Time bar (total: 5.1s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.8% | 0.2% | 0 |
| 0% | 99.8% | 0.2% | 1 |
| 0% | 99.8% | 0.2% | 2 |
| 0% | 99.8% | 0.2% | 3 |
| 0% | 99.8% | 0.2% | 4 |
| 0% | 99.8% | 0.2% | 5 |
| 0% | 99.8% | 0.2% | 6 |
| 0% | 99.8% | 0.2% | 7 |
| 12.5% | 87.3% | 0.2% | 8 |
| 12.5% | 87.3% | 0.2% | 9 |
| 18.7% | 81.1% | 0.2% | 10 |
| 23.4% | 76.4% | 0.2% | 11 |
| 31.6% | 68.2% | 0.2% | 12 |
| 34.5% | 64.9% | 0.6% | 13 |
| 40.3% | 59.2% | 0.6% | 14 |
Compiled 20 to 14 computations (30% saved)
| 1.1s | 8256× | body | 128 | valid |
| 463.0ms | 3219× | body | 128 | invalid |
Compiled 59 to 41 computations (30.5% saved)
| 1× | egg-herbie |
| 871× | distribute-rgt-in_binary64 |
| 685× | div-sub_binary64 |
| 652× | distribute-lft-in_binary64 |
| 409× | distribute-neg-frac_binary64 |
| 395× | sub-neg_binary64 |
Useful iterations: 6 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 22 |
| 1 | 25 | 22 |
| 2 | 58 | 22 |
| 3 | 109 | 22 |
| 4 | 223 | 20 |
| 5 | 437 | 16 |
| 6 | 876 | 14 |
| 7 | 2098 | 14 |
| 8 | 2320 | 14 |
| 9 | 2451 | 14 |
| 10 | 3042 | 14 |
| 11 | 3226 | 14 |
| 12 | 3327 | 14 |
| 13 | 4913 | 14 |
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 2 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 3 | 3 |
| Status | Error | Program |
| ▶ | 3.2b | (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x) |
| 4.6b | (+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (/.f64 t (*.f64 (*.f64 z 3) y))) |
Compiled 95 to 62 computations (34.7% saved)
Found 2 expressions with local error:
| New | Error | Program |
| ✓ | 0.4b | (/.f64 -1/3 z) |
| ✓ | 3.0b | (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x) |
2 calls:
| 23.0ms | (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x) |
| 1.0ms | (/.f64 -1/3 z) |
| 1× | rewrite-expression-head |
| 10× | *-un-lft-identity_binary64 |
| 10× | add-sqr-sqrt_binary64 |
| 10× | add-cube-cbrt_binary64 |
| 9× | times-frac_binary64 |
| 4× | add-cbrt-cube_binary64 |
2 calls:
| 2.0ms | (/.f64 -1/3 z) |
| 0.0ms | (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x) |
| 1× | egg-herbie |
| 701× | fma-neg_binary64 |
| 412× | associate-/l*_binary64 |
| 315× | times-frac_binary64 |
| 259× | associate-/r/_binary64 |
| 234× | distribute-lft-neg-out_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 85 | 1261 |
| 1 | 157 | 1082 |
| 2 | 291 | 1010 |
| 3 | 548 | 1010 |
| 4 | 1924 | 1010 |
| 5 | 4555 | 1010 |
| 6 | 5098 | 1010 |
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 57 | 7 | 64 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 58 | 8 | 66 |
| Status | Error | Program |
| 29.9b | (/.f64 (-.f64 (*.f64 1/3 (/.f64 t y)) (*.f64 1/3 y)) z) | |
