
Time bar (total: 1.1s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 9 to 6 computations (33.3% saved)
| 541.0ms | 6510× | body | 256 | valid |
| 135.0ms | 1746× | body | 256 | infinite |
| 2× | egg-herbie |
| 24× | fma-def |
| 12× | *-commutative |
| 12× | distribute-rgt-in |
| 12× | distribute-lft-in |
| 6× | +-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 52 |
| 1 | 18 | 52 |
| 2 | 36 | 52 |
| 3 | 57 | 52 |
| 0 | 3 | 3 |
| 1 | 3 | 3 |
| 1× | unsound |
| 1× | saturated |
| Inputs |
|---|
0 |
1 |
2 |
| Outputs |
|---|
0 |
1 |
0 |
2 |
| Inputs |
|---|
(*.f64 (+.f64 x y) z) |
(*.f64 (+.f64 y x) z) |
(*.f64 (+.f64 z y) x) |
(*.f64 (+.f64 x z) y) |
| Outputs |
|---|
(*.f64 (+.f64 x y) z) |
(*.f64 z (+.f64 x y)) |
(*.f64 (+.f64 y x) z) |
(*.f64 z (+.f64 x y)) |
(*.f64 (+.f64 z y) x) |
(*.f64 x (+.f64 y z)) |
(*.f64 (+.f64 x z) y) |
(*.f64 y (+.f64 x z)) |
(sort x y)
Compiled 11 to 8 computations (27.3% saved)
| 1× | egg-herbie |
| 8× | fma-def |
| 6× | *-commutative |
| 4× | distribute-rgt-in |
| 4× | distribute-lft-in |
| 2× | +-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 13 |
| 1 | 9 | 13 |
| 2 | 17 | 13 |
| 3 | 24 | 13 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (+.f64 x y) z) |
| Outputs |
|---|
(*.f64 (+.f64 x y) z) |
Compiled 8 to 5 computations (37.5% saved)
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 1 | 1 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 2 | 2 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (*.f64 (+.f64 x y) z) |
| ▶ | 100.0% | (*.f64 (+.f64 x y) z) |
Compiled 16 to 10 computations (37.5% saved)
Found 1 expressions with local accuracy:
| New | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (*.f64 (+.f64 x y) z) |
Compiled 15 to 6 computations (60% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 21.0ms | x | @ | 0 | (*.f64 (+.f64 x y) z) |
| 0.0ms | z | @ | 0 | (*.f64 (+.f64 x y) z) |
| 0.0ms | x | @ | inf | (*.f64 (+.f64 x y) z) |
| 0.0ms | z | @ | inf | (*.f64 (+.f64 x y) z) |
| 0.0ms | x | @ | -inf | (*.f64 (+.f64 x y) z) |
| 1× | batch-egg-rewrite |
| 1626× | pow1 |
| 1502× | add-exp-log |
| 1502× | log1p-expm1-u |
| 1502× | expm1-log1p-u |
| 1472× | add-log-exp |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 13 |
| 1 | 148 | 13 |
| 2 | 2018 | 13 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (+.f64 x y) z) |
| Outputs |
|---|
(+.f64 (*.f64 z x) (*.f64 z y)) |
(+.f64 (*.f64 z y) (*.f64 z x)) |
(+.f64 (*.f64 x z) (*.f64 y z)) |
(+.f64 (*.f64 y z) (*.f64 x z)) |
(-.f64 (+.f64 1 (*.f64 (+.f64 x y) z)) 1) |
(/.f64 (*.f64 z (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (*.f64 y (-.f64 y x)))) |
(/.f64 (*.f64 z (-.f64 (*.f64 x x) (*.f64 y y))) (-.f64 x y)) |
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) z) (fma.f64 x x (*.f64 y (-.f64 y x)))) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) z) (-.f64 x y)) |
(pow.f64 (*.f64 (+.f64 x y) z) 1) |
(pow.f64 (cbrt.f64 (*.f64 (+.f64 x y) z)) 3) |
(pow.f64 (pow.f64 (*.f64 (+.f64 x y) z) 3) 1/3) |
(pow.f64 (sqrt.f64 (*.f64 (+.f64 x y) z)) 2) |
(sqrt.f64 (pow.f64 (*.f64 (+.f64 x y) z) 2)) |
(log.f64 (pow.f64 (exp.f64 z) (+.f64 x y))) |
