Time bar (total: 4.4s)
| 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 |
| 0% | 99.9% | 0.1% | 6 |
| 0% | 99.9% | 0.1% | 7 |
| 3.1% | 96.7% | 0.1% | 8 |
| 14% | 84.3% | 1.7% | 9 |
| 19.5% | 76.5% | 4% | 10 |
| 25.4% | 70.6% | 4% | 11 |
| 38.8% | 54.2% | 7% | 12 |
| 44.4% | 46.6% | 9% | 13 |
| 48.8% | 42.2% | 9% | 14 |
Compiled 11 to 7 computations (36.4% saved)
| 875.0ms | 8256× | body | 128 | valid |
| 80.0ms | 828× | body | 128 | invalid |
| 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))) |
Compiled 17 to 9 computations (47.1% saved)
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 |
|---|---|---|
| ▶ | 5.3b | (-.f64 x (/.f64 z (/.f64 y x))) |
| 12.2b | (/.f64 (*.f64 x (-.f64 y z)) y) |
Compiled 40 to 24 computations (40% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 x (/.f64 z (/.f64 y x))) |
| ✓ | 7.0b | (/.f64 z (/.f64 y x)) |
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (-.f64 x (/.f64 z (/.f64 y x))) |
| 1.0ms | z | @ | 0 | (/.f64 z (/.f64 y x)) |
| 1.0ms | y | @ | 0 | (/.f64 z (/.f64 y x)) |
| 1.0ms | z | @ | inf | (/.f64 z (/.f64 y x)) |
| 1.0ms | x | @ | 0 | (/.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 |
| 380× | fma-def_binary64 |
| 179× | fma-neg_binary64 |
| 55× | cancel-sign-sub-inv_binary64 |
| 47× | associate-*r*_binary64 |
| 44× | distribute-rgt-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 582 |
| 1 | 35 | 582 |
| 2 | 66 | 582 |
| 3 | 116 | 582 |
| 4 | 224 | 582 |
| 5 | 410 | 582 |
| 6 | 777 | 582 |
| 7 | 1053 | 582 |
| 8 | 1243 | 582 |
| 9 | 1362 | 582 |
| 10 | 1376 | 582 |
| 11 | 1381 | 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 (+.f64 1 (*.f64 -1 (/.f64 z y))) x) |
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x) |
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x) |
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x) |
x |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
x |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
x |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
| Outputs |
|---|
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 x (/.f64 y z)) |
(/.f64 z (/.f64 y x)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 x (/.f64 y z)) |
(/.f64 z (/.f64 y x)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 x (/.f64 y z)) |
(/.f64 z (/.f64 y x)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 x (/.f64 y z)) |
(/.f64 z (/.f64 y x)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 x (/.f64 y z)) |
(/.f64 z (/.f64 y x)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 x (/.f64 y z)) |
(/.f64 z (/.f64 y x)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 x (/.f64 y z)) |
(/.f64 z (/.f64 y x)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 x (/.f64 y z)) |
(/.f64 z (/.f64 y x)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 x (/.f64 y z)) |
(/.f64 z (/.f64 y x)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 x (/.f64 y z)) |
(/.f64 z (/.f64 y x)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 x (/.f64 y z)) |
(/.f64 z (/.f64 y x)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 x (/.f64 y z)) |
(/.f64 z (/.f64 y x)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 x (/.f64 y z)) |
(/.f64 z (/.f64 y x)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 x (/.f64 y z)) |
(/.f64 z (/.f64 y x)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 x (/.f64 y z)) |
(/.f64 z (/.f64 y x)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 x (/.f64 y z)) |
(/.f64 z (/.f64 y x)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 x (/.f64 y z)) |
(/.f64 z (/.f64 y x)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 x (/.f64 y z)) |
(/.f64 z (/.f64 y x)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 x (/.f64 y z)) |
(/.f64 z (/.f64 y x)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 x (/.f64 y z)) |
(/.f64 z (/.f64 y x)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 x (/.f64 y z)) |
(/.f64 z (/.f64 y x)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 x (/.f64 y z)) |
(/.f64 z (/.f64 y x)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 x (/.f64 y z)) |
(/.f64 z (/.f64 y x)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 x (/.f64 y z)) |
(/.f64 z (/.f64 y x)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 x (/.f64 y z)) |
(/.f64 z (/.f64 y x)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 x (/.f64 y z)) |
(/.f64 z (/.f64 y x)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 x (/.f64 y z)) |
(/.f64 z (/.f64 y x)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 x (/.f64 y z)) |
(/.f64 z (/.f64 y x)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 x (/.f64 y z)) |
(/.f64 z (/.f64 y x)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 x (/.f64 y z)) |
(/.f64 z (/.f64 y x)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 x (/.f64 y z)) |
(/.f64 z (/.f64 y x)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 x (/.f64 y z)) |
(/.f64 z (/.f64 y x)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 x (/.f64 y z)) |
(/.f64 z (/.f64 y x)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 x (/.f64 y z)) |
(/.f64 z (/.f64 y x)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 x (/.f64 y z)) |
(/.f64 z (/.f64 y x)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 x (/.f64 y z)) |
(/.f64 z (/.f64 y x)) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 x (/.f64 z y))) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (/.f64 x (/.f64 y z))) |
(-.f64 x (/.f64 z (/.f64 y x))) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 x (/.f64 z y))) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (/.f64 x (/.f64 y z))) |
