Time bar (total: 5.8s)
| 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 |
| 28.1% | 28.1% | 71.8% | 0.1% | 0% | 0% | 0% | 9 |
| 42.2% | 42.1% | 57.7% | 0.1% | 0% | 0% | 0% | 10 |
| 49.2% | 49.1% | 50.7% | 0.1% | 0% | 0% | 0% | 11 |
| 57.4% | 57.3% | 42.5% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 15 to 9 computations (40% saved)
| 1.1s | 7791× | body | 256 | valid |
| 66.0ms | 187× | body | 512 | valid |
| 64.0ms | 84× | body | 2048 | valid |
| 43.0ms | 194× | body | 1024 | valid |
| 1.0ms | 11× | body | 256 | infinite |
| 2× | egg-herbie |
| 372× | associate-+r+ |
| 308× | fma-def |
| 266× | +-commutative |
| 252× | associate-+l+ |
| 18× | *-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 124 |
| 1 | 67 | 100 |
| 2 | 194 | 84 |
| 3 | 448 | 84 |
| 4 | 632 | 68 |
| 5 | 667 | 68 |
| 6 | 684 | 68 |
| 7 | 684 | 68 |
| 0 | 3 | 3 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
1 |
2 |
| Outputs |
|---|
0 |
1 |
2 |
| Inputs |
|---|
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) |
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 y x) x) y) z) y) |
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 z y) y) z) x) z) |
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x z) z) x) y) x) |
| Outputs |
|---|
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) |
(+.f64 x (+.f64 (+.f64 x (+.f64 y y)) (+.f64 x z))) |
(+.f64 x (+.f64 (*.f64 2 (+.f64 x y)) z)) |
(+.f64 x (fma.f64 2 (+.f64 x y) z)) |
(+.f64 x (fma.f64 (+.f64 x y) 2 z)) |
(fma.f64 3 x (fma.f64 y 2 z)) |
(fma.f64 x 3 (fma.f64 y 2 z)) |
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 y x) x) y) z) y) |
(+.f64 (+.f64 x (+.f64 x (+.f64 y y))) (+.f64 y z)) |
(+.f64 (+.f64 y (*.f64 2 (+.f64 x y))) z) |
(+.f64 y (fma.f64 2 (+.f64 x y) z)) |
(+.f64 y (fma.f64 (+.f64 x y) 2 z)) |
(fma.f64 x 2 (fma.f64 3 y z)) |
(fma.f64 x 2 (fma.f64 y 3 z)) |
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 z y) y) z) x) z) |
(+.f64 z (+.f64 x (+.f64 z (+.f64 y (+.f64 y z))))) |
(+.f64 x (+.f64 (*.f64 2 (+.f64 y z)) z)) |
(+.f64 z (fma.f64 2 (+.f64 y z) x)) |
(+.f64 (fma.f64 y 2 x) (*.f64 3 z)) |
(fma.f64 3 z (fma.f64 y 2 x)) |
(fma.f64 z 3 (fma.f64 y 2 x)) |
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x z) z) x) y) x) |
(+.f64 x (+.f64 y (+.f64 x (+.f64 x (+.f64 z z))))) |
(+.f64 x (+.f64 y (*.f64 2 (+.f64 x z)))) |
(+.f64 x (fma.f64 2 (+.f64 x z) y)) |
(+.f64 x (fma.f64 (+.f64 x z) 2 y)) |
(fma.f64 z 2 (fma.f64 3 x y)) |
(fma.f64 x 3 (fma.f64 z 2 y)) |
Compiled 17 to 11 computations (35.3% saved)
| 1× | egg-herbie |
| 126× | associate-+r+ |
| 104× | fma-def |
| 100× | +-commutative |
| 84× | associate-+l+ |
| 8× | *-commutative |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 31 |
| 1 | 22 | 25 |
| 2 | 60 | 21 |
| 3 | 145 | 21 |
| 4 | 217 | 17 |
| 5 | 244 | 17 |
| 6 | 250 | 17 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) |
| Outputs |
|---|
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) |
(+.f64 x (+.f64 (+.f64 x (+.f64 y y)) (+.f64 x z))) |
(+.f64 x (+.f64 (*.f64 2 (+.f64 x y)) z)) |
(+.f64 x (fma.f64 2 (+.f64 x y) z)) |
(+.f64 x (fma.f64 (+.f64 x y) 2 z)) |
(fma.f64 y 2 (fma.f64 3 x z)) |
(fma.f64 x 3 (fma.f64 y 2 z)) |
Compiled 64 to 31 computations (51.6% saved)
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 5 | 2 | 7 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 6 | 2 | 8 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.0b | (fma.f64 x 3 (fma.f64 y 2 z)) |
| ▶ | 0.0b | (+.f64 x (+.f64 (*.f64 2 (+.f64 x y)) z)) |
Compiled 22 to 15 computations (31.8% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 x (+.f64 (*.f64 2 (+.f64 x y)) z)) |
Compiled 31 to 14 computations (54.8% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | -inf | (+.f64 x (+.f64 (*.f64 2 (+.f64 x y)) z)) |
| 0.0ms | x | @ | inf | (+.f64 x (+.f64 (*.f64 2 (+.f64 x y)) z)) |
| 0.0ms | x | @ | -inf | (+.f64 x (+.f64 (*.f64 2 (+.f64 x y)) z)) |
| 0.0ms | y | @ | inf | (+.f64 x (+.f64 (*.f64 2 (+.f64 x y)) z)) |
| 0.0ms | x | @ | 0 | (+.f64 x (+.f64 (*.f64 2 (+.f64 x y)) z)) |
| 1× | batch-egg-rewrite |
| 1840× | associate-*r/ |
| 1518× | associate-*l/ |
| 378× | associate-+l+ |
| 354× | associate-/r* |
| 312× | +-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 21 |
| 1 | 238 | 21 |
| 2 | 3496 | 21 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 x (+.f64 (*.f64 2 (+.f64 x y)) z)) |
| Outputs |
|---|
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(+.f64 x y) z) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 2 (+.f64 x y) z) 2))) (sqrt.f64 (+.f64 x (fma.f64 2 (+.f64 x y) z)))) (sqrt.f64 (-.f64 x (fma.f64 2 (+.f64 x y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 2 (+.f64 x y) z) 3))) (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 2 (+.f64 x y) z))) 2)) (cbrt.f64 (fma.f64 x x (*.f64 (fma.f64 2 (+.f64 x y) z) (-.f64 (fma.f64 2 (+.f64 x y) z) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 2 (+.f64 x y) z) 2))) (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 2 (+.f64 x y) z))) 2)) (cbrt.f64 (-.f64 x (fma.f64 2 (+.f64 x y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (pow.f64 (fma.f64 2 (+.f64 x y) z) 2) (pow.f64 (fma.f64 2 (+.f64 x y) z) 2))) (/.f64 1 (-.f64 x (fma.f64 2 (+.f64 x y) z)))) (+.f64 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x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 2 (+.f64 x y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 2 (+.f64 x y) z) 3)) 1) (fma.f64 x x (*.f64 (fma.f64 2 (+.f64 x y) z) (-.f64 (fma.f64 2 (+.f64 x y) z) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 2 (+.f64 x y) z) 3)) (sqrt.f64 (fma.f64 x x (*.f64 (fma.f64 2 (+.f64 x y) z) (-.f64 (fma.f64 2 (+.f64 x y) z) x))))) (sqrt.f64 (fma.f64 x x (*.f64 (fma.f64 2 (+.f64 x y) z) (-.f64 (fma.f64 2 (+.f64 x y) z) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 2 (+.f64 x y) z) 3)) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (fma.f64 2 (+.f64 x y) z) (-.f64 (fma.f64 2 (+.f64 x y) z) x)))) (cbrt.f64 (fma.f64 x x (*.f64 (fma.f64 2 (+.f64 x y) z) (-.f64 (fma.f64 2 (+.f64 x y) z) x)))))) (cbrt.f64 (fma.f64 x x (*.f64 (fma.f64 2 (+.f64 x y) z) (-.f64 (fma.f64 2 (+.f64 x y) z) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (fma.f64 2 (+.f64 x y) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (fma.f64 2 (+.f64 x y) z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (fma.f64 2 (+.f64 x y) z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (fma.f64 2 (+.f64 x y) z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (fma.f64 2 (+.f64 x y) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (fma.f64 2 (+.f64 x y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 x (fma.f64 2 (+.f64 x y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (fma.f64 2 (+.f64 x y) z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (fma.f64 2 (+.f64 x y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (fma.f64 2 (+.f64 x y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 x (fma.f64 2 (+.f64 x y) z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (fma.f64 2 (+.f64 x y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (fma.f64 2 (+.f64 x y) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 2 (+.f64 x y) z) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 2 (+.f64 x y) z)) (sqrt.f64 (fma.f64 2 (+.f64 x y) z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (fma.f64 2 (+.f64 x y) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (+.f64 x y) z)) 2) (cbrt.f64 (fma.f64 2 (+.f64 x y) z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (fma.f64 2 (+.f64 x y) z)))))) |
| 1× | egg-herbie |
| 1124× | times-frac |
| 1118× | associate-/l* |
| 782× | *-commutative |
| 680× | associate-/r* |
| 602× | unswap-sqr |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 248 | 5226 |
| 1 | 677 | 5100 |
| 2 | 2664 | 4882 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 2 y) z) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(*.f64 3 x) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(*.f64 3 x) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(+.f64 (*.f64 2 x) (+.f64 z x)) |
(+.f64 (*.f64 2 y) (+.f64 (*.f64 2 x) (+.f64 z x))) |
(+.f64 (*.f64 2 y) (+.f64 (*.f64 2 x) (+.f64 z x))) |
(+.f64 (*.f64 2 y) (+.f64 (*.f64 2 x) (+.f64 z x))) |
(*.f64 2 y) |
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x))) |
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x))) |
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x))) |
(*.f64 2 y) |
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x))) |
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x))) |
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x))) |
(+.f64 (*.f64 2 (+.f64 y x)) x) |
(+.f64 z (+.f64 (*.f64 2 (+.f64 y x)) x)) |
(+.f64 z (+.f64 (*.f64 2 (+.f64 y x)) x)) |
(+.f64 z (+.f64 (*.f64 2 (+.f64 y x)) x)) |
z |
(+.f64 (*.f64 2 (+.f64 y x)) (+.f64 z x)) |
(+.f64 (*.f64 2 (+.f64 y x)) (+.f64 z x)) |
(+.f64 (*.f64 2 (+.f64 y x)) (+.f64 z x)) |
z |
(+.f64 (*.f64 2 (+.f64 y x)) (+.f64 z x)) |
(+.f64 (*.f64 2 (+.f64 y x)) (+.f64 z x)) |
(+.f64 (*.f64 2 (+.f64 y x)) (+.f64 z x)) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (fma.f64 2 (+.f64 x y) z)))) 1) |
(-.f64 (exp.f64 (log1p.f64 z)) (-.f64 1 (+.f64 x (*.f64 2 (+.f64 x y))))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 (+.f64 x y)))) (-.f64 1 (+.f64 x z))) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 2 (+.f64 x y) z))) (-.f64 1 x)) |
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (fma.f64 2 (+.f64 x y) z))) |
(-.f64 (/.f64 (*.f64 (pow.f64 (+.f64 x y) 2) 4) (-.f64 (*.f64 2 (+.f64 x y)) z)) (-.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 2 (+.f64 x y)) z)) x)) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (fma.f64 2 (+.f64 x y) z))) (/.f64 (pow.f64 (fma.f64 2 (+.f64 x y) z) 2) (-.f64 x (fma.f64 2 (+.f64 x y) z)))) |
(-.f64 (+.f64 x (exp.f64 (log1p.f64 (fma.f64 2 (+.f64 x y) z)))) 1) |
(-.f64 (+.f64 x (/.f64 (*.f64 (pow.f64 (+.f64 x y) 2) 4) (-.f64 (*.f64 2 (+.f64 x y)) z))) (/.f64 (*.f64 z z) (-.f64 (*.f64 2 (+.f64 x y)) z))) |
(-.f64 (+.f64 (fma.f64 2 (+.f64 x y) z) (exp.f64 (log1p.f64 x))) 1) |
(-.f64 (+.f64 (+.f64 x (*.f64 2 (+.f64 x y))) (exp.f64 (log1p.f64 z))) 1) |
(-.f64 (+.f64 (+.f64 x z) (exp.f64 (log1p.f64 (*.f64 2 (+.f64 x y))))) 1) |
(-.f64 (+.f64 (*.f64 (+.f64 x (*.f64 2 (+.f64 x y))) 1) (exp.f64 (log1p.f64 z))) 1) |
(*.f64 (+.f64 x (fma.f64 2 (+.f64 x y) z)) 1) |
(*.f64 1 (+.f64 x (fma.f64 2 (+.f64 x y) z))) |
(*.f64 (sqrt.f64 (+.f64 x (fma.f64 2 (+.f64 x y) z))) (sqrt.f64 (+.f64 x (fma.f64 2 (+.f64 x y) z)))) |
(*.f64 (cbrt.f64 (+.f64 x (fma.f64 2 (+.f64 x y) z))) (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 2 (+.f64 x y) z))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 2 (+.f64 x y) z))) 2) (cbrt.f64 (+.f64 x (fma.f64 2 (+.f64 x y) z)))) |
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 2 (+.f64 x y) z) 2)) (/.f64 1 (-.f64 x (fma.f64 2 (+.f64 x y) z)))) |
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 2 (+.f64 x y) z) 3)) (/.f64 1 (fma.f64 x x (*.f64 (fma.f64 2 (+.f64 x y) z) (-.f64 (fma.f64 2 (+.f64 x y) z) x))))) |
(/.f64 1 (/.f64 (-.f64 x (fma.f64 2 (+.f64 x y) z)) (-.f64 (*.f64 x x) (pow.f64 (fma.f64 2 (+.f64 x y) z) 2)))) |
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (fma.f64 2 (+.f64 x y) z) (-.f64 (fma.f64 2 (+.f64 x y) z) x))) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 2 (+.f64 x y) z) 3)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 2 (+.f64 x y) z) 2)) (-.f64 x (fma.f64 2 (+.f64 x y) z))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 2 (+.f64 x y) z) 3)) (fma.f64 x x (*.f64 (fma.f64 2 (+.f64 x y) z) (-.f64 (fma.f64 2 (+.f64 x y) z) x)))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 2 (+.f64 x y) z) 2) (*.f64 x x)) (-.f64 (fma.f64 2 (+.f64 x y) z) x)) |
(/.f64 (-.f64 (*.f64 (+.f64 x (*.f64 2 (+.f64 x y))) (+.f64 x (*.f64 2 (+.f64 x y)))) (*.f64 z z)) (+.f64 x (-.f64 (*.f64 2 (+.f64 x y)) z))) |
(/.f64 (+.f64 (pow.f64 z 3) (pow.f64 (+.f64 x (*.f64 2 (+.f64 x y))) 3)) (+.f64 (*.f64 (+.f64 x (*.f64 2 (+.f64 x y))) (+.f64 x (*.f64 2 (+.f64 x y)))) (-.f64 (*.f64 z z) (*.f64 (+.f64 x (*.f64 2 (+.f64 x y))) z)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 2 (+.f64 x y) z) 2))) (neg.f64 (-.f64 x (fma.f64 2 (+.f64 x y) z)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 2 (+.f64 x y) z) 3))) (neg.f64 (fma.f64 x x (*.f64 (fma.f64 2 (+.f64 x y) z) (-.f64 (fma.f64 2 (+.f64 x y) z) x))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 2 (+.f64 x y) z) 3)) 1) (fma.f64 x x (*.f64 (fma.f64 2 (+.f64 x y) z) (-.f64 (fma.f64 2 (+.f64 x y) z) x)))) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 2 (+.f64 x y) z) 2)) 1) (-.f64 x (fma.f64 2 (+.f64 x y) z))) |
(/.f64 (*.f64 1 (-.f64 (pow.f64 (fma.f64 2 (+.f64 x y) z) 2) (*.f64 x x))) (-.f64 (fma.f64 2 (+.f64 x y) z) x)) |
(/.f64 (*.f64 1 (-.f64 (*.f64 (+.f64 x (*.f64 2 (+.f64 x y))) (+.f64 x (*.f64 2 (+.f64 x y)))) (*.f64 z z))) (+.f64 x (-.f64 (*.f64 2 (+.f64 x y)) z))) |
(/.f64 (*.f64 1 (+.f64 (pow.f64 z 3) (pow.f64 (+.f64 x (*.f64 2 (+.f64 x y))) 3))) (+.f64 (*.f64 (+.f64 x (*.f64 2 (+.f64 x y))) (+.f64 x (*.f64 2 (+.f64 x y)))) (-.f64 (*.f64 z z) (*.f64 (+.f64 x (*.f64 2 (+.f64 x y))) z)))) |
(/.f64 (*.f64 1 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 2 (+.f64 x y) z) 2)))) (neg.f64 (-.f64 x (fma.f64 2 (+.f64 x y) z)))) |
(/.f64 (*.f64 1 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 2 (+.f64 x y) z) 3)))) (neg.f64 (fma.f64 x x (*.f64 (fma.f64 2 (+.f64 x y) z) (-.f64 (fma.f64 2 (+.f64 x y) z) x))))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 x (fma.f64 2 (+.f64 x y) z))) (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 2 (+.f64 x y) z) 3)))) (sqrt.f64 (fma.f64 x x (*.f64 (fma.f64 2 (+.f64 x y) z) (-.f64 (fma.f64 2 (+.f64 x y) z) x))))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 x (fma.f64 2 (+.f64 x y) z))) (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 2 (+.f64 x y) z) 2)))) (sqrt.f64 (-.f64 x (fma.f64 2 (+.f64 x y) z)))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 2 (+.f64 x y) z))) 2) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 2 (+.f64 x y) z) 3)))) (cbrt.f64 (fma.f64 x x (*.f64 (fma.f64 2 (+.f64 x y) z) (-.f64 (fma.f64 2 (+.f64 x y) z) x))))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 2 (+.f64 x y) z))) 2) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 2 (+.f64 x y) z) 2)))) (cbrt.f64 (-.f64 x (fma.f64 2 (+.f64 x y) z)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 2 (+.f64 x y) z) 2) (*.f64 x x)) 1) (-.f64 (fma.f64 2 (+.f64 x y) z) x)) |
(/.f64 (*.f64 (-.f64 (*.f64 (+.f64 x (*.f64 2 (+.f64 x y))) (+.f64 x (*.f64 2 (+.f64 x y)))) (*.f64 z z)) 1) (+.f64 x (-.f64 (*.f64 2 (+.f64 x y)) z))) |
(/.f64 (*.f64 (+.f64 (pow.f64 z 3) (pow.f64 (+.f64 x (*.f64 2 (+.f64 x y))) 3)) 1) (+.f64 (*.f64 (+.f64 x (*.f64 2 (+.f64 x y))) (+.f64 x (*.f64 2 (+.f64 x y)))) (-.f64 (*.f64 z z) (*.f64 (+.f64 x (*.f64 2 (+.f64 x y))) z)))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 2 (+.f64 x y) z) 2))) 1) (neg.f64 (-.f64 x (fma.f64 2 (+.f64 x y) z)))) |
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 2 (+.f64 x y) z) 3))) 1) (neg.f64 (fma.f64 x x (*.f64 (fma.f64 2 (+.f64 x y) z) (-.f64 (fma.f64 2 (+.f64 x y) z) x))))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 2 (+.f64 x y) z) 3))) (sqrt.f64 (+.f64 x (fma.f64 2 (+.f64 x y) z)))) (sqrt.f64 (fma.f64 x x (*.f64 (fma.f64 2 (+.f64 x y) z) (-.f64 (fma.f64 2 (+.f64 x y) z) x))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 2 (+.f64 x y) z) 2))) (sqrt.f64 (+.f64 x (fma.f64 2 (+.f64 x y) z)))) (sqrt.f64 (-.f64 x (fma.f64 2 (+.f64 x y) z)))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 2 (+.f64 x y) z) 3))) (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 2 (+.f64 x y) z))) 2)) (cbrt.f64 (fma.f64 x x (*.f64 (fma.f64 2 (+.f64 x y) z) (-.f64 (fma.f64 2 (+.f64 x y) z) x))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 2 (+.f64 x y) z) 2))) (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 2 (+.f64 x y) z))) 2)) (cbrt.f64 (-.f64 x (fma.f64 2 (+.f64 x y) z)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (pow.f64 (fma.f64 2 (+.f64 x y) z) 2) (pow.f64 (fma.f64 2 (+.f64 x y) z) 2))) (/.f64 1 (-.f64 x (fma.f64 2 (+.f64 x y) z)))) (+.f64 (pow.f64 (fma.f64 2 (+.f64 x y) z) 2) (*.f64 x x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (pow.f64 (fma.f64 2 (+.f64 x y) z) 2) 3)) (/.f64 1 (-.f64 x (fma.f64 2 (+.f64 x y) z)))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (*.f64 (pow.f64 (fma.f64 2 (+.f64 x y) z) 2) (pow.f64 (fma.f64 2 (+.f64 x y) z) 2)) (*.f64 (*.f64 x x) (pow.f64 (fma.f64 2 (+.f64 x y) z) 2))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 (fma.f64 2 (+.f64 x y) z) 3) (pow.f64 (fma.f64 2 (+.f64 x y) z) 3))) (/.f64 1 (fma.f64 x x (*.f64 (fma.f64 2 (+.f64 x y) z) (-.f64 (fma.f64 2 (+.f64 x y) z) x))))) (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 2 (+.f64 x y) z) 3))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (fma.f64 2 (+.f64 x y) z) 3) 3)) (/.f64 1 (fma.f64 x x (*.f64 (fma.f64 2 (+.f64 x y) z) (-.f64 (fma.f64 2 (+.f64 x y) z) x))))) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (-.f64 (*.f64 (pow.f64 (fma.f64 2 (+.f64 x y) z) 3) (pow.f64 (fma.f64 2 (+.f64 x y) z) 3)) (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 2 (+.f64 x y) z) 3))))) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 2 (+.f64 x y) z) 2)) 1) (-.f64 x (fma.f64 2 (+.f64 x y) z))) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 2 (+.f64 x y) z) 2)) (sqrt.f64 (-.f64 x (fma.f64 2 (+.f64 x y) z)))) (sqrt.f64 (-.f64 x (fma.f64 2 (+.f64 x y) z)))) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 2 (+.f64 x y) z) 2)) (*.f64 (cbrt.f64 (-.f64 x (fma.f64 2 (+.f64 x y) z))) (cbrt.f64 (-.f64 x (fma.f64 2 (+.f64 x y) z))))) (cbrt.f64 (-.f64 x (fma.f64 2 (+.f64 x y) z)))) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 2 (+.f64 x y) z) 2)) (+.f64 (sqrt.f64 (fma.f64 2 (+.f64 x y) z)) (sqrt.f64 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 2 (+.f64 x y) z)))) |
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 2 (+.f64 x y) z) 3)) 1) (fma.f64 x x (*.f64 (fma.f64 2 (+.f64 x y) z) (-.f64 (fma.f64 2 (+.f64 x y) z) x)))) |
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 2 (+.f64 x y) z) 3)) (sqrt.f64 (fma.f64 x x (*.f64 (fma.f64 2 (+.f64 x y) z) (-.f64 (fma.f64 2 (+.f64 x y) z) x))))) (sqrt.f64 (fma.f64 x x (*.f64 (fma.f64 2 (+.f64 x y) z) (-.f64 (fma.f64 2 (+.f64 x y) z) x))))) |
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 2 (+.f64 x y) z) 3)) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (fma.f64 2 (+.f64 x y) z) (-.f64 (fma.f64 2 (+.f64 x y) z) x)))) (cbrt.f64 (fma.f64 x x (*.f64 (fma.f64 2 (+.f64 x y) z) (-.f64 (fma.f64 2 (+.f64 x y) z) x)))))) (cbrt.f64 (fma.f64 x x (*.f64 (fma.f64 2 (+.f64 x y) z) (-.f64 (fma.f64 2 (+.f64 x y) z) x))))) |
(pow.f64 (+.f64 x (fma.f64 2 (+.f64 x y) z)) 1) |
(pow.f64 (sqrt.f64 (+.f64 x (fma.f64 2 (+.f64 x y) z))) 2) |
(pow.f64 (cbrt.f64 (+.f64 x (fma.f64 2 (+.f64 x y) z))) 3) |
(pow.f64 (pow.f64 (+.f64 x (fma.f64 2 (+.f64 x y) z)) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 x (fma.f64 2 (+.f64 x y) z)) 2)) |
(log.f64 (exp.f64 (+.f64 x (fma.f64 2 (+.f64 x y) z)))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (fma.f64 2 (+.f64 x y) z))))) |
(cbrt.f64 (pow.f64 (+.f64 x (fma.f64 2 (+.f64 x y) z)) 3)) |
(expm1.f64 (log1p.f64 (+.f64 x (fma.f64 2 (+.f64 x y) z)))) |
(exp.f64 (log.f64 (+.f64 x (fma.f64 2 (+.f64 x y) z)))) |
(exp.f64 (*.f64 (log.f64 (+.f64 x (fma.f64 2 (+.f64 x y) z))) 1)) |
(log1p.f64 (expm1.f64 (+.f64 x (fma.f64 2 (+.f64 x y) z)))) |
(fma.f64 1 x (fma.f64 2 (+.f64 x y) z)) |
(fma.f64 1 (fma.f64 2 (+.f64 x y) z) x) |
(fma.f64 (sqrt.f64 (fma.f64 2 (+.f64 x y) z)) (sqrt.f64 (fma.f64 2 (+.f64 x y) z)) x) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (fma.f64 2 (+.f64 x y) z)) |
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (+.f64 x y) z)) 2) (cbrt.f64 (fma.f64 2 (+.f64 x y) z)) x) |
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (fma.f64 2 (+.f64 x y) z)) |
| Outputs |
|---|
(+.f64 (*.f64 2 y) z) |
(fma.f64 2 y z) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(fma.f64 3 x (fma.f64 2 y z)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(fma.f64 3 x (fma.f64 2 y z)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(fma.f64 3 x (fma.f64 2 y z)) |
(*.f64 3 x) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(fma.f64 3 x (fma.f64 2 y z)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(fma.f64 3 x (fma.f64 2 y z)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(fma.f64 3 x (fma.f64 2 y z)) |
(*.f64 3 x) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(fma.f64 3 x (fma.f64 2 y z)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(fma.f64 3 x (fma.f64 2 y z)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(fma.f64 3 x (fma.f64 2 y z)) |
(+.f64 (*.f64 2 x) (+.f64 z x)) |
(fma.f64 2 x (+.f64 z x)) |
(+.f64 x (fma.f64 2 x z)) |
(+.f64 z (*.f64 3 x)) |
(+.f64 (*.f64 2 y) (+.f64 (*.f64 2 x) (+.f64 z x))) |
(fma.f64 3 x (fma.f64 2 y z)) |
(+.f64 (*.f64 2 y) (+.f64 (*.f64 2 x) (+.f64 z x))) |
(fma.f64 3 x (fma.f64 2 y z)) |
(+.f64 (*.f64 2 y) (+.f64 (*.f64 2 x) (+.f64 z x))) |
(fma.f64 3 x (fma.f64 2 y z)) |
(*.f64 2 y) |
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x))) |
(fma.f64 3 x (fma.f64 2 y z)) |
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x))) |
(fma.f64 3 x (fma.f64 2 y z)) |
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x))) |
(fma.f64 3 x (fma.f64 2 y z)) |
(*.f64 2 y) |
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x))) |
(fma.f64 3 x (fma.f64 2 y z)) |
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x))) |
(fma.f64 3 x (fma.f64 2 y z)) |
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2 y) (+.f64 z x))) |
(fma.f64 3 x (fma.f64 2 y z)) |
(+.f64 (*.f64 2 (+.f64 y x)) x) |
(fma.f64 2 (+.f64 y x) x) |
(+.f64 z (+.f64 (*.f64 2 (+.f64 y x)) x)) |
(fma.f64 3 x (fma.f64 2 y z)) |
(+.f64 z (+.f64 (*.f64 2 (+.f64 y x)) x)) |
(fma.f64 3 x (fma.f64 2 y z)) |
(+.f64 z (+.f64 (*.f64 2 (+.f64 y x)) x)) |
(fma.f64 3 x (fma.f64 2 y z)) |
z |
(+.f64 (*.f64 2 (+.f64 y x)) (+.f64 z x)) |
(fma.f64 3 x (fma.f64 2 y z)) |
(+.f64 (*.f64 2 (+.f64 y x)) (+.f64 z x)) |
(fma.f64 3 x (fma.f64 2 y z)) |
(+.f64 (*.f64 2 (+.f64 y x)) (+.f64 z x)) |
(fma.f64 3 x (fma.f64 2 y z)) |
z |
(+.f64 (*.f64 2 (+.f64 y x)) (+.f64 z x)) |
