Time bar (total: 4.0s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 4 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 5 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 6 |
| 12.5% | 12.5% | 87.4% | 0.1% | 0% | 0% | 0% | 7 |
| 18.8% | 18.7% | 81.1% | 0.1% | 0% | 0% | 0% | 8 |
| 25.6% | 25% | 72.5% | 0.1% | 2.3% | 0% | 0% | 9 |
| 38.6% | 37.4% | 59.7% | 0.1% | 2.7% | 0% | 0% | 10 |
| 46.4% | 44.5% | 51.3% | 0.1% | 4.1% | 0% | 0% | 11 |
| 53.7% | 50.3% | 43.4% | 0.1% | 6.1% | 0% | 0% | 12 |
Compiled 13 to 9 computations (30.8% saved)
| 1.0s | 8256× | body | 256 | valid |
| 66.0ms | 571× | body | 256 | infinite |
| 2× | egg-herbie |
| 50× | +-commutative |
| 44× | fma-def |
| 16× | associate-+l+ |
| 8× | associate-+r+ |
| 6× | *-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 100 |
| 1 | 41 | 84 |
| 2 | 79 | 84 |
| 3 | 93 | 84 |
| 0 | 3 | 3 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
1 |
2 |
| Outputs |
|---|
0 |
1 |
2 |
| Inputs |
|---|
(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z) |
(+.f64 (+.f64 (/.f64 y 2) (*.f64 x y)) z) |
(+.f64 (+.f64 (/.f64 z 2) (*.f64 y z)) x) |
(+.f64 (+.f64 (/.f64 x 2) (*.f64 z x)) y) |
| Outputs |
|---|
(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z) |
(+.f64 (/.f64 x 2) (+.f64 (*.f64 x y) z)) |
(+.f64 (/.f64 x 2) (fma.f64 x y z)) |
(+.f64 (+.f64 (/.f64 y 2) (*.f64 x y)) z) |
(+.f64 z (+.f64 (*.f64 x y) (/.f64 y 2))) |
(+.f64 z (fma.f64 x y (/.f64 y 2))) |
(+.f64 (+.f64 (/.f64 z 2) (*.f64 y z)) x) |
(+.f64 x (+.f64 (/.f64 z 2) (*.f64 y z))) |
(+.f64 x (fma.f64 y z (/.f64 z 2))) |
(+.f64 (+.f64 (/.f64 x 2) (*.f64 z x)) y) |
(+.f64 (/.f64 x 2) (+.f64 (*.f64 x z) y)) |
(+.f64 (/.f64 x 2) (fma.f64 x z y)) |
Compiled 15 to 11 computations (26.7% saved)
| 1× | egg-herbie |
| 12× | fma-def |
| 12× | +-commutative |
| 4× | associate-+l+ |
| 2× | associate-+r+ |
| 2× | *-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 25 |
| 1 | 15 | 21 |
| 2 | 26 | 21 |
| 3 | 29 | 21 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z) |
| Outputs |
|---|
(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z) |
(+.f64 (/.f64 x 2) (+.f64 (*.f64 x y) z)) |
(+.f64 (/.f64 x 2) (fma.f64 x y z)) |
Compiled 29 to 17 computations (41.4% saved)
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 2 | 3 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 2 | 2 | 4 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0b | (+.f64 (/.f64 x 2) (fma.f64 x y z)) |
| ▶ | 0.0b | (+.f64 (/.f64 x 2) (+.f64 (*.f64 x y) z)) |
Compiled 23 to 15 computations (34.8% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 x y) z) |
Compiled 27 to 11 computations (59.3% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | z | @ | inf | (+.f64 (*.f64 x y) z) |
| 0.0ms | x | @ | inf | (+.f64 (*.f64 x y) z) |
| 0.0ms | y | @ | 0 | (+.f64 (*.f64 x y) z) |
| 0.0ms | x | @ | 0 | (+.f64 (*.f64 x y) z) |
| 0.0ms | y | @ | inf | (+.f64 (*.f64 x y) z) |
| 1× | batch-egg-rewrite |
| 1644× | add-sqr-sqrt |
| 1628× | *-un-lft-identity |
| 1516× | add-cube-cbrt |
| 1500× | add-cbrt-cube |
| 160× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 9 |
| 1 | 150 | 9 |
| 2 | 2000 | 9 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 x y) z) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x y z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 x y) 2) (-.f64 (*.f64 x y) z)) (/.f64 (*.f64 z z) (-.f64 (*.f64 x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x y z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x y z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x y z)) (sqrt.f64 (fma.f64 x y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x y z)) (pow.f64 (cbrt.f64 (fma.f64 x y z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x y z)) 2) (cbrt.f64 (fma.f64 x y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 z z)) (/.f64 1 (-.f64 (*.f64 x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 z 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 z (-.f64 z (*.