Time bar (total: 3.2s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.9% | 0.1% | 0 |
| 0% | 99.9% | 0.1% | 1 |
| 0% | 99.9% | 0.1% | 2 |
| 0% | 99.9% | 0.1% | 3 |
| 0% | 99.9% | 0.1% | 4 |
| 0% | 99.9% | 0.1% | 5 |
| 9.4% | 90.5% | 0.1% | 6 |
| 14% | 85.8% | 0.1% | 7 |
| 22.6% | 77.2% | 0.1% | 8 |
| 37.8% | 60.5% | 1.7% | 9 |
| 40% | 56% | 4% | 10 |
| 47.3% | 48.7% | 4% | 11 |
| 56.8% | 36.2% | 7% | 12 |
| 58.6% | 32.4% | 9% | 13 |
| 63.4% | 27.5% | 9% | 14 |
Compiled 11 to 7 computations (36.4% saved)
| 879.0ms | 8256× | body | 128 | valid |
| 72.0ms | 775× | body | 128 | invalid |
Compiled 22 to 14 computations (36.4% saved)
| 2× | egg-herbie |
| 786× | div-sub_binary64 |
| 434× | fma-def_binary64 |
| 235× | distribute-neg-frac_binary64 |
| 235× | times-frac_binary64 |
| 201× | unsub-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 40 |
| 1 | 35 | 40 |
| 2 | 83 | 40 |
| 3 | 209 | 40 |
| 4 | 449 | 40 |
| 5 | 1100 | 40 |
| 6 | 3562 | 40 |
| 0 | 3 | 3 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
1 |
2 |
| Outputs |
|---|
0 |
1 |
2 |
| Inputs |
|---|
(/.f64 (*.f64 x (-.f64 y z)) y) |
(/.f64 (*.f64 y (-.f64 x z)) x) |
(/.f64 (*.f64 z (-.f64 y x)) y) |
(/.f64 (*.f64 x (-.f64 z y)) z) |
| Outputs |
|---|
(/.f64 (*.f64 x (-.f64 y z)) y) |
(/.f64 x (/.f64 y (-.f64 y z))) |
(*.f64 (/.f64 x y) (-.f64 y z)) |
(*.f64 (-.f64 y z) (/.f64 x y)) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 x (/.f64 z y))) |
(/.f64 (*.f64 y (-.f64 x z)) x) |
(/.f64 y (/.f64 x (-.f64 x z))) |
(*.f64 (/.f64 y x) (-.f64 x z)) |
(*.f64 (-.f64 x z) (/.f64 y x)) |
(/.f64 (-.f64 x z) (/.f64 x y)) |
(fma.f64 z (/.f64 (neg.f64 y) x) y) |
(/.f64 (*.f64 z (-.f64 y x)) y) |
(/.f64 z (/.f64 y (-.f64 y x))) |
(*.f64 (/.f64 z y) (-.f64 y x)) |
(*.f64 (-.f64 y x) (/.f64 z y)) |
(*.f64 z (/.f64 (-.f64 y x) y)) |
(*.f64 z (-.f64 1 (/.f64 x y))) |
(/.f64 (*.f64 x (-.f64 z y)) z) |
(/.f64 x (/.f64 z (-.f64 z y))) |
(*.f64 (/.f64 x z) (-.f64 z y)) |
(*.f64 (-.f64 z y) (/.f64 x z)) |
(*.f64 x (-.f64 1 (/.f64 y z))) |
(-.f64 x (/.f64 x (/.f64 z y))) |
Compiled 10 to 6 computations (40% saved)
| 1× | egg-herbie |
| 816× | fma-def_binary64 |
| 463× | associate-/l*_binary64 |
| 368× | associate-*l/_binary64 |
| 316× | associate-/r*_binary64 |
| 286× | associate-/l/_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 10 |
| 1 | 12 | 10 |
| 2 | 27 | 10 |
| 3 | 62 | 10 |
| 4 | 134 | 10 |
| 5 | 242 | 10 |
| 6 | 443 | 10 |
| 7 | 1265 | 10 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 x (-.f64 y z)) y) |
| Outputs |
|---|
(/.f64 (*.f64 x (-.f64 y z)) y) |
(/.f64 x (/.f64 y (-.f64 y z))) |
(*.f64 (/.f64 x y) (-.f64 y z)) |
(*.f64 (-.f64 y z) (/.f64 x y)) |
(*.f64 x (/.f64 (-.f64 y z) y)) |
(-.f64 x (/.f64 z (/.f64 y x))) |
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 |
|---|---|---|
| ▶ | 2.8b | (-.f64 x (/.f64 z (/.f64 y x))) |
| 11.0b | (/.f64 (*.f64 x (-.f64 y z)) y) |
Compiled 57 to 33 computations (42.1% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 x (/.f64 z (/.f64 y x))) |
| ✓ | 4.6b | (/.f64 z (/.f64 y x)) |
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | z | @ | inf | (/.f64 z (/.f64 y x)) |
| 2.0ms | z | @ | -inf | (/.f64 z (/.f64 y x)) |
| 2.0ms | x | @ | -inf | (-.f64 x (/.f64 z (/.f64 y x))) |
| 2.0ms | x | @ | -inf | (/.f64 z (/.f64 y x)) |
| 2.0ms | x | @ | inf | (-.f64 x (/.f64 z (/.f64 y x))) |
| 1× | batch-egg-rewrite |
| 697× | prod-diff_binary64 |
| 239× | fma-def_binary64 |
| 201× | egg-rr |
| 158× | expm1-udef_binary64 |
| 158× | log1p-udef_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 17 |
| 1 | 163 | 17 |
| 2 | 2599 | 17 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 z (/.f64 y x)) |
(-.f64 x (/.f64 z (/.f64 y x))) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (neg.f64 z) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (*.f64 (neg.f64 z) (/.f64 x y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (-.f64 1 (/.f64 z y))) (fma.f64 (neg.f64 (/.f64 x y)) z (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (-.f64 1 (/.f64 z y))) (fma.f64 (*.f64 (neg.f64 z) (/.f64 x y)) 1 (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (-.f64 1 (/.f64 z y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (/.f64 x y)))) (pow.f64 (cbrt.f64 (*.f64 z (/.f64 x y))) 2) (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (-.f64 1 (/.f64 z y))) (+.f64 (*.f64 (neg.f64 z) (/.f64 x y)) (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (-.f64 1 (/.f64 z y))) (fma.f64 (neg.f64 x) (/.f64 z y) (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 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| 1× | egg-herbie |
| 379× | fma-def_binary64 |
| 215× | fma-neg_binary64 |
| 70× | distribute-rgt-in_binary64 |
| 64× | cancel-sign-sub-inv_binary64 |
| 63× | distribute-lft-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 582 |
| 1 | 36 | 582 |
| 2 | 88 | 582 |
| 3 | 158 | 582 |
| 4 | 338 | 582 |
| 5 | 754 | 582 |
| 6 | 1376 | 582 |
| 7 | 1613 | 582 |
| 8 | 1623 | 582 |
| 9 | 1637 | 582 |
| 10 | 1642 | 582 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 -1 (*.f64 x (-.f64 (/.f64 z y) 1))) |
(*.f64 -1 (*.f64 x (-.f64 (/.f64 z y) 1))) |
(*.f64 -1 (*.f64 x (-.f64 (/.f64 z y) 1))) |
(*.f64 -1 (*.f64 x (-.f64 (/.f64 z y) 1))) |
x |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
x |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
x |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
| Outputs |
|---|
