Time bar (total: 3.0s)
| 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 |
| 12.5% | 87.4% | 0.1% | 7 |
| 18.7% | 81.1% | 0.1% | 8 |
| 28.1% | 71.8% | 0.1% | 9 |
| 42.1% | 57.7% | 0.1% | 10 |
| 46.8% | 50.3% | 2.9% | 11 |
| 53.8% | 41.9% | 4.2% | 12 |
Compiled 13 to 10 computations (23.1% saved)
| 1.2s | 8256× | body | 256 | valid |
| 104.0ms | 835× | body | 256 | invalid |
| 2× | egg-herbie |
| 774× | fma-def_binary64 |
| 513× | fma-neg_binary64 |
| 147× | associate-/l*_binary64 |
| 135× | cancel-sign-sub-inv_binary64 |
| 96× | distribute-rgt-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 52 |
| 1 | 37 | 52 |
| 2 | 63 | 52 |
| 3 | 100 | 52 |
| 4 | 182 | 44 |
| 5 | 313 | 44 |
| 6 | 670 | 44 |
| 7 | 1282 | 44 |
| 8 | 2152 | 44 |
| 9 | 2825 | 44 |
| 10 | 2918 | 44 |
| 11 | 2924 | 44 |
| 12 | 2924 | 44 |
| 0 | 3 | 3 |
| 1 | 3 | 3 |
| 1× | unsound |
| 1× | saturated |
| Inputs |
|---|
0 |
1 |
2 |
| Outputs |
|---|
0 |
1 |
0 |
2 |
| Inputs |
|---|
(-.f64 (/.f64 (*.f64 x y) 2) (/.f64 z 8)) |
(-.f64 (/.f64 (*.f64 y x) 2) (/.f64 z 8)) |
(-.f64 (/.f64 (*.f64 z y) 2) (/.f64 x 8)) |
(-.f64 (/.f64 (*.f64 x z) 2) (/.f64 y 8)) |
| Outputs |
|---|
(-.f64 (/.f64 (*.f64 x y) 2) (/.f64 z 8)) |
(-.f64 (/.f64 y (/.f64 2 x)) (/.f64 z 8)) |
(-.f64 (*.f64 (/.f64 x 2) y) (/.f64 z 8)) |
(-.f64 (*.f64 x (/.f64 y 2)) (/.f64 z 8)) |
(-.f64 (*.f64 y (/.f64 x 2)) (/.f64 z 8)) |
(fma.f64 x (/.f64 y 2) (*.f64 -1/8 z)) |
(fma.f64 x (/.f64 y 2) (*.f64 z -1/8)) |
(fma.f64 x (*.f64 1/2 y) (*.f64 z -1/8)) |
(fma.f64 x (*.f64 y 1/2) (*.f64 z -1/8)) |
(-.f64 (/.f64 (*.f64 y x) 2) (/.f64 z 8)) |
(-.f64 (/.f64 y (/.f64 2 x)) (/.f64 z 8)) |
(-.f64 (*.f64 (/.f64 x 2) y) (/.f64 z 8)) |
(-.f64 (*.f64 x (/.f64 y 2)) (/.f64 z 8)) |
(-.f64 (*.f64 y (/.f64 x 2)) (/.f64 z 8)) |
(fma.f64 x (/.f64 y 2) (*.f64 -1/8 z)) |
(fma.f64 x (/.f64 y 2) (*.f64 z -1/8)) |
(fma.f64 x (*.f64 1/2 y) (*.f64 z -1/8)) |
(fma.f64 x (*.f64 y 1/2) (*.f64 z -1/8)) |
(-.f64 (/.f64 (*.f64 z y) 2) (/.f64 x 8)) |
(-.f64 (/.f64 z (/.f64 2 y)) (/.f64 x 8)) |
(-.f64 (*.f64 (/.f64 y 2) z) (/.f64 x 8)) |
(-.f64 (*.f64 z (/.f64 y 2)) (/.f64 x 8)) |
(fma.f64 y (/.f64 z 2) (/.f64 x -8)) |
(fma.f64 y (/.f64 z 2) (*.f64 x -1/8)) |
(fma.f64 x -1/8 (*.f64 y (/.f64 z 2))) |
(fma.f64 x -1/8 (*.f64 y (*.f64 1/2 z))) |
(fma.f64 x -1/8 (*.f64 y (*.f64 z 1/2))) |
(-.f64 (/.f64 (*.f64 x z) 2) (/.f64 y 8)) |
(-.f64 (/.f64 x (/.f64 2 z)) (/.f64 y 8)) |
(-.f64 (*.f64 (/.f64 x 2) z) (/.f64 y 8)) |
(fma.f64 (/.f64 x 2) z (/.f64 (neg.f64 y) 8)) |
(-.f64 (*.f64 x (/.f64 z 2)) (/.f64 y 8)) |
(fma.f64 z (/.f64 x 2) (*.f64 -1/8 y)) |
(fma.f64 x (/.f64 z 2) (*.f64 y -1/8)) |
(fma.f64 x (*.f64 1/2 z) (*.f64 y -1/8)) |
(fma.f64 x (*.f64 z 1/2) (*.f64 y -1/8)) |
(sort x y)
Compiled 15 to 12 computations (20% saved)
| 1× | egg-herbie |
| 209× | fma-def_binary64 |
| 157× | fma-neg_binary64 |
| 57× | cancel-sign-sub-inv_binary64 |
| 42× | distribute-rgt-neg-in_binary64 |
| 38× | associate-/l*_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 13 |
| 1 | 15 | 13 |
| 2 | 26 | 13 |
| 3 | 39 | 13 |
| 4 | 69 | 11 |
| 5 | 122 | 11 |
| 6 | 237 | 11 |
| 7 | 427 | 11 |
| 8 | 678 | 11 |
| 9 | 968 | 11 |
| 10 | 1083 | 11 |
| 11 | 1113 | 11 |
| 12 | 1116 | 11 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (/.f64 (*.f64 x y) 2) (/.f64 z 8)) |
| Outputs |
|---|
(-.f64 (/.f64 (*.f64 x y) 2) (/.f64 z 8)) |
(-.f64 (/.f64 x (/.f64 2 y)) (/.f64 z 8)) |
(-.f64 (*.f64 (/.f64 x 2) y) (/.f64 z 8)) |
(-.f64 (*.f64 y (/.f64 x 2)) (/.f64 z 8)) |
(fma.f64 y (/.f64 x 2) (/.f64 (neg.f64 z) 8)) |
(fma.f64 y (/.f64 x 2) (*.f64 -1/8 z)) |
(fma.f64 y (/.f64 x 2) (*.f64 z -1/8)) |
(fma.f64 x (/.f64 y 2) (*.f64 z -1/8)) |
(fma.f64 x (*.f64 1/2 y) (*.f64 z -1/8)) |
(fma.f64 x (*.f64 y 1/2) (*.f64 z -1/8)) |
Compiled 20 to 14 computations (30% 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 |
|---|---|---|
| ▶ | 0.0b | (-.f64 (/.f64 (*.f64 x y) 2) (/.f64 z 8)) |
| ▶ | 0b | (fma.f64 x (*.f64 y 1/2) (*.f64 z -1/8)) |
Compiled 23 to 17 computations (26.1% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (*.f64 x y) 2) |