(-.f64 x (/.f64 z (/.f64 y x))) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 x (/.f64 z y))) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (/.f64 x (/.f64 y z))) |
(-.f64 x (/.f64 z (/.f64 y x))) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 x (/.f64 z y))) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (/.f64 x (/.f64 y z))) |
(-.f64 x (/.f64 z (/.f64 y x))) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 x (/.f64 z y))) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (/.f64 x (/.f64 y z))) |
(-.f64 x (/.f64 z (/.f64 y x))) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 x (/.f64 z y))) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (/.f64 x (/.f64 y z))) |
(-.f64 x (/.f64 z (/.f64 y x))) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 x (/.f64 z y))) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (/.f64 x (/.f64 y z))) |
(-.f64 x (/.f64 z (/.f64 y x))) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 x (/.f64 z y))) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (/.f64 x (/.f64 y z))) |
(-.f64 x (/.f64 z (/.f64 y x))) |
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 x (/.f64 z y))) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (/.f64 x (/.f64 y z))) |
(-.f64 x (/.f64 z (/.f64 y x))) |
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 x (/.f64 z y))) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (/.f64 x (/.f64 y z))) |
(-.f64 x (/.f64 z (/.f64 y x))) |
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 x (/.f64 z y))) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (/.f64 x (/.f64 y z))) |
(-.f64 x (/.f64 z (/.f64 y x))) |
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 x (/.f64 z y))) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (/.f64 x (/.f64 y z))) |
(-.f64 x (/.f64 z (/.f64 y x))) |
x |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 x (/.f64 z y))) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (/.f64 x (/.f64 y z))) |
(-.f64 x (/.f64 z (/.f64 y x))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 x (/.f64 z y))) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (/.f64 x (/.f64 y z))) |
(-.f64 x (/.f64 z (/.f64 y x))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 x (/.f64 z y))) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (/.f64 x (/.f64 y z))) |
(-.f64 x (/.f64 z (/.f64 y x))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 (*.f64 z x) y)) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(/.f64 (*.f64 x (neg.f64 z)) y) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 (/.f64 z y) (neg.f64 x)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 x (/.f64 z y))) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (/.f64 x (/.f64 y z))) |
(-.f64 x (/.f64 z (/.f64 y x))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 x (/.f64 z y))) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (/.f64 x (/.f64 y z))) |
(-.f64 x (/.f64 z (/.f64 y x))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 x (/.f64 z y))) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (/.f64 x (/.f64 y z))) |
(-.f64 x (/.f64 z (/.f64 y x))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 (*.f64 z x) y)) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(/.f64 (*.f64 x (neg.f64 z)) y) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 (/.f64 z y) (neg.f64 x)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 x (/.f64 z y))) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (/.f64 x (/.f64 y z))) |
(-.f64 x (/.f64 z (/.f64 y x))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 x (/.f64 z y))) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (/.f64 x (/.f64 y z))) |
(-.f64 x (/.f64 z (/.f64 y x))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 x (/.f64 z y))) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (/.f64 x (/.f64 y z))) |
(-.f64 x (/.f64 z (/.f64 y x))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 (*.f64 z x) y)) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(/.f64 (*.f64 x (neg.f64 z)) y) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 (/.f64 z y) (neg.f64 x)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 x (/.f64 z y))) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (/.f64 x (/.f64 y z))) |
(-.f64 x (/.f64 z (/.f64 y x))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 x (/.f64 z y))) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (/.f64 x (/.f64 y z))) |
(-.f64 x (/.f64 z (/.f64 y x))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 x (/.f64 z y))) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (/.f64 x (/.f64 y z))) |
(-.f64 x (/.f64 z (/.f64 y x))) |
x |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 x (/.f64 z y))) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (/.f64 x (/.f64 y z))) |
(-.f64 x (/.f64 z (/.f64 y x))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 x (/.f64 z y))) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (/.f64 x (/.f64 y z))) |
(-.f64 x (/.f64 z (/.f64 y x))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 x (/.f64 z y))) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (/.f64 x (/.f64 y z))) |
(-.f64 x (/.f64 z (/.f64 y x))) |
x |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 x (/.f64 z y))) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (/.f64 x (/.f64 y z))) |
(-.f64 x (/.f64 z (/.f64 y x))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 x (/.f64 z y))) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (/.f64 x (/.f64 y z))) |
(-.f64 x (/.f64 z (/.f64 y x))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 x (/.f64 z y))) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (/.f64 x (/.f64 y z))) |
(-.f64 x (/.f64 z (/.f64 y x))) |
Compiled 6726 to 2215 computations (67.1% saved)