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 (/.f64 z y) (neg.f64 x) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 (/.f64 z y) (neg.f64 x) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 (/.f64 z y) (neg.f64 x) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 (/.f64 z y) (neg.f64 x) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 (/.f64 z y) (neg.f64 x) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 (/.f64 z y) (neg.f64 x) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 (/.f64 z y) (neg.f64 x) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 (/.f64 z y) (neg.f64 x) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(*.f64 -1 (*.f64 x (-.f64 (/.f64 z y) 1))) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 (/.f64 z y) (neg.f64 x) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(*.f64 -1 (*.f64 x (-.f64 (/.f64 z y) 1))) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 (/.f64 z y) (neg.f64 x) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(*.f64 -1 (*.f64 x (-.f64 (/.f64 z y) 1))) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 (/.f64 z y) (neg.f64 x) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(*.f64 -1 (*.f64 x (-.f64 (/.f64 z y) 1))) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 (/.f64 z y) (neg.f64 x) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(-.f64 x (*.f64 z (/.f64 x y))) |
x |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 (/.f64 z y) (neg.f64 x) x) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 (/.f64 z y) (neg.f64 x) x) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 (/.f64 z y) (neg.f64 x) x) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 (*.f64 z x) y)) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 (/.f64 z y) (neg.f64 x)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 (/.f64 z y) (neg.f64 x) x) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 (/.f64 z y) (neg.f64 x) x) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 (/.f64 z y) (neg.f64 x) x) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 (*.f64 z x) y)) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 (/.f64 z y) (neg.f64 x)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 (/.f64 z y) (neg.f64 x) x) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 (/.f64 z y) (neg.f64 x) x) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 (/.f64 z y) (neg.f64 x) x) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 (*.f64 z x) y)) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 (/.f64 z y) (neg.f64 x)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 (/.f64 z y) (neg.f64 x) x) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 (/.f64 z y) (neg.f64 x) x) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 (/.f64 z y) (neg.f64 x) x) |
(-.f64 x (*.f64 z (/.f64 x y))) |
x |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 (/.f64 z y) (neg.f64 x) x) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 (/.f64 z y) (neg.f64 x) x) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 (/.f64 z y) (neg.f64 x) x) |
(-.f64 x (*.f64 z (/.f64 x y))) |
x |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 (/.f64 z y) (neg.f64 x) x) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 (/.f64 z y) (neg.f64 x) x) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 (/.f64 z y) (neg.f64 x) x) |
(-.f64 x (*.f64 z (/.f64 x y))) |
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 244 | 7 | 251 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 245 | 8 | 253 |
| Status | Error | Program |
|---|---|---|
| 44.4b | (fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 z (/.f64 x y)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 z (/.f64 x y)))) (fma.f64 (neg.f64 (/.f64 x y)) z (*.f64 z (/.f64 x y)))) | |
| 6.1b | (-.f64 x (/.f64 (*.f64 z x) y)) | |
| 4.2b | (-.f64 x (*.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) y) (/.f64 (cbrt.f64 z) (/.f64 1 x)))) | |
| 3.8b | (-.f64 x (*.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (/.f64 x y)))) | |
| ▶ | 3.3b | (-.f64 x (*.f64 z (/.f64 x y))) |
| 31.3b | (pow.f64 (sqrt.f64 (*.f64 x (-.f64 1 (/.f64 z y)))) 2) | |
| ✓ | 2.8b | (-.f64 x (/.f64 z (/.f64 y x))) |
| 6.1b | (-.f64 x (pow.f64 (/.f64 y (*.f64 z x)) -1)) |
Compiled 6951 to 2344 computations (66.3% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 x (*.f64 z (/.f64 x y))) |
| ✓ | 4.7b | (*.f64 z (/.f64 x y)) |
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | inf | (*.f64 z (/.f64 x y)) |
| 2.0ms | x | @ | -inf | (*.f64 z (/.f64 x y)) |
| 2.0ms | x | @ | -inf | (-.f64 x (*.f64 z (/.f64 x y))) |
| 2.0ms | z | @ | -inf | (*.f64 z (/.f64 x y)) |
| 2.0ms | x | @ | inf | (-.f64 x (*.f64 z (/.f64 x y))) |
| 1× | batch-egg-rewrite |
| 899× | log1p-expm1-u_binary64 |
| 899× | expm1-log1p-u_binary64 |
| 87× | add-sqr-sqrt_binary64 |
| 86× | *-un-lft-identity_binary64 |
| 86× | pow1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 17 |
| 1 | 160 | 17 |
| 2 | 2402 | 17 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 z (/.f64 x y)) |
(-.f64 x (*.f64 z (/.f64 x y))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 z x) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 z (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z x) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 z x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z x) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z x) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) z) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (neg.f64 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 z x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 z x) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 z x) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 z x) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 z x) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 z x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 z x) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 z x) y)) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (/.f64 (*.f64 (neg.f64 z) x) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (/.f64 (*.f64 (neg.f64 z) x) y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 (*.f64 z x) y)) (fma.f64 (neg.f64 (/.f64 x y)) z (/.f64 (*.