| ✓ | 0.0b | (-.f64 (/.f64 (*.f64 x y) 2) (/.f64 z 8)) |
Compiled 28 to 15 computations (46.4% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | 0 | (-.f64 (/.f64 (*.f64 x y) 2) (/.f64 z 8)) |
| 2.0ms | y | @ | 0 | (/.f64 (*.f64 x y) 2) |
| 1.0ms | y | @ | 0 | (-.f64 (/.f64 (*.f64 x y) 2) (/.f64 z 8)) |
| 1.0ms | x | @ | inf | (-.f64 (/.f64 (*.f64 x y) 2) (/.f64 z 8)) |
| 1.0ms | z | @ | 0 | (-.f64 (/.f64 (*.f64 x y) 2) (/.f64 z 8)) |
| 1× | batch-egg-rewrite |
| 834× | prod-diff_binary64 |
| 533× | log-prod_binary64 |
| 293× | pow2_binary64 |
| 279× | fma-def_binary64 |
| 206× | expm1-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 20 |
| 1 | 231 | 18 |
| 2 | 3220 | 18 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (/.f64 (*.f64 x y) 2) (/.f64 z 8)) |
(/.f64 (*.f64 x y) 2) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 8× | fma-def_binary64 |
| 6× | *-commutative_binary64 |
| 3× | associate-*r*_binary64 |
| 3× | associate-*l*_binary64 |
| 1× | +-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 516 |
| 1 | 18 | 516 |
| 2 | 28 | 516 |
| 3 | 34 | 516 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 -1/8 z) |
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 -1/8 z)) |
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 -1/8 z)) |
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 -1/8 z)) |
(*.f64 1/2 (*.f64 y x)) |
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x))) |
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x))) |
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x))) |
(*.f64 1/2 (*.f64 y x)) |
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x))) |
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x))) |
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x))) |
(*.f64 -1/8 z) |
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 -1/8 z)) |
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 -1/8 z)) |
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 -1/8 z)) |
(*.f64 1/2 (*.f64 y x)) |
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x))) |
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x))) |
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x))) |
(*.f64 1/2 (*.f64 y x)) |
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x))) |
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x))) |
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x))) |
(*.f64 1/2 (*.f64 y x)) |
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x))) |
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x))) |
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x))) |
(*.f64 -1/8 z) |
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 -1/8 z)) |
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 -1/8 z)) |
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 -1/8 z)) |
(*.f64 -1/8 z) |
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 -1/8 z)) |
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 -1/8 z)) |
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 -1/8 z)) |
(*.f64 1/2 (*.f64 y x)) |
(*.f64 1/2 (*.f64 y x)) |
(*.f64 1/2 (*.f64 y x)) |
(*.f64 1/2 (*.f64 y x)) |
(*.f64 1/2 (*.f64 y x)) |
(*.f64 1/2 (*.f64 y x)) |
(*.f64 1/2 (*.f64 y x)) |
(*.f64 1/2 (*.f64 y x)) |
(*.f64 1/2 (*.f64 y x)) |
(*.f64 1/2 (*.f64 y x)) |
(*.f64 1/2 (*.f64 y x)) |
(*.f64 1/2 (*.f64 y x)) |
(*.f64 1/2 (*.f64 y x)) |
(*.f64 1/2 (*.f64 y x)) |
(*.f64 1/2 (*.f64 y x)) |
(*.f64 1/2 (*.f64 y x)) |
(*.f64 1/2 (*.f64 y x)) |
(*.f64 1/2 (*.f64 y x)) |
(*.f64 1/2 (*.f64 y x)) |
(*.f64 1/2 (*.f64 y x)) |
(*.f64 1/2 (*.f64 y x)) |
(*.f64 1/2 (*.f64 y x)) |
(*.f64 1/2 (*.f64 y x)) |
(*.f64 1/2 (*.f64 y x)) |
| Outputs |
|---|
(*.f64 -1/8 z) |
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 -1/8 z)) |
(fma.f64 -1/8 z (*.f64 1/2 (*.f64 y x))) |
(fma.f64 1/2 (*.f64 y x) (*.f64 -1/8 z)) |
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 -1/8 z)) |
(fma.f64 -1/8 z (*.f64 1/2 (*.f64 y x))) |
(fma.f64 1/2 (*.f64 y x) (*.f64 -1/8 z)) |
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 -1/8 z)) |