5 alts after pruning (4 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 248 | 4 | 252 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 249 | 5 | 254 |
| Status | Error | Program |
|---|---|---|
| 3.7b | (-.f64 x (pow.f64 (/.f64 y (*.f64 z x)) -1)) | |
| ▶ | 3.6b | (-.f64 x (/.f64 (*.f64 z x) y)) |
| 5.5b | (fma.f64 z (neg.f64 (/.f64 x y)) x) | |
| ✓ | 5.3b | (-.f64 x (/.f64 z (/.f64 y x))) |
| 3.8b | (fma.f64 (neg.f64 (/.f64 z y)) x x) |
Compiled 94 to 58 computations (38.3% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 x (/.f64 (*.f64 z x) y)) |
| ✓ | 4.7b | (/.f64 (*.f64 z x) y) |
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | (-.f64 x (/.f64 (*.f64 z x) y)) |
| 0.0ms | z | @ | 0 | (/.f64 (*.f64 z x) y) |
| 0.0ms | z | @ | -inf | (/.f64 (*.f64 z x) y) |
| 0.0ms | x | @ | -inf | (/.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 log1p.f64 (expm1.f64 (*.f64 (/.f64 z y) x)))))) (#(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 +.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 log1p.f64 (expm1.f64 (-.f64 x (*.f64 (/.f64 z y) x))))))) (#(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)))))))) |
| 1× | egg-herbie |
| 380× | fma-def_binary64 |
| 179× | fma-neg_binary64 |
| 54× | cancel-sign-sub-inv_binary64 |
| 46× | associate-*r*_binary64 |
| 44× | distribute-rgt-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 330 |
| 1 | 35 | 330 |
| 2 | 66 | 330 |
| 3 | 116 | 330 |
| 4 | 224 | 330 |
| 5 | 410 | 330 |
| 6 | 776 | 330 |
| 7 | 1051 | 330 |
| 8 | 1240 | 330 |
| 9 | 1359 | 330 |
| 10 | 1373 | 330 |
| 11 | 1378 | 330 |
| 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 (+.f64 1 (*.f64 -1 (/.f64 z y))) x) |
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x) |
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x) |
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x) |
x |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
x |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
x |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
| Outputs |
|---|
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(-.f64 x (/.f64 z (/.f64 y x))) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(-.f64 x (/.f64 z (/.f64 y x))) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(-.f64 x (/.f64 z (/.f64 y x))) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(-.f64 x (/.f64 z (/.f64 y x))) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(-.f64 x (/.f64 z (/.f64 y x))) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(-.f64 x (/.f64 z (/.f64 y x))) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(-.f64 x (/.f64 z (/.f64 y x))) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(-.f64 x (/.f64 z (/.f64 y x))) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(-.f64 x (/.f64 z (/.f64 y x))) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(-.f64 x (/.f64 z (/.f64 y x))) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(-.f64 x (/.f64 z (/.f64 y x))) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(-.f64 x (/.f64 z (/.f64 y x))) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
x |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(-.f64 x (/.f64 z (/.f64 y x))) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(-.f64 x (/.f64 z (/.f64 y x))) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(-.f64 x (/.f64 z (/.f64 y x))) |
(-.f64 x (*.f64 (/.f64 z 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 z y) (neg.f64 x)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(-.f64 x (/.f64 z (/.f64 y x))) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(-.f64 x (/.f64 z (/.f64 y x))) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(-.f64 x (/.f64 z (/.f64 y x))) |
(-.f64 x (*.f64 (/.f64 z 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 z y) (neg.f64 x)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(-.f64 x (/.f64 z (/.f64 y x))) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(-.f64 x (/.f64 z (/.f64 y x))) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(-.f64 x (/.f64 z (/.f64 y x))) |
(-.f64 x (*.f64 (/.f64 z 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 z y) (neg.f64 x)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(-.f64 x (/.f64 z (/.f64 y x))) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(-.f64 x (/.f64 z (/.f64 y x))) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(-.f64 x (/.f64 z (/.f64 y x))) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
x |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(-.f64 x (/.f64 z (/.f64 y x))) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(-.f64 x (/.f64 z (/.f64 y x))) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(-.f64 x (/.f64 z (/.f64 y x))) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
x |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(-.f64 x (/.f64 z (/.f64 y x))) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(-.f64 x (/.f64 z (/.f64 y x))) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(-.f64 x (/.f64 z (/.f64 y x))) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
Compiled 1174 to 355 computations (69.8% saved)
5 alts after pruning (3 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 87 | 0 | 87 |
| Fresh | 0 | 3 | 3 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 87 | 5 | 92 |
| Status | Error | Program |
|---|---|---|
| ▶ | 3.7b | (-.f64 x (pow.f64 (/.f64 y (*.f64 z x)) -1)) |
| ✓ | 3.6b | (-.f64 x (/.f64 (*.f64 z x) y)) |
| 5.5b | (fma.f64 z (neg.f64 (/.f64 x y)) x) | |
| ✓ | 5.3b | (-.f64 x (/.f64 z (/.f64 y x))) |
| 3.8b | (fma.f64 (neg.f64 (/.f64 z y)) x x) |
Compiled 84 to 52 computations (38.1% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 x (pow.f64 (/.f64 y (*.f64 z x)) -1)) |
