Time bar (total: 8.2s)
| 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 |
| 0% | 99.8% | 0.2% | 8 |
| 0% | 99.8% | 0.2% | 9 |
| 0% | 99.8% | 0.2% | 10 |
| 9.4% | 90.4% | 0.2% | 11 |
| 9.4% | 90.4% | 0.2% | 12 |
| 10.1% | 89.6% | 0.2% | 13 |
| 20.8% | 78.9% | 0.2% | 14 |
Compiled 19 to 14 computations (26.3% saved)
(sort x y)
(sort z t)
| 1.1s | 8256× | body | 128 | valid |
| 450.0ms | 3309× | body | 128 | invalid |
Compiled 56 to 41 computations (26.8% saved)
| 1× | egg-herbie |
| 2966× | fma-def_binary64 |
| 757× | fma-neg_binary64 |
| 541× | cancel-sign-sub-inv_binary64 |
| 473× | associate-/l/_binary64 |
| 472× | times-frac_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 19 |
| 1 | 31 | 17 |
| 2 | 103 | 17 |
| 3 | 318 | 17 |
| 4 | 794 | 17 |
| 5 | 1526 | 17 |
| 6 | 2054 | 17 |
| 7 | 2281 | 17 |
| 8 | 2975 | 17 |
| 9 | 3540 | 17 |
| 10 | 3954 | 17 |
| 11 | 4158 | 17 |
| 12 | 4097 | 17 |
| 13 | 4108 | 17 |
| 14 | 4118 | 17 |
| 15 | 4462 | 17 |
| 16 | 4531 | 17 |
| 17 | 4536 | 17 |
| 18 | 4536 | 17 |
| 19 | 6474 | 17 |
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 |
| ▶ | 7.3b | (*.f64 (fma.f64 -9 (*.f64 z t) (*.f64 x y)) (/.f64 1/2 a)) |
| 7.5b | (/.f64 (-.f64 (*.f64 x y) (*.f64 (*.f64 z 9) t)) (*.f64 a 2)) |
Compiled 100 to 69 computations (31% saved)
Found 2 expressions with local error:
| New | Error | Program |
| ✓ | 0.1b | (fma.f64 -9 (*.f64 z t) (*.f64 x y)) |
| ✓ | 6.8b | (*.f64 (fma.f64 -9 (*.f64 z t) (*.f64 x y)) (/.f64 1/2 a)) |
2 calls:
| 42.0ms | (*.f64 (fma.f64 -9 (*.f64 z t) (*.f64 x y)) (/.f64 1/2 a)) |
| 10.0ms | (fma.f64 -9 (*.f64 z t) (*.f64 x y)) |
| 1× | rewrite-expression-head |
| 15× | add-sqr-sqrt_binary64 |
| 13× | associate-*r*_binary64 |
| 10× | times-frac_binary64 |
| 10× | *-un-lft-identity_binary64 |
| 10× | add-cube-cbrt_binary64 |
2 calls:
| 7.0ms | (*.f64 (fma.f64 -9 (*.f64 z t) (*.f64 x y)) (/.f64 1/2 a)) |
| 0.0ms | (fma.f64 -9 (*.f64 z t) (*.f64 x y)) |
| 1× | egg-herbie |
| 937× | fma-def_binary64 |
| 487× | associate-*l*_binary64 |
| 418× | associate-*r*_binary64 |
| 225× | associate-*r/_binary64 |
| 211× | associate-*l/_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 108 | 2547 |
| 1 | 248 | 2243 |
| 2 | 812 | 2243 |
| 3 | 3206 | 2242 |
| 4 | 4937 | 2242 |
| 5 | 5019 | 2242 |
13 alts after pruning (13 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 76 | 12 | 88 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 77 | 13 | 90 |
| Status | Error | Program |