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 (*.f64 z x) y)) (fma.f64 (neg.f64 z) (/.f64 x y) (/.f64 (*.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 (*.f64 z x) y)) (fma.f64 (/.f64 (*.f64 (neg.f64 z) x) y) 1 (/.f64 (*.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 (*.f64 z x) y)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (*.f64 z x) y))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 z x) y)) 2) (/.f64 (*.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 (*.f64 z x) y)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (*.f64 z x) y))) (sqrt.f64 (/.f64 (*.f64 z x) y)) (/.f64 (*.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (neg.f64 z) x) y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (/.f64 (*.f64 z x) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 x (/.f64 (*.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 x (/.f64 (*.f64 z x) y))) (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (*.f64 z x) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (*.f64 z x) y))) 2) (cbrt.f64 (-.f64 x (/.f64 (*.f64 z x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x (/.f64 (*.f64 z x) y))) (sqrt.f64 (-.f64 x (/.f64 (*.f64 z x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (*.f64 z x) y) 3)) (/.f64 1 (fma.f64 x x (*.f64 (/.f64 (*.f64 z x) y) (+.f64 x (/.f64 (*.f64 z x) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 z x) y) 2)) (/.f64 1 (+.f64 x (/.f64 (*.f64 z x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (*.f64 z x) y))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (*.f64 z x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (/.f64 (*.f64 z x) y) (+.f64 x (/.f64 (*.f64 z x) y)))) (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (*.f64 z x) y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (/.f64 (*.f64 z x) y)) (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 z x) y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (*.f64 z x) y) 3)) (fma.f64 x x (*.f64 (/.f64 (*.f64 z x) y) (+.f64 x (/.f64 (*.f64 z x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 z x) y) 2)) (+.f64 x (/.f64 (*.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (*.f64 z x) y) 3))) (neg.f64 (fma.f64 x x (*.f64 (/.f64 (*.f64 z x) y) (+.f64 x (/.f64 (*.f64 z x) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 z x) y) 2))) (neg.f64 (+.f64 x (/.f64 (*.f64 z x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (*.f64 (neg.f64 z) x) y) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 (*.f64 (neg.f64 z) x) y) (/.f64 (*.f64 (neg.f64 z) x) y)) (*.f64 x (/.f64 (*.f64 (neg.f64 z) x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 (neg.f64 z) x) y) (/.f64 (*.f64 (neg.f64 z) x) y))) (-.f64 x (/.f64 (*.f64 (neg.f64 z) x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 x (/.f64 (*.f64 z x) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 x (/.f64 (*.f64 z x) y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 x (/.f64 (*.f64 z x) y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 x (/.f64 (*.f64 z x) y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 x (/.f64 (*.f64 z x) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 x (/.f64 (*.f64 z x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 x (/.f64 (*.f64 z x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 x (/.f64 (*.f64 z x) y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 x (/.f64 (*.f64 z x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (/.f64 (*.f64 (neg.f64 z) x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 (*.f64 (neg.f64 z) x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (*.f64 (neg.f64 z) x) y))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 x (/.f64 (*.f64 z x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 x (/.f64 (*.f64 z x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 x (/.f64 (*.f64 z x) y))) 1)))))) |
| 1× | egg-herbie |
| 379× | fma-def_binary64 |
| 215× | fma-neg_binary64 |
| 70× | distribute-rgt-in_binary64 |
| 64× | cancel-sign-sub-inv_binary64 |
| 63× | distribute-lft-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 582 |
| 1 | 36 | 582 |
| 2 | 88 | 582 |
| 3 | 158 | 582 |
| 4 | 338 | 582 |
| 5 | 754 | 582 |
| 6 | 1376 | 582 |
| 7 | 1613 | 582 |
| 8 | 1623 | 582 |
| 9 | 1637 | 582 |
| 10 | 1642 | 582 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 -1 (*.f64 x (-.f64 (/.f64 z y) 1))) |
(*.f64 -1 (*.f64 x (-.f64 (/.f64 z y) 1))) |
(*.f64 -1 (*.f64 x (-.f64 (/.f64 z y) 1))) |
(*.f64 -1 (*.f64 x (-.f64 (/.f64 z y) 1))) |
x |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
x |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
x |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
| Outputs |
|---|
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 (/.f64 z y) (neg.f64 x) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 (/.f64 z y) (neg.f64 x) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 (/.f64 z y) (neg.f64 x) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 (/.f64 z y) (neg.f64 x) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 (/.f64 z y) (neg.f64 x) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 (/.f64 z y) (neg.f64 x) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 (/.f64 z y) (neg.f64 x) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 (/.f64 z y) (neg.f64 x) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(*.f64 -1 (*.f64 x (-.f64 (/.f64 z y) 1))) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 (/.f64 z y) (neg.f64 x) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(*.f64 -1 (*.f64 x (-.f64 (/.f64 z y) 1))) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 (/.f64 z y) (neg.f64 x) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(*.f64 -1 (*.f64 x (-.f64 (/.f64 z y) 1))) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 (/.f64 z y) (neg.f64 x) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(*.f64 -1 (*.f64 x (-.f64 (/.f64 z y) 1))) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 (/.f64 z y) (neg.f64 x) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(-.f64 x (*.f64 z (/.f64 x y))) |