(fma.f64 -1/8 z (*.f64 1/2 (*.f64 y x))) |
(fma.f64 1/2 (*.f64 y x) (*.f64 -1/8 z)) |
(*.f64 1/2 (*.f64 y x)) |
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x))) |
(fma.f64 -1/8 z (*.f64 1/2 (*.f64 y x))) |
(fma.f64 1/2 (*.f64 y x) (*.f64 -1/8 z)) |
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x))) |
(fma.f64 -1/8 z (*.f64 1/2 (*.f64 y x))) |
(fma.f64 1/2 (*.f64 y x) (*.f64 -1/8 z)) |
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x))) |
(fma.f64 -1/8 z (*.f64 1/2 (*.f64 y x))) |
(fma.f64 1/2 (*.f64 y x) (*.f64 -1/8 z)) |
(*.f64 1/2 (*.f64 y x)) |
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x))) |
(fma.f64 -1/8 z (*.f64 1/2 (*.f64 y x))) |
(fma.f64 1/2 (*.f64 y x) (*.f64 -1/8 z)) |
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x))) |
(fma.f64 -1/8 z (*.f64 1/2 (*.f64 y x))) |
(fma.f64 1/2 (*.f64 y x) (*.f64 -1/8 z)) |
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x))) |
(fma.f64 -1/8 z (*.f64 1/2 (*.f64 y x))) |
(fma.f64 1/2 (*.f64 y x) (*.f64 -1/8 z)) |
(*.f64 -1/8 z) |
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 -1/8 z)) |
(fma.f64 -1/8 z (*.f64 1/2 (*.f64 y x))) |
(fma.f64 1/2 (*.f64 y x) (*.f64 -1/8 z)) |
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 -1/8 z)) |
(fma.f64 -1/8 z (*.f64 1/2 (*.f64 y x))) |
(fma.f64 1/2 (*.f64 y x) (*.f64 -1/8 z)) |
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 -1/8 z)) |
(fma.f64 -1/8 z (*.f64 1/2 (*.f64 y x))) |
(fma.f64 1/2 (*.f64 y x) (*.f64 -1/8 z)) |
(*.f64 1/2 (*.f64 y x)) |
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x))) |
(fma.f64 -1/8 z (*.f64 1/2 (*.f64 y x))) |
(fma.f64 1/2 (*.f64 y x) (*.f64 -1/8 z)) |
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x))) |
(fma.f64 -1/8 z (*.f64 1/2 (*.f64 y x))) |
(fma.f64 1/2 (*.f64 y x) (*.f64 -1/8 z)) |
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x))) |
(fma.f64 -1/8 z (*.f64 1/2 (*.f64 y x))) |
(fma.f64 1/2 (*.f64 y x) (*.f64 -1/8 z)) |
(*.f64 1/2 (*.f64 y x)) |
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x))) |
(fma.f64 -1/8 z (*.f64 1/2 (*.f64 y x))) |
(fma.f64 1/2 (*.f64 y x) (*.f64 -1/8 z)) |
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x))) |
(fma.f64 -1/8 z (*.f64 1/2 (*.f64 y x))) |
(fma.f64 1/2 (*.f64 y x) (*.f64 -1/8 z)) |
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x))) |
(fma.f64 -1/8 z (*.f64 1/2 (*.f64 y x))) |
(fma.f64 1/2 (*.f64 y x) (*.f64 -1/8 z)) |
(*.f64 1/2 (*.f64 y x)) |
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x))) |
(fma.f64 -1/8 z (*.f64 1/2 (*.f64 y x))) |
(fma.f64 1/2 (*.f64 y x) (*.f64 -1/8 z)) |
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x))) |
(fma.f64 -1/8 z (*.f64 1/2 (*.f64 y x))) |
(fma.f64 1/2 (*.f64 y x) (*.f64 -1/8 z)) |
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x))) |
(fma.f64 -1/8 z (*.f64 1/2 (*.f64 y x))) |
(fma.f64 1/2 (*.f64 y x) (*.f64 -1/8 z)) |
(*.f64 -1/8 z) |
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 -1/8 z)) |
(fma.f64 -1/8 z (*.f64 1/2 (*.f64 y x))) |
(fma.f64 1/2 (*.f64 y x) (*.f64 -1/8 z)) |
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 -1/8 z)) |
(fma.f64 -1/8 z (*.f64 1/2 (*.f64 y x))) |
(fma.f64 1/2 (*.f64 y x) (*.f64 -1/8 z)) |
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 -1/8 z)) |
(fma.f64 -1/8 z (*.f64 1/2 (*.f64 y x))) |
(fma.f64 1/2 (*.f64 y x) (*.f64 -1/8 z)) |
(*.f64 -1/8 z) |
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 -1/8 z)) |
(fma.f64 -1/8 z (*.f64 1/2 (*.f64 y x))) |
(fma.f64 1/2 (*.f64 y x) (*.f64 -1/8 z)) |
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 -1/8 z)) |
(fma.f64 -1/8 z (*.f64 1/2 (*.f64 y x))) |
(fma.f64 1/2 (*.f64 y x) (*.f64 -1/8 z)) |
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 -1/8 z)) |
(fma.f64 -1/8 z (*.f64 1/2 (*.f64 y x))) |
(fma.f64 1/2 (*.f64 y x) (*.f64 -1/8 z)) |
(*.f64 1/2 (*.f64 y x)) |
(*.f64 1/2 (*.f64 y x)) |
(*.f64 1/2 (*.f64 y x)) |
(*.f64 1/2 (*.f64 y x)) |
(*.f64 1/2 (*.f64 y x)) |
(*.f64 1/2 (*.f64 y x)) |
(*.f64 1/2 (*.f64 y x)) |
(*.f64 1/2 (*.f64 y x)) |
(*.f64 1/2 (*.f64 y x)) |