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 x y) z) (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 z (-.f64 z (*.f64 x y)))) (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 z 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 z z)) (-.f64 (*.f64 x y) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 z 3)) (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 z (-.f64 z (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 z 3)) (+.f64 (*.f64 z z) (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 z z) (pow.f64 (*.f64 x y) 2)) (-.f64 z (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 z z))) (neg.f64 (-.f64 (*.f64 x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 z 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 z (-.f64 z (*.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x y z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x y z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x y z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x y z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x y z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x y z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x y z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x y z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x y z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x y z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x y z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x y z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y x z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x y) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 z (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 z z)) (cbrt.f64 z) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (cbrt.f64 (*.f64 x y)) z))))) |
| 1× | egg-herbie |
| 1348× | associate-*r* |
| 1214× | associate-*l* |
| 780× | associate-+r+ |
| 666× | distribute-lft-neg-in |
| 622× | distribute-rgt-neg-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 94 | 1159 |
| 1 | 223 | 1109 |
| 2 | 842 | 1109 |
| 3 | 4920 | 1109 |
| 1× | node limit |
| Inputs |
|---|
z |
(+.f64 (*.f64 y x) z) |
(+.f64 (*.f64 y x) z) |
(+.f64 (*.f64 y x) z) |
(*.f64 y x) |
(+.f64 (*.f64 y x) z) |
(+.f64 (*.f64 y x) z) |
(+.f64 (*.f64 y x) z) |
(*.f64 y x) |
(+.f64 (*.f64 y x) z) |
(+.f64 (*.f64 y x) z) |
(+.f64 (*.f64 y x) z) |
z |
(+.f64 (*.f64 y x) z) |
(+.f64 (*.f64 y x) z) |
(+.f64 (*.f64 y x) z) |
(*.f64 y x) |
(+.f64 (*.f64 y x) z) |
(+.f64 (*.f64 y x) z) |
(+.f64 (*.f64 y x) z) |
(*.f64 y x) |
(+.f64 (*.f64 y x) z) |
(+.f64 (*.f64 y x) z) |
(+.f64 (*.f64 y x) z) |
(*.f64 y x) |
(+.f64 (*.f64 y x) z) |
(+.f64 (*.f64 y x) z) |
(+.f64 (*.f64 y x) z) |
z |
(+.f64 (*.f64 y x) z) |
(+.f64 (*.f64 y x) z) |
(+.f64 (*.f64 y x) z) |
z |
(+.f64 (*.f64 y x) z) |
(+.f64 (*.f64 y x) z) |
(+.f64 (*.f64 y x) z) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x y z))) 1) |
(-.f64 (/.f64 (pow.f64 (*.f64 x y) 2) (-.f64 (*.f64 x y) z)) (/.f64 (*.f64 z z) (-.f64 (*.f64 x y) z))) |
(*.f64 (fma.f64 x y z) 1) |
(*.f64 1 (fma.f64 x y z)) |
(*.f64 (sqrt.f64 (fma.f64 x y z)) (sqrt.f64 (fma.f64 x y z))) |
(*.f64 (cbrt.f64 (fma.f64 x y z)) (pow.f64 (cbrt.f64 (fma.f64 x y z)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x y z)) 2) (cbrt.f64 (fma.f64 x y z))) |
(*.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 z z)) (/.f64 1 (-.f64 (*.f64 x y) z))) |
(*.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 z 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 z (-.f64 z (*.f64 x y)))))) |