| ✓ | 0.7b | (pow.f64 (/.f64 y (*.f64 z x)) -1) |
| ✓ | 4.5b | (/.f64 y (*.f64 z x)) |
27 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | (pow.f64 (/.f64 y (*.f64 z x)) -1) |
| 1.0ms | y | @ | -inf | (/.f64 y (*.f64 z x)) |
| 1.0ms | z | @ | -inf | (pow.f64 (/.f64 y (*.f64 z x)) -1) |
| 1.0ms | y | @ | 0 | (/.f64 y (*.f64 z x)) |
| 1.0ms | y | @ | 0 | (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 |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 y (*.f64 z x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (*.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (*.f64 z x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 y (*.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 1 (*.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 y (*.f64 z x))) (pow.f64 (cbrt.f64 (/.f64 y (*.f64 z x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 y (*.f64 z x))) 2) (cbrt.f64 (/.f64 y (*.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 1 (*.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 y (*.f64 z x))) (sqrt.f64 (/.f64 y (*.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 1 (*.f64 x (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 z x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y z) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 z) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) z) (/.f64 (cbrt.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) z) (/.f64 (sqrt.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) x) (/.f64 (sqrt.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) x) (/.f64 (cbrt.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (*.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (*.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 z x)) 2)) (/.f64 y (cbrt.f64 (*.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (*.f64 z x)) 2)) (cbrt.f64 (/.f64 y (*.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (*.f64 z x)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (*.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 z x))) (/.f64 y (sqrt.f64 (*.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (*.f64 z x))) (/.f64 (cbrt.f64 y) (sqrt.f64 (*.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 z x)) 1)))) (#(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 y (*.f64 z x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 y (*.f64 z x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 y (*.f64 z x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (*.f64 x (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 y (*.f64 z x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 y (*.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 y (*.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 y (*.f64 z x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (*.f64 z x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 y (*.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 y (*.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 z x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 y (*.f64 z 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 (*.f64 z x) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z (/.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 z (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 z (/.f64 y x))) (pow.f64 (cbrt.f64 (/.f64 z (/.f64 y x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 z (/.f64 y x))) 2) (cbrt.f64 (/.f64 z (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 z (/.f64 y x))) (sqrt.f64 (/.f64 z (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y -1) (pow.f64 (/.f64 1 (*.f64 z x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 y (*.f64 z x))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 y (*.f64 z x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 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(log.f64 (/.f64 z (/.f64 y x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 z (/.f64 y x)))))))) |
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| 1× | egg-herbie |
| 380× | fma-def_binary64 |
| 179× | fma-neg_binary64 |
| 55× | cancel-sign-sub-inv_binary64 |
| 47× | associate-*r*_binary64 |
| 44× | distribute-rgt-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 582 |
| 1 | 35 | 582 |
| 2 | 66 | 582 |
| 3 | 116 | 582 |
| 4 | 224 | 582 |
| 5 | 410 | 582 |
| 6 | 777 | 582 |
| 7 | 1053 | 582 |
| 8 | 1243 | 582 |
| 9 | 1362 | 582 |
| 10 | 1376 | 582 |
| 11 | 1381 | 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 (+.f64 1 (*.f64 -1 (/.f64 z y))) x) |
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x) |
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x) |
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
x |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
x |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
x |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
| Outputs |
|---|
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 x (/.f64 y z)) |
(/.f64 z (/.f64 y x)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 x (/.f64 y z)) |
(/.f64 z (/.f64 y x)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 x (/.f64 y z)) |
(/.f64 z (/.f64 y x)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 x (/.f64 y z)) |
(/.f64 z (/.f64 y x)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 x (/.f64 y z)) |
(/.f64 z (/.f64 y x)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 x (/.f64 y z)) |
(/.f64 z (/.f64 y x)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 x (/.f64 y z)) |
(/.f64 z (/.f64 y x)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 x (/.f64 y z)) |
(/.f64 z (/.f64 y x)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 x (/.f64 y z)) |