| 4.6b | (+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (/.f64 t (*.f64 (*.f64 z 3) y))) | |
| 36.7b | (fma.f64 (/.f64 (/.f64 -1/3 (sqrt.f64 z)) (sqrt.f64 z)) (-.f64 y (/.f64 t y)) x) | |
| 30.7b | (fma.f64 (*.f64 (sqrt.f64 (/.f64 -1/3 z)) (sqrt.f64 (/.f64 -1/3 z))) (-.f64 y (/.f64 t y)) x) | |
| 3.8b | (fma.f64 (*.f64 (/.f64 (*.f64 (cbrt.f64 -1/3) (cbrt.f64 -1/3)) (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 (cbrt.f64 -1/3) (cbrt.f64 z))) (-.f64 y (/.f64 t y)) x) | |
| 36.8b | (*.f64 (sqrt.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)) (sqrt.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x))) | |
| 4.6b | (-.f64 (+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) x) (*.f64 1/3 (/.f64 y z))) | |
| ▶ | 3.2b | (fma.f64 (*.f64 -1/3 (/.f64 1 z)) (-.f64 y (/.f64 t y)) x) |
Compiled 1241 to 604 computations (51.3% saved)
Found 2 expressions with local error:
| New | Error | Program |
| ✓ | 0.4b | (*.f64 -1/3 (/.f64 1 z)) |
| ✓ | 3.0b | (fma.f64 (*.f64 -1/3 (/.f64 1 z)) (-.f64 y (/.f64 t y)) x) |
2 calls:
| 24.0ms | (fma.f64 (*.f64 -1/3 (/.f64 1 z)) (-.f64 y (/.f64 t y)) x) |
| 1.0ms | (*.f64 -1/3 (/.f64 1 z)) |
| 1× | rewrite-expression-head |
| 17× | add-sqr-sqrt_binary64 |
| 13× | associate-*r*_binary64 |
| 11× | times-frac_binary64 |
| 11× | *-un-lft-identity_binary64 |
| 11× | add-exp-log_binary64 |
2 calls:
| 8.0ms | (*.f64 -1/3 (/.f64 1 z)) |
| 0.0ms | (fma.f64 (*.f64 -1/3 (/.f64 1 z)) (-.f64 y (/.f64 t y)) x) |
| 1× | egg-herbie |
| 425× | fma-neg_binary64 |
| 310× | associate-*l*_binary64 |
| 310× | exp-prod_binary64 |
| 297× | distribute-lft-neg-out_binary64 |
| 293× | distribute-rgt-neg-out_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 91 | 1331 |
| 1 | 185 | 1125 |
| 2 | 362 | 1119 |
| 3 | 766 | 1053 |
| 4 | 2278 | 1053 |
| 5 | 4506 | 1053 |
| 6 | 4969 | 1053 |
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 87 | 0 | 87 |
| Fresh | 0 | 7 | 7 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 87 | 8 | 95 |
| Status | Error | Program |
| 29.9b | (/.f64 (-.f64 (*.f64 1/3 (/.f64 t y)) (*.f64 1/3 y)) z) | |
| 4.6b | (+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (/.f64 t (*.f64 (*.f64 z 3) y))) | |
| 36.7b | (fma.f64 (/.f64 (/.f64 -1/3 (sqrt.f64 z)) (sqrt.f64 z)) (-.f64 y (/.f64 t y)) x) | |
| 30.7b | (fma.f64 (*.f64 (sqrt.f64 (/.f64 -1/3 z)) (sqrt.f64 (/.f64 -1/3 z))) (-.f64 y (/.f64 t y)) x) | |
| ▶ | 3.8b | (fma.f64 (*.f64 (/.f64 (*.f64 (cbrt.f64 -1/3) (cbrt.f64 -1/3)) (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 (cbrt.f64 -1/3) (cbrt.f64 z))) (-.f64 y (/.f64 t y)) x) |
| 36.8b | (*.f64 (sqrt.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)) (sqrt.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x))) | |