(*.f64 1/2 (*.f64 y x)) |
(*.f64 1/2 (*.f64 y x)) |
(*.f64 1/2 (*.f64 y x)) |
(*.f64 1/2 (*.f64 y x)) |
(*.f64 1/2 (*.f64 y x)) |
(*.f64 1/2 (*.f64 y x)) |
(*.f64 1/2 (*.f64 y x)) |
(*.f64 1/2 (*.f64 y x)) |
(*.f64 1/2 (*.f64 y x)) |
(*.f64 1/2 (*.f64 y x)) |
(*.f64 1/2 (*.f64 y x)) |
(*.f64 1/2 (*.f64 y x)) |
(*.f64 1/2 (*.f64 y x)) |
(*.f64 1/2 (*.f64 y x)) |
(*.f64 1/2 (*.f64 y x)) |
Compiled 22 to 14 computations (36.4% saved)
Compiled 4423 to 2764 computations (37.5% saved)
4 alts after pruning (3 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 220 | 3 | 223 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 221 | 4 | 225 |
| Status | Error | Program |
|---|---|---|
| ▶ | 27.0b | (*.f64 -1/8 z) |
| ▶ | 12.4b | (/.f64 (-.f64 (*.f64 x 8) (*.f64 (/.f64 2 y) z)) (*.f64 (/.f64 2 y) 8)) |
| ✓ | 0.0b | (-.f64 (/.f64 (*.f64 x y) 2) (/.f64 z 8)) |
| ▶ | 35.8b | (*.f64 1/2 (*.f64 y x)) |
Compiled 44 to 34 computations (22.7% saved)
Compiled 8 to 6 computations (25% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 1/2 (*.f64 y x)) |
Compiled 14 to 7 computations (50% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (*.f64 1/2 (*.f64 y x)) |
| 1.0ms | y | @ | inf | (*.f64 1/2 (*.f64 y x)) |
| 1.0ms | y | @ | -inf | (*.f64 1/2 (*.f64 y x)) |
| 0.0ms | x | @ | -inf | (*.f64 1/2 (*.f64 y x)) |
| 0.0ms | x | @ | 0 | (*.f64 1/2 (*.f64 y x)) |
| 1× | batch-egg-rewrite |
| 555× | pow1_binary64 |
| 511× | add-log-exp_binary64 |
| 511× | log1p-expm1-u_binary64 |
| 511× | expm1-log1p-u_binary64 |
| 501× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 121 | 7 |
| 2 | 1393 | 7 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 (*.f64 y x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/2 (*.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/2 (*.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/2 (*.f64 y x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/2 (*.f64 y x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/2 (*.f64 y x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (*.f64 y x) 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/2) (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/2 (*.f64 y x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/2 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/2 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/2 (*.f64 y x)))))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 0 | 0 |
| 1× | saturated |
| Inputs |
|---|
| Outputs |
|---|
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 (/.f64 2 y) z) |
| ✓ | 11.6b | (/.f64 (-.f64 (*.f64 x 8) (*.f64 (/.f64 2 y) z)) (*.f64 (/.f64 2 y) 8)) |
Compiled 48 to 33 computations (31.3% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 16.0ms | y | @ | inf | (/.f64 (-.f64 (*.f64 x 8) (*.f64 (/.f64 2 y) z)) (*.f64 (/.f64 2 y) 8)) |
| 2.0ms | x | @ | 0 | (/.f64 (-.f64 (*.f64 x 8) (*.f64 (/.f64 2 y) z)) (*.f64 (/.f64 2 y) 8)) |
| 2.0ms | y | @ | 0 | (/.f64 (-.f64 (*.f64 x 8) (*.f64 (/.f64 2 y) z)) (*.f64 (/.f64 2 y) 8)) |
| 1.0ms | z | @ | 0 | (/.f64 (-.f64 (*.f64 x 8) (*.f64 (/.f64 2 y) z)) (*.f64 (/.f64 2 y) 8)) |
| 1.0ms | x | @ | inf | (/.f64 (-.f64 (*.f64 x 8) (*.f64 (/.f64 2 y) z)) (*.f64 (/.f64 2 y) 8)) |
| 1× | batch-egg-rewrite |
| 793× | log-prod_binary64 |
| 433× | fma-def_binary64 |
| 251× | expm1-udef_binary64 |
| 251× | log1p-udef_binary64 |
| 236× | fma-neg_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 26 |
| 1 | 281 | 24 |
| 2 | 4132 | 24 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 (*.f64 x 8) (*.f64 (/.f64 2 y) z)) (*.f64 (/.f64 2 y) 8)) |
