Linear.Matrix:fromQuaternion from linear-1.19.1.3, B
Time bar (total: 1.8s)
| 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 12 to 8 computations (33.3% saved)
| 927.0ms | 5970× | body | 256 | valid |
| 258.0ms | 2286× | body | 256 | infinite |
| 2× | egg-herbie |
| 60× | fma-def |
| 42× | *-commutative |
| 16× | distribute-rgt-in |
| 16× | associate-*r* |
| 16× | associate-*l* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 38 |
| 1 | 41 | 38 |
| 2 | 81 | 38 |
| 3 | 136 | 38 |
| 4 | 140 | 38 |
| 0 | 2 | 2 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
1 |
| Outputs |
|---|
0 |
1 |
| Inputs |
|---|
(*.f64 2 (+.f64 (*.f64 x x) (*.f64 x y))) |
(*.f64 2 (+.f64 (*.f64 y y) (*.f64 y x))) |
| Outputs |
|---|
(*.f64 2 (+.f64 (*.f64 x x) (*.f64 x y))) |
(*.f64 2 (*.f64 x (+.f64 x y))) |
(*.f64 2 (+.f64 (*.f64 y y) (*.f64 y x))) |
(*.f64 2 (*.f64 y (+.f64 y x))) |
(*.f64 2 (*.f64 y (+.f64 x y))) |
Compiled 13 to 9 computations (30.8% saved)
| 1× | egg-herbie |
| 34× | fma-def |
| 26× | *-commutative |
| 10× | associate-*r* |
| 10× | associate-*l* |
| 8× | distribute-rgt-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 19 |
| 1 | 22 | 19 |
| 2 | 45 | 19 |
| 3 | 77 | 19 |
| 4 | 81 | 19 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 2 (+.f64 (*.f64 x x) (*.f64 x y))) |
| Outputs |
|---|
(*.f64 2 (+.f64 (*.f64 x x) (*.f64 x y))) |
(*.f64 2 (*.f64 x (+.f64 x y))) |
Compiled 18 to 11 computations (38.9% saved)
1 alts after pruning (1 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 1 | 2 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 2 | 1 | 3 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (*.f64 2 (*.f64 x (+.f64 x y))) |
| ▶ | 100.0% | (*.f64 2 (*.f64 x (+.f64 x y))) |
Compiled 18 to 12 computations (33.3% saved)
Found 1 expressions with local accuracy:
| New | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (*.f64 x (+.f64 x y)) |
Compiled 21 to 8 computations (61.9% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (*.f64 x (+.f64 x y)) |
| 0.0ms | y | @ | inf | (*.f64 x (+.f64 x y)) |
| 0.0ms | x | @ | inf | (*.f64 x (+.f64 x y)) |
| 0.0ms | x | @ | 0 | (*.f64 x (+.f64 x y)) |
| 0.0ms | y | @ | 0 | (*.f64 x (+.f64 x y)) |
| 1× | batch-egg-rewrite |
| 1484× | pow1 |
| 1378× | add-exp-log |
| 1378× | log1p-expm1-u |
| 1378× | expm1-log1p-u |
| 1352× | add-log-exp |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 13 |
| 1 | 132 | 13 |
| 2 | 1878 | 13 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 x (+.f64 x y)) |
| Outputs |
|---|
(+.f64 (*.f64 x x) (*.f64 x y)) |
(+.f64 (*.f64 x y) (*.f64 x x)) |
(+.f64 (*.f64 (*.f64 x x) 1) (*.f64 (*.f64 x y) 1)) |
(-.f64 (+.f64 1 (*.f64 x (+.f64 x y))) 1) |
(/.f64 (+.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 (*.f64 x x) (*.f64 x y))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x y) (*.f64 x y))) (-.f64 (*.f64 x x) (*.f64 x y))) |
(/.f64 (*.f64 x (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (*.f64 y (-.f64 y x)))) |
(/.f64 (*.f64 x (-.f64 (*.f64 x x) (*.f64 y y))) (-.f64 x y)) |