(/.f64 1 (/.f64 (-.f64 (*.f64 x y) z) (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 z z)))) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 z (-.f64 z (*.f64 x y)))) (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 z 3)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 z z)) (-.f64 (*.f64 x y) z)) |
(/.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 z 3)) (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 z (-.f64 z (*.f64 x y))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 z 3)) (+.f64 (*.f64 z z) (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x (*.f64 y z))))) |
(/.f64 (-.f64 (*.f64 z z) (pow.f64 (*.f64 x y) 2)) (-.f64 z (*.f64 x y))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 z z))) (neg.f64 (-.f64 (*.f64 x y) z))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 z 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 z (-.f64 z (*.f64 x y)))))) |
(pow.f64 (fma.f64 x y z) 1) |
(pow.f64 (sqrt.f64 (fma.f64 x y z)) 2) |
(pow.f64 (cbrt.f64 (fma.f64 x y z)) 3) |
(pow.f64 (pow.f64 (fma.f64 x y z) 3) 1/3) |
(sqrt.f64 (pow.f64 (fma.f64 x y z) 2)) |
(log.f64 (exp.f64 (fma.f64 x y z))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x y z)))) |
(cbrt.f64 (pow.f64 (fma.f64 x y z) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 x y z))) |
(exp.f64 (log.f64 (fma.f64 x y z))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 x y z)) 1)) |
(log1p.f64 (expm1.f64 (fma.f64 x y z))) |
(fma.f64 x y z) |
(fma.f64 y x z) |
(fma.f64 1 (*.f64 x y) z) |
(fma.f64 1 z (*.f64 x y)) |
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 x y)) |
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) z) |
(fma.f64 (cbrt.f64 (*.f64 z z)) (cbrt.f64 z) (*.f64 x y)) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (cbrt.f64 (*.f64 x y)) z) |
| Outputs |
|---|
z |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(*.f64 y x) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(*.f64 y x) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
z |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(*.f64 y x) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(*.f64 y x) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(*.f64 y x) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
z |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
z |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x y z))) 1) |
(fma.f64 y x z) |
(-.f64 (/.f64 (pow.f64 (*.f64 x y) 2) (-.f64 (*.f64 x y) z)) (/.f64 (*.f64 z z) (-.f64 (*.f64 x y) z))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 z z)) (fma.f64 x y (neg.f64 z))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 z z)) (-.f64 (*.f64 y x) z)) |
(*.f64 (fma.f64 x y z) 1) |
(fma.f64 y x z) |
(*.f64 1 (fma.f64 x y z)) |
(fma.f64 y x z) |
(*.f64 (sqrt.f64 (fma.f64 x y z)) (sqrt.f64 (fma.f64 x y z))) |
(fma.f64 y x z) |
(*.f64 (cbrt.f64 (fma.f64 x y z)) (pow.f64 (cbrt.f64 (fma.f64 x y z)) 2)) |
(fma.f64 y x z) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x y z)) 2) (cbrt.f64 (fma.f64 x y z))) |
(fma.f64 y x z) |
(*.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 z z)) (/.f64 1 (-.f64 (*.f64 x y) z))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 z z)) (fma.f64 x y (neg.f64 z))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 z z)) (-.f64 (*.f64 y x) z)) |
(*.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 z 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 z (-.f64 z (*.f64 x y)))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 z 3)) 1) (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 z (-.f64 z (*.f64 y x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 z 3)) (fma.f64 z (-.f64 z (*.f64 y x)) (pow.f64 (*.f64 y x) 2))) |
