Time bar (total: 50.8s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.9% | 0.1% | 0 |
| 0% | 99.9% | 0.1% | 1 |
| 0% | 99.9% | 0.1% | 2 |
| 0% | 99.9% | 0.1% | 3 |
| 0% | 99.9% | 0.1% | 4 |
| 0% | 99.9% | 0.1% | 5 |
| 0% | 99.9% | 0.1% | 6 |
| 0% | 99.9% | 0.1% | 7 |
| 15.6% | 84.3% | 0.1% | 8 |
| 15.6% | 84.3% | 0.1% | 9 |
| 15.6% | 84.3% | 0.1% | 10 |
| 30.4% | 69.4% | 0.1% | 11 |
| 30.4% | 69.4% | 0.1% | 12 |
| 30.4% | 69.4% | 0.1% | 13 |
| 39.6% | 60.3% | 0.1% | 14 |
Compiled 25 to 23 computations (8% saved)
| 1× | intervals |
| 90.0ms | 75× | body | 1024 | valid |
| 28.0ms | 135× | body | 128 | valid |
| 24.0ms | 31× | body | 512 | valid |
| 7.0ms | 15× | body | 256 | valid |
Compiled 49 to 48 computations (2% saved)
| 1× | egg-herbie |
Useful iterations: 0 (170.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4871 | 37 |
| 1 | 4871 | 37 |
1 alts after pruning (1 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 0 | 1 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 1 | 1 | 2 |
Compiled 48 to 44 computations (8.3% saved)
Found 4 expressions with local error:
| 0.1b | (/.f64 U (*.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) |
| 0.2b | (pow.f64 (/.f64 U (*.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 2) |
| 6.2b | (*.f64 (*.f64 (*.f64 -2 J) (cos.f64 (/.f64 K 2))) (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (*.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 2)))) |
| 11.5b | (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (*.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 2))) |
| 1× | rewrite-expression-head |
| 32× | add-exp-log_binary64_1139 |
| 22× | add-cbrt-cube_binary64_1137 |
| 16× | *-un-lft-identity_binary64_1101 |
| 15× | pow1_binary64_1162 |
| 13× | add-sqr-sqrt_binary64_1123 |
| 12× | add-cube-cbrt_binary64_1136 prod-exp_binary64_1150 |
| 9× | cbrt-unprod_binary64_1134 |
| 8× | sqrt-prod_binary64_1117 |
| 7× | associate-*r*_binary64_1041 unpow-prod-down_binary64_1180 |
| 6× | pow-prod-down_binary64_1172 times-frac_binary64_1107 div-exp_binary64_1152 |
| 4× | add-log-exp_binary64_1140 sqrt-div_binary64_1118 pow-exp_binary64_1169 |
| 3× | pow-unpow_binary64_1178 cbrt-undiv_binary64_1135 associate-/l*_binary64_1046 |
| 2× | flip3-+_binary64_1104 flip-+_binary64_1075 distribute-lft-out_binary64_1052 associate-*r/_binary64_1043 div-inv_binary64_1098 |
| 1× | pow1/2_binary64_1181 sqrt-pow1_binary64_1119 rem-sqrt-square_binary64_1114 associate-*l*_binary64_1042 *-commutative_binary64_1032 pow-pow_binary64_1173 pow-to-exp_binary64_1170 unpow2_binary64_1166 sqr-pow_binary64_1073 frac-2neg_binary64_1112 clear-num_binary64_1100 associate-/r*_binary64_1045 |
4 calls:
| 34.0ms | (*.f64 (*.f64 (*.f64 -2 J) (cos.f64 (/.f64 K 2))) (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (*.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 2)))) |
| 25.0ms | (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (*.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 2))) |
| 16.0ms | (pow.f64 (/.f64 U (*.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 2) |
| 12.0ms | (/.f64 U (*.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) |
Compiled 3313 to 2634 computations (20.5% saved)
4 calls:
| 1.7s | (*.f64 (*.f64 (*.f64 -2 J) (cos.f64 (/.f64 K 2))) (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (*.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 2)))) |
| 1.1s | (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (*.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 2))) |
| 570.0ms | (pow.f64 (/.f64 U (*.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 2) |
| 514.0ms | (/.f64 U (*.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) |
Compiled 4549 to 3906 computations (14.1% saved)
| 1× | egg-herbie |
Useful iterations: 0 (98.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4972 | 4007 |
