫶⩼⫲0","layer":1},{"info":"⊄⩳↩⫶⩼⫲0=⫶⩼⫲0","layer":0}]}
{"id":573,"expression_no_base_symbol":"⊄⩳↩$4347$∼$2042$","expression":"⊄⩳↩⫶⩼⫲144C∼⫶⩼⫲912","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":90,"operation_count":2,"complexity_ratio":45.0,"tree":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":4347,"base":15},"right_expr":{"type":"numeric_atoms","value":2042,"base":15}}},"used_operators":["8w2t5hMYqp","DyGG3AbaNP"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=4347","layer":2},{"info":"number node, value=2042","layer":2},{"info":"compute binary expreesion, left_input=4347, right_input=2042, 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 = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"⊄⩳↩⫶⩼⫲144C∼⫶⩼⫲912=NaN","reverse_text":"NaN=⊄⩳↩⫶⩼⫲144C∼⫶⩼⫲912","cot":[{"info":"⫶⩼⫲144C∼⫶⩼⫲912=NaN","layer":1},{"info":"⊄⩳↩NaN=NaN","layer":0}]}
{"id":574,"expression_no_base_symbol":"($8461$↺$1363$)↬($2516$∲⫓$6251$)","expression":"(⫶⩼⫲2791↺⫶⩼⫲60D)↬(⫶⩼⫲B2B∲⫓⫶⩼⫲1CBB)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5,"operation_count":3,"complexity_ratio":1.6666666666666667,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":8461,"base":15},"right_expr":{"type":"numeric_atoms","value":1363,"base":15}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2516,"base":15},"right_expr":{"type":"numeric_atoms","value":6251,"base":15}}},"used_operators":["B5M0gjZbta","7j4O788W3g","i8ToyICDmI"],"dependent_operators":["rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=8461","layer":2},{"info":"number node, value=1363","layer":2},{"info":"compute binary expreesion, left_input=8461, right_input=1363, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1363","layer":1},{"info":"number node, value=2516","layer":2},{"info":"number node, value=6251","layer":2},{"info":"compute binary expreesion, left_input=2516, right_input=6251, 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=1363, 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":15,"result_base":15,"text":"(⫶⩼⫲2791↺⫶⩼⫲60D)↬(⫶⩼⫲B2B∲⫓⫶⩼⫲1CBB)=NaN","reverse_text":"NaN=(⫶⩼⫲2791↺⫶⩼⫲60D)↬(⫶⩼⫲B2B∲⫓⫶⩼⫲1CBB)","cot":[{"info":"⫶⩼⫲2791↺⫶⩼⫲60D=⫶⩼⫲60D","layer":1},{"info":"⫶⩼⫲B2B∲⫓⫶⩼⫲1CBB=⫶⩼⫲0","layer":1},{"info":"⫶⩼⫲60D↬⫶⩼⫲0=NaN","layer":0}]}
{"id":575,"expression_no_base_symbol":"($2975$+⇶⊼$6779$)⨪↰⇹($1675$+$3873$)","expression":"(⫶⩼⫲D35+⇶⊼⫶⩼⫲201E)⨪↰⇹(⫶⩼⫲76A+⫶⩼⫲1233)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3,"operation_count":3,"complexity_ratio":1.0,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2975,"base":15},"right_expr":{"type":"numeric_atoms","value":6779,"base":15}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1675,"base":15},"right_expr":{"type":"numeric_atoms","value":3873,"base":15}}},"used_operators":["tmPS8pqC7x","TpPTUOHfaN","W4YGzv6Whe"],"dependent_operators":["rJVOvQCfKK","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=2975","layer":2},{"info":"number node, value=6779","layer":2},{"info":"compute binary expreesion, left_input=2975, right_input=6779, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=1675","layer":2},{"info":"number node, value=3873","layer":2},{"info":"compute binary expreesion, left_input=1675, right_input=3873, op_id = W4YGzv6Whe binary_op_definition= 'None', output=5548","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=5548, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((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":15,"result_base":15,"text":"(⫶⩼⫲D35+⇶⊼⫶⩼⫲201E)⨪↰⇹(⫶⩼⫲76A+⫶⩼⫲1233)=NaN","reverse_text":"NaN=(⫶⩼⫲D35+⇶⊼⫶⩼⫲201E)⨪↰⇹(⫶⩼⫲76A+⫶⩼⫲1233)","cot":[{"info":"⫶⩼⫲D35+⇶⊼⫶⩼⫲201E=NaN","layer":1},{"info":"⫶⩼⫲76A+⫶⩼⫲1233=⫶⩼⫲199D","layer":1},{"info":"NaN⨪↰⇹⫶⩼⫲199D=NaN","layer":0}]}
{"id":576,"expression_no_base_symbol":"(∥⊫$2412$)⫡⨏$4018$⪒$1420$","expression":"(∥⊫⫶⩼⫲AAC)⫡⨏⫶⩼⫲12CD⪒⫶⩼⫲64A","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":14,"operation_count":3,"complexity_ratio":4.666666666666667,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":2412,"base":15}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":4018,"base":15},"right_expr":{"type":"numeric_atoms","value":1420,"base":15}}},"used_operators":["QMFrweE19q","P8v4zCKN1o","f6k1SAg4EE"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⫶⩼⫲1D07","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2412","layer":2},{"info":"compute unary expreesion, input=2412, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=3280","layer":1},{"info":"number node, value=4018","layer":2},{"info":"number node, value=1420","layer":2},{"info":"compute binary expreesion, left_input=4018, right_input=1420, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5438","layer":1},{"info":"compute binary expreesion, left_input=3280, right_input=-5438, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=6307","layer":0}],"base":15,"result_base":15,"text":"(∥⊫⫶⩼⫲AAC)⫡⨏⫶⩼⫲12CD⪒⫶⩼⫲64A=⫶⩼⫲1D07","reverse_text":"⫶⩼⫲1D07=(∥⊫⫶⩼⫲AAC)⫡⨏⫶⩼⫲12CD⪒⫶⩼⫲64A","cot":[{"info":"∥⊫⫶⩼⫲AAC=⫶⩼⫲E8A","layer":1},{"info":"⫶⩼⫲12CD⪒⫶⩼⫲64A=⫶⩼⫲-1928","layer":1},{"info":"⫶⩼⫲E8A⫡⨏⫶⩼⫲-1928=⫶⩼⫲1D07","layer":0}]}
{"id":577,"expression_no_base_symbol":"⋗⩬⋾$1113$⪢$3434$","expression":"⋗⩬⋾⫶⩼⫲4E3⪢⫶⩼⫲103E","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3437,"operation_count":2,"complexity_ratio":1718.5,"tree":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1113,"base":15},"right_expr":{"type":"numeric_atoms","value":3434,"base":15}}},"used_operators":["DpFCA1CohY","dWAJyo7jo9"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1113","layer":2},{"info":"number node, value=3434","layer":2},{"info":"compute binary expreesion, left_input=1113, right_input=3434, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=nan","layer":0}],"base":15,"result_base":15,"text":"⋗⩬⋾⫶⩼⫲4E3⪢⫶⩼⫲103E=NaN","reverse_text":"NaN=⋗⩬⋾⫶⩼⫲4E3⪢⫶⩼⫲103E","cot":[{"info":"⫶⩼⫲4E3⪢⫶⩼⫲103E=NaN","layer":1},{"info":"⋗⩬⋾NaN=NaN","layer":0}]}
{"id":578,"expression_no_base_symbol":"($1590$≦≮≮)⪒$3691$⇷$1894$","expression":"(⫶⩼⫲710≦≮≮)⪒⫶⩼⫲1161⇷⫶⩼⫲864","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":51686,"operation_count":3,"complexity_ratio":17228.666666666668,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":1590,"base":15}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":3691,"base":15},"right_expr":{"type":"numeric_atoms","value":1894,"base":15}}},"used_operators":["f6k1SAg4EE","D4vGDi5EA2","mp7IySMOzn"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"⫶⩼⫲457","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1590","layer":2},{"info":"compute unary expreesion, input=1590, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-4770","layer":1},{"info":"number node, value=3691","layer":2},{"info":"number node, value=1894","layer":2},{"info":"compute binary expreesion, left_input=3691, right_input=1894, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3788","layer":1},{"info":"compute binary expreesion, left_input=-4770, right_input=3788, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=982","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲710≦≮≮)⪒⫶⩼⫲1161⇷⫶⩼⫲864=⫶⩼⫲457","reverse_text":"⫶⩼⫲457=(⫶⩼⫲710≦≮≮)⪒⫶⩼⫲1161⇷⫶⩼⫲864","cot":[{"info":"⫶⩼⫲710≦≮≮=⫶⩼⫲-1630","layer":1},{"info":"⫶⩼⫲1161⇷⫶⩼⫲864=⫶⩼⫲11C8","layer":1},{"info":"⫶⩼⫲-1630⪒⫶⩼⫲11C8=⫶⩼⫲457","layer":0}]}
{"id":579,"expression_no_base_symbol":"$2344$⪛$7855$⋥≓≎$1719$⩚⊴⇥$2797$","expression":"⫶⩼⫲A64⪛⫶⩼⫲24DA⋥≓≎⫶⩼⫲799⩚⊴⇥⫶⩼⫲C67","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":11,"operation_count":3,"complexity_ratio":3.6666666666666665,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2344,"base":15},"right_expr":{"type":"numeric_atoms","value":7855,"base":15}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1719,"base":15},"right_expr":{"type":"numeric_atoms","value":2797,"base":15}}},"used_operators":["Qy55tPpLXF","uFcxV4UQCh","NTOWxs364D"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"⫶⩼⫲-3675","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2344","layer":2},{"info":"number node, value=7855","layer":2},{"info":"compute binary expreesion, left_input=2344, right_input=7855, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2344","layer":1},{"info":"number node, value=1719","layer":2},{"info":"number node, value=2797","layer":2},{"info":"compute binary expreesion, left_input=1719, right_input=2797, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4637","layer":1},{"info":"compute binary expreesion, left_input=2344, right_input=-4637, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-11585","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲A64⪛⫶⩼⫲24DA⋥≓≎⫶⩼⫲799⩚⊴⇥⫶⩼⫲C67=⫶⩼⫲-3675","reverse_text":"⫶⩼⫲-3675=⫶⩼⫲A64⪛⫶⩼⫲24DA⋥≓≎⫶⩼⫲799⩚⊴⇥⫶⩼⫲C67","cot":[{"info":"⫶⩼⫲A64⪛⫶⩼⫲24DA=⫶⩼⫲A64","layer":1},{"info":"⫶⩼⫲799⩚⊴⇥⫶⩼⫲C67=⫶⩼⫲-1592","layer":1},{"info":"⫶⩼⫲A64⋥≓≎⫶⩼⫲-1592=⫶⩼⫲-3675","layer":0}]}
{"id":580,"expression_no_base_symbol":"$3697$⊴$1545$⋷$4793$∲⫓$3173$","expression":"⫶⩼⫲1167⊴⫶⩼⫲6D0⋷⫶⩼⫲1648∲⫓⫶⩼⫲E18","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5630,"operation_count":3,"complexity_ratio":1876.6666666666667,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":3697,"base":15},"right_expr":{"type":"numeric_atoms","value":1545,"base":15}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":4793,"base":15},"right_expr":{"type":"numeric_atoms","value":3173,"base":15}}},"used_operators":["23Mk6UjR3U","Nsiff2A1zJ","i8ToyICDmI"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=3697","layer":2},{"info":"number node, value=1545","layer":2},{"info":"compute binary expreesion, left_input=3697, right_input=1545, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=4793","layer":2},{"info":"number node, value=3173","layer":2},{"info":"compute binary expreesion, left_input=4793, right_input=3173, 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":15,"result_base":15,"text":"⫶⩼⫲1167⊴⫶⩼⫲6D0⋷⫶⩼⫲1648∲⫓⫶⩼⫲E18=NaN","reverse_text":"NaN=⫶⩼⫲1167⊴⫶⩼⫲6D0⋷⫶⩼⫲1648∲⫓⫶⩼⫲E18","cot":[{"info":"⫶⩼⫲1167⊴⫶⩼⫲6D0=NaN","layer":1},{"info":"⫶⩼⫲1648∲⫓⫶⩼⫲E18=⫶⩼⫲0","layer":1},{"info":"NaN⋷⫶⩼⫲0=NaN","layer":0}]}
{"id":581,"expression_no_base_symbol":"($1311$⊉≛↸$1872$)⋳⪒($1486$⇼⇔∾$1126$)","expression":"(⫶⩼⫲5C6⊉≛↸⫶⩼⫲84C)⋳⪒(⫶⩼⫲691⇼⇔∾⫶⩼⫲501)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":11,"operation_count":3,"complexity_ratio":3.6666666666666665,"tree":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1311,"base":15},"right_expr":{"type":"numeric_atoms","value":1872,"base":15}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1486,"base":15},"right_expr":{"type":"numeric_atoms","value":1126,"base":15}}},"used_operators":["12rbrZMWeM","DZ8iAZOCBD","tifHPKVTfV"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⫶⩼⫲1897","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1311","layer":2},{"info":"number node, value=1872","layer":2},{"info":"compute binary expreesion, left_input=1311, right_input=1872, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2622","layer":1},{"info":"number node, value=1486","layer":2},{"info":"number node, value=1126","layer":2},{"info":"compute binary expreesion, left_input=1486, right_input=1126, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-360","layer":1},{"info":"compute binary expreesion, left_input=2622, right_input=-360, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=5317","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲5C6⊉≛↸⫶⩼⫲84C)⋳⪒(⫶⩼⫲691⇼⇔∾⫶⩼⫲501)=⫶⩼⫲1897","reverse_text":"⫶⩼⫲1897=(⫶⩼⫲5C6⊉≛↸⫶⩼⫲84C)⋳⪒(⫶⩼⫲691⇼⇔∾⫶⩼⫲501)","cot":[{"info":"⫶⩼⫲5C6⊉≛↸⫶⩼⫲84C=⫶⩼⫲B9C","layer":1},{"info":"⫶⩼⫲691⇼⇔∾⫶⩼⫲501=⫶⩼⫲-190","layer":1},{"info":"⫶⩼⫲B9C⋳⪒⫶⩼⫲-190=⫶⩼⫲1897","layer":0}]}
{"id":582,"expression_no_base_symbol":"($3584$⋫)⋫","expression":"(⫶⩼⫲10DE⋫)⋫","highest_n_order":3,"priority_hierarchical_complexity":1,"normalized_expansion_degree":7168,"operation_count":2,"complexity_ratio":3584.0,"tree":{"type":"unary","operator":"⋫","unary_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":3584,"base":15}}},"used_operators":["JL8yIekQnl"],"dependent_operators":["tmPS8pqC7x"],"result":"⫶⩼⫲10DE","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=3584","layer":2},{"info":"compute unary expreesion, input=3584, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=3584","layer":1},{"info":"compute unary expreesion, input=3584, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=3584","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲10DE⋫)⋫=⫶⩼⫲10DE","reverse_text":"⫶⩼⫲10DE=(⫶⩼⫲10DE⋫)⋫","cot":[{"info":"⫶⩼⫲10DE⋫=⫶⩼⫲10DE","layer":1},{"info":"⫶⩼⫲10DE⋫=⫶⩼⫲10DE","layer":0}]}
{"id":583,"expression_no_base_symbol":"$2948$⨓$2570$≎⊠⪸$2272$⨓$3135$","expression":"⫶⩼⫲D18⨓⫶⩼⫲B65≎⊠⪸⫶⩼⫲A17⨓⫶⩼⫲DE0","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5728,"operation_count":3,"complexity_ratio":1909.3333333333333,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2948,"base":15},"right_expr":{"type":"numeric_atoms","value":2570,"base":15}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2272,"base":15},"right_expr":{"type":"numeric_atoms","value":3135,"base":15}}},"used_operators":["bJkvcejdHO","3ViojmjbAp"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"⫶⩼⫲47","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2948","layer":2},{"info":"number node, value=2570","layer":2},{"info":"compute binary expreesion, left_input=2948, right_input=2570, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2573","layer":1},{"info":"number node, value=2272","layer":2},{"info":"number node, value=3135","layer":2},{"info":"compute binary expreesion, left_input=2272, right_input=3135, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3138","layer":1},{"info":"compute binary expreesion, left_input=-2573, right_input=-3138, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲D18⨓⫶⩼⫲B65≎⊠⪸⫶⩼⫲A17⨓⫶⩼⫲DE0=⫶⩼⫲47","reverse_text":"⫶⩼⫲47=⫶⩼⫲D18⨓⫶⩼⫲B65≎⊠⪸⫶⩼⫲A17⨓⫶⩼⫲DE0","cot":[{"info":"⫶⩼⫲D18⨓⫶⩼⫲B65=⫶⩼⫲-B68","layer":1},{"info":"⫶⩼⫲A17⨓⫶⩼⫲DE0=⫶⩼⫲-DE3","layer":1},{"info":"⫶⩼⫲-B68≎⊠⪸⫶⩼⫲-DE3=⫶⩼⫲47","layer":0}]}
{"id":584,"expression_no_base_symbol":"⩦⩻⨪$2312$⨰$6321$","expression":"⩦⩻⨪⫶⩼⫲A42⨰⫶⩼⫲1D16","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":9,"operation_count":2,"complexity_ratio":4.5,"tree":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2312,"base":15},"right_expr":{"type":"numeric_atoms","value":6321,"base":15}}},"used_operators":["2td37pGCOC","eewbuw0ToL"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫶⩼⫲-12B9","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2312","layer":2},{"info":"number node, value=6321","layer":2},{"info":"compute binary expreesion, left_input=2312, right_input=6321, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-3999","layer":1},{"info":"compute unary expreesion, input=-3999, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=-3999","layer":0}],"base":15,"result_base":15,"text":"⩦⩻⨪⫶⩼⫲A42⨰⫶⩼⫲1D16=⫶⩼⫲-12B9","reverse_text":"⫶⩼⫲-12B9=⩦⩻⨪⫶⩼⫲A42⨰⫶⩼⫲1D16","cot":[{"info":"⫶⩼⫲A42⨰⫶⩼⫲1D16=⫶⩼⫲-12B9","layer":1},{"info":"⩦⩻⨪⫶⩼⫲-12B9=⫶⩼⫲-12B9","layer":0}]}
{"id":585,"expression_no_base_symbol":"(⊄⩳↩$3252$)∲⫓$1252$↺$1471$","expression":"(⊄⩳↩⫶⩼⫲E6C)∲⫓⫶⩼⫲587↺⫶⩼⫲681","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7,"operation_count":3,"complexity_ratio":2.3333333333333335,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":3252,"base":15}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1252,"base":15},"right_expr":{"type":"numeric_atoms","value":1471,"base":15}}},"used_operators":["i8ToyICDmI","8w2t5hMYqp","7j4O788W3g"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⫶⩼⫲0","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=3252","layer":2},{"info":"compute unary expreesion, input=3252, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-9756","layer":1},{"info":"number node, value=1252","layer":2},{"info":"number node, value=1471","layer":2},{"info":"compute binary expreesion, left_input=1252, right_input=1471, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1471","layer":1},{"info":"compute binary expreesion, left_input=-9756, right_input=1471, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":0}],"base":15,"result_base":15,"text":"(⊄⩳↩⫶⩼⫲E6C)∲⫓⫶⩼⫲587↺⫶⩼⫲681=⫶⩼⫲0","reverse_text":"⫶⩼⫲0=(⊄⩳↩⫶⩼⫲E6C)∲⫓⫶⩼⫲587↺⫶⩼⫲681","cot":[{"info":"⊄⩳↩⫶⩼⫲E6C=⫶⩼⫲-2D56","layer":1},{"info":"⫶⩼⫲587↺⫶⩼⫲681=⫶⩼⫲681","layer":1},{"info":"⫶⩼⫲-2D56∲⫓⫶⩼⫲681=⫶⩼⫲0","layer":0}]}
{"id":586,"expression_no_base_symbol":"⪝⪂⫅($3379$⫌⩹⨱)","expression":"⪝⪂⫅(⫶⩼⫲1004⫌⩹⨱)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":157,"operation_count":2,"complexity_ratio":78.5,"tree":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":3379,"base":15}}},"used_operators":["XTarYq4gQB","EBcxylXtPf"],"dependent_operators":["9HNa5Wba9A","8w2t5hMYqp","W4YGzv6Whe","rysDP5nf3Z"],"result":"⫶⩼⫲-18A583","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=3379","layer":2},{"info":"compute unary expreesion, input=3379, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=8159","layer":1},{"info":"compute unary expreesion, input=8159, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-1199373","layer":0}],"base":15,"result_base":15,"text":"⪝⪂⫅(⫶⩼⫲1004⫌⩹⨱)=⫶⩼⫲-18A583","reverse_text":"⫶⩼⫲-18A583=⪝⪂⫅(⫶⩼⫲1004⫌⩹⨱)","cot":[{"info":"⫶⩼⫲1004⫌⩹⨱=⫶⩼⫲263E","layer":1},{"info":"⪝⪂⫅⫶⩼⫲263E=⫶⩼⫲-18A583","layer":0}]}
{"id":587,"expression_no_base_symbol":"(⫓⪴$3520$)⊭↱(⨵≀≌$5758$)","expression":"(⫓⪴⫶⩼⫲109A)⊭↱(⨵≀≌⫶⩼⫲1A8D)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3529,"operation_count":3,"complexity_ratio":1176.3333333333333,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":3520,"base":15}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":5758,"base":15}}},"used_operators":["COABgblf1C","eLxqMNBOBk","srAu1WTS94"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A"],"result":"⫶⩼⫲-22A2A63","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=3520","layer":2},{"info":"compute unary expreesion, input=3520, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=12390400","layer":1},{"info":"number node, value=5758","layer":2},{"info":"compute unary expreesion, input=5758, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-17274","layer":1},{"info":"compute binary expreesion, left_input=12390400, right_input=-17274, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-24815343","layer":0}],"base":15,"result_base":15,"text":"(⫓⪴⫶⩼⫲109A)⊭↱(⨵≀≌⫶⩼⫲1A8D)=⫶⩼⫲-22A2A63","reverse_text":"⫶⩼⫲-22A2A63=(⫓⪴⫶⩼⫲109A)⊭↱(⨵≀≌⫶⩼⫲1A8D)","cot":[{"info":"⫓⪴⫶⩼⫲109A=⫶⩼⫲114B36A","layer":1},{"info":"⨵≀≌⫶⩼⫲1A8D=⫶⩼⫲-51B9","layer":1},{"info":"⫶⩼⫲114B36A⊭↱⫶⩼⫲-51B9=⫶⩼⫲-22A2A63","layer":0}]}
{"id":588,"expression_no_base_symbol":"≦∁$1704$-$1759$","expression":"≦∁⫶⩼⫲789-⫶⩼⫲7C4","highest_n_order":2,"priority_hierarchical_complexity":1,"normalized_expansion_degree":26,"operation_count":2,"complexity_ratio":13.0,"tree":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1704,"base":15},"right_expr":{"type":"numeric_atoms","value":1759,"base":15}}},"used_operators":["9ICcGScMcE","rysDP5nf3Z"],"dependent_operators":["XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"⫶⩼⫲47","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1704","layer":2},{"info":"number node, value=1759","layer":2},{"info":"compute binary expreesion, left_input=1704, right_input=1759, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-55","layer":1},{"info":"compute unary expreesion, input=-55, 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":15,"result_base":15,"text":"≦∁⫶⩼⫲789-⫶⩼⫲7C4=⫶⩼⫲47","reverse_text":"⫶⩼⫲47=≦∁⫶⩼⫲789-⫶⩼⫲7C4","cot":[{"info":"⫶⩼⫲789-⫶⩼⫲7C4=⫶⩼⫲-3A","layer":1},{"info":"≦∁⫶⩼⫲-3A=⫶⩼⫲47","layer":0}]}
{"id":589,"expression_no_base_symbol":"$2369$+$7339$⨵⪆$2487$⊭↱$2187$","expression":"⫶⩼⫲A7E+⫶⩼⫲2294⨵⪆⫶⩼⫲B0C⊭↱⫶⩼⫲9AC","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":8,"operation_count":3,"complexity_ratio":2.6666666666666665,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2369,"base":15},"right_expr":{"type":"numeric_atoms","value":7339,"base":15}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":2487,"base":15},"right_expr":{"type":"numeric_atoms","value":2187,"base":15}}},"used_operators":["2DQ55sFlQl","W4YGzv6Whe","COABgblf1C"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⫶⩼⫲AA","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2369","layer":2},{"info":"number node, value=7339","layer":2},{"info":"compute binary expreesion, left_input=2369, right_input=7339, op_id = W4YGzv6Whe binary_op_definition= 'None', output=9708","layer":1},{"info":"number node, value=2487","layer":2},{"info":"number node, value=2187","layer":2},{"info":"compute binary expreesion, left_input=2487, right_input=2187, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-595","layer":1},{"info":"compute binary expreesion, left_input=9708, right_input=-595, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲A7E+⫶⩼⫲2294⨵⪆⫶⩼⫲B0C⊭↱⫶⩼⫲9AC=⫶⩼⫲AA","reverse_text":"⫶⩼⫲AA=⫶⩼⫲A7E+⫶⩼⫲2294⨵⪆⫶⩼⫲B0C⊭↱⫶⩼⫲9AC","cot":[{"info":"⫶⩼⫲A7E+⫶⩼⫲2294=⫶⩼⫲2D23","layer":1},{"info":"⫶⩼⫲B0C⊭↱⫶⩼⫲9AC=⫶⩼⫲-29A","layer":1},{"info":"⫶⩼⫲2D23⨵⪆⫶⩼⫲-29A=⫶⩼⫲AA","layer":0}]}
{"id":590,"expression_no_base_symbol":"⫛⫱⨽($2660$⨳⩥⨓$1822$)","expression":"⫛⫱⨽(⫶⩼⫲BC5⨳⩥⨓⫶⩼⫲817)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1425,"operation_count":2,"complexity_ratio":712.5,"tree":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2660,"base":15},"right_expr":{"type":"numeric_atoms","value":1822,"base":15}}},"used_operators":["DlLNRPXxWL","nCS4ZIUYfx"],"dependent_operators":["rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z"],"result":"⫶⩼⫲0","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2660","layer":2},{"info":"number node, value=1822","layer":2},{"info":"compute binary expreesion, left_input=2660, right_input=1822, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-838","layer":1},{"info":"compute unary expreesion, input=-838, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":0}],"base":15,"result_base":15,"text":"⫛⫱⨽(⫶⩼⫲BC5⨳⩥⨓⫶⩼⫲817)=⫶⩼⫲0","reverse_text":"⫶⩼⫲0=⫛⫱⨽(⫶⩼⫲BC5⨳⩥⨓⫶⩼⫲817)","cot":[{"info":"⫶⩼⫲BC5⨳⩥⨓⫶⩼⫲817=⫶⩼⫲-3AD","layer":1},{"info":"⫛⫱⨽⫶⩼⫲-3AD=⫶⩼⫲0","layer":0}]}
{"id":591,"expression_no_base_symbol":"⨰⫟⨤($7488$⋓$5601$)","expression":"⨰⫟⨤(⫶⩼⫲2343⋓⫶⩼⫲19D6)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":907,"operation_count":2,"complexity_ratio":453.5,"tree":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":7488,"base":15},"right_expr":{"type":"numeric_atoms","value":5601,"base":15}}},"used_operators":["Tw270M8GLb","T2fj7uvVaJ"],"dependent_operators":["sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"⫶⩼⫲5DB25C","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=7488","layer":2},{"info":"number node, value=5601","layer":2},{"info":"compute binary expreesion, left_input=7488, right_input=5601, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=4492662","layer":0}],"base":15,"result_base":15,"text":"⨰⫟⨤(⫶⩼⫲2343⋓⫶⩼⫲19D6)=⫶⩼⫲5DB25C","reverse_text":"⫶⩼⫲5DB25C=⨰⫟⨤(⫶⩼⫲2343⋓⫶⩼⫲19D6)","cot":[{"info":"⫶⩼⫲2343⋓⫶⩼⫲19D6=⫶⩼⫲0","layer":1},{"info":"⨰⫟⨤⫶⩼⫲0=⫶⩼⫲5DB25C","layer":0}]}
{"id":592,"expression_no_base_symbol":"(⨵≀≌$1314$)-$4991$-$4530$","expression":"(⨵≀≌⫶⩼⫲5C9)-⫶⩼⫲172B-⫶⩼⫲1520","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5,"operation_count":3,"complexity_ratio":1.6666666666666667,"tree":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1314,"base":15}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":4991,"base":15},"right_expr":{"type":"numeric_atoms","value":4530,"base":15}}},"used_operators":["rysDP5nf3Z","srAu1WTS94"],"dependent_operators":["glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A"],"result":"⫶⩼⫲-1488","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1314","layer":2},{"info":"compute unary expreesion, input=1314, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-3942","layer":1},{"info":"number node, value=4991","layer":2},{"info":"number node, value=4530","layer":2},{"info":"compute binary expreesion, left_input=4991, right_input=4530, op_id = rysDP5nf3Z binary_op_definition= 'None', output=461","layer":1},{"info":"compute binary expreesion, left_input=-3942, right_input=461, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-4403","layer":0}],"base":15,"result_base":15,"text":"(⨵≀≌⫶⩼⫲5C9)-⫶⩼⫲172B-⫶⩼⫲1520=⫶⩼⫲-1488","reverse_text":"⫶⩼⫲-1488=(⨵≀≌⫶⩼⫲5C9)-⫶⩼⫲172B-⫶⩼⫲1520","cot":[{"info":"⨵≀≌⫶⩼⫲5C9=⫶⩼⫲-127C","layer":1},{"info":"⫶⩼⫲172B-⫶⩼⫲1520=⫶⩼⫲20B","layer":1},{"info":"⫶⩼⫲-127C-⫶⩼⫲20B=⫶⩼⫲-1488","layer":0}]}
{"id":593,"expression_no_base_symbol":"($2732$⪒$1625$)≹⇙⪍($2126$⫥∨⫟$3412$)","expression":"(⫶⩼⫲C22⪒⫶⩼⫲735)≹⇙⪍(⫶⩼⫲96B⫥∨⫟⫶⩼⫲1027)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":158,"operation_count":3,"complexity_ratio":52.666666666666664,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2732,"base":15},"right_expr":{"type":"numeric_atoms","value":1625,"base":15}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2126,"base":15},"right_expr":{"type":"numeric_atoms","value":3412,"base":15}}},"used_operators":["AHs5Up7iyr","f6k1SAg4EE","KYD54nUTWz"],"dependent_operators":["dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2732","layer":2},{"info":"number node, value=1625","layer":2},{"info":"compute binary expreesion, left_input=2732, right_input=1625, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4357","layer":1},{"info":"number node, value=2126","layer":2},{"info":"number node, value=3412","layer":2},{"info":"compute binary expreesion, left_input=2126, right_input=3412, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-4357, 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":15,"result_base":15,"text":"(⫶⩼⫲C22⪒⫶⩼⫲735)≹⇙⪍(⫶⩼⫲96B⫥∨⫟⫶⩼⫲1027)=NaN","reverse_text":"NaN=(⫶⩼⫲C22⪒⫶⩼⫲735)≹⇙⪍(⫶⩼⫲96B⫥∨⫟⫶⩼⫲1027)","cot":[{"info":"⫶⩼⫲C22⪒⫶⩼⫲735=⫶⩼⫲-1457","layer":1},{"info":"⫶⩼⫲96B⫥∨⫟⫶⩼⫲1027=NaN","layer":1},{"info":"⫶⩼⫲-1457≹⇙⪍NaN=NaN","layer":0}]}
{"id":594,"expression_no_base_symbol":"($2092$∧)⇋≉","expression":"(⫶⩼⫲947∧)⇋≉","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":9,"operation_count":2,"complexity_ratio":4.5,"tree":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":2092,"base":15}}},"used_operators":["XIabStNQrY","z63VuFQld9"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=2092","layer":2},{"info":"compute unary expreesion, input=2092, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲947∧)⇋≉=NaN","reverse_text":"NaN=(⫶⩼⫲947∧)⇋≉","cot":[{"info":"⫶⩼⫲947∧=NaN","layer":1},{"info":"NaN⇋≉=NaN","layer":0}]}
{"id":595,"expression_no_base_symbol":"↔($2919$↺$1084$)","expression":"↔(⫶⩼⫲CE9↺⫶⩼⫲4C4)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":9,"operation_count":2,"complexity_ratio":4.5,"tree":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2919,"base":15},"right_expr":{"type":"numeric_atoms","value":1084,"base":15}}},"used_operators":["ruOEQAzv1W","7j4O788W3g"],"dependent_operators":["XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd"],"result":"⫶⩼⫲-391","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2919","layer":2},{"info":"number node, value=1084","layer":2},{"info":"compute binary expreesion, left_input=2919, right_input=1084, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1084","layer":1},{"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":0}],"base":15,"result_base":15,"text":"↔(⫶⩼⫲CE9↺⫶⩼⫲4C4)=⫶⩼⫲-391","reverse_text":"⫶⩼⫲-391=↔(⫶⩼⫲CE9↺⫶⩼⫲4C4)","cot":[{"info":"⫶⩼⫲CE9↺⫶⩼⫲4C4=⫶⩼⫲4C4","layer":1},{"info":"↔⫶⩼⫲4C4=⫶⩼⫲-391","layer":0}]}
{"id":596,"expression_no_base_symbol":"($1598$⫥∨⫟$5245$)⪘⫢(⪝⪂⫅$1004$)","expression":"(⫶⩼⫲718⫥∨⫟⫶⩼⫲184A)⪘⫢(⪝⪂⫅⫶⩼⫲46E)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":313,"operation_count":3,"complexity_ratio":104.33333333333333,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1598,"base":15},"right_expr":{"type":"numeric_atoms","value":5245,"base":15}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":1004,"base":15}}},"used_operators":["oacrs7FA3X","KYD54nUTWz","XTarYq4gQB"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","8HhzD0ZcuI","rGHVDoGpnC","9HNa5Wba9A","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1598","layer":2},{"info":"number node, value=5245","layer":2},{"info":"compute binary expreesion, left_input=1598, right_input=5245, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=1004","layer":2},{"info":"compute unary expreesion, input=1004, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-147588","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-147588, 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":15,"result_base":15,"text":"(⫶⩼⫲718⫥∨⫟⫶⩼⫲184A)⪘⫢(⪝⪂⫅⫶⩼⫲46E)=NaN","reverse_text":"NaN=(⫶⩼⫲718⫥∨⫟⫶⩼⫲184A)⪘⫢(⪝⪂⫅⫶⩼⫲46E)","cot":[{"info":"⫶⩼⫲718⫥∨⫟⫶⩼⫲184A=NaN","layer":1},{"info":"⪝⪂⫅⫶⩼⫲46E=⫶⩼⫲-2DAE3","layer":1},{"info":"NaN⪘⫢⫶⩼⫲-2DAE3=NaN","layer":0}]}
{"id":597,"expression_no_base_symbol":"($5296$⊠≄⫣)⨵⪆$1257$⨸⪁$1442$","expression":"(⫶⩼⫲1881⊠≄⫣)⨵⪆⫶⩼⫲58C⨸⪁⫶⩼⫲662","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7,"operation_count":3,"complexity_ratio":2.3333333333333335,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":5296,"base":15}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1257,"base":15},"right_expr":{"type":"numeric_atoms","value":1442,"base":15}}},"used_operators":["2DQ55sFlQl","DIvbN7qnHd","g55IO6H4Gj"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"⫶⩼⫲AA","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=5296","layer":2},{"info":"compute unary expreesion, input=5296, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":1},{"info":"number node, value=1257","layer":2},{"info":"number node, value=1442","layer":2},{"info":"compute binary expreesion, left_input=1257, right_input=1442, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=5398","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=5398, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲1881⊠≄⫣)⨵⪆⫶⩼⫲58C⨸⪁⫶⩼⫲662=⫶⩼⫲AA","reverse_text":"⫶⩼⫲AA=(⫶⩼⫲1881⊠≄⫣)⨵⪆⫶⩼⫲58C⨸⪁⫶⩼⫲662","cot":[{"info":"⫶⩼⫲1881⊠≄⫣=⫶⩼⫲0","layer":1},{"info":"⫶⩼⫲58C⨸⪁⫶⩼⫲662=⫶⩼⫲18ED","layer":1},{"info":"⫶⩼⫲0⨵⪆⫶⩼⫲18ED=⫶⩼⫲AA","layer":0}]}
{"id":598,"expression_no_base_symbol":"($3757$⋫)⪘⫢($1609$%$5469$)","expression":"(⫶⩼⫲11A7⋫)⪘⫢(⫶⩼⫲724%⫶⩼⫲1949)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3773,"operation_count":3,"complexity_ratio":1257.6666666666667,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":3757,"base":15}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1609,"base":15},"right_expr":{"type":"numeric_atoms","value":5469,"base":15}}},"used_operators":["oacrs7FA3X","JL8yIekQnl","k8jYdgA6NY"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","tmPS8pqC7x","rysDP5nf3Z"],"result":"⫶⩼⫲22CA","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=3757","layer":2},{"info":"compute unary expreesion, input=3757, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=3757","layer":1},{"info":"number node, value=1609","layer":2},{"info":"number node, value=5469","layer":2},{"info":"compute binary expreesion, left_input=1609, right_input=5469, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1609","layer":1},{"info":"compute binary expreesion, left_input=3757, right_input=1609, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=7390","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲11A7⋫)⪘⫢(⫶⩼⫲724%⫶⩼⫲1949)=⫶⩼⫲22CA","reverse_text":"⫶⩼⫲22CA=(⫶⩼⫲11A7⋫)⪘⫢(⫶⩼⫲724%⫶⩼⫲1949)","cot":[{"info":"⫶⩼⫲11A7⋫=⫶⩼⫲11A7","layer":1},{"info":"⫶⩼⫲724%⫶⩼⫲1949=⫶⩼⫲724","layer":1},{"info":"⫶⩼⫲11A7⪘⫢⫶⩼⫲724=⫶⩼⫲22CA","layer":0}]}
{"id":599,"expression_no_base_symbol":"($5376$⊉≛↸$1593$)⫸⊐$1915$⫸⊐$1769$","expression":"(⫶⩼⫲18D6⊉≛↸⫶⩼⫲713)⫸⊐⫶⩼⫲87A⫸⊐⫶⩼⫲7CE","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":50,"operation_count":3,"complexity_ratio":16.666666666666668,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":5376,"base":15},"right_expr":{"type":"numeric_atoms","value":1593,"base":15}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1915,"base":15},"right_expr":{"type":"numeric_atoms","value":1769,"base":15}}},"used_operators":["mqXw5SEYmG","DZ8iAZOCBD"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫶⩼⫲8304","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=5376","layer":2},{"info":"number node, value=1593","layer":2},{"info":"compute binary expreesion, left_input=5376, right_input=1593, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=10752","layer":1},{"info":"number node, value=1915","layer":2},{"info":"number node, value=1769","layer":2},{"info":"compute binary expreesion, left_input=1915, right_input=1769, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=6951","layer":1},{"info":"compute binary expreesion, left_input=10752, right_input=6951, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=27679","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲18D6⊉≛↸⫶⩼⫲713)⫸⊐⫶⩼⫲87A⫸⊐⫶⩼⫲7CE=⫶⩼⫲8304","reverse_text":"⫶⩼⫲8304=(⫶⩼⫲18D6⊉≛↸⫶⩼⫲713)⫸⊐⫶⩼⫲87A⫸⊐⫶⩼⫲7CE","cot":[{"info":"⫶⩼⫲18D6⊉≛↸⫶⩼⫲713=⫶⩼⫲32BC","layer":1},{"info":"⫶⩼⫲87A⫸⊐⫶⩼⫲7CE=⫶⩼⫲20D6","layer":1},{"info":"⫶⩼⫲32BC⫸⊐⫶⩼⫲20D6=⫶⩼⫲8304","layer":0}]}
{"id":600,"expression_no_base_symbol":"$1446$≎⊠⪸$4809$⨐⩸⫘$5388$⋳⪒$6653$","expression":"⫶⩼⫲666≎⊠⪸⫶⩼⫲1659⨐⩸⫘⫶⩼⫲18E3⋳⪒⫶⩼⫲1E88","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":278,"operation_count":3,"complexity_ratio":92.66666666666667,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1446,"base":15},"right_expr":{"type":"numeric_atoms","value":4809,"base":15}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":5388,"base":15},"right_expr":{"type":"numeric_atoms","value":6653,"base":15}}},"used_operators":["fu6greOZ01","bJkvcejdHO","12rbrZMWeM"],"dependent_operators":["3ViojmjbAp","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1446","layer":2},{"info":"number node, value=4809","layer":2},{"info":"compute binary expreesion, left_input=1446, right_input=4809, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=374041","layer":1},{"info":"number node, value=5388","layer":2},{"info":"number node, value=6653","layer":2},{"info":"compute binary expreesion, left_input=5388, right_input=6653, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=3836","layer":1},{"info":"compute binary expreesion, left_input=374041, right_input=3836, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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":15,"result_base":15,"text":"⫶⩼⫲666≎⊠⪸⫶⩼⫲1659⨐⩸⫘⫶⩼⫲18E3⋳⪒⫶⩼⫲1E88=NaN","reverse_text":"NaN=⫶⩼⫲666≎⊠⪸⫶⩼⫲1659⨐⩸⫘⫶⩼⫲18E3⋳⪒⫶⩼⫲1E88","cot":[{"info":"⫶⩼⫲666≎⊠⪸⫶⩼⫲1659=⫶⩼⫲75C61","layer":1},{"info":"⫶⩼⫲18E3⋳⪒⫶⩼⫲1E88=⫶⩼⫲120B","layer":1},{"info":"⫶⩼⫲75C61⨐⩸⫘⫶⩼⫲120B=NaN","layer":0}]}
{"id":601,"expression_no_base_symbol":"⨑⩽⪐($4181$⪄$5087$)","expression":"⨑⩽⪐(⫶⩼⫲138B⪄⫶⩼⫲1792)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":102,"operation_count":2,"complexity_ratio":51.0,"tree":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":4181,"base":15},"right_expr":{"type":"numeric_atoms","value":5087,"base":15}}},"used_operators":["AF7qkfDlqP","SUmda5xLS4"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"⫶⩼⫲1A19E4","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=4181","layer":2},{"info":"number node, value=5087","layer":2},{"info":"compute binary expreesion, left_input=4181, right_input=5087, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-635225","layer":1},{"info":"compute unary expreesion, input=-635225, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=1271239","layer":0}],"base":15,"result_base":15,"text":"⨑⩽⪐(⫶⩼⫲138B⪄⫶⩼⫲1792)=⫶⩼⫲1A19E4","reverse_text":"⫶⩼⫲1A19E4=⨑⩽⪐(⫶⩼⫲138B⪄⫶⩼⫲1792)","cot":[{"info":"⫶⩼⫲138B⪄⫶⩼⫲1792=⫶⩼⫲-C8335","layer":1},{"info":"⨑⩽⪐⫶⩼⫲-C8335=⫶⩼⫲1A19E4","layer":0}]}
{"id":602,"expression_no_base_symbol":"≤/($5491$/$2671$)","expression":"≤/(⫶⩼⫲1961/⫶⩼⫲BD1)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3,"operation_count":2,"complexity_ratio":1.5,"tree":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":5491,"base":15},"right_expr":{"type":"numeric_atoms","value":2671,"base":15}}},"used_operators":["eLAdDNolq6","XhwjNDsVaA"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z"],"result":"⫶⩼⫲222","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=5491","layer":2},{"info":"number node, value=2671","layer":2},{"info":"compute binary expreesion, left_input=5491, right_input=2671, op_id = XhwjNDsVaA binary_op_definition= 'None', output=2","layer":1},{"info":"compute unary expreesion, input=2, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=482","layer":0}],"base":15,"result_base":15,"text":"≤/(⫶⩼⫲1961/⫶⩼⫲BD1)=⫶⩼⫲222","reverse_text":"⫶⩼⫲222=≤/(⫶⩼⫲1961/⫶⩼⫲BD1)","cot":[{"info":"⫶⩼⫲1961/⫶⩼⫲BD1=⫶⩼⫲2","layer":1},{"info":"≤/⫶⩼⫲2=⫶⩼⫲222","layer":0}]}
{"id":603,"expression_no_base_symbol":"($6476$+$4531$)↺($4656$↺$5720$)","expression":"(⫶⩼⫲1DBB+⫶⩼⫲1521)↺(⫶⩼⫲15A6↺⫶⩼⫲1A65)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5,"operation_count":3,"complexity_ratio":1.6666666666666667,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":6476,"base":15},"right_expr":{"type":"numeric_atoms","value":4531,"base":15}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":4656,"base":15},"right_expr":{"type":"numeric_atoms","value":5720,"base":15}}},"used_operators":["7j4O788W3g","W4YGzv6Whe"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd"],"result":"⫶⩼⫲1A65","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=6476","layer":2},{"info":"number node, value=4531","layer":2},{"info":"compute binary expreesion, left_input=6476, right_input=4531, op_id = W4YGzv6Whe binary_op_definition= 'None', output=11007","layer":1},{"info":"number node, value=4656","layer":2},{"info":"number node, value=5720","layer":2},{"info":"compute binary expreesion, left_input=4656, right_input=5720, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=5720","layer":1},{"info":"compute binary expreesion, left_input=11007, right_input=5720, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=5720","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲1DBB+⫶⩼⫲1521)↺(⫶⩼⫲15A6↺⫶⩼⫲1A65)=⫶⩼⫲1A65","reverse_text":"⫶⩼⫲1A65=(⫶⩼⫲1DBB+⫶⩼⫲1521)↺(⫶⩼⫲15A6↺⫶⩼⫲1A65)","cot":[{"info":"⫶⩼⫲1DBB+⫶⩼⫲1521=⫶⩼⫲33DC","layer":1},{"info":"⫶⩼⫲15A6↺⫶⩼⫲1A65=⫶⩼⫲1A65","layer":1},{"info":"⫶⩼⫲33DC↺⫶⩼⫲1A65=⫶⩼⫲1A65","layer":0}]}
{"id":604,"expression_no_base_symbol":"(-$1890$)⪠⩆⊳","expression":"(-⫶⩼⫲860)⪠⩆⊳","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":7,"operation_count":2,"complexity_ratio":3.5,"tree":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1890,"base":15}}},"used_operators":["JLbD19bQDL","t8gj7n24qd"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫶⩼⫲0","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1890","layer":2},{"info":"compute unary expreesion, input=1890, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1890","layer":1},{"info":"compute unary expreesion, input=-1890, 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":15,"result_base":15,"text":"(-⫶⩼⫲860)⪠⩆⊳=⫶⩼⫲0","reverse_text":"⫶⩼⫲0=(-⫶⩼⫲860)⪠⩆⊳","cot":[{"info":"-⫶⩼⫲860=⫶⩼⫲-860","layer":1},{"info":"⫶⩼⫲-860⪠⩆⊳=⫶⩼⫲0","layer":0}]}
{"id":605,"expression_no_base_symbol":"↥$2273$⪮%⊝$2661$","expression":"↥⫶⩼⫲A18⪮%⊝⫶⩼⫲BC6","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":104,"operation_count":2,"complexity_ratio":52.0,"tree":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2273,"base":15},"right_expr":{"type":"numeric_atoms","value":2661,"base":15}}},"used_operators":["A8NUZmVepG","IWmyXbctLI"],"dependent_operators":["k8jYdgA6NY","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"⫶⩼⫲12","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2273","layer":2},{"info":"number node, value=2661","layer":2},{"info":"compute binary expreesion, left_input=2273, right_input=2661, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=4862","layer":1},{"info":"compute unary expreesion, input=4862, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=17","layer":0}],"base":15,"result_base":15,"text":"↥⫶⩼⫲A18⪮%⊝⫶⩼⫲BC6=⫶⩼⫲12","reverse_text":"⫶⩼⫲12=↥⫶⩼⫲A18⪮%⊝⫶⩼⫲BC6","cot":[{"info":"⫶⩼⫲A18⪮%⊝⫶⩼⫲BC6=⫶⩼⫲1692","layer":1},{"info":"↥⫶⩼⫲1692=⫶⩼⫲12","layer":0}]}
{"id":606,"expression_no_base_symbol":"($1132$⨳⩥⨓$5867$)+⇶⊼($1655$⊉≛↸$4161$)","expression":"(⫶⩼⫲507⨳⩥⨓⫶⩼⫲1B12)+⇶⊼(⫶⩼⫲755⊉≛↸⫶⩼⫲1376)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6,"operation_count":3,"complexity_ratio":2.0,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1132,"base":15},"right_expr":{"type":"numeric_atoms","value":5867,"base":15}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1655,"base":15},"right_expr":{"type":"numeric_atoms","value":4161,"base":15}}},"used_operators":["TpPTUOHfaN","nCS4ZIUYfx","DZ8iAZOCBD"],"dependent_operators":["AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1132","layer":2},{"info":"number node, value=5867","layer":2},{"info":"compute binary expreesion, left_input=1132, right_input=5867, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=4735","layer":1},{"info":"number node, value=1655","layer":2},{"info":"number node, value=4161","layer":2},{"info":"compute binary expreesion, left_input=1655, right_input=4161, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3310","layer":1},{"info":"compute binary expreesion, left_input=4735, right_input=3310, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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":15,"result_base":15,"text":"(⫶⩼⫲507⨳⩥⨓⫶⩼⫲1B12)+⇶⊼(⫶⩼⫲755⊉≛↸⫶⩼⫲1376)=NaN","reverse_text":"NaN=(⫶⩼⫲507⨳⩥⨓⫶⩼⫲1B12)+⇶⊼(⫶⩼⫲755⊉≛↸⫶⩼⫲1376)","cot":[{"info":"⫶⩼⫲507⨳⩥⨓⫶⩼⫲1B12=⫶⩼⫲160A","layer":1},{"info":"⫶⩼⫲755⊉≛↸⫶⩼⫲1376=⫶⩼⫲EAA","layer":1},{"info":"⫶⩼⫲160A+⇶⊼⫶⩼⫲EAA=NaN","layer":0}]}
{"id":607,"expression_no_base_symbol":"($1484$∲⫓$1074$)↺($2208$⪄$5886$)","expression":"(⫶⩼⫲68E∲⫓⫶⩼⫲4B9)↺(⫶⩼⫲9C3⪄⫶⩼⫲1B26)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":99,"operation_count":3,"complexity_ratio":33.0,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1484,"base":15},"right_expr":{"type":"numeric_atoms","value":1074,"base":15}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2208,"base":15},"right_expr":{"type":"numeric_atoms","value":5886,"base":15}}},"used_operators":["7j4O788W3g","i8ToyICDmI","SUmda5xLS4"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"⫶⩼⫲-6C997","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1484","layer":2},{"info":"number node, value=1074","layer":2},{"info":"compute binary expreesion, left_input=1484, right_input=1074, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":1},{"info":"number node, value=2208","layer":2},{"info":"number node, value=5886","layer":2},{"info":"compute binary expreesion, left_input=2208, right_input=5886, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-346417","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-346417, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-346417","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲68E∲⫓⫶⩼⫲4B9)↺(⫶⩼⫲9C3⪄⫶⩼⫲1B26)=⫶⩼⫲-6C997","reverse_text":"⫶⩼⫲-6C997=(⫶⩼⫲68E∲⫓⫶⩼⫲4B9)↺(⫶⩼⫲9C3⪄⫶⩼⫲1B26)","cot":[{"info":"⫶⩼⫲68E∲⫓⫶⩼⫲4B9=⫶⩼⫲0","layer":1},{"info":"⫶⩼⫲9C3⪄⫶⩼⫲1B26=⫶⩼⫲-6C997","layer":1},{"info":"⫶⩼⫲0↺⫶⩼⫲-6C997=⫶⩼⫲-6C997","layer":0}]}
{"id":608,"expression_no_base_symbol":"($1477$⨳⩥⨓$2527$)≎⊠⪸(↔$1068$)","expression":"(⫶⩼⫲687⨳⩥⨓⫶⩼⫲B37)≎⊠⪸(↔⫶⩼⫲4B3)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":21,"operation_count":3,"complexity_ratio":7.0,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1477,"base":15},"right_expr":{"type":"numeric_atoms","value":2527,"base":15}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":1068,"base":15}}},"used_operators":["bJkvcejdHO","nCS4ZIUYfx","ruOEQAzv1W"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp"],"result":"⫶⩼⫲47","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1477","layer":2},{"info":"number node, value=2527","layer":2},{"info":"compute binary expreesion, left_input=1477, right_input=2527, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=1050","layer":1},{"info":"number node, value=1068","layer":2},{"info":"compute unary expreesion, input=1068, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-795","layer":1},{"info":"compute binary expreesion, left_input=1050, right_input=-795, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲687⨳⩥⨓⫶⩼⫲B37)≎⊠⪸(↔⫶⩼⫲4B3)=⫶⩼⫲47","reverse_text":"⫶⩼⫲47=(⫶⩼⫲687⨳⩥⨓⫶⩼⫲B37)≎⊠⪸(↔⫶⩼⫲4B3)","cot":[{"info":"⫶⩼⫲687⨳⩥⨓⫶⩼⫲B37=⫶⩼⫲4A0","layer":1},{"info":"↔⫶⩼⫲4B3=⫶⩼⫲-380","layer":1},{"info":"⫶⩼⫲4A0≎⊠⪸⫶⩼⫲-380=⫶⩼⫲47","layer":0}]}
{"id":609,"expression_no_base_symbol":"$4885$⋥≓≎$3607$⫸⊐$1175$↬$2592$","expression":"⫶⩼⫲16AA⋥≓≎⫶⩼⫲1107⫸⊐⫶⩼⫲535↬⫶⩼⫲B7C","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":27,"operation_count":3,"complexity_ratio":9.0,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":4885,"base":15},"right_expr":{"type":"numeric_atoms","value":3607,"base":15}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1175,"base":15},"right_expr":{"type":"numeric_atoms","value":2592,"base":15}}},"used_operators":["mqXw5SEYmG","Qy55tPpLXF","B5M0gjZbta"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=4885","layer":2},{"info":"number node, value=3607","layer":2},{"info":"compute binary expreesion, left_input=4885, right_input=3607, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=2362","layer":1},{"info":"number node, value=1175","layer":2},{"info":"number node, value=2592","layer":2},{"info":"compute binary expreesion, left_input=1175, right_input=2592, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=2362, 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":15,"result_base":15,"text":"⫶⩼⫲16AA⋥≓≎⫶⩼⫲1107⫸⊐⫶⩼⫲535↬⫶⩼⫲B7C=NaN","reverse_text":"NaN=⫶⩼⫲16AA⋥≓≎⫶⩼⫲1107⫸⊐⫶⩼⫲535↬⫶⩼⫲B7C","cot":[{"info":"⫶⩼⫲16AA⋥≓≎⫶⩼⫲1107=⫶⩼⫲A77","layer":1},{"info":"⫶⩼⫲535↬⫶⩼⫲B7C=NaN","layer":1},{"info":"⫶⩼⫲A77⫸⊐NaN=NaN","layer":0}]}
{"id":610,"expression_no_base_symbol":"⪝⪂⫅$2170$⇷$1284$","expression":"⪝⪂⫅⫶⩼⫲99A⇷⫶⩼⫲5A9","highest_n_order":3,"priority_hierarchical_complexity":1,"normalized_expansion_degree":30536,"operation_count":2,"complexity_ratio":15268.0,"tree":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2170,"base":15},"right_expr":{"type":"numeric_atoms","value":1284,"base":15}}},"used_operators":["XTarYq4gQB","mp7IySMOzn"],"dependent_operators":["9HNa5Wba9A","8w2t5hMYqp","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"⫶⩼⫲-76CB6","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2170","layer":2},{"info":"number node, value=1284","layer":2},{"info":"compute binary expreesion, left_input=2170, right_input=1284, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2568","layer":1},{"info":"compute unary expreesion, input=2568, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-377496","layer":0}],"base":15,"result_base":15,"text":"⪝⪂⫅⫶⩼⫲99A⇷⫶⩼⫲5A9=⫶⩼⫲-76CB6","reverse_text":"⫶⩼⫲-76CB6=⪝⪂⫅⫶⩼⫲99A⇷⫶⩼⫲5A9","cot":[{"info":"⫶⩼⫲99A⇷⫶⩼⫲5A9=⫶⩼⫲B63","layer":1},{"info":"⪝⪂⫅⫶⩼⫲B63=⫶⩼⫲-76CB6","layer":0}]}
{"id":611,"expression_no_base_symbol":"⊄⩳↩$1276$⊴$1174$","expression":"⊄⩳↩⫶⩼⫲5A1⊴⫶⩼⫲534","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1762,"operation_count":2,"complexity_ratio":881.0,"tree":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1276,"base":15},"right_expr":{"type":"numeric_atoms","value":1174,"base":15}}},"used_operators":["8w2t5hMYqp","Nsiff2A1zJ"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1276","layer":2},{"info":"number node, value=1174","layer":2},{"info":"compute binary expreesion, left_input=1276, right_input=1174, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"⊄⩳↩⫶⩼⫲5A1⊴⫶⩼⫲534=NaN","reverse_text":"NaN=⊄⩳↩⫶⩼⫲5A1⊴⫶⩼⫲534","cot":[{"info":"⫶⩼⫲5A1⊴⫶⩼⫲534=NaN","layer":1},{"info":"⊄⩳↩NaN=NaN","layer":0}]}
{"id":612,"expression_no_base_symbol":"($1075$⨐⩸⫘$4935$)↬($1018$≎⊠⪸$3715$)","expression":"(⫶⩼⫲4BA⨐⩸⫘⫶⩼⫲16E0)↬(⫶⩼⫲47D≎⊠⪸⫶⩼⫲117A)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":272,"operation_count":3,"complexity_ratio":90.66666666666667,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1075,"base":15},"right_expr":{"type":"numeric_atoms","value":4935,"base":15}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1018,"base":15},"right_expr":{"type":"numeric_atoms","value":3715,"base":15}}},"used_operators":["B5M0gjZbta","fu6greOZ01","bJkvcejdHO"],"dependent_operators":["rGHVDoGpnC","3ViojmjbAp","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1075","layer":2},{"info":"number node, value=4935","layer":2},{"info":"compute binary expreesion, left_input=1075, right_input=4935, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=1018","layer":2},{"info":"number node, value=3715","layer":2},{"info":"compute binary expreesion, left_input=1018, right_input=3715, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=263189","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=263189, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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":15,"result_base":15,"text":"(⫶⩼⫲4BA⨐⩸⫘⫶⩼⫲16E0)↬(⫶⩼⫲47D≎⊠⪸⫶⩼⫲117A)=NaN","reverse_text":"NaN=(⫶⩼⫲4BA⨐⩸⫘⫶⩼⫲16E0)↬(⫶⩼⫲47D≎⊠⪸⫶⩼⫲117A)","cot":[{"info":"⫶⩼⫲4BA⨐⩸⫘⫶⩼⫲16E0=NaN","layer":1},{"info":"⫶⩼⫲47D≎⊠⪸⫶⩼⫲117A=⫶⩼⫲52EAE","layer":1},{"info":"NaN↬⫶⩼⫲52EAE=NaN","layer":0}]}
{"id":613,"expression_no_base_symbol":"($2185$⩷∴$5109$)⪛($3796$/$7173$)","expression":"(⫶⩼⫲9AA⩷∴⫶⩼⫲17A9)⪛(⫶⩼⫲11D1/⫶⩼⫲21D3)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":11,"operation_count":3,"complexity_ratio":3.6666666666666665,"tree":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2185,"base":15},"right_expr":{"type":"numeric_atoms","value":5109,"base":15}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":3796,"base":15},"right_expr":{"type":"numeric_atoms","value":7173,"base":15}}},"used_operators":["uFcxV4UQCh","9FxExcQeMw","XhwjNDsVaA"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2185","layer":2},{"info":"number node, value=5109","layer":2},{"info":"compute binary expreesion, left_input=2185, right_input=5109, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-5880","layer":1},{"info":"number node, value=3796","layer":2},{"info":"number node, value=7173","layer":2},{"info":"compute binary expreesion, left_input=3796, right_input=7173, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":1},{"info":"compute binary expreesion, left_input=-5880, right_input=0, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲9AA⩷∴⫶⩼⫲17A9)⪛(⫶⩼⫲11D1/⫶⩼⫲21D3)=NaN","reverse_text":"NaN=(⫶⩼⫲9AA⩷∴⫶⩼⫲17A9)⪛(⫶⩼⫲11D1/⫶⩼⫲21D3)","cot":[{"info":"⫶⩼⫲9AA⩷∴⫶⩼⫲17A9=⫶⩼⫲-1B20","layer":1},{"info":"⫶⩼⫲11D1/⫶⩼⫲21D3=⫶⩼⫲0","layer":1},{"info":"⫶⩼⫲-1B20⪛⫶⩼⫲0=NaN","layer":0}]}
{"id":614,"expression_no_base_symbol":"$8092$⋓$5641$≎⊠⪸(∥⊫$5089$)","expression":"⫶⩼⫲25E7⋓⫶⩼⫲1A11≎⊠⪸(∥⊫⫶⩼⫲1794)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":29,"operation_count":3,"complexity_ratio":9.666666666666666,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":8092,"base":15},"right_expr":{"type":"numeric_atoms","value":5641,"base":15}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":5089,"base":15}}},"used_operators":["bJkvcejdHO","T2fj7uvVaJ","P8v4zCKN1o"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd"],"result":"⫶⩼⫲-218","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=8092","layer":2},{"info":"number node, value=5641","layer":2},{"info":"compute binary expreesion, left_input=8092, right_input=5641, op_id = T2fj7uvVaJ binary_op_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=5089","layer":2},{"info":"compute unary expreesion, input=5089, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=5957","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=5957, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=-473","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲25E7⋓⫶⩼⫲1A11≎⊠⪸(∥⊫⫶⩼⫲1794)=⫶⩼⫲-218","reverse_text":"⫶⩼⫲-218=⫶⩼⫲25E7⋓⫶⩼⫲1A11≎⊠⪸(∥⊫⫶⩼⫲1794)","cot":[{"info":"⫶⩼⫲25E7⋓⫶⩼⫲1A11=⫶⩼⫲0","layer":1},{"info":"∥⊫⫶⩼⫲1794=⫶⩼⫲1B72","layer":1},{"info":"⫶⩼⫲0≎⊠⪸⫶⩼⫲1B72=⫶⩼⫲-218","layer":0}]}
{"id":615,"expression_no_base_symbol":"$1351$*$1246$/$1087$∑⇟⊟$1327$","expression":"⫶⩼⫲601*⫶⩼⫲581/⫶⩼⫲4C7∑⇟⊟⫶⩼⫲5D7","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1248,"operation_count":3,"complexity_ratio":416.0,"tree":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1351,"base":15},"right_expr":{"type":"numeric_atoms","value":1246,"base":15}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1087,"base":15},"right_expr":{"type":"numeric_atoms","value":1327,"base":15}}},"used_operators":["XhwjNDsVaA","9HNa5Wba9A","U7g4x0WXJJ"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1351","layer":2},{"info":"number node, value=1246","layer":2},{"info":"compute binary expreesion, left_input=1351, right_input=1246, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=1683346","layer":1},{"info":"number node, value=1087","layer":2},{"info":"number node, value=1327","layer":2},{"info":"compute binary expreesion, left_input=1087, right_input=1327, 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=1683346, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲601*⫶⩼⫲581/⫶⩼⫲4C7∑⇟⊟⫶⩼⫲5D7=NaN","reverse_text":"NaN=⫶⩼⫲601*⫶⩼⫲581/⫶⩼⫲4C7∑⇟⊟⫶⩼⫲5D7","cot":[{"info":"⫶⩼⫲601*⫶⩼⫲581=⫶⩼⫲233B81","layer":1},{"info":"⫶⩼⫲4C7∑⇟⊟⫶⩼⫲5D7=NaN","layer":1},{"info":"⫶⩼⫲233B81/NaN=NaN","layer":0}]}
{"id":616,"expression_no_base_symbol":"⇁⨣⪵$1262$⨰$3087$","expression":"⇁⨣⪵⫶⩼⫲592⨰⫶⩼⫲DAC","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":7,"operation_count":2,"complexity_ratio":3.5,"tree":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1262,"base":15},"right_expr":{"type":"numeric_atoms","value":3087,"base":15}}},"used_operators":["inkyxCbjAn","eewbuw0ToL"],"dependent_operators":["B5M0gjZbta","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1262","layer":2},{"info":"number node, value=3087","layer":2},{"info":"compute binary expreesion, left_input=1262, right_input=3087, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-1815","layer":1},{"info":"compute unary expreesion, input=-1815, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"⇁⨣⪵⫶⩼⫲592⨰⫶⩼⫲DAC=NaN","reverse_text":"NaN=⇁⨣⪵⫶⩼⫲592⨰⫶⩼⫲DAC","cot":[{"info":"⫶⩼⫲592⨰⫶⩼⫲DAC=⫶⩼⫲-810","layer":1},{"info":"⇁⨣⪵⫶⩼⫲-810=NaN","layer":0}]}
{"id":617,"expression_no_base_symbol":"(⨞⊢$1004$)⪨≂$3375$⪘⫢$3402$","expression":"(⨞⊢⫶⩼⫲46E)⪨≂⫶⩼⫲1000⪘⫢⫶⩼⫲101C","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":22,"operation_count":3,"complexity_ratio":7.333333333333333,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":1004,"base":15}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":3375,"base":15},"right_expr":{"type":"numeric_atoms","value":3402,"base":15}}},"used_operators":["sdazOOVcIp","xUOZtlo3hN","oacrs7FA3X"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"⫶⩼⫲-48DB","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1004","layer":2},{"info":"compute unary expreesion, input=1004, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1178","layer":1},{"info":"number node, value=3375","layer":2},{"info":"number node, value=3402","layer":2},{"info":"compute binary expreesion, left_input=3375, right_input=3402, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=6626","layer":1},{"info":"compute binary expreesion, left_input=-1178, right_input=6626, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-15506","layer":0}],"base":15,"result_base":15,"text":"(⨞⊢⫶⩼⫲46E)⪨≂⫶⩼⫲1000⪘⫢⫶⩼⫲101C=⫶⩼⫲-48DB","reverse_text":"⫶⩼⫲-48DB=(⨞⊢⫶⩼⫲46E)⪨≂⫶⩼⫲1000⪘⫢⫶⩼⫲101C","cot":[{"info":"⨞⊢⫶⩼⫲46E=⫶⩼⫲-538","layer":1},{"info":"⫶⩼⫲1000⪘⫢⫶⩼⫲101C=⫶⩼⫲1E6B","layer":1},{"info":"⫶⩼⫲-538⪨≂⫶⩼⫲1E6B=⫶⩼⫲-48DB","layer":0}]}
{"id":618,"expression_no_base_symbol":"⫓⪴(↣≠⋷$8364$)","expression":"⫓⪴(↣≠⋷⫶⩼⫲2729)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4,"operation_count":2,"complexity_ratio":2.0,"tree":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":8364,"base":15}}},"used_operators":["eLxqMNBOBk","Asc51vEJeQ"],"dependent_operators":["9HNa5Wba9A","XhwjNDsVaA","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=8364","layer":2},{"info":"compute unary expreesion, input=8364, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((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":15,"result_base":15,"text":"⫓⪴(↣≠⋷⫶⩼⫲2729)=NaN","reverse_text":"NaN=⫓⪴(↣≠⋷⫶⩼⫲2729)","cot":[{"info":"↣≠⋷⫶⩼⫲2729=NaN","layer":1},{"info":"⫓⪴NaN=NaN","layer":0}]}
{"id":619,"expression_no_base_symbol":"(↽≂$5494$)⪮%⊝($1862$∸)","expression":"(↽≂⫶⩼⫲1964)⪮%⊝(⫶⩼⫲842∸)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":189,"operation_count":3,"complexity_ratio":63.0,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":5494,"base":15}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":1862,"base":15}}},"used_operators":["IWmyXbctLI","u6S6b8DprG","o20kRiQErp"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x"],"result":"⫶⩼⫲-6640","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=5494","layer":2},{"info":"compute unary expreesion, input=5494, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-10988","layer":1},{"info":"number node, value=1862","layer":2},{"info":"compute unary expreesion, input=1862, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":1},{"info":"compute binary expreesion, left_input=-10988, right_input=177, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-21660","layer":0}],"base":15,"result_base":15,"text":"(↽≂⫶⩼⫲1964)⪮%⊝(⫶⩼⫲842∸)=⫶⩼⫲-6640","reverse_text":"⫶⩼⫲-6640=(↽≂⫶⩼⫲1964)⪮%⊝(⫶⩼⫲842∸)","cot":[{"info":"↽≂⫶⩼⫲1964=⫶⩼⫲-33C8","layer":1},{"info":"⫶⩼⫲842∸=⫶⩼⫲BC","layer":1},{"info":"⫶⩼⫲-33C8⪮%⊝⫶⩼⫲BC=⫶⩼⫲-6640","layer":0}]}
{"id":620,"expression_no_base_symbol":"($2512$⇼⇔∾$1653$)⫥∨⫟($4835$*$5890$)","expression":"(⫶⩼⫲B27⇼⇔∾⫶⩼⫲753)⫥∨⫟(⫶⩼⫲1675*⫶⩼⫲1B2A)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4991,"operation_count":3,"complexity_ratio":1663.6666666666667,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2512,"base":15},"right_expr":{"type":"numeric_atoms","value":1653,"base":15}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":4835,"base":15},"right_expr":{"type":"numeric_atoms","value":5890,"base":15}}},"used_operators":["KYD54nUTWz","tifHPKVTfV","9HNa5Wba9A"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2512","layer":2},{"info":"number node, value=1653","layer":2},{"info":"compute binary expreesion, left_input=2512, right_input=1653, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-859","layer":1},{"info":"number node, value=4835","layer":2},{"info":"number node, value=5890","layer":2},{"info":"compute binary expreesion, left_input=4835, right_input=5890, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=28478150","layer":1},{"info":"compute binary expreesion, left_input=-859, right_input=28478150, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲B27⇼⇔∾⫶⩼⫲753)⫥∨⫟(⫶⩼⫲1675*⫶⩼⫲1B2A)=NaN","reverse_text":"NaN=(⫶⩼⫲B27⇼⇔∾⫶⩼⫲753)⫥∨⫟(⫶⩼⫲1675*⫶⩼⫲1B2A)","cot":[{"info":"⫶⩼⫲B27⇼⇔∾⫶⩼⫲753=⫶⩼⫲-3C4","layer":1},{"info":"⫶⩼⫲1675*⫶⩼⫲1B2A=⫶⩼⫲2777E85","layer":1},{"info":"⫶⩼⫲-3C4⫥∨⫟⫶⩼⫲2777E85=NaN","layer":0}]}
{"id":621,"expression_no_base_symbol":"(⨵≀≌$1025$)⋥≓≎$3311$⨎$3940$","expression":"(⨵≀≌⫶⩼⫲485)⋥≓≎⫶⩼⫲EAB⨎⫶⩼⫲127A","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6,"operation_count":3,"complexity_ratio":2.0,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1025,"base":15}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":3311,"base":15},"right_expr":{"type":"numeric_atoms","value":3940,"base":15}}},"used_operators":["Qy55tPpLXF","srAu1WTS94","rJVOvQCfKK"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"⫶⩼⫲47","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1025","layer":2},{"info":"compute unary expreesion, input=1025, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-3075","layer":1},{"info":"number node, value=3311","layer":2},{"info":"number node, value=3940","layer":2},{"info":"compute binary expreesion, left_input=3311, right_input=3940, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3940","layer":1},{"info":"compute binary expreesion, left_input=-3075, right_input=3940, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":0}],"base":15,"result_base":15,"text":"(⨵≀≌⫶⩼⫲485)⋥≓≎⫶⩼⫲EAB⨎⫶⩼⫲127A=⫶⩼⫲47","reverse_text":"⫶⩼⫲47=(⨵≀≌⫶⩼⫲485)⋥≓≎⫶⩼⫲EAB⨎⫶⩼⫲127A","cot":[{"info":"⨵≀≌⫶⩼⫲485=⫶⩼⫲-DA0","layer":1},{"info":"⫶⩼⫲EAB⨎⫶⩼⫲127A=⫶⩼⫲127A","layer":1},{"info":"⫶⩼⫲-DA0⋥≓≎⫶⩼⫲127A=⫶⩼⫲47","layer":0}]}
{"id":622,"expression_no_base_symbol":"(⪝⪂⫅$1004$)⨸⪁$5064$↙$1775$","expression":"(⪝⪂⫅⫶⩼⫲46E)⨸⪁⫶⩼⫲1779↙⫶⩼⫲7D5","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1931,"operation_count":3,"complexity_ratio":643.6666666666666,"tree":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":1004,"base":15}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":5064,"base":15},"right_expr":{"type":"numeric_atoms","value":1775,"base":15}}},"used_operators":["g55IO6H4Gj","XTarYq4gQB","yyfyN0ffXY"],"dependent_operators":["W4YGzv6Whe","9HNa5Wba9A","8w2t5hMYqp","tmPS8pqC7x","DpFCA1CohY"],"result":"⫶⩼⫲-60936","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1004","layer":2},{"info":"compute unary expreesion, input=1004, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-147588","layer":1},{"info":"number node, value=5064","layer":2},{"info":"number node, value=1775","layer":2},{"info":"compute binary expreesion, left_input=5064, right_input=1775, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-5325","layer":1},{"info":"compute binary expreesion, left_input=-147588, right_input=-5325, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-305826","layer":0}],"base":15,"result_base":15,"text":"(⪝⪂⫅⫶⩼⫲46E)⨸⪁⫶⩼⫲1779↙⫶⩼⫲7D5=⫶⩼⫲-60936","reverse_text":"⫶⩼⫲-60936=(⪝⪂⫅⫶⩼⫲46E)⨸⪁⫶⩼⫲1779↙⫶⩼⫲7D5","cot":[{"info":"⪝⪂⫅⫶⩼⫲46E=⫶⩼⫲-2DAE3","layer":1},{"info":"⫶⩼⫲1779↙⫶⩼⫲7D5=⫶⩼⫲-18A0","layer":1},{"info":"⫶⩼⫲-2DAE3⨸⪁⫶⩼⫲-18A0=⫶⩼⫲-60936","layer":0}]}
{"id":623,"expression_no_base_symbol":"($3605$⨁⊸⫻)∀⇚≩$7457$≹⇙⪍$1239$","expression":"(⫶⩼⫲1105⨁⊸⫻)∀⇚≩⫶⩼⫲2322≹⇙⪍⫶⩼⫲579","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":25237,"operation_count":3,"complexity_ratio":8412.333333333334,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":3605,"base":15}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":7457,"base":15},"right_expr":{"type":"numeric_atoms","value":1239,"base":15}}},"used_operators":["LRNGc0VcxI","glklzrTFfD","AHs5Up7iyr"],"dependent_operators":["X99M06cbEe","W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=3605","layer":2},{"info":"compute unary expreesion, input=3605, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=3605","layer":1},{"info":"number node, value=7457","layer":2},{"info":"number node, value=1239","layer":2},{"info":"compute binary expreesion, left_input=7457, right_input=1239, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=3605, 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":15,"result_base":15,"text":"(⫶⩼⫲1105⨁⊸⫻)∀⇚≩⫶⩼⫲2322≹⇙⪍⫶⩼⫲579=NaN","reverse_text":"NaN=(⫶⩼⫲1105⨁⊸⫻)∀⇚≩⫶⩼⫲2322≹⇙⪍⫶⩼⫲579","cot":[{"info":"⫶⩼⫲1105⨁⊸⫻=⫶⩼⫲1105","layer":1},{"info":"⫶⩼⫲2322≹⇙⪍⫶⩼⫲579=NaN","layer":1},{"info":"⫶⩼⫲1105∀⇚≩NaN=NaN","layer":0}]}
{"id":624,"expression_no_base_symbol":"($1722$⨟⋌⩍$4876$)⪢($4869$-$2686$)","expression":"(⫶⩼⫲79C⨟⋌⩍⫶⩼⫲16A1)⪢(⫶⩼⫲1699-⫶⩼⫲BE1)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2185,"operation_count":3,"complexity_ratio":728.3333333333334,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1722,"base":15},"right_expr":{"type":"numeric_atoms","value":4876,"base":15}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":4869,"base":15},"right_expr":{"type":"numeric_atoms","value":2686,"base":15}}},"used_operators":["dWAJyo7jo9","rGHVDoGpnC","rysDP5nf3Z"],"dependent_operators":["k8jYdgA6NY","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1722","layer":2},{"info":"number node, value=4876","layer":2},{"info":"compute binary expreesion, left_input=1722, right_input=4876, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=4869","layer":2},{"info":"number node, value=2686","layer":2},{"info":"compute binary expreesion, left_input=4869, right_input=2686, op_id = rysDP5nf3Z binary_op_definition= 'None', output=2183","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2183, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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":15,"result_base":15,"text":"(⫶⩼⫲79C⨟⋌⩍⫶⩼⫲16A1)⪢(⫶⩼⫲1699-⫶⩼⫲BE1)=NaN","reverse_text":"NaN=(⫶⩼⫲79C⨟⋌⩍⫶⩼⫲16A1)⪢(⫶⩼⫲1699-⫶⩼⫲BE1)","cot":[{"info":"⫶⩼⫲79C⨟⋌⩍⫶⩼⫲16A1=NaN","layer":1},{"info":"⫶⩼⫲1699-⫶⩼⫲BE1=⫶⩼⫲9A8","layer":1},{"info":"NaN⪢⫶⩼⫲9A8=NaN","layer":0}]}
{"id":625,"expression_no_base_symbol":"(⪝⪂⫅$5124$)⫡⨏$8014$+⇶⊼$3084$","expression":"(⪝⪂⫅⫶⩼⫲17B9)⫡⨏⫶⩼⫲2594+⇶⊼⫶⩼⫲DA9","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":158,"operation_count":3,"complexity_ratio":52.666666666666664,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":5124,"base":15}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":8014,"base":15},"right_expr":{"type":"numeric_atoms","value":3084,"base":15}}},"used_operators":["QMFrweE19q","XTarYq4gQB","TpPTUOHfaN"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=5124","layer":2},{"info":"compute unary expreesion, input=5124, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-753228","layer":1},{"info":"number node, value=8014","layer":2},{"info":"number node, value=3084","layer":2},{"info":"compute binary expreesion, left_input=8014, right_input=3084, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=-753228, 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":15,"result_base":15,"text":"(⪝⪂⫅⫶⩼⫲17B9)⫡⨏⫶⩼⫲2594+⇶⊼⫶⩼⫲DA9=NaN","reverse_text":"NaN=(⪝⪂⫅⫶⩼⫲17B9)⫡⨏⫶⩼⫲2594+⇶⊼⫶⩼⫲DA9","cot":[{"info":"⪝⪂⫅⫶⩼⫲17B9=⫶⩼⫲-ED2A3","layer":1},{"info":"⫶⩼⫲2594+⇶⊼⫶⩼⫲DA9=NaN","layer":1},{"info":"⫶⩼⫲-ED2A3⫡⨏NaN=NaN","layer":0}]}