(/.f64 1 (/.f64 (-.f64 (*.f64 x y) z) (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 z z)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 z z)) (fma.f64 x y (neg.f64 z))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 z z)) (-.f64 (*.f64 y x) z)) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 z (-.f64 z (*.f64 x y)))) (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 z 3)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 z 3)) 1) (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 z (-.f64 z (*.f64 y x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 z 3)) (fma.f64 z (-.f64 z (*.f64 y x)) (pow.f64 (*.f64 y x) 2))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 z z)) (-.f64 (*.f64 x y) z)) |
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 z z)) (fma.f64 x y (neg.f64 z))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 z z)) (-.f64 (*.f64 y x) z)) |
(/.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 z 3)) (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 z (-.f64 z (*.f64 x y))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 z 3)) 1) (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 z (-.f64 z (*.f64 y x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 z 3)) (fma.f64 z (-.f64 z (*.f64 y x)) (pow.f64 (*.f64 y x) 2))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 z 3)) (+.f64 (*.f64 z z) (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x (*.f64 y z))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 z 3)) 1) (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 z (-.f64 z (*.f64 y x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 z 3)) (fma.f64 z (-.f64 z (*.f64 y x)) (pow.f64 (*.f64 y x) 2))) |
(/.f64 (-.f64 (*.f64 z z) (pow.f64 (*.f64 x y) 2)) (-.f64 z (*.f64 x y))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 z z)) (fma.f64 x y (neg.f64 z))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 z z)) (-.f64 (*.f64 y x) z)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 z z))) (neg.f64 (-.f64 (*.f64 x y) z))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 z z)) (fma.f64 x y (neg.f64 z))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 z z)) (-.f64 (*.f64 y x) z)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 z 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 z (-.f64 z (*.f64 x y)))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 z 3)) 1) (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 z (-.f64 z (*.f64 y x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 z 3)) (fma.f64 z (-.f64 z (*.f64 y x)) (pow.f64 (*.f64 y x) 2))) |
(pow.f64 (fma.f64 x y z) 1) |
(fma.f64 y x z) |
(pow.f64 (sqrt.f64 (fma.f64 x y z)) 2) |
(fma.f64 y x z) |
(pow.f64 (cbrt.f64 (fma.f64 x y z)) 3) |
(fma.f64 y x z) |
(pow.f64 (pow.f64 (fma.f64 x y z) 3) 1/3) |
(fma.f64 y x z) |
(sqrt.f64 (pow.f64 (fma.f64 x y z) 2)) |
(fma.f64 y x z) |
(log.f64 (exp.f64 (fma.f64 x y z))) |
(fma.f64 y x z) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x y z)))) |
(fma.f64 y x z) |
(cbrt.f64 (pow.f64 (fma.f64 x y z) 3)) |
(fma.f64 y x z) |
(expm1.f64 (log1p.f64 (fma.f64 x y z))) |
(fma.f64 y x z) |
(exp.f64 (log.f64 (fma.f64 x y z))) |
(fma.f64 y x z) |
(exp.f64 (*.f64 (log.f64 (fma.f64 x y z)) 1)) |
(fma.f64 y x z) |
(log1p.f64 (expm1.f64 (fma.f64 x y z))) |
(fma.f64 y x z) |
(fma.f64 x y z) |
(fma.f64 y x z) |
(fma.f64 y x z) |
(fma.f64 1 (*.f64 x y) z) |
(fma.f64 y x z) |
(fma.f64 1 z (*.f64 x y)) |
(fma.f64 y x z) |
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 x y)) |
(fma.f64 y x z) |
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) z) |
(fma.f64 y x z) |
(fma.f64 (cbrt.f64 (*.f64 z z)) (cbrt.f64 z) (*.f64 x y)) |
(fma.f64 (cbrt.f64 (*.f64 z z)) (cbrt.f64 z) (*.f64 y x)) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (cbrt.f64 (*.f64 x y)) z) |
(fma.f64 y x z) |
Compiled 22 to 10 computations (54.5% saved)
Compiled 703 to 327 computations (53.5% saved)
4 alts after pruning (2 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 43 | 2 | 45 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 43 | 4 | 47 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0b | (+.f64 (/.f64 x 2) (fma.f64 x y z)) |