| 1 | 4972 | 4007 |
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 145 | 7 | 152 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 145 | 8 | 153 |
Compiled 4592 to 3542 computations (22.9% saved)
Found 4 expressions with local error:
| 6.2b | (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (*.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 2))) (*.f64 (cos.f64 (/.f64 K 2)) (*.f64 J -2))) |
| 11.5b | (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (*.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 2))) |
| 11.5b | (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (*.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 2))) |
| 11.5b | (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (*.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 2))) |
| 1× | rewrite-expression-head |
| 17× | *-un-lft-identity_binary64_1101 |
| 16× | pow1_binary64_1162 sqrt-prod_binary64_1117 |
| 13× | add-exp-log_binary64_1139 add-cbrt-cube_binary64_1137 |
| 12× | add-sqr-sqrt_binary64_1123 |
| 9× | add-cube-cbrt_binary64_1136 |
| 8× | sqrt-div_binary64_1118 |
| 7× | associate-*l*_binary64_1042 |
| 6× | pow-prod-down_binary64_1172 prod-exp_binary64_1150 cbrt-unprod_binary64_1134 |
| 4× | add-log-exp_binary64_1140 flip3-+_binary64_1104 flip-+_binary64_1075 distribute-lft-out_binary64_1052 |
| 3× | pow1/2_binary64_1181 sqrt-pow1_binary64_1119 rem-sqrt-square_binary64_1114 |
| 2× | associate-*l/_binary64_1044 |
| 1× | associate-*r*_binary64_1041 *-commutative_binary64_1032 |
4 calls:
| 32.0ms | (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (*.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 2))) (*.f64 (cos.f64 (/.f64 K 2)) (*.f64 J -2))) |
| 17.0ms | (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (*.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 2))) |
| 17.0ms | (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (*.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 2))) |
| 17.0ms | (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (*.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 2))) |
Compiled 6993 to 5666 computations (19% saved)
4 calls:
| 1.7s | (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (*.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 2))) (*.f64 (cos.f64 (/.f64 K 2)) (*.f64 J -2))) |
| 1.2s | (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (*.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 2))) |
| 1.1s | (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (*.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 2))) |
| 1.1s | (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (*.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 2))) |
Compiled 17377 to 14304 computations (17.7% saved)
| 1× | egg-herbie |
Useful iterations: 0 (41.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5029 | 4934 |
8 alts after pruning (6 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 160 | 0 | 160 |
| Fresh | 0 | 6 | 6 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 160 | 8 | 168 |
Compiled 13437 to 10665 computations (20.6% saved)
Found 4 expressions with local error:
| 4.2b | (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (*.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 6))) |
| 6.1b | (sqrt.f64 (+.f64 (*.f64 1 1) (-.f64 (*.f64 (pow.f64 (/.f64 U (*.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 2) (pow.f64 (/.f64 U (*.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 2)) (*.f64 1 (pow.f64 (/.f64 U (*.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 2))))) |
| 15.0b | (-.f64 (*.f64 (pow.f64 (/.f64 U (*.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 2) (pow.f64 (/.f64 U (*.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 2)) (*.f64 1 (pow.f64 (/.f64 U (*.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 2))) |
