Time bar (total: 2.2s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.9% | 0.1% | 0 |
| 0% | 99.9% | 0.1% | 1 |
| 0% | 99.9% | 0.1% | 2 |
| 0% | 99.9% | 0.1% | 3 |
| 0% | 99.9% | 0.1% | 4 |
| 0% | 99.9% | 0.1% | 5 |
| 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 |
| 34.3% | 59.3% | 6.4% | 10 |
| 40.6% | 51.3% | 8.1% | 11 |
| 48% | 43.2% | 8.8% | 12 |
| 53.2% | 33.9% | 12.8% | 13 |
| 57.4% | 28.4% | 14.2% | 14 |
Compiled 11 to 7 computations (36.4% saved)
| 847.0ms | 8256× | body | 128 | valid |
| 69.0ms | 681× | body | 128 | invalid |
Compiled 22 to 14 computations (36.4% saved)
| 2× | egg-herbie |
| 869× | fma-neg_binary64 |
| 384× | fma-def_binary64 |
| 156× | unsub-neg_binary64 |
| 145× | distribute-rgt-in_binary64 |
| 108× | cancel-sign-sub-inv_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 40 |
| 1 | 31 | 32 |
| 2 | 73 | 32 |
| 3 | 176 | 32 |
| 4 | 317 | 32 |
| 5 | 656 | 32 |
| 6 | 1272 | 32 |
| 7 | 2021 | 32 |
| 8 | 2747 | 32 |
| 9 | 2910 | 32 |
| 10 | 2938 | 32 |
| 11 | 2938 | 32 |
| 0 | 3 | 3 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
1 |
2 |
| Outputs |
|---|
0 |
1 |
2 |
| Inputs |
|---|
(+.f64 x (*.f64 (-.f64 y x) z)) |
(+.f64 y (*.f64 (-.f64 x y) z)) |
(+.f64 z (*.f64 (-.f64 y z) x)) |
(+.f64 x (*.f64 (-.f64 z x) y)) |
| Outputs |
|---|
(+.f64 x (*.f64 (-.f64 y x) z)) |
(fma.f64 (-.f64 y x) z x) |
(+.f64 y (*.f64 (-.f64 x y) z)) |
(+.f64 y (*.f64 z (-.f64 x y))) |
(fma.f64 z (-.f64 x y) y) |
(+.f64 z (*.f64 (-.f64 y z) x)) |
(+.f64 z (*.f64 x (-.f64 y z))) |
(fma.f64 x (-.f64 y z) z) |
(+.f64 x (*.f64 (-.f64 z x) y)) |
(+.f64 x (*.f64 y (-.f64 z x))) |
(fma.f64 y (-.f64 z x) x) |
Compiled 10 to 6 computations (40% saved)
| 1× | egg-herbie |
| 276× | fma-def_binary64 |
| 251× | fma-neg_binary64 |
| 71× | cancel-sign-sub-inv_binary64 |
| 55× | distribute-rgt-in_binary64 |
| 42× | sub-neg_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 10 |
| 1 | 11 | 8 |
| 2 | 24 | 8 |
| 3 | 52 | 8 |
| 4 | 100 | 8 |
| 5 | 171 | 8 |
| 6 | 281 | 8 |
| 7 | 481 | 8 |
| 8 | 875 | 8 |
| 9 | 1116 | 8 |
| 10 | 1216 | 8 |
| 11 | 1223 | 8 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 x (*.f64 (-.f64 y x) z)) |
| Outputs |
|---|
(+.f64 x (*.f64 (-.f64 y x) z)) |
(fma.f64 (-.f64 y x) z x) |
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 2 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 3 | 3 |
| Status | Error | Program |
|---|---|---|
| 0.0b | (+.f64 x (*.f64 (-.f64 y x) z)) | |
| ▶ | 0.0b | (fma.f64 (-.f64 y x) z x) |
Compiled 54 to 29 computations (46.3% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (fma.f64 (-.f64 y x) z x) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (fma.f64 (-.f64 y x) z x) |
| 1.0ms | y | @ | 0 | (fma.f64 (-.f64 y x) z x) |
| 1.0ms | y | @ | inf | (fma.f64 (-.f64 y x) z x) |
| 1.0ms | z | @ | -inf | (fma.f64 (-.f64 y x) z x) |
| 1.0ms | x | @ | inf | (fma.f64 (-.f64 y x) z x) |
| 1× | batch-egg-rewrite |
| 736× | pow1_binary64 |
| 682× | add-log-exp_binary64 |
| 682× | log1p-expm1-u_binary64 |
| 682× | expm1-log1p-u_binary64 |
| 71× | add-sqr-sqrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 8 |
| 1 | 130 | 8 |
| 2 | 1787 | 8 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 (-.f64 y x) z x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (-.f64 y x) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 y x) z) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (-.f64 y x) z) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 y x) z x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (-.f64 y x) z x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (-.f64 y x) z x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (-.f64 y x) z x)) (cbrt.f64 (pow.f64 (fma.f64 (-.f64 y x) z x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 (-.f64 y x) z x) 2)) (cbrt.f64 (fma.f64 (-.f64 y x) z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (-.f64 y x) z x)) (sqrt.f64 (fma.f64 (-.f64 y x) z x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (-.f64 y x) z) 3) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 (-.f64 y x) z) (*.f64 (-.f64 y x) z)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (-.f64 y x) z) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (-.f64 y x) z) (*.f64 (-.f64 y x) z)) (*.f64 x x)) (-.f64 (*.f64 (-.f64 y x) z) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (-.f64 y x) z x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (-.f64 y x) z x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) z x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (-.f64 y x) z x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (-.f64 y x) z x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (-.f64 y x) z x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (-.f64 y x) z x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (-.f64 y x) z x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (-.f64 y x) z x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (-.f64 y x) z x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (-.f64 y x) z x))))))) |