(fma.f64 3 x (fma.f64 2 y z)) |
(+.f64 (*.f64 2 (+.f64 y x)) (+.f64 z x)) |
(fma.f64 3 x (fma.f64 2 y z)) |
(+.f64 (*.f64 2 (+.f64 y x)) (+.f64 z x)) |
(fma.f64 3 x (fma.f64 2 y z)) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (fma.f64 2 (+.f64 x y) z)))) 1) |
(fma.f64 3 x (fma.f64 2 y z)) |
(-.f64 (exp.f64 (log1p.f64 z)) (-.f64 1 (+.f64 x (*.f64 2 (+.f64 x y))))) |
(+.f64 (-.f64 (exp.f64 (log1p.f64 z)) 1) (fma.f64 2 (+.f64 y x) x)) |
(+.f64 (fma.f64 2 (+.f64 y x) x) (expm1.f64 (log1p.f64 z))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 (+.f64 x y)))) (-.f64 1 (+.f64 x z))) |
(+.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 2 (+.f64 y x)))) 1) (+.f64 z x)) |
(+.f64 (+.f64 z x) (expm1.f64 (log1p.f64 (*.f64 2 (+.f64 y x))))) |
(+.f64 z (+.f64 x (expm1.f64 (log1p.f64 (*.f64 2 (+.f64 y x)))))) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 2 (+.f64 x y) z))) (-.f64 1 x)) |
(+.f64 (-.f64 (exp.f64 (log1p.f64 (fma.f64 2 (+.f64 y x) z))) 1) x) |
(+.f64 x (expm1.f64 (log1p.f64 (fma.f64 2 (+.f64 y x) z)))) |
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (fma.f64 2 (+.f64 x y) z))) |
(+.f64 (-.f64 (exp.f64 (log1p.f64 x)) 1) (fma.f64 2 (+.f64 y x) z)) |
(+.f64 (fma.f64 2 (+.f64 y x) z) (expm1.f64 (log1p.f64 x))) |
(-.f64 (/.f64 (*.f64 (pow.f64 (+.f64 x y) 2) 4) (-.f64 (*.f64 2 (+.f64 x y)) z)) (-.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 2 (+.f64 x y)) z)) x)) |
(+.f64 (-.f64 (/.f64 (pow.f64 (+.f64 y x) 2) (/.f64 (fma.f64 2 (+.f64 y x) (neg.f64 z)) 4)) (/.f64 z (/.f64 (fma.f64 2 (+.f64 y x) (neg.f64 z)) z))) x) |
(+.f64 x (-.f64 (/.f64 (pow.f64 (+.f64 y x) 2) (/.f64 (fma.f64 2 (+.f64 y x) (neg.f64 z)) 4)) (*.f64 (/.f64 z (fma.f64 2 (+.f64 y x) (neg.f64 z))) z))) |
(+.f64 x (-.f64 (*.f64 4 (/.f64 (pow.f64 (+.f64 y x) 2) (fma.f64 2 (+.f64 y x) (neg.f64 z)))) (*.f64 z (/.f64 z (fma.f64 2 (+.f64 y x) (neg.f64 z)))))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (fma.f64 2 (+.f64 x y) z))) (/.f64 (pow.f64 (fma.f64 2 (+.f64 x y) z) 2) (-.f64 x (fma.f64 2 (+.f64 x y) z)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 2 (+.f64 y x) z) 2)) (-.f64 x (fma.f64 2 (+.f64 y x) z))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 2 (+.f64 y x) z) 2) (*.f64 x x)) (-.f64 (fma.f64 2 (+.f64 y x) z) x)) |
(-.f64 (+.f64 x (exp.f64 (log1p.f64 (fma.f64 2 (+.f64 x y) z)))) 1) |
(+.f64 (-.f64 (exp.f64 (log1p.f64 (fma.f64 2 (+.f64 y x) z))) 1) x) |
(+.f64 x (expm1.f64 (log1p.f64 (fma.f64 2 (+.f64 y x) z)))) |
(-.f64 (+.f64 x (/.f64 (*.f64 (pow.f64 (+.f64 x y) 2) 4) (-.f64 (*.f64 2 (+.f64 x y)) z))) (/.f64 (*.f64 z z) (-.f64 (*.f64 2 (+.f64 x y)) z))) |
(+.f64 (-.f64 (/.f64 (pow.f64 (+.f64 y x) 2) (/.f64 (fma.f64 2 (+.f64 y x) (neg.f64 z)) 4)) (/.f64 z (/.f64 (fma.f64 2 (+.f64 y x) (neg.f64 z)) z))) x) |
(+.f64 x (-.f64 (/.f64 (pow.f64 (+.f64 y x) 2) (/.f64 (fma.f64 2 (+.f64 y x) (neg.f64 z)) 4)) (*.f64 (/.f64 z (fma.f64 2 (+.f64 y x) (neg.f64 z))) z))) |
(+.f64 x (-.f64 (*.f64 4 (/.f64 (pow.f64 (+.f64 y x) 2) (fma.f64 2 (+.f64 y x) (neg.f64 z)))) (*.f64 z (/.f64 z (fma.f64 2 (+.f64 y x) (neg.f64 z)))))) |
(-.f64 (+.f64 (fma.f64 2 (+.f64 x y) z) (exp.f64 (log1p.f64 x))) 1) |
(+.f64 (-.f64 (exp.f64 (log1p.f64 x)) 1) (fma.f64 2 (+.f64 y x) z)) |
(+.f64 (fma.f64 2 (+.f64 y x) z) (expm1.f64 (log1p.f64 x))) |
(-.f64 (+.f64 (+.f64 x (*.f64 2 (+.f64 x y))) (exp.f64 (log1p.f64 z))) 1) |
(+.f64 (-.f64 (exp.f64 (log1p.f64 z)) 1) (fma.f64 2 (+.f64 y x) x)) |
(+.f64 (fma.f64 2 (+.f64 y x) x) (expm1.f64 (log1p.f64 z))) |
(-.f64 (+.f64 (+.f64 x z) (exp.f64 (log1p.f64 (*.f64 2 (+.f64 x y))))) 1) |
(+.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 2 (+.f64 y x)))) 1) (+.f64 z x)) |
(+.f64 (+.f64 z x) (expm1.f64 (log1p.f64 (*.f64 2 (+.f64 y x))))) |
(+.f64 z (+.f64 x (expm1.f64 (log1p.f64 (*.f64 2 (+.f64 y x)))))) |
(-.f64 (+.f64 (*.f64 (+.f64 x (*.f64 2 (+.f64 x y))) 1) (exp.f64 (log1p.f64 z))) 1) |
(+.f64 (-.f64 (exp.f64 (log1p.f64 z)) 1) (fma.f64 2 (+.f64 y x) x)) |
(+.f64 (fma.f64 2 (+.f64 y x) x) (expm1.f64 (log1p.f64 z))) |
(*.f64 (+.f64 x (fma.f64 2 (+.f64 x y) z)) 1) |
(fma.f64 3 x (fma.f64 2 y z)) |
(*.f64 1 (+.f64 x (fma.f64 2 (+.f64 x y) z))) |
(fma.f64 3 x (fma.f64 2 y z)) |
(*.f64 (sqrt.f64 (+.f64 x (fma.f64 2 (+.f64 x y) z))) (sqrt.f64 (+.f64 x (fma.f64 2 (+.f64 x y) z)))) |
(fma.f64 3 x (fma.f64 2 y z)) |
(*.f64 (cbrt.f64 (+.f64 x (fma.f64 2 (+.f64 x y) z))) (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 2 (+.f64 x y) z))) 2)) |
(fma.f64 3 x (fma.f64 2 y z)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 2 (+.f64 x y) z))) 2) (cbrt.f64 (+.f64 x (fma.f64 2 (+.f64 x y) z)))) |
(fma.f64 3 x (fma.f64 2 y z)) |
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 2 (+.f64 x y) z) 2)) (/.f64 1 (-.f64 x (fma.f64 2 (+.f64 x y) z)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 2 (+.f64 y x) z) 2)) (-.f64 x (fma.f64 2 (+.f64 y x) z))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 2 (+.f64 y x) z) 2) (*.f64 x x)) (-.f64 (fma.f64 2 (+.f64 y x) z) x)) |
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 2 (+.f64 x y) z) 3)) (/.f64 1 (fma.f64 x x (*.f64 (fma.f64 2 (+.f64 x y) z) (-.f64 (fma.f64 2 (+.f64 x y) z) x))))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 2 (+.f64 y x) z) 3)) (fma.f64 x x (*.f64 (fma.f64 2 (+.f64 y x) z) (-.f64 (fma.f64 2 (+.f64 y x) z) x)))) |
(/.f64 1 (/.f64 (-.f64 x (fma.f64 2 (+.f64 x y) z)) (-.f64 (*.f64 x x) (pow.f64 (fma.f64 2 (+.f64 x y) z) 2)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 2 (+.f64 y x) z) 2)) (-.f64 x (fma.f64 2 (+.f64 y x) z))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 2 (+.f64 y x) z) 2) (*.f64 x x)) (-.f64 (fma.f64 2 (+.f64 y x) z) x)) |
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (fma.f64 2 (+.f64 x y) z) (-.f64 (fma.f64 2 (+.f64 x y) z) x))) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 2 (+.f64 x y) z) 3)))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 2 (+.f64 y x) z) 3)) (fma.f64 x x (*.f64 (fma.f64 2 (+.f64 y x) z) (-.f64 (fma.f64 2 (+.f64 y x) z) x)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 2 (+.f64 x y) z) 2)) (-.f64 x (fma.f64 2 (+.f64 x y) z))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 2 (+.f64 y x) z) 2)) (-.f64 x (fma.f64 2 (+.f64 y x) z))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 2 (+.f64 y x) z) 2) (*.f64 x x)) (-.f64 (fma.f64 2 (+.f64 y x) z) x)) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 2 (+.f64 x y) z) 3)) (fma.f64 x x (*.f64 (fma.f64 2 (+.f64 x y) z) (-.f64 (fma.f64 2 (+.f64 x y) z) x)))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 2 (+.f64 y x) z) 3)) (fma.f64 x x (*.f64 (fma.f64 2 (+.f64 y x) z) (-.f64 (fma.f64 2 (+.f64 y x) z) x)))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 2 (+.f64 x y) z) 2) (*.f64 x x)) (-.f64 (fma.f64 2 (+.f64 x y) z) x)) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 2 (+.f64 y x) z) 2)) (-.f64 x (fma.f64 2 (+.f64 y x) z))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 2 (+.f64 y x) z) 2) (*.f64 x x)) (-.f64 (fma.f64 2 (+.f64 y x) z) x)) |
(/.f64 (-.f64 (*.f64 (+.f64 x (*.f64 2 (+.f64 x y))) (+.f64 x (*.f64 2 (+.f64 x y)))) (*.f64 z z)) (+.f64 x (-.f64 (*.f64 2 (+.f64 x y)) z))) |
(/.f64 (-.f64 (*.f64 (fma.f64 2 (+.f64 y x) x) (fma.f64 2 (+.f64 y x) x)) (*.f64 z z)) (-.f64 (fma.f64 2 (+.f64 y x) x) z)) |
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(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (pow.f64 (fma.f64 2 (+.f64 x y) z) 2) (pow.f64 (fma.f64 2 (+.f64 x y) z) 2))) (/.f64 1 (-.f64 x (fma.f64 2 (+.f64 x y) z)))) (+.f64 (pow.f64 (fma.f64 2 (+.f64 x y) z) 2) (*.f64 x x))) |
(/.f64 (*.f64 (/.f64 1 (-.f64 x (fma.f64 2 (+.f64 y x) z))) (-.f64 (*.f64 x (pow.f64 x 3)) (pow.f64 (fma.f64 2 (+.f64 y x) z) 4))) (+.f64 (*.f64 x x) (pow.f64 (fma.f64 2 (+.f64 y x) z) 2))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 4) (pow.f64 (fma.f64 2 (+.f64 y x) z) 4)) (-.f64 x (fma.f64 2 (+.f64 y x) z))) (fma.f64 x x (pow.f64 (fma.f64 2 (+.f64 y x) z) 2))) |
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 (fma.f64 2 (+.f64 y x) z) 4)) (*.f64 (-.f64 x (fma.f64 2 (+.f64 y x) z)) (fma.f64 x x (pow.f64 (fma.f64 2 (+.f64 y x) z) 2)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (pow.f64 (fma.f64 2 (+.f64 x y) z) 2) 3)) (/.f64 1 (-.f64 x (fma.f64 2 (+.f64 x y) z)))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (*.f64 (pow.f64 (fma.f64 2 (+.f64 x y) z) 2) (pow.f64 (fma.f64 2 (+.f64 x y) z) 2)) (*.f64 (*.f64 x x) (pow.f64 (fma.f64 2 (+.f64 x y) z) 2))))) |
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (pow.f64 (fma.f64 2 (+.f64 y x) z) 2) 3)) (/.f64 (+.f64 (*.f64 x (pow.f64 x 3)) (+.f64 (pow.f64 (fma.f64 2 (+.f64 y x) z) 4) (*.f64 (*.f64 x x) (pow.f64 (fma.f64 2 (+.f64 y x) z) 2)))) (/.f64 1 (-.f64 x (fma.f64 2 (+.f64 y x) z))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (fma.f64 2 (+.f64 y x) z) 6)) (-.f64 x (fma.f64 2 (+.f64 y x) z))) (fma.f64 (pow.f64 (fma.f64 2 (+.f64 y x) z) 2) (fma.f64 x x (pow.f64 (fma.f64 2 (+.f64 y x) z) 2)) (pow.f64 x 4))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 (fma.f64 2 (+.f64 x y) z) 3) (pow.f64 (fma.f64 2 (+.f64 x y) z) 3))) (/.f64 1 (fma.f64 x x (*.f64 (fma.f64 2 (+.f64 x y) z) (-.f64 (fma.f64 2 (+.f64 x y) z) x))))) (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 2 (+.f64 x y) z) 3))) |
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x 6) (pow.f64 (fma.f64 2 (+.f64 y x) z) 6)) 1) (fma.f64 x x (*.f64 (fma.f64 2 (+.f64 y x) z) (-.f64 (fma.f64 2 (+.f64 y x) z) x)))) (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 2 (+.f64 y x) z) 3))) |
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (fma.f64 2 (+.f64 y x) z) 6)) (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 2 (+.f64 y x) z) 3)) (fma.f64 x x (*.f64 (fma.f64 2 (+.f64 y x) z) (-.f64 (fma.f64 2 (+.f64 y x) z) x))))) |
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (fma.f64 2 (+.f64 y x) z) 6)) (*.f64 (fma.f64 x x (*.f64 (fma.f64 2 (+.f64 y x) z) (-.f64 (fma.f64 2 (+.f64 y x) z) x))) (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 2 (+.f64 y x) z) 3)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (fma.f64 2 (+.f64 x y) z) 3) 3)) (/.f64 1 (fma.f64 x x (*.f64 (fma.f64 2 (+.f64 x y) z) (-.f64 (fma.f64 2 (+.f64 x y) z) x))))) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (-.f64 (*.f64 (pow.f64 (fma.f64 2 (+.f64 x y) z) 3) (pow.f64 (fma.f64 2 (+.f64 x y) z) 3)) (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 2 (+.f64 x y) z) 3))))) |
(/.f64 (*.f64 (/.f64 1 (fma.f64 x x (*.f64 (fma.f64 2 (+.f64 y x) z) (-.f64 (fma.f64 2 (+.f64 y x) z) x)))) (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (fma.f64 2 (+.f64 y x) z) 3) 3))) (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 (fma.f64 2 (+.f64 y x) z) 6) (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 2 (+.f64 y x) z) 3))))) |
(/.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (fma.f64 2 (+.f64 y x) z) 3) 3)) (*.f64 (fma.f64 (pow.f64 (fma.f64 2 (+.f64 y x) z) 3) (-.f64 (pow.f64 (fma.f64 2 (+.f64 y x) z) 3) (pow.f64 x 3)) (pow.f64 x 6)) (fma.f64 x x (*.f64 (fma.f64 2 (+.f64 y x) z) (-.f64 (fma.f64 2 (+.f64 y x) z) x))))) |
(/.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (fma.f64 2 (+.f64 y x) z) 3) 3)) (*.f64 (fma.f64 x x (*.f64 (fma.f64 2 (+.f64 y x) z) (-.f64 (fma.f64 2 (+.f64 y x) z) x))) (fma.f64 (pow.f64 (fma.f64 2 (+.f64 y x) z) 3) (-.f64 (pow.f64 (fma.f64 2 (+.f64 y x) z) 3) (pow.f64 x 3)) (pow.f64 x 6)))) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 2 (+.f64 x y) z) 2)) 1) (-.f64 x (fma.f64 2 (+.f64 x y) z))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 2 (+.f64 y x) z) 2)) (-.f64 x (fma.f64 2 (+.f64 y x) z))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 2 (+.f64 y x) z) 2) (*.f64 x x)) (-.f64 (fma.f64 2 (+.f64 y x) z) x)) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 2 (+.f64 x y) z) 2)) (sqrt.f64 (-.f64 x (fma.f64 2 (+.f64 x y) z)))) (sqrt.f64 (-.f64 x (fma.f64 2 (+.f64 x y) z)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 2 (+.f64 y x) z) 2)) (-.f64 x (fma.f64 2 (+.f64 y x) z))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 2 (+.f64 y x) z) 2) (*.f64 x x)) (-.f64 (fma.f64 2 (+.f64 y x) z) x)) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 2 (+.f64 x y) z) 2)) (*.f64 (cbrt.f64 (-.f64 x (fma.f64 2 (+.f64 x y) z))) (cbrt.f64 (-.f64 x (fma.f64 2 (+.f64 x y) z))))) (cbrt.f64 (-.f64 x (fma.f64 2 (+.f64 x y) z)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 2 (+.f64 y x) z) 2)) (-.f64 x (fma.f64 2 (+.f64 y x) z))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 2 (+.f64 y x) z) 2) (*.f64 x x)) (-.f64 (fma.f64 2 (+.f64 y x) z) x)) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 2 (+.f64 x y) z) 2)) (+.f64 (sqrt.f64 (fma.f64 2 (+.f64 x y) z)) (sqrt.f64 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 2 (+.f64 x y) z)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 2 (+.f64 y x) z) 2)) (-.f64 x (fma.f64 2 (+.f64 y x) z))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 2 (+.f64 y x) z) 2) (*.f64 x x)) (-.f64 (fma.f64 2 (+.f64 y x) z) x)) |
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 2 (+.f64 x y) z) 3)) 1) (fma.f64 x x (*.f64 (fma.f64 2 (+.f64 x y) z) (-.f64 (fma.f64 2 (+.f64 x y) z) x)))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 2 (+.f64 y x) z) 3)) (fma.f64 x x (*.f64 (fma.f64 2 (+.f64 y x) z) (-.f64 (fma.f64 2 (+.f64 y x) z) x)))) |
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 2 (+.f64 x y) z) 3)) (sqrt.f64 (fma.f64 x x (*.f64 (fma.f64 2 (+.f64 x y) z) (-.f64 (fma.f64 2 (+.f64 x y) z) x))))) (sqrt.f64 (fma.f64 x x (*.f64 (fma.f64 2 (+.f64 x y) z) (-.f64 (fma.f64 2 (+.f64 x y) z) x))))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 2 (+.f64 y x) z) 3)) (fma.f64 x x (*.f64 (fma.f64 2 (+.f64 y x) z) (-.f64 (fma.f64 2 (+.f64 y x) z) x)))) |
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 2 (+.f64 x y) z) 3)) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (fma.f64 2 (+.f64 x y) z) (-.f64 (fma.f64 2 (+.f64 x y) z) x)))) (cbrt.f64 (fma.f64 x x (*.f64 (fma.f64 2 (+.f64 x y) z) (-.f64 (fma.f64 2 (+.f64 x y) z) x)))))) (cbrt.f64 (fma.f64 x x (*.f64 (fma.f64 2 (+.f64 x y) z) (-.f64 (fma.f64 2 (+.f64 x y) z) x))))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 2 (+.f64 y x) z) 3)) (fma.f64 x x (*.f64 (fma.f64 2 (+.f64 y x) z) (-.f64 (fma.f64 2 (+.f64 y x) z) x)))) |
(pow.f64 (+.f64 x (fma.f64 2 (+.f64 x y) z)) 1) |
(fma.f64 3 x (fma.f64 2 y z)) |
(pow.f64 (sqrt.f64 (+.f64 x (fma.f64 2 (+.f64 x y) z))) 2) |
(fma.f64 3 x (fma.f64 2 y z)) |
(pow.f64 (cbrt.f64 (+.f64 x (fma.f64 2 (+.f64 x y) z))) 3) |
(fma.f64 3 x (fma.f64 2 y z)) |
(pow.f64 (pow.f64 (+.f64 x (fma.f64 2 (+.f64 x y) z)) 3) 1/3) |
(fma.f64 3 x (fma.f64 2 y z)) |
(sqrt.f64 (pow.f64 (+.f64 x (fma.f64 2 (+.f64 x y) z)) 2)) |
(sqrt.f64 (pow.f64 (+.f64 x (fma.f64 2 (+.f64 y x) z)) 2)) |
(fabs.f64 (+.f64 z (fma.f64 2 (+.f64 y x) x))) |
(fabs.f64 (fma.f64 3 x (fma.f64 2 y z))) |
(log.f64 (exp.f64 (+.f64 x (fma.f64 2 (+.f64 x y) z)))) |
(fma.f64 3 x (fma.f64 2 y z)) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (fma.f64 2 (+.f64 x y) z))))) |
(fma.f64 3 x (fma.f64 2 y z)) |
(cbrt.f64 (pow.f64 (+.f64 x (fma.f64 2 (+.f64 x y) z)) 3)) |
(fma.f64 3 x (fma.f64 2 y z)) |
(expm1.f64 (log1p.f64 (+.f64 x (fma.f64 2 (+.f64 x y) z)))) |
(fma.f64 3 x (fma.f64 2 y z)) |
(exp.f64 (log.f64 (+.f64 x (fma.f64 2 (+.f64 x y) z)))) |
(fma.f64 3 x (fma.f64 2 y z)) |
(exp.f64 (*.f64 (log.f64 (+.f64 x (fma.f64 2 (+.f64 x y) z))) 1)) |
(fma.f64 3 x (fma.f64 2 y z)) |
(log1p.f64 (expm1.f64 (+.f64 x (fma.f64 2 (+.f64 x y) z)))) |
(fma.f64 3 x (fma.f64 2 y z)) |
(fma.f64 1 x (fma.f64 2 (+.f64 x y) z)) |
(fma.f64 3 x (fma.f64 2 y z)) |
(fma.f64 1 (fma.f64 2 (+.f64 x y) z) x) |
(fma.f64 3 x (fma.f64 2 y z)) |
(fma.f64 (sqrt.f64 (fma.f64 2 (+.f64 x y) z)) (sqrt.f64 (fma.f64 2 (+.f64 x y) z)) x) |
(fma.f64 3 x (fma.f64 2 y z)) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (fma.f64 2 (+.f64 x y) z)) |
(fma.f64 3 x (fma.f64 2 y z)) |
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (+.f64 x y) z)) 2) (cbrt.f64 (fma.f64 2 (+.f64 x y) z)) x) |
(fma.f64 3 x (fma.f64 2 y z)) |
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (fma.f64 2 (+.f64 x y) z)) |
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (fma.f64 2 (+.f64 y x) z)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (fma.f64 x 3 (fma.f64 y 2 z)) |
Compiled 19 to 11 computations (42.1% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (fma.f64 x 3 (fma.f64 y 2 z)) |
| 0.0ms | y | @ | 0 | (fma.f64 x 3 (fma.f64 y 2 z)) |
| 0.0ms | x | @ | -inf | (fma.f64 x 3 (fma.f64 y 2 z)) |
| 0.0ms | y | @ | -inf | (fma.f64 x 3 (fma.f64 y 2 z)) |
| 0.0ms | z | @ | 0 | (fma.f64 x 3 (fma.f64 y 2 z)) |
| 1× | batch-egg-rewrite |
| 1658× | add-sqr-sqrt |
| 1640× | *-un-lft-identity |
| 1520× | add-cube-cbrt |
| 1506× | add-cbrt-cube |
| 176× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 17 |
| 1 | 182 | 17 |
| 2 | 2020 | 17 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 x 3 (fma.f64 y 2 z)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 y 2 z) (*.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 3) (fma.f64 y 2 z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 x 3) (*.f64 y 2)) z)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 3) 1) (fma.f64 y 2 z))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x 3 (fma.f64 y 2 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 3 (fma.f64 y 2 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x 3 (fma.f64 y 2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 3 (fma.f64 y 2 z))) (sqrt.f64 (fma.f64 x 3 (fma.f64 y 2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x 3 (fma.f64 y 2 z))) (pow.f64 (cbrt.f64 (fma.f64 x 3 (fma.f64 y 2 z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 3 (fma.f64 y 2 z))) 2) (cbrt.f64 (fma.f64 x 3 (fma.f64 y 2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x 3) (*.f64 x 3)) (pow.f64 (fma.f64 y 2 z) 2)) (-.f64 (*.f64 x 3) (fma.f64 y 2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x 3) 3) (pow.f64 (fma.f64 y 2 z) 3)) (+.f64 (*.f64 (*.f64 x 3) (*.f64 x 3)) (-.f64 (pow.f64 (fma.f64 y 2 z) 2) (*.f64 (*.f64 x 3) (fma.f64 y 2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 3 (fma.f64 y 2 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 3 (fma.f64 y 2 z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 3 (fma.f64 y 2 z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 3 (fma.f64 y 2 z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 3 (fma.f64 y 2 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 3 (fma.f64 y 2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 3 (fma.f64 y 2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 3 (fma.f64 y 2 z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 3 (fma.f64 y 2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 3 (fma.f64 y 2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x 3 (fma.f64 y 2 z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 3 (fma.f64 y 2 z)))))))) |
| 1× | egg-herbie |
| 1416× | associate-+l+ |
| 1386× | associate-+r+ |
| 1326× | associate-*r* |
| 1144× | associate-*l* |
| 598× | distribute-lft-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 69 | 1052 |
| 1 | 171 | 1038 |
| 2 | 711 | 1038 |
| 3 | 4650 | 1038 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 2 y) z) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(*.f64 3 x) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(*.f64 3 x) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(+.f64 (*.f64 3 x) z) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(*.f64 2 y) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(*.f64 2 y) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(+.f64 (*.f64 3 x) (*.f64 2 y)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
z |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
z |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(+.f64 (fma.f64 y 2 z) (*.f64 x 3)) |
(+.f64 (*.f64 x 3) (fma.f64 y 2 z)) |
(+.f64 (+.f64 (*.f64 x 3) (*.f64 y 2)) z) |
(+.f64 (*.f64 (*.f64 x 3) 1) (fma.f64 y 2 z)) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 3 (fma.f64 y 2 z)))) 1) |
(*.f64 (fma.f64 x 3 (fma.f64 y 2 z)) 1) |
(*.f64 1 (fma.f64 x 3 (fma.f64 y 2 z))) |
(*.f64 (sqrt.f64 (fma.f64 x 3 (fma.f64 y 2 z))) (sqrt.f64 (fma.f64 x 3 (fma.f64 y 2 z)))) |
(*.f64 (cbrt.f64 (fma.f64 x 3 (fma.f64 y 2 z))) (pow.f64 (cbrt.f64 (fma.f64 x 3 (fma.f64 y 2 z))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 3 (fma.f64 y 2 z))) 2) (cbrt.f64 (fma.f64 x 3 (fma.f64 y 2 z)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x 3) (*.f64 x 3)) (pow.f64 (fma.f64 y 2 z) 2)) (-.f64 (*.f64 x 3) (fma.f64 y 2 z))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x 3) 3) (pow.f64 (fma.f64 y 2 z) 3)) (+.f64 (*.f64 (*.f64 x 3) (*.f64 x 3)) (-.f64 (pow.f64 (fma.f64 y 2 z) 2) (*.f64 (*.f64 x 3) (fma.f64 y 2 z))))) |
(pow.f64 (fma.f64 x 3 (fma.f64 y 2 z)) 1) |
(pow.f64 (sqrt.f64 (fma.f64 x 3 (fma.f64 y 2 z))) 2) |
(pow.f64 (cbrt.f64 (fma.f64 x 3 (fma.f64 y 2 z))) 3) |
(pow.f64 (pow.f64 (fma.f64 x 3 (fma.f64 y 2 z)) 3) 1/3) |
(sqrt.f64 (pow.f64 (fma.f64 x 3 (fma.f64 y 2 z)) 2)) |
(log.f64 (exp.f64 (fma.f64 x 3 (fma.f64 y 2 z)))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 3 (fma.f64 y 2 z))))) |
(cbrt.f64 (pow.f64 (fma.f64 x 3 (fma.f64 y 2 z)) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 x 3 (fma.f64 y 2 z)))) |
(exp.f64 (log.f64 (fma.f64 x 3 (fma.f64 y 2 z)))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 x 3 (fma.f64 y 2 z))) 1)) |
(log1p.f64 (expm1.f64 (fma.f64 x 3 (fma.f64 y 2 z)))) |
| Outputs |
|---|
(+.f64 (*.f64 2 y) z) |
(fma.f64 2 y z) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(fma.f64 3 x (fma.f64 2 y z)) |
(fma.f64 2 y (fma.f64 3 x z)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(fma.f64 3 x (fma.f64 2 y z)) |
(fma.f64 2 y (fma.f64 3 x z)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(fma.f64 3 x (fma.f64 2 y z)) |
(fma.f64 2 y (fma.f64 3 x z)) |
(*.f64 3 x) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(fma.f64 3 x (fma.f64 2 y z)) |
(fma.f64 2 y (fma.f64 3 x z)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(fma.f64 3 x (fma.f64 2 y z)) |
(fma.f64 2 y (fma.f64 3 x z)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(fma.f64 3 x (fma.f64 2 y z)) |
(fma.f64 2 y (fma.f64 3 x z)) |
(*.f64 3 x) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(fma.f64 3 x (fma.f64 2 y z)) |
