Time bar (total: 6.7s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.7% | 0.3% | 0 |
| 0% | 99.7% | 0.3% | 1 |
| 0% | 99.7% | 0.3% | 2 |
| 0% | 99.7% | 0.3% | 3 |
| 0% | 99.7% | 0.3% | 4 |
| 0% | 99.7% | 0.3% | 5 |
| 0% | 99.7% | 0.3% | 6 |
| 0% | 99.7% | 0.3% | 7 |
| 0% | 99.7% | 0.3% | 8 |
| 0% | 99.7% | 0.3% | 9 |
| 0% | 99.7% | 0.3% | 10 |
| 0% | 99.7% | 0.3% | 11 |
| 0% | 99.7% | 0.3% | 12 |
| 1.6% | 98.1% | 0.3% | 13 |
| 2.3% | 97.4% | 0.3% | 14 |
Compiled 24 to 18 computations (25% saved)
(sort y z t)
(sort a b)
| 1.2s | 8256× | body | 128 | valid |
| 450.0ms | 3095× | body | 128 | invalid |
Compiled 71 to 53 computations (25.4% saved)
| 1× | egg-herbie |
| 712× | fma-neg_binary64 |
| 641× | fma-def_binary64 |
| 213× | cancel-sign-sub-inv_binary64 |
| 172× | distribute-rgt-neg-in_binary64 |
| 157× | unsub-neg_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 25 |
| 1 | 39 | 23 |
| 2 | 115 | 21 |
| 3 | 308 | 21 |
| 4 | 552 | 21 |
| 5 | 902 | 21 |
| 6 | 1201 | 21 |
| 7 | 1433 | 21 |
| 8 | 1672 | 21 |
| 9 | 1787 | 21 |
| 10 | 1791 | 21 |
| 11 | 1791 | 21 |
| 12 | 1791 | 21 |
| 13 | 1674 | 21 |
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 |
| 2.9b | (+.f64 (-.f64 (*.f64 x 2) (*.f64 (*.f64 (*.f64 y 9) z) t)) (*.f64 (*.f64 a 27) b)) | |
| ▶ | 1.4b | (fma.f64 y (*.f64 (*.f64 z t) -9) (fma.f64 x 2 (*.f64 (*.f64 a 27) b))) |
Compiled 126 to 90 computations (28.6% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (fma.f64 x 2 (*.f64 (*.f64 a 27) b)) |
| ✓ | 0.2b | (*.f64 (*.f64 z t) -9) |
| ✓ | 0.2b | (*.f64 (*.f64 a 27) b) |
| ✓ | 1.2b | (fma.f64 y (*.f64 (*.f64 z t) -9) (fma.f64 x 2 (*.f64 (*.f64 a 27) b))) |
4 calls:
| 30.0ms | (fma.f64 y (*.f64 (*.f64 z t) -9) (fma.f64 x 2 (*.f64 (*.f64 a 27) b))) |
| 9.0ms | (fma.f64 x 2 (*.f64 (*.f64 a 27) b)) |
| 4.0ms | (*.f64 (*.f64 a 27) b) |
| 4.0ms | (*.f64 (*.f64 z t) -9) |
| 1× | rewrite-expression-head |
| 14× | add-cbrt-cube_binary64 |
| 14× | add-exp-log_binary64 |
| 14× | pow1_binary64 |
| 6× | associate-*r*_binary64 |
| 6× | cbrt-unprod_binary64 |
4 calls:
| 4.0ms | (*.f64 (*.f64 a 27) b) |
| 4.0ms | (*.f64 (*.f64 z t) -9) |
| 1.0ms | (fma.f64 y (*.f64 (*.f64 z t) -9) (fma.f64 x 2 (*.f64 (*.f64 a 27) b))) |
| 0.0ms | (fma.f64 x 2 (*.f64 (*.f64 a 27) b)) |
| 1× | egg-herbie |
| 868× | unswap-sqr_binary64 |
| 419× | *-commutative_binary64 |
| 321× | distribute-lft-in_binary64 |
| 321× | distribute-rgt-in_binary64 |
| 310× | fma-def_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 122 | 2976 |
| 1 | 250 | 2724 |
| 2 | 873 | 2724 |
| 3 | 1485 | 2724 |
| 4 | 2922 | 2724 |
| 5 | 5289 | 2724 |
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 100 | 7 | 107 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 101 | 8 | 109 |