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) x) (fma.f64 x x (*.f64 y (-.f64 y x)))) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) x) (-.f64 x y)) |
(pow.f64 (*.f64 x (+.f64 x y)) 1) |
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 x y))) 3) |
(pow.f64 (pow.f64 (*.f64 x (+.f64 x y)) 3) 1/3) |
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 x y))) 2) |
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 x y)) 2)) |
(log.f64 (pow.f64 (exp.f64 x) (+.f64 x y))) |
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x y)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 x y)))) |
(exp.f64 (log.f64 (*.f64 x (+.f64 x y)))) |
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 x y)))) |
(fma.f64 x x (*.f64 x y)) |
| 1× | egg-herbie |
| 758× | times-frac |
| 716× | fma-def |
| 610× | associate-+r+ |
| 558× | associate-+l+ |
| 546× | associate-/r/ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 73 | 697 |
| 1 | 219 | 675 |
| 2 | 858 | 667 |
| 3 | 3908 | 667 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 y x) |
(+.f64 (*.f64 y x) (pow.f64 x 2)) |
(+.f64 (*.f64 y x) (pow.f64 x 2)) |
(+.f64 (*.f64 y x) (pow.f64 x 2)) |
(pow.f64 x 2) |
(+.f64 (*.f64 y x) (pow.f64 x 2)) |
(+.f64 (*.f64 y x) (pow.f64 x 2)) |
(+.f64 (*.f64 y x) (pow.f64 x 2)) |
(pow.f64 x 2) |
(+.f64 (*.f64 y x) (pow.f64 x 2)) |
(+.f64 (*.f64 y x) (pow.f64 x 2)) |
(+.f64 (*.f64 y x) (pow.f64 x 2)) |
(pow.f64 x 2) |
(+.f64 (*.f64 y x) (pow.f64 x 2)) |
(+.f64 (*.f64 y x) (pow.f64 x 2)) |
(+.f64 (*.f64 y x) (pow.f64 x 2)) |
(*.f64 y x) |
(+.f64 (*.f64 y x) (pow.f64 x 2)) |
(+.f64 (*.f64 y x) (pow.f64 x 2)) |
(+.f64 (*.f64 y x) (pow.f64 x 2)) |
(*.f64 y x) |
(+.f64 (*.f64 y x) (pow.f64 x 2)) |
(+.f64 (*.f64 y x) (pow.f64 x 2)) |
(+.f64 (*.f64 y x) (pow.f64 x 2)) |
(+.f64 (*.f64 x x) (*.f64 x y)) |
(+.f64 (*.f64 x y) (*.f64 x x)) |
(+.f64 (*.f64 (*.f64 x x) 1) (*.f64 (*.f64 x y) 1)) |
(-.f64 (+.f64 1 (*.f64 x (+.f64 x y))) 1) |
(/.f64 (+.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 (*.f64 x x) (*.f64 x y))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x y) (*.f64 x y))) (-.f64 (*.f64 x x) (*.f64 x y))) |
(/.f64 (*.f64 x (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (*.f64 y (-.f64 y x)))) |
(/.f64 (*.f64 x (-.f64 (*.f64 x x) (*.f64 y y))) (-.f64 x y)) |
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) x) (fma.f64 x x (*.f64 y (-.f64 y x)))) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) x) (-.f64 x y)) |
(pow.f64 (*.f64 x (+.f64 x y)) 1) |
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 x y))) 3) |
(pow.f64 (pow.f64 (*.f64 x (+.f64 x y)) 3) 1/3) |
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 x y))) 2) |
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 x y)) 2)) |
(log.f64 (pow.f64 (exp.f64 x) (+.f64 x y))) |
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x y)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 x y)))) |
(exp.f64 (log.f64 (*.f64 x (+.f64 x y)))) |
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 x y)))) |
(fma.f64 x x (*.f64 x y)) |
| Outputs |