x |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 (/.f64 z y) (neg.f64 x) x) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 (/.f64 z y) (neg.f64 x) x) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 (/.f64 z y) (neg.f64 x) x) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 (*.f64 z x) y)) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 (/.f64 z y) (neg.f64 x)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 (/.f64 z y) (neg.f64 x) x) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 (/.f64 z y) (neg.f64 x) x) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 (/.f64 z y) (neg.f64 x) x) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 (*.f64 z x) y)) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 (/.f64 z y) (neg.f64 x)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 (/.f64 z y) (neg.f64 x) x) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 (/.f64 z y) (neg.f64 x) x) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 (/.f64 z y) (neg.f64 x) x) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 (*.f64 z x) y)) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 (/.f64 z y) (neg.f64 x)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 (/.f64 z y) (neg.f64 x) x) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 (/.f64 z y) (neg.f64 x) x) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 (/.f64 z y) (neg.f64 x) x) |
(-.f64 x (*.f64 z (/.f64 x y))) |
x |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 (/.f64 z y) (neg.f64 x) x) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 (/.f64 z y) (neg.f64 x) x) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 (/.f64 z y) (neg.f64 x) x) |
(-.f64 x (*.f64 z (/.f64 x y))) |
x |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 (/.f64 z y) (neg.f64 x) x) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 (/.f64 z y) (neg.f64 x) x) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 (/.f64 z y) (neg.f64 x) x) |
(-.f64 x (*.f64 z (/.f64 x y))) |
8 alts after pruning (6 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 68 | 1 | 69 |
| Fresh | 1 | 5 | 6 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 69 | 8 | 77 |
| Status | Error | Program |
|---|---|---|
| 6.4b | (-.f64 x (/.f64 (/.f64 (*.f64 z x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))) | |
| 6.1b | (-.f64 x (pow.f64 (/.f64 y (*.f64 z x)) -1)) | |
| 4.2b | (-.f64 x (*.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) y) (/.f64 (cbrt.f64 z) (/.f64 1 x)))) | |
| ▶ | 3.8b | (-.f64 x (*.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (/.f64 x y)))) |
| ✓ | 3.3b | (-.f64 x (*.f64 z (/.f64 x y))) |
| 6.1b | (-.f64 x (/.f64 (*.f64 z x) y)) | |
| 31.3b | (pow.f64 (sqrt.f64 (*.f64 x (-.f64 1 (/.f64 z y)))) 2) | |
| ✓ | 2.8b | (-.f64 x (/.f64 z (/.f64 y x))) |
Compiled 1105 to 373 computations (66.2% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.5b | (pow.f64 (cbrt.f64 z) 2) |
| ✓ | 0.5b | (cbrt.f64 z) |
| ✓ | 2.1b | (*.f64 (cbrt.f64 z) (/.f64 x y)) |
| ✓ | 2.8b | (*.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (/.f64 x y))) |
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 50.0ms | z | @ | -inf | (*.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (/.f64 x y))) |
| 18.0ms | y | @ | -inf | (*.f64 (cbrt.f64 z) (/.f64 x y)) |
| 17.0ms | z | @ | -inf | (pow.f64 (cbrt.f64 z) 2) |
| 16.0ms | x | @ | inf | (*.f64 (cbrt.f64 z) (/.f64 x y)) |
| 16.0ms | x | @ | -inf | (*.f64 (cbrt.f64 z) (/.f64 x y)) |
| 1× | batch-egg-rewrite |
| 513× | log-prod_binary64 |
| 252× | pow2_binary64 |
| 182× | pow1/3_binary64 |
| 175× | expm1-udef_binary64 |
| 175× | log1p-udef_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 25 |
| 1 | 209 | 25 |
| 2 | 2551 | 25 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (/.f64 x y))) |
(*.f64 (cbrt.f64 z) (/.f64 x y)) |
(cbrt.f64 z) |
(pow.f64 (cbrt.f64 z) 2) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 z (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (/.f64 x y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (/.f64 x y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z (/.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 z (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (cbrt.f64 z) x) (pow.f64 (cbrt.f64 z) 2)) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z x) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (neg.f64 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (/.f64 x y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (/.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (/.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (/.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 z 3) (pow.f64 (/.f64 x y) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 z z) (pow.f64 (*.f64 (cbrt.f64 z) (/.f64 x y)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 (cbrt.f64 z) (/.f64 x y)) 3) (*.f64 z z)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (/.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 z (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (/.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (/.f64 x y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 z z) (pow.f64 (*.f64 (cbrt.f64 z) (/.f64 x y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (cbrt.f64 z) (/.f64 x y)) 3) (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 z (/.f64 x y))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cbrt.f64 z) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 x y)) (cbrt.f64 z))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 x y)) (cbrt.