(fma.f64 2 y (fma.f64 3 x z)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(fma.f64 3 x (fma.f64 2 y z)) |
(fma.f64 2 y (fma.f64 3 x z)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(fma.f64 3 x (fma.f64 2 y z)) |
(fma.f64 2 y (fma.f64 3 x z)) |
(+.f64 (*.f64 3 x) z) |
(fma.f64 3 x z) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(fma.f64 3 x (fma.f64 2 y z)) |
(fma.f64 2 y (fma.f64 3 x z)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(fma.f64 3 x (fma.f64 2 y z)) |
(fma.f64 2 y (fma.f64 3 x z)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(fma.f64 3 x (fma.f64 2 y z)) |
(fma.f64 2 y (fma.f64 3 x z)) |
(*.f64 2 y) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(fma.f64 3 x (fma.f64 2 y z)) |
(fma.f64 2 y (fma.f64 3 x z)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(fma.f64 3 x (fma.f64 2 y z)) |
(fma.f64 2 y (fma.f64 3 x z)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(fma.f64 3 x (fma.f64 2 y z)) |
(fma.f64 2 y (fma.f64 3 x z)) |
(*.f64 2 y) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(fma.f64 3 x (fma.f64 2 y z)) |
(fma.f64 2 y (fma.f64 3 x z)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(fma.f64 3 x (fma.f64 2 y z)) |
(fma.f64 2 y (fma.f64 3 x z)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(fma.f64 3 x (fma.f64 2 y z)) |
(fma.f64 2 y (fma.f64 3 x z)) |
(+.f64 (*.f64 3 x) (*.f64 2 y)) |
(fma.f64 3 x (*.f64 2 y)) |
(fma.f64 2 y (*.f64 3 x)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(fma.f64 3 x (fma.f64 2 y z)) |
(fma.f64 2 y (fma.f64 3 x z)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(fma.f64 3 x (fma.f64 2 y z)) |
(fma.f64 2 y (fma.f64 3 x z)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(fma.f64 3 x (fma.f64 2 y z)) |
(fma.f64 2 y (fma.f64 3 x z)) |
z |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(fma.f64 3 x (fma.f64 2 y z)) |
(fma.f64 2 y (fma.f64 3 x z)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(fma.f64 3 x (fma.f64 2 y z)) |
(fma.f64 2 y (fma.f64 3 x z)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(fma.f64 3 x (fma.f64 2 y z)) |
(fma.f64 2 y (fma.f64 3 x z)) |
z |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(fma.f64 3 x (fma.f64 2 y z)) |
(fma.f64 2 y (fma.f64 3 x z)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(fma.f64 3 x (fma.f64 2 y z)) |
(fma.f64 2 y (fma.f64 3 x z)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 y) z)) |
(fma.f64 3 x (fma.f64 2 y z)) |
(fma.f64 2 y (fma.f64 3 x z)) |
(+.f64 (fma.f64 y 2 z) (*.f64 x 3)) |
(fma.f64 3 x (fma.f64 2 y z)) |
(fma.f64 2 y (fma.f64 3 x z)) |
(+.f64 (*.f64 x 3) (fma.f64 y 2 z)) |
(fma.f64 3 x (fma.f64 2 y z)) |
(fma.f64 2 y (fma.f64 3 x z)) |
(+.f64 (+.f64 (*.f64 x 3) (*.f64 y 2)) z) |
(fma.f64 3 x (fma.f64 2 y z)) |
(fma.f64 2 y (fma.f64 3 x z)) |
(+.f64 (*.f64 (*.f64 x 3) 1) (fma.f64 y 2 z)) |
(fma.f64 3 x (fma.f64 2 y z)) |
(fma.f64 2 y (fma.f64 3 x z)) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 3 (fma.f64 y 2 z)))) 1) |
(fma.f64 3 x (fma.f64 2 y z)) |
(fma.f64 2 y (fma.f64 3 x z)) |
(*.f64 (fma.f64 x 3 (fma.f64 y 2 z)) 1) |
(fma.f64 3 x (fma.f64 2 y z)) |
(fma.f64 2 y (fma.f64 3 x z)) |
(*.f64 1 (fma.f64 x 3 (fma.f64 y 2 z))) |
(fma.f64 3 x (fma.f64 2 y z)) |
(fma.f64 2 y (fma.f64 3 x z)) |
(*.f64 (sqrt.f64 (fma.f64 x 3 (fma.f64 y 2 z))) (sqrt.f64 (fma.f64 x 3 (fma.f64 y 2 z)))) |
(fma.f64 3 x (fma.f64 2 y z)) |
(fma.f64 2 y (fma.f64 3 x z)) |
(*.f64 (cbrt.f64 (fma.f64 x 3 (fma.f64 y 2 z))) (pow.f64 (cbrt.f64 (fma.f64 x 3 (fma.f64 y 2 z))) 2)) |
(fma.f64 3 x (fma.f64 2 y z)) |
(fma.f64 2 y (fma.f64 3 x z)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 3 (fma.f64 y 2 z))) 2) (cbrt.f64 (fma.f64 x 3 (fma.f64 y 2 z)))) |
(fma.f64 3 x (fma.f64 2 y z)) |
(fma.f64 2 y (fma.f64 3 x z)) |
(/.f64 (-.f64 (*.f64 (*.f64 x 3) (*.f64 x 3)) (pow.f64 (fma.f64 y 2 z) 2)) (-.f64 (*.f64 x 3) (fma.f64 y 2 z))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) 9) (pow.f64 (fma.f64 2 y z) 2)) (-.f64 (*.f64 3 x) (fma.f64 2 y z))) |
(/.f64 (-.f64 (*.f64 x (*.f64 9 x)) (pow.f64 (fma.f64 2 y z) 2)) (-.f64 (*.f64 3 x) (fma.f64 2 y z))) |
(/.f64 (-.f64 (*.f64 x (*.f64 x 9)) (pow.f64 (fma.f64 2 y z) 2)) (-.f64 (*.f64 3 x) (fma.f64 2 y z))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x 3) 3) (pow.f64 (fma.f64 y 2 z) 3)) (+.f64 (*.f64 (*.f64 x 3) (*.f64 x 3)) (-.f64 (pow.f64 (fma.f64 y 2 z) 2) (*.f64 (*.f64 x 3) (fma.f64 y 2 z))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 3 x) 3) (pow.f64 (fma.f64 2 y z) 3)) (+.f64 (*.f64 (*.f64 x x) 9) (-.f64 (pow.f64 (fma.f64 2 y z) 2) (*.f64 (fma.f64 2 y z) (*.f64 3 x))))) |
(/.f64 (fma.f64 (pow.f64 x 3) 27 (pow.f64 (fma.f64 2 y z) 3)) (fma.f64 x (*.f64 9 x) (*.f64 (fma.f64 2 y z) (-.f64 (fma.f64 2 y z) (*.f64 3 x))))) |
(/.f64 (fma.f64 (pow.f64 x 3) 27 (pow.f64 (fma.f64 2 y z) 3)) (fma.f64 (fma.f64 2 y z) (+.f64 (fma.f64 2 y z) (*.f64 x -3)) (*.f64 x (*.f64 x 9)))) |
(pow.f64 (fma.f64 x 3 (fma.f64 y 2 z)) 1) |
(fma.f64 3 x (fma.f64 2 y z)) |
(fma.f64 2 y (fma.f64 3 x z)) |
(pow.f64 (sqrt.f64 (fma.f64 x 3 (fma.f64 y 2 z))) 2) |
(fma.f64 3 x (fma.f64 2 y z)) |
(fma.f64 2 y (fma.f64 3 x z)) |
(pow.f64 (cbrt.f64 (fma.f64 x 3 (fma.f64 y 2 z))) 3) |
(fma.f64 3 x (fma.f64 2 y z)) |
(fma.f64 2 y (fma.f64 3 x z)) |
(pow.f64 (pow.f64 (fma.f64 x 3 (fma.f64 y 2 z)) 3) 1/3) |
(fma.f64 3 x (fma.f64 2 y z)) |
(fma.f64 2 y (fma.f64 3 x z)) |
(sqrt.f64 (pow.f64 (fma.f64 x 3 (fma.f64 y 2 z)) 2)) |
(fma.f64 3 x (fma.f64 2 y z)) |
(fma.f64 2 y (fma.f64 3 x z)) |
(log.f64 (exp.f64 (fma.f64 x 3 (fma.f64 y 2 z)))) |
(fma.f64 3 x (fma.f64 2 y z)) |
(fma.f64 2 y (fma.f64 3 x z)) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 3 (fma.f64 y 2 z))))) |
(fma.f64 3 x (fma.f64 2 y z)) |
(fma.f64 2 y (fma.f64 3 x z)) |
(cbrt.f64 (pow.f64 (fma.f64 x 3 (fma.f64 y 2 z)) 3)) |
(fma.f64 3 x (fma.f64 2 y z)) |
(fma.f64 2 y (fma.f64 3 x z)) |
(expm1.f64 (log1p.f64 (fma.f64 x 3 (fma.f64 y 2 z)))) |
(fma.f64 3 x (fma.f64 2 y z)) |
(fma.f64 2 y (fma.f64 3 x z)) |
(exp.f64 (log.f64 (fma.f64 x 3 (fma.f64 y 2 z)))) |
(fma.f64 3 x (fma.f64 2 y z)) |
(fma.f64 2 y (fma.f64 3 x z)) |
(exp.f64 (*.f64 (log.f64 (fma.f64 x 3 (fma.f64 y 2 z))) 1)) |
(fma.f64 3 x (fma.f64 2 y z)) |
(fma.f64 2 y (fma.f64 3 x z)) |
(log1p.f64 (expm1.f64 (fma.f64 x 3 (fma.f64 y 2 z)))) |
(fma.f64 3 x (fma.f64 2 y z)) |
(fma.f64 2 y (fma.f64 3 x z)) |
Compiled 4119 to 2180 computations (47.1% saved)
10 alts after pruning (9 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 177 | 9 | 186 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 178 | 10 | 188 |
| Status | Error | Program |
|---|---|---|
| ▶ | 22.7b | (fma.f64 3 x (*.f64 2 y)) |
| ▶ | 19.4b | (fma.f64 3 x z) |
| 19.4b | (+.f64 (*.f64 3 x) z) | |
| 22.7b | (+.f64 (*.f64 2 (+.f64 y x)) x) | |
| ▶ | 23.0b | (+.f64 (*.f64 2 y) z) |
| ▶ | 19.4b | (+.f64 (*.f64 2 x) (+.f64 z x)) |
| ✓ | 0.0b | (+.f64 x (+.f64 (*.f64 2 (+.f64 x y)) z)) |
| 41.2b | (*.f64 3 x) | |
| ▶ | 44.6b | (*.f64 2 y) |
| 41.4b | z |
Compiled 144 to 107 computations (25.7% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (fma.f64 3 x z) |
Compiled 10 to 6 computations (40% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (fma.f64 3 x z) |
| 0.0ms | x | @ | -inf | (fma.f64 3 x z) |
| 0.0ms | z | @ | 0 | (fma.f64 3 x z) |
| 0.0ms | x | @ | inf | (fma.f64 3 x z) |
| 0.0ms | z | @ | inf | (fma.f64 3 x z) |
| 1× | batch-egg-rewrite |
| 1128× | add-sqr-sqrt |
| 1114× | *-un-lft-identity |
| 1062× | pow1 |
| 1034× | add-cube-cbrt |
| 1024× | add-cbrt-cube |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 9 |
| 1 | 121 | 9 |
| 2 | 1363 | 9 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 3 x z) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 z (*.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3 x) z)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 3 x) 1) z)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 3 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 3 x z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 3 x z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 3 x z)) (sqrt.f64 (fma.f64 3 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 3 x z)) (pow.f64 (cbrt.f64 (fma.f64 3 x z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 3 x z)) 2) (cbrt.f64 (fma.f64 3 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 3 x) (*.f64 3 x)) (*.f64 z z)) (-.f64 (*.f64 3 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 3 x) 3) (pow.f64 z 3)) (+.f64 (*.f64 (*.f64 3 x) (*.f64 3 x)) (-.f64 (*.f64 z z) (*.f64 (*.f64 3 x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 3 x z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 3 x z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 3 x z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 3 x z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 3 x z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 3 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 3 x z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 3 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 3 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 3 x z))))))) |
| 1× | egg-herbie |
| 1114× | fma-def |
| 1004× | associate-*r* |
| 820× | times-frac |
| 820× | associate-*l* |
| 790× | associate-/r/ |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 433 |
| 1 | 144 | 425 |
| 2 | 647 | 425 |
| 3 | 3125 | 421 |
| 4 | 7094 | 421 |
| 1× | node limit |
| Inputs |
|---|
z |
(+.f64 (*.f64 3 x) z) |
(+.f64 (*.f64 3 x) z) |
(+.f64 (*.f64 3 x) z) |
(*.f64 3 x) |
(+.f64 (*.f64 3 x) z) |
(+.f64 (*.f64 3 x) z) |
(+.f64 (*.f64 3 x) z) |
(*.f64 3 x) |
(+.f64 (*.f64 3 x) z) |
(+.f64 (*.f64 3 x) z) |
(+.f64 (*.f64 3 x) z) |
(*.f64 3 x) |
(+.f64 (*.f64 3 x) z) |
(+.f64 (*.f64 3 x) z) |
(+.f64 (*.f64 3 x) z) |
z |
(+.f64 (*.f64 3 x) z) |
(+.f64 (*.f64 3 x) z) |
(+.f64 (*.f64 3 x) z) |
z |
(+.f64 (*.f64 3 x) z) |
(+.f64 (*.f64 3 x) z) |
(+.f64 (*.f64 3 x) z) |
(+.f64 z (*.f64 3 x)) |
(+.f64 (*.f64 3 x) z) |
(+.f64 (*.f64 (*.f64 3 x) 1) z) |
(-.f64 (+.f64 1 (fma.f64 3 x z)) 1) |
(*.f64 (fma.f64 3 x z) 1) |
(*.f64 1 (fma.f64 3 x z)) |
(*.f64 (sqrt.f64 (fma.f64 3 x z)) (sqrt.f64 (fma.f64 3 x z))) |
(*.f64 (cbrt.f64 (fma.f64 3 x z)) (pow.f64 (cbrt.f64 (fma.f64 3 x z)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 3 x z)) 2) (cbrt.f64 (fma.f64 3 x z))) |
(/.f64 (-.f64 (*.f64 (*.f64 3 x) (*.f64 3 x)) (*.f64 z z)) (-.f64 (*.f64 3 x) z)) |
(/.f64 (+.f64 (pow.f64 (*.f64 3 x) 3) (pow.f64 z 3)) (+.f64 (*.f64 (*.f64 3 x) (*.f64 3 x)) (-.f64 (*.f64 z z) (*.f64 (*.f64 3 x) z)))) |
(pow.f64 (fma.f64 3 x z) 1) |
(pow.f64 (sqrt.f64 (fma.f64 3 x z)) 2) |
(pow.f64 (cbrt.f64 (fma.f64 3 x z)) 3) |
(pow.f64 (pow.f64 (fma.f64 3 x z) 3) 1/3) |
(sqrt.f64 (pow.f64 (fma.f64 3 x z) 2)) |
(log.f64 (exp.f64 (fma.f64 3 x z))) |
(cbrt.f64 (pow.f64 (fma.f64 3 x z) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 3 x z))) |
(exp.f64 (log.f64 (fma.f64 3 x z))) |
(log1p.f64 (expm1.f64 (fma.f64 3 x z))) |
| Outputs |
|---|
z |
(+.f64 (*.f64 3 x) z) |
(fma.f64 3 x z) |
(+.f64 (*.f64 3 x) z) |
(fma.f64 3 x z) |
(+.f64 (*.f64 3 x) z) |
(fma.f64 3 x z) |
(*.f64 3 x) |
(+.f64 (*.f64 3 x) z) |
(fma.f64 3 x z) |
(+.f64 (*.f64 3 x) z) |
(fma.f64 3 x z) |
(+.f64 (*.f64 3 x) z) |
(fma.f64 3 x z) |
(*.f64 3 x) |
(+.f64 (*.f64 3 x) z) |
(fma.f64 3 x z) |
(+.f64 (*.f64 3 x) z) |
(fma.f64 3 x z) |
(+.f64 (*.f64 3 x) z) |
(fma.f64 3 x z) |
(*.f64 3 x) |
(+.f64 (*.f64 3 x) z) |
(fma.f64 3 x z) |
(+.f64 (*.f64 3 x) z) |
(fma.f64 3 x z) |
(+.f64 (*.f64 3 x) z) |
(fma.f64 3 x z) |
z |
(+.f64 (*.f64 3 x) z) |
(fma.f64 3 x z) |
(+.f64 (*.f64 3 x) z) |
(fma.f64 3 x z) |
(+.f64 (*.f64 3 x) z) |
(fma.f64 3 x z) |
z |
(+.f64 (*.f64 3 x) z) |
(fma.f64 3 x z) |
(+.f64 (*.f64 3 x) z) |
(fma.f64 3 x z) |
(+.f64 (*.f64 3 x) z) |
(fma.f64 3 x z) |
(+.f64 z (*.f64 3 x)) |
(fma.f64 3 x z) |
(+.f64 (*.f64 3 x) z) |
(fma.f64 3 x z) |
(+.f64 (*.f64 (*.f64 3 x) 1) z) |
(fma.f64 3 x z) |
(-.f64 (+.f64 1 (fma.f64 3 x z)) 1) |
(fma.f64 3 x z) |
(*.f64 (fma.f64 3 x z) 1) |
(fma.f64 3 x z) |
(*.f64 1 (fma.f64 3 x z)) |
(fma.f64 3 x z) |
(*.f64 (sqrt.f64 (fma.f64 3 x z)) (sqrt.f64 (fma.f64 3 x z))) |
(fma.f64 3 x z) |
(*.f64 (cbrt.f64 (fma.f64 3 x z)) (pow.f64 (cbrt.f64 (fma.f64 3 x z)) 2)) |
(fma.f64 3 x z) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 3 x z)) 2) (cbrt.f64 (fma.f64 3 x z))) |
(fma.f64 3 x z) |
(/.f64 (-.f64 (*.f64 (*.f64 3 x) (*.f64 3 x)) (*.f64 z z)) (-.f64 (*.f64 3 x) z)) |
(fma.f64 3 x z) |
(/.f64 (+.f64 (pow.f64 (*.f64 3 x) 3) (pow.f64 z 3)) (+.f64 (*.f64 (*.f64 3 x) (*.f64 3 x)) (-.f64 (*.f64 z z) (*.f64 (*.f64 3 x) z)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 3 x) 3) (pow.f64 z 3)) (+.f64 (*.f64 9 (*.f64 x x)) (*.f64 z (-.f64 z (*.f64 3 x))))) |
(/.f64 (fma.f64 27 (pow.f64 x 3) (pow.f64 z 3)) (fma.f64 z (+.f64 z (*.f64 x -3)) (*.f64 x (*.f64 x 9)))) |
(/.f64 (fma.f64 27 (pow.f64 x 3) (pow.f64 z 3)) (fma.f64 z z (*.f64 (*.f64 3 x) (-.f64 (*.f64 3 x) z)))) |
(/.f64 (fma.f64 27 (pow.f64 x 3) (pow.f64 z 3)) (fma.f64 z (fma.f64 x -3 z) (*.f64 x (*.f64 x 9)))) |
(pow.f64 (fma.f64 3 x z) 1) |
(fma.f64 3 x z) |
(pow.f64 (sqrt.f64 (fma.f64 3 x z)) 2) |
(fma.f64 3 x z) |
(pow.f64 (cbrt.f64 (fma.f64 3 x z)) 3) |
(fma.f64 3 x z) |
(pow.f64 (pow.f64 (fma.f64 3 x z) 3) 1/3) |
(fma.f64 3 x z) |
(sqrt.f64 (pow.f64 (fma.f64 3 x z) 2)) |
(fma.f64 3 x z) |
(log.f64 (exp.f64 (fma.f64 3 x z))) |
(fma.f64 3 x z) |
(cbrt.f64 (pow.f64 (fma.f64 3 x z) 3)) |
(fma.f64 3 x z) |
(expm1.f64 (log1p.f64 (fma.f64 3 x z))) |
(fma.f64 3 x z) |
(exp.f64 (log.f64 (fma.f64 3 x z))) |
(fma.f64 3 x z) |
(log1p.f64 (expm1.f64 (fma.f64 3 x z))) |
(fma.f64 3 x z) |
Compiled 8 to 6 computations (25% saved)
Compiled 14 to 9 computations (35.7% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 2 x) (+.f64 z x)) |
Compiled 19 to 10 computations (47.4% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (+.f64 (*.f64 2 x) (+.f64 z x)) |
| 0.0ms | z | @ | 0 | (+.f64 (*.f64 2 x) (+.f64 z x)) |
| 0.0ms | x | @ | inf | (+.f64 (*.f64 2 x) (+.f64 z x)) |
| 0.0ms | z | @ | -inf | (+.f64 (*.f64 2 x) (+.f64 z x)) |
| 0.0ms | x | @ | -inf | (+.f64 (*.f64 2 x) (+.f64 z x)) |
| 1× | batch-egg-rewrite |
| 1026× | associate-*r/ |
| 884× | *-commutative |
| 800× | distribute-lft-in |
| 778× | distribute-rgt-in |
| 706× | associate-*l/ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 15 |
| 1 | 184 | 15 |
| 2 | 2597 | 13 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 2 x) (+.f64 z x)) |
| Outputs |
|---|
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fma.f64 2 x (+.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 2 (+.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 2 x) (+.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x z) (*.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 2 x)) (sqrt.f64 (*.f64 2 x)) (+.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x z)) (sqrt.f64 (+.f64 x z)) (*.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 4 (*.f64 x x))) (cbrt.f64 (*.f64 2 x)) (+.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x z)) 2) (cbrt.f64 (+.f64 x z)) (*.f64 2 x)))))) |
| 1× | egg-herbie |
| 748× | unswap-sqr |
| 582× | +-commutative |
| 576× | associate-+r+ |
| 552× | associate-+l+ |
| 450× | associate-/l* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 268 | 4707 |
| 1 | 840 | 4239 |
| 2 | 4322 | 4219 |
| 1× | node limit |
| Inputs |
|---|
z |
(+.f64 (*.f64 3 x) z) |
(+.f64 (*.f64 3 x) z) |
(+.f64 (*.f64 3 x) z) |
(*.f64 3 x) |
(+.f64 (*.f64 3 x) z) |
(+.f64 (*.f64 3 x) z) |
(+.f64 (*.f64 3 x) z) |
(*.f64 3 x) |
(+.f64 (*.f64 3 x) z) |
(+.f64 (*.f64 3 x) z) |
(+.f64 (*.f64 3 x) z) |
(+.f64 (*.f64 2 x) x) |
z |
z |
(-.f64 (exp.f64 (log1p.f64 (+.f64 x z))) (-.f64 1 (*.f64 2 x))) |
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (fma.f64 2 x z))) |
(-.f64 (exp.f64 (log1p.f64 z)) (-.f64 1 (*.f64 x 3))) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 z (*.f64 x 3)))) 1) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 x))) (-.f64 1 (+.f64 x z))) |
(-.f64 (/.f64 z (/.f64 (-.f64 z x) z)) (-.f64 (/.f64 (*.f64 x x) (-.f64 z x)) (*.f64 2 x))) |
(-.f64 (/.f64 (*.f64 4 (*.f64 x x)) (-.f64 x z)) (/.f64 (pow.f64 (+.f64 x z) 2) (-.f64 x z))) |
(-.f64 (+.f64 (*.f64 2 x) (exp.f64 (log1p.f64 (+.f64 x z)))) 1) |
(-.f64 (+.f64 (*.f64 2 x) (/.f64 z (/.f64 (-.f64 z x) z))) (/.f64 (*.f64 x x) (-.f64 z x))) |
(-.f64 (+.f64 (+.f64 x z) (exp.f64 (log1p.f64 (*.f64 2 x)))) 1) |
(-.f64 (+.f64 (fma.f64 2 x z) (exp.f64 (log1p.f64 x))) 1) |
(-.f64 (+.f64 (*.f64 x 3) (exp.f64 (log1p.f64 z))) 1) |
(*.f64 (+.f64 z (*.f64 x 3)) 1) |
(*.f64 1 (+.f64 z (*.f64 x 3))) |
(*.f64 (sqrt.f64 (+.f64 z (*.f64 x 3))) (sqrt.f64 (+.f64 z (*.f64 x 3)))) |
(*.f64 (cbrt.f64 (+.f64 z (*.f64 x 3))) (pow.f64 (cbrt.f64 (+.f64 z (*.f64 x 3))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 z (*.f64 x 3))) 2) (cbrt.f64 (+.f64 z (*.f64 x 3)))) |
(*.f64 (*.f64 (+.f64 z (*.f64 x 3)) (-.f64 x z)) (/.f64 1 (-.f64 x z))) |
(*.f64 (+.f64 (*.f64 8 (pow.f64 x 3)) (pow.f64 (+.f64 x z) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x z) 2) (*.f64 (*.f64 2 x) (-.f64 x z))))) |
(*.f64 (/.f64 1 (-.f64 x z)) (*.f64 (+.f64 z (*.f64 x 3)) (-.f64 x z))) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 x z) 2) (*.f64 (*.f64 2 x) (-.f64 x z)))) (+.f64 (*.f64 8 (pow.f64 x 3)) (pow.f64 (+.f64 x z) 3))) |
(*.f64 (/.f64 (*.f64 (+.f64 z (*.f64 x 3)) (-.f64 x z)) (*.f64 (+.f64 z (*.f64 x 3)) (-.f64 x z))) (+.f64 z (*.f64 x 3))) |
(*.f64 (/.f64 (*.f64 (+.f64 z (*.f64 x 3)) (-.f64 x z)) (-.f64 (*.f64 8 (pow.f64 x 3)) (pow.f64 (+.f64 x z) 3))) (+.f64 (*.f64 4 (*.f64 x x)) (*.f64 (+.f64 x z) (+.f64 z (*.f64 x 3))))) |
(*.f64 (/.f64 (+.f64 (*.f64 8 (pow.f64 x 3)) (pow.f64 (+.f64 x z) 3)) (-.f64 (*.f64 (*.f64 4 (*.f64 x x)) (*.f64 4 (*.f64 x x))) (*.f64 (*.f64 (+.f64 x z) (+.f64 z (-.f64 x (*.f64 2 x)))) (*.f64 (+.f64 x z) (+.f64 z (-.f64 x (*.f64 2 x))))))) (+.f64 (*.f64 (+.f64 z (*.f64 x 3)) (-.f64 x z)) (*.f64 (*.f64 2 x) (+.f64 x z)))) |
(*.f64 (/.f64 (+.f64 (*.f64 8 (pow.f64 x 3)) (pow.f64 (+.f64 x z) 3)) (+.f64 (pow.f64 (*.f64 4 (*.f64 x x)) 3) (pow.f64 (*.f64 (+.f64 x z) (+.f64 z (-.f64 x (*.f64 2 x)))) 3))) (+.f64 (*.f64 (*.f64 4 (*.f64 x x)) (*.f64 4 (*.f64 x x))) (*.f64 (*.f64 (+.f64 x z) (+.f64 z (-.f64 x (*.f64 2 x)))) (-.f64 (*.f64 (+.f64 x z) (+.f64 z (-.f64 x (*.f64 2 x)))) (*.f64 4 (*.f64 x x)))))) |
(/.f64 (+.f64 z (*.f64 x 3)) (/.f64 (-.f64 x z) (-.f64 x z))) |
(/.f64 1 (/.f64 1 (+.f64 z (*.f64 x 3)))) |
(/.f64 (*.f64 (+.f64 z (*.f64 x 3)) (-.f64 x z)) (-.f64 x z)) |
(/.f64 (+.f64 (*.f64 8 (pow.f64 x 3)) (pow.f64 (+.f64 x z) 3)) (+.f64 (pow.f64 (+.f64 x z) 2) (*.f64 (*.f64 2 x) (-.f64 x z)))) |
(/.f64 (+.f64 (pow.f64 (+.f64 x z) 2) (*.f64 (*.f64 2 x) (-.f64 x z))) (/.f64 (+.f64 (pow.f64 (+.f64 x z) 2) (*.f64 (*.f64 2 x) (-.f64 x z))) (+.f64 z (*.f64 x 3)))) |
(/.f64 (sqrt.f64 (*.f64 (+.f64 z (*.f64 x 3)) (-.f64 x z))) (/.f64 (-.f64 x z) (sqrt.f64 (*.f64 (+.f64 z (*.f64 x 3)) (-.f64 x z))))) |
(/.f64 (sqrt.f64 (+.f64 (*.f64 8 (pow.f64 x 3)) (pow.f64 (+.f64 x z) 3))) (/.f64 (+.f64 (pow.f64 (+.f64 x z) 2) (*.f64 (*.f64 2 x) (-.f64 x z))) (sqrt.f64 (+.f64 (*.f64 8 (pow.f64 x 3)) (pow.f64 (+.f64 x z) 3))))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 (+.f64 z (*.f64 x 3)) (-.f64 x z))) (cbrt.f64 (*.f64 (+.f64 z (*.f64 x 3)) (-.f64 x z)))) (/.f64 (-.f64 x z) (cbrt.f64 (*.f64 (+.f64 z (*.f64 x 3)) (-.f64 x z))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 8 (pow.f64 x 3)) (pow.f64 (+.f64 x z) 3))) (cbrt.f64 (+.f64 (*.f64 8 (pow.f64 x 3)) (pow.f64 (+.f64 x z) 3)))) (/.f64 (+.f64 (pow.f64 (+.f64 x z) 2) (*.f64 (*.f64 2 x) (-.f64 x z))) (cbrt.f64 (+.f64 (*.f64 8 (pow.f64 x 3)) (pow.f64 (+.f64 x z) 3))))) |
(/.f64 (-.f64 (*.f64 (*.f64 8 (pow.f64 x 3)) (*.f64 8 (pow.f64 x 3))) (*.f64 (pow.f64 (+.f64 x z) 3) (pow.f64 (+.f64 x z) 3))) (*.f64 (+.f64 (pow.f64 (+.f64 x z) 2) (*.f64 (*.f64 2 x) (-.f64 x z))) (-.f64 (*.f64 8 (pow.f64 x 3)) (pow.f64 (+.f64 x z) 3)))) |
(/.f64 (+.f64 (pow.f64 (+.f64 x z) 2) (*.f64 -4 (*.f64 x x))) (+.f64 z (-.f64 x (*.f64 2 x)))) |
(/.f64 (-.f64 (*.f64 (fma.f64 2 x z) (fma.f64 2 x z)) (*.f64 x x)) (+.f64 x z)) |
(/.f64 (-.f64 (*.f64 (*.f64 4 (*.f64 x x)) (*.f64 4 (*.f64 x x))) (*.f64 (pow.f64 (+.f64 x z) 2) (pow.f64 (+.f64 x z) 2))) (*.f64 (-.f64 x z) (+.f64 (*.f64 4 (*.f64 x x)) (pow.f64 (+.f64 x z) 2)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 8 (pow.f64 x 3)) 3) (pow.f64 (pow.f64 (+.f64 x z) 3) 3)) (*.f64 (+.f64 (pow.f64 (+.f64 x z) 2) (*.f64 (*.f64 2 x) (-.f64 x z))) (+.f64 (*.f64 (*.f64 8 (pow.f64 x 3)) (*.f64 8 (pow.f64 x 3))) (*.f64 (pow.f64 (+.f64 x z) 3) (-.f64 (pow.f64 (+.f64 x z) 3) (*.f64 8 (pow.f64 x 3))))))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 2 x z) 3)) (+.f64 (*.f64 (fma.f64 2 x z) (fma.f64 2 x z)) (*.f64 x (-.f64 x (fma.f64 2 x z))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 4 (*.f64 x x)) 3) (pow.f64 (pow.f64 (+.f64 x z) 2) 3)) (*.f64 (-.f64 x z) (+.f64 (*.f64 (*.f64 4 (*.f64 x x)) (*.f64 4 (*.f64 x x))) (*.f64 (pow.f64 (+.f64 x z) 2) (+.f64 (*.f64 4 (*.f64 x x)) (pow.f64 (+.f64 x z) 2)))))) |
(/.f64 (*.f64 (+.f64 z (*.f64 x 3)) (neg.f64 (-.f64 x z))) (neg.f64 (-.f64 x z))) |
(/.f64 (neg.f64 (+.f64 (*.f64 8 (pow.f64 x 3)) (pow.f64 (+.f64 x z) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 x z) 2) (*.f64 (*.f64 2 x) (-.f64 x z))))) |
(/.f64 (*.f64 1 (-.f64 (*.f64 (fma.f64 2 x z) (fma.f64 2 x z)) (*.f64 x x))) (+.f64 x z)) |
(/.f64 (*.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 2 x z) 3))) (+.f64 (*.f64 (fma.f64 2 x z) (fma.f64 2 x z)) (*.f64 x (-.f64 x (fma.f64 2 x z))))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 z (*.f64 x 3))) (sqrt.f64 (*.f64 (+.f64 z (*.f64 x 3)) (-.f64 x z)))) (sqrt.f64 (-.f64 x z))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 z (*.f64 x 3))) (sqrt.f64 (+.f64 (*.f64 8 (pow.f64 x 3)) (pow.f64 (+.f64 x z) 3)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x z) 2) (*.f64 (*.f64 2 x) (-.f64 x z))))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 z (*.f64 x 3))) 2) (cbrt.f64 (*.f64 (+.f64 z (*.f64 x 3)) (-.f64 x z)))) (cbrt.f64 (-.f64 x z))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 z (*.f64 x 3))) 2) (cbrt.f64 (+.f64 (*.f64 8 (pow.f64 x 3)) (pow.f64 (+.f64 x z) 3)))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x z) 2) (*.f64 (*.f64 2 x) (-.f64 x z))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 x z) 2) (*.f64 -4 (*.f64 x x))) 1) (+.f64 z (-.f64 x (*.f64 2 x)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (fma.f64 2 x z) (fma.f64 2 x z)) (*.f64 x x)) 1) (+.f64 x z)) |