|---|
(*.f64 y x) |
(+.f64 (*.f64 y x) (pow.f64 x 2)) |
(*.f64 x (+.f64 y x)) |
(+.f64 (*.f64 y x) (pow.f64 x 2)) |
(*.f64 x (+.f64 y x)) |
(+.f64 (*.f64 y x) (pow.f64 x 2)) |
(*.f64 x (+.f64 y x)) |
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 (*.f64 y x) (pow.f64 x 2)) |
(*.f64 x (+.f64 y x)) |
(+.f64 (*.f64 y x) (pow.f64 x 2)) |
(*.f64 x (+.f64 y x)) |
(+.f64 (*.f64 y x) (pow.f64 x 2)) |
(*.f64 x (+.f64 y x)) |
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 (*.f64 y x) (pow.f64 x 2)) |
(*.f64 x (+.f64 y x)) |
(+.f64 (*.f64 y x) (pow.f64 x 2)) |
(*.f64 x (+.f64 y x)) |
(+.f64 (*.f64 y x) (pow.f64 x 2)) |
(*.f64 x (+.f64 y x)) |
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 (*.f64 y x) (pow.f64 x 2)) |
(*.f64 x (+.f64 y x)) |
(+.f64 (*.f64 y x) (pow.f64 x 2)) |
(*.f64 x (+.f64 y x)) |
(+.f64 (*.f64 y x) (pow.f64 x 2)) |
(*.f64 x (+.f64 y x)) |
(*.f64 y x) |
(+.f64 (*.f64 y x) (pow.f64 x 2)) |
(*.f64 x (+.f64 y x)) |
(+.f64 (*.f64 y x) (pow.f64 x 2)) |
(*.f64 x (+.f64 y x)) |
(+.f64 (*.f64 y x) (pow.f64 x 2)) |
(*.f64 x (+.f64 y x)) |
(*.f64 y x) |
(+.f64 (*.f64 y x) (pow.f64 x 2)) |
(*.f64 x (+.f64 y x)) |
(+.f64 (*.f64 y x) (pow.f64 x 2)) |
(*.f64 x (+.f64 y x)) |
(+.f64 (*.f64 y x) (pow.f64 x 2)) |
(*.f64 x (+.f64 y x)) |
(+.f64 (*.f64 x x) (*.f64 x y)) |
(*.f64 x (+.f64 y x)) |
(+.f64 (*.f64 x y) (*.f64 x x)) |
(*.f64 x (+.f64 y x)) |
(+.f64 (*.f64 (*.f64 x x) 1) (*.f64 (*.f64 x y) 1)) |
(*.f64 x (+.f64 y x)) |
(-.f64 (+.f64 1 (*.f64 x (+.f64 x y))) 1) |
(*.f64 x (+.f64 y x)) |
(/.f64 (+.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 (*.f64 x x) (*.f64 x y))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 y x) 3)) (+.f64 (*.f64 x (pow.f64 x 3)) (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 x x))))) |
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 (*.f64 y x) 3)) (fma.f64 (*.f64 y x) (*.f64 x (-.f64 y x)) (pow.f64 x 4))) |
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 (*.f64 y x) 3)) (*.f64 (*.f64 x x) (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 (*.f64 y x) 3)) (*.f64 x (*.f64 x (fma.f64 y (-.f64 y x) (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x y) (*.f64 x y))) (-.f64 (*.f64 x x) (*.f64 x y))) |
(*.f64 x (+.f64 y x)) |
(/.f64 (*.f64 x (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (*.f64 y (-.f64 y x)))) |
(/.f64 x (/.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (+.f64 (pow.f64 x 3) (pow.f64 y 3)))) |
(*.f64 (/.f64 x (fma.f64 x x (*.f64 y (-.f64 y x)))) (+.f64 (pow.f64 x 3) (pow.f64 y 3))) |
(/.f64 (fma.f64 x (pow.f64 y 3) (pow.f64 x 4)) (fma.f64 y (-.f64 y x) (*.f64 x x))) |
(/.f64 (*.f64 x (-.f64 (*.f64 x x) (*.f64 y y))) (-.f64 x y)) |
(*.f64 x (+.f64 y x)) |
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) x) (fma.f64 x x (*.f64 y (-.f64 y x)))) |
(/.f64 x (/.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (+.f64 (pow.f64 x 3) (pow.f64 y 3)))) |
(*.f64 (/.f64 x (fma.f64 x x (*.f64 y (-.f64 y x)))) (+.f64 (pow.f64 x 3) (pow.f64 y 3))) |