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 x y)) (cbrt.f64 z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 x y)) (cbrt.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cbrt.f64 z) (/.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 z) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 (cbrt.f64 z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 z) x) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (cbrt.f64 z) x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (cbrt.f64 z) x) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (cbrt.f64 z) x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (cbrt.f64 z) x) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) (cbrt.f64 z)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 z) (neg.f64 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 z) (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cbrt.f64 z) (/.f64 x y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cbrt.f64 z) (/.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 z) (/.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cbrt.f64 z) (/.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (pow.f64 (/.f64 x y) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 x y) 3) z) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 (cbrt.f64 z) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cbrt.f64 z) (/.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 x y)) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cbrt.f64 z) (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cbrt.f64 z) (/.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 z (pow.f64 (/.f64 x y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 x y) 3) z))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cbrt.f64 z) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cbrt.f64 z) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cbrt.f64 z) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (cbrt.f64 z) (/.f64 x y))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 z))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 z)))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2) (cbrt.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 z 1/6) (pow.f64 z 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 z (cbrt.f64 z)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 z 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 z) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 z 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 z) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 z)) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (cbrt.f64 z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 z) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 z) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 z) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 z) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 z) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 z) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 z) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2) (cbrt.f64 (*.f64 z (cbrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2) (*.f64 (cbrt.f64 (cbrt.f64 z)) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 z (cbrt.f64 z))) (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 z) (pow.f64 z 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 z 1/6) (*.f64 (pow.f64 z 1/6) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2)) (cbrt.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 z (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2/3 (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2/3 (log.f64 z)) 1)))))) |
| 1× | egg-herbie |
| 1175× | associate-/l/_binary64 |
| 778× | associate-/r/_binary64 |
| 628× | associate-/l*_binary64 |
| 241× | associate-*l/_binary64 |
| 226× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 468 |
| 1 | 22 | 468 |
| 2 | 41 | 468 |
| 3 | 75 | 468 |
| 4 | 186 | 468 |
| 5 | 622 | 468 |
| 6 | 1485 | 468 |
| 7 | 2971 | 468 |
| 8 | 3039 | 468 |
| 9 | 3139 | 468 |
| 10 | 3266 | 468 |
| 11 | 3480 | 468 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 x y) (pow.f64 z 1/3)) |
(*.f64 (/.f64 x y) (pow.f64 z 1/3)) |
(*.f64 (/.f64 x y) (pow.f64 z 1/3)) |
(*.f64 (/.f64 x y) (pow.f64 z 1/3)) |
(*.f64 (/.f64 x y) (pow.f64 z 1/3)) |
(*.f64 (/.f64 x y) (pow.f64 z 1/3)) |
(*.f64 (/.f64 x y) (pow.f64 z 1/3)) |
(*.f64 (/.f64 x y) (pow.f64 z 1/3)) |
(*.f64 (/.f64 x y) (pow.f64 z 1/3)) |
(*.f64 (/.f64 x y) (pow.f64 z 1/3)) |
(*.f64 (/.f64 x y) (pow.f64 z 1/3)) |
(*.f64 (/.f64 x y) (pow.f64 z 1/3)) |
(*.f64 (/.f64 x y) (pow.f64 z 1/3)) |
(*.f64 (/.f64 x y) (pow.f64 z 1/3)) |
(*.f64 (/.f64 x y) (pow.f64 z 1/3)) |
(*.f64 (/.f64 x y) (pow.f64 z 1/3)) |
(*.f64 (/.f64 x y) (pow.f64 z 1/3)) |
(*.f64 (/.f64 x y) (pow.f64 z 1/3)) |
(*.f64 (/.f64 x y) (pow.f64 z 1/3)) |
(*.f64 (/.f64 x y) (pow.f64 z 1/3)) |
(*.f64 (/.f64 x y) (pow.f64 z 1/3)) |
(*.f64 (/.f64 x y) (pow.f64 z 1/3)) |
(*.f64 (/.f64 x y) (pow.f64 z 1/3)) |
(*.f64 (/.f64 x y) (pow.f64 z 1/3)) |
| Outputs |
|---|
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(*.f64 (/.f64 x y) (pow.f64 z 1/3)) |
(*.f64 (/.f64 x y) (cbrt.f64 z)) |
(/.f64 (*.f64 x (cbrt.f64 z)) y) |
(*.f64 x (/.f64 (cbrt.f64 z) y)) |
(*.f64 (/.f64 x y) (pow.f64 z 1/3)) |
(*.f64 (/.f64 x y) (cbrt.f64 z)) |
(/.f64 (*.f64 x (cbrt.f64 z)) y) |
(*.f64 x (/.f64 (cbrt.f64 z) y)) |
(*.f64 (/.f64 x y) (pow.f64 z 1/3)) |
(*.f64 (/.f64 x y) (cbrt.f64 z)) |
(/.f64 (*.f64 x (cbrt.f64 z)) y) |
(*.f64 x (/.f64 (cbrt.f64 z) y)) |
(*.f64 (/.f64 x y) (pow.f64 z 1/3)) |
(*.f64 (/.f64 x y) (cbrt.f64 z)) |
(/.f64 (*.f64 x (cbrt.f64 z)) y) |
(*.f64 x (/.f64 (cbrt.f64 z) y)) |
(*.f64 (/.f64 x y) (pow.f64 z 1/3)) |
(*.f64 (/.f64 x y) (cbrt.f64 z)) |
(/.f64 (*.f64 x (cbrt.f64 z)) y) |
(*.f64 x (/.f64 (cbrt.f64 z) y)) |