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 2 x z) 3)) 1) (+.f64 (*.f64 (fma.f64 2 x z) (fma.f64 2 x z)) (*.f64 x (-.f64 x (fma.f64 2 x z))))) |
(/.f64 (*.f64 (*.f64 (+.f64 z (*.f64 x 3)) (neg.f64 (-.f64 x z))) 1) (neg.f64 (-.f64 x z))) |
(/.f64 (*.f64 (neg.f64 (+.f64 (*.f64 8 (pow.f64 x 3)) (pow.f64 (+.f64 x z) 3))) 1) (neg.f64 (+.f64 (pow.f64 (+.f64 x z) 2) (*.f64 (*.f64 2 x) (-.f64 x z))))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (+.f64 z (*.f64 x 3)) (-.f64 x z))) (sqrt.f64 (+.f64 z (*.f64 x 3)))) (sqrt.f64 (-.f64 x z))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 8 (pow.f64 x 3)) (pow.f64 (+.f64 x z) 3))) (sqrt.f64 (+.f64 z (*.f64 x 3)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x z) 2) (*.f64 (*.f64 2 x) (-.f64 x z))))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 (+.f64 z (*.f64 x 3)) (-.f64 x z))) (pow.f64 (cbrt.f64 (+.f64 z (*.f64 x 3))) 2)) (cbrt.f64 (-.f64 x z))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 8 (pow.f64 x 3)) (pow.f64 (+.f64 x z) 3))) (pow.f64 (cbrt.f64 (+.f64 z (*.f64 x 3))) 2)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x z) 2) (*.f64 (*.f64 2 x) (-.f64 x z))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 4 (*.f64 x x)) (*.f64 4 (*.f64 x x))) (*.f64 (pow.f64 (+.f64 x z) 2) (pow.f64 (+.f64 x z) 2))) (/.f64 1 (-.f64 x z))) (+.f64 (*.f64 4 (*.f64 x x)) (pow.f64 (+.f64 x z) 2))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 4 (*.f64 x x)) 3) (pow.f64 (pow.f64 (+.f64 x z) 2) 3)) (/.f64 1 (-.f64 x z))) (+.f64 (*.f64 (*.f64 4 (*.f64 x x)) (*.f64 4 (*.f64 x x))) (*.f64 (pow.f64 (+.f64 x z) 2) (+.f64 (*.f64 4 (*.f64 x x)) (pow.f64 (+.f64 x z) 2))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 8 (pow.f64 x 3)) (*.f64 8 (pow.f64 x 3))) (*.f64 (pow.f64 (+.f64 x z) 3) (pow.f64 (+.f64 x z) 3))) (/.f64 1 (+.f64 (pow.f64 (+.f64 x z) 2) (*.f64 (*.f64 2 x) (-.f64 x z))))) (-.f64 (*.f64 8 (pow.f64 x 3)) (pow.f64 (+.f64 x z) 3))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 8 (pow.f64 x 3)) 3) (pow.f64 (pow.f64 (+.f64 x z) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x z) 2) (*.f64 (*.f64 2 x) (-.f64 x z))))) (+.f64 (*.f64 (*.f64 8 (pow.f64 x 3)) (*.f64 8 (pow.f64 x 3))) (*.f64 (pow.f64 (+.f64 x z) 3) (-.f64 (pow.f64 (+.f64 x z) 3) (*.f64 8 (pow.f64 x 3)))))) |
(/.f64 (/.f64 (*.f64 (+.f64 z (*.f64 x 3)) (-.f64 x z)) 1) (-.f64 x z)) |
(/.f64 (/.f64 (*.f64 (+.f64 z (*.f64 x 3)) (-.f64 x z)) (sqrt.f64 (-.f64 x z))) (sqrt.f64 (-.f64 x z))) |
(/.f64 (/.f64 (*.f64 (+.f64 z (*.f64 x 3)) (-.f64 x z)) (*.f64 (cbrt.f64 (-.f64 x z)) (cbrt.f64 (-.f64 x z)))) (cbrt.f64 (-.f64 x z))) |
(/.f64 (/.f64 (*.f64 (+.f64 z (*.f64 x 3)) (-.f64 x z)) (+.f64 (sqrt.f64 (*.f64 2 x)) (sqrt.f64 (+.f64 x z)))) (-.f64 (sqrt.f64 (*.f64 2 x)) (sqrt.f64 (+.f64 x z)))) |
(/.f64 (/.f64 (+.f64 (*.f64 8 (pow.f64 x 3)) (pow.f64 (+.f64 x z) 3)) 1) (+.f64 (pow.f64 (+.f64 x z) 2) (*.f64 (*.f64 2 x) (-.f64 x z)))) |
(/.f64 (/.f64 (+.f64 (*.f64 8 (pow.f64 x 3)) (pow.f64 (+.f64 x z) 3)) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x z) 2) (*.f64 (*.f64 2 x) (-.f64 x z))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x z) 2) (*.f64 (*.f64 2 x) (-.f64 x z))))) |
(/.f64 (/.f64 (+.f64 (*.f64 8 (pow.f64 x 3)) (pow.f64 (+.f64 x z) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 x z) 2) (*.f64 (*.f64 2 x) (-.f64 x z)))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x z) 2) (*.f64 (*.f64 2 x) (-.f64 x z)))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x z) 2) (*.f64 (*.f64 2 x) (-.f64 x z))))) |
(pow.f64 (+.f64 z (*.f64 x 3)) 1) |
(pow.f64 (sqrt.f64 (+.f64 z (*.f64 x 3))) 2) |
(pow.f64 (cbrt.f64 (+.f64 z (*.f64 x 3))) 3) |
(pow.f64 (pow.f64 (+.f64 z (*.f64 x 3)) 3) 1/3) |
(neg.f64 (/.f64 (*.f64 (+.f64 z (*.f64 x 3)) (-.f64 x z)) (neg.f64 (-.f64 x z)))) |
(neg.f64 (/.f64 (+.f64 (*.f64 8 (pow.f64 x 3)) (pow.f64 (+.f64 x z) 3)) (neg.f64 (+.f64 (pow.f64 (+.f64 x z) 2) (*.f64 (*.f64 2 x) (-.f64 x z)))))) |
(sqrt.f64 (pow.f64 (+.f64 z (*.f64 x 3)) 2)) |
(log.f64 (exp.f64 (+.f64 z (*.f64 x 3)))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 z (*.f64 x 3))))) |
(cbrt.f64 (pow.f64 (+.f64 z (*.f64 x 3)) 3)) |
(expm1.f64 (log1p.f64 (+.f64 z (*.f64 x 3)))) |
(exp.f64 (log.f64 (+.f64 z (*.f64 x 3)))) |
(log1p.f64 (expm1.f64 (+.f64 z (*.f64 x 3)))) |
(fma.f64 2 x (+.f64 x z)) |
(fma.f64 x 2 (+.f64 x z)) |
(fma.f64 1 (*.f64 2 x) (+.f64 x z)) |
(fma.f64 1 (+.f64 x z) (*.f64 2 x)) |
(fma.f64 (sqrt.f64 (*.f64 2 x)) (sqrt.f64 (*.f64 2 x)) (+.f64 x z)) |
(fma.f64 (sqrt.f64 (+.f64 x z)) (sqrt.f64 (+.f64 x z)) (*.f64 2 x)) |
(fma.f64 (cbrt.f64 (*.f64 4 (*.f64 x x))) (cbrt.f64 (*.f64 2 x)) (+.f64 x z)) |
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x z)) 2) (cbrt.f64 (+.f64 x z)) (*.f64 2 x)) |
| Outputs |
|---|
z |
(+.f64 (*.f64 3 x) z) |
(fma.f64 3 x z) |
(+.f64 (*.f64 3 x) z) |
(fma.f64 3 x z) |
(+.f64 (*.f64 3 x) z) |
(fma.f64 3 x z) |
(*.f64 3 x) |
(+.f64 (*.f64 3 x) z) |
(fma.f64 3 x z) |
(+.f64 (*.f64 3 x) z) |
(fma.f64 3 x z) |
(+.f64 (*.f64 3 x) z) |
(fma.f64 3 x z) |
(*.f64 3 x) |
(+.f64 (*.f64 3 x) z) |
(fma.f64 3 x z) |
(+.f64 (*.f64 3 x) z) |
(fma.f64 3 x z) |
(+.f64 (*.f64 3 x) z) |
(fma.f64 3 x z) |
(+.f64 (*.f64 2 x) x) |
(*.f64 3 x) |
z |
z |
(-.f64 (exp.f64 (log1p.f64 (+.f64 x z))) (-.f64 1 (*.f64 2 x))) |
(+.f64 (-.f64 (exp.f64 (log1p.f64 (+.f64 z x))) 1) (*.f64 x 2)) |
(fma.f64 x 2 (expm1.f64 (log1p.f64 (+.f64 z x)))) |
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (fma.f64 2 x z))) |
(+.f64 (-.f64 (exp.f64 (log1p.f64 x)) 1) (fma.f64 2 x z)) |
(+.f64 (fma.f64 x 2 z) (expm1.f64 (log1p.f64 x))) |
(-.f64 (exp.f64 (log1p.f64 z)) (-.f64 1 (*.f64 x 3))) |
(+.f64 (-.f64 (exp.f64 (log1p.f64 z)) 1) (*.f64 3 x)) |
(fma.f64 3 x (expm1.f64 (log1p.f64 z))) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 z (*.f64 x 3)))) 1) |
(fma.f64 3 x z) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 x))) (-.f64 1 (+.f64 x z))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 2))) (-.f64 (-.f64 1 x) z)) |
(+.f64 z (+.f64 x (expm1.f64 (log1p.f64 (*.f64 x 2))))) |
(+.f64 (+.f64 z x) (expm1.f64 (log1p.f64 (*.f64 x 2)))) |
(-.f64 (/.f64 z (/.f64 (-.f64 z x) z)) (-.f64 (/.f64 (*.f64 x x) (-.f64 z x)) (*.f64 2 x))) |
(+.f64 (-.f64 (*.f64 (/.f64 z (-.f64 z x)) z) (/.f64 x (/.f64 (-.f64 z x) x))) (*.f64 x 2)) |
(-.f64 (fma.f64 x 2 (/.f64 z (-.f64 1 (/.f64 x z)))) (*.f64 (/.f64 x (-.f64 z x)) x)) |
(fma.f64 (/.f64 z (-.f64 z x)) z (*.f64 x (-.f64 2 (/.f64 x (-.f64 z x))))) |
(-.f64 (/.f64 (*.f64 4 (*.f64 x x)) (-.f64 x z)) (/.f64 (pow.f64 (+.f64 x z) 2) (-.f64 x z))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) 4) (-.f64 x z)) (/.f64 (pow.f64 (+.f64 z x) 2) (-.f64 x z))) |
(-.f64 (/.f64 (*.f64 x x) (/.f64 (-.f64 x z) 4)) (/.f64 (pow.f64 (+.f64 z x) 2) (-.f64 x z))) |
(-.f64 (+.f64 (*.f64 2 x) (exp.f64 (log1p.f64 (+.f64 x z)))) 1) |
(+.f64 (-.f64 (exp.f64 (log1p.f64 (+.f64 z x))) 1) (*.f64 x 2)) |
(fma.f64 x 2 (expm1.f64 (log1p.f64 (+.f64 z x)))) |
(-.f64 (+.f64 (*.f64 2 x) (/.f64 z (/.f64 (-.f64 z x) z))) (/.f64 (*.f64 x x) (-.f64 z x))) |
(+.f64 (-.f64 (*.f64 (/.f64 z (-.f64 z x)) z) (/.f64 x (/.f64 (-.f64 z x) x))) (*.f64 x 2)) |
(-.f64 (fma.f64 x 2 (/.f64 z (-.f64 1 (/.f64 x z)))) (*.f64 (/.f64 x (-.f64 z x)) x)) |
(fma.f64 (/.f64 z (-.f64 z x)) z (*.f64 x (-.f64 2 (/.f64 x (-.f64 z x))))) |
(-.f64 (+.f64 (+.f64 x z) (exp.f64 (log1p.f64 (*.f64 2 x)))) 1) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 2))) (-.f64 (-.f64 1 x) z)) |
(+.f64 z (+.f64 x (expm1.f64 (log1p.f64 (*.f64 x 2))))) |
(+.f64 (+.f64 z x) (expm1.f64 (log1p.f64 (*.f64 x 2)))) |
(-.f64 (+.f64 (fma.f64 2 x z) (exp.f64 (log1p.f64 x))) 1) |
(+.f64 (-.f64 (exp.f64 (log1p.f64 x)) 1) (fma.f64 2 x z)) |
(+.f64 (fma.f64 x 2 z) (expm1.f64 (log1p.f64 x))) |
(-.f64 (+.f64 (*.f64 x 3) (exp.f64 (log1p.f64 z))) 1) |
(+.f64 (-.f64 (exp.f64 (log1p.f64 z)) 1) (*.f64 3 x)) |
(fma.f64 3 x (expm1.f64 (log1p.f64 z))) |
(*.f64 (+.f64 z (*.f64 x 3)) 1) |
(fma.f64 3 x z) |
(*.f64 1 (+.f64 z (*.f64 x 3))) |
(fma.f64 3 x z) |
(*.f64 (sqrt.f64 (+.f64 z (*.f64 x 3))) (sqrt.f64 (+.f64 z (*.f64 x 3)))) |
(fma.f64 3 x z) |
(*.f64 (cbrt.f64 (+.f64 z (*.f64 x 3))) (pow.f64 (cbrt.f64 (+.f64 z (*.f64 x 3))) 2)) |
(fma.f64 3 x z) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 z (*.f64 x 3))) 2) (cbrt.f64 (+.f64 z (*.f64 x 3)))) |
(fma.f64 3 x z) |
(*.f64 (*.f64 (+.f64 z (*.f64 x 3)) (-.f64 x z)) (/.f64 1 (-.f64 x z))) |
(fma.f64 3 x z) |
(*.f64 (+.f64 (*.f64 8 (pow.f64 x 3)) (pow.f64 (+.f64 x z) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x z) 2) (*.f64 (*.f64 2 x) (-.f64 x z))))) |
(/.f64 (*.f64 1 (fma.f64 8 (pow.f64 x 3) (pow.f64 (+.f64 z x) 3))) (+.f64 (pow.f64 (+.f64 z x) 2) (*.f64 2 (*.f64 x (-.f64 x z))))) |
(/.f64 (fma.f64 8 (pow.f64 x 3) (pow.f64 (+.f64 z x) 3)) (fma.f64 2 (*.f64 x (-.f64 x z)) (pow.f64 (+.f64 z x) 2))) |
(*.f64 (/.f64 1 (-.f64 x z)) (*.f64 (+.f64 z (*.f64 x 3)) (-.f64 x z))) |
(fma.f64 3 x z) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 x z) 2) (*.f64 (*.f64 2 x) (-.f64 x z)))) (+.f64 (*.f64 8 (pow.f64 x 3)) (pow.f64 (+.f64 x z) 3))) |
(/.f64 (*.f64 1 (fma.f64 8 (pow.f64 x 3) (pow.f64 (+.f64 z x) 3))) (+.f64 (pow.f64 (+.f64 z x) 2) (*.f64 2 (*.f64 x (-.f64 x z))))) |
(/.f64 (fma.f64 8 (pow.f64 x 3) (pow.f64 (+.f64 z x) 3)) (fma.f64 2 (*.f64 x (-.f64 x z)) (pow.f64 (+.f64 z x) 2))) |
(*.f64 (/.f64 (*.f64 (+.f64 z (*.f64 x 3)) (-.f64 x z)) (*.f64 (+.f64 z (*.f64 x 3)) (-.f64 x z))) (+.f64 z (*.f64 x 3))) |
(fma.f64 3 x z) |
(*.f64 (/.f64 (*.f64 (+.f64 z (*.f64 x 3)) (-.f64 x z)) (-.f64 (*.f64 8 (pow.f64 x 3)) (pow.f64 (+.f64 x z) 3))) (+.f64 (*.f64 4 (*.f64 x x)) (*.f64 (+.f64 x z) (+.f64 z (*.f64 x 3))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 3 x z) (-.f64 x z)) (fma.f64 4 (*.f64 x x) (*.f64 (+.f64 z x) (fma.f64 3 x z)))) (-.f64 (*.f64 8 (pow.f64 x 3)) (pow.f64 (+.f64 z x) 3))) |
(/.f64 (*.f64 (fma.f64 3 x z) (-.f64 x z)) (/.f64 (-.f64 (*.f64 8 (pow.f64 x 3)) (pow.f64 (+.f64 z x) 3)) (fma.f64 (+.f64 z x) (fma.f64 3 x z) (*.f64 x (*.f64 x 4))))) |
(/.f64 (*.f64 (fma.f64 3 x z) (-.f64 x z)) (/.f64 (-.f64 (*.f64 8 (pow.f64 x 3)) (pow.f64 (+.f64 z x) 3)) (fma.f64 (+.f64 z x) (fma.f64 3 x z) (*.f64 (*.f64 x x) 4)))) |
(*.f64 (/.f64 (+.f64 (*.f64 8 (pow.f64 x 3)) (pow.f64 (+.f64 x z) 3)) (-.f64 (*.f64 (*.f64 4 (*.f64 x x)) (*.f64 4 (*.f64 x x))) (*.f64 (*.f64 (+.f64 x z) (+.f64 z (-.f64 x (*.f64 2 x)))) (*.f64 (+.f64 x z) (+.f64 z (-.f64 x (*.f64 2 x))))))) (+.f64 (*.f64 (+.f64 z (*.f64 x 3)) (-.f64 x z)) (*.f64 (*.f64 2 x) (+.f64 x z)))) |
(/.f64 (*.f64 (fma.f64 8 (pow.f64 x 3) (pow.f64 (+.f64 z x) 3)) (fma.f64 (fma.f64 3 x z) (-.f64 x z) (*.f64 2 (*.f64 x (+.f64 z x))))) (-.f64 (*.f64 16 (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (pow.f64 (+.f64 z x) 2) (*.f64 (+.f64 z (+.f64 x (*.f64 -2 x))) (+.f64 z (+.f64 x (*.f64 -2 x))))))) |
(/.f64 (fma.f64 8 (pow.f64 x 3) (pow.f64 (+.f64 z x) 3)) (/.f64 (-.f64 (*.f64 16 (*.f64 x (pow.f64 x 3))) (*.f64 (pow.f64 (+.f64 z x) 2) (*.f64 (-.f64 z x) (-.f64 z x)))) (fma.f64 (fma.f64 3 x z) (-.f64 x z) (*.f64 x (*.f64 2 (+.f64 z x)))))) |
(/.f64 (fma.f64 8 (pow.f64 x 3) (pow.f64 (+.f64 z x) 3)) (/.f64 (fma.f64 16 (*.f64 x (pow.f64 x 3)) (*.f64 (pow.f64 (+.f64 z x) 2) (*.f64 (-.f64 x z) (-.f64 z x)))) (fma.f64 2 (*.f64 x (+.f64 z x)) (*.f64 (fma.f64 3 x z) (-.f64 x z))))) |
(*.f64 (/.f64 (+.f64 (*.f64 8 (pow.f64 x 3)) (pow.f64 (+.f64 x z) 3)) (+.f64 (pow.f64 (*.f64 4 (*.f64 x x)) 3) (pow.f64 (*.f64 (+.f64 x z) (+.f64 z (-.f64 x (*.f64 2 x)))) 3))) (+.f64 (*.f64 (*.f64 4 (*.f64 x x)) (*.f64 4 (*.f64 x x))) (*.f64 (*.f64 (+.f64 x z) (+.f64 z (-.f64 x (*.f64 2 x)))) (-.f64 (*.f64 (+.f64 x z) (+.f64 z (-.f64 x (*.f64 2 x)))) (*.f64 4 (*.f64 x x)))))) |
(*.f64 (/.f64 (fma.f64 8 (pow.f64 x 3) (pow.f64 (+.f64 z x) 3)) (+.f64 (*.f64 64 (pow.f64 (*.f64 x x) 3)) (pow.f64 (*.f64 (+.f64 z x) (+.f64 z (+.f64 x (*.f64 -2 x)))) 3))) (+.f64 (*.f64 16 (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (+.f64 z x) (*.f64 (+.f64 z (+.f64 x (*.f64 -2 x))) (+.f64 (*.f64 (+.f64 z x) (+.f64 z (+.f64 x (*.f64 -2 x)))) (*.f64 (*.f64 -4 x) x)))))) |
(*.f64 (/.f64 (fma.f64 8 (pow.f64 x 3) (pow.f64 (+.f64 z x) 3)) (fma.f64 64 (pow.f64 x 6) (pow.f64 (*.f64 (+.f64 z x) (-.f64 z x)) 3))) (fma.f64 (+.f64 z x) (*.f64 (fma.f64 (+.f64 z x) (-.f64 z x) (*.f64 x (*.f64 x -4))) (-.f64 z x)) (*.f64 16 (*.f64 x (pow.f64 x 3))))) |
(/.f64 (*.f64 (fma.f64 8 (pow.f64 x 3) (pow.f64 (+.f64 z x) 3)) (fma.f64 (+.f64 z x) (*.f64 (fma.f64 (+.f64 z x) (-.f64 z x) (*.f64 x (*.f64 x -4))) (-.f64 z x)) (*.f64 16 (*.f64 x (pow.f64 x 3))))) (fma.f64 64 (pow.f64 x 6) (pow.f64 (*.f64 (+.f64 z x) (-.f64 z x)) 3))) |
(/.f64 (+.f64 z (*.f64 x 3)) (/.f64 (-.f64 x z) (-.f64 x z))) |
(fma.f64 3 x z) |
(/.f64 1 (/.f64 1 (+.f64 z (*.f64 x 3)))) |
(fma.f64 3 x z) |
(/.f64 (*.f64 (+.f64 z (*.f64 x 3)) (-.f64 x z)) (-.f64 x z)) |
(fma.f64 3 x z) |
(/.f64 (+.f64 (*.f64 8 (pow.f64 x 3)) (pow.f64 (+.f64 x z) 3)) (+.f64 (pow.f64 (+.f64 x z) 2) (*.f64 (*.f64 2 x) (-.f64 x z)))) |
(/.f64 (*.f64 1 (fma.f64 8 (pow.f64 x 3) (pow.f64 (+.f64 z x) 3))) (+.f64 (pow.f64 (+.f64 z x) 2) (*.f64 2 (*.f64 x (-.f64 x z))))) |
(/.f64 (fma.f64 8 (pow.f64 x 3) (pow.f64 (+.f64 z x) 3)) (fma.f64 2 (*.f64 x (-.f64 x z)) (pow.f64 (+.f64 z x) 2))) |
(/.f64 (+.f64 (pow.f64 (+.f64 x z) 2) (*.f64 (*.f64 2 x) (-.f64 x z))) (/.f64 (+.f64 (pow.f64 (+.f64 x z) 2) (*.f64 (*.f64 2 x) (-.f64 x z))) (+.f64 z (*.f64 x 3)))) |
(fma.f64 3 x z) |
(/.f64 (sqrt.f64 (*.f64 (+.f64 z (*.f64 x 3)) (-.f64 x z))) (/.f64 (-.f64 x z) (sqrt.f64 (*.f64 (+.f64 z (*.f64 x 3)) (-.f64 x z))))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (fma.f64 3 x z) (-.f64 x z))) (-.f64 x z)) (sqrt.f64 (*.f64 (fma.f64 3 x z) (-.f64 x z)))) |
(*.f64 (sqrt.f64 (*.f64 (fma.f64 3 x z) (-.f64 x z))) (/.f64 (sqrt.f64 (*.f64 (fma.f64 3 x z) (-.f64 x z))) (-.f64 x z))) |
(/.f64 (sqrt.f64 (+.f64 (*.f64 8 (pow.f64 x 3)) (pow.f64 (+.f64 x z) 3))) (/.f64 (+.f64 (pow.f64 (+.f64 x z) 2) (*.f64 (*.f64 2 x) (-.f64 x z))) (sqrt.f64 (+.f64 (*.f64 8 (pow.f64 x 3)) (pow.f64 (+.f64 x z) 3))))) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 8 (pow.f64 x 3) (pow.f64 (+.f64 z x) 3))) (+.f64 (pow.f64 (+.f64 z x) 2) (*.f64 2 (*.f64 x (-.f64 x z))))) (sqrt.f64 (fma.f64 8 (pow.f64 x 3) (pow.f64 (+.f64 z x) 3)))) |
(*.f64 (sqrt.f64 (fma.f64 8 (pow.f64 x 3) (pow.f64 (+.f64 z x) 3))) (/.f64 (sqrt.f64 (fma.f64 8 (pow.f64 x 3) (pow.f64 (+.f64 z x) 3))) (fma.f64 2 (*.f64 x (-.f64 x z)) (pow.f64 (+.f64 z x) 2)))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 (+.f64 z (*.f64 x 3)) (-.f64 x z))) (cbrt.f64 (*.f64 (+.f64 z (*.f64 x 3)) (-.f64 x z)))) (/.f64 (-.f64 x z) (cbrt.f64 (*.f64 (+.f64 z (*.f64 x 3)) (-.f64 x z))))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 (fma.f64 3 x z) (-.f64 x z))) (cbrt.f64 (*.f64 (fma.f64 3 x z) (-.f64 x z)))) (/.f64 (-.f64 x z) (cbrt.f64 (*.f64 (fma.f64 3 x z) (-.f64 x z))))) |
(*.f64 (cbrt.f64 (*.f64 (fma.f64 3 x z) (-.f64 x z))) (/.f64 (*.f64 (cbrt.f64 (*.f64 (fma.f64 3 x z) (-.f64 x z))) (cbrt.f64 (*.f64 (fma.f64 3 x z) (-.f64 x z)))) (-.f64 x z))) |
(*.f64 (cbrt.f64 (*.f64 (fma.f64 3 x z) (-.f64 x z))) (/.f64 (cbrt.f64 (*.f64 (fma.f64 3 x z) (-.f64 x z))) (/.f64 (-.f64 x z) (cbrt.f64 (*.f64 (fma.f64 3 x z) (-.f64 x z)))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 8 (pow.f64 x 3)) (pow.f64 (+.f64 x z) 3))) (cbrt.f64 (+.f64 (*.f64 8 (pow.f64 x 3)) (pow.f64 (+.f64 x z) 3)))) (/.f64 (+.f64 (pow.f64 (+.f64 x z) 2) (*.f64 (*.f64 2 x) (-.f64 x z))) (cbrt.f64 (+.f64 (*.f64 8 (pow.f64 x 3)) (pow.f64 (+.f64 x z) 3))))) |
(/.f64 (cbrt.f64 (fma.f64 8 (pow.f64 x 3) (pow.f64 (+.f64 z x) 3))) (/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 z x) 2) (*.f64 2 (*.f64 x (-.f64 x z)))) (cbrt.f64 (fma.f64 8 (pow.f64 x 3) (pow.f64 (+.f64 z x) 3)))) (cbrt.f64 (fma.f64 8 (pow.f64 x 3) (pow.f64 (+.f64 z x) 3))))) |
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(/.f64 (/.f64 (-.f64 (*.f64 64 (pow.f64 x 6)) (pow.f64 (+.f64 z x) 6)) (-.f64 x z)) (+.f64 (pow.f64 (+.f64 z x) 4) (*.f64 (*.f64 (*.f64 x x) 4) (fma.f64 (*.f64 x x) 4 (pow.f64 (+.f64 z x) 2))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 8 (pow.f64 x 3)) (*.f64 8 (pow.f64 x 3))) (*.f64 (pow.f64 (+.f64 x z) 3) (pow.f64 (+.f64 x z) 3))) (/.f64 1 (+.f64 (pow.f64 (+.f64 x z) 2) (*.f64 (*.f64 2 x) (-.f64 x z))))) (-.f64 (*.f64 8 (pow.f64 x 3)) (pow.f64 (+.f64 x z) 3))) |
(/.f64 (/.f64 (-.f64 (*.f64 64 (*.f64 (pow.f64 x 3) (pow.f64 x 3))) (pow.f64 (+.f64 z x) 6)) (+.f64 (pow.f64 (+.f64 z x) 2) (*.f64 2 (*.f64 x (-.f64 x z))))) (-.f64 (*.f64 8 (pow.f64 x 3)) (pow.f64 (+.f64 z x) 3))) |
(/.f64 (-.f64 (*.f64 64 (pow.f64 x 6)) (pow.f64 (+.f64 z x) 6)) (*.f64 (fma.f64 2 (*.f64 x (-.f64 x z)) (pow.f64 (+.f64 z x) 2)) (-.f64 (*.f64 8 (pow.f64 x 3)) (pow.f64 (+.f64 z x) 3)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 8 (pow.f64 x 3)) 3) (pow.f64 (pow.f64 (+.f64 x z) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x z) 2) (*.f64 (*.f64 2 x) (-.f64 x z))))) (+.f64 (*.f64 (*.f64 8 (pow.f64 x 3)) (*.f64 8 (pow.f64 x 3))) (*.f64 (pow.f64 (+.f64 x z) 3) (-.f64 (pow.f64 (+.f64 x z) 3) (*.f64 8 (pow.f64 x 3)))))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 8 (pow.f64 x 3)) 3) (pow.f64 (pow.f64 (+.f64 z x) 3) 3)) (+.f64 (pow.f64 (+.f64 z x) 2) (*.f64 2 (*.f64 x (-.f64 x z))))) (+.f64 (*.f64 64 (*.f64 (pow.f64 x 3) (pow.f64 x 3))) (*.f64 (pow.f64 (+.f64 z x) 3) (+.f64 (pow.f64 (+.f64 z x) 3) (*.f64 -8 (pow.f64 x 3)))))) |
(/.f64 (fma.f64 512 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (+.f64 z x) 3) 3)) (*.f64 (fma.f64 2 (*.f64 x (-.f64 x z)) (pow.f64 (+.f64 z x) 2)) (fma.f64 (pow.f64 (+.f64 z x) 3) (+.f64 (pow.f64 (+.f64 z x) 3) (*.f64 (pow.f64 x 3) -8)) (*.f64 64 (pow.f64 x 6))))) |
(/.f64 (/.f64 (*.f64 (+.f64 z (*.f64 x 3)) (-.f64 x z)) 1) (-.f64 x z)) |
(fma.f64 3 x z) |
(/.f64 (/.f64 (*.f64 (+.f64 z (*.f64 x 3)) (-.f64 x z)) (sqrt.f64 (-.f64 x z))) (sqrt.f64 (-.f64 x z))) |
(fma.f64 3 x z) |
(/.f64 (/.f64 (*.f64 (+.f64 z (*.f64 x 3)) (-.f64 x z)) (*.f64 (cbrt.f64 (-.f64 x z)) (cbrt.f64 (-.f64 x z)))) (cbrt.f64 (-.f64 x z))) |
(fma.f64 3 x z) |
(/.f64 (/.f64 (*.f64 (+.f64 z (*.f64 x 3)) (-.f64 x z)) (+.f64 (sqrt.f64 (*.f64 2 x)) (sqrt.f64 (+.f64 x z)))) (-.f64 (sqrt.f64 (*.f64 2 x)) (sqrt.f64 (+.f64 x z)))) |
(/.f64 (*.f64 (fma.f64 3 x z) (-.f64 x z)) (*.f64 (-.f64 (sqrt.f64 (*.f64 x 2)) (sqrt.f64 (+.f64 z x))) (+.f64 (sqrt.f64 (*.f64 x 2)) (sqrt.f64 (+.f64 z x))))) |
(*.f64 (/.f64 (fma.f64 3 x z) (-.f64 (sqrt.f64 (*.f64 x 2)) (sqrt.f64 (+.f64 z x)))) (/.f64 (-.f64 x z) (+.f64 (sqrt.f64 (*.f64 x 2)) (sqrt.f64 (+.f64 z x))))) |
(/.f64 (/.f64 (+.f64 (*.f64 8 (pow.f64 x 3)) (pow.f64 (+.f64 x z) 3)) 1) (+.f64 (pow.f64 (+.f64 x z) 2) (*.f64 (*.f64 2 x) (-.f64 x z)))) |
(/.f64 (*.f64 1 (fma.f64 8 (pow.f64 x 3) (pow.f64 (+.f64 z x) 3))) (+.f64 (pow.f64 (+.f64 z x) 2) (*.f64 2 (*.f64 x (-.f64 x z))))) |
(/.f64 (fma.f64 8 (pow.f64 x 3) (pow.f64 (+.f64 z x) 3)) (fma.f64 2 (*.f64 x (-.f64 x z)) (pow.f64 (+.f64 z x) 2))) |
(/.f64 (/.f64 (+.f64 (*.f64 8 (pow.f64 x 3)) (pow.f64 (+.f64 x z) 3)) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x z) 2) (*.f64 (*.f64 2 x) (-.f64 x z))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x z) 2) (*.f64 (*.f64 2 x) (-.f64 x z))))) |
(/.f64 (*.f64 1 (fma.f64 8 (pow.f64 x 3) (pow.f64 (+.f64 z x) 3))) (+.f64 (pow.f64 (+.f64 z x) 2) (*.f64 2 (*.f64 x (-.f64 x z))))) |
(/.f64 (fma.f64 8 (pow.f64 x 3) (pow.f64 (+.f64 z x) 3)) (fma.f64 2 (*.f64 x (-.f64 x z)) (pow.f64 (+.f64 z x) 2))) |
(/.f64 (/.f64 (+.f64 (*.f64 8 (pow.f64 x 3)) (pow.f64 (+.f64 x z) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 x z) 2) (*.f64 (*.f64 2 x) (-.f64 x z)))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x z) 2) (*.f64 (*.f64 2 x) (-.f64 x z)))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x z) 2) (*.f64 (*.f64 2 x) (-.f64 x z))))) |
(/.f64 (*.f64 1 (fma.f64 8 (pow.f64 x 3) (pow.f64 (+.f64 z x) 3))) (+.f64 (pow.f64 (+.f64 z x) 2) (*.f64 2 (*.f64 x (-.f64 x z))))) |
(/.f64 (fma.f64 8 (pow.f64 x 3) (pow.f64 (+.f64 z x) 3)) (fma.f64 2 (*.f64 x (-.f64 x z)) (pow.f64 (+.f64 z x) 2))) |
(pow.f64 (+.f64 z (*.f64 x 3)) 1) |
(fma.f64 3 x z) |
(pow.f64 (sqrt.f64 (+.f64 z (*.f64 x 3))) 2) |
(fma.f64 3 x z) |
(pow.f64 (cbrt.f64 (+.f64 z (*.f64 x 3))) 3) |
(fma.f64 3 x z) |
(pow.f64 (pow.f64 (+.f64 z (*.f64 x 3)) 3) 1/3) |
(fma.f64 3 x z) |
(neg.f64 (/.f64 (*.f64 (+.f64 z (*.f64 x 3)) (-.f64 x z)) (neg.f64 (-.f64 x z)))) |
(fma.f64 3 x z) |
(neg.f64 (/.f64 (+.f64 (*.f64 8 (pow.f64 x 3)) (pow.f64 (+.f64 x z) 3)) (neg.f64 (+.f64 (pow.f64 (+.f64 x z) 2) (*.f64 (*.f64 2 x) (-.f64 x z)))))) |
(/.f64 (neg.f64 (fma.f64 8 (pow.f64 x 3) (pow.f64 (+.f64 z x) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 z x) 2) (*.f64 2 (*.f64 x (-.f64 x z)))))) |
(*.f64 1 (/.f64 (fma.f64 8 (pow.f64 x 3) (pow.f64 (+.f64 z x) 3)) (fma.f64 2 (*.f64 x (-.f64 x z)) (pow.f64 (+.f64 z x) 2)))) |
(sqrt.f64 (pow.f64 (+.f64 z (*.f64 x 3)) 2)) |
(sqrt.f64 (pow.f64 (fma.f64 3 x z) 2)) |
(fabs.f64 (fma.f64 3 x z)) |
(log.f64 (exp.f64 (+.f64 z (*.f64 x 3)))) |
(fma.f64 3 x z) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 z (*.f64 x 3))))) |
(fma.f64 3 x z) |
(cbrt.f64 (pow.f64 (+.f64 z (*.f64 x 3)) 3)) |
(fma.f64 3 x z) |
(expm1.f64 (log1p.f64 (+.f64 z (*.f64 x 3)))) |
(fma.f64 3 x z) |
(exp.f64 (log.f64 (+.f64 z (*.f64 x 3)))) |
(fma.f64 3 x z) |
(log1p.f64 (expm1.f64 (+.f64 z (*.f64 x 3)))) |
(fma.f64 3 x z) |
(fma.f64 2 x (+.f64 x z)) |
(fma.f64 3 x z) |
(fma.f64 x 2 (+.f64 x z)) |
(fma.f64 3 x z) |
(fma.f64 1 (*.f64 2 x) (+.f64 x z)) |
(fma.f64 3 x z) |
(fma.f64 1 (+.f64 x z) (*.f64 2 x)) |
(fma.f64 3 x z) |
(fma.f64 (sqrt.f64 (*.f64 2 x)) (sqrt.f64 (*.f64 2 x)) (+.f64 x z)) |
(fma.f64 3 x z) |
(fma.f64 (sqrt.f64 (+.f64 x z)) (sqrt.f64 (+.f64 x z)) (*.f64 2 x)) |
(fma.f64 3 x z) |
(fma.f64 (cbrt.f64 (*.f64 4 (*.f64 x x))) (cbrt.f64 (*.f64 2 x)) (+.f64 x z)) |
(fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) 4)) (cbrt.f64 (*.f64 x 2)) (+.f64 z x)) |
(fma.f64 (cbrt.f64 (*.f64 x (*.f64 x 4))) (cbrt.f64 (*.f64 x 2)) (+.f64 z x)) |
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x z)) 2) (cbrt.f64 (+.f64 x z)) (*.f64 2 x)) |
(fma.f64 3 x z) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (fma.f64 3 x (*.f64 2 y)) |
Compiled 16 to 11 computations (31.3% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (fma.f64 3 x (*.f64 2 y)) |
