Time bar (total: 2.7s)
| 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)
| 997.0ms | 8256× | body | 128 | valid |
| 96.0ms | 822× | 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 |
|---|---|---|
| ▶ | 4.2b | (-.f64 x (/.f64 z (/.f64 y x))) |
| 13.7b | (/.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))) |
| ✓ | 5.6b | (/.f64 z (/.f64 y x)) |
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | z | @ | -inf | (-.f64 x (/.f64 z (/.f64 y x))) |
| 1.0ms | x | @ | inf | (-.f64 x (/.f64 z (/.f64 y x))) |
| 1.0ms | y | @ | 0 | (/.f64 z (/.f64 y x)) |
| 1.0ms | z | @ | 0 | (/.f64 z (/.f64 y x)) |
| 1.0ms | z | @ | inf | (/.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))) |
5 alts after pruning (4 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 247 | 4 | 251 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 248 | 5 | 253 |
| Status | Error | Program |
|---|---|---|
| ▶ | 2.6b | (*.f64 (-.f64 1 (/.f64 z y)) x) |
| ✓ | 4.2b | (-.f64 x (/.f64 z (/.f64 y x))) |
| 4.4b | (-.f64 x (*.f64 z (/.f64 x y))) | |
| 3.0b | (-.f64 x (/.f64 (*.f64 z x) y)) | |
| 3.1b | (-.f64 x (pow.f64 (/.f64 y (*.f64 z x)) -1)) |
Compiled 6811 to 2270 computations (66.7% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 2.5b | (*.f64 (-.f64 1 (/.f64 z y)) x) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (*.f64 (-.f64 1 (/.f64 z y)) x) |
| 1.0ms | z | @ | 0 | (*.f64 (-.f64 1 (/.f64 z y)) x) |
| 1.0ms | x | @ | inf | (*.f64 (-.f64 1 (/.f64 z y)) x) |
| 1.0ms | x | @ | -inf | (*.f64 (-.f64 1 (/.f64 z y)) x) |
| 0.0ms | y | @ | inf | (*.f64 (-.f64 1 (/.f64 z y)) x) |
| 1× | batch-egg-rewrite |
| 837× | log1p-expm1-u_binary64 |
| 837× | expm1-log1p-u_binary64 |
| 86× | add-sqr-sqrt_binary64 |
| 84× | *-un-lft-identity_binary64 |
| 84× | pow1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 10 |
| 1 | 167 | 10 |
| 2 | 2199 | 10 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (-.f64 1 (/.f64 z y)) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (/.f64 (neg.f64 z) y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 x (/.f64 (neg.f64 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 (/.f64 z y)) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 z y) 3)) x) (+.f64 1 (+.f64 (/.f64 z y) (pow.f64 (/.f64 z y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 z y) 2)) x) (+.f64 1 (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1 (pow.f64 (/.f64 z y) 3))) (+.f64 1 (+.f64 (/.f64 z y) (pow.f64 (/.f64 z y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1 (pow.f64 (/.f64 z y) 2))) (+.f64 1 (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 1 (/.f64 z y)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 (/.f64 z y)) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (/.f64 z y)) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 1 (/.f64 z y)) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 1 (/.f64 z y)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 1 (/.f64 z y))) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 (/.f64 z y)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (/.f64 z y)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 1 (/.f64 z y)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 (/.f64 z y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 1 (/.f64 z y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 (/.f64 z y)) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 1 (/.f64 z y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 1 (/.f64 z y)) x))))))) |
| 1× | egg-herbie |
| 456× | fma-def_binary64 |
| 219× | fma-neg_binary64 |
| 74× | cancel-sign-sub-inv_binary64 |
| 58× | distribute-rgt-in_binary64 |
| 52× | distribute-lft-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 210 |
| 1 | 17 | 210 |
| 2 | 38 | 210 |
| 3 | 79 | 210 |
| 4 | 142 | 210 |
| 5 | 280 | 210 |
| 6 | 469 | 210 |
| 7 | 690 | 210 |
| 8 | 1068 | 210 |
| 9 | 1597 | 210 |
| 10 | 1611 | 210 |
| 11 | 1625 | 210 |
| 12 | 1630 | 210 |
| 1× | saturated |
| Inputs |
|---|
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 |
|---|
x |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(-.f64 x (/.f64 z (/.f64 y x))) |
(-.f64 x (/.f64 x (/.f64 y z))) |
(-.f64 x (*.f64 x (/.f64 z y))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(-.f64 x (/.f64 z (/.f64 y x))) |
(-.f64 x (/.f64 x (/.f64 y z))) |
(-.f64 x (*.f64 x (/.f64 z y))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(-.f64 x (/.f64 z (/.f64 y x))) |
(-.f64 x (/.f64 x (/.f64 y z))) |
(-.f64 x (*.f64 x (/.f64 z y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(*.f64 (/.f64 z y) (neg.f64 x)) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (/.f64 (neg.f64 x) y)) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(-.f64 x (/.f64 z (/.f64 y x))) |
(-.f64 x (/.f64 x (/.f64 y z))) |
(-.f64 x (*.f64 x (/.f64 z y))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(-.f64 x (/.f64 z (/.f64 y x))) |