(cbrt.f64 (pow.f64 (*.f64 (+.f64 x y) z) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 z 3))) |
(cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (+.f64 x y) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (+.f64 x y) z))) |
(exp.f64 (log.f64 (*.f64 (+.f64 x y) z))) |
(log1p.f64 (expm1.f64 (*.f64 (+.f64 x y) z))) |
| 1× | egg-herbie |
| 1222× | log-prod |
| 1204× | fma-def |
| 856× | *-commutative |
| 710× | associate-*r* |
| 642× | associate-*l* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 69 | 781 |
| 1 | 163 | 781 |
| 2 | 502 | 781 |
| 3 | 2966 | 781 |
| 4 | 6121 | 781 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 y z) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(*.f64 z x) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(*.f64 z x) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(*.f64 z x) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(*.f64 y z) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(*.f64 y z) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(*.f64 (+.f64 y x) z) |
(*.f64 (+.f64 y x) z) |
(*.f64 (+.f64 y x) z) |
(*.f64 (+.f64 y x) z) |
(*.f64 (+.f64 y x) z) |
(*.f64 (+.f64 y x) z) |
(*.f64 (+.f64 y x) z) |
(*.f64 (+.f64 y x) z) |
(*.f64 (+.f64 y x) z) |
(*.f64 (+.f64 y x) z) |
(*.f64 (+.f64 y x) z) |
(*.f64 (+.f64 y x) z) |
(+.f64 (*.f64 z x) (*.f64 z y)) |
(+.f64 (*.f64 z y) (*.f64 z x)) |
(+.f64 (*.f64 x z) (*.f64 y z)) |
(+.f64 (*.f64 y z) (*.f64 x z)) |
(-.f64 (+.f64 1 (*.f64 (+.f64 x y) z)) 1) |
(/.f64 (*.f64 z (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (*.f64 y (-.f64 y x)))) |
(/.f64 (*.f64 z (-.f64 (*.f64 x x) (*.f64 y y))) (-.f64 x y)) |
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) z) (fma.f64 x x (*.f64 y (-.f64 y x)))) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) z) (-.f64 x y)) |
(pow.f64 (*.f64 (+.f64 x y) z) 1) |
(pow.f64 (cbrt.f64 (*.f64 (+.f64 x y) z)) 3) |
(pow.f64 (pow.f64 (*.f64 (+.f64 x y) z) 3) 1/3) |
(pow.f64 (sqrt.f64 (*.f64 (+.f64 x y) z)) 2) |
(sqrt.f64 (pow.f64 (*.f64 (+.f64 x y) z) 2)) |
(log.f64 (pow.f64 (exp.f64 z) (+.f64 x y))) |
(cbrt.f64 (pow.f64 (*.f64 (+.f64 x y) z) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 z 3))) |
(cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (+.f64 x y) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (+.f64 x y) z))) |
(exp.f64 (log.f64 (*.f64 (+.f64 x y) z))) |
(log1p.f64 (expm1.f64 (*.f64 (+.f64 x y) z))) |
| Outputs |
|---|
(*.f64 y z) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(*.f64 z (+.f64 y x)) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(*.f64 z (+.f64 y x)) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(*.f64 z (+.f64 y x)) |
(*.f64 z x) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(*.f64 z (+.f64 y x)) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(*.f64 z (+.f64 y x)) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(*.f64 z (+.f64 y x)) |
(*.f64 z x) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(*.f64 z (+.f64 y x)) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(*.f64 z (+.f64 y x)) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(*.f64 z (+.f64 y x)) |
