Time bar (total: 4.4s)
| 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 |
| 21.0ms | 256× | body | 128 | valid |
| 1.0ms | 8× | body | 128 | nan |
| 0.0ms | 6× | body | 128 | invalid |
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 |
| ▶ | 0.2b | (*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a 1/3) 9))))) |
| 0.2b | (*.f64 (-.f64 a (/.f64 1 3)) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 9 (-.f64 a (/.f64 1 3))))) rand))) |
Compiled 92 to 77 computations (16.3% saved)
Found 4 expressions with local error:
| 0.1b | (*.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:
| 12.0ms | (*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a 1/3) 9))))) |
| 6.0ms | (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a 1/3) 9))) |
| 5.0ms | (*.f64 (-.f64 a 1/3) 9) |
| 4.0ms | (sqrt.f64 (*.f64 (-.f64 a 1/3) 9)) |
Compiled 2230 to 1765 computations (20.9% saved)
4 calls:
| 24.0ms | (*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a 1/3) 9))))) |
| 18.0ms | (/.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 783 to 624 computations (20.3% saved)
| 1× | egg-herbie |
| 686× | distribute-rgt-in_binary64 |
| 671× | distribute-lft-in_binary64 |
| 299× | associate-*l/_binary64 |
| 277× | associate-*r/_binary64 |
| 200× | times-frac_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 192 | 2238 |
| 1 | 447 | 2076 |
| 2 | 1360 | 2067 |
| 3 | 4770 | 2067 |
| 4 | 4968 | 2067 |
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 97 | 7 | 104 |
| Fresh | 1 | 0 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 99 | 7 | 106 |
| Status | Error | Program |
| 0.6b | (*.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))))))) | |
| 0.3b | (+.f64 -1/3 (+.f64 a (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))) | |
| 35.5b | (/.f64 (*.f64 (-.f64 (*.f64 a a) 1/9) (+.f64 1 (/.f64 rand (sqrt.f64 (+.f64 -3 (*.f64 a 9)))))) (+.f64 a 1/3)) | |
| 39.7b | (/.f64 (*.f64 (-.f64 (*.f64 a a) 1/9) (-.f64 1 (*.f64 rand (/.f64 rand (+.f64 -3 (*.f64 a 9)))))) (*.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 (/.f64 rand (sqrt.f64 (+.f64 -1/3 a))) (sqrt.f64 9)))) |
| 0.2b | (*.f64 (-.f64 a 1/3) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (+.f64 -1/3 a))) (*.f64 1/3 rand)))) | |
| 31.7b | (*.f64 (-.f64 a 1/3) (+.f64 1 (*.f64 (/.f64 (sqrt.f64 rand) (sqrt.f64 (+.f64 -1/3 a))) (/.f64 (sqrt.f64 rand) 3)))) |
Compiled 2131 to 1668 computations (21.7% 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 (/.f64 rand (sqrt.f64 (+.f64 -1/3 a))) (sqrt.f64 9)))) |
| 0.2b | (/.f64 rand (sqrt.f64 (+.f64 -1/3 a))) |
| 0.3b | (/.f64 (/.f64 rand (sqrt.f64 (+.f64 -1/3 a))) (sqrt.f64 9)) |
| 1× | rewrite-expression-head |
| 330× | times-frac_binary64 |
| 233× | *-un-lft-identity_binary64 |
| 188× | sqrt-prod_binary64 |
| 182× | add-sqr-sqrt_binary64 |
| 177× | add-cube-cbrt_binary64 |
4 calls:
| 38.0ms | (*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 (/.f64 rand (sqrt.f64 (+.f64 -1/3 a))) (sqrt.f64 9)))) |
| 13.0ms | (/.f64 (/.f64 rand (sqrt.f64 (+.f64 -1/3 a))) (sqrt.f64 9)) |
| 5.0ms | (/.f64 rand (sqrt.f64 (+.f64 -1/3 a))) |
| 4.0ms | (sqrt.f64 (+.f64 -1/3 a)) |
Compiled 6333 to 5015 computations (20.8% saved)
4 calls:
| 26.0ms | (*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 (/.f64 rand (sqrt.f64 (+.f64 -1/3 a))) (sqrt.f64 9)))) |