(*.f64 (/.f64 x y) (pow.f64 z 1/3)) |
(*.f64 (/.f64 x y) (cbrt.f64 z)) |
(/.f64 (*.f64 x (cbrt.f64 z)) y) |
(*.f64 x (/.f64 (cbrt.f64 z) y)) |
(*.f64 (/.f64 x y) (pow.f64 z 1/3)) |
(*.f64 (/.f64 x y) (cbrt.f64 z)) |
(/.f64 (*.f64 x (cbrt.f64 z)) y) |
(*.f64 x (/.f64 (cbrt.f64 z) y)) |
(*.f64 (/.f64 x y) (pow.f64 z 1/3)) |
(*.f64 (/.f64 x y) (cbrt.f64 z)) |
(/.f64 (*.f64 x (cbrt.f64 z)) y) |
(*.f64 x (/.f64 (cbrt.f64 z) y)) |
(*.f64 (/.f64 x y) (pow.f64 z 1/3)) |
(*.f64 (/.f64 x y) (cbrt.f64 z)) |
(/.f64 (*.f64 x (cbrt.f64 z)) y) |
(*.f64 x (/.f64 (cbrt.f64 z) y)) |
(*.f64 (/.f64 x y) (pow.f64 z 1/3)) |
(*.f64 (/.f64 x y) (cbrt.f64 z)) |
(/.f64 (*.f64 x (cbrt.f64 z)) y) |
(*.f64 x (/.f64 (cbrt.f64 z) y)) |
(*.f64 (/.f64 x y) (pow.f64 z 1/3)) |
(*.f64 (/.f64 x y) (cbrt.f64 z)) |
(/.f64 (*.f64 x (cbrt.f64 z)) y) |
(*.f64 x (/.f64 (cbrt.f64 z) y)) |
(*.f64 (/.f64 x y) (pow.f64 z 1/3)) |
(*.f64 (/.f64 x y) (cbrt.f64 z)) |
(/.f64 (*.f64 x (cbrt.f64 z)) y) |
(*.f64 x (/.f64 (cbrt.f64 z) y)) |
(*.f64 (/.f64 x y) (pow.f64 z 1/3)) |
(*.f64 (/.f64 x y) (cbrt.f64 z)) |
(/.f64 (*.f64 x (cbrt.f64 z)) y) |
(*.f64 x (/.f64 (cbrt.f64 z) y)) |
(*.f64 (/.f64 x y) (pow.f64 z 1/3)) |
(*.f64 (/.f64 x y) (cbrt.f64 z)) |
(/.f64 (*.f64 x (cbrt.f64 z)) y) |
(*.f64 x (/.f64 (cbrt.f64 z) y)) |
(*.f64 (/.f64 x y) (pow.f64 z 1/3)) |
(*.f64 (/.f64 x y) (cbrt.f64 z)) |
(/.f64 (*.f64 x (cbrt.f64 z)) y) |
(*.f64 x (/.f64 (cbrt.f64 z) y)) |
(*.f64 (/.f64 x y) (pow.f64 z 1/3)) |
(*.f64 (/.f64 x y) (cbrt.f64 z)) |
(/.f64 (*.f64 x (cbrt.f64 z)) y) |
(*.f64 x (/.f64 (cbrt.f64 z) y)) |
(*.f64 (/.f64 x y) (pow.f64 z 1/3)) |
(*.f64 (/.f64 x y) (cbrt.f64 z)) |
(/.f64 (*.f64 x (cbrt.f64 z)) y) |
(*.f64 x (/.f64 (cbrt.f64 z) y)) |
(*.f64 (/.f64 x y) (pow.f64 z 1/3)) |
(*.f64 (/.f64 x y) (cbrt.f64 z)) |
(/.f64 (*.f64 x (cbrt.f64 z)) y) |
(*.f64 x (/.f64 (cbrt.f64 z) y)) |
(*.f64 (/.f64 x y) (pow.f64 z 1/3)) |
(*.f64 (/.f64 x y) (cbrt.f64 z)) |
(/.f64 (*.f64 x (cbrt.f64 z)) y) |
(*.f64 x (/.f64 (cbrt.f64 z) y)) |
(*.f64 (/.f64 x y) (pow.f64 z 1/3)) |
(*.f64 (/.f64 x y) (cbrt.f64 z)) |
(/.f64 (*.f64 x (cbrt.f64 z)) y) |
(*.f64 x (/.f64 (cbrt.f64 z) y)) |
(*.f64 (/.f64 x y) (pow.f64 z 1/3)) |
(*.f64 (/.f64 x y) (cbrt.f64 z)) |
(/.f64 (*.f64 x (cbrt.f64 z)) y) |
(*.f64 x (/.f64 (cbrt.f64 z) y)) |
(*.f64 (/.f64 x y) (pow.f64 z 1/3)) |
(*.f64 (/.f64 x y) (cbrt.f64 z)) |
(/.f64 (*.f64 x (cbrt.f64 z)) y) |
(*.f64 x (/.f64 (cbrt.f64 z) y)) |
(*.f64 (/.f64 x y) (pow.f64 z 1/3)) |
(*.f64 (/.f64 x y) (cbrt.f64 z)) |
(/.f64 (*.f64 x (cbrt.f64 z)) y) |
(*.f64 x (/.f64 (cbrt.f64 z) y)) |
(*.f64 (/.f64 x y) (pow.f64 z 1/3)) |
(*.f64 (/.f64 x y) (cbrt.f64 z)) |
(/.f64 (*.f64 x (cbrt.f64 z)) y) |
(*.f64 x (/.f64 (cbrt.f64 z) y)) |
8 alts after pruning (5 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 133 | 0 | 133 |
| Fresh | 0 | 5 | 5 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 133 | 8 | 141 |
| Status | Error | Program |
|---|---|---|
| 6.4b | (-.f64 x (/.f64 (/.f64 (*.f64 z x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))) | |
| 6.1b | (-.f64 x (pow.f64 (/.f64 y (*.f64 z x)) -1)) | |
| ▶ | 4.2b | (-.f64 x (*.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) y) (/.f64 (cbrt.f64 z) (/.f64 1 x)))) |
| ✓ | 3.8b | (-.f64 x (*.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (/.f64 x y)))) |
| ✓ | 3.3b | (-.f64 x (*.f64 z (/.f64 x y))) |
| 6.1b | (-.f64 x (/.f64 (*.f64 z x) y)) | |
| 31.3b | (pow.f64 (sqrt.f64 (*.f64 x (-.f64 1 (/.f64 z y)))) 2) | |
| ✓ | 2.8b | (-.f64 x (/.f64 z (/.f64 y x))) |
Compiled 2254 to 976 computations (56.7% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.4b | (/.f64 (cbrt.f64 z) (/.f64 1 x)) |
| 0.5b | (pow.f64 (cbrt.f64 z) 2) | |
| 0.5b | (cbrt.f64 z) | |
| ✓ | 5.6b | (*.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) y) (/.f64 (cbrt.f64 z) (/.f64 1 x))) |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 50.0ms | z | @ | -inf | (*.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) y) (/.f64 (cbrt.f64 z) (/.f64 1 x))) |
| 17.0ms | x | @ | 0 | (/.f64 (cbrt.f64 z) (/.f64 1 x)) |
| 15.0ms | x | @ | -inf | (/.f64 (cbrt.f64 z) (/.f64 1 x)) |
| 14.0ms | x | @ | inf | (/.f64 (cbrt.f64 z) (/.f64 1 x)) |
| 11.0ms | z | @ | -inf | (/.f64 (cbrt.f64 z) (/.f64 1 x)) |
| 1× | batch-egg-rewrite |
| 617× | log-prod_binary64 |
| 209× | expm1-udef_binary64 |
| 209× | log1p-udef_binary64 |
| 200× | log-div_binary64 |
| 181× | log-pow_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 19 |
| 1 | 259 | 13 |
| 2 | 3382 | 13 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) y) (/.f64 (cbrt.f64 z) (/.f64 1 x))) |
(/.f64 (cbrt.f64 z) (/.f64 1 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 z (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 z (/.f64 y x)))) (cbrt.f64 (exp.f64 (/.f64 z (/.f64 y x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 z (/.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 z (/.f64 y x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 z (/.