Time bar (total: 2.5min)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 74.9% | 25.1% | 0 |
| 0% | 74.9% | 25.1% | 1 |
| 0% | 74.9% | 25.1% | 2 |
| 18.7% | 56.2% | 25.1% | 3 |
| 37.5% | 37.5% | 25.1% | 4 |
| 42.1% | 32.8% | 25.1% | 5 |
| 46.8% | 28.1% | 25.1% | 6 |
| 48% | 26.9% | 25.1% | 7 |
| 49.2% | 25.8% | 25.1% | 8 |
| 49.5% | 25.5% | 25.1% | 9 |
| 49.8% | 25.2% | 25.1% | 10 |
| 49.8% | 25.2% | 25.1% | 11 |
| 49.8% | 25.1% | 25.1% | 12 |
| 49.9% | 25% | 25.1% | 13 |
| 49.9% | 25% | 25.1% | 14 |
Compiled 126 to 112 computations (11.1% saved)
| 1× | intervals |
| 1.8s | 122× | body | 8192 | exit |
| 104.0ms | 256× | body | 128 | valid |
| 10.0ms | 382× | pre | 128 | true |
| 2.0ms | 4× | body | 128 | invalid |
Compiled 249 to 223 computations (10.4% saved)
| 1× | egg-herbie |
Useful iterations: 0 (45.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4804 | 115 |
| 1 | 4804 | 115 |
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 1 | 1 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 2 | 2 |
Compiled 271 to 232 computations (14.4% saved)
Found 4 expressions with local error:
| 1.0b | (+.f64 (+.f64 (+.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (/.f64 -5537752839100187/4398046511104 (-.f64 2 z))) (/.f64 848079078717083/1099511627776 (-.f64 3 z))) (/.f64 -6214088902520669/35184372088832 (-.f64 4 z))) |
| 1.0b | (*.f64 (*.f64 (sqrt.f64 (*.f64 PI.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) |
| 1.0b | (sqrt.f64 (*.f64 PI.f64 2)) |
| 2.6b | (+.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (/.f64 -5537752839100187/4398046511104 (-.f64 2 z))) |
| 1× | rewrite-expression-head |
| 24× | *-un-lft-identity_binary64_1101 |
| 23× | add-log-exp_binary64_1140 |
| 14× | frac-add_binary64_1109 |
| 13× | distribute-lft-out_binary64_1052 sum-log_binary64_1192 |
| 10× | add-exp-log_binary64_1139 |
| 9× | pow1_binary64_1162 add-cbrt-cube_binary64_1137 |
| 7× | prod-exp_binary64_1150 |
| 6× | flip3-+_binary64_1104 flip-+_binary64_1075 |
| 5× | add-sqr-sqrt_binary64_1123 add-cube-cbrt_binary64_1136 |
| 4× | associate-*r*_binary64_1041 |
| 3× | cbrt-unprod_binary64_1134 |
| 2× | sqrt-pow1_binary64_1119 +-commutative_binary64_1031 pow-prod-down_binary64_1172 associate-+l+_binary64_1034 |
| 1× | *-commutative_binary64_1032 pow-exp_binary64_1169 exp-sum_binary64_1147 sqrt-prod_binary64_1117 associate-*r/_binary64_1043 pow-sub_binary64_1177 associate-*l*_binary64_1042 associate-*l/_binary64_1044 pow-to-exp_binary64_1170 pow1/2_binary64_1181 |
4 calls:
| 99.0ms | (+.f64 (+.f64 (+.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (/.f64 -5537752839100187/4398046511104 (-.f64 2 z))) (/.f64 848079078717083/1099511627776 (-.f64 3 z))) (/.f64 -6214088902520669/35184372088832 (-.f64 4 z))) |
| 22.0ms | (+.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (/.f64 -5537752839100187/4398046511104 (-.f64 2 z))) |
| 22.0ms | (*.f64 (*.f64 (sqrt.f64 (*.f64 PI.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) |
| 2.0ms | (sqrt.f64 (*.f64 PI.f64 2)) |
4 calls:
| 131.0ms | (*.f64 (*.f64 (sqrt.f64 (*.f64 PI.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) |
| 33.0ms | (+.f64 (+.f64 (+.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (/.f64 -5537752839100187/4398046511104 (-.f64 2 z))) (/.f64 848079078717083/1099511627776 (-.f64 3 z))) (/.f64 -6214088902520669/35184372088832 (-.f64 4 z))) |
| 15.0ms | (+.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (/.f64 -5537752839100187/4398046511104 (-.f64 2 z))) |
| 0.0ms | (sqrt.f64 (*.f64 PI.f64 2)) |
| 1× | egg-herbie |
Useful iterations: 0 (76.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4912 | 3345 |
| 1 | 4912 | 3345 |
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 79 | 5 | 84 |
| Fresh | 1 | 0 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 81 | 5 | 86 |
Compiled 7706 to 5962 computations (22.6% saved)
Found 4 expressions with local error:
| 1.0b | (*.f64 (+.f64 (*.f64 (-.f64 2 z) (+.f64 178405961588143256171617450107358831776190125/178405961588244985132285746181186892047843328 (pow.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) 3))) (*.f64 -5537752839100187/4398046511104 (+.f64 316912650056936879084143652025/316912650057057350374175801344 (*.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) (+.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) -562949953421205/562949953421312))))) (-.f64 3 z)) |
| 1.0b | (*.f64 (*.f64 (sqrt.f64 (*.f64 PI.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) |
| 1.0b | (sqrt.f64 (*.f64 PI.f64 2)) |
| 2.6b | (+.f64 (*.f64 (-.f64 2 z) (+.f64 178405961588143256171617450107358831776190125/178405961588244985132285746181186892047843328 (pow.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) 3))) (*.f64 -5537752839100187/4398046511104 (+.f64 316912650056936879084143652025/316912650057057350374175801344 (*.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) (+.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) -562949953421205/562949953421312))))) |
| 1× | rewrite-expression-head |
| 83× | associate-*r/_binary64_1043 |
| 68× | frac-times_binary64_1111 |
| 64× | frac-add_binary64_1109 |
| 60× | flip3-+_binary64_1104 flip-+_binary64_1075 |
| 43× | flip--_binary64_1076 flip3--_binary64_1105 |
| 35× | associate-*l/_binary64_1044 |
| 13× | add-sqr-sqrt_binary64_1123 |
| 12× | add-exp-log_binary64_1139 |
| 11× | *-un-lft-identity_binary64_1101 pow1_binary64_1162 add-cbrt-cube_binary64_1137 |
| 9× | add-cube-cbrt_binary64_1136 associate-*r*_binary64_1041 |
| 8× | prod-exp_binary64_1150 |
| 6× | add-log-exp_binary64_1140 distribute-lft-in_binary64_1050 cancel-sign-sub-inv_binary64_1067 distribute-rgt-in_binary64_1051 |
| 4× | cbrt-unprod_binary64_1134 associate-*l*_binary64_1042 |
| 3× | pow-prod-down_binary64_1172 |
| 2× | *-commutative_binary64_1032 sub-neg_binary64_1094 sqrt-pow1_binary64_1119 associate-+r+_binary64_1033 associate-+l+_binary64_1034 |
| 1× | pow-exp_binary64_1169 exp-sum_binary64_1147 difference-of-squares_binary64_1070 sum-log_binary64_1192 distribute-lft-out--_binary64_1053 sqrt-prod_binary64_1117 +-commutative_binary64_1031 pow-sub_binary64_1177 unswap-sqr_binary64_1069 pow-to-exp_binary64_1170 pow1/2_binary64_1181 |
4 calls:
| 57.0ms | (*.f64 (+.f64 (*.f64 (-.f64 2 z) (+.f64 178405961588143256171617450107358831776190125/178405961588244985132285746181186892047843328 (pow.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) 3))) (*.f64 -5537752839100187/4398046511104 (+.f64 316912650056936879084143652025/316912650057057350374175801344 (*.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) (+.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) -562949953421205/562949953421312))))) (-.f64 3 z)) |
| 41.0ms | (+.f64 (*.f64 (-.f64 2 z) (+.f64 178405961588143256171617450107358831776190125/178405961588244985132285746181186892047843328 (pow.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) 3))) (*.f64 -5537752839100187/4398046511104 (+.f64 316912650056936879084143652025/316912650057057350374175801344 (*.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) (+.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) -562949953421205/562949953421312))))) |
| 29.0ms | (*.f64 (*.f64 (sqrt.f64 (*.f64 PI.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) |
| 2.0ms | (sqrt.f64 (*.f64 PI.f64 2)) |
4 calls:
| 120.0ms | (*.f64 (*.f64 (sqrt.f64 (*.f64 PI.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) |
| 49.0ms | (*.f64 (+.f64 (*.f64 (-.f64 2 z) (+.f64 178405961588143256171617450107358831776190125/178405961588244985132285746181186892047843328 (pow.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) 3))) (*.f64 -5537752839100187/4398046511104 (+.f64 316912650056936879084143652025/316912650057057350374175801344 (*.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) (+.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) -562949953421205/562949953421312))))) (-.f64 3 z)) |
