Time bar (total: 3.6s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.9% | 0.1% | 0 |
| 0% | 99.9% | 0.1% | 1 |
| 0% | 50% | 50% | 2 |
| 0% | 50% | 50% | 3 |
| 0% | 50% | 50% | 4 |
| 6.2% | 43.7% | 50% | 5 |
| 9.4% | 28.1% | 62.5% | 6 |
| 12.5% | 25% | 62.5% | 7 |
| 15.6% | 15.6% | 68.8% | 8 |
| 16.8% | 14.4% | 68.8% | 9 |
| 18.5% | 8.8% | 72.7% | 10 |
| 19.2% | 7.7% | 73.1% | 11 |
| 20.1% | 4.6% | 75.2% | 12 |
| 20.5% | 4% | 75.5% | 13 |
| 21% | 2.4% | 76.6% | 14 |
Compiled 23 to 20 computations (13% saved)
| 1× | intervals |
| 14.0ms | 256× | body | 128 | valid |
| 1.0ms | 13× | body | 128 | invalid |
| 0.0ms | 6× | body | 128 | nan |
Compiled 47 to 41 computations (12.8% saved)
| 1× | egg-herbie |
| 189× | distribute-rgt-in_binary64 |
| 173× | cancel-sign-sub-inv_binary64 |
| 159× | sub-neg_binary64 |
| 156× | distribute-lft-in_binary64 |
| 149× | unsub-neg_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 24 |
| 1 | 32 | 21 |
| 2 | 71 | 21 |
| 3 | 150 | 21 |
| 4 | 266 | 21 |
| 5 | 460 | 21 |
| 6 | 618 | 21 |
| 7 | 987 | 21 |
| 8 | 1185 | 21 |
| 9 | 1148 | 21 |
| 10 | 1191 | 21 |
| 11 | 1190 | 21 |
| 12 | 1187 | 21 |
| 13 | 1049 | 21 |
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 |
| Status | Error | Program |
| 0.1b | (*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand))) | |
| ▶ | 0.1b | (*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a 1/3) 9))))) |
Compiled 92 to 77 computations (16.3% saved)
Found 4 expressions with local error:
| 0.0b | (*.f64 (-.f64 a 1/3) 9) |
| 0.1b | (*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a 1/3) 9))))) |
| 0.2b | (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a 1/3) 9))) |
| 0.4b | (sqrt.f64 (*.f64 (-.f64 a 1/3) 9)) |
| 1× | rewrite-expression-head |
| 25× | add-sqr-sqrt_binary64 |
| 23× | *-un-lft-identity_binary64 |
| 17× | add-cube-cbrt_binary64 |
| 12× | times-frac_binary64 |
| 11× | pow1_binary64 |
4 calls:
| 14.0ms | (*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a 1/3) 9))))) |
| 7.0ms | (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a 1/3) 9))) |
| 7.0ms | (*.f64 (-.f64 a 1/3) 9) |
| 5.0ms | (sqrt.f64 (*.f64 (-.f64 a 1/3) 9)) |
Compiled 2230 to 1765 computations (20.9% saved)
4 calls:
| 30.0ms | (*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a 1/3) 9))))) |
| 22.0ms | (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a 1/3) 9))) |
| 9.0ms | (*.f64 (-.f64 a 1/3) 9) |
| 7.0ms | (sqrt.f64 (*.f64 (-.f64 a 1/3) 9)) |
Compiled 783 to 624 computations (20.3% saved)
| 1× | egg-herbie |
| 682× | distribute-rgt-in_binary64 |
| 667× | distribute-lft-in_binary64 |
| 297× | associate-*l/_binary64 |
| 279× | associate-*r/_binary64 |
| 216× | times-frac_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 192 | 2238 |
| 1 | 454 | 2076 |
| 2 | 1357 | 2067 |
| 3 | 4811 | 2067 |
| 4 | 5007 | 2067 |
6 alts after pruning (6 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 98 | 6 | 104 |
| Fresh | 1 | 0 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 100 | 6 | 106 |
| Status | Error | Program |
| 0.1b | (+.f64 -1/3 (+.f64 a (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))) | |
| 31.0b | (*.f64 (-.f64 a 1/3) (+.f64 1 (*.f64 (/.f64 (sqrt.f64 rand) (sqrt.f64 (+.f64 -1/3 a))) (/.f64 (sqrt.f64 rand) 3)))) | |
| 0.1b | (*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 3)))) | |
| 9.0b | (*.f64 (sqrt.f64 (*.f64 (+.f64 -1/3 a) (+.f64 1 (/.f64 rand (sqrt.f64 (+.f64 -3 (*.f64 a 9))))))) (sqrt.f64 (*.f64 (+.f64 -1/3 a) (+.f64 1 (/.f64 rand (sqrt.f64 (+.f64 -3 (*.f64 a 9)))))))) | |
| ▶ | 0.1b | (*.f64 (-.f64 a 1/3) (+.f64 1 (*.f64 rand (/.f64 1 (sqrt.f64 (+.f64 -3 (*.f64 a 9))))))) |
| 0.5b | (*.f64 (sqrt.f64 (-.f64 a 1/3)) (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 1 (/.f64 rand (sqrt.f64 (+.f64 -3 (*.f64 a 9))))))) |
Compiled 2083 to 1634 computations (21.6% saved)