| 1× | egg-herbie |
| 263× | fma-neg_binary64 |
| 255× | fma-def_binary64 |
| 61× | distribute-rgt-in_binary64 |
| 39× | associate--r+_binary64 |
| 36× | cancel-sign-sub-inv_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 345 |
| 1 | 54 | 318 |
| 2 | 121 | 318 |
| 3 | 246 | 264 |
| 4 | 533 | 264 |
| 5 | 959 | 264 |
| 6 | 1141 | 264 |
| 7 | 1165 | 264 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 x (*.f64 z x)) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(*.f64 y z) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(*.f64 y z) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(*.f64 y z) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(*.f64 (-.f64 1 z) x) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(*.f64 -1 (*.f64 x (-.f64 z 1))) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
x |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(*.f64 z (-.f64 y x)) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(*.f64 -1 (*.f64 (-.f64 x y) z)) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
| Outputs |
|---|
(-.f64 x (*.f64 z x)) |
(-.f64 x (*.f64 x z)) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (fma.f64 y z x) (*.f64 x z)) |
(+.f64 x (*.f64 z (-.f64 y x))) |
(fma.f64 z (-.f64 y x) x) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (fma.f64 y z x) (*.f64 x z)) |
(+.f64 x (*.f64 z (-.f64 y x))) |
(fma.f64 z (-.f64 y x) x) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (fma.f64 y z x) (*.f64 x z)) |
(+.f64 x (*.f64 z (-.f64 y x))) |
(fma.f64 z (-.f64 y x) x) |
(*.f64 y z) |
(*.f64 z y) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (fma.f64 y z x) (*.f64 x z)) |
(+.f64 x (*.f64 z (-.f64 y x))) |
(fma.f64 z (-.f64 y x) x) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (fma.f64 y z x) (*.f64 x z)) |
(+.f64 x (*.f64 z (-.f64 y x))) |
(fma.f64 z (-.f64 y x) x) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (fma.f64 y z x) (*.f64 x z)) |
(+.f64 x (*.f64 z (-.f64 y x))) |
(fma.f64 z (-.f64 y x) x) |
(*.f64 y z) |
(*.f64 z y) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (fma.f64 y z x) (*.f64 x z)) |
(+.f64 x (*.f64 z (-.f64 y x))) |
(fma.f64 z (-.f64 y x) x) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (fma.f64 y z x) (*.f64 x z)) |
(+.f64 x (*.f64 z (-.f64 y x))) |
(fma.f64 z (-.f64 y x) x) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (fma.f64 y z x) (*.f64 x z)) |
(+.f64 x (*.f64 z (-.f64 y x))) |
(fma.f64 z (-.f64 y x) x) |
(*.f64 y z) |
(*.f64 z y) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (fma.f64 y z x) (*.f64 x z)) |
(+.f64 x (*.f64 z (-.f64 y x))) |
(fma.f64 z (-.f64 y x) x) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (fma.f64 y z x) (*.f64 x z)) |
(+.f64 x (*.f64 z (-.f64 y x))) |
(fma.f64 z (-.f64 y x) x) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (fma.f64 y z x) (*.f64 x z)) |
(+.f64 x (*.f64 z (-.f64 y x))) |
(fma.f64 z (-.f64 y x) x) |
(*.f64 (-.f64 1 z) x) |
(-.f64 x (*.f64 x z)) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (fma.f64 y z x) (*.f64 x z)) |
(+.f64 x (*.f64 z (-.f64 y x))) |
(fma.f64 z (-.f64 y x) x) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (fma.f64 y z x) (*.f64 x z)) |
(+.f64 x (*.f64 z (-.f64 y x))) |
(fma.f64 z (-.f64 y x) x) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (fma.f64 y z x) (*.f64 x z)) |
(+.f64 x (*.f64 z (-.f64 y x))) |
(fma.f64 z (-.f64 y x) x) |
(*.f64 -1 (*.f64 x (-.f64 z 1))) |
(-.f64 x (*.f64 x z)) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (fma.f64 y z x) (*.f64 x z)) |
(+.f64 x (*.f64 z (-.f64 y x))) |
(fma.f64 z (-.f64 y x) x) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (fma.f64 y z x) (*.f64 x z)) |
(+.f64 x (*.f64 z (-.f64 y x))) |
(fma.f64 z (-.f64 y x) x) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (fma.f64 y z x) (*.f64 x z)) |
(+.f64 x (*.f64 z (-.f64 y x))) |
(fma.f64 z (-.f64 y x) x) |