(*.f64 (/.f64 2 y) z) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 8 (/.f64 x (/.f64 16 y))) (neg.f64 (*.f64 (*.f64 2 (/.f64 z y)) (*.f64 1/16 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (fma.f64 x 8 (*.f64 z (/.f64 -2 y))) (*.f64 1/16 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x 8 (*.f64 z (/.f64 -2 y)))) (*.f64 1/16 y))) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x 8 (*.f64 z (/.f64 -2 y)))) (*.f64 1/16 y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x 8 (*.f64 z (/.f64 -2 y)))) (*.f64 1/16 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x 8 (*.f64 z (/.f64 -2 y)))) (*.f64 1/16 y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x 8 (*.f64 z (/.f64 -2 y)))) (*.f64 1/16 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 8 (/.f64 x (/.f64 16 y))) (*.f64 (*.f64 2 (/.f64 z y)) (*.f64 1/16 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 x 8 (*.f64 z (/.f64 -2 y))) (*.f64 1/16 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 8 (*.f64 z (/.f64 -2 y))) (*.f64 1/16 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 x 8 (*.f64 z (/.f64 -2 y))) (*.f64 1/16 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (fma.f64 x 8 (*.f64 z (/.f64 -2 y))) (*.f64 1/16 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (fma.f64 x 8 (*.f64 z (/.f64 -2 y))) (*.f64 1/16 y))) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x 8 (*.f64 z (/.f64 -2 y))) (*.f64 1/16 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x 8 (*.f64 z (/.f64 -2 y))) (*.f64 1/16 y))) 2) (cbrt.f64 (*.f64 (fma.f64 x 8 (*.f64 z (/.f64 -2 y))) (*.f64 1/16 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 8 (*.f64 z (/.f64 -2 y)))) 2) (*.f64 (cbrt.f64 (fma.f64 x 8 (*.f64 z (/.f64 -2 y)))) (*.f64 1/16 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (fma.f64 x 8 (*.f64 z (/.f64 -2 y))) (*.f64 1/16 y))) (sqrt.f64 (*.f64 (fma.f64 x 8 (*.f64 z (/.f64 -2 y))) (*.f64 1/16 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 8 (*.f64 z (/.f64 -2 y)))) (*.f64 (sqrt.f64 (fma.f64 x 8 (*.f64 z (/.f64 -2 y)))) (*.f64 1/16 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 x 8 (*.f64 z (/.f64 -2 y)))) (/.f64 1 (/.f64 -16 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 1/2) (/.f64 (fma.f64 x 8 (*.f64 z (/.f64 -2 y))) 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/16 y) (fma.f64 x 8 (*.f64 z (/.f64 -2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 x 8 (*.f64 z (/.f64 -2 y))) (*.f64 y 1/2)) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 8 (*.f64 z (/.f64 -2 y)))) 2) 1) (/.f64 (cbrt.f64 (fma.f64 x 8 (*.f64 z (/.f64 -2 y)))) (/.f64 16 y)))))) 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| 1× | egg-herbie |
| 9× | *-commutative_binary64 |
| 8× | fma-def_binary64 |
| 3× | associate-*r*_binary64 |
| 3× | associate-*l*_binary64 |
| 2× | associate-/l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 516 |
| 1 | 24 | 516 |
| 2 | 38 | 516 |
| 3 | 48 | 516 |
| 4 | 49 | 516 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 -1/8 z) |
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 -1/8 z)) |
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 -1/8 z)) |
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 -1/8 z)) |
(*.f64 1/2 (*.f64 y x)) |
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x))) |
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x))) |
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x))) |
(*.f64 1/2 (*.f64 y x)) |
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x))) |
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x))) |
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x))) |
(*.f64 -1/8 z) |
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 -1/8 z)) |
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 -1/8 z)) |
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 -1/8 z)) |
(*.f64 1/2 (*.f64 y x)) |
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x))) |
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x))) |
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x))) |
(*.f64 1/2 (*.f64 y x)) |
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x))) |
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x))) |
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x))) |
(*.f64 1/2 (*.f64 y x)) |
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x))) |
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x))) |
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x))) |
(*.f64 -1/8 z) |
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 -1/8 z)) |