| ✓ | 0.0b | (+.f64 (/.f64 x 2) (+.f64 (*.f64 x y) z)) |
| ▶ | 27.0b | (+.f64 (/.f64 x 2) (*.f64 y x)) |
| ▶ | 16.8b | (+.f64 (/.f64 x 2) z) |
Compiled 41 to 28 computations (31.7% saved)
Compiled 14 to 9 computations (35.7% saved)
Compiled 19 to 10 computations (47.4% saved)
Compiled 3 to 3 computations (0% saved)
4 alts after pruning (0 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 3 | 3 |
| Total | 0 | 4 | 4 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0b | (+.f64 (/.f64 x 2) (fma.f64 x y z)) |
| ✓ | 0.0b | (+.f64 (/.f64 x 2) (+.f64 (*.f64 x y) z)) |
| ✓ | 27.0b | (+.f64 (/.f64 x 2) (*.f64 y x)) |
| ✓ | 16.8b | (+.f64 (/.f64 x 2) z) |
Compiled 41 to 28 computations (31.7% saved)
| Inputs |
|---|
(+.f64 (/.f64 x 2) z) |
(+.f64 (/.f64 x 2) (*.f64 y x)) |
(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z) |
(+.f64 (/.f64 x 2) (+.f64 (*.f64 x y) z)) |
(+.f64 (/.f64 x 2) (fma.f64 x y z)) |
| Outputs |
|---|
(+.f64 (/.f64 x 2) (fma.f64 x y z)) |
5 calls:
| 5.0ms | (+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z) |
| 5.0ms | x |
| 4.0ms | (+.f64 (/.f64 x 2) (*.f64 y x)) |
| 4.0ms | z |
| 4.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 0b | 1 | x |
| 0b | 1 | y |
| 0b | 1 | z |
| 0b | 1 | (+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z) |
| 0b | 1 | (+.f64 (/.f64 x 2) (*.f64 y x)) |
Compiled 75 to 47 computations (37.3% saved)
| Inputs |
|---|
(+.f64 (/.f64 x 2) z) |
(+.f64 (/.f64 x 2) (*.f64 y x)) |
(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z) |
(+.f64 (/.f64 x 2) (+.f64 (*.f64 x y) z)) |
| Outputs |
|---|
(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z) |
5 calls:
| 5.0ms | z |
| 4.0ms | x |
| 4.0ms | (+.f64 (/.f64 x 2) (*.f64 y x)) |
| 4.0ms | (+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) 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 2) (*.f64 y x)) z) |
| 0.0b | 1 | (+.f64 (/.f64 x 2) (*.f64 y x)) |
Compiled 67 to 43 computations (35.8% saved)
Total -35.9b remaining (-486.4%)
Threshold costs -35.9b (-486.4%)
| Inputs |
|---|
(+.f64 (/.f64 x 2) z) |
(+.f64 (/.f64 x 2) (*.f64 y x)) |
| Outputs |
|---|
(+.f64 (/.f64 x 2) (*.f64 y x)) |
(+.f64 (/.f64 x 2) z) |
(+.f64 (/.f64 x 2) (*.f64 y x)) |
(+.f64 (/.f64 x 2) z) |
(+.f64 (/.f64 x 2) (*.f64 y x)) |
(+.f64 (/.f64 x 2) z) |
(+.f64 (/.f64 x 2) (*.f64 y x)) |
4 calls:
| 21.0ms | y |
| 11.0ms | z |
| 11.0ms | (+.f64 (/.f64 x 2) (*.f64 y x)) |
| 8.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 11.5b | 3 | x |
| 7.4b | 7 | y |
| 9.0b | 3 | z |
| 9.3b | 3 | (+.f64 (/.f64 x 2) (*.f64 y x)) |
Compiled 37 to 26 computations (29.7% saved)
| 6× | binary-search |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 2.2483850023479435e+49 | 1.6119521303401493e+52 |
| 14.0ms | -4.7803112192069823e+33 | -5.656778147348723e+30 |
| 15.0ms | -1.3636869461279627e+63 | -2.443471191477934e+59 |
| 18.0ms | -6.173066651847895e+89 | -7.811757555581054e+74 |
| 18.0ms | -2.3498474645266884e+145 | -1.463536200691894e+137 |
| 25.0ms | -2.0843153966099584e+215 | -2.3605269665724144e+186 |
| 82.0ms | 864× | body | 256 | valid |
| 11.0ms | 120× | body | 256 | infinite |
Compiled 1098 to 823 computations (25% saved)
| 1× | egg-herbie |
| 16× | not-or |
| 14× | not-not |
| 14× | if-not |
| 10× | if-if-or-not |
| 8× | +-commutative |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 216 |
| 1 | 45 | 210 |
| 2 | 48 | 198 |
| 3 | 54 | 188 |
| 4 | 61 | 176 |
| 5 | 71 | 172 |
| 6 | 78 | 172 |
| 7 | 83 | 172 |
| 8 | 85 | 172 |
| 9 | 86 | 172 |
| 1× | done |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (/.f64 x 2) (fma.f64 x y z)) |
(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z) |