Found 4 expressions with local error:
| 0.1b | (*.f64 (-.f64 a 1/3) (+.f64 1 (*.f64 rand (/.f64 1 (sqrt.f64 (+.f64 -3 (*.f64 a 9))))))) |
| 0.2b | (*.f64 rand (/.f64 1 (sqrt.f64 (+.f64 -3 (*.f64 a 9))))) |
| 0.3b | (/.f64 1 (sqrt.f64 (+.f64 -3 (*.f64 a 9)))) |
| 0.4b | (sqrt.f64 (+.f64 -3 (*.f64 a 9))) |
| 1× | rewrite-expression-head |
| 53× | add-sqr-sqrt_binary64 |
| 40× | times-frac_binary64 |
| 40× | *-un-lft-identity_binary64 |
| 36× | add-cube-cbrt_binary64 |
| 27× | associate-*r*_binary64 |
4 calls:
| 12.0ms | (*.f64 rand (/.f64 1 (sqrt.f64 (+.f64 -3 (*.f64 a 9))))) |
| 8.0ms | (*.f64 (-.f64 a 1/3) (+.f64 1 (*.f64 rand (/.f64 1 (sqrt.f64 (+.f64 -3 (*.f64 a 9))))))) |
| 6.0ms | (/.f64 1 (sqrt.f64 (+.f64 -3 (*.f64 a 9)))) |
| 3.0ms | (sqrt.f64 (+.f64 -3 (*.f64 a 9))) |
Compiled 3445 to 2881 computations (16.4% saved)
4 calls:
| 33.0ms | (*.f64 (-.f64 a 1/3) (+.f64 1 (*.f64 rand (/.f64 1 (sqrt.f64 (+.f64 -3 (*.f64 a 9))))))) |
| 26.0ms | (*.f64 rand (/.f64 1 (sqrt.f64 (+.f64 -3 (*.f64 a 9))))) |
| 7.0ms | (/.f64 1 (sqrt.f64 (+.f64 -3 (*.f64 a 9)))) |
| 6.0ms | (sqrt.f64 (+.f64 -3 (*.f64 a 9))) |
Compiled 843 to 671 computations (20.4% saved)
| 1× | egg-herbie |
| 629× | distribute-rgt-in_binary64 |
| 610× | distribute-lft-in_binary64 |
| 374× | times-frac_binary64 |
| 211× | associate-*l/_binary64 |
| 195× | associate-*r/_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 195 | 3140 |
| 1 | 495 | 2938 |
| 2 | 1549 | 2814 |
| 3 | 4571 | 2751 |
| 4 | 4849 | 2751 |
| 5 | 5057 | 2751 |
6 alts after pruning (5 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 128 | 0 | 128 |
| Fresh | 0 | 5 | 5 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 128 | 6 | 134 |
| Status | Error | Program |
| 0.1b | (+.f64 -1/3 (+.f64 a (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))) | |
| 31.0b | (*.f64 (-.f64 a 1/3) (+.f64 1 (*.f64 (/.f64 (sqrt.f64 rand) (sqrt.f64 (+.f64 -1/3 a))) (/.f64 (sqrt.f64 rand) 3)))) | |
| ▶ | 0.1b | (*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 3)))) |
| 9.0b | (*.f64 (sqrt.f64 (*.f64 (+.f64 -1/3 a) (+.f64 1 (/.f64 rand (sqrt.f64 (+.f64 -3 (*.f64 a 9))))))) (sqrt.f64 (*.f64 (+.f64 -1/3 a) (+.f64 1 (/.f64 rand (sqrt.f64 (+.f64 -3 (*.f64 a 9)))))))) | |
| ✓ | 0.1b | (*.f64 (-.f64 a 1/3) (+.f64 1 (*.f64 rand (/.f64 1 (sqrt.f64 (+.f64 -3 (*.f64 a 9))))))) |
| 0.5b | (*.f64 (sqrt.f64 (-.f64 a 1/3)) (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 1 (/.f64 rand (sqrt.f64 (+.f64 -3 (*.f64 a 9))))))) |
Compiled 2119 to 1722 computations (18.7% saved)
Found 4 expressions with local error:
| 0.0b | (sqrt.f64 (+.f64 -1/3 a)) |
| 0.1b | (*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 3)))) |
| 0.2b | (/.f64 rand (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 3)) |
| 0.3b | (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 3) |
| 1× | rewrite-expression-head |
| 21× | add-sqr-sqrt_binary64 |
| 20× | *-un-lft-identity_binary64 |
| 13× | add-cbrt-cube_binary64 |
| 13× | add-exp-log_binary64 |
| 12× | associate-*l*_binary64 |
4 calls:
| 12.0ms | (*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 3)))) |
| 7.0ms | (/.f64 rand (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 3)) |
| 7.0ms | (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 3) |
| 6.0ms | (sqrt.f64 (+.f64 -1/3 a)) |
Compiled 2025 to 1612 computations (20.4% saved)
4 calls:
| 32.0ms | (*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 3)))) |
| 24.0ms | (/.f64 rand (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 3)) |
| 7.0ms | (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 3) |
| 7.0ms | (sqrt.f64 (+.f64 -1/3 a)) |
Compiled 744 to 598 computations (19.6% saved)
| 1× | egg-herbie |
| 892× | times-frac_binary64 |
| 767× | distribute-rgt-in_binary64 |
| 743× | distribute-lft-in_binary64 |
| 130× | associate-*l*_binary64 |