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 -1/8 z)) |
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 -1/8 z)) |
(*.f64 -1/8 z) |
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 -1/8 z)) |
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 -1/8 z)) |
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 -1/8 z)) |
(*.f64 2 (/.f64 z y)) |
(*.f64 2 (/.f64 z y)) |
(*.f64 2 (/.f64 z y)) |
(*.f64 2 (/.f64 z y)) |
(*.f64 2 (/.f64 z y)) |
(*.f64 2 (/.f64 z y)) |
(*.f64 2 (/.f64 z y)) |
(*.f64 2 (/.f64 z y)) |
(*.f64 2 (/.f64 z y)) |
(*.f64 2 (/.f64 z y)) |
(*.f64 2 (/.f64 z y)) |
(*.f64 2 (/.f64 z y)) |
(*.f64 2 (/.f64 z y)) |
(*.f64 2 (/.f64 z y)) |
(*.f64 2 (/.f64 z y)) |
(*.f64 2 (/.f64 z y)) |
(*.f64 2 (/.f64 z y)) |
(*.f64 2 (/.f64 z y)) |
(*.f64 2 (/.f64 z y)) |
(*.f64 2 (/.f64 z y)) |
(*.f64 2 (/.f64 z y)) |
(*.f64 2 (/.f64 z y)) |
(*.f64 2 (/.f64 z y)) |
(*.f64 2 (/.f64 z y)) |
| Outputs |
|---|
(*.f64 -1/8 z) |
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 -1/8 z)) |
(fma.f64 -1/8 z (*.f64 (*.f64 1/2 y) x)) |
(fma.f64 -1/8 z (*.f64 x (*.f64 1/2 y))) |
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 -1/8 z)) |
(fma.f64 -1/8 z (*.f64 (*.f64 1/2 y) x)) |
(fma.f64 -1/8 z (*.f64 x (*.f64 1/2 y))) |
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 -1/8 z)) |
(fma.f64 -1/8 z (*.f64 (*.f64 1/2 y) x)) |
(fma.f64 -1/8 z (*.f64 x (*.f64 1/2 y))) |
(*.f64 1/2 (*.f64 y x)) |
(*.f64 (*.f64 1/2 y) x) |
(*.f64 x (*.f64 1/2 y)) |
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x))) |
(fma.f64 -1/8 z (*.f64 (*.f64 1/2 y) x)) |
(fma.f64 -1/8 z (*.f64 x (*.f64 1/2 y))) |
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x))) |
(fma.f64 -1/8 z (*.f64 (*.f64 1/2 y) x)) |
(fma.f64 -1/8 z (*.f64 x (*.f64 1/2 y))) |
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x))) |
(fma.f64 -1/8 z (*.f64 (*.f64 1/2 y) x)) |
(fma.f64 -1/8 z (*.f64 x (*.f64 1/2 y))) |
(*.f64 1/2 (*.f64 y x)) |
(*.f64 (*.f64 1/2 y) x) |
(*.f64 x (*.f64 1/2 y)) |
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x))) |
(fma.f64 -1/8 z (*.f64 (*.f64 1/2 y) x)) |
(fma.f64 -1/8 z (*.f64 x (*.f64 1/2 y))) |
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x))) |
(fma.f64 -1/8 z (*.f64 (*.f64 1/2 y) x)) |
(fma.f64 -1/8 z (*.f64 x (*.f64 1/2 y))) |
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x))) |
(fma.f64 -1/8 z (*.f64 (*.f64 1/2 y) x)) |
(fma.f64 -1/8 z (*.f64 x (*.f64 1/2 y))) |
(*.f64 -1/8 z) |
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 -1/8 z)) |
(fma.f64 -1/8 z (*.f64 (*.f64 1/2 y) x)) |
(fma.f64 -1/8 z (*.f64 x (*.f64 1/2 y))) |
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 -1/8 z)) |
(fma.f64 -1/8 z (*.f64 (*.f64 1/2 y) x)) |
(fma.f64 -1/8 z (*.f64 x (*.f64 1/2 y))) |
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 -1/8 z)) |
(fma.f64 -1/8 z (*.f64 (*.f64 1/2 y) x)) |
(fma.f64 -1/8 z (*.f64 x (*.f64 1/2 y))) |
(*.f64 1/2 (*.f64 y x)) |
(*.f64 (*.f64 1/2 y) x) |
(*.f64 x (*.f64 1/2 y)) |
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x))) |
(fma.f64 -1/8 z (*.f64 (*.f64 1/2 y) x)) |
(fma.f64 -1/8 z (*.f64 x (*.f64 1/2 y))) |
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x))) |
(fma.f64 -1/8 z (*.f64 (*.f64 1/2 y) x)) |
(fma.f64 -1/8 z (*.f64 x (*.f64 1/2 y))) |
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x))) |
(fma.f64 -1/8 z (*.f64 (*.f64 1/2 y) x)) |
(fma.f64 -1/8 z (*.f64 x (*.f64 1/2 y))) |
(*.f64 1/2 (*.f64 y x)) |
(*.f64 (*.f64 1/2 y) x) |
(*.f64 x (*.f64 1/2 y)) |
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x))) |
(fma.f64 -1/8 z (*.f64 (*.f64 1/2 y) x)) |
(fma.f64 -1/8 z (*.f64 x (*.f64 1/2 y))) |
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x))) |
(fma.f64 -1/8 z (*.f64 (*.f64 1/2 y) x)) |
(fma.f64 -1/8 z (*.f64 x (*.f64 1/2 y))) |
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x))) |
(fma.f64 -1/8 z (*.f64 (*.f64 1/2 y) x)) |
(fma.f64 -1/8 z (*.f64 x (*.f64 1/2 y))) |
(*.f64 1/2 (*.f64 y x)) |
(*.f64 (*.f64 1/2 y) x) |
(*.f64 x (*.f64 1/2 y)) |
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x))) |