(/.f64 z (/.f64 y x)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 x (/.f64 y z)) |
(/.f64 z (/.f64 y x)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 x (/.f64 y z)) |
(/.f64 z (/.f64 y x)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 x (/.f64 y z)) |
(/.f64 z (/.f64 y x)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 x (/.f64 y z)) |
(/.f64 z (/.f64 y x)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 x (/.f64 y z)) |
(/.f64 z (/.f64 y x)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 x (/.f64 y z)) |
(/.f64 z (/.f64 y x)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 x (/.f64 y z)) |
(/.f64 z (/.f64 y x)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 x (/.f64 y z)) |
(/.f64 z (/.f64 y x)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 x (/.f64 y z)) |
(/.f64 z (/.f64 y x)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 x (/.f64 y z)) |
(/.f64 z (/.f64 y x)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 x (/.f64 y z)) |
(/.f64 z (/.f64 y x)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 x (/.f64 y z)) |
(/.f64 z (/.f64 y x)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 x (/.f64 y z)) |
(/.f64 z (/.f64 y x)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 x (/.f64 y z)) |
(/.f64 z (/.f64 y x)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 x (/.f64 y z)) |
(/.f64 z (/.f64 y x)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 x (/.f64 y z)) |
(/.f64 z (/.f64 y x)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 x (/.f64 y z)) |
(/.f64 z (/.f64 y x)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 x (/.f64 y z)) |
(/.f64 z (/.f64 y x)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 x (/.f64 y z)) |
(/.f64 z (/.f64 y x)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 x (/.f64 y z)) |
(/.f64 z (/.f64 y x)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 x (/.f64 y z)) |
(/.f64 z (/.f64 y x)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 x (/.f64 y z)) |
(/.f64 z (/.f64 y x)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 x (/.f64 y z)) |
(/.f64 z (/.f64 y x)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 x (/.f64 y z)) |
(/.f64 z (/.f64 y x)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 x (/.f64 y z)) |
(/.f64 z (/.f64 y x)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 x (/.f64 y z)) |
(/.f64 z (/.f64 y x)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 x (/.f64 y z)) |
(/.f64 z (/.f64 y x)) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 x (/.f64 z y))) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (/.f64 x (/.f64 y z))) |
(-.f64 x (/.f64 z (/.f64 y x))) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 x (/.f64 z y))) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (/.f64 x (/.f64 y z))) |
(-.f64 x (/.f64 z (/.f64 y x))) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 x (/.f64 z y))) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (/.f64 x (/.f64 y z))) |
(-.f64 x (/.f64 z (/.f64 y x))) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 x (/.f64 z y))) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (/.f64 x (/.f64 y z))) |
(-.f64 x (/.f64 z (/.f64 y x))) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 x (/.f64 z y))) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (/.f64 x (/.f64 y z))) |
(-.f64 x (/.f64 z (/.f64 y x))) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 x (/.f64 z y))) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (/.f64 x (/.f64 y z))) |
(-.f64 x (/.f64 z (/.f64 y x))) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 x (/.f64 z y))) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (/.f64 x (/.f64 y z))) |
(-.f64 x (/.f64 z (/.f64 y x))) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 x (/.f64 z y))) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (/.f64 x (/.f64 y z))) |
(-.f64 x (/.f64 z (/.f64 y x))) |
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 x (/.f64 z y))) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (/.f64 x (/.f64 y z))) |
(-.f64 x (/.f64 z (/.f64 y x))) |
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 x (/.f64 z y))) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (/.f64 x (/.f64 y z))) |
(-.f64 x (/.f64 z (/.f64 y x))) |
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 x (/.f64 z y))) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (/.f64 x (/.f64 y z))) |
(-.f64 x (/.f64 z (/.f64 y x))) |
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 x (/.f64 z y))) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (/.f64 x (/.f64 y z))) |
(-.f64 x (/.f64 z (/.f64 y x))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 (*.f64 z x) y)) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(/.f64 (*.f64 x (neg.f64 z)) y) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 (/.f64 z y) (neg.f64 x)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 x (/.f64 z y))) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (/.f64 x (/.f64 y z))) |
(-.f64 x (/.f64 z (/.f64 y x))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 x (/.f64 z y))) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (/.f64 x (/.f64 y z))) |
(-.f64 x (/.f64 z (/.f64 y x))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 x (/.f64 z y))) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (/.f64 x (/.f64 y z))) |
(-.f64 x (/.f64 z (/.f64 y x))) |
x |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 x (/.f64 z y))) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (/.f64 x (/.f64 y z))) |
(-.f64 x (/.f64 z (/.f64 y x))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 x (/.f64 z y))) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (/.f64 x (/.f64 y z))) |