| Status | Error | Program |
| 1.6b | (fma.f64 y (*.f64 z (*.f64 t -9)) (fma.f64 x 2 (*.f64 (*.f64 a 27) b))) | |
| 38.1b | (fma.f64 y (*.f64 (sqrt.f64 (*.f64 (*.f64 z t) -9)) (sqrt.f64 (*.f64 (*.f64 z t) -9))) (fma.f64 x 2 (*.f64 (*.f64 a 27) b))) | |
| 2.9b | (+.f64 (-.f64 (*.f64 x 2) (*.f64 (*.f64 (*.f64 y 9) z) t)) (*.f64 (*.f64 a 27) b)) | |
| 1.7b | (fma.f64 y (*.f64 (*.f64 z t) -9) (fma.f64 x 2 (*.f64 (*.f64 (*.f64 a 27) (*.f64 (cbrt.f64 b) (cbrt.f64 b))) (cbrt.f64 b)))) | |
| ▶ | 1.3b | (fma.f64 y (*.f64 (*.f64 z t) -9) (fma.f64 x 2 (*.f64 a (*.f64 27 b)))) |
| 1.4b | (-.f64 (+.f64 (*.f64 27 (*.f64 a b)) (*.f64 2 x)) (*.f64 9 (*.f64 y (*.f64 t z)))) | |
| 34.0b | (*.f64 (sqrt.f64 (fma.f64 y (*.f64 (*.f64 z t) -9) (fma.f64 x 2 (*.f64 (*.f64 a 27) b)))) (sqrt.f64 (fma.f64 y (*.f64 (*.f64 z t) -9) (fma.f64 x 2 (*.f64 (*.f64 a 27) b))))) | |
| 43.7b | (cbrt.f64 (pow.f64 (fma.f64 27 (*.f64 a b) (fma.f64 2 x (*.f64 (*.f64 y (*.f64 t z)) -9))) 3)) |
Compiled 2518 to 1470 computations (41.6% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (fma.f64 x 2 (*.f64 a (*.f64 27 b))) |
| ✓ | 0.2b | (*.f64 a (*.f64 27 b)) |
| 0.2b | (*.f64 (*.f64 z t) -9) | |
| ✓ | 1.2b | (fma.f64 y (*.f64 (*.f64 z t) -9) (fma.f64 x 2 (*.f64 a (*.f64 27 b)))) |
3 calls:
| 30.0ms | (fma.f64 y (*.f64 (*.f64 z t) -9) (fma.f64 x 2 (*.f64 a (*.f64 27 b)))) |
| 7.0ms | (fma.f64 x 2 (*.f64 a (*.f64 27 b))) |
| 4.0ms | (*.f64 a (*.f64 27 b)) |
| 1× | rewrite-expression-head |
| 8× | add-cbrt-cube_binary64 |
| 8× | add-exp-log_binary64 |
| 8× | pow1_binary64 |
| 4× | *-un-lft-identity_binary64 |
| 4× | add-sqr-sqrt_binary64 |
3 calls:
| 3.0ms | (*.f64 a (*.f64 27 b)) |
| 0.0ms | (fma.f64 y (*.f64 (*.f64 z t) -9) (fma.f64 x 2 (*.f64 a (*.f64 27 b)))) |
| 0.0ms | (fma.f64 x 2 (*.f64 a (*.f64 27 b))) |
| 1× | egg-herbie |
| 576× | distribute-lft-in_binary64 |
| 576× | distribute-rgt-in_binary64 |
| 548× | associate-*l*_binary64 |
| 426× | fma-def_binary64 |
| 385× | associate-*r*_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 82 | 2594 |
| 1 | 159 | 2378 |
| 2 | 475 | 2378 |
| 3 | 1528 | 2378 |
| 4 | 4509 | 2378 |
| 5 | 5090 | 2378 |
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 107 | 0 | 107 |
| Fresh | 0 | 7 | 7 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 107 | 8 | 115 |
| Status | Error | Program |
| 1.6b | (fma.f64 y (*.f64 z (*.f64 t -9)) (fma.f64 x 2 (*.f64 (*.f64 a 27) b))) | |
| 38.1b | (fma.f64 y (*.f64 (sqrt.f64 (*.f64 (*.f64 z t) -9)) (sqrt.f64 (*.f64 (*.f64 z t) -9))) (fma.f64 x 2 (*.f64 (*.f64 a 27) b))) | |
| 2.9b | (+.f64 (-.f64 (*.f64 x 2) (*.f64 (*.f64 (*.f64 y 9) z) t)) (*.f64 (*.f64 a 27) b)) | |
| 1.7b | (fma.f64 y (*.f64 (*.f64 z t) -9) (fma.f64 x 2 (*.f64 (*.f64 (*.f64 a 27) (*.f64 (cbrt.f64 b) (cbrt.f64 b))) (cbrt.f64 b)))) | |