| 105× | associate-*r*_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 191 | 2010 |
| 1 | 473 | 1853 |
| 2 | 1590 | 1853 |
| 3 | 5190 | 1853 |
5 alts after pruning (3 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 79 | 2 | 81 |
| Fresh | 3 | 1 | 4 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 82 | 5 | 87 |
| Status | Error | Program |
| ▶ | 0.1b | (+.f64 -1/3 (+.f64 a (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))) |
| ✓ | 0.1b | (*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 3)))) |
| ✓ | 0.1b | (*.f64 (-.f64 a 1/3) (+.f64 1 (*.f64 rand (/.f64 1 (sqrt.f64 (+.f64 -3 (*.f64 a 9))))))) |
| 0.5b | (*.f64 (sqrt.f64 (-.f64 a 1/3)) (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 1 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 -1/3 a))))))) | |
| 0.2b | (*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 1 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 rand 3))))) |
Compiled 1474 to 1168 computations (20.8% saved)
Found 4 expressions with local error:
| 0.0b | (sqrt.f64 (+.f64 -1/3 a)) |
| 0.0b | (+.f64 a (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))) |
| 0.2b | (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) |
| 0.4b | (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))) |
| 1× | rewrite-expression-head |
| 14× | add-sqr-sqrt_binary64 |
| 13× | *-un-lft-identity_binary64 |
| 12× | pow1_binary64 |
| 11× | add-cbrt-cube_binary64 |
| 11× | add-exp-log_binary64 |
4 calls:
| 8.0ms | (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))) |
| 7.0ms | (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) |
| 3.0ms | (sqrt.f64 (+.f64 -1/3 a)) |
| 3.0ms | (+.f64 a (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))) |
Compiled 1255 to 960 computations (23.5% saved)
4 calls:
| 19.0ms | (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))) |
| 19.0ms | (+.f64 a (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))))) |
| 17.0ms | (*.f64 rand (sqrt.f64 (+.f64 -1/3 a))) |
| 6.0ms | (sqrt.f64 (+.f64 -1/3 a)) |
Compiled 732 to 571 computations (22% saved)
| 1× | egg-herbie |
| 532× | distribute-rgt-in_binary64 |
| 517× | distribute-lft-in_binary64 |
| 353× | *-commutative_binary64 |
| 321× | distribute-rgt-neg-in_binary64 |
| 301× | unsub-neg_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 116 | 1198 |
| 1 | 259 | 1146 |
| 2 | 754 | 1143 |
| 3 | 1574 | 1143 |
| 4 | 3936 | 1143 |
| 5 | 4565 | 1143 |
| 6 | 4965 | 1143 |
5 alts after pruning (2 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 67 | 0 | 67 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 67 | 5 | 72 |
| Status | Error | Program |
| 0.1b | (+.f64 -1/3 (+.f64 a (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))) | |
| 0.1b | (*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (*.f64 (sqrt.f64 (+.f64 -1/3 a)) 3)))) | |
| 0.1b | (*.f64 (-.f64 a 1/3) (+.f64 1 (*.f64 rand (/.f64 1 (sqrt.f64 (+.f64 -3 (*.f64 a 9))))))) | |
| 0.5b | (*.f64 (sqrt.f64 (-.f64 a 1/3)) (*.f64 (sqrt.f64 (+.f64 -1/3 a)) (+.f64 1 (/.f64 rand (*.f64 3 (sqrt.f64 (+.f64 -1/3 a))))))) | |
| 0.2b | (*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 1 (/.f64 (sqrt.f64 (+.f64 -1/3 a)) (/.f64 rand 3))))) |
Compiled 972 to 747 computations (23.1% saved)
Total 0.1b remaining (89%)
Threshold costs 0.1b (89%)
Compiled 7654 to 6226 computations (18.7% saved)
| 1× | egg-herbie |
| 2× | +-commutative_binary64 |
| 1× | *-commutative_binary64 |
| 1× | sub-neg_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 21 |
| 1 | 21 | 21 |
| 2 | 22 | 21 |
| 3 | 19 | 21 |
Compiled 16 to 13 computations (18.8% saved)
| 1× | intervals |
| 441.0ms | 8000× | body | 128 | valid |
| 14.0ms | 260× | body | 128 | invalid |
| 12.0ms | 240× | body | 128 | nan |
Compiled 129 to 107 computations (17.1% saved)
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