(-.f64 x (/.f64 z (/.f64 y x))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 x (/.f64 z y))) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (/.f64 x (/.f64 y z))) |
(-.f64 x (/.f64 z (/.f64 y x))) |
x |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 x (/.f64 z y))) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (/.f64 x (/.f64 y z))) |
(-.f64 x (/.f64 z (/.f64 y x))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 x (/.f64 z y))) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (/.f64 x (/.f64 y z))) |
(-.f64 x (/.f64 z (/.f64 y x))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 x (/.f64 z y))) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (/.f64 x (/.f64 y z))) |
(-.f64 x (/.f64 z (/.f64 y x))) |
x |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 x (/.f64 z y))) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (/.f64 x (/.f64 y z))) |
(-.f64 x (/.f64 z (/.f64 y x))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 x (/.f64 z y))) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (/.f64 x (/.f64 y z))) |
(-.f64 x (/.f64 z (/.f64 y x))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 x (/.f64 z y))) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (/.f64 x (/.f64 y z))) |
(-.f64 x (/.f64 z (/.f64 y x))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 (*.f64 z x) y)) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(/.f64 (*.f64 x (neg.f64 z)) y) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 (/.f64 z y) (neg.f64 x)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 x (/.f64 z y))) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (/.f64 x (/.f64 y z))) |
(-.f64 x (/.f64 z (/.f64 y x))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 x (/.f64 z y))) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (/.f64 x (/.f64 y z))) |
(-.f64 x (/.f64 z (/.f64 y x))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 x (/.f64 z y))) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (/.f64 x (/.f64 y z))) |
(-.f64 x (/.f64 z (/.f64 y x))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 (*.f64 z x) y)) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(/.f64 (*.f64 x (neg.f64 z)) y) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 (/.f64 z y) (neg.f64 x)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 x (/.f64 z y))) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (/.f64 x (/.f64 y z))) |
(-.f64 x (/.f64 z (/.f64 y x))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 x (/.f64 z y))) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (/.f64 x (/.f64 y z))) |
(-.f64 x (/.f64 z (/.f64 y x))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 x (/.f64 z y))) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (/.f64 x (/.f64 y z))) |
(-.f64 x (/.f64 z (/.f64 y x))) |
Compiled 6569 to 2115 computations (67.8% saved)
4 alts after pruning (2 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 266 | 1 | 267 |
| Fresh | 1 | 1 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 1 | 2 |
| Total | 268 | 4 | 272 |
| Status | Error | Program |
|---|---|---|
| ▶ | 3.8b | (fma.f64 (neg.f64 (/.f64 z y)) x x) |
| ✓ | 3.7b | (-.f64 x (pow.f64 (/.f64 y (*.f64 z x)) -1)) |
| ✓ | 5.3b | (-.f64 x (/.f64 z (/.f64 y x))) |
| 3.8b | (-.f64 x (/.f64 x (/.f64 y z))) |
Compiled 62 to 38 computations (38.7% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 3.6b | (fma.f64 (neg.f64 (/.f64 z y)) x x) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (fma.f64 (neg.f64 (/.f64 z y)) x x) |
| 1.0ms | x | @ | 0 | (fma.f64 (neg.f64 (/.f64 z y)) x x) |
| 1.0ms | z | @ | 0 | (fma.f64 (neg.f64 (/.f64 z y)) x x) |
| 1.0ms | y | @ | -inf | (fma.f64 (neg.f64 (/.f64 z y)) x x) |
| 1.0ms | y | @ | 0 | (fma.f64 (neg.f64 (/.f64 z y)) x x) |
| 1× | batch-egg-rewrite |
| 705× | pow1_binary64 |
| 650× | add-log-exp_binary64 |
| 649× | log1p-expm1-u_binary64 |
| 649× | expm1-log1p-u_binary64 |
| 77× | add-sqr-sqrt_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 10 |
| 1 | 148 | 8 |
| 2 | 1981 | 8 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 (neg.f64 (/.f64 z y)) x x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (/.f64 z y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 z y) x) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (/.f64 z y) x) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 z y) x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 (/.f64 z y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (/.f64 z y) x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (/.f64 z y) x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (/.f64 z y) x x)) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 z y) x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 z y) x x)) 2) (cbrt.f64 (fma.f64 (/.f64 z y) x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (/.f64 z y) x x)) (sqrt.f64 (fma.f64 (/.f64 z y) x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 z y) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (/.f64 z y) x) 3) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 (/.f64 z y) x) (*.f64 (/.f64 z y) x)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (/.f64 z y) x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (/.f64 z y) x) (*.f64 (/.f64 z y) x)) (*.f64 x x)) (-.f64 (*.f64 (/.f64 z y) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (/.f64 z y) x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (/.f64 z y) x x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (/.f64 z y) x x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (/.f64 z y) x x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (/.f64 z y) x x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (/.f64 z y) x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (/.f64 z y) x x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (/.f64 z y) x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (/.f64 z y) x x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (/.f64 z y) x x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (/.f64 z y) x x))))))) |