| 0.0ms | y | @ | inf | (fma.f64 3 x (*.f64 2 y)) |
| 0.0ms | y | @ | -inf | (fma.f64 3 x (*.f64 2 y)) |
| 0.0ms | y | @ | 0 | (fma.f64 3 x (*.f64 2 y)) |
| 0.0ms | x | @ | inf | (fma.f64 3 x (*.f64 2 y)) |
| 1× | batch-egg-rewrite |
| 1598× | add-sqr-sqrt |
| 1580× | *-un-lft-identity |
| 1464× | add-cube-cbrt |
| 1450× | add-cbrt-cube |
| 1434× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 15 |
| 1 | 180 | 15 |
| 2 | 1981 | 15 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 3 x (*.f64 2 y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 y) (*.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3 x) (*.f64 2 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 3 x) 1) (*.f64 2 y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 3 x (*.f64 2 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 3 x (*.f64 2 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 3 x (*.f64 2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 3 x (*.f64 2 y))) (sqrt.f64 (fma.f64 3 x (*.f64 2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 3 x (*.f64 2 y))) (pow.f64 (cbrt.f64 (fma.f64 3 x (*.f64 2 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 3 x (*.f64 2 y))) 2) (cbrt.f64 (fma.f64 3 x (*.f64 2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 3 x) (*.f64 3 x)) (*.f64 4 (*.f64 y y))) (-.f64 (*.f64 3 x) (*.f64 2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 3 x) 3) (pow.f64 (*.f64 2 y) 3)) (+.f64 (*.f64 (*.f64 3 x) (*.f64 3 x)) (-.f64 (*.f64 4 (*.f64 y y)) (*.f64 (*.f64 3 x) (*.f64 2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 3 x (*.f64 2 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 3 x (*.f64 2 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 3 x (*.f64 2 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 3 x (*.f64 2 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 3 x (*.f64 2 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 3 x (*.f64 2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 3 x (*.f64 2 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 3 x (*.f64 2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 3 x (*.f64 2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 3 x (*.f64 2 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 3 x (*.f64 2 y)))))))) |
| 1× | egg-herbie |
| 1318× | distribute-lft-in |
| 1224× | distribute-rgt-in |
| 1046× | associate-*r* |
| 866× | *-commutative |
| 798× | associate-*l* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 758 |
| 1 | 164 | 730 |
| 2 | 714 | 726 |
| 3 | 3135 | 726 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 2 y) |
(+.f64 (*.f64 3 x) (*.f64 2 y)) |
(+.f64 (*.f64 3 x) (*.f64 2 y)) |
(+.f64 (*.f64 3 x) (*.f64 2 y)) |
(*.f64 3 x) |
(+.f64 (*.f64 3 x) (*.f64 2 y)) |
(+.f64 (*.f64 3 x) (*.f64 2 y)) |
(+.f64 (*.f64 3 x) (*.f64 2 y)) |
(*.f64 3 x) |
(+.f64 (*.f64 3 x) (*.f64 2 y)) |
(+.f64 (*.f64 3 x) (*.f64 2 y)) |
(+.f64 (*.f64 3 x) (*.f64 2 y)) |
(*.f64 3 x) |
(+.f64 (*.f64 3 x) (*.f64 2 y)) |
(+.f64 (*.f64 3 x) (*.f64 2 y)) |
(+.f64 (*.f64 3 x) (*.f64 2 y)) |
(*.f64 2 y) |
(+.f64 (*.f64 3 x) (*.f64 2 y)) |
(+.f64 (*.f64 3 x) (*.f64 2 y)) |
(+.f64 (*.f64 3 x) (*.f64 2 y)) |
(*.f64 2 y) |
(+.f64 (*.f64 3 x) (*.f64 2 y)) |
(+.f64 (*.f64 3 x) (*.f64 2 y)) |
(+.f64 (*.f64 3 x) (*.f64 2 y)) |
(+.f64 (*.f64 2 y) (*.f64 3 x)) |
(+.f64 (*.f64 3 x) (*.f64 2 y)) |
(+.f64 (*.f64 (*.f64 3 x) 1) (*.f64 2 y)) |
(-.f64 (+.f64 1 (fma.f64 3 x (*.f64 2 y))) 1) |
(*.f64 (fma.f64 3 x (*.f64 2 y)) 1) |
(*.f64 1 (fma.f64 3 x (*.f64 2 y))) |
(*.f64 (sqrt.f64 (fma.f64 3 x (*.f64 2 y))) (sqrt.f64 (fma.f64 3 x (*.f64 2 y)))) |
(*.f64 (cbrt.f64 (fma.f64 3 x (*.f64 2 y))) (pow.f64 (cbrt.f64 (fma.f64 3 x (*.f64 2 y))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 3 x (*.f64 2 y))) 2) (cbrt.f64 (fma.f64 3 x (*.f64 2 y)))) |
(/.f64 (-.f64 (*.f64 (*.f64 3 x) (*.f64 3 x)) (*.f64 4 (*.f64 y y))) (-.f64 (*.f64 3 x) (*.f64 2 y))) |
(/.f64 (+.f64 (pow.f64 (*.f64 3 x) 3) (pow.f64 (*.f64 2 y) 3)) (+.f64 (*.f64 (*.f64 3 x) (*.f64 3 x)) (-.f64 (*.f64 4 (*.f64 y y)) (*.f64 (*.f64 3 x) (*.f64 2 y))))) |
(pow.f64 (fma.f64 3 x (*.f64 2 y)) 1) |
(pow.f64 (sqrt.f64 (fma.f64 3 x (*.f64 2 y))) 2) |
(pow.f64 (cbrt.f64 (fma.f64 3 x (*.f64 2 y))) 3) |
(pow.f64 (pow.f64 (fma.f64 3 x (*.f64 2 y)) 3) 1/3) |
(sqrt.f64 (pow.f64 (fma.f64 3 x (*.f64 2 y)) 2)) |
(log.f64 (exp.f64 (fma.f64 3 x (*.f64 2 y)))) |
(cbrt.f64 (pow.f64 (fma.f64 3 x (*.f64 2 y)) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 3 x (*.f64 2 y)))) |
(exp.f64 (log.f64 (fma.f64 3 x (*.f64 2 y)))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 3 x (*.f64 2 y))) 1)) |
(log1p.f64 (expm1.f64 (fma.f64 3 x (*.f64 2 y)))) |
| Outputs |
|---|
(*.f64 2 y) |
(+.f64 (*.f64 3 x) (*.f64 2 y)) |
(fma.f64 2 y (*.f64 3 x)) |
(+.f64 (*.f64 3 x) (*.f64 2 y)) |
(fma.f64 2 y (*.f64 3 x)) |
(+.f64 (*.f64 3 x) (*.f64 2 y)) |
(fma.f64 2 y (*.f64 3 x)) |
(*.f64 3 x) |
(+.f64 (*.f64 3 x) (*.f64 2 y)) |
(fma.f64 2 y (*.f64 3 x)) |
(+.f64 (*.f64 3 x) (*.f64 2 y)) |
(fma.f64 2 y (*.f64 3 x)) |
(+.f64 (*.f64 3 x) (*.f64 2 y)) |
(fma.f64 2 y (*.f64 3 x)) |
(*.f64 3 x) |
(+.f64 (*.f64 3 x) (*.f64 2 y)) |
(fma.f64 2 y (*.f64 3 x)) |
(+.f64 (*.f64 3 x) (*.f64 2 y)) |
(fma.f64 2 y (*.f64 3 x)) |
(+.f64 (*.f64 3 x) (*.f64 2 y)) |
(fma.f64 2 y (*.f64 3 x)) |
(*.f64 3 x) |
(+.f64 (*.f64 3 x) (*.f64 2 y)) |
(fma.f64 2 y (*.f64 3 x)) |
(+.f64 (*.f64 3 x) (*.f64 2 y)) |
(fma.f64 2 y (*.f64 3 x)) |
(+.f64 (*.f64 3 x) (*.f64 2 y)) |
(fma.f64 2 y (*.f64 3 x)) |
(*.f64 2 y) |
(+.f64 (*.f64 3 x) (*.f64 2 y)) |
(fma.f64 2 y (*.f64 3 x)) |
(+.f64 (*.f64 3 x) (*.f64 2 y)) |
(fma.f64 2 y (*.f64 3 x)) |
(+.f64 (*.f64 3 x) (*.f64 2 y)) |
(fma.f64 2 y (*.f64 3 x)) |
(*.f64 2 y) |
(+.f64 (*.f64 3 x) (*.f64 2 y)) |
(fma.f64 2 y (*.f64 3 x)) |
(+.f64 (*.f64 3 x) (*.f64 2 y)) |
(fma.f64 2 y (*.f64 3 x)) |
(+.f64 (*.f64 3 x) (*.f64 2 y)) |
(fma.f64 2 y (*.f64 3 x)) |
(+.f64 (*.f64 2 y) (*.f64 3 x)) |
(fma.f64 2 y (*.f64 3 x)) |
(+.f64 (*.f64 3 x) (*.f64 2 y)) |
(fma.f64 2 y (*.f64 3 x)) |
(+.f64 (*.f64 (*.f64 3 x) 1) (*.f64 2 y)) |
(fma.f64 2 y (*.f64 3 x)) |
(-.f64 (+.f64 1 (fma.f64 3 x (*.f64 2 y))) 1) |
(fma.f64 2 y (*.f64 3 x)) |
(*.f64 (fma.f64 3 x (*.f64 2 y)) 1) |
(fma.f64 2 y (*.f64 3 x)) |
(*.f64 1 (fma.f64 3 x (*.f64 2 y))) |
(fma.f64 2 y (*.f64 3 x)) |
(*.f64 (sqrt.f64 (fma.f64 3 x (*.f64 2 y))) (sqrt.f64 (fma.f64 3 x (*.f64 2 y)))) |
(fma.f64 2 y (*.f64 3 x)) |
(*.f64 (cbrt.f64 (fma.f64 3 x (*.f64 2 y))) (pow.f64 (cbrt.f64 (fma.f64 3 x (*.f64 2 y))) 2)) |
(fma.f64 2 y (*.f64 3 x)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 3 x (*.f64 2 y))) 2) (cbrt.f64 (fma.f64 3 x (*.f64 2 y)))) |
(fma.f64 2 y (*.f64 3 x)) |
(/.f64 (-.f64 (*.f64 (*.f64 3 x) (*.f64 3 x)) (*.f64 4 (*.f64 y y))) (-.f64 (*.f64 3 x) (*.f64 2 y))) |
(/.f64 (+.f64 (*.f64 9 (*.f64 x x)) (*.f64 -4 (*.f64 y y))) (+.f64 (*.f64 3 x) (*.f64 -2 y))) |
(/.f64 (fma.f64 9 (*.f64 x x) (*.f64 (*.f64 y y) -4)) (fma.f64 3 x (*.f64 y -2))) |
(/.f64 (fma.f64 x (*.f64 x 9) (*.f64 (*.f64 y y) -4)) (fma.f64 y -2 (*.f64 3 x))) |
(/.f64 (fma.f64 x (*.f64 x 9) (*.f64 y (*.f64 y -4))) (fma.f64 y -2 (*.f64 3 x))) |
(/.f64 (+.f64 (pow.f64 (*.f64 3 x) 3) (pow.f64 (*.f64 2 y) 3)) (+.f64 (*.f64 (*.f64 3 x) (*.f64 3 x)) (-.f64 (*.f64 4 (*.f64 y y)) (*.f64 (*.f64 3 x) (*.f64 2 y))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 3 x) 3) (*.f64 8 (pow.f64 y 3))) (+.f64 (*.f64 9 (*.f64 x x)) (-.f64 (*.f64 4 (*.f64 y y)) (*.f64 (*.f64 2 y) (*.f64 3 x))))) |
(/.f64 (fma.f64 27 (pow.f64 x 3) (*.f64 8 (pow.f64 y 3))) (fma.f64 (*.f64 x 9) x (*.f64 y (-.f64 (*.f64 y 4) (*.f64 x 6))))) |
(/.f64 (fma.f64 27 (pow.f64 x 3) (*.f64 8 (pow.f64 y 3))) (fma.f64 y (fma.f64 y 4 (*.f64 x -6)) (*.f64 x (*.f64 x 9)))) |
(/.f64 (fma.f64 8 (pow.f64 y 3) (pow.f64 (*.f64 3 x) 3)) (fma.f64 x (*.f64 x 9) (*.f64 y (fma.f64 y 4 (*.f64 x -6))))) |
(pow.f64 (fma.f64 3 x (*.f64 2 y)) 1) |
(fma.f64 2 y (*.f64 3 x)) |
(pow.f64 (sqrt.f64 (fma.f64 3 x (*.f64 2 y))) 2) |
(fma.f64 2 y (*.f64 3 x)) |
(pow.f64 (cbrt.f64 (fma.f64 3 x (*.f64 2 y))) 3) |
(fma.f64 2 y (*.f64 3 x)) |
(pow.f64 (pow.f64 (fma.f64 3 x (*.f64 2 y)) 3) 1/3) |
(fma.f64 2 y (*.f64 3 x)) |
(sqrt.f64 (pow.f64 (fma.f64 3 x (*.f64 2 y)) 2)) |
(fma.f64 2 y (*.f64 3 x)) |
(log.f64 (exp.f64 (fma.f64 3 x (*.f64 2 y)))) |
(fma.f64 2 y (*.f64 3 x)) |
(cbrt.f64 (pow.f64 (fma.f64 3 x (*.f64 2 y)) 3)) |
(fma.f64 2 y (*.f64 3 x)) |
(expm1.f64 (log1p.f64 (fma.f64 3 x (*.f64 2 y)))) |
(fma.f64 2 y (*.f64 3 x)) |
(exp.f64 (log.f64 (fma.f64 3 x (*.f64 2 y)))) |
(fma.f64 2 y (*.f64 3 x)) |
(exp.f64 (*.f64 (log.f64 (fma.f64 3 x (*.f64 2 y))) 1)) |
(fma.f64 2 y (*.f64 3 x)) |
(log1p.f64 (expm1.f64 (fma.f64 3 x (*.f64 2 y)))) |
(fma.f64 2 y (*.f64 3 x)) |
Compiled 4712 to 2657 computations (43.6% saved)
13 alts after pruning (7 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 222 | 3 | 225 |
| Fresh | 0 | 4 | 4 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 5 | 5 |
| Total | 222 | 13 | 235 |
| Status | Error | Program |
|---|---|---|
| ✓ | 22.7b | (fma.f64 3 x (*.f64 2 y)) |
| ✓ | 19.4b | (fma.f64 3 x z) |
| 45.5b | (/.f64 (+.f64 (*.f64 9 (*.f64 x x)) (*.f64 -4 (*.f64 y y))) (+.f64 (*.f64 3 x) (*.f64 -2 y))) | |
| ▶ | 19.5b | (/.f64 1 (/.f64 1 (+.f64 z (*.f64 x 3)))) |
| ▶ | 19.4b | (+.f64 (*.f64 3 x) z) |
| ▶ | 22.7b | (+.f64 (*.f64 2 (+.f64 y x)) x) |
| ✓ | 23.0b | (+.f64 (*.f64 2 y) z) |
| ✓ | 19.4b | (+.f64 (*.f64 2 x) (+.f64 z x)) |
| ✓ | 0.0b | (+.f64 x (+.f64 (*.f64 2 (+.f64 x y)) z)) |
| ▶ | 45.7b | (*.f64 (/.f64 1 (-.f64 x z)) (*.f64 (+.f64 z (*.f64 x 3)) (-.f64 x z))) |
| ▶ | 41.2b | (*.f64 3 x) |
| ✓ | 44.6b | (*.f64 2 y) |
| 41.4b | z |
Compiled 208 to 151 computations (27.4% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 3 x) z) |
Compiled 14 to 9 computations (35.7% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (+.f64 (*.f64 3 x) z) |
| 0.0ms | x | @ | 0 | (+.f64 (*.f64 3 x) z) |
| 0.0ms | z | @ | -inf | (+.f64 (*.f64 3 x) z) |
| 0.0ms | x | @ | -inf | (+.f64 (*.f64 3 x) z) |
| 0.0ms | z | @ | inf | (+.f64 (*.f64 3 x) z) |
| 1× | batch-egg-rewrite |
| 1592× | add-sqr-sqrt |
| 1574× | *-un-lft-identity |
| 1472× | add-cube-cbrt |
| 1458× | add-cbrt-cube |
| 1444× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 9 |
| 1 | 151 | 9 |
| 2 | 1930 | 9 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 3 x) z) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 3 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 9 (*.f64 x x)) (-.f64 (*.f64 3 x) z)) (/.f64 (*.f64 z z) (-.f64 (*.f64 3 x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 3 x z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 3 x z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 3 x z)) (sqrt.f64 (fma.f64 3 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 3 x z)) (pow.f64 (cbrt.f64 (fma.f64 3 x z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 3 x z)) 2) (cbrt.f64 (fma.f64 3 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 9 (*.f64 x x)) (*.f64 z z)) (/.f64 1 (-.f64 (*.f64 3 x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 27 (pow.f64 x 3)) (pow.f64 z 3)) (/.f64 1 (+.f64 (*.f64 9 (*.f64 x x)) (*.f64 z (-.f64 z (*.f64 3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 3 x) z) (-.f64 (*.f64 9 (*.f64 x x)) (*.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 9 (*.f64 x x)) (*.f64 z (-.f64 z (*.f64 3 x)))) (+.f64 (*.f64 27 (pow.f64 x 3)) (pow.f64 z 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 9 (*.f64 x x)) (*.f64 z z)) (-.f64 (*.f64 3 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 27 (pow.f64 x 3)) (pow.f64 z 3)) (+.f64 (*.f64 9 (*.f64 x x)) (*.f64 z (-.f64 z (*.f64 3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 27 (pow.f64 x 3)) (pow.f64 z 3)) (+.f64 (*.f64 z z) (-.f64 (*.f64 9 (*.f64 x x)) (*.f64 x (*.f64 3 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 z z) (*.f64 9 (*.f64 x x))) (-.f64 z (*.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 9 (*.f64 x x)) (*.f64 z z))) (neg.f64 (-.f64 (*.f64 3 x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 27 (pow.f64 x 3)) (pow.f64 z 3))) (neg.f64 (+.f64 (*.f64 9 (*.f64 x x)) (*.f64 z (-.f64 z (*.f64 3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 3 x z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 3 x z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 3 x z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 3 x z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 3 x z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 3 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 3 x z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 3 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 3 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 3 x z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 3 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 x z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 3 z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 3 x) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 z (*.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 3 x)) (sqrt.f64 (*.f64 3 x)) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 z z)) (cbrt.f64 z) (*.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 3 x)) 2) (cbrt.f64 (*.f64 3 x)) z))))) |
| 1× | egg-herbie |
| 1016× | associate-*r* |
| 936× | associate-/r* |
| 810× | associate-*l* |
| 644× | associate-+r+ |
| 432× | associate-+l+ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 93 | 1140 |
| 1 | 232 | 966 |
| 2 | 841 | 754 |
| 3 | 3893 | 754 |
| 1× | node limit |
| Inputs |
|---|
z |
(*.f64 3 x) |
(*.f64 3 x) |
(*.f64 3 x) |
z |
z |
(-.f64 (+.f64 1 (fma.f64 3 x z)) 1) |
(-.f64 (/.f64 (*.f64 9 (*.f64 x x)) (-.f64 (*.f64 3 x) z)) (/.f64 (*.f64 z z) (-.f64 (*.f64 3 x) z))) |
(*.f64 (fma.f64 3 x z) 1) |
(*.f64 1 (fma.f64 3 x z)) |
(*.f64 (sqrt.f64 (fma.f64 3 x z)) (sqrt.f64 (fma.f64 3 x z))) |
(*.f64 (cbrt.f64 (fma.f64 3 x z)) (pow.f64 (cbrt.f64 (fma.f64 3 x z)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 3 x z)) 2) (cbrt.f64 (fma.f64 3 x z))) |
(*.f64 (-.f64 (*.f64 9 (*.f64 x x)) (*.f64 z z)) (/.f64 1 (-.f64 (*.f64 3 x) z))) |
(*.f64 (+.f64 (*.f64 27 (pow.f64 x 3)) (pow.f64 z 3)) (/.f64 1 (+.f64 (*.f64 9 (*.f64 x x)) (*.f64 z (-.f64 z (*.f64 3 x)))))) |
(/.f64 1 (/.f64 (-.f64 (*.f64 3 x) z) (-.f64 (*.f64 9 (*.f64 x x)) (*.f64 z z)))) |
(/.f64 1 (/.f64 (+.f64 (*.f64 9 (*.f64 x x)) (*.f64 z (-.f64 z (*.f64 3 x)))) (+.f64 (*.f64 27 (pow.f64 x 3)) (pow.f64 z 3)))) |
(/.f64 (-.f64 (*.f64 9 (*.f64 x x)) (*.f64 z z)) (-.f64 (*.f64 3 x) z)) |
(/.f64 (+.f64 (*.f64 27 (pow.f64 x 3)) (pow.f64 z 3)) (+.f64 (*.f64 9 (*.f64 x x)) (*.f64 z (-.f64 z (*.f64 3 x))))) |
(/.f64 (+.f64 (*.f64 27 (pow.f64 x 3)) (pow.f64 z 3)) (+.f64 (*.f64 z z) (-.f64 (*.f64 9 (*.f64 x x)) (*.f64 x (*.f64 3 z))))) |
(/.f64 (-.f64 (*.f64 z z) (*.f64 9 (*.f64 x x))) (-.f64 z (*.f64 3 x))) |
(/.f64 (neg.f64 (-.f64 (*.f64 9 (*.f64 x x)) (*.f64 z z))) (neg.f64 (-.f64 (*.f64 3 x) z))) |
(/.f64 (neg.f64 (+.f64 (*.f64 27 (pow.f64 x 3)) (pow.f64 z 3))) (neg.f64 (+.f64 (*.f64 9 (*.f64 x x)) (*.f64 z (-.f64 z (*.f64 3 x)))))) |
(pow.f64 (fma.f64 3 x z) 1) |
(pow.f64 (sqrt.f64 (fma.f64 3 x z)) 2) |
(pow.f64 (cbrt.f64 (fma.f64 3 x z)) 3) |
(pow.f64 (pow.f64 (fma.f64 3 x z) 3) 1/3) |
(sqrt.f64 (pow.f64 (fma.f64 3 x z) 2)) |
(log.f64 (exp.f64 (fma.f64 3 x z))) |
(cbrt.f64 (pow.f64 (fma.f64 3 x z) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 3 x z))) |
(exp.f64 (log.f64 (fma.f64 3 x z))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 3 x z)) 1)) |
(log1p.f64 (expm1.f64 (fma.f64 3 x z))) |
(fma.f64 3 x z) |
(fma.f64 x 3 z) |
(fma.f64 1 (*.f64 3 x) z) |
(fma.f64 1 z (*.f64 3 x)) |
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 3 x)) |
(fma.f64 (sqrt.f64 (*.f64 3 x)) (sqrt.f64 (*.f64 3 x)) z) |
(fma.f64 (cbrt.f64 (*.f64 z z)) (cbrt.f64 z) (*.f64 3 x)) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 3 x)) 2) (cbrt.f64 (*.f64 3 x)) z) |
| Outputs |
|---|
z |
(*.f64 3 x) |
(*.f64 3 x) |
(*.f64 3 x) |
z |
z |
(-.f64 (+.f64 1 (fma.f64 3 x z)) 1) |
(+.f64 1 (-.f64 (fma.f64 3 x z) 1)) |
(+.f64 (fma.f64 3 x z) 0) |
(fma.f64 3 x z) |
(-.f64 (/.f64 (*.f64 9 (*.f64 x x)) (-.f64 (*.f64 3 x) z)) (/.f64 (*.f64 z z) (-.f64 (*.f64 3 x) z))) |
(/.f64 (-.f64 (*.f64 9 (*.f64 x x)) (*.f64 z z)) (-.f64 (*.f64 3 x) z)) |
(/.f64 (fma.f64 (*.f64 x 9) x (*.f64 z (neg.f64 z))) (-.f64 (*.f64 3 x) z)) |
(/.f64 (fma.f64 z z (*.f64 x (*.f64 x -9))) (fma.f64 x -3 z)) |
(*.f64 (fma.f64 3 x z) 1) |
(+.f64 1 (-.f64 (fma.f64 3 x z) 1)) |
(+.f64 (fma.f64 3 x z) 0) |
(fma.f64 3 x z) |
(*.f64 1 (fma.f64 3 x z)) |
(+.f64 1 (-.f64 (fma.f64 3 x z) 1)) |
(+.f64 (fma.f64 3 x z) 0) |
(fma.f64 3 x z) |
(*.f64 (sqrt.f64 (fma.f64 3 x z)) (sqrt.f64 (fma.f64 3 x z))) |
(+.f64 1 (-.f64 (fma.f64 3 x z) 1)) |
(+.f64 (fma.f64 3 x z) 0) |
(fma.f64 3 x z) |
(*.f64 (cbrt.f64 (fma.f64 3 x z)) (pow.f64 (cbrt.f64 (fma.f64 3 x z)) 2)) |
(+.f64 1 (-.f64 (fma.f64 3 x z) 1)) |
(+.f64 (fma.f64 3 x z) 0) |
(fma.f64 3 x z) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 3 x z)) 2) (cbrt.f64 (fma.f64 3 x z))) |
(+.f64 1 (-.f64 (fma.f64 3 x z) 1)) |
(+.f64 (fma.f64 3 x z) 0) |
(fma.f64 3 x z) |
(*.f64 (-.f64 (*.f64 9 (*.f64 x x)) (*.f64 z z)) (/.f64 1 (-.f64 (*.f64 3 x) z))) |
(/.f64 (-.f64 (*.f64 9 (*.f64 x x)) (*.f64 z z)) (-.f64 (*.f64 3 x) z)) |
(/.f64 (fma.f64 (*.f64 x 9) x (*.f64 z (neg.f64 z))) (-.f64 (*.f64 3 x) z)) |
(/.f64 (fma.f64 z z (*.f64 x (*.f64 x -9))) (fma.f64 x -3 z)) |
(*.f64 (+.f64 (*.f64 27 (pow.f64 x 3)) (pow.f64 z 3)) (/.f64 1 (+.f64 (*.f64 9 (*.f64 x x)) (*.f64 z (-.f64 z (*.f64 3 x)))))) |
(/.f64 (*.f64 (fma.f64 27 (pow.f64 x 3) (pow.f64 z 3)) 1) (fma.f64 9 (*.f64 x x) (*.f64 z (+.f64 z (*.f64 -3 x))))) |
(/.f64 (fma.f64 27 (pow.f64 x 3) (pow.f64 z 3)) (fma.f64 z (+.f64 z (*.f64 x -3)) (*.f64 x (*.f64 x 9)))) |
(/.f64 (fma.f64 27 (pow.f64 x 3) (pow.f64 z 3)) (fma.f64 z z (*.f64 x (fma.f64 x 9 (*.f64 z -3))))) |
(/.f64 (fma.f64 27 (pow.f64 x 3) (pow.f64 z 3)) (fma.f64 z (fma.f64 x -3 z) (*.f64 x (*.f64 x 9)))) |
(/.f64 1 (/.f64 (-.f64 (*.f64 3 x) z) (-.f64 (*.f64 9 (*.f64 x x)) (*.f64 z z)))) |
(/.f64 (-.f64 (*.f64 9 (*.f64 x x)) (*.f64 z z)) (-.f64 (*.f64 3 x) z)) |
(/.f64 (fma.f64 (*.f64 x 9) x (*.f64 z (neg.f64 z))) (-.f64 (*.f64 3 x) z)) |
(/.f64 (fma.f64 z z (*.f64 x (*.f64 x -9))) (fma.f64 x -3 z)) |
(/.f64 1 (/.f64 (+.f64 (*.f64 9 (*.f64 x x)) (*.f64 z (-.f64 z (*.f64 3 x)))) (+.f64 (*.f64 27 (pow.f64 x 3)) (pow.f64 z 3)))) |
(/.f64 (*.f64 (fma.f64 27 (pow.f64 x 3) (pow.f64 z 3)) 1) (fma.f64 9 (*.f64 x x) (*.f64 z (+.f64 z (*.f64 -3 x))))) |
(/.f64 (fma.f64 27 (pow.f64 x 3) (pow.f64 z 3)) (fma.f64 z (+.f64 z (*.f64 x -3)) (*.f64 x (*.f64 x 9)))) |
(/.f64 (fma.f64 27 (pow.f64 x 3) (pow.f64 z 3)) (fma.f64 z z (*.f64 x (fma.f64 x 9 (*.f64 z -3))))) |
(/.f64 (fma.f64 27 (pow.f64 x 3) (pow.f64 z 3)) (fma.f64 z (fma.f64 x -3 z) (*.f64 x (*.f64 x 9)))) |
(/.f64 (-.f64 (*.f64 9 (*.f64 x x)) (*.f64 z z)) (-.f64 (*.f64 3 x) z)) |
(/.f64 (fma.f64 (*.f64 x 9) x (*.f64 z (neg.f64 z))) (-.f64 (*.f64 3 x) z)) |
(/.f64 (fma.f64 z z (*.f64 x (*.f64 x -9))) (fma.f64 x -3 z)) |
(/.f64 (+.f64 (*.f64 27 (pow.f64 x 3)) (pow.f64 z 3)) (+.f64 (*.f64 9 (*.f64 x x)) (*.f64 z (-.f64 z (*.f64 3 x))))) |
(/.f64 (*.f64 (fma.f64 27 (pow.f64 x 3) (pow.f64 z 3)) 1) (fma.f64 9 (*.f64 x x) (*.f64 z (+.f64 z (*.f64 -3 x))))) |
(/.f64 (fma.f64 27 (pow.f64 x 3) (pow.f64 z 3)) (fma.f64 z (+.f64 z (*.f64 x -3)) (*.f64 x (*.f64 x 9)))) |
(/.f64 (fma.f64 27 (pow.f64 x 3) (pow.f64 z 3)) (fma.f64 z z (*.f64 x (fma.f64 x 9 (*.f64 z -3))))) |
(/.f64 (fma.f64 27 (pow.f64 x 3) (pow.f64 z 3)) (fma.f64 z (fma.f64 x -3 z) (*.f64 x (*.f64 x 9)))) |
(/.f64 (+.f64 (*.f64 27 (pow.f64 x 3)) (pow.f64 z 3)) (+.f64 (*.f64 z z) (-.f64 (*.f64 9 (*.f64 x x)) (*.f64 x (*.f64 3 z))))) |
(/.f64 (*.f64 (fma.f64 27 (pow.f64 x 3) (pow.f64 z 3)) 1) (fma.f64 9 (*.f64 x x) (*.f64 z (+.f64 z (*.f64 -3 x))))) |
(/.f64 (fma.f64 27 (pow.f64 x 3) (pow.f64 z 3)) (fma.f64 z (+.f64 z (*.f64 x -3)) (*.f64 x (*.f64 x 9)))) |
(/.f64 (fma.f64 27 (pow.f64 x 3) (pow.f64 z 3)) (fma.f64 z z (*.f64 x (fma.f64 x 9 (*.f64 z -3))))) |
(/.f64 (fma.f64 27 (pow.f64 x 3) (pow.f64 z 3)) (fma.f64 z (fma.f64 x -3 z) (*.f64 x (*.f64 x 9)))) |
(/.f64 (-.f64 (*.f64 z z) (*.f64 9 (*.f64 x x))) (-.f64 z (*.f64 3 x))) |
(/.f64 (-.f64 (*.f64 9 (*.f64 x x)) (*.f64 z z)) (-.f64 (*.f64 3 x) z)) |
(/.f64 (fma.f64 (*.f64 x 9) x (*.f64 z (neg.f64 z))) (-.f64 (*.f64 3 x) z)) |
(/.f64 (fma.f64 z z (*.f64 x (*.f64 x -9))) (fma.f64 x -3 z)) |
(/.f64 (neg.f64 (-.f64 (*.f64 9 (*.f64 x x)) (*.f64 z z))) (neg.f64 (-.f64 (*.f64 3 x) z))) |
(/.f64 (-.f64 (*.f64 9 (*.f64 x x)) (*.f64 z z)) (-.f64 (*.f64 3 x) z)) |
(/.f64 (fma.f64 (*.f64 x 9) x (*.f64 z (neg.f64 z))) (-.f64 (*.f64 3 x) z)) |
(/.f64 (fma.f64 z z (*.f64 x (*.f64 x -9))) (fma.f64 x -3 z)) |
(/.f64 (neg.f64 (+.f64 (*.f64 27 (pow.f64 x 3)) (pow.f64 z 3))) (neg.f64 (+.f64 (*.f64 9 (*.f64 x x)) (*.f64 z (-.f64 z (*.f64 3 x)))))) |
(/.f64 (*.f64 (fma.f64 27 (pow.f64 x 3) (pow.f64 z 3)) 1) (fma.f64 9 (*.f64 x x) (*.f64 z (+.f64 z (*.f64 -3 x))))) |
(/.f64 (fma.f64 27 (pow.f64 x 3) (pow.f64 z 3)) (fma.f64 z (+.f64 z (*.f64 x -3)) (*.f64 x (*.f64 x 9)))) |
(/.f64 (fma.f64 27 (pow.f64 x 3) (pow.f64 z 3)) (fma.f64 z z (*.f64 x (fma.f64 x 9 (*.f64 z -3))))) |
(/.f64 (fma.f64 27 (pow.f64 x 3) (pow.f64 z 3)) (fma.f64 z (fma.f64 x -3 z) (*.f64 x (*.f64 x 9)))) |
(pow.f64 (fma.f64 3 x z) 1) |
(+.f64 1 (-.f64 (fma.f64 3 x z) 1)) |
(+.f64 (fma.f64 3 x z) 0) |
(fma.f64 3 x z) |
(pow.f64 (sqrt.f64 (fma.f64 3 x z)) 2) |
(+.f64 1 (-.f64 (fma.f64 3 x z) 1)) |
(+.f64 (fma.f64 3 x z) 0) |
(fma.f64 3 x z) |
(pow.f64 (cbrt.f64 (fma.f64 3 x z)) 3) |
(+.f64 1 (-.f64 (fma.f64 3 x z) 1)) |
(+.f64 (fma.f64 3 x z) 0) |
(fma.f64 3 x z) |
(pow.f64 (pow.f64 (fma.f64 3 x z) 3) 1/3) |
(+.f64 1 (-.f64 (fma.f64 3 x z) 1)) |
(+.f64 (fma.f64 3 x z) 0) |
(fma.f64 3 x z) |
(sqrt.f64 (pow.f64 (fma.f64 3 x z) 2)) |
(+.f64 1 (-.f64 (fma.f64 3 x z) 1)) |
(+.f64 (fma.f64 3 x z) 0) |
(fma.f64 3 x z) |
(log.f64 (exp.f64 (fma.f64 3 x z))) |
(+.f64 1 (-.f64 (fma.f64 3 x z) 1)) |
(+.f64 (fma.f64 3 x z) 0) |
(fma.f64 3 x z) |
(cbrt.f64 (pow.f64 (fma.f64 3 x z) 3)) |
(+.f64 1 (-.f64 (fma.f64 3 x z) 1)) |
(+.f64 (fma.f64 3 x z) 0) |
(fma.f64 3 x z) |
(expm1.f64 (log1p.f64 (fma.f64 3 x z))) |
(+.f64 1 (-.f64 (fma.f64 3 x z) 1)) |
(+.f64 (fma.f64 3 x z) 0) |
(fma.f64 3 x z) |
(exp.f64 (log.f64 (fma.f64 3 x z))) |
(+.f64 1 (-.f64 (fma.f64 3 x z) 1)) |
(+.f64 (fma.f64 3 x z) 0) |