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 z (/.f64 y x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 z (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 z) (*.f64 (/.f64 y (pow.f64 (cbrt.f64 z) 2)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 z) (*.f64 (/.f64 1 x) (/.f64 y (pow.f64 (cbrt.f64 z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 y (/.f64 1 (*.f64 (cbrt.f64 z) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (/.f64 1 (*.f64 (cbrt.f64 z) x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 z) 2) (/.f64 (/.f64 y x) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 z) 2) (/.f64 y (*.f64 (cbrt.f64 z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) y) (/.f64 1 (*.f64 (cbrt.f64 z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 y (pow.f64 (cbrt.f64 z) 2)) (/.f64 1 (*.f64 (cbrt.f64 z) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 1 (*.f64 (cbrt.f64 z) x)) (/.f64 y (pow.f64 (cbrt.f64 z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 y x) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 1 x) (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 z) x) (/.f64 y (pow.f64 (cbrt.f64 z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 z) (/.f64 (/.f64 y x) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cbrt.f64 z)) (*.f64 (/.f64 y (pow.f64 (cbrt.f64 z) 2)) (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (cbrt.f64 z) 2)) (*.f64 (/.f64 1 (*.f64 (cbrt.f64 z) x)) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z x) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 z y) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 z) (neg.f64 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 z x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 z y)) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 z) 2)) 1) (*.f64 (neg.f64 y) (/.f64 1 (*.f64 (cbrt.f64 z) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z)) (*.f64 (neg.f64 y) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 z) 2) (neg.f64 (cbrt.f64 z))) (*.f64 y (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 z) 2)) (neg.f64 (cbrt.f64 z))) (*.f64 (neg.f64 y) (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2)) (*.f64 (/.f64 -1 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (cbrt.f64 z)) 1) (*.f64 (/.f64 -1 x) (/.f64 y (pow.f64 (cbrt.f64 z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 z) (neg.f64 (pow.f64 (cbrt.f64 z) 2))) (*.f64 (/.f64 1 x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (cbrt.f64 z)) (neg.f64 (pow.f64 (cbrt.f64 z) 2))) (*.f64 (/.f64 -1 x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 z y) 1) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z x) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z x) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 z y) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 z y) (pow.f64 x -1/2)) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 z) 2)) (*.f64 (cbrt.f64 z) x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (cbrt.f64 z)) (/.f64 (pow.f64 (cbrt.f64 z) 2) y)) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) y) (neg.f64 (cbrt.f64 z))) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (cbrt.f64 z) x) (neg.f64 (pow.f64 (cbrt.f64 z) 2))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 z (/.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 z (/.f64 y x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 z (/.f64 y x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 z (/.f64 y x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 z (/.f64 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 z (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 z (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 z (/.f64 y x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) y) 3) (pow.f64 (*.f64 (cbrt.f64 z) x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (cbrt.f64 z) x) 3) (pow.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 z (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 z (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 z (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 z (/.f64 y x))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cbrt.f64 z) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (cbrt.f64 z) x))) (cbrt.f64 (exp.f64 (*.f64 (cbrt.f64 z) x))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (cbrt.f64 z) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (cbrt.f64 z) x)))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (cbrt.f64 z) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cbrt.f64 z) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 z) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (cbrt.f64 z) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 z) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (cbrt.f64 z) x)) (cbrt.f64 (pow.f64 (*.f64 (cbrt.f64 z) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (cbrt.f64 z) x) 2)) (cbrt.f64 (*.f64 (cbrt.f64 z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2) (*.f64 (cbrt.f64 (cbrt.f64 z)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (cbrt.f64 z) x)) (sqrt.f64 (*.f64 (cbrt.f64 z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 z 1/6) (*.f64 (pow.f64 z 1/6) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cbrt.f64 z)) (/.f64 1 (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2) 1) (/.f64 (cbrt.f64 (cbrt.f64 z)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 z 1/6) 1) (/.f64 (pow.f64 z 1/6) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 x -2))) (/.f64 (cbrt.f64 z) (/.f64 1 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2) (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (*.f64 (cbrt.f64 z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 z 1/6) (cbrt.f64 (pow.f64 x -2))) (/.f64 (pow.f64 z 1/6) (/.f64 1 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 x -1/2)) (/.f64 (cbrt.f64 z) (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 2) (pow.f64 x -1/2)) (/.f64 (cbrt.f64 (cbrt.f64 z)) (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 z) -1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 z) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 z) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cbrt.f64 z) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 z) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cbrt.f64 z) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (*.f64 (cbrt.f64 z) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (cbrt.f64 z) (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cbrt.f64 z) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (cbrt.f64 z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cbrt.f64 z) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cbrt.f64 z) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 z (/.f64 (pow.f64 x -2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cbrt.f64 z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cbrt.f64 z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cbrt.f64 z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (cbrt.f64 z) x)) 1)))))) |