(if (<=.f64 y -155000000000000009762689188745783441596687950343193138570021237144296537251892344096623706177829047230081296274006203740414660117939543877349910463750102227974018749421557723472809137537024) (+.f64 (/.f64 x 2) (*.f64 y x)) (if (<=.f64 y -800000000000000047427040992651896029650899910136362630918800595863996622627791845216186372064144996553214337898347063585837577308116659208192) (+.f64 (/.f64 x 2) z) (if (<=.f64 y -3299999999999999978535258967999119334598838307068101874769644830409210462208) (+.f64 (/.f64 x 2) (*.f64 y x)) (if (<=.f64 y -17500000000000000898334483581245181494721249504603596757401600) (+.f64 (/.f64 x 2) z) (if (<=.f64 y -22000000000000001000411699871744) (+.f64 (/.f64 x 2) (*.f64 y x)) (if (<=.f64 y 2949999999999999913540398800121008885371686889717760) (+.f64 (/.f64 x 2) z) (+.f64 (/.f64 x 2) (*.f64 y x)))))))) |
(+.f64 (/.f64 x 2) z) |
| Outputs |
|---|
(+.f64 (/.f64 x 2) (fma.f64 x y z)) |
(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z) |
(+.f64 z (+.f64 (/.f64 x 2) (*.f64 x y))) |
(if (<=.f64 y -155000000000000009762689188745783441596687950343193138570021237144296537251892344096623706177829047230081296274006203740414660117939543877349910463750102227974018749421557723472809137537024) (+.f64 (/.f64 x 2) (*.f64 y x)) (if (<=.f64 y -800000000000000047427040992651896029650899910136362630918800595863996622627791845216186372064144996553214337898347063585837577308116659208192) (+.f64 (/.f64 x 2) z) (if (<=.f64 y -3299999999999999978535258967999119334598838307068101874769644830409210462208) (+.f64 (/.f64 x 2) (*.f64 y x)) (if (<=.f64 y -17500000000000000898334483581245181494721249504603596757401600) (+.f64 (/.f64 x 2) z) (if (<=.f64 y -22000000000000001000411699871744) (+.f64 (/.f64 x 2) (*.f64 y x)) (if (<=.f64 y 2949999999999999913540398800121008885371686889717760) (+.f64 (/.f64 x 2) z) (+.f64 (/.f64 x 2) (*.f64 y x)))))))) |
(if (<=.f64 y -155000000000000009762689188745783441596687950343193138570021237144296537251892344096623706177829047230081296274006203740414660117939543877349910463750102227974018749421557723472809137537024) (+.f64 (/.f64 x 2) (*.f64 x y)) (if (<=.f64 y -800000000000000047427040992651896029650899910136362630918800595863996622627791845216186372064144996553214337898347063585837577308116659208192) (+.f64 (/.f64 x 2) z) (if (<=.f64 y -3299999999999999978535258967999119334598838307068101874769644830409210462208) (+.f64 (/.f64 x 2) (*.f64 x y)) (if (<=.f64 y -17500000000000000898334483581245181494721249504603596757401600) (+.f64 (/.f64 x 2) z) (if (or (<=.f64 y -22000000000000001000411699871744) (not (<=.f64 y 2949999999999999913540398800121008885371686889717760))) (+.f64 (/.f64 x 2) (*.f64 x y)) (+.f64 (/.f64 x 2) z)))))) |
(if (<=.f64 y -155000000000000009762689188745783441596687950343193138570021237144296537251892344096623706177829047230081296274006203740414660117939543877349910463750102227974018749421557723472809137537024) (+.f64 (/.f64 x 2) (*.f64 x y)) (if (<=.f64 y -800000000000000047427040992651896029650899910136362630918800595863996622627791845216186372064144996553214337898347063585837577308116659208192) (+.f64 (/.f64 x 2) z) (if (<=.f64 y -3299999999999999978535258967999119334598838307068101874769644830409210462208) (+.f64 (/.f64 x 2) (*.f64 x y)) (if (or (<=.f64 y -17500000000000000898334483581245181494721249504603596757401600) (not (or (<=.f64 y -22000000000000001000411699871744) (not (<=.f64 y 2949999999999999913540398800121008885371686889717760))))) (+.f64 (/.f64 x 2) z) (+.f64 (/.f64 x 2) (*.f64 x y)))))) |