| 8.2b | (*.f64 (*.f64 (fma.f64 -9 (*.f64 z t) (*.f64 x y)) (*.f64 (cbrt.f64 (/.f64 1/2 a)) (cbrt.f64 (/.f64 1/2 a)))) (cbrt.f64 (/.f64 1/2 a))) | |
| 8.3b | (*.f64 (*.f64 (fma.f64 -9 (*.f64 z t) (*.f64 x y)) (/.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2)) (*.f64 (cbrt.f64 a) (cbrt.f64 a)))) (/.f64 (cbrt.f64 1/2) (cbrt.f64 a))) | |
| 36.1b | (*.f64 (*.f64 -9 (*.f64 t z)) (/.f64 1/2 a)) | |
| 36.1b | (*.f64 (*.f64 (fma.f64 -9 (*.f64 z t) (*.f64 x y)) (/.f64 (sqrt.f64 1/2) (sqrt.f64 a))) (/.f64 (sqrt.f64 1/2) (sqrt.f64 a))) | |
| 8.1b | (*.f64 (*.f64 (cbrt.f64 (fma.f64 -9 (*.f64 z t) (*.f64 x y))) (cbrt.f64 (fma.f64 -9 (*.f64 z t) (*.f64 x y)))) (*.f64 (cbrt.f64 (fma.f64 -9 (*.f64 z t) (*.f64 x y))) (/.f64 1/2 a))) | |
| 7.7b | (*.f64 (*.f64 (fma.f64 y x (*.f64 (*.f64 t z) -9)) (sqrt.f64 1/2)) (/.f64 (sqrt.f64 1/2) a)) | |
| 7.5b | (/.f64 (-.f64 (*.f64 x y) (*.f64 (*.f64 z 9) t)) (*.f64 a 2)) | |
| 29.8b | (*.f64 1/2 (/.f64 (*.f64 y x) a)) | |
| 36.0b | (*.f64 -9/2 (/.f64 (*.f64 t z) a)) | |
| 29.7b | (*.f64 (*.f64 y x) (/.f64 1/2 a)) | |
| ▶ | 7.2b | (-.f64 (*.f64 1/2 (/.f64 (*.f64 y x) a)) (*.f64 9/2 (/.f64 (*.f64 t z) a))) |
| 36.2b | (*.f64 (sqrt.f64 (fma.f64 -9 (*.f64 z t) (*.f64 x y))) (*.f64 (sqrt.f64 (fma.f64 -9 (*.f64 z t) (*.f64 x y))) (/.f64 1/2 a))) | |
| 8.2b | (*.f64 (*.f64 (fma.f64 -9 (*.f64 z t) (*.f64 x y)) (/.f64 (sqrt.f64 1/2) (*.f64 (cbrt.f64 a) (cbrt.f64 a)))) (/.f64 (sqrt.f64 1/2) (cbrt.f64 a))) |
Compiled 2248 to 1246 computations (44.6% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (-.f64 (*.f64 1/2 (/.f64 (*.f64 y x) a)) (*.f64 9/2 (/.f64 (*.f64 t z) a))) |
| ✓ | 0.2b | (*.f64 9/2 (/.f64 (*.f64 t z) a)) |
| ✓ | 4.3b | (/.f64 (*.f64 t z) a) |
| ✓ | 5.1b | (/.f64 (*.f64 y x) a) |
4 calls:
| 37.0ms | (-.f64 (*.f64 1/2 (/.f64 (*.f64 y x) a)) (*.f64 9/2 (/.f64 (*.f64 t z) a))) |
| 14.0ms | (*.f64 9/2 (/.f64 (*.f64 t z) a)) |
| 14.0ms | (/.f64 (*.f64 y x) a) |
| 11.0ms | (/.f64 (*.f64 t z) a) |
| 1× | rewrite-expression-head |
| 23× | add-cbrt-cube_binary64 |
| 23× | add-exp-log_binary64 |
| 13× | add-sqr-sqrt_binary64 |
| 11× | *-un-lft-identity_binary64 |
| 11× | add-cube-cbrt_binary64 |
4 calls:
| 5.0ms | (*.f64 9/2 (/.f64 (*.f64 t z) a)) |
| 5.0ms | (-.f64 (*.f64 1/2 (/.f64 (*.f64 y x) a)) (*.f64 9/2 (/.f64 (*.f64 t z) a))) |
| 4.0ms | (/.f64 (*.f64 y x) a) |
| 3.0ms | (/.f64 (*.f64 t z) a) |
| 1× | egg-herbie |
| 676× | times-frac_binary64 |
| 581× | fma-def_binary64 |
| 359× | *-commutative_binary64 |
| 335× | associate-/l/_binary64 |