(fma.f64 3 x z) |
(exp.f64 (*.f64 (log.f64 (fma.f64 3 x z)) 1)) |
(+.f64 1 (-.f64 (fma.f64 3 x z) 1)) |
(+.f64 (fma.f64 3 x z) 0) |
(fma.f64 3 x z) |
(log1p.f64 (expm1.f64 (fma.f64 3 x z))) |
(+.f64 1 (-.f64 (fma.f64 3 x z) 1)) |
(+.f64 (fma.f64 3 x z) 0) |
(fma.f64 3 x z) |
(fma.f64 3 x z) |
(+.f64 1 (-.f64 (fma.f64 3 x z) 1)) |
(+.f64 (fma.f64 3 x z) 0) |
(fma.f64 x 3 z) |
(+.f64 1 (-.f64 (fma.f64 3 x z) 1)) |
(+.f64 (fma.f64 3 x z) 0) |
(fma.f64 3 x z) |
(fma.f64 1 (*.f64 3 x) z) |
(+.f64 1 (-.f64 (fma.f64 3 x z) 1)) |
(+.f64 (fma.f64 3 x z) 0) |
(fma.f64 3 x z) |
(fma.f64 1 z (*.f64 3 x)) |
(+.f64 1 (-.f64 (fma.f64 3 x z) 1)) |
(+.f64 (fma.f64 3 x z) 0) |
(fma.f64 3 x z) |
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 3 x)) |
(+.f64 1 (-.f64 (fma.f64 3 x z) 1)) |
(+.f64 (fma.f64 3 x z) 0) |
(fma.f64 3 x z) |
(fma.f64 (sqrt.f64 (*.f64 3 x)) (sqrt.f64 (*.f64 3 x)) z) |
(+.f64 1 (-.f64 (fma.f64 3 x z) 1)) |
(+.f64 (fma.f64 3 x z) 0) |
(fma.f64 3 x z) |
(fma.f64 (cbrt.f64 (*.f64 z z)) (cbrt.f64 z) (*.f64 3 x)) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 3 x)) 2) (cbrt.f64 (*.f64 3 x)) z) |
(+.f64 1 (-.f64 (fma.f64 3 x z) 1)) |
(+.f64 (fma.f64 3 x z) 0) |
(fma.f64 3 x z) |
Compiled 8 to 6 computations (25% saved)
Compiled 21 to 10 computations (52.4% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 z (*.f64 x 3)) |
| ✓ | 0.1b | (/.f64 1 (+.f64 z (*.f64 x 3))) |
| ✓ | 0.3b | (/.f64 1 (/.f64 1 (+.f64 z (*.f64 x 3)))) |
Compiled 31 to 22 computations (29% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | z | @ | 0 | (/.f64 1 (+.f64 z (*.f64 x 3))) |
| 0.0ms | x | @ | 0 | (/.f64 1 (+.f64 z (*.f64 x 3))) |
| 0.0ms | z | @ | inf | (/.f64 1 (+.f64 z (*.f64 x 3))) |
| 0.0ms | x | @ | inf | (/.f64 1 (+.f64 z (*.f64 x 3))) |
| 0.0ms | x | @ | -inf | (/.f64 1 (+.f64 z (*.f64 x 3))) |
| 1× | batch-egg-rewrite |
| 1966× | add-sqr-sqrt |
| 1942× | *-un-lft-identity |
| 1822× | add-cube-cbrt |
| 1806× | add-cbrt-cube |
| 188× | pow1 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 45 |
| 1 | 215 | 33 |
| 2 | 2491 | 33 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (/.f64 1 (+.f64 z (*.f64 x 3)))) |
(/.f64 1 (+.f64 z (*.f64 x 3))) |
(+.f64 z (*.f64 x 3)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 z (*.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 3) z)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x 3 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 z z) (+.f64 z (*.f64 -3 x))) (/.f64 (*.f64 (*.f64 x x) 9) (+.f64 z (*.f64 -3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x 3 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 3 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 3 z)) (sqrt.f64 (fma.f64 x 3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x 3 z)) (pow.f64 (cbrt.f64 (fma.f64 x 3 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 3 z)) 2) (cbrt.f64 (fma.f64 x 3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 x x) 9)) (/.f64 1 (+.f64 z (*.f64 -3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 z 3) (*.f64 (pow.f64 x 3) 27)) (/.f64 1 (fma.f64 z z (*.f64 (*.f64 x 3) (-.f64 (*.f64 x 3) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (fma.f64 x 3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 x 3 z) -1/2) -1) (pow.f64 (pow.f64 (fma.f64 x 3 z) -1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x 3 z) -2)) -1) (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x 3 z))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 3 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 x 3 z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 3 z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 3 z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 3 z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 3 z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 3 z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 3 z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x 3 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 x 3 z))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 z (*.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x 3) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 3 z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 x z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 3)) (sqrt.f64 (*.f64 x 3)) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 3)) 2) (cbrt.f64 (*.f64 x 3)) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 z) (*.f64 x 3)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 x 3 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (fma.f64 x 3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x 3 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x 3 z) -1/2) (pow.f64 (fma.f64 x 3 z) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (fma.f64 x 3 z))) (cbrt.f64 (pow.f64 (fma.f64 x 3 z) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 x 3 z) -2)) (/.f64 1 (cbrt.f64 (fma.f64 x 3 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 -1 (fma.f64 x 3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (*.f64 z z) (*.f64 (*.f64 x x) 9))) (+.f64 z (*.f64 -3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 z 3) (*.f64 (pow.f64 x 3) 27))) (fma.f64 z z (*.f64 (*.f64 x 3) (-.f64 (*.f64 x 3) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (fma.f64 x 3 z)) -1) (pow.f64 (sqrt.f64 (fma.f64 x 3 z)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x 3 z)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 x 3 z)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 3 z) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 x 3 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 3 z) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x 3 z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (fma.f64 x 3 z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 3 z) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (fma.f64 x 3 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 x 3 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 x 3 z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 x 3 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (fma.f64 x 3 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x 3 z)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 x 3 z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 x 3 z)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x 3 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 z z) (+.f64 z (*.f64 -3 x))) (/.f64 (*.f64 (*.f64 x x) 9) (+.f64 z (*.f64 -3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x 3 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 3 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 3 z)) (sqrt.f64 (fma.f64 x 3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x 3 z)) (pow.f64 (cbrt.f64 (fma.f64 x 3 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 3 z)) 2) (cbrt.f64 (fma.f64 x 3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 x x) 9)) (/.f64 1 (+.f64 z (*.f64 -3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 z 3) (*.f64 (pow.f64 x 3) 27)) (/.f64 1 (fma.f64 z z (*.f64 (*.f64 x 3) (-.f64 (*.f64 x 3) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (fma.f64 x 3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 x 3 z) -1/2) -1) (pow.f64 (pow.f64 (fma.f64 x 3 z) -1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x 3 z) -2)) -1) (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x 3 z))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (fma.f64 x 3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 z (*.f64 -3 x)) (-.f64 (*.f64 z z) (*.f64 (*.f64 x x) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 z z (*.f64 (*.f64 x 3) (-.f64 (*.f64 x 3) z))) (+.f64 (pow.f64 z 3) (*.f64 (pow.f64 x 3) 27))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (neg.f64 (/.f64 -1 (fma.f64 x 3 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x 3 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 x 3 z)) (pow.f64 (fma.f64 x 3 z) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (fma.f64 x 3 z)) 2) (/.f64 1 (cbrt.f64 (fma.f64 x 3 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 x x) 9)) (+.f64 z (*.f64 -3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 z 3) (*.f64 (pow.f64 x 3) 27)) (fma.f64 z z (*.f64 (*.f64 x 3) (-.f64 (*.f64 x 3) z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 z 3) (*.f64 (pow.f64 x 3) 27)) (+.f64 (*.f64 (*.f64 x x) 9) (-.f64 (*.f64 z z) (*.f64 z (*.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 -1 (fma.f64 x 3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 x 3 z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x 3 z) -2))) (/.f64 1 (cbrt.f64 (fma.f64 x 3 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 x x) 9))) (neg.f64 (+.f64 z (*.f64 -3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 z 3) (*.f64 (pow.f64 x 3) 27))) (neg.f64 (fma.f64 z z (*.f64 (*.f64 x 3) (-.f64 (*.f64 x 3) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x x) 9) (*.f64 z z)) (-.f64 (*.f64 x 3) z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 3 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 x 3 z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 3 z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 3 z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 3 z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 3 z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 3 z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 3 z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x 3 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 x 3 z))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 z (*.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x 3) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 3 z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 x z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 3)) (sqrt.f64 (*.f64 x 3)) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 3)) 2) (cbrt.f64 (*.f64 x 3)) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 z) (*.f64 x 3)))))) |
| 1× | egg-herbie |
| 1176× | associate-/r* |
| 1160× | associate-*r/ |
| 1046× | associate-/l* |
| 690× | associate-*l/ |
| 620× | *-commutative |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 201 | 3479 |
| 1 | 491 | 3241 |
| 2 | 2033 | 3189 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 3 x) |
(+.f64 (*.f64 3 x) z) |
(+.f64 (*.f64 3 x) z) |
(+.f64 (*.f64 3 x) z) |
z |
(+.f64 (*.f64 3 x) z) |
(+.f64 (*.f64 3 x) z) |
(+.f64 (*.f64 3 x) z) |
z |
(+.f64 (*.f64 3 x) z) |
(+.f64 (*.f64 3 x) z) |
(+.f64 (*.f64 3 x) z) |
z |
(+.f64 (*.f64 3 x) z) |
(+.f64 (*.f64 3 x) z) |
(+.f64 (*.f64 3 x) z) |
(*.f64 3 x) |
(+.f64 (*.f64 3 x) z) |
(+.f64 (*.f64 3 x) z) |
(+.f64 (*.f64 3 x) z) |
(*.f64 3 x) |
(+.f64 (*.f64 3 x) z) |
(+.f64 (*.f64 3 x) z) |
(+.f64 (*.f64 3 x) z) |
(/.f64 1/3 x) |
(+.f64 (*.f64 -1/9 (/.f64 z (pow.f64 x 2))) (*.f64 1/3 (/.f64 1 x))) |
(+.f64 (*.f64 -1/9 (/.f64 z (pow.f64 x 2))) (+.f64 (*.f64 1/27 (/.f64 (pow.f64 z 2) (pow.f64 x 3))) (*.f64 1/3 (/.f64 1 x)))) |
(+.f64 (*.f64 -1/81 (/.f64 (pow.f64 z 3) (pow.f64 x 4))) (+.f64 (*.f64 -1/9 (/.f64 z (pow.f64 x 2))) (+.f64 (*.f64 1/27 (/.f64 (pow.f64 z 2) (pow.f64 x 3))) (*.f64 1/3 (/.f64 1 x))))) |
(/.f64 1 z) |
(+.f64 (*.f64 -3 (/.f64 x (pow.f64 z 2))) (/.f64 1 z)) |
(+.f64 (*.f64 -3 (/.f64 x (pow.f64 z 2))) (+.f64 (/.f64 1 z) (*.f64 9 (/.f64 (pow.f64 x 2) (pow.f64 z 3))))) |
(+.f64 (*.f64 -27 (/.f64 (pow.f64 x 3) (pow.f64 z 4))) (+.f64 (*.f64 -3 (/.f64 x (pow.f64 z 2))) (+.f64 (/.f64 1 z) (*.f64 9 (/.f64 (pow.f64 x 2) (pow.f64 z 3)))))) |
(/.f64 1 z) |
(+.f64 (*.f64 -3 (/.f64 x (pow.f64 z 2))) (/.f64 1 z)) |
(+.f64 (*.f64 -3 (/.f64 x (pow.f64 z 2))) (+.f64 (/.f64 1 z) (*.f64 9 (/.f64 (pow.f64 x 2) (pow.f64 z 3))))) |
(+.f64 (*.f64 -27 (/.f64 (pow.f64 x 3) (pow.f64 z 4))) (+.f64 (*.f64 -3 (/.f64 x (pow.f64 z 2))) (+.f64 (/.f64 1 z) (*.f64 9 (/.f64 (pow.f64 x 2) (pow.f64 z 3)))))) |
(/.f64 1 z) |
(+.f64 (*.f64 -3 (/.f64 x (pow.f64 z 2))) (/.f64 1 z)) |
(+.f64 (*.f64 -3 (/.f64 x (pow.f64 z 2))) (+.f64 (/.f64 1 z) (*.f64 9 (/.f64 (pow.f64 x 2) (pow.f64 z 3))))) |
(+.f64 (*.f64 -27 (/.f64 (pow.f64 x 3) (pow.f64 z 4))) (+.f64 (*.f64 -3 (/.f64 x (pow.f64 z 2))) (+.f64 (/.f64 1 z) (*.f64 9 (/.f64 (pow.f64 x 2) (pow.f64 z 3)))))) |
(/.f64 1/3 x) |
(+.f64 (*.f64 -1/9 (/.f64 z (pow.f64 x 2))) (*.f64 1/3 (/.f64 1 x))) |
(+.f64 (*.f64 -1/9 (/.f64 z (pow.f64 x 2))) (+.f64 (*.f64 1/27 (/.f64 (pow.f64 z 2) (pow.f64 x 3))) (*.f64 1/3 (/.f64 1 x)))) |
(+.f64 (*.f64 -1/81 (/.f64 (pow.f64 z 3) (pow.f64 x 4))) (+.f64 (*.f64 -1/9 (/.f64 z (pow.f64 x 2))) (+.f64 (*.f64 1/27 (/.f64 (pow.f64 z 2) (pow.f64 x 3))) (*.f64 1/3 (/.f64 1 x))))) |
(/.f64 1/3 x) |
(+.f64 (*.f64 -1/9 (/.f64 z (pow.f64 x 2))) (*.f64 1/3 (/.f64 1 x))) |
(+.f64 (*.f64 -1/9 (/.f64 z (pow.f64 x 2))) (+.f64 (*.f64 1/27 (/.f64 (pow.f64 z 2) (pow.f64 x 3))) (*.f64 1/3 (/.f64 1 x)))) |
(+.f64 (*.f64 -1/81 (/.f64 (pow.f64 z 3) (pow.f64 x 4))) (+.f64 (*.f64 -1/9 (/.f64 z (pow.f64 x 2))) (+.f64 (*.f64 1/27 (/.f64 (pow.f64 z 2) (pow.f64 x 3))) (*.f64 1/3 (/.f64 1 x))))) |
(*.f64 3 x) |
(+.f64 (*.f64 3 x) z) |
(+.f64 (*.f64 3 x) z) |
(+.f64 (*.f64 3 x) z) |
z |
(+.f64 (*.f64 3 x) z) |
(+.f64 (*.f64 3 x) z) |
(+.f64 (*.f64 3 x) z) |
z |
(+.f64 (*.f64 3 x) z) |
(+.f64 (*.f64 3 x) z) |
(+.f64 (*.f64 3 x) z) |
z |
(+.f64 (*.f64 3 x) z) |
(+.f64 (*.f64 3 x) z) |
(+.f64 (*.f64 3 x) z) |
(*.f64 3 x) |
(+.f64 (*.f64 3 x) z) |
(+.f64 (*.f64 3 x) z) |
(+.f64 (*.f64 3 x) z) |
(*.f64 3 x) |
(+.f64 (*.f64 3 x) z) |
(+.f64 (*.f64 3 x) z) |
(+.f64 (*.f64 3 x) z) |
(+.f64 z (*.f64 x 3)) |
(+.f64 (*.f64 x 3) z) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 3 z))) 1) |
(-.f64 (/.f64 (*.f64 z z) (+.f64 z (*.f64 -3 x))) (/.f64 (*.f64 (*.f64 x x) 9) (+.f64 z (*.f64 -3 x)))) |
(*.f64 1 (fma.f64 x 3 z)) |
(*.f64 (fma.f64 x 3 z) 1) |
(*.f64 (sqrt.f64 (fma.f64 x 3 z)) (sqrt.f64 (fma.f64 x 3 z))) |
(*.f64 (cbrt.f64 (fma.f64 x 3 z)) (pow.f64 (cbrt.f64 (fma.f64 x 3 z)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 3 z)) 2) (cbrt.f64 (fma.f64 x 3 z))) |
(*.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 x x) 9)) (/.f64 1 (+.f64 z (*.f64 -3 x)))) |
(*.f64 (+.f64 (pow.f64 z 3) (*.f64 (pow.f64 x 3) 27)) (/.f64 1 (fma.f64 z z (*.f64 (*.f64 x 3) (-.f64 (*.f64 x 3) z))))) |
(*.f64 -1 (neg.f64 (fma.f64 x 3 z))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 x 3 z) -1/2) -1) (pow.f64 (pow.f64 (fma.f64 x 3 z) -1/2) -1)) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x 3 z) -2)) -1) (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x 3 z))) -1)) |
(pow.f64 (fma.f64 x 3 z) 1) |
(pow.f64 (/.f64 1 (fma.f64 x 3 z)) -1) |
(pow.f64 (sqrt.f64 (fma.f64 x 3 z)) 2) |
(pow.f64 (cbrt.f64 (fma.f64 x 3 z)) 3) |
(pow.f64 (pow.f64 (fma.f64 x 3 z) 3) 1/3) |
(sqrt.f64 (pow.f64 (fma.f64 x 3 z) 2)) |
(log.f64 (exp.f64 (fma.f64 x 3 z))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 3 z)))) |
(cbrt.f64 (pow.f64 (fma.f64 x 3 z) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 x 3 z))) |
(exp.f64 (log.f64 (fma.f64 x 3 z))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 x 3 z)) 1)) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 x 3 z))) -1)) |
(log1p.f64 (expm1.f64 (fma.f64 x 3 z))) |
(fma.f64 1 z (*.f64 x 3)) |
(fma.f64 1 (*.f64 x 3) z) |
(fma.f64 x 3 z) |
(fma.f64 3 x z) |
(fma.f64 (sqrt.f64 (*.f64 x 3)) (sqrt.f64 (*.f64 x 3)) z) |
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 x 3)) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 3)) 2) (cbrt.f64 (*.f64 x 3)) z) |
(fma.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 z) (*.f64 x 3)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 x 3 z)))) 1) |
(*.f64 1 (/.f64 1 (fma.f64 x 3 z))) |
(*.f64 (/.f64 1 (fma.f64 x 3 z)) 1) |
(*.f64 (pow.f64 (fma.f64 x 3 z) -1/2) (pow.f64 (fma.f64 x 3 z) -1/2)) |
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 x 3 z))) (cbrt.f64 (pow.f64 (fma.f64 x 3 z) -2))) |
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x 3 z) -2)) (/.f64 1 (cbrt.f64 (fma.f64 x 3 z)))) |
(*.f64 -1 (/.f64 -1 (fma.f64 x 3 z))) |
(*.f64 (/.f64 1 (-.f64 (*.f64 z z) (*.f64 (*.f64 x x) 9))) (+.f64 z (*.f64 -3 x))) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 z 3) (*.f64 (pow.f64 x 3) 27))) (fma.f64 z z (*.f64 (*.f64 x 3) (-.f64 (*.f64 x 3) z)))) |
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 x 3 z)) -1) (pow.f64 (sqrt.f64 (fma.f64 x 3 z)) -1)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x 3 z)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 x 3 z)) -1)) |
(pow.f64 (fma.f64 x 3 z) -1) |
(pow.f64 (/.f64 1 (fma.f64 x 3 z)) 1) |
(pow.f64 (pow.f64 (fma.f64 x 3 z) -1/2) 2) |
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x 3 z))) 3) |
(pow.f64 (pow.f64 (/.f64 1 (fma.f64 x 3 z)) 3) 1/3) |
(sqrt.f64 (pow.f64 (fma.f64 x 3 z) -2)) |
(log.f64 (exp.f64 (/.f64 1 (fma.f64 x 3 z)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 x 3 z))))) |
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 x 3 z)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 x 3 z)))) |
(exp.f64 (neg.f64 (log.f64 (fma.f64 x 3 z)))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 x 3 z)) -1)) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 x 3 z))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 x 3 z)))) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 3 z))) 1) |
(-.f64 (/.f64 (*.f64 z z) (+.f64 z (*.f64 -3 x))) (/.f64 (*.f64 (*.f64 x x) 9) (+.f64 z (*.f64 -3 x)))) |
(*.f64 1 (fma.f64 x 3 z)) |
(*.f64 (fma.f64 x 3 z) 1) |
(*.f64 (sqrt.f64 (fma.f64 x 3 z)) (sqrt.f64 (fma.f64 x 3 z))) |
(*.f64 (cbrt.f64 (fma.f64 x 3 z)) (pow.f64 (cbrt.f64 (fma.f64 x 3 z)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 3 z)) 2) (cbrt.f64 (fma.f64 x 3 z))) |
(*.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 x x) 9)) (/.f64 1 (+.f64 z (*.f64 -3 x)))) |
(*.f64 (+.f64 (pow.f64 z 3) (*.f64 (pow.f64 x 3) 27)) (/.f64 1 (fma.f64 z z (*.f64 (*.f64 x 3) (-.f64 (*.f64 x 3) z))))) |
(*.f64 -1 (neg.f64 (fma.f64 x 3 z))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 x 3 z) -1/2) -1) (pow.f64 (pow.f64 (fma.f64 x 3 z) -1/2) -1)) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x 3 z) -2)) -1) (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x 3 z))) -1)) |
(/.f64 1 (/.f64 1 (fma.f64 x 3 z))) |
(/.f64 1 (/.f64 (+.f64 z (*.f64 -3 x)) (-.f64 (*.f64 z z) (*.f64 (*.f64 x x) 9)))) |
(/.f64 1 (/.f64 (fma.f64 z z (*.f64 (*.f64 x 3) (-.f64 (*.f64 x 3) z))) (+.f64 (pow.f64 z 3) (*.f64 (pow.f64 x 3) 27)))) |
(/.f64 1 (neg.f64 (/.f64 -1 (fma.f64 x 3 z)))) |
(/.f64 (fma.f64 x 3 z) 1) |
(/.f64 (sqrt.f64 (fma.f64 x 3 z)) (pow.f64 (fma.f64 x 3 z) -1/2)) |
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 3 z)) 2) (/.f64 1 (cbrt.f64 (fma.f64 x 3 z)))) |
(/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 x x) 9)) (+.f64 z (*.f64 -3 x))) |
(/.f64 (+.f64 (pow.f64 z 3) (*.f64 (pow.f64 x 3) 27)) (fma.f64 z z (*.f64 (*.f64 x 3) (-.f64 (*.f64 x 3) z)))) |
(/.f64 (+.f64 (pow.f64 z 3) (*.f64 (pow.f64 x 3) 27)) (+.f64 (*.f64 (*.f64 x x) 9) (-.f64 (*.f64 z z) (*.f64 z (*.f64 x 3))))) |
(/.f64 -1 (/.f64 -1 (fma.f64 x 3 z))) |
(/.f64 (neg.f64 (fma.f64 x 3 z)) -1) |
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x 3 z) -2))) (/.f64 1 (cbrt.f64 (fma.f64 x 3 z)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 x x) 9))) (neg.f64 (+.f64 z (*.f64 -3 x)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 z 3) (*.f64 (pow.f64 x 3) 27))) (neg.f64 (fma.f64 z z (*.f64 (*.f64 x 3) (-.f64 (*.f64 x 3) z))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) 9) (*.f64 z z)) (-.f64 (*.f64 x 3) z)) |
(pow.f64 (fma.f64 x 3 z) 1) |
(pow.f64 (/.f64 1 (fma.f64 x 3 z)) -1) |
(pow.f64 (sqrt.f64 (fma.f64 x 3 z)) 2) |
(pow.f64 (cbrt.f64 (fma.f64 x 3 z)) 3) |
(pow.f64 (pow.f64 (fma.f64 x 3 z) 3) 1/3) |
(sqrt.f64 (pow.f64 (fma.f64 x 3 z) 2)) |
(log.f64 (exp.f64 (fma.f64 x 3 z))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 3 z)))) |
(cbrt.f64 (pow.f64 (fma.f64 x 3 z) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 x 3 z))) |
(exp.f64 (log.f64 (fma.f64 x 3 z))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 x 3 z)) 1)) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 x 3 z))) -1)) |
(log1p.f64 (expm1.f64 (fma.f64 x 3 z))) |
(fma.f64 1 z (*.f64 x 3)) |
(fma.f64 1 (*.f64 x 3) z) |
(fma.f64 x 3 z) |
(fma.f64 3 x z) |
(fma.f64 (sqrt.f64 (*.f64 x 3)) (sqrt.f64 (*.f64 x 3)) z) |
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 x 3)) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 3)) 2) (cbrt.f64 (*.f64 x 3)) z) |
(fma.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 z) (*.f64 x 3)) |
| Outputs |
|---|
(*.f64 3 x) |
(+.f64 (*.f64 3 x) z) |
(fma.f64 3 x z) |
(+.f64 (*.f64 3 x) z) |
(fma.f64 3 x z) |
(+.f64 (*.f64 3 x) z) |
(fma.f64 3 x z) |
z |
(+.f64 (*.f64 3 x) z) |
(fma.f64 3 x z) |
(+.f64 (*.f64 3 x) z) |
(fma.f64 3 x z) |
(+.f64 (*.f64 3 x) z) |
(fma.f64 3 x z) |
z |
(+.f64 (*.f64 3 x) z) |
(fma.f64 3 x z) |
(+.f64 (*.f64 3 x) z) |
(fma.f64 3 x z) |
(+.f64 (*.f64 3 x) z) |
(fma.f64 3 x z) |
z |
(+.f64 (*.f64 3 x) z) |
(fma.f64 3 x z) |
(+.f64 (*.f64 3 x) z) |
(fma.f64 3 x z) |
(+.f64 (*.f64 3 x) z) |
(fma.f64 3 x z) |
(*.f64 3 x) |
(+.f64 (*.f64 3 x) z) |
(fma.f64 3 x z) |
(+.f64 (*.f64 3 x) z) |
(fma.f64 3 x z) |
(+.f64 (*.f64 3 x) z) |
(fma.f64 3 x z) |
(*.f64 3 x) |
(+.f64 (*.f64 3 x) z) |
(fma.f64 3 x z) |
(+.f64 (*.f64 3 x) z) |
(fma.f64 3 x z) |
(+.f64 (*.f64 3 x) z) |
(fma.f64 3 x z) |
(/.f64 1/3 x) |
(+.f64 (*.f64 -1/9 (/.f64 z (pow.f64 x 2))) (*.f64 1/3 (/.f64 1 x))) |
(fma.f64 -1/9 (/.f64 z (*.f64 x x)) (/.f64 1/3 x)) |
(+.f64 (*.f64 -1/9 (/.f64 z (pow.f64 x 2))) (+.f64 (*.f64 1/27 (/.f64 (pow.f64 z 2) (pow.f64 x 3))) (*.f64 1/3 (/.f64 1 x)))) |
(fma.f64 -1/9 (/.f64 z (*.f64 x x)) (fma.f64 1/27 (/.f64 (*.f64 z z) (pow.f64 x 3)) (/.f64 1/3 x))) |
(fma.f64 -1/9 (/.f64 z (*.f64 x x)) (fma.f64 1/27 (/.f64 z (/.f64 (pow.f64 x 3) z)) (/.f64 1/3 x))) |
(+.f64 (*.f64 -1/81 (/.f64 (pow.f64 z 3) (pow.f64 x 4))) (+.f64 (*.f64 -1/9 (/.f64 z (pow.f64 x 2))) (+.f64 (*.f64 1/27 (/.f64 (pow.f64 z 2) (pow.f64 x 3))) (*.f64 1/3 (/.f64 1 x))))) |
(fma.f64 -1/81 (/.f64 (pow.f64 z 3) (pow.f64 x 4)) (fma.f64 -1/9 (/.f64 z (*.f64 x x)) (fma.f64 1/27 (/.f64 (*.f64 z z) (pow.f64 x 3)) (/.f64 1/3 x)))) |
(fma.f64 -1/81 (/.f64 (pow.f64 z 3) (pow.f64 x 4)) (fma.f64 -1/9 (/.f64 z (*.f64 x x)) (fma.f64 1/27 (/.f64 z (/.f64 (pow.f64 x 3) z)) (/.f64 1/3 x)))) |
(/.f64 1 z) |
(+.f64 (*.f64 -3 (/.f64 x (pow.f64 z 2))) (/.f64 1 z)) |