(/.f64 (fma.f64 x (pow.f64 y 3) (pow.f64 x 4)) (fma.f64 y (-.f64 y x) (*.f64 x x))) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) x) (-.f64 x y)) |
(*.f64 x (+.f64 y x)) |
(pow.f64 (*.f64 x (+.f64 x y)) 1) |
(*.f64 x (+.f64 y x)) |
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 x y))) 3) |
(*.f64 x (+.f64 y x)) |
(pow.f64 (pow.f64 (*.f64 x (+.f64 x y)) 3) 1/3) |
(*.f64 x (+.f64 y x)) |
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 x y))) 2) |
(*.f64 x (+.f64 y x)) |
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 x y)) 2)) |
(*.f64 x (+.f64 y x)) |
(log.f64 (pow.f64 (exp.f64 x) (+.f64 x y))) |
(*.f64 x (+.f64 y x)) |
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x y)) 3)) |
(*.f64 x (+.f64 y x)) |
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 x y)))) |
(*.f64 x (+.f64 y x)) |
(exp.f64 (log.f64 (*.f64 x (+.f64 x y)))) |
(*.f64 x (+.f64 y x)) |
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 x y)))) |
(*.f64 x (+.f64 y x)) |
(fma.f64 x x (*.f64 x y)) |
(*.f64 x (+.f64 y x)) |
Compiled 473 to 215 computations (54.5% saved)
4 alts after pruning (3 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 30 | 3 | 33 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 30 | 4 | 34 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 96.5% | (*.f64 2 (fma.f64 x x (*.f64 x y))) |
| ▶ | 58.1% | (*.f64 2 (*.f64 y x)) |
| ✓ | 100.0% | (*.f64 2 (*.f64 x (+.f64 x y))) |
| ▶ | 58.9% | (*.f64 2 (*.f64 x x)) |
| ▶ | 96.5% | (*.f64 2 (fma.f64 x x (*.f64 x y))) |
| ▶ | 58.1% | (*.f64 2 (*.f64 y x)) |
| ✓ | 100.0% | (*.f64 2 (*.f64 x (+.f64 x y))) |
| ▶ | 58.9% | (*.f64 2 (*.f64 x x)) |
Compiled 66 to 44 computations (33.3% saved)
Found 2 expressions with local accuracy:
| New | Accuracy | Program |
|---|---|---|
| ✓ | 96.5% | (fma.f64 x x (*.f64 x y)) |
| ✓ | 100.0% | (*.f64 2 (*.f64 x x)) |
Compiled 44 to 16 computations (63.6% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (fma.f64 x x (*.f64 x y)) |
| 0.0ms | x | @ | 0 | (*.f64 2 (*.f64 x x)) |
| 0.0ms | x | @ | inf | (*.f64 2 (*.f64 x x)) |
| 0.0ms | x | @ | inf | (fma.f64 x x (*.f64 x y)) |
| 0.0ms | x | @ | 0 | (fma.f64 x x (*.f64 x y)) |
| 1× | batch-egg-rewrite |
| 1800× | pow1 |
| 1642× | add-exp-log |
| 1642× | log1p-expm1-u |
| 1642× | expm1-log1p-u |
| 1604× | add-log-exp |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 28 |
| 1 | 199 | 26 |
| 2 | 2301 | 26 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 2 (*.f64 x x)) |
(fma.f64 x x (*.f64 x y)) |
| Outputs |
|---|
(-.f64 (+.f64 1 (*.f64 2 (*.f64 x x))) 1) |
(pow.f64 (*.f64 2 (*.f64 x x)) 1) |
(pow.f64 (cbrt.f64 (*.f64 2 (*.f64 x x))) 3) |
(pow.f64 (pow.f64 (*.f64 2 (*.f64 x x)) 3) 1/3) |
(pow.f64 (*.f64 x (sqrt.f64 2)) 2) |
(sqrt.f64 (*.f64 (pow.f64 x 4) 4)) |
(log.f64 (pow.f64 (exp.f64 2) (*.f64 x x))) |
(cbrt.f64 (pow.f64 (*.f64 2 (*.f64 x x)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 2 (*.f64 x x)))) |
(exp.f64 (log.f64 (*.f64 2 (*.f64 x x)))) |
(log1p.f64 (expm1.f64 (*.f64 2 (*.f64 x x)))) |
(+.f64 (*.f64 x x) (*.f64 x y)) |
(+.f64 (*.f64 x y) (*.f64 x x)) |
(-.f64 (+.f64 1 (*.f64 x (+.f64 x y))) 1) |