x |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (fma.f64 y z x) (*.f64 x z)) |
(+.f64 x (*.f64 z (-.f64 y x))) |
(fma.f64 z (-.f64 y x) x) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (fma.f64 y z x) (*.f64 x z)) |
(+.f64 x (*.f64 z (-.f64 y x))) |
(fma.f64 z (-.f64 y x) x) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (fma.f64 y z x) (*.f64 x z)) |
(+.f64 x (*.f64 z (-.f64 y x))) |
(fma.f64 z (-.f64 y x) x) |
(*.f64 z (-.f64 y x)) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (fma.f64 y z x) (*.f64 x z)) |
(+.f64 x (*.f64 z (-.f64 y x))) |
(fma.f64 z (-.f64 y x) x) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (fma.f64 y z x) (*.f64 x z)) |
(+.f64 x (*.f64 z (-.f64 y x))) |
(fma.f64 z (-.f64 y x) x) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (fma.f64 y z x) (*.f64 x z)) |
(+.f64 x (*.f64 z (-.f64 y x))) |
(fma.f64 z (-.f64 y x) x) |
(*.f64 -1 (*.f64 (-.f64 x y) z)) |
(*.f64 z (-.f64 y x)) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (fma.f64 y z x) (*.f64 x z)) |
(+.f64 x (*.f64 z (-.f64 y x))) |
(fma.f64 z (-.f64 y x) x) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (fma.f64 y z x) (*.f64 x z)) |
(+.f64 x (*.f64 z (-.f64 y x))) |
(fma.f64 z (-.f64 y x) x) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (fma.f64 y z x) (*.f64 x z)) |
(+.f64 x (*.f64 z (-.f64 y x))) |
(fma.f64 z (-.f64 y x) x) |
3 alts after pruning (2 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 32 | 1 | 33 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 32 | 3 | 35 |
| Status | Error | Program |
|---|---|---|
| 0.0b | (+.f64 x (*.f64 (-.f64 y x) z)) | |
| ▶ | 0.0b | (-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
| ✓ | 0.0b | (fma.f64 (-.f64 y x) z x) |
Compiled 364 to 123 computations (66.2% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
| ✓ | 0.0b | (+.f64 (*.f64 y z) x) |
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | 0 | (-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
| 0.0ms | y | @ | 0 | (+.f64 (*.f64 y z) x) |
| 0.0ms | y | @ | inf | (+.f64 (*.f64 y z) x) |
| 0.0ms | z | @ | inf | (-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
| 0.0ms | z | @ | inf | (+.f64 (*.f64 y z) x) |
| 1× | batch-egg-rewrite |
| 582× | fma-def_binary64 |
| 504× | log-prod_binary64 |
| 269× | fma-neg_binary64 |
| 176× | expm1-udef_binary64 |
| 176× | log1p-udef_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 16 |
| 1 | 185 | 16 |
| 2 | 2840 | 16 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 y z) x) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 y z x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 y z) 2) (-.f64 (*.f64 y z) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y z x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y z x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y z x)) (pow.f64 (cbrt.f64 (fma.f64 y z x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y z x)) 2) (cbrt.f64 (fma.f64 y z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y z x)) (sqrt.f64 (fma.f64 y z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 y z) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (-.f64 x (*.f64 y z)) (pow.f64 (*.f64 y z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 y z) 2) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 y z) x)))))) 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#<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 y z x) (*.f64 z x))) 1)))))) |
| 1× | egg-herbie |
| 212× | fma-def_binary64 |
| 140× | fma-neg_binary64 |
| 43× | distribute-rgt-in_binary64 |
| 33× | associate-*r*_binary64 |
| 31× | unsub-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 72 |
| 1 | 47 | 72 |
| 2 | 105 | 72 |
| 3 | 216 | 72 |
| 4 | 455 | 72 |
| 5 | 726 | 72 |
| 6 | 857 | 72 |
| 7 | 866 | 72 |
| 1× | saturated |
| Inputs |
|---|
x |
(*.f64 y z) |
(*.f64 y z) |
x |
(*.f64 y z) |
(*.f64 y z) |
(*.f64 y z) |
x |
x |
(-.f64 x (*.f64 z x)) |
(*.f64 y z) |
(*.f64 y z) |
x |
(*.f64 z (-.f64 y x)) |
(*.f64 -1 (*.f64 (-.f64 x y) z)) |
(*.f64 y z) |
(*.f64 (-.f64 1 z) x) |
(*.f64 -1 (*.f64 x (-.f64 z 1))) |
| Outputs |
|---|
x |
(*.f64 y z) |
(*.f64 y z) |
x |
(*.f64 y z) |
(*.f64 y z) |
(*.f64 y z) |
x |
x |
(-.f64 x (*.f64 z x)) |
(-.f64 x (*.f64 x z)) |
(*.f64 y z) |
(*.f64 y z) |
x |
(*.f64 z (-.f64 y x)) |
(*.f64 -1 (*.f64 (-.f64 x y) z)) |
(*.f64 z (-.f64 y x)) |
(*.f64 y z) |
(*.f64 (-.f64 1 z) x) |
(-.f64 x (*.f64 x z)) |
(*.f64 -1 (*.f64 x (-.f64 z 1))) |
(-.f64 x (*.f64 x z)) |