| ✓ | 1.3b | (fma.f64 y (*.f64 (*.f64 z t) -9) (fma.f64 x 2 (*.f64 a (*.f64 27 b)))) |
| ▶ | 1.4b | (-.f64 (+.f64 (*.f64 27 (*.f64 a b)) (*.f64 2 x)) (*.f64 9 (*.f64 y (*.f64 t z)))) |
| 34.0b | (*.f64 (sqrt.f64 (fma.f64 y (*.f64 (*.f64 z t) -9) (fma.f64 x 2 (*.f64 (*.f64 a 27) b)))) (sqrt.f64 (fma.f64 y (*.f64 (*.f64 z t) -9) (fma.f64 x 2 (*.f64 (*.f64 a 27) b))))) | |
| 43.7b | (cbrt.f64 (pow.f64 (fma.f64 27 (*.f64 a b) (fma.f64 2 x (*.f64 (*.f64 y (*.f64 t z)) -9))) 3)) |
Compiled 2497 to 1454 computations (41.8% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (-.f64 (+.f64 (*.f64 27 (*.f64 a b)) (*.f64 2 x)) (*.f64 9 (*.f64 y (*.f64 t z)))) |
| ✓ | 0.2b | (*.f64 9 (*.f64 y (*.f64 t z))) |
| ✓ | 0.2b | (*.f64 27 (*.f64 a b)) |
| ✓ | 5.7b | (*.f64 y (*.f64 t z)) |
4 calls:
| 33.0ms | (-.f64 (+.f64 (*.f64 27 (*.f64 a b)) (*.f64 2 x)) (*.f64 9 (*.f64 y (*.f64 t z)))) |
| 12.0ms | (*.f64 9 (*.f64 y (*.f64 t z))) |
| 8.0ms | (*.f64 y (*.f64 t z)) |
| 4.0ms | (*.f64 27 (*.f64 a b)) |
| 1× | rewrite-expression-head |
| 23× | add-cbrt-cube_binary64 |
| 23× | add-exp-log_binary64 |
| 23× | pow1_binary64 |
| 12× | cbrt-unprod_binary64 |
| 12× | prod-exp_binary64 |
4 calls:
| 6.0ms | (-.f64 (+.f64 (*.f64 27 (*.f64 a b)) (*.f64 2 x)) (*.f64 9 (*.f64 y (*.f64 t z)))) |
| 6.0ms | (*.f64 27 (*.f64 a b)) |
| 5.0ms | (*.f64 9 (*.f64 y (*.f64 t z))) |
| 4.0ms | (*.f64 y (*.f64 t z)) |
| 1× | egg-herbie |
| 535× | *-commutative_binary64 |
| 493× | cancel-sign-sub-inv_binary64 |
| 462× | fma-def_binary64 |
| 344× | fma-neg_binary64 |
| 215× | associate-*r*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 149 | 1662 |
| 1 | 345 | 1372 |
| 2 | 1238 | 1339 |
| 3 | 3334 | 1327 |
| 4 | 4946 | 1327 |
| 5 | 4810 | 1327 |
7 alts after pruning (6 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 108 | 2 | 110 |
| Fresh | 2 | 4 | 6 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 111 | 7 | 118 |
| Status | Error | Program |
| 1.6b | (fma.f64 y (*.f64 z (*.f64 t -9)) (fma.f64 x 2 (*.f64 (*.f64 a 27) b))) | |
| 38.1b | (fma.f64 y (*.f64 (sqrt.f64 (*.f64 (*.f64 z t) -9)) (sqrt.f64 (*.f64 (*.f64 z t) -9))) (fma.f64 x 2 (*.f64 (*.f64 a 27) b))) | |
| 2.9b | (+.f64 (-.f64 (*.f64 x 2) (*.f64 (*.f64 (*.f64 y 9) z) t)) (*.f64 (*.f64 a 27) b)) | |
| ✓ | 1.3b | (fma.f64 y (*.f64 (*.f64 z t) -9) (fma.f64 x 2 (*.f64 a (*.f64 27 b)))) |
| ▶ | 1.5b | (-.f64 (+.f64 (*.f64 (sqrt.f64 27) (*.f64 (sqrt.f64 27) (*.f64 a b))) (*.f64 2 x)) (*.f64 9 (*.f64 y (*.f64 t z)))) |
| 6.4b | (-.f64 (+.f64 (*.f64 27 (*.f64 a b)) (*.f64 2 x)) (*.f64 9 (*.f64 (*.f64 y t) z))) | |
| 43.7b | (cbrt.f64 (pow.f64 (fma.f64 27 (*.f64 a b) (fma.f64 2 x (*.f64 (*.f64 y (*.f64 t z)) -9))) 3)) |