(if (<=.f64 y -155000000000000009762689188745783441596687950343193138570021237144296537251892344096623706177829047230081296274006203740414660117939543877349910463750102227974018749421557723472809137537024) (+.f64 (/.f64 x 2) (*.f64 x y)) (if (<=.f64 y -800000000000000047427040992651896029650899910136362630918800595863996622627791845216186372064144996553214337898347063585837577308116659208192) (+.f64 (/.f64 x 2) z) (if (or (<=.f64 y -3299999999999999978535258967999119334598838307068101874769644830409210462208) (not (or (<=.f64 y -17500000000000000898334483581245181494721249504603596757401600) (not (or (<=.f64 y -22000000000000001000411699871744) (not (<=.f64 y 2949999999999999913540398800121008885371686889717760))))))) (+.f64 (/.f64 x 2) (*.f64 x y)) (+.f64 (/.f64 x 2) z)))) |
(if (<=.f64 y -155000000000000009762689188745783441596687950343193138570021237144296537251892344096623706177829047230081296274006203740414660117939543877349910463750102227974018749421557723472809137537024) (+.f64 (/.f64 x 2) (*.f64 x y)) (if (or (<=.f64 y -800000000000000047427040992651896029650899910136362630918800595863996622627791845216186372064144996553214337898347063585837577308116659208192) (not (or (<=.f64 y -3299999999999999978535258967999119334598838307068101874769644830409210462208) (not (or (<=.f64 y -17500000000000000898334483581245181494721249504603596757401600) (and (not (<=.f64 y -22000000000000001000411699871744)) (<=.f64 y 2949999999999999913540398800121008885371686889717760))))))) (+.f64 (/.f64 x 2) z) (+.f64 (/.f64 x 2) (*.f64 x y)))) |
(if (or (<=.f64 y -155000000000000009762689188745783441596687950343193138570021237144296537251892344096623706177829047230081296274006203740414660117939543877349910463750102227974018749421557723472809137537024) (not (or (<=.f64 y -800000000000000047427040992651896029650899910136362630918800595863996622627791845216186372064144996553214337898347063585837577308116659208192) (not (or (<=.f64 y -3299999999999999978535258967999119334598838307068101874769644830409210462208) (and (not (<=.f64 y -17500000000000000898334483581245181494721249504603596757401600)) (or (<=.f64 y -22000000000000001000411699871744) (not (<=.f64 y 2949999999999999913540398800121008885371686889717760))))))))) (+.f64 (/.f64 x 2) (*.f64 x y)) (+.f64 (/.f64 x 2) z)) |
(if (or (<=.f64 y -155000000000000009762689188745783441596687950343193138570021237144296537251892344096623706177829047230081296274006203740414660117939543877349910463750102227974018749421557723472809137537024) (not (or (<=.f64 y -800000000000000047427040992651896029650899910136362630918800595863996622627791845216186372064144996553214337898347063585837577308116659208192) (and (not (<=.f64 y -3299999999999999978535258967999119334598838307068101874769644830409210462208)) (or (<=.f64 y -17500000000000000898334483581245181494721249504603596757401600) (and (not (<=.f64 y -22000000000000001000411699871744)) (<=.f64 y 2949999999999999913540398800121008885371686889717760))))))) (+.f64 (/.f64 x 2) (*.f64 x y)) (+.f64 (/.f64 x 2) z)) |
(if (or (<=.f64 y -155000000000000009762689188745783441596687950343193138570021237144296537251892344096623706177829047230081296274006203740414660117939543877349910463750102227974018749421557723472809137537024) (and (not (<=.f64 y -800000000000000047427040992651896029650899910136362630918800595863996622627791845216186372064144996553214337898347063585837577308116659208192)) (or (<=.f64 y -3299999999999999978535258967999119334598838307068101874769644830409210462208) (and (not (<=.f64 y -17500000000000000898334483581245181494721249504603596757401600)) (or (<=.f64 y -22000000000000001000411699871744) (not (<=.f64 y 2949999999999999913540398800121008885371686889717760))))))) (+.f64 (/.f64 x 2) (*.f64 x y)) (+.f64 (/.f64 x 2) z)) |
(+.f64 (/.f64 x 2) z) |
Compiled 73 to 52 computations (28.8% saved)
| 1× | egg-herbie |
| 12× | fma-def |
| 12× | +-commutative |
| 4× | associate-+l+ |
| 2× | associate-+r+ |
| 2× | *-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 25 |
| 1 | 15 | 21 |
| 2 | 26 | 21 |
| 3 | 29 | 21 |
| 1× | saturated |
Compiled 38 to 21 computations (44.7% saved)
Compiled 64 to 42 computations (34.4% saved)
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