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 214 | 2 | 216 |
| Fresh | 1 | 0 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 0 | 1 |
| Total | 217 | 2 | 219 |
| Status | Error | Program |
|---|---|---|
| 0.0b | (fma.f64 y z (-.f64 x (*.f64 z x))) | |
| ▶ | 0.0b | (fma.f64 z (neg.f64 x) (fma.f64 y z x)) |
Compiled 3591 to 935 computations (74% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (fma.f64 z (neg.f64 x) (fma.f64 y z x)) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | z | @ | inf | (fma.f64 z (neg.f64 x) (fma.f64 y z x)) |
| 1.0ms | z | @ | 0 | (fma.f64 z (neg.f64 x) (fma.f64 y z x)) |
| 1.0ms | z | @ | -inf | (fma.f64 z (neg.f64 x) (fma.f64 y z x)) |
| 1.0ms | y | @ | -inf | (fma.f64 z (neg.f64 x) (fma.f64 y z x)) |
| 0.0ms | x | @ | inf | (fma.f64 z (neg.f64 x) (fma.f64 y z x)) |
| 1× | batch-egg-rewrite |
| 623× | pow1_binary64 |
| 571× | add-log-exp_binary64 |
| 570× | log1p-expm1-u_binary64 |
| 570× | expm1-log1p-u_binary64 |
| 74× | add-sqr-sqrt_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 11 |
| 1 | 142 | 9 |
| 2 | 1764 | 9 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 z (neg.f64 x) (fma.f64 y z x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 y z x) (*.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z x) (fma.f64 y z x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 z x) 1) (fma.f64 y z x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 z x) (*.f64 z y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 z x (fma.f64 y z x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 z x (fma.f64 y z x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 z x (fma.f64 y z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 z x (fma.f64 y z x))) (pow.f64 (cbrt.f64 (fma.f64 z x (fma.f64 y z x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 z x (fma.f64 y z x))) 2) (cbrt.f64 (fma.f64 z x (fma.f64 y z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 z x (fma.f64 y z x))) (sqrt.f64 (fma.f64 z x (fma.f64 y z x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 z x) 3) (pow.f64 (fma.f64 y z x) 3)) (+.f64 (*.f64 (*.f64 z x) (*.f64 z x)) (-.f64 (pow.f64 (fma.f64 y z x) 2) (*.f64 (*.f64 z x) (fma.f64 y z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 z x) (*.f64 z x)) (pow.f64 (fma.f64 y z x) 2)) (-.f64 (*.f64 z x) (fma.f64 y z x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 z x (fma.f64 y z x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 z x (fma.f64 y z x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 z x (fma.f64 y z x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 z x (fma.f64 y z x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 z x (fma.f64 y z x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 z x (fma.f64 y z x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 z x (fma.f64 y z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 z x (fma.f64 y z x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 z x (fma.f64 y z x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 z x (fma.f64 y z x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 z x (fma.f64 y z x)))))))) |
| 1× | egg-herbie |
| 263× | fma-neg_binary64 |
| 251× | fma-def_binary64 |
| 61× | distribute-rgt-in_binary64 |
| 39× | associate--r+_binary64 |
| 36× | cancel-sign-sub-inv_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 345 |
| 1 | 54 | 318 |
| 2 | 121 | 318 |
| 3 | 247 | 264 |
| 4 | 531 | 264 |
| 5 | 958 | 264 |
| 6 | 1140 | 264 |
| 7 | 1164 | 264 |
| 1× | saturated |
| Inputs |
|---|
x |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(*.f64 z (-.f64 y x)) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(*.f64 -1 (*.f64 (-.f64 x y) z)) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(*.f64 y z) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(*.f64 (-.f64 1 z) x) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(*.f64 -1 (*.f64 x (-.f64 z 1))) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 x (*.f64 z x)) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(*.f64 y z) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(*.f64 y z) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
| Outputs |
|---|
x |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (fma.f64 y z x) (*.f64 x z)) |
(+.f64 x (*.f64 z (-.f64 y x))) |
(fma.f64 z (-.f64 y x) x) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (fma.f64 y z x) (*.f64 x z)) |
(+.f64 x (*.f64 z (-.f64 y x))) |