{"id":626,"expression_no_base_symbol":"$3197$⩷∴$1265$↙(⫛⫱⨽$1492$)","expression":"⫶⩼⫲E32⩷∴⫶⩼⫲595↙(⫛⫱⨽⫶⩼⫲697)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1432,"operation_count":3,"complexity_ratio":477.3333333333333,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":3197,"base":15},"right_expr":{"type":"numeric_atoms","value":1265,"base":15}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":1492,"base":15}}},"used_operators":["yyfyN0ffXY","9FxExcQeMw","DlLNRPXxWL"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","rGHVDoGpnC"],"result":"⫶⩼⫲0","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=3197","layer":2},{"info":"number node, value=1265","layer":2},{"info":"compute binary expreesion, left_input=3197, right_input=1265, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=3832","layer":1},{"info":"number node, value=1492","layer":2},{"info":"compute unary expreesion, input=1492, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=3832, right_input=0, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=0","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲E32⩷∴⫶⩼⫲595↙(⫛⫱⨽⫶⩼⫲697)=⫶⩼⫲0","reverse_text":"⫶⩼⫲0=⫶⩼⫲E32⩷∴⫶⩼⫲595↙(⫛⫱⨽⫶⩼⫲697)","cot":[{"info":"⫶⩼⫲E32⩷∴⫶⩼⫲595=⫶⩼⫲1207","layer":1},{"info":"⫛⫱⨽⫶⩼⫲697=⫶⩼⫲0","layer":1},{"info":"⫶⩼⫲1207↙⫶⩼⫲0=⫶⩼⫲0","layer":0}]}
{"id":627,"expression_no_base_symbol":"$2820$⨓$7790$⨎($4452$⇼⇔∾$1196$)","expression":"⫶⩼⫲C80⨓⫶⩼⫲2495⨎(⫶⩼⫲14BC⇼⇔∾⫶⩼⫲54B)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7799,"operation_count":3,"complexity_ratio":2599.6666666666665,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2820,"base":15},"right_expr":{"type":"numeric_atoms","value":7790,"base":15}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":4452,"base":15},"right_expr":{"type":"numeric_atoms","value":1196,"base":15}}},"used_operators":["rJVOvQCfKK","3ViojmjbAp","tifHPKVTfV"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd"],"result":"⫶⩼⫲-E71","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2820","layer":2},{"info":"number node, value=7790","layer":2},{"info":"compute binary expreesion, left_input=2820, right_input=7790, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-7793","layer":1},{"info":"number node, value=4452","layer":2},{"info":"number node, value=1196","layer":2},{"info":"compute binary expreesion, left_input=4452, right_input=1196, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-3256","layer":1},{"info":"compute binary expreesion, left_input=-7793, right_input=-3256, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-3256","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲C80⨓⫶⩼⫲2495⨎(⫶⩼⫲14BC⇼⇔∾⫶⩼⫲54B)=⫶⩼⫲-E71","reverse_text":"⫶⩼⫲-E71=⫶⩼⫲C80⨓⫶⩼⫲2495⨎(⫶⩼⫲14BC⇼⇔∾⫶⩼⫲54B)","cot":[{"info":"⫶⩼⫲C80⨓⫶⩼⫲2495=⫶⩼⫲-2498","layer":1},{"info":"⫶⩼⫲14BC⇼⇔∾⫶⩼⫲54B=⫶⩼⫲-E71","layer":1},{"info":"⫶⩼⫲-2498⨎⫶⩼⫲-E71=⫶⩼⫲-E71","layer":0}]}
{"id":628,"expression_no_base_symbol":"($1482$⨐⩸⫘$2732$)⪮%⊝($2155$⨎$1118$)","expression":"(⫶⩼⫲68C⨐⩸⫘⫶⩼⫲C22)⪮%⊝(⫶⩼⫲98A⨎⫶⩼⫲4E8)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":11,"operation_count":3,"complexity_ratio":3.6666666666666665,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1482,"base":15},"right_expr":{"type":"numeric_atoms","value":2732,"base":15}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2155,"base":15},"right_expr":{"type":"numeric_atoms","value":1118,"base":15}}},"used_operators":["IWmyXbctLI","fu6greOZ01","rJVOvQCfKK"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","3ViojmjbAp","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1482","layer":2},{"info":"number node, value=2732","layer":2},{"info":"compute binary expreesion, left_input=1482, right_input=2732, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=2155","layer":2},{"info":"number node, value=1118","layer":2},{"info":"compute binary expreesion, left_input=2155, right_input=1118, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1118","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1118, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲68C⨐⩸⫘⫶⩼⫲C22)⪮%⊝(⫶⩼⫲98A⨎⫶⩼⫲4E8)=NaN","reverse_text":"NaN=(⫶⩼⫲68C⨐⩸⫘⫶⩼⫲C22)⪮%⊝(⫶⩼⫲98A⨎⫶⩼⫲4E8)","cot":[{"info":"⫶⩼⫲68C⨐⩸⫘⫶⩼⫲C22=NaN","layer":1},{"info":"⫶⩼⫲98A⨎⫶⩼⫲4E8=⫶⩼⫲4E8","layer":1},{"info":"NaN⪮%⊝⫶⩼⫲4E8=NaN","layer":0}]}
{"id":629,"expression_no_base_symbol":"$4995$⪢$7735$⊭∹↮","expression":"⫶⩼⫲1730⪢⫶⩼⫲245A⊭∹↮","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":7741,"operation_count":2,"complexity_ratio":3870.5,"tree":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":4995,"base":15},"right_expr":{"type":"numeric_atoms","value":7735,"base":15}}},"used_operators":["xNBdhnnwKq","dWAJyo7jo9"],"dependent_operators":["2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=4995","layer":2},{"info":"number node, value=7735","layer":2},{"info":"compute binary expreesion, left_input=4995, right_input=7735, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=nan","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲1730⪢⫶⩼⫲245A⊭∹↮=NaN","reverse_text":"NaN=⫶⩼⫲1730⪢⫶⩼⫲245A⊭∹↮","cot":[{"info":"⫶⩼⫲1730⪢⫶⩼⫲245A=NaN","layer":1},{"info":"NaN⊭∹↮=NaN","layer":0}]}
{"id":630,"expression_no_base_symbol":"(≉$1131$)∼$1390$≹⇙⪍$1342$","expression":"(≉⫶⩼⫲506)∼⫶⩼⫲62A≹⇙⪍⫶⩼⫲5E7","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":37,"operation_count":3,"complexity_ratio":12.333333333333334,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1131,"base":15}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1390,"base":15},"right_expr":{"type":"numeric_atoms","value":1342,"base":15}}},"used_operators":["DyGG3AbaNP","e1ybzncUwg","AHs5Up7iyr"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1131","layer":2},{"info":"compute unary expreesion, input=1131, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=1662","layer":1},{"info":"number node, value=1390","layer":2},{"info":"number node, value=1342","layer":2},{"info":"compute binary expreesion, left_input=1390, right_input=1342, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=1662, 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":15,"result_base":15,"text":"(≉⫶⩼⫲506)∼⫶⩼⫲62A≹⇙⪍⫶⩼⫲5E7=NaN","reverse_text":"NaN=(≉⫶⩼⫲506)∼⫶⩼⫲62A≹⇙⪍⫶⩼⫲5E7","cot":[{"info":"≉⫶⩼⫲506=⫶⩼⫲75C","layer":1},{"info":"⫶⩼⫲62A≹⇙⪍⫶⩼⫲5E7=NaN","layer":1},{"info":"⫶⩼⫲75C∼NaN=NaN","layer":0}]}
{"id":631,"expression_no_base_symbol":"(⨞⊢$1766$)⪘⫢(↔$1448$)","expression":"(⨞⊢⫶⩼⫲7CB)⪘⫢(↔⫶⩼⫲668)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":18,"operation_count":3,"complexity_ratio":6.0,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":1766,"base":15}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":1448,"base":15}}},"used_operators":["oacrs7FA3X","xUOZtlo3hN","ruOEQAzv1W"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp"],"result":"⫶⩼⫲-1","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1766","layer":2},{"info":"compute unary expreesion, input=1766, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1940","layer":1},{"info":"number node, value=1448","layer":2},{"info":"compute unary expreesion, input=1448, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-1175","layer":1},{"info":"compute binary expreesion, left_input=-1940, right_input=-1175, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=-1","layer":0}],"base":15,"result_base":15,"text":"(⨞⊢⫶⩼⫲7CB)⪘⫢(↔⫶⩼⫲668)=⫶⩼⫲-1","reverse_text":"⫶⩼⫲-1=(⨞⊢⫶⩼⫲7CB)⪘⫢(↔⫶⩼⫲668)","cot":[{"info":"⨞⊢⫶⩼⫲7CB=⫶⩼⫲-895","layer":1},{"info":"↔⫶⩼⫲668=⫶⩼⫲-535","layer":1},{"info":"⫶⩼⫲-895⪘⫢⫶⩼⫲-535=⫶⩼⫲-1","layer":0}]}
{"id":632,"expression_no_base_symbol":"($1545$⊪)↪⪝","expression":"(⫶⩼⫲6D0⊪)↪⪝","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":38,"operation_count":2,"complexity_ratio":19.0,"tree":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":1545,"base":15}}},"used_operators":["l07mrZUIn9","zVYPLywUTj"],"dependent_operators":["9HNa5Wba9A","2DDjHMKMc0","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL"],"result":"⫶⩼⫲0","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1545","layer":2},{"info":"compute unary expreesion, input=1545, 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 = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=0","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲6D0⊪)↪⪝=⫶⩼⫲0","reverse_text":"⫶⩼⫲0=(⫶⩼⫲6D0⊪)↪⪝","cot":[{"info":"⫶⩼⫲6D0⊪=⫶⩼⫲0","layer":1},{"info":"⫶⩼⫲0↪⪝=⫶⩼⫲0","layer":0}]}
{"id":633,"expression_no_base_symbol":"(≉$3861$)⋳⪒($5849$⨎$1084$)","expression":"(≉⫶⩼⫲1226)⋳⪒(⫶⩼⫲1AEE⨎⫶⩼⫲4C4)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":10,"operation_count":3,"complexity_ratio":3.3333333333333335,"tree":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":3861,"base":15}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":5849,"base":15},"right_expr":{"type":"numeric_atoms","value":1084,"base":15}}},"used_operators":["12rbrZMWeM","e1ybzncUwg","rJVOvQCfKK"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"⫶⩼⫲22E3","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=3861","layer":2},{"info":"compute unary expreesion, input=3861, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=4392","layer":1},{"info":"number node, value=5849","layer":2},{"info":"number node, value=1084","layer":2},{"info":"compute binary expreesion, left_input=5849, right_input=1084, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1084","layer":1},{"info":"compute binary expreesion, left_input=4392, right_input=1084, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=7413","layer":0}],"base":15,"result_base":15,"text":"(≉⫶⩼⫲1226)⋳⪒(⫶⩼⫲1AEE⨎⫶⩼⫲4C4)=⫶⩼⫲22E3","reverse_text":"⫶⩼⫲22E3=(≉⫶⩼⫲1226)⋳⪒(⫶⩼⫲1AEE⨎⫶⩼⫲4C4)","cot":[{"info":"≉⫶⩼⫲1226=⫶⩼⫲147C","layer":1},{"info":"⫶⩼⫲1AEE⨎⫶⩼⫲4C4=⫶⩼⫲4C4","layer":1},{"info":"⫶⩼⫲147C⋳⪒⫶⩼⫲4C4=⫶⩼⫲22E3","layer":0}]}
{"id":634,"expression_no_base_symbol":"(⫓⪴$1300$)⊘","expression":"(⫓⪴⫶⩼⫲5BA)⊘","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1319,"operation_count":2,"complexity_ratio":659.5,"tree":{"type":"unary","operator":"⊘","unary_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":1300,"base":15}}},"used_operators":["gu96TGCTMs","eLxqMNBOBk"],"dependent_operators":["XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","9HNa5Wba9A"],"result":"⫶⩼⫲0","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1300","layer":2},{"info":"compute unary expreesion, input=1300, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=1690000","layer":1},{"info":"compute unary expreesion, input=1690000, 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":15,"result_base":15,"text":"(⫓⪴⫶⩼⫲5BA)⊘=⫶⩼⫲0","reverse_text":"⫶⩼⫲0=(⫓⪴⫶⩼⫲5BA)⊘","cot":[{"info":"⫓⪴⫶⩼⫲5BA=⫶⩼⫲235B1A","layer":1},{"info":"⫶⩼⫲235B1A⊘=⫶⩼⫲0","layer":0}]}
{"id":635,"expression_no_base_symbol":"$1173$⫥∨⫟$3360$⫸⊐($4473$/$5809$)","expression":"⫶⩼⫲533⫥∨⫟⫶⩼⫲EE0⫸⊐(⫶⩼⫲14D3/⫶⩼⫲1AC4)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":159,"operation_count":3,"complexity_ratio":53.0,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1173,"base":15},"right_expr":{"type":"numeric_atoms","value":3360,"base":15}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":4473,"base":15},"right_expr":{"type":"numeric_atoms","value":5809,"base":15}}},"used_operators":["mqXw5SEYmG","KYD54nUTWz","XhwjNDsVaA"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1173","layer":2},{"info":"number node, value=3360","layer":2},{"info":"compute binary expreesion, left_input=1173, right_input=3360, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=4473","layer":2},{"info":"number node, value=5809","layer":2},{"info":"compute binary expreesion, left_input=4473, right_input=5809, op_id = XhwjNDsVaA binary_op_definition= 'None', 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":15,"result_base":15,"text":"⫶⩼⫲533⫥∨⫟⫶⩼⫲EE0⫸⊐(⫶⩼⫲14D3/⫶⩼⫲1AC4)=NaN","reverse_text":"NaN=⫶⩼⫲533⫥∨⫟⫶⩼⫲EE0⫸⊐(⫶⩼⫲14D3/⫶⩼⫲1AC4)","cot":[{"info":"⫶⩼⫲533⫥∨⫟⫶⩼⫲EE0=NaN","layer":1},{"info":"⫶⩼⫲14D3/⫶⩼⫲1AC4=⫶⩼⫲0","layer":1},{"info":"NaN⫸⊐⫶⩼⫲0=NaN","layer":0}]}
{"id":636,"expression_no_base_symbol":"($8040$⇼⇔∾$2047$)↙$1766$⩷∴$3441$","expression":"(⫶⩼⫲25B0⇼⇔∾⫶⩼⫲917)↙⫶⩼⫲7CB⩷∴⫶⩼⫲1046","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":9,"operation_count":3,"complexity_ratio":3.0,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":8040,"base":15},"right_expr":{"type":"numeric_atoms","value":2047,"base":15}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1766,"base":15},"right_expr":{"type":"numeric_atoms","value":3441,"base":15}}},"used_operators":["yyfyN0ffXY","tifHPKVTfV","9FxExcQeMw"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z"],"result":"⫶⩼⫲-1B98","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=8040","layer":2},{"info":"number node, value=2047","layer":2},{"info":"compute binary expreesion, left_input=8040, right_input=2047, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-5993","layer":1},{"info":"number node, value=1766","layer":2},{"info":"number node, value=3441","layer":2},{"info":"compute binary expreesion, left_input=1766, right_input=3441, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-3382","layer":1},{"info":"compute binary expreesion, left_input=-5993, right_input=-3382, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-5993","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲25B0⇼⇔∾⫶⩼⫲917)↙⫶⩼⫲7CB⩷∴⫶⩼⫲1046=⫶⩼⫲-1B98","reverse_text":"⫶⩼⫲-1B98=(⫶⩼⫲25B0⇼⇔∾⫶⩼⫲917)↙⫶⩼⫲7CB⩷∴⫶⩼⫲1046","cot":[{"info":"⫶⩼⫲25B0⇼⇔∾⫶⩼⫲917=⫶⩼⫲-1B98","layer":1},{"info":"⫶⩼⫲7CB⩷∴⫶⩼⫲1046=⫶⩼⫲-1007","layer":1},{"info":"⫶⩼⫲-1B98↙⫶⩼⫲-1007=⫶⩼⫲-1B98","layer":0}]}
{"id":637,"expression_no_base_symbol":"$2329$⋓$1795$⨽(↥$3237$)","expression":"⫶⩼⫲A54⋓⫶⩼⫲7EA⨽(↥⫶⩼⫲E5C)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":86,"operation_count":3,"complexity_ratio":28.666666666666668,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2329,"base":15},"right_expr":{"type":"numeric_atoms","value":1795,"base":15}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":3237,"base":15}}},"used_operators":["8HhzD0ZcuI","T2fj7uvVaJ","A8NUZmVepG"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","k8jYdgA6NY"],"result":"⫶⩼⫲57C","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2329","layer":2},{"info":"number node, value=1795","layer":2},{"info":"compute binary expreesion, left_input=2329, right_input=1795, op_id = T2fj7uvVaJ binary_op_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=3237","layer":2},{"info":"compute unary expreesion, input=3237, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=24","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=24, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=1242","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲A54⋓⫶⩼⫲7EA⨽(↥⫶⩼⫲E5C)=⫶⩼⫲57C","reverse_text":"⫶⩼⫲57C=⫶⩼⫲A54⋓⫶⩼⫲7EA⨽(↥⫶⩼⫲E5C)","cot":[{"info":"⫶⩼⫲A54⋓⫶⩼⫲7EA=⫶⩼⫲0","layer":1},{"info":"↥⫶⩼⫲E5C=⫶⩼⫲19","layer":1},{"info":"⫶⩼⫲0⨽⫶⩼⫲19=⫶⩼⫲57C","layer":0}]}
{"id":638,"expression_no_base_symbol":"(⫛⫱⨽$2485$)⨪↰⇹($4728$≎⊠⪸$1362$)","expression":"(⫛⫱⨽⫶⩼⫲B0A)⨪↰⇹(⫶⩼⫲1603≎⊠⪸⫶⩼⫲60C)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1693,"operation_count":3,"complexity_ratio":564.3333333333334,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":2485,"base":15}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":4728,"base":15},"right_expr":{"type":"numeric_atoms","value":1362,"base":15}}},"used_operators":["tmPS8pqC7x","DlLNRPXxWL","bJkvcejdHO"],"dependent_operators":["rJVOvQCfKK","rGHVDoGpnC","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"⫶⩼⫲0","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2485","layer":2},{"info":"compute unary expreesion, input=2485, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":1},{"info":"number node, value=4728","layer":2},{"info":"number node, value=1362","layer":2},{"info":"compute binary expreesion, left_input=4728, right_input=1362, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1224079","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=1224079, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=0","layer":0}],"base":15,"result_base":15,"text":"(⫛⫱⨽⫶⩼⫲B0A)⨪↰⇹(⫶⩼⫲1603≎⊠⪸⫶⩼⫲60C)=⫶⩼⫲0","reverse_text":"⫶⩼⫲0=(⫛⫱⨽⫶⩼⫲B0A)⨪↰⇹(⫶⩼⫲1603≎⊠⪸⫶⩼⫲60C)","cot":[{"info":"⫛⫱⨽⫶⩼⫲B0A=⫶⩼⫲0","layer":1},{"info":"⫶⩼⫲1603≎⊠⪸⫶⩼⫲60C=⫶⩼⫲192A54","layer":1},{"info":"⫶⩼⫲0⨪↰⇹⫶⩼⫲192A54=⫶⩼⫲0","layer":0}]}
{"id":639,"expression_no_base_symbol":"($1022$⪨≂$2358$)≎⊠⪸$4520$⩷∴$2759$","expression":"(⫶⩼⫲482⪨≂⫶⩼⫲A73)≎⊠⪸⫶⩼⫲1515⩷∴⫶⩼⫲C3E","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":282,"operation_count":3,"complexity_ratio":94.0,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1022,"base":15},"right_expr":{"type":"numeric_atoms","value":2358,"base":15}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":4520,"base":15},"right_expr":{"type":"numeric_atoms","value":2759,"base":15}}},"used_operators":["bJkvcejdHO","sdazOOVcIp","9FxExcQeMw"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z"],"result":"⫶⩼⫲D2355","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1022","layer":2},{"info":"number node, value=2358","layer":2},{"info":"compute binary expreesion, left_input=1022, right_input=2358, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-2570","layer":1},{"info":"number node, value=4520","layer":2},{"info":"number node, value=2759","layer":2},{"info":"compute binary expreesion, left_input=4520, right_input=2759, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=3490","layer":1},{"info":"compute binary expreesion, left_input=-2570, right_input=3490, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=665630","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲482⪨≂⫶⩼⫲A73)≎⊠⪸⫶⩼⫲1515⩷∴⫶⩼⫲C3E=⫶⩼⫲D2355","reverse_text":"⫶⩼⫲D2355=(⫶⩼⫲482⪨≂⫶⩼⫲A73)≎⊠⪸⫶⩼⫲1515⩷∴⫶⩼⫲C3E","cot":[{"info":"⫶⩼⫲482⪨≂⫶⩼⫲A73=⫶⩼⫲-B65","layer":1},{"info":"⫶⩼⫲1515⩷∴⫶⩼⫲C3E=⫶⩼⫲107A","layer":1},{"info":"⫶⩼⫲-B65≎⊠⪸⫶⩼⫲107A=⫶⩼⫲D2355","layer":0}]}
{"id":640,"expression_no_base_symbol":"⨈⫕($8118$⊉≛↸$4354$)","expression":"⨈⫕(⫶⩼⫲2613⊉≛↸⫶⩼⫲1454)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":388,"operation_count":2,"complexity_ratio":194.0,"tree":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":8118,"base":15},"right_expr":{"type":"numeric_atoms","value":4354,"base":15}}},"used_operators":["megm06wKyl","DZ8iAZOCBD"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫶⩼⫲-16","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=8118","layer":2},{"info":"number node, value=4354","layer":2},{"info":"compute binary expreesion, left_input=8118, right_input=4354, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=16236","layer":1},{"info":"compute unary expreesion, input=16236, 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":15,"result_base":15,"text":"⨈⫕(⫶⩼⫲2613⊉≛↸⫶⩼⫲1454)=⫶⩼⫲-16","reverse_text":"⫶⩼⫲-16=⨈⫕(⫶⩼⫲2613⊉≛↸⫶⩼⫲1454)","cot":[{"info":"⫶⩼⫲2613⊉≛↸⫶⩼⫲1454=⫶⩼⫲4C26","layer":1},{"info":"⨈⫕⫶⩼⫲4C26=⫶⩼⫲-16","layer":0}]}
{"id":641,"expression_no_base_symbol":"$2558$⪛$1422$-$4608$⊉≛↸$3716$","expression":"⫶⩼⫲B58⪛⫶⩼⫲64C-⫶⩼⫲1573⊉≛↸⫶⩼⫲117B","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7,"operation_count":3,"complexity_ratio":2.3333333333333335,"tree":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2558,"base":15},"right_expr":{"type":"numeric_atoms","value":1422,"base":15}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":4608,"base":15},"right_expr":{"type":"numeric_atoms","value":3716,"base":15}}},"used_operators":["rysDP5nf3Z","uFcxV4UQCh","DZ8iAZOCBD"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫶⩼⫲-25DA","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2558","layer":2},{"info":"number node, value=1422","layer":2},{"info":"compute binary expreesion, left_input=2558, right_input=1422, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1136","layer":1},{"info":"number node, value=4608","layer":2},{"info":"number node, value=3716","layer":2},{"info":"compute binary expreesion, left_input=4608, right_input=3716, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=9216","layer":1},{"info":"compute binary expreesion, left_input=1136, right_input=9216, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-8080","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲B58⪛⫶⩼⫲64C-⫶⩼⫲1573⊉≛↸⫶⩼⫲117B=⫶⩼⫲-25DA","reverse_text":"⫶⩼⫲-25DA=⫶⩼⫲B58⪛⫶⩼⫲64C-⫶⩼⫲1573⊉≛↸⫶⩼⫲117B","cot":[{"info":"⫶⩼⫲B58⪛⫶⩼⫲64C=⫶⩼⫲50B","layer":1},{"info":"⫶⩼⫲1573⊉≛↸⫶⩼⫲117B=⫶⩼⫲2AE6","layer":1},{"info":"⫶⩼⫲50B-⫶⩼⫲2AE6=⫶⩼⫲-25DA","layer":0}]}
{"id":642,"expression_no_base_symbol":"($2186$⨐⩸⫘$1063$)∸","expression":"(⫶⩼⫲9AB⨐⩸⫘⫶⩼⫲4AD)∸","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":178,"operation_count":2,"complexity_ratio":89.0,"tree":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2186,"base":15},"right_expr":{"type":"numeric_atoms","value":1063,"base":15}}},"used_operators":["o20kRiQErp","fu6greOZ01"],"dependent_operators":["tmPS8pqC7x","3ViojmjbAp"],"result":"⫶⩼⫲BC","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=2186","layer":2},{"info":"number node, value=1063","layer":2},{"info":"compute binary expreesion, left_input=2186, right_input=1063, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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 = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲9AB⨐⩸⫘⫶⩼⫲4AD)∸=⫶⩼⫲BC","reverse_text":"⫶⩼⫲BC=(⫶⩼⫲9AB⨐⩸⫘⫶⩼⫲4AD)∸","cot":[{"info":"⫶⩼⫲9AB⨐⩸⫘⫶⩼⫲4AD=NaN","layer":1},{"info":"NaN∸=⫶⩼⫲BC","layer":0}]}
{"id":643,"expression_no_base_symbol":"$5434$⪘⫢$2009$⨵⪆$6575$⨓$5724$","expression":"⫶⩼⫲1924⪘⫢⫶⩼⫲8DE⨵⪆⫶⩼⫲1E35⨓⫶⩼⫲1A69","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5746,"operation_count":3,"complexity_ratio":1915.3333333333333,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":5434,"base":15},"right_expr":{"type":"numeric_atoms","value":2009,"base":15}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":6575,"base":15},"right_expr":{"type":"numeric_atoms","value":5724,"base":15}}},"used_operators":["2DQ55sFlQl","oacrs7FA3X","3ViojmjbAp"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"⫶⩼⫲AA","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=5434","layer":2},{"info":"number node, value=2009","layer":2},{"info":"compute binary expreesion, left_input=5434, right_input=2009, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=10744","layer":1},{"info":"number node, value=6575","layer":2},{"info":"number node, value=5724","layer":2},{"info":"compute binary expreesion, left_input=6575, right_input=5724, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-5727","layer":1},{"info":"compute binary expreesion, left_input=10744, right_input=-5727, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲1924⪘⫢⫶⩼⫲8DE⨵⪆⫶⩼⫲1E35⨓⫶⩼⫲1A69=⫶⩼⫲AA","reverse_text":"⫶⩼⫲AA=⫶⩼⫲1924⪘⫢⫶⩼⫲8DE⨵⪆⫶⩼⫲1E35⨓⫶⩼⫲1A69","cot":[{"info":"⫶⩼⫲1924⪘⫢⫶⩼⫲8DE=⫶⩼⫲32B4","layer":1},{"info":"⫶⩼⫲1E35⨓⫶⩼⫲1A69=⫶⩼⫲-1A6C","layer":1},{"info":"⫶⩼⫲32B4⨵⪆⫶⩼⫲-1A6C=⫶⩼⫲AA","layer":0}]}
{"id":644,"expression_no_base_symbol":"($7304$⫩⊇)↙(↣≠⋷$2382$)","expression":"(⫶⩼⫲226E⫩⊇)↙(↣≠⋷⫶⩼⫲A8C)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6,"operation_count":3,"complexity_ratio":2.0,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":7304,"base":15}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":2382,"base":15}}},"used_operators":["yyfyN0ffXY","BjRHVeLaeN","Asc51vEJeQ"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr"],"result":"⫶⩼⫲-2242","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=7304","layer":2},{"info":"compute unary expreesion, input=7304, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-7262","layer":1},{"info":"number node, value=2382","layer":2},{"info":"compute unary expreesion, input=2382, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-7262, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-7262","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲226E⫩⊇)↙(↣≠⋷⫶⩼⫲A8C)=⫶⩼⫲-2242","reverse_text":"⫶⩼⫲-2242=(⫶⩼⫲226E⫩⊇)↙(↣≠⋷⫶⩼⫲A8C)","cot":[{"info":"⫶⩼⫲226E⫩⊇=⫶⩼⫲-2242","layer":1},{"info":"↣≠⋷⫶⩼⫲A8C=NaN","layer":1},{"info":"⫶⩼⫲-2242↙NaN=⫶⩼⫲-2242","layer":0}]}
{"id":645,"expression_no_base_symbol":"$1777$⪨≂$9649$/($4720$/$4072$)","expression":"⫶⩼⫲7D7⪨≂⫶⩼⫲2CD4/(⫶⩼⫲15EA/⫶⩼⫲1317)","highest_n_order":2,"priority_hierarchical_complexity":1,"normalized_expansion_degree":15648,"operation_count":3,"complexity_ratio":5216.0,"tree":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1777,"base":15},"right_expr":{"type":"numeric_atoms","value":9649,"base":15}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":4720,"base":15},"right_expr":{"type":"numeric_atoms","value":4072,"base":15}}},"used_operators":["XhwjNDsVaA","sdazOOVcIp"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"⫶⩼⫲-497C","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1777","layer":2},{"info":"number node, value=9649","layer":2},{"info":"compute binary expreesion, left_input=1777, right_input=9649, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-15642","layer":1},{"info":"number node, value=4720","layer":2},{"info":"number node, value=4072","layer":2},{"info":"compute binary expreesion, left_input=4720, right_input=4072, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":1},{"info":"compute binary expreesion, left_input=-15642, right_input=1, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-15642","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲7D7⪨≂⫶⩼⫲2CD4/(⫶⩼⫲15EA/⫶⩼⫲1317)=⫶⩼⫲-497C","reverse_text":"⫶⩼⫲-497C=⫶⩼⫲7D7⪨≂⫶⩼⫲2CD4/(⫶⩼⫲15EA/⫶⩼⫲1317)","cot":[{"info":"⫶⩼⫲7D7⪨≂⫶⩼⫲2CD4=⫶⩼⫲-497C","layer":1},{"info":"⫶⩼⫲15EA/⫶⩼⫲1317=⫶⩼⫲1","layer":1},{"info":"⫶⩼⫲-497C/⫶⩼⫲1=⫶⩼⫲-497C","layer":0}]}
{"id":646,"expression_no_base_symbol":"($5018$⨽$1559$)≹⇙⪍($2602$⪨≂$2906$)","expression":"(⫶⩼⫲1748⨽⫶⩼⫲6DE)≹⇙⪍(⫶⩼⫲B87⪨≂⫶⩼⫲CDB)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":24499025,"operation_count":3,"complexity_ratio":8166341.666666667,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":5018,"base":15},"right_expr":{"type":"numeric_atoms","value":1559,"base":15}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2602,"base":15},"right_expr":{"type":"numeric_atoms","value":2906,"base":15}}},"used_operators":["AHs5Up7iyr","8HhzD0ZcuI","sdazOOVcIp"],"dependent_operators":["dWAJyo7jo9","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=5018","layer":2},{"info":"number node, value=1559","layer":2},{"info":"compute binary expreesion, left_input=5018, right_input=1559, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-75544335","layer":1},{"info":"number node, value=2602","layer":2},{"info":"number node, value=2906","layer":2},{"info":"compute binary expreesion, left_input=2602, right_input=2906, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-506","layer":1},{"info":"compute binary expreesion, left_input=-75544335, right_input=-506, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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":15,"result_base":15,"text":"(⫶⩼⫲1748⨽⫶⩼⫲6DE)≹⇙⪍(⫶⩼⫲B87⪨≂⫶⩼⫲CDB)=NaN","reverse_text":"NaN=(⫶⩼⫲1748⨽⫶⩼⫲6DE)≹⇙⪍(⫶⩼⫲B87⪨≂⫶⩼⫲CDB)","cot":[{"info":"⫶⩼⫲1748⨽⫶⩼⫲6DE=⫶⩼⫲-6973790","layer":1},{"info":"⫶⩼⫲B87⪨≂⫶⩼⫲CDB=⫶⩼⫲-23B","layer":1},{"info":"⫶⩼⫲-6973790≹⇙⪍⫶⩼⫲-23B=NaN","layer":0}]}
{"id":647,"expression_no_base_symbol":"($2588$≧⫂∧$3162$)⪘⫢$1195$⇷$3318$","expression":"(⫶⩼⫲B78≧⫂∧⫶⩼⫲E0C)⪘⫢⫶⩼⫲54A⇷⫶⩼⫲EB3","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":16752,"operation_count":3,"complexity_ratio":5584.0,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2588,"base":15},"right_expr":{"type":"numeric_atoms","value":3162,"base":15}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1195,"base":15},"right_expr":{"type":"numeric_atoms","value":3318,"base":15}}},"used_operators":["oacrs7FA3X","Ph9nP6C5qx","mp7IySMOzn"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"⫶⩼⫲1854","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2588","layer":2},{"info":"number node, value=3162","layer":2},{"info":"compute binary expreesion, left_input=2588, right_input=3162, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2689","layer":1},{"info":"number node, value=1195","layer":2},{"info":"number node, value=3318","layer":2},{"info":"compute binary expreesion, left_input=1195, right_input=3318, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=6636","layer":1},{"info":"compute binary expreesion, left_input=2689, right_input=6636, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=5254","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲B78≧⫂∧⫶⩼⫲E0C)⪘⫢⫶⩼⫲54A⇷⫶⩼⫲EB3=⫶⩼⫲1854","reverse_text":"⫶⩼⫲1854=(⫶⩼⫲B78≧⫂∧⫶⩼⫲E0C)⪘⫢⫶⩼⫲54A⇷⫶⩼⫲EB3","cot":[{"info":"⫶⩼⫲B78≧⫂∧⫶⩼⫲E0C=⫶⩼⫲BE4","layer":1},{"info":"⫶⩼⫲54A⇷⫶⩼⫲EB3=⫶⩼⫲1E76","layer":1},{"info":"⫶⩼⫲BE4⪘⫢⫶⩼⫲1E76=⫶⩼⫲1854","layer":0}]}
{"id":648,"expression_no_base_symbol":"($1014$⇼⇔∾$8488$)⨰($2550$+⇶⊼$4982$)","expression":"(⫶⩼⫲479⇼⇔∾⫶⩼⫲27AD)⨰(⫶⩼⫲B50+⇶⊼⫶⩼⫲1722)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":9,"operation_count":3,"complexity_ratio":3.0,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1014,"base":15},"right_expr":{"type":"numeric_atoms","value":8488,"base":15}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2550,"base":15},"right_expr":{"type":"numeric_atoms","value":4982,"base":15}}},"used_operators":["eewbuw0ToL","tifHPKVTfV","TpPTUOHfaN"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1014","layer":2},{"info":"number node, value=8488","layer":2},{"info":"compute binary expreesion, left_input=1014, right_input=8488, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=7474","layer":1},{"info":"number node, value=2550","layer":2},{"info":"number node, value=4982","layer":2},{"info":"compute binary expreesion, left_input=2550, right_input=4982, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=7474, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲479⇼⇔∾⫶⩼⫲27AD)⨰(⫶⩼⫲B50+⇶⊼⫶⩼⫲1722)=NaN","reverse_text":"NaN=(⫶⩼⫲479⇼⇔∾⫶⩼⫲27AD)⨰(⫶⩼⫲B50+⇶⊼⫶⩼⫲1722)","cot":[{"info":"⫶⩼⫲479⇼⇔∾⫶⩼⫲27AD=⫶⩼⫲2334","layer":1},{"info":"⫶⩼⫲B50+⇶⊼⫶⩼⫲1722=NaN","layer":1},{"info":"⫶⩼⫲2334⨰NaN=NaN","layer":0}]}
{"id":649,"expression_no_base_symbol":"$6318$+$3698$⨵⪆(⫛⫱⨽$2679$)","expression":"⫶⩼⫲1D13+⫶⩼⫲1168⨵⪆(⫛⫱⨽⫶⩼⫲BD9)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1424,"operation_count":3,"complexity_ratio":474.6666666666667,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":6318,"base":15},"right_expr":{"type":"numeric_atoms","value":3698,"base":15}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":2679,"base":15}}},"used_operators":["2DQ55sFlQl","W4YGzv6Whe","DlLNRPXxWL"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC"],"result":"⫶⩼⫲AA","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=6318","layer":2},{"info":"number node, value=3698","layer":2},{"info":"compute binary expreesion, left_input=6318, right_input=3698, op_id = W4YGzv6Whe binary_op_definition= 'None', output=10016","layer":1},{"info":"number node, value=2679","layer":2},{"info":"compute unary expreesion, input=2679, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=10016, right_input=0, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲1D13+⫶⩼⫲1168⨵⪆(⫛⫱⨽⫶⩼⫲BD9)=⫶⩼⫲AA","reverse_text":"⫶⩼⫲AA=⫶⩼⫲1D13+⫶⩼⫲1168⨵⪆(⫛⫱⨽⫶⩼⫲BD9)","cot":[{"info":"⫶⩼⫲1D13+⫶⩼⫲1168=⫶⩼⫲2E7B","layer":1},{"info":"⫛⫱⨽⫶⩼⫲BD9=⫶⩼⫲0","layer":1},{"info":"⫶⩼⫲2E7B⨵⪆⫶⩼⫲0=⫶⩼⫲AA","layer":0}]}
{"id":650,"expression_no_base_symbol":"($7375$≣⋋)⨎(↔$1648$)","expression":"(⫶⩼⫲22BA≣⋋)⨎(↔⫶⩼⫲74D)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":522,"operation_count":3,"complexity_ratio":174.0,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":7375,"base":15}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":1648,"base":15}}},"used_operators":["rJVOvQCfKK","Tcnh7f0tEr","ruOEQAzv1W"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp"],"result":"⫶⩼⫲-61A","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=7375","layer":2},{"info":"compute unary expreesion, input=7375, 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=1648","layer":2},{"info":"compute unary expreesion, input=1648, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-1375","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-1375, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-1375","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲22BA≣⋋)⨎(↔⫶⩼⫲74D)=⫶⩼⫲-61A","reverse_text":"⫶⩼⫲-61A=(⫶⩼⫲22BA≣⋋)⨎(↔⫶⩼⫲74D)","cot":[{"info":"⫶⩼⫲22BA≣⋋=⫶⩼⫲0","layer":1},{"info":"↔⫶⩼⫲74D=⫶⩼⫲-61A","layer":1},{"info":"⫶⩼⫲0⨎⫶⩼⫲-61A=⫶⩼⫲-61A","layer":0}]}
{"id":651,"expression_no_base_symbol":"$2793$⨪↰⇹$1000$⨽$4481$∼$2736$","expression":"⫶⩼⫲C63⨪↰⇹⫶⩼⫲46A⨽⫶⩼⫲14DB∼⫶⩼⫲C26","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5684,"operation_count":3,"complexity_ratio":1894.6666666666667,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2793,"base":15},"right_expr":{"type":"numeric_atoms","value":1000,"base":15}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":4481,"base":15},"right_expr":{"type":"numeric_atoms","value":2736,"base":15}}},"used_operators":["8HhzD0ZcuI","tmPS8pqC7x","DyGG3AbaNP"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rJVOvQCfKK","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=2793","layer":2},{"info":"number node, value=1000","layer":2},{"info":"compute binary expreesion, left_input=2793, right_input=1000, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=2793","layer":1},{"info":"number node, value=4481","layer":2},{"info":"number node, value=2736","layer":2},{"info":"compute binary expreesion, left_input=4481, right_input=2736, 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=2793, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲C63⨪↰⇹⫶⩼⫲46A⨽⫶⩼⫲14DB∼⫶⩼⫲C26=NaN","reverse_text":"NaN=⫶⩼⫲C63⨪↰⇹⫶⩼⫲46A⨽⫶⩼⫲14DB∼⫶⩼⫲C26","cot":[{"info":"⫶⩼⫲C63⨪↰⇹⫶⩼⫲46A=⫶⩼⫲C63","layer":1},{"info":"⫶⩼⫲14DB∼⫶⩼⫲C26=NaN","layer":1},{"info":"⫶⩼⫲C63⨽NaN=NaN","layer":0}]}
{"id":652,"expression_no_base_symbol":"⊥($2486$∲⫓$3592$)","expression":"⊥(⫶⩼⫲B0B∲⫓⫶⩼⫲10E7)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3,"operation_count":2,"complexity_ratio":1.5,"tree":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2486,"base":15},"right_expr":{"type":"numeric_atoms","value":3592,"base":15}}},"used_operators":["Q3PJZHRvZv","i8ToyICDmI"],"dependent_operators":["fu6greOZ01","W4YGzv6Whe","t8gj7n24qd"],"result":"⫶⩼⫲0","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=2486","layer":2},{"info":"number node, value=3592","layer":2},{"info":"compute binary expreesion, left_input=2486, right_input=3592, 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 = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=0","layer":0}],"base":15,"result_base":15,"text":"⊥(⫶⩼⫲B0B∲⫓⫶⩼⫲10E7)=⫶⩼⫲0","reverse_text":"⫶⩼⫲0=⊥(⫶⩼⫲B0B∲⫓⫶⩼⫲10E7)","cot":[{"info":"⫶⩼⫲B0B∲⫓⫶⩼⫲10E7=⫶⩼⫲0","layer":1},{"info":"⊥⫶⩼⫲0=⫶⩼⫲0","layer":0}]}
{"id":653,"expression_no_base_symbol":"(∂$2612$)⨸⪁$3577$⇷$5670$","expression":"(∂⫶⩼⫲B92)⨸⪁⫶⩼⫲10D7⇷⫶⩼⫲1A30","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":50088,"operation_count":3,"complexity_ratio":16696.0,"tree":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":2612,"base":15}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":3577,"base":15},"right_expr":{"type":"numeric_atoms","value":5670,"base":15}}},"used_operators":["g55IO6H4Gj","Uaa54Peajs","mp7IySMOzn"],"dependent_operators":["W4YGzv6Whe","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=2612","layer":2},{"info":"compute unary expreesion, input=2612, 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=3577","layer":2},{"info":"number node, value=5670","layer":2},{"info":"compute binary expreesion, left_input=3577, right_input=5670, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=11340","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=11340, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"(∂⫶⩼⫲B92)⨸⪁⫶⩼⫲10D7⇷⫶⩼⫲1A30=NaN","reverse_text":"NaN=(∂⫶⩼⫲B92)⨸⪁⫶⩼⫲10D7⇷⫶⩼⫲1A30","cot":[{"info":"∂⫶⩼⫲B92=NaN","layer":1},{"info":"⫶⩼⫲10D7⇷⫶⩼⫲1A30=⫶⩼⫲3560","layer":1},{"info":"NaN⨸⪁⫶⩼⫲3560=NaN","layer":0}]}
{"id":654,"expression_no_base_symbol":"($2635$⨵⪆$6960$)⨪↰⇹($1093$⨽$4772$)","expression":"(⫶⩼⫲BAA⨵⪆⫶⩼⫲20E0)⨪↰⇹(⫶⩼⫲4CD⨽⫶⩼⫲1632)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1263,"operation_count":3,"complexity_ratio":421.0,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2635,"base":15},"right_expr":{"type":"numeric_atoms","value":6960,"base":15}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1093,"base":15},"right_expr":{"type":"numeric_atoms","value":4772,"base":15}}},"used_operators":["tmPS8pqC7x","2DQ55sFlQl","8HhzD0ZcuI"],"dependent_operators":["rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"⫶⩼⫲AA","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2635","layer":2},{"info":"number node, value=6960","layer":2},{"info":"compute binary expreesion, left_input=2635, right_input=6960, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=1093","layer":2},{"info":"number node, value=4772","layer":2},{"info":"compute binary expreesion, left_input=1093, right_input=4772, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-3596949","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=-3596949, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=160","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲BAA⨵⪆⫶⩼⫲20E0)⨪↰⇹(⫶⩼⫲4CD⨽⫶⩼⫲1632)=⫶⩼⫲AA","reverse_text":"⫶⩼⫲AA=(⫶⩼⫲BAA⨵⪆⫶⩼⫲20E0)⨪↰⇹(⫶⩼⫲4CD⨽⫶⩼⫲1632)","cot":[{"info":"⫶⩼⫲BAA⨵⪆⫶⩼⫲20E0=⫶⩼⫲AA","layer":1},{"info":"⫶⩼⫲4CD⨽⫶⩼⫲1632=⫶⩼⫲-4B0B69","layer":1},{"info":"⫶⩼⫲AA⨪↰⇹⫶⩼⫲-4B0B69=⫶⩼⫲AA","layer":0}]}
{"id":655,"expression_no_base_symbol":"$1108$/$1351$↪⪝","expression":"⫶⩼⫲4DD/⫶⩼⫲601↪⪝","highest_n_order":2,"priority_hierarchical_complexity":1,"normalized_expansion_degree":6,"operation_count":2,"complexity_ratio":3.0,"tree":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1108,"base":15},"right_expr":{"type":"numeric_atoms","value":1351,"base":15}}},"used_operators":["l07mrZUIn9","XhwjNDsVaA"],"dependent_operators":["9HNa5Wba9A","2DDjHMKMc0","rysDP5nf3Z"],"result":"⫶⩼⫲0","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1108","layer":2},{"info":"number node, value=1351","layer":2},{"info":"compute binary expreesion, left_input=1108, right_input=1351, op_id = XhwjNDsVaA binary_op_definition= 'None', 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":15,"result_base":15,"text":"⫶⩼⫲4DD/⫶⩼⫲601↪⪝=⫶⩼⫲0","reverse_text":"⫶⩼⫲0=⫶⩼⫲4DD/⫶⩼⫲601↪⪝","cot":[{"info":"⫶⩼⫲4DD/⫶⩼⫲601=⫶⩼⫲0","layer":1},{"info":"⫶⩼⫲0↪⪝=⫶⩼⫲0","layer":0}]}
{"id":656,"expression_no_base_symbol":"$2268$⨰$1000$⨐⩸⫘($6713$↺$1010$)","expression":"⫶⩼⫲A13⨰⫶⩼⫲46A⨐⩸⫘(⫶⩼⫲1EC8↺⫶⩼⫲475)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":9,"operation_count":3,"complexity_ratio":3.0,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2268,"base":15},"right_expr":{"type":"numeric_atoms","value":1000,"base":15}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":6713,"base":15},"right_expr":{"type":"numeric_atoms","value":1010,"base":15}}},"used_operators":["fu6greOZ01","eewbuw0ToL","7j4O788W3g"],"dependent_operators":["3ViojmjbAp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=2268","layer":2},{"info":"number node, value=1000","layer":2},{"info":"compute binary expreesion, left_input=2268, right_input=1000, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1278","layer":1},{"info":"number node, value=6713","layer":2},{"info":"number node, value=1010","layer":2},{"info":"compute binary expreesion, left_input=6713, right_input=1010, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1010","layer":1},{"info":"compute binary expreesion, left_input=1278, right_input=1010, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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":15,"result_base":15,"text":"⫶⩼⫲A13⨰⫶⩼⫲46A⨐⩸⫘(⫶⩼⫲1EC8↺⫶⩼⫲475)=NaN","reverse_text":"NaN=⫶⩼⫲A13⨰⫶⩼⫲46A⨐⩸⫘(⫶⩼⫲1EC8↺⫶⩼⫲475)","cot":[{"info":"⫶⩼⫲A13⨰⫶⩼⫲46A=⫶⩼⫲5A3","layer":1},{"info":"⫶⩼⫲1EC8↺⫶⩼⫲475=⫶⩼⫲475","layer":1},{"info":"⫶⩼⫲5A3⨐⩸⫘⫶⩼⫲475=NaN","layer":0}]}
{"id":657,"expression_no_base_symbol":"($1629$⇋≉)≫≃","expression":"(⫶⩼⫲739⇋≉)≫≃","highest_n_order":2,"priority_hierarchical_complexity":1,"normalized_expansion_degree":10,"operation_count":2,"complexity_ratio":5.0,"tree":{"type":"unary","operator":"≫≃","unary_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":1629,"base":15}}},"used_operators":["X99M06cbEe","XIabStNQrY"],"dependent_operators":["2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd"],"result":"⫶⩼⫲244B","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1629","layer":2},{"info":"compute unary expreesion, input=1629, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=3160","layer":1},{"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":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲739⇋≉)≫≃=⫶⩼⫲244B","reverse_text":"⫶⩼⫲244B=(⫶⩼⫲739⇋≉)≫≃","cot":[{"info":"⫶⩼⫲739⇋≉=⫶⩼⫲E0A","layer":1},{"info":"⫶⩼⫲E0A≫≃=⫶⩼⫲244B","layer":0}]}
{"id":658,"expression_no_base_symbol":"↔($1074$⪒$2245$)","expression":"↔(⫶⩼⫲4B9⪒⫶⩼⫲9EA)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":25,"operation_count":2,"complexity_ratio":12.5,"tree":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1074,"base":15},"right_expr":{"type":"numeric_atoms","value":2245,"base":15}}},"used_operators":["ruOEQAzv1W","f6k1SAg4EE"],"dependent_operators":["XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd"],"result":"⫶⩼⫲-8E","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1074","layer":2},{"info":"number node, value=2245","layer":2},{"info":"compute binary expreesion, left_input=1074, right_input=2245, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-3319","layer":1},{"info":"compute unary expreesion, input=-3319, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":0}],"base":15,"result_base":15,"text":"↔(⫶⩼⫲4B9⪒⫶⩼⫲9EA)=⫶⩼⫲-8E","reverse_text":"⫶⩼⫲-8E=↔(⫶⩼⫲4B9⪒⫶⩼⫲9EA)","cot":[{"info":"⫶⩼⫲4B9⪒⫶⩼⫲9EA=⫶⩼⫲-EB4","layer":1},{"info":"↔⫶⩼⫲-EB4=⫶⩼⫲-8E","layer":0}]}
{"id":659,"expression_no_base_symbol":"$2722$∑⇟⊟$8130$⨓($2953$⋳⪒$1772$)","expression":"⫶⩼⫲C17∑⇟⊟⫶⩼⫲2620⨓(⫶⩼⫲D1D⋳⪒⫶⩼⫲7D2)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3861,"operation_count":3,"complexity_ratio":1287.0,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":2722,"base":15},"right_expr":{"type":"numeric_atoms","value":8130,"base":15}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2953,"base":15},"right_expr":{"type":"numeric_atoms","value":1772,"base":15}}},"used_operators":["3ViojmjbAp","U7g4x0WXJJ","12rbrZMWeM"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd"],"result":"⫶⩼⫲-121A","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2722","layer":2},{"info":"number node, value=8130","layer":2},{"info":"compute binary expreesion, left_input=2722, right_input=8130, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=2953","layer":2},{"info":"number node, value=1772","layer":2},{"info":"compute binary expreesion, left_input=2953, right_input=1772, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=3847","layer":1},{"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":0}],"base":15,"result_base":15,"text":"⫶⩼⫲C17∑⇟⊟⫶⩼⫲2620⨓(⫶⩼⫲D1D⋳⪒⫶⩼⫲7D2)=⫶⩼⫲-121A","reverse_text":"⫶⩼⫲-121A=⫶⩼⫲C17∑⇟⊟⫶⩼⫲2620⨓(⫶⩼⫲D1D⋳⪒⫶⩼⫲7D2)","cot":[{"info":"⫶⩼⫲C17∑⇟⊟⫶⩼⫲2620=NaN","layer":1},{"info":"⫶⩼⫲D1D⋳⪒⫶⩼⫲7D2=⫶⩼⫲1217","layer":1},{"info":"NaN⨓⫶⩼⫲1217=⫶⩼⫲-121A","layer":0}]}
{"id":660,"expression_no_base_symbol":"($1909$+⇶⊼$5839$)⩷∴$1472$≹⇙⪍$4339$","expression":"(⫶⩼⫲874+⇶⊼⫶⩼⫲1AE4)⩷∴⫶⩼⫲682≹⇙⪍⫶⩼⫲1444","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":8,"operation_count":3,"complexity_ratio":2.6666666666666665,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1909,"base":15},"right_expr":{"type":"numeric_atoms","value":5839,"base":15}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1472,"base":15},"right_expr":{"type":"numeric_atoms","value":4339,"base":15}}},"used_operators":["9FxExcQeMw","TpPTUOHfaN","AHs5Up7iyr"],"dependent_operators":["rysDP5nf3Z","AHs5Up7iyr","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1909","layer":2},{"info":"number node, value=5839","layer":2},{"info":"compute binary expreesion, left_input=1909, right_input=5839, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=1472","layer":2},{"info":"number node, value=4339","layer":2},{"info":"compute binary expreesion, left_input=1472, right_input=4339, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲874+⇶⊼⫶⩼⫲1AE4)⩷∴⫶⩼⫲682≹⇙⪍⫶⩼⫲1444=NaN","reverse_text":"NaN=(⫶⩼⫲874+⇶⊼⫶⩼⫲1AE4)⩷∴⫶⩼⫲682≹⇙⪍⫶⩼⫲1444","cot":[{"info":"⫶⩼⫲874+⇶⊼⫶⩼⫲1AE4=NaN","layer":1},{"info":"⫶⩼⫲682≹⇙⪍⫶⩼⫲1444=NaN","layer":1},{"info":"NaN⩷∴NaN=NaN","layer":0}]}
{"id":661,"expression_no_base_symbol":"($1099$⨎$2225$)≎⊠⪸($1336$⋷$4637$)","expression":"(⫶⩼⫲4D4⨎⫶⩼⫲9D5)≎⊠⪸(⫶⩼⫲5E1⋷⫶⩼⫲1592)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":274,"operation_count":3,"complexity_ratio":91.33333333333333,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1099,"base":15},"right_expr":{"type":"numeric_atoms","value":2225,"base":15}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1336,"base":15},"right_expr":{"type":"numeric_atoms","value":4637,"base":15}}},"used_operators":["bJkvcejdHO","rJVOvQCfKK","23Mk6UjR3U"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd"],"result":"⫶⩼⫲B591C","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1099","layer":2},{"info":"number node, value=2225","layer":2},{"info":"compute binary expreesion, left_input=1099, right_input=2225, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2225","layer":1},{"info":"number node, value=1336","layer":2},{"info":"number node, value=4637","layer":2},{"info":"compute binary expreesion, left_input=1336, right_input=4637, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=7938","layer":1},{"info":"compute binary expreesion, left_input=2225, right_input=7938, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=575802","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲4D4⨎⫶⩼⫲9D5)≎⊠⪸(⫶⩼⫲5E1⋷⫶⩼⫲1592)=⫶⩼⫲B591C","reverse_text":"⫶⩼⫲B591C=(⫶⩼⫲4D4⨎⫶⩼⫲9D5)≎⊠⪸(⫶⩼⫲5E1⋷⫶⩼⫲1592)","cot":[{"info":"⫶⩼⫲4D4⨎⫶⩼⫲9D5=⫶⩼⫲9D5","layer":1},{"info":"⫶⩼⫲5E1⋷⫶⩼⫲1592=⫶⩼⫲2543","layer":1},{"info":"⫶⩼⫲9D5≎⊠⪸⫶⩼⫲2543=⫶⩼⫲B591C","layer":0}]}
{"id":662,"expression_no_base_symbol":"($4494$⪄$2069$)⫌⩹⨱","expression":"(⫶⩼⫲14E9⪄⫶⩼⫲92E)⫌⩹⨱","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":102,"operation_count":2,"complexity_ratio":51.0,"tree":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":4494,"base":15},"right_expr":{"type":"numeric_atoms","value":2069,"base":15}}},"used_operators":["EBcxylXtPf","SUmda5xLS4"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"⫶⩼⫲-1B64A3","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=4494","layer":2},{"info":"number node, value=2069","layer":2},{"info":"compute binary expreesion, left_input=4494, right_input=2069, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-669477","layer":1},{"info":"compute unary expreesion, input=-669477, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=-1337553","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲14E9⪄⫶⩼⫲92E)⫌⩹⨱=⫶⩼⫲-1B64A3","reverse_text":"⫶⩼⫲-1B64A3=(⫶⩼⫲14E9⪄⫶⩼⫲92E)⫌⩹⨱","cot":[{"info":"⫶⩼⫲14E9⪄⫶⩼⫲92E=⫶⩼⫲-D356C","layer":1},{"info":"⫶⩼⫲-D356C⫌⩹⨱=⫶⩼⫲-1B64A3","layer":0}]}
{"id":663,"expression_no_base_symbol":"($7250$+$1862$)⩷∴($5640$⫥∨⫟$1749$)","expression":"(⫶⩼⫲2235+⫶⩼⫲842)⩷∴(⫶⩼⫲1A10⫥∨⫟⫶⩼⫲7B9)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":161,"operation_count":3,"complexity_ratio":53.666666666666664,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":7250,"base":15},"right_expr":{"type":"numeric_atoms","value":1862,"base":15}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":5640,"base":15},"right_expr":{"type":"numeric_atoms","value":1749,"base":15}}},"used_operators":["9FxExcQeMw","W4YGzv6Whe","KYD54nUTWz"],"dependent_operators":["rysDP5nf3Z","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=7250","layer":2},{"info":"number node, value=1862","layer":2},{"info":"compute binary expreesion, left_input=7250, right_input=1862, op_id = W4YGzv6Whe binary_op_definition= 'None', output=9112","layer":1},{"info":"number node, value=5640","layer":2},{"info":"number node, value=1749","layer":2},{"info":"compute binary expreesion, left_input=5640, right_input=1749, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=9112, right_input=nan, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲2235+⫶⩼⫲842)⩷∴(⫶⩼⫲1A10⫥∨⫟⫶⩼⫲7B9)=NaN","reverse_text":"NaN=(⫶⩼⫲2235+⫶⩼⫲842)⩷∴(⫶⩼⫲1A10⫥∨⫟⫶⩼⫲7B9)","cot":[{"info":"⫶⩼⫲2235+⫶⩼⫲842=⫶⩼⫲2A77","layer":1},{"info":"⫶⩼⫲1A10⫥∨⫟⫶⩼⫲7B9=NaN","layer":1},{"info":"⫶⩼⫲2A77⩷∴NaN=NaN","layer":0}]}
{"id":664,"expression_no_base_symbol":"(⊄⩳↩$1166$)⨎($2659$↺$1436$)","expression":"(⊄⩳↩⫶⩼⫲52B)⨎(⫶⩼⫲BC4↺⫶⩼⫲65B)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6,"operation_count":3,"complexity_ratio":2.0,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1166,"base":15}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2659,"base":15},"right_expr":{"type":"numeric_atoms","value":1436,"base":15}}},"used_operators":["rJVOvQCfKK","8w2t5hMYqp","7j4O788W3g"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⫶⩼⫲65B","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1166","layer":2},{"info":"compute unary expreesion, input=1166, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-3498","layer":1},{"info":"number node, value=2659","layer":2},{"info":"number node, value=1436","layer":2},{"info":"compute binary expreesion, left_input=2659, right_input=1436, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1436","layer":1},{"info":"compute binary expreesion, left_input=-3498, right_input=1436, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1436","layer":0}],"base":15,"result_base":15,"text":"(⊄⩳↩⫶⩼⫲52B)⨎(⫶⩼⫲BC4↺⫶⩼⫲65B)=⫶⩼⫲65B","reverse_text":"⫶⩼⫲65B=(⊄⩳↩⫶⩼⫲52B)⨎(⫶⩼⫲BC4↺⫶⩼⫲65B)","cot":[{"info":"⊄⩳↩⫶⩼⫲52B=⫶⩼⫲-1083","layer":1},{"info":"⫶⩼⫲BC4↺⫶⩼⫲65B=⫶⩼⫲65B","layer":1},{"info":"⫶⩼⫲-1083⨎⫶⩼⫲65B=⫶⩼⫲65B","layer":0}]}
{"id":665,"expression_no_base_symbol":"$1625$≹⇙⪍$2014$⨟⋌⩍(↔$4562$)","expression":"⫶⩼⫲735≹⇙⪍⫶⩼⫲8E4⨟⋌⩍(↔⫶⩼⫲1542)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":9,"operation_count":3,"complexity_ratio":3.0,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1625,"base":15},"right_expr":{"type":"numeric_atoms","value":2014,"base":15}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":4562,"base":15}}},"used_operators":["rGHVDoGpnC","AHs5Up7iyr","ruOEQAzv1W"],"dependent_operators":["Tcnh7f0tEr","dWAJyo7jo9","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1625","layer":2},{"info":"number node, value=2014","layer":2},{"info":"compute binary expreesion, left_input=1625, right_input=2014, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"number node, value=4562","layer":2},{"info":"compute unary expreesion, input=4562, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-4289","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-4289, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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":15,"result_base":15,"text":"⫶⩼⫲735≹⇙⪍⫶⩼⫲8E4⨟⋌⩍(↔⫶⩼⫲1542)=NaN","reverse_text":"NaN=⫶⩼⫲735≹⇙⪍⫶⩼⫲8E4⨟⋌⩍(↔⫶⩼⫲1542)","cot":[{"info":"⫶⩼⫲735≹⇙⪍⫶⩼⫲8E4=NaN","layer":1},{"info":"↔⫶⩼⫲1542=⫶⩼⫲-140E","layer":1},{"info":"NaN⨟⋌⩍⫶⩼⫲-140E=NaN","layer":0}]}
{"id":666,"expression_no_base_symbol":"($1962$⊭↱$1589$)↙($6116$*$4380$)","expression":"(⫶⩼⫲8AC⊭↱⫶⩼⫲70E)↙(⫶⩼⫲1C2B*⫶⩼⫲1470)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4387,"operation_count":3,"complexity_ratio":1462.3333333333333,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1962,"base":15},"right_expr":{"type":"numeric_atoms","value":1589,"base":15}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":6116,"base":15},"right_expr":{"type":"numeric_atoms","value":4380,"base":15}}},"used_operators":["yyfyN0ffXY","COABgblf1C","9HNa5Wba9A"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe"],"result":"⫶⩼⫲-346","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1962","layer":2},{"info":"number node, value=1589","layer":2},{"info":"compute binary expreesion, left_input=1962, right_input=1589, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-741","layer":1},{"info":"number node, value=6116","layer":2},{"info":"number node, value=4380","layer":2},{"info":"compute binary expreesion, left_input=6116, right_input=4380, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=26788080","layer":1},{"info":"compute binary expreesion, left_input=-741, right_input=26788080, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-741","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲8AC⊭↱⫶⩼⫲70E)↙(⫶⩼⫲1C2B*⫶⩼⫲1470)=⫶⩼⫲-346","reverse_text":"⫶⩼⫲-346=(⫶⩼⫲8AC⊭↱⫶⩼⫲70E)↙(⫶⩼⫲1C2B*⫶⩼⫲1470)","cot":[{"info":"⫶⩼⫲8AC⊭↱⫶⩼⫲70E=⫶⩼⫲-346","layer":1},{"info":"⫶⩼⫲1C2B*⫶⩼⫲1470=⫶⩼⫲2542320","layer":1},{"info":"⫶⩼⫲-346↙⫶⩼⫲2542320=⫶⩼⫲-346","layer":0}]}
{"id":667,"expression_no_base_symbol":"(⪝⪂⫅$3043$)∲⫓$6952$⨪↰⇹$1212$","expression":"(⪝⪂⫅⫶⩼⫲D7D)∲⫓⫶⩼⫲20D7⨪↰⇹⫶⩼⫲55C","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":7104,"operation_count":3,"complexity_ratio":2368.0,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":3043,"base":15}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":6952,"base":15},"right_expr":{"type":"numeric_atoms","value":1212,"base":15}}},"used_operators":["i8ToyICDmI","XTarYq4gQB","tmPS8pqC7x"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","rJVOvQCfKK"],"result":"⫶⩼⫲0","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=3043","layer":2},{"info":"compute unary expreesion, input=3043, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-447321","layer":1},{"info":"number node, value=6952","layer":2},{"info":"number node, value=1212","layer":2},{"info":"compute binary expreesion, left_input=6952, right_input=1212, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=6952","layer":1},{"info":"compute binary expreesion, left_input=-447321, right_input=6952, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":0}],"base":15,"result_base":15,"text":"(⪝⪂⫅⫶⩼⫲D7D)∲⫓⫶⩼⫲20D7⨪↰⇹⫶⩼⫲55C=⫶⩼⫲0","reverse_text":"⫶⩼⫲0=(⪝⪂⫅⫶⩼⫲D7D)∲⫓⫶⩼⫲20D7⨪↰⇹⫶⩼⫲55C","cot":[{"info":"⪝⪂⫅⫶⩼⫲D7D=⫶⩼⫲-8C816","layer":1},{"info":"⫶⩼⫲20D7⨪↰⇹⫶⩼⫲55C=⫶⩼⫲20D7","layer":1},{"info":"⫶⩼⫲-8C816∲⫓⫶⩼⫲20D7=⫶⩼⫲0","layer":0}]}
{"id":668,"expression_no_base_symbol":"$1233$↙$1111$⨵⪆(↩$1212$)","expression":"⫶⩼⫲573↙⫶⩼⫲4E1⨵⪆(↩⫶⩼⫲55C)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1131,"operation_count":3,"complexity_ratio":377.0,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1233,"base":15},"right_expr":{"type":"numeric_atoms","value":1111,"base":15}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":1212,"base":15}}},"used_operators":["2DQ55sFlQl","yyfyN0ffXY","jLgFTUHLKL"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D"],"result":"⫶⩼⫲AA","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1233","layer":2},{"info":"number node, value=1111","layer":2},{"info":"compute binary expreesion, left_input=1233, right_input=1111, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3333","layer":1},{"info":"number node, value=1212","layer":2},{"info":"compute unary expreesion, input=1212, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-6916","layer":1},{"info":"compute binary expreesion, left_input=-3333, right_input=-6916, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲573↙⫶⩼⫲4E1⨵⪆(↩⫶⩼⫲55C)=⫶⩼⫲AA","reverse_text":"⫶⩼⫲AA=⫶⩼⫲573↙⫶⩼⫲4E1⨵⪆(↩⫶⩼⫲55C)","cot":[{"info":"⫶⩼⫲573↙⫶⩼⫲4E1=⫶⩼⫲-EC3","layer":1},{"info":"↩⫶⩼⫲55C=⫶⩼⫲-20B1","layer":1},{"info":"⫶⩼⫲-EC3⨵⪆⫶⩼⫲-20B1=⫶⩼⫲AA","layer":0}]}
{"id":669,"expression_no_base_symbol":"≦∁($2400$⫡⨏$5789$)","expression":"≦∁(⫶⩼⫲AA0⫡⨏⫶⩼⫲1AAE)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":8,"operation_count":2,"complexity_ratio":4.0,"tree":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2400,"base":15},"right_expr":{"type":"numeric_atoms","value":5789,"base":15}}},"used_operators":["9ICcGScMcE","QMFrweE19q"],"dependent_operators":["XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","t8gj7n24qd"],"result":"⫶⩼⫲7341","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=2400","layer":2},{"info":"number node, value=5789","layer":2},{"info":"compute binary expreesion, left_input=2400, right_input=5789, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=24361","layer":1},{"info":"compute unary expreesion, input=24361, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=24361","layer":0}],"base":15,"result_base":15,"text":"≦∁(⫶⩼⫲AA0⫡⨏⫶⩼⫲1AAE)=⫶⩼⫲7341","reverse_text":"⫶⩼⫲7341=≦∁(⫶⩼⫲AA0⫡⨏⫶⩼⫲1AAE)","cot":[{"info":"⫶⩼⫲AA0⫡⨏⫶⩼⫲1AAE=⫶⩼⫲7341","layer":1},{"info":"≦∁⫶⩼⫲7341=⫶⩼⫲7341","layer":0}]}
{"id":670,"expression_no_base_symbol":"$1749$≹⇙⪍$4772$⫩⊇","expression":"⫶⩼⫲7B9≹⇙⪍⫶⩼⫲1632⫩⊇","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3,"operation_count":2,"complexity_ratio":1.5,"tree":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1749,"base":15},"right_expr":{"type":"numeric_atoms","value":4772,"base":15}}},"used_operators":["BjRHVeLaeN","AHs5Up7iyr"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1749","layer":2},{"info":"number node, value=4772","layer":2},{"info":"compute binary expreesion, left_input=1749, right_input=4772, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲7B9≹⇙⪍⫶⩼⫲1632⫩⊇=NaN","reverse_text":"NaN=⫶⩼⫲7B9≹⇙⪍⫶⩼⫲1632⫩⊇","cot":[{"info":"⫶⩼⫲7B9≹⇙⪍⫶⩼⫲1632=NaN","layer":1},{"info":"NaN⫩⊇=NaN","layer":0}]}
{"id":671,"expression_no_base_symbol":"⊄⩳↩(⫓⪴$1436$)","expression":"⊄⩳↩(⫓⪴⫶⩼⫲65B)","highest_n_order":2,"priority_hierarchical_complexity":1,"normalized_expansion_degree":1439,"operation_count":2,"complexity_ratio":719.5,"tree":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":1436,"base":15}}},"used_operators":["8w2t5hMYqp","eLxqMNBOBk"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A"],"result":"⫶⩼⫲-822E93","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1436","layer":2},{"info":"compute unary expreesion, input=1436, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=2062096","layer":1},{"info":"compute unary expreesion, input=2062096, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-6186288","layer":0}],"base":15,"result_base":15,"text":"⊄⩳↩(⫓⪴⫶⩼⫲65B)=⫶⩼⫲-822E93","reverse_text":"⫶⩼⫲-822E93=⊄⩳↩(⫓⪴⫶⩼⫲65B)","cot":[{"info":"⫓⪴⫶⩼⫲65B=⫶⩼⫲2AAED1","layer":1},{"info":"⊄⩳↩⫶⩼⫲2AAED1=⫶⩼⫲-822E93","layer":0}]}
{"id":672,"expression_no_base_symbol":"$2650$-$3228$⋷$1432$-$1713$","expression":"⫶⩼⫲BBA-⫶⩼⫲E53⋷⫶⩼⫲657-⫶⩼⫲793","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4,"operation_count":3,"complexity_ratio":1.3333333333333333,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2650,"base":15},"right_expr":{"type":"numeric_atoms","value":3228,"base":15}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1432,"base":15},"right_expr":{"type":"numeric_atoms","value":1713,"base":15}}},"used_operators":["23Mk6UjR3U","rysDP5nf3Z"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd"],"result":"⫶⩼⫲521","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2650","layer":2},{"info":"number node, value=3228","layer":2},{"info":"compute binary expreesion, left_input=2650, right_input=3228, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-578","layer":1},{"info":"number node, value=1432","layer":2},{"info":"number node, value=1713","layer":2},{"info":"compute binary expreesion, left_input=1432, right_input=1713, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-281","layer":1},{"info":"compute binary expreesion, left_input=-578, right_input=-281, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=1156","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲BBA-⫶⩼⫲E53⋷⫶⩼⫲657-⫶⩼⫲793=⫶⩼⫲521","reverse_text":"⫶⩼⫲521=⫶⩼⫲BBA-⫶⩼⫲E53⋷⫶⩼⫲657-⫶⩼⫲793","cot":[{"info":"⫶⩼⫲BBA-⫶⩼⫲E53=⫶⩼⫲-288","layer":1},{"info":"⫶⩼⫲657-⫶⩼⫲793=⫶⩼⫲-13B","layer":1},{"info":"⫶⩼⫲-288⋷⫶⩼⫲-13B=⫶⩼⫲521","layer":0}]}
{"id":673,"expression_no_base_symbol":"($1234$≧⫂∧$1615$)⨪↰⇹$3779$⪛$2112$","expression":"(⫶⩼⫲574≧⫂∧⫶⩼⫲72A)⨪↰⇹⫶⩼⫲11BE⪛⫶⩼⫲95C","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1147,"operation_count":3,"complexity_ratio":382.3333333333333,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1234,"base":15},"right_expr":{"type":"numeric_atoms","value":1615,"base":15}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":3779,"base":15},"right_expr":{"type":"numeric_atoms","value":2112,"base":15}}},"used_operators":["tmPS8pqC7x","Ph9nP6C5qx","uFcxV4UQCh"],"dependent_operators":["rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"⫶⩼⫲512","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1234","layer":2},{"info":"number node, value=1615","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=1615, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1142","layer":1},{"info":"number node, value=3779","layer":2},{"info":"number node, value=2112","layer":2},{"info":"compute binary expreesion, left_input=3779, right_input=2112, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1667","layer":1},{"info":"compute binary expreesion, left_input=1142, right_input=1667, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1142","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲574≧⫂∧⫶⩼⫲72A)⨪↰⇹⫶⩼⫲11BE⪛⫶⩼⫲95C=⫶⩼⫲512","reverse_text":"⫶⩼⫲512=(⫶⩼⫲574≧⫂∧⫶⩼⫲72A)⨪↰⇹⫶⩼⫲11BE⪛⫶⩼⫲95C","cot":[{"info":"⫶⩼⫲574≧⫂∧⫶⩼⫲72A=⫶⩼⫲512","layer":1},{"info":"⫶⩼⫲11BE⪛⫶⩼⫲95C=⫶⩼⫲762","layer":1},{"info":"⫶⩼⫲512⨪↰⇹⫶⩼⫲762=⫶⩼⫲512","layer":0}]}
{"id":674,"expression_no_base_symbol":"($1364$∧)∸","expression":"(⫶⩼⫲60E∧)∸","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":183,"operation_count":2,"complexity_ratio":91.5,"tree":{"type":"unary","operator":"∸","unary_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":1364,"base":15}}},"used_operators":["o20kRiQErp","z63VuFQld9"],"dependent_operators":["tmPS8pqC7x","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr"],"result":"⫶⩼⫲BC","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1364","layer":2},{"info":"compute unary expreesion, input=1364, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲60E∧)∸=⫶⩼⫲BC","reverse_text":"⫶⩼⫲BC=(⫶⩼⫲60E∧)∸","cot":[{"info":"⫶⩼⫲60E∧=NaN","layer":1},{"info":"NaN∸=⫶⩼⫲BC","layer":0}]}
{"id":675,"expression_no_base_symbol":"($1761$⇼⇔∾$1191$)∼($3933$⋝⋈⪟$2150$)","expression":"(⫶⩼⫲7C6⇼⇔∾⫶⩼⫲546)∼(⫶⩼⫲1273⋝⋈⪟⫶⩼⫲985)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":18,"operation_count":3,"complexity_ratio":6.0,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1761,"base":15},"right_expr":{"type":"numeric_atoms","value":1191,"base":15}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":3933,"base":15},"right_expr":{"type":"numeric_atoms","value":2150,"base":15}}},"used_operators":["DyGG3AbaNP","tifHPKVTfV","2DDjHMKMc0"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1761","layer":2},{"info":"number node, value=1191","layer":2},{"info":"compute binary expreesion, left_input=1761, right_input=1191, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-570","layer":1},{"info":"number node, value=3933","layer":2},{"info":"number node, value=2150","layer":2},{"info":"compute binary expreesion, left_input=3933, right_input=2150, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3933","layer":1},{"info":"compute binary expreesion, left_input=-570, right_input=3933, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲7C6⇼⇔∾⫶⩼⫲546)∼(⫶⩼⫲1273⋝⋈⪟⫶⩼⫲985)=NaN","reverse_text":"NaN=(⫶⩼⫲7C6⇼⇔∾⫶⩼⫲546)∼(⫶⩼⫲1273⋝⋈⪟⫶⩼⫲985)","cot":[{"info":"⫶⩼⫲7C6⇼⇔∾⫶⩼⫲546=⫶⩼⫲-280","layer":1},{"info":"⫶⩼⫲1273⋝⋈⪟⫶⩼⫲985=⫶⩼⫲1273","layer":1},{"info":"⫶⩼⫲-280∼⫶⩼⫲1273=NaN","layer":0}]}
{"id":676,"expression_no_base_symbol":"($4303$≎⊠⪸$7684$)∑⇟⊟(⊙↵-$4512$)","expression":"(⫶⩼⫲141D≎⊠⪸⫶⩼⫲2424)∑⇟⊟(⊙↵-⫶⩼⫲150C)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1118832,"operation_count":3,"complexity_ratio":372944.0,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":4303,"base":15},"right_expr":{"type":"numeric_atoms","value":7684,"base":15}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":4512,"base":15}}},"used_operators":["U7g4x0WXJJ","bJkvcejdHO","oWn0xqSxBt"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X"],"result":"⫶⩼⫲0","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=4303","layer":2},{"info":"number node, value=7684","layer":2},{"info":"compute binary expreesion, left_input=4303, right_input=7684, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1114004","layer":1},{"info":"number node, value=4512","layer":2},{"info":"compute unary expreesion, input=4512, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":1},{"info":"compute binary expreesion, left_input=1114004, right_input=-1, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=0","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲141D≎⊠⪸⫶⩼⫲2424)∑⇟⊟(⊙↵-⫶⩼⫲150C)=⫶⩼⫲0","reverse_text":"⫶⩼⫲0=(⫶⩼⫲141D≎⊠⪸⫶⩼⫲2424)∑⇟⊟(⊙↵-⫶⩼⫲150C)","cot":[{"info":"⫶⩼⫲141D≎⊠⪸⫶⩼⫲2424=⫶⩼⫲17011E","layer":1},{"info":"⊙↵-⫶⩼⫲150C=⫶⩼⫲-1","layer":1},{"info":"⫶⩼⫲17011E∑⇟⊟⫶⩼⫲-1=⫶⩼⫲0","layer":0}]}
{"id":677,"expression_no_base_symbol":"≉(⨰⫟⨤$6281$)","expression":"≉(⨰⫟⨤⫶⩼⫲1CDB)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":24285,"operation_count":2,"complexity_ratio":12142.5,"tree":{"type":"unary","operator":"≉","unary_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":6281,"base":15}}},"used_operators":["e1ybzncUwg","Tw270M8GLb"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=6281","layer":2},{"info":"compute unary expreesion, input=6281, 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 = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=nan","layer":0}],"base":15,"result_base":15,"text":"≉(⨰⫟⨤⫶⩼⫲1CDB)=NaN","reverse_text":"NaN=≉(⨰⫟⨤⫶⩼⫲1CDB)","cot":[{"info":"⨰⫟⨤⫶⩼⫲1CDB=NaN","layer":1},{"info":"≉NaN=NaN","layer":0}]}