(-.f64 x (/.f64 x (/.f64 y z))) |
(-.f64 x (*.f64 x (/.f64 z y))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(-.f64 x (/.f64 z (/.f64 y x))) |
(-.f64 x (/.f64 x (/.f64 y z))) |
(-.f64 x (*.f64 x (/.f64 z y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(*.f64 (/.f64 z y) (neg.f64 x)) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (/.f64 (neg.f64 x) y)) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(-.f64 x (/.f64 z (/.f64 y x))) |
(-.f64 x (/.f64 x (/.f64 y z))) |
(-.f64 x (*.f64 x (/.f64 z y))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(-.f64 x (/.f64 z (/.f64 y x))) |
(-.f64 x (/.f64 x (/.f64 y z))) |
(-.f64 x (*.f64 x (/.f64 z y))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(-.f64 x (/.f64 z (/.f64 y x))) |
(-.f64 x (/.f64 x (/.f64 y z))) |
(-.f64 x (*.f64 x (/.f64 z y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(*.f64 (/.f64 z y) (neg.f64 x)) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (/.f64 (neg.f64 x) y)) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(-.f64 x (/.f64 z (/.f64 y x))) |
(-.f64 x (/.f64 x (/.f64 y z))) |
(-.f64 x (*.f64 x (/.f64 z y))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(-.f64 x (/.f64 z (/.f64 y x))) |
(-.f64 x (/.f64 x (/.f64 y z))) |
(-.f64 x (*.f64 x (/.f64 z y))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(-.f64 x (/.f64 z (/.f64 y x))) |
(-.f64 x (/.f64 x (/.f64 y z))) |
(-.f64 x (*.f64 x (/.f64 z y))) |
x |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(-.f64 x (/.f64 z (/.f64 y x))) |
(-.f64 x (/.f64 x (/.f64 y z))) |
(-.f64 x (*.f64 x (/.f64 z y))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(-.f64 x (/.f64 z (/.f64 y x))) |
(-.f64 x (/.f64 x (/.f64 y z))) |
(-.f64 x (*.f64 x (/.f64 z y))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(-.f64 x (/.f64 z (/.f64 y x))) |
(-.f64 x (/.f64 x (/.f64 y z))) |
(-.f64 x (*.f64 x (/.f64 z y))) |
x |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(-.f64 x (/.f64 z (/.f64 y x))) |
(-.f64 x (/.f64 x (/.f64 y z))) |
(-.f64 x (*.f64 x (/.f64 z y))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(-.f64 x (/.f64 z (/.f64 y x))) |
(-.f64 x (/.f64 x (/.f64 y z))) |
(-.f64 x (*.f64 x (/.f64 z y))) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(-.f64 x (/.f64 z (/.f64 y x))) |
(-.f64 x (/.f64 x (/.f64 y z))) |
(-.f64 x (*.f64 x (/.f64 z y))) |
5 alts after pruning (3 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 26 | 0 | 26 |
| Fresh | 0 | 3 | 3 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 26 | 5 | 31 |
| Status | Error | Program |
|---|---|---|
| ✓ | 2.6b | (*.f64 (-.f64 1 (/.f64 z y)) x) |
| ✓ | 4.2b | (-.f64 x (/.f64 z (/.f64 y x))) |
| 4.4b | (-.f64 x (*.f64 z (/.f64 x y))) | |
| ▶ | 3.0b | (-.f64 x (/.f64 (*.f64 z x) y)) |
| 3.1b | (-.f64 x (pow.f64 (/.f64 y (*.f64 z x)) -1)) |
Compiled 356 to 204 computations (42.7% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 x (/.f64 (*.f64 z x) y)) |
| ✓ | 4.6b | (/.f64 (*.f64 z x) y) |
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | -inf | (/.f64 (*.f64 z x) y) |
| 1.0ms | x | @ | inf | (/.f64 (*.f64 z x) y) |
| 0.0ms | y | @ | inf | (/.f64 (*.f64 z x) y) |
| 0.0ms | z | @ | 0 | (/.f64 (*.f64 z x) y) |
| 0.0ms | z | @ | inf | (/.f64 (*.f64 z x) y) |
| 1× | batch-egg-rewrite |
| 915× | log1p-expm1-u_binary64 |
| 915× | expm1-log1p-u_binary64 |
| 85× | add-sqr-sqrt_binary64 |
| 84× | *-un-lft-identity_binary64 |
| 84× | pow1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 17 |
| 1 | 157 | 17 |
| 2 | 2393 | 17 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 z x) y) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 z y) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (/.f64 1 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (*.f64 x (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 z (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z x) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 z y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 z y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 z y) x)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 z y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 z y) x)) 2) (cbrt.f64 (*.f64 (/.f64 z y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) 2) (*.f64 (cbrt.f64 (*.f64 z x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 z y) x)) (sqrt.f64 (*.f64 (/.f64 z y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 z x)) (*.f64 (sqrt.f64 (*.f64 z x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (neg.f64 x)) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (*.