(*.f64 z x) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(*.f64 z (+.f64 y x)) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(*.f64 z (+.f64 y x)) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(*.f64 z (+.f64 y x)) |
(*.f64 y z) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(*.f64 z (+.f64 y x)) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(*.f64 z (+.f64 y x)) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(*.f64 z (+.f64 y x)) |
(*.f64 y z) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(*.f64 z (+.f64 y x)) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(*.f64 z (+.f64 y x)) |
(+.f64 (*.f64 y z) (*.f64 z x)) |
(*.f64 z (+.f64 y x)) |
(*.f64 (+.f64 y x) z) |
(*.f64 z (+.f64 y x)) |
(*.f64 (+.f64 y x) z) |
(*.f64 z (+.f64 y x)) |
(*.f64 (+.f64 y x) z) |
(*.f64 z (+.f64 y x)) |
(*.f64 (+.f64 y x) z) |
(*.f64 z (+.f64 y x)) |
(*.f64 (+.f64 y x) z) |
(*.f64 z (+.f64 y x)) |
(*.f64 (+.f64 y x) z) |
(*.f64 z (+.f64 y x)) |
(*.f64 (+.f64 y x) z) |
(*.f64 z (+.f64 y x)) |
(*.f64 (+.f64 y x) z) |
(*.f64 z (+.f64 y x)) |
(*.f64 (+.f64 y x) z) |
(*.f64 z (+.f64 y x)) |
(*.f64 (+.f64 y x) z) |
(*.f64 z (+.f64 y x)) |
(*.f64 (+.f64 y x) z) |
(*.f64 z (+.f64 y x)) |
(*.f64 (+.f64 y x) z) |
(*.f64 z (+.f64 y x)) |
(+.f64 (*.f64 z x) (*.f64 z y)) |
(*.f64 z (+.f64 y x)) |
(+.f64 (*.f64 z y) (*.f64 z x)) |
(*.f64 z (+.f64 y x)) |
(+.f64 (*.f64 x z) (*.f64 y z)) |
(*.f64 z (+.f64 y x)) |
(+.f64 (*.f64 y z) (*.f64 x z)) |
(*.f64 z (+.f64 y x)) |
(-.f64 (+.f64 1 (*.f64 (+.f64 x y) z)) 1) |
(*.f64 z (+.f64 y x)) |
(/.f64 (*.f64 z (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (*.f64 y (-.f64 y x)))) |
(/.f64 z (/.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (+.f64 (pow.f64 x 3) (pow.f64 y 3)))) |
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 z (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(/.f64 (*.f64 z (-.f64 (*.f64 x x) (*.f64 y y))) (-.f64 x y)) |
(*.f64 z (+.f64 y x)) |
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) z) (fma.f64 x x (*.f64 y (-.f64 y x)))) |
(/.f64 (*.f64 z (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (*.f64 y (-.f64 y x)))) |
(/.f64 z (/.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (+.f64 (pow.f64 x 3) (pow.f64 y 3)))) |
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 z (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) z) (-.f64 x y)) |
(*.f64 z (+.f64 y x)) |
(pow.f64 (*.f64 (+.f64 x y) z) 1) |
(*.f64 z (+.f64 y x)) |
(pow.f64 (cbrt.f64 (*.f64 (+.f64 x y) z)) 3) |
(*.f64 z (+.f64 y x)) |
(pow.f64 (pow.f64 (*.f64 (+.f64 x y) z) 3) 1/3) |
(*.f64 z (+.f64 y x)) |
(pow.f64 (sqrt.f64 (*.f64 (+.f64 x y) z)) 2) |
(*.f64 z (+.f64 y x)) |
(sqrt.f64 (pow.f64 (*.f64 (+.f64 x y) z) 2)) |
(*.f64 z (+.f64 y x)) |
(log.f64 (pow.f64 (exp.f64 z) (+.f64 x y))) |
(*.f64 z (+.f64 y x)) |
(cbrt.f64 (pow.f64 (*.f64 (+.f64 x y) z) 3)) |
(*.f64 z (+.f64 y x)) |
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 z 3))) |
(*.f64 z (+.f64 y x)) |
(cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (+.f64 x y) 3))) |
(*.f64 z (+.f64 y x)) |
(expm1.f64 (log1p.f64 (*.f64 (+.f64 x y) z))) |
(*.f64 z (+.f64 y x)) |