{"id":678,"expression_no_base_symbol":"($7601$⋳⪒$2715$)⊴($5723$≋⫹)","expression":"(⫶⩼⫲23BB⋳⪒⫶⩼⫲C10)⊴(⫶⩼⫲1A68≋⫹)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":11788,"operation_count":3,"complexity_ratio":3929.3333333333335,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":7601,"base":15},"right_expr":{"type":"numeric_atoms","value":2715,"base":15}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":5723,"base":15}}},"used_operators":["Nsiff2A1zJ","12rbrZMWeM","N41Kp7NANJ"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=7601","layer":2},{"info":"number node, value=2715","layer":2},{"info":"compute binary expreesion, left_input=7601, right_input=2715, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=12200","layer":1},{"info":"number node, value=5723","layer":2},{"info":"compute unary expreesion, input=5723, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-11446","layer":1},{"info":"compute binary expreesion, left_input=12200, right_input=-11446, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲23BB⋳⪒⫶⩼⫲C10)⊴(⫶⩼⫲1A68≋⫹)=NaN","reverse_text":"NaN=(⫶⩼⫲23BB⋳⪒⫶⩼⫲C10)⊴(⫶⩼⫲1A68≋⫹)","cot":[{"info":"⫶⩼⫲23BB⋳⪒⫶⩼⫲C10=⫶⩼⫲3935","layer":1},{"info":"⫶⩼⫲1A68≋⫹=⫶⩼⫲-35D1","layer":1},{"info":"⫶⩼⫲3935⊴⫶⩼⫲-35D1=NaN","layer":0}]}
{"id":679,"expression_no_base_symbol":"$1600$⋥≓≎$2642$⊉≛↸$5053$⨐⩸⫘$2688$","expression":"⫶⩼⫲71A⋥≓≎⫶⩼⫲BB2⊉≛↸⫶⩼⫲176D⨐⩸⫘⫶⩼⫲BE3","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":7,"operation_count":3,"complexity_ratio":2.3333333333333335,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1600,"base":15},"right_expr":{"type":"numeric_atoms","value":2642,"base":15}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":5053,"base":15},"right_expr":{"type":"numeric_atoms","value":2688,"base":15}}},"used_operators":["DZ8iAZOCBD","Qy55tPpLXF","fu6greOZ01"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp"],"result":"⫶⩼⫲2309","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1600","layer":2},{"info":"number node, value=2642","layer":2},{"info":"compute binary expreesion, left_input=1600, right_input=2642, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=3717","layer":1},{"info":"number node, value=5053","layer":2},{"info":"number node, value=2688","layer":2},{"info":"compute binary expreesion, left_input=5053, right_input=2688, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=3717, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=7434","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲71A⋥≓≎⫶⩼⫲BB2⊉≛↸⫶⩼⫲176D⨐⩸⫘⫶⩼⫲BE3=⫶⩼⫲2309","reverse_text":"⫶⩼⫲2309=⫶⩼⫲71A⋥≓≎⫶⩼⫲BB2⊉≛↸⫶⩼⫲176D⨐⩸⫘⫶⩼⫲BE3","cot":[{"info":"⫶⩼⫲71A⋥≓≎⫶⩼⫲BB2=⫶⩼⫲117C","layer":1},{"info":"⫶⩼⫲176D⨐⩸⫘⫶⩼⫲BE3=NaN","layer":1},{"info":"⫶⩼⫲117C⊉≛↸NaN=⫶⩼⫲2309","layer":0}]}
{"id":680,"expression_no_base_symbol":"($2104$⫡⨏$1416$)⨰($4158$⋥≓≎$2330$)","expression":"(⫶⩼⫲954⫡⨏⫶⩼⫲646)⨰(⫶⩼⫲1373⋥≓≎⫶⩼⫲A55)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":17,"operation_count":3,"complexity_ratio":5.666666666666667,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2104,"base":15},"right_expr":{"type":"numeric_atoms","value":1416,"base":15}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":4158,"base":15},"right_expr":{"type":"numeric_atoms","value":2330,"base":15}}},"used_operators":["eewbuw0ToL","QMFrweE19q","Qy55tPpLXF"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⫶⩼⫲4075","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2104","layer":2},{"info":"number node, value=1416","layer":2},{"info":"compute binary expreesion, left_input=2104, right_input=1416, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=14135","layer":1},{"info":"number node, value=4158","layer":2},{"info":"number node, value=2330","layer":2},{"info":"compute binary expreesion, left_input=4158, right_input=2330, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=535","layer":1},{"info":"compute binary expreesion, left_input=14135, right_input=535, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=13610","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲954⫡⨏⫶⩼⫲646)⨰(⫶⩼⫲1373⋥≓≎⫶⩼⫲A55)=⫶⩼⫲4075","reverse_text":"⫶⩼⫲4075=(⫶⩼⫲954⫡⨏⫶⩼⫲646)⨰(⫶⩼⫲1373⋥≓≎⫶⩼⫲A55)","cot":[{"info":"⫶⩼⫲954⫡⨏⫶⩼⫲646=⫶⩼⫲42C5","layer":1},{"info":"⫶⩼⫲1373⋥≓≎⫶⩼⫲A55=⫶⩼⫲25A","layer":1},{"info":"⫶⩼⫲42C5⨰⫶⩼⫲25A=⫶⩼⫲4075","layer":0}]}
{"id":681,"expression_no_base_symbol":"(↯⪼$5844$)⊭↱($3508$∸)","expression":"(↯⪼⫶⩼⫲1AE9)⊭↱(⫶⩼⫲108D∸)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":214,"operation_count":3,"complexity_ratio":71.33333333333333,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":5844,"base":15}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":3508,"base":15}}},"used_operators":["COABgblf1C","8jW3W4yZS5","o20kRiQErp"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","tmPS8pqC7x"],"result":"⫶⩼⫲1BB","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=5844","layer":2},{"info":"compute unary expreesion, input=5844, 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=3508","layer":2},{"info":"compute unary expreesion, input=3508, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":1},{"info":"compute binary expreesion, left_input=-21, right_input=177, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=401","layer":0}],"base":15,"result_base":15,"text":"(↯⪼⫶⩼⫲1AE9)⊭↱(⫶⩼⫲108D∸)=⫶⩼⫲1BB","reverse_text":"⫶⩼⫲1BB=(↯⪼⫶⩼⫲1AE9)⊭↱(⫶⩼⫲108D∸)","cot":[{"info":"↯⪼⫶⩼⫲1AE9=⫶⩼⫲-16","layer":1},{"info":"⫶⩼⫲108D∸=⫶⩼⫲BC","layer":1},{"info":"⫶⩼⫲-16⊭↱⫶⩼⫲BC=⫶⩼⫲1BB","layer":0}]}
{"id":682,"expression_no_base_symbol":"($1007$≋⫹)↙(≦∁$2261$)","expression":"(⫶⩼⫲472≋⫹)↙(≦∁⫶⩼⫲A0B)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5,"operation_count":3,"complexity_ratio":1.6666666666666667,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":1007,"base":15}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":2261,"base":15}}},"used_operators":["yyfyN0ffXY","N41Kp7NANJ","9ICcGScMcE"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"⫶⩼⫲-8E4","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1007","layer":2},{"info":"compute unary expreesion, input=1007, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-2014","layer":1},{"info":"number node, value=2261","layer":2},{"info":"compute unary expreesion, input=2261, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=2261","layer":1},{"info":"compute binary expreesion, left_input=-2014, right_input=2261, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-2014","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲472≋⫹)↙(≦∁⫶⩼⫲A0B)=⫶⩼⫲-8E4","reverse_text":"⫶⩼⫲-8E4=(⫶⩼⫲472≋⫹)↙(≦∁⫶⩼⫲A0B)","cot":[{"info":"⫶⩼⫲472≋⫹=⫶⩼⫲-8E4","layer":1},{"info":"≦∁⫶⩼⫲A0B=⫶⩼⫲A0B","layer":1},{"info":"⫶⩼⫲-8E4↙⫶⩼⫲A0B=⫶⩼⫲-8E4","layer":0}]}
{"id":683,"expression_no_base_symbol":"($1028$⊘)↛⩡⫤","expression":"(⫶⩼⫲488⊘)↛⩡⫤","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":85,"operation_count":2,"complexity_ratio":42.5,"tree":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":1028,"base":15}}},"used_operators":["FU0Cs4j7VP","gu96TGCTMs"],"dependent_operators":["8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D"],"result":"⫶⩼⫲0","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1028","layer":2},{"info":"compute unary expreesion, input=1028, 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 = 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":15,"result_base":15,"text":"(⫶⩼⫲488⊘)↛⩡⫤=⫶⩼⫲0","reverse_text":"⫶⩼⫲0=(⫶⩼⫲488⊘)↛⩡⫤","cot":[{"info":"⫶⩼⫲488⊘=⫶⩼⫲0","layer":1},{"info":"⫶⩼⫲0↛⩡⫤=⫶⩼⫲0","layer":0}]}
{"id":684,"expression_no_base_symbol":"(⨰⫟⨤$3717$)⨓(⊙↵-$2000$)","expression":"(⨰⫟⨤⫶⩼⫲117C)⨓(⊙↵-⫶⩼⫲8D5)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":16081,"operation_count":3,"complexity_ratio":5360.333333333333,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":3717,"base":15}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":2000,"base":15}}},"used_operators":["3ViojmjbAp","Tw270M8GLb","oWn0xqSxBt"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X"],"result":"⫶⩼⫲-4","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=3717","layer":2},{"info":"compute unary expreesion, input=3717, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":1},{"info":"number node, value=2000","layer":2},{"info":"compute unary expreesion, input=2000, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-1, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-4","layer":0}],"base":15,"result_base":15,"text":"(⨰⫟⨤⫶⩼⫲117C)⨓(⊙↵-⫶⩼⫲8D5)=⫶⩼⫲-4","reverse_text":"⫶⩼⫲-4=(⨰⫟⨤⫶⩼⫲117C)⨓(⊙↵-⫶⩼⫲8D5)","cot":[{"info":"⨰⫟⨤⫶⩼⫲117C=NaN","layer":1},{"info":"⊙↵-⫶⩼⫲8D5=⫶⩼⫲-1","layer":1},{"info":"NaN⨓⫶⩼⫲-1=⫶⩼⫲-4","layer":0}]}
{"id":685,"expression_no_base_symbol":"($4797$∲⫓$6998$)⫸⊐($1450$∧)","expression":"(⫶⩼⫲164C∲⫓⫶⩼⫲2118)⫸⊐(⫶⩼⫲66A∧)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":12,"operation_count":3,"complexity_ratio":4.0,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":4797,"base":15},"right_expr":{"type":"numeric_atoms","value":6998,"base":15}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":1450,"base":15}}},"used_operators":["mqXw5SEYmG","i8ToyICDmI","z63VuFQld9"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr"],"result":"⫶⩼⫲0","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=4797","layer":2},{"info":"number node, value=6998","layer":2},{"info":"compute binary expreesion, left_input=4797, right_input=6998, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":1},{"info":"number node, value=1450","layer":2},{"info":"compute unary expreesion, input=1450, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=0","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲164C∲⫓⫶⩼⫲2118)⫸⊐(⫶⩼⫲66A∧)=⫶⩼⫲0","reverse_text":"⫶⩼⫲0=(⫶⩼⫲164C∲⫓⫶⩼⫲2118)⫸⊐(⫶⩼⫲66A∧)","cot":[{"info":"⫶⩼⫲164C∲⫓⫶⩼⫲2118=⫶⩼⫲0","layer":1},{"info":"⫶⩼⫲66A∧=NaN","layer":1},{"info":"⫶⩼⫲0⫸⊐NaN=⫶⩼⫲0","layer":0}]}
{"id":686,"expression_no_base_symbol":"($6912$⨸⪁$1746$)≧⫂∧($1120$⫩⊇)","expression":"(⫶⩼⫲20AC⨸⪁⫶⩼⫲7B6)≧⫂∧(⫶⩼⫲4EA⫩⊇)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7,"operation_count":3,"complexity_ratio":2.3333333333333335,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":6912,"base":15},"right_expr":{"type":"numeric_atoms","value":1746,"base":15}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":1120,"base":15}}},"used_operators":["Ph9nP6C5qx","g55IO6H4Gj","BjRHVeLaeN"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⫶⩼⫲56B4","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=6912","layer":2},{"info":"number node, value=1746","layer":2},{"info":"compute binary expreesion, left_input=6912, right_input=1746, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=17316","layer":1},{"info":"number node, value=1120","layer":2},{"info":"compute unary expreesion, input=1120, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-1078","layer":1},{"info":"compute binary expreesion, left_input=17316, right_input=-1078, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=18394","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲20AC⨸⪁⫶⩼⫲7B6)≧⫂∧(⫶⩼⫲4EA⫩⊇)=⫶⩼⫲56B4","reverse_text":"⫶⩼⫲56B4=(⫶⩼⫲20AC⨸⪁⫶⩼⫲7B6)≧⫂∧(⫶⩼⫲4EA⫩⊇)","cot":[{"info":"⫶⩼⫲20AC⨸⪁⫶⩼⫲7B6=⫶⩼⫲51E6","layer":1},{"info":"⫶⩼⫲4EA⫩⊇=⫶⩼⫲-4BD","layer":1},{"info":"⫶⩼⫲51E6≧⫂∧⫶⩼⫲-4BD=⫶⩼⫲56B4","layer":0}]}
{"id":687,"expression_no_base_symbol":"$5717$⪢$4727$⨳⩥⨓(⨈⫕$3427$)","expression":"⫶⩼⫲1A62⪢⫶⩼⫲1602⨳⩥⨓(⨈⫕⫶⩼⫲1037)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":16103,"operation_count":3,"complexity_ratio":5367.666666666667,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":5717,"base":15},"right_expr":{"type":"numeric_atoms","value":4727,"base":15}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":3427,"base":15}}},"used_operators":["nCS4ZIUYfx","dWAJyo7jo9","megm06wKyl"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","k8jYdgA6NY","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=5717","layer":2},{"info":"number node, value=4727","layer":2},{"info":"compute binary expreesion, left_input=5717, right_input=4727, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=3427","layer":2},{"info":"compute unary expreesion, input=3427, 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":15,"result_base":15,"text":"⫶⩼⫲1A62⪢⫶⩼⫲1602⨳⩥⨓(⨈⫕⫶⩼⫲1037)=NaN","reverse_text":"NaN=⫶⩼⫲1A62⪢⫶⩼⫲1602⨳⩥⨓(⨈⫕⫶⩼⫲1037)","cot":[{"info":"⫶⩼⫲1A62⪢⫶⩼⫲1602=NaN","layer":1},{"info":"⨈⫕⫶⩼⫲1037=⫶⩼⫲-16","layer":1},{"info":"NaN⨳⩥⨓⫶⩼⫲-16=NaN","layer":0}]}
{"id":688,"expression_no_base_symbol":"(⨰⫟⨤$3003$)+⇶⊼(≉$2078$)","expression":"(⨰⫟⨤⫶⩼⫲D53)+⇶⊼(≉⫶⩼⫲938)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":11175,"operation_count":3,"complexity_ratio":3725.0,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":3003,"base":15}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":2078,"base":15}}},"used_operators":["TpPTUOHfaN","Tw270M8GLb","e1ybzncUwg"],"dependent_operators":["AHs5Up7iyr","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=3003","layer":2},{"info":"compute unary expreesion, input=3003, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":1},{"info":"number node, value=2078","layer":2},{"info":"compute unary expreesion, input=2078, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=2609","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2609, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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":15,"result_base":15,"text":"(⨰⫟⨤⫶⩼⫲D53)+⇶⊼(≉⫶⩼⫲938)=NaN","reverse_text":"NaN=(⨰⫟⨤⫶⩼⫲D53)+⇶⊼(≉⫶⩼⫲938)","cot":[{"info":"⨰⫟⨤⫶⩼⫲D53=NaN","layer":1},{"info":"≉⫶⩼⫲938=⫶⩼⫲B8E","layer":1},{"info":"NaN+⇶⊼⫶⩼⫲B8E=NaN","layer":0}]}
{"id":689,"expression_no_base_symbol":"($4048$↪⪝)∑⇟⊟(⨑⩽⪐$6235$)","expression":"(⫶⩼⫲12ED↪⪝)∑⇟⊟(⨑⩽⪐⫶⩼⫲1CAA)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":705,"operation_count":3,"complexity_ratio":235.0,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":4048,"base":15}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":6235,"base":15}}},"used_operators":["U7g4x0WXJJ","l07mrZUIn9","AF7qkfDlqP"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","9HNa5Wba9A","2DDjHMKMc0","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=4048","layer":2},{"info":"compute unary expreesion, input=4048, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=247664736","layer":1},{"info":"number node, value=6235","layer":2},{"info":"compute unary expreesion, input=6235, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-5962","layer":1},{"info":"compute binary expreesion, left_input=247664736, right_input=-5962, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲12ED↪⪝)∑⇟⊟(⨑⩽⪐⫶⩼⫲1CAA)=NaN","reverse_text":"NaN=(⫶⩼⫲12ED↪⪝)∑⇟⊟(⨑⩽⪐⫶⩼⫲1CAA)","cot":[{"info":"⫶⩼⫲12ED↪⪝=⫶⩼⫲16B22226","layer":1},{"info":"⨑⩽⪐⫶⩼⫲1CAA=⫶⩼⫲-1B77","layer":1},{"info":"⫶⩼⫲16B22226∑⇟⊟⫶⩼⫲-1B77=NaN","layer":0}]}
{"id":690,"expression_no_base_symbol":"(⊥$5089$)↛⩡⫤","expression":"(⊥⫶⩼⫲1794)↛⩡⫤","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":64,"operation_count":2,"complexity_ratio":32.0,"tree":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":5089,"base":15}}},"used_operators":["FU0Cs4j7VP","Q3PJZHRvZv"],"dependent_operators":["8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","fu6greOZ01"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=5089","layer":2},{"info":"compute unary expreesion, input=5089, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', 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":15,"result_base":15,"text":"(⊥⫶⩼⫲1794)↛⩡⫤=NaN","reverse_text":"NaN=(⊥⫶⩼⫲1794)↛⩡⫤","cot":[{"info":"⊥⫶⩼⫲1794=NaN","layer":1},{"info":"NaN↛⩡⫤=NaN","layer":0}]}
{"id":691,"expression_no_base_symbol":"$3477$⨟⋌⩍$2095$⨁⊸⫻","expression":"⫶⩼⫲106C⨟⋌⩍⫶⩼⫲94A⨁⊸⫻","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2,"operation_count":2,"complexity_ratio":1.0,"tree":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":3477,"base":15},"right_expr":{"type":"numeric_atoms","value":2095,"base":15}}},"used_operators":["glklzrTFfD","rGHVDoGpnC"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=3477","layer":2},{"info":"number node, value=2095","layer":2},{"info":"compute binary expreesion, left_input=3477, right_input=2095, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=nan","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲106C⨟⋌⩍⫶⩼⫲94A⨁⊸⫻=NaN","reverse_text":"NaN=⫶⩼⫲106C⨟⋌⩍⫶⩼⫲94A⨁⊸⫻","cot":[{"info":"⫶⩼⫲106C⨟⋌⩍⫶⩼⫲94A=NaN","layer":1},{"info":"NaN⨁⊸⫻=NaN","layer":0}]}
{"id":692,"expression_no_base_symbol":"($8774$-$4028$)∼($5868$⫸⊐$1527$)","expression":"(⫶⩼⫲28EE-⫶⩼⫲12D8)∼(⫶⩼⫲1B13⫸⊐⫶⩼⫲6BC)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":120,"operation_count":3,"complexity_ratio":40.0,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":8774,"base":15},"right_expr":{"type":"numeric_atoms","value":4028,"base":15}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":5868,"base":15},"right_expr":{"type":"numeric_atoms","value":1527,"base":15}}},"used_operators":["DyGG3AbaNP","rysDP5nf3Z","mqXw5SEYmG"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=8774","layer":2},{"info":"number node, value=4028","layer":2},{"info":"compute binary expreesion, left_input=8774, right_input=4028, op_id = rysDP5nf3Z binary_op_definition= 'None', output=4746","layer":1},{"info":"number node, value=5868","layer":2},{"info":"number node, value=1527","layer":2},{"info":"compute binary expreesion, left_input=5868, right_input=1527, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=5983","layer":1},{"info":"compute binary expreesion, left_input=4746, right_input=5983, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲28EE-⫶⩼⫲12D8)∼(⫶⩼⫲1B13⫸⊐⫶⩼⫲6BC)=NaN","reverse_text":"NaN=(⫶⩼⫲28EE-⫶⩼⫲12D8)∼(⫶⩼⫲1B13⫸⊐⫶⩼⫲6BC)","cot":[{"info":"⫶⩼⫲28EE-⫶⩼⫲12D8=⫶⩼⫲1616","layer":1},{"info":"⫶⩼⫲1B13⫸⊐⫶⩼⫲6BC=⫶⩼⫲1B8D","layer":1},{"info":"⫶⩼⫲1616∼⫶⩼⫲1B8D=NaN","layer":0}]}
{"id":693,"expression_no_base_symbol":"(⪝⪂⫅$1627$)↬($3547$⨸⪁$1122$)","expression":"(⪝⪂⫅⫶⩼⫲737)↬(⫶⩼⫲10B7⨸⪁⫶⩼⫲4EC)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":154,"operation_count":3,"complexity_ratio":51.333333333333336,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":1627,"base":15}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":3547,"base":15},"right_expr":{"type":"numeric_atoms","value":1122,"base":15}}},"used_operators":["B5M0gjZbta","XTarYq4gQB","g55IO6H4Gj"],"dependent_operators":["rGHVDoGpnC","9HNa5Wba9A","8w2t5hMYqp","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1627","layer":2},{"info":"compute unary expreesion, input=1627, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-239169","layer":1},{"info":"number node, value=3547","layer":2},{"info":"number node, value=1122","layer":2},{"info":"compute binary expreesion, left_input=3547, right_input=1122, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=9338","layer":1},{"info":"compute binary expreesion, left_input=-239169, right_input=9338, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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":15,"result_base":15,"text":"(⪝⪂⫅⫶⩼⫲737)↬(⫶⩼⫲10B7⨸⪁⫶⩼⫲4EC)=NaN","reverse_text":"NaN=(⪝⪂⫅⫶⩼⫲737)↬(⫶⩼⫲10B7⨸⪁⫶⩼⫲4EC)","cot":[{"info":"⪝⪂⫅⫶⩼⫲737=⫶⩼⫲-4ACE9","layer":1},{"info":"⫶⩼⫲10B7⨸⪁⫶⩼⫲4EC=⫶⩼⫲2B78","layer":1},{"info":"⫶⩼⫲-4ACE9↬⫶⩼⫲2B78=NaN","layer":0}]}
{"id":694,"expression_no_base_symbol":"(⨰⫟⨤$2082$)⨁⊸⫻","expression":"(⨰⫟⨤⫶⩼⫲93C)⨁⊸⫻","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":7489,"operation_count":2,"complexity_ratio":3744.5,"tree":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":2082,"base":15}}},"used_operators":["glklzrTFfD","Tw270M8GLb"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=2082","layer":2},{"info":"compute unary expreesion, input=2082, 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 = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=nan","layer":0}],"base":15,"result_base":15,"text":"(⨰⫟⨤⫶⩼⫲93C)⨁⊸⫻=NaN","reverse_text":"NaN=(⨰⫟⨤⫶⩼⫲93C)⨁⊸⫻","cot":[{"info":"⨰⫟⨤⫶⩼⫲93C=NaN","layer":1},{"info":"NaN⨁⊸⫻=NaN","layer":0}]}
{"id":695,"expression_no_base_symbol":"($3552$⨽$2163$)≹⇙⪍(≉$1037$)","expression":"(⫶⩼⫲10BC⨽⫶⩼⫲993)≹⇙⪍(≉⫶⩼⫲492)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3564,"operation_count":3,"complexity_ratio":1188.0,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":3552,"base":15},"right_expr":{"type":"numeric_atoms","value":2163,"base":15}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1037,"base":15}}},"used_operators":["AHs5Up7iyr","8HhzD0ZcuI","e1ybzncUwg"],"dependent_operators":["dWAJyo7jo9","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=3552","layer":2},{"info":"number node, value=2163","layer":2},{"info":"compute binary expreesion, left_input=3552, right_input=2163, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-37855287","layer":1},{"info":"number node, value=1037","layer":2},{"info":"compute unary expreesion, input=1037, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=1568","layer":1},{"info":"compute binary expreesion, left_input=-37855287, right_input=1568, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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":15,"result_base":15,"text":"(⫶⩼⫲10BC⨽⫶⩼⫲993)≹⇙⪍(≉⫶⩼⫲492)=NaN","reverse_text":"NaN=(⫶⩼⫲10BC⨽⫶⩼⫲993)≹⇙⪍(≉⫶⩼⫲492)","cot":[{"info":"⫶⩼⫲10BC⨽⫶⩼⫲993=⫶⩼⫲-34CB5AC","layer":1},{"info":"≉⫶⩼⫲492=⫶⩼⫲6E8","layer":1},{"info":"⫶⩼⫲-34CB5AC≹⇙⪍⫶⩼⫲6E8=NaN","layer":0}]}
{"id":696,"expression_no_base_symbol":"$1667$↬$3127$⋳⪒($4797$⩤)","expression":"⫶⩼⫲762↬⫶⩼⫲DD7⋳⪒(⫶⩼⫲164C⩤)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":9,"operation_count":3,"complexity_ratio":3.0,"tree":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1667,"base":15},"right_expr":{"type":"numeric_atoms","value":3127,"base":15}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":4797,"base":15}}},"used_operators":["12rbrZMWeM","B5M0gjZbta","Z2TMIBDE3Q"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1667","layer":2},{"info":"number node, value=3127","layer":2},{"info":"compute binary expreesion, left_input=1667, right_input=3127, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=4797","layer":2},{"info":"compute unary expreesion, input=4797, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-4797","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-4797, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲762↬⫶⩼⫲DD7⋳⪒(⫶⩼⫲164C⩤)=NaN","reverse_text":"NaN=⫶⩼⫲762↬⫶⩼⫲DD7⋳⪒(⫶⩼⫲164C⩤)","cot":[{"info":"⫶⩼⫲762↬⫶⩼⫲DD7=NaN","layer":1},{"info":"⫶⩼⫲164C⩤=⫶⩼⫲-164C","layer":1},{"info":"NaN⋳⪒⫶⩼⫲-164C=NaN","layer":0}]}
{"id":697,"expression_no_base_symbol":"($1808$∲⫓$1066$)⨟⋌⩍(-$1905$)","expression":"(⫶⩼⫲808∲⫓⫶⩼⫲4B1)⨟⋌⩍(-⫶⩼⫲870)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4,"operation_count":3,"complexity_ratio":1.3333333333333333,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1808,"base":15},"right_expr":{"type":"numeric_atoms","value":1066,"base":15}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1905,"base":15}}},"used_operators":["rGHVDoGpnC","i8ToyICDmI","t8gj7n24qd"],"dependent_operators":["Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1808","layer":2},{"info":"number node, value=1066","layer":2},{"info":"compute binary expreesion, left_input=1808, right_input=1066, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":1},{"info":"number node, value=1905","layer":2},{"info":"compute unary expreesion, input=1905, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1905","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-1905, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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":15,"result_base":15,"text":"(⫶⩼⫲808∲⫓⫶⩼⫲4B1)⨟⋌⩍(-⫶⩼⫲870)=NaN","reverse_text":"NaN=(⫶⩼⫲808∲⫓⫶⩼⫲4B1)⨟⋌⩍(-⫶⩼⫲870)","cot":[{"info":"⫶⩼⫲808∲⫓⫶⩼⫲4B1=⫶⩼⫲0","layer":1},{"info":"-⫶⩼⫲870=⫶⩼⫲-870","layer":1},{"info":"⫶⩼⫲0⨟⋌⩍⫶⩼⫲-870=NaN","layer":0}]}
{"id":698,"expression_no_base_symbol":"($1371$⩨$3257$)∸","expression":"(⫶⩼⫲616⩨⫶⩼⫲E72)∸","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":182,"operation_count":2,"complexity_ratio":91.0,"tree":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1371,"base":15},"right_expr":{"type":"numeric_atoms","value":3257,"base":15}}},"used_operators":["o20kRiQErp","2DlMacCsIx"],"dependent_operators":["tmPS8pqC7x","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"⫶⩼⫲BC","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1371","layer":2},{"info":"number node, value=3257","layer":2},{"info":"compute binary expreesion, left_input=1371, right_input=3257, 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 = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲616⩨⫶⩼⫲E72)∸=⫶⩼⫲BC","reverse_text":"⫶⩼⫲BC=(⫶⩼⫲616⩨⫶⩼⫲E72)∸","cot":[{"info":"⫶⩼⫲616⩨⫶⩼⫲E72=⫶⩼⫲-6","layer":1},{"info":"⫶⩼⫲-6∸=⫶⩼⫲BC","layer":0}]}
{"id":699,"expression_no_base_symbol":"$1375$⨟⋌⩍$2601$≧⫂∧($1652$⨰$4744$)","expression":"⫶⩼⫲61A⨟⋌⩍⫶⩼⫲B86≧⫂∧(⫶⩼⫲752⨰⫶⩼⫲1614)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":9,"operation_count":3,"complexity_ratio":3.0,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1375,"base":15},"right_expr":{"type":"numeric_atoms","value":2601,"base":15}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1652,"base":15},"right_expr":{"type":"numeric_atoms","value":4744,"base":15}}},"used_operators":["Ph9nP6C5qx","rGHVDoGpnC","eewbuw0ToL"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1375","layer":2},{"info":"number node, value=2601","layer":2},{"info":"compute binary expreesion, left_input=1375, right_input=2601, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=1652","layer":2},{"info":"number node, value=4744","layer":2},{"info":"compute binary expreesion, left_input=1652, right_input=4744, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-3082","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-3082, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲61A⨟⋌⩍⫶⩼⫲B86≧⫂∧(⫶⩼⫲752⨰⫶⩼⫲1614)=NaN","reverse_text":"NaN=⫶⩼⫲61A⨟⋌⩍⫶⩼⫲B86≧⫂∧(⫶⩼⫲752⨰⫶⩼⫲1614)","cot":[{"info":"⫶⩼⫲61A⨟⋌⩍⫶⩼⫲B86=NaN","layer":1},{"info":"⫶⩼⫲752⨰⫶⩼⫲1614=⫶⩼⫲-DA7","layer":1},{"info":"NaN≧⫂∧⫶⩼⫲-DA7=NaN","layer":0}]}
{"id":700,"expression_no_base_symbol":"(⨵≀≌$1658$)⋫","expression":"(⨵≀≌⫶⩼⫲758)⋫","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4977,"operation_count":2,"complexity_ratio":2488.5,"tree":{"type":"unary","operator":"⋫","unary_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1658,"base":15}}},"used_operators":["JL8yIekQnl","srAu1WTS94"],"dependent_operators":["tmPS8pqC7x","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A"],"result":"⫶⩼⫲-1719","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1658","layer":2},{"info":"compute unary expreesion, input=1658, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-4974","layer":1},{"info":"compute unary expreesion, input=-4974, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=-4974","layer":0}],"base":15,"result_base":15,"text":"(⨵≀≌⫶⩼⫲758)⋫=⫶⩼⫲-1719","reverse_text":"⫶⩼⫲-1719=(⨵≀≌⫶⩼⫲758)⋫","cot":[{"info":"⨵≀≌⫶⩼⫲758=⫶⩼⫲-1719","layer":1},{"info":"⫶⩼⫲-1719⋫=⫶⩼⫲-1719","layer":0}]}
{"id":701,"expression_no_base_symbol":"$4736$⋷$1927$+$1357$⨸⪁$5202$","expression":"⫶⩼⫲160B⋷⫶⩼⫲887+⫶⩼⫲607⨸⪁⫶⩼⫲181C","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":7,"operation_count":3,"complexity_ratio":2.3333333333333335,"tree":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":4736,"base":15},"right_expr":{"type":"numeric_atoms","value":1927,"base":15}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1357,"base":15},"right_expr":{"type":"numeric_atoms","value":5202,"base":15}}},"used_operators":["W4YGzv6Whe","23Mk6UjR3U","g55IO6H4Gj"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe"],"result":"⫶⩼⫲395B","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=4736","layer":2},{"info":"number node, value=1927","layer":2},{"info":"compute binary expreesion, left_input=4736, right_input=1927, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-882","layer":1},{"info":"number node, value=1357","layer":2},{"info":"number node, value=5202","layer":2},{"info":"compute binary expreesion, left_input=1357, right_input=5202, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=13118","layer":1},{"info":"compute binary expreesion, left_input=-882, right_input=13118, op_id = W4YGzv6Whe binary_op_definition= 'None', output=12236","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲160B⋷⫶⩼⫲887+⫶⩼⫲607⨸⪁⫶⩼⫲181C=⫶⩼⫲395B","reverse_text":"⫶⩼⫲395B=⫶⩼⫲160B⋷⫶⩼⫲887+⫶⩼⫲607⨸⪁⫶⩼⫲181C","cot":[{"info":"⫶⩼⫲160B⋷⫶⩼⫲887=⫶⩼⫲-3DC","layer":1},{"info":"⫶⩼⫲607⨸⪁⫶⩼⫲181C=⫶⩼⫲3D48","layer":1},{"info":"⫶⩼⫲-3DC+⫶⩼⫲3D48=⫶⩼⫲395B","layer":0}]}
{"id":702,"expression_no_base_symbol":"∥⊫(↔$1337$)","expression":"∥⊫(↔⫶⩼⫲5E2)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":10,"operation_count":2,"complexity_ratio":5.0,"tree":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":1337,"base":15}}},"used_operators":["P8v4zCKN1o","ruOEQAzv1W"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp"],"result":"⫶⩼⫲-3A","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1337","layer":2},{"info":"compute unary expreesion, input=1337, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-1064","layer":1},{"info":"compute unary expreesion, input=-1064, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=-55","layer":0}],"base":15,"result_base":15,"text":"∥⊫(↔⫶⩼⫲5E2)=⫶⩼⫲-3A","reverse_text":"⫶⩼⫲-3A=∥⊫(↔⫶⩼⫲5E2)","cot":[{"info":"↔⫶⩼⫲5E2=⫶⩼⫲-4AE","layer":1},{"info":"∥⊫⫶⩼⫲-4AE=⫶⩼⫲-3A","layer":0}]}
{"id":703,"expression_no_base_symbol":"($1448$⊉≛↸$2036$)⪮%⊝($2011$⊪)","expression":"(⫶⩼⫲668⊉≛↸⫶⩼⫲90B)⪮%⊝(⫶⩼⫲8E1⊪)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":44,"operation_count":3,"complexity_ratio":14.666666666666666,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1448,"base":15},"right_expr":{"type":"numeric_atoms","value":2036,"base":15}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":2011,"base":15}}},"used_operators":["IWmyXbctLI","DZ8iAZOCBD","zVYPLywUTj"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1448","layer":2},{"info":"number node, value=2036","layer":2},{"info":"compute binary expreesion, left_input=1448, right_input=2036, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2896","layer":1},{"info":"number node, value=2011","layer":2},{"info":"compute unary expreesion, input=2011, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=2896, right_input=0, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲668⊉≛↸⫶⩼⫲90B)⪮%⊝(⫶⩼⫲8E1⊪)=NaN","reverse_text":"NaN=(⫶⩼⫲668⊉≛↸⫶⩼⫲90B)⪮%⊝(⫶⩼⫲8E1⊪)","cot":[{"info":"⫶⩼⫲668⊉≛↸⫶⩼⫲90B=⫶⩼⫲CD1","layer":1},{"info":"⫶⩼⫲8E1⊪=⫶⩼⫲0","layer":1},{"info":"⫶⩼⫲CD1⪮%⊝⫶⩼⫲0=NaN","layer":0}]}
{"id":704,"expression_no_base_symbol":"∥⊫($3968$⪨≂$1469$)","expression":"∥⊫(⫶⩼⫲1298⪨≂⫶⩼⫲67E)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":9,"operation_count":2,"complexity_ratio":4.5,"tree":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":3968,"base":15},"right_expr":{"type":"numeric_atoms","value":1469,"base":15}}},"used_operators":["P8v4zCKN1o","sdazOOVcIp"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⫶⩼⫲1B7D","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=3968","layer":2},{"info":"number node, value=1469","layer":2},{"info":"compute binary expreesion, left_input=3968, right_input=1469, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=5100","layer":1},{"info":"compute unary expreesion, input=5100, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=5968","layer":0}],"base":15,"result_base":15,"text":"∥⊫(⫶⩼⫲1298⪨≂⫶⩼⫲67E)=⫶⩼⫲1B7D","reverse_text":"⫶⩼⫲1B7D=∥⊫(⫶⩼⫲1298⪨≂⫶⩼⫲67E)","cot":[{"info":"⫶⩼⫲1298⪨≂⫶⩼⫲67E=⫶⩼⫲17A0","layer":1},{"info":"∥⊫⫶⩼⫲17A0=⫶⩼⫲1B7D","layer":0}]}
{"id":705,"expression_no_base_symbol":"($3975$⩠)∼$6447$⪢$5196$","expression":"(⫶⩼⫲12A0⩠)∼⫶⩼⫲1D9C⪢⫶⩼⫲1816","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":8173,"operation_count":3,"complexity_ratio":2724.3333333333335,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":3975,"base":15}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":6447,"base":15},"right_expr":{"type":"numeric_atoms","value":5196,"base":15}}},"used_operators":["DyGG3AbaNP","sJAwomhLZr","dWAJyo7jo9"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=3975","layer":2},{"info":"compute unary expreesion, input=3975, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":1},{"info":"number node, value=6447","layer":2},{"info":"number node, value=5196","layer":2},{"info":"compute binary expreesion, left_input=6447, right_input=5196, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲12A0⩠)∼⫶⩼⫲1D9C⪢⫶⩼⫲1816=NaN","reverse_text":"NaN=(⫶⩼⫲12A0⩠)∼⫶⩼⫲1D9C⪢⫶⩼⫲1816","cot":[{"info":"⫶⩼⫲12A0⩠=⫶⩼⫲0","layer":1},{"info":"⫶⩼⫲1D9C⪢⫶⩼⫲1816=NaN","layer":1},{"info":"⫶⩼⫲0∼NaN=NaN","layer":0}]}
{"id":706,"expression_no_base_symbol":"($1918$⪒$6931$)≹⇙⪍($1135$⪄$6462$)","expression":"(⫶⩼⫲87D⪒⫶⩼⫲20C1)≹⇙⪍(⫶⩼⫲50A⪄⫶⩼⫲1DAC)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":99,"operation_count":3,"complexity_ratio":33.0,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1918,"base":15},"right_expr":{"type":"numeric_atoms","value":6931,"base":15}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1135,"base":15},"right_expr":{"type":"numeric_atoms","value":6462,"base":15}}},"used_operators":["AHs5Up7iyr","f6k1SAg4EE","SUmda5xLS4"],"dependent_operators":["dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1918","layer":2},{"info":"number node, value=6931","layer":2},{"info":"compute binary expreesion, left_input=1918, right_input=6931, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-8849","layer":1},{"info":"number node, value=1135","layer":2},{"info":"number node, value=6462","layer":2},{"info":"compute binary expreesion, left_input=1135, right_input=6462, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-189917","layer":1},{"info":"compute binary expreesion, left_input=-8849, right_input=-189917, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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":15,"result_base":15,"text":"(⫶⩼⫲87D⪒⫶⩼⫲20C1)≹⇙⪍(⫶⩼⫲50A⪄⫶⩼⫲1DAC)=NaN","reverse_text":"NaN=(⫶⩼⫲87D⪒⫶⩼⫲20C1)≹⇙⪍(⫶⩼⫲50A⪄⫶⩼⫲1DAC)","cot":[{"info":"⫶⩼⫲87D⪒⫶⩼⫲20C1=⫶⩼⫲-294E","layer":1},{"info":"⫶⩼⫲50A⪄⫶⩼⫲1DAC=⫶⩼⫲-3B412","layer":1},{"info":"⫶⩼⫲-294E≹⇙⪍⫶⩼⫲-3B412=NaN","layer":0}]}
{"id":707,"expression_no_base_symbol":"(⨰⫟⨤$3528$)/$1528$⪢$3355$","expression":"(⨰⫟⨤⫶⩼⫲10A3)/⫶⩼⫲6BD⪢⫶⩼⫲EDA","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":16628,"operation_count":3,"complexity_ratio":5542.666666666667,"tree":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":3528,"base":15}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1528,"base":15},"right_expr":{"type":"numeric_atoms","value":3355,"base":15}}},"used_operators":["XhwjNDsVaA","Tw270M8GLb","dWAJyo7jo9"],"dependent_operators":["rysDP5nf3Z","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=3528","layer":2},{"info":"compute unary expreesion, input=3528, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":1},{"info":"number node, value=1528","layer":2},{"info":"number node, value=3355","layer":2},{"info":"compute binary expreesion, left_input=1528, right_input=3355, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":0}],"base":15,"result_base":15,"text":"(⨰⫟⨤⫶⩼⫲10A3)/⫶⩼⫲6BD⪢⫶⩼⫲EDA=NaN","reverse_text":"NaN=(⨰⫟⨤⫶⩼⫲10A3)/⫶⩼⫲6BD⪢⫶⩼⫲EDA","cot":[{"info":"⨰⫟⨤⫶⩼⫲10A3=NaN","layer":1},{"info":"⫶⩼⫲6BD⪢⫶⩼⫲EDA=NaN","layer":1},{"info":"NaN/NaN=NaN","layer":0}]}
{"id":708,"expression_no_base_symbol":"(⨵≀≌$4366$)⊉≛↸(-$1064$)","expression":"(⨵≀≌⫶⩼⫲1461)⊉≛↸(-⫶⩼⫲4AE)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":8,"operation_count":3,"complexity_ratio":2.6666666666666665,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":4366,"base":15}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1064,"base":15}}},"used_operators":["DZ8iAZOCBD","srAu1WTS94","t8gj7n24qd"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A"],"result":"⫶⩼⫲4AE","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=4366","layer":2},{"info":"compute unary expreesion, input=4366, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-13098","layer":1},{"info":"number node, value=1064","layer":2},{"info":"compute unary expreesion, input=1064, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1064","layer":1},{"info":"compute binary expreesion, left_input=-13098, right_input=-1064, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=1064","layer":0}],"base":15,"result_base":15,"text":"(⨵≀≌⫶⩼⫲1461)⊉≛↸(-⫶⩼⫲4AE)=⫶⩼⫲4AE","reverse_text":"⫶⩼⫲4AE=(⨵≀≌⫶⩼⫲1461)⊉≛↸(-⫶⩼⫲4AE)","cot":[{"info":"⨵≀≌⫶⩼⫲1461=⫶⩼⫲-3D33","layer":1},{"info":"-⫶⩼⫲4AE=⫶⩼⫲-4AE","layer":1},{"info":"⫶⩼⫲-3D33⊉≛↸⫶⩼⫲-4AE=⫶⩼⫲4AE","layer":0}]}
{"id":709,"expression_no_base_symbol":"(⨑⩽⪐$5618$)≹⇙⪍($6047$≧⫂∧$1125$)","expression":"(⨑⩽⪐⫶⩼⫲19E8)≹⇙⪍(⫶⩼⫲1BD2≧⫂∧⫶⩼⫲500)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":427030,"operation_count":3,"complexity_ratio":142343.33333333334,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":5618,"base":15}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":6047,"base":15},"right_expr":{"type":"numeric_atoms","value":1125,"base":15}}},"used_operators":["AHs5Up7iyr","AF7qkfDlqP","Ph9nP6C5qx"],"dependent_operators":["dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=5618","layer":2},{"info":"compute unary expreesion, input=5618, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-5345","layer":1},{"info":"number node, value=6047","layer":2},{"info":"number node, value=1125","layer":2},{"info":"compute binary expreesion, left_input=6047, right_input=1125, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=652","layer":1},{"info":"compute binary expreesion, left_input=-5345, right_input=652, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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":15,"result_base":15,"text":"(⨑⩽⪐⫶⩼⫲19E8)≹⇙⪍(⫶⩼⫲1BD2≧⫂∧⫶⩼⫲500)=NaN","reverse_text":"NaN=(⨑⩽⪐⫶⩼⫲19E8)≹⇙⪍(⫶⩼⫲1BD2≧⫂∧⫶⩼⫲500)","cot":[{"info":"⨑⩽⪐⫶⩼⫲19E8=⫶⩼⫲-18B5","layer":1},{"info":"⫶⩼⫲1BD2≧⫂∧⫶⩼⫲500=⫶⩼⫲2D7","layer":1},{"info":"⫶⩼⫲-18B5≹⇙⪍⫶⩼⫲2D7=NaN","layer":0}]}
{"id":710,"expression_no_base_symbol":"$1173$⨸⪁$2394$≋⫹","expression":"⫶⩼⫲533⨸⪁⫶⩼⫲A99≋⫹","highest_n_order":1,"priority_hierarchical_complexity":1,"normalized_expansion_degree":6,"operation_count":2,"complexity_ratio":3.0,"tree":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1173,"base":15},"right_expr":{"type":"numeric_atoms","value":2394,"base":15}}},"used_operators":["N41Kp7NANJ","g55IO6H4Gj"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe"],"result":"⫶⩼⫲-4363","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1173","layer":2},{"info":"number node, value=2394","layer":2},{"info":"compute binary expreesion, left_input=1173, right_input=2394, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=7134","layer":1},{"info":"compute unary expreesion, input=7134, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-14268","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲533⨸⪁⫶⩼⫲A99≋⫹=⫶⩼⫲-4363","reverse_text":"⫶⩼⫲-4363=⫶⩼⫲533⨸⪁⫶⩼⫲A99≋⫹","cot":[{"info":"⫶⩼⫲533⨸⪁⫶⩼⫲A99=⫶⩼⫲21A9","layer":1},{"info":"⫶⩼⫲21A9≋⫹=⫶⩼⫲-4363","layer":0}]}
{"id":711,"expression_no_base_symbol":"(⪲⇎$5166$)⩷∴($2120$⩷∴$1154$)","expression":"(⪲⇎⫶⩼⫲17E6)⩷∴(⫶⩼⫲965⩷∴⫶⩼⫲51E)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":14,"operation_count":3,"complexity_ratio":4.666666666666667,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":5166,"base":15}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2120,"base":15},"right_expr":{"type":"numeric_atoms","value":1154,"base":15}}},"used_operators":["9FxExcQeMw","XPYlsWDdGa"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫶⩼⫲4EC2","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=5166","layer":2},{"info":"compute unary expreesion, input=5166, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=10332","layer":1},{"info":"number node, value=2120","layer":2},{"info":"number node, value=1154","layer":2},{"info":"compute binary expreesion, left_input=2120, right_input=1154, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=1900","layer":1},{"info":"compute binary expreesion, left_input=10332, right_input=1900, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=16832","layer":0}],"base":15,"result_base":15,"text":"(⪲⇎⫶⩼⫲17E6)⩷∴(⫶⩼⫲965⩷∴⫶⩼⫲51E)=⫶⩼⫲4EC2","reverse_text":"⫶⩼⫲4EC2=(⪲⇎⫶⩼⫲17E6)⩷∴(⫶⩼⫲965⩷∴⫶⩼⫲51E)","cot":[{"info":"⪲⇎⫶⩼⫲17E6=⫶⩼⫲30DC","layer":1},{"info":"⫶⩼⫲965⩷∴⫶⩼⫲51E=⫶⩼⫲86A","layer":1},{"info":"⫶⩼⫲30DC⩷∴⫶⩼⫲86A=⫶⩼⫲4EC2","layer":0}]}
{"id":712,"expression_no_base_symbol":"$2400$⪘⫢$3709$+$1300$⊴$1578$","expression":"⫶⩼⫲AA0⪘⫢⫶⩼⫲1174+⫶⩼⫲5BA⊴⫶⩼⫲703","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1600,"operation_count":3,"complexity_ratio":533.3333333333334,"tree":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2400,"base":15},"right_expr":{"type":"numeric_atoms","value":3709,"base":15}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1300,"base":15},"right_expr":{"type":"numeric_atoms","value":1578,"base":15}}},"used_operators":["W4YGzv6Whe","oacrs7FA3X","Nsiff2A1zJ"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=2400","layer":2},{"info":"number node, value=3709","layer":2},{"info":"compute binary expreesion, left_input=2400, right_input=3709, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=4676","layer":1},{"info":"number node, value=1300","layer":2},{"info":"number node, value=1578","layer":2},{"info":"compute binary expreesion, left_input=1300, right_input=1578, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=4676, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲AA0⪘⫢⫶⩼⫲1174+⫶⩼⫲5BA⊴⫶⩼⫲703=NaN","reverse_text":"NaN=⫶⩼⫲AA0⪘⫢⫶⩼⫲1174+⫶⩼⫲5BA⊴⫶⩼⫲703","cot":[{"info":"⫶⩼⫲AA0⪘⫢⫶⩼⫲1174=⫶⩼⫲15BB","layer":1},{"info":"⫶⩼⫲5BA⊴⫶⩼⫲703=NaN","layer":1},{"info":"⫶⩼⫲15BB+NaN=NaN","layer":0}]}
{"id":713,"expression_no_base_symbol":"($6289$⫸⊐$1403$)⩷∴($3627$≋⫹)","expression":"(⫶⩼⫲1CE4⫸⊐⫶⩼⫲638)⩷∴(⫶⩼⫲111C≋⫹)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":33,"operation_count":3,"complexity_ratio":11.0,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":6289,"base":15},"right_expr":{"type":"numeric_atoms","value":1403,"base":15}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":3627,"base":15}}},"used_operators":["9FxExcQeMw","mqXw5SEYmG","N41Kp7NANJ"],"dependent_operators":["rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd"],"result":"⫶⩼⫲781A","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=6289","layer":2},{"info":"number node, value=1403","layer":2},{"info":"compute binary expreesion, left_input=6289, right_input=1403, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=5487","layer":1},{"info":"number node, value=3627","layer":2},{"info":"compute unary expreesion, input=3627, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-7254","layer":1},{"info":"compute binary expreesion, left_input=5487, right_input=-7254, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=25450","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲1CE4⫸⊐⫶⩼⫲638)⩷∴(⫶⩼⫲111C≋⫹)=⫶⩼⫲781A","reverse_text":"⫶⩼⫲781A=(⫶⩼⫲1CE4⫸⊐⫶⩼⫲638)⩷∴(⫶⩼⫲111C≋⫹)","cot":[{"info":"⫶⩼⫲1CE4⫸⊐⫶⩼⫲638=⫶⩼⫲195C","layer":1},{"info":"⫶⩼⫲111C≋⫹=⫶⩼⫲-2239","layer":1},{"info":"⫶⩼⫲195C⩷∴⫶⩼⫲-2239=⫶⩼⫲781A","layer":0}]}
{"id":714,"expression_no_base_symbol":"$1999$↙$1100$⨸⪁(⊙↵-$1019$)","expression":"⫶⩼⫲8D4↙⫶⩼⫲4D5⨸⪁(⊙↵-⫶⩼⫲47E)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2171,"operation_count":3,"complexity_ratio":723.6666666666666,"tree":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1999,"base":15},"right_expr":{"type":"numeric_atoms","value":1100,"base":15}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1019,"base":15}}},"used_operators":["g55IO6H4Gj","yyfyN0ffXY","oWn0xqSxBt"],"dependent_operators":["W4YGzv6Whe","tmPS8pqC7x","DpFCA1CohY","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X"],"result":"⫶⩼⫲-1E52","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1999","layer":2},{"info":"number node, value=1100","layer":2},{"info":"compute binary expreesion, left_input=1999, right_input=1100, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3300","layer":1},{"info":"number node, value=1019","layer":2},{"info":"compute unary expreesion, input=1019, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":1},{"info":"compute binary expreesion, left_input=-3300, right_input=-1, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-6602","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲8D4↙⫶⩼⫲4D5⨸⪁(⊙↵-⫶⩼⫲47E)=⫶⩼⫲-1E52","reverse_text":"⫶⩼⫲-1E52=⫶⩼⫲8D4↙⫶⩼⫲4D5⨸⪁(⊙↵-⫶⩼⫲47E)","cot":[{"info":"⫶⩼⫲8D4↙⫶⩼⫲4D5=⫶⩼⫲-EA0","layer":1},{"info":"⊙↵-⫶⩼⫲47E=⫶⩼⫲-1","layer":1},{"info":"⫶⩼⫲-EA0⨸⪁⫶⩼⫲-1=⫶⩼⫲-1E52","layer":0}]}
{"id":715,"expression_no_base_symbol":"($1073$⨳⩥⨓$3158$)∼$5862$≹⇙⪍$6429$","expression":"(⫶⩼⫲4B8⨳⩥⨓⫶⩼⫲E08)∼⫶⩼⫲1B0C≹⇙⪍⫶⩼⫲1D89","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":46,"operation_count":3,"complexity_ratio":15.333333333333334,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1073,"base":15},"right_expr":{"type":"numeric_atoms","value":3158,"base":15}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":5862,"base":15},"right_expr":{"type":"numeric_atoms","value":6429,"base":15}}},"used_operators":["DyGG3AbaNP","nCS4ZIUYfx","AHs5Up7iyr"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1073","layer":2},{"info":"number node, value=3158","layer":2},{"info":"compute binary expreesion, left_input=1073, right_input=3158, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=2085","layer":1},{"info":"number node, value=5862","layer":2},{"info":"number node, value=6429","layer":2},{"info":"compute binary expreesion, left_input=5862, right_input=6429, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=2085, 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":15,"result_base":15,"text":"(⫶⩼⫲4B8⨳⩥⨓⫶⩼⫲E08)∼⫶⩼⫲1B0C≹⇙⪍⫶⩼⫲1D89=NaN","reverse_text":"NaN=(⫶⩼⫲4B8⨳⩥⨓⫶⩼⫲E08)∼⫶⩼⫲1B0C≹⇙⪍⫶⩼⫲1D89","cot":[{"info":"⫶⩼⫲4B8⨳⩥⨓⫶⩼⫲E08=⫶⩼⫲940","layer":1},{"info":"⫶⩼⫲1B0C≹⇙⪍⫶⩼⫲1D89=NaN","layer":1},{"info":"⫶⩼⫲940∼NaN=NaN","layer":0}]}
{"id":716,"expression_no_base_symbol":"($4673$⨽$2137$)⨪↰⇹(⋗⩬⋾$1212$)","expression":"(⫶⩼⫲15B8⨽⫶⩼⫲977)⨪↰⇹(⋗⩬⋾⫶⩼⫲55C)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4686,"operation_count":3,"complexity_ratio":1562.0,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":4673,"base":15},"right_expr":{"type":"numeric_atoms","value":2137,"base":15}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1212,"base":15}}},"used_operators":["tmPS8pqC7x","8HhzD0ZcuI","DpFCA1CohY"],"dependent_operators":["rJVOvQCfKK","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=4673","layer":2},{"info":"number node, value=2137","layer":2},{"info":"compute binary expreesion, left_input=4673, right_input=2137, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-65515884","layer":1},{"info":"number node, value=1212","layer":2},{"info":"compute unary expreesion, input=1212, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-3636","layer":1},{"info":"compute binary expreesion, left_input=-65515884, right_input=-3636, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((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":15,"result_base":15,"text":"(⫶⩼⫲15B8⨽⫶⩼⫲977)⨪↰⇹(⋗⩬⋾⫶⩼⫲55C)=NaN","reverse_text":"NaN=(⫶⩼⫲15B8⨽⫶⩼⫲977)⨪↰⇹(⋗⩬⋾⫶⩼⫲55C)","cot":[{"info":"⫶⩼⫲15B8⨽⫶⩼⫲977=⫶⩼⫲-5B421A9","layer":1},{"info":"⋗⩬⋾⫶⩼⫲55C=⫶⩼⫲-1126","layer":1},{"info":"⫶⩼⫲-5B421A9⨪↰⇹⫶⩼⫲-1126=NaN","layer":0}]}
{"id":717,"expression_no_base_symbol":"∂($3304$⩨$4337$)","expression":"∂(⫶⩼⫲EA4⩨⫶⩼⫲1442)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":421,"operation_count":2,"complexity_ratio":210.5,"tree":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":3304,"base":15},"right_expr":{"type":"numeric_atoms","value":4337,"base":15}}},"used_operators":["Uaa54Peajs","2DlMacCsIx"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"⫶⩼⫲-126","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=3304","layer":2},{"info":"number node, value=4337","layer":2},{"info":"compute binary expreesion, left_input=3304, right_input=4337, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":1},{"info":"compute unary expreesion, input=-3, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=-261","layer":0}],"base":15,"result_base":15,"text":"∂(⫶⩼⫲EA4⩨⫶⩼⫲1442)=⫶⩼⫲-126","reverse_text":"⫶⩼⫲-126=∂(⫶⩼⫲EA4⩨⫶⩼⫲1442)","cot":[{"info":"⫶⩼⫲EA4⩨⫶⩼⫲1442=⫶⩼⫲-3","layer":1},{"info":"∂⫶⩼⫲-3=⫶⩼⫲-126","layer":0}]}
{"id":718,"expression_no_base_symbol":"($2427$⨸⪁$1444$)⨎$5621$⋝⋈⪟$1023$","expression":"(⫶⩼⫲ABC⨸⪁⫶⩼⫲664)⨎⫶⩼⫲19EB⋝⋈⪟⫶⩼⫲483","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7,"operation_count":3,"complexity_ratio":2.3333333333333335,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2427,"base":15},"right_expr":{"type":"numeric_atoms","value":1444,"base":15}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":5621,"base":15},"right_expr":{"type":"numeric_atoms","value":1023,"base":15}}},"used_operators":["rJVOvQCfKK","g55IO6H4Gj","2DDjHMKMc0"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd"],"result":"⫶⩼⫲19EB","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2427","layer":2},{"info":"number node, value=1444","layer":2},{"info":"compute binary expreesion, left_input=2427, right_input=1444, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=7742","layer":1},{"info":"number node, value=5621","layer":2},{"info":"number node, value=1023","layer":2},{"info":"compute binary expreesion, left_input=5621, right_input=1023, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=5621","layer":1},{"info":"compute binary expreesion, left_input=7742, right_input=5621, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=5621","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲ABC⨸⪁⫶⩼⫲664)⨎⫶⩼⫲19EB⋝⋈⪟⫶⩼⫲483=⫶⩼⫲19EB","reverse_text":"⫶⩼⫲19EB=(⫶⩼⫲ABC⨸⪁⫶⩼⫲664)⨎⫶⩼⫲19EB⋝⋈⪟⫶⩼⫲483","cot":[{"info":"⫶⩼⫲ABC⨸⪁⫶⩼⫲664=⫶⩼⫲2462","layer":1},{"info":"⫶⩼⫲19EB⋝⋈⪟⫶⩼⫲483=⫶⩼⫲19EB","layer":1},{"info":"⫶⩼⫲2462⨎⫶⩼⫲19EB=⫶⩼⫲19EB","layer":0}]}
{"id":719,"expression_no_base_symbol":"$7388$⇼⇔∾$1511$⪒($4422$⫩⊇)","expression":"⫶⩼⫲22C8⇼⇔∾⫶⩼⫲6AB⪒(⫶⩼⫲149C⫩⊇)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7,"operation_count":3,"complexity_ratio":2.3333333333333335,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":7388,"base":15},"right_expr":{"type":"numeric_atoms","value":1511,"base":15}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":4422,"base":15}}},"used_operators":["f6k1SAg4EE","tifHPKVTfV","BjRHVeLaeN"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⫶⩼⫲308C","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=7388","layer":2},{"info":"number node, value=1511","layer":2},{"info":"compute binary expreesion, left_input=7388, right_input=1511, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-5877","layer":1},{"info":"number node, value=4422","layer":2},{"info":"compute unary expreesion, input=4422, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-4380","layer":1},{"info":"compute binary expreesion, left_input=-5877, right_input=-4380, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=10257","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲22C8⇼⇔∾⫶⩼⫲6AB⪒(⫶⩼⫲149C⫩⊇)=⫶⩼⫲308C","reverse_text":"⫶⩼⫲308C=⫶⩼⫲22C8⇼⇔∾⫶⩼⫲6AB⪒(⫶⩼⫲149C⫩⊇)","cot":[{"info":"⫶⩼⫲22C8⇼⇔∾⫶⩼⫲6AB=⫶⩼⫲-1B1C","layer":1},{"info":"⫶⩼⫲149C⫩⊇=⫶⩼⫲-1470","layer":1},{"info":"⫶⩼⫲-1B1C⪒⫶⩼⫲-1470=⫶⩼⫲308C","layer":0}]}
{"id":720,"expression_no_base_symbol":"$6168$⊴$2187$⪛($1448$⩨$4782$)","expression":"⫶⩼⫲1C63⊴⫶⩼⫲9AC⪛(⫶⩼⫲668⩨⫶⩼⫲163C)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3359,"operation_count":3,"complexity_ratio":1119.6666666666667,"tree":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":6168,"base":15},"right_expr":{"type":"numeric_atoms","value":2187,"base":15}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1448,"base":15},"right_expr":{"type":"numeric_atoms","value":4782,"base":15}}},"used_operators":["uFcxV4UQCh","Nsiff2A1zJ","2DlMacCsIx"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","dWAJyo7jo9","14qkJME0vr","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=6168","layer":2},{"info":"number node, value=2187","layer":2},{"info":"compute binary expreesion, left_input=6168, right_input=2187, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=1448","layer":2},{"info":"number node, value=4782","layer":2},{"info":"compute binary expreesion, left_input=1448, right_input=4782, 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 = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲1C63⊴⫶⩼⫲9AC⪛(⫶⩼⫲668⩨⫶⩼⫲163C)=NaN","reverse_text":"NaN=⫶⩼⫲1C63⊴⫶⩼⫲9AC⪛(⫶⩼⫲668⩨⫶⩼⫲163C)","cot":[{"info":"⫶⩼⫲1C63⊴⫶⩼⫲9AC=NaN","layer":1},{"info":"⫶⩼⫲668⩨⫶⩼⫲163C=⫶⩼⫲-9","layer":1},{"info":"NaN⪛⫶⩼⫲-9=NaN","layer":0}]}
{"id":721,"expression_no_base_symbol":"($3083$⫡⨏$6519$)⋓$3636$⨟⋌⩍$1340$","expression":"(⫶⩼⫲DA8⫡⨏⫶⩼⫲1DE9)⋓⫶⩼⫲1126⨟⋌⩍⫶⩼⫲5E5","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":21,"operation_count":3,"complexity_ratio":7.0,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":3083,"base":15},"right_expr":{"type":"numeric_atoms","value":6519,"base":15}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":3636,"base":15},"right_expr":{"type":"numeric_atoms","value":1340,"base":15}}},"used_operators":["T2fj7uvVaJ","QMFrweE19q","rGHVDoGpnC"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=3083","layer":2},{"info":"number node, value=6519","layer":2},{"info":"compute binary expreesion, left_input=3083, right_input=6519, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=29236","layer":1},{"info":"number node, value=3636","layer":2},{"info":"number node, value=1340","layer":2},{"info":"compute binary expreesion, left_input=3636, right_input=1340, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=29236, 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":15,"result_base":15,"text":"(⫶⩼⫲DA8⫡⨏⫶⩼⫲1DE9)⋓⫶⩼⫲1126⨟⋌⩍⫶⩼⫲5E5=NaN","reverse_text":"NaN=(⫶⩼⫲DA8⫡⨏⫶⩼⫲1DE9)⋓⫶⩼⫲1126⨟⋌⩍⫶⩼⫲5E5","cot":[{"info":"⫶⩼⫲DA8⫡⨏⫶⩼⫲1DE9=⫶⩼⫲89E1","layer":1},{"info":"⫶⩼⫲1126⨟⋌⩍⫶⩼⫲5E5=NaN","layer":1},{"info":"⫶⩼⫲89E1⋓NaN=NaN","layer":0}]}
{"id":722,"expression_no_base_symbol":"(⪝⪂⫅$1343$)⋝⋈⪟($1985$⋓$3683$)","expression":"(⪝⪂⫅⫶⩼⫲5E8)⋝⋈⪟(⫶⩼⫲8C5⋓⫶⩼⫲1158)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":166,"operation_count":3,"complexity_ratio":55.333333333333336,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":1343,"base":15}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1985,"base":15},"right_expr":{"type":"numeric_atoms","value":3683,"base":15}}},"used_operators":["2DDjHMKMc0","XTarYq4gQB","T2fj7uvVaJ"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"⫶⩼⫲-3D766","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1343","layer":2},{"info":"compute unary expreesion, input=1343, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-197421","layer":1},{"info":"number node, value=1985","layer":2},{"info":"number node, value=3683","layer":2},{"info":"compute binary expreesion, left_input=1985, right_input=3683, op_id = T2fj7uvVaJ binary_op_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=-197421, right_input=0, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-197421","layer":0}],"base":15,"result_base":15,"text":"(⪝⪂⫅⫶⩼⫲5E8)⋝⋈⪟(⫶⩼⫲8C5⋓⫶⩼⫲1158)=⫶⩼⫲-3D766","reverse_text":"⫶⩼⫲-3D766=(⪝⪂⫅⫶⩼⫲5E8)⋝⋈⪟(⫶⩼⫲8C5⋓⫶⩼⫲1158)","cot":[{"info":"⪝⪂⫅⫶⩼⫲5E8=⫶⩼⫲-3D766","layer":1},{"info":"⫶⩼⫲8C5⋓⫶⩼⫲1158=⫶⩼⫲0","layer":1},{"info":"⫶⩼⫲-3D766⋝⋈⪟⫶⩼⫲0=⫶⩼⫲-3D766","layer":0}]}
{"id":723,"expression_no_base_symbol":"∂$1855$∼$4533$","expression":"∂⫶⩼⫲83A∼⫶⩼⫲1523","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":39,"operation_count":2,"complexity_ratio":19.5,"tree":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1855,"base":15},"right_expr":{"type":"numeric_atoms","value":4533,"base":15}}},"used_operators":["Uaa54Peajs","DyGG3AbaNP"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1855","layer":2},{"info":"number node, value=4533","layer":2},{"info":"compute binary expreesion, left_input=1855, right_input=4533, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":0}],"base":15,"result_base":15,"text":"∂⫶⩼⫲83A∼⫶⩼⫲1523=NaN","reverse_text":"NaN=∂⫶⩼⫲83A∼⫶⩼⫲1523","cot":[{"info":"⫶⩼⫲83A∼⫶⩼⫲1523=NaN","layer":1},{"info":"∂NaN=NaN","layer":0}]}
{"id":724,"expression_no_base_symbol":"⨰⫟⨤(≤/$5719$)","expression":"⨰⫟⨤(≤/⫶⩼⫲1A64)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":21833,"operation_count":2,"complexity_ratio":10916.5,"tree":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":5719,"base":15}}},"used_operators":["Tw270M8GLb","eLAdDNolq6"],"dependent_operators":["sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=5719","layer":2},{"info":"compute unary expreesion, input=5719, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-5235","layer":1},{"info":"compute unary expreesion, input=-5235, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"⨰⫟⨤(≤/⫶⩼⫲1A64)=NaN","reverse_text":"NaN=⨰⫟⨤(≤/⫶⩼⫲1A64)","cot":[{"info":"≤/⫶⩼⫲1A64=⫶⩼⫲-1840","layer":1},{"info":"⨰⫟⨤⫶⩼⫲-1840=NaN","layer":0}]}
{"id":725,"expression_no_base_symbol":"⨰⫟⨤($3984$⨽$4154$)","expression":"⨰⫟⨤(⫶⩼⫲12A9⨽⫶⩼⫲136E)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":95260719,"operation_count":2,"complexity_ratio":47630359.5,"tree":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":3984,"base":15},"right_expr":{"type":"numeric_atoms","value":4154,"base":15}}},"used_operators":["Tw270M8GLb","8HhzD0ZcuI"],"dependent_operators":["sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=3984","layer":2},{"info":"number node, value=4154","layer":2},{"info":"compute binary expreesion, left_input=3984, right_input=4154, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-47627916","layer":1},{"info":"compute unary expreesion, input=-47627916, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"⨰⫟⨤(⫶⩼⫲12A9⨽⫶⩼⫲136E)=NaN","reverse_text":"NaN=⨰⫟⨤(⫶⩼⫲12A9⨽⫶⩼⫲136E)","cot":[{"info":"⫶⩼⫲12A9⨽⫶⩼⫲136E=⫶⩼⫲-42ABE96","layer":1},{"info":"⨰⫟⨤⫶⩼⫲-42ABE96=NaN","layer":0}]}
{"id":726,"expression_no_base_symbol":"$1435$⨟⋌⩍$6349$⨳⩥⨓$6510$∼$6250$","expression":"⫶⩼⫲65A⨟⋌⩍⫶⩼⫲1D34⨳⩥⨓⫶⩼⫲1DE0∼⫶⩼⫲1CBA","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":133,"operation_count":3,"complexity_ratio":44.333333333333336,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1435,"base":15},"right_expr":{"type":"numeric_atoms","value":6349,"base":15}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":6510,"base":15},"right_expr":{"type":"numeric_atoms","value":6250,"base":15}}},"used_operators":["nCS4ZIUYfx","rGHVDoGpnC","DyGG3AbaNP"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","Tcnh7f0tEr","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1435","layer":2},{"info":"number node, value=6349","layer":2},{"info":"compute binary expreesion, left_input=1435, right_input=6349, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=6510","layer":2},{"info":"number node, value=6250","layer":2},{"info":"compute binary expreesion, left_input=6510, right_input=6250, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲65A⨟⋌⩍⫶⩼⫲1D34⨳⩥⨓⫶⩼⫲1DE0∼⫶⩼⫲1CBA=NaN","reverse_text":"NaN=⫶⩼⫲65A⨟⋌⩍⫶⩼⫲1D34⨳⩥⨓⫶⩼⫲1DE0∼⫶⩼⫲1CBA","cot":[{"info":"⫶⩼⫲65A⨟⋌⩍⫶⩼⫲1D34=NaN","layer":1},{"info":"⫶⩼⫲1DE0∼⫶⩼⫲1CBA=NaN","layer":1},{"info":"NaN⨳⩥⨓NaN=NaN","layer":0}]}
{"id":727,"expression_no_base_symbol":"($3812$⨵⪆$1876$)⨐⩸⫘$1512$⨐⩸⫘$1650$","expression":"(⫶⩼⫲11E2⨵⪆⫶⩼⫲851)⨐⩸⫘⫶⩼⫲6AC⨐⩸⫘⫶⩼⫲750","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3,"operation_count":3,"complexity_ratio":1.0,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":3812,"base":15},"right_expr":{"type":"numeric_atoms","value":1876,"base":15}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1512,"base":15},"right_expr":{"type":"numeric_atoms","value":1650,"base":15}}},"used_operators":["fu6greOZ01","2DQ55sFlQl"],"dependent_operators":["3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=3812","layer":2},{"info":"number node, value=1876","layer":2},{"info":"compute binary expreesion, left_input=3812, right_input=1876, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=1512","layer":2},{"info":"number node, value=1650","layer":2},{"info":"compute binary expreesion, left_input=1512, right_input=1650, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=160, right_input=nan, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲11E2⨵⪆⫶⩼⫲851)⨐⩸⫘⫶⩼⫲6AC⨐⩸⫘⫶⩼⫲750=NaN","reverse_text":"NaN=(⫶⩼⫲11E2⨵⪆⫶⩼⫲851)⨐⩸⫘⫶⩼⫲6AC⨐⩸⫘⫶⩼⫲750","cot":[{"info":"⫶⩼⫲11E2⨵⪆⫶⩼⫲851=⫶⩼⫲AA","layer":1},{"info":"⫶⩼⫲6AC⨐⩸⫘⫶⩼⫲750=NaN","layer":1},{"info":"⫶⩼⫲AA⨐⩸⫘NaN=NaN","layer":0}]}
{"id":728,"expression_no_base_symbol":"($1357$≣⋋)↙(⨑⩽⪐$4751$)","expression":"(⫶⩼⫲607≣⋋)↙(⨑⩽⪐⫶⩼⫲161B)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":519,"operation_count":3,"complexity_ratio":173.0,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":1357,"base":15}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":4751,"base":15}}},"used_operators":["yyfyN0ffXY","Tcnh7f0tEr","AF7qkfDlqP"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"⫶⩼⫲0","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1357","layer":2},{"info":"compute unary expreesion, input=1357, 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=4751","layer":2},{"info":"compute unary expreesion, input=4751, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-4478","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-4478, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=0","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲607≣⋋)↙(⨑⩽⪐⫶⩼⫲161B)=⫶⩼⫲0","reverse_text":"⫶⩼⫲0=(⫶⩼⫲607≣⋋)↙(⨑⩽⪐⫶⩼⫲161B)","cot":[{"info":"⫶⩼⫲607≣⋋=⫶⩼⫲0","layer":1},{"info":"⨑⩽⪐⫶⩼⫲161B=⫶⩼⫲-14D8","layer":1},{"info":"⫶⩼⫲0↙⫶⩼⫲-14D8=⫶⩼⫲0","layer":0}]}
{"id":729,"expression_no_base_symbol":"∥⊫$3631$⨰$1025$","expression":"∥⊫⫶⩼⫲1121⨰⫶⩼⫲485","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":10,"operation_count":2,"complexity_ratio":5.0,"tree":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":3631,"base":15},"right_expr":{"type":"numeric_atoms","value":1025,"base":15}}},"used_operators":["P8v4zCKN1o","eewbuw0ToL"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫶⩼⫲1074","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=3631","layer":2},{"info":"number node, value=1025","layer":2},{"info":"compute binary expreesion, left_input=3631, right_input=1025, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=2616","layer":1},{"info":"compute unary expreesion, input=2616, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=3484","layer":0}],"base":15,"result_base":15,"text":"∥⊫⫶⩼⫲1121⨰⫶⩼⫲485=⫶⩼⫲1074","reverse_text":"⫶⩼⫲1074=∥⊫⫶⩼⫲1121⨰⫶⩼⫲485","cot":[{"info":"⫶⩼⫲1121⨰⫶⩼⫲485=⫶⩼⫲B96","layer":1},{"info":"∥⊫⫶⩼⫲B96=⫶⩼⫲1074","layer":0}]}
{"id":730,"expression_no_base_symbol":"$7947$≭$1403$⫥∨⫟($1929$⫡⨏$1021$)","expression":"⫶⩼⫲254C≭⫶⩼⫲638⫥∨⫟(⫶⩼⫲889⫡⨏⫶⩼⫲481)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":162,"operation_count":3,"complexity_ratio":54.0,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":7947,"base":15},"right_expr":{"type":"numeric_atoms","value":1403,"base":15}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1929,"base":15},"right_expr":{"type":"numeric_atoms","value":1021,"base":15}}},"used_operators":["KYD54nUTWz","rxpJgHHUmx","QMFrweE19q"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=7947","layer":2},{"info":"number node, value=1403","layer":2},{"info":"compute binary expreesion, left_input=7947, right_input=1403, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=1929","layer":2},{"info":"number node, value=1021","layer":2},{"info":"compute binary expreesion, left_input=1929, right_input=1021, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=12470","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=12470, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲254C≭⫶⩼⫲638⫥∨⫟(⫶⩼⫲889⫡⨏⫶⩼⫲481)=NaN","reverse_text":"NaN=⫶⩼⫲254C≭⫶⩼⫲638⫥∨⫟(⫶⩼⫲889⫡⨏⫶⩼⫲481)","cot":[{"info":"⫶⩼⫲254C≭⫶⩼⫲638=NaN","layer":1},{"info":"⫶⩼⫲889⫡⨏⫶⩼⫲481=⫶⩼⫲3A65","layer":1},{"info":"NaN⫥∨⫟⫶⩼⫲3A65=NaN","layer":0}]}
{"id":731,"expression_no_base_symbol":"(↩$2986$)⪄$1209$⋓$1826$","expression":"(↩⫶⩼⫲D41)⪄⫶⩼⫲559⋓⫶⩼⫲81B","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":122,"operation_count":3,"complexity_ratio":40.666666666666664,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":2986,"base":15}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1209,"base":15},"right_expr":{"type":"numeric_atoms","value":1826,"base":15}}},"used_operators":["SUmda5xLS4","jLgFTUHLKL","T2fj7uvVaJ"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"⫶⩼⫲12A4","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2986","layer":2},{"info":"compute unary expreesion, input=2986, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-21108","layer":1},{"info":"number node, value=1209","layer":2},{"info":"number node, value=1826","layer":2},{"info":"compute binary expreesion, left_input=1209, right_input=1826, op_id = T2fj7uvVaJ binary_op_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=-21108, right_input=0, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":0}],"base":15,"result_base":15,"text":"(↩⫶⩼⫲D41)⪄⫶⩼⫲559⋓⫶⩼⫲81B=⫶⩼⫲12A4","reverse_text":"⫶⩼⫲12A4=(↩⫶⩼⫲D41)⪄⫶⩼⫲559⋓⫶⩼⫲81B","cot":[{"info":"↩⫶⩼⫲D41=⫶⩼⫲-63C3","layer":1},{"info":"⫶⩼⫲559⋓⫶⩼⫲81B=⫶⩼⫲0","layer":1},{"info":"⫶⩼⫲-63C3⪄⫶⩼⫲0=⫶⩼⫲12A4","layer":0}]}
{"id":732,"expression_no_base_symbol":"≉(↥$5233$)","expression":"≉(↥⫶⩼⫲183D)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":104,"operation_count":2,"complexity_ratio":52.0,"tree":{"type":"unary","operator":"≉","unary_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":5233,"base":15}}},"used_operators":["e1ybzncUwg","A8NUZmVepG"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY"],"result":"⫶⩼⫲277","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=5233","layer":2},{"info":"compute unary expreesion, input=5233, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=31","layer":1},{"info":"compute unary expreesion, input=31, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=562","layer":0}],"base":15,"result_base":15,"text":"≉(↥⫶⩼⫲183D)=⫶⩼⫲277","reverse_text":"⫶⩼⫲277=≉(↥⫶⩼⫲183D)","cot":[{"info":"↥⫶⩼⫲183D=⫶⩼⫲21","layer":1},{"info":"≉⫶⩼⫲21=⫶⩼⫲277","layer":0}]}