| 254× | associate-/r*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 168 | 1744 |
| 1 | 423 | 1541 |
| 2 | 1523 | 1530 |
| 3 | 4162 | 1530 |
| 4 | 4941 | 1530 |
11 alts after pruning (11 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 126 | 8 | 134 |
| Fresh | 9 | 3 | 12 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 136 | 11 | 147 |
| Status | Error | Program |
| 9.2b | (-.f64 (*.f64 1/2 (/.f64 y (/.f64 a x))) (*.f64 9/2 (/.f64 (*.f64 t z) a))) | |
| 36.1b | (*.f64 (*.f64 (fma.f64 -9 (*.f64 z t) (*.f64 x y)) (/.f64 (sqrt.f64 1/2) (sqrt.f64 a))) (/.f64 (sqrt.f64 1/2) (sqrt.f64 a))) | |
| ▶ | 7.2b | (-.f64 (*.f64 1/2 (*.f64 (/.f64 y (*.f64 (cbrt.f64 a) (cbrt.f64 a))) (/.f64 x (cbrt.f64 a)))) (*.f64 9/2 (/.f64 (*.f64 t z) a))) |
| 7.7b | (*.f64 (*.f64 (fma.f64 y x (*.f64 (*.f64 t z) -9)) (sqrt.f64 1/2)) (/.f64 (sqrt.f64 1/2) a)) | |
| 9.4b | (-.f64 (*.f64 1/2 (/.f64 (*.f64 y x) a)) (*.f64 (*.f64 t 9/2) (/.f64 z a))) | |
| 34.9b | (-.f64 (*.f64 1/2 (/.f64 (*.f64 y x) a)) (*.f64 (*.f64 9/2 (/.f64 t (sqrt.f64 a))) (/.f64 z (sqrt.f64 a)))) | |
| 29.7b | (*.f64 (*.f64 y x) (/.f64 1/2 a)) | |
| 9.4b | (-.f64 (*.f64 1/2 (*.f64 y (/.f64 x a))) (*.f64 9/2 (/.f64 (*.f64 t z) a))) | |
| 35.6b | (-.f64 (*.f64 1/2 (/.f64 (*.f64 y x) a)) (*.f64 9/2 (/.f64 (*.f64 z (/.f64 t (sqrt.f64 a))) (sqrt.f64 a)))) | |
| 8.4b | (-.f64 (*.f64 1/2 (/.f64 (*.f64 y x) a)) (*.f64 9/2 (/.f64 t (/.f64 a z)))) | |
| 7.3b | (-.f64 (*.f64 1/2 (/.f64 (*.f64 y x) a)) (*.f64 (*.f64 9/2 (*.f64 t z)) (/.f64 1 a))) |
Compiled 3274 to 1442 computations (56% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.4b | (*.f64 (cbrt.f64 a) (cbrt.f64 a)) |
| ✓ | 0.5b | (cbrt.f64 a) |
| ✓ | 3.5b | (*.f64 (/.f64 y (*.f64 (cbrt.f64 a) (cbrt.f64 a))) (/.f64 x (cbrt.f64 a))) |
| 4.3b | (/.f64 (*.f64 t z) a) |
3 calls:
| 41.0ms | (*.f64 (cbrt.f64 a) (cbrt.f64 a)) |
| 40.0ms | (*.f64 (/.f64 y (*.f64 (cbrt.f64 a) (cbrt.f64 a))) (/.f64 x (cbrt.f64 a))) |
| 36.0ms | (cbrt.f64 a) |
| 1× | rewrite-expression-head |
| 51× | add-sqr-sqrt_binary64 |
| 30× | cbrt-prod_binary64 |
| 28× | associate-*r*_binary64 |
| 28× | times-frac_binary64 |
| 27× | *-un-lft-identity_binary64 |
3 calls:
| 11.0ms | (*.f64 (/.f64 y (*.f64 (cbrt.f64 a) (cbrt.f64 a))) (/.f64 x (cbrt.f64 a))) |
| 4.0ms | (*.f64 (cbrt.f64 a) (cbrt.f64 a)) |
| 1.0ms | (cbrt.f64 a) |
| 1× | egg-herbie |
| 847× | fma-neg_binary64 |
| 438× | associate-/r/_binary64 |
| 425× | *-commutative_binary64 |
| 328× | unswap-sqr_binary64 |
| 160× | associate-*r/_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 164 | 2580 |