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z 1) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) 2) 1) (/.f64 (cbrt.f64 (*.f64 z x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 z x)) 1) (/.f64 (sqrt.f64 (*.f64 z x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 z (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (*.f64 z x) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (*.f64 (/.f64 z y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 z x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (*.f64 z x)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 y)) (/.f64 z (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (*.f64 z x) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 z x)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 z y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 z y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 z y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 z y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 y x) z) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 z x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 z y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 z y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 z y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 z y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 z y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 z y) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 z y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 z y) x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (/.f64 (neg.f64 z) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (/.f64 (neg.f64 z) (/.f64 y x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 (/.f64 z y) x)) (fma.f64 (neg.f64 (/.f64 1 y)) (*.f64 z x) (*.f64 (/.f64 z y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 (/.f64 z y) x)) (fma.f64 (/.f64 (neg.f64 z) (/.f64 y x)) 1 (*.f64 (/.f64 z y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 (/.f64 z y) x)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (/.f64 z y) x))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 z y) x)) 2) (*.f64 (/.f64 z y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 (/.f64 z y) x)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 z y) x))) (sqrt.f64 (*.f64 (/.f64 z y) x)) (*.f64 (/.f64 z y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 z) (/.f64 y x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (*.f64 (/.f64 z y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 x (*.f64 (/.f64 z y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 x (*.f64 (/.f64 z y) x))) (pow.f64 (cbrt.f64 (-.f64 x (*.f64 (/.f64 z y) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 (/.f64 z y) x))) 2) (cbrt.f64 (-.f64 x (*.f64 (/.f64 z y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x (*.f64 (/.f64 z y) x))) (sqrt.f64 (-.f64 x (*.f64 (/.f64 z y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (/.f64 z y) x) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 (/.f64 z y) x) (+.f64 x (*.f64 (/.f64 z y) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 z y) x) 2)) (/.f64 1 (+.f64 x (*.f64 (/.f64 z y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (/.f64 z y) x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (/.f64 z y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 (/.f64 z y) x) (+.f64 x (*.f64 (/.f64 z y) x)))) (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (/.f64 z y) x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (*.f64 (/.f64 z y) x)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 z y) x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (/.f64 z y) x) 3)) (fma.f64 x x (*.f64 (*.f64 (/.f64 z y) x) (+.f64 x (*.f64 (/.f64 z y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 z y) x) 2)) (+.f64 x (*.f64 (/.f64 z y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (/.f64 z y) x) 3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 (/.f64 z y) x) (+.f64 x (*.f64 (/.f64 z y) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 z y) x) 2))) (neg.f64 (+.f64 x (*.f64 (/.f64 z y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (neg.f64 z) (/.f64 y x)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 (neg.f64 z) (/.f64 y x)) (/.f64 (neg.f64 z) (/.f64 y x))) (*.f64 x (/.f64 (neg.f64 z) (/.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (/.f64 (neg.f64 z) (/.f64 y x)) (/.f64 (neg.f64 z) (/.f64 y x)))) (-.f64 x (/.f64 (neg.f64 z) (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 x (*.f64 (/.f64 z y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 x (*.f64 (/.f64 z y) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 x (*.f64 (/.f64 z y) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 x (*.f64 (/.f64 z y) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 x (*.f64 (/.f64 z y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 x (*.f64 (/.f64 z y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 x (*.f64 (/.f64 z y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 x (*.f64 (/.f64 z y) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 x (*.f64 (/.f64 z y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 x (*.f64 (/.f64 z y) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (/.f64 (neg.f64 z) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 (neg.f64 z) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (neg.f64 z) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 x (*.f64 (/.f64 z y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 x (*.f64 (/.f64 z y) x)))))))) |