| 4.6b | (-.f64 (+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) x) (*.f64 1/3 (/.f64 y z))) | |
| ✓ | 3.2b | (fma.f64 (*.f64 -1/3 (/.f64 1 z)) (-.f64 y (/.f64 t y)) x) |
Compiled 1714 to 884 computations (48.4% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.5b | (*.f64 (cbrt.f64 z) (cbrt.f64 z)) |
| ✓ | 0.6b | (cbrt.f64 z) |
| ✓ | 1.0b | (*.f64 (cbrt.f64 -1/3) (cbrt.f64 -1/3)) |
| ✓ | 3.0b | (fma.f64 (*.f64 (/.f64 (*.f64 (cbrt.f64 -1/3) (cbrt.f64 -1/3)) (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 (cbrt.f64 -1/3) (cbrt.f64 z))) (-.f64 y (/.f64 t y)) x) |
4 calls:
| 181.0ms | (fma.f64 (*.f64 (/.f64 (*.f64 (cbrt.f64 -1/3) (cbrt.f64 -1/3)) (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 (cbrt.f64 -1/3) (cbrt.f64 z))) (-.f64 y (/.f64 t y)) x) |
| 39.0ms | (*.f64 (cbrt.f64 z) (cbrt.f64 z)) |
| 36.0ms | (cbrt.f64 z) |
| 0.0ms | (*.f64 (cbrt.f64 -1/3) (cbrt.f64 -1/3)) |
| 1× | rewrite-expression-head |
| 37× | add-sqr-sqrt_binary64 |
| 35× | cbrt-prod_binary64 |
| 21× | *-un-lft-identity_binary64 |
| 21× | add-cube-cbrt_binary64 |
| 18× | pow1_binary64 |
4 calls:
| 6.0ms | (*.f64 (cbrt.f64 z) (cbrt.f64 z)) |
| 4.0ms | (*.f64 (cbrt.f64 -1/3) (cbrt.f64 -1/3)) |
| 1.0ms | (cbrt.f64 z) |
| 0.0ms | (fma.f64 (*.f64 (/.f64 (*.f64 (cbrt.f64 -1/3) (cbrt.f64 -1/3)) (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 (cbrt.f64 -1/3) (cbrt.f64 z))) (-.f64 y (/.f64 t y)) x) |
| 1× | egg-herbie |
| 757× | fma-def_binary64 |
| 492× | associate-/r*_binary64 |
| 366× | unswap-sqr_binary64 |
| 318× | distribute-rgt-in_binary64 |
| 290× | associate-/l*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 125 | 2440 |
| 1 | 238 | 1880 |
| 2 | 791 | 1739 |
| 3 | 2546 | 1651 |
| 4 | 4648 | 1651 |
| 5 | 5068 | 1651 |
8 alts after pruning (6 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 192 | 0 | 192 |
| Fresh | 0 | 6 | 6 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 192 | 8 | 200 |
| Status | Error | Program |
| 29.9b | (/.f64 (-.f64 (*.f64 1/3 (/.f64 t y)) (*.f64 1/3 y)) z) | |
| ▶ | 4.6b | (+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (/.f64 t (*.f64 (*.f64 z 3) y))) |
| 36.7b | (fma.f64 (/.f64 (/.f64 -1/3 (sqrt.f64 z)) (sqrt.f64 z)) (-.f64 y (/.f64 t y)) x) | |
| 30.7b | (fma.f64 (*.f64 (sqrt.f64 (/.f64 -1/3 z)) (sqrt.f64 (/.f64 -1/3 z))) (-.f64 y (/.f64 t y)) x) | |
| ✓ | 3.8b | (fma.f64 (*.f64 (/.f64 (*.f64 (cbrt.f64 -1/3) (cbrt.f64 -1/3)) (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 (cbrt.f64 -1/3) (cbrt.f64 z))) (-.f64 y (/.f64 t y)) x) |
| 36.8b | (*.f64 (sqrt.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)) (sqrt.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x))) | |