(exp.f64 (log.f64 (*.f64 (+.f64 x y) z))) |
(*.f64 z (+.f64 y x)) |
(log1p.f64 (expm1.f64 (*.f64 (+.f64 x y) z))) |
(*.f64 z (+.f64 y x)) |
Compiled 257 to 100 computations (61.1% saved)
3 alts after pruning (2 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 26 | 2 | 28 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 26 | 3 | 29 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (*.f64 (+.f64 x y) z) |
| ▶ | 53.9% | (*.f64 z x) |
| ▶ | 50.9% | (*.f64 y z) |
| ✓ | 100.0% | (*.f64 (+.f64 x y) z) |
| ▶ | 53.9% | (*.f64 z x) |
| ▶ | 50.9% | (*.f64 y z) |
Compiled 40 to 26 computations (35% saved)
Compiled 18 to 10 computations (44.4% saved)
Compiled 3 to 3 computations (0% saved)
3 alts after pruning (0 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 2 | 2 |
| Done | 0 | 1 | 1 |
| Total | 0 | 3 | 3 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (*.f64 (+.f64 x y) z) |
| ✓ | 53.9% | (*.f64 z x) |
| ✓ | 50.9% | (*.f64 y z) |
Compiled 34 to 20 computations (41.2% saved)
| Inputs |
|---|
(*.f64 y z) |
(*.f64 z x) |
(*.f64 (+.f64 x y) z) |
| Outputs |
|---|
(*.f64 (+.f64 x y) z) |
5 calls:
| 27.0ms | (+.f64 x y) |
| 3.0ms | z |
| 3.0ms | y |
| 3.0ms | x |
| 3.0ms | (*.f64 (+.f64 x y) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | z |
| 100.0% | 1 | (*.f64 (+.f64 x y) z) |
| 100.0% | 1 | (+.f64 x y) |
Compiled 40 to 25 computations (37.5% saved)
| Inputs |
|---|
(*.f64 y z) |
(*.f64 z x) |
| Outputs |
|---|
(*.f64 z x) |
(*.f64 y z) |
3 calls:
| 60.0ms | z |
| 17.0ms | y |
| 17.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.1% | 6 | x |
| 90.1% | 2 | y |
| 68.1% | 8 | z |
Compiled 21 to 14 computations (33.3% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
(*.f64 y z) |
| Outputs |
|---|
(*.f64 y z) |
3 calls:
| 3.0ms | z |
| 2.0ms | y |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.9% | 1 | z |
| 50.9% | 1 | x |
| 50.9% | 1 | y |
Compiled 18 to 13 computations (27.8% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 1.2072530350164542e-114 | 7.211156896930706e-112 |
| 11.0ms | 115× | body | 256 | valid |
| 1.0ms | 13× | body | 256 | infinite |
Compiled 126 to 90 computations (28.6% saved)
| 1× | egg-herbie |
| 6× | *-commutative |
| 2× | +-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 43 |
| 1 | 19 | 43 |
| 1× | done |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (+.f64 x y) z) |
(if (<=.f64 y 974766689339349/1353842624082429130653522550851115089568572790710847937094960732721983060451965636249987502980536903367866802227247837807116288) (*.f64 z x) (*.f64 y z)) |
(*.f64 y z) |
| Outputs |
|---|
(*.f64 (+.f64 x y) z) |
(if (<=.f64 y 974766689339349/1353842624082429130653522550851115089568572790710847937094960732721983060451965636249987502980536903367866802227247837807116288) (*.f64 z x) (*.f64 y z)) |
(if (<=.f64 y 974766689339349/1353842624082429130653522550851115089568572790710847937094960732721983060451965636249987502980536903367866802227247837807116288) (*.f64 x z) (*.f64 y z)) |
(*.f64 y z) |
Compiled 27 to 17 computations (37% saved)
(sort x y)
Compiled 74 to 40 computations (45.9% saved)
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