| 20.0ms | (/.f64 (/.f64 rand (sqrt.f64 (+.f64 -1/3 a))) (sqrt.f64 9)) |
| 18.0ms | (/.f64 rand (sqrt.f64 (+.f64 -1/3 a))) |
| 5.0ms | (sqrt.f64 (+.f64 -1/3 a)) |
Compiled 905 to 730 computations (19.3% saved)
| 1× | egg-herbie |
| 591× | associate-*l/_binary64 |
| 559× | associate-*r/_binary64 |
| 469× | associate-/r*_binary64 |
| 416× | times-frac_binary64 |
| 358× | associate-/l*_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 358 | 7875 |
| 1 | 821 | 7703 |
| 2 | 2257 | 7703 |
| 3 | 4990 | 7703 |
| 4 | 4958 | 7703 |
7 alts after pruning (6 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 297 | 1 | 298 |
| Fresh | 1 | 5 | 6 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 298 | 7 | 305 |
| Status | Error | Program |
| 0.6b | (*.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))))))) | |
| 0.3b | (+.f64 -1/3 (+.f64 a (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))) | |
| 35.5b | (/.f64 (*.f64 (-.f64 (*.f64 a a) 1/9) (+.f64 1 (/.f64 rand (sqrt.f64 (+.f64 -3 (*.f64 a 9)))))) (+.f64 a 1/3)) | |
| 39.7b | (/.f64 (*.f64 (-.f64 (*.f64 a a) 1/9) (-.f64 1 (*.f64 rand (/.f64 rand (+.f64 -3 (*.f64 a 9)))))) (*.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 1/3 (sqrt.f64 (-.f64 a 1/3)))))) |
| ✓ | 0.1b | (*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 (/.f64 rand (sqrt.f64 (+.f64 -1/3 a))) (sqrt.f64 9)))) |
| 0.2b | (*.f64 (-.f64 a 1/3) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (+.f64 -1/3 a))) (*.f64 1/3 rand)))) |
Compiled 4472 to 3477 computations (22.2% saved)
Found 4 expressions with local error:
| 0.0b | (sqrt.f64 (-.f64 a 1/3)) |
| 0.1b | (*.f64 (-.f64 a 1/3) (+.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (-.f64 a 1/3)))))) |
| 0.2b | (*.f64 rand (/.f64 1/3 (sqrt.f64 (-.f64 a 1/3)))) |
| 0.4b | (/.f64 1/3 (sqrt.f64 (-.f64 a 1/3))) |
| 1× | rewrite-expression-head |
| 69× | add-sqr-sqrt_binary64 |
| 58× | *-un-lft-identity_binary64 |
| 50× | times-frac_binary64 |
| 41× | sqrt-prod_binary64 |
| 40× | add-cube-cbrt_binary64 |
4 calls:
| 12.0ms | (*.f64 rand (/.f64 1/3 (sqrt.f64 (-.f64 a 1/3)))) |
| 6.0ms | (*.f64 (-.f64 a 1/3) (+.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (-.f64 a 1/3)))))) |
| 5.0ms | (/.f64 1/3 (sqrt.f64 (-.f64 a 1/3))) |
| 3.0ms | (sqrt.f64 (-.f64 a 1/3)) |
Compiled 3069 to 2481 computations (19.2% saved)
4 calls:
| 24.0ms | (*.f64 (-.f64 a 1/3) (+.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (-.f64 a 1/3)))))) |
| 18.0ms | (*.f64 rand (/.f64 1/3 (sqrt.f64 (-.f64 a 1/3)))) |
| 6.0ms | (/.f64 1/3 (sqrt.f64 (-.f64 a 1/3))) |
| 5.0ms | (sqrt.f64 (-.f64 a 1/3)) |
Compiled 758 to 610 computations (19.5% saved)
| 1× | egg-herbie |
| 653× | distribute-rgt-in_binary64 |
| 636× | distribute-lft-in_binary64 |
| 254× | times-frac_binary64 |
| 244× | associate-/l*_binary64 |
| 201× | associate-*l*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 219 | 2986 |
| 1 | 520 | 2847 |
| 2 | 1800 | 2798 |
| 3 | 4884 | 2798 |
| 4 | 4963 | 2798 |
7 alts after pruning (5 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 82 | 0 | 82 |
| Fresh | 0 | 5 | 5 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 82 | 7 | 89 |
| Status | Error | Program |
| 0.6b | (*.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))))))) | |
| 0.3b | (+.f64 -1/3 (+.f64 a (*.f64 1/3 (*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))) | |