{"id":733,"expression_no_base_symbol":"($2826$⊠≄⫣)≭($1380$⨎$3115$)","expression":"(⫶⩼⫲C86⊠≄⫣)≭(⫶⩼⫲620⨎⫶⩼⫲DCA)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5,"operation_count":3,"complexity_ratio":1.6666666666666667,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":2826,"base":15}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1380,"base":15},"right_expr":{"type":"numeric_atoms","value":3115,"base":15}}},"used_operators":["rxpJgHHUmx","DIvbN7qnHd","rJVOvQCfKK"],"dependent_operators":["AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=2826","layer":2},{"info":"compute unary expreesion, input=2826, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":1},{"info":"number node, value=1380","layer":2},{"info":"number node, value=3115","layer":2},{"info":"compute binary expreesion, left_input=1380, right_input=3115, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3115","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=3115, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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":15,"result_base":15,"text":"(⫶⩼⫲C86⊠≄⫣)≭(⫶⩼⫲620⨎⫶⩼⫲DCA)=NaN","reverse_text":"NaN=(⫶⩼⫲C86⊠≄⫣)≭(⫶⩼⫲620⨎⫶⩼⫲DCA)","cot":[{"info":"⫶⩼⫲C86⊠≄⫣=⫶⩼⫲0","layer":1},{"info":"⫶⩼⫲620⨎⫶⩼⫲DCA=⫶⩼⫲DCA","layer":1},{"info":"⫶⩼⫲0≭⫶⩼⫲DCA=NaN","layer":0}]}
{"id":734,"expression_no_base_symbol":"(⨞⊢$1426$)⩚⊴⇥$4613$⨟⋌⩍$1178$","expression":"(⨞⊢⫶⩼⫲651)⩚⊴⇥⫶⩼⫲1578⨟⋌⩍⫶⩼⫲538","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6,"operation_count":3,"complexity_ratio":2.0,"tree":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":1426,"base":15}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":4613,"base":15},"right_expr":{"type":"numeric_atoms","value":1178,"base":15}}},"used_operators":["NTOWxs364D","xUOZtlo3hN","rGHVDoGpnC"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1426","layer":2},{"info":"compute unary expreesion, input=1426, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1600","layer":1},{"info":"number node, value=4613","layer":2},{"info":"number node, value=1178","layer":2},{"info":"compute binary expreesion, left_input=4613, right_input=1178, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=-1600, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"(⨞⊢⫶⩼⫲651)⩚⊴⇥⫶⩼⫲1578⨟⋌⩍⫶⩼⫲538=NaN","reverse_text":"NaN=(⨞⊢⫶⩼⫲651)⩚⊴⇥⫶⩼⫲1578⨟⋌⩍⫶⩼⫲538","cot":[{"info":"⨞⊢⫶⩼⫲651=⫶⩼⫲-71A","layer":1},{"info":"⫶⩼⫲1578⨟⋌⩍⫶⩼⫲538=NaN","layer":1},{"info":"⫶⩼⫲-71A⩚⊴⇥NaN=NaN","layer":0}]}
{"id":735,"expression_no_base_symbol":"($4573$⋳⪒$2820$)≎⊠⪸$4034$⪛$7462$","expression":"(⫶⩼⫲154D⋳⪒⫶⩼⫲C80)≎⊠⪸⫶⩼⫲12DE⪛⫶⩼⫲2327","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":281,"operation_count":3,"complexity_ratio":93.66666666666667,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":4573,"base":15},"right_expr":{"type":"numeric_atoms","value":2820,"base":15}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":4034,"base":15},"right_expr":{"type":"numeric_atoms","value":7462,"base":15}}},"used_operators":["bJkvcejdHO","12rbrZMWeM","uFcxV4UQCh"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"⫶⩼⫲20D46D","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=4573","layer":2},{"info":"number node, value=2820","layer":2},{"info":"compute binary expreesion, left_input=4573, right_input=2820, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=6039","layer":1},{"info":"number node, value=4034","layer":2},{"info":"number node, value=7462","layer":2},{"info":"compute binary expreesion, left_input=4034, right_input=7462, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=4034","layer":1},{"info":"compute binary expreesion, left_input=6039, right_input=4034, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1563628","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲154D⋳⪒⫶⩼⫲C80)≎⊠⪸⫶⩼⫲12DE⪛⫶⩼⫲2327=⫶⩼⫲20D46D","reverse_text":"⫶⩼⫲20D46D=(⫶⩼⫲154D⋳⪒⫶⩼⫲C80)≎⊠⪸⫶⩼⫲12DE⪛⫶⩼⫲2327","cot":[{"info":"⫶⩼⫲154D⋳⪒⫶⩼⫲C80=⫶⩼⫲1BC9","layer":1},{"info":"⫶⩼⫲12DE⪛⫶⩼⫲2327=⫶⩼⫲12DE","layer":1},{"info":"⫶⩼⫲1BC9≎⊠⪸⫶⩼⫲12DE=⫶⩼⫲20D46D","layer":0}]}
{"id":736,"expression_no_base_symbol":"$3122$≧⫂∧$3932$⋷$3040$≎⊠⪸$4492$","expression":"⫶⩼⫲DD2≧⫂∧⫶⩼⫲1272⋷⫶⩼⫲D7A≎⊠⪸⫶⩼⫲14E7","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":274,"operation_count":3,"complexity_ratio":91.33333333333333,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":3122,"base":15},"right_expr":{"type":"numeric_atoms","value":3932,"base":15}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":3040,"base":15},"right_expr":{"type":"numeric_atoms","value":4492,"base":15}}},"used_operators":["23Mk6UjR3U","Ph9nP6C5qx","bJkvcejdHO"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"⫶⩼⫲21042A","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=3122","layer":2},{"info":"number node, value=3932","layer":2},{"info":"compute binary expreesion, left_input=3122, right_input=3932, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=3459","layer":1},{"info":"number node, value=3040","layer":2},{"info":"number node, value=4492","layer":2},{"info":"compute binary expreesion, left_input=3040, right_input=4492, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=786887","layer":1},{"info":"compute binary expreesion, left_input=3459, right_input=786887, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=1570315","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲DD2≧⫂∧⫶⩼⫲1272⋷⫶⩼⫲D7A≎⊠⪸⫶⩼⫲14E7=⫶⩼⫲21042A","reverse_text":"⫶⩼⫲21042A=⫶⩼⫲DD2≧⫂∧⫶⩼⫲1272⋷⫶⩼⫲D7A≎⊠⪸⫶⩼⫲14E7","cot":[{"info":"⫶⩼⫲DD2≧⫂∧⫶⩼⫲1272=⫶⩼⫲1059","layer":1},{"info":"⫶⩼⫲D7A≎⊠⪸⫶⩼⫲14E7=⫶⩼⫲108242","layer":1},{"info":"⫶⩼⫲1059⋷⫶⩼⫲108242=⫶⩼⫲21042A","layer":0}]}
{"id":737,"expression_no_base_symbol":"($1200$↺$2105$)⨪↰⇹($3641$⨸⪁$4438$)","expression":"(⫶⩼⫲550↺⫶⩼⫲955)⨪↰⇹(⫶⩼⫲112B⨸⪁⫶⩼⫲14AD)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2110,"operation_count":3,"complexity_ratio":703.3333333333334,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1200,"base":15},"right_expr":{"type":"numeric_atoms","value":2105,"base":15}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":3641,"base":15},"right_expr":{"type":"numeric_atoms","value":4438,"base":15}}},"used_operators":["tmPS8pqC7x","7j4O788W3g","g55IO6H4Gj"],"dependent_operators":["rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"⫶⩼⫲955","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1200","layer":2},{"info":"number node, value=2105","layer":2},{"info":"compute binary expreesion, left_input=1200, right_input=2105, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2105","layer":1},{"info":"number node, value=3641","layer":2},{"info":"number node, value=4438","layer":2},{"info":"compute binary expreesion, left_input=3641, right_input=4438, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=16158","layer":1},{"info":"compute binary expreesion, left_input=2105, right_input=16158, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=2105","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲550↺⫶⩼⫲955)⨪↰⇹(⫶⩼⫲112B⨸⪁⫶⩼⫲14AD)=⫶⩼⫲955","reverse_text":"⫶⩼⫲955=(⫶⩼⫲550↺⫶⩼⫲955)⨪↰⇹(⫶⩼⫲112B⨸⪁⫶⩼⫲14AD)","cot":[{"info":"⫶⩼⫲550↺⫶⩼⫲955=⫶⩼⫲955","layer":1},{"info":"⫶⩼⫲112B⨸⪁⫶⩼⫲14AD=⫶⩼⫲4BC3","layer":1},{"info":"⫶⩼⫲955⨪↰⇹⫶⩼⫲4BC3=⫶⩼⫲955","layer":0}]}
{"id":738,"expression_no_base_symbol":"$4278$↺$3728$∲⫓$1236$⪮%⊝$3268$","expression":"⫶⩼⫲1403↺⫶⩼⫲1188∲⫓⫶⩼⫲576⪮%⊝⫶⩼⫲E7D","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":13,"operation_count":3,"complexity_ratio":4.333333333333333,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":4278,"base":15},"right_expr":{"type":"numeric_atoms","value":3728,"base":15}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1236,"base":15},"right_expr":{"type":"numeric_atoms","value":3268,"base":15}}},"used_operators":["i8ToyICDmI","7j4O788W3g","IWmyXbctLI"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"⫶⩼⫲0","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=4278","layer":2},{"info":"number node, value=3728","layer":2},{"info":"compute binary expreesion, left_input=4278, right_input=3728, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3728","layer":1},{"info":"number node, value=1236","layer":2},{"info":"number node, value=3268","layer":2},{"info":"compute binary expreesion, left_input=1236, right_input=3268, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=2788","layer":1},{"info":"compute binary expreesion, left_input=3728, right_input=2788, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲1403↺⫶⩼⫲1188∲⫓⫶⩼⫲576⪮%⊝⫶⩼⫲E7D=⫶⩼⫲0","reverse_text":"⫶⩼⫲0=⫶⩼⫲1403↺⫶⩼⫲1188∲⫓⫶⩼⫲576⪮%⊝⫶⩼⫲E7D","cot":[{"info":"⫶⩼⫲1403↺⫶⩼⫲1188=⫶⩼⫲1188","layer":1},{"info":"⫶⩼⫲576⪮%⊝⫶⩼⫲E7D=⫶⩼⫲C5D","layer":1},{"info":"⫶⩼⫲1188∲⫓⫶⩼⫲C5D=⫶⩼⫲0","layer":0}]}
{"id":739,"expression_no_base_symbol":"(⇁⨣⪵$1062$)∲⫓$1790$⨸⪁$4656$","expression":"(⇁⨣⪵⫶⩼⫲4AC)∲⫓⫶⩼⫲7E5⨸⪁⫶⩼⫲15A6","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6,"operation_count":3,"complexity_ratio":2.0,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1062,"base":15}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1790,"base":15},"right_expr":{"type":"numeric_atoms","value":4656,"base":15}}},"used_operators":["i8ToyICDmI","inkyxCbjAn","g55IO6H4Gj"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","W4YGzv6Whe"],"result":"⫶⩼⫲0","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1062","layer":2},{"info":"compute unary expreesion, input=1062, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":1},{"info":"number node, value=1790","layer":2},{"info":"number node, value=4656","layer":2},{"info":"compute binary expreesion, left_input=1790, right_input=4656, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=12892","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=12892, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":0}],"base":15,"result_base":15,"text":"(⇁⨣⪵⫶⩼⫲4AC)∲⫓⫶⩼⫲7E5⨸⪁⫶⩼⫲15A6=⫶⩼⫲0","reverse_text":"⫶⩼⫲0=(⇁⨣⪵⫶⩼⫲4AC)∲⫓⫶⩼⫲7E5⨸⪁⫶⩼⫲15A6","cot":[{"info":"⇁⨣⪵⫶⩼⫲4AC=NaN","layer":1},{"info":"⫶⩼⫲7E5⨸⪁⫶⩼⫲15A6=⫶⩼⫲3C47","layer":1},{"info":"NaN∲⫓⫶⩼⫲3C47=⫶⩼⫲0","layer":0}]}
{"id":740,"expression_no_base_symbol":"(≤/$1877$)⋝⋈⪟(⇁⨣⪵$2659$)","expression":"(≤/⫶⩼⫲852)⋝⋈⪟(⇁⨣⪵⫶⩼⫲BC4)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5,"operation_count":3,"complexity_ratio":1.6666666666666667,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1877,"base":15}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":2659,"base":15}}},"used_operators":["2DDjHMKMc0","eLAdDNolq6","inkyxCbjAn"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","B5M0gjZbta"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1877","layer":2},{"info":"compute unary expreesion, input=1877, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1393","layer":1},{"info":"number node, value=2659","layer":2},{"info":"compute unary expreesion, input=2659, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-1393, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"(≤/⫶⩼⫲852)⋝⋈⪟(⇁⨣⪵⫶⩼⫲BC4)=NaN","reverse_text":"NaN=(≤/⫶⩼⫲852)⋝⋈⪟(⇁⨣⪵⫶⩼⫲BC4)","cot":[{"info":"≤/⫶⩼⫲852=⫶⩼⫲-62D","layer":1},{"info":"⇁⨣⪵⫶⩼⫲BC4=NaN","layer":1},{"info":"⫶⩼⫲-62D⋝⋈⪟NaN=NaN","layer":0}]}
{"id":741,"expression_no_base_symbol":"$1207$⋳⪒$5499$⪠⩆⊳","expression":"⫶⩼⫲557⋳⪒⫶⩼⫲1969⪠⩆⊳","highest_n_order":1,"priority_hierarchical_complexity":1,"normalized_expansion_degree":13,"operation_count":2,"complexity_ratio":6.5,"tree":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1207,"base":15},"right_expr":{"type":"numeric_atoms","value":5499,"base":15}}},"used_operators":["JLbD19bQDL","12rbrZMWeM"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⫶⩼⫲0","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1207","layer":2},{"info":"number node, value=5499","layer":2},{"info":"compute binary expreesion, left_input=1207, right_input=5499, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-3372","layer":1},{"info":"compute unary expreesion, input=-3372, 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":15,"result_base":15,"text":"⫶⩼⫲557⋳⪒⫶⩼⫲1969⪠⩆⊳=⫶⩼⫲0","reverse_text":"⫶⩼⫲0=⫶⩼⫲557⋳⪒⫶⩼⫲1969⪠⩆⊳","cot":[{"info":"⫶⩼⫲557⋳⪒⫶⩼⫲1969=⫶⩼⫲-EEC","layer":1},{"info":"⫶⩼⫲-EEC⪠⩆⊳=⫶⩼⫲0","layer":0}]}
{"id":742,"expression_no_base_symbol":"≉$5136$⨐⩸⫘$6817$","expression":"≉⫶⩼⫲17C6⨐⩸⫘⫶⩼⫲2047","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2,"operation_count":2,"complexity_ratio":1.0,"tree":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":5136,"base":15},"right_expr":{"type":"numeric_atoms","value":6817,"base":15}}},"used_operators":["e1ybzncUwg","fu6greOZ01"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=5136","layer":2},{"info":"number node, value=6817","layer":2},{"info":"compute binary expreesion, left_input=5136, right_input=6817, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=nan","layer":0}],"base":15,"result_base":15,"text":"≉⫶⩼⫲17C6⨐⩸⫘⫶⩼⫲2047=NaN","reverse_text":"NaN=≉⫶⩼⫲17C6⨐⩸⫘⫶⩼⫲2047","cot":[{"info":"⫶⩼⫲17C6⨐⩸⫘⫶⩼⫲2047=NaN","layer":1},{"info":"≉NaN=NaN","layer":0}]}
{"id":743,"expression_no_base_symbol":"($2248$+$1069$)⪐","expression":"(⫶⩼⫲9ED+⫶⩼⫲4B4)⪐","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3,"operation_count":2,"complexity_ratio":1.5,"tree":{"type":"unary","operator":"⪐","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2248,"base":15},"right_expr":{"type":"numeric_atoms","value":1069,"base":15}}},"used_operators":["eH2TOUuTDT","W4YGzv6Whe"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd"],"result":"⫶⩼⫲1E74","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2248","layer":2},{"info":"number node, value=1069","layer":2},{"info":"compute binary expreesion, left_input=2248, right_input=1069, op_id = W4YGzv6Whe binary_op_definition= 'None', output=3317","layer":1},{"info":"compute unary expreesion, input=3317, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=6634","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲9ED+⫶⩼⫲4B4)⪐=⫶⩼⫲1E74","reverse_text":"⫶⩼⫲1E74=(⫶⩼⫲9ED+⫶⩼⫲4B4)⪐","cot":[{"info":"⫶⩼⫲9ED+⫶⩼⫲4B4=⫶⩼⫲EB2","layer":1},{"info":"⫶⩼⫲EB2⪐=⫶⩼⫲1E74","layer":0}]}
{"id":744,"expression_no_base_symbol":"$2105$⨎$5026$⨎($3618$*$1171$)","expression":"⫶⩼⫲955⨎⫶⩼⫲1751⨎(⫶⩼⫲1113*⫶⩼⫲531)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1173,"operation_count":3,"complexity_ratio":391.0,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2105,"base":15},"right_expr":{"type":"numeric_atoms","value":5026,"base":15}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":3618,"base":15},"right_expr":{"type":"numeric_atoms","value":1171,"base":15}}},"used_operators":["rJVOvQCfKK","9HNa5Wba9A"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe"],"result":"⫶⩼⫲58A4A3","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2105","layer":2},{"info":"number node, value=5026","layer":2},{"info":"compute binary expreesion, left_input=2105, right_input=5026, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=5026","layer":1},{"info":"number node, value=3618","layer":2},{"info":"number node, value=1171","layer":2},{"info":"compute binary expreesion, left_input=3618, right_input=1171, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=4236678","layer":1},{"info":"compute binary expreesion, left_input=5026, right_input=4236678, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=4236678","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲955⨎⫶⩼⫲1751⨎(⫶⩼⫲1113*⫶⩼⫲531)=⫶⩼⫲58A4A3","reverse_text":"⫶⩼⫲58A4A3=⫶⩼⫲955⨎⫶⩼⫲1751⨎(⫶⩼⫲1113*⫶⩼⫲531)","cot":[{"info":"⫶⩼⫲955⨎⫶⩼⫲1751=⫶⩼⫲1751","layer":1},{"info":"⫶⩼⫲1113*⫶⩼⫲531=⫶⩼⫲58A4A3","layer":1},{"info":"⫶⩼⫲1751⨎⫶⩼⫲58A4A3=⫶⩼⫲58A4A3","layer":0}]}
{"id":745,"expression_no_base_symbol":"(⨰⫟⨤$8187$)≎⊠⪸($1028$⋷$2997$)","expression":"(⨰⫟⨤⫶⩼⫲265C)≎⊠⪸(⫶⩼⫲488⋷⫶⩼⫲D4C)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":31923,"operation_count":3,"complexity_ratio":10641.0,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":8187,"base":15}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1028,"base":15},"right_expr":{"type":"numeric_atoms","value":2997,"base":15}}},"used_operators":["bJkvcejdHO","Tw270M8GLb","23Mk6UjR3U"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=8187","layer":2},{"info":"compute unary expreesion, input=8187, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":1},{"info":"number node, value=1028","layer":2},{"info":"number node, value=2997","layer":2},{"info":"compute binary expreesion, left_input=1028, right_input=2997, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=4966","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=4966, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=nan","layer":0}],"base":15,"result_base":15,"text":"(⨰⫟⨤⫶⩼⫲265C)≎⊠⪸(⫶⩼⫲488⋷⫶⩼⫲D4C)=NaN","reverse_text":"NaN=(⨰⫟⨤⫶⩼⫲265C)≎⊠⪸(⫶⩼⫲488⋷⫶⩼⫲D4C)","cot":[{"info":"⨰⫟⨤⫶⩼⫲265C=NaN","layer":1},{"info":"⫶⩼⫲488⋷⫶⩼⫲D4C=⫶⩼⫲1711","layer":1},{"info":"NaN≎⊠⪸⫶⩼⫲1711=NaN","layer":0}]}
{"id":746,"expression_no_base_symbol":"($2412$⨐⩸⫘$2572$)⋳⪒($3629$⩨$1152$)","expression":"(⫶⩼⫲AAC⨐⩸⫘⫶⩼⫲B67)⋳⪒(⫶⩼⫲111E⩨⫶⩼⫲51C)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":12,"operation_count":3,"complexity_ratio":4.0,"tree":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2412,"base":15},"right_expr":{"type":"numeric_atoms","value":2572,"base":15}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":3629,"base":15},"right_expr":{"type":"numeric_atoms","value":1152,"base":15}}},"used_operators":["12rbrZMWeM","fu6greOZ01","2DlMacCsIx"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=2412","layer":2},{"info":"number node, value=2572","layer":2},{"info":"compute binary expreesion, left_input=2412, right_input=2572, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=3629","layer":2},{"info":"number node, value=1152","layer":2},{"info":"compute binary expreesion, left_input=3629, right_input=1152, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲AAC⨐⩸⫘⫶⩼⫲B67)⋳⪒(⫶⩼⫲111E⩨⫶⩼⫲51C)=NaN","reverse_text":"NaN=(⫶⩼⫲AAC⨐⩸⫘⫶⩼⫲B67)⋳⪒(⫶⩼⫲111E⩨⫶⩼⫲51C)","cot":[{"info":"⫶⩼⫲AAC⨐⩸⫘⫶⩼⫲B67=NaN","layer":1},{"info":"⫶⩼⫲111E⩨⫶⩼⫲51C=⫶⩼⫲0","layer":1},{"info":"NaN⋳⪒⫶⩼⫲0=NaN","layer":0}]}
{"id":747,"expression_no_base_symbol":"($2561$⫸⊐$1651$)⋳⪒(≤/$1328$)","expression":"(⫶⩼⫲B5B⫸⊐⫶⩼⫲751)⋳⪒(≤/⫶⩼⫲5D8)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":32,"operation_count":3,"complexity_ratio":10.666666666666666,"tree":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2561,"base":15},"right_expr":{"type":"numeric_atoms","value":1651,"base":15}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1328,"base":15}}},"used_operators":["12rbrZMWeM","mqXw5SEYmG","eLAdDNolq6"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z"],"result":"⫶⩼⫲4010","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2561","layer":2},{"info":"number node, value=1651","layer":2},{"info":"compute binary expreesion, left_input=2561, right_input=1651, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=6479","layer":1},{"info":"number node, value=1328","layer":2},{"info":"compute unary expreesion, input=1328, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-844","layer":1},{"info":"compute binary expreesion, left_input=6479, right_input=-844, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=13515","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲B5B⫸⊐⫶⩼⫲751)⋳⪒(≤/⫶⩼⫲5D8)=⫶⩼⫲4010","reverse_text":"⫶⩼⫲4010=(⫶⩼⫲B5B⫸⊐⫶⩼⫲751)⋳⪒(≤/⫶⩼⫲5D8)","cot":[{"info":"⫶⩼⫲B5B⫸⊐⫶⩼⫲751=⫶⩼⫲1DBE","layer":1},{"info":"≤/⫶⩼⫲5D8=⫶⩼⫲-3B4","layer":1},{"info":"⫶⩼⫲1DBE⋳⪒⫶⩼⫲-3B4=⫶⩼⫲4010","layer":0}]}
{"id":748,"expression_no_base_symbol":"∥⊫(⇁⨣⪵$2490$)","expression":"∥⊫(⇁⨣⪵⫶⩼⫲B10)","highest_n_order":5,"priority_hierarchical_complexity":1,"normalized_expansion_degree":4,"operation_count":2,"complexity_ratio":2.0,"tree":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":2490,"base":15}}},"used_operators":["P8v4zCKN1o","inkyxCbjAn"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=2490","layer":2},{"info":"compute unary expreesion, input=2490, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬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":15,"result_base":15,"text":"∥⊫(⇁⨣⪵⫶⩼⫲B10)=NaN","reverse_text":"NaN=∥⊫(⇁⨣⪵⫶⩼⫲B10)","cot":[{"info":"⇁⨣⪵⫶⩼⫲B10=NaN","layer":1},{"info":"∥⊫NaN=NaN","layer":0}]}
{"id":749,"expression_no_base_symbol":"($1384$⊉≛↸$4552$)⨽$4382$+⇶⊼$2418$","expression":"(⫶⩼⫲624⊉≛↸⫶⩼⫲1537)⨽⫶⩼⫲1472+⇶⊼⫶⩼⫲AB3","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2780,"operation_count":3,"complexity_ratio":926.6666666666666,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1384,"base":15},"right_expr":{"type":"numeric_atoms","value":4552,"base":15}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":4382,"base":15},"right_expr":{"type":"numeric_atoms","value":2418,"base":15}}},"used_operators":["8HhzD0ZcuI","DZ8iAZOCBD","TpPTUOHfaN"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1384","layer":2},{"info":"number node, value=4552","layer":2},{"info":"compute binary expreesion, left_input=1384, right_input=4552, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2768","layer":1},{"info":"number node, value=4382","layer":2},{"info":"number node, value=2418","layer":2},{"info":"compute binary expreesion, left_input=4382, right_input=2418, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=2768, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲624⊉≛↸⫶⩼⫲1537)⨽⫶⩼⫲1472+⇶⊼⫶⩼⫲AB3=NaN","reverse_text":"NaN=(⫶⩼⫲624⊉≛↸⫶⩼⫲1537)⨽⫶⩼⫲1472+⇶⊼⫶⩼⫲AB3","cot":[{"info":"⫶⩼⫲624⊉≛↸⫶⩼⫲1537=⫶⩼⫲C48","layer":1},{"info":"⫶⩼⫲1472+⇶⊼⫶⩼⫲AB3=NaN","layer":1},{"info":"⫶⩼⫲C48⨽NaN=NaN","layer":0}]}
{"id":750,"expression_no_base_symbol":"($2145$⨸⪁$5040$)⋝⋈⪟($1627$⪐)","expression":"(⫶⩼⫲980⨸⪁⫶⩼⫲1760)⋝⋈⪟(⫶⩼⫲737⪐)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":8,"operation_count":3,"complexity_ratio":2.6666666666666665,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2145,"base":15},"right_expr":{"type":"numeric_atoms","value":5040,"base":15}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":1627,"base":15}}},"used_operators":["2DDjHMKMc0","g55IO6H4Gj","eH2TOUuTDT"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd"],"result":"⫶⩼⫲43D0","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=2145","layer":2},{"info":"number node, value=5040","layer":2},{"info":"compute binary expreesion, left_input=2145, right_input=5040, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=14370","layer":1},{"info":"number node, value=1627","layer":2},{"info":"compute unary expreesion, input=1627, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=3254","layer":1},{"info":"compute binary expreesion, left_input=14370, right_input=3254, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=14370","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲980⨸⪁⫶⩼⫲1760)⋝⋈⪟(⫶⩼⫲737⪐)=⫶⩼⫲43D0","reverse_text":"⫶⩼⫲43D0=(⫶⩼⫲980⨸⪁⫶⩼⫲1760)⋝⋈⪟(⫶⩼⫲737⪐)","cot":[{"info":"⫶⩼⫲980⨸⪁⫶⩼⫲1760=⫶⩼⫲43D0","layer":1},{"info":"⫶⩼⫲737⪐=⫶⩼⫲E6E","layer":1},{"info":"⫶⩼⫲43D0⋝⋈⪟⫶⩼⫲E6E=⫶⩼⫲43D0","layer":0}]}
{"id":751,"expression_no_base_symbol":"$2358$≭$5057$%$1116$+⇶⊼$2345$","expression":"⫶⩼⫲A73≭⫶⩼⫲1772%⫶⩼⫲4E6+⇶⊼⫶⩼⫲A65","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3,"operation_count":3,"complexity_ratio":1.0,"tree":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2358,"base":15},"right_expr":{"type":"numeric_atoms","value":5057,"base":15}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1116,"base":15},"right_expr":{"type":"numeric_atoms","value":2345,"base":15}}},"used_operators":["k8jYdgA6NY","rxpJgHHUmx","TpPTUOHfaN"],"dependent_operators":["rysDP5nf3Z","AHs5Up7iyr","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=2358","layer":2},{"info":"number node, value=5057","layer":2},{"info":"compute binary expreesion, left_input=2358, right_input=5057, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=1116","layer":2},{"info":"number node, value=2345","layer":2},{"info":"compute binary expreesion, left_input=1116, right_input=2345, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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 = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲A73≭⫶⩼⫲1772%⫶⩼⫲4E6+⇶⊼⫶⩼⫲A65=NaN","reverse_text":"NaN=⫶⩼⫲A73≭⫶⩼⫲1772%⫶⩼⫲4E6+⇶⊼⫶⩼⫲A65","cot":[{"info":"⫶⩼⫲A73≭⫶⩼⫲1772=NaN","layer":1},{"info":"⫶⩼⫲4E6+⇶⊼⫶⩼⫲A65=NaN","layer":1},{"info":"NaN%NaN=NaN","layer":0}]}
{"id":752,"expression_no_base_symbol":"⊙↵-($6121$⫡⨏$3449$)","expression":"⊙↵-(⫶⩼⫲1C31⫡⨏⫶⩼⫲104E)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":38339,"operation_count":2,"complexity_ratio":19169.5,"tree":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":6121,"base":15},"right_expr":{"type":"numeric_atoms","value":3449,"base":15}}},"used_operators":["oWn0xqSxBt","QMFrweE19q"],"dependent_operators":["dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd"],"result":"⫶⩼⫲-1","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=6121","layer":2},{"info":"number node, value=3449","layer":2},{"info":"compute binary expreesion, left_input=6121, right_input=3449, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=38286","layer":1},{"info":"compute unary expreesion, input=38286, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":0}],"base":15,"result_base":15,"text":"⊙↵-(⫶⩼⫲1C31⫡⨏⫶⩼⫲104E)=⫶⩼⫲-1","reverse_text":"⫶⩼⫲-1=⊙↵-(⫶⩼⫲1C31⫡⨏⫶⩼⫲104E)","cot":[{"info":"⫶⩼⫲1C31⫡⨏⫶⩼⫲104E=⫶⩼⫲B526","layer":1},{"info":"⊙↵-⫶⩼⫲B526=⫶⩼⫲-1","layer":0}]}
{"id":753,"expression_no_base_symbol":"(⋗⩬⋾$5142$)+(⋗⩬⋾$3630$)","expression":"(⋗⩬⋾⫶⩼⫲17CC)+(⋗⩬⋾⫶⩼⫲1120)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":7,"operation_count":3,"complexity_ratio":2.3333333333333335,"tree":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":5142,"base":15}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":3630,"base":15}}},"used_operators":["W4YGzv6Whe","DpFCA1CohY"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫶⩼⫲-7BE6","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=5142","layer":2},{"info":"compute unary expreesion, input=5142, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-15426","layer":1},{"info":"number node, value=3630","layer":2},{"info":"compute unary expreesion, input=3630, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-10890","layer":1},{"info":"compute binary expreesion, left_input=-15426, right_input=-10890, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-26316","layer":0}],"base":15,"result_base":15,"text":"(⋗⩬⋾⫶⩼⫲17CC)+(⋗⩬⋾⫶⩼⫲1120)=⫶⩼⫲-7BE6","reverse_text":"⫶⩼⫲-7BE6=(⋗⩬⋾⫶⩼⫲17CC)+(⋗⩬⋾⫶⩼⫲1120)","cot":[{"info":"⋗⩬⋾⫶⩼⫲17CC=⫶⩼⫲-4886","layer":1},{"info":"⋗⩬⋾⫶⩼⫲1120=⫶⩼⫲-3360","layer":1},{"info":"⫶⩼⫲-4886+⫶⩼⫲-3360=⫶⩼⫲-7BE6","layer":0}]}
{"id":754,"expression_no_base_symbol":"(↩$5042$)⋷(≤/$5602$)","expression":"(↩⫶⩼⫲1762)⋷(≤/⫶⩼⫲19D7)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":19,"operation_count":3,"complexity_ratio":6.333333333333333,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":5042,"base":15}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":5602,"base":15}}},"used_operators":["23Mk6UjR3U","jLgFTUHLKL","eLAdDNolq6"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z"],"result":"⫶⩼⫲173C7","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=5042","layer":2},{"info":"compute unary expreesion, input=5042, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-37556","layer":1},{"info":"number node, value=5602","layer":2},{"info":"compute unary expreesion, input=5602, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-5118","layer":1},{"info":"compute binary expreesion, left_input=-37556, right_input=-5118, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=75112","layer":0}],"base":15,"result_base":15,"text":"(↩⫶⩼⫲1762)⋷(≤/⫶⩼⫲19D7)=⫶⩼⫲173C7","reverse_text":"⫶⩼⫲173C7=(↩⫶⩼⫲1762)⋷(≤/⫶⩼⫲19D7)","cot":[{"info":"↩⫶⩼⫲1762=⫶⩼⫲-B1DB","layer":1},{"info":"≤/⫶⩼⫲19D7=⫶⩼⫲-17B3","layer":1},{"info":"⫶⩼⫲-B1DB⋷⫶⩼⫲-17B3=⫶⩼⫲173C7","layer":0}]}
{"id":755,"expression_no_base_symbol":"($1055$⊭↱$1544$)⨳⩥⨓$1213$+⇶⊼$3152$","expression":"(⫶⩼⫲4A5⊭↱⫶⩼⫲6CE)⨳⩥⨓⫶⩼⫲55D+⇶⊼⫶⩼⫲E02","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":10,"operation_count":3,"complexity_ratio":3.3333333333333335,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1055,"base":15},"right_expr":{"type":"numeric_atoms","value":1544,"base":15}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1213,"base":15},"right_expr":{"type":"numeric_atoms","value":3152,"base":15}}},"used_operators":["nCS4ZIUYfx","COABgblf1C","TpPTUOHfaN"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1055","layer":2},{"info":"number node, value=1544","layer":2},{"info":"compute binary expreesion, left_input=1055, right_input=1544, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=983","layer":1},{"info":"number node, value=1213","layer":2},{"info":"number node, value=3152","layer":2},{"info":"compute binary expreesion, left_input=1213, right_input=3152, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=983, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲4A5⊭↱⫶⩼⫲6CE)⨳⩥⨓⫶⩼⫲55D+⇶⊼⫶⩼⫲E02=NaN","reverse_text":"NaN=(⫶⩼⫲4A5⊭↱⫶⩼⫲6CE)⨳⩥⨓⫶⩼⫲55D+⇶⊼⫶⩼⫲E02","cot":[{"info":"⫶⩼⫲4A5⊭↱⫶⩼⫲6CE=⫶⩼⫲458","layer":1},{"info":"⫶⩼⫲55D+⇶⊼⫶⩼⫲E02=NaN","layer":1},{"info":"⫶⩼⫲458⨳⩥⨓NaN=NaN","layer":0}]}
{"id":756,"expression_no_base_symbol":"(≉$1906$)⩤","expression":"(≉⫶⩼⫲871)⩤","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3,"operation_count":2,"complexity_ratio":1.5,"tree":{"type":"unary","operator":"⩤","unary_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1906,"base":15}}},"used_operators":["Z2TMIBDE3Q","e1ybzncUwg"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⫶⩼⫲-AC7","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1906","layer":2},{"info":"compute unary expreesion, input=1906, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=2437","layer":1},{"info":"compute unary expreesion, input=2437, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-2437","layer":0}],"base":15,"result_base":15,"text":"(≉⫶⩼⫲871)⩤=⫶⩼⫲-AC7","reverse_text":"⫶⩼⫲-AC7=(≉⫶⩼⫲871)⩤","cot":[{"info":"≉⫶⩼⫲871=⫶⩼⫲AC7","layer":1},{"info":"⫶⩼⫲AC7⩤=⫶⩼⫲-AC7","layer":0}]}
{"id":757,"expression_no_base_symbol":"$6701$⫥∨⫟$2940$⋷$5420$⇷$1495$","expression":"⫶⩼⫲1EBB⫥∨⫟⫶⩼⫲D10⋷⫶⩼⫲1915⇷⫶⩼⫲69A","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":76042,"operation_count":3,"complexity_ratio":25347.333333333332,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":6701,"base":15},"right_expr":{"type":"numeric_atoms","value":2940,"base":15}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":5420,"base":15},"right_expr":{"type":"numeric_atoms","value":1495,"base":15}}},"used_operators":["23Mk6UjR3U","KYD54nUTWz","mp7IySMOzn"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=6701","layer":2},{"info":"number node, value=2940","layer":2},{"info":"compute binary expreesion, left_input=6701, right_input=2940, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=5420","layer":2},{"info":"number node, value=1495","layer":2},{"info":"compute binary expreesion, left_input=5420, right_input=1495, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2990","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2990, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲1EBB⫥∨⫟⫶⩼⫲D10⋷⫶⩼⫲1915⇷⫶⩼⫲69A=NaN","reverse_text":"NaN=⫶⩼⫲1EBB⫥∨⫟⫶⩼⫲D10⋷⫶⩼⫲1915⇷⫶⩼⫲69A","cot":[{"info":"⫶⩼⫲1EBB⫥∨⫟⫶⩼⫲D10=NaN","layer":1},{"info":"⫶⩼⫲1915⇷⫶⩼⫲69A=⫶⩼⫲D45","layer":1},{"info":"NaN⋷⫶⩼⫲D45=NaN","layer":0}]}
{"id":758,"expression_no_base_symbol":"(⨈⫕$1584$)⨽$3525$⪢$2737$","expression":"(⨈⫕⫶⩼⫲709)⨽⫶⩼⫲10A0⪢⫶⩼⫲C27","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3571,"operation_count":3,"complexity_ratio":1190.3333333333333,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":1584,"base":15}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":3525,"base":15},"right_expr":{"type":"numeric_atoms","value":2737,"base":15}}},"used_operators":["8HhzD0ZcuI","megm06wKyl","dWAJyo7jo9"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1584","layer":2},{"info":"compute unary expreesion, input=1584, 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=3525","layer":2},{"info":"number node, value=2737","layer":2},{"info":"compute binary expreesion, left_input=3525, right_input=2737, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-21, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"(⨈⫕⫶⩼⫲709)⨽⫶⩼⫲10A0⪢⫶⩼⫲C27=NaN","reverse_text":"NaN=(⨈⫕⫶⩼⫲709)⨽⫶⩼⫲10A0⪢⫶⩼⫲C27","cot":[{"info":"⨈⫕⫶⩼⫲709=⫶⩼⫲-16","layer":1},{"info":"⫶⩼⫲10A0⪢⫶⩼⫲C27=NaN","layer":1},{"info":"⫶⩼⫲-16⨽NaN=NaN","layer":0}]}
{"id":759,"expression_no_base_symbol":"≉$1803$⨎$8779$","expression":"≉⫶⩼⫲803⨎⫶⩼⫲2904","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3,"operation_count":2,"complexity_ratio":1.5,"tree":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1803,"base":15},"right_expr":{"type":"numeric_atoms","value":8779,"base":15}}},"used_operators":["e1ybzncUwg","rJVOvQCfKK"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"⫶⩼⫲2B5A","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1803","layer":2},{"info":"number node, value=8779","layer":2},{"info":"compute binary expreesion, left_input=1803, right_input=8779, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=8779","layer":1},{"info":"compute unary expreesion, input=8779, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=9310","layer":0}],"base":15,"result_base":15,"text":"≉⫶⩼⫲803⨎⫶⩼⫲2904=⫶⩼⫲2B5A","reverse_text":"⫶⩼⫲2B5A=≉⫶⩼⫲803⨎⫶⩼⫲2904","cot":[{"info":"⫶⩼⫲803⨎⫶⩼⫲2904=⫶⩼⫲2904","layer":1},{"info":"≉⫶⩼⫲2904=⫶⩼⫲2B5A","layer":0}]}
{"id":760,"expression_no_base_symbol":"⨰⫟⨤$7808$∼$1440$","expression":"⨰⫟⨤⫶⩼⫲24A8∼⫶⩼⫲660","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":184,"operation_count":2,"complexity_ratio":92.0,"tree":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":7808,"base":15},"right_expr":{"type":"numeric_atoms","value":1440,"base":15}}},"used_operators":["Tw270M8GLb","DyGG3AbaNP"],"dependent_operators":["sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=7808","layer":2},{"info":"number node, value=1440","layer":2},{"info":"compute binary expreesion, left_input=7808, right_input=1440, 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 = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"⨰⫟⨤⫶⩼⫲24A8∼⫶⩼⫲660=NaN","reverse_text":"NaN=⨰⫟⨤⫶⩼⫲24A8∼⫶⩼⫲660","cot":[{"info":"⫶⩼⫲24A8∼⫶⩼⫲660=NaN","layer":1},{"info":"⨰⫟⨤NaN=NaN","layer":0}]}
{"id":761,"expression_no_base_symbol":"($4001$↬$3242$)⪢($3400$∀⇚≩$1127$)","expression":"(⫶⩼⫲12BB↬⫶⩼⫲E62)⪢(⫶⩼⫲101A∀⇚≩⫶⩼⫲502)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":23802,"operation_count":3,"complexity_ratio":7934.0,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":4001,"base":15},"right_expr":{"type":"numeric_atoms","value":3242,"base":15}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":3400,"base":15},"right_expr":{"type":"numeric_atoms","value":1127,"base":15}}},"used_operators":["dWAJyo7jo9","B5M0gjZbta","LRNGc0VcxI"],"dependent_operators":["k8jYdgA6NY","rGHVDoGpnC","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=4001","layer":2},{"info":"number node, value=3242","layer":2},{"info":"compute binary expreesion, left_input=4001, right_input=3242, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=3400","layer":2},{"info":"number node, value=1127","layer":2},{"info":"compute binary expreesion, left_input=3400, right_input=1127, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲12BB↬⫶⩼⫲E62)⪢(⫶⩼⫲101A∀⇚≩⫶⩼⫲502)=NaN","reverse_text":"NaN=(⫶⩼⫲12BB↬⫶⩼⫲E62)⪢(⫶⩼⫲101A∀⇚≩⫶⩼⫲502)","cot":[{"info":"⫶⩼⫲12BB↬⫶⩼⫲E62=NaN","layer":1},{"info":"⫶⩼⫲101A∀⇚≩⫶⩼⫲502=NaN","layer":1},{"info":"NaN⪢NaN=NaN","layer":0}]}
{"id":762,"expression_no_base_symbol":"$1077$⪢$1089$⋫","expression":"⫶⩼⫲4BC⪢⫶⩼⫲4C9⋫","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1090,"operation_count":2,"complexity_ratio":545.0,"tree":{"type":"unary","operator":"⋫","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1077,"base":15},"right_expr":{"type":"numeric_atoms","value":1089,"base":15}}},"used_operators":["JL8yIekQnl","dWAJyo7jo9"],"dependent_operators":["tmPS8pqC7x","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1077","layer":2},{"info":"number node, value=1089","layer":2},{"info":"compute binary expreesion, left_input=1077, right_input=1089, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲4BC⪢⫶⩼⫲4C9⋫=NaN","reverse_text":"NaN=⫶⩼⫲4BC⪢⫶⩼⫲4C9⋫","cot":[{"info":"⫶⩼⫲4BC⪢⫶⩼⫲4C9=NaN","layer":1},{"info":"NaN⋫=NaN","layer":0}]}
{"id":763,"expression_no_base_symbol":"(⨰⫟⨤$8975$)⋥≓≎(≉$5979$)","expression":"(⨰⫟⨤⫶⩼⫲29D5)⋥≓≎(≉⫶⩼⫲1B89)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":35064,"operation_count":3,"complexity_ratio":11688.0,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":8975,"base":15}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":5979,"base":15}}},"used_operators":["Qy55tPpLXF","Tw270M8GLb","e1ybzncUwg"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","W4YGzv6Whe","t8gj7n24qd"],"result":"⫶⩼⫲47","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=8975","layer":2},{"info":"compute unary expreesion, input=8975, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":1},{"info":"number node, value=5979","layer":2},{"info":"compute unary expreesion, input=5979, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=6510","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=6510, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":0}],"base":15,"result_base":15,"text":"(⨰⫟⨤⫶⩼⫲29D5)⋥≓≎(≉⫶⩼⫲1B89)=⫶⩼⫲47","reverse_text":"⫶⩼⫲47=(⨰⫟⨤⫶⩼⫲29D5)⋥≓≎(≉⫶⩼⫲1B89)","cot":[{"info":"⨰⫟⨤⫶⩼⫲29D5=NaN","layer":1},{"info":"≉⫶⩼⫲1B89=⫶⩼⫲1DE0","layer":1},{"info":"NaN⋥≓≎⫶⩼⫲1DE0=⫶⩼⫲47","layer":0}]}
{"id":764,"expression_no_base_symbol":"($5006$⋥≓≎$3963$)⪘⫢($5599$⋳⪒$3778$)","expression":"(⫶⩼⫲173B⋥≓≎⫶⩼⫲1293)⪘⫢(⫶⩼⫲19D4⋳⪒⫶⩼⫲11BD)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":26,"operation_count":3,"complexity_ratio":8.666666666666666,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":5006,"base":15},"right_expr":{"type":"numeric_atoms","value":3963,"base":15}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":5599,"base":15},"right_expr":{"type":"numeric_atoms","value":3778,"base":15}}},"used_operators":["oacrs7FA3X","Qy55tPpLXF","12rbrZMWeM"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⫶⩼⫲1AA7","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=5006","layer":2},{"info":"number node, value=3963","layer":2},{"info":"compute binary expreesion, left_input=5006, right_input=3963, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=2953","layer":1},{"info":"number node, value=5599","layer":2},{"info":"number node, value=3778","layer":2},{"info":"compute binary expreesion, left_input=5599, right_input=3778, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=7133","layer":1},{"info":"compute binary expreesion, left_input=2953, right_input=7133, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=5782","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲173B⋥≓≎⫶⩼⫲1293)⪘⫢(⫶⩼⫲19D4⋳⪒⫶⩼⫲11BD)=⫶⩼⫲1AA7","reverse_text":"⫶⩼⫲1AA7=(⫶⩼⫲173B⋥≓≎⫶⩼⫲1293)⪘⫢(⫶⩼⫲19D4⋳⪒⫶⩼⫲11BD)","cot":[{"info":"⫶⩼⫲173B⋥≓≎⫶⩼⫲1293=⫶⩼⫲D1D","layer":1},{"info":"⫶⩼⫲19D4⋳⪒⫶⩼⫲11BD=⫶⩼⫲21A8","layer":1},{"info":"⫶⩼⫲D1D⪘⫢⫶⩼⫲21A8=⫶⩼⫲1AA7","layer":0}]}
{"id":765,"expression_no_base_symbol":"⪝⪂⫅(∂$1212$)","expression":"⪝⪂⫅(∂⫶⩼⫲55C)","highest_n_order":5,"priority_hierarchical_complexity":1,"normalized_expansion_degree":5,"operation_count":2,"complexity_ratio":2.5,"tree":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":1212,"base":15}}},"used_operators":["XTarYq4gQB","Uaa54Peajs"],"dependent_operators":["9HNa5Wba9A","8w2t5hMYqp","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1212","layer":2},{"info":"compute unary expreesion, input=1212, 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 = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"⪝⪂⫅(∂⫶⩼⫲55C)=NaN","reverse_text":"NaN=⪝⪂⫅(∂⫶⩼⫲55C)","cot":[{"info":"∂⫶⩼⫲55C=NaN","layer":1},{"info":"⪝⪂⫅NaN=NaN","layer":0}]}
{"id":766,"expression_no_base_symbol":"($4078$⨳⩥⨓$2610$)⩤","expression":"(⫶⩼⫲131D⨳⩥⨓⫶⩼⫲B90)⩤","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4,"operation_count":2,"complexity_ratio":2.0,"tree":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":4078,"base":15},"right_expr":{"type":"numeric_atoms","value":2610,"base":15}}},"used_operators":["Z2TMIBDE3Q","nCS4ZIUYfx"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z"],"result":"⫶⩼⫲67D","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=4078","layer":2},{"info":"number node, value=2610","layer":2},{"info":"compute binary expreesion, left_input=4078, right_input=2610, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-1468","layer":1},{"info":"compute unary expreesion, input=-1468, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=1468","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲131D⨳⩥⨓⫶⩼⫲B90)⩤=⫶⩼⫲67D","reverse_text":"⫶⩼⫲67D=(⫶⩼⫲131D⨳⩥⨓⫶⩼⫲B90)⩤","cot":[{"info":"⫶⩼⫲131D⨳⩥⨓⫶⩼⫲B90=⫶⩼⫲-67D","layer":1},{"info":"⫶⩼⫲-67D⩤=⫶⩼⫲67D","layer":0}]}
{"id":767,"expression_no_base_symbol":"⪲⇎($1175$⊭↱$5653$)","expression":"⪲⇎(⫶⩼⫲535⊭↱⫶⩼⫲1A1D)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":8,"operation_count":2,"complexity_ratio":4.0,"tree":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1175,"base":15},"right_expr":{"type":"numeric_atoms","value":5653,"base":15}}},"used_operators":["XPYlsWDdGa","COABgblf1C"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⫶⩼⫲549C","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1175","layer":2},{"info":"number node, value=5653","layer":2},{"info":"compute binary expreesion, left_input=1175, right_input=5653, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=8961","layer":1},{"info":"compute unary expreesion, input=8961, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=17922","layer":0}],"base":15,"result_base":15,"text":"⪲⇎(⫶⩼⫲535⊭↱⫶⩼⫲1A1D)=⫶⩼⫲549C","reverse_text":"⫶⩼⫲549C=⪲⇎(⫶⩼⫲535⊭↱⫶⩼⫲1A1D)","cot":[{"info":"⫶⩼⫲535⊭↱⫶⩼⫲1A1D=⫶⩼⫲29C6","layer":1},{"info":"⪲⇎⫶⩼⫲29C6=⫶⩼⫲549C","layer":0}]}
{"id":768,"expression_no_base_symbol":"(⪝⪂⫅$6421$)+⇶⊼$1894$∑⇟⊟$3086$","expression":"(⪝⪂⫅⫶⩼⫲1D81)+⇶⊼⫶⩼⫲864∑⇟⊟⫶⩼⫲DAB","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":152,"operation_count":3,"complexity_ratio":50.666666666666664,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":6421,"base":15}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1894,"base":15},"right_expr":{"type":"numeric_atoms","value":3086,"base":15}}},"used_operators":["TpPTUOHfaN","XTarYq4gQB","U7g4x0WXJJ"],"dependent_operators":["AHs5Up7iyr","9HNa5Wba9A","8w2t5hMYqp","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=6421","layer":2},{"info":"compute unary expreesion, input=6421, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-943887","layer":1},{"info":"number node, value=1894","layer":2},{"info":"number node, value=3086","layer":2},{"info":"compute binary expreesion, left_input=1894, right_input=3086, 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=-943887, 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":15,"result_base":15,"text":"(⪝⪂⫅⫶⩼⫲1D81)+⇶⊼⫶⩼⫲864∑⇟⊟⫶⩼⫲DAB=NaN","reverse_text":"NaN=(⪝⪂⫅⫶⩼⫲1D81)+⇶⊼⫶⩼⫲864∑⇟⊟⫶⩼⫲DAB","cot":[{"info":"⪝⪂⫅⫶⩼⫲1D81=⫶⩼⫲-139A0C","layer":1},{"info":"⫶⩼⫲864∑⇟⊟⫶⩼⫲DAB=NaN","layer":1},{"info":"⫶⩼⫲-139A0C+⇶⊼NaN=NaN","layer":0}]}
{"id":769,"expression_no_base_symbol":"$1016$≹⇙⪍$1886$⫥∨⫟($3928$∲⫓$1060$)","expression":"⫶⩼⫲47B≹⇙⪍⫶⩼⫲85B⫥∨⫟(⫶⩼⫲126D∲⫓⫶⩼⫲4AA)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":157,"operation_count":3,"complexity_ratio":52.333333333333336,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1016,"base":15},"right_expr":{"type":"numeric_atoms","value":1886,"base":15}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":3928,"base":15},"right_expr":{"type":"numeric_atoms","value":1060,"base":15}}},"used_operators":["KYD54nUTWz","AHs5Up7iyr","i8ToyICDmI"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1016","layer":2},{"info":"number node, value=1886","layer":2},{"info":"compute binary expreesion, left_input=1016, right_input=1886, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=3928","layer":2},{"info":"number node, value=1060","layer":2},{"info":"compute binary expreesion, left_input=3928, right_input=1060, 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 = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲47B≹⇙⪍⫶⩼⫲85B⫥∨⫟(⫶⩼⫲126D∲⫓⫶⩼⫲4AA)=NaN","reverse_text":"NaN=⫶⩼⫲47B≹⇙⪍⫶⩼⫲85B⫥∨⫟(⫶⩼⫲126D∲⫓⫶⩼⫲4AA)","cot":[{"info":"⫶⩼⫲47B≹⇙⪍⫶⩼⫲85B=NaN","layer":1},{"info":"⫶⩼⫲126D∲⫓⫶⩼⫲4AA=⫶⩼⫲0","layer":1},{"info":"NaN⫥∨⫟⫶⩼⫲0=NaN","layer":0}]}
{"id":770,"expression_no_base_symbol":"(∂$3879$)⋝⋈⪟(⋗⩬⋾$2157$)","expression":"(∂⫶⩼⫲1239)⋝⋈⪟(⋗⩬⋾⫶⩼⫲98C)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7,"operation_count":3,"complexity_ratio":2.3333333333333335,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":3879,"base":15}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":2157,"base":15}}},"used_operators":["2DDjHMKMc0","Uaa54Peajs","DpFCA1CohY"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=3879","layer":2},{"info":"compute unary expreesion, input=3879, 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=2157","layer":2},{"info":"compute unary expreesion, input=2157, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-6471","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-6471, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"(∂⫶⩼⫲1239)⋝⋈⪟(⋗⩬⋾⫶⩼⫲98C)=NaN","reverse_text":"NaN=(∂⫶⩼⫲1239)⋝⋈⪟(⋗⩬⋾⫶⩼⫲98C)","cot":[{"info":"∂⫶⩼⫲1239=NaN","layer":1},{"info":"⋗⩬⋾⫶⩼⫲98C=⫶⩼⫲-1DB6","layer":1},{"info":"NaN⋝⋈⪟⫶⩼⫲-1DB6=NaN","layer":0}]}
{"id":771,"expression_no_base_symbol":"($1493$*$3660$)⫥∨⫟(⩦⩻⨪$4490$)","expression":"(⫶⩼⫲698*⫶⩼⫲1140)⫥∨⫟(⩦⩻⨪⫶⩼⫲14E5)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1650,"operation_count":3,"complexity_ratio":550.0,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1493,"base":15},"right_expr":{"type":"numeric_atoms","value":3660,"base":15}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":4490,"base":15}}},"used_operators":["KYD54nUTWz","9HNa5Wba9A","2td37pGCOC"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1493","layer":2},{"info":"number node, value=3660","layer":2},{"info":"compute binary expreesion, left_input=1493, right_input=3660, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=5464380","layer":1},{"info":"number node, value=4490","layer":2},{"info":"compute unary expreesion, input=4490, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=4490","layer":1},{"info":"compute binary expreesion, left_input=5464380, right_input=4490, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲698*⫶⩼⫲1140)⫥∨⫟(⩦⩻⨪⫶⩼⫲14E5)=NaN","reverse_text":"NaN=(⫶⩼⫲698*⫶⩼⫲1140)⫥∨⫟(⩦⩻⨪⫶⩼⫲14E5)","cot":[{"info":"⫶⩼⫲698*⫶⩼⫲1140=⫶⩼⫲72E120","layer":1},{"info":"⩦⩻⨪⫶⩼⫲14E5=⫶⩼⫲14E5","layer":1},{"info":"⫶⩼⫲72E120⫥∨⫟⫶⩼⫲14E5=NaN","layer":0}]}
{"id":772,"expression_no_base_symbol":"↣≠⋷(⋗⩬⋾$7489$)","expression":"↣≠⋷(⋗⩬⋾⫶⩼⫲2344)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":6,"operation_count":2,"complexity_ratio":3.0,"tree":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":7489,"base":15}}},"used_operators":["Asc51vEJeQ","DpFCA1CohY"],"dependent_operators":["XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=7489","layer":2},{"info":"compute unary expreesion, input=7489, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-22467","layer":1},{"info":"compute unary expreesion, input=-22467, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"↣≠⋷(⋗⩬⋾⫶⩼⫲2344)=NaN","reverse_text":"NaN=↣≠⋷(⋗⩬⋾⫶⩼⫲2344)","cot":[{"info":"⋗⩬⋾⫶⩼⫲2344=⫶⩼⫲-69CC","layer":1},{"info":"↣≠⋷⫶⩼⫲-69CC=NaN","layer":0}]}
{"id":773,"expression_no_base_symbol":"⫛⫱⨽($6438$⨸⪁$2324$)","expression":"⫛⫱⨽(⫶⩼⫲1D93⨸⪁⫶⩼⫲A4E)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1425,"operation_count":2,"complexity_ratio":712.5,"tree":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":6438,"base":15},"right_expr":{"type":"numeric_atoms","value":2324,"base":15}}},"used_operators":["DlLNRPXxWL","g55IO6H4Gj"],"dependent_operators":["rGHVDoGpnC","W4YGzv6Whe"],"result":"⫶⩼⫲0","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=6438","layer":2},{"info":"number node, value=2324","layer":2},{"info":"compute binary expreesion, left_input=6438, right_input=2324, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=17524","layer":1},{"info":"compute unary expreesion, input=17524, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":0}],"base":15,"result_base":15,"text":"⫛⫱⨽(⫶⩼⫲1D93⨸⪁⫶⩼⫲A4E)=⫶⩼⫲0","reverse_text":"⫶⩼⫲0=⫛⫱⨽(⫶⩼⫲1D93⨸⪁⫶⩼⫲A4E)","cot":[{"info":"⫶⩼⫲1D93⨸⪁⫶⩼⫲A4E=⫶⩼⫲52D4","layer":1},{"info":"⫛⫱⨽⫶⩼⫲52D4=⫶⩼⫲0","layer":0}]}
{"id":774,"expression_no_base_symbol":"+⊝⨔$1327$⊴$3163$","expression":"+⊝⨔⫶⩼⫲5D7⊴⫶⩼⫲E0D","highest_n_order":3,"priority_hierarchical_complexity":1,"normalized_expansion_degree":3189,"operation_count":2,"complexity_ratio":1594.5,"tree":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1327,"base":15},"right_expr":{"type":"numeric_atoms","value":3163,"base":15}}},"used_operators":["DhbWaqg5eL","Nsiff2A1zJ"],"dependent_operators":["dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","dWAJyo7jo9","14qkJME0vr"],"result":"⫶⩼⫲6B7","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1327","layer":2},{"info":"number node, value=3163","layer":2},{"info":"compute binary expreesion, left_input=1327, right_input=3163, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":0}],"base":15,"result_base":15,"text":"+⊝⨔⫶⩼⫲5D7⊴⫶⩼⫲E0D=⫶⩼⫲6B7","reverse_text":"⫶⩼⫲6B7=+⊝⨔⫶⩼⫲5D7⊴⫶⩼⫲E0D","cot":[{"info":"⫶⩼⫲5D7⊴⫶⩼⫲E0D=NaN","layer":1},{"info":"+⊝⨔NaN=⫶⩼⫲6B7","layer":0}]}
{"id":775,"expression_no_base_symbol":"(≉$1199$)⇼⇔∾$5384$⫥∨⫟$4507$","expression":"(≉⫶⩼⫲54E)⇼⇔∾⫶⩼⫲18DE⫥∨⫟⫶⩼⫲1507","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":158,"operation_count":3,"complexity_ratio":52.666666666666664,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1199,"base":15}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":5384,"base":15},"right_expr":{"type":"numeric_atoms","value":4507,"base":15}}},"used_operators":["tifHPKVTfV","e1ybzncUwg","KYD54nUTWz"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1199","layer":2},{"info":"compute unary expreesion, input=1199, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=1730","layer":1},{"info":"number node, value=5384","layer":2},{"info":"number node, value=4507","layer":2},{"info":"compute binary expreesion, left_input=5384, right_input=4507, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1730, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"(≉⫶⩼⫲54E)⇼⇔∾⫶⩼⫲18DE⫥∨⫟⫶⩼⫲1507=NaN","reverse_text":"NaN=(≉⫶⩼⫲54E)⇼⇔∾⫶⩼⫲18DE⫥∨⫟⫶⩼⫲1507","cot":[{"info":"≉⫶⩼⫲54E=⫶⩼⫲7A5","layer":1},{"info":"⫶⩼⫲18DE⫥∨⫟⫶⩼⫲1507=NaN","layer":1},{"info":"⫶⩼⫲7A5⇼⇔∾NaN=NaN","layer":0}]}
{"id":776,"expression_no_base_symbol":"∂($4408$⨸⪁$2935$)","expression":"∂(⫶⩼⫲148D⨸⪁⫶⩼⫲D0A)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4,"operation_count":2,"complexity_ratio":2.0,"tree":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":4408,"base":15},"right_expr":{"type":"numeric_atoms","value":2935,"base":15}}},"used_operators":["Uaa54Peajs","g55IO6H4Gj"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=4408","layer":2},{"info":"number node, value=2935","layer":2},{"info":"compute binary expreesion, left_input=4408, right_input=2935, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=14686","layer":1},{"info":"compute unary expreesion, input=14686, 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":15,"result_base":15,"text":"∂(⫶⩼⫲148D⨸⪁⫶⩼⫲D0A)=NaN","reverse_text":"NaN=∂(⫶⩼⫲148D⨸⪁⫶⩼⫲D0A)","cot":[{"info":"⫶⩼⫲148D⨸⪁⫶⩼⫲D0A=⫶⩼⫲4541","layer":1},{"info":"∂⫶⩼⫲4541=NaN","layer":0}]}
{"id":777,"expression_no_base_symbol":"⫓⪴($1354$≋⫹)","expression":"⫓⪴(⫶⩼⫲604≋⫹)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2711,"operation_count":2,"complexity_ratio":1355.5,"tree":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":1354,"base":15}}},"used_operators":["eLxqMNBOBk","N41Kp7NANJ"],"dependent_operators":["9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd"],"result":"⫶⩼⫲99CC44","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1354","layer":2},{"info":"compute unary expreesion, input=1354, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-2708","layer":1},{"info":"compute unary expreesion, input=-2708, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=7333264","layer":0}],"base":15,"result_base":15,"text":"⫓⪴(⫶⩼⫲604≋⫹)=⫶⩼⫲99CC44","reverse_text":"⫶⩼⫲99CC44=⫓⪴(⫶⩼⫲604≋⫹)","cot":[{"info":"⫶⩼⫲604≋⫹=⫶⩼⫲-C08","layer":1},{"info":"⫓⪴⫶⩼⫲-C08=⫶⩼⫲99CC44","layer":0}]}
{"id":778,"expression_no_base_symbol":"($4053$≫≃)⨟⋌⩍($1109$⋓$5689$)","expression":"(⫶⩼⫲1303≫≃)⨟⋌⩍(⫶⩼⫲4DE⋓⫶⩼⫲1A44)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":21,"operation_count":3,"complexity_ratio":7.0,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":4053,"base":15}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1109,"base":15},"right_expr":{"type":"numeric_atoms","value":5689,"base":15}}},"used_operators":["rGHVDoGpnC","X99M06cbEe","T2fj7uvVaJ"],"dependent_operators":["Tcnh7f0tEr","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"⫶⩼⫲2C3C","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=4053","layer":2},{"info":"compute unary expreesion, input=4053, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=9507","layer":1},{"info":"number node, value=1109","layer":2},{"info":"number node, value=5689","layer":2},{"info":"compute binary expreesion, left_input=1109, right_input=5689, op_id = T2fj7uvVaJ binary_op_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=9507, 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=9507","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲1303≫≃)⨟⋌⩍(⫶⩼⫲4DE⋓⫶⩼⫲1A44)=⫶⩼⫲2C3C","reverse_text":"⫶⩼⫲2C3C=(⫶⩼⫲1303≫≃)⨟⋌⩍(⫶⩼⫲4DE⋓⫶⩼⫲1A44)","cot":[{"info":"⫶⩼⫲1303≫≃=⫶⩼⫲2C3C","layer":1},{"info":"⫶⩼⫲4DE⋓⫶⩼⫲1A44=⫶⩼⫲0","layer":1},{"info":"⫶⩼⫲2C3C⨟⋌⩍⫶⩼⫲0=⫶⩼⫲2C3C","layer":0}]}
{"id":779,"expression_no_base_symbol":"($2559$⫌⩹⨱)⫡⨏$4342$⫸⊐$1951$","expression":"(⫶⩼⫲B59⫌⩹⨱)⫡⨏⫶⩼⫲1447⫸⊐⫶⩼⫲8A1","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":38,"operation_count":3,"complexity_ratio":12.666666666666666,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":2559,"base":15}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":4342,"base":15},"right_expr":{"type":"numeric_atoms","value":1951,"base":15}}},"used_operators":["QMFrweE19q","EBcxylXtPf","mqXw5SEYmG"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"⫶⩼⫲E691","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2559","layer":2},{"info":"compute unary expreesion, input=2559, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=6519","layer":1},{"info":"number node, value=4342","layer":2},{"info":"number node, value=1951","layer":2},{"info":"compute binary expreesion, left_input=4342, right_input=1951, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=7679","layer":1},{"info":"compute binary expreesion, left_input=6519, right_input=7679, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=48736","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲B59⫌⩹⨱)⫡⨏⫶⩼⫲1447⫸⊐⫶⩼⫲8A1=⫶⩼⫲E691","reverse_text":"⫶⩼⫲E691=(⫶⩼⫲B59⫌⩹⨱)⫡⨏⫶⩼⫲1447⫸⊐⫶⩼⫲8A1","cot":[{"info":"⫶⩼⫲B59⫌⩹⨱=⫶⩼⫲1DE9","layer":1},{"info":"⫶⩼⫲1447⫸⊐⫶⩼⫲8A1=⫶⩼⫲241E","layer":1},{"info":"⫶⩼⫲1DE9⫡⨏⫶⩼⫲241E=⫶⩼⫲E691","layer":0}]}
{"id":780,"expression_no_base_symbol":"$4502$≹⇙⪍$1593$⩨($3461$⨁⊸⫻)","expression":"⫶⩼⫲1502≹⇙⪍⫶⩼⫲713⩨(⫶⩼⫲105B⨁⊸⫻)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6,"operation_count":3,"complexity_ratio":2.0,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":4502,"base":15},"right_expr":{"type":"numeric_atoms","value":1593,"base":15}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":3461,"base":15}}},"used_operators":["2DlMacCsIx","AHs5Up7iyr","glklzrTFfD"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","dWAJyo7jo9","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=4502","layer":2},{"info":"number node, value=1593","layer":2},{"info":"compute binary expreesion, left_input=4502, right_input=1593, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=3461","layer":2},{"info":"compute unary expreesion, input=3461, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=3461","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=3461, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲1502≹⇙⪍⫶⩼⫲713⩨(⫶⩼⫲105B⨁⊸⫻)=NaN","reverse_text":"NaN=⫶⩼⫲1502≹⇙⪍⫶⩼⫲713⩨(⫶⩼⫲105B⨁⊸⫻)","cot":[{"info":"⫶⩼⫲1502≹⇙⪍⫶⩼⫲713=NaN","layer":1},{"info":"⫶⩼⫲105B⨁⊸⫻=⫶⩼⫲105B","layer":1},{"info":"NaN⩨⫶⩼⫲105B=NaN","layer":0}]}
{"id":781,"expression_no_base_symbol":"(⨵≀≌$5334$)+⇶⊼$4954$⪘⫢$3469$","expression":"(⨵≀≌⫶⩼⫲18A9)+⇶⊼⫶⩼⫲1704⪘⫢⫶⩼⫲1064","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":19,"operation_count":3,"complexity_ratio":6.333333333333333,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":5334,"base":15}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":4954,"base":15},"right_expr":{"type":"numeric_atoms","value":3469,"base":15}}},"used_operators":["TpPTUOHfaN","srAu1WTS94","oacrs7FA3X"],"dependent_operators":["AHs5Up7iyr","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=5334","layer":2},{"info":"compute unary expreesion, input=5334, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-16002","layer":1},{"info":"number node, value=4954","layer":2},{"info":"number node, value=3469","layer":2},{"info":"compute binary expreesion, left_input=4954, right_input=3469, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=9784","layer":1},{"info":"compute binary expreesion, left_input=-16002, right_input=9784, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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":15,"result_base":15,"text":"(⨵≀≌⫶⩼⫲18A9)+⇶⊼⫶⩼⫲1704⪘⫢⫶⩼⫲1064=NaN","reverse_text":"NaN=(⨵≀≌⫶⩼⫲18A9)+⇶⊼⫶⩼⫲1704⪘⫢⫶⩼⫲1064","cot":[{"info":"⨵≀≌⫶⩼⫲18A9=⫶⩼⫲-4B1C","layer":1},{"info":"⫶⩼⫲1704⪘⫢⫶⩼⫲1064=⫶⩼⫲2D74","layer":1},{"info":"⫶⩼⫲-4B1C+⇶⊼⫶⩼⫲2D74=NaN","layer":0}]}
{"id":782,"expression_no_base_symbol":"$9349$⨓$1102$≎⊠⪸($1943$⋥≓≎$3039$)","expression":"⫶⩼⫲2B84⨓⫶⩼⫲4D7≎⊠⪸(⫶⩼⫲898⋥≓≎⫶⩼⫲D79)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1383,"operation_count":3,"complexity_ratio":461.0,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":9349,"base":15},"right_expr":{"type":"numeric_atoms","value":1102,"base":15}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1943,"base":15},"right_expr":{"type":"numeric_atoms","value":3039,"base":15}}},"used_operators":["bJkvcejdHO","3ViojmjbAp","Qy55tPpLXF"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⫶⩼⫲59BEA","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=9349","layer":2},{"info":"number node, value=1102","layer":2},{"info":"compute binary expreesion, left_input=9349, right_input=1102, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1105","layer":1},{"info":"number node, value=1943","layer":2},{"info":"number node, value=3039","layer":2},{"info":"compute binary expreesion, left_input=1943, right_input=3039, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=4168","layer":1},{"info":"compute binary expreesion, left_input=-1105, right_input=4168, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=286195","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲2B84⨓⫶⩼⫲4D7≎⊠⪸(⫶⩼⫲898⋥≓≎⫶⩼⫲D79)=⫶⩼⫲59BEA","reverse_text":"⫶⩼⫲59BEA=⫶⩼⫲2B84⨓⫶⩼⫲4D7≎⊠⪸(⫶⩼⫲898⋥≓≎⫶⩼⫲D79)","cot":[{"info":"⫶⩼⫲2B84⨓⫶⩼⫲4D7=⫶⩼⫲-4DA","layer":1},{"info":"⫶⩼⫲898⋥≓≎⫶⩼⫲D79=⫶⩼⫲137D","layer":1},{"info":"⫶⩼⫲-4DA≎⊠⪸⫶⩼⫲137D=⫶⩼⫲59BEA","layer":0}]}
{"id":783,"expression_no_base_symbol":"($1962$⨎$3969$)+⇶⊼$7488$⪢$2508$","expression":"(⫶⩼⫲8AC⨎⫶⩼⫲1299)+⇶⊼⫶⩼⫲2343⪢⫶⩼⫲B23","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2616,"operation_count":3,"complexity_ratio":872.0,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1962,"base":15},"right_expr":{"type":"numeric_atoms","value":3969,"base":15}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":7488,"base":15},"right_expr":{"type":"numeric_atoms","value":2508,"base":15}}},"used_operators":["TpPTUOHfaN","rJVOvQCfKK","dWAJyo7jo9"],"dependent_operators":["AHs5Up7iyr","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1962","layer":2},{"info":"number node, value=3969","layer":2},{"info":"compute binary expreesion, left_input=1962, right_input=3969, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3969","layer":1},{"info":"number node, value=7488","layer":2},{"info":"number node, value=2508","layer":2},{"info":"compute binary expreesion, left_input=7488, right_input=2508, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=3969, 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":15,"result_base":15,"text":"(⫶⩼⫲8AC⨎⫶⩼⫲1299)+⇶⊼⫶⩼⫲2343⪢⫶⩼⫲B23=NaN","reverse_text":"NaN=(⫶⩼⫲8AC⨎⫶⩼⫲1299)+⇶⊼⫶⩼⫲2343⪢⫶⩼⫲B23","cot":[{"info":"⫶⩼⫲8AC⨎⫶⩼⫲1299=⫶⩼⫲1299","layer":1},{"info":"⫶⩼⫲2343⪢⫶⩼⫲B23=NaN","layer":1},{"info":"⫶⩼⫲1299+⇶⊼NaN=NaN","layer":0}]}
{"id":784,"expression_no_base_symbol":"($4319$⪨≂$2070$)⊉≛↸($1456$⊭↱$7609$)","expression":"(⫶⩼⫲142E⪨≂⫶⩼⫲930)⊉≛↸(⫶⩼⫲671⊭↱⫶⩼⫲23C4)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":13,"operation_count":3,"complexity_ratio":4.333333333333333,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":4319,"base":15},"right_expr":{"type":"numeric_atoms","value":2070,"base":15}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1456,"base":15},"right_expr":{"type":"numeric_atoms","value":7609,"base":15}}},"used_operators":["DZ8iAZOCBD","sdazOOVcIp","COABgblf1C"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⫶⩼⫲2AD5","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=4319","layer":2},{"info":"number node, value=2070","layer":2},{"info":"compute binary expreesion, left_input=4319, right_input=2070, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=4600","layer":1},{"info":"number node, value=1456","layer":2},{"info":"number node, value=7609","layer":2},{"info":"compute binary expreesion, left_input=1456, right_input=7609, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=12311","layer":1},{"info":"compute binary expreesion, left_input=4600, right_input=12311, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=9200","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲142E⪨≂⫶⩼⫲930)⊉≛↸(⫶⩼⫲671⊭↱⫶⩼⫲23C4)=⫶⩼⫲2AD5","reverse_text":"⫶⩼⫲2AD5=(⫶⩼⫲142E⪨≂⫶⩼⫲930)⊉≛↸(⫶⩼⫲671⊭↱⫶⩼⫲23C4)","cot":[{"info":"⫶⩼⫲142E⪨≂⫶⩼⫲930=⫶⩼⫲156A","layer":1},{"info":"⫶⩼⫲671⊭↱⫶⩼⫲23C4=⫶⩼⫲39AB","layer":1},{"info":"⫶⩼⫲156A⊉≛↸⫶⩼⫲39AB=⫶⩼⫲2AD5","layer":0}]}
{"id":785,"expression_no_base_symbol":"(⫛⫱⨽$4668$)⋳⪒($8100$⋳⪒$1210$)","expression":"(⫛⫱⨽⫶⩼⫲15B3)⋳⪒(⫶⩼⫲2600⋳⪒⫶⩼⫲55A)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1436,"operation_count":3,"complexity_ratio":478.6666666666667,"tree":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":4668,"base":15}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":8100,"base":15},"right_expr":{"type":"numeric_atoms","value":1210,"base":15}}},"used_operators":["12rbrZMWeM","DlLNRPXxWL"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC"],"result":"⫶⩼⫲-4695","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=4668","layer":2},{"info":"compute unary expreesion, input=4668, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":1},{"info":"number node, value=8100","layer":2},{"info":"number node, value=1210","layer":2},{"info":"compute binary expreesion, left_input=8100, right_input=1210, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=14703","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=14703, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-14990","layer":0}],"base":15,"result_base":15,"text":"(⫛⫱⨽⫶⩼⫲15B3)⋳⪒(⫶⩼⫲2600⋳⪒⫶⩼⫲55A)=⫶⩼⫲-4695","reverse_text":"⫶⩼⫲-4695=(⫛⫱⨽⫶⩼⫲15B3)⋳⪒(⫶⩼⫲2600⋳⪒⫶⩼⫲55A)","cot":[{"info":"⫛⫱⨽⫶⩼⫲15B3=⫶⩼⫲0","layer":1},{"info":"⫶⩼⫲2600⋳⪒⫶⩼⫲55A=⫶⩼⫲4553","layer":1},{"info":"⫶⩼⫲0⋳⪒⫶⩼⫲4553=⫶⩼⫲-4695","layer":0}]}
{"id":786,"expression_no_base_symbol":"$1901$≎⊠⪸$1672$+$5137$⨸⪁$1944$","expression":"⫶⩼⫲86B≎⊠⪸⫶⩼⫲767+⫶⩼⫲17C7⨸⪁⫶⩼⫲899","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":274,"operation_count":3,"complexity_ratio":91.33333333333333,"tree":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1901,"base":15},"right_expr":{"type":"numeric_atoms","value":1672,"base":15}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":5137,"base":15},"right_expr":{"type":"numeric_atoms","value":1944,"base":15}}},"used_operators":["W4YGzv6Whe","bJkvcejdHO","g55IO6H4Gj"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe"],"result":"⫶⩼⫲9EE18","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1901","layer":2},{"info":"number node, value=1672","layer":2},{"info":"compute binary expreesion, left_input=1901, right_input=1672, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=491886","layer":1},{"info":"number node, value=5137","layer":2},{"info":"number node, value=1944","layer":2},{"info":"compute binary expreesion, left_input=5137, right_input=1944, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=14162","layer":1},{"info":"compute binary expreesion, left_input=491886, right_input=14162, op_id = W4YGzv6Whe binary_op_definition= 'None', output=506048","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲86B≎⊠⪸⫶⩼⫲767+⫶⩼⫲17C7⨸⪁⫶⩼⫲899=⫶⩼⫲9EE18","reverse_text":"⫶⩼⫲9EE18=⫶⩼⫲86B≎⊠⪸⫶⩼⫲767+⫶⩼⫲17C7⨸⪁⫶⩼⫲899","cot":[{"info":"⫶⩼⫲86B≎⊠⪸⫶⩼⫲767=⫶⩼⫲9AB26","layer":1},{"info":"⫶⩼⫲17C7⨸⪁⫶⩼⫲899=⫶⩼⫲42E2","layer":1},{"info":"⫶⩼⫲9AB26+⫶⩼⫲42E2=⫶⩼⫲9EE18","layer":0}]}