(fma.f64 z (-.f64 y x) x) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (fma.f64 y z x) (*.f64 x z)) |
(+.f64 x (*.f64 z (-.f64 y x))) |
(fma.f64 z (-.f64 y x) x) |
(*.f64 z (-.f64 y x)) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (fma.f64 y z x) (*.f64 x z)) |
(+.f64 x (*.f64 z (-.f64 y x))) |
(fma.f64 z (-.f64 y x) x) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (fma.f64 y z x) (*.f64 x z)) |
(+.f64 x (*.f64 z (-.f64 y x))) |
(fma.f64 z (-.f64 y x) x) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (fma.f64 y z x) (*.f64 x z)) |
(+.f64 x (*.f64 z (-.f64 y x))) |
(fma.f64 z (-.f64 y x) x) |
(*.f64 -1 (*.f64 (-.f64 x y) z)) |
(*.f64 z (-.f64 y x)) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (fma.f64 y z x) (*.f64 x z)) |
(+.f64 x (*.f64 z (-.f64 y x))) |
(fma.f64 z (-.f64 y x) x) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (fma.f64 y z x) (*.f64 x z)) |
(+.f64 x (*.f64 z (-.f64 y x))) |
(fma.f64 z (-.f64 y x) x) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (fma.f64 y z x) (*.f64 x z)) |
(+.f64 x (*.f64 z (-.f64 y x))) |
(fma.f64 z (-.f64 y x) x) |
(*.f64 y z) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (fma.f64 y z x) (*.f64 x z)) |
(+.f64 x (*.f64 z (-.f64 y x))) |
(fma.f64 z (-.f64 y x) x) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (fma.f64 y z x) (*.f64 x z)) |
(+.f64 x (*.f64 z (-.f64 y x))) |
(fma.f64 z (-.f64 y x) x) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (fma.f64 y z x) (*.f64 x z)) |
(+.f64 x (*.f64 z (-.f64 y x))) |
(fma.f64 z (-.f64 y x) x) |
(*.f64 (-.f64 1 z) x) |
(*.f64 x (-.f64 1 z)) |
(-.f64 x (*.f64 x z)) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (fma.f64 y z x) (*.f64 x z)) |
(+.f64 x (*.f64 z (-.f64 y x))) |
(fma.f64 z (-.f64 y x) x) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (fma.f64 y z x) (*.f64 x z)) |
(+.f64 x (*.f64 z (-.f64 y x))) |
(fma.f64 z (-.f64 y x) x) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (fma.f64 y z x) (*.f64 x z)) |
(+.f64 x (*.f64 z (-.f64 y x))) |
(fma.f64 z (-.f64 y x) x) |
(*.f64 -1 (*.f64 x (-.f64 z 1))) |
(*.f64 x (-.f64 1 z)) |
(-.f64 x (*.f64 x z)) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (fma.f64 y z x) (*.f64 x z)) |
(+.f64 x (*.f64 z (-.f64 y x))) |
(fma.f64 z (-.f64 y x) x) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (fma.f64 y z x) (*.f64 x z)) |
(+.f64 x (*.f64 z (-.f64 y x))) |
(fma.f64 z (-.f64 y x) x) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (fma.f64 y z x) (*.f64 x z)) |
(+.f64 x (*.f64 z (-.f64 y x))) |
(fma.f64 z (-.f64 y x) x) |
(-.f64 x (*.f64 z x)) |
(*.f64 x (-.f64 1 z)) |
(-.f64 x (*.f64 x z)) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (fma.f64 y z x) (*.f64 x z)) |
(+.f64 x (*.f64 z (-.f64 y x))) |
(fma.f64 z (-.f64 y x) x) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (fma.f64 y z x) (*.f64 x z)) |
(+.f64 x (*.f64 z (-.f64 y x))) |
(fma.f64 z (-.f64 y x) x) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (fma.f64 y z x) (*.f64 x z)) |
(+.f64 x (*.f64 z (-.f64 y x))) |
(fma.f64 z (-.f64 y x) x) |
(*.f64 y z) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (fma.f64 y z x) (*.f64 x z)) |
(+.f64 x (*.f64 z (-.f64 y x))) |
(fma.f64 z (-.f64 y x) x) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (fma.f64 y z x) (*.f64 x z)) |
(+.f64 x (*.f64 z (-.f64 y x))) |
(fma.f64 z (-.f64 y x) x) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (fma.f64 y z x) (*.f64 x z)) |
(+.f64 x (*.f64 z (-.f64 y x))) |
(fma.f64 z (-.f64 y x) x) |
(*.f64 y z) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (fma.f64 y z x) (*.f64 x z)) |
(+.f64 x (*.f64 z (-.f64 y x))) |
(fma.f64 z (-.f64 y x) x) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (fma.f64 y z x) (*.f64 x z)) |
(+.f64 x (*.f64 z (-.f64 y x))) |
(fma.f64 z (-.f64 y x) x) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (fma.f64 y z x) (*.f64 x z)) |
(+.f64 x (*.f64 z (-.f64 y x))) |
(fma.f64 z (-.f64 y x) x) |
2 alts after pruning (1 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 33 | 0 | 33 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 33 | 2 | 35 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.0b | (fma.f64 y z (-.f64 x (*.f64 z x))) |
| ✓ | 0.0b | (fma.f64 z (neg.f64 x) (fma.f64 y z x)) |
Compiled 374 to 113 computations (69.8% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (fma.f64 y z (-.f64 x (*.f64 z x))) |
| ✓ | 0.0b | (-.f64 x (*.f64 z x)) |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (-.f64 x (*.f64 z x)) |