| 1 | 405 | 1795 |
| 2 | 1811 | 1738 |
| 3 | 2512 | 1684 |
| 4 | 4564 | 1684 |
| 5 | 5251 | 1684 |
11 alts after pruning (11 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 238 | 3 | 241 |
| Fresh | 2 | 8 | 10 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 241 | 11 | 252 |
| Status | Error | Program |
| 35.0b | (-.f64 (*.f64 1/2 (*.f64 (/.f64 y (*.f64 (cbrt.f64 a) (cbrt.f64 a))) (/.f64 x (cbrt.f64 a)))) (*.f64 9/2 (/.f64 (*.f64 z (/.f64 t (sqrt.f64 a))) (sqrt.f64 a)))) | |
| 29.7b | (*.f64 (*.f64 y x) (/.f64 1/2 a)) | |
| 9.4b | (-.f64 (*.f64 1/2 (/.f64 (*.f64 y x) a)) (*.f64 (*.f64 t 9/2) (/.f64 z a))) | |
| 34.9b | (-.f64 (*.f64 1/2 (/.f64 (*.f64 y x) a)) (*.f64 (*.f64 9/2 (/.f64 t (sqrt.f64 a))) (/.f64 z (sqrt.f64 a)))) | |
| 7.4b | (-.f64 (*.f64 1/2 (*.f64 (*.f64 (/.f64 y (*.f64 (cbrt.f64 a) (cbrt.f64 a))) (*.f64 (cbrt.f64 (/.f64 x (cbrt.f64 a))) (cbrt.f64 (/.f64 x (cbrt.f64 a))))) (cbrt.f64 (/.f64 x (cbrt.f64 a))))) (*.f64 9/2 (/.f64 (*.f64 t z) a))) | |
| 9.2b | (-.f64 (*.f64 1/2 (/.f64 y (/.f64 a x))) (*.f64 9/2 (/.f64 (*.f64 t z) a))) | |
| 9.4b | (-.f64 (*.f64 1/2 (*.f64 y (/.f64 x a))) (*.f64 9/2 (/.f64 (*.f64 t z) a))) | |
| 22.5b | (-.f64 (*.f64 1/2 (*.f64 (/.f64 y (*.f64 (cbrt.f64 a) (cbrt.f64 a))) (/.f64 x (cbrt.f64 a)))) (*.f64 9/2 (cbrt.f64 (pow.f64 (/.f64 (*.f64 t z) a) 3)))) | |
| 7.7b | (*.f64 (*.f64 (fma.f64 y x (*.f64 (*.f64 t z) -9)) (sqrt.f64 1/2)) (/.f64 (sqrt.f64 1/2) a)) | |
| 8.4b | (-.f64 (*.f64 1/2 (/.f64 (*.f64 y x) a)) (*.f64 9/2 (/.f64 t (/.f64 a z)))) | |
| ▶ | 7.3b | (-.f64 (*.f64 1/2 (/.f64 (*.f64 y x) a)) (*.f64 (*.f64 9/2 (*.f64 t z)) (/.f64 1 a))) |
Compiled 7168 to 2588 computations (63.9% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (-.f64 (*.f64 1/2 (/.f64 (*.f64 y x) a)) (*.f64 (*.f64 9/2 (*.f64 t z)) (/.f64 1 a))) |
| ✓ | 0.2b | (*.f64 9/2 (*.f64 t z)) |
| ✓ | 4.3b | (*.f64 (*.f64 9/2 (*.f64 t z)) (/.f64 1 a)) |
| 5.1b | (/.f64 (*.f64 y x) a) |
3 calls:
| 36.0ms | (-.f64 (*.f64 1/2 (/.f64 (*.f64 y x) a)) (*.f64 (*.f64 9/2 (*.f64 t z)) (/.f64 1 a))) |
| 15.0ms | (*.f64 (*.f64 9/2 (*.f64 t z)) (/.f64 1 a)) |
| 4.0ms | (*.f64 9/2 (*.f64 t z)) |
| 1× | rewrite-expression-head |
| 47× | add-exp-log_binary64 |
| 29× | add-cbrt-cube_binary64 |
| 27× | prod-exp_binary64 |
| 17× | pow1_binary64 |
| 15× | cbrt-unprod_binary64 |
3 calls:
| 7.0ms | (*.f64 (*.f64 9/2 (*.f64 t z)) (/.f64 1 a)) |
| 6.0ms | (-.f64 (*.f64 1/2 (/.f64 (*.f64 y x) a)) (*.f64 (*.f64 9/2 (*.f64 t z)) (/.f64 1 a))) |