| 36.0ms | (+.f64 (*.f64 (-.f64 2 z) (+.f64 178405961588143256171617450107358831776190125/178405961588244985132285746181186892047843328 (pow.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) 3))) (*.f64 -5537752839100187/4398046511104 (+.f64 316912650056936879084143652025/316912650057057350374175801344 (*.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) (+.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) -562949953421205/562949953421312))))) |
| 0.0ms | (sqrt.f64 (*.f64 PI.f64 2)) |
| 1× | egg-herbie |
Useful iterations: 0 (49.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5852 | 16162 |
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 155 | 2 | 157 |
| Fresh | 1 | 3 | 4 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 157 | 5 | 162 |
Compiled 34031 to 27804 computations (18.3% saved)
Found 4 expressions with local error:
| 1.0b | (pow.f64 (pow.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) 3) 3) |
| 1.0b | (*.f64 (*.f64 (sqrt.f64 (*.f64 PI.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) |
| 1.0b | (sqrt.f64 (*.f64 PI.f64 2)) |
| 2.0b | (+.f64 (*.f64 (-.f64 316912650056936879084143652025/316912650057057350374175801344 (*.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) (+.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) -562949953421205/562949953421312))) (*.f64 (+.f64 5678427533549715134633014896091006013944685176209383187104014791596740501419439436594122795778098490726927930959796456992046408203125/5678427533559428832416592249125035424637823130369672345949142181098744438385921275985867583701277855943457200048954515105739075223552 (pow.f64 (pow.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) 3) 3)) (-.f64 4 (*.f64 z z)))) (*.f64 (*.f64 -5537752839100187/4398046511104 (-.f64 100433627766110534469812883687683627375011214126104286600625/100433627766186892221372630771322662657637687111424552206336 (*.f64 (*.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) (+.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) -562949953421205/562949953421312)) (*.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) (+.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) -562949953421205/562949953421312))))) (*.f64 (+.f64 31828687130190046991845674001698638924308767282431494685437358695710790509958860147515625/31828687130226345097944463881396533766429193651030253916189694521162207808802136034115584 (-.f64 (pow.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) 6) (*.f64 178405961588143256171617450107358831776190125/178405961588244985132285746181186892047843328 (pow.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) 3)))) (+.f64 2 z)))) |
| 1× | rewrite-expression-head |
| 1456× | frac-times_binary64_1111 |
| 1197× | associate-*r/_binary64_1043 |
| 706× | flip--_binary64_1076 flip3--_binary64_1105 |
| 703× | flip3-+_binary64_1104 flip-+_binary64_1075 |
| 676× | frac-add_binary64_1109 |
| 417× | associate-*l/_binary64_1044 |
| 102× | cube-prod_binary64_1129 unpow-prod-down_binary64_1180 |
| 84× | add-sqr-sqrt_binary64_1123 *-un-lft-identity_binary64_1101 |
| 72× | times-frac_binary64_1107 |
| 48× | add-cube-cbrt_binary64_1136 |
| 24× | difference-of-squares_binary64_1070 |
| 14× | add-exp-log_binary64_1139 |
| 12× | distribute-lft-in_binary64_1050 distribute-lft-out--_binary64_1053 distribute-rgt-in_binary64_1051 |
| 10× | add-cbrt-cube_binary64_1137 |
| 9× | pow1_binary64_1162 |
| 8× | associate-/r/_binary64_1047 associate-+l+_binary64_1034 |
| 7× | pow-exp_binary64_1169 prod-exp_binary64_1150 |
| 6× | add-log-exp_binary64_1140 |
| 4× | sub-neg_binary64_1094 associate-+r+_binary64_1033 div-inv_binary64_1098 associate-*r*_binary64_1041 cancel-sign-sub-inv_binary64_1067 |
| 3× | cube-mult_binary64_1131 cbrt-unprod_binary64_1134 pow-unpow_binary64_1178 unpow3_binary64_1167 sqr-pow_binary64_1073 pow-to-exp_binary64_1170 |
| 2× | sqrt-pow1_binary64_1119 cube-div_binary64_1130 pow-prod-down_binary64_1172 |