(fma.f64 -1/8 z (*.f64 (*.f64 1/2 y) x)) |
(fma.f64 -1/8 z (*.f64 x (*.f64 1/2 y))) |
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x))) |
(fma.f64 -1/8 z (*.f64 (*.f64 1/2 y) x)) |
(fma.f64 -1/8 z (*.f64 x (*.f64 1/2 y))) |
(+.f64 (*.f64 -1/8 z) (*.f64 1/2 (*.f64 y x))) |
(fma.f64 -1/8 z (*.f64 (*.f64 1/2 y) x)) |
(fma.f64 -1/8 z (*.f64 x (*.f64 1/2 y))) |
(*.f64 -1/8 z) |
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 -1/8 z)) |
(fma.f64 -1/8 z (*.f64 (*.f64 1/2 y) x)) |
(fma.f64 -1/8 z (*.f64 x (*.f64 1/2 y))) |
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 -1/8 z)) |
(fma.f64 -1/8 z (*.f64 (*.f64 1/2 y) x)) |
(fma.f64 -1/8 z (*.f64 x (*.f64 1/2 y))) |
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 -1/8 z)) |
(fma.f64 -1/8 z (*.f64 (*.f64 1/2 y) x)) |
(fma.f64 -1/8 z (*.f64 x (*.f64 1/2 y))) |
(*.f64 -1/8 z) |
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 -1/8 z)) |
(fma.f64 -1/8 z (*.f64 (*.f64 1/2 y) x)) |
(fma.f64 -1/8 z (*.f64 x (*.f64 1/2 y))) |
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 -1/8 z)) |
(fma.f64 -1/8 z (*.f64 (*.f64 1/2 y) x)) |
(fma.f64 -1/8 z (*.f64 x (*.f64 1/2 y))) |
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 -1/8 z)) |
(fma.f64 -1/8 z (*.f64 (*.f64 1/2 y) x)) |
(fma.f64 -1/8 z (*.f64 x (*.f64 1/2 y))) |
(*.f64 2 (/.f64 z y)) |
(/.f64 (*.f64 2 z) y) |
(/.f64 (*.f64 z 2) y) |
(/.f64 z (/.f64 y 2)) |
(*.f64 2 (/.f64 z y)) |
(/.f64 (*.f64 2 z) y) |
(/.f64 (*.f64 z 2) y) |
(/.f64 z (/.f64 y 2)) |
(*.f64 2 (/.f64 z y)) |
(/.f64 (*.f64 2 z) y) |
(/.f64 (*.f64 z 2) y) |
(/.f64 z (/.f64 y 2)) |
(*.f64 2 (/.f64 z y)) |
(/.f64 (*.f64 2 z) y) |
(/.f64 (*.f64 z 2) y) |
(/.f64 z (/.f64 y 2)) |
(*.f64 2 (/.f64 z y)) |
(/.f64 (*.f64 2 z) y) |
(/.f64 (*.f64 z 2) y) |
(/.f64 z (/.f64 y 2)) |
(*.f64 2 (/.f64 z y)) |
(/.f64 (*.f64 2 z) y) |
(/.f64 (*.f64 z 2) y) |
(/.f64 z (/.f64 y 2)) |
(*.f64 2 (/.f64 z y)) |
(/.f64 (*.f64 2 z) y) |
(/.f64 (*.f64 z 2) y) |
(/.f64 z (/.f64 y 2)) |
(*.f64 2 (/.f64 z y)) |
(/.f64 (*.f64 2 z) y) |
(/.f64 (*.f64 z 2) y) |
(/.f64 z (/.f64 y 2)) |
(*.f64 2 (/.f64 z y)) |
(/.f64 (*.f64 2 z) y) |
(/.f64 (*.f64 z 2) y) |
(/.f64 z (/.f64 y 2)) |
(*.f64 2 (/.f64 z y)) |
(/.f64 (*.f64 2 z) y) |
(/.f64 (*.f64 z 2) y) |
(/.f64 z (/.f64 y 2)) |
(*.f64 2 (/.f64 z y)) |
(/.f64 (*.f64 2 z) y) |
(/.f64 (*.f64 z 2) y) |
(/.f64 z (/.f64 y 2)) |
(*.f64 2 (/.f64 z y)) |
(/.f64 (*.f64 2 z) y) |
(/.f64 (*.f64 z 2) y) |
(/.f64 z (/.f64 y 2)) |
(*.f64 2 (/.f64 z y)) |
(/.f64 (*.f64 2 z) y) |
(/.f64 (*.f64 z 2) y) |
(/.f64 z (/.f64 y 2)) |
(*.f64 2 (/.f64 z y)) |
(/.f64 (*.f64 2 z) y) |
(/.f64 (*.f64 z 2) y) |
(/.f64 z (/.f64 y 2)) |
(*.f64 2 (/.f64 z y)) |
(/.f64 (*.f64 2 z) y) |
(/.f64 (*.f64 z 2) y) |
(/.f64 z (/.f64 y 2)) |
(*.f64 2 (/.f64 z y)) |
(/.f64 (*.f64 2 z) y) |
(/.f64 (*.f64 z 2) y) |
(/.f64 z (/.f64 y 2)) |
(*.f64 2 (/.f64 z y)) |
(/.f64 (*.f64 2 z) y) |
(/.f64 (*.f64 z 2) y) |
(/.f64 z (/.f64 y 2)) |
(*.f64 2 (/.f64 z y)) |
(/.f64 (*.f64 2 z) y) |
(/.f64 (*.f64 z 2) y) |
(/.f64 z (/.f64 y 2)) |
(*.f64 2 (/.f64 z y)) |
(/.f64 (*.f64 2 z) y) |
(/.f64 (*.f64 z 2) y) |
(/.f64 z (/.f64 y 2)) |
(*.f64 2 (/.f64 z y)) |
(/.f64 (*.f64 2 z) y) |
(/.f64 (*.f64 z 2) y) |
(/.f64 z (/.f64 y 2)) |
(*.f64 2 (/.f64 z y)) |
(/.f64 (*.f64 2 z) y) |
(/.f64 (*.f64 z 2) y) |
(/.f64 z (/.f64 y 2)) |
(*.f64 2 (/.f64 z y)) |
(/.f64 (*.f64 2 z) y) |
(/.f64 (*.f64 z 2) y) |
(/.f64 z (/.f64 y 2)) |
(*.f64 2 (/.f64 z y)) |
(/.f64 (*.f64 2 z) y) |
(/.f64 (*.f64 z 2) y) |
(/.f64 z (/.f64 y 2)) |
(*.f64 2 (/.f64 z y)) |
(/.f64 (*.f64 2 z) y) |
(/.f64 (*.f64 z 2) y) |
(/.f64 z (/.f64 y 2)) |
Compiled 2270 to 1603 computations (29.4% saved)
4 alts after pruning (0 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 122 | 0 | 122 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 3 | 3 |
| Total | 122 | 4 | 126 |
| Status | Error | Program |
|---|---|---|
| ✓ | 27.0b | (*.f64 -1/8 z) |
| ✓ | 12.4b | (/.f64 (-.f64 (*.f64 x 8) (*.f64 (/.f64 2 y) z)) (*.f64 (/.f64 2 y) 8)) |
| ✓ | 0.0b | (-.f64 (/.f64 (*.f64 x y) 2) (/.f64 z 8)) |