{"id":787,"expression_no_base_symbol":"$2983$⨟⋌⩍$6680$⪠⩆⊳","expression":"⫶⩼⫲D3D⨟⋌⩍⫶⩼⫲1EA5⪠⩆⊳","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":7,"operation_count":2,"complexity_ratio":3.5,"tree":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2983,"base":15},"right_expr":{"type":"numeric_atoms","value":6680,"base":15}}},"used_operators":["JLbD19bQDL","rGHVDoGpnC"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=2983","layer":2},{"info":"number node, value=6680","layer":2},{"info":"compute binary expreesion, left_input=2983, right_input=6680, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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 = 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":15,"result_base":15,"text":"⫶⩼⫲D3D⨟⋌⩍⫶⩼⫲1EA5⪠⩆⊳=NaN","reverse_text":"NaN=⫶⩼⫲D3D⨟⋌⩍⫶⩼⫲1EA5⪠⩆⊳","cot":[{"info":"⫶⩼⫲D3D⨟⋌⩍⫶⩼⫲1EA5=NaN","layer":1},{"info":"NaN⪠⩆⊳=NaN","layer":0}]}
{"id":788,"expression_no_base_symbol":"⨈⫕$4758$⋝⋈⪟$1624$","expression":"⨈⫕⫶⩼⫲1623⋝⋈⪟⫶⩼⫲734","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":389,"operation_count":2,"complexity_ratio":194.5,"tree":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":4758,"base":15},"right_expr":{"type":"numeric_atoms","value":1624,"base":15}}},"used_operators":["megm06wKyl","2DDjHMKMc0"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","t8gj7n24qd"],"result":"⫶⩼⫲-16","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=4758","layer":2},{"info":"number node, value=1624","layer":2},{"info":"compute binary expreesion, left_input=4758, right_input=1624, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=4758","layer":1},{"info":"compute unary expreesion, input=4758, 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":15,"result_base":15,"text":"⨈⫕⫶⩼⫲1623⋝⋈⪟⫶⩼⫲734=⫶⩼⫲-16","reverse_text":"⫶⩼⫲-16=⨈⫕⫶⩼⫲1623⋝⋈⪟⫶⩼⫲734","cot":[{"info":"⫶⩼⫲1623⋝⋈⪟⫶⩼⫲734=⫶⩼⫲1623","layer":1},{"info":"⨈⫕⫶⩼⫲1623=⫶⩼⫲-16","layer":0}]}
{"id":789,"expression_no_base_symbol":"-$2819$⪛$3570$","expression":"-⫶⩼⫲C7E⪛⫶⩼⫲10D0","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5,"operation_count":2,"complexity_ratio":2.5,"tree":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2819,"base":15},"right_expr":{"type":"numeric_atoms","value":3570,"base":15}}},"used_operators":["t8gj7n24qd","uFcxV4UQCh"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"⫶⩼⫲-C7E","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2819","layer":2},{"info":"number node, value=3570","layer":2},{"info":"compute binary expreesion, left_input=2819, right_input=3570, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2819","layer":1},{"info":"compute unary expreesion, input=2819, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-2819","layer":0}],"base":15,"result_base":15,"text":"-⫶⩼⫲C7E⪛⫶⩼⫲10D0=⫶⩼⫲-C7E","reverse_text":"⫶⩼⫲-C7E=-⫶⩼⫲C7E⪛⫶⩼⫲10D0","cot":[{"info":"⫶⩼⫲C7E⪛⫶⩼⫲10D0=⫶⩼⫲C7E","layer":1},{"info":"-⫶⩼⫲C7E=⫶⩼⫲-C7E","layer":0}]}
{"id":790,"expression_no_base_symbol":"($1103$+⇶⊼$1716$)⩷∴$1060$≹⇙⪍$1305$","expression":"(⫶⩼⫲4D8+⇶⊼⫶⩼⫲796)⩷∴⫶⩼⫲4AA≹⇙⪍⫶⩼⫲5C0","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":8,"operation_count":3,"complexity_ratio":2.6666666666666665,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1103,"base":15},"right_expr":{"type":"numeric_atoms","value":1716,"base":15}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1060,"base":15},"right_expr":{"type":"numeric_atoms","value":1305,"base":15}}},"used_operators":["9FxExcQeMw","TpPTUOHfaN","AHs5Up7iyr"],"dependent_operators":["rysDP5nf3Z","AHs5Up7iyr","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1103","layer":2},{"info":"number node, value=1716","layer":2},{"info":"compute binary expreesion, left_input=1103, right_input=1716, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=1060","layer":2},{"info":"number node, value=1305","layer":2},{"info":"compute binary expreesion, left_input=1060, right_input=1305, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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 = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲4D8+⇶⊼⫶⩼⫲796)⩷∴⫶⩼⫲4AA≹⇙⪍⫶⩼⫲5C0=NaN","reverse_text":"NaN=(⫶⩼⫲4D8+⇶⊼⫶⩼⫲796)⩷∴⫶⩼⫲4AA≹⇙⪍⫶⩼⫲5C0","cot":[{"info":"⫶⩼⫲4D8+⇶⊼⫶⩼⫲796=NaN","layer":1},{"info":"⫶⩼⫲4AA≹⇙⪍⫶⩼⫲5C0=NaN","layer":1},{"info":"NaN⩷∴NaN=NaN","layer":0}]}
{"id":791,"expression_no_base_symbol":"(⇁⨣⪵$3726$)⨐⩸⫘($4428$-$2032$)","expression":"(⇁⨣⪵⫶⩼⫲1186)⨐⩸⫘(⫶⩼⫲14A3-⫶⩼⫲907)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3,"operation_count":3,"complexity_ratio":1.0,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":3726,"base":15}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":4428,"base":15},"right_expr":{"type":"numeric_atoms","value":2032,"base":15}}},"used_operators":["fu6greOZ01","inkyxCbjAn","rysDP5nf3Z"],"dependent_operators":["3ViojmjbAp","B5M0gjZbta"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=3726","layer":2},{"info":"compute unary expreesion, input=3726, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":1},{"info":"number node, value=4428","layer":2},{"info":"number node, value=2032","layer":2},{"info":"compute binary expreesion, left_input=4428, right_input=2032, op_id = rysDP5nf3Z binary_op_definition= 'None', output=2396","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2396, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":15,"result_base":15,"text":"(⇁⨣⪵⫶⩼⫲1186)⨐⩸⫘(⫶⩼⫲14A3-⫶⩼⫲907)=NaN","reverse_text":"NaN=(⇁⨣⪵⫶⩼⫲1186)⨐⩸⫘(⫶⩼⫲14A3-⫶⩼⫲907)","cot":[{"info":"⇁⨣⪵⫶⩼⫲1186=NaN","layer":1},{"info":"⫶⩼⫲14A3-⫶⩼⫲907=⫶⩼⫲A9B","layer":1},{"info":"NaN⨐⩸⫘⫶⩼⫲A9B=NaN","layer":0}]}
{"id":792,"expression_no_base_symbol":"($2648$⨸⪁$1505$)+⇶⊼$6029$∑⇟⊟$6033$","expression":"(⫶⩼⫲BB8⨸⪁⫶⩼⫲6A5)+⇶⊼⫶⩼⫲1BBE∑⇟⊟⫶⩼⫲1BC3","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5,"operation_count":3,"complexity_ratio":1.6666666666666667,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2648,"base":15},"right_expr":{"type":"numeric_atoms","value":1505,"base":15}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":6029,"base":15},"right_expr":{"type":"numeric_atoms","value":6033,"base":15}}},"used_operators":["TpPTUOHfaN","g55IO6H4Gj","U7g4x0WXJJ"],"dependent_operators":["AHs5Up7iyr","W4YGzv6Whe","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2648","layer":2},{"info":"number node, value=1505","layer":2},{"info":"compute binary expreesion, left_input=2648, right_input=1505, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=8306","layer":1},{"info":"number node, value=6029","layer":2},{"info":"number node, value=6033","layer":2},{"info":"compute binary expreesion, left_input=6029, right_input=6033, 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=8306, 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":15,"result_base":15,"text":"(⫶⩼⫲BB8⨸⪁⫶⩼⫲6A5)+⇶⊼⫶⩼⫲1BBE∑⇟⊟⫶⩼⫲1BC3=NaN","reverse_text":"NaN=(⫶⩼⫲BB8⨸⪁⫶⩼⫲6A5)+⇶⊼⫶⩼⫲1BBE∑⇟⊟⫶⩼⫲1BC3","cot":[{"info":"⫶⩼⫲BB8⨸⪁⫶⩼⫲6A5=⫶⩼⫲26DB","layer":1},{"info":"⫶⩼⫲1BBE∑⇟⊟⫶⩼⫲1BC3=NaN","layer":1},{"info":"⫶⩼⫲26DB+⇶⊼NaN=NaN","layer":0}]}
{"id":793,"expression_no_base_symbol":"(↽≂$1376$)≹⇙⪍($5200$≎⊠⪸$8149$)","expression":"(↽≂⫶⩼⫲61B)≹⇙⪍(⫶⩼⫲181A≎⊠⪸⫶⩼⫲2634)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":274,"operation_count":3,"complexity_ratio":91.33333333333333,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":1376,"base":15}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":5200,"base":15},"right_expr":{"type":"numeric_atoms","value":8149,"base":15}}},"used_operators":["AHs5Up7iyr","u6S6b8DprG","bJkvcejdHO"],"dependent_operators":["dWAJyo7jo9","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1376","layer":2},{"info":"compute unary expreesion, input=1376, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-2752","layer":1},{"info":"number node, value=5200","layer":2},{"info":"number node, value=8149","layer":2},{"info":"compute binary expreesion, left_input=5200, right_input=8149, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1346327","layer":1},{"info":"compute binary expreesion, left_input=-2752, right_input=1346327, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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":15,"result_base":15,"text":"(↽≂⫶⩼⫲61B)≹⇙⪍(⫶⩼⫲181A≎⊠⪸⫶⩼⫲2634)=NaN","reverse_text":"NaN=(↽≂⫶⩼⫲61B)≹⇙⪍(⫶⩼⫲181A≎⊠⪸⫶⩼⫲2634)","cot":[{"info":"↽≂⫶⩼⫲61B=⫶⩼⫲-C37","layer":1},{"info":"⫶⩼⫲181A≎⊠⪸⫶⩼⫲2634=⫶⩼⫲1B8DA2","layer":1},{"info":"⫶⩼⫲-C37≹⇙⪍⫶⩼⫲1B8DA2=NaN","layer":0}]}
{"id":794,"expression_no_base_symbol":"($3879$⩷∴$4289$)∑⇟⊟($1251$⨓$1965$)","expression":"(⫶⩼⫲1239⩷∴⫶⩼⫲140E)∑⇟⊟(⫶⩼⫲586⨓⫶⩼⫲8B0)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1978,"operation_count":3,"complexity_ratio":659.3333333333334,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":3879,"base":15},"right_expr":{"type":"numeric_atoms","value":4289,"base":15}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1251,"base":15},"right_expr":{"type":"numeric_atoms","value":1965,"base":15}}},"used_operators":["U7g4x0WXJJ","9FxExcQeMw","3ViojmjbAp"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=3879","layer":2},{"info":"number node, value=4289","layer":2},{"info":"compute binary expreesion, left_input=3879, right_input=4289, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-852","layer":1},{"info":"number node, value=1251","layer":2},{"info":"number node, value=1965","layer":2},{"info":"compute binary expreesion, left_input=1251, right_input=1965, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1968","layer":1},{"info":"compute binary expreesion, left_input=-852, right_input=-1968, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲1239⩷∴⫶⩼⫲140E)∑⇟⊟(⫶⩼⫲586⨓⫶⩼⫲8B0)=NaN","reverse_text":"NaN=(⫶⩼⫲1239⩷∴⫶⩼⫲140E)∑⇟⊟(⫶⩼⫲586⨓⫶⩼⫲8B0)","cot":[{"info":"⫶⩼⫲1239⩷∴⫶⩼⫲140E=⫶⩼⫲-3BC","layer":1},{"info":"⫶⩼⫲586⨓⫶⩼⫲8B0=⫶⩼⫲-8B3","layer":1},{"info":"⫶⩼⫲-3BC∑⇟⊟⫶⩼⫲-8B3=NaN","layer":0}]}
{"id":795,"expression_no_base_symbol":"(∂$1103$)⨰(↯⪼$1702$)","expression":"(∂⫶⩼⫲4D8)⨰(↯⪼⫶⩼⫲787)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":38,"operation_count":3,"complexity_ratio":12.666666666666666,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":1103,"base":15}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1702,"base":15}}},"used_operators":["eewbuw0ToL","Uaa54Peajs","8jW3W4yZS5"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1103","layer":2},{"info":"compute unary expreesion, input=1103, 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=1702","layer":2},{"info":"compute unary expreesion, input=1702, 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 = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"(∂⫶⩼⫲4D8)⨰(↯⪼⫶⩼⫲787)=NaN","reverse_text":"NaN=(∂⫶⩼⫲4D8)⨰(↯⪼⫶⩼⫲787)","cot":[{"info":"∂⫶⩼⫲4D8=NaN","layer":1},{"info":"↯⪼⫶⩼⫲787=⫶⩼⫲-16","layer":1},{"info":"NaN⨰⫶⩼⫲-16=NaN","layer":0}]}
{"id":796,"expression_no_base_symbol":"($2485$≋⫹)↺($5294$%$4377$)","expression":"(⫶⩼⫲B0A≋⫹)↺(⫶⩼⫲187E%⫶⩼⫲146C)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6,"operation_count":3,"complexity_ratio":2.0,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":2485,"base":15}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":5294,"base":15},"right_expr":{"type":"numeric_atoms","value":4377,"base":15}}},"used_operators":["7j4O788W3g","N41Kp7NANJ","k8jYdgA6NY"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"⫶⩼⫲412","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2485","layer":2},{"info":"compute unary expreesion, input=2485, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-4970","layer":1},{"info":"number node, value=5294","layer":2},{"info":"number node, value=4377","layer":2},{"info":"compute binary expreesion, left_input=5294, right_input=4377, op_id = k8jYdgA6NY binary_op_definition= 'None', output=917","layer":1},{"info":"compute binary expreesion, left_input=-4970, right_input=917, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=917","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲B0A≋⫹)↺(⫶⩼⫲187E%⫶⩼⫲146C)=⫶⩼⫲412","reverse_text":"⫶⩼⫲412=(⫶⩼⫲B0A≋⫹)↺(⫶⩼⫲187E%⫶⩼⫲146C)","cot":[{"info":"⫶⩼⫲B0A≋⫹=⫶⩼⫲-1715","layer":1},{"info":"⫶⩼⫲187E%⫶⩼⫲146C=⫶⩼⫲412","layer":1},{"info":"⫶⩼⫲-1715↺⫶⩼⫲412=⫶⩼⫲412","layer":0}]}
{"id":797,"expression_no_base_symbol":"⪝⪂⫅($4291$⇼⇔∾$2388$)","expression":"⪝⪂⫅(⫶⩼⫲1411⇼⇔∾⫶⩼⫲A93)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":152,"operation_count":2,"complexity_ratio":76.0,"tree":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":4291,"base":15},"right_expr":{"type":"numeric_atoms","value":2388,"base":15}}},"used_operators":["XTarYq4gQB","tifHPKVTfV"],"dependent_operators":["9HNa5Wba9A","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd"],"result":"⫶⩼⫲57D46","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=4291","layer":2},{"info":"number node, value=2388","layer":2},{"info":"compute binary expreesion, left_input=4291, right_input=2388, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-1903","layer":1},{"info":"compute unary expreesion, input=-1903, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=279741","layer":0}],"base":15,"result_base":15,"text":"⪝⪂⫅(⫶⩼⫲1411⇼⇔∾⫶⩼⫲A93)=⫶⩼⫲57D46","reverse_text":"⫶⩼⫲57D46=⪝⪂⫅(⫶⩼⫲1411⇼⇔∾⫶⩼⫲A93)","cot":[{"info":"⫶⩼⫲1411⇼⇔∾⫶⩼⫲A93=⫶⩼⫲-86D","layer":1},{"info":"⪝⪂⫅⫶⩼⫲-86D=⫶⩼⫲57D46","layer":0}]}
{"id":798,"expression_no_base_symbol":"⊄⩳↩(⫛⫱⨽$6640$)","expression":"⊄⩳↩(⫛⫱⨽⫶⩼⫲1E7A)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1425,"operation_count":2,"complexity_ratio":712.5,"tree":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":6640,"base":15}}},"used_operators":["8w2t5hMYqp","DlLNRPXxWL"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC"],"result":"⫶⩼⫲0","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=6640","layer":2},{"info":"compute unary expreesion, input=6640, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=0","layer":0}],"base":15,"result_base":15,"text":"⊄⩳↩(⫛⫱⨽⫶⩼⫲1E7A)=⫶⩼⫲0","reverse_text":"⫶⩼⫲0=⊄⩳↩(⫛⫱⨽⫶⩼⫲1E7A)","cot":[{"info":"⫛⫱⨽⫶⩼⫲1E7A=⫶⩼⫲0","layer":1},{"info":"⊄⩳↩⫶⩼⫲0=⫶⩼⫲0","layer":0}]}
{"id":799,"expression_no_base_symbol":"⩦⩻⨪($5005$⪄$2768$)","expression":"⩦⩻⨪(⫶⩼⫲173A⪄⫶⩼⫲C48)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":98,"operation_count":2,"complexity_ratio":49.0,"tree":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":5005,"base":15},"right_expr":{"type":"numeric_atoms","value":2768,"base":15}}},"used_operators":["2td37pGCOC","SUmda5xLS4"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"⫶⩼⫲-EB901","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=5005","layer":2},{"info":"number node, value=2768","layer":2},{"info":"compute binary expreesion, left_input=5005, right_input=2768, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-747901","layer":1},{"info":"compute unary expreesion, input=-747901, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=-747901","layer":0}],"base":15,"result_base":15,"text":"⩦⩻⨪(⫶⩼⫲173A⪄⫶⩼⫲C48)=⫶⩼⫲-EB901","reverse_text":"⫶⩼⫲-EB901=⩦⩻⨪(⫶⩼⫲173A⪄⫶⩼⫲C48)","cot":[{"info":"⫶⩼⫲173A⪄⫶⩼⫲C48=⫶⩼⫲-EB901","layer":1},{"info":"⩦⩻⨪⫶⩼⫲-EB901=⫶⩼⫲-EB901","layer":0}]}
{"id":800,"expression_no_base_symbol":"($3387$⨳⩥⨓$2628$)⪢(⫛⫱⨽$2186$)","expression":"(⫶⩼⫲100C⨳⩥⨓⫶⩼⫲BA3)⪢(⫛⫱⨽⫶⩼⫲9AB)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1426,"operation_count":3,"complexity_ratio":475.3333333333333,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":3387,"base":15},"right_expr":{"type":"numeric_atoms","value":2628,"base":15}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":2186,"base":15}}},"used_operators":["dWAJyo7jo9","nCS4ZIUYfx","DlLNRPXxWL"],"dependent_operators":["k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","rGHVDoGpnC"],"result":"⫶⩼⫲0","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=3387","layer":2},{"info":"number node, value=2628","layer":2},{"info":"compute binary expreesion, left_input=3387, right_input=2628, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-759","layer":1},{"info":"number node, value=2186","layer":2},{"info":"compute unary expreesion, input=2186, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-759, right_input=0, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=0","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲100C⨳⩥⨓⫶⩼⫲BA3)⪢(⫛⫱⨽⫶⩼⫲9AB)=⫶⩼⫲0","reverse_text":"⫶⩼⫲0=(⫶⩼⫲100C⨳⩥⨓⫶⩼⫲BA3)⪢(⫛⫱⨽⫶⩼⫲9AB)","cot":[{"info":"⫶⩼⫲100C⨳⩥⨓⫶⩼⫲BA3=⫶⩼⫲-359","layer":1},{"info":"⫛⫱⨽⫶⩼⫲9AB=⫶⩼⫲0","layer":1},{"info":"⫶⩼⫲-359⪢⫶⩼⫲0=⫶⩼⫲0","layer":0}]}
{"id":801,"expression_no_base_symbol":"$1034$⊴$3456$≎⊠⪸(⊄⩳↩$7766$)","expression":"⫶⩼⫲48E⊴⫶⩼⫲1056≎⊠⪸(⊄⩳↩⫶⩼⫲247B)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3476,"operation_count":3,"complexity_ratio":1158.6666666666667,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1034,"base":15},"right_expr":{"type":"numeric_atoms","value":3456,"base":15}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":7766,"base":15}}},"used_operators":["bJkvcejdHO","Nsiff2A1zJ","8w2t5hMYqp"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫶⩼⫲47","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1034","layer":2},{"info":"number node, value=3456","layer":2},{"info":"compute binary expreesion, left_input=1034, right_input=3456, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=7766","layer":2},{"info":"compute unary expreesion, input=7766, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-23298","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-23298, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲48E⊴⫶⩼⫲1056≎⊠⪸(⊄⩳↩⫶⩼⫲247B)=⫶⩼⫲47","reverse_text":"⫶⩼⫲47=⫶⩼⫲48E⊴⫶⩼⫲1056≎⊠⪸(⊄⩳↩⫶⩼⫲247B)","cot":[{"info":"⫶⩼⫲48E⊴⫶⩼⫲1056=NaN","layer":1},{"info":"⊄⩳↩⫶⩼⫲247B=⫶⩼⫲-6D83","layer":1},{"info":"NaN≎⊠⪸⫶⩼⫲-6D83=⫶⩼⫲47","layer":0}]}
{"id":802,"expression_no_base_symbol":"($2094$⪐)⨳⩥⨓($1559$↙$1836$)","expression":"(⫶⩼⫲949⪐)⨳⩥⨓(⫶⩼⫲6DE↙⫶⩼⫲826)","highest_n_order":3,"priority_hierarchical_complexity":1,"normalized_expansion_degree":1844,"operation_count":3,"complexity_ratio":614.6666666666666,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":2094,"base":15}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1559,"base":15},"right_expr":{"type":"numeric_atoms","value":1836,"base":15}}},"used_operators":["nCS4ZIUYfx","eH2TOUuTDT","yyfyN0ffXY"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY"],"result":"⫶⩼⫲-2D16","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2094","layer":2},{"info":"compute unary expreesion, input=2094, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=4188","layer":1},{"info":"number node, value=1559","layer":2},{"info":"number node, value=1836","layer":2},{"info":"compute binary expreesion, left_input=1559, right_input=1836, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-5508","layer":1},{"info":"compute binary expreesion, left_input=4188, right_input=-5508, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-9696","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲949⪐)⨳⩥⨓(⫶⩼⫲6DE↙⫶⩼⫲826)=⫶⩼⫲-2D16","reverse_text":"⫶⩼⫲-2D16=(⫶⩼⫲949⪐)⨳⩥⨓(⫶⩼⫲6DE↙⫶⩼⫲826)","cot":[{"info":"⫶⩼⫲949⪐=⫶⩼⫲1393","layer":1},{"info":"⫶⩼⫲6DE↙⫶⩼⫲826=⫶⩼⫲-1973","layer":1},{"info":"⫶⩼⫲1393⨳⩥⨓⫶⩼⫲-1973=⫶⩼⫲-2D16","layer":0}]}
{"id":803,"expression_no_base_symbol":"($1636$⩚⊴⇥$3365$)∧","expression":"(⫶⩼⫲741⩚⊴⇥⫶⩼⫲EE5)∧","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":11,"operation_count":2,"complexity_ratio":5.5,"tree":{"type":"unary","operator":"∧","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1636,"base":15},"right_expr":{"type":"numeric_atoms","value":3365,"base":15}}},"used_operators":["z63VuFQld9","NTOWxs364D"],"dependent_operators":["B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"⫶⩼⫲0","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1636","layer":2},{"info":"number node, value=3365","layer":2},{"info":"compute binary expreesion, left_input=1636, right_input=3365, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-5122","layer":1},{"info":"compute unary expreesion, input=-5122, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=0","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲741⩚⊴⇥⫶⩼⫲EE5)∧=⫶⩼⫲0","reverse_text":"⫶⩼⫲0=(⫶⩼⫲741⩚⊴⇥⫶⩼⫲EE5)∧","cot":[{"info":"⫶⩼⫲741⩚⊴⇥⫶⩼⫲EE5=⫶⩼⫲-17B7","layer":1},{"info":"⫶⩼⫲-17B7∧=⫶⩼⫲0","layer":0}]}
{"id":804,"expression_no_base_symbol":"($3577$∧)∑⇟⊟($1510$≧⫂∧$5777$)","expression":"(⫶⩼⫲10D7∧)∑⇟⊟(⫶⩼⫲6AA≧⫂∧⫶⩼⫲1AA2)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":8,"operation_count":3,"complexity_ratio":2.6666666666666665,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":3577,"base":15}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1510,"base":15},"right_expr":{"type":"numeric_atoms","value":5777,"base":15}}},"used_operators":["U7g4x0WXJJ","z63VuFQld9","Ph9nP6C5qx"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=3577","layer":2},{"info":"compute unary expreesion, input=3577, 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=1510","layer":2},{"info":"number node, value=5777","layer":2},{"info":"compute binary expreesion, left_input=1510, right_input=5777, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=5304","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=5304, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲10D7∧)∑⇟⊟(⫶⩼⫲6AA≧⫂∧⫶⩼⫲1AA2)=NaN","reverse_text":"NaN=(⫶⩼⫲10D7∧)∑⇟⊟(⫶⩼⫲6AA≧⫂∧⫶⩼⫲1AA2)","cot":[{"info":"⫶⩼⫲10D7∧=NaN","layer":1},{"info":"⫶⩼⫲6AA≧⫂∧⫶⩼⫲1AA2=⫶⩼⫲1889","layer":1},{"info":"NaN∑⇟⊟⫶⩼⫲1889=NaN","layer":0}]}
{"id":805,"expression_no_base_symbol":"($1213$⫥∨⫟$1691$)⪮%⊝($3256$*$3242$)","expression":"(⫶⩼⫲55D⫥∨⫟⫶⩼⫲77B)⪮%⊝(⫶⩼⫲E71*⫶⩼⫲E62)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3405,"operation_count":3,"complexity_ratio":1135.0,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1213,"base":15},"right_expr":{"type":"numeric_atoms","value":1691,"base":15}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":3256,"base":15},"right_expr":{"type":"numeric_atoms","value":3242,"base":15}}},"used_operators":["IWmyXbctLI","KYD54nUTWz","9HNa5Wba9A"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1213","layer":2},{"info":"number node, value=1691","layer":2},{"info":"compute binary expreesion, left_input=1213, right_input=1691, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=3256","layer":2},{"info":"number node, value=3242","layer":2},{"info":"compute binary expreesion, left_input=3256, right_input=3242, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=10555952","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=10555952, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲55D⫥∨⫟⫶⩼⫲77B)⪮%⊝(⫶⩼⫲E71*⫶⩼⫲E62)=NaN","reverse_text":"NaN=(⫶⩼⫲55D⫥∨⫟⫶⩼⫲77B)⪮%⊝(⫶⩼⫲E71*⫶⩼⫲E62)","cot":[{"info":"⫶⩼⫲55D⫥∨⫟⫶⩼⫲77B=NaN","layer":1},{"info":"⫶⩼⫲E71*⫶⩼⫲E62=⫶⩼⫲DD7A52","layer":1},{"info":"NaN⪮%⊝⫶⩼⫲DD7A52=NaN","layer":0}]}
{"id":806,"expression_no_base_symbol":"↣≠⋷(≦∁$1034$)","expression":"↣≠⋷(≦∁⫶⩼⫲48E)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4,"operation_count":2,"complexity_ratio":2.0,"tree":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":1034,"base":15}}},"used_operators":["Asc51vEJeQ","9ICcGScMcE"],"dependent_operators":["XhwjNDsVaA","AHs5Up7iyr","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1034","layer":2},{"info":"compute unary expreesion, input=1034, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1034","layer":1},{"info":"compute unary expreesion, input=1034, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"↣≠⋷(≦∁⫶⩼⫲48E)=NaN","reverse_text":"NaN=↣≠⋷(≦∁⫶⩼⫲48E)","cot":[{"info":"≦∁⫶⩼⫲48E=⫶⩼⫲48E","layer":1},{"info":"↣≠⋷⫶⩼⫲48E=NaN","layer":0}]}
{"id":807,"expression_no_base_symbol":"($8163$⨸⪁$3221$)↙$5875$⇷$1346$","expression":"(⫶⩼⫲2643⨸⪁⫶⩼⫲E4B)↙⫶⩼⫲1B1A⇷⫶⩼⫲5EB","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":84954,"operation_count":3,"complexity_ratio":28318.0,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":8163,"base":15},"right_expr":{"type":"numeric_atoms","value":3221,"base":15}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":5875,"base":15},"right_expr":{"type":"numeric_atoms","value":1346,"base":15}}},"used_operators":["yyfyN0ffXY","g55IO6H4Gj","mp7IySMOzn"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"⫶⩼⫲-25D6","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=8163","layer":2},{"info":"number node, value=3221","layer":2},{"info":"compute binary expreesion, left_input=8163, right_input=3221, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=22768","layer":1},{"info":"number node, value=5875","layer":2},{"info":"number node, value=1346","layer":2},{"info":"compute binary expreesion, left_input=5875, right_input=1346, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2692","layer":1},{"info":"compute binary expreesion, left_input=22768, right_input=2692, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-8076","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲2643⨸⪁⫶⩼⫲E4B)↙⫶⩼⫲1B1A⇷⫶⩼⫲5EB=⫶⩼⫲-25D6","reverse_text":"⫶⩼⫲-25D6=(⫶⩼⫲2643⨸⪁⫶⩼⫲E4B)↙⫶⩼⫲1B1A⇷⫶⩼⫲5EB","cot":[{"info":"⫶⩼⫲2643⨸⪁⫶⩼⫲E4B=⫶⩼⫲6B2D","layer":1},{"info":"⫶⩼⫲1B1A⇷⫶⩼⫲5EB=⫶⩼⫲BE7","layer":1},{"info":"⫶⩼⫲6B2D↙⫶⩼⫲BE7=⫶⩼⫲-25D6","layer":0}]}
{"id":808,"expression_no_base_symbol":"(↽≂$1241$)⊦⊿","expression":"(↽≂⫶⩼⫲57B)⊦⊿","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":9,"operation_count":2,"complexity_ratio":4.5,"tree":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":1241,"base":15}}},"used_operators":["14qkJME0vr","u6S6b8DprG"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⫶⩼⫲22B2","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1241","layer":2},{"info":"compute unary expreesion, input=1241, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-2482","layer":1},{"info":"compute unary expreesion, input=-2482, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=7367","layer":0}],"base":15,"result_base":15,"text":"(↽≂⫶⩼⫲57B)⊦⊿=⫶⩼⫲22B2","reverse_text":"⫶⩼⫲22B2=(↽≂⫶⩼⫲57B)⊦⊿","cot":[{"info":"↽≂⫶⩼⫲57B=⫶⩼⫲-B07","layer":1},{"info":"⫶⩼⫲-B07⊦⊿=⫶⩼⫲22B2","layer":0}]}
{"id":809,"expression_no_base_symbol":"(∂$1168$)⫥∨⫟($6098$⨎$3883$)","expression":"(∂⫶⩼⫲52D)⫥∨⫟(⫶⩼⫲1C18⨎⫶⩼⫲123D)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":156,"operation_count":3,"complexity_ratio":52.0,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":1168,"base":15}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":6098,"base":15},"right_expr":{"type":"numeric_atoms","value":3883,"base":15}}},"used_operators":["KYD54nUTWz","Uaa54Peajs","rJVOvQCfKK"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1168","layer":2},{"info":"compute unary expreesion, input=1168, 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=6098","layer":2},{"info":"number node, value=3883","layer":2},{"info":"compute binary expreesion, left_input=6098, right_input=3883, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3883","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=3883, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"(∂⫶⩼⫲52D)⫥∨⫟(⫶⩼⫲1C18⨎⫶⩼⫲123D)=NaN","reverse_text":"NaN=(∂⫶⩼⫲52D)⫥∨⫟(⫶⩼⫲1C18⨎⫶⩼⫲123D)","cot":[{"info":"∂⫶⩼⫲52D=NaN","layer":1},{"info":"⫶⩼⫲1C18⨎⫶⩼⫲123D=⫶⩼⫲123D","layer":1},{"info":"NaN⫥∨⫟⫶⩼⫲123D=NaN","layer":0}]}
{"id":810,"expression_no_base_symbol":"⨞⊢(↣≠⋷$1019$)","expression":"⨞⊢(↣≠⋷⫶⩼⫲47E)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5,"operation_count":2,"complexity_ratio":2.5,"tree":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1019,"base":15}}},"used_operators":["xUOZtlo3hN","Asc51vEJeQ"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1019","layer":2},{"info":"compute unary expreesion, input=1019, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"⨞⊢(↣≠⋷⫶⩼⫲47E)=NaN","reverse_text":"NaN=⨞⊢(↣≠⋷⫶⩼⫲47E)","cot":[{"info":"↣≠⋷⫶⩼⫲47E=NaN","layer":1},{"info":"⨞⊢NaN=NaN","layer":0}]}
{"id":811,"expression_no_base_symbol":"($1215$⊠≄⫣)⨐⩸⫘(⫛⫱⨽$3857$)","expression":"(⫶⩼⫲560⊠≄⫣)⨐⩸⫘(⫛⫱⨽⫶⩼⫲1222)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1426,"operation_count":3,"complexity_ratio":475.3333333333333,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":1215,"base":15}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":3857,"base":15}}},"used_operators":["fu6greOZ01","DIvbN7qnHd","DlLNRPXxWL"],"dependent_operators":["3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC"],"result":"⫶⩼⫲0","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1215","layer":2},{"info":"compute unary expreesion, input=1215, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":1},{"info":"number node, value=3857","layer":2},{"info":"compute unary expreesion, input=3857, 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 = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=0","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲560⊠≄⫣)⨐⩸⫘(⫛⫱⨽⫶⩼⫲1222)=⫶⩼⫲0","reverse_text":"⫶⩼⫲0=(⫶⩼⫲560⊠≄⫣)⨐⩸⫘(⫛⫱⨽⫶⩼⫲1222)","cot":[{"info":"⫶⩼⫲560⊠≄⫣=⫶⩼⫲0","layer":1},{"info":"⫛⫱⨽⫶⩼⫲1222=⫶⩼⫲0","layer":1},{"info":"⫶⩼⫲0⨐⩸⫘⫶⩼⫲0=⫶⩼⫲0","layer":0}]}
{"id":812,"expression_no_base_symbol":"$1579$⨰$1842$⨁⊸⫻","expression":"⫶⩼⫲704⨰⫶⩼⫲82C⨁⊸⫻","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":9,"operation_count":2,"complexity_ratio":4.5,"tree":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1579,"base":15},"right_expr":{"type":"numeric_atoms","value":1842,"base":15}}},"used_operators":["glklzrTFfD","eewbuw0ToL"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫶⩼⫲-23B","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1579","layer":2},{"info":"number node, value=1842","layer":2},{"info":"compute binary expreesion, left_input=1579, right_input=1842, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-253","layer":1},{"info":"compute unary expreesion, input=-253, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=-506","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲704⨰⫶⩼⫲82C⨁⊸⫻=⫶⩼⫲-23B","reverse_text":"⫶⩼⫲-23B=⫶⩼⫲704⨰⫶⩼⫲82C⨁⊸⫻","cot":[{"info":"⫶⩼⫲704⨰⫶⩼⫲82C=⫶⩼⫲-11D","layer":1},{"info":"⫶⩼⫲-11D⨁⊸⫻=⫶⩼⫲-23B","layer":0}]}
{"id":813,"expression_no_base_symbol":"($3633$⪨≂$4806$)⪄($3523$⨵⪆$1096$)","expression":"(⫶⩼⫲1123⪨≂⫶⩼⫲1656)⪄(⫶⩼⫲109D⨵⪆⫶⩼⫲4D1)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":99,"operation_count":3,"complexity_ratio":33.0,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":3633,"base":15},"right_expr":{"type":"numeric_atoms","value":4806,"base":15}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":3523,"base":15},"right_expr":{"type":"numeric_atoms","value":1096,"base":15}}},"used_operators":["SUmda5xLS4","sdazOOVcIp","2DQ55sFlQl"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⫶⩼⫲12A4","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=3633","layer":2},{"info":"number node, value=4806","layer":2},{"info":"compute binary expreesion, left_input=3633, right_input=4806, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-2244","layer":1},{"info":"number node, value=3523","layer":2},{"info":"number node, value=1096","layer":2},{"info":"compute binary expreesion, left_input=3523, right_input=1096, 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=-2244, right_input=160, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲1123⪨≂⫶⩼⫲1656)⪄(⫶⩼⫲109D⨵⪆⫶⩼⫲4D1)=⫶⩼⫲12A4","reverse_text":"⫶⩼⫲12A4=(⫶⩼⫲1123⪨≂⫶⩼⫲1656)⪄(⫶⩼⫲109D⨵⪆⫶⩼⫲4D1)","cot":[{"info":"⫶⩼⫲1123⪨≂⫶⩼⫲1656=⫶⩼⫲-9E9","layer":1},{"info":"⫶⩼⫲109D⨵⪆⫶⩼⫲4D1=⫶⩼⫲AA","layer":1},{"info":"⫶⩼⫲-9E9⪄⫶⩼⫲AA=⫶⩼⫲12A4","layer":0}]}
{"id":814,"expression_no_base_symbol":"($3459$⪠⩆⊳)⋥≓≎(≉$2362$)","expression":"(⫶⩼⫲1059⪠⩆⊳)⋥≓≎(≉⫶⩼⫲A77)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":12,"operation_count":3,"complexity_ratio":4.0,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":3459,"base":15}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":2362,"base":15}}},"used_operators":["Qy55tPpLXF","JLbD19bQDL","e1ybzncUwg"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⫶⩼⫲1ACE","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=3459","layer":2},{"info":"compute unary expreesion, input=3459, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":1},{"info":"number node, value=2362","layer":2},{"info":"compute unary expreesion, input=2362, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=2893","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=2893, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=5819","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲1059⪠⩆⊳)⋥≓≎(≉⫶⩼⫲A77)=⫶⩼⫲1ACE","reverse_text":"⫶⩼⫲1ACE=(⫶⩼⫲1059⪠⩆⊳)⋥≓≎(≉⫶⩼⫲A77)","cot":[{"info":"⫶⩼⫲1059⪠⩆⊳=⫶⩼⫲0","layer":1},{"info":"≉⫶⩼⫲A77=⫶⩼⫲CCD","layer":1},{"info":"⫶⩼⫲0⋥≓≎⫶⩼⫲CCD=⫶⩼⫲1ACE","layer":0}]}
{"id":815,"expression_no_base_symbol":"⊙↵-($1204$⨸⪁$1004$)","expression":"⊙↵-(⫶⩼⫲554⨸⪁⫶⩼⫲46E)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4465,"operation_count":2,"complexity_ratio":2232.5,"tree":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1204,"base":15},"right_expr":{"type":"numeric_atoms","value":1004,"base":15}}},"used_operators":["oWn0xqSxBt","g55IO6H4Gj"],"dependent_operators":["dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe"],"result":"⫶⩼⫲-1","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1204","layer":2},{"info":"number node, value=1004","layer":2},{"info":"compute binary expreesion, left_input=1204, right_input=1004, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=4416","layer":1},{"info":"compute unary expreesion, input=4416, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":0}],"base":15,"result_base":15,"text":"⊙↵-(⫶⩼⫲554⨸⪁⫶⩼⫲46E)=⫶⩼⫲-1","reverse_text":"⫶⩼⫲-1=⊙↵-(⫶⩼⫲554⨸⪁⫶⩼⫲46E)","cot":[{"info":"⫶⩼⫲554⨸⪁⫶⩼⫲46E=⫶⩼⫲1496","layer":1},{"info":"⊙↵-⫶⩼⫲1496=⫶⩼⫲-1","layer":0}]}
{"id":816,"expression_no_base_symbol":"⨑⩽⪐$1101$≹⇙⪍$3429$","expression":"⨑⩽⪐⫶⩼⫲4D6≹⇙⪍⫶⩼⫲1039","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":8,"operation_count":2,"complexity_ratio":4.0,"tree":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1101,"base":15},"right_expr":{"type":"numeric_atoms","value":3429,"base":15}}},"used_operators":["AF7qkfDlqP","AHs5Up7iyr"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1101","layer":2},{"info":"number node, value=3429","layer":2},{"info":"compute binary expreesion, left_input=1101, right_input=3429, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=nan","layer":0}],"base":15,"result_base":15,"text":"⨑⩽⪐⫶⩼⫲4D6≹⇙⪍⫶⩼⫲1039=NaN","reverse_text":"NaN=⨑⩽⪐⫶⩼⫲4D6≹⇙⪍⫶⩼⫲1039","cot":[{"info":"⫶⩼⫲4D6≹⇙⪍⫶⩼⫲1039=NaN","layer":1},{"info":"⨑⩽⪐NaN=NaN","layer":0}]}
{"id":817,"expression_no_base_symbol":"($2292$⨸⪁$2721$)+⇶⊼$9215$⪛$2272$","expression":"(⫶⩼⫲A2C⨸⪁⫶⩼⫲C16)+⇶⊼⫶⩼⫲2AE5⪛⫶⩼⫲A17","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":11,"operation_count":3,"complexity_ratio":3.6666666666666665,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2292,"base":15},"right_expr":{"type":"numeric_atoms","value":2721,"base":15}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":9215,"base":15},"right_expr":{"type":"numeric_atoms","value":2272,"base":15}}},"used_operators":["TpPTUOHfaN","g55IO6H4Gj","uFcxV4UQCh"],"dependent_operators":["AHs5Up7iyr","W4YGzv6Whe","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2292","layer":2},{"info":"number node, value=2721","layer":2},{"info":"compute binary expreesion, left_input=2292, right_input=2721, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=10026","layer":1},{"info":"number node, value=9215","layer":2},{"info":"number node, value=2272","layer":2},{"info":"compute binary expreesion, left_input=9215, right_input=2272, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=127","layer":1},{"info":"compute binary expreesion, left_input=10026, right_input=127, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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":15,"result_base":15,"text":"(⫶⩼⫲A2C⨸⪁⫶⩼⫲C16)+⇶⊼⫶⩼⫲2AE5⪛⫶⩼⫲A17=NaN","reverse_text":"NaN=(⫶⩼⫲A2C⨸⪁⫶⩼⫲C16)+⇶⊼⫶⩼⫲2AE5⪛⫶⩼⫲A17","cot":[{"info":"⫶⩼⫲A2C⨸⪁⫶⩼⫲C16=⫶⩼⫲2E86","layer":1},{"info":"⫶⩼⫲2AE5⪛⫶⩼⫲A17=⫶⩼⫲87","layer":1},{"info":"⫶⩼⫲2E86+⇶⊼⫶⩼⫲87=NaN","layer":0}]}
{"id":818,"expression_no_base_symbol":"⊙↵-($4372$⇷$4865$)","expression":"⊙↵-(⫶⩼⫲1467⇷⫶⩼⫲1695)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":70990,"operation_count":2,"complexity_ratio":35495.0,"tree":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":4372,"base":15},"right_expr":{"type":"numeric_atoms","value":4865,"base":15}}},"used_operators":["oWn0xqSxBt","mp7IySMOzn"],"dependent_operators":["dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"⫶⩼⫲-1","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=4372","layer":2},{"info":"number node, value=4865","layer":2},{"info":"compute binary expreesion, left_input=4372, right_input=4865, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=9730","layer":1},{"info":"compute unary expreesion, input=9730, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":0}],"base":15,"result_base":15,"text":"⊙↵-(⫶⩼⫲1467⇷⫶⩼⫲1695)=⫶⩼⫲-1","reverse_text":"⫶⩼⫲-1=⊙↵-(⫶⩼⫲1467⇷⫶⩼⫲1695)","cot":[{"info":"⫶⩼⫲1467⇷⫶⩼⫲1695=⫶⩼⫲2D3A","layer":1},{"info":"⊙↵-⫶⩼⫲2D3A=⫶⩼⫲-1","layer":0}]}
{"id":819,"expression_no_base_symbol":"($5696$⇼⇔∾$1237$)⪄$6714$⪘⫢$1870$","expression":"(⫶⩼⫲1A4B⇼⇔∾⫶⩼⫲577)⪄⫶⩼⫲1EC9⪘⫢⫶⩼⫲84A","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":110,"operation_count":3,"complexity_ratio":36.666666666666664,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":5696,"base":15},"right_expr":{"type":"numeric_atoms","value":1237,"base":15}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":6714,"base":15},"right_expr":{"type":"numeric_atoms","value":1870,"base":15}}},"used_operators":["SUmda5xLS4","tifHPKVTfV","oacrs7FA3X"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"⫶⩼⫲12A4","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=5696","layer":2},{"info":"number node, value=1237","layer":2},{"info":"compute binary expreesion, left_input=5696, right_input=1237, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-4459","layer":1},{"info":"number node, value=6714","layer":2},{"info":"number node, value=1870","layer":2},{"info":"compute binary expreesion, left_input=6714, right_input=1870, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=13304","layer":1},{"info":"compute binary expreesion, left_input=-4459, right_input=13304, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲1A4B⇼⇔∾⫶⩼⫲577)⪄⫶⩼⫲1EC9⪘⫢⫶⩼⫲84A=⫶⩼⫲12A4","reverse_text":"⫶⩼⫲12A4=(⫶⩼⫲1A4B⇼⇔∾⫶⩼⫲577)⪄⫶⩼⫲1EC9⪘⫢⫶⩼⫲84A","cot":[{"info":"⫶⩼⫲1A4B⇼⇔∾⫶⩼⫲577=⫶⩼⫲-14C4","layer":1},{"info":"⫶⩼⫲1EC9⪘⫢⫶⩼⫲84A=⫶⩼⫲3E1E","layer":1},{"info":"⫶⩼⫲-14C4⪄⫶⩼⫲3E1E=⫶⩼⫲12A4","layer":0}]}
{"id":820,"expression_no_base_symbol":"($1030$+$1829$)⫥∨⫟$3058$+⇶⊼$5553$","expression":"(⫶⩼⫲48A+⫶⩼⫲81E)⫥∨⫟⫶⩼⫲D8D+⇶⊼⫶⩼⫲19A3","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":156,"operation_count":3,"complexity_ratio":52.0,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1030,"base":15},"right_expr":{"type":"numeric_atoms","value":1829,"base":15}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":3058,"base":15},"right_expr":{"type":"numeric_atoms","value":5553,"base":15}}},"used_operators":["KYD54nUTWz","W4YGzv6Whe","TpPTUOHfaN"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1030","layer":2},{"info":"number node, value=1829","layer":2},{"info":"compute binary expreesion, left_input=1030, right_input=1829, op_id = W4YGzv6Whe binary_op_definition= 'None', output=2859","layer":1},{"info":"number node, value=3058","layer":2},{"info":"number node, value=5553","layer":2},{"info":"compute binary expreesion, left_input=3058, right_input=5553, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=2859, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲48A+⫶⩼⫲81E)⫥∨⫟⫶⩼⫲D8D+⇶⊼⫶⩼⫲19A3=NaN","reverse_text":"NaN=(⫶⩼⫲48A+⫶⩼⫲81E)⫥∨⫟⫶⩼⫲D8D+⇶⊼⫶⩼⫲19A3","cot":[{"info":"⫶⩼⫲48A+⫶⩼⫲81E=⫶⩼⫲CA9","layer":1},{"info":"⫶⩼⫲D8D+⇶⊼⫶⩼⫲19A3=NaN","layer":1},{"info":"⫶⩼⫲CA9⫥∨⫟NaN=NaN","layer":0}]}
{"id":821,"expression_no_base_symbol":"($2386$↪⪝)⨰($6514$⩨$3564$)","expression":"(⫶⩼⫲A91↪⪝)⨰(⫶⩼⫲1DE4⩨⫶⩼⫲10C9)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":710,"operation_count":3,"complexity_ratio":236.66666666666666,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":2386,"base":15}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":6514,"base":15},"right_expr":{"type":"numeric_atoms","value":3564,"base":15}}},"used_operators":["eewbuw0ToL","l07mrZUIn9","2DlMacCsIx"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","2DDjHMKMc0","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"⫶⩼⫲CC38627","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2386","layer":2},{"info":"compute unary expreesion, input=2386, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=145980252","layer":1},{"info":"number node, value=6514","layer":2},{"info":"number node, value=3564","layer":2},{"info":"compute binary expreesion, left_input=6514, right_input=3564, 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=145980252, right_input=0, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=145980262","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲A91↪⪝)⨰(⫶⩼⫲1DE4⩨⫶⩼⫲10C9)=⫶⩼⫲CC38627","reverse_text":"⫶⩼⫲CC38627=(⫶⩼⫲A91↪⪝)⨰(⫶⩼⫲1DE4⩨⫶⩼⫲10C9)","cot":[{"info":"⫶⩼⫲A91↪⪝=⫶⩼⫲CC3861C","layer":1},{"info":"⫶⩼⫲1DE4⩨⫶⩼⫲10C9=⫶⩼⫲0","layer":1},{"info":"⫶⩼⫲CC3861C⨰⫶⩼⫲0=⫶⩼⫲CC38627","layer":0}]}
{"id":822,"expression_no_base_symbol":"($1676$⊠≄⫣)%($2592$⩠)","expression":"(⫶⩼⫲76B⊠≄⫣)%(⫶⩼⫲B7C⩠)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":22,"operation_count":3,"complexity_ratio":7.333333333333333,"tree":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":1676,"base":15}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":2592,"base":15}}},"used_operators":["k8jYdgA6NY","DIvbN7qnHd","sJAwomhLZr"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1676","layer":2},{"info":"compute unary expreesion, input=1676, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":1},{"info":"number node, value=2592","layer":2},{"info":"compute unary expreesion, input=2592, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲76B⊠≄⫣)%(⫶⩼⫲B7C⩠)=NaN","reverse_text":"NaN=(⫶⩼⫲76B⊠≄⫣)%(⫶⩼⫲B7C⩠)","cot":[{"info":"⫶⩼⫲76B⊠≄⫣=⫶⩼⫲0","layer":1},{"info":"⫶⩼⫲B7C⩠=⫶⩼⫲0","layer":1},{"info":"⫶⩼⫲0%⫶⩼⫲0=NaN","layer":0}]}
{"id":823,"expression_no_base_symbol":"⋗⩬⋾($2849$⊠≄⫣)","expression":"⋗⩬⋾(⫶⩼⫲C9E⊠≄⫣)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":6,"operation_count":2,"complexity_ratio":3.0,"tree":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":2849,"base":15}}},"used_operators":["DpFCA1CohY","DIvbN7qnHd"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⫶⩼⫲0","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=2849","layer":2},{"info":"compute unary expreesion, input=2849, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=0","layer":0}],"base":15,"result_base":15,"text":"⋗⩬⋾(⫶⩼⫲C9E⊠≄⫣)=⫶⩼⫲0","reverse_text":"⫶⩼⫲0=⋗⩬⋾(⫶⩼⫲C9E⊠≄⫣)","cot":[{"info":"⫶⩼⫲C9E⊠≄⫣=⫶⩼⫲0","layer":1},{"info":"⋗⩬⋾⫶⩼⫲0=⫶⩼⫲0","layer":0}]}
{"id":824,"expression_no_base_symbol":"$4269$≹⇙⪍$1361$⋥≓≎(⨈⫕$2692$)","expression":"⫶⩼⫲13E9≹⇙⪍⫶⩼⫲60B⋥≓≎(⨈⫕⫶⩼⫲BE7)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":389,"operation_count":3,"complexity_ratio":129.66666666666666,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":4269,"base":15},"right_expr":{"type":"numeric_atoms","value":1361,"base":15}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":2692,"base":15}}},"used_operators":["Qy55tPpLXF","AHs5Up7iyr","megm06wKyl"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q"],"result":"⫶⩼⫲47","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=4269","layer":2},{"info":"number node, value=1361","layer":2},{"info":"compute binary expreesion, left_input=4269, right_input=1361, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=2692","layer":2},{"info":"compute unary expreesion, input=2692, 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 = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲13E9≹⇙⪍⫶⩼⫲60B⋥≓≎(⨈⫕⫶⩼⫲BE7)=⫶⩼⫲47","reverse_text":"⫶⩼⫲47=⫶⩼⫲13E9≹⇙⪍⫶⩼⫲60B⋥≓≎(⨈⫕⫶⩼⫲BE7)","cot":[{"info":"⫶⩼⫲13E9≹⇙⪍⫶⩼⫲60B=NaN","layer":1},{"info":"⨈⫕⫶⩼⫲BE7=⫶⩼⫲-16","layer":1},{"info":"NaN⋥≓≎⫶⩼⫲-16=⫶⩼⫲47","layer":0}]}
{"id":825,"expression_no_base_symbol":"($3150$⩤)⩷∴($1384$⋳⪒$2303$)","expression":"(⫶⩼⫲E00⩤)⩷∴(⫶⩼⫲624⋳⪒⫶⩼⫲A38)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":14,"operation_count":3,"complexity_ratio":4.666666666666667,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":3150,"base":15}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1384,"base":15},"right_expr":{"type":"numeric_atoms","value":2303,"base":15}}},"used_operators":["9FxExcQeMw","Z2TMIBDE3Q","12rbrZMWeM"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⫶⩼⫲-1EAD","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=3150","layer":2},{"info":"compute unary expreesion, input=3150, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-3150","layer":1},{"info":"number node, value=1384","layer":2},{"info":"number node, value=2303","layer":2},{"info":"compute binary expreesion, left_input=1384, right_input=2303, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=178","layer":1},{"info":"compute binary expreesion, left_input=-3150, right_input=178, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-6688","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲E00⩤)⩷∴(⫶⩼⫲624⋳⪒⫶⩼⫲A38)=⫶⩼⫲-1EAD","reverse_text":"⫶⩼⫲-1EAD=(⫶⩼⫲E00⩤)⩷∴(⫶⩼⫲624⋳⪒⫶⩼⫲A38)","cot":[{"info":"⫶⩼⫲E00⩤=⫶⩼⫲-E00","layer":1},{"info":"⫶⩼⫲624⋳⪒⫶⩼⫲A38=⫶⩼⫲BD","layer":1},{"info":"⫶⩼⫲-E00⩷∴⫶⩼⫲BD=⫶⩼⫲-1EAD","layer":0}]}
{"id":826,"expression_no_base_symbol":"$1199$⨎$5826$⋳⪒($1349$*$8018$)","expression":"⫶⩼⫲54E⨎⫶⩼⫲1AD6⋳⪒(⫶⩼⫲5EE*⫶⩼⫲2598)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1357,"operation_count":3,"complexity_ratio":452.3333333333333,"tree":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1199,"base":15},"right_expr":{"type":"numeric_atoms","value":5826,"base":15}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1349,"base":15},"right_expr":{"type":"numeric_atoms","value":8018,"base":15}}},"used_operators":["12rbrZMWeM","rJVOvQCfKK","9HNa5Wba9A"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe"],"result":"⫶⩼⫲-E366CC","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1199","layer":2},{"info":"number node, value=5826","layer":2},{"info":"compute binary expreesion, left_input=1199, right_input=5826, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=5826","layer":1},{"info":"number node, value=1349","layer":2},{"info":"number node, value=8018","layer":2},{"info":"compute binary expreesion, left_input=1349, right_input=8018, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=10816282","layer":1},{"info":"compute binary expreesion, left_input=5826, right_input=10816282, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-10804917","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲54E⨎⫶⩼⫲1AD6⋳⪒(⫶⩼⫲5EE*⫶⩼⫲2598)=⫶⩼⫲-E366CC","reverse_text":"⫶⩼⫲-E366CC=⫶⩼⫲54E⨎⫶⩼⫲1AD6⋳⪒(⫶⩼⫲5EE*⫶⩼⫲2598)","cot":[{"info":"⫶⩼⫲54E⨎⫶⩼⫲1AD6=⫶⩼⫲1AD6","layer":1},{"info":"⫶⩼⫲5EE*⫶⩼⫲2598=⫶⩼⫲E39C57","layer":1},{"info":"⫶⩼⫲1AD6⋳⪒⫶⩼⫲E39C57=⫶⩼⫲-E366CC","layer":0}]}
{"id":827,"expression_no_base_symbol":"$7467$⨓$3308$↙($1283$⊭∹↮)","expression":"⫶⩼⫲232C⨓⫶⩼⫲EA8↙(⫶⩼⫲5A8⊭∹↮)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3321,"operation_count":3,"complexity_ratio":1107.0,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":7467,"base":15},"right_expr":{"type":"numeric_atoms","value":3308,"base":15}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":1283,"base":15}}},"used_operators":["yyfyN0ffXY","3ViojmjbAp","xNBdhnnwKq"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C"],"result":"⫶⩼⫲-EAB","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=7467","layer":2},{"info":"number node, value=3308","layer":2},{"info":"compute binary expreesion, left_input=7467, right_input=3308, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3311","layer":1},{"info":"number node, value=1283","layer":2},{"info":"compute unary expreesion, input=1283, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=2566","layer":1},{"info":"compute binary expreesion, left_input=-3311, right_input=2566, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3311","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲232C⨓⫶⩼⫲EA8↙(⫶⩼⫲5A8⊭∹↮)=⫶⩼⫲-EAB","reverse_text":"⫶⩼⫲-EAB=⫶⩼⫲232C⨓⫶⩼⫲EA8↙(⫶⩼⫲5A8⊭∹↮)","cot":[{"info":"⫶⩼⫲232C⨓⫶⩼⫲EA8=⫶⩼⫲-EAB","layer":1},{"info":"⫶⩼⫲5A8⊭∹↮=⫶⩼⫲B61","layer":1},{"info":"⫶⩼⫲-EAB↙⫶⩼⫲B61=⫶⩼⫲-EAB","layer":0}]}
{"id":828,"expression_no_base_symbol":"($4993$≭$2534$)⨰($2227$⊠≄⫣)","expression":"(⫶⩼⫲172D≭⫶⩼⫲B3E)⨰(⫶⩼⫲9D7⊠≄⫣)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":10,"operation_count":3,"complexity_ratio":3.3333333333333335,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":4993,"base":15},"right_expr":{"type":"numeric_atoms","value":2534,"base":15}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":2227,"base":15}}},"used_operators":["eewbuw0ToL","rxpJgHHUmx","DIvbN7qnHd"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=4993","layer":2},{"info":"number node, value=2534","layer":2},{"info":"compute binary expreesion, left_input=4993, right_input=2534, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=2227","layer":2},{"info":"compute unary expreesion, input=2227, 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 = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲172D≭⫶⩼⫲B3E)⨰(⫶⩼⫲9D7⊠≄⫣)=NaN","reverse_text":"NaN=(⫶⩼⫲172D≭⫶⩼⫲B3E)⨰(⫶⩼⫲9D7⊠≄⫣)","cot":[{"info":"⫶⩼⫲172D≭⫶⩼⫲B3E=NaN","layer":1},{"info":"⫶⩼⫲9D7⊠≄⫣=⫶⩼⫲0","layer":1},{"info":"NaN⨰⫶⩼⫲0=NaN","layer":0}]}
{"id":829,"expression_no_base_symbol":"↯⪼($3656$↺$1679$)","expression":"↯⪼(⫶⩼⫲113B↺⫶⩼⫲76E)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":33,"operation_count":2,"complexity_ratio":16.5,"tree":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":3656,"base":15},"right_expr":{"type":"numeric_atoms","value":1679,"base":15}}},"used_operators":["8jW3W4yZS5","7j4O788W3g"],"dependent_operators":["eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd"],"result":"⫶⩼⫲-16","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=3656","layer":2},{"info":"number node, value=1679","layer":2},{"info":"compute binary expreesion, left_input=3656, right_input=1679, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1679","layer":1},{"info":"compute unary expreesion, input=1679, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":0}],"base":15,"result_base":15,"text":"↯⪼(⫶⩼⫲113B↺⫶⩼⫲76E)=⫶⩼⫲-16","reverse_text":"⫶⩼⫲-16=↯⪼(⫶⩼⫲113B↺⫶⩼⫲76E)","cot":[{"info":"⫶⩼⫲113B↺⫶⩼⫲76E=⫶⩼⫲76E","layer":1},{"info":"↯⪼⫶⩼⫲76E=⫶⩼⫲-16","layer":0}]}
{"id":830,"expression_no_base_symbol":"$2926$⨟⋌⩍$1453$⊠≄⫣","expression":"⫶⩼⫲D01⨟⋌⩍⫶⩼⫲66D⊠≄⫣","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4,"operation_count":2,"complexity_ratio":2.0,"tree":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2926,"base":15},"right_expr":{"type":"numeric_atoms","value":1453,"base":15}}},"used_operators":["DIvbN7qnHd","rGHVDoGpnC"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=2926","layer":2},{"info":"number node, value=1453","layer":2},{"info":"compute binary expreesion, left_input=2926, right_input=1453, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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 = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲D01⨟⋌⩍⫶⩼⫲66D⊠≄⫣=NaN","reverse_text":"NaN=⫶⩼⫲D01⨟⋌⩍⫶⩼⫲66D⊠≄⫣","cot":[{"info":"⫶⩼⫲D01⨟⋌⩍⫶⩼⫲66D=NaN","layer":1},{"info":"NaN⊠≄⫣=NaN","layer":0}]}
{"id":831,"expression_no_base_symbol":"⫓⪴($3554$-$3909$)","expression":"⫓⪴(⫶⩼⫲10BE-⫶⩼⫲1259)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":356,"operation_count":2,"complexity_ratio":178.0,"tree":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":3554,"base":15},"right_expr":{"type":"numeric_atoms","value":3909,"base":15}}},"used_operators":["eLxqMNBOBk","rysDP5nf3Z"],"dependent_operators":["9HNa5Wba9A"],"result":"⫶⩼⫲2751A","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=3554","layer":2},{"info":"number node, value=3909","layer":2},{"info":"compute binary expreesion, left_input=3554, right_input=3909, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-355","layer":1},{"info":"compute unary expreesion, input=-355, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=126025","layer":0}],"base":15,"result_base":15,"text":"⫓⪴(⫶⩼⫲10BE-⫶⩼⫲1259)=⫶⩼⫲2751A","reverse_text":"⫶⩼⫲2751A=⫓⪴(⫶⩼⫲10BE-⫶⩼⫲1259)","cot":[{"info":"⫶⩼⫲10BE-⫶⩼⫲1259=⫶⩼⫲-18A","layer":1},{"info":"⫓⪴⫶⩼⫲-18A=⫶⩼⫲2751A","layer":0}]}
{"id":832,"expression_no_base_symbol":"(⨑⩽⪐$3918$)⨓($1005$⩷∴$6488$)","expression":"(⨑⩽⪐⫶⩼⫲1263)⨓(⫶⩼⫲470⩷∴⫶⩼⫲1DC8)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":11014,"operation_count":3,"complexity_ratio":3671.3333333333335,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":3918,"base":15}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1005,"base":15},"right_expr":{"type":"numeric_atoms","value":6488,"base":15}}},"used_operators":["3ViojmjbAp","AF7qkfDlqP","9FxExcQeMw"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z"],"result":"⫶⩼⫲33D0","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=3918","layer":2},{"info":"compute unary expreesion, input=3918, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-3645","layer":1},{"info":"number node, value=1005","layer":2},{"info":"number node, value=6488","layer":2},{"info":"compute binary expreesion, left_input=1005, right_input=6488, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-10998","layer":1},{"info":"compute binary expreesion, left_input=-3645, right_input=-10998, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=10995","layer":0}],"base":15,"result_base":15,"text":"(⨑⩽⪐⫶⩼⫲1263)⨓(⫶⩼⫲470⩷∴⫶⩼⫲1DC8)=⫶⩼⫲33D0","reverse_text":"⫶⩼⫲33D0=(⨑⩽⪐⫶⩼⫲1263)⨓(⫶⩼⫲470⩷∴⫶⩼⫲1DC8)","cot":[{"info":"⨑⩽⪐⫶⩼⫲1263=⫶⩼⫲-1130","layer":1},{"info":"⫶⩼⫲470⩷∴⫶⩼⫲1DC8=⫶⩼⫲-33D3","layer":1},{"info":"⫶⩼⫲-1130⨓⫶⩼⫲-33D3=⫶⩼⫲33D0","layer":0}]}
{"id":833,"expression_no_base_symbol":"($3680$*$1470$)⨎($6342$⫸⊐$5691$)","expression":"(⫶⩼⫲1155*⫶⩼⫲680)⨎(⫶⩼⫲1D2C⫸⊐⫶⩼⫲1A46)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1495,"operation_count":3,"complexity_ratio":498.3333333333333,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":3680,"base":15},"right_expr":{"type":"numeric_atoms","value":1470,"base":15}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":6342,"base":15},"right_expr":{"type":"numeric_atoms","value":5691,"base":15}}},"used_operators":["rJVOvQCfKK","9HNa5Wba9A","mqXw5SEYmG"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"⫶⩼⫲6A94","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=3680","layer":2},{"info":"number node, value=1470","layer":2},{"info":"compute binary expreesion, left_input=3680, right_input=1470, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=5409600","layer":1},{"info":"number node, value=6342","layer":2},{"info":"number node, value=5691","layer":2},{"info":"compute binary expreesion, left_input=6342, right_input=5691, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=22639","layer":1},{"info":"compute binary expreesion, left_input=5409600, right_input=22639, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=22639","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲1155*⫶⩼⫲680)⨎(⫶⩼⫲1D2C⫸⊐⫶⩼⫲1A46)=⫶⩼⫲6A94","reverse_text":"⫶⩼⫲6A94=(⫶⩼⫲1155*⫶⩼⫲680)⨎(⫶⩼⫲1D2C⫸⊐⫶⩼⫲1A46)","cot":[{"info":"⫶⩼⫲1155*⫶⩼⫲680=⫶⩼⫲71CCA0","layer":1},{"info":"⫶⩼⫲1D2C⫸⊐⫶⩼⫲1A46=⫶⩼⫲6A94","layer":1},{"info":"⫶⩼⫲71CCA0⨎⫶⩼⫲6A94=⫶⩼⫲6A94","layer":0}]}
{"id":834,"expression_no_base_symbol":"≉(↣≠⋷$5813$)","expression":"≉(↣≠⋷⫶⩼⫲1AC8)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4,"operation_count":2,"complexity_ratio":2.0,"tree":{"type":"unary","operator":"≉","unary_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":5813,"base":15}}},"used_operators":["e1ybzncUwg","Asc51vEJeQ"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=5813","layer":2},{"info":"compute unary expreesion, input=5813, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=nan","layer":0}],"base":15,"result_base":15,"text":"≉(↣≠⋷⫶⩼⫲1AC8)=NaN","reverse_text":"NaN=≉(↣≠⋷⫶⩼⫲1AC8)","cot":[{"info":"↣≠⋷⫶⩼⫲1AC8=NaN","layer":1},{"info":"≉NaN=NaN","layer":0}]}
{"id":835,"expression_no_base_symbol":"$1149$⩷∴$1498$⊉≛↸$2323$≧⫂∧$2254$","expression":"⫶⩼⫲519⩷∴⫶⩼⫲69D⊉≛↸⫶⩼⫲A4D≧⫂∧⫶⩼⫲A04","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":11,"operation_count":3,"complexity_ratio":3.6666666666666665,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1149,"base":15},"right_expr":{"type":"numeric_atoms","value":1498,"base":15}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2323,"base":15},"right_expr":{"type":"numeric_atoms","value":2254,"base":15}}},"used_operators":["DZ8iAZOCBD","9FxExcQeMw","Ph9nP6C5qx"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"⫶⩼⫲-7DB","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1149","layer":2},{"info":"number node, value=1498","layer":2},{"info":"compute binary expreesion, left_input=1149, right_input=1498, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-730","layer":1},{"info":"number node, value=2323","layer":2},{"info":"number node, value=2254","layer":2},{"info":"compute binary expreesion, left_input=2323, right_input=2254, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1781","layer":1},{"info":"compute binary expreesion, left_input=-730, right_input=1781, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=-1781","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲519⩷∴⫶⩼⫲69D⊉≛↸⫶⩼⫲A4D≧⫂∧⫶⩼⫲A04=⫶⩼⫲-7DB","reverse_text":"⫶⩼⫲-7DB=⫶⩼⫲519⩷∴⫶⩼⫲69D⊉≛↸⫶⩼⫲A4D≧⫂∧⫶⩼⫲A04","cot":[{"info":"⫶⩼⫲519⩷∴⫶⩼⫲69D=⫶⩼⫲-33A","layer":1},{"info":"⫶⩼⫲A4D≧⫂∧⫶⩼⫲A04=⫶⩼⫲7DB","layer":1},{"info":"⫶⩼⫲-33A⊉≛↸⫶⩼⫲7DB=⫶⩼⫲-7DB","layer":0}]}
{"id":836,"expression_no_base_symbol":"($2056$⨪↰⇹$1106$)⩠","expression":"(⫶⩼⫲921⨪↰⇹⫶⩼⫲4DB)⩠","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2074,"operation_count":2,"complexity_ratio":1037.0,"tree":{"type":"unary","operator":"⩠","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2056,"base":15},"right_expr":{"type":"numeric_atoms","value":1106,"base":15}}},"used_operators":["sJAwomhLZr","tmPS8pqC7x"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","rJVOvQCfKK"],"result":"⫶⩼⫲0","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=2056","layer":2},{"info":"number node, value=1106","layer":2},{"info":"compute binary expreesion, left_input=2056, right_input=1106, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=2056","layer":1},{"info":"compute unary expreesion, input=2056, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲921⨪↰⇹⫶⩼⫲4DB)⩠=⫶⩼⫲0","reverse_text":"⫶⩼⫲0=(⫶⩼⫲921⨪↰⇹⫶⩼⫲4DB)⩠","cot":[{"info":"⫶⩼⫲921⨪↰⇹⫶⩼⫲4DB=⫶⩼⫲921","layer":1},{"info":"⫶⩼⫲921⩠=⫶⩼⫲0","layer":0}]}
{"id":837,"expression_no_base_symbol":"$5967$⩚⊴⇥$3292$⩤","expression":"⫶⩼⫲1B7C⩚⊴⇥⫶⩼⫲E97⩤","highest_n_order":1,"priority_hierarchical_complexity":1,"normalized_expansion_degree":4,"operation_count":2,"complexity_ratio":2.0,"tree":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":5967,"base":15},"right_expr":{"type":"numeric_atoms","value":3292,"base":15}}},"used_operators":["Z2TMIBDE3Q","NTOWxs364D"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"⫶⩼⫲2BA5","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=5967","layer":2},{"info":"number node, value=3292","layer":2},{"info":"compute binary expreesion, left_input=5967, right_input=3292, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-9380","layer":1},{"info":"compute unary expreesion, input=-9380, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=9380","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲1B7C⩚⊴⇥⫶⩼⫲E97⩤=⫶⩼⫲2BA5","reverse_text":"⫶⩼⫲2BA5=⫶⩼⫲1B7C⩚⊴⇥⫶⩼⫲E97⩤","cot":[{"info":"⫶⩼⫲1B7C⩚⊴⇥⫶⩼⫲E97=⫶⩼⫲-2BA5","layer":1},{"info":"⫶⩼⫲-2BA5⩤=⫶⩼⫲2BA5","layer":0}]}
{"id":838,"expression_no_base_symbol":"($4083$∲⫓$7509$)∧","expression":"(⫶⩼⫲1323∲⫓⫶⩼⫲2359)∧","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":7,"operation_count":2,"complexity_ratio":3.5,"tree":{"type":"unary","operator":"∧","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":4083,"base":15},"right_expr":{"type":"numeric_atoms","value":7509,"base":15}}},"used_operators":["z63VuFQld9","i8ToyICDmI"],"dependent_operators":["B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd"],"result":"⫶⩼⫲0","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=4083","layer":2},{"info":"number node, value=7509","layer":2},{"info":"compute binary expreesion, left_input=4083, right_input=7509, 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 = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=0","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲1323∲⫓⫶⩼⫲2359)∧=⫶⩼⫲0","reverse_text":"⫶⩼⫲0=(⫶⩼⫲1323∲⫓⫶⩼⫲2359)∧","cot":[{"info":"⫶⩼⫲1323∲⫓⫶⩼⫲2359=⫶⩼⫲0","layer":1},{"info":"⫶⩼⫲0∧=⫶⩼⫲0","layer":0}]}
{"id":839,"expression_no_base_symbol":"∥⊫($5935$⊪)","expression":"∥⊫(⫶⩼⫲1B5A⊪)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":37,"operation_count":2,"complexity_ratio":18.5,"tree":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":5935,"base":15}}},"used_operators":["P8v4zCKN1o","zVYPLywUTj"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL"],"result":"⫶⩼⫲3CD","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=5935","layer":2},{"info":"compute unary expreesion, input=5935, 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 = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=868","layer":0}],"base":15,"result_base":15,"text":"∥⊫(⫶⩼⫲1B5A⊪)=⫶⩼⫲3CD","reverse_text":"⫶⩼⫲3CD=∥⊫(⫶⩼⫲1B5A⊪)","cot":[{"info":"⫶⩼⫲1B5A⊪=⫶⩼⫲0","layer":1},{"info":"∥⊫⫶⩼⫲0=⫶⩼⫲3CD","layer":0}]}
{"id":840,"expression_no_base_symbol":"($7792$*$2307$)⊭∹↮","expression":"(⫶⩼⫲2497*⫶⩼⫲A3C)⊭∹↮","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2313,"operation_count":2,"complexity_ratio":1156.5,"tree":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":7792,"base":15},"right_expr":{"type":"numeric_atoms","value":2307,"base":15}}},"used_operators":["xNBdhnnwKq","9HNa5Wba9A"],"dependent_operators":["2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe"],"result":"⫶⩼⫲32527E3","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=7792","layer":2},{"info":"number node, value=2307","layer":2},{"info":"compute binary expreesion, left_input=7792, right_input=2307, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=17976144","layer":1},{"info":"compute unary expreesion, input=17976144, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=35952288","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲2497*⫶⩼⫲A3C)⊭∹↮=⫶⩼⫲32527E3","reverse_text":"⫶⩼⫲32527E3=(⫶⩼⫲2497*⫶⩼⫲A3C)⊭∹↮","cot":[{"info":"⫶⩼⫲2497*⫶⩼⫲A3C=⫶⩼⫲18A13E9","layer":1},{"info":"⫶⩼⫲18A13E9⊭∹↮=⫶⩼⫲32527E3","layer":0}]}
{"id":841,"expression_no_base_symbol":"$5636$⨟⋌⩍$1890$⨳⩥⨓$2492$⇷$1751$","expression":"⫶⩼⫲1A0B⨟⋌⩍⫶⩼⫲860⨳⩥⨓⫶⩼⫲B12⇷⫶⩼⫲7BB","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":34898,"operation_count":3,"complexity_ratio":11632.666666666666,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":5636,"base":15},"right_expr":{"type":"numeric_atoms","value":1890,"base":15}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2492,"base":15},"right_expr":{"type":"numeric_atoms","value":1751,"base":15}}},"used_operators":["nCS4ZIUYfx","rGHVDoGpnC","mp7IySMOzn"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","Tcnh7f0tEr","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=5636","layer":2},{"info":"number node, value=1890","layer":2},{"info":"compute binary expreesion, left_input=5636, right_input=1890, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=2492","layer":2},{"info":"number node, value=1751","layer":2},{"info":"compute binary expreesion, left_input=2492, right_input=1751, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3502","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=3502, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲1A0B⨟⋌⩍⫶⩼⫲860⨳⩥⨓⫶⩼⫲B12⇷⫶⩼⫲7BB=NaN","reverse_text":"NaN=⫶⩼⫲1A0B⨟⋌⩍⫶⩼⫲860⨳⩥⨓⫶⩼⫲B12⇷⫶⩼⫲7BB","cot":[{"info":"⫶⩼⫲1A0B⨟⋌⩍⫶⩼⫲860=NaN","layer":1},{"info":"⫶⩼⫲B12⇷⫶⩼⫲7BB=⫶⩼⫲1087","layer":1},{"info":"NaN⨳⩥⨓⫶⩼⫲1087=NaN","layer":0}]}
{"id":842,"expression_no_base_symbol":"($5955$⩚⊴⇥$1162$)⪘⫢($2693$⊭↱$2580$)","expression":"(⫶⩼⫲1B70⩚⊴⇥⫶⩼⫲527)⪘⫢(⫶⩼⫲BE8⊭↱⫶⩼⫲B70)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":18,"operation_count":3,"complexity_ratio":6.0,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":5955,"base":15},"right_expr":{"type":"numeric_atoms","value":1162,"base":15}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":2693,"base":15},"right_expr":{"type":"numeric_atoms","value":2580,"base":15}}},"used_operators":["oacrs7FA3X","NTOWxs364D","COABgblf1C"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫶⩼⫲-1","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=5955","layer":2},{"info":"number node, value=1162","layer":2},{"info":"compute binary expreesion, left_input=5955, right_input=1162, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-7238","layer":1},{"info":"number node, value=2693","layer":2},{"info":"number node, value=2580","layer":2},{"info":"compute binary expreesion, left_input=2693, right_input=2580, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-221","layer":1},{"info":"compute binary expreesion, left_input=-7238, right_input=-221, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=-1","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲1B70⩚⊴⇥⫶⩼⫲527)⪘⫢(⫶⩼⫲BE8⊭↱⫶⩼⫲B70)=⫶⩼⫲-1","reverse_text":"⫶⩼⫲-1=(⫶⩼⫲1B70⩚⊴⇥⫶⩼⫲527)⪘⫢(⫶⩼⫲BE8⊭↱⫶⩼⫲B70)","cot":[{"info":"⫶⩼⫲1B70⩚⊴⇥⫶⩼⫲527=⫶⩼⫲-2228","layer":1},{"info":"⫶⩼⫲BE8⊭↱⫶⩼⫲B70=⫶⩼⫲-EB","layer":1},{"info":"⫶⩼⫲-2228⪘⫢⫶⩼⫲-EB=⫶⩼⫲-1","layer":0}]}