| 1× | egg-herbie |
| 221× | fma-neg_binary64 |
| 198× | fma-def_binary64 |
| 66× | associate-*l*_binary64 |
| 65× | associate-*r*_binary64 |
| 63× | distribute-rgt-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 150 |
| 1 | 34 | 150 |
| 2 | 85 | 150 |
| 3 | 152 | 150 |
| 4 | 327 | 150 |
| 5 | 726 | 150 |
| 6 | 1175 | 150 |
| 7 | 1404 | 150 |
| 8 | 1414 | 150 |
| 9 | 1428 | 150 |
| 10 | 1433 | 150 |
| 1× | saturated |
| Inputs |
|---|
(*.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 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
x |
x |
| Outputs |
|---|
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(*.f64 -1 (*.f64 x (-.f64 (/.f64 z y) 1))) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(*.f64 -1 (*.f64 x (-.f64 (/.f64 z y) 1))) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(*.f64 -1 (*.f64 x (-.f64 (/.f64 z y) 1))) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(*.f64 -1 (*.f64 x (-.f64 (/.f64 z y) 1))) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
(-.f64 x (*.f64 z (/.f64 x y))) |
x |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(/.f64 (*.f64 x (neg.f64 z)) y) |
(*.f64 (/.f64 z y) (neg.f64 x)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(/.f64 (*.f64 x (neg.f64 z)) y) |
(*.f64 (/.f64 z y) (neg.f64 x)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(/.f64 (*.f64 x (neg.f64 z)) y) |
(*.f64 (/.f64 z y) (neg.f64 x)) |
x |
x |
6 alts after pruning (3 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 85 | 1 | 86 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 85 | 6 | 91 |
| Status | Error | Program |
|---|---|---|
| ✓ | 2.6b | (*.f64 (-.f64 1 (/.f64 z y)) x) |
| ✓ | 4.2b | (-.f64 x (/.f64 z (/.f64 y x))) |
| 4.4b | (-.f64 x (*.f64 z (/.f64 x y))) | |
| ✓ | 3.0b | (-.f64 x (/.f64 (*.f64 z x) y)) |
| 3.2b | (-.f64 x (*.f64 (/.f64 z (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)))) | |
| ▶ | 3.1b | (-.f64 x (pow.f64 (/.f64 y (*.f64 z x)) -1)) |
Compiled 1271 to 421 computations (66.9% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 x (pow.f64 (/.f64 y (*.f64 z x)) -1)) |
| ✓ | 0.4b | (pow.f64 (/.f64 y (*.f64 z x)) -1) |
| ✓ | 4.6b | (/.f64 y (*.f64 z x)) |
27 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | -inf | (pow.f64 (/.f64 y (*.f64 z x)) -1) |
| 2.0ms | z | @ | 0 | (/.f64 y (*.f64 z x)) |
| 1.0ms | y | @ | 0 | (/.f64 y (*.f64 z x)) |
| 1.0ms | y | @ | 0 | (pow.f64 (/.f64 y (*.f64 z x)) -1) |
| 1.0ms | z | @ | -inf | (pow.f64 (/.f64 y (*.f64 z x)) -1) |
| 1× | batch-egg-rewrite |
| 502× | prod-diff_binary64 |
| 202× | fma-def_binary64 |
| 179× | expm1-udef_binary64 |
| 179× | log1p-udef_binary64 |
| 169× | egg-rr |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 30 |
| 1 | 199 | 24 |
| 2 | 2831 | 24 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 y (*.f64 z x)) |
(pow.f64 (/.f64 y (*.f64 z x)) -1) |
(-.f64 x (pow.f64 (/.f64 y (*.f64 z x)) -1)) |
| Outputs |
|---|
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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))) |
(*.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)) |
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)) |
| 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))) |
(*.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))) |
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))) |
5 alts after pruning (2 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 267 | 1 | 268 |
| Fresh | 1 | 1 | 2 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 3 | 3 |
| Total | 269 | 5 | 274 |
| Status | Error | Program |
|---|---|---|
| ✓ | 2.6b | (*.f64 (-.f64 1 (/.f64 z y)) x) |
| ✓ | 4.2b | (-.f64 x (/.f64 z (/.f64 y x))) |
| 2.1b | (-.f64 x (pow.f64 (*.f64 (/.f64 y z) (/.f64 1 x)) -1)) | |
| 4.4b | (-.f64 x (*.f64 z (/.f64 x y))) | |
| ✓ | 3.0b | (-.f64 x (/.f64 (*.f64 z x) y)) |
Compiled 6628 to 2149 computations (67.6% saved)
Total 3.0b remaining (99.8%)
Threshold costs 0b (0%)
Compiled 149 to 71 computations (52.3% saved)
| 1× | egg-herbie |
| 3× | +-commutative_binary64 |
| 3× | sub-neg_binary64 |
| 2× | *-commutative_binary64 |
| 2× | neg-sub0_binary64 |
| 2× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 10 |
| 1 | 9 | 10 |
| 2 | 16 | 10 |
| 3 | 20 | 10 |
| 4 | 23 | 10 |
| 5 | 24 | 10 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 x (/.f64 x (/.f64 y z))) |
| Outputs |
|---|
(-.f64 x (/.f64 x (/.f64 y z))) |
| 1× | fuel |
Compiled 74 to 47 computations (36.5% saved)
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