(*.f64 x (+.f64 x y)) |
(*.f64 (*.f64 x (+.f64 x y)) 1) |
(*.f64 1 (*.f64 x (+.f64 x y))) |
(*.f64 (cbrt.f64 (*.f64 x (+.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x y))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x y))) 2) (cbrt.f64 (*.f64 x (+.f64 x y)))) |
(*.f64 (sqrt.f64 (*.f64 x (+.f64 x y))) (sqrt.f64 (*.f64 x (+.f64 x y)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (*.f64 x x) (*.f64 x y))))) |
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 (*.f64 x y) 2)) (-.f64 (*.f64 x x) (*.f64 x y))) |
(pow.f64 (*.f64 x (+.f64 x y)) 1) |
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 x y))) 3) |
(pow.f64 (pow.f64 (*.f64 x (+.f64 x y)) 3) 1/3) |
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 x y))) 2) |
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 x y)) 2)) |
(log.f64 (exp.f64 (*.f64 x (+.f64 x y)))) |
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x y)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 x y)))) |
(exp.f64 (log.f64 (*.f64 x (+.f64 x y)))) |
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 x y)))) |
| 1× | egg-herbie |
| 1438× | times-frac |
| 872× | log-prod |
| 848× | associate-+r+ |
| 740× | associate-+l+ |
| 732× | unswap-sqr |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 81 | 920 |
| 1 | 219 | 908 |
| 2 | 872 | 898 |
| 3 | 3561 | 898 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 2 (pow.f64 x 2)) |
(*.f64 2 (pow.f64 x 2)) |
(*.f64 2 (pow.f64 x 2)) |
(*.f64 2 (pow.f64 x 2)) |
(*.f64 2 (pow.f64 x 2)) |
(*.f64 2 (pow.f64 x 2)) |
(*.f64 2 (pow.f64 x 2)) |
(*.f64 2 (pow.f64 x 2)) |
(*.f64 2 (pow.f64 x 2)) |
(*.f64 2 (pow.f64 x 2)) |
(*.f64 2 (pow.f64 x 2)) |
(*.f64 2 (pow.f64 x 2)) |
(*.f64 y x) |
(+.f64 (*.f64 y x) (pow.f64 x 2)) |
(+.f64 (*.f64 y x) (pow.f64 x 2)) |
(+.f64 (*.f64 y x) (pow.f64 x 2)) |
(pow.f64 x 2) |
(+.f64 (*.f64 y x) (pow.f64 x 2)) |
(+.f64 (*.f64 y x) (pow.f64 x 2)) |
(+.f64 (*.f64 y x) (pow.f64 x 2)) |
(pow.f64 x 2) |
(+.f64 (*.f64 y x) (pow.f64 x 2)) |
(+.f64 (*.f64 y x) (pow.f64 x 2)) |
(+.f64 (*.f64 y x) (pow.f64 x 2)) |
(pow.f64 x 2) |
(+.f64 (*.f64 y x) (pow.f64 x 2)) |
(+.f64 (*.f64 y x) (pow.f64 x 2)) |
(+.f64 (*.f64 y x) (pow.f64 x 2)) |
(*.f64 y x) |
(+.f64 (*.f64 y x) (pow.f64 x 2)) |
(+.f64 (*.f64 y x) (pow.f64 x 2)) |
(+.f64 (*.f64 y x) (pow.f64 x 2)) |
(*.f64 y x) |
(+.f64 (*.f64 y x) (pow.f64 x 2)) |
(+.f64 (*.f64 y x) (pow.f64 x 2)) |
(+.f64 (*.f64 y x) (pow.f64 x 2)) |
(-.f64 (+.f64 1 (*.f64 2 (*.f64 x x))) 1) |
(pow.f64 (*.f64 2 (*.f64 x x)) 1) |
(pow.f64 (cbrt.f64 (*.f64 2 (*.f64 x x))) 3) |
(pow.f64 (pow.f64 (*.f64 2 (*.f64 x x)) 3) 1/3) |
(pow.f64 (*.f64 x (sqrt.f64 2)) 2) |
(sqrt.f64 (*.f64 (pow.f64 x 4) 4)) |
(log.f64 (pow.f64 (exp.f64 2) (*.f64 x x))) |
(cbrt.f64 (pow.f64 (*.f64 2 (*.f64 x x)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 2 (*.f64 x x)))) |
(exp.f64 (log.f64 (*.f64 2 (*.f64 x x)))) |
(log1p.f64 (expm1.f64 (*.f64 2 (*.f64 x x)))) |
(+.f64 (*.f64 x x) (*.f64 x y)) |
(+.f64 (*.f64 x y) (*.f64 x x)) |
(-.f64 (+.f64 1 (*.f64 x (+.f64 x y))) 1) |