| ✓ | 35.8b | (*.f64 1/2 (*.f64 y x)) |
Compiled 44 to 34 computations (22.7% saved)
| Inputs |
|---|
(*.f64 -1/8 z) |
(*.f64 1/2 (*.f64 y x)) |
(-.f64 (/.f64 (*.f64 x y) 2) (/.f64 z 8)) |
(/.f64 (-.f64 (*.f64 x 8) (*.f64 (/.f64 2 y) z)) (*.f64 (/.f64 2 y) 8)) |
(fma.f64 x (*.f64 y 1/2) (*.f64 z -1/8)) |
| Outputs |
|---|
(fma.f64 x (*.f64 y 1/2) (*.f64 z -1/8)) |
10 calls:
| 6.0ms | (-.f64 (/.f64 (*.f64 x y) 2) (/.f64 z 8)) |
| 6.0ms | (/.f64 z 8) |
| 5.0ms | (*.f64 x y) |
| 5.0ms | (/.f64 z 8) |
| 4.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 0b | 1 | x |
| 0b | 1 | y |
| 0b | 1 | z |
| 0b | 1 | (-.f64 (/.f64 (*.f64 x y) 2) (/.f64 z 8)) |
| 0b | 1 | (/.f64 (*.f64 x y) 2) |
| 0b | 1 | (/.f64 (*.f64 x y) 2) |
| 0b | 1 | (*.f64 x y) |
| 0b | 1 | (*.f64 x y) |
| 0b | 1 | (/.f64 z 8) |
| 0b | 1 | (/.f64 z 8) |
Compiled 107 to 78 computations (27.1% saved)
| Inputs |
|---|
(*.f64 -1/8 z) |
(*.f64 1/2 (*.f64 y x)) |
(-.f64 (/.f64 (*.f64 x y) 2) (/.f64 z 8)) |
(/.f64 (-.f64 (*.f64 x 8) (*.f64 (/.f64 2 y) z)) (*.f64 (/.f64 2 y) 8)) |
| Outputs |
|---|
(-.f64 (/.f64 (*.f64 x y) 2) (/.f64 z 8)) |
7 calls:
| 5.0ms | (-.f64 (/.f64 (*.f64 x y) 2) (/.f64 z 8)) |
| 5.0ms | (/.f64 z 8) |
| 4.0ms | x |
| 4.0ms | z |
| 4.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 1 | x |
| 0.0b | 1 | y |
| 0.0b | 1 | z |
| 0.0b | 1 | (-.f64 (/.f64 (*.f64 x y) 2) (/.f64 z 8)) |
| 0.0b | 1 | (/.f64 (*.f64 x y) 2) |
| 0.0b | 1 | (*.f64 x y) |
| 0.0b | 1 | (/.f64 z 8) |
Compiled 79 to 58 computations (26.6% saved)
Total -48.8b remaining (-376.1%)
Threshold costs -48.8b (-376.1%)
| Inputs |
|---|
(*.f64 -1/8 z) |
(*.f64 1/2 (*.f64 y x)) |
| Outputs |
|---|
(*.f64 -1/8 z) |
(*.f64 1/2 (*.f64 y x)) |
(*.f64 -1/8 z) |
3 calls:
| 27.0ms | x |
| 16.0ms | y |
| 12.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 15.5b | 9 | x |
| 14.1b | 5 | y |
| 13.0b | 3 | z |
Compiled 23 to 17 computations (26.1% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 22.0ms | 1.7386466204348225e-58 | 3.963408685308883e-43 |
| 18.0ms | -0.00010399385549024301 | -2.561139592430648e-9 |
Compiled 18 to 14 computations (22.2% saved)
| 1× | egg-herbie |
| 6× | *-commutative_binary64 |
| 3× | +-commutative_binary64 |
| 3× | sub-neg_binary64 |
| 2× | neg-sub0_binary64 |
| 2× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 55 |
| 1 | 31 | 55 |
| 2 | 38 | 55 |
| 3 | 42 | 55 |
| 4 | 45 | 55 |
| 5 | 46 | 55 |
| 1× | done |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 x (*.f64 y 1/2) (*.f64 z -1/8)) |
(-.f64 (/.f64 (*.f64 x y) 2) (/.f64 z 8)) |
(if (<=.f64 z -7673392149867391/73786976294838206464) (*.f64 -1/8 z) (if (<=.f64 z 2457538142401699/14134776518227074636666380005943348126619871175004951664972849610340958208) (*.f64 1/2 (*.f64 y x)) (*.f64 -1/8 z))) |
(*.f64 -1/8 z) |
| Outputs |
|---|
(fma.f64 x (*.f64 y 1/2) (*.f64 z -1/8)) |
(-.f64 (/.f64 (*.f64 x y) 2) (/.f64 z 8)) |
(if (<=.f64 z -7673392149867391/73786976294838206464) (*.f64 -1/8 z) (if (<=.f64 z 2457538142401699/14134776518227074636666380005943348126619871175004951664972849610340958208) (*.f64 1/2 (*.f64 y x)) (*.f64 -1/8 z))) |
(if (<=.f64 z -7673392149867391/73786976294838206464) (*.f64 z -1/8) (if (<=.f64 z 2457538142401699/14134776518227074636666380005943348126619871175004951664972849610340958208) (*.f64 1/2 (*.f64 x y)) (*.f64 z -1/8))) |
(*.f64 -1/8 z) |
(*.f64 z -1/8) |
Compiled 51 to 38 computations (25.5% saved)
| 1× | egg-herbie |
| 209× | fma-def_binary64 |
| 157× | fma-neg_binary64 |
| 57× | cancel-sign-sub-inv_binary64 |
| 42× | distribute-rgt-neg-in_binary64 |
| 38× | associate-/l*_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 13 |
| 1 | 15 | 13 |
| 2 | 26 | 13 |
| 3 | 39 | 13 |
| 4 | 69 | 11 |
| 5 | 122 | 11 |
| 6 | 237 | 11 |
| 7 | 427 | 11 |
| 8 | 678 | 11 |
| 9 | 968 | 11 |
| 10 | 1083 | 11 |
| 11 | 1113 | 11 |
| 12 | 1116 | 11 |
| 1× | saturated |
Compiled 230 to 176 computations (23.5% saved)
(sort x y)
Compiled 64 to 44 computations (31.3% saved)
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