| 22.7b | (/.f64 (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (*.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 6))) (*.f64 (cos.f64 (/.f64 K 2)) (*.f64 J -2))) (sqrt.f64 (+.f64 (*.f64 1 1) (-.f64 (*.f64 (pow.f64 (/.f64 U (*.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 2) (pow.f64 (/.f64 U (*.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 2)) (*.f64 1 (pow.f64 (/.f64 U (*.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 2)))))) |
| 1× | rewrite-expression-head |
| 18× | add-exp-log_binary64_1139 add-cbrt-cube_binary64_1137 |
| 16× | sqrt-prod_binary64_1117 |
| 15× | *-un-lft-identity_binary64_1101 |
| 12× | add-sqr-sqrt_binary64_1123 |
| 10× | add-cube-cbrt_binary64_1136 |
| 8× | sqrt-div_binary64_1118 |
| 7× | times-frac_binary64_1107 associate-/r*_binary64_1045 |
| 6× | pow1_binary64_1162 prod-exp_binary64_1150 add-log-exp_binary64_1140 cbrt-unprod_binary64_1134 |
| 4× | div-exp_binary64_1152 cbrt-undiv_binary64_1135 distribute-lft-out_binary64_1052 flip3-+_binary64_1104 flip-+_binary64_1075 |
| 2× | associate-*l/_binary64_1044 associate-/l/_binary64_1048 associate-/r/_binary64_1047 pow1/2_binary64_1181 sqrt-pow1_binary64_1119 rem-sqrt-square_binary64_1114 |
| 1× | frac-2neg_binary64_1112 clear-num_binary64_1100 div-inv_binary64_1098 associate-/l*_binary64_1046 diff-log_binary64_1193 flip3--_binary64_1105 sub-neg_binary64_1094 flip--_binary64_1076 cancel-sign-sub-inv_binary64_1067 distribute-rgt-out--_binary64_1055 |
4 calls:
| 61.0ms | (/.f64 (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (*.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 6))) (*.f64 (cos.f64 (/.f64 K 2)) (*.f64 J -2))) (sqrt.f64 (+.f64 (*.f64 1 1) (-.f64 (*.f64 (pow.f64 (/.f64 U (*.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 2) (pow.f64 (/.f64 U (*.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 2)) (*.f64 1 (pow.f64 (/.f64 U (*.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 2)))))) |
| 30.0ms | (sqrt.f64 (+.f64 (*.f64 1 1) (-.f64 (*.f64 (pow.f64 (/.f64 U (*.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 2) (pow.f64 (/.f64 U (*.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 2)) (*.f64 1 (pow.f64 (/.f64 U (*.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 2))))) |
| 24.0ms | (-.f64 (*.f64 (pow.f64 (/.f64 U (*.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 2) (pow.f64 (/.f64 U (*.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 2)) (*.f64 1 (pow.f64 (/.f64 U (*.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 2))) |
| 14.0ms | (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (*.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 6))) |
Compiled 8883 to 7145 computations (19.6% saved)
4 calls:
| 8.2s | (/.f64 (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (*.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 6))) (*.f64 (cos.f64 (/.f64 K 2)) (*.f64 J -2))) (sqrt.f64 (+.f64 (*.f64 1 1) (-.f64 (*.f64 (pow.f64 (/.f64 U (*.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 2) (pow.f64 (/.f64 U (*.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 2)) (*.f64 1 (pow.f64 (/.f64 U (*.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 2)))))) |
| 2.5s | (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 U (*.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 6))) |
| 2.2s | (-.f64 (*.f64 (pow.f64 (/.f64 U (*.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 2) (pow.f64 (/.f64 U (*.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 2)) (*.f64 1 (pow.f64 (/.f64 U (*.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 2))) |
| 1.6s | (sqrt.f64 (+.f64 (*.f64 1 1) (-.f64 (*.f64 (pow.f64 (/.f64 U (*.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 2) (pow.f64 (/.f64 U (*.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 2)) (*.f64 1 (pow.f64 (/.f64 U (*.f64 (*.f64 2 J) (cos.f64 (/.f64 K 2)))) 2))))) |