{"id":843,"expression_no_base_symbol":"(⫛⫱⨽$2564$)⨎(↽≂$1843$)","expression":"(⫛⫱⨽⫶⩼⫲B5E)⨎(↽≂⫶⩼⫲82D)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1426,"operation_count":3,"complexity_ratio":475.3333333333333,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":2564,"base":15}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":1843,"base":15}}},"used_operators":["rJVOvQCfKK","DlLNRPXxWL","u6S6b8DprG"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⫶⩼⫲-115B","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2564","layer":2},{"info":"compute unary expreesion, input=2564, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":1},{"info":"number node, value=1843","layer":2},{"info":"compute unary expreesion, input=1843, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-3686","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-3686, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-3686","layer":0}],"base":15,"result_base":15,"text":"(⫛⫱⨽⫶⩼⫲B5E)⨎(↽≂⫶⩼⫲82D)=⫶⩼⫲-115B","reverse_text":"⫶⩼⫲-115B=(⫛⫱⨽⫶⩼⫲B5E)⨎(↽≂⫶⩼⫲82D)","cot":[{"info":"⫛⫱⨽⫶⩼⫲B5E=⫶⩼⫲0","layer":1},{"info":"↽≂⫶⩼⫲82D=⫶⩼⫲-115B","layer":1},{"info":"⫶⩼⫲0⨎⫶⩼⫲-115B=⫶⩼⫲-115B","layer":0}]}
{"id":844,"expression_no_base_symbol":"(⊙↵-$3285$)⊉≛↸$5105$≹⇙⪍$4087$","expression":"(⊙↵-⫶⩼⫲E90)⊉≛↸⫶⩼⫲17A5≹⇙⪍⫶⩼⫲1327","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3334,"operation_count":3,"complexity_ratio":1111.3333333333333,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":3285,"base":15}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":5105,"base":15},"right_expr":{"type":"numeric_atoms","value":4087,"base":15}}},"used_operators":["DZ8iAZOCBD","oWn0xqSxBt","AHs5Up7iyr"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","dWAJyo7jo9"],"result":"⫶⩼⫲-2","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=3285","layer":2},{"info":"compute unary expreesion, input=3285, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":1},{"info":"number node, value=5105","layer":2},{"info":"number node, value=4087","layer":2},{"info":"compute binary expreesion, left_input=5105, right_input=4087, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-1, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=-2","layer":0}],"base":15,"result_base":15,"text":"(⊙↵-⫶⩼⫲E90)⊉≛↸⫶⩼⫲17A5≹⇙⪍⫶⩼⫲1327=⫶⩼⫲-2","reverse_text":"⫶⩼⫲-2=(⊙↵-⫶⩼⫲E90)⊉≛↸⫶⩼⫲17A5≹⇙⪍⫶⩼⫲1327","cot":[{"info":"⊙↵-⫶⩼⫲E90=⫶⩼⫲-1","layer":1},{"info":"⫶⩼⫲17A5≹⇙⪍⫶⩼⫲1327=NaN","layer":1},{"info":"⫶⩼⫲-1⊉≛↸NaN=⫶⩼⫲-2","layer":0}]}
{"id":845,"expression_no_base_symbol":"($4901$↬$2315$)⪘⫢$4650$∀⇚≩$2803$","expression":"(⫶⩼⫲16BB↬⫶⩼⫲A45)⪘⫢⫶⩼⫲15A0∀⇚≩⫶⩼⫲C6D","highest_n_order":5,"priority_hierarchical_complexity":1,"normalized_expansion_degree":32560,"operation_count":3,"complexity_ratio":10853.333333333334,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":4901,"base":15},"right_expr":{"type":"numeric_atoms","value":2315,"base":15}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":4650,"base":15},"right_expr":{"type":"numeric_atoms","value":2803,"base":15}}},"used_operators":["oacrs7FA3X","B5M0gjZbta","LRNGc0VcxI"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rGHVDoGpnC","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=4901","layer":2},{"info":"number node, value=2315","layer":2},{"info":"compute binary expreesion, left_input=4901, right_input=2315, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=4650","layer":2},{"info":"number node, value=2803","layer":2},{"info":"compute binary expreesion, left_input=4650, right_input=2803, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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":15,"result_base":15,"text":"(⫶⩼⫲16BB↬⫶⩼⫲A45)⪘⫢⫶⩼⫲15A0∀⇚≩⫶⩼⫲C6D=NaN","reverse_text":"NaN=(⫶⩼⫲16BB↬⫶⩼⫲A45)⪘⫢⫶⩼⫲15A0∀⇚≩⫶⩼⫲C6D","cot":[{"info":"⫶⩼⫲16BB↬⫶⩼⫲A45=NaN","layer":1},{"info":"⫶⩼⫲15A0∀⇚≩⫶⩼⫲C6D=NaN","layer":1},{"info":"NaN⪘⫢NaN=NaN","layer":0}]}
{"id":846,"expression_no_base_symbol":"$1045$⫥∨⫟$2610$↺($1952$⪄$2484$)","expression":"⫶⩼⫲49A⫥∨⫟⫶⩼⫲B90↺(⫶⩼⫲8A2⪄⫶⩼⫲B09)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":251,"operation_count":3,"complexity_ratio":83.66666666666667,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1045,"base":15},"right_expr":{"type":"numeric_atoms","value":2610,"base":15}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1952,"base":15},"right_expr":{"type":"numeric_atoms","value":2484,"base":15}}},"used_operators":["7j4O788W3g","KYD54nUTWz","SUmda5xLS4"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"⫶⩼⫲-5C5B6","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1045","layer":2},{"info":"number node, value=2610","layer":2},{"info":"compute binary expreesion, left_input=1045, right_input=2610, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=1952","layer":2},{"info":"number node, value=2484","layer":2},{"info":"compute binary expreesion, left_input=1952, right_input=2484, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-294921","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-294921, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-294921","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲49A⫥∨⫟⫶⩼⫲B90↺(⫶⩼⫲8A2⪄⫶⩼⫲B09)=⫶⩼⫲-5C5B6","reverse_text":"⫶⩼⫲-5C5B6=⫶⩼⫲49A⫥∨⫟⫶⩼⫲B90↺(⫶⩼⫲8A2⪄⫶⩼⫲B09)","cot":[{"info":"⫶⩼⫲49A⫥∨⫟⫶⩼⫲B90=NaN","layer":1},{"info":"⫶⩼⫲8A2⪄⫶⩼⫲B09=⫶⩼⫲-5C5B6","layer":1},{"info":"NaN↺⫶⩼⫲-5C5B6=⫶⩼⫲-5C5B6","layer":0}]}
{"id":847,"expression_no_base_symbol":"$2208$↬$3130$-$6043$⩷∴$1465$","expression":"⫶⩼⫲9C3↬⫶⩼⫲DDA-⫶⩼⫲1BCD⩷∴⫶⩼⫲67A","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":8,"operation_count":3,"complexity_ratio":2.6666666666666665,"tree":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2208,"base":15},"right_expr":{"type":"numeric_atoms","value":3130,"base":15}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":6043,"base":15},"right_expr":{"type":"numeric_atoms","value":1465,"base":15}}},"used_operators":["rysDP5nf3Z","B5M0gjZbta","9FxExcQeMw"],"dependent_operators":["rGHVDoGpnC","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=2208","layer":2},{"info":"number node, value=3130","layer":2},{"info":"compute binary expreesion, left_input=2208, right_input=3130, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=6043","layer":2},{"info":"number node, value=1465","layer":2},{"info":"compute binary expreesion, left_input=6043, right_input=1465, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=9124","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=9124, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲9C3↬⫶⩼⫲DDA-⫶⩼⫲1BCD⩷∴⫶⩼⫲67A=NaN","reverse_text":"NaN=⫶⩼⫲9C3↬⫶⩼⫲DDA-⫶⩼⫲1BCD⩷∴⫶⩼⫲67A","cot":[{"info":"⫶⩼⫲9C3↬⫶⩼⫲DDA=NaN","layer":1},{"info":"⫶⩼⫲1BCD⩷∴⫶⩼⫲67A=⫶⩼⫲2A84","layer":1},{"info":"NaN-⫶⩼⫲2A84=NaN","layer":0}]}
{"id":848,"expression_no_base_symbol":"($5390$≫≃)⨵⪆(⋗⩬⋾$5963$)","expression":"(⫶⩼⫲18E5≫≃)⨵⪆(⋗⩬⋾⫶⩼⫲1B78)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":11,"operation_count":3,"complexity_ratio":3.6666666666666665,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":5390,"base":15}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":5963,"base":15}}},"used_operators":["2DQ55sFlQl","X99M06cbEe","DpFCA1CohY"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫶⩼⫲AA","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=5390","layer":2},{"info":"compute unary expreesion, input=5390, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=12181","layer":1},{"info":"number node, value=5963","layer":2},{"info":"compute unary expreesion, input=5963, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-17889","layer":1},{"info":"compute binary expreesion, left_input=12181, right_input=-17889, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲18E5≫≃)⨵⪆(⋗⩬⋾⫶⩼⫲1B78)=⫶⩼⫲AA","reverse_text":"⫶⩼⫲AA=(⫶⩼⫲18E5≫≃)⨵⪆(⋗⩬⋾⫶⩼⫲1B78)","cot":[{"info":"⫶⩼⫲18E5≫≃=⫶⩼⫲3921","layer":1},{"info":"⋗⩬⋾⫶⩼⫲1B78=⫶⩼⫲-5479","layer":1},{"info":"⫶⩼⫲3921⨵⪆⫶⩼⫲-5479=⫶⩼⫲AA","layer":0}]}
{"id":849,"expression_no_base_symbol":"$4798$⪛$5838$⋝⋈⪟$4596$⪢$3610$","expression":"⫶⩼⫲164D⪛⫶⩼⫲1AE3⋝⋈⪟⫶⩼⫲1566⪢⫶⩼⫲110A","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5430,"operation_count":3,"complexity_ratio":1810.0,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":4798,"base":15},"right_expr":{"type":"numeric_atoms","value":5838,"base":15}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":4596,"base":15},"right_expr":{"type":"numeric_atoms","value":3610,"base":15}}},"used_operators":["2DDjHMKMc0","uFcxV4UQCh","dWAJyo7jo9"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=4798","layer":2},{"info":"number node, value=5838","layer":2},{"info":"compute binary expreesion, left_input=4798, right_input=5838, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=4798","layer":1},{"info":"number node, value=4596","layer":2},{"info":"number node, value=3610","layer":2},{"info":"compute binary expreesion, left_input=4596, right_input=3610, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=4798, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲164D⪛⫶⩼⫲1AE3⋝⋈⪟⫶⩼⫲1566⪢⫶⩼⫲110A=NaN","reverse_text":"NaN=⫶⩼⫲164D⪛⫶⩼⫲1AE3⋝⋈⪟⫶⩼⫲1566⪢⫶⩼⫲110A","cot":[{"info":"⫶⩼⫲164D⪛⫶⩼⫲1AE3=⫶⩼⫲164D","layer":1},{"info":"⫶⩼⫲1566⪢⫶⩼⫲110A=NaN","layer":1},{"info":"⫶⩼⫲164D⋝⋈⪟NaN=NaN","layer":0}]}
{"id":850,"expression_no_base_symbol":"↔($6209$%$3451$)","expression":"↔(⫶⩼⫲1C8E%⫶⩼⫲1051)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":8,"operation_count":2,"complexity_ratio":4.0,"tree":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":6209,"base":15},"right_expr":{"type":"numeric_atoms","value":3451,"base":15}}},"used_operators":["ruOEQAzv1W","k8jYdgA6NY"],"dependent_operators":["XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z"],"result":"⫶⩼⫲-B0A","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=6209","layer":2},{"info":"number node, value=3451","layer":2},{"info":"compute binary expreesion, left_input=6209, right_input=3451, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2758","layer":1},{"info":"compute unary expreesion, input=2758, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-2485","layer":0}],"base":15,"result_base":15,"text":"↔(⫶⩼⫲1C8E%⫶⩼⫲1051)=⫶⩼⫲-B0A","reverse_text":"⫶⩼⫲-B0A=↔(⫶⩼⫲1C8E%⫶⩼⫲1051)","cot":[{"info":"⫶⩼⫲1C8E%⫶⩼⫲1051=⫶⩼⫲C3D","layer":1},{"info":"↔⫶⩼⫲C3D=⫶⩼⫲-B0A","layer":0}]}
{"id":851,"expression_no_base_symbol":"$2093$⋝⋈⪟$3781$⋝⋈⪟$1292$↬$5526$","expression":"⫶⩼⫲948⋝⋈⪟⫶⩼⫲11C1⋝⋈⪟⫶⩼⫲5B2↬⫶⩼⫲1986","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":7,"operation_count":3,"complexity_ratio":2.3333333333333335,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2093,"base":15},"right_expr":{"type":"numeric_atoms","value":3781,"base":15}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1292,"base":15},"right_expr":{"type":"numeric_atoms","value":5526,"base":15}}},"used_operators":["2DDjHMKMc0","B5M0gjZbta"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=2093","layer":2},{"info":"number node, value=3781","layer":2},{"info":"compute binary expreesion, left_input=2093, right_input=3781, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2093","layer":1},{"info":"number node, value=1292","layer":2},{"info":"number node, value=5526","layer":2},{"info":"compute binary expreesion, left_input=1292, right_input=5526, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=2093, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲948⋝⋈⪟⫶⩼⫲11C1⋝⋈⪟⫶⩼⫲5B2↬⫶⩼⫲1986=NaN","reverse_text":"NaN=⫶⩼⫲948⋝⋈⪟⫶⩼⫲11C1⋝⋈⪟⫶⩼⫲5B2↬⫶⩼⫲1986","cot":[{"info":"⫶⩼⫲948⋝⋈⪟⫶⩼⫲11C1=⫶⩼⫲948","layer":1},{"info":"⫶⩼⫲5B2↬⫶⩼⫲1986=NaN","layer":1},{"info":"⫶⩼⫲948⋝⋈⪟NaN=NaN","layer":0}]}
{"id":852,"expression_no_base_symbol":"$2593$⨎$3939$⪨≂$4193$⨐⩸⫘$1693$","expression":"⫶⩼⫲B7D⨎⫶⩼⫲1279⪨≂⫶⩼⫲1398⨐⩸⫘⫶⩼⫲77D","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7,"operation_count":3,"complexity_ratio":2.3333333333333335,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2593,"base":15},"right_expr":{"type":"numeric_atoms","value":3939,"base":15}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":4193,"base":15},"right_expr":{"type":"numeric_atoms","value":1693,"base":15}}},"used_operators":["sdazOOVcIp","rJVOvQCfKK","fu6greOZ01"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=2593","layer":2},{"info":"number node, value=3939","layer":2},{"info":"compute binary expreesion, left_input=2593, right_input=3939, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3939","layer":1},{"info":"number node, value=4193","layer":2},{"info":"number node, value=1693","layer":2},{"info":"compute binary expreesion, left_input=4193, right_input=1693, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=3939, 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":15,"result_base":15,"text":"⫶⩼⫲B7D⨎⫶⩼⫲1279⪨≂⫶⩼⫲1398⨐⩸⫘⫶⩼⫲77D=NaN","reverse_text":"NaN=⫶⩼⫲B7D⨎⫶⩼⫲1279⪨≂⫶⩼⫲1398⨐⩸⫘⫶⩼⫲77D","cot":[{"info":"⫶⩼⫲B7D⨎⫶⩼⫲1279=⫶⩼⫲1279","layer":1},{"info":"⫶⩼⫲1398⨐⩸⫘⫶⩼⫲77D=NaN","layer":1},{"info":"⫶⩼⫲1279⪨≂NaN=NaN","layer":0}]}
{"id":853,"expression_no_base_symbol":"($1030$⩷∴$1150$)↬($7474$∲⫓$2523$)","expression":"(⫶⩼⫲48A⩷∴⫶⩼⫲51A)↬(⫶⩼⫲2334∲⫓⫶⩼⫲B33)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":9,"operation_count":3,"complexity_ratio":3.0,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1030,"base":15},"right_expr":{"type":"numeric_atoms","value":1150,"base":15}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":7474,"base":15},"right_expr":{"type":"numeric_atoms","value":2523,"base":15}}},"used_operators":["B5M0gjZbta","9FxExcQeMw","i8ToyICDmI"],"dependent_operators":["rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1030","layer":2},{"info":"number node, value=1150","layer":2},{"info":"compute binary expreesion, left_input=1030, right_input=1150, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-272","layer":1},{"info":"number node, value=7474","layer":2},{"info":"number node, value=2523","layer":2},{"info":"compute binary expreesion, left_input=7474, right_input=2523, 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=-272, 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":15,"result_base":15,"text":"(⫶⩼⫲48A⩷∴⫶⩼⫲51A)↬(⫶⩼⫲2334∲⫓⫶⩼⫲B33)=NaN","reverse_text":"NaN=(⫶⩼⫲48A⩷∴⫶⩼⫲51A)↬(⫶⩼⫲2334∲⫓⫶⩼⫲B33)","cot":[{"info":"⫶⩼⫲48A⩷∴⫶⩼⫲51A=⫶⩼⫲-132","layer":1},{"info":"⫶⩼⫲2334∲⫓⫶⩼⫲B33=⫶⩼⫲0","layer":1},{"info":"⫶⩼⫲-132↬⫶⩼⫲0=NaN","layer":0}]}
{"id":854,"expression_no_base_symbol":"$1364$⇷$1163$⊭∹↮","expression":"⫶⩼⫲60E⇷⫶⩼⫲528⊭∹↮","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":19108,"operation_count":2,"complexity_ratio":9554.0,"tree":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1364,"base":15},"right_expr":{"type":"numeric_atoms","value":1163,"base":15}}},"used_operators":["xNBdhnnwKq","mp7IySMOzn"],"dependent_operators":["2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"⫶⩼⫲15A2","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1364","layer":2},{"info":"number node, value=1163","layer":2},{"info":"compute binary expreesion, left_input=1364, right_input=1163, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2326","layer":1},{"info":"compute unary expreesion, input=2326, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=4652","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲60E⇷⫶⩼⫲528⊭∹↮=⫶⩼⫲15A2","reverse_text":"⫶⩼⫲15A2=⫶⩼⫲60E⇷⫶⩼⫲528⊭∹↮","cot":[{"info":"⫶⩼⫲60E⇷⫶⩼⫲528=⫶⩼⫲A51","layer":1},{"info":"⫶⩼⫲A51⊭∹↮=⫶⩼⫲15A2","layer":0}]}
{"id":855,"expression_no_base_symbol":"$1266$⨪↰⇹$4104$⨎$6363$⋝⋈⪟$2012$","expression":"⫶⩼⫲596⨪↰⇹⫶⩼⫲1339⨎⫶⩼⫲1D43⋝⋈⪟⫶⩼⫲8E2","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1270,"operation_count":3,"complexity_ratio":423.3333333333333,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1266,"base":15},"right_expr":{"type":"numeric_atoms","value":4104,"base":15}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":6363,"base":15},"right_expr":{"type":"numeric_atoms","value":2012,"base":15}}},"used_operators":["rJVOvQCfKK","tmPS8pqC7x","2DDjHMKMc0"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd"],"result":"⫶⩼⫲1D43","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1266","layer":2},{"info":"number node, value=4104","layer":2},{"info":"compute binary expreesion, left_input=1266, right_input=4104, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1266","layer":1},{"info":"number node, value=6363","layer":2},{"info":"number node, value=2012","layer":2},{"info":"compute binary expreesion, left_input=6363, right_input=2012, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=6363","layer":1},{"info":"compute binary expreesion, left_input=1266, right_input=6363, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=6363","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲596⨪↰⇹⫶⩼⫲1339⨎⫶⩼⫲1D43⋝⋈⪟⫶⩼⫲8E2=⫶⩼⫲1D43","reverse_text":"⫶⩼⫲1D43=⫶⩼⫲596⨪↰⇹⫶⩼⫲1339⨎⫶⩼⫲1D43⋝⋈⪟⫶⩼⫲8E2","cot":[{"info":"⫶⩼⫲596⨪↰⇹⫶⩼⫲1339=⫶⩼⫲596","layer":1},{"info":"⫶⩼⫲1D43⋝⋈⪟⫶⩼⫲8E2=⫶⩼⫲1D43","layer":1},{"info":"⫶⩼⫲596⨎⫶⩼⫲1D43=⫶⩼⫲1D43","layer":0}]}
{"id":856,"expression_no_base_symbol":"($6254$∲⫓$2094$)⪛(⪝⪂⫅$1904$)","expression":"(⫶⩼⫲1CBE∲⫓⫶⩼⫲949)⪛(⪝⪂⫅⫶⩼⫲86E)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":156,"operation_count":3,"complexity_ratio":52.0,"tree":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":6254,"base":15},"right_expr":{"type":"numeric_atoms","value":2094,"base":15}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":1904,"base":15}}},"used_operators":["uFcxV4UQCh","i8ToyICDmI","XTarYq4gQB"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp"],"result":"⫶⩼⫲0","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=6254","layer":2},{"info":"number node, value=2094","layer":2},{"info":"compute binary expreesion, left_input=6254, right_input=2094, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":1},{"info":"number node, value=1904","layer":2},{"info":"compute unary expreesion, input=1904, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-279888","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-279888, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=0","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲1CBE∲⫓⫶⩼⫲949)⪛(⪝⪂⫅⫶⩼⫲86E)=⫶⩼⫲0","reverse_text":"⫶⩼⫲0=(⫶⩼⫲1CBE∲⫓⫶⩼⫲949)⪛(⪝⪂⫅⫶⩼⫲86E)","cot":[{"info":"⫶⩼⫲1CBE∲⫓⫶⩼⫲949=⫶⩼⫲0","layer":1},{"info":"⪝⪂⫅⫶⩼⫲86E=⫶⩼⫲-57DE3","layer":1},{"info":"⫶⩼⫲0⪛⫶⩼⫲-57DE3=⫶⩼⫲0","layer":0}]}
{"id":857,"expression_no_base_symbol":"(⨵≀≌$8917$)/$4518$-$3377$","expression":"(⨵≀≌⫶⩼⫲2997)/⫶⩼⫲1513-⫶⩼⫲1002","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":27,"operation_count":3,"complexity_ratio":9.0,"tree":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":8917,"base":15}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":4518,"base":15},"right_expr":{"type":"numeric_atoms","value":3377,"base":15}}},"used_operators":["XhwjNDsVaA","srAu1WTS94","rysDP5nf3Z"],"dependent_operators":["rysDP5nf3Z","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A"],"result":"⫶⩼⫲-19","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=8917","layer":2},{"info":"compute unary expreesion, input=8917, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-26751","layer":1},{"info":"number node, value=4518","layer":2},{"info":"number node, value=3377","layer":2},{"info":"compute binary expreesion, left_input=4518, right_input=3377, op_id = rysDP5nf3Z binary_op_definition= 'None', output=1141","layer":1},{"info":"compute binary expreesion, left_input=-26751, right_input=1141, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-24","layer":0}],"base":15,"result_base":15,"text":"(⨵≀≌⫶⩼⫲2997)/⫶⩼⫲1513-⫶⩼⫲1002=⫶⩼⫲-19","reverse_text":"⫶⩼⫲-19=(⨵≀≌⫶⩼⫲2997)/⫶⩼⫲1513-⫶⩼⫲1002","cot":[{"info":"⨵≀≌⫶⩼⫲2997=⫶⩼⫲-7DD6","layer":1},{"info":"⫶⩼⫲1513-⫶⩼⫲1002=⫶⩼⫲511","layer":1},{"info":"⫶⩼⫲-7DD6/⫶⩼⫲511=⫶⩼⫲-19","layer":0}]}
{"id":858,"expression_no_base_symbol":"$1145$⋳⪒$2453$⊉≛↸($9048$⊉≛↸$5208$)","expression":"⫶⩼⫲515⋳⪒⫶⩼⫲AD8⊉≛↸(⫶⩼⫲2A33⊉≛↸⫶⩼⫲1823)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":13,"operation_count":3,"complexity_ratio":4.333333333333333,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1145,"base":15},"right_expr":{"type":"numeric_atoms","value":2453,"base":15}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":9048,"base":15},"right_expr":{"type":"numeric_atoms","value":5208,"base":15}}},"used_operators":["DZ8iAZOCBD","12rbrZMWeM"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⫶⩼⫲-5566","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1145","layer":2},{"info":"number node, value=2453","layer":2},{"info":"compute binary expreesion, left_input=1145, right_input=2453, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-450","layer":1},{"info":"number node, value=9048","layer":2},{"info":"number node, value=5208","layer":2},{"info":"compute binary expreesion, left_input=9048, right_input=5208, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=18096","layer":1},{"info":"compute binary expreesion, left_input=-450, right_input=18096, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=-18096","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲515⋳⪒⫶⩼⫲AD8⊉≛↸(⫶⩼⫲2A33⊉≛↸⫶⩼⫲1823)=⫶⩼⫲-5566","reverse_text":"⫶⩼⫲-5566=⫶⩼⫲515⋳⪒⫶⩼⫲AD8⊉≛↸(⫶⩼⫲2A33⊉≛↸⫶⩼⫲1823)","cot":[{"info":"⫶⩼⫲515⋳⪒⫶⩼⫲AD8=⫶⩼⫲-200","layer":1},{"info":"⫶⩼⫲2A33⊉≛↸⫶⩼⫲1823=⫶⩼⫲5566","layer":1},{"info":"⫶⩼⫲-200⊉≛↸⫶⩼⫲5566=⫶⩼⫲-5566","layer":0}]}
{"id":859,"expression_no_base_symbol":"($1421$⨸⪁$1853$)⨳⩥⨓($2796$%$2457$)","expression":"(⫶⩼⫲64B⨸⪁⫶⩼⫲838)⨳⩥⨓(⫶⩼⫲C66%⫶⩼⫲ADC)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7,"operation_count":3,"complexity_ratio":2.3333333333333335,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1421,"base":15},"right_expr":{"type":"numeric_atoms","value":1853,"base":15}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2796,"base":15},"right_expr":{"type":"numeric_atoms","value":2457,"base":15}}},"used_operators":["nCS4ZIUYfx","g55IO6H4Gj","k8jYdgA6NY"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z"],"result":"⫶⩼⫲-1C8E","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1421","layer":2},{"info":"number node, value=1853","layer":2},{"info":"compute binary expreesion, left_input=1421, right_input=1853, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=6548","layer":1},{"info":"number node, value=2796","layer":2},{"info":"number node, value=2457","layer":2},{"info":"compute binary expreesion, left_input=2796, right_input=2457, op_id = k8jYdgA6NY binary_op_definition= 'None', output=339","layer":1},{"info":"compute binary expreesion, left_input=6548, right_input=339, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-6209","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲64B⨸⪁⫶⩼⫲838)⨳⩥⨓(⫶⩼⫲C66%⫶⩼⫲ADC)=⫶⩼⫲-1C8E","reverse_text":"⫶⩼⫲-1C8E=(⫶⩼⫲64B⨸⪁⫶⩼⫲838)⨳⩥⨓(⫶⩼⫲C66%⫶⩼⫲ADC)","cot":[{"info":"⫶⩼⫲64B⨸⪁⫶⩼⫲838=⫶⩼⫲1E18","layer":1},{"info":"⫶⩼⫲C66%⫶⩼⫲ADC=⫶⩼⫲179","layer":1},{"info":"⫶⩼⫲1E18⨳⩥⨓⫶⩼⫲179=⫶⩼⫲-1C8E","layer":0}]}
{"id":860,"expression_no_base_symbol":"($2105$/$2686$)⊉≛↸($5489$⪨≂$1010$)","expression":"(⫶⩼⫲955/⫶⩼⫲BE1)⊉≛↸(⫶⩼⫲195E⪨≂⫶⩼⫲475)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":8,"operation_count":3,"complexity_ratio":2.6666666666666665,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2105,"base":15},"right_expr":{"type":"numeric_atoms","value":2686,"base":15}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":5489,"base":15},"right_expr":{"type":"numeric_atoms","value":1010,"base":15}}},"used_operators":["DZ8iAZOCBD","XhwjNDsVaA","sdazOOVcIp"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"⫶⩼⫲0","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=2105","layer":2},{"info":"number node, value=2686","layer":2},{"info":"compute binary expreesion, left_input=2105, right_input=2686, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":1},{"info":"number node, value=5489","layer":2},{"info":"number node, value=1010","layer":2},{"info":"compute binary expreesion, left_input=5489, right_input=1010, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=9060","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=9060, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=0","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲955/⫶⩼⫲BE1)⊉≛↸(⫶⩼⫲195E⪨≂⫶⩼⫲475)=⫶⩼⫲0","reverse_text":"⫶⩼⫲0=(⫶⩼⫲955/⫶⩼⫲BE1)⊉≛↸(⫶⩼⫲195E⪨≂⫶⩼⫲475)","cot":[{"info":"⫶⩼⫲955/⫶⩼⫲BE1=⫶⩼⫲0","layer":1},{"info":"⫶⩼⫲195E⪨≂⫶⩼⫲475=⫶⩼⫲2A40","layer":1},{"info":"⫶⩼⫲0⊉≛↸⫶⩼⫲2A40=⫶⩼⫲0","layer":0}]}
{"id":861,"expression_no_base_symbol":"($2801$↛⩡⫤)⪮%⊝$8029$⪮%⊝$2146$","expression":"(⫶⩼⫲C6B↛⩡⫤)⪮%⊝⫶⩼⫲25A4⪮%⊝⫶⩼⫲981","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":8555,"operation_count":3,"complexity_ratio":2851.6666666666665,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":2801,"base":15}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":8029,"base":15},"right_expr":{"type":"numeric_atoms","value":2146,"base":15}}},"used_operators":["IWmyXbctLI","FU0Cs4j7VP"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X"],"result":"⫶⩼⫲-11835E","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2801","layer":2},{"info":"compute unary expreesion, input=2801, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-419040","layer":1},{"info":"number node, value=8029","layer":2},{"info":"number node, value=2146","layer":2},{"info":"compute binary expreesion, left_input=8029, right_input=2146, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=16374","layer":1},{"info":"compute binary expreesion, left_input=-419040, right_input=16374, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-837764","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲C6B↛⩡⫤)⪮%⊝⫶⩼⫲25A4⪮%⊝⫶⩼⫲981=⫶⩼⫲-11835E","reverse_text":"⫶⩼⫲-11835E=(⫶⩼⫲C6B↛⩡⫤)⪮%⊝⫶⩼⫲25A4⪮%⊝⫶⩼⫲981","cot":[{"info":"⫶⩼⫲C6B↛⩡⫤=⫶⩼⫲-84260","layer":1},{"info":"⫶⩼⫲25A4⪮%⊝⫶⩼⫲981=⫶⩼⫲4CB9","layer":1},{"info":"⫶⩼⫲-84260⪮%⊝⫶⩼⫲4CB9=⫶⩼⫲-11835E","layer":0}]}
{"id":862,"expression_no_base_symbol":"∂(⨈⫕$1322$)","expression":"∂(⨈⫕⫶⩼⫲5D2)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":803,"operation_count":2,"complexity_ratio":401.5,"tree":{"type":"unary","operator":"∂","unary_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":1322,"base":15}}},"used_operators":["Uaa54Peajs","megm06wKyl"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q"],"result":"⫶⩼⫲-113","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1322","layer":2},{"info":"compute unary expreesion, input=1322, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":1},{"info":"compute unary expreesion, input=-21, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=-243","layer":0}],"base":15,"result_base":15,"text":"∂(⨈⫕⫶⩼⫲5D2)=⫶⩼⫲-113","reverse_text":"⫶⩼⫲-113=∂(⨈⫕⫶⩼⫲5D2)","cot":[{"info":"⨈⫕⫶⩼⫲5D2=⫶⩼⫲-16","layer":1},{"info":"∂⫶⩼⫲-16=⫶⩼⫲-113","layer":0}]}
{"id":863,"expression_no_base_symbol":"(⊙↵-$1588$)⇷(⨰⫟⨤$2113$)","expression":"(⊙↵-⫶⩼⫲70D)⇷(⨰⫟⨤⫶⩼⫲95D)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":9266,"operation_count":3,"complexity_ratio":3088.6666666666665,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1588,"base":15}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":2113,"base":15}}},"used_operators":["mp7IySMOzn","oWn0xqSxBt","Tw270M8GLb"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1588","layer":2},{"info":"compute unary expreesion, input=1588, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":1},{"info":"number node, value=2113","layer":2},{"info":"compute unary expreesion, input=2113, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-1, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"(⊙↵-⫶⩼⫲70D)⇷(⨰⫟⨤⫶⩼⫲95D)=NaN","reverse_text":"NaN=(⊙↵-⫶⩼⫲70D)⇷(⨰⫟⨤⫶⩼⫲95D)","cot":[{"info":"⊙↵-⫶⩼⫲70D=⫶⩼⫲-1","layer":1},{"info":"⨰⫟⨤⫶⩼⫲95D=NaN","layer":1},{"info":"⫶⩼⫲-1⇷NaN=NaN","layer":0}]}
{"id":864,"expression_no_base_symbol":"$3083$⨓$3793$⊦⊿","expression":"⫶⩼⫲DA8⨓⫶⩼⫲11CD⊦⊿","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3805,"operation_count":2,"complexity_ratio":1902.5,"tree":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":3083,"base":15},"right_expr":{"type":"numeric_atoms","value":3793,"base":15}}},"used_operators":["14qkJME0vr","3ViojmjbAp"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"⫶⩼⫲353E","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=3083","layer":2},{"info":"number node, value=3793","layer":2},{"info":"compute binary expreesion, left_input=3083, right_input=3793, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3796","layer":1},{"info":"compute unary expreesion, input=-3796, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=11309","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲DA8⨓⫶⩼⫲11CD⊦⊿=⫶⩼⫲353E","reverse_text":"⫶⩼⫲353E=⫶⩼⫲DA8⨓⫶⩼⫲11CD⊦⊿","cot":[{"info":"⫶⩼⫲DA8⨓⫶⩼⫲11CD=⫶⩼⫲-11D1","layer":1},{"info":"⫶⩼⫲-11D1⊦⊿=⫶⩼⫲353E","layer":0}]}
{"id":865,"expression_no_base_symbol":"$1367$⩷∴$6776$⨸⪁$2665$⨟⋌⩍$1339$","expression":"⫶⩼⫲612⩷∴⫶⩼⫲201B⨸⪁⫶⩼⫲BCA⨟⋌⩍⫶⩼⫲5E4","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":10,"operation_count":3,"complexity_ratio":3.3333333333333335,"tree":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1367,"base":15},"right_expr":{"type":"numeric_atoms","value":6776,"base":15}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2665,"base":15},"right_expr":{"type":"numeric_atoms","value":1339,"base":15}}},"used_operators":["g55IO6H4Gj","9FxExcQeMw","rGHVDoGpnC"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1367","layer":2},{"info":"number node, value=6776","layer":2},{"info":"compute binary expreesion, left_input=1367, right_input=6776, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-10850","layer":1},{"info":"number node, value=2665","layer":2},{"info":"number node, value=1339","layer":2},{"info":"compute binary expreesion, left_input=2665, right_input=1339, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=-10850, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲612⩷∴⫶⩼⫲201B⨸⪁⫶⩼⫲BCA⨟⋌⩍⫶⩼⫲5E4=NaN","reverse_text":"NaN=⫶⩼⫲612⩷∴⫶⩼⫲201B⨸⪁⫶⩼⫲BCA⨟⋌⩍⫶⩼⫲5E4","cot":[{"info":"⫶⩼⫲612⩷∴⫶⩼⫲201B=⫶⩼⫲-3335","layer":1},{"info":"⫶⩼⫲BCA⨟⋌⩍⫶⩼⫲5E4=NaN","layer":1},{"info":"⫶⩼⫲-3335⨸⪁NaN=NaN","layer":0}]}
{"id":866,"expression_no_base_symbol":"$6359$⊉≛↸$3748$∲⫓($4272$≣⋋)","expression":"⫶⩼⫲1D3E⊉≛↸⫶⩼⫲119D∲⫓(⫶⩼⫲13EC≣⋋)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":517,"operation_count":3,"complexity_ratio":172.33333333333334,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":6359,"base":15},"right_expr":{"type":"numeric_atoms","value":3748,"base":15}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":4272,"base":15}}},"used_operators":["i8ToyICDmI","DZ8iAZOCBD","Tcnh7f0tEr"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A"],"result":"⫶⩼⫲3B7D","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=6359","layer":2},{"info":"number node, value=3748","layer":2},{"info":"compute binary expreesion, left_input=6359, right_input=3748, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=12718","layer":1},{"info":"number node, value=4272","layer":2},{"info":"compute unary expreesion, input=4272, 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=12718, right_input=0, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=12718","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲1D3E⊉≛↸⫶⩼⫲119D∲⫓(⫶⩼⫲13EC≣⋋)=⫶⩼⫲3B7D","reverse_text":"⫶⩼⫲3B7D=⫶⩼⫲1D3E⊉≛↸⫶⩼⫲119D∲⫓(⫶⩼⫲13EC≣⋋)","cot":[{"info":"⫶⩼⫲1D3E⊉≛↸⫶⩼⫲119D=⫶⩼⫲3B7D","layer":1},{"info":"⫶⩼⫲13EC≣⋋=⫶⩼⫲0","layer":1},{"info":"⫶⩼⫲3B7D∲⫓⫶⩼⫲0=⫶⩼⫲3B7D","layer":0}]}
{"id":867,"expression_no_base_symbol":"(↔$6943$)⨎($7114$*$1337$)","expression":"(↔⫶⩼⫲20CD)⨎(⫶⩼⫲2194*⫶⩼⫲5E2)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1345,"operation_count":3,"complexity_ratio":448.3333333333333,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":6943,"base":15}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":7114,"base":15},"right_expr":{"type":"numeric_atoms","value":1337,"base":15}}},"used_operators":["rJVOvQCfKK","ruOEQAzv1W","9HNa5Wba9A"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe"],"result":"⫶⩼⫲C7D2E8","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=6943","layer":2},{"info":"compute unary expreesion, input=6943, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-6670","layer":1},{"info":"number node, value=7114","layer":2},{"info":"number node, value=1337","layer":2},{"info":"compute binary expreesion, left_input=7114, right_input=1337, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=9511418","layer":1},{"info":"compute binary expreesion, left_input=-6670, right_input=9511418, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=9511418","layer":0}],"base":15,"result_base":15,"text":"(↔⫶⩼⫲20CD)⨎(⫶⩼⫲2194*⫶⩼⫲5E2)=⫶⩼⫲C7D2E8","reverse_text":"⫶⩼⫲C7D2E8=(↔⫶⩼⫲20CD)⨎(⫶⩼⫲2194*⫶⩼⫲5E2)","cot":[{"info":"↔⫶⩼⫲20CD=⫶⩼⫲-1E9A","layer":1},{"info":"⫶⩼⫲2194*⫶⩼⫲5E2=⫶⩼⫲C7D2E8","layer":1},{"info":"⫶⩼⫲-1E9A⨎⫶⩼⫲C7D2E8=⫶⩼⫲C7D2E8","layer":0}]}
{"id":868,"expression_no_base_symbol":"⨵≀≌($7286$-$6777$)","expression":"⨵≀≌(⫶⩼⫲225B-⫶⩼⫲201C)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4,"operation_count":2,"complexity_ratio":2.0,"tree":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":7286,"base":15},"right_expr":{"type":"numeric_atoms","value":6777,"base":15}}},"used_operators":["srAu1WTS94","rysDP5nf3Z"],"dependent_operators":["glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A"],"result":"⫶⩼⫲-6BC","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=7286","layer":2},{"info":"number node, value=6777","layer":2},{"info":"compute binary expreesion, left_input=7286, right_input=6777, op_id = rysDP5nf3Z binary_op_definition= 'None', output=509","layer":1},{"info":"compute unary expreesion, input=509, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-1527","layer":0}],"base":15,"result_base":15,"text":"⨵≀≌(⫶⩼⫲225B-⫶⩼⫲201C)=⫶⩼⫲-6BC","reverse_text":"⫶⩼⫲-6BC=⨵≀≌(⫶⩼⫲225B-⫶⩼⫲201C)","cot":[{"info":"⫶⩼⫲225B-⫶⩼⫲201C=⫶⩼⫲23E","layer":1},{"info":"⨵≀≌⫶⩼⫲23E=⫶⩼⫲-6BC","layer":0}]}
{"id":869,"expression_no_base_symbol":"⊥($5145$⨰$3953$)","expression":"⊥(⫶⩼⫲17D0⨰⫶⩼⫲1288)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":7,"operation_count":2,"complexity_ratio":3.5,"tree":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":5145,"base":15},"right_expr":{"type":"numeric_atoms","value":3953,"base":15}}},"used_operators":["Q3PJZHRvZv","eewbuw0ToL"],"dependent_operators":["fu6greOZ01","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=5145","layer":2},{"info":"number node, value=3953","layer":2},{"info":"compute binary expreesion, left_input=5145, right_input=3953, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1202","layer":1},{"info":"compute unary expreesion, input=1202, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"⊥(⫶⩼⫲17D0⨰⫶⩼⫲1288)=NaN","reverse_text":"NaN=⊥(⫶⩼⫲17D0⨰⫶⩼⫲1288)","cot":[{"info":"⫶⩼⫲17D0⨰⫶⩼⫲1288=⫶⩼⫲552","layer":1},{"info":"⊥⫶⩼⫲552=NaN","layer":0}]}
{"id":870,"expression_no_base_symbol":"($2106$↺$1308$)⩷∴($1165$⩤)","expression":"(⫶⩼⫲956↺⫶⩼⫲5C3)⩷∴(⫶⩼⫲52A⩤)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":9,"operation_count":3,"complexity_ratio":3.0,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2106,"base":15},"right_expr":{"type":"numeric_atoms","value":1308,"base":15}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":1165,"base":15}}},"used_operators":["9FxExcQeMw","7j4O788W3g","Z2TMIBDE3Q"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⫶⩼⫲16C9","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2106","layer":2},{"info":"number node, value=1308","layer":2},{"info":"compute binary expreesion, left_input=2106, right_input=1308, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1308","layer":1},{"info":"number node, value=1165","layer":2},{"info":"compute unary expreesion, input=1165, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-1165","layer":1},{"info":"compute binary expreesion, left_input=1308, right_input=-1165, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=4914","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲956↺⫶⩼⫲5C3)⩷∴(⫶⩼⫲52A⩤)=⫶⩼⫲16C9","reverse_text":"⫶⩼⫲16C9=(⫶⩼⫲956↺⫶⩼⫲5C3)⩷∴(⫶⩼⫲52A⩤)","cot":[{"info":"⫶⩼⫲956↺⫶⩼⫲5C3=⫶⩼⫲5C3","layer":1},{"info":"⫶⩼⫲52A⩤=⫶⩼⫲-52A","layer":1},{"info":"⫶⩼⫲5C3⩷∴⫶⩼⫲-52A=⫶⩼⫲16C9","layer":0}]}
{"id":871,"expression_no_base_symbol":"($6403$⋫)⪮%⊝($2577$⨸⪁$1557$)","expression":"(⫶⩼⫲1D6D⋫)⪮%⊝(⫶⩼⫲B6C⨸⪁⫶⩼⫲6DC)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6415,"operation_count":3,"complexity_ratio":2138.3333333333335,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":6403,"base":15}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2577,"base":15},"right_expr":{"type":"numeric_atoms","value":1557,"base":15}}},"used_operators":["IWmyXbctLI","JL8yIekQnl","g55IO6H4Gj"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","tmPS8pqC7x","W4YGzv6Whe"],"result":"⫶⩼⫲3D4C","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=6403","layer":2},{"info":"compute unary expreesion, input=6403, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=6403","layer":1},{"info":"number node, value=2577","layer":2},{"info":"number node, value=1557","layer":2},{"info":"compute binary expreesion, left_input=2577, right_input=1557, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=8268","layer":1},{"info":"compute binary expreesion, left_input=6403, right_input=8268, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=13122","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲1D6D⋫)⪮%⊝(⫶⩼⫲B6C⨸⪁⫶⩼⫲6DC)=⫶⩼⫲3D4C","reverse_text":"⫶⩼⫲3D4C=(⫶⩼⫲1D6D⋫)⪮%⊝(⫶⩼⫲B6C⨸⪁⫶⩼⫲6DC)","cot":[{"info":"⫶⩼⫲1D6D⋫=⫶⩼⫲1D6D","layer":1},{"info":"⫶⩼⫲B6C⨸⪁⫶⩼⫲6DC=⫶⩼⫲26B3","layer":1},{"info":"⫶⩼⫲1D6D⪮%⊝⫶⩼⫲26B3=⫶⩼⫲3D4C","layer":0}]}
{"id":872,"expression_no_base_symbol":"↩$1002$⨳⩥⨓$5795$","expression":"↩⫶⩼⫲46C⨳⩥⨓⫶⩼⫲1AB5","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":19,"operation_count":2,"complexity_ratio":9.5,"tree":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1002,"base":15},"right_expr":{"type":"numeric_atoms","value":5795,"base":15}}},"used_operators":["jLgFTUHLKL","nCS4ZIUYfx"],"dependent_operators":["sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe","rysDP5nf3Z"],"result":"⫶⩼⫲-A80E","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1002","layer":2},{"info":"number node, value=5795","layer":2},{"info":"compute binary expreesion, left_input=1002, right_input=5795, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=4793","layer":1},{"info":"compute unary expreesion, input=4793, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-35564","layer":0}],"base":15,"result_base":15,"text":"↩⫶⩼⫲46C⨳⩥⨓⫶⩼⫲1AB5=⫶⩼⫲-A80E","reverse_text":"⫶⩼⫲-A80E=↩⫶⩼⫲46C⨳⩥⨓⫶⩼⫲1AB5","cot":[{"info":"⫶⩼⫲46C⨳⩥⨓⫶⩼⫲1AB5=⫶⩼⫲1648","layer":1},{"info":"↩⫶⩼⫲1648=⫶⩼⫲-A80E","layer":0}]}
{"id":873,"expression_no_base_symbol":"($1095$∸)⪢($1502$∲⫓$1357$)","expression":"(⫶⩼⫲4D0∸)⪢(⫶⩼⫲6A2∲⫓⫶⩼⫲607)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":180,"operation_count":3,"complexity_ratio":60.0,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":1095,"base":15}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1502,"base":15},"right_expr":{"type":"numeric_atoms","value":1357,"base":15}}},"used_operators":["dWAJyo7jo9","o20kRiQErp","i8ToyICDmI"],"dependent_operators":["k8jYdgA6NY","tmPS8pqC7x","W4YGzv6Whe","t8gj7n24qd"],"result":"⫶⩼⫲0","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1095","layer":2},{"info":"compute unary expreesion, input=1095, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":1},{"info":"number node, value=1502","layer":2},{"info":"number node, value=1357","layer":2},{"info":"compute binary expreesion, left_input=1502, right_input=1357, 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=177, right_input=0, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=0","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲4D0∸)⪢(⫶⩼⫲6A2∲⫓⫶⩼⫲607)=⫶⩼⫲0","reverse_text":"⫶⩼⫲0=(⫶⩼⫲4D0∸)⪢(⫶⩼⫲6A2∲⫓⫶⩼⫲607)","cot":[{"info":"⫶⩼⫲4D0∸=⫶⩼⫲BC","layer":1},{"info":"⫶⩼⫲6A2∲⫓⫶⩼⫲607=⫶⩼⫲0","layer":1},{"info":"⫶⩼⫲BC⪢⫶⩼⫲0=⫶⩼⫲0","layer":0}]}
{"id":874,"expression_no_base_symbol":"($1568$∲⫓$2687$)⊴($3527$∲⫓$6881$)","expression":"(⫶⩼⫲6E8∲⫓⫶⩼⫲BE2)⊴(⫶⩼⫲10A2∲⫓⫶⩼⫲208B)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":11,"operation_count":3,"complexity_ratio":3.6666666666666665,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1568,"base":15},"right_expr":{"type":"numeric_atoms","value":2687,"base":15}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":3527,"base":15},"right_expr":{"type":"numeric_atoms","value":6881,"base":15}}},"used_operators":["Nsiff2A1zJ","i8ToyICDmI"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd"],"result":"⫶⩼⫲-54","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1568","layer":2},{"info":"number node, value=2687","layer":2},{"info":"compute binary expreesion, left_input=1568, right_input=2687, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":1},{"info":"number node, value=3527","layer":2},{"info":"number node, value=6881","layer":2},{"info":"compute binary expreesion, left_input=3527, right_input=6881, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=-79","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲6E8∲⫓⫶⩼⫲BE2)⊴(⫶⩼⫲10A2∲⫓⫶⩼⫲208B)=⫶⩼⫲-54","reverse_text":"⫶⩼⫲-54=(⫶⩼⫲6E8∲⫓⫶⩼⫲BE2)⊴(⫶⩼⫲10A2∲⫓⫶⩼⫲208B)","cot":[{"info":"⫶⩼⫲6E8∲⫓⫶⩼⫲BE2=⫶⩼⫲0","layer":1},{"info":"⫶⩼⫲10A2∲⫓⫶⩼⫲208B=⫶⩼⫲0","layer":1},{"info":"⫶⩼⫲0⊴⫶⩼⫲0=⫶⩼⫲-54","layer":0}]}
{"id":875,"expression_no_base_symbol":"$1718$⪮%⊝$4123$⩤","expression":"⫶⩼⫲798⪮%⊝⫶⩼⫲134D⩤","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":10,"operation_count":2,"complexity_ratio":5.0,"tree":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1718,"base":15},"right_expr":{"type":"numeric_atoms","value":4123,"base":15}}},"used_operators":["Z2TMIBDE3Q","IWmyXbctLI"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"⫶⩼⫲-11A2","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1718","layer":2},{"info":"number node, value=4123","layer":2},{"info":"compute binary expreesion, left_input=1718, right_input=4123, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3752","layer":1},{"info":"compute unary expreesion, input=3752, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-3752","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲798⪮%⊝⫶⩼⫲134D⩤=⫶⩼⫲-11A2","reverse_text":"⫶⩼⫲-11A2=⫶⩼⫲798⪮%⊝⫶⩼⫲134D⩤","cot":[{"info":"⫶⩼⫲798⪮%⊝⫶⩼⫲134D=⫶⩼⫲11A2","layer":1},{"info":"⫶⩼⫲11A2⩤=⫶⩼⫲-11A2","layer":0}]}
{"id":876,"expression_no_base_symbol":"(≦∁$1222$)⇷($2431$⫌⩹⨱)","expression":"(≦∁⫶⩼⫲567)⇷(⫶⩼⫲AC1⫌⩹⨱)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":17122,"operation_count":3,"complexity_ratio":5707.333333333333,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":1222,"base":15}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":2431,"base":15}}},"used_operators":["mp7IySMOzn","9ICcGScMcE","EBcxylXtPf"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z"],"result":"⫶⩼⫲3AA1","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1222","layer":2},{"info":"compute unary expreesion, input=1222, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1222","layer":1},{"info":"number node, value=2431","layer":2},{"info":"compute unary expreesion, input=2431, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=6263","layer":1},{"info":"compute binary expreesion, left_input=1222, right_input=6263, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=12526","layer":0}],"base":15,"result_base":15,"text":"(≦∁⫶⩼⫲567)⇷(⫶⩼⫲AC1⫌⩹⨱)=⫶⩼⫲3AA1","reverse_text":"⫶⩼⫲3AA1=(≦∁⫶⩼⫲567)⇷(⫶⩼⫲AC1⫌⩹⨱)","cot":[{"info":"≦∁⫶⩼⫲567=⫶⩼⫲567","layer":1},{"info":"⫶⩼⫲AC1⫌⩹⨱=⫶⩼⫲1CC8","layer":1},{"info":"⫶⩼⫲567⇷⫶⩼⫲1CC8=⫶⩼⫲3AA1","layer":0}]}
{"id":877,"expression_no_base_symbol":"∥⊫($3452$⇼⇔∾$2383$)","expression":"∥⊫(⫶⩼⫲1052⇼⇔∾⫶⩼⫲A8D)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5,"operation_count":2,"complexity_ratio":2.5,"tree":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":3452,"base":15},"right_expr":{"type":"numeric_atoms","value":2383,"base":15}}},"used_operators":["P8v4zCKN1o","tifHPKVTfV"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⫶⩼⫲-3A","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=3452","layer":2},{"info":"number node, value=2383","layer":2},{"info":"compute binary expreesion, left_input=3452, right_input=2383, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-1069","layer":1},{"info":"compute unary expreesion, input=-1069, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=-55","layer":0}],"base":15,"result_base":15,"text":"∥⊫(⫶⩼⫲1052⇼⇔∾⫶⩼⫲A8D)=⫶⩼⫲-3A","reverse_text":"⫶⩼⫲-3A=∥⊫(⫶⩼⫲1052⇼⇔∾⫶⩼⫲A8D)","cot":[{"info":"⫶⩼⫲1052⇼⇔∾⫶⩼⫲A8D=⫶⩼⫲-4B4","layer":1},{"info":"∥⊫⫶⩼⫲-4B4=⫶⩼⫲-3A","layer":0}]}
{"id":878,"expression_no_base_symbol":"(⇁⨣⪵$2100$)⪒($7862$↛⩡⫤)","expression":"(⇁⨣⪵⫶⩼⫲950)⪒(⫶⩼⫲24E2↛⩡⫤)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":23724,"operation_count":3,"complexity_ratio":7908.0,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":2100,"base":15}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":7862,"base":15}}},"used_operators":["f6k1SAg4EE","inkyxCbjAn","FU0Cs4j7VP"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2100","layer":2},{"info":"compute unary expreesion, input=2100, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":1},{"info":"number node, value=7862","layer":2},{"info":"compute unary expreesion, input=7862, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-1183251","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-1183251, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"(⇁⨣⪵⫶⩼⫲950)⪒(⫶⩼⫲24E2↛⩡⫤)=NaN","reverse_text":"NaN=(⇁⨣⪵⫶⩼⫲950)⪒(⫶⩼⫲24E2↛⩡⫤)","cot":[{"info":"⇁⨣⪵⫶⩼⫲950=NaN","layer":1},{"info":"⫶⩼⫲24E2↛⩡⫤=⫶⩼⫲-1858D6","layer":1},{"info":"NaN⪒⫶⩼⫲-1858D6=NaN","layer":0}]}
{"id":879,"expression_no_base_symbol":"($1987$⨐⩸⫘$8490$)⨐⩸⫘(⇁⨣⪵$2256$)","expression":"(⫶⩼⫲8C7⨐⩸⫘⫶⩼⫲27B0)⨐⩸⫘(⇁⨣⪵⫶⩼⫲A06)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3,"operation_count":3,"complexity_ratio":1.0,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1987,"base":15},"right_expr":{"type":"numeric_atoms","value":8490,"base":15}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":2256,"base":15}}},"used_operators":["fu6greOZ01","inkyxCbjAn"],"dependent_operators":["3ViojmjbAp","B5M0gjZbta"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1987","layer":2},{"info":"number node, value=8490","layer":2},{"info":"compute binary expreesion, left_input=1987, right_input=8490, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=2256","layer":2},{"info":"compute unary expreesion, input=2256, 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 = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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":15,"result_base":15,"text":"(⫶⩼⫲8C7⨐⩸⫘⫶⩼⫲27B0)⨐⩸⫘(⇁⨣⪵⫶⩼⫲A06)=NaN","reverse_text":"NaN=(⫶⩼⫲8C7⨐⩸⫘⫶⩼⫲27B0)⨐⩸⫘(⇁⨣⪵⫶⩼⫲A06)","cot":[{"info":"⫶⩼⫲8C7⨐⩸⫘⫶⩼⫲27B0=NaN","layer":1},{"info":"⇁⨣⪵⫶⩼⫲A06=NaN","layer":1},{"info":"NaN⨐⩸⫘NaN=NaN","layer":0}]}
{"id":880,"expression_no_base_symbol":"(↥$3174$)⫸⊐$1062$⨐⩸⫘$1077$","expression":"(↥⫶⩼⫲E19)⫸⊐⫶⩼⫲4AC⨐⩸⫘⫶⩼⫲4BC","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":67,"operation_count":3,"complexity_ratio":22.333333333333332,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":3174,"base":15}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1062,"base":15},"right_expr":{"type":"numeric_atoms","value":1077,"base":15}}},"used_operators":["mqXw5SEYmG","A8NUZmVepG","fu6greOZ01"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","k8jYdgA6NY","3ViojmjbAp"],"result":"⫶⩼⫲19","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=3174","layer":2},{"info":"compute unary expreesion, input=3174, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=12","layer":1},{"info":"number node, value=1062","layer":2},{"info":"number node, value=1077","layer":2},{"info":"compute binary expreesion, left_input=1062, right_input=1077, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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=12, 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=24","layer":0}],"base":15,"result_base":15,"text":"(↥⫶⩼⫲E19)⫸⊐⫶⩼⫲4AC⨐⩸⫘⫶⩼⫲4BC=⫶⩼⫲19","reverse_text":"⫶⩼⫲19=(↥⫶⩼⫲E19)⫸⊐⫶⩼⫲4AC⨐⩸⫘⫶⩼⫲4BC","cot":[{"info":"↥⫶⩼⫲E19=⫶⩼⫲C","layer":1},{"info":"⫶⩼⫲4AC⨐⩸⫘⫶⩼⫲4BC=NaN","layer":1},{"info":"⫶⩼⫲C⫸⊐NaN=⫶⩼⫲19","layer":0}]}
{"id":881,"expression_no_base_symbol":"⨈⫕$3078$⋳⪒$1925$","expression":"⨈⫕⫶⩼⫲DA3⋳⪒⫶⩼⫲885","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":393,"operation_count":2,"complexity_ratio":196.5,"tree":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":3078,"base":15},"right_expr":{"type":"numeric_atoms","value":1925,"base":15}}},"used_operators":["megm06wKyl","12rbrZMWeM"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","t8gj7n24qd"],"result":"⫶⩼⫲-16","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=3078","layer":2},{"info":"number node, value=1925","layer":2},{"info":"compute binary expreesion, left_input=3078, right_input=1925, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=3944","layer":1},{"info":"compute unary expreesion, input=3944, 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":15,"result_base":15,"text":"⨈⫕⫶⩼⫲DA3⋳⪒⫶⩼⫲885=⫶⩼⫲-16","reverse_text":"⫶⩼⫲-16=⨈⫕⫶⩼⫲DA3⋳⪒⫶⩼⫲885","cot":[{"info":"⫶⩼⫲DA3⋳⪒⫶⩼⫲885=⫶⩼⫲127E","layer":1},{"info":"⨈⫕⫶⩼⫲127E=⫶⩼⫲-16","layer":0}]}
{"id":882,"expression_no_base_symbol":"($1069$/$2698$)⇼⇔∾$6176$⋥≓≎$3662$","expression":"(⫶⩼⫲4B4/⫶⩼⫲BED)⇼⇔∾⫶⩼⫲1C6B⋥≓≎⫶⩼⫲1142","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7,"operation_count":3,"complexity_ratio":2.3333333333333335,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1069,"base":15},"right_expr":{"type":"numeric_atoms","value":2698,"base":15}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":6176,"base":15},"right_expr":{"type":"numeric_atoms","value":3662,"base":15}}},"used_operators":["tifHPKVTfV","XhwjNDsVaA","Qy55tPpLXF"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⫶⩼⫲53B","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1069","layer":2},{"info":"number node, value=2698","layer":2},{"info":"compute binary expreesion, left_input=1069, right_input=2698, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":1},{"info":"number node, value=6176","layer":2},{"info":"number node, value=3662","layer":2},{"info":"compute binary expreesion, left_input=6176, right_input=3662, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=1181","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=1181, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1181","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲4B4/⫶⩼⫲BED)⇼⇔∾⫶⩼⫲1C6B⋥≓≎⫶⩼⫲1142=⫶⩼⫲53B","reverse_text":"⫶⩼⫲53B=(⫶⩼⫲4B4/⫶⩼⫲BED)⇼⇔∾⫶⩼⫲1C6B⋥≓≎⫶⩼⫲1142","cot":[{"info":"⫶⩼⫲4B4/⫶⩼⫲BED=⫶⩼⫲0","layer":1},{"info":"⫶⩼⫲1C6B⋥≓≎⫶⩼⫲1142=⫶⩼⫲53B","layer":1},{"info":"⫶⩼⫲0⇼⇔∾⫶⩼⫲53B=⫶⩼⫲53B","layer":0}]}
{"id":883,"expression_no_base_symbol":"$1828$⋳⪒$3665$⫥∨⫟($2280$⫥∨⫟$3125$)","expression":"⫶⩼⫲81D⋳⪒⫶⩼⫲1145⫥∨⫟(⫶⩼⫲A20⫥∨⫟⫶⩼⫲DD5)","highest_n_order":4,"priority_hierarchical_complexity":1,"normalized_expansion_degree":315,"operation_count":3,"complexity_ratio":105.0,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1828,"base":15},"right_expr":{"type":"numeric_atoms","value":3665,"base":15}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2280,"base":15},"right_expr":{"type":"numeric_atoms","value":3125,"base":15}}},"used_operators":["KYD54nUTWz","12rbrZMWeM"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1828","layer":2},{"info":"number node, value=3665","layer":2},{"info":"compute binary expreesion, left_input=1828, right_input=3665, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-296","layer":1},{"info":"number node, value=2280","layer":2},{"info":"number node, value=3125","layer":2},{"info":"compute binary expreesion, left_input=2280, right_input=3125, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-296, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲81D⋳⪒⫶⩼⫲1145⫥∨⫟(⫶⩼⫲A20⫥∨⫟⫶⩼⫲DD5)=NaN","reverse_text":"NaN=⫶⩼⫲81D⋳⪒⫶⩼⫲1145⫥∨⫟(⫶⩼⫲A20⫥∨⫟⫶⩼⫲DD5)","cot":[{"info":"⫶⩼⫲81D⋳⪒⫶⩼⫲1145=⫶⩼⫲-14B","layer":1},{"info":"⫶⩼⫲A20⫥∨⫟⫶⩼⫲DD5=NaN","layer":1},{"info":"⫶⩼⫲-14B⫥∨⫟NaN=NaN","layer":0}]}
{"id":884,"expression_no_base_symbol":"($5773$⊉≛↸$4559$)⩷∴($3366$⪒$1390$)","expression":"(⫶⩼⫲1A9D⊉≛↸⫶⩼⫲153E)⩷∴(⫶⩼⫲EE6⪒⫶⩼⫲62A)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":11,"operation_count":3,"complexity_ratio":3.6666666666666665,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":5773,"base":15},"right_expr":{"type":"numeric_atoms","value":4559,"base":15}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":3366,"base":15},"right_expr":{"type":"numeric_atoms","value":1390,"base":15}}},"used_operators":["9FxExcQeMw","DZ8iAZOCBD","f6k1SAg4EE"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⫶⩼⫲99B7","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=5773","layer":2},{"info":"number node, value=4559","layer":2},{"info":"compute binary expreesion, left_input=5773, right_input=4559, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=11546","layer":1},{"info":"number node, value=3366","layer":2},{"info":"number node, value=1390","layer":2},{"info":"compute binary expreesion, left_input=3366, right_input=1390, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4756","layer":1},{"info":"compute binary expreesion, left_input=11546, right_input=-4756, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=32572","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲1A9D⊉≛↸⫶⩼⫲153E)⩷∴(⫶⩼⫲EE6⪒⫶⩼⫲62A)=⫶⩼⫲99B7","reverse_text":"⫶⩼⫲99B7=(⫶⩼⫲1A9D⊉≛↸⫶⩼⫲153E)⩷∴(⫶⩼⫲EE6⪒⫶⩼⫲62A)","cot":[{"info":"⫶⩼⫲1A9D⊉≛↸⫶⩼⫲153E=⫶⩼⫲364B","layer":1},{"info":"⫶⩼⫲EE6⪒⫶⩼⫲62A=⫶⩼⫲-1621","layer":1},{"info":"⫶⩼⫲364B⩷∴⫶⩼⫲-1621=⫶⩼⫲99B7","layer":0}]}
{"id":885,"expression_no_base_symbol":"$5628$⊴$1944$⪮%⊝($1508$⪨≂$3263$)","expression":"⫶⩼⫲1A03⊴⫶⩼⫲899⪮%⊝(⫶⩼⫲6A8⪨≂⫶⩼⫲E78)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2559,"operation_count":3,"complexity_ratio":853.0,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":5628,"base":15},"right_expr":{"type":"numeric_atoms","value":1944,"base":15}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1508,"base":15},"right_expr":{"type":"numeric_atoms","value":3263,"base":15}}},"used_operators":["IWmyXbctLI","Nsiff2A1zJ","sdazOOVcIp"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=5628","layer":2},{"info":"number node, value=1944","layer":2},{"info":"compute binary expreesion, left_input=5628, right_input=1944, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=1508","layer":2},{"info":"number node, value=3263","layer":2},{"info":"compute binary expreesion, left_input=1508, right_input=3263, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-3408","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-3408, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲1A03⊴⫶⩼⫲899⪮%⊝(⫶⩼⫲6A8⪨≂⫶⩼⫲E78)=NaN","reverse_text":"NaN=⫶⩼⫲1A03⊴⫶⩼⫲899⪮%⊝(⫶⩼⫲6A8⪨≂⫶⩼⫲E78)","cot":[{"info":"⫶⩼⫲1A03⊴⫶⩼⫲899=NaN","layer":1},{"info":"⫶⩼⫲6A8⪨≂⫶⩼⫲E78=⫶⩼⫲-1023","layer":1},{"info":"NaN⪮%⊝⫶⩼⫲-1023=NaN","layer":0}]}
{"id":886,"expression_no_base_symbol":"($7119$%$1428$)⩨($4295$⨵⪆$1805$)","expression":"(⫶⩼⫲2199%⫶⩼⫲653)⩨(⫶⩼⫲1415⨵⪆⫶⩼⫲805)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":9,"operation_count":3,"complexity_ratio":3.0,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":7119,"base":15},"right_expr":{"type":"numeric_atoms","value":1428,"base":15}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":4295,"base":15},"right_expr":{"type":"numeric_atoms","value":1805,"base":15}}},"used_operators":["2DlMacCsIx","k8jYdgA6NY","2DQ55sFlQl"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"⫶⩼⫲0","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=7119","layer":2},{"info":"number node, value=1428","layer":2},{"info":"compute binary expreesion, left_input=7119, right_input=1428, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1407","layer":1},{"info":"number node, value=4295","layer":2},{"info":"number node, value=1805","layer":2},{"info":"compute binary expreesion, left_input=4295, right_input=1805, 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=1407, right_input=160, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲2199%⫶⩼⫲653)⩨(⫶⩼⫲1415⨵⪆⫶⩼⫲805)=⫶⩼⫲0","reverse_text":"⫶⩼⫲0=(⫶⩼⫲2199%⫶⩼⫲653)⩨(⫶⩼⫲1415⨵⪆⫶⩼⫲805)","cot":[{"info":"⫶⩼⫲2199%⫶⩼⫲653=⫶⩼⫲63C","layer":1},{"info":"⫶⩼⫲1415⨵⪆⫶⩼⫲805=⫶⩼⫲AA","layer":1},{"info":"⫶⩼⫲63C⩨⫶⩼⫲AA=⫶⩼⫲0","layer":0}]}
{"id":887,"expression_no_base_symbol":"$3169$*$3393$∲⫓(⨈⫕$1762$)","expression":"⫶⩼⫲E14*⫶⩼⫲1013∲⫓(⨈⫕⫶⩼⫲7C7)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3556,"operation_count":3,"complexity_ratio":1185.3333333333333,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":3169,"base":15},"right_expr":{"type":"numeric_atoms","value":3393,"base":15}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":1762,"base":15}}},"used_operators":["i8ToyICDmI","9HNa5Wba9A","megm06wKyl"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q"],"result":"⫶⩼⫲E25D7C","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=3169","layer":2},{"info":"number node, value=3393","layer":2},{"info":"compute binary expreesion, left_input=3169, right_input=3393, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=10752417","layer":1},{"info":"number node, value=1762","layer":2},{"info":"compute unary expreesion, input=1762, 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=10752417, right_input=-21, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=10752417","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲E14*⫶⩼⫲1013∲⫓(⨈⫕⫶⩼⫲7C7)=⫶⩼⫲E25D7C","reverse_text":"⫶⩼⫲E25D7C=⫶⩼⫲E14*⫶⩼⫲1013∲⫓(⨈⫕⫶⩼⫲7C7)","cot":[{"info":"⫶⩼⫲E14*⫶⩼⫲1013=⫶⩼⫲E25D7C","layer":1},{"info":"⨈⫕⫶⩼⫲7C7=⫶⩼⫲-16","layer":1},{"info":"⫶⩼⫲E25D7C∲⫓⫶⩼⫲-16=⫶⩼⫲E25D7C","layer":0}]}
{"id":888,"expression_no_base_symbol":"$1131$⨰$2357$+⇶⊼$4922$⨪↰⇹$1323$","expression":"⫶⩼⫲506⨰⫶⩼⫲A72+⇶⊼⫶⩼⫲16D2⨪↰⇹⫶⩼⫲5D3","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4929,"operation_count":3,"complexity_ratio":1643.0,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1131,"base":15},"right_expr":{"type":"numeric_atoms","value":2357,"base":15}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":4922,"base":15},"right_expr":{"type":"numeric_atoms","value":1323,"base":15}}},"used_operators":["TpPTUOHfaN","eewbuw0ToL","tmPS8pqC7x"],"dependent_operators":["AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1131","layer":2},{"info":"number node, value=2357","layer":2},{"info":"compute binary expreesion, left_input=1131, right_input=2357, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-1216","layer":1},{"info":"number node, value=4922","layer":2},{"info":"number node, value=1323","layer":2},{"info":"compute binary expreesion, left_input=4922, right_input=1323, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=4922","layer":1},{"info":"compute binary expreesion, left_input=-1216, right_input=4922, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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":15,"result_base":15,"text":"⫶⩼⫲506⨰⫶⩼⫲A72+⇶⊼⫶⩼⫲16D2⨪↰⇹⫶⩼⫲5D3=NaN","reverse_text":"NaN=⫶⩼⫲506⨰⫶⩼⫲A72+⇶⊼⫶⩼⫲16D2⨪↰⇹⫶⩼⫲5D3","cot":[{"info":"⫶⩼⫲506⨰⫶⩼⫲A72=⫶⩼⫲-561","layer":1},{"info":"⫶⩼⫲16D2⨪↰⇹⫶⩼⫲5D3=⫶⩼⫲16D2","layer":1},{"info":"⫶⩼⫲-561+⇶⊼⫶⩼⫲16D2=NaN","layer":0}]}
{"id":889,"expression_no_base_symbol":"$1264$≧⫂∧$2024$⫩⊇","expression":"⫶⩼⫲594≧⫂∧⫶⩼⫲8EE⫩⊇","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3,"operation_count":2,"complexity_ratio":1.5,"tree":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1264,"base":15},"right_expr":{"type":"numeric_atoms","value":2024,"base":15}}},"used_operators":["BjRHVeLaeN","Ph9nP6C5qx"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⫶⩼⫲-6A9","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1264","layer":2},{"info":"number node, value=2024","layer":2},{"info":"compute binary expreesion, left_input=1264, right_input=2024, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1551","layer":1},{"info":"compute unary expreesion, input=1551, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-1509","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲594≧⫂∧⫶⩼⫲8EE⫩⊇=⫶⩼⫲-6A9","reverse_text":"⫶⩼⫲-6A9=⫶⩼⫲594≧⫂∧⫶⩼⫲8EE⫩⊇","cot":[{"info":"⫶⩼⫲594≧⫂∧⫶⩼⫲8EE=⫶⩼⫲6D6","layer":1},{"info":"⫶⩼⫲6D6⫩⊇=⫶⩼⫲-6A9","layer":0}]}
{"id":890,"expression_no_base_symbol":"($2826$⪒$1051$)⊉≛↸($8025$⨵⪆$1029$)","expression":"(⫶⩼⫲C86⪒⫶⩼⫲4A1)⊉≛↸(⫶⩼⫲25A0⨵⪆⫶⩼⫲489)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":8,"operation_count":3,"complexity_ratio":2.6666666666666665,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2826,"base":15},"right_expr":{"type":"numeric_atoms","value":1051,"base":15}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":8025,"base":15},"right_expr":{"type":"numeric_atoms","value":1029,"base":15}}},"used_operators":["DZ8iAZOCBD","f6k1SAg4EE","2DQ55sFlQl"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⫶⩼⫲-AA","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2826","layer":2},{"info":"number node, value=1051","layer":2},{"info":"compute binary expreesion, left_input=2826, right_input=1051, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-3877","layer":1},{"info":"number node, value=8025","layer":2},{"info":"number node, value=1029","layer":2},{"info":"compute binary expreesion, left_input=8025, right_input=1029, 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=-3877, right_input=160, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=-160","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲C86⪒⫶⩼⫲4A1)⊉≛↸(⫶⩼⫲25A0⨵⪆⫶⩼⫲489)=⫶⩼⫲-AA","reverse_text":"⫶⩼⫲-AA=(⫶⩼⫲C86⪒⫶⩼⫲4A1)⊉≛↸(⫶⩼⫲25A0⨵⪆⫶⩼⫲489)","cot":[{"info":"⫶⩼⫲C86⪒⫶⩼⫲4A1=⫶⩼⫲-1237","layer":1},{"info":"⫶⩼⫲25A0⨵⪆⫶⩼⫲489=⫶⩼⫲AA","layer":1},{"info":"⫶⩼⫲-1237⊉≛↸⫶⩼⫲AA=⫶⩼⫲-AA","layer":0}]}
{"id":891,"expression_no_base_symbol":"$2177$∀⇚≩$1945$⋝⋈⪟($3550$↺$3503$)","expression":"⫶⩼⫲9A2∀⇚≩⫶⩼⫲89A⋝⋈⪟(⫶⩼⫲10BA↺⫶⩼⫲1088)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":15244,"operation_count":3,"complexity_ratio":5081.333333333333,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2177,"base":15},"right_expr":{"type":"numeric_atoms","value":1945,"base":15}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":3550,"base":15},"right_expr":{"type":"numeric_atoms","value":3503,"base":15}}},"used_operators":["2DDjHMKMc0","LRNGc0VcxI","7j4O788W3g"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=2177","layer":2},{"info":"number node, value=1945","layer":2},{"info":"compute binary expreesion, left_input=2177, right_input=1945, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=3550","layer":2},{"info":"number node, value=3503","layer":2},{"info":"compute binary expreesion, left_input=3550, right_input=3503, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3503","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=3503, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲9A2∀⇚≩⫶⩼⫲89A⋝⋈⪟(⫶⩼⫲10BA↺⫶⩼⫲1088)=NaN","reverse_text":"NaN=⫶⩼⫲9A2∀⇚≩⫶⩼⫲89A⋝⋈⪟(⫶⩼⫲10BA↺⫶⩼⫲1088)","cot":[{"info":"⫶⩼⫲9A2∀⇚≩⫶⩼⫲89A=NaN","layer":1},{"info":"⫶⩼⫲10BA↺⫶⩼⫲1088=⫶⩼⫲1088","layer":1},{"info":"NaN⋝⋈⪟⫶⩼⫲1088=NaN","layer":0}]}
{"id":892,"expression_no_base_symbol":"≤/$1159$∑⇟⊟$8530$","expression":"≤/⫶⩼⫲524∑⇟⊟⫶⩼⫲27DA","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2,"operation_count":2,"complexity_ratio":1.0,"tree":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1159,"base":15},"right_expr":{"type":"numeric_atoms","value":8530,"base":15}}},"used_operators":["eLAdDNolq6","U7g4x0WXJJ"],"dependent_operators":["rysDP5nf3Z","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1159","layer":2},{"info":"number node, value=8530","layer":2},{"info":"compute binary expreesion, left_input=1159, right_input=8530, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"≤/⫶⩼⫲524∑⇟⊟⫶⩼⫲27DA=NaN","reverse_text":"NaN=≤/⫶⩼⫲524∑⇟⊟⫶⩼⫲27DA","cot":[{"info":"⫶⩼⫲524∑⇟⊟⫶⩼⫲27DA=NaN","layer":1},{"info":"≤/NaN=NaN","layer":0}]}
{"id":893,"expression_no_base_symbol":"(⫛⫱⨽$7770$)⇼⇔∾(↥$4985$)","expression":"(⫛⫱⨽⫶⩼⫲2480)⇼⇔∾(↥⫶⩼⫲1725)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1521,"operation_count":3,"complexity_ratio":507.0,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":7770,"base":15}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":4985,"base":15}}},"used_operators":["tifHPKVTfV","DlLNRPXxWL","A8NUZmVepG"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","k8jYdgA6NY"],"result":"⫶⩼⫲28","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=7770","layer":2},{"info":"compute unary expreesion, input=7770, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":1},{"info":"number node, value=4985","layer":2},{"info":"compute unary expreesion, input=4985, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=38","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=38, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=38","layer":0}],"base":15,"result_base":15,"text":"(⫛⫱⨽⫶⩼⫲2480)⇼⇔∾(↥⫶⩼⫲1725)=⫶⩼⫲28","reverse_text":"⫶⩼⫲28=(⫛⫱⨽⫶⩼⫲2480)⇼⇔∾(↥⫶⩼⫲1725)","cot":[{"info":"⫛⫱⨽⫶⩼⫲2480=⫶⩼⫲0","layer":1},{"info":"↥⫶⩼⫲1725=⫶⩼⫲28","layer":1},{"info":"⫶⩼⫲0⇼⇔∾⫶⩼⫲28=⫶⩼⫲28","layer":0}]}
{"id":894,"expression_no_base_symbol":"($2027$⩤)⨎$2266$∼$1927$","expression":"(⫶⩼⫲902⩤)⨎⫶⩼⫲A11∼⫶⩼⫲887","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":48,"operation_count":3,"complexity_ratio":16.0,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":2027,"base":15}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2266,"base":15},"right_expr":{"type":"numeric_atoms","value":1927,"base":15}}},"used_operators":["rJVOvQCfKK","Z2TMIBDE3Q","DyGG3AbaNP"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2027","layer":2},{"info":"compute unary expreesion, input=2027, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-2027","layer":1},{"info":"number node, value=2266","layer":2},{"info":"number node, value=1927","layer":2},{"info":"compute binary expreesion, left_input=2266, right_input=1927, 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=-2027, 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":15,"result_base":15,"text":"(⫶⩼⫲902⩤)⨎⫶⩼⫲A11∼⫶⩼⫲887=NaN","reverse_text":"NaN=(⫶⩼⫲902⩤)⨎⫶⩼⫲A11∼⫶⩼⫲887","cot":[{"info":"⫶⩼⫲902⩤=⫶⩼⫲-902","layer":1},{"info":"⫶⩼⫲A11∼⫶⩼⫲887=NaN","layer":1},{"info":"⫶⩼⫲-902⨎NaN=NaN","layer":0}]}