| 1× | egg-herbie |
| 341× | fma-def_binary64 |
| 178× | fma-neg_binary64 |
| 63× | cancel-sign-sub-inv_binary64 |
| 61× | distribute-rgt-in_binary64 |
| 55× | associate-*r*_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 360 |
| 1 | 41 | 330 |
| 2 | 90 | 330 |
| 3 | 168 | 330 |
| 4 | 314 | 330 |
| 5 | 617 | 330 |
| 6 | 1187 | 330 |
| 7 | 1414 | 330 |
| 8 | 1420 | 330 |
| 9 | 1434 | 330 |
| 10 | 1460 | 330 |
| 1× | saturated |
| Inputs |
|---|
x |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
x |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
x |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x) |
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x) |
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x) |
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x) |
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x) |
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x) |
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x) |
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x) |
(*.f64 -1 (*.f64 (-.f64 (/.f64 z y) 1) x)) |
(*.f64 -1 (*.f64 (-.f64 (/.f64 z y) 1) x)) |
(*.f64 -1 (*.f64 (-.f64 (/.f64 z y) 1) x)) |
(*.f64 -1 (*.f64 (-.f64 (/.f64 z y) 1) x)) |
| Outputs |
|---|
x |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(fma.f64 -1 (/.f64 z (/.f64 y x)) x) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 x z) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(fma.f64 -1 (/.f64 z (/.f64 y x)) x) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 x z) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(fma.f64 -1 (/.f64 z (/.f64 y x)) x) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 x z) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 (/.f64 x y) (neg.f64 z)) |
(*.f64 (neg.f64 z) (/.f64 x y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(fma.f64 -1 (/.f64 z (/.f64 y x)) x) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 x z) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(fma.f64 -1 (/.f64 z (/.f64 y x)) x) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 x z) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(fma.f64 -1 (/.f64 z (/.f64 y x)) x) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 x z) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 (/.f64 x y) (neg.f64 z)) |
(*.f64 (neg.f64 z) (/.f64 x y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(fma.f64 -1 (/.f64 z (/.f64 y x)) x) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 x z) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(fma.f64 -1 (/.f64 z (/.f64 y x)) x) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 x z) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(fma.f64 -1 (/.f64 z (/.f64 y x)) x) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 x z) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 (/.f64 x y) (neg.f64 z)) |
(*.f64 (neg.f64 z) (/.f64 x y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(fma.f64 -1 (/.f64 z (/.f64 y x)) x) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 x z) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(fma.f64 -1 (/.f64 z (/.f64 y x)) x) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 x z) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(fma.f64 -1 (/.f64 z (/.f64 y x)) x) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 x z) y)) |
x |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(fma.f64 -1 (/.f64 z (/.f64 y x)) x) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 x z) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(fma.f64 -1 (/.f64 z (/.f64 y x)) x) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 x z) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(fma.f64 -1 (/.f64 z (/.f64 y x)) x) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 x z) y)) |
x |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(fma.f64 -1 (/.f64 z (/.f64 y x)) x) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 x z) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(fma.f64 -1 (/.f64 z (/.f64 y x)) x) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 x z) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(fma.f64 -1 (/.f64 z (/.f64 y x)) x) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 x z) y)) |
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x) |
(fma.f64 -1 (/.f64 z (/.f64 y x)) x) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 x z) y)) |
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x) |
(fma.f64 -1 (/.f64 z (/.f64 y x)) x) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 x z) y)) |
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x) |
(fma.f64 -1 (/.f64 z (/.f64 y x)) x) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 x z) y)) |
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x) |
(fma.f64 -1 (/.f64 z (/.f64 y x)) x) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 x z) y)) |
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x) |
(fma.f64 -1 (/.f64 z (/.f64 y x)) x) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 x z) y)) |
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x) |
(fma.f64 -1 (/.f64 z (/.f64 y x)) x) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 x z) y)) |
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x) |
(fma.f64 -1 (/.f64 z (/.f64 y x)) x) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 x z) y)) |