Compiled 2941 to 1558 computations (47% saved)
Found 4 expressions with local error:
| New | Error | Program |
| 0.2b | (*.f64 9 (*.f64 y (*.f64 t z))) | |
| ✓ | 0.3b | (*.f64 (sqrt.f64 27) (*.f64 (sqrt.f64 27) (*.f64 a b))) |
| ✓ | 0.3b | (*.f64 (sqrt.f64 27) (*.f64 a b)) |
| 5.7b | (*.f64 y (*.f64 t z)) |
2 calls:
| 21.0ms | (*.f64 (sqrt.f64 27) (*.f64 (sqrt.f64 27) (*.f64 a b))) |
| 11.0ms | (*.f64 (sqrt.f64 27) (*.f64 a b)) |
| 1× | rewrite-expression-head |
| 16× | add-cbrt-cube_binary64 |
| 16× | add-exp-log_binary64 |
| 16× | pow1_binary64 |
| 12× | associate-*l*_binary64 |
| 9× | cbrt-unprod_binary64 |
2 calls:
| 8.0ms | (*.f64 (sqrt.f64 27) (*.f64 (sqrt.f64 27) (*.f64 a b))) |
| 4.0ms | (*.f64 (sqrt.f64 27) (*.f64 a b)) |
| 1× | egg-herbie |
| 383× | unswap-sqr_binary64 |
| 346× | *-commutative_binary64 |
| 338× | associate-+l+_binary64 |
| 326× | distribute-rgt-in_binary64 |
| 291× | sqr-pow_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 71 | 975 |
| 1 | 164 | 879 |
| 2 | 556 | 879 |
| 3 | 859 | 871 |
| 4 | 1168 | 871 |
| 5 | 1833 | 871 |
| 6 | 4012 | 871 |
| 7 | 4659 | 871 |
| 8 | 4999 | 871 |
| 9 | 4933 | 871 |
7 alts after pruning (5 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 116 | 0 | 116 |
| Fresh | 0 | 5 | 5 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 116 | 7 | 123 |
| Status | Error | Program |
| 1.6b | (fma.f64 y (*.f64 z (*.f64 t -9)) (fma.f64 x 2 (*.f64 (*.f64 a 27) b))) | |
| 38.1b | (fma.f64 y (*.f64 (sqrt.f64 (*.f64 (*.f64 z t) -9)) (sqrt.f64 (*.f64 (*.f64 z t) -9))) (fma.f64 x 2 (*.f64 (*.f64 a 27) b))) | |
| 2.9b | (+.f64 (-.f64 (*.f64 x 2) (*.f64 (*.f64 (*.f64 y 9) z) t)) (*.f64 (*.f64 a 27) b)) | |
| ✓ | 1.3b | (fma.f64 y (*.f64 (*.f64 z t) -9) (fma.f64 x 2 (*.f64 a (*.f64 27 b)))) |
| ✓ | 1.5b | (-.f64 (+.f64 (*.f64 (sqrt.f64 27) (*.f64 (sqrt.f64 27) (*.f64 a b))) (*.f64 2 x)) (*.f64 9 (*.f64 y (*.f64 t z)))) |
| 6.4b | (-.f64 (+.f64 (*.f64 27 (*.f64 a b)) (*.f64 2 x)) (*.f64 9 (*.f64 (*.f64 y t) z))) | |
| 43.7b | (cbrt.f64 (pow.f64 (fma.f64 27 (*.f64 a b) (fma.f64 2 x (*.f64 (*.f64 y (*.f64 t z)) -9))) 3)) |
Compiled 3223 to 1975 computations (38.7% saved)
Total 0.6b remaining (96.8%)
Threshold costs 0.6b (96.8%)
Compiled 16184 to 11621 computations (28.2% saved)
Compiled 9 to 8 computations (11.1% saved)
| 1× | egg-herbie |
| 17× | *-commutative_binary64 |
| 8× | +-commutative_binary64 |
| 7× | sub-neg_binary64 |
| 6× | distribute-lft-neg-in_binary64 |
| 6× | distribute-rgt-neg-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 55 |
| 1 | 47 | 55 |
| 2 | 55 | 55 |
| 3 | 65 | 55 |
| 4 | 78 | 55 |
| 5 | 87 | 55 |
| 6 | 93 | 55 |
| 7 | 95 | 55 |
| 8 | 94 | 55 |
Compiled 432 to 309 computations (28.5% saved)
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