| 0.0ms | x | @ | 0 | (-.f64 x (*.f64 z x)) |
| 0.0ms | y | @ | 0 | (fma.f64 y z (-.f64 x (*.f64 z x))) |
| 0.0ms | z | @ | -inf | (fma.f64 y z (-.f64 x (*.f64 z x))) |
| 0.0ms | x | @ | -inf | (fma.f64 y z (-.f64 x (*.f64 z x))) |
| 1× | batch-egg-rewrite |
| 795× | log1p-expm1-u_binary64 |
| 795× | expm1-log1p-u_binary64 |
| 83× | add-sqr-sqrt_binary64 |
| 82× | *-un-lft-identity_binary64 |
| 82× | pow1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 18 |
| 1 | 153 | 18 |
| 2 | 2141 | 18 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 x (*.f64 z x)) |
(fma.f64 y z (-.f64 x (*.f64 z x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 x (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (*.f64 x (neg.f64 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 x z)) (fma.f64 (neg.f64 z) x (*.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 x z)) (fma.f64 (neg.f64 x) z (*.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 x z)) (fma.f64 (*.f64 x (neg.f64 z)) 1 (*.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 x z)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x z))) (pow.f64 (cbrt.f64 (*.f64 x z)) 2) (*.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 x z)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x z))) (sqrt.f64 (*.f64 x z)) (*.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (neg.f64 z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (-.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 1 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (*.f64 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 x (*.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 x (*.f64 x z))) (pow.f64 (cbrt.f64 (-.f64 x (*.f64 x z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 x z))) 2) (cbrt.f64 (-.f64 x (*.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x (*.f64 x z))) (sqrt.f64 (-.f64 x (*.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 x z) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 x z) (+.f64 x (*.f64 x z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 x z) 2)) (/.f64 1 (+.f64 x (*.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x z))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (neg.f64 z) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 x z) (+.f64 x (*.f64 x z)))) (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 x z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (*.f64 x z)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 x z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 x z) 3)) (fma.f64 x x (*.f64 (*.f64 x z) (+.f64 x (*.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 x z) 2)) (+.f64 x (*.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 x z) 3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 x z) (+.f64 x (*.f64 x z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 x z) 2))) (neg.f64 (+.f64 x (*.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (neg.f64 z)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x (neg.f64 z)) (*.f64 x (neg.f64 z))) (*.f64 x (*.f64 x (neg.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x (neg.f64 z)) (*.f64 x (neg.f64 z)))) (-.f64 x (*.f64 x (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 x (*.f64 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 x (*.f64 x z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 x (*.f64 x z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 x (*.f64 x z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 x (*.f64 x z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 x (*.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 x (*.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 x (*.f64 x z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 x (*.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 x (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 x (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 x (*.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 x (*.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 x (*.f64 x z))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 x z)) (*.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z y) (-.f64 x (*.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 z y) 1) (-.f64 x (*.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 z y) x) (*.f64 x (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 y z (-.f64 x (*.f64 x z))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 z y) x) (*.