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x) |
(fma.f64 -1 (/.f64 z (/.f64 y x)) x) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 x z) y)) |
(*.f64 -1 (*.f64 (-.f64 (/.f64 z y) 1) x)) |
(fma.f64 -1 (/.f64 z (/.f64 y x)) x) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 x z) y)) |
(*.f64 -1 (*.f64 (-.f64 (/.f64 z y) 1) x)) |
(fma.f64 -1 (/.f64 z (/.f64 y x)) x) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 x z) y)) |
(*.f64 -1 (*.f64 (-.f64 (/.f64 z y) 1) x)) |
(fma.f64 -1 (/.f64 z (/.f64 y x)) x) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 x z) y)) |
(*.f64 -1 (*.f64 (-.f64 (/.f64 z y) 1) x)) |
(fma.f64 -1 (/.f64 z (/.f64 y x)) x) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 x z) y)) |
Compiled 317 to 97 computations (69.4% saved)
4 alts after pruning (1 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 31 | 0 | 31 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 31 | 4 | 35 |
| Status | Error | Program |
|---|---|---|
| ✓ | 3.8b | (fma.f64 (neg.f64 (/.f64 z y)) x x) |
| ✓ | 3.7b | (-.f64 x (pow.f64 (/.f64 y (*.f64 z x)) -1)) |
| ✓ | 5.3b | (-.f64 x (/.f64 z (/.f64 y x))) |
| 3.8b | (-.f64 x (/.f64 x (/.f64 y z))) |
Compiled 42 to 26 computations (38.1% saved)
Total -21.3b remaining (-7280.3%)
Threshold costs -21.3b (-7280.3%)
| Inputs |
|---|
(-.f64 x (/.f64 x (/.f64 y z))) |
(-.f64 x (pow.f64 (/.f64 y (*.f64 z x)) -1)) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(fma.f64 z (neg.f64 (/.f64 x y)) x) |
(fma.f64 (neg.f64 (/.f64 z y)) x x) |
(-.f64 x (/.f64 z (/.f64 y x))) |
(/.f64 (*.f64 x (-.f64 y z)) y) |
| Outputs |
|---|
(fma.f64 (neg.f64 (/.f64 z y)) x x) |
(fma.f64 z (neg.f64 (/.f64 x y)) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(-.f64 x (/.f64 z (/.f64 y x))) |
(fma.f64 (neg.f64 (/.f64 z y)) x x) |
| Time | Error | Segments | Branch |
| 26.0ms | 0.3b | 5 | x |
| 8.0ms | 3.6b | 1 | y |
| 14.0ms | 1.0b | 3 | z |
| 18.0ms | 0.6b | 4 | (/.f64 (*.f64 x (-.f64 y z)) y) |
Compiled 76 to 40 computations (47.4% saved)
| 4× | binary-search |
| Time | Point | Range | ||||
|---|---|---|---|---|---|---|
| 22.0ms | 1.9913091815903685e-11 | ∈ [ | 1.9913091815903685e-11 | , | 4.600694079994366e-8 | ] |
| 17.0ms | 4.142754075651002e-166 | ∈ [ | 4.142754075651002e-166 | , | 1.0744240150466763e-164 | ] |
| 22.0ms | 8.829242912010182e-304 | ∈ [ | 8.829242912010182e-304 | , | 1.5280586689954532e-302 | ] |
| 8.0ms | -1e+92 | ∈ [ | -3.0362824647282483e+94 | , | -1.7471130336907304e+89 | ] |
Compiled 38 to 25 computations (34.2% saved)
| 1× | egg-herbie |
| 9× | +-commutative_binary64 |
| 9× | sub-neg_binary64 |
| 8× | *-commutative_binary64 |
| 7× | neg-sub0_binary64 |
| 7× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 74 |
| 1 | 44 | 74 |
| 2 | 61 | 74 |
| 3 | 77 | 74 |
| 4 | 83 | 74 |
| 5 | 84 | 74 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 x -100000000000000004337729697461918607329029332495193931179177378933611681288968111094132375552) (fma.f64 (neg.f64 (/.f64 z y)) x x) (if (<=.f64 x 681708778529534/772103322247736428651791941524190166662432288223808740069966728315087660095197093551484618001698015194652854401843307157096133183997320086925557708514169730840749451738610692460887556999562135090788908685580234789131193097780962748024381086918485856402626253175196722230275782071039209488625822100242638638716536487936) (fma.f64 z (neg.f64 (/.f64 x y)) x) (if (<=.f64 x 440074816894950912/1062275985633534197379176413104937254659186235454063846398888276400807119721704485478325004530458571337778658972493002030693158675305414478819039957533174703887662541670786438063456256) (-.f64 x (/.f64 (*.f64 z x) y)) (if (<=.f64 x 1577677674551884288/79228162514264337593543950336) (-.f64 x (/.f64 z (/.f64 y x))) (fma.f64 (neg.f64 (/.f64 z y)) x x))))) |
| Outputs |
|---|
(if (<=.f64 x -100000000000000004337729697461918607329029332495193931179177378933611681288968111094132375552) (fma.f64 (neg.f64 (/.f64 z y)) x x) (if (<=.f64 x 681708778529534/772103322247736428651791941524190166662432288223808740069966728315087660095197093551484618001698015194652854401843307157096133183997320086925557708514169730840749451738610692460887556999562135090788908685580234789131193097780962748024381086918485856402626253175196722230275782071039209488625822100242638638716536487936) (fma.f64 z (neg.f64 (/.f64 x y)) x) (if (<=.f64 x 440074816894950912/1062275985633534197379176413104937254659186235454063846398888276400807119721704485478325004530458571337778658972493002030693158675305414478819039957533174703887662541670786438063456256) (-.f64 x (/.f64 (*.f64 z x) y)) (if (<=.f64 x 1577677674551884288/79228162514264337593543950336) (-.f64 x (/.f64 z (/.f64 y x))) (fma.f64 (neg.f64 (/.f64 z y)) x x))))) |
(if (<=.f64 x -100000000000000004337729697461918607329029332495193931179177378933611681288968111094132375552) (fma.f64 (/.f64 (neg.f64 z) y) x x) (if (<=.f64 x 340854389264767/386051661123868214325895970762095083331216144111904370034983364157543830047598546775742309000849007597326427200921653578548066591998660043462778854257084865420374725869305346230443778499781067545394454342790117394565596548890481374012190543459242928201313126587598361115137891035519604744312911050121319319358268243968) (fma.f64 z (/.f64 (neg.f64 x) y) x) (if (<=.f64 x 859521126747951/2074757784440496479256203931845580575506223116121218449997828664845326405706454073199853524473551897144098943305650394591197575537705887653943437417056981843530590901700754761842688) (-.f64 x (/.f64 (*.f64 x z) y)) (if (<=.f64 x 3081401708109149/154742504910672534362390528) (-.f64 x (/.f64 z (/.f64 y x))) (fma.f64 (/.f64 (neg.f64 z) y) x x))))) |
| 1× | fuel |
Compiled 108 to 54 computations (50% saved)
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