(*.f64 x (+.f64 x y)) |
(*.f64 (*.f64 x (+.f64 x y)) 1) |
(*.f64 1 (*.f64 x (+.f64 x y))) |
(*.f64 (cbrt.f64 (*.f64 x (+.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x y))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x y))) 2) (cbrt.f64 (*.f64 x (+.f64 x y)))) |
(*.f64 (sqrt.f64 (*.f64 x (+.f64 x y))) (sqrt.f64 (*.f64 x (+.f64 x y)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (*.f64 x x) (*.f64 x y))))) |
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 (*.f64 x y) 2)) (-.f64 (*.f64 x x) (*.f64 x y))) |
(pow.f64 (*.f64 x (+.f64 x y)) 1) |
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 x y))) 3) |
(pow.f64 (pow.f64 (*.f64 x (+.f64 x y)) 3) 1/3) |
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 x y))) 2) |
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 x y)) 2)) |
(log.f64 (exp.f64 (*.f64 x (+.f64 x y)))) |
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x y)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 x y)))) |
(exp.f64 (log.f64 (*.f64 x (+.f64 x y)))) |
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 x y)))) |
| Outputs |
|---|
(*.f64 2 (pow.f64 x 2)) |
(*.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x 2)) |
(*.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x 2)) |
(*.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x 2)) |
(*.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x 2)) |
(*.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x 2)) |
(*.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x 2)) |
(*.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x 2)) |
(*.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x 2)) |
(*.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x 2)) |
(*.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x 2)) |
(*.f64 2 (*.f64 x x)) |
(*.f64 2 (pow.f64 x 2)) |
(*.f64 2 (*.f64 x x)) |
(*.f64 y x) |
(*.f64 x y) |
(+.f64 (*.f64 y x) (pow.f64 x 2)) |
(*.f64 x (+.f64 x y)) |
(+.f64 (*.f64 y x) (pow.f64 x 2)) |
(*.f64 x (+.f64 x y)) |
(+.f64 (*.f64 y x) (pow.f64 x 2)) |
(*.f64 x (+.f64 x y)) |
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 (*.f64 y x) (pow.f64 x 2)) |
(*.f64 x (+.f64 x y)) |
(+.f64 (*.f64 y x) (pow.f64 x 2)) |
(*.f64 x (+.f64 x y)) |
(+.f64 (*.f64 y x) (pow.f64 x 2)) |
(*.f64 x (+.f64 x y)) |
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 (*.f64 y x) (pow.f64 x 2)) |
(*.f64 x (+.f64 x y)) |
(+.f64 (*.f64 y x) (pow.f64 x 2)) |
(*.f64 x (+.f64 x y)) |
(+.f64 (*.f64 y x) (pow.f64 x 2)) |
(*.f64 x (+.f64 x y)) |
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 (*.f64 y x) (pow.f64 x 2)) |
(*.f64 x (+.f64 x y)) |
(+.f64 (*.f64 y x) (pow.f64 x 2)) |
(*.f64 x (+.f64 x y)) |
(+.f64 (*.f64 y x) (pow.f64 x 2)) |
(*.f64 x (+.f64 x y)) |
(*.f64 y x) |
(*.f64 x y) |
(+.f64 (*.f64 y x) (pow.f64 x 2)) |
(*.f64 x (+.f64 x y)) |
(+.f64 (*.f64 y x) (pow.f64 x 2)) |
(*.f64 x (+.f64 x y)) |
(+.f64 (*.f64 y x) (pow.f64 x 2)) |
(*.f64 x (+.f64 x y)) |
(*.f64 y x) |
(*.f64 x y) |
(+.f64 (*.f64 y x) (pow.f64 x 2)) |
(*.f64 x (+.f64 x y)) |