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y z (-.f64 x (*.f64 x z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y z (-.f64 x (*.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y z (-.f64 x (*.f64 x z)))) (pow.f64 (cbrt.f64 (fma.f64 y z (-.f64 x (*.f64 x z)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y z (-.f64 x (*.f64 x z)))) 2) (cbrt.f64 (fma.f64 y z (-.f64 x (*.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y z (-.f64 x (*.f64 x z)))) (sqrt.f64 (fma.f64 y z (-.f64 x (*.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 z y) 3) (pow.f64 (-.f64 x (*.f64 x z)) 3)) (+.f64 (*.f64 (*.f64 z y) (*.f64 z y)) (-.f64 (pow.f64 (-.f64 x (*.f64 x z)) 2) (*.f64 (*.f64 z y) (-.f64 x (*.f64 x z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 z y) (*.f64 z y)) (pow.f64 (-.f64 x (*.f64 x z)) 2)) (-.f64 (*.f64 z y) (-.f64 x (*.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y z (-.f64 x (*.f64 x z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y z (-.f64 x (*.f64 x z))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y z (-.f64 x (*.f64 x z)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y z (-.f64 x (*.f64 x z)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y z (-.f64 x (*.f64 x z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y z (-.f64 x (*.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 y z (-.f64 x (*.f64 x z))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y z (-.f64 x (*.f64 x z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y z (-.f64 x (*.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y z (-.f64 x (*.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y z (-.f64 x (*.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 y z (-.f64 x (*.f64 x z)))) 1)))))) |
| 1× | egg-herbie |
| 274× | fma-neg_binary64 |
| 258× | fma-def_binary64 |
| 60× | distribute-rgt-in_binary64 |
| 36× | associate--r+_binary64 |
| 36× | cancel-sign-sub-inv_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 442 |
| 1 | 58 | 415 |
| 2 | 125 | 415 |
| 3 | 247 | 361 |
| 4 | 531 | 361 |
| 5 | 957 | 361 |
| 6 | 1152 | 361 |
| 7 | 1176 | 361 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (-.f64 1 z) x) |
(*.f64 (-.f64 1 z) x) |
(*.f64 (-.f64 1 z) x) |
(*.f64 (-.f64 1 z) x) |
(*.f64 (-.f64 1 z) x) |
(*.f64 (-.f64 1 z) x) |
(*.f64 (-.f64 1 z) x) |
(*.f64 (-.f64 1 z) x) |
(*.f64 -1 (*.f64 x (-.f64 z 1))) |
(*.f64 -1 (*.f64 x (-.f64 z 1))) |
(*.f64 -1 (*.f64 x (-.f64 z 1))) |
(*.f64 -1 (*.f64 x (-.f64 z 1))) |
x |
(*.f64 -1 (*.f64 z x)) |
(*.f64 -1 (*.f64 z x)) |
(-.f64 x (*.f64 z x)) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(*.f64 y z) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(*.f64 y z) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
x |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(*.f64 z (-.f64 y x)) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(*.f64 -1 (*.f64 (-.f64 x y) z)) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(*.f64 y z) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(*.f64 (-.f64 1 z) x) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(*.f64 -1 (*.f64 x (-.f64 z 1))) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
| Outputs |
|---|
(*.f64 (-.f64 1 z) x) |
(*.f64 (-.f64 1 z) x) |
(*.f64 (-.f64 1 z) x) |
(*.f64 (-.f64 1 z) x) |
(*.f64 (-.f64 1 z) x) |
(*.f64 (-.f64 1 z) x) |
(*.f64 (-.f64 1 z) x) |
(*.f64 (-.f64 1 z) x) |
(*.f64 -1 (*.f64 x (-.f64 z 1))) |
(*.f64 (-.f64 1 z) x) |
(*.f64 -1 (*.f64 x (-.f64 z 1))) |
(*.f64 (-.f64 1 z) x) |
(*.f64 -1 (*.f64 x (-.f64 z 1))) |
(*.f64 (-.f64 1 z) x) |
(*.f64 -1 (*.f64 x (-.f64 z 1))) |
(*.f64 (-.f64 1 z) x) |
x |
(*.f64 -1 (*.f64 z x)) |
(neg.f64 (*.f64 z x)) |
(*.f64 z (neg.f64 x)) |
(*.f64 x (neg.f64 z)) |
(*.f64 -1 (*.f64 z x)) |
(neg.f64 (*.f64 z x)) |
(*.f64 z (neg.f64 x)) |
(*.f64 x (neg.f64 z)) |
(-.f64 x (*.f64 z x)) |
(*.f64 (-.f64 1 z) x) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (fma.f64 y z x) (*.f64 z x)) |
(+.f64 x (*.f64 z (-.f64 y x))) |
(fma.f64 z (-.f64 y x) x) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (fma.f64 y z x) (*.f64 z x)) |
(+.f64 x (*.f64 z (-.f64 y x))) |
(fma.f64 z (-.f64 y x) x) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (fma.f64 y z x) (*.f64 z x)) |
(+.f64 x (*.f64 z (-.f64 y x))) |
(fma.f64 z (-.f64 y x) x) |
(*.f64 y z) |
(*.f64 z y) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (fma.f64 y z x) (*.f64 z x)) |
(+.f64 x (*.f64 z (-.f64 y x))) |