{"id":895,"expression_no_base_symbol":"$1242$⇼⇔∾$2708$⫡⨏$5902$⊉≛↸$4631$","expression":"⫶⩼⫲57C⇼⇔∾⫶⩼⫲C08⫡⨏⫶⩼⫲1B37⊉≛↸⫶⩼⫲158B","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":11,"operation_count":3,"complexity_ratio":3.6666666666666665,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1242,"base":15},"right_expr":{"type":"numeric_atoms","value":2708,"base":15}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":5902,"base":15},"right_expr":{"type":"numeric_atoms","value":4631,"base":15}}},"used_operators":["QMFrweE19q","tifHPKVTfV","DZ8iAZOCBD"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫶⩼⫲95EB","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1242","layer":2},{"info":"number node, value=2708","layer":2},{"info":"compute binary expreesion, left_input=1242, right_input=2708, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1466","layer":1},{"info":"number node, value=5902","layer":2},{"info":"number node, value=4631","layer":2},{"info":"compute binary expreesion, left_input=5902, right_input=4631, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=11804","layer":1},{"info":"compute binary expreesion, left_input=1466, right_input=11804, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=31721","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲57C⇼⇔∾⫶⩼⫲C08⫡⨏⫶⩼⫲1B37⊉≛↸⫶⩼⫲158B=⫶⩼⫲95EB","reverse_text":"⫶⩼⫲95EB=⫶⩼⫲57C⇼⇔∾⫶⩼⫲C08⫡⨏⫶⩼⫲1B37⊉≛↸⫶⩼⫲158B","cot":[{"info":"⫶⩼⫲57C⇼⇔∾⫶⩼⫲C08=⫶⩼⫲67B","layer":1},{"info":"⫶⩼⫲1B37⊉≛↸⫶⩼⫲158B=⫶⩼⫲376E","layer":1},{"info":"⫶⩼⫲67B⫡⨏⫶⩼⫲376E=⫶⩼⫲95EB","layer":0}]}
{"id":896,"expression_no_base_symbol":"(⪝⪂⫅$1321$)⨵⪆$1623$↺$2381$","expression":"(⪝⪂⫅⫶⩼⫲5D1)⨵⪆⫶⩼⫲733↺⫶⩼⫲A8B","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":153,"operation_count":3,"complexity_ratio":51.0,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":1321,"base":15}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1623,"base":15},"right_expr":{"type":"numeric_atoms","value":2381,"base":15}}},"used_operators":["2DQ55sFlQl","XTarYq4gQB","7j4O788W3g"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd"],"result":"⫶⩼⫲AA","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1321","layer":2},{"info":"compute unary expreesion, input=1321, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-194187","layer":1},{"info":"number node, value=1623","layer":2},{"info":"number node, value=2381","layer":2},{"info":"compute binary expreesion, left_input=1623, right_input=2381, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2381","layer":1},{"info":"compute binary expreesion, left_input=-194187, right_input=2381, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":15,"result_base":15,"text":"(⪝⪂⫅⫶⩼⫲5D1)⨵⪆⫶⩼⫲733↺⫶⩼⫲A8B=⫶⩼⫲AA","reverse_text":"⫶⩼⫲AA=(⪝⪂⫅⫶⩼⫲5D1)⨵⪆⫶⩼⫲733↺⫶⩼⫲A8B","cot":[{"info":"⪝⪂⫅⫶⩼⫲5D1=⫶⩼⫲-3C80C","layer":1},{"info":"⫶⩼⫲733↺⫶⩼⫲A8B=⫶⩼⫲A8B","layer":1},{"info":"⫶⩼⫲-3C80C⨵⪆⫶⩼⫲A8B=⫶⩼⫲AA","layer":0}]}
{"id":897,"expression_no_base_symbol":"$2545$⪛$2608$⩨$5967$⫥∨⫟$4762$","expression":"⫶⩼⫲B4A⪛⫶⩼⫲B8D⩨⫶⩼⫲1B7C⫥∨⫟⫶⩼⫲1627","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":162,"operation_count":3,"complexity_ratio":54.0,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2545,"base":15},"right_expr":{"type":"numeric_atoms","value":2608,"base":15}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":5967,"base":15},"right_expr":{"type":"numeric_atoms","value":4762,"base":15}}},"used_operators":["2DlMacCsIx","uFcxV4UQCh","KYD54nUTWz"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=2545","layer":2},{"info":"number node, value=2608","layer":2},{"info":"compute binary expreesion, left_input=2545, right_input=2608, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2545","layer":1},{"info":"number node, value=5967","layer":2},{"info":"number node, value=4762","layer":2},{"info":"compute binary expreesion, left_input=5967, right_input=4762, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=2545, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲B4A⪛⫶⩼⫲B8D⩨⫶⩼⫲1B7C⫥∨⫟⫶⩼⫲1627=NaN","reverse_text":"NaN=⫶⩼⫲B4A⪛⫶⩼⫲B8D⩨⫶⩼⫲1B7C⫥∨⫟⫶⩼⫲1627","cot":[{"info":"⫶⩼⫲B4A⪛⫶⩼⫲B8D=⫶⩼⫲B4A","layer":1},{"info":"⫶⩼⫲1B7C⫥∨⫟⫶⩼⫲1627=NaN","layer":1},{"info":"⫶⩼⫲B4A⩨NaN=NaN","layer":0}]}
{"id":898,"expression_no_base_symbol":"$2739$⨽$4584$↙($3878$⫩⊇)","expression":"⫶⩼⫲C29⨽⫶⩼⫲1559↙(⫶⩼⫲1238⫩⊇)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2751,"operation_count":3,"complexity_ratio":917.0,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2739,"base":15},"right_expr":{"type":"numeric_atoms","value":4584,"base":15}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":3878,"base":15}}},"used_operators":["yyfyN0ffXY","8HhzD0ZcuI","BjRHVeLaeN"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd"],"result":"⫶⩼⫲-1E9C386","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2739","layer":2},{"info":"number node, value=4584","layer":2},{"info":"compute binary expreesion, left_input=2739, right_input=4584, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-22518801","layer":1},{"info":"number node, value=3878","layer":2},{"info":"compute unary expreesion, input=3878, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-3836","layer":1},{"info":"compute binary expreesion, left_input=-22518801, right_input=-3836, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-22518801","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲C29⨽⫶⩼⫲1559↙(⫶⩼⫲1238⫩⊇)=⫶⩼⫲-1E9C386","reverse_text":"⫶⩼⫲-1E9C386=⫶⩼⫲C29⨽⫶⩼⫲1559↙(⫶⩼⫲1238⫩⊇)","cot":[{"info":"⫶⩼⫲C29⨽⫶⩼⫲1559=⫶⩼⫲-1E9C386","layer":1},{"info":"⫶⩼⫲1238⫩⊇=⫶⩼⫲-120B","layer":1},{"info":"⫶⩼⫲-1E9C386↙⫶⩼⫲-120B=⫶⩼⫲-1E9C386","layer":0}]}
{"id":899,"expression_no_base_symbol":"$1222$⩚⊴⇥$3359$⩨(⫓⪴$3282$)","expression":"⫶⩼⫲567⩚⊴⇥⫶⩼⫲EDE⩨(⫓⪴⫶⩼⫲E8C)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5578,"operation_count":3,"complexity_ratio":1859.3333333333333,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1222,"base":15},"right_expr":{"type":"numeric_atoms","value":3359,"base":15}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":3282,"base":15}}},"used_operators":["2DlMacCsIx","NTOWxs364D","eLxqMNBOBk"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","9HNa5Wba9A"],"result":"⫶⩼⫲2083","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1222","layer":2},{"info":"number node, value=3359","layer":2},{"info":"compute binary expreesion, left_input=1222, right_input=3359, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4702","layer":1},{"info":"number node, value=3282","layer":2},{"info":"compute unary expreesion, input=3282, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=10771524","layer":1},{"info":"compute binary expreesion, left_input=-4702, right_input=10771524, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=6873","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲567⩚⊴⇥⫶⩼⫲EDE⩨(⫓⪴⫶⩼⫲E8C)=⫶⩼⫲2083","reverse_text":"⫶⩼⫲2083=⫶⩼⫲567⩚⊴⇥⫶⩼⫲EDE⩨(⫓⪴⫶⩼⫲E8C)","cot":[{"info":"⫶⩼⫲567⩚⊴⇥⫶⩼⫲EDE=⫶⩼⫲-15D7","layer":1},{"info":"⫓⪴⫶⩼⫲E8C=⫶⩼⫲E2B869","layer":1},{"info":"⫶⩼⫲-15D7⩨⫶⩼⫲E2B869=⫶⩼⫲2083","layer":0}]}
{"id":900,"expression_no_base_symbol":"($1798$/$1091$)⇼⇔∾(↥$2985$)","expression":"(⫶⩼⫲7ED/⫶⩼⫲4CB)⇼⇔∾(↥⫶⩼⫲D40)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":61,"operation_count":3,"complexity_ratio":20.333333333333332,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1798,"base":15},"right_expr":{"type":"numeric_atoms","value":1091,"base":15}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":2985,"base":15}}},"used_operators":["tifHPKVTfV","XhwjNDsVaA","A8NUZmVepG"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","k8jYdgA6NY"],"result":"⫶⩼⫲1B","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1798","layer":2},{"info":"number node, value=1091","layer":2},{"info":"compute binary expreesion, left_input=1798, right_input=1091, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":1},{"info":"number node, value=2985","layer":2},{"info":"compute unary expreesion, input=2985, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=27","layer":1},{"info":"compute binary expreesion, left_input=1, right_input=27, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=26","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲7ED/⫶⩼⫲4CB)⇼⇔∾(↥⫶⩼⫲D40)=⫶⩼⫲1B","reverse_text":"⫶⩼⫲1B=(⫶⩼⫲7ED/⫶⩼⫲4CB)⇼⇔∾(↥⫶⩼⫲D40)","cot":[{"info":"⫶⩼⫲7ED/⫶⩼⫲4CB=⫶⩼⫲1","layer":1},{"info":"↥⫶⩼⫲D40=⫶⩼⫲1C","layer":1},{"info":"⫶⩼⫲1⇼⇔∾⫶⩼⫲1C=⫶⩼⫲1B","layer":0}]}
{"id":901,"expression_no_base_symbol":"($1050$∲⫓$2406$)⩚⊴⇥($1424$≋⫹)","expression":"(⫶⩼⫲4A0∲⫓⫶⩼⫲AA6)⩚⊴⇥(⫶⩼⫲64E≋⫹)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":8,"operation_count":3,"complexity_ratio":2.6666666666666665,"tree":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1050,"base":15},"right_expr":{"type":"numeric_atoms","value":2406,"base":15}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":1424,"base":15}}},"used_operators":["NTOWxs364D","i8ToyICDmI","N41Kp7NANJ"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⫶⩼⫲C1C","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1050","layer":2},{"info":"number node, value=2406","layer":2},{"info":"compute binary expreesion, left_input=1050, right_input=2406, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":1},{"info":"number node, value=1424","layer":2},{"info":"compute unary expreesion, input=1424, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-2848","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-2848, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=2727","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲4A0∲⫓⫶⩼⫲AA6)⩚⊴⇥(⫶⩼⫲64E≋⫹)=⫶⩼⫲C1C","reverse_text":"⫶⩼⫲C1C=(⫶⩼⫲4A0∲⫓⫶⩼⫲AA6)⩚⊴⇥(⫶⩼⫲64E≋⫹)","cot":[{"info":"⫶⩼⫲4A0∲⫓⫶⩼⫲AA6=⫶⩼⫲0","layer":1},{"info":"⫶⩼⫲64E≋⫹=⫶⩼⫲-C9D","layer":1},{"info":"⫶⩼⫲0⩚⊴⇥⫶⩼⫲-C9D=⫶⩼⫲C1C","layer":0}]}
{"id":902,"expression_no_base_symbol":"$1143$∼$5592$⨸⪁($6480$⨸⪁$2947$)","expression":"⫶⩼⫲513∼⫶⩼⫲19CC⨸⪁(⫶⩼⫲1DC0⨸⪁⫶⩼⫲D17)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":30,"operation_count":3,"complexity_ratio":10.0,"tree":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1143,"base":15},"right_expr":{"type":"numeric_atoms","value":5592,"base":15}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":6480,"base":15},"right_expr":{"type":"numeric_atoms","value":2947,"base":15}}},"used_operators":["g55IO6H4Gj","DyGG3AbaNP"],"dependent_operators":["W4YGzv6Whe","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1143","layer":2},{"info":"number node, value=5592","layer":2},{"info":"compute binary expreesion, left_input=1143, right_input=5592, 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=6480","layer":2},{"info":"number node, value=2947","layer":2},{"info":"compute binary expreesion, left_input=6480, right_input=2947, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=18854","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=18854, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲513∼⫶⩼⫲19CC⨸⪁(⫶⩼⫲1DC0⨸⪁⫶⩼⫲D17)=NaN","reverse_text":"NaN=⫶⩼⫲513∼⫶⩼⫲19CC⨸⪁(⫶⩼⫲1DC0⨸⪁⫶⩼⫲D17)","cot":[{"info":"⫶⩼⫲513∼⫶⩼⫲19CC=NaN","layer":1},{"info":"⫶⩼⫲1DC0⨸⪁⫶⩼⫲D17=⫶⩼⫲58BE","layer":1},{"info":"NaN⨸⪁⫶⩼⫲58BE=NaN","layer":0}]}
{"id":903,"expression_no_base_symbol":"$3417$+⇶⊼$1324$↺($4484$⊭↱$3307$)","expression":"⫶⩼⫲102C+⇶⊼⫶⩼⫲5D4↺(⫶⩼⫲14DE⊭↱⫶⩼⫲EA7)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":9,"operation_count":3,"complexity_ratio":3.0,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":3417,"base":15},"right_expr":{"type":"numeric_atoms","value":1324,"base":15}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":4484,"base":15},"right_expr":{"type":"numeric_atoms","value":3307,"base":15}}},"used_operators":["7j4O788W3g","TpPTUOHfaN","COABgblf1C"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd"],"result":"⫶⩼⫲-A69","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=3417","layer":2},{"info":"number node, value=1324","layer":2},{"info":"compute binary expreesion, left_input=3417, right_input=1324, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=4484","layer":2},{"info":"number node, value=3307","layer":2},{"info":"compute binary expreesion, left_input=4484, right_input=3307, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-2349","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-2349, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-2349","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲102C+⇶⊼⫶⩼⫲5D4↺(⫶⩼⫲14DE⊭↱⫶⩼⫲EA7)=⫶⩼⫲-A69","reverse_text":"⫶⩼⫲-A69=⫶⩼⫲102C+⇶⊼⫶⩼⫲5D4↺(⫶⩼⫲14DE⊭↱⫶⩼⫲EA7)","cot":[{"info":"⫶⩼⫲102C+⇶⊼⫶⩼⫲5D4=NaN","layer":1},{"info":"⫶⩼⫲14DE⊭↱⫶⩼⫲EA7=⫶⩼⫲-A69","layer":1},{"info":"NaN↺⫶⩼⫲-A69=⫶⩼⫲-A69","layer":0}]}
{"id":904,"expression_no_base_symbol":"≉$3254$⊴$1665$","expression":"≉⫶⩼⫲E6E⊴⫶⩼⫲760","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4270,"operation_count":2,"complexity_ratio":2135.0,"tree":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":3254,"base":15},"right_expr":{"type":"numeric_atoms","value":1665,"base":15}}},"used_operators":["e1ybzncUwg","Nsiff2A1zJ"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=3254","layer":2},{"info":"number node, value=1665","layer":2},{"info":"compute binary expreesion, left_input=3254, right_input=1665, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', 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":15,"result_base":15,"text":"≉⫶⩼⫲E6E⊴⫶⩼⫲760=NaN","reverse_text":"NaN=≉⫶⩼⫲E6E⊴⫶⩼⫲760","cot":[{"info":"⫶⩼⫲E6E⊴⫶⩼⫲760=NaN","layer":1},{"info":"≉NaN=NaN","layer":0}]}
{"id":905,"expression_no_base_symbol":"(⊙↵-$1169$)⇷($1035$⪄$2821$)","expression":"(⊙↵-⫶⩼⫲52E)⇷(⫶⩼⫲490⪄⫶⩼⫲C81)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1332,"operation_count":3,"complexity_ratio":444.0,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1169,"base":15}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1035,"base":15},"right_expr":{"type":"numeric_atoms","value":2821,"base":15}}},"used_operators":["mp7IySMOzn","oWn0xqSxBt","SUmda5xLS4"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"⫶⩼⫲-643","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1169","layer":2},{"info":"compute unary expreesion, input=1169, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":1},{"info":"number node, value=1035","layer":2},{"info":"number node, value=2821","layer":2},{"info":"compute binary expreesion, left_input=1035, right_input=2821, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-160553","layer":1},{"info":"compute binary expreesion, left_input=-1, right_input=-160553, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=-1413","layer":0}],"base":15,"result_base":15,"text":"(⊙↵-⫶⩼⫲52E)⇷(⫶⩼⫲490⪄⫶⩼⫲C81)=⫶⩼⫲-643","reverse_text":"⫶⩼⫲-643=(⊙↵-⫶⩼⫲52E)⇷(⫶⩼⫲490⪄⫶⩼⫲C81)","cot":[{"info":"⊙↵-⫶⩼⫲52E=⫶⩼⫲-1","layer":1},{"info":"⫶⩼⫲490⪄⫶⩼⫲C81=⫶⩼⫲-32888","layer":1},{"info":"⫶⩼⫲-1⇷⫶⩼⫲-32888=⫶⩼⫲-643","layer":0}]}
{"id":906,"expression_no_base_symbol":"$1756$⋝⋈⪟$1370$⨵⪆$4241$⨸⪁$1322$","expression":"⫶⩼⫲7C1⋝⋈⪟⫶⩼⫲615⨵⪆⫶⩼⫲13CB⨸⪁⫶⩼⫲5D2","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7,"operation_count":3,"complexity_ratio":2.3333333333333335,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1756,"base":15},"right_expr":{"type":"numeric_atoms","value":1370,"base":15}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":4241,"base":15},"right_expr":{"type":"numeric_atoms","value":1322,"base":15}}},"used_operators":["2DQ55sFlQl","2DDjHMKMc0","g55IO6H4Gj"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe"],"result":"⫶⩼⫲AA","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1756","layer":2},{"info":"number node, value=1370","layer":2},{"info":"compute binary expreesion, left_input=1756, right_input=1370, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1756","layer":1},{"info":"number node, value=4241","layer":2},{"info":"number node, value=1322","layer":2},{"info":"compute binary expreesion, left_input=4241, right_input=1322, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=11126","layer":1},{"info":"compute binary expreesion, left_input=1756, right_input=11126, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲7C1⋝⋈⪟⫶⩼⫲615⨵⪆⫶⩼⫲13CB⨸⪁⫶⩼⫲5D2=⫶⩼⫲AA","reverse_text":"⫶⩼⫲AA=⫶⩼⫲7C1⋝⋈⪟⫶⩼⫲615⨵⪆⫶⩼⫲13CB⨸⪁⫶⩼⫲5D2","cot":[{"info":"⫶⩼⫲7C1⋝⋈⪟⫶⩼⫲615=⫶⩼⫲7C1","layer":1},{"info":"⫶⩼⫲13CB⨸⪁⫶⩼⫲5D2=⫶⩼⫲346B","layer":1},{"info":"⫶⩼⫲7C1⨵⪆⫶⩼⫲346B=⫶⩼⫲AA","layer":0}]}
{"id":907,"expression_no_base_symbol":"$4115$⪢$2633$⋷$1906$⪛$2648$","expression":"⫶⩼⫲1345⪢⫶⩼⫲BA8⋷⫶⩼⫲871⪛⫶⩼⫲BB8","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":10763,"operation_count":3,"complexity_ratio":3587.6666666666665,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":4115,"base":15},"right_expr":{"type":"numeric_atoms","value":2633,"base":15}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1906,"base":15},"right_expr":{"type":"numeric_atoms","value":2648,"base":15}}},"used_operators":["23Mk6UjR3U","dWAJyo7jo9","uFcxV4UQCh"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=4115","layer":2},{"info":"number node, value=2633","layer":2},{"info":"compute binary expreesion, left_input=4115, right_input=2633, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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=1906","layer":2},{"info":"number node, value=2648","layer":2},{"info":"compute binary expreesion, left_input=1906, right_input=2648, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1906","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1906, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲1345⪢⫶⩼⫲BA8⋷⫶⩼⫲871⪛⫶⩼⫲BB8=NaN","reverse_text":"NaN=⫶⩼⫲1345⪢⫶⩼⫲BA8⋷⫶⩼⫲871⪛⫶⩼⫲BB8","cot":[{"info":"⫶⩼⫲1345⪢⫶⩼⫲BA8=NaN","layer":1},{"info":"⫶⩼⫲871⪛⫶⩼⫲BB8=⫶⩼⫲871","layer":1},{"info":"NaN⋷⫶⩼⫲871=NaN","layer":0}]}
{"id":908,"expression_no_base_symbol":"⊥(≤/$1514$)","expression":"⊥(≤/⫶⩼⫲6AE)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2,"operation_count":2,"complexity_ratio":1.0,"tree":{"type":"unary","operator":"⊥","unary_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1514,"base":15}}},"used_operators":["Q3PJZHRvZv","eLAdDNolq6"],"dependent_operators":["fu6greOZ01","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1514","layer":2},{"info":"compute unary expreesion, input=1514, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1030","layer":1},{"info":"compute unary expreesion, input=-1030, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"⊥(≤/⫶⩼⫲6AE)=NaN","reverse_text":"NaN=⊥(≤/⫶⩼⫲6AE)","cot":[{"info":"≤/⫶⩼⫲6AE=⫶⩼⫲-48A","layer":1},{"info":"⊥⫶⩼⫲-48A=NaN","layer":0}]}
{"id":909,"expression_no_base_symbol":"$2996$⩷∴$1738$⨎$1404$⊴$1778$","expression":"⫶⩼⫲D4B⩷∴⫶⩼⫲7AD⨎⫶⩼⫲639⊴⫶⩼⫲7D8","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1791,"operation_count":3,"complexity_ratio":597.0,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2996,"base":15},"right_expr":{"type":"numeric_atoms","value":1738,"base":15}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1404,"base":15},"right_expr":{"type":"numeric_atoms","value":1778,"base":15}}},"used_operators":["rJVOvQCfKK","9FxExcQeMw","Nsiff2A1zJ"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=2996","layer":2},{"info":"number node, value=1738","layer":2},{"info":"compute binary expreesion, left_input=2996, right_input=1738, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=2484","layer":1},{"info":"number node, value=1404","layer":2},{"info":"number node, value=1778","layer":2},{"info":"compute binary expreesion, left_input=1404, right_input=1778, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=2484, 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":15,"result_base":15,"text":"⫶⩼⫲D4B⩷∴⫶⩼⫲7AD⨎⫶⩼⫲639⊴⫶⩼⫲7D8=NaN","reverse_text":"NaN=⫶⩼⫲D4B⩷∴⫶⩼⫲7AD⨎⫶⩼⫲639⊴⫶⩼⫲7D8","cot":[{"info":"⫶⩼⫲D4B⩷∴⫶⩼⫲7AD=⫶⩼⫲B09","layer":1},{"info":"⫶⩼⫲639⊴⫶⩼⫲7D8=NaN","layer":1},{"info":"⫶⩼⫲B09⨎NaN=NaN","layer":0}]}
{"id":910,"expression_no_base_symbol":"(⨰⫟⨤$2741$)≎⊠⪸($2446$⊪)","expression":"(⨰⫟⨤⫶⩼⫲C2B)≎⊠⪸(⫶⩼⫲AD1⊪)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":10169,"operation_count":3,"complexity_ratio":3389.6666666666665,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":2741,"base":15}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":2446,"base":15}}},"used_operators":["bJkvcejdHO","Tw270M8GLb","zVYPLywUTj"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=2741","layer":2},{"info":"compute unary expreesion, input=2741, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":1},{"info":"number node, value=2446","layer":2},{"info":"compute unary expreesion, input=2446, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=nan","layer":0}],"base":15,"result_base":15,"text":"(⨰⫟⨤⫶⩼⫲C2B)≎⊠⪸(⫶⩼⫲AD1⊪)=NaN","reverse_text":"NaN=(⨰⫟⨤⫶⩼⫲C2B)≎⊠⪸(⫶⩼⫲AD1⊪)","cot":[{"info":"⨰⫟⨤⫶⩼⫲C2B=NaN","layer":1},{"info":"⫶⩼⫲AD1⊪=⫶⩼⫲0","layer":1},{"info":"NaN≎⊠⪸⫶⩼⫲0=NaN","layer":0}]}
{"id":911,"expression_no_base_symbol":"($1285$⊭↱$1176$)⋓($9447$≭$4074$)","expression":"(⫶⩼⫲5AA⊭↱⫶⩼⫲536)⋓(⫶⩼⫲2BEC≭⫶⩼⫲1319)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":20,"operation_count":3,"complexity_ratio":6.666666666666667,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1285,"base":15},"right_expr":{"type":"numeric_atoms","value":1176,"base":15}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":9447,"base":15},"right_expr":{"type":"numeric_atoms","value":4074,"base":15}}},"used_operators":["T2fj7uvVaJ","COABgblf1C","rxpJgHHUmx"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1285","layer":2},{"info":"number node, value=1176","layer":2},{"info":"compute binary expreesion, left_input=1285, right_input=1176, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-213","layer":1},{"info":"number node, value=9447","layer":2},{"info":"number node, value=4074","layer":2},{"info":"compute binary expreesion, left_input=9447, right_input=4074, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=-213, 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":15,"result_base":15,"text":"(⫶⩼⫲5AA⊭↱⫶⩼⫲536)⋓(⫶⩼⫲2BEC≭⫶⩼⫲1319)=NaN","reverse_text":"NaN=(⫶⩼⫲5AA⊭↱⫶⩼⫲536)⋓(⫶⩼⫲2BEC≭⫶⩼⫲1319)","cot":[{"info":"⫶⩼⫲5AA⊭↱⫶⩼⫲536=⫶⩼⫲-E3","layer":1},{"info":"⫶⩼⫲2BEC≭⫶⩼⫲1319=NaN","layer":1},{"info":"⫶⩼⫲-E3⋓NaN=NaN","layer":0}]}
{"id":912,"expression_no_base_symbol":"(⩦⩻⨪$2450$)⫡⨏$1848$≹⇙⪍$2513$","expression":"(⩦⩻⨪⫶⩼⫲AD5)⫡⨏⫶⩼⫲833≹⇙⪍⫶⩼⫲B28","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":11,"operation_count":3,"complexity_ratio":3.6666666666666665,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":2450,"base":15}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1848,"base":15},"right_expr":{"type":"numeric_atoms","value":2513,"base":15}}},"used_operators":["QMFrweE19q","2td37pGCOC","AHs5Up7iyr"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=2450","layer":2},{"info":"compute unary expreesion, input=2450, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=2450","layer":1},{"info":"number node, value=1848","layer":2},{"info":"number node, value=2513","layer":2},{"info":"compute binary expreesion, left_input=1848, right_input=2513, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(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=2450, 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":15,"result_base":15,"text":"(⩦⩻⨪⫶⩼⫲AD5)⫡⨏⫶⩼⫲833≹⇙⪍⫶⩼⫲B28=NaN","reverse_text":"NaN=(⩦⩻⨪⫶⩼⫲AD5)⫡⨏⫶⩼⫲833≹⇙⪍⫶⩼⫲B28","cot":[{"info":"⩦⩻⨪⫶⩼⫲AD5=⫶⩼⫲AD5","layer":1},{"info":"⫶⩼⫲833≹⇙⪍⫶⩼⫲B28=NaN","layer":1},{"info":"⫶⩼⫲AD5⫡⨏NaN=NaN","layer":0}]}
{"id":913,"expression_no_base_symbol":"$1245$∼$3113$-($2069$⨁⊸⫻)","expression":"⫶⩼⫲580∼⫶⩼⫲DC8-(⫶⩼⫲92E⨁⊸⫻)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":28,"operation_count":3,"complexity_ratio":9.333333333333334,"tree":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1245,"base":15},"right_expr":{"type":"numeric_atoms","value":3113,"base":15}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":2069,"base":15}}},"used_operators":["rysDP5nf3Z","DyGG3AbaNP","glklzrTFfD"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1245","layer":2},{"info":"number node, value=3113","layer":2},{"info":"compute binary expreesion, left_input=1245, right_input=3113, 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=2069","layer":2},{"info":"compute unary expreesion, input=2069, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=2069","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2069, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲580∼⫶⩼⫲DC8-(⫶⩼⫲92E⨁⊸⫻)=NaN","reverse_text":"NaN=⫶⩼⫲580∼⫶⩼⫲DC8-(⫶⩼⫲92E⨁⊸⫻)","cot":[{"info":"⫶⩼⫲580∼⫶⩼⫲DC8=NaN","layer":1},{"info":"⫶⩼⫲92E⨁⊸⫻=⫶⩼⫲92E","layer":1},{"info":"NaN-⫶⩼⫲92E=NaN","layer":0}]}
{"id":914,"expression_no_base_symbol":"(⨰⫟⨤$1092$)⪨≂$4425$⨸⪁$2635$","expression":"(⨰⫟⨤⫶⩼⫲4CC)⪨≂⫶⩼⫲14A0⨸⪁⫶⩼⫲BAA","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3536,"operation_count":3,"complexity_ratio":1178.6666666666667,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":1092,"base":15}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":4425,"base":15},"right_expr":{"type":"numeric_atoms","value":2635,"base":15}}},"used_operators":["sdazOOVcIp","Tw270M8GLb","g55IO6H4Gj"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1092","layer":2},{"info":"compute unary expreesion, input=1092, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":1},{"info":"number node, value=4425","layer":2},{"info":"number node, value=2635","layer":2},{"info":"compute binary expreesion, left_input=4425, right_input=2635, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=14120","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=14120, op_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":15,"result_base":15,"text":"(⨰⫟⨤⫶⩼⫲4CC)⪨≂⫶⩼⫲14A0⨸⪁⫶⩼⫲BAA=NaN","reverse_text":"NaN=(⨰⫟⨤⫶⩼⫲4CC)⪨≂⫶⩼⫲14A0⨸⪁⫶⩼⫲BAA","cot":[{"info":"⨰⫟⨤⫶⩼⫲4CC=NaN","layer":1},{"info":"⫶⩼⫲14A0⨸⪁⫶⩼⫲BAA=⫶⩼⫲42B5","layer":1},{"info":"NaN⪨≂⫶⩼⫲42B5=NaN","layer":0}]}
{"id":915,"expression_no_base_symbol":"$6189$⪮%⊝$3018$-($8386$⫡⨏$2278$)","expression":"⫶⩼⫲1C79⪮%⊝⫶⩼⫲D63-(⫶⩼⫲2741⫡⨏⫶⩼⫲A1D)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":17,"operation_count":3,"complexity_ratio":5.666666666666667,"tree":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":6189,"base":15},"right_expr":{"type":"numeric_atoms","value":3018,"base":15}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":8386,"base":15},"right_expr":{"type":"numeric_atoms","value":2278,"base":15}}},"used_operators":["rysDP5nf3Z","IWmyXbctLI","QMFrweE19q"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd"],"result":"⫶⩼⫲-A3A0","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=6189","layer":2},{"info":"number node, value=3018","layer":2},{"info":"compute binary expreesion, left_input=6189, right_input=3018, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=12694","layer":1},{"info":"number node, value=8386","layer":2},{"info":"number node, value=2278","layer":2},{"info":"compute binary expreesion, left_input=8386, right_input=2278, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=47269","layer":1},{"info":"compute binary expreesion, left_input=12694, right_input=47269, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-34575","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲1C79⪮%⊝⫶⩼⫲D63-(⫶⩼⫲2741⫡⨏⫶⩼⫲A1D)=⫶⩼⫲-A3A0","reverse_text":"⫶⩼⫲-A3A0=⫶⩼⫲1C79⪮%⊝⫶⩼⫲D63-(⫶⩼⫲2741⫡⨏⫶⩼⫲A1D)","cot":[{"info":"⫶⩼⫲1C79⪮%⊝⫶⩼⫲D63=⫶⩼⫲3B64","layer":1},{"info":"⫶⩼⫲2741⫡⨏⫶⩼⫲A1D=⫶⩼⫲E014","layer":1},{"info":"⫶⩼⫲3B64-⫶⩼⫲E014=⫶⩼⫲-A3A0","layer":0}]}
{"id":916,"expression_no_base_symbol":"⨑⩽⪐(↣≠⋷$9273$)","expression":"⨑⩽⪐(↣≠⋷⫶⩼⫲2B33)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":10,"operation_count":2,"complexity_ratio":5.0,"tree":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":9273,"base":15}}},"used_operators":["AF7qkfDlqP","Asc51vEJeQ"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","XhwjNDsVaA","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=9273","layer":2},{"info":"compute unary expreesion, input=9273, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=nan","layer":0}],"base":15,"result_base":15,"text":"⨑⩽⪐(↣≠⋷⫶⩼⫲2B33)=NaN","reverse_text":"NaN=⨑⩽⪐(↣≠⋷⫶⩼⫲2B33)","cot":[{"info":"↣≠⋷⫶⩼⫲2B33=NaN","layer":1},{"info":"⨑⩽⪐NaN=NaN","layer":0}]}
{"id":917,"expression_no_base_symbol":"($2903$⪒$1573$)↙(⫓⪴$4668$)","expression":"(⫶⩼⫲CD8⪒⫶⩼⫲6ED)↙(⫓⪴⫶⩼⫲15B3)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4672,"operation_count":3,"complexity_ratio":1557.3333333333333,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2903,"base":15},"right_expr":{"type":"numeric_atoms","value":1573,"base":15}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":4668,"base":15}}},"used_operators":["yyfyN0ffXY","f6k1SAg4EE","eLxqMNBOBk"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A"],"result":"⫶⩼⫲-14D6","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2903","layer":2},{"info":"number node, value=1573","layer":2},{"info":"compute binary expreesion, left_input=2903, right_input=1573, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4476","layer":1},{"info":"number node, value=4668","layer":2},{"info":"compute unary expreesion, input=4668, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=21790224","layer":1},{"info":"compute binary expreesion, left_input=-4476, right_input=21790224, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-4476","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲CD8⪒⫶⩼⫲6ED)↙(⫓⪴⫶⩼⫲15B3)=⫶⩼⫲-14D6","reverse_text":"⫶⩼⫲-14D6=(⫶⩼⫲CD8⪒⫶⩼⫲6ED)↙(⫓⪴⫶⩼⫲15B3)","cot":[{"info":"⫶⩼⫲CD8⪒⫶⩼⫲6ED=⫶⩼⫲-14D6","layer":1},{"info":"⫓⪴⫶⩼⫲15B3=⫶⩼⫲1DA6569","layer":1},{"info":"⫶⩼⫲-14D6↙⫶⩼⫲1DA6569=⫶⩼⫲-14D6","layer":0}]}
{"id":918,"expression_no_base_symbol":"($2840$⋥≓≎$2432$)⩚⊴⇥($2340$⇼⇔∾$7533$)","expression":"(⫶⩼⫲C95⋥≓≎⫶⩼⫲AC2)⩚⊴⇥(⫶⩼⫲A60⇼⇔∾⫶⩼⫲2373)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":9,"operation_count":3,"complexity_ratio":3.0,"tree":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2840,"base":15},"right_expr":{"type":"numeric_atoms","value":2432,"base":15}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2340,"base":15},"right_expr":{"type":"numeric_atoms","value":7533,"base":15}}},"used_operators":["NTOWxs364D","Qy55tPpLXF","tifHPKVTfV"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⫶⩼⫲-22B6","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2840","layer":2},{"info":"number node, value=2432","layer":2},{"info":"compute binary expreesion, left_input=2840, right_input=2432, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=2057","layer":1},{"info":"number node, value=2340","layer":2},{"info":"number node, value=7533","layer":2},{"info":"compute binary expreesion, left_input=2340, right_input=7533, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=5193","layer":1},{"info":"compute binary expreesion, left_input=2057, right_input=5193, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-7371","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲C95⋥≓≎⫶⩼⫲AC2)⩚⊴⇥(⫶⩼⫲A60⇼⇔∾⫶⩼⫲2373)=⫶⩼⫲-22B6","reverse_text":"⫶⩼⫲-22B6=(⫶⩼⫲C95⋥≓≎⫶⩼⫲AC2)⩚⊴⇥(⫶⩼⫲A60⇼⇔∾⫶⩼⫲2373)","cot":[{"info":"⫶⩼⫲C95⋥≓≎⫶⩼⫲AC2=⫶⩼⫲922","layer":1},{"info":"⫶⩼⫲A60⇼⇔∾⫶⩼⫲2373=⫶⩼⫲1813","layer":1},{"info":"⫶⩼⫲922⩚⊴⇥⫶⩼⫲1813=⫶⩼⫲-22B6","layer":0}]}
{"id":919,"expression_no_base_symbol":"$1041$⫥∨⫟$1307$-$1813$%$3575$","expression":"⫶⩼⫲496⫥∨⫟⫶⩼⫲5C2-⫶⩼⫲80D%⫶⩼⫲10D5","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":156,"operation_count":3,"complexity_ratio":52.0,"tree":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1041,"base":15},"right_expr":{"type":"numeric_atoms","value":1307,"base":15}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1813,"base":15},"right_expr":{"type":"numeric_atoms","value":3575,"base":15}}},"used_operators":["rysDP5nf3Z","KYD54nUTWz","k8jYdgA6NY"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1041","layer":2},{"info":"number node, value=1307","layer":2},{"info":"compute binary expreesion, left_input=1041, right_input=1307, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=1813","layer":2},{"info":"number node, value=3575","layer":2},{"info":"compute binary expreesion, left_input=1813, right_input=3575, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1813","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1813, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲496⫥∨⫟⫶⩼⫲5C2-⫶⩼⫲80D%⫶⩼⫲10D5=NaN","reverse_text":"NaN=⫶⩼⫲496⫥∨⫟⫶⩼⫲5C2-⫶⩼⫲80D%⫶⩼⫲10D5","cot":[{"info":"⫶⩼⫲496⫥∨⫟⫶⩼⫲5C2=NaN","layer":1},{"info":"⫶⩼⫲80D%⫶⩼⫲10D5=⫶⩼⫲80D","layer":1},{"info":"NaN-⫶⩼⫲80D=NaN","layer":0}]}
{"id":920,"expression_no_base_symbol":"⪲⇎($9460$⫸⊐$3276$)","expression":"⪲⇎(⫶⩼⫲2C0A⫸⊐⫶⩼⫲E86)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":26,"operation_count":2,"complexity_ratio":13.0,"tree":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":9460,"base":15},"right_expr":{"type":"numeric_atoms","value":3276,"base":15}}},"used_operators":["XPYlsWDdGa","mqXw5SEYmG"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"⫶⩼⫲7A58","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=9460","layer":2},{"info":"number node, value=3276","layer":2},{"info":"compute binary expreesion, left_input=9460, right_input=3276, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=12979","layer":1},{"info":"compute unary expreesion, input=12979, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=25958","layer":0}],"base":15,"result_base":15,"text":"⪲⇎(⫶⩼⫲2C0A⫸⊐⫶⩼⫲E86)=⫶⩼⫲7A58","reverse_text":"⫶⩼⫲7A58=⪲⇎(⫶⩼⫲2C0A⫸⊐⫶⩼⫲E86)","cot":[{"info":"⫶⩼⫲2C0A⫸⊐⫶⩼⫲E86=⫶⩼⫲3CA4","layer":1},{"info":"⪲⇎⫶⩼⫲3CA4=⫶⩼⫲7A58","layer":0}]}
{"id":921,"expression_no_base_symbol":"($7692$⪐)∼($6360$⨓$2558$)","expression":"(⫶⩼⫲242C⪐)∼(⫶⩼⫲1D40⨓⫶⩼⫲B58)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2869,"operation_count":3,"complexity_ratio":956.3333333333334,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":7692,"base":15}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":6360,"base":15},"right_expr":{"type":"numeric_atoms","value":2558,"base":15}}},"used_operators":["DyGG3AbaNP","eH2TOUuTDT","3ViojmjbAp"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=7692","layer":2},{"info":"compute unary expreesion, input=7692, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=15384","layer":1},{"info":"number node, value=6360","layer":2},{"info":"number node, value=2558","layer":2},{"info":"compute binary expreesion, left_input=6360, right_input=2558, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2561","layer":1},{"info":"compute binary expreesion, left_input=15384, right_input=-2561, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲242C⪐)∼(⫶⩼⫲1D40⨓⫶⩼⫲B58)=NaN","reverse_text":"NaN=(⫶⩼⫲242C⪐)∼(⫶⩼⫲1D40⨓⫶⩼⫲B58)","cot":[{"info":"⫶⩼⫲242C⪐=⫶⩼⫲4859","layer":1},{"info":"⫶⩼⫲1D40⨓⫶⩼⫲B58=⫶⩼⫲-B5B","layer":1},{"info":"⫶⩼⫲4859∼⫶⩼⫲-B5B=NaN","layer":0}]}
{"id":922,"expression_no_base_symbol":"($4088$⊦⊿)⇷($2027$⩨$2017$)","expression":"(⫶⩼⫲1328⊦⊿)⇷(⫶⩼⫲902⩨⫶⩼⫲8E7)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":172818,"operation_count":3,"complexity_ratio":57606.0,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":4088,"base":15}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2027,"base":15},"right_expr":{"type":"numeric_atoms","value":2017,"base":15}}},"used_operators":["mp7IySMOzn","14qkJME0vr","2DlMacCsIx"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"⫶⩼⫲0","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=4088","layer":2},{"info":"compute unary expreesion, input=4088, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-12343","layer":1},{"info":"number node, value=2027","layer":2},{"info":"number node, value=2017","layer":2},{"info":"compute binary expreesion, left_input=2027, right_input=2017, 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=-12343, right_input=0, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=0","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲1328⊦⊿)⇷(⫶⩼⫲902⩨⫶⩼⫲8E7)=⫶⩼⫲0","reverse_text":"⫶⩼⫲0=(⫶⩼⫲1328⊦⊿)⇷(⫶⩼⫲902⩨⫶⩼⫲8E7)","cot":[{"info":"⫶⩼⫲1328⊦⊿=⫶⩼⫲-39CD","layer":1},{"info":"⫶⩼⫲902⩨⫶⩼⫲8E7=⫶⩼⫲0","layer":1},{"info":"⫶⩼⫲-39CD⇷⫶⩼⫲0=⫶⩼⫲0","layer":0}]}
{"id":923,"expression_no_base_symbol":"($5863$↙$1738$)⨪↰⇹($1626$⩷∴$3268$)","expression":"(⫶⩼⫲1B0D↙⫶⩼⫲7AD)⨪↰⇹(⫶⩼⫲736⩷∴⫶⩼⫲E7D)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6961,"operation_count":3,"complexity_ratio":2320.3333333333335,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":5863,"base":15},"right_expr":{"type":"numeric_atoms","value":1738,"base":15}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1626,"base":15},"right_expr":{"type":"numeric_atoms","value":3268,"base":15}}},"used_operators":["tmPS8pqC7x","yyfyN0ffXY","9FxExcQeMw"],"dependent_operators":["rJVOvQCfKK","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z"],"result":"⫶⩼⫲-1829","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=5863","layer":2},{"info":"number node, value=1738","layer":2},{"info":"compute binary expreesion, left_input=5863, right_input=1738, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-5214","layer":1},{"info":"number node, value=1626","layer":2},{"info":"number node, value=3268","layer":2},{"info":"compute binary expreesion, left_input=1626, right_input=3268, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-3316","layer":1},{"info":"compute binary expreesion, left_input=-5214, 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=-5214","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲1B0D↙⫶⩼⫲7AD)⨪↰⇹(⫶⩼⫲736⩷∴⫶⩼⫲E7D)=⫶⩼⫲-1829","reverse_text":"⫶⩼⫲-1829=(⫶⩼⫲1B0D↙⫶⩼⫲7AD)⨪↰⇹(⫶⩼⫲736⩷∴⫶⩼⫲E7D)","cot":[{"info":"⫶⩼⫲1B0D↙⫶⩼⫲7AD=⫶⩼⫲-1829","layer":1},{"info":"⫶⩼⫲736⩷∴⫶⩼⫲E7D=⫶⩼⫲-EB1","layer":1},{"info":"⫶⩼⫲-1829⨪↰⇹⫶⩼⫲-EB1=⫶⩼⫲-1829","layer":0}]}
{"id":924,"expression_no_base_symbol":"$2414$⪘⫢$5058$⊭∹↮","expression":"⫶⩼⫲AAE⪘⫢⫶⩼⫲1773⊭∹↮","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":21,"operation_count":2,"complexity_ratio":10.5,"tree":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2414,"base":15},"right_expr":{"type":"numeric_atoms","value":5058,"base":15}}},"used_operators":["xNBdhnnwKq","oacrs7FA3X"],"dependent_operators":["2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"⫶⩼⫲2BC3","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=2414","layer":2},{"info":"number node, value=5058","layer":2},{"info":"compute binary expreesion, left_input=2414, right_input=5058, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=4704","layer":1},{"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":0}],"base":15,"result_base":15,"text":"⫶⩼⫲AAE⪘⫢⫶⩼⫲1773⊭∹↮=⫶⩼⫲2BC3","reverse_text":"⫶⩼⫲2BC3=⫶⩼⫲AAE⪘⫢⫶⩼⫲1773⊭∹↮","cot":[{"info":"⫶⩼⫲AAE⪘⫢⫶⩼⫲1773=⫶⩼⫲15D9","layer":1},{"info":"⫶⩼⫲15D9⊭∹↮=⫶⩼⫲2BC3","layer":0}]}
{"id":925,"expression_no_base_symbol":"($2282$⋫)⪮%⊝($3420$≎⊠⪸$8317$)","expression":"(⫶⩼⫲A22⋫)⪮%⊝(⫶⩼⫲1030≎⊠⪸⫶⩼⫲26E7)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2561,"operation_count":3,"complexity_ratio":853.6666666666666,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":2282,"base":15}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":3420,"base":15},"right_expr":{"type":"numeric_atoms","value":8317,"base":15}}},"used_operators":["IWmyXbctLI","JL8yIekQnl","bJkvcejdHO"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","tmPS8pqC7x","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"⫶⩼⫲16A5","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2282","layer":2},{"info":"compute unary expreesion, input=2282, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=2282","layer":1},{"info":"number node, value=3420","layer":2},{"info":"number node, value=8317","layer":2},{"info":"compute binary expreesion, left_input=3420, right_input=8317, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=885307","layer":1},{"info":"compute binary expreesion, left_input=2282, right_input=885307, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=4880","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲A22⋫)⪮%⊝(⫶⩼⫲1030≎⊠⪸⫶⩼⫲26E7)=⫶⩼⫲16A5","reverse_text":"⫶⩼⫲16A5=(⫶⩼⫲A22⋫)⪮%⊝(⫶⩼⫲1030≎⊠⪸⫶⩼⫲26E7)","cot":[{"info":"⫶⩼⫲A22⋫=⫶⩼⫲A22","layer":1},{"info":"⫶⩼⫲1030≎⊠⪸⫶⩼⫲26E7=⫶⩼⫲1274A7","layer":1},{"info":"⫶⩼⫲A22⪮%⊝⫶⩼⫲1274A7=⫶⩼⫲16A5","layer":0}]}
{"id":926,"expression_no_base_symbol":"⪝⪂⫅($4016$⫥∨⫟$1281$)","expression":"⪝⪂⫅(⫶⩼⫲12CB⫥∨⫟⫶⩼⫲5A6)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":158,"operation_count":2,"complexity_ratio":79.0,"tree":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":4016,"base":15},"right_expr":{"type":"numeric_atoms","value":1281,"base":15}}},"used_operators":["XTarYq4gQB","KYD54nUTWz"],"dependent_operators":["9HNa5Wba9A","8w2t5hMYqp","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=4016","layer":2},{"info":"number node, value=1281","layer":2},{"info":"compute binary expreesion, left_input=4016, right_input=1281, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽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":15,"result_base":15,"text":"⪝⪂⫅(⫶⩼⫲12CB⫥∨⫟⫶⩼⫲5A6)=NaN","reverse_text":"NaN=⪝⪂⫅(⫶⩼⫲12CB⫥∨⫟⫶⩼⫲5A6)","cot":[{"info":"⫶⩼⫲12CB⫥∨⫟⫶⩼⫲5A6=NaN","layer":1},{"info":"⪝⪂⫅NaN=NaN","layer":0}]}
{"id":927,"expression_no_base_symbol":"$1503$⪘⫢$4244$⇼⇔∾(⨵≀≌$3821$)","expression":"⫶⩼⫲6A3⪘⫢⫶⩼⫲13CE⇼⇔∾(⨵≀≌⫶⩼⫲11EB)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":20,"operation_count":3,"complexity_ratio":6.666666666666667,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1503,"base":15},"right_expr":{"type":"numeric_atoms","value":4244,"base":15}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":3821,"base":15}}},"used_operators":["tifHPKVTfV","oacrs7FA3X","srAu1WTS94"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A"],"result":"⫶⩼⫲-43B5","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1503","layer":2},{"info":"number node, value=4244","layer":2},{"info":"compute binary expreesion, left_input=1503, right_input=4244, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2882","layer":1},{"info":"number node, value=3821","layer":2},{"info":"compute unary expreesion, input=3821, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-11463","layer":1},{"info":"compute binary expreesion, left_input=2882, right_input=-11463, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-14345","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲6A3⪘⫢⫶⩼⫲13CE⇼⇔∾(⨵≀≌⫶⩼⫲11EB)=⫶⩼⫲-43B5","reverse_text":"⫶⩼⫲-43B5=⫶⩼⫲6A3⪘⫢⫶⩼⫲13CE⇼⇔∾(⨵≀≌⫶⩼⫲11EB)","cot":[{"info":"⫶⩼⫲6A3⪘⫢⫶⩼⫲13CE=⫶⩼⫲CC2","layer":1},{"info":"⨵≀≌⫶⩼⫲11EB=⫶⩼⫲-35E3","layer":1},{"info":"⫶⩼⫲CC2⇼⇔∾⫶⩼⫲-35E3=⫶⩼⫲-43B5","layer":0}]}
{"id":928,"expression_no_base_symbol":"(⫛⫱⨽$1180$)⫥∨⫟($1272$⋳⪒$8002$)","expression":"(⫛⫱⨽⫶⩼⫲53A)⫥∨⫟(⫶⩼⫲59C⋳⪒⫶⩼⫲2587)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1583,"operation_count":3,"complexity_ratio":527.6666666666666,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":1180,"base":15}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1272,"base":15},"right_expr":{"type":"numeric_atoms","value":8002,"base":15}}},"used_operators":["KYD54nUTWz","DlLNRPXxWL","12rbrZMWeM"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1180","layer":2},{"info":"compute unary expreesion, input=1180, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":1},{"info":"number node, value=1272","layer":2},{"info":"number node, value=8002","layer":2},{"info":"compute binary expreesion, left_input=1272, right_input=8002, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-5745","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-5745, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"(⫛⫱⨽⫶⩼⫲53A)⫥∨⫟(⫶⩼⫲59C⋳⪒⫶⩼⫲2587)=NaN","reverse_text":"NaN=(⫛⫱⨽⫶⩼⫲53A)⫥∨⫟(⫶⩼⫲59C⋳⪒⫶⩼⫲2587)","cot":[{"info":"⫛⫱⨽⫶⩼⫲53A=⫶⩼⫲0","layer":1},{"info":"⫶⩼⫲59C⋳⪒⫶⩼⫲2587=⫶⩼⫲-1A80","layer":1},{"info":"⫶⩼⫲0⫥∨⫟⫶⩼⫲-1A80=NaN","layer":0}]}
{"id":929,"expression_no_base_symbol":"($2110$/$3652$)⨓$5127$⪢$1292$","expression":"(⫶⩼⫲95A/⫶⩼⫲1137)⨓⫶⩼⫲17BC⪢⫶⩼⫲5B2","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3113,"operation_count":3,"complexity_ratio":1037.6666666666667,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2110,"base":15},"right_expr":{"type":"numeric_atoms","value":3652,"base":15}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":5127,"base":15},"right_expr":{"type":"numeric_atoms","value":1292,"base":15}}},"used_operators":["3ViojmjbAp","XhwjNDsVaA","dWAJyo7jo9"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=2110","layer":2},{"info":"number node, value=3652","layer":2},{"info":"compute binary expreesion, left_input=2110, right_input=3652, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":1},{"info":"number node, value=5127","layer":2},{"info":"number node, value=1292","layer":2},{"info":"compute binary expreesion, left_input=5127, right_input=1292, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲95A/⫶⩼⫲1137)⨓⫶⩼⫲17BC⪢⫶⩼⫲5B2=NaN","reverse_text":"NaN=(⫶⩼⫲95A/⫶⩼⫲1137)⨓⫶⩼⫲17BC⪢⫶⩼⫲5B2","cot":[{"info":"⫶⩼⫲95A/⫶⩼⫲1137=⫶⩼⫲0","layer":1},{"info":"⫶⩼⫲17BC⪢⫶⩼⫲5B2=NaN","layer":1},{"info":"⫶⩼⫲0⨓NaN=NaN","layer":0}]}
{"id":930,"expression_no_base_symbol":"$8454$≭$2581$↺(⩦⩻⨪$4865$)","expression":"⫶⩼⫲2789≭⫶⩼⫲B71↺(⩦⩻⨪⫶⩼⫲1695)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6,"operation_count":3,"complexity_ratio":2.0,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":8454,"base":15},"right_expr":{"type":"numeric_atoms","value":2581,"base":15}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":4865,"base":15}}},"used_operators":["7j4O788W3g","rxpJgHHUmx","2td37pGCOC"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd"],"result":"⫶⩼⫲1695","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=8454","layer":2},{"info":"number node, value=2581","layer":2},{"info":"compute binary expreesion, left_input=8454, right_input=2581, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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=4865","layer":2},{"info":"compute unary expreesion, input=4865, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=4865","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=4865, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=4865","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲2789≭⫶⩼⫲B71↺(⩦⩻⨪⫶⩼⫲1695)=⫶⩼⫲1695","reverse_text":"⫶⩼⫲1695=⫶⩼⫲2789≭⫶⩼⫲B71↺(⩦⩻⨪⫶⩼⫲1695)","cot":[{"info":"⫶⩼⫲2789≭⫶⩼⫲B71=NaN","layer":1},{"info":"⩦⩻⨪⫶⩼⫲1695=⫶⩼⫲1695","layer":1},{"info":"NaN↺⫶⩼⫲1695=⫶⩼⫲1695","layer":0}]}
{"id":931,"expression_no_base_symbol":"($1039$⊠≄⫣)%$1304$⨓$1230$","expression":"(⫶⩼⫲494⊠≄⫣)%⫶⩼⫲5BE⨓⫶⩼⫲570","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1240,"operation_count":3,"complexity_ratio":413.3333333333333,"tree":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":1039,"base":15}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1304,"base":15},"right_expr":{"type":"numeric_atoms","value":1230,"base":15}}},"used_operators":["k8jYdgA6NY","DIvbN7qnHd","3ViojmjbAp"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"⫶⩼⫲0","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1039","layer":2},{"info":"compute unary expreesion, input=1039, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":1},{"info":"number node, value=1304","layer":2},{"info":"number node, value=1230","layer":2},{"info":"compute binary expreesion, left_input=1304, right_input=1230, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1233","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-1233, op_id = k8jYdgA6NY binary_op_definition= 'None', output=0","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲494⊠≄⫣)%⫶⩼⫲5BE⨓⫶⩼⫲570=⫶⩼⫲0","reverse_text":"⫶⩼⫲0=(⫶⩼⫲494⊠≄⫣)%⫶⩼⫲5BE⨓⫶⩼⫲570","cot":[{"info":"⫶⩼⫲494⊠≄⫣=⫶⩼⫲0","layer":1},{"info":"⫶⩼⫲5BE⨓⫶⩼⫲570=⫶⩼⫲-573","layer":1},{"info":"⫶⩼⫲0%⫶⩼⫲-573=⫶⩼⫲0","layer":0}]}
{"id":932,"expression_no_base_symbol":"$3046$⪢$2079$⇋≉","expression":"⫶⩼⫲D81⪢⫶⩼⫲939⇋≉","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5149,"operation_count":2,"complexity_ratio":2574.5,"tree":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":3046,"base":15},"right_expr":{"type":"numeric_atoms","value":2079,"base":15}}},"used_operators":["XIabStNQrY","dWAJyo7jo9"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=3046","layer":2},{"info":"number node, value=2079","layer":2},{"info":"compute binary expreesion, left_input=3046, right_input=2079, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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 = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲D81⪢⫶⩼⫲939⇋≉=NaN","reverse_text":"NaN=⫶⩼⫲D81⪢⫶⩼⫲939⇋≉","cot":[{"info":"⫶⩼⫲D81⪢⫶⩼⫲939=NaN","layer":1},{"info":"NaN⇋≉=NaN","layer":0}]}
{"id":933,"expression_no_base_symbol":"($1775$/$2765$)∸","expression":"(⫶⩼⫲7D5/⫶⩼⫲C45)∸","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":178,"operation_count":2,"complexity_ratio":89.0,"tree":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1775,"base":15},"right_expr":{"type":"numeric_atoms","value":2765,"base":15}}},"used_operators":["o20kRiQErp","XhwjNDsVaA"],"dependent_operators":["tmPS8pqC7x","rysDP5nf3Z"],"result":"⫶⩼⫲BC","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1775","layer":2},{"info":"number node, value=2765","layer":2},{"info":"compute binary expreesion, left_input=1775, right_input=2765, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲7D5/⫶⩼⫲C45)∸=⫶⩼⫲BC","reverse_text":"⫶⩼⫲BC=(⫶⩼⫲7D5/⫶⩼⫲C45)∸","cot":[{"info":"⫶⩼⫲7D5/⫶⩼⫲C45=⫶⩼⫲0","layer":1},{"info":"⫶⩼⫲0∸=⫶⩼⫲BC","layer":0}]}
{"id":934,"expression_no_base_symbol":"(+⊝⨔$1787$)⨳⩥⨓(≤/$3198$)","expression":"(+⊝⨔⫶⩼⫲7E2)⨳⩥⨓(≤/⫶⩼⫲E33)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":44,"operation_count":3,"complexity_ratio":14.666666666666666,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":1787,"base":15}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":3198,"base":15}}},"used_operators":["nCS4ZIUYfx","DhbWaqg5eL","eLAdDNolq6"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z"],"result":"⫶⩼⫲-13C6","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1787","layer":2},{"info":"compute unary expreesion, input=1787, op_id = 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=3198","layer":2},{"info":"compute unary expreesion, input=3198, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-2714","layer":1},{"info":"compute binary expreesion, left_input=1522, right_input=-2714, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-4236","layer":0}],"base":15,"result_base":15,"text":"(+⊝⨔⫶⩼⫲7E2)⨳⩥⨓(≤/⫶⩼⫲E33)=⫶⩼⫲-13C6","reverse_text":"⫶⩼⫲-13C6=(+⊝⨔⫶⩼⫲7E2)⨳⩥⨓(≤/⫶⩼⫲E33)","cot":[{"info":"+⊝⨔⫶⩼⫲7E2=⫶⩼⫲6B7","layer":1},{"info":"≤/⫶⩼⫲E33=⫶⩼⫲-C0E","layer":1},{"info":"⫶⩼⫲6B7⨳⩥⨓⫶⩼⫲-C0E=⫶⩼⫲-13C6","layer":0}]}
{"id":935,"expression_no_base_symbol":"≦∁$5808$+⇶⊼$2463$","expression":"≦∁⫶⩼⫲1AC3+⇶⊼⫶⩼⫲AE3","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2,"operation_count":2,"complexity_ratio":1.0,"tree":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":5808,"base":15},"right_expr":{"type":"numeric_atoms","value":2463,"base":15}}},"used_operators":["9ICcGScMcE","TpPTUOHfaN"],"dependent_operators":["XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=5808","layer":2},{"info":"number node, value=2463","layer":2},{"info":"compute binary expreesion, left_input=5808, right_input=2463, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=nan","layer":0}],"base":15,"result_base":15,"text":"≦∁⫶⩼⫲1AC3+⇶⊼⫶⩼⫲AE3=NaN","reverse_text":"NaN=≦∁⫶⩼⫲1AC3+⇶⊼⫶⩼⫲AE3","cot":[{"info":"⫶⩼⫲1AC3+⇶⊼⫶⩼⫲AE3=NaN","layer":1},{"info":"≦∁NaN=NaN","layer":0}]}
{"id":936,"expression_no_base_symbol":"∥⊫$4238$⨪↰⇹$2576$","expression":"∥⊫⫶⩼⫲13C8⨪↰⇹⫶⩼⫲B6B","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4242,"operation_count":2,"complexity_ratio":2121.0,"tree":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":4238,"base":15},"right_expr":{"type":"numeric_atoms","value":2576,"base":15}}},"used_operators":["P8v4zCKN1o","tmPS8pqC7x"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK"],"result":"⫶⩼⫲17A6","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=4238","layer":2},{"info":"number node, value=2576","layer":2},{"info":"compute binary expreesion, left_input=4238, right_input=2576, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=4238","layer":1},{"info":"compute unary expreesion, input=4238, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=5106","layer":0}],"base":15,"result_base":15,"text":"∥⊫⫶⩼⫲13C8⨪↰⇹⫶⩼⫲B6B=⫶⩼⫲17A6","reverse_text":"⫶⩼⫲17A6=∥⊫⫶⩼⫲13C8⨪↰⇹⫶⩼⫲B6B","cot":[{"info":"⫶⩼⫲13C8⨪↰⇹⫶⩼⫲B6B=⫶⩼⫲13C8","layer":1},{"info":"∥⊫⫶⩼⫲13C8=⫶⩼⫲17A6","layer":0}]}
{"id":937,"expression_no_base_symbol":"(⋗⩬⋾$1788$)⋳⪒($1446$≣⋋)","expression":"(⋗⩬⋾⫶⩼⫲7E3)⋳⪒(⫶⩼⫲666≣⋋)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":524,"operation_count":3,"complexity_ratio":174.66666666666666,"tree":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1788,"base":15}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":1446,"base":15}}},"used_operators":["12rbrZMWeM","DpFCA1CohY","Tcnh7f0tEr"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A"],"result":"⫶⩼⫲-33E5","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1788","layer":2},{"info":"compute unary expreesion, input=1788, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-5364","layer":1},{"info":"number node, value=1446","layer":2},{"info":"compute unary expreesion, input=1446, 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=-5364, right_input=0, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-11015","layer":0}],"base":15,"result_base":15,"text":"(⋗⩬⋾⫶⩼⫲7E3)⋳⪒(⫶⩼⫲666≣⋋)=⫶⩼⫲-33E5","reverse_text":"⫶⩼⫲-33E5=(⋗⩬⋾⫶⩼⫲7E3)⋳⪒(⫶⩼⫲666≣⋋)","cot":[{"info":"⋗⩬⋾⫶⩼⫲7E3=⫶⩼⫲-18C9","layer":1},{"info":"⫶⩼⫲666≣⋋=⫶⩼⫲0","layer":1},{"info":"⫶⩼⫲-18C9⋳⪒⫶⩼⫲0=⫶⩼⫲-33E5","layer":0}]}
{"id":938,"expression_no_base_symbol":"($3930$⊘)≭(⊄⩳↩$1173$)","expression":"(⫶⩼⫲1270⊘)≭(⊄⩳↩⫶⩼⫲533)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":23,"operation_count":3,"complexity_ratio":7.666666666666667,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":3930,"base":15}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1173,"base":15}}},"used_operators":["rxpJgHHUmx","gu96TGCTMs","8w2t5hMYqp"],"dependent_operators":["AHs5Up7iyr","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=3930","layer":2},{"info":"compute unary expreesion, input=3930, 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=1173","layer":2},{"info":"compute unary expreesion, input=1173, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-3519","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-3519, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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":15,"result_base":15,"text":"(⫶⩼⫲1270⊘)≭(⊄⩳↩⫶⩼⫲533)=NaN","reverse_text":"NaN=(⫶⩼⫲1270⊘)≭(⊄⩳↩⫶⩼⫲533)","cot":[{"info":"⫶⩼⫲1270⊘=⫶⩼⫲0","layer":1},{"info":"⊄⩳↩⫶⩼⫲533=⫶⩼⫲-1099","layer":1},{"info":"⫶⩼⫲0≭⫶⩼⫲-1099=NaN","layer":0}]}
{"id":939,"expression_no_base_symbol":"$2519$⨟⋌⩍$5662$≭(⇁⨣⪵$4195$)","expression":"⫶⩼⫲B2E⨟⋌⩍⫶⩼⫲1A27≭(⇁⨣⪵⫶⩼⫲139A)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3,"operation_count":3,"complexity_ratio":1.0,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2519,"base":15},"right_expr":{"type":"numeric_atoms","value":5662,"base":15}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":4195,"base":15}}},"used_operators":["rxpJgHHUmx","rGHVDoGpnC","inkyxCbjAn"],"dependent_operators":["AHs5Up7iyr","Tcnh7f0tEr","B5M0gjZbta"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=2519","layer":2},{"info":"number node, value=5662","layer":2},{"info":"compute binary expreesion, left_input=2519, right_input=5662, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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=4195","layer":2},{"info":"compute unary expreesion, input=4195, 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 = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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":15,"result_base":15,"text":"⫶⩼⫲B2E⨟⋌⩍⫶⩼⫲1A27≭(⇁⨣⪵⫶⩼⫲139A)=NaN","reverse_text":"NaN=⫶⩼⫲B2E⨟⋌⩍⫶⩼⫲1A27≭(⇁⨣⪵⫶⩼⫲139A)","cot":[{"info":"⫶⩼⫲B2E⨟⋌⩍⫶⩼⫲1A27=NaN","layer":1},{"info":"⇁⨣⪵⫶⩼⫲139A=NaN","layer":1},{"info":"NaN≭NaN=NaN","layer":0}]}
{"id":940,"expression_no_base_symbol":"$1123$⨪↰⇹$1513$∑⇟⊟($2345$⩤)","expression":"⫶⩼⫲4ED⨪↰⇹⫶⩼⫲6AD∑⇟⊟(⫶⩼⫲A65⩤)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1125,"operation_count":3,"complexity_ratio":375.0,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1123,"base":15},"right_expr":{"type":"numeric_atoms","value":1513,"base":15}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":2345,"base":15}}},"used_operators":["U7g4x0WXJJ","tmPS8pqC7x","Z2TMIBDE3Q"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1123","layer":2},{"info":"number node, value=1513","layer":2},{"info":"compute binary expreesion, left_input=1123, right_input=1513, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1123","layer":1},{"info":"number node, value=2345","layer":2},{"info":"compute unary expreesion, input=2345, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-2345","layer":1},{"info":"compute binary expreesion, left_input=1123, right_input=-2345, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲4ED⨪↰⇹⫶⩼⫲6AD∑⇟⊟(⫶⩼⫲A65⩤)=NaN","reverse_text":"NaN=⫶⩼⫲4ED⨪↰⇹⫶⩼⫲6AD∑⇟⊟(⫶⩼⫲A65⩤)","cot":[{"info":"⫶⩼⫲4ED⨪↰⇹⫶⩼⫲6AD=⫶⩼⫲4ED","layer":1},{"info":"⫶⩼⫲A65⩤=⫶⩼⫲-A65","layer":1},{"info":"⫶⩼⫲4ED∑⇟⊟⫶⩼⫲-A65=NaN","layer":0}]}
{"id":941,"expression_no_base_symbol":"(+⊝⨔$3472$)⪐","expression":"(+⊝⨔⫶⩼⫲1067)⪐","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":42,"operation_count":2,"complexity_ratio":21.0,"tree":{"type":"unary","operator":"⪐","unary_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":3472,"base":15}}},"used_operators":["eH2TOUuTDT","DhbWaqg5eL"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"⫶⩼⫲D7E","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=3472","layer":2},{"info":"compute unary expreesion, input=3472, op_id = 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 = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=3044","layer":0}],"base":15,"result_base":15,"text":"(+⊝⨔⫶⩼⫲1067)⪐=⫶⩼⫲D7E","reverse_text":"⫶⩼⫲D7E=(+⊝⨔⫶⩼⫲1067)⪐","cot":[{"info":"+⊝⨔⫶⩼⫲1067=⫶⩼⫲6B7","layer":1},{"info":"⫶⩼⫲6B7⪐=⫶⩼⫲D7E","layer":0}]}
{"id":942,"expression_no_base_symbol":"-$1633$⪘⫢$6149$","expression":"-⫶⩼⫲73D⪘⫢⫶⩼⫲1C4E","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":16,"operation_count":2,"complexity_ratio":8.0,"tree":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1633,"base":15},"right_expr":{"type":"numeric_atoms","value":6149,"base":15}}},"used_operators":["t8gj7n24qd","oacrs7FA3X"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"⫶⩼⫲-DE7","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1633","layer":2},{"info":"number node, value=6149","layer":2},{"info":"compute binary expreesion, left_input=1633, right_input=6149, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=3142","layer":1},{"info":"compute unary expreesion, input=3142, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-3142","layer":0}],"base":15,"result_base":15,"text":"-⫶⩼⫲73D⪘⫢⫶⩼⫲1C4E=⫶⩼⫲-DE7","reverse_text":"⫶⩼⫲-DE7=-⫶⩼⫲73D⪘⫢⫶⩼⫲1C4E","cot":[{"info":"⫶⩼⫲73D⪘⫢⫶⩼⫲1C4E=⫶⩼⫲DE7","layer":1},{"info":"-⫶⩼⫲DE7=⫶⩼⫲-DE7","layer":0}]}
{"id":943,"expression_no_base_symbol":"⨞⊢($5082$⩤)","expression":"⨞⊢(⫶⩼⫲178C⩤)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3,"operation_count":2,"complexity_ratio":1.5,"tree":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":5082,"base":15}}},"used_operators":["xUOZtlo3hN","Z2TMIBDE3Q"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⫶⩼⫲16C3","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=5082","layer":2},{"info":"compute unary expreesion, input=5082, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-5082","layer":1},{"info":"compute unary expreesion, input=-5082, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=4908","layer":0}],"base":15,"result_base":15,"text":"⨞⊢(⫶⩼⫲178C⩤)=⫶⩼⫲16C3","reverse_text":"⫶⩼⫲16C3=⨞⊢(⫶⩼⫲178C⩤)","cot":[{"info":"⫶⩼⫲178C⩤=⫶⩼⫲-178C","layer":1},{"info":"⨞⊢⫶⩼⫲-178C=⫶⩼⫲16C3","layer":0}]}
{"id":944,"expression_no_base_symbol":"⨞⊢$5522$⋓$1197$","expression":"⨞⊢⫶⩼⫲1982⋓⫶⩼⫲54C","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":15,"operation_count":2,"complexity_ratio":7.5,"tree":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":5522,"base":15},"right_expr":{"type":"numeric_atoms","value":1197,"base":15}}},"used_operators":["xUOZtlo3hN","T2fj7uvVaJ"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"⫶⩼⫲-B9","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=5522","layer":2},{"info":"number node, value=1197","layer":2},{"info":"compute binary expreesion, left_input=5522, right_input=1197, op_id = T2fj7uvVaJ binary_op_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 = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-174","layer":0}],"base":15,"result_base":15,"text":"⨞⊢⫶⩼⫲1982⋓⫶⩼⫲54C=⫶⩼⫲-B9","reverse_text":"⫶⩼⫲-B9=⨞⊢⫶⩼⫲1982⋓⫶⩼⫲54C","cot":[{"info":"⫶⩼⫲1982⋓⫶⩼⫲54C=⫶⩼⫲0","layer":1},{"info":"⨞⊢⫶⩼⫲0=⫶⩼⫲-B9","layer":0}]}
{"id":945,"expression_no_base_symbol":"($2569$+⇶⊼$1150$)⨟⋌⩍($2227$↬$4673$)","expression":"(⫶⩼⫲B64+⇶⊼⫶⩼⫲51A)⨟⋌⩍(⫶⩼⫲9D7↬⫶⩼⫲15B8)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3,"operation_count":3,"complexity_ratio":1.0,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2569,"base":15},"right_expr":{"type":"numeric_atoms","value":1150,"base":15}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2227,"base":15},"right_expr":{"type":"numeric_atoms","value":4673,"base":15}}},"used_operators":["rGHVDoGpnC","TpPTUOHfaN","B5M0gjZbta"],"dependent_operators":["Tcnh7f0tEr","AHs5Up7iyr","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=2569","layer":2},{"info":"number node, value=1150","layer":2},{"info":"compute binary expreesion, left_input=2569, right_input=1150, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-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=2227","layer":2},{"info":"number node, value=4673","layer":2},{"info":"compute binary expreesion, left_input=2227, right_input=4673, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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 = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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":15,"result_base":15,"text":"(⫶⩼⫲B64+⇶⊼⫶⩼⫲51A)⨟⋌⩍(⫶⩼⫲9D7↬⫶⩼⫲15B8)=NaN","reverse_text":"NaN=(⫶⩼⫲B64+⇶⊼⫶⩼⫲51A)⨟⋌⩍(⫶⩼⫲9D7↬⫶⩼⫲15B8)","cot":[{"info":"⫶⩼⫲B64+⇶⊼⫶⩼⫲51A=NaN","layer":1},{"info":"⫶⩼⫲9D7↬⫶⩼⫲15B8=NaN","layer":1},{"info":"NaN⨟⋌⩍NaN=NaN","layer":0}]}
{"id":946,"expression_no_base_symbol":"$2546$≧⫂∧$1600$≣⋋","expression":"⫶⩼⫲B4B≧⫂∧⫶⩼⫲71A≣⋋","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":515,"operation_count":2,"complexity_ratio":257.5,"tree":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2546,"base":15},"right_expr":{"type":"numeric_atoms","value":1600,"base":15}}},"used_operators":["Tcnh7f0tEr","Ph9nP6C5qx"],"dependent_operators":["dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd"],"result":"⫶⩼⫲0","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=2546","layer":2},{"info":"number node, value=1600","layer":2},{"info":"compute binary expreesion, left_input=2546, right_input=1600, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1127","layer":1},{"info":"compute unary expreesion, input=1127, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲B4B≧⫂∧⫶⩼⫲71A≣⋋=⫶⩼⫲0","reverse_text":"⫶⩼⫲0=⫶⩼⫲B4B≧⫂∧⫶⩼⫲71A≣⋋","cot":[{"info":"⫶⩼⫲B4B≧⫂∧⫶⩼⫲71A=⫶⩼⫲502","layer":1},{"info":"⫶⩼⫲502≣⋋=⫶⩼⫲0","layer":0}]}
{"id":947,"expression_no_base_symbol":"$5201$⇷$5975$⪨≂($1566$⫡⨏$7616$)","expression":"⫶⩼⫲181B⇷⫶⩼⫲1B85⪨≂(⫶⩼⫲6E6⫡⨏⫶⩼⫲23CB)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":72832,"operation_count":3,"complexity_ratio":24277.333333333332,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":5201,"base":15},"right_expr":{"type":"numeric_atoms","value":5975,"base":15}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1566,"base":15},"right_expr":{"type":"numeric_atoms","value":7616,"base":15}}},"used_operators":["sdazOOVcIp","mp7IySMOzn","QMFrweE19q"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd"],"result":"⫶⩼⫲-7043","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=5201","layer":2},{"info":"number node, value=5975","layer":2},{"info":"compute binary expreesion, left_input=5201, right_input=5975, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=11950","layer":1},{"info":"number node, value=1566","layer":2},{"info":"number node, value=7616","layer":2},{"info":"compute binary expreesion, left_input=1566, right_input=7616, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=23845","layer":1},{"info":"compute binary expreesion, left_input=11950, right_input=23845, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-23688","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲181B⇷⫶⩼⫲1B85⪨≂(⫶⩼⫲6E6⫡⨏⫶⩼⫲23CB)=⫶⩼⫲-7043","reverse_text":"⫶⩼⫲-7043=⫶⩼⫲181B⇷⫶⩼⫲1B85⪨≂(⫶⩼⫲6E6⫡⨏⫶⩼⫲23CB)","cot":[{"info":"⫶⩼⫲181B⇷⫶⩼⫲1B85=⫶⩼⫲381A","layer":1},{"info":"⫶⩼⫲6E6⫡⨏⫶⩼⫲23CB=⫶⩼⫲70EA","layer":1},{"info":"⫶⩼⫲381A⪨≂⫶⩼⫲70EA=⫶⩼⫲-7043","layer":0}]}
{"id":948,"expression_no_base_symbol":"$1757$↬$7737$+$2681$⨸⪁$6818$","expression":"⫶⩼⫲7C2↬⫶⩼⫲245C+⫶⩼⫲BDB⨸⪁⫶⩼⫲2048","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5,"operation_count":3,"complexity_ratio":1.6666666666666667,"tree":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1757,"base":15},"right_expr":{"type":"numeric_atoms","value":7737,"base":15}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2681,"base":15},"right_expr":{"type":"numeric_atoms","value":6818,"base":15}}},"used_operators":["W4YGzv6Whe","B5M0gjZbta","g55IO6H4Gj"],"dependent_operators":["rGHVDoGpnC","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1757","layer":2},{"info":"number node, value=7737","layer":2},{"info":"compute binary expreesion, left_input=1757, right_input=7737, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=2681","layer":2},{"info":"number node, value=6818","layer":2},{"info":"compute binary expreesion, left_input=2681, right_input=6818, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=18998","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=18998, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲7C2↬⫶⩼⫲245C+⫶⩼⫲BDB⨸⪁⫶⩼⫲2048=NaN","reverse_text":"NaN=⫶⩼⫲7C2↬⫶⩼⫲245C+⫶⩼⫲BDB⨸⪁⫶⩼⫲2048","cot":[{"info":"⫶⩼⫲7C2↬⫶⩼⫲245C=NaN","layer":1},{"info":"⫶⩼⫲BDB⨸⪁⫶⩼⫲2048=⫶⩼⫲5968","layer":1},{"info":"NaN+⫶⩼⫲5968=NaN","layer":0}]}