| 35.5b | (/.f64 (*.f64 (-.f64 (*.f64 a a) 1/9) (+.f64 1 (/.f64 rand (sqrt.f64 (+.f64 -3 (*.f64 a 9)))))) (+.f64 a 1/3)) | |
| 39.7b | (/.f64 (*.f64 (-.f64 (*.f64 a a) 1/9) (-.f64 1 (*.f64 rand (/.f64 rand (+.f64 -3 (*.f64 a 9)))))) (*.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 1/3 (sqrt.f64 (-.f64 a 1/3)))))) |
| ✓ | 0.1b | (*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 (/.f64 rand (sqrt.f64 (+.f64 -1/3 a))) (sqrt.f64 9)))) |
| ▶ | 0.2b | (*.f64 (-.f64 a 1/3) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (+.f64 -1/3 a))) (*.f64 1/3 rand)))) |
Compiled 1400 to 1107 computations (20.9% saved)
Found 4 expressions with local error:
| 0.1b | (*.f64 (-.f64 a 1/3) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (+.f64 -1/3 a))) (*.f64 1/3 rand)))) |
| 0.3b | (*.f64 (/.f64 1 (sqrt.f64 (+.f64 -1/3 a))) (*.f64 1/3 rand)) |
| 0.3b | (/.f64 1 (sqrt.f64 (+.f64 -1/3 a))) |
| 0.3b | (*.f64 1/3 rand) |
| 1× | rewrite-expression-head |
| 54× | *-un-lft-identity_binary64 |
| 44× | add-sqr-sqrt_binary64 |
| 42× | times-frac_binary64 |
| 38× | add-cube-cbrt_binary64 |
| 35× | associate-*l*_binary64 |
4 calls:
| 10.0ms | (*.f64 (/.f64 1 (sqrt.f64 (+.f64 -1/3 a))) (*.f64 1/3 rand)) |
| 8.0ms | (*.f64 (-.f64 a 1/3) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (+.f64 -1/3 a))) (*.f64 1/3 rand)))) |
| 7.0ms | (/.f64 1 (sqrt.f64 (+.f64 -1/3 a))) |
| 3.0ms | (*.f64 1/3 rand) |
Compiled 3340 to 2769 computations (17.1% saved)
4 calls:
| 77.0ms | (*.f64 (-.f64 a 1/3) (+.f64 1 (*.f64 (/.f64 1 (sqrt.f64 (+.f64 -1/3 a))) (*.f64 1/3 rand)))) |
| 20.0ms | (*.f64 (/.f64 1 (sqrt.f64 (+.f64 -1/3 a))) (*.f64 1/3 rand)) |
| 6.0ms | (*.f64 1/3 rand) |
| 5.0ms | (/.f64 1 (sqrt.f64 (+.f64 -1/3 a))) |
Compiled 757 to 611 computations (19.3% saved)
| 1× | egg-herbie |
| 514× | times-frac_binary64 |
| 450× | associate-*l/_binary64 |
| 308× | associate-*r/_binary64 |
| 223× | associate-*l*_binary64 |
| 218× | associate-/l*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 209 | 2716 |
| 1 | 510 | 2541 |
| 2 | 1776 | 2468 |
| 3 | 4316 | 2419 |
| 4 | 4968 | 2419 |
| 5 | 4948 | 2419 |
4 alts after pruning (2 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 138 | 1 | 139 |
| Fresh | 3 | 1 | 4 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 2 | 2 |
| Total | 142 | 4 | 146 |
| Status | Error | Program |
| 0.5b | (*.f64 (sqrt.f64 (-.f64 a 1/3)) (+.f64 (*.f64 1/3 rand) (sqrt.f64 (-.f64 a 1/3)))) | |
| 0.1b | (*.f64 (-.f64 a 1/3) (+.f64 1 (*.f64 rand (/.f64 1/3 (sqrt.f64 (-.f64 a 1/3)))))) | |
| 0.3b | (+.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 (/.f64 rand (sqrt.f64 (+.f64 -1/3 a))) (sqrt.f64 9)))) |
Compiled 1887 to 1534 computations (18.7% saved)
Total 0.1b remaining (82.8%)
Threshold costs 0.1b (82.8%)
Compiled 10414 to 8454 computations (18.8% saved)
| 1× | egg-herbie |
| 2× | +-commutative_binary64 |
| 2× | *-commutative_binary64 |
| 1× | sub-neg_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 24 |
| 1 | 23 | 24 |
| 2 | 24 | 24 |
| 3 | 21 | 24 |
Compiled 18 to 15 computations (16.7% saved)
| 1× | intervals |
| 653.0ms | 8000× | body | 128 | valid |
| 20.0ms | 238× | body | 128 | invalid |
| 19.0ms | 277× | body | 128 | nan |
Compiled 105 to 87 computations (17.1% saved)
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