| 1× | egg-herbie |
| 728× | sqr-pow_binary64 |
| 441× | associate-*l*_binary64 |
| 362× | unswap-sqr_binary64 |
| 313× | pow-sqr_binary64 |
| 256× | cube-prod_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 324 |
| 1 | 19 | 324 |
| 2 | 32 | 324 |
| 3 | 55 | 324 |
| 4 | 115 | 324 |
| 5 | 318 | 324 |
| 6 | 1162 | 324 |
| 7 | 1851 | 324 |
| 8 | 1941 | 324 |
| 9 | 2077 | 324 |
| 10 | 2238 | 324 |
| 11 | 2471 | 324 |
| 12 | 2796 | 324 |
| 13 | 3220 | 324 |
| 14 | 3723 | 324 |
| 15 | 4323 | 324 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(*.f64 (pow.f64 z 1/3) x) |
(*.f64 (pow.f64 z 1/3) x) |
(*.f64 (pow.f64 z 1/3) x) |
(*.f64 (pow.f64 z 1/3) x) |
(*.f64 (pow.f64 z 1/3) x) |
(*.f64 (pow.f64 z 1/3) x) |
(*.f64 (pow.f64 z 1/3) x) |
(*.f64 (pow.f64 z 1/3) x) |
(*.f64 (pow.f64 z 1/3) x) |
(*.f64 (pow.f64 z 1/3) x) |
(*.f64 (pow.f64 z 1/3) x) |
(*.f64 (pow.f64 z 1/3) x) |
| Outputs |
|---|
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(*.f64 (pow.f64 z 1/3) x) |
(*.f64 x (cbrt.f64 z)) |
(*.f64 (pow.f64 z 1/3) x) |
(*.f64 x (cbrt.f64 z)) |
(*.f64 (pow.f64 z 1/3) x) |
(*.f64 x (cbrt.f64 z)) |
(*.f64 (pow.f64 z 1/3) x) |
(*.f64 x (cbrt.f64 z)) |
(*.f64 (pow.f64 z 1/3) x) |
(*.f64 x (cbrt.f64 z)) |
(*.f64 (pow.f64 z 1/3) x) |
(*.f64 x (cbrt.f64 z)) |
(*.f64 (pow.f64 z 1/3) x) |
(*.f64 x (cbrt.f64 z)) |
(*.f64 (pow.f64 z 1/3) x) |
(*.f64 x (cbrt.f64 z)) |
(*.f64 (pow.f64 z 1/3) x) |
(*.f64 x (cbrt.f64 z)) |
(*.f64 (pow.f64 z 1/3) x) |
(*.f64 x (cbrt.f64 z)) |
(*.f64 (pow.f64 z 1/3) x) |
(*.f64 x (cbrt.f64 z)) |
(*.f64 (pow.f64 z 1/3) x) |
(*.f64 x (cbrt.f64 z)) |
6 alts after pruning (3 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 169 | 1 | 170 |
| Fresh | 2 | 2 | 4 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 2 | 3 |
| Total | 172 | 6 | 178 |
| Status | Error | Program |
|---|---|---|
| ✓ | 4.2b | (-.f64 x (*.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) y) (/.f64 (cbrt.f64 z) (/.f64 1 x)))) |
| ✓ | 3.8b | (-.f64 x (*.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (/.f64 x y)))) |
| 3.7b | (-.f64 x (/.f64 (/.f64 z y) (/.f64 1 x))) | |
| 6.1b | (-.f64 x (/.f64 (*.f64 z x) y)) | |
| ✓ | 2.8b | (-.f64 x (/.f64 z (/.f64 y x))) |
| 6.4b | (-.f64 x (/.f64 (/.f64 (*.f64 z x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))) |
Compiled 2946 to 1525 computations (48.2% saved)
Total 1.6b remaining (98.7%)
Threshold costs 0b (0%)
Compiled 1716 to 1090 computations (36.5% saved)
| 3× | binary-search |
3 calls:
| 18.0ms | x |
| 14.0ms | x |
| 4.0ms | x |
| Iters | Point | Range | ||||
|---|---|---|---|---|---|---|
6.5e-79 | ∈ [ | 8.249613882916786e-85 | , | 6.067641540245145e-77 | ] | |
7e-303 | ∈ [ | 7.426112998220957e-306 | , | 3.9869047154120863e-302 | ] | |
-1.15e-35 | ∈ [ | -1.2897777639678467e-35 | , | -1.1384310701310399e-35 | ] | |
Compiled 4 to 3 computations (25% saved)
| 1× | egg-herbie |
| 11× | +-commutative_binary64 |
| 11× | sub-neg_binary64 |
| 10× | *-commutative_binary64 |
| 8× | neg-sub0_binary64 |
| 8× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 61 |
| 1 | 44 | 61 |
| 2 | 65 | 61 |
| 3 | 84 | 61 |
| 4 | 94 | 61 |
| 5 | 98 | 61 |
| 6 | 99 | 61 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 x -2151330410151089/187072209578355573530071658587684226515959365500928) (fma.f64 (neg.f64 (/.f64 z y)) x x) (if (<=.f64 x 5404723255734155/772103322247736428651791941524190166662432288223808740069966728315087660095197093551484618001698015194652854401843307157096133183997320086925557708514169730840749451738610692460887556999562135090788908685580234789131193097780962748024381086918485856402626253175196722230275782071039209488625822100242638638716536487936) (-.f64 x (/.f64 (*.f64 z x) y)) (if (<=.f64 x 677925572924117/1042962419883256876169444192465601618458351817556959360325703910069443225478828393565899456512) (-.f64 x (*.f64 z (/.f64 x y))) (-.f64 x (/.f64 (/.f64 z y) (/.f64 1 x)))))) |
| Outputs |
|---|
(if (<=.f64 x -2151330410151089/187072209578355573530071658587684226515959365500928) (fma.f64 (neg.f64 (/.f64 z y)) x x) (if (<=.f64 x 5404723255734155/772103322247736428651791941524190166662432288223808740069966728315087660095197093551484618001698015194652854401843307157096133183997320086925557708514169730840749451738610692460887556999562135090788908685580234789131193097780962748024381086918485856402626253175196722230275782071039209488625822100242638638716536487936) (-.f64 x (/.f64 (*.f64 z x) y)) (if (<=.f64 x 677925572924117/1042962419883256876169444192465601618458351817556959360325703910069443225478828393565899456512) (-.f64 x (*.f64 z (/.f64 x y))) (-.f64 x (/.f64 (/.f64 z y) (/.f64 1 x)))))) |
(if (<=.f64 x -2151330410151089/187072209578355573530071658587684226515959365500928) (fma.f64 (/.f64 (neg.f64 z) y) x x) (if (<=.f64 x 5404723255734155/772103322247736428651791941524190166662432288223808740069966728315087660095197093551484618001698015194652854401843307157096133183997320086925557708514169730840749451738610692460887556999562135090788908685580234789131193097780962748024381086918485856402626253175196722230275782071039209488625822100242638638716536487936) (-.f64 x (/.f64 (*.f64 x z) y)) (if (<=.f64 x 677925572924117/1042962419883256876169444192465601618458351817556959360325703910069443225478828393565899456512) (-.f64 x (*.f64 z (/.f64 x y))) (-.f64 x (/.f64 (/.f64 z y) (/.f64 1 x)))))) |
| 1× | fuel |
Compiled 172 to 104 computations (39.5% saved)
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