Compiled 11939 to 10058 computations (15.8% saved)
| 1× | egg-herbie |
Useful iterations: 0 (108.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4967 | 8216 |
| 1 | 4967 | 8216 |
8 alts after pruning (5 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 156 | 0 | 156 |
| Fresh | 0 | 5 | 5 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 156 | 8 | 164 |
Compiled 10369 to 8179 computations (21.1% saved)
Found 4 expressions with local error:
| 0.2b | (pow.f64 (/.f64 1/2 J) 2) |
| 6.2b | (*.f64 (*.f64 (*.f64 -2 J) (cos.f64 (/.f64 K 2))) (sqrt.f64 (+.f64 1 (*.f64 (pow.f64 (/.f64 1/2 J) 2) (pow.f64 (/.f64 U (cos.f64 (/.f64 K 2))) 2))))) |
| 11.5b | (sqrt.f64 (+.f64 1 (*.f64 (pow.f64 (/.f64 1/2 J) 2) (pow.f64 (/.f64 U (cos.f64 (/.f64 K 2))) 2)))) |
| 16.6b | (*.f64 (pow.f64 (/.f64 1/2 J) 2) (pow.f64 (/.f64 U (cos.f64 (/.f64 K 2))) 2)) |
| 1× | rewrite-expression-head |
| 72× | add-sqr-sqrt_binary64_1123 |
| 59× | unpow-prod-down_binary64_1180 |
| 48× | add-exp-log_binary64_1139 |
| 37× | times-frac_binary64_1107 |
| 31× | add-cube-cbrt_binary64_1136 *-un-lft-identity_binary64_1101 |
| 25× | unswap-sqr_binary64_1069 |
| 24× | associate-*r*_binary64_1041 |
| 22× | prod-exp_binary64_1150 |
| 19× | associate-*l*_binary64_1042 |
| 18× | pow-exp_binary64_1169 |
| 15× | pow1_binary64_1162 add-cbrt-cube_binary64_1137 |
| 13× | unpow2_binary64_1166 sqr-pow_binary64_1073 |
| 9× | pow-to-exp_binary64_1170 div-exp_binary64_1152 |
| 7× | pow-prod-down_binary64_1172 cbrt-unprod_binary64_1134 |
| 6× | sqrt-prod_binary64_1117 |
| 4× | add-log-exp_binary64_1140 sqrt-div_binary64_1118 |
| 3× | div-inv_binary64_1098 pow-unpow_binary64_1178 |
| 2× | *-commutative_binary64_1032 flip3-+_binary64_1104 flip-+_binary64_1075 associate-*r/_binary64_1043 |
| 1× | pow1/2_binary64_1181 sqrt-pow1_binary64_1119 rem-sqrt-square_binary64_1114 pow-pow_binary64_1173 |
4 calls:
| 34.0ms | (*.f64 (pow.f64 (/.f64 1/2 J) 2) (pow.f64 (/.f64 U (cos.f64 (/.f64 K 2))) 2)) |
| 26.0ms | (*.f64 (*.f64 (*.f64 -2 J) (cos.f64 (/.f64 K 2))) (sqrt.f64 (+.f64 1 (*.f64 (pow.f64 (/.f64 1/2 J) 2) (pow.f64 (/.f64 U (cos.f64 (/.f64 K 2))) 2))))) |
| 9.0ms | (pow.f64 (/.f64 1/2 J) 2) |
| 7.0ms | (sqrt.f64 (+.f64 1 (*.f64 (pow.f64 (/.f64 1/2 J) 2) (pow.f64 (/.f64 U (cos.f64 (/.f64 K 2))) 2)))) |
Compiled 6095 to 4944 computations (18.9% saved)
4 calls:
| 1.7s | (*.f64 (*.f64 (*.f64 -2 J) (cos.f64 (/.f64 K 2))) (sqrt.f64 (+.f64 1 (*.f64 (pow.f64 (/.f64 1/2 J) 2) (pow.f64 (/.f64 U (cos.f64 (/.f64 K 2))) 2))))) |
| 1.0s | (sqrt.f64 (+.f64 1 (*.f64 (pow.f64 (/.f64 1/2 J) 2) (pow.f64 (/.f64 U (cos.f64 (/.f64 K 2))) 2)))) |
| 858.0ms | (*.f64 (pow.f64 (/.f64 1/2 J) 2) (pow.f64 (/.f64 U (cos.f64 (/.f64 K 2))) 2)) |
| 61.0ms | (pow.f64 (/.f64 1/2 J) 2) |
Compiled 4140 to 3551 computations (14.2% saved)
| 1× | egg-herbie |
Useful iterations: 0 (104.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4987 | 5656 |
| 1 | 4987 | 5656 |
8 alts after pruning (4 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 212 | 0 | 212 |
| Fresh | 0 | 4 | 4 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 3 | 3 |
| Total | 212 | 8 | 220 |
Compiled 6701 to 5219 computations (22.1% saved)
Total 9.9b remaining (99.6%)
Threshold costs 0b (0%)
Compiled 8347 to 7372 computations (11.7% saved)
Compiled 24 to 22 computations (8.3% saved)
| 1× | egg-herbie |
Useful iterations: 0 (2.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 125 |
| 1 | 39 | 125 |
| 1× | intervals |
| 2.3s | 2043× | body | 1024 | valid |
| 962.0ms | 4461× | body | 128 | valid |
| 781.0ms | 994× | body | 512 | valid |
| 249.0ms | 499× | body | 256 | valid |
| 5.0ms | 3× | body | 2048 | valid |
| 1.0ms | 1× | body | 1024 | invalid |
| 0.0ms | 2× | body | 128 | invalid |
Compiled 1440 to 1268 computations (11.9% saved)
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