(fma.f64 -3 (/.f64 x (*.f64 z z)) (/.f64 1 z)) |
(+.f64 (*.f64 -3 (/.f64 x (pow.f64 z 2))) (+.f64 (/.f64 1 z) (*.f64 9 (/.f64 (pow.f64 x 2) (pow.f64 z 3))))) |
(+.f64 (fma.f64 -3 (/.f64 x (*.f64 z z)) (/.f64 1 z)) (*.f64 9 (/.f64 (*.f64 x x) (pow.f64 z 3)))) |
(fma.f64 -3 (/.f64 x (*.f64 z z)) (fma.f64 9 (/.f64 (*.f64 x x) (pow.f64 z 3)) (/.f64 1 z))) |
(+.f64 (/.f64 1 z) (*.f64 (/.f64 x (*.f64 z z)) (+.f64 -3 (/.f64 (*.f64 x 9) z)))) |
(+.f64 (*.f64 -27 (/.f64 (pow.f64 x 3) (pow.f64 z 4))) (+.f64 (*.f64 -3 (/.f64 x (pow.f64 z 2))) (+.f64 (/.f64 1 z) (*.f64 9 (/.f64 (pow.f64 x 2) (pow.f64 z 3)))))) |
(fma.f64 -27 (/.f64 (pow.f64 x 3) (pow.f64 z 4)) (+.f64 (fma.f64 -3 (/.f64 x (*.f64 z z)) (/.f64 1 z)) (*.f64 9 (/.f64 (*.f64 x x) (pow.f64 z 3))))) |
(fma.f64 -27 (/.f64 (pow.f64 x 3) (pow.f64 z 4)) (fma.f64 -3 (/.f64 x (*.f64 z z)) (fma.f64 9 (/.f64 (*.f64 x x) (pow.f64 z 3)) (/.f64 1 z)))) |
(fma.f64 -27 (/.f64 (pow.f64 x 3) (pow.f64 z 4)) (+.f64 (/.f64 1 z) (*.f64 (/.f64 x (*.f64 z z)) (+.f64 -3 (/.f64 (*.f64 x 9) z))))) |
(/.f64 1 z) |
(+.f64 (*.f64 -3 (/.f64 x (pow.f64 z 2))) (/.f64 1 z)) |
(fma.f64 -3 (/.f64 x (*.f64 z z)) (/.f64 1 z)) |
(+.f64 (*.f64 -3 (/.f64 x (pow.f64 z 2))) (+.f64 (/.f64 1 z) (*.f64 9 (/.f64 (pow.f64 x 2) (pow.f64 z 3))))) |
(+.f64 (fma.f64 -3 (/.f64 x (*.f64 z z)) (/.f64 1 z)) (*.f64 9 (/.f64 (*.f64 x x) (pow.f64 z 3)))) |
(fma.f64 -3 (/.f64 x (*.f64 z z)) (fma.f64 9 (/.f64 (*.f64 x x) (pow.f64 z 3)) (/.f64 1 z))) |
(+.f64 (/.f64 1 z) (*.f64 (/.f64 x (*.f64 z z)) (+.f64 -3 (/.f64 (*.f64 x 9) z)))) |
(+.f64 (*.f64 -27 (/.f64 (pow.f64 x 3) (pow.f64 z 4))) (+.f64 (*.f64 -3 (/.f64 x (pow.f64 z 2))) (+.f64 (/.f64 1 z) (*.f64 9 (/.f64 (pow.f64 x 2) (pow.f64 z 3)))))) |
(fma.f64 -27 (/.f64 (pow.f64 x 3) (pow.f64 z 4)) (+.f64 (fma.f64 -3 (/.f64 x (*.f64 z z)) (/.f64 1 z)) (*.f64 9 (/.f64 (*.f64 x x) (pow.f64 z 3))))) |
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(/.f64 1 (/.f64 (fma.f64 z z (*.f64 (*.f64 x 3) (-.f64 (*.f64 x 3) z))) (+.f64 (pow.f64 z 3) (*.f64 (pow.f64 x 3) 27)))) |
(*.f64 (+.f64 (pow.f64 z 3) (*.f64 (pow.f64 x 3) 27)) (/.f64 1 (fma.f64 z z (*.f64 (*.f64 3 x) (-.f64 (*.f64 3 x) z))))) |
(/.f64 (fma.f64 (pow.f64 x 3) 27 (pow.f64 z 3)) (fma.f64 z z (*.f64 x (*.f64 3 (-.f64 (*.f64 3 x) z))))) |
(/.f64 (fma.f64 (pow.f64 x 3) 27 (pow.f64 z 3)) (fma.f64 z (fma.f64 x -3 z) (*.f64 (*.f64 x x) 9))) |
(/.f64 1 (neg.f64 (/.f64 -1 (fma.f64 x 3 z)))) |
(fma.f64 3 x z) |
(/.f64 (fma.f64 x 3 z) 1) |
(fma.f64 3 x z) |
(/.f64 (sqrt.f64 (fma.f64 x 3 z)) (pow.f64 (fma.f64 x 3 z) -1/2)) |
(/.f64 (sqrt.f64 (fma.f64 3 x z)) (pow.f64 (fma.f64 3 x z) -1/2)) |
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 3 z)) 2) (/.f64 1 (cbrt.f64 (fma.f64 x 3 z)))) |
(fma.f64 3 x z) |
(/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 x x) 9)) (+.f64 z (*.f64 -3 x))) |
(/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 x x) 9)) (+.f64 z (*.f64 x -3))) |
(/.f64 (fma.f64 z z (*.f64 (*.f64 x x) -9)) (fma.f64 x -3 z)) |
(/.f64 (fma.f64 z z (*.f64 x (*.f64 x -9))) (fma.f64 x -3 z)) |
(/.f64 (+.f64 (pow.f64 z 3) (*.f64 (pow.f64 x 3) 27)) (fma.f64 z z (*.f64 (*.f64 x 3) (-.f64 (*.f64 x 3) z)))) |
(*.f64 (+.f64 (pow.f64 z 3) (*.f64 (pow.f64 x 3) 27)) (/.f64 1 (fma.f64 z z (*.f64 (*.f64 3 x) (-.f64 (*.f64 3 x) z))))) |
(/.f64 (fma.f64 (pow.f64 x 3) 27 (pow.f64 z 3)) (fma.f64 z z (*.f64 x (*.f64 3 (-.f64 (*.f64 3 x) z))))) |
(/.f64 (fma.f64 (pow.f64 x 3) 27 (pow.f64 z 3)) (fma.f64 z (fma.f64 x -3 z) (*.f64 (*.f64 x x) 9))) |
(/.f64 (+.f64 (pow.f64 z 3) (*.f64 (pow.f64 x 3) 27)) (+.f64 (*.f64 (*.f64 x x) 9) (-.f64 (*.f64 z z) (*.f64 z (*.f64 x 3))))) |
(*.f64 (+.f64 (pow.f64 z 3) (*.f64 (pow.f64 x 3) 27)) (/.f64 1 (fma.f64 z z (*.f64 (*.f64 3 x) (-.f64 (*.f64 3 x) z))))) |
(/.f64 (fma.f64 (pow.f64 x 3) 27 (pow.f64 z 3)) (fma.f64 z z (*.f64 x (*.f64 3 (-.f64 (*.f64 3 x) z))))) |
(/.f64 (fma.f64 (pow.f64 x 3) 27 (pow.f64 z 3)) (fma.f64 z (fma.f64 x -3 z) (*.f64 (*.f64 x x) 9))) |
(/.f64 -1 (/.f64 -1 (fma.f64 x 3 z))) |
(fma.f64 3 x z) |
(/.f64 (neg.f64 (fma.f64 x 3 z)) -1) |
(fma.f64 3 x z) |
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x 3 z) -2))) (/.f64 1 (cbrt.f64 (fma.f64 x 3 z)))) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 3 x z) -2))) (/.f64 1 (/.f64 1 (cbrt.f64 (fma.f64 3 x z))))) |
(/.f64 (cbrt.f64 (fma.f64 3 x z)) (cbrt.f64 (pow.f64 (fma.f64 3 x z) -2))) |
(/.f64 (neg.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 x x) 9))) (neg.f64 (+.f64 z (*.f64 -3 x)))) |
(/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 x x) 9)) (+.f64 z (*.f64 x -3))) |
(/.f64 (fma.f64 z z (*.f64 (*.f64 x x) -9)) (fma.f64 x -3 z)) |
(/.f64 (fma.f64 z z (*.f64 x (*.f64 x -9))) (fma.f64 x -3 z)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 z 3) (*.f64 (pow.f64 x 3) 27))) (neg.f64 (fma.f64 z z (*.f64 (*.f64 x 3) (-.f64 (*.f64 x 3) z))))) |
(*.f64 (+.f64 (pow.f64 z 3) (*.f64 (pow.f64 x 3) 27)) (/.f64 1 (fma.f64 z z (*.f64 (*.f64 3 x) (-.f64 (*.f64 3 x) z))))) |
(/.f64 (fma.f64 (pow.f64 x 3) 27 (pow.f64 z 3)) (fma.f64 z z (*.f64 x (*.f64 3 (-.f64 (*.f64 3 x) z))))) |
(/.f64 (fma.f64 (pow.f64 x 3) 27 (pow.f64 z 3)) (fma.f64 z (fma.f64 x -3 z) (*.f64 (*.f64 x x) 9))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) 9) (*.f64 z z)) (-.f64 (*.f64 x 3) z)) |
(/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 x x) 9)) (+.f64 z (*.f64 x -3))) |
(/.f64 (fma.f64 z z (*.f64 (*.f64 x x) -9)) (fma.f64 x -3 z)) |
(/.f64 (fma.f64 z z (*.f64 x (*.f64 x -9))) (fma.f64 x -3 z)) |
(pow.f64 (fma.f64 x 3 z) 1) |
(fma.f64 3 x z) |
(pow.f64 (/.f64 1 (fma.f64 x 3 z)) -1) |
(fma.f64 3 x z) |
(pow.f64 (sqrt.f64 (fma.f64 x 3 z)) 2) |
(fma.f64 3 x z) |
(pow.f64 (cbrt.f64 (fma.f64 x 3 z)) 3) |
(fma.f64 3 x z) |
(pow.f64 (pow.f64 (fma.f64 x 3 z) 3) 1/3) |
(fma.f64 3 x z) |
(sqrt.f64 (pow.f64 (fma.f64 x 3 z) 2)) |
(fma.f64 3 x z) |
(log.f64 (exp.f64 (fma.f64 x 3 z))) |
(fma.f64 3 x z) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 3 z)))) |
(fma.f64 3 x z) |
(cbrt.f64 (pow.f64 (fma.f64 x 3 z) 3)) |
(fma.f64 3 x z) |
(expm1.f64 (log1p.f64 (fma.f64 x 3 z))) |
(fma.f64 3 x z) |
(exp.f64 (log.f64 (fma.f64 x 3 z))) |
(fma.f64 3 x z) |
(exp.f64 (*.f64 (log.f64 (fma.f64 x 3 z)) 1)) |
(fma.f64 3 x z) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 x 3 z))) -1)) |
(fma.f64 3 x z) |
(log1p.f64 (expm1.f64 (fma.f64 x 3 z))) |
(fma.f64 3 x z) |
(fma.f64 1 z (*.f64 x 3)) |
(fma.f64 3 x z) |
(fma.f64 1 (*.f64 x 3) z) |
(fma.f64 3 x z) |
(fma.f64 x 3 z) |
(fma.f64 3 x z) |
(fma.f64 3 x z) |
(fma.f64 (sqrt.f64 (*.f64 x 3)) (sqrt.f64 (*.f64 x 3)) z) |
(fma.f64 3 x z) |
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 x 3)) |
(fma.f64 3 x z) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 3)) 2) (cbrt.f64 (*.f64 x 3)) z) |
(fma.f64 3 x z) |
(fma.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 z) (*.f64 x 3)) |
(fma.f64 3 x z) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 1 (-.f64 x z)) |
| 0.0b | (+.f64 z (*.f64 x 3)) | |
| ✓ | 0.1b | (*.f64 (+.f64 z (*.f64 x 3)) (-.f64 x z)) |
| ✓ | 29.7b | (*.f64 (/.f64 1 (-.f64 x z)) (*.f64 (+.f64 z (*.f64 x 3)) (-.f64 x z))) |
Compiled 47 to 24 computations (48.9% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | inf | (*.f64 (+.f64 z (*.f64 x 3)) (-.f64 x z)) |
| 0.0ms | x | @ | 0 | (/.f64 1 (-.f64 x z)) |
| 0.0ms | x | @ | -inf | (*.f64 (+.f64 z (*.f64 x 3)) (-.f64 x z)) |
| 0.0ms | z | @ | 0 | (*.f64 (+.f64 z (*.f64 x 3)) (-.f64 x z)) |
| 0.0ms | x | @ | inf | (/.f64 1 (-.f64 x z)) |
| 1× | batch-egg-rewrite |
| 1592× | distribute-lft-in |
| 1056× | associate-/r* |
| 986× | associate-/l* |
| 666× | associate-/r/ |
| 540× | associate-/l/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 75 |
| 1 | 261 | 67 |
| 2 | 3636 | 67 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 1 (-.f64 x z)) (*.f64 (+.f64 z (*.f64 x 3)) (-.f64 x z))) |
(*.f64 (+.f64 z (*.f64 x 3)) (-.f64 x z)) |
(/.f64 1 (-.f64 x z)) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 1862× | associate-/l* |
| 1208× | associate-*r* |
| 1208× | associate-/r* |
| 1018× | associate-*l* |
| 940× | *-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 858 | 19323 |
| 1 | 2668 | 18969 |
| 1× | node limit |
| Inputs |
|---|
z |
(+.f64 (*.f64 3 x) z) |
(+.f64 (*.f64 3 x) z) |
(+.f64 (*.f64 3 x) z) |
(*.f64 3 x) |
(+.f64 (*.f64 3 x) z) |
(+.f64 (*.f64 3 x) z) |
(+.f64 (*.f64 3 x) z) |
(*.f64 3 x) |
(+.f64 (*.f64 3 x) z) |
(+.f64 (*.f64 3 x) z) |
(+.f64 (*.f64 3 x) z) |
(*.f64 3 x) |
(+.f64 (*.f64 3 x) z) |
(+.f64 (*.f64 3 x) z) |
(+.f64 (*.f64 3 x) z) |
z |
(+.f64 (*.f64 3 x) z) |
(+.f64 (*.f64 3 x) z) |
(+.f64 (*.f64 3 x) z) |
z |
(+.f64 (*.f64 3 x) z) |
(+.f64 (*.f64 3 x) z) |
(+.f64 (*.f64 3 x) z) |
(*.f64 3 (pow.f64 x 2)) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 z (+.f64 (*.f64 -3 x) x))) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (+.f64 (*.f64 z (+.f64 (*.f64 -3 x) x)) (*.f64 -1 (pow.f64 z 2)))) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (+.f64 (*.f64 z (+.f64 (*.f64 -3 x) x)) (*.f64 -1 (pow.f64 z 2)))) |
(*.f64 -1 (pow.f64 z 2)) |
(+.f64 (*.f64 z (+.f64 (*.f64 -3 x) x)) (*.f64 -1 (pow.f64 z 2))) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (+.f64 (*.f64 z (+.f64 (*.f64 -3 x) x)) (*.f64 -1 (pow.f64 z 2)))) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (+.f64 (*.f64 z (+.f64 (*.f64 -3 x) x)) (*.f64 -1 (pow.f64 z 2)))) |
(*.f64 -1 (pow.f64 z 2)) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 3 x) (*.f64 -1 x)) z)) (*.f64 -1 (pow.f64 z 2))) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 3 x) (*.f64 -1 x)) z)) (*.f64 -1 (pow.f64 z 2)))) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 3 x) (*.f64 -1 x)) z)) (*.f64 -1 (pow.f64 z 2)))) |
(*.f64 -1 (pow.f64 z 2)) |
(+.f64 (*.f64 -1 (pow.f64 z 2)) (*.f64 (+.f64 (*.f64 -3 z) z) x)) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (+.f64 (*.f64 -1 (pow.f64 z 2)) (*.f64 (+.f64 (*.f64 -3 z) z) x))) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (+.f64 (*.f64 -1 (pow.f64 z 2)) (*.f64 (+.f64 (*.f64 -3 z) z) x))) |
(*.f64 3 (pow.f64 x 2)) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 (+.f64 (*.f64 -3 z) z) x)) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (+.f64 (*.f64 -1 (pow.f64 z 2)) (*.f64 (+.f64 (*.f64 -3 z) z) x))) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (+.f64 (*.f64 -1 (pow.f64 z 2)) (*.f64 (+.f64 (*.f64 -3 z) z) x))) |
(*.f64 3 (pow.f64 x 2)) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 (+.f64 (*.f64 -3 z) z) x)) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (+.f64 (*.f64 -1 (pow.f64 z 2)) (*.f64 (+.f64 (*.f64 -3 z) z) x))) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (+.f64 (*.f64 -1 (pow.f64 z 2)) (*.f64 (+.f64 (*.f64 -3 z) z) x))) |
(/.f64 -1 z) |
(-.f64 (*.f64 -1 (/.f64 x (pow.f64 z 2))) (/.f64 1 z)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 z 3))) (*.f64 -1 (/.f64 x (pow.f64 z 2)))) (/.f64 1 z)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 z 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 z 3))) (*.f64 -1 (/.f64 x (pow.f64 z 2))))) (/.f64 1 z)) |
(/.f64 1 x) |
(+.f64 (/.f64 1 x) (/.f64 z (pow.f64 x 2))) |
(+.f64 (/.f64 (pow.f64 z 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 z (pow.f64 x 2)))) |
(+.f64 (/.f64 (pow.f64 z 3) (pow.f64 x 4)) (+.f64 (/.f64 (pow.f64 z 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 z (pow.f64 x 2))))) |
(/.f64 1 x) |
(+.f64 (/.f64 1 x) (/.f64 z (pow.f64 x 2))) |
(+.f64 (/.f64 (pow.f64 z 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 z (pow.f64 x 2)))) |
(+.f64 (/.f64 (pow.f64 z 3) (pow.f64 x 4)) (+.f64 (/.f64 (pow.f64 z 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 z (pow.f64 x 2))))) |
(/.f64 1 x) |
(+.f64 (/.f64 1 x) (/.f64 z (pow.f64 x 2))) |
(+.f64 (/.f64 (pow.f64 z 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 z (pow.f64 x 2)))) |
(+.f64 (/.f64 (pow.f64 z 3) (pow.f64 x 4)) (+.f64 (/.f64 (pow.f64 z 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 z (pow.f64 x 2))))) |
(/.f64 -1 z) |
(-.f64 (*.f64 -1 (/.f64 x (pow.f64 z 2))) (/.f64 1 z)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 z 3))) (*.f64 -1 (/.f64 x (pow.f64 z 2)))) (/.f64 1 z)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 z 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 z 3))) (*.f64 -1 (/.f64 x (pow.f64 z 2))))) (/.f64 1 z)) |
(/.f64 -1 z) |
(-.f64 (*.f64 -1 (/.f64 x (pow.f64 z 2))) (/.f64 1 z)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 z 3))) (*.f64 -1 (/.f64 x (pow.f64 z 2)))) (/.f64 1 z)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 z 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 z 3))) (*.f64 -1 (/.f64 x (pow.f64 z 2))))) (/.f64 1 z)) |
(+.f64 (*.f64 (-.f64 x z) (/.f64 (fma.f64 x 3 z) (-.f64 x z))) (*.f64 (/.f64 (fma.f64 x 3 z) (-.f64 x z)) (fma.f64 (neg.f64 z) 1 z))) |
(+.f64 (*.f64 (-.f64 x z) (/.f64 (fma.f64 x 3 z) (-.f64 x z))) (*.f64 (/.f64 (fma.f64 x 3 z) (-.f64 x z)) (fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) z))) |
(+.f64 (*.f64 (-.f64 x z) (/.f64 (fma.f64 x 3 z) (-.f64 x z))) (*.f64 (/.f64 (fma.f64 x 3 z) (-.f64 x z)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z))) |
(+.f64 (*.f64 (/.f64 (fma.f64 x 3 z) (-.f64 x z)) x) (*.f64 (/.f64 (fma.f64 x 3 z) (-.f64 x z)) (neg.f64 z))) |
(+.f64 (*.f64 (/.f64 (fma.f64 x 3 z) (-.f64 x z)) x) (*.f64 (/.f64 (fma.f64 x 3 z) (-.f64 x z)) (*.f64 (neg.f64 z) 1))) |
(+.f64 (*.f64 (/.f64 (fma.f64 x 3 z) (-.f64 x z)) (neg.f64 z)) (*.f64 (/.f64 (fma.f64 x 3 z) (-.f64 x z)) x)) |
(+.f64 (*.f64 x (/.f64 (fma.f64 x 3 z) (-.f64 x z))) (*.f64 (neg.f64 z) (/.f64 (fma.f64 x 3 z) (-.f64 x z)))) |
(+.f64 (*.f64 (neg.f64 z) (/.f64 (fma.f64 x 3 z) (-.f64 x z))) (*.f64 x (/.f64 (fma.f64 x 3 z) (-.f64 x z)))) |
(+.f64 (*.f64 1 (*.f64 (/.f64 (fma.f64 x 3 z) (-.f64 x z)) x)) (*.f64 1 (*.f64 (/.f64 (fma.f64 x 3 z) (-.f64 x z)) (neg.f64 z)))) |
(+.f64 (*.f64 1 (*.f64 x (/.f64 (fma.f64 x 3 z) (-.f64 x z)))) (*.f64 1 (*.f64 (neg.f64 z) (/.f64 (fma.f64 x 3 z) (-.f64 x z))))) |
(+.f64 (*.f64 (-.f64 x z) (*.f64 (/.f64 1 (-.f64 x z)) z)) (*.f64 (-.f64 x z) (*.f64 (/.f64 1 (-.f64 x z)) (*.f64 x 3)))) |
(+.f64 (*.f64 (-.f64 x z) (*.f64 (/.f64 1 (-.f64 x z)) (*.f64 x 3))) (*.f64 (-.f64 x z) (*.f64 (/.f64 1 (-.f64 x z)) z))) |
(+.f64 (*.f64 (-.f64 x z) (*.f64 z (/.f64 1 (-.f64 x z)))) (*.f64 (-.f64 x z) (*.f64 (*.f64 x 3) (/.f64 1 (-.f64 x z))))) |
(+.f64 (*.f64 (-.f64 x z) (*.f64 (*.f64 x 3) (/.f64 1 (-.f64 x z)))) (*.f64 (-.f64 x z) (*.f64 z (/.f64 1 (-.f64 x z))))) |
(+.f64 (*.f64 (/.f64 1 (-.f64 x z)) (*.f64 (-.f64 x z) z)) (*.f64 (/.f64 1 (-.f64 x z)) (*.f64 (-.f64 x z) (*.f64 x 3)))) |
(+.f64 (*.f64 (/.f64 1 (-.f64 x z)) (*.f64 (-.f64 x z) (*.f64 x 3))) (*.f64 (/.f64 1 (-.f64 x z)) (*.f64 (-.f64 x z) z))) |
(+.f64 (*.f64 (/.f64 1 (-.f64 x z)) (*.f64 (fma.f64 x 3 z) x)) (*.f64 (/.f64 1 (-.f64 x z)) (*.f64 (fma.f64 x 3 z) (neg.f64 z)))) |
(+.f64 (*.f64 (/.f64 1 (-.f64 x z)) (*.f64 z (-.f64 x z))) (*.f64 (/.f64 1 (-.f64 x z)) (*.f64 (*.f64 x 3) (-.f64 x z)))) |
(+.f64 (*.f64 (/.f64 1 (-.f64 x z)) (*.f64 (*.f64 x 3) (-.f64 x z))) (*.f64 (/.f64 1 (-.f64 x z)) (*.f64 z (-.f64 x z)))) |
(+.f64 (*.f64 (/.f64 1 (-.f64 x z)) (*.f64 x (fma.f64 x 3 z))) (*.f64 (/.f64 1 (-.f64 x z)) (*.f64 (neg.f64 z) (fma.f64 x 3 z)))) |
(+.f64 (*.f64 (*.f64 (/.f64 1 (-.f64 x z)) (-.f64 x z)) z) (*.f64 (*.f64 (/.f64 1 (-.f64 x z)) (-.f64 x z)) (*.f64 x 3))) |
(+.f64 (*.f64 (*.f64 (/.f64 1 (-.f64 x z)) (-.f64 x z)) (*.f64 x 3)) (*.f64 (*.f64 (/.f64 1 (-.f64 x z)) (-.f64 x z)) z)) |
(+.f64 (*.f64 (/.f64 (fma.f64 x 3 z) (+.f64 x z)) x) (*.f64 (/.f64 (fma.f64 x 3 z) (+.f64 x z)) z)) |
(+.f64 (*.f64 (/.f64 (fma.f64 x 3 z) (+.f64 x z)) z) (*.f64 (/.f64 (fma.f64 x 3 z) (+.f64 x z)) x)) |
(+.f64 (*.f64 (/.f64 (-.f64 x z) (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) (fma.f64 x 3 z))) (*.f64 x x)) (*.f64 (/.f64 (-.f64 x z) (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) (fma.f64 x 3 z))) (*.f64 z (+.f64 x z)))) |
(+.f64 (*.f64 (/.f64 (-.f64 x z) (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) (fma.f64 x 3 z))) (*.f64 z (+.f64 x z))) (*.f64 (/.f64 (-.f64 x z) (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) (fma.f64 x 3 z))) (*.f64 x x))) |
(+.f64 (*.f64 (/.f64 (-.f64 x z) (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) (fma.f64 x 3 z))) (+.f64 (*.f64 z z) (*.f64 x x))) (*.f64 (/.f64 (-.f64 x z) (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) (fma.f64 x 3 z))) (*.f64 x z))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 x z) (/.f64 (fma.f64 x 3 z) (-.f64 x z))))) 1) |
(/.f64 1 (/.f64 (/.f64 (-.f64 x z) (fma.f64 x 3 z)) (-.f64 x z))) |
(/.f64 1 (*.f64 (/.f64 (-.f64 x z) (fma.f64 x 3 z)) (/.f64 1 (-.f64 x z)))) |
(/.f64 1 (*.f64 (/.f64 (-.f64 x z) (-.f64 x z)) (/.f64 1 (fma.f64 x 3 z)))) |
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(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) (fma.f64 x 3 z)) (sqrt.f64 (fma.f64 x x (*.f64 z (+.f64 x z))))) (sqrt.f64 (fma.f64 x x (*.f64 z (+.f64 x z))))) |
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) (fma.f64 x 3 z)) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 z (+.f64 x z)))) (cbrt.f64 (fma.f64 x x (*.f64 z (+.f64 x z)))))) (cbrt.f64 (fma.f64 x x (*.f64 z (+.f64 x z))))) |
(/.f64 (/.f64 (*.f64 (-.f64 (*.f64 z z) (*.f64 9 (*.f64 x x))) (-.f64 x z)) 1) (+.f64 z (*.f64 -3 x))) |
(/.f64 (/.f64 (*.f64 (-.f64 (*.f64 z z) (*.f64 9 (*.f64 x x))) (-.f64 x z)) (sqrt.f64 (+.f64 z (*.f64 -3 x)))) (sqrt.f64 (+.f64 z (*.f64 -3 x)))) |
(/.f64 (/.f64 (*.f64 (-.f64 (*.f64 z z) (*.f64 9 (*.f64 x x))) (-.f64 x z)) (*.f64 (cbrt.f64 (+.f64 z (*.f64 -3 x))) (cbrt.f64 (+.f64 z (*.f64 -3 x))))) (cbrt.f64 (+.f64 z (*.f64 -3 x)))) |
(/.f64 (/.f64 (*.f64 (-.f64 (*.f64 z z) (*.f64 9 (*.f64 x x))) (-.f64 x z)) (+.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 x 3)))) (-.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 x 3)))) |
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 z 3) (*.f64 27 (pow.f64 x 3))) (-.f64 x z)) 1) (fma.f64 z z (*.f64 (*.f64 x 3) (-.f64 (*.f64 x 3) z)))) |
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 z 3) (*.f64 27 (pow.f64 x 3))) (-.f64 x z)) (sqrt.f64 (fma.f64 z z (*.f64 (*.f64 x 3) (-.f64 (*.f64 x 3) z))))) (sqrt.f64 (fma.f64 z z (*.f64 (*.f64 x 3) (-.f64 (*.f64 x 3) z))))) |
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 z 3) (*.f64 27 (pow.f64 x 3))) (-.f64 x z)) (*.f64 (cbrt.f64 (fma.f64 z z (*.f64 (*.f64 x 3) (-.f64 (*.f64 x 3) z)))) (cbrt.f64 (fma.f64 z z (*.f64 (*.f64 x 3) (-.f64 (*.f64 x 3) z)))))) (cbrt.f64 (fma.f64 z z (*.f64 (*.f64 x 3) (-.f64 (*.f64 x 3) z))))) |
(/.f64 (/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 z z)) (-.f64 (*.f64 z z) (*.f64 9 (*.f64 x x)))) (+.f64 x z)) (+.f64 z (*.f64 -3 x))) |
(/.f64 (/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 z z)) (+.f64 (pow.f64 z 3) (*.f64 27 (pow.f64 x 3)))) (+.f64 x z)) (fma.f64 z z (*.f64 (*.f64 x 3) (-.f64 (*.f64 x 3) z)))) |
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) (-.f64 (*.f64 z z) (*.f64 9 (*.f64 x x)))) (fma.f64 x x (*.f64 z (+.f64 x z)))) (+.f64 z (*.f64 -3 x))) |
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) (+.f64 (pow.f64 z 3) (*.f64 27 (pow.f64 x 3)))) (fma.f64 x x (*.f64 z (+.f64 x z)))) (fma.f64 z z (*.f64 (*.f64 x 3) (-.f64 (*.f64 x 3) z)))) |
(/.f64 (/.f64 (*.f64 (-.f64 (*.f64 z z) (*.f64 9 (*.f64 x x))) (-.f64 (*.f64 x x) (*.f64 z z))) (+.f64 z (*.f64 -3 x))) (+.f64 x z)) |
(/.f64 (/.f64 (*.f64 (-.f64 (*.f64 z z) (*.f64 9 (*.f64 x x))) (-.f64 (pow.f64 x 3) (pow.f64 z 3))) (+.f64 z (*.f64 -3 x))) (fma.f64 x x (*.f64 z (+.f64 x z)))) |
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 z 3) (*.f64 27 (pow.f64 x 3))) (-.f64 (*.f64 x x) (*.f64 z z))) (fma.f64 z z (*.f64 (*.f64 x 3) (-.f64 (*.f64 x 3) z)))) (+.f64 x z)) |
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 z 3) (*.f64 27 (pow.f64 x 3))) (-.f64 (pow.f64 x 3) (pow.f64 z 3))) (fma.f64 z z (*.f64 (*.f64 x 3) (-.f64 (*.f64 x 3) z)))) (fma.f64 x x (*.f64 z (+.f64 x z)))) |
(pow.f64 (*.f64 (-.f64 x z) (fma.f64 x 3 z)) 1) |
(pow.f64 (sqrt.f64 (*.f64 (-.f64 x z) (fma.f64 x 3 z))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (-.f64 x z) (fma.f64 x 3 z))) 3) |
(pow.f64 (pow.f64 (*.f64 (-.f64 x z) (fma.f64 x 3 z)) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 (-.f64 x z) (fma.f64 x 3 z)) 2)) |
(log.f64 (pow.f64 (exp.f64 (-.f64 x z)) (fma.f64 x 3 z))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 x z) (fma.f64 x 3 z))))) |
(cbrt.f64 (pow.f64 (*.f64 (-.f64 x z) (fma.f64 x 3 z)) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (-.f64 x z) 3) (pow.f64 (fma.f64 x 3 z) 3))) |
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x 3 z) 3) (pow.f64 (-.f64 x z) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (-.f64 x z) (fma.f64 x 3 z)))) |
(exp.f64 (log.f64 (*.f64 (-.f64 x z) (fma.f64 x 3 z)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 x z) (fma.f64 x 3 z))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (-.f64 x z) (fma.f64 x 3 z)))) |
(+.f64 (*.f64 (/.f64 1 (-.f64 (*.f64 x x) (*.f64 z z))) x) (*.f64 (/.f64 1 (-.f64 (*.f64 x x) (*.f64 z z))) z)) |
(+.f64 (*.f64 (/.f64 1 (-.f64 (*.f64 x x) (*.f64 z z))) z) (*.f64 (/.f64 1 (-.f64 (*.f64 x x) (*.f64 z z))) x)) |
(+.f64 (*.f64 (/.f64 1 (-.f64 (pow.f64 x 3) (pow.f64 z 3))) (*.f64 x x)) (*.f64 (/.f64 1 (-.f64 (pow.f64 x 3) (pow.f64 z 3))) (*.f64 z (+.f64 x z)))) |
(+.f64 (*.f64 (/.f64 1 (-.f64 (pow.f64 x 3) (pow.f64 z 3))) (*.f64 z (+.f64 x z))) (*.f64 (/.f64 1 (-.f64 (pow.f64 x 3) (pow.f64 z 3))) (*.f64 x x))) |
(+.f64 (*.f64 (/.f64 1 (-.f64 (pow.f64 x 3) (pow.f64 z 3))) (+.f64 (*.f64 z z) (*.f64 x x))) (*.f64 (/.f64 1 (-.f64 (pow.f64 x 3) (pow.f64 z 3))) (*.f64 x z))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 x z)))) 1) |
(*.f64 1 (/.f64 1 (-.f64 x z))) |
(*.f64 (/.f64 1 (-.f64 x z)) 1) |
(*.f64 (pow.f64 (-.f64 x z) -1/2) (pow.f64 (-.f64 x z) -1/2)) |
(*.f64 (cbrt.f64 (/.f64 1 (-.f64 x z))) (cbrt.f64 (pow.f64 (-.f64 x z) -2))) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 x z) -2)) (cbrt.f64 (/.f64 1 (-.f64 x z)))) |
(*.f64 -1 (/.f64 -1 (-.f64 x z))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 x z)) 2)) (cbrt.f64 (/.f64 1 (-.f64 x z)))) |
(*.f64 (/.f64 1 (-.f64 (*.f64 x x) (*.f64 z z))) (+.f64 x z)) |
(*.f64 (/.f64 1 (-.f64 (pow.f64 x 3) (pow.f64 z 3))) (fma.f64 x x (*.f64 z (+.f64 x z)))) |
(*.f64 (/.f64 -1 (-.f64 x z)) -1) |