{"id":949,"expression_no_base_symbol":"⨞⊢($1129$+$1005$)","expression":"⨞⊢(⫶⩼⫲504+⫶⩼⫲470)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3,"operation_count":2,"complexity_ratio":1.5,"tree":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1129,"base":15},"right_expr":{"type":"numeric_atoms","value":1005,"base":15}}},"used_operators":["xUOZtlo3hN","W4YGzv6Whe"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd"],"result":"⫶⩼⫲-A3D","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1129","layer":2},{"info":"number node, value=1005","layer":2},{"info":"compute binary expreesion, left_input=1129, right_input=1005, op_id = W4YGzv6Whe binary_op_definition= 'None', output=2134","layer":1},{"info":"compute unary expreesion, input=2134, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-2308","layer":0}],"base":15,"result_base":15,"text":"⨞⊢(⫶⩼⫲504+⫶⩼⫲470)=⫶⩼⫲-A3D","reverse_text":"⫶⩼⫲-A3D=⨞⊢(⫶⩼⫲504+⫶⩼⫲470)","cot":[{"info":"⫶⩼⫲504+⫶⩼⫲470=⫶⩼⫲974","layer":1},{"info":"⨞⊢⫶⩼⫲974=⫶⩼⫲-A3D","layer":0}]}
{"id":950,"expression_no_base_symbol":"$3732$⋓$6742$⊭↱$5181$⩚⊴⇥$2042$","expression":"⫶⩼⫲118C⋓⫶⩼⫲1EE7⊭↱⫶⩼⫲1806⩚⊴⇥⫶⩼⫲912","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":22,"operation_count":3,"complexity_ratio":7.333333333333333,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":3732,"base":15},"right_expr":{"type":"numeric_atoms","value":6742,"base":15}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":5181,"base":15},"right_expr":{"type":"numeric_atoms","value":2042,"base":15}}},"used_operators":["COABgblf1C","T2fj7uvVaJ","NTOWxs364D"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"⫶⩼⫲-453D","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=3732","layer":2},{"info":"number node, value=6742","layer":2},{"info":"compute binary expreesion, left_input=3732, right_input=6742, op_id = T2fj7uvVaJ binary_op_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=5181","layer":2},{"info":"number node, value=2042","layer":2},{"info":"compute binary expreesion, left_input=5181, right_input=2042, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-7344","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-7344, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-14683","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲118C⋓⫶⩼⫲1EE7⊭↱⫶⩼⫲1806⩚⊴⇥⫶⩼⫲912=⫶⩼⫲-453D","reverse_text":"⫶⩼⫲-453D=⫶⩼⫲118C⋓⫶⩼⫲1EE7⊭↱⫶⩼⫲1806⩚⊴⇥⫶⩼⫲912","cot":[{"info":"⫶⩼⫲118C⋓⫶⩼⫲1EE7=⫶⩼⫲0","layer":1},{"info":"⫶⩼⫲1806⩚⊴⇥⫶⩼⫲912=⫶⩼⫲-2299","layer":1},{"info":"⫶⩼⫲0⊭↱⫶⩼⫲-2299=⫶⩼⫲-453D","layer":0}]}
{"id":951,"expression_no_base_symbol":"($2233$⇋≉)∑⇟⊟$1019$∼$2676$","expression":"(⫶⩼⫲9DD⇋≉)∑⇟⊟⫶⩼⫲47E∼⫶⩼⫲BD6","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":25,"operation_count":3,"complexity_ratio":8.333333333333334,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":2233,"base":15}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1019,"base":15},"right_expr":{"type":"numeric_atoms","value":2676,"base":15}}},"used_operators":["U7g4x0WXJJ","XIabStNQrY","DyGG3AbaNP"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2233","layer":2},{"info":"compute unary expreesion, input=2233, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=4368","layer":1},{"info":"number node, value=1019","layer":2},{"info":"number node, value=2676","layer":2},{"info":"compute binary expreesion, left_input=1019, right_input=2676, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=4368, right_input=nan, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲9DD⇋≉)∑⇟⊟⫶⩼⫲47E∼⫶⩼⫲BD6=NaN","reverse_text":"NaN=(⫶⩼⫲9DD⇋≉)∑⇟⊟⫶⩼⫲47E∼⫶⩼⫲BD6","cot":[{"info":"⫶⩼⫲9DD⇋≉=⫶⩼⫲1463","layer":1},{"info":"⫶⩼⫲47E∼⫶⩼⫲BD6=NaN","layer":1},{"info":"⫶⩼⫲1463∑⇟⊟NaN=NaN","layer":0}]}
{"id":952,"expression_no_base_symbol":"($5944$≫≃)⇷$1657$⪘⫢$1562$","expression":"(⫶⩼⫲1B64≫≃)⇷⫶⩼⫲757⪘⫢⫶⩼⫲6E2","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":186074,"operation_count":3,"complexity_ratio":62024.666666666664,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":5944,"base":15}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1657,"base":15},"right_expr":{"type":"numeric_atoms","value":1562,"base":15}}},"used_operators":["mp7IySMOzn","X99M06cbEe","oacrs7FA3X"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"⫶⩼⫲1D55","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=5944","layer":2},{"info":"compute unary expreesion, input=5944, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=13289","layer":1},{"info":"number node, value=1657","layer":2},{"info":"number node, value=1562","layer":2},{"info":"compute binary expreesion, left_input=1657, right_input=1562, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=3190","layer":1},{"info":"compute binary expreesion, left_input=13289, right_input=3190, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=6380","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲1B64≫≃)⇷⫶⩼⫲757⪘⫢⫶⩼⫲6E2=⫶⩼⫲1D55","reverse_text":"⫶⩼⫲1D55=(⫶⩼⫲1B64≫≃)⇷⫶⩼⫲757⪘⫢⫶⩼⫲6E2","cot":[{"info":"⫶⩼⫲1B64≫≃=⫶⩼⫲3E0E","layer":1},{"info":"⫶⩼⫲757⪘⫢⫶⩼⫲6E2=⫶⩼⫲E2A","layer":1},{"info":"⫶⩼⫲3E0E⇷⫶⩼⫲E2A=⫶⩼⫲1D55","layer":0}]}
{"id":953,"expression_no_base_symbol":"(⊙↵-$1921$)⪘⫢$2233$⇷$1873$","expression":"(⊙↵-⫶⩼⫲881)⪘⫢⫶⩼⫲9DD⇷⫶⩼⫲84D","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":33253,"operation_count":3,"complexity_ratio":11084.333333333334,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1921,"base":15}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2233,"base":15},"right_expr":{"type":"numeric_atoms","value":1873,"base":15}}},"used_operators":["oacrs7FA3X","oWn0xqSxBt","mp7IySMOzn"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"⫶⩼⫲-525","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1921","layer":2},{"info":"compute unary expreesion, input=1921, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":1},{"info":"number node, value=2233","layer":2},{"info":"number node, value=1873","layer":2},{"info":"compute binary expreesion, left_input=2233, right_input=1873, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3746","layer":1},{"info":"compute binary expreesion, left_input=-1, right_input=3746, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=-1160","layer":0}],"base":15,"result_base":15,"text":"(⊙↵-⫶⩼⫲881)⪘⫢⫶⩼⫲9DD⇷⫶⩼⫲84D=⫶⩼⫲-525","reverse_text":"⫶⩼⫲-525=(⊙↵-⫶⩼⫲881)⪘⫢⫶⩼⫲9DD⇷⫶⩼⫲84D","cot":[{"info":"⊙↵-⫶⩼⫲881=⫶⩼⫲-1","layer":1},{"info":"⫶⩼⫲9DD⇷⫶⩼⫲84D=⫶⩼⫲119B","layer":1},{"info":"⫶⩼⫲-1⪘⫢⫶⩼⫲119B=⫶⩼⫲-525","layer":0}]}
{"id":954,"expression_no_base_symbol":"$3803$∀⇚≩$4098$⪄(⫓⪴$2231$)","expression":"⫶⩼⫲11D8∀⇚≩⫶⩼⫲1333⪄(⫓⪴⫶⩼⫲9DB)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":28874,"operation_count":3,"complexity_ratio":9624.666666666666,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":3803,"base":15},"right_expr":{"type":"numeric_atoms","value":4098,"base":15}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":2231,"base":15}}},"used_operators":["SUmda5xLS4","LRNGc0VcxI","eLxqMNBOBk"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","X99M06cbEe","9HNa5Wba9A"],"result":"⫶⩼⫲12A4","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=3803","layer":2},{"info":"number node, value=4098","layer":2},{"info":"compute binary expreesion, left_input=3803, right_input=4098, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=2231","layer":2},{"info":"compute unary expreesion, input=2231, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=4977361","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=4977361, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲11D8∀⇚≩⫶⩼⫲1333⪄(⫓⪴⫶⩼⫲9DB)=⫶⩼⫲12A4","reverse_text":"⫶⩼⫲12A4=⫶⩼⫲11D8∀⇚≩⫶⩼⫲1333⪄(⫓⪴⫶⩼⫲9DB)","cot":[{"info":"⫶⩼⫲11D8∀⇚≩⫶⩼⫲1333=NaN","layer":1},{"info":"⫓⪴⫶⩼⫲9DB=⫶⩼⫲684B91","layer":1},{"info":"NaN⪄⫶⩼⫲684B91=⫶⩼⫲12A4","layer":0}]}
{"id":955,"expression_no_base_symbol":"($1076$⪘⫢$1255$)⇷(⨑⩽⪐$3057$)","expression":"(⫶⩼⫲4BB⪘⫢⫶⩼⫲58A)⇷(⨑⩽⪐⫶⩼⫲D8C)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":28419,"operation_count":3,"complexity_ratio":9473.0,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1076,"base":15},"right_expr":{"type":"numeric_atoms","value":1255,"base":15}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":3057,"base":15}}},"used_operators":["mp7IySMOzn","oacrs7FA3X","AF7qkfDlqP"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1076","layer":2},{"info":"number node, value=1255","layer":2},{"info":"compute binary expreesion, left_input=1076, right_input=1255, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2028","layer":1},{"info":"number node, value=3057","layer":2},{"info":"compute unary expreesion, input=3057, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-2784","layer":1},{"info":"compute binary expreesion, left_input=2028, right_input=-2784, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲4BB⪘⫢⫶⩼⫲58A)⇷(⨑⩽⪐⫶⩼⫲D8C)=NaN","reverse_text":"NaN=(⫶⩼⫲4BB⪘⫢⫶⩼⫲58A)⇷(⨑⩽⪐⫶⩼⫲D8C)","cot":[{"info":"⫶⩼⫲4BB⪘⫢⫶⩼⫲58A=⫶⩼⫲903","layer":1},{"info":"⨑⩽⪐⫶⩼⫲D8C=⫶⩼⫲-C59","layer":1},{"info":"⫶⩼⫲903⇷⫶⩼⫲-C59=NaN","layer":0}]}
{"id":956,"expression_no_base_symbol":"($5226$↙$8654$)⨎$1866$⋓$2854$","expression":"(⫶⩼⫲1836↙⫶⩼⫲286E)⨎⫶⩼⫲846⋓⫶⩼⫲CA4","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":8671,"operation_count":3,"complexity_ratio":2890.3333333333335,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":5226,"base":15},"right_expr":{"type":"numeric_atoms","value":8654,"base":15}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1866,"base":15},"right_expr":{"type":"numeric_atoms","value":2854,"base":15}}},"used_operators":["rJVOvQCfKK","yyfyN0ffXY","T2fj7uvVaJ"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","tmPS8pqC7x","DpFCA1CohY","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"⫶⩼⫲0","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=5226","layer":2},{"info":"number node, value=8654","layer":2},{"info":"compute binary expreesion, left_input=5226, right_input=8654, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-25962","layer":1},{"info":"number node, value=1866","layer":2},{"info":"number node, value=2854","layer":2},{"info":"compute binary expreesion, left_input=1866, right_input=2854, op_id = T2fj7uvVaJ binary_op_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=-25962, 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":15,"result_base":15,"text":"(⫶⩼⫲1836↙⫶⩼⫲286E)⨎⫶⩼⫲846⋓⫶⩼⫲CA4=⫶⩼⫲0","reverse_text":"⫶⩼⫲0=(⫶⩼⫲1836↙⫶⩼⫲286E)⨎⫶⩼⫲846⋓⫶⩼⫲CA4","cot":[{"info":"⫶⩼⫲1836↙⫶⩼⫲286E=⫶⩼⫲-7A5C","layer":1},{"info":"⫶⩼⫲846⋓⫶⩼⫲CA4=⫶⩼⫲0","layer":1},{"info":"⫶⩼⫲-7A5C⨎⫶⩼⫲0=⫶⩼⫲0","layer":0}]}
{"id":957,"expression_no_base_symbol":"∥⊫$1955$⋥≓≎$1899$","expression":"∥⊫⫶⩼⫲8A5⋥≓≎⫶⩼⫲869","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":8,"operation_count":2,"complexity_ratio":4.0,"tree":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1955,"base":15},"right_expr":{"type":"numeric_atoms","value":1899,"base":15}}},"used_operators":["P8v4zCKN1o","Qy55tPpLXF"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⫶⩼⫲C2E","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1955","layer":2},{"info":"number node, value=1899","layer":2},{"info":"compute binary expreesion, left_input=1955, right_input=1899, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=1876","layer":1},{"info":"compute unary expreesion, input=1876, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2744","layer":0}],"base":15,"result_base":15,"text":"∥⊫⫶⩼⫲8A5⋥≓≎⫶⩼⫲869=⫶⩼⫲C2E","reverse_text":"⫶⩼⫲C2E=∥⊫⫶⩼⫲8A5⋥≓≎⫶⩼⫲869","cot":[{"info":"⫶⩼⫲8A5⋥≓≎⫶⩼⫲869=⫶⩼⫲851","layer":1},{"info":"∥⊫⫶⩼⫲851=⫶⩼⫲C2E","layer":0}]}
{"id":958,"expression_no_base_symbol":"$5659$⨓$2729$⫡⨏$1065$-$6154$","expression":"⫶⩼⫲1A24⨓⫶⩼⫲C1E⫡⨏⫶⩼⫲4B0-⫶⩼⫲1C54","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2743,"operation_count":3,"complexity_ratio":914.3333333333334,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":5659,"base":15},"right_expr":{"type":"numeric_atoms","value":2729,"base":15}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1065,"base":15},"right_expr":{"type":"numeric_atoms","value":6154,"base":15}}},"used_operators":["QMFrweE19q","3ViojmjbAp","rysDP5nf3Z"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"⫶⩼⫲-6C70","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=5659","layer":2},{"info":"number node, value=2729","layer":2},{"info":"compute binary expreesion, left_input=5659, right_input=2729, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2732","layer":1},{"info":"number node, value=1065","layer":2},{"info":"number node, value=6154","layer":2},{"info":"compute binary expreesion, left_input=1065, right_input=6154, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-5089","layer":1},{"info":"compute binary expreesion, left_input=-2732, right_input=-5089, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=-23055","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲1A24⨓⫶⩼⫲C1E⫡⨏⫶⩼⫲4B0-⫶⩼⫲1C54=⫶⩼⫲-6C70","reverse_text":"⫶⩼⫲-6C70=⫶⩼⫲1A24⨓⫶⩼⫲C1E⫡⨏⫶⩼⫲4B0-⫶⩼⫲1C54","cot":[{"info":"⫶⩼⫲1A24⨓⫶⩼⫲C1E=⫶⩼⫲-C22","layer":1},{"info":"⫶⩼⫲4B0-⫶⩼⫲1C54=⫶⩼⫲-1794","layer":1},{"info":"⫶⩼⫲-C22⫡⨏⫶⩼⫲-1794=⫶⩼⫲-6C70","layer":0}]}
{"id":959,"expression_no_base_symbol":"+⊝⨔($6572$↛⩡⫤)","expression":"+⊝⨔(⫶⩼⫲1E32↛⩡⫤)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":19870,"operation_count":2,"complexity_ratio":9935.0,"tree":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":6572,"base":15}}},"used_operators":["DhbWaqg5eL","FU0Cs4j7VP"],"dependent_operators":["dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X"],"result":"⫶⩼⫲6B7","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=6572","layer":2},{"info":"compute unary expreesion, input=6572, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-988461","layer":1},{"info":"compute unary expreesion, input=-988461, op_id = 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":15,"result_base":15,"text":"+⊝⨔(⫶⩼⫲1E32↛⩡⫤)=⫶⩼⫲6B7","reverse_text":"⫶⩼⫲6B7=+⊝⨔(⫶⩼⫲1E32↛⩡⫤)","cot":[{"info":"⫶⩼⫲1E32↛⩡⫤=⫶⩼⫲-147D26","layer":1},{"info":"+⊝⨔⫶⩼⫲-147D26=⫶⩼⫲6B7","layer":0}]}
{"id":960,"expression_no_base_symbol":"($7503$⪨≂$1038$)⨳⩥⨓(⨑⩽⪐$2690$)","expression":"(⫶⩼⫲2353⪨≂⫶⩼⫲493)⨳⩥⨓(⨑⩽⪐⫶⩼⫲BE5)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":12,"operation_count":3,"complexity_ratio":4.0,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":7503,"base":15},"right_expr":{"type":"numeric_atoms","value":1038,"base":15}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":2690,"base":15}}},"used_operators":["nCS4ZIUYfx","sdazOOVcIp","AF7qkfDlqP"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"⫶⩼⫲-489E","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=7503","layer":2},{"info":"number node, value=1038","layer":2},{"info":"compute binary expreesion, left_input=7503, right_input=1038, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=13032","layer":1},{"info":"number node, value=2690","layer":2},{"info":"compute unary expreesion, input=2690, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-2417","layer":1},{"info":"compute binary expreesion, left_input=13032, right_input=-2417, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-15449","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲2353⪨≂⫶⩼⫲493)⨳⩥⨓(⨑⩽⪐⫶⩼⫲BE5)=⫶⩼⫲-489E","reverse_text":"⫶⩼⫲-489E=(⫶⩼⫲2353⪨≂⫶⩼⫲493)⨳⩥⨓(⨑⩽⪐⫶⩼⫲BE5)","cot":[{"info":"⫶⩼⫲2353⪨≂⫶⩼⫲493=⫶⩼⫲3CDC","layer":1},{"info":"⨑⩽⪐⫶⩼⫲BE5=⫶⩼⫲-AB2","layer":1},{"info":"⫶⩼⫲3CDC⨳⩥⨓⫶⩼⫲-AB2=⫶⩼⫲-489E","layer":0}]}
{"id":961,"expression_no_base_symbol":"⊄⩳↩($1774$%$2725$)","expression":"⊄⩳↩(⫶⩼⫲7D4%⫶⩼⫲C1A)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4,"operation_count":2,"complexity_ratio":2.0,"tree":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1774,"base":15},"right_expr":{"type":"numeric_atoms","value":2725,"base":15}}},"used_operators":["8w2t5hMYqp","k8jYdgA6NY"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"⫶⩼⫲-189C","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1774","layer":2},{"info":"number node, value=2725","layer":2},{"info":"compute binary expreesion, left_input=1774, right_input=2725, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1774","layer":1},{"info":"compute unary expreesion, input=1774, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-5322","layer":0}],"base":15,"result_base":15,"text":"⊄⩳↩(⫶⩼⫲7D4%⫶⩼⫲C1A)=⫶⩼⫲-189C","reverse_text":"⫶⩼⫲-189C=⊄⩳↩(⫶⩼⫲7D4%⫶⩼⫲C1A)","cot":[{"info":"⫶⩼⫲7D4%⫶⩼⫲C1A=⫶⩼⫲7D4","layer":1},{"info":"⊄⩳↩⫶⩼⫲7D4=⫶⩼⫲-189C","layer":0}]}
{"id":962,"expression_no_base_symbol":"($1593$⋷$2834$)⇷($1397$⋳⪒$2383$)","expression":"(⫶⩼⫲713⋷⫶⩼⫲C8E)⇷(⫶⩼⫲632⋳⪒⫶⩼⫲A8D)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":57066,"operation_count":3,"complexity_ratio":19022.0,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1593,"base":15},"right_expr":{"type":"numeric_atoms","value":2834,"base":15}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1397,"base":15},"right_expr":{"type":"numeric_atoms","value":2383,"base":15}}},"used_operators":["mp7IySMOzn","23Mk6UjR3U","12rbrZMWeM"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"⫶⩼⫲118","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1593","layer":2},{"info":"number node, value=2834","layer":2},{"info":"compute binary expreesion, left_input=1593, right_input=2834, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=4075","layer":1},{"info":"number node, value=1397","layer":2},{"info":"number node, value=2383","layer":2},{"info":"compute binary expreesion, left_input=1397, right_input=2383, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=124","layer":1},{"info":"compute binary expreesion, left_input=4075, right_input=124, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=248","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲713⋷⫶⩼⫲C8E)⇷(⫶⩼⫲632⋳⪒⫶⩼⫲A8D)=⫶⩼⫲118","reverse_text":"⫶⩼⫲118=(⫶⩼⫲713⋷⫶⩼⫲C8E)⇷(⫶⩼⫲632⋳⪒⫶⩼⫲A8D)","cot":[{"info":"⫶⩼⫲713⋷⫶⩼⫲C8E=⫶⩼⫲131A","layer":1},{"info":"⫶⩼⫲632⋳⪒⫶⩼⫲A8D=⫶⩼⫲84","layer":1},{"info":"⫶⩼⫲131A⇷⫶⩼⫲84=⫶⩼⫲118","layer":0}]}
{"id":963,"expression_no_base_symbol":"($4879$%$6962$)⩨$2241$⫥∨⫟$9417$","expression":"(⫶⩼⫲16A4%⫶⩼⫲20E2)⩨⫶⩼⫲9E6⫥∨⫟⫶⩼⫲2BCC","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":159,"operation_count":3,"complexity_ratio":53.0,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":4879,"base":15},"right_expr":{"type":"numeric_atoms","value":6962,"base":15}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2241,"base":15},"right_expr":{"type":"numeric_atoms","value":9417,"base":15}}},"used_operators":["2DlMacCsIx","k8jYdgA6NY","KYD54nUTWz"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=4879","layer":2},{"info":"number node, value=6962","layer":2},{"info":"compute binary expreesion, left_input=4879, right_input=6962, op_id = k8jYdgA6NY binary_op_definition= 'None', output=4879","layer":1},{"info":"number node, value=2241","layer":2},{"info":"number node, value=9417","layer":2},{"info":"compute binary expreesion, left_input=2241, right_input=9417, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=4879, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲16A4%⫶⩼⫲20E2)⩨⫶⩼⫲9E6⫥∨⫟⫶⩼⫲2BCC=NaN","reverse_text":"NaN=(⫶⩼⫲16A4%⫶⩼⫲20E2)⩨⫶⩼⫲9E6⫥∨⫟⫶⩼⫲2BCC","cot":[{"info":"⫶⩼⫲16A4%⫶⩼⫲20E2=⫶⩼⫲16A4","layer":1},{"info":"⫶⩼⫲9E6⫥∨⫟⫶⩼⫲2BCC=NaN","layer":1},{"info":"⫶⩼⫲16A4⩨NaN=NaN","layer":0}]}
{"id":964,"expression_no_base_symbol":"($4645$*$5283$)∼($2548$⊉≛↸$7299$)","expression":"(⫶⩼⫲159A*⫶⩼⫲1873)∼(⫶⩼⫲B4D⊉≛↸⫶⩼⫲2269)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":485816,"operation_count":3,"complexity_ratio":161938.66666666666,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":4645,"base":15},"right_expr":{"type":"numeric_atoms","value":5283,"base":15}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2548,"base":15},"right_expr":{"type":"numeric_atoms","value":7299,"base":15}}},"used_operators":["DyGG3AbaNP","9HNa5Wba9A","DZ8iAZOCBD"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=4645","layer":2},{"info":"number node, value=5283","layer":2},{"info":"compute binary expreesion, left_input=4645, right_input=5283, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=24539535","layer":1},{"info":"number node, value=2548","layer":2},{"info":"number node, value=7299","layer":2},{"info":"compute binary expreesion, left_input=2548, right_input=7299, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=5096","layer":1},{"info":"compute binary expreesion, left_input=24539535, right_input=5096, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲159A*⫶⩼⫲1873)∼(⫶⩼⫲B4D⊉≛↸⫶⩼⫲2269)=NaN","reverse_text":"NaN=(⫶⩼⫲159A*⫶⩼⫲1873)∼(⫶⩼⫲B4D⊉≛↸⫶⩼⫲2269)","cot":[{"info":"⫶⩼⫲159A*⫶⩼⫲1873=⫶⩼⫲224AE90","layer":1},{"info":"⫶⩼⫲B4D⊉≛↸⫶⩼⫲2269=⫶⩼⫲179B","layer":1},{"info":"⫶⩼⫲224AE90∼⫶⩼⫲179B=NaN","layer":0}]}
{"id":965,"expression_no_base_symbol":"($5179$⋝⋈⪟$4643$)⪘⫢(+⊝⨔$4052$)","expression":"(⫶⩼⫲1804⋝⋈⪟⫶⩼⫲1598)⪘⫢(+⊝⨔⫶⩼⫲1302)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":58,"operation_count":3,"complexity_ratio":19.333333333333332,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":5179,"base":15},"right_expr":{"type":"numeric_atoms","value":4643,"base":15}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":4052,"base":15}}},"used_operators":["oacrs7FA3X","2DDjHMKMc0","DhbWaqg5eL"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"⫶⩼⫲3074","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=5179","layer":2},{"info":"number node, value=4643","layer":2},{"info":"compute binary expreesion, left_input=5179, right_input=4643, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=5179","layer":1},{"info":"number node, value=4052","layer":2},{"info":"compute unary expreesion, input=4052, op_id = 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=5179, right_input=1522, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=10234","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲1804⋝⋈⪟⫶⩼⫲1598)⪘⫢(+⊝⨔⫶⩼⫲1302)=⫶⩼⫲3074","reverse_text":"⫶⩼⫲3074=(⫶⩼⫲1804⋝⋈⪟⫶⩼⫲1598)⪘⫢(+⊝⨔⫶⩼⫲1302)","cot":[{"info":"⫶⩼⫲1804⋝⋈⪟⫶⩼⫲1598=⫶⩼⫲1804","layer":1},{"info":"+⊝⨔⫶⩼⫲1302=⫶⩼⫲6B7","layer":1},{"info":"⫶⩼⫲1804⪘⫢⫶⩼⫲6B7=⫶⩼⫲3074","layer":0}]}
{"id":966,"expression_no_base_symbol":"(⊙↵-$3119$)⋓(↣≠⋷$4283$)","expression":"(⊙↵-⫶⩼⫲DCE)⋓(↣≠⋷⫶⩼⫲1408)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3181,"operation_count":3,"complexity_ratio":1060.3333333333333,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":3119,"base":15}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":4283,"base":15}}},"used_operators":["T2fj7uvVaJ","oWn0xqSxBt","Asc51vEJeQ"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","XhwjNDsVaA","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=3119","layer":2},{"info":"compute unary expreesion, input=3119, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":1},{"info":"number node, value=4283","layer":2},{"info":"compute unary expreesion, input=4283, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":1},{"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":0}],"base":15,"result_base":15,"text":"(⊙↵-⫶⩼⫲DCE)⋓(↣≠⋷⫶⩼⫲1408)=NaN","reverse_text":"NaN=(⊙↵-⫶⩼⫲DCE)⋓(↣≠⋷⫶⩼⫲1408)","cot":[{"info":"⊙↵-⫶⩼⫲DCE=⫶⩼⫲-1","layer":1},{"info":"↣≠⋷⫶⩼⫲1408=NaN","layer":1},{"info":"⫶⩼⫲-1⋓NaN=NaN","layer":0}]}
{"id":967,"expression_no_base_symbol":"$2239$⩚⊴⇥$7038$≣⋋","expression":"⫶⩼⫲9E4⩚⊴⇥⫶⩼⫲2143≣⋋","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":517,"operation_count":2,"complexity_ratio":258.5,"tree":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2239,"base":15},"right_expr":{"type":"numeric_atoms","value":7038,"base":15}}},"used_operators":["Tcnh7f0tEr","NTOWxs364D"],"dependent_operators":["dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"⫶⩼⫲0","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2239","layer":2},{"info":"number node, value=7038","layer":2},{"info":"compute binary expreesion, left_input=2239, right_input=7038, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-9398","layer":1},{"info":"compute unary expreesion, input=-9398, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲9E4⩚⊴⇥⫶⩼⫲2143≣⋋=⫶⩼⫲0","reverse_text":"⫶⩼⫲0=⫶⩼⫲9E4⩚⊴⇥⫶⩼⫲2143≣⋋","cot":[{"info":"⫶⩼⫲9E4⩚⊴⇥⫶⩼⫲2143=⫶⩼⫲-2BB8","layer":1},{"info":"⫶⩼⫲-2BB8≣⋋=⫶⩼⫲0","layer":0}]}
{"id":968,"expression_no_base_symbol":"($1781$⊉≛↸$4665$)⨟⋌⩍($8257$⫩⊇)","expression":"(⫶⩼⫲7DB⊉≛↸⫶⩼⫲15B0)⨟⋌⩍(⫶⩼⫲26A7⫩⊇)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5,"operation_count":3,"complexity_ratio":1.6666666666666667,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1781,"base":15},"right_expr":{"type":"numeric_atoms","value":4665,"base":15}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":8257,"base":15}}},"used_operators":["rGHVDoGpnC","DZ8iAZOCBD","BjRHVeLaeN"],"dependent_operators":["Tcnh7f0tEr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1781","layer":2},{"info":"number node, value=4665","layer":2},{"info":"compute binary expreesion, left_input=1781, right_input=4665, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3562","layer":1},{"info":"number node, value=8257","layer":2},{"info":"compute unary expreesion, input=8257, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-8215","layer":1},{"info":"compute binary expreesion, left_input=3562, right_input=-8215, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(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":15,"result_base":15,"text":"(⫶⩼⫲7DB⊉≛↸⫶⩼⫲15B0)⨟⋌⩍(⫶⩼⫲26A7⫩⊇)=NaN","reverse_text":"NaN=(⫶⩼⫲7DB⊉≛↸⫶⩼⫲15B0)⨟⋌⩍(⫶⩼⫲26A7⫩⊇)","cot":[{"info":"⫶⩼⫲7DB⊉≛↸⫶⩼⫲15B0=⫶⩼⫲10C7","layer":1},{"info":"⫶⩼⫲26A7⫩⊇=⫶⩼⫲-267A","layer":1},{"info":"⫶⩼⫲10C7⨟⋌⩍⫶⩼⫲-267A=NaN","layer":0}]}
{"id":969,"expression_no_base_symbol":"$1043$⩷∴$4005$⫡⨏$3632$*$6275$","expression":"⫶⩼⫲498⩷∴⫶⩼⫲12C0⫡⨏⫶⩼⫲1122*⫶⩼⫲1CD5","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3645,"operation_count":3,"complexity_ratio":1215.0,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1043,"base":15},"right_expr":{"type":"numeric_atoms","value":4005,"base":15}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":3632,"base":15},"right_expr":{"type":"numeric_atoms","value":6275,"base":15}}},"used_operators":["QMFrweE19q","9FxExcQeMw","9HNa5Wba9A"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe"],"result":"⫶⩼⫲3EEC103","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1043","layer":2},{"info":"number node, value=4005","layer":2},{"info":"compute binary expreesion, left_input=1043, right_input=4005, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-5956","layer":1},{"info":"number node, value=3632","layer":2},{"info":"number node, value=6275","layer":2},{"info":"compute binary expreesion, left_input=3632, right_input=6275, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=22790800","layer":1},{"info":"compute binary expreesion, left_input=-5956, right_input=22790800, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=45552603","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲498⩷∴⫶⩼⫲12C0⫡⨏⫶⩼⫲1122*⫶⩼⫲1CD5=⫶⩼⫲3EEC103","reverse_text":"⫶⩼⫲3EEC103=⫶⩼⫲498⩷∴⫶⩼⫲12C0⫡⨏⫶⩼⫲1122*⫶⩼⫲1CD5","cot":[{"info":"⫶⩼⫲498⩷∴⫶⩼⫲12C0=⫶⩼⫲-1B71","layer":1},{"info":"⫶⩼⫲1122*⫶⩼⫲1CD5=⫶⩼⫲2002C6A","layer":1},{"info":"⫶⩼⫲-1B71⫡⨏⫶⩼⫲2002C6A=⫶⩼⫲3EEC103","layer":0}]}
{"id":970,"expression_no_base_symbol":"($1199$↺$1846$)⋫","expression":"(⫶⩼⫲54E↺⫶⩼⫲831)⋫","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1848,"operation_count":2,"complexity_ratio":924.0,"tree":{"type":"unary","operator":"⋫","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1199,"base":15},"right_expr":{"type":"numeric_atoms","value":1846,"base":15}}},"used_operators":["JL8yIekQnl","7j4O788W3g"],"dependent_operators":["tmPS8pqC7x","rysDP5nf3Z","t8gj7n24qd"],"result":"⫶⩼⫲831","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1199","layer":2},{"info":"number node, value=1846","layer":2},{"info":"compute binary expreesion, left_input=1199, right_input=1846, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1846","layer":1},{"info":"compute unary expreesion, input=1846, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=1846","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲54E↺⫶⩼⫲831)⋫=⫶⩼⫲831","reverse_text":"⫶⩼⫲831=(⫶⩼⫲54E↺⫶⩼⫲831)⋫","cot":[{"info":"⫶⩼⫲54E↺⫶⩼⫲831=⫶⩼⫲831","layer":1},{"info":"⫶⩼⫲831⋫=⫶⩼⫲831","layer":0}]}
{"id":971,"expression_no_base_symbol":"($7148$⇷$1382$)↬($7451$⇋≉)","expression":"(⫶⩼⫲21B8⇷⫶⩼⫲622)↬(⫶⩼⫲231B⇋≉)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":100082,"operation_count":3,"complexity_ratio":33360.666666666664,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":7148,"base":15},"right_expr":{"type":"numeric_atoms","value":1382,"base":15}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":7451,"base":15}}},"used_operators":["B5M0gjZbta","mp7IySMOzn","XIabStNQrY"],"dependent_operators":["rGHVDoGpnC","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=7148","layer":2},{"info":"number node, value=1382","layer":2},{"info":"compute binary expreesion, left_input=7148, right_input=1382, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2764","layer":1},{"info":"number node, value=7451","layer":2},{"info":"compute unary expreesion, input=7451, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=14804","layer":1},{"info":"compute binary expreesion, left_input=2764, right_input=14804, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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":15,"result_base":15,"text":"(⫶⩼⫲21B8⇷⫶⩼⫲622)↬(⫶⩼⫲231B⇋≉)=NaN","reverse_text":"NaN=(⫶⩼⫲21B8⇷⫶⩼⫲622)↬(⫶⩼⫲231B⇋≉)","cot":[{"info":"⫶⩼⫲21B8⇷⫶⩼⫲622=⫶⩼⫲C44","layer":1},{"info":"⫶⩼⫲231B⇋≉=⫶⩼⫲45BE","layer":1},{"info":"⫶⩼⫲C44↬⫶⩼⫲45BE=NaN","layer":0}]}
{"id":972,"expression_no_base_symbol":"$4705$↬$3653$⪄$3282$⪛$7699$","expression":"⫶⩼⫲15DA↬⫶⩼⫲1138⪄⫶⩼⫲E8C⪛⫶⩼⫲2434","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":27,"operation_count":3,"complexity_ratio":9.0,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":4705,"base":15},"right_expr":{"type":"numeric_atoms","value":3653,"base":15}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":3282,"base":15},"right_expr":{"type":"numeric_atoms","value":7699,"base":15}}},"used_operators":["SUmda5xLS4","B5M0gjZbta","uFcxV4UQCh"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rGHVDoGpnC","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"⫶⩼⫲12A4","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=4705","layer":2},{"info":"number node, value=3653","layer":2},{"info":"compute binary expreesion, left_input=4705, right_input=3653, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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=3282","layer":2},{"info":"number node, value=7699","layer":2},{"info":"compute binary expreesion, left_input=3282, right_input=7699, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=3282","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=3282, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲15DA↬⫶⩼⫲1138⪄⫶⩼⫲E8C⪛⫶⩼⫲2434=⫶⩼⫲12A4","reverse_text":"⫶⩼⫲12A4=⫶⩼⫲15DA↬⫶⩼⫲1138⪄⫶⩼⫲E8C⪛⫶⩼⫲2434","cot":[{"info":"⫶⩼⫲15DA↬⫶⩼⫲1138=NaN","layer":1},{"info":"⫶⩼⫲E8C⪛⫶⩼⫲2434=⫶⩼⫲E8C","layer":1},{"info":"NaN⪄⫶⩼⫲E8C=⫶⩼⫲12A4","layer":0}]}
{"id":973,"expression_no_base_symbol":"($8161$⊦⊿)⩷∴($2335$+$1353$)","expression":"(⫶⩼⫲2641⊦⊿)⩷∴(⫶⩼⫲A5A+⫶⩼⫲603)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":13,"operation_count":3,"complexity_ratio":4.333333333333333,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":8161,"base":15}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2335,"base":15},"right_expr":{"type":"numeric_atoms","value":1353,"base":15}}},"used_operators":["9FxExcQeMw","14qkJME0vr","W4YGzv6Whe"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⫶⩼⫲-11B3C","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=8161","layer":2},{"info":"compute unary expreesion, input=8161, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-24562","layer":1},{"info":"number node, value=2335","layer":2},{"info":"number node, value=1353","layer":2},{"info":"compute binary expreesion, left_input=2335, right_input=1353, op_id = W4YGzv6Whe binary_op_definition= 'None', output=3688","layer":1},{"info":"compute binary expreesion, left_input=-24562, right_input=3688, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-56532","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲2641⊦⊿)⩷∴(⫶⩼⫲A5A+⫶⩼⫲603)=⫶⩼⫲-11B3C","reverse_text":"⫶⩼⫲-11B3C=(⫶⩼⫲2641⊦⊿)⩷∴(⫶⩼⫲A5A+⫶⩼⫲603)","cot":[{"info":"⫶⩼⫲2641⊦⊿=⫶⩼⫲-7427","layer":1},{"info":"⫶⩼⫲A5A+⫶⩼⫲603=⫶⩼⫲115D","layer":1},{"info":"⫶⩼⫲-7427⩷∴⫶⩼⫲115D=⫶⩼⫲-11B3C","layer":0}]}
{"id":974,"expression_no_base_symbol":"(⊙↵-$9325$)↛⩡⫤","expression":"(⊙↵-⫶⩼⫲2B6A)↛⩡⫤","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":9437,"operation_count":2,"complexity_ratio":4718.5,"tree":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":9325,"base":15}}},"used_operators":["FU0Cs4j7VP","oWn0xqSxBt"],"dependent_operators":["8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X"],"result":"⫶⩼⫲1","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=9325","layer":2},{"info":"compute unary expreesion, input=9325, 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 = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=1","layer":0}],"base":15,"result_base":15,"text":"(⊙↵-⫶⩼⫲2B6A)↛⩡⫤=⫶⩼⫲1","reverse_text":"⫶⩼⫲1=(⊙↵-⫶⩼⫲2B6A)↛⩡⫤","cot":[{"info":"⊙↵-⫶⩼⫲2B6A=⫶⩼⫲-1","layer":1},{"info":"⫶⩼⫲-1↛⩡⫤=⫶⩼⫲1","layer":0}]}
{"id":975,"expression_no_base_symbol":"↯⪼($4638$≎⊠⪸$1491$)","expression":"↯⪼(⫶⩼⫲1593≎⊠⪸⫶⩼⫲696)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":301,"operation_count":2,"complexity_ratio":150.5,"tree":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":4638,"base":15},"right_expr":{"type":"numeric_atoms","value":1491,"base":15}}},"used_operators":["8jW3W4yZS5","bJkvcejdHO"],"dependent_operators":["eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"⫶⩼⫲-16","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=4638","layer":2},{"info":"number node, value=1491","layer":2},{"info":"compute binary expreesion, left_input=4638, right_input=1491, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1200769","layer":1},{"info":"compute unary expreesion, input=1200769, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":0}],"base":15,"result_base":15,"text":"↯⪼(⫶⩼⫲1593≎⊠⪸⫶⩼⫲696)=⫶⩼⫲-16","reverse_text":"⫶⩼⫲-16=↯⪼(⫶⩼⫲1593≎⊠⪸⫶⩼⫲696)","cot":[{"info":"⫶⩼⫲1593≎⊠⪸⫶⩼⫲696=⫶⩼⫲18ABB4","layer":1},{"info":"↯⪼⫶⩼⫲18ABB4=⫶⩼⫲-16","layer":0}]}
{"id":976,"expression_no_base_symbol":"$8708$⇷$2645$⋳⪒(⫓⪴$2586$)","expression":"⫶⩼⫲28A8⇷⫶⩼⫲BB5⋳⪒(⫓⪴⫶⩼⫲B76)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":124511,"operation_count":3,"complexity_ratio":41503.666666666664,"tree":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":8708,"base":15},"right_expr":{"type":"numeric_atoms","value":2645,"base":15}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":2586,"base":15}}},"used_operators":["12rbrZMWeM","mp7IySMOzn","eLxqMNBOBk"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","9HNa5Wba9A"],"result":"⫶⩼⫲-8BD603","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=8708","layer":2},{"info":"number node, value=2645","layer":2},{"info":"compute binary expreesion, left_input=8708, right_input=2645, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=5290","layer":1},{"info":"number node, value=2586","layer":2},{"info":"compute unary expreesion, input=2586, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=6687396","layer":1},{"info":"compute binary expreesion, left_input=5290, right_input=6687396, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-6677103","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲28A8⇷⫶⩼⫲BB5⋳⪒(⫓⪴⫶⩼⫲B76)=⫶⩼⫲-8BD603","reverse_text":"⫶⩼⫲-8BD603=⫶⩼⫲28A8⇷⫶⩼⫲BB5⋳⪒(⫓⪴⫶⩼⫲B76)","cot":[{"info":"⫶⩼⫲28A8⇷⫶⩼⫲BB5=⫶⩼⫲187A","layer":1},{"info":"⫓⪴⫶⩼⫲B76=⫶⩼⫲8C16B6","layer":1},{"info":"⫶⩼⫲187A⋳⪒⫶⩼⫲8C16B6=⫶⩼⫲-8BD603","layer":0}]}
{"id":977,"expression_no_base_symbol":"($7197$⨪↰⇹$5288$)⇷($4150$≧⫂∧$1351$)","expression":"(⫶⩼⫲21EC⨪↰⇹⫶⩼⫲1878)⇷(⫶⩼⫲136A≧⫂∧⫶⩼⫲601)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":107962,"operation_count":3,"complexity_ratio":35987.333333333336,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":7197,"base":15},"right_expr":{"type":"numeric_atoms","value":5288,"base":15}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":4150,"base":15},"right_expr":{"type":"numeric_atoms","value":1351,"base":15}}},"used_operators":["mp7IySMOzn","tmPS8pqC7x","Ph9nP6C5qx"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd"],"result":"⫶⩼⫲7C1","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=7197","layer":2},{"info":"number node, value=5288","layer":2},{"info":"compute binary expreesion, left_input=7197, right_input=5288, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=7197","layer":1},{"info":"number node, value=4150","layer":2},{"info":"number node, value=1351","layer":2},{"info":"compute binary expreesion, left_input=4150, right_input=1351, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=878","layer":1},{"info":"compute binary expreesion, left_input=7197, right_input=878, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=1756","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲21EC⨪↰⇹⫶⩼⫲1878)⇷(⫶⩼⫲136A≧⫂∧⫶⩼⫲601)=⫶⩼⫲7C1","reverse_text":"⫶⩼⫲7C1=(⫶⩼⫲21EC⨪↰⇹⫶⩼⫲1878)⇷(⫶⩼⫲136A≧⫂∧⫶⩼⫲601)","cot":[{"info":"⫶⩼⫲21EC⨪↰⇹⫶⩼⫲1878=⫶⩼⫲21EC","layer":1},{"info":"⫶⩼⫲136A≧⫂∧⫶⩼⫲601=⫶⩼⫲3D8","layer":1},{"info":"⫶⩼⫲21EC⇷⫶⩼⫲3D8=⫶⩼⫲7C1","layer":0}]}
{"id":978,"expression_no_base_symbol":"⊥($3707$⇷$1391$)","expression":"⊥(⫶⩼⫲1172⇷⫶⩼⫲62B)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":51905,"operation_count":2,"complexity_ratio":25952.5,"tree":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":3707,"base":15},"right_expr":{"type":"numeric_atoms","value":1391,"base":15}}},"used_operators":["Q3PJZHRvZv","mp7IySMOzn"],"dependent_operators":["fu6greOZ01","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=3707","layer":2},{"info":"number node, value=1391","layer":2},{"info":"compute binary expreesion, left_input=3707, right_input=1391, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2782","layer":1},{"info":"compute unary expreesion, input=2782, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"⊥(⫶⩼⫲1172⇷⫶⩼⫲62B)=NaN","reverse_text":"NaN=⊥(⫶⩼⫲1172⇷⫶⩼⫲62B)","cot":[{"info":"⫶⩼⫲1172⇷⫶⩼⫲62B=⫶⩼⫲C57","layer":1},{"info":"⊥⫶⩼⫲C57=NaN","layer":0}]}
{"id":979,"expression_no_base_symbol":"$1107$⨪↰⇹$1873$↙$2167$⋳⪒$2530$","expression":"⫶⩼⫲4DC⨪↰⇹⫶⩼⫲84D↙⫶⩼⫲997⋳⪒⫶⩼⫲B3A","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2634,"operation_count":3,"complexity_ratio":878.0,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1107,"base":15},"right_expr":{"type":"numeric_atoms","value":1873,"base":15}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2167,"base":15},"right_expr":{"type":"numeric_atoms","value":2530,"base":15}}},"used_operators":["yyfyN0ffXY","tmPS8pqC7x","12rbrZMWeM"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd"],"result":"⫶⩼⫲-1536","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1107","layer":2},{"info":"number node, value=1873","layer":2},{"info":"compute binary expreesion, left_input=1107, right_input=1873, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1107","layer":1},{"info":"number node, value=2167","layer":2},{"info":"number node, value=2530","layer":2},{"info":"compute binary expreesion, left_input=2167, right_input=2530, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=1517","layer":1},{"info":"compute binary expreesion, left_input=1107, right_input=1517, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-4551","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲4DC⨪↰⇹⫶⩼⫲84D↙⫶⩼⫲997⋳⪒⫶⩼⫲B3A=⫶⩼⫲-1536","reverse_text":"⫶⩼⫲-1536=⫶⩼⫲4DC⨪↰⇹⫶⩼⫲84D↙⫶⩼⫲997⋳⪒⫶⩼⫲B3A","cot":[{"info":"⫶⩼⫲4DC⨪↰⇹⫶⩼⫲84D=⫶⩼⫲4DC","layer":1},{"info":"⫶⩼⫲997⋳⪒⫶⩼⫲B3A=⫶⩼⫲6B2","layer":1},{"info":"⫶⩼⫲4DC↙⫶⩼⫲6B2=⫶⩼⫲-1536","layer":0}]}
{"id":980,"expression_no_base_symbol":"↩$7469$⊴$2548$","expression":"↩⫶⩼⫲232E⊴⫶⩼⫲B4D","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3804,"operation_count":2,"complexity_ratio":1902.0,"tree":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":7469,"base":15},"right_expr":{"type":"numeric_atoms","value":2548,"base":15}}},"used_operators":["jLgFTUHLKL","Nsiff2A1zJ"],"dependent_operators":["sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=7469","layer":2},{"info":"number node, value=2548","layer":2},{"info":"compute binary expreesion, left_input=7469, right_input=2548, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=nan","layer":0}],"base":15,"result_base":15,"text":"↩⫶⩼⫲232E⊴⫶⩼⫲B4D=NaN","reverse_text":"NaN=↩⫶⩼⫲232E⊴⫶⩼⫲B4D","cot":[{"info":"⫶⩼⫲232E⊴⫶⩼⫲B4D=NaN","layer":1},{"info":"↩NaN=NaN","layer":0}]}
{"id":981,"expression_no_base_symbol":"$3981$∀⇚≩$8568$⨐⩸⫘($8236$%$1534$)","expression":"⫶⩼⫲12A6∀⇚≩⫶⩼⫲2813⨐⩸⫘(⫶⩼⫲2691%⫶⩼⫲6C4)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":351624,"operation_count":3,"complexity_ratio":117208.0,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":3981,"base":15},"right_expr":{"type":"numeric_atoms","value":8568,"base":15}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":8236,"base":15},"right_expr":{"type":"numeric_atoms","value":1534,"base":15}}},"used_operators":["fu6greOZ01","LRNGc0VcxI","k8jYdgA6NY"],"dependent_operators":["3ViojmjbAp","X99M06cbEe","rysDP5nf3Z"],"result":"⫶⩼⫲-27E","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=3981","layer":2},{"info":"number node, value=8568","layer":2},{"info":"compute binary expreesion, left_input=3981, right_input=8568, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-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=8236","layer":2},{"info":"number node, value=1534","layer":2},{"info":"compute binary expreesion, left_input=8236, right_input=1534, op_id = k8jYdgA6NY binary_op_definition= 'None', output=566","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=566, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=-569","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲12A6∀⇚≩⫶⩼⫲2813⨐⩸⫘(⫶⩼⫲2691%⫶⩼⫲6C4)=⫶⩼⫲-27E","reverse_text":"⫶⩼⫲-27E=⫶⩼⫲12A6∀⇚≩⫶⩼⫲2813⨐⩸⫘(⫶⩼⫲2691%⫶⩼⫲6C4)","cot":[{"info":"⫶⩼⫲12A6∀⇚≩⫶⩼⫲2813=NaN","layer":1},{"info":"⫶⩼⫲2691%⫶⩼⫲6C4=⫶⩼⫲27B","layer":1},{"info":"NaN⨐⩸⫘⫶⩼⫲27B=⫶⩼⫲-27E","layer":0}]}
{"id":982,"expression_no_base_symbol":"↯⪼(⇁⨣⪵$1984$)","expression":"↯⪼(⇁⨣⪵⫶⩼⫲8C4)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":32,"operation_count":2,"complexity_ratio":16.0,"tree":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1984,"base":15}}},"used_operators":["8jW3W4yZS5","inkyxCbjAn"],"dependent_operators":["eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","B5M0gjZbta"],"result":"⫶⩼⫲-16","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1984","layer":2},{"info":"compute unary expreesion, input=1984, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":0}],"base":15,"result_base":15,"text":"↯⪼(⇁⨣⪵⫶⩼⫲8C4)=⫶⩼⫲-16","reverse_text":"⫶⩼⫲-16=↯⪼(⇁⨣⪵⫶⩼⫲8C4)","cot":[{"info":"⇁⨣⪵⫶⩼⫲8C4=NaN","layer":1},{"info":"↯⪼NaN=⫶⩼⫲-16","layer":0}]}
{"id":983,"expression_no_base_symbol":"≦∁$1198$⩷∴$2892$","expression":"≦∁⫶⩼⫲54D⩷∴⫶⩼⫲CCC","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":43,"operation_count":2,"complexity_ratio":21.5,"tree":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1198,"base":15},"right_expr":{"type":"numeric_atoms","value":2892,"base":15}}},"used_operators":["9ICcGScMcE","9FxExcQeMw"],"dependent_operators":["XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z"],"result":"⫶⩼⫲47","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1198","layer":2},{"info":"number node, value=2892","layer":2},{"info":"compute binary expreesion, left_input=1198, right_input=2892, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-3420","layer":1},{"info":"compute unary expreesion, input=-3420, 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":15,"result_base":15,"text":"≦∁⫶⩼⫲54D⩷∴⫶⩼⫲CCC=⫶⩼⫲47","reverse_text":"⫶⩼⫲47=≦∁⫶⩼⫲54D⩷∴⫶⩼⫲CCC","cot":[{"info":"⫶⩼⫲54D⩷∴⫶⩼⫲CCC=⫶⩼⫲-1030","layer":1},{"info":"≦∁⫶⩼⫲-1030=⫶⩼⫲47","layer":0}]}
{"id":984,"expression_no_base_symbol":"($1717$⨳⩥⨓$3367$)⪢(⪝⪂⫅$5290$)","expression":"(⫶⩼⫲797⨳⩥⨓⫶⩼⫲EE7)⪢(⪝⪂⫅⫶⩼⫲187A)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":777783,"operation_count":3,"complexity_ratio":259261.0,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1717,"base":15},"right_expr":{"type":"numeric_atoms","value":3367,"base":15}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":5290,"base":15}}},"used_operators":["dWAJyo7jo9","nCS4ZIUYfx","XTarYq4gQB"],"dependent_operators":["k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","9HNa5Wba9A","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1717","layer":2},{"info":"number node, value=3367","layer":2},{"info":"compute binary expreesion, left_input=1717, right_input=3367, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=1650","layer":1},{"info":"number node, value=5290","layer":2},{"info":"compute unary expreesion, input=5290, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-777630","layer":1},{"info":"compute binary expreesion, left_input=1650, right_input=-777630, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-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":15,"result_base":15,"text":"(⫶⩼⫲797⨳⩥⨓⫶⩼⫲EE7)⪢(⪝⪂⫅⫶⩼⫲187A)=NaN","reverse_text":"NaN=(⫶⩼⫲797⨳⩥⨓⫶⩼⫲EE7)⪢(⪝⪂⫅⫶⩼⫲187A)","cot":[{"info":"⫶⩼⫲797⨳⩥⨓⫶⩼⫲EE7=⫶⩼⫲750","layer":1},{"info":"⪝⪂⫅⫶⩼⫲187A=⫶⩼⫲-105620","layer":1},{"info":"⫶⩼⫲750⪢⫶⩼⫲-105620=NaN","layer":0}]}
{"id":985,"expression_no_base_symbol":"(⊥$1029$)⫌⩹⨱","expression":"(⊥⫶⩼⫲489)⫌⩹⨱","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":8,"operation_count":2,"complexity_ratio":4.0,"tree":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":1029,"base":15}}},"used_operators":["EBcxylXtPf","Q3PJZHRvZv"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","fu6greOZ01"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1029","layer":2},{"info":"compute unary expreesion, input=1029, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=nan","layer":0}],"base":15,"result_base":15,"text":"(⊥⫶⩼⫲489)⫌⩹⨱=NaN","reverse_text":"NaN=(⊥⫶⩼⫲489)⫌⩹⨱","cot":[{"info":"⊥⫶⩼⫲489=NaN","layer":1},{"info":"NaN⫌⩹⨱=NaN","layer":0}]}
{"id":986,"expression_no_base_symbol":"$8450$⨰$1436$⫡⨏$1762$⨰$2592$","expression":"⫶⩼⫲2785⨰⫶⩼⫲65B⫡⨏⫶⩼⫲7C7⨰⫶⩼⫲B7C","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":19,"operation_count":3,"complexity_ratio":6.333333333333333,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":8450,"base":15},"right_expr":{"type":"numeric_atoms","value":1436,"base":15}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1762,"base":15},"right_expr":{"type":"numeric_atoms","value":2592,"base":15}}},"used_operators":["QMFrweE19q","eewbuw0ToL"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⫶⩼⫲A243","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=8450","layer":2},{"info":"number node, value=1436","layer":2},{"info":"compute binary expreesion, left_input=8450, right_input=1436, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=7024","layer":1},{"info":"number node, value=1762","layer":2},{"info":"number node, value=2592","layer":2},{"info":"compute binary expreesion, left_input=1762, right_input=2592, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-820","layer":1},{"info":"compute binary expreesion, left_input=7024, right_input=-820, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=34263","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲2785⨰⫶⩼⫲65B⫡⨏⫶⩼⫲7C7⨰⫶⩼⫲B7C=⫶⩼⫲A243","reverse_text":"⫶⩼⫲A243=⫶⩼⫲2785⨰⫶⩼⫲65B⫡⨏⫶⩼⫲7C7⨰⫶⩼⫲B7C","cot":[{"info":"⫶⩼⫲2785⨰⫶⩼⫲65B=⫶⩼⫲2134","layer":1},{"info":"⫶⩼⫲7C7⨰⫶⩼⫲B7C=⫶⩼⫲-39A","layer":1},{"info":"⫶⩼⫲2134⫡⨏⫶⩼⫲-39A=⫶⩼⫲A243","layer":0}]}
{"id":987,"expression_no_base_symbol":"$6245$∑⇟⊟$1000$⨐⩸⫘(⊥$4957$)","expression":"⫶⩼⫲1CB5∑⇟⊟⫶⩼⫲46A⨐⩸⫘(⊥⫶⩼⫲1707)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1001330,"operation_count":3,"complexity_ratio":333776.6666666667,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":6245,"base":15},"right_expr":{"type":"numeric_atoms","value":1000,"base":15}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":4957,"base":15}}},"used_operators":["fu6greOZ01","U7g4x0WXJJ","Q3PJZHRvZv"],"dependent_operators":["3ViojmjbAp","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","fu6greOZ01"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=6245","layer":2},{"info":"number node, value=1000","layer":2},{"info":"compute binary expreesion, left_input=6245, right_input=1000, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=4957","layer":2},{"info":"compute unary expreesion, input=4957, 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 = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(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":15,"result_base":15,"text":"⫶⩼⫲1CB5∑⇟⊟⫶⩼⫲46A⨐⩸⫘(⊥⫶⩼⫲1707)=NaN","reverse_text":"NaN=⫶⩼⫲1CB5∑⇟⊟⫶⩼⫲46A⨐⩸⫘(⊥⫶⩼⫲1707)","cot":[{"info":"⫶⩼⫲1CB5∑⇟⊟⫶⩼⫲46A=NaN","layer":1},{"info":"⊥⫶⩼⫲1707=NaN","layer":1},{"info":"NaN⨐⩸⫘NaN=NaN","layer":0}]}
{"id":988,"expression_no_base_symbol":"(⨵≀≌$1004$)∑⇟⊟($8359$⨓$1957$)","expression":"(⨵≀≌⫶⩼⫲46E)∑⇟⊟(⫶⩼⫲2724⨓⫶⩼⫲8A7)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1967,"operation_count":3,"complexity_ratio":655.6666666666666,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1004,"base":15}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":8359,"base":15},"right_expr":{"type":"numeric_atoms","value":1957,"base":15}}},"used_operators":["U7g4x0WXJJ","srAu1WTS94","3ViojmjbAp"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"NaN","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=1004","layer":2},{"info":"compute unary expreesion, input=1004, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-3012","layer":1},{"info":"number node, value=8359","layer":2},{"info":"number node, value=1957","layer":2},{"info":"compute binary expreesion, left_input=8359, right_input=1957, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1960","layer":1},{"info":"compute binary expreesion, left_input=-3012, right_input=-1960, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":15,"result_base":15,"text":"(⨵≀≌⫶⩼⫲46E)∑⇟⊟(⫶⩼⫲2724⨓⫶⩼⫲8A7)=NaN","reverse_text":"NaN=(⨵≀≌⫶⩼⫲46E)∑⇟⊟(⫶⩼⫲2724⨓⫶⩼⫲8A7)","cot":[{"info":"⨵≀≌⫶⩼⫲46E=⫶⩼⫲-D5C","layer":1},{"info":"⫶⩼⫲2724⨓⫶⩼⫲8A7=⫶⩼⫲-8AA","layer":1},{"info":"⫶⩼⫲-D5C∑⇟⊟⫶⩼⫲-8AA=NaN","layer":0}]}
{"id":989,"expression_no_base_symbol":"($2752$⨳⩥⨓$6684$)≭($1262$⊭↱$1356$)","expression":"(⫶⩼⫲C37⨳⩥⨓⫶⩼⫲1EA9)≭(⫶⩼⫲592⊭↱⫶⩼⫲606)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":10,"operation_count":3,"complexity_ratio":3.3333333333333335,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2752,"base":15},"right_expr":{"type":"numeric_atoms","value":6684,"base":15}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1262,"base":15},"right_expr":{"type":"numeric_atoms","value":1356,"base":15}}},"used_operators":["rxpJgHHUmx","nCS4ZIUYfx","COABgblf1C"],"dependent_operators":["AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=2752","layer":2},{"info":"number node, value=6684","layer":2},{"info":"compute binary expreesion, left_input=2752, right_input=6684, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=3932","layer":1},{"info":"number node, value=1262","layer":2},{"info":"number node, value=1356","layer":2},{"info":"compute binary expreesion, left_input=1262, right_input=1356, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=193","layer":1},{"info":"compute binary expreesion, left_input=3932, right_input=193, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-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":15,"result_base":15,"text":"(⫶⩼⫲C37⨳⩥⨓⫶⩼⫲1EA9)≭(⫶⩼⫲592⊭↱⫶⩼⫲606)=NaN","reverse_text":"NaN=(⫶⩼⫲C37⨳⩥⨓⫶⩼⫲1EA9)≭(⫶⩼⫲592⊭↱⫶⩼⫲606)","cot":[{"info":"⫶⩼⫲C37⨳⩥⨓⫶⩼⫲1EA9=⫶⩼⫲1272","layer":1},{"info":"⫶⩼⫲592⊭↱⫶⩼⫲606=⫶⩼⫲CD","layer":1},{"info":"⫶⩼⫲1272≭⫶⩼⫲CD=NaN","layer":0}]}
{"id":990,"expression_no_base_symbol":"$4681$∼$2882$≫≃","expression":"⫶⩼⫲15C1∼⫶⩼⫲CC2≫≃","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":100,"operation_count":2,"complexity_ratio":50.0,"tree":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":4681,"base":15},"right_expr":{"type":"numeric_atoms","value":2882,"base":15}}},"used_operators":["X99M06cbEe","DyGG3AbaNP"],"dependent_operators":["2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=4681","layer":2},{"info":"number node, value=2882","layer":2},{"info":"compute binary expreesion, left_input=4681, right_input=2882, 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 = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=nan","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲15C1∼⫶⩼⫲CC2≫≃=NaN","reverse_text":"NaN=⫶⩼⫲15C1∼⫶⩼⫲CC2≫≃","cot":[{"info":"⫶⩼⫲15C1∼⫶⩼⫲CC2=NaN","layer":1},{"info":"NaN≫≃=NaN","layer":0}]}
{"id":991,"expression_no_base_symbol":"↥(↥$2661$)","expression":"↥(↥⫶⩼⫲BC6)","highest_n_order":2,"priority_hierarchical_complexity":1,"normalized_expansion_degree":53,"operation_count":2,"complexity_ratio":26.5,"tree":{"type":"unary","operator":"↥","unary_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":2661,"base":15}}},"used_operators":["A8NUZmVepG"],"dependent_operators":["k8jYdgA6NY"],"result":"⫶⩼⫲9","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=2661","layer":2},{"info":"compute unary expreesion, input=2661, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=9","layer":1},{"info":"compute unary expreesion, input=9, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=9","layer":0}],"base":15,"result_base":15,"text":"↥(↥⫶⩼⫲BC6)=⫶⩼⫲9","reverse_text":"⫶⩼⫲9=↥(↥⫶⩼⫲BC6)","cot":[{"info":"↥⫶⩼⫲BC6=⫶⩼⫲9","layer":1},{"info":"↥⫶⩼⫲9=⫶⩼⫲9","layer":0}]}
{"id":992,"expression_no_base_symbol":"↯⪼($2457$∲⫓$1796$)","expression":"↯⪼(⫶⩼⫲ADC∲⫓⫶⩼⫲7EB)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":33,"operation_count":2,"complexity_ratio":16.5,"tree":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2457,"base":15},"right_expr":{"type":"numeric_atoms","value":1796,"base":15}}},"used_operators":["8jW3W4yZS5","i8ToyICDmI"],"dependent_operators":["eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd"],"result":"⫶⩼⫲-16","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2457","layer":2},{"info":"number node, value=1796","layer":2},{"info":"compute binary expreesion, left_input=2457, right_input=1796, 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 = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":0}],"base":15,"result_base":15,"text":"↯⪼(⫶⩼⫲ADC∲⫓⫶⩼⫲7EB)=⫶⩼⫲-16","reverse_text":"⫶⩼⫲-16=↯⪼(⫶⩼⫲ADC∲⫓⫶⩼⫲7EB)","cot":[{"info":"⫶⩼⫲ADC∲⫓⫶⩼⫲7EB=⫶⩼⫲0","layer":1},{"info":"↯⪼⫶⩼⫲0=⫶⩼⫲-16","layer":0}]}
{"id":993,"expression_no_base_symbol":"$3280$⩷∴$2633$+$4518$⨸⪁$2086$","expression":"⫶⩼⫲E8A⩷∴⫶⩼⫲BA8+⫶⩼⫲1513⨸⪁⫶⩼⫲941","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":10,"operation_count":3,"complexity_ratio":3.3333333333333335,"tree":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":3280,"base":15},"right_expr":{"type":"numeric_atoms","value":2633,"base":15}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":4518,"base":15},"right_expr":{"type":"numeric_atoms","value":2086,"base":15}}},"used_operators":["W4YGzv6Whe","9FxExcQeMw","g55IO6H4Gj"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe"],"result":"⫶⩼⫲444A","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=3280","layer":2},{"info":"number node, value=2633","layer":2},{"info":"compute binary expreesion, left_input=3280, right_input=2633, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=1262","layer":1},{"info":"number node, value=4518","layer":2},{"info":"number node, value=2086","layer":2},{"info":"compute binary expreesion, left_input=4518, right_input=2086, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=13208","layer":1},{"info":"compute binary expreesion, left_input=1262, right_input=13208, op_id = W4YGzv6Whe binary_op_definition= 'None', output=14470","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲E8A⩷∴⫶⩼⫲BA8+⫶⩼⫲1513⨸⪁⫶⩼⫲941=⫶⩼⫲444A","reverse_text":"⫶⩼⫲444A=⫶⩼⫲E8A⩷∴⫶⩼⫲BA8+⫶⩼⫲1513⨸⪁⫶⩼⫲941","cot":[{"info":"⫶⩼⫲E8A⩷∴⫶⩼⫲BA8=⫶⩼⫲592","layer":1},{"info":"⫶⩼⫲1513⨸⪁⫶⩼⫲941=⫶⩼⫲3DA8","layer":1},{"info":"⫶⩼⫲592+⫶⩼⫲3DA8=⫶⩼⫲444A","layer":0}]}
{"id":994,"expression_no_base_symbol":"($1811$⋓$2666$)∑⇟⊟($1128$⩠)","expression":"(⫶⩼⫲80B⋓⫶⩼⫲BCB)∑⇟⊟(⫶⩼⫲503⩠)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":32,"operation_count":3,"complexity_ratio":10.666666666666666,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1811,"base":15},"right_expr":{"type":"numeric_atoms","value":2666,"base":15}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":1128,"base":15}}},"used_operators":["U7g4x0WXJJ","T2fj7uvVaJ","sJAwomhLZr"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C"],"result":"⫶⩼⫲0","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=1811","layer":2},{"info":"number node, value=2666","layer":2},{"info":"compute binary expreesion, left_input=1811, right_input=2666, op_id = T2fj7uvVaJ binary_op_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=1128","layer":2},{"info":"compute unary expreesion, input=1128, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=0","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲80B⋓⫶⩼⫲BCB)∑⇟⊟(⫶⩼⫲503⩠)=⫶⩼⫲0","reverse_text":"⫶⩼⫲0=(⫶⩼⫲80B⋓⫶⩼⫲BCB)∑⇟⊟(⫶⩼⫲503⩠)","cot":[{"info":"⫶⩼⫲80B⋓⫶⩼⫲BCB=⫶⩼⫲0","layer":1},{"info":"⫶⩼⫲503⩠=⫶⩼⫲0","layer":1},{"info":"⫶⩼⫲0∑⇟⊟⫶⩼⫲0=⫶⩼⫲0","layer":0}]}
{"id":995,"expression_no_base_symbol":"(⪝⪂⫅$4587$)⨪↰⇹($1472$⨎$4546$)","expression":"(⪝⪂⫅⫶⩼⫲155C)⨪↰⇹(⫶⩼⫲682⨎⫶⩼⫲1531)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":674440,"operation_count":3,"complexity_ratio":224813.33333333334,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":4587,"base":15}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1472,"base":15},"right_expr":{"type":"numeric_atoms","value":4546,"base":15}}},"used_operators":["tmPS8pqC7x","XTarYq4gQB","rJVOvQCfKK"],"dependent_operators":["rJVOvQCfKK","9HNa5Wba9A","8w2t5hMYqp","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"⫶⩼⫲D4BC9","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=4587","layer":2},{"info":"compute unary expreesion, input=4587, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-674289","layer":1},{"info":"number node, value=1472","layer":2},{"info":"number node, value=4546","layer":2},{"info":"compute binary expreesion, left_input=1472, right_input=4546, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=4546","layer":1},{"info":"compute binary expreesion, left_input=-674289, right_input=4546, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=674289","layer":0}],"base":15,"result_base":15,"text":"(⪝⪂⫅⫶⩼⫲155C)⨪↰⇹(⫶⩼⫲682⨎⫶⩼⫲1531)=⫶⩼⫲D4BC9","reverse_text":"⫶⩼⫲D4BC9=(⪝⪂⫅⫶⩼⫲155C)⨪↰⇹(⫶⩼⫲682⨎⫶⩼⫲1531)","cot":[{"info":"⪝⪂⫅⫶⩼⫲155C=⫶⩼⫲-D4BC9","layer":1},{"info":"⫶⩼⫲682⨎⫶⩼⫲1531=⫶⩼⫲1531","layer":1},{"info":"⫶⩼⫲-D4BC9⨪↰⇹⫶⩼⫲1531=⫶⩼⫲D4BC9","layer":0}]}
{"id":996,"expression_no_base_symbol":"($2524$⩠)⪨≂(↩$5801$)","expression":"(⫶⩼⫲B34⩠)⪨≂(↩⫶⩼⫲1ABB)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":39,"operation_count":3,"complexity_ratio":13.0,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":2524,"base":15}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":5801,"base":15}}},"used_operators":["sdazOOVcIp","sJAwomhLZr","jLgFTUHLKL"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D"],"result":"⫶⩼⫲1AD3D","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2524","layer":2},{"info":"compute unary expreesion, input=2524, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":1},{"info":"number node, value=5801","layer":2},{"info":"compute unary expreesion, input=5801, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-43628","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-43628, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=87358","layer":0}],"base":15,"result_base":15,"text":"(⫶⩼⫲B34⩠)⪨≂(↩⫶⩼⫲1ABB)=⫶⩼⫲1AD3D","reverse_text":"⫶⩼⫲1AD3D=(⫶⩼⫲B34⩠)⪨≂(↩⫶⩼⫲1ABB)","cot":[{"info":"⫶⩼⫲B34⩠=⫶⩼⫲0","layer":1},{"info":"↩⫶⩼⫲1ABB=⫶⩼⫲-CDD8","layer":1},{"info":"⫶⩼⫲0⪨≂⫶⩼⫲-CDD8=⫶⩼⫲1AD3D","layer":0}]}
{"id":997,"expression_no_base_symbol":"∥⊫(≦∁$5313$)","expression":"∥⊫(≦∁⫶⩼⫲1893)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5,"operation_count":2,"complexity_ratio":2.5,"tree":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":5313,"base":15}}},"used_operators":["P8v4zCKN1o","9ICcGScMcE"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"⫶⩼⫲1C71","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=5313","layer":2},{"info":"compute unary expreesion, input=5313, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=5313","layer":1},{"info":"compute unary expreesion, input=5313, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=6181","layer":0}],"base":15,"result_base":15,"text":"∥⊫(≦∁⫶⩼⫲1893)=⫶⩼⫲1C71","reverse_text":"⫶⩼⫲1C71=∥⊫(≦∁⫶⩼⫲1893)","cot":[{"info":"≦∁⫶⩼⫲1893=⫶⩼⫲1893","layer":1},{"info":"∥⊫⫶⩼⫲1893=⫶⩼⫲1C71","layer":0}]}
{"id":998,"expression_no_base_symbol":"$2589$⨪↰⇹$2173$↙(⪝⪂⫅$6108$)","expression":"⫶⩼⫲B79⨪↰⇹⫶⩼⫲99D↙(⪝⪂⫅⫶⩼⫲1C23)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":900618,"operation_count":3,"complexity_ratio":300206.0,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2589,"base":15},"right_expr":{"type":"numeric_atoms","value":2173,"base":15}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":6108,"base":15}}},"used_operators":["yyfyN0ffXY","tmPS8pqC7x","XTarYq4gQB"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","rJVOvQCfKK","9HNa5Wba9A","8w2t5hMYqp"],"result":"⫶⩼⫲3831A3","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2589","layer":2},{"info":"number node, value=2173","layer":2},{"info":"compute binary expreesion, left_input=2589, right_input=2173, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=2589","layer":1},{"info":"number node, value=6108","layer":2},{"info":"compute unary expreesion, input=6108, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-897876","layer":1},{"info":"compute binary expreesion, left_input=2589, right_input=-897876, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=2693628","layer":0}],"base":15,"result_base":15,"text":"⫶⩼⫲B79⨪↰⇹⫶⩼⫲99D↙(⪝⪂⫅⫶⩼⫲1C23)=⫶⩼⫲3831A3","reverse_text":"⫶⩼⫲3831A3=⫶⩼⫲B79⨪↰⇹⫶⩼⫲99D↙(⪝⪂⫅⫶⩼⫲1C23)","cot":[{"info":"⫶⩼⫲B79⨪↰⇹⫶⩼⫲99D=⫶⩼⫲B79","layer":1},{"info":"⪝⪂⫅⫶⩼⫲1C23=⫶⩼⫲-12B086","layer":1},{"info":"⫶⩼⫲B79↙⫶⩼⫲-12B086=⫶⩼⫲3831A3","layer":0}]}
{"id":999,"expression_no_base_symbol":"(⪝⪂⫅$2952$)⫡⨏$6984$⊭↱$1092$","expression":"(⪝⪂⫅⫶⩼⫲D1C)⫡⨏⫶⩼⫲2109⊭↱⫶⩼⫲4CC","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":163,"operation_count":3,"complexity_ratio":54.333333333333336,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":2952,"base":15}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":6984,"base":15},"right_expr":{"type":"numeric_atoms","value":1092,"base":15}}},"used_operators":["QMFrweE19q","XTarYq4gQB","COABgblf1C"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd"],"result":"⫶⩼⫲-2D4965","longer_result_info":{"target_base":15,"flag":true},"cot_info":[{"info":"number node, value=2952","layer":2},{"info":"compute unary expreesion, input=2952, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-433944","layer":1},{"info":"number node, value=6984","layer":2},{"info":"number node, value=1092","layer":2},{"info":"compute binary expreesion, left_input=6984, right_input=1092, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-11779","layer":1},{"info":"compute binary expreesion, left_input=-433944, right_input=-11779, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=-2192495","layer":0}],"base":15,"result_base":15,"text":"(⪝⪂⫅⫶⩼⫲D1C)⫡⨏⫶⩼⫲2109⊭↱⫶⩼⫲4CC=⫶⩼⫲-2D4965","reverse_text":"⫶⩼⫲-2D4965=(⪝⪂⫅⫶⩼⫲D1C)⫡⨏⫶⩼⫲2109⊭↱⫶⩼⫲4CC","cot":[{"info":"⪝⪂⫅⫶⩼⫲D1C=⫶⩼⫲-88899","layer":1},{"info":"⫶⩼⫲2109⊭↱⫶⩼⫲4CC=⫶⩼⫲-3754","layer":1},{"info":"⫶⩼⫲-88899⫡⨏⫶⩼⫲-3754=⫶⩼⫲-2D4965","layer":0}]}
{"id":1000,"expression_no_base_symbol":"($3428$+$3803$)↬$2090$⪛$2378$","expression":"(⫶⩼⫲1038+⫶⩼⫲11D8)↬⫶⩼⫲945⪛⫶⩼⫲A88","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6,"operation_count":3,"complexity_ratio":2.0,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":3428,"base":15},"right_expr":{"type":"numeric_atoms","value":3803,"base":15}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2090,"base":15},"right_expr":{"type":"numeric_atoms","value":2378,"base":15}}},"used_operators":["B5M0gjZbta","W4YGzv6Whe","uFcxV4UQCh"],"dependent_operators":["rGHVDoGpnC","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":15,"flag":false},"cot_info":[{"info":"number node, value=3428","layer":2},{"info":"number node, value=3803","layer":2},{"info":"compute binary expreesion, left_input=3428, right_input=3803, op_id = W4YGzv6Whe binary_op_definition= 'None', output=7231","layer":1},{"info":"number node, value=2090","layer":2},{"info":"number node, value=2378","layer":2},{"info":"compute binary expreesion, left_input=2090, right_input=2378, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2090","layer":1},{"info":"compute binary expreesion, left_input=7231, right_input=2090, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if 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":15,"result_base":15,"text":"(⫶⩼⫲1038+⫶⩼⫲11D8)↬⫶⩼⫲945⪛⫶⩼⫲A88=NaN","reverse_text":"NaN=(⫶⩼⫲1038+⫶⩼⫲11D8)↬⫶⩼⫲945⪛⫶⩼⫲A88","cot":[{"info":"⫶⩼⫲1038+⫶⩼⫲11D8=⫶⩼⫲2221","layer":1},{"info":"⫶⩼⫲945⪛⫶⩼⫲A88=⫶⩼⫲945","layer":1},{"info":"⫶⩼⫲2221↬⫶⩼⫲945=NaN","layer":0}]}