| 4.6b | (-.f64 (+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) x) (*.f64 1/3 (/.f64 y z))) | |
| ✓ | 3.2b | (fma.f64 (*.f64 -1/3 (/.f64 1 z)) (-.f64 y (/.f64 t y)) x) |
Compiled 5487 to 2802 computations (48.9% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (-.f64 x (/.f64 y (*.f64 z 3))) |
| ✓ | 0.2b | (/.f64 y (*.f64 z 3)) |
| ✓ | 0.4b | (*.f64 (*.f64 z 3) y) |
| ✓ | 9.1b | (/.f64 t (*.f64 (*.f64 z 3) y)) |
4 calls:
| 20.0ms | (/.f64 t (*.f64 (*.f64 z 3) y)) |
| 11.0ms | (-.f64 x (/.f64 y (*.f64 z 3))) |
| 7.0ms | (/.f64 y (*.f64 z 3)) |
| 5.0ms | (*.f64 (*.f64 z 3) y) |
| 1× | rewrite-expression-head |
| 27× | *-un-lft-identity_binary64 |
| 27× | add-sqr-sqrt_binary64 |
| 25× | add-cube-cbrt_binary64 |
| 23× | add-cbrt-cube_binary64 |
| 23× | add-exp-log_binary64 |
4 calls:
| 5.0ms | (-.f64 x (/.f64 y (*.f64 z 3))) |
| 4.0ms | (/.f64 t (*.f64 (*.f64 z 3) y)) |
| 4.0ms | (*.f64 (*.f64 z 3) y) |
| 4.0ms | (/.f64 y (*.f64 z 3)) |
| 1× | egg-herbie |
| 709× | fma-def_binary64 |
| 515× | associate-*l/_binary64 |
| 392× | associate-*r/_binary64 |
| 308× | associate-/l/_binary64 |
| 175× | exp-prod_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 203 | 2758 |
| 1 | 498 | 2435 |
| 2 | 1639 | 2122 |
| 3 | 4282 | 2122 |
| 4 | 4997 | 2122 |
| 5 | 4827 | 2122 |
6 alts after pruning (4 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 167 | 2 | 169 |
| Fresh | 3 | 2 | 5 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 2 | 2 |
| Total | 171 | 6 | 177 |
| Status | Error | Program |
| 29.9b | (/.f64 (-.f64 (*.f64 1/3 (/.f64 t y)) (*.f64 1/3 y)) z) | |
| 4.6b | (+.f64 (-.f64 x (/.f64 1 (/.f64 (*.f64 z 3) y))) (/.f64 t (*.f64 (*.f64 z 3) y))) | |
| 1.9b | (+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (/.f64 (/.f64 t (*.f64 z 3)) y)) | |
| ✓ | 3.8b | (fma.f64 (*.f64 (/.f64 (*.f64 (cbrt.f64 -1/3) (cbrt.f64 -1/3)) (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 (cbrt.f64 -1/3) (cbrt.f64 z))) (-.f64 y (/.f64 t y)) x) |
| 4.6b | (-.f64 (+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) x) (*.f64 1/3 (/.f64 y z))) | |
| ✓ | 3.2b | (fma.f64 (*.f64 -1/3 (/.f64 1 z)) (-.f64 y (/.f64 t y)) x) |
Compiled 4106 to 2422 computations (41% saved)
Total 1.6b remaining (98.4%)
Threshold costs 0b (0%)
Compiled 9278 to 6274 computations (32.4% saved)
| 1× | egg-herbie |
| 4× | +-commutative_binary64 |
| 4× | *-commutative_binary64 |
| 3× | sub-neg_binary64 |
| 2× | neg-sub0_binary64 |
| 2× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 34 |
| 1 | 20 | 34 |
| 2 | 27 | 34 |
| 3 | 31 | 34 |
| 4 | 34 | 34 |
| 5 | 35 | 34 |
| 6 | 35 | 34 |
Compiled 170 to 114 computations (32.9% saved)
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