(+.f64 (*.f64 y x) (pow.f64 x 2)) |
(*.f64 x (+.f64 x y)) |
(+.f64 (*.f64 y x) (pow.f64 x 2)) |
(*.f64 x (+.f64 x y)) |
(-.f64 (+.f64 1 (*.f64 2 (*.f64 x x))) 1) |
(*.f64 2 (*.f64 x x)) |
(pow.f64 (*.f64 2 (*.f64 x x)) 1) |
(*.f64 2 (*.f64 x x)) |
(pow.f64 (cbrt.f64 (*.f64 2 (*.f64 x x))) 3) |
(*.f64 2 (*.f64 x x)) |
(pow.f64 (pow.f64 (*.f64 2 (*.f64 x x)) 3) 1/3) |
(*.f64 2 (*.f64 x x)) |
(pow.f64 (*.f64 x (sqrt.f64 2)) 2) |
(*.f64 2 (*.f64 x x)) |
(sqrt.f64 (*.f64 (pow.f64 x 4) 4)) |
(*.f64 2 (*.f64 x x)) |
(log.f64 (pow.f64 (exp.f64 2) (*.f64 x x))) |
(*.f64 2 (*.f64 x x)) |
(cbrt.f64 (pow.f64 (*.f64 2 (*.f64 x x)) 3)) |
(*.f64 2 (*.f64 x x)) |
(expm1.f64 (log1p.f64 (*.f64 2 (*.f64 x x)))) |
(*.f64 2 (*.f64 x x)) |
(exp.f64 (log.f64 (*.f64 2 (*.f64 x x)))) |
(*.f64 2 (*.f64 x x)) |
(log1p.f64 (expm1.f64 (*.f64 2 (*.f64 x x)))) |
(*.f64 2 (*.f64 x x)) |
(+.f64 (*.f64 x x) (*.f64 x y)) |
(*.f64 x (+.f64 x y)) |
(+.f64 (*.f64 x y) (*.f64 x x)) |
(*.f64 x (+.f64 x y)) |
(-.f64 (+.f64 1 (*.f64 x (+.f64 x y))) 1) |
(*.f64 x (+.f64 x y)) |
(*.f64 x (+.f64 x y)) |
(*.f64 (*.f64 x (+.f64 x y)) 1) |
(*.f64 x (+.f64 x y)) |
(*.f64 1 (*.f64 x (+.f64 x y))) |
(*.f64 x (+.f64 x y)) |
(*.f64 (cbrt.f64 (*.f64 x (+.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x y))) 2)) |
(*.f64 x (+.f64 x y)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x y))) 2) (cbrt.f64 (*.f64 x (+.f64 x y)))) |
(*.f64 x (+.f64 x y)) |
(*.f64 (sqrt.f64 (*.f64 x (+.f64 x y))) (sqrt.f64 (*.f64 x (+.f64 x y)))) |
(*.f64 x (+.f64 x y)) |
(/.f64 (+.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (*.f64 x x) (*.f64 x y))))) |
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 y (pow.f64 x 3))))) |
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 (*.f64 x y) 3)) (fma.f64 (*.f64 x y) (*.f64 x (-.f64 y x)) (pow.f64 x 4))) |
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 (*.f64 x y) 2)) (-.f64 (*.f64 x x) (*.f64 x y))) |
(*.f64 x (+.f64 x y)) |
(pow.f64 (*.f64 x (+.f64 x y)) 1) |
(*.f64 x (+.f64 x y)) |
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 x y))) 3) |
(*.f64 x (+.f64 x y)) |
(pow.f64 (pow.f64 (*.f64 x (+.f64 x y)) 3) 1/3) |
(*.f64 x (+.f64 x y)) |
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 x y))) 2) |
(*.f64 x (+.f64 x y)) |
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 x y)) 2)) |
(*.f64 x (+.f64 x y)) |
(log.f64 (exp.f64 (*.f64 x (+.f64 x y)))) |
(*.f64 x (+.f64 x y)) |
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x y)) 3)) |
(*.f64 x (+.f64 x y)) |
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 x y)))) |
(*.f64 x (+.f64 x y)) |
(exp.f64 (log.f64 (*.f64 x (+.f64 x y)))) |
(*.f64 x (+.f64 x y)) |
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 x y)))) |
(*.f64 x (+.f64 x y)) |
Compiled 422 to 215 computations (49.1% saved)
4 alts after pruning (0 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 41 | 0 | 41 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 3 | 3 |
| Done | 0 | 1 | 1 |
| Total | 41 | 4 | 45 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 96.5% | (*.f64 2 (fma.f64 x x (*.f64 x y))) |