| 1× | *-commutative_binary64_1032 exp-sum_binary64_1147 rem-cube-cbrt_binary64_1124 pow-pow_binary64_1173 sum-log_binary64_1192 sqrt-prod_binary64_1117 +-commutative_binary64_1031 div-exp_binary64_1152 pow-sub_binary64_1177 associate-*l*_binary64_1042 pow1/2_binary64_1181 |
4 calls:
| 97.0ms | (+.f64 (*.f64 (-.f64 316912650056936879084143652025/316912650057057350374175801344 (*.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) (+.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) -562949953421205/562949953421312))) (*.f64 (+.f64 5678427533549715134633014896091006013944685176209383187104014791596740501419439436594122795778098490726927930959796456992046408203125/5678427533559428832416592249125035424637823130369672345949142181098744438385921275985867583701277855943457200048954515105739075223552 (pow.f64 (pow.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) 3) 3)) (-.f64 4 (*.f64 z z)))) (*.f64 (*.f64 -5537752839100187/4398046511104 (-.f64 100433627766110534469812883687683627375011214126104286600625/100433627766186892221372630771322662657637687111424552206336 (*.f64 (*.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) (+.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) -562949953421205/562949953421312)) (*.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) (+.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) -562949953421205/562949953421312))))) (*.f64 (+.f64 31828687130190046991845674001698638924308767282431494685437358695710790509958860147515625/31828687130226345097944463881396533766429193651030253916189694521162207808802136034115584 (-.f64 (pow.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) 6) (*.f64 178405961588143256171617450107358831776190125/178405961588244985132285746181186892047843328 (pow.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) 3)))) (+.f64 2 z)))) |
| 17.0ms | (pow.f64 (pow.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) 3) 3) |
| 17.0ms | (*.f64 (*.f64 (sqrt.f64 (*.f64 PI.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) |
| 2.0ms | (sqrt.f64 (*.f64 PI.f64 2)) |
4 calls:
| 353.0ms | (+.f64 (*.f64 (-.f64 316912650056936879084143652025/316912650057057350374175801344 (*.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) (+.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) -562949953421205/562949953421312))) (*.f64 (+.f64 5678427533549715134633014896091006013944685176209383187104014791596740501419439436594122795778098490726927930959796456992046408203125/5678427533559428832416592249125035424637823130369672345949142181098744438385921275985867583701277855943457200048954515105739075223552 (pow.f64 (pow.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) 3) 3)) (-.f64 4 (*.f64 z z)))) (*.f64 (*.f64 -5537752839100187/4398046511104 (-.f64 100433627766110534469812883687683627375011214126104286600625/100433627766186892221372630771322662657637687111424552206336 (*.f64 (*.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) (+.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) -562949953421205/562949953421312)) (*.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) (+.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) -562949953421205/562949953421312))))) (*.f64 (+.f64 31828687130190046991845674001698638924308767282431494685437358695710790509958860147515625/31828687130226345097944463881396533766429193651030253916189694521162207808802136034115584 (-.f64 (pow.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) 6) (*.f64 178405961588143256171617450107358831776190125/178405961588244985132285746181186892047843328 (pow.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) 3)))) (+.f64 2 z)))) |
| 100.0ms | (*.f64 (*.f64 (sqrt.f64 (*.f64 PI.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) |
| 30.0ms | (pow.f64 (pow.f64 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)) 3) 3) |
| 0.0ms | (sqrt.f64 (*.f64 PI.f64 2)) |
| 1× | egg-herbie |
Useful iterations: 0 (124.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5244 | 310084 |
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