(fma.f64 z (-.f64 y x) x) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (fma.f64 y z x) (*.f64 z x)) |
(+.f64 x (*.f64 z (-.f64 y x))) |
(fma.f64 z (-.f64 y x) x) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (fma.f64 y z x) (*.f64 z x)) |
(+.f64 x (*.f64 z (-.f64 y x))) |
(fma.f64 z (-.f64 y x) x) |
(*.f64 y z) |
(*.f64 z y) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (fma.f64 y z x) (*.f64 z x)) |
(+.f64 x (*.f64 z (-.f64 y x))) |
(fma.f64 z (-.f64 y x) x) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (fma.f64 y z x) (*.f64 z x)) |
(+.f64 x (*.f64 z (-.f64 y x))) |
(fma.f64 z (-.f64 y x) x) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (fma.f64 y z x) (*.f64 z x)) |
(+.f64 x (*.f64 z (-.f64 y x))) |
(fma.f64 z (-.f64 y x) x) |
x |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (fma.f64 y z x) (*.f64 z x)) |
(+.f64 x (*.f64 z (-.f64 y x))) |
(fma.f64 z (-.f64 y x) x) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (fma.f64 y z x) (*.f64 z x)) |
(+.f64 x (*.f64 z (-.f64 y x))) |
(fma.f64 z (-.f64 y x) x) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (fma.f64 y z x) (*.f64 z x)) |
(+.f64 x (*.f64 z (-.f64 y x))) |
(fma.f64 z (-.f64 y x) x) |
(*.f64 z (-.f64 y x)) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (fma.f64 y z x) (*.f64 z x)) |
(+.f64 x (*.f64 z (-.f64 y x))) |
(fma.f64 z (-.f64 y x) x) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (fma.f64 y z x) (*.f64 z x)) |
(+.f64 x (*.f64 z (-.f64 y x))) |
(fma.f64 z (-.f64 y x) x) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (fma.f64 y z x) (*.f64 z x)) |
(+.f64 x (*.f64 z (-.f64 y x))) |
(fma.f64 z (-.f64 y x) x) |
(*.f64 -1 (*.f64 (-.f64 x y) z)) |
(*.f64 z (-.f64 y x)) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (fma.f64 y z x) (*.f64 z x)) |
(+.f64 x (*.f64 z (-.f64 y x))) |
(fma.f64 z (-.f64 y x) x) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (fma.f64 y z x) (*.f64 z x)) |
(+.f64 x (*.f64 z (-.f64 y x))) |
(fma.f64 z (-.f64 y x) x) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (fma.f64 y z x) (*.f64 z x)) |
(+.f64 x (*.f64 z (-.f64 y x))) |
(fma.f64 z (-.f64 y x) x) |
(*.f64 y z) |
(*.f64 z y) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (fma.f64 y z x) (*.f64 z x)) |
(+.f64 x (*.f64 z (-.f64 y x))) |
(fma.f64 z (-.f64 y x) x) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (fma.f64 y z x) (*.f64 z x)) |
(+.f64 x (*.f64 z (-.f64 y x))) |
(fma.f64 z (-.f64 y x) x) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (fma.f64 y z x) (*.f64 z x)) |
(+.f64 x (*.f64 z (-.f64 y x))) |
(fma.f64 z (-.f64 y x) x) |
(*.f64 (-.f64 1 z) x) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (fma.f64 y z x) (*.f64 z x)) |
(+.f64 x (*.f64 z (-.f64 y x))) |
(fma.f64 z (-.f64 y x) x) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (fma.f64 y z x) (*.f64 z x)) |
(+.f64 x (*.f64 z (-.f64 y x))) |
(fma.f64 z (-.f64 y x) x) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (fma.f64 y z x) (*.f64 z x)) |
(+.f64 x (*.f64 z (-.f64 y x))) |
(fma.f64 z (-.f64 y x) x) |
(*.f64 -1 (*.f64 x (-.f64 z 1))) |
(*.f64 (-.f64 1 z) x) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (fma.f64 y z x) (*.f64 z x)) |
(+.f64 x (*.f64 z (-.f64 y x))) |
(fma.f64 z (-.f64 y x) x) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (fma.f64 y z x) (*.f64 z x)) |
(+.f64 x (*.f64 z (-.f64 y x))) |
(fma.f64 z (-.f64 y x) x) |
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x)) |
(-.f64 (fma.f64 y z x) (*.f64 z x)) |
(+.f64 x (*.f64 z (-.f64 y x))) |
(fma.f64 z (-.f64 y x) x) |
2 alts after pruning (0 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 79 | 0 | 79 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 79 | 2 | 81 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.0b | (fma.f64 y z (-.f64 x (*.f64 z x))) |
| ✓ | 0.0b | (fma.f64 z (neg.f64 x) (fma.f64 y z x)) |
Compiled 1083 to 316 computations (70.8% saved)
Total 0.0b remaining (85.4%)
Threshold costs 0.0b (85.4%)
Compiled 144 to 55 computations (61.8% saved)
| 1× | egg-herbie |
| 1× | +-commutative_binary64 |
| 1× | *-commutative_binary64 |
| 1× | sub-neg_binary64 |
| 1× | neg-sub0_binary64 |
| 1× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 11 |
| 1 | 11 | 11 |
| 2 | 13 | 11 |
| 3 | 14 | 11 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 z (neg.f64 x) (fma.f64 y z x)) |
| Outputs |
|---|
(fma.f64 z (neg.f64 x) (fma.f64 y z x)) |
| 1× | done |
Compiled 44 to 24 computations (45.5% saved)
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