| ✓ | 58.1% | (*.f64 2 (*.f64 y x)) |
| ✓ | 100.0% | (*.f64 2 (*.f64 x (+.f64 x y))) |
| ✓ | 58.9% | (*.f64 2 (*.f64 x x)) |
Compiled 69 to 41 computations (40.6% saved)
| Inputs |
|---|
(*.f64 2 (*.f64 x x)) |
(*.f64 2 (*.f64 y x)) |
(*.f64 2 (*.f64 x (+.f64 x y))) |
(*.f64 2 (+.f64 (*.f64 x x) (*.f64 x y))) |
(*.f64 2 (fma.f64 x x (*.f64 x y))) |
| Outputs |
|---|
(*.f64 2 (*.f64 x (+.f64 x y))) |
4 calls:
| 5.0ms | (*.f64 2 (+.f64 (*.f64 x x) (*.f64 x y))) |
| 4.0ms | y |
| 4.0ms | x |
| 4.0ms | (+.f64 (*.f64 x x) (*.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | (*.f64 2 (+.f64 (*.f64 x x) (*.f64 x y))) |
| 100.0% | 1 | (+.f64 (*.f64 x x) (*.f64 x y)) |
Compiled 62 to 35 computations (43.5% saved)
| Inputs |
|---|
(*.f64 2 (*.f64 x x)) |
(*.f64 2 (*.f64 y x)) |
| Outputs |
|---|
(*.f64 2 (*.f64 y x)) |
(*.f64 2 (*.f64 x x)) |
(*.f64 2 (*.f64 y x)) |
2 calls:
| 10.0ms | x |
| 9.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.3% | 3 | x |
| 86.9% | 3 | y |
Compiled 18 to 12 computations (33.3% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
(*.f64 2 (*.f64 x x)) |
| Outputs |
|---|
(*.f64 2 (*.f64 x x)) |
2 calls:
| 5.0ms | x |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 58.9% | 1 | x |
| 58.9% | 1 | y |
Compiled 13 to 9 computations (30.8% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 2.402051181143884e+69 | 1.75682481746076e+84 |
| 10.0ms | -11956302682395102.0 | -988559005345858.8 |
| 17.0ms | 189× | body | 256 | valid |
| 6.0ms | 67× | body | 256 | infinite |
Compiled 272 to 203 computations (25.4% saved)
| 1× | egg-herbie |
| 10× | *-commutative |
| 2× | +-commutative |
| 2× | if-if-or-not |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 83 |
| 1 | 32 | 83 |
| 1× | done |
| 1× | saturated |
| Inputs |
|---|
(*.f64 2 (*.f64 x (+.f64 x y))) |
(if (<=.f64 y -4000000000000000) (*.f64 2 (*.f64 y x)) (if (<=.f64 y 67999999999999994201236097871226389027617572462982515072758459653668219125760) (*.f64 2 (*.f64 x x)) (*.f64 2 (*.f64 y x)))) |
(*.f64 2 (*.f64 x x)) |
| Outputs |
|---|
(*.f64 2 (*.f64 x (+.f64 x y))) |
(if (<=.f64 y -4000000000000000) (*.f64 2 (*.f64 y x)) (if (<=.f64 y 67999999999999994201236097871226389027617572462982515072758459653668219125760) (*.f64 2 (*.f64 x x)) (*.f64 2 (*.f64 y x)))) |
(if (or (<=.f64 y -4000000000000000) (not (<=.f64 y 67999999999999994201236097871226389027617572462982515072758459653668219125760))) (*.f64 2 (*.f64 x y)) (*.f64 2 (*.f64 x x))) |
(*.f64 2 (*.f64 x x)) |
Compiled 37 to 26 computations (29.7% saved)
| 758× | times-frac |
| 716× | fma-def |
| 610× | associate-+r+ |
| 558× | associate-+l+ |
| 546× | associate-/r/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 19 |
| 1 | 22 | 19 |
| 2 | 45 | 19 |
| 3 | 77 | 19 |
| 4 | 81 | 19 |
| 0 | 73 | 697 |
| 1 | 219 | 675 |
| 2 | 858 | 667 |
| 3 | 3908 | 667 |
| 1× | node limit |
| 1× | saturated |
Compiled 30 to 20 computations (33.3% saved)
Compiled 106 to 68 computations (35.8% saved)
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