| 5.0ms | (*.f64 9/2 (*.f64 t z)) |
| 1× | egg-herbie |
| 972× | fma-def_binary64 |
| 454× | associate-*l/_binary64 |
| 426× | associate-*r/_binary64 |
| 319× | associate-/l*_binary64 |
| 227× | associate-*l*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 151 | 2611 |
| 1 | 380 | 2507 |
| 2 | 1416 | 2491 |
| 3 | 4596 | 2489 |
| 4 | 5059 | 2489 |
11 alts after pruning (10 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 147 | 2 | 149 |
| Fresh | 2 | 8 | 10 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 149 | 11 | 160 |
| Status | Error | Program |
| 35.0b | (-.f64 (*.f64 1/2 (*.f64 (/.f64 y (*.f64 (cbrt.f64 a) (cbrt.f64 a))) (/.f64 x (cbrt.f64 a)))) (*.f64 9/2 (/.f64 (*.f64 z (/.f64 t (sqrt.f64 a))) (sqrt.f64 a)))) | |
| 29.7b | (*.f64 (*.f64 y x) (/.f64 1/2 a)) | |
| 22.8b | (-.f64 (*.f64 1/2 (/.f64 (*.f64 y x) a)) (cbrt.f64 (*.f64 729/8 (pow.f64 (/.f64 (*.f64 t z) a) 3)))) | |
| 7.7b | (*.f64 (*.f64 (fma.f64 y x (*.f64 (*.f64 t z) -9)) (sqrt.f64 1/2)) (/.f64 (sqrt.f64 1/2) a)) | |
| 9.4b | (-.f64 (*.f64 1/2 (/.f64 (*.f64 y x) a)) (*.f64 (*.f64 t 9/2) (/.f64 z a))) | |
| 7.4b | (-.f64 (*.f64 1/2 (/.f64 (*.f64 y x) a)) (*.f64 (*.f64 (sqrt.f64 9/2) (*.f64 (sqrt.f64 9/2) (*.f64 t z))) (/.f64 1 a))) | |
| 7.4b | (-.f64 (*.f64 1/2 (*.f64 (*.f64 (/.f64 y (*.f64 (cbrt.f64 a) (cbrt.f64 a))) (*.f64 (cbrt.f64 (/.f64 x (cbrt.f64 a))) (cbrt.f64 (/.f64 x (cbrt.f64 a))))) (cbrt.f64 (/.f64 x (cbrt.f64 a))))) (*.f64 9/2 (/.f64 (*.f64 t z) a))) | |
| 9.2b | (-.f64 (*.f64 1/2 (/.f64 y (/.f64 a x))) (*.f64 9/2 (/.f64 (*.f64 t z) a))) | |
| 9.4b | (-.f64 (*.f64 1/2 (*.f64 y (/.f64 x a))) (*.f64 9/2 (/.f64 (*.f64 t z) a))) | |
| 8.4b | (-.f64 (*.f64 1/2 (/.f64 (*.f64 y x) a)) (*.f64 9/2 (/.f64 t (/.f64 a z)))) | |
| ✓ | 7.3b | (-.f64 (*.f64 1/2 (/.f64 (*.f64 y x) a)) (*.f64 (*.f64 9/2 (*.f64 t z)) (/.f64 1 a))) |
Compiled 3680 to 1874 computations (49.1% saved)
Total 0.4b remaining (53.7%)
Threshold costs 0.4b (53.7%)
Compiled 34038 to 23496 computations (31% saved)
Compiled 14 to 10 computations (28.6% saved)
| 1× | egg-herbie |
| 24× | *-commutative_binary64 |
| 16× | +-commutative_binary64 |
| 16× | sub-neg_binary64 |
| 14× | distribute-rgt-neg-in_binary64 |
| 13× | distribute-lft-neg-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 126 |
| 1 | 76 | 126 |
| 2 | 110 | 126 |
| 3 | 139 | 126 |
| 4 | 163 | 126 |
| 5 | 172 | 126 |
| 6 | 174 | 126 |
| 7 | 171 | 126 |
Compiled 783 to 455 computations (41.9% saved)
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