(*.f64 (pow.f64 (sqrt.f64 (-.f64 x z)) -1) (pow.f64 (sqrt.f64 (-.f64 x z)) -1)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 x z)) 2) -1) (pow.f64 (cbrt.f64 (-.f64 x z)) -1)) |
(*.f64 (/.f64 (+.f64 x z) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 z z) (*.f64 z z)))) (+.f64 (*.f64 z z) (*.f64 x x))) |
(*.f64 (/.f64 (+.f64 x z) (-.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 z z) 3))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (*.f64 (*.f64 x x) (*.f64 z z))))) |
(*.f64 (/.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (-.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 z 3) (pow.f64 z 3)))) (+.f64 (pow.f64 z 3) (pow.f64 x 3))) |
(*.f64 (/.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 z 3) 3))) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (+.f64 (*.f64 (pow.f64 z 3) (pow.f64 z 3)) (*.f64 (pow.f64 x 3) (pow.f64 z 3))))) |
(*.f64 (/.f64 1 (neg.f64 (-.f64 (*.f64 x x) (*.f64 z z)))) (neg.f64 (+.f64 x z))) |
(*.f64 (/.f64 1 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)))) (neg.f64 (fma.f64 x x (*.f64 z (+.f64 x z))))) |
(*.f64 (/.f64 1 (-.f64 (*.f64 x x) (*.f64 (neg.f64 z) (neg.f64 z)))) (-.f64 x (neg.f64 z))) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 z) 3))) (+.f64 (*.f64 x x) (-.f64 (*.f64 (neg.f64 z) (neg.f64 z)) (*.f64 x (neg.f64 z))))) |
(*.f64 (/.f64 (pow.f64 (-.f64 x z) -1/2) (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)))) (sqrt.f64 (fma.f64 x x (*.f64 z (+.f64 x z))))) |
(*.f64 (/.f64 (pow.f64 (-.f64 x z) -1/2) (sqrt.f64 (-.f64 (*.f64 x x) (*.f64 z z)))) (sqrt.f64 (+.f64 x z))) |
(*.f64 (/.f64 -1 (neg.f64 (-.f64 (*.f64 x x) (*.f64 z z)))) (+.f64 x z)) |
(*.f64 (/.f64 -1 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)))) (fma.f64 x x (*.f64 z (+.f64 x z)))) |
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 x z)) 2)) (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)))) (cbrt.f64 (fma.f64 x x (*.f64 z (+.f64 x z))))) |
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 x z)) 2)) (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 z z)))) (cbrt.f64 (+.f64 x z))) |
(pow.f64 (-.f64 x z) -1) |
(pow.f64 (/.f64 1 (-.f64 x z)) 1) |
(pow.f64 (pow.f64 (-.f64 x z) -1/2) 2) |
(pow.f64 (cbrt.f64 (/.f64 1 (-.f64 x z))) 3) |
(pow.f64 (pow.f64 (/.f64 1 (-.f64 x z)) 3) 1/3) |
(sqrt.f64 (pow.f64 (-.f64 x z) -2)) |
(log.f64 (exp.f64 (/.f64 1 (-.f64 x z)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 x z))))) |
(cbrt.f64 (pow.f64 (/.f64 1 (-.f64 x z)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 x z)))) |
(exp.f64 (neg.f64 (log.f64 (-.f64 x z)))) |
(exp.f64 (*.f64 (log.f64 (-.f64 x z)) -1)) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 x z))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 x z)))) |
| Outputs |
|---|
z |
(+.f64 (*.f64 3 x) z) |
(fma.f64 3 x z) |
(+.f64 (*.f64 3 x) z) |
(fma.f64 3 x z) |
(+.f64 (*.f64 3 x) z) |
(fma.f64 3 x z) |
(*.f64 3 x) |
(+.f64 (*.f64 3 x) z) |
(fma.f64 3 x z) |
(+.f64 (*.f64 3 x) z) |
(fma.f64 3 x z) |
(+.f64 (*.f64 3 x) z) |
(fma.f64 3 x z) |
(*.f64 3 x) |
(+.f64 (*.f64 3 x) z) |
(fma.f64 3 x z) |
(+.f64 (*.f64 3 x) z) |
(fma.f64 3 x z) |
(+.f64 (*.f64 3 x) z) |
(fma.f64 3 x z) |
(*.f64 3 x) |
(+.f64 (*.f64 3 x) z) |
(fma.f64 3 x z) |
(+.f64 (*.f64 3 x) z) |
(fma.f64 3 x z) |
(+.f64 (*.f64 3 x) z) |
(fma.f64 3 x z) |
z |
(+.f64 (*.f64 3 x) z) |
(fma.f64 3 x z) |
(+.f64 (*.f64 3 x) z) |
(fma.f64 3 x z) |
(+.f64 (*.f64 3 x) z) |
(fma.f64 3 x z) |
z |
(+.f64 (*.f64 3 x) z) |
(fma.f64 3 x z) |
(+.f64 (*.f64 3 x) z) |
(fma.f64 3 x z) |
(+.f64 (*.f64 3 x) z) |
(fma.f64 3 x z) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 z (+.f64 (*.f64 -3 x) x))) |
(fma.f64 3 (*.f64 x x) (*.f64 z (*.f64 -2 x))) |
(fma.f64 3 (*.f64 x x) (*.f64 -2 (*.f64 z x))) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (+.f64 (*.f64 z (+.f64 (*.f64 -3 x) x)) (*.f64 -1 (pow.f64 z 2)))) |
(fma.f64 3 (*.f64 x x) (fma.f64 z (*.f64 -2 x) (neg.f64 (*.f64 z z)))) |
(fma.f64 3 (*.f64 x x) (fma.f64 z (*.f64 x -2) (*.f64 z (neg.f64 z)))) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (+.f64 (*.f64 z (+.f64 (*.f64 -3 x) x)) (*.f64 -1 (pow.f64 z 2)))) |
(fma.f64 3 (*.f64 x x) (fma.f64 z (*.f64 -2 x) (neg.f64 (*.f64 z z)))) |
(fma.f64 3 (*.f64 x x) (fma.f64 z (*.f64 x -2) (*.f64 z (neg.f64 z)))) |
(*.f64 -1 (pow.f64 z 2)) |
(neg.f64 (*.f64 z z)) |
(*.f64 z (neg.f64 z)) |
(+.f64 (*.f64 z (+.f64 (*.f64 -3 x) x)) (*.f64 -1 (pow.f64 z 2))) |
(fma.f64 z (*.f64 -2 x) (neg.f64 (*.f64 z z))) |
(fma.f64 z (*.f64 x -2) (*.f64 z (neg.f64 z))) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (+.f64 (*.f64 z (+.f64 (*.f64 -3 x) x)) (*.f64 -1 (pow.f64 z 2)))) |
(fma.f64 3 (*.f64 x x) (fma.f64 z (*.f64 -2 x) (neg.f64 (*.f64 z z)))) |
(fma.f64 3 (*.f64 x x) (fma.f64 z (*.f64 x -2) (*.f64 z (neg.f64 z)))) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (+.f64 (*.f64 z (+.f64 (*.f64 -3 x) x)) (*.f64 -1 (pow.f64 z 2)))) |
(fma.f64 3 (*.f64 x x) (fma.f64 z (*.f64 -2 x) (neg.f64 (*.f64 z z)))) |
(fma.f64 3 (*.f64 x x) (fma.f64 z (*.f64 x -2) (*.f64 z (neg.f64 z)))) |
(*.f64 -1 (pow.f64 z 2)) |
(neg.f64 (*.f64 z z)) |
(*.f64 z (neg.f64 z)) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 3 x) (*.f64 -1 x)) z)) (*.f64 -1 (pow.f64 z 2))) |
(*.f64 -1 (+.f64 (*.f64 z (*.f64 x 2)) (*.f64 z z))) |
(*.f64 -1 (+.f64 (*.f64 (*.f64 z x) 2) (*.f64 z z))) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 3 x) (*.f64 -1 x)) z)) (*.f64 -1 (pow.f64 z 2)))) |
(fma.f64 3 (*.f64 x x) (*.f64 -1 (+.f64 (*.f64 z (*.f64 x 2)) (*.f64 z z)))) |
(fma.f64 3 (*.f64 x x) (*.f64 -1 (+.f64 (*.f64 (*.f64 z x) 2) (*.f64 z z)))) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 3 x) (*.f64 -1 x)) z)) (*.f64 -1 (pow.f64 z 2)))) |
(fma.f64 3 (*.f64 x x) (*.f64 -1 (+.f64 (*.f64 z (*.f64 x 2)) (*.f64 z z)))) |
(fma.f64 3 (*.f64 x x) (*.f64 -1 (+.f64 (*.f64 (*.f64 z x) 2) (*.f64 z z)))) |
(*.f64 -1 (pow.f64 z 2)) |
(neg.f64 (*.f64 z z)) |
(*.f64 z (neg.f64 z)) |
(+.f64 (*.f64 -1 (pow.f64 z 2)) (*.f64 (+.f64 (*.f64 -3 z) z) x)) |
(fma.f64 z (*.f64 -2 x) (neg.f64 (*.f64 z z))) |
(fma.f64 z (*.f64 x -2) (*.f64 z (neg.f64 z))) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (+.f64 (*.f64 -1 (pow.f64 z 2)) (*.f64 (+.f64 (*.f64 -3 z) z) x))) |
(fma.f64 3 (*.f64 x x) (fma.f64 z (*.f64 -2 x) (neg.f64 (*.f64 z z)))) |
(fma.f64 3 (*.f64 x x) (fma.f64 z (*.f64 x -2) (*.f64 z (neg.f64 z)))) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (+.f64 (*.f64 -1 (pow.f64 z 2)) (*.f64 (+.f64 (*.f64 -3 z) z) x))) |
(fma.f64 3 (*.f64 x x) (fma.f64 z (*.f64 -2 x) (neg.f64 (*.f64 z z)))) |
(fma.f64 3 (*.f64 x x) (fma.f64 z (*.f64 x -2) (*.f64 z (neg.f64 z)))) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 (+.f64 (*.f64 -3 z) z) x)) |
(fma.f64 3 (*.f64 x x) (*.f64 z (*.f64 -2 x))) |
(fma.f64 3 (*.f64 x x) (*.f64 -2 (*.f64 z x))) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (+.f64 (*.f64 -1 (pow.f64 z 2)) (*.f64 (+.f64 (*.f64 -3 z) z) x))) |
(fma.f64 3 (*.f64 x x) (fma.f64 z (*.f64 -2 x) (neg.f64 (*.f64 z z)))) |
(fma.f64 3 (*.f64 x x) (fma.f64 z (*.f64 x -2) (*.f64 z (neg.f64 z)))) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (+.f64 (*.f64 -1 (pow.f64 z 2)) (*.f64 (+.f64 (*.f64 -3 z) z) x))) |
(fma.f64 3 (*.f64 x x) (fma.f64 z (*.f64 -2 x) (neg.f64 (*.f64 z z)))) |
(fma.f64 3 (*.f64 x x) (fma.f64 z (*.f64 x -2) (*.f64 z (neg.f64 z)))) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 (+.f64 (*.f64 -3 z) z) x)) |
(fma.f64 3 (*.f64 x x) (*.f64 z (*.f64 -2 x))) |
(fma.f64 3 (*.f64 x x) (*.f64 -2 (*.f64 z x))) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (+.f64 (*.f64 -1 (pow.f64 z 2)) (*.f64 (+.f64 (*.f64 -3 z) z) x))) |
(fma.f64 3 (*.f64 x x) (fma.f64 z (*.f64 -2 x) (neg.f64 (*.f64 z z)))) |
(fma.f64 3 (*.f64 x x) (fma.f64 z (*.f64 x -2) (*.f64 z (neg.f64 z)))) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (+.f64 (*.f64 -1 (pow.f64 z 2)) (*.f64 (+.f64 (*.f64 -3 z) z) x))) |
(fma.f64 3 (*.f64 x x) (fma.f64 z (*.f64 -2 x) (neg.f64 (*.f64 z z)))) |
(fma.f64 3 (*.f64 x x) (fma.f64 z (*.f64 x -2) (*.f64 z (neg.f64 z)))) |
(/.f64 -1 z) |
(-.f64 (*.f64 -1 (/.f64 x (pow.f64 z 2))) (/.f64 1 z)) |
(-.f64 (/.f64 (neg.f64 x) (*.f64 z z)) (/.f64 1 z)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 z 3))) (*.f64 -1 (/.f64 x (pow.f64 z 2)))) (/.f64 1 z)) |
(-.f64 (*.f64 -1 (+.f64 (/.f64 (*.f64 x x) (pow.f64 z 3)) (/.f64 x (*.f64 z z)))) (/.f64 1 z)) |
(-.f64 (fma.f64 -1 (/.f64 x (/.f64 (pow.f64 z 3) x)) (/.f64 (neg.f64 x) (*.f64 z z))) (/.f64 1 z)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 z 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 z 3))) (*.f64 -1 (/.f64 x (pow.f64 z 2))))) (/.f64 1 z)) |
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(/.f64 (*.f64 (fma.f64 x x (*.f64 z (+.f64 z x))) (+.f64 (*.f64 (pow.f64 z 3) (pow.f64 x 3)) (+.f64 (pow.f64 x 6) (pow.f64 z 6)))) (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 z 3) 3))) |
(*.f64 (/.f64 1 (neg.f64 (-.f64 (*.f64 x x) (*.f64 z z)))) (neg.f64 (+.f64 x z))) |
(*.f64 (+.f64 z x) (/.f64 1 (-.f64 (*.f64 x x) (*.f64 z z)))) |
(*.f64 (+.f64 z x) (/.f64 (/.f64 1 (-.f64 x z)) (+.f64 z x))) |
(*.f64 (/.f64 1 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)))) (neg.f64 (fma.f64 x x (*.f64 z (+.f64 x z))))) |
(*.f64 (fma.f64 x x (*.f64 z (+.f64 z x))) (/.f64 1 (-.f64 (pow.f64 x 3) (pow.f64 z 3)))) |
(/.f64 1 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) (fma.f64 x x (*.f64 z (+.f64 z x))))) |
(*.f64 (/.f64 1 (-.f64 (*.f64 x x) (*.f64 (neg.f64 z) (neg.f64 z)))) (-.f64 x (neg.f64 z))) |
(/.f64 (*.f64 1 (-.f64 x (neg.f64 z))) (-.f64 (*.f64 x x) (*.f64 z z))) |
(*.f64 (-.f64 x (neg.f64 z)) (/.f64 (/.f64 1 (-.f64 x z)) (+.f64 z x))) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 z) 3))) (+.f64 (*.f64 x x) (-.f64 (*.f64 (neg.f64 z) (neg.f64 z)) (*.f64 x (neg.f64 z))))) |
(/.f64 (*.f64 1 (fma.f64 x x (*.f64 (neg.f64 z) (-.f64 (neg.f64 z) x)))) (-.f64 (pow.f64 x 3) (pow.f64 z 3))) |
(/.f64 1 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) (fma.f64 x x (*.f64 (neg.f64 z) (-.f64 (neg.f64 z) x))))) |
(*.f64 (/.f64 (pow.f64 (-.f64 x z) -1/2) (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)))) (sqrt.f64 (fma.f64 x x (*.f64 z (+.f64 x z))))) |
(*.f64 (sqrt.f64 (fma.f64 x x (*.f64 z (+.f64 z x)))) (/.f64 (pow.f64 (-.f64 x z) -1/2) (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3))))) |
(/.f64 (*.f64 (pow.f64 (-.f64 x z) -1/2) (sqrt.f64 (fma.f64 x x (*.f64 z (+.f64 z x))))) (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)))) |
(*.f64 (/.f64 (pow.f64 (-.f64 x z) -1/2) (sqrt.f64 (-.f64 (*.f64 x x) (*.f64 z z)))) (sqrt.f64 (+.f64 x z))) |
(*.f64 (sqrt.f64 (+.f64 z x)) (/.f64 (pow.f64 (-.f64 x z) -1/2) (sqrt.f64 (-.f64 (*.f64 x x) (*.f64 z z))))) |
(/.f64 (pow.f64 (-.f64 x z) -1/2) (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) (*.f64 z z))) (sqrt.f64 (+.f64 z x)))) |
(*.f64 (/.f64 -1 (neg.f64 (-.f64 (*.f64 x x) (*.f64 z z)))) (+.f64 x z)) |
(*.f64 (+.f64 z x) (/.f64 1 (-.f64 (*.f64 x x) (*.f64 z z)))) |
(*.f64 (+.f64 z x) (/.f64 (/.f64 1 (-.f64 x z)) (+.f64 z x))) |
(*.f64 (/.f64 -1 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)))) (fma.f64 x x (*.f64 z (+.f64 x z)))) |
(*.f64 (fma.f64 x x (*.f64 z (+.f64 z x))) (/.f64 1 (-.f64 (pow.f64 x 3) (pow.f64 z 3)))) |
(/.f64 1 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) (fma.f64 x x (*.f64 z (+.f64 z x))))) |
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 x z)) 2)) (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)))) (cbrt.f64 (fma.f64 x x (*.f64 z (+.f64 x z))))) |
(*.f64 (cbrt.f64 (fma.f64 x x (*.f64 z (+.f64 z x)))) (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 x z)) 2)) (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3))))) |
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 x z)) 2)) (/.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3))) (cbrt.f64 (fma.f64 x x (*.f64 z (+.f64 z x)))))) |
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 x z)) 2)) (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 z z)))) (cbrt.f64 (+.f64 x z))) |
(*.f64 (cbrt.f64 (+.f64 z x)) (/.f64 1 (*.f64 (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 z z))) (pow.f64 (cbrt.f64 (-.f64 x z)) 2)))) |
(/.f64 (*.f64 1 (cbrt.f64 (+.f64 z x))) (*.f64 (pow.f64 (cbrt.f64 (-.f64 x z)) 2) (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 z z))))) |
(pow.f64 (-.f64 x z) -1) |
(/.f64 1 (-.f64 x z)) |
(pow.f64 (/.f64 1 (-.f64 x z)) 1) |
(/.f64 1 (-.f64 x z)) |
(pow.f64 (pow.f64 (-.f64 x z) -1/2) 2) |
(/.f64 1 (-.f64 x z)) |
(pow.f64 (cbrt.f64 (/.f64 1 (-.f64 x z))) 3) |
(/.f64 1 (-.f64 x z)) |
(pow.f64 (pow.f64 (/.f64 1 (-.f64 x z)) 3) 1/3) |
(/.f64 1 (-.f64 x z)) |
(sqrt.f64 (pow.f64 (-.f64 x z) -2)) |
(log.f64 (exp.f64 (/.f64 1 (-.f64 x z)))) |
(/.f64 1 (-.f64 x z)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 x z))))) |
(/.f64 1 (-.f64 x z)) |
(cbrt.f64 (pow.f64 (/.f64 1 (-.f64 x z)) 3)) |
(/.f64 1 (-.f64 x z)) |
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 x z)))) |
(/.f64 1 (-.f64 x z)) |
(exp.f64 (neg.f64 (log.f64 (-.f64 x z)))) |
(/.f64 1 (-.f64 x z)) |
(exp.f64 (*.f64 (log.f64 (-.f64 x z)) -1)) |
(/.f64 1 (-.f64 x z)) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 x z))) 1)) |
(/.f64 1 (-.f64 x z)) |
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 x z)))) |
(/.f64 1 (-.f64 x z)) |
Compiled 17363 to 8368 computations (51.8% saved)
12 alts after pruning (3 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 744 | 2 | 746 |
| Fresh | 1 | 1 | 2 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 9 | 10 |
| Total | 747 | 12 | 759 |
| Status | Error | Program |
|---|---|---|
| ✓ | 22.7b | (fma.f64 3 x (*.f64 2 y)) |
| ✓ | 19.4b | (fma.f64 3 x z) |
| ▶ | 41.3b | (/.f64 1 (/.f64 1/3 x)) |
| ✓ | 19.4b | (+.f64 (*.f64 3 x) z) |
| ✓ | 22.7b | (+.f64 (*.f64 2 (+.f64 y x)) x) |
| ✓ | 23.0b | (+.f64 (*.f64 2 y) z) |
| ✓ | 19.4b | (+.f64 (*.f64 2 x) (+.f64 z x)) |
| ✓ | 0.0b | (+.f64 x (+.f64 (*.f64 2 (+.f64 x y)) z)) |
| ▶ | 53.2b | (*.f64 (/.f64 1 (-.f64 x z)) (*.f64 3 (*.f64 x x))) |
| ✓ | 41.2b | (*.f64 3 x) |
| ✓ | 44.6b | (*.f64 2 y) |
| 41.4b | z |
Compiled 102 to 76 computations (25.5% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (/.f64 1 (-.f64 x z)) | |
| ✓ | 0.2b | (*.f64 3 (*.f64 x x)) |
| ✓ | 17.7b | (*.f64 (/.f64 1 (-.f64 x z)) (*.f64 3 (*.f64 x x))) |
Compiled 34 to 16 computations (52.9% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (*.f64 (/.f64 1 (-.f64 x z)) (*.f64 3 (*.f64 x x))) |
| 0.0ms | x | @ | 0 | (*.f64 3 (*.f64 x x)) |
| 0.0ms | z | @ | inf | (*.f64 (/.f64 1 (-.f64 x z)) (*.f64 3 (*.f64 x x))) |
| 0.0ms | x | @ | inf | (*.f64 (/.f64 1 (-.f64 x z)) (*.f64 3 (*.f64 x x))) |
| 0.0ms | x | @ | inf | (*.f64 3 (*.f64 x x)) |
| 1× | batch-egg-rewrite |
| 1102× | *-commutative |
| 1094× | associate-*r/ |
| 874× | associate-/l* |
| 780× | associate-/r* |
| 760× | associate-*l/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 38 |
| 1 | 234 | 38 |
| 2 | 3057 | 38 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 1 (-.f64 x z)) (*.f64 3 (*.f64 x x))) |
(*.f64 3 (*.f64 x x)) |
| Outputs |
|---|
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(#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 x 3) (/.f64 x (-.f64 x z))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 9 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 3)))))))) |
| 1× | egg-herbie |
| 1738× | associate-/l* |
| 870× | times-frac |
| 734× | associate-*l* |
| 624× | associate-/l/ |
| 618× | associate-*r* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 462 | 7841 |
| 1 | 1335 | 7735 |
| 2 | 7656 | 7723 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -3 (/.f64 (pow.f64 x 2) z)) |
(+.f64 (*.f64 -3 (/.f64 (pow.f64 x 2) z)) (*.f64 -3 (/.f64 (pow.f64 x 3) (pow.f64 z 2)))) |
(+.f64 (*.f64 -3 (/.f64 (pow.f64 x 4) (pow.f64 z 3))) (+.f64 (*.f64 -3 (/.f64 (pow.f64 x 2) z)) (*.f64 -3 (/.f64 (pow.f64 x 3) (pow.f64 z 2))))) |
(+.f64 (*.f64 -3 (/.f64 (pow.f64 x 4) (pow.f64 z 3))) (+.f64 (*.f64 -3 (/.f64 (pow.f64 x 2) z)) (+.f64 (*.f64 -3 (/.f64 (pow.f64 x 3) (pow.f64 z 2))) (*.f64 -3 (/.f64 (pow.f64 x 5) (pow.f64 z 4)))))) |
(*.f64 3 x) |
(+.f64 (*.f64 3 x) (*.f64 3 z)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 3 z) (*.f64 3 (/.f64 (pow.f64 z 2) x)))) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 3 z) (+.f64 (*.f64 3 (/.f64 (pow.f64 z 3) (pow.f64 x 2))) (*.f64 3 (/.f64 (pow.f64 z 2) x))))) |
(*.f64 3 x) |
(+.f64 (*.f64 3 x) (*.f64 3 z)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 3 z) (*.f64 3 (/.f64 (pow.f64 z 2) x)))) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 3 z) (+.f64 (*.f64 3 (/.f64 (pow.f64 z 3) (pow.f64 x 2))) (*.f64 3 (/.f64 (pow.f64 z 2) x))))) |
(*.f64 3 x) |
(+.f64 (*.f64 3 x) (*.f64 3 z)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 3 z) (*.f64 3 (/.f64 (pow.f64 z 2) x)))) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 3 z) (+.f64 (*.f64 3 (/.f64 (pow.f64 z 3) (pow.f64 x 2))) (*.f64 3 (/.f64 (pow.f64 z 2) x))))) |
(*.f64 -3 (/.f64 (pow.f64 x 2) z)) |
(+.f64 (*.f64 -3 (/.f64 (pow.f64 x 2) z)) (*.f64 -3 (/.f64 (pow.f64 x 3) (pow.f64 z 2)))) |
(+.f64 (*.f64 -3 (/.f64 (pow.f64 x 4) (pow.f64 z 3))) (+.f64 (*.f64 -3 (/.f64 (pow.f64 x 2) z)) (*.f64 -3 (/.f64 (pow.f64 x 3) (pow.f64 z 2))))) |
(+.f64 (*.f64 -3 (/.f64 (pow.f64 x 4) (pow.f64 z 3))) (+.f64 (*.f64 -3 (/.f64 (pow.f64 x 2) z)) (+.f64 (*.f64 -3 (/.f64 (pow.f64 x 3) (pow.f64 z 2))) (*.f64 -3 (/.f64 (pow.f64 x 5) (pow.f64 z 4)))))) |
(*.f64 -3 (/.f64 (pow.f64 x 2) z)) |
(+.f64 (*.f64 -3 (/.f64 (pow.f64 x 2) z)) (*.f64 -3 (/.f64 (pow.f64 x 3) (pow.f64 z 2)))) |
(+.f64 (*.f64 -3 (/.f64 (pow.f64 x 4) (pow.f64 z 3))) (+.f64 (*.f64 -3 (/.f64 (pow.f64 x 2) z)) (*.f64 -3 (/.f64 (pow.f64 x 3) (pow.f64 z 2))))) |
(+.f64 (*.f64 -3 (/.f64 (pow.f64 x 4) (pow.f64 z 3))) (+.f64 (*.f64 -3 (/.f64 (pow.f64 x 2) z)) (+.f64 (*.f64 -3 (/.f64 (pow.f64 x 3) (pow.f64 z 2))) (*.f64 -3 (/.f64 (pow.f64 x 5) (pow.f64 z 4)))))) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
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(+.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x 3)) (-.f64 (*.f64 x x) (*.f64 z z))) z) (*.f64 (/.f64 (*.f64 x (*.f64 x 3)) (-.f64 (*.f64 x x) (*.f64 z z))) x)) |
(+.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x 3)) (-.f64 (pow.f64 x 3) (pow.f64 z 3))) (*.f64 x x)) (*.f64 (/.f64 (*.f64 x (*.f64 x 3)) (-.f64 (pow.f64 x 3) (pow.f64 z 3))) (*.f64 z (+.f64 x z)))) |
(+.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x 3)) (-.f64 (pow.f64 x 3) (pow.f64 z 3))) (*.f64 z (+.f64 x z))) (*.f64 (/.f64 (*.f64 x (*.f64 x 3)) (-.f64 (pow.f64 x 3) (pow.f64 z 3))) (*.f64 x x))) |
(+.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x 3)) (-.f64 (pow.f64 x 3) (pow.f64 z 3))) (+.f64 (*.f64 x x) (*.f64 z z))) (*.f64 (/.f64 (*.f64 x (*.f64 x 3)) (-.f64 (pow.f64 x 3) (pow.f64 z 3))) (*.f64 x z))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 x 3) (/.f64 x (-.f64 x z))))) 1) |
(/.f64 1 (/.f64 (/.f64 (-.f64 x z) (*.f64 x 3)) x)) |
(/.f64 x (/.f64 (-.f64 x z) (*.f64 x 3))) |
(/.f64 x (/.f64 (/.f64 (-.f64 x z) 3) x)) |
(/.f64 x (/.f64 (/.f64 (-.f64 x z) (*.f64 x (sqrt.f64 3))) (sqrt.f64 3))) |
(/.f64 x (/.f64 (/.f64 (-.f64 x z) x) 3)) |
(/.f64 3 (/.f64 (-.f64 x z) (*.f64 x x))) |
(/.f64 (*.f64 x x) (/.f64 (-.f64 x z) 3)) |
(/.f64 (*.f64 x x) (/.f64 (/.f64 (-.f64 x z) 3) 1)) |
(/.f64 (*.f64 x (*.f64 x 3)) (-.f64 x z)) |
(/.f64 (*.f64 x (*.f64 x 3)) (neg.f64 (neg.f64 (-.f64 x z)))) |
(/.f64 (*.f64 (*.f64 x 3) (/.f64 x (-.f64 x z))) 1) |
(/.f64 (sqrt.f64 3) (/.f64 (/.f64 (-.f64 x z) (*.f64 x (sqrt.f64 3))) x)) |
(/.f64 (*.f64 x (sqrt.f64 3)) (/.f64 (-.f64 x z) (*.f64 x (sqrt.f64 3)))) |
(/.f64 (sqrt.f64 x) (/.f64 (/.f64 (-.f64 x z) 3) (*.f64 x (sqrt.f64 x)))) |
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (/.f64 (-.f64 x z) 3) (cbrt.f64 (pow.f64 x 4)))) |
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (/.f64 (-.f64 x z) 3) (*.f64 x (cbrt.f64 x)))) |
(/.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (/.f64 (-.f64 x z) 3) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (-.f64 x z) (*.f64 3 (pow.f64 (cbrt.f64 x) 2)))) |
(/.f64 (cbrt.f64 (*.f64 x (*.f64 x 3))) (/.f64 (-.f64 x z) (cbrt.f64 (*.f64 9 (pow.f64 x 4))))) |
(/.f64 (cbrt.f64 (*.f64 x (*.f64 x 3))) (/.f64 (/.f64 (-.f64 x z) (*.f64 x (sqrt.f64 3))) (cbrt.f64 (*.f64 x (sqrt.f64 3))))) |
(/.f64 (cbrt.f64 (*.f64 x (*.f64 x 3))) (/.f64 (/.f64 (-.f64 x z) (cbrt.f64 (*.f64 x (*.f64 x 3)))) (cbrt.f64 (*.f64 x (*.f64 x 3))))) |
(/.f64 (cbrt.f64 (*.f64 9 (pow.f64 x 4))) (/.f64 (-.f64 x z) (cbrt.f64 (*.f64 x (*.f64 x 3))))) |
(/.f64 (*.f64 x 3) (/.f64 (-.f64 x z) x)) |
(/.f64 -1 (/.f64 (neg.f64 (-.f64 x z)) (*.f64 x (*.f64 x 3)))) |
(/.f64 (sqrt.f64 (*.f64 x 3)) (/.f64 (/.f64 (-.f64 x z) (*.f64 x (sqrt.f64 3))) (sqrt.f64 x))) |
(/.f64 (sqrt.f64 (*.f64 x 3)) (/.f64 (/.f64 (-.f64 x z) x) (sqrt.f64 (*.f64 x 3)))) |
(/.f64 (sqrt.f64 (*.f64 x (sqrt.f64 3))) (/.f64 (/.f64 (-.f64 x z) (*.f64 x (sqrt.f64 3))) (sqrt.f64 (*.f64 x (sqrt.f64 3))))) |
(/.f64 (sqrt.f64 (cbrt.f64 (*.f64 9 (pow.f64 x 4)))) (/.f64 (/.f64 (-.f64 x z) (*.f64 x (sqrt.f64 3))) (sqrt.f64 (cbrt.f64 (*.f64 x (*.f64 x 3)))))) |
(/.f64 (sqrt.f64 (cbrt.f64 (*.f64 9 (pow.f64 x 4)))) (/.f64 (/.f64 (-.f64 x z) (cbrt.f64 (*.f64 x (*.f64 x 3)))) (sqrt.f64 (cbrt.f64 (*.f64 9 (pow.f64 x 4)))))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 x 3)) (cbrt.f64 (*.f64 x 3))) (/.f64 (/.f64 (-.f64 x z) x) (cbrt.f64 (*.f64 x 3)))) |
(/.f64 (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 9 (pow.f64 x 4)))) (cbrt.f64 (cbrt.f64 (*.f64 9 (pow.f64 x 4))))) (/.f64 (/.f64 (-.f64 x z) (cbrt.f64 (*.f64 x (*.f64 x 3)))) (cbrt.f64 (cbrt.f64 (*.f64 9 (pow.f64 x 4)))))) |
(/.f64 (*.f64 x (sqrt.f64 x)) (/.f64 (/.f64 (-.f64 x z) 3) (sqrt.f64 x))) |
(/.f64 (*.f64 3 (sqrt.f64 x)) (/.f64 (/.f64 (-.f64 x z) x) (sqrt.f64 x))) |
(/.f64 (*.f64 3 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 (-.f64 x z) x) (cbrt.f64 x))) |
(/.f64 (*.f64 (*.f64 x (*.f64 x 3)) (cbrt.f64 (pow.f64 (-.f64 x z) -2))) (cbrt.f64 (-.f64 x z))) |
(/.f64 (*.f64 3 (cbrt.f64 (pow.f64 x 4))) (/.f64 (-.f64 x z) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (*.f64 (sqrt.f64 x) (*.f64 x 3)) (/.f64 (-.f64 x z) (sqrt.f64 x))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x 3)) (/.f64 (-.f64 x z) (cbrt.f64 x))) |
(/.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 (-.f64 x z) 3) (cbrt.f64 x))) |
(/.f64 (*.f64 (*.f64 x (*.f64 x 3)) -1) (neg.f64 (-.f64 x z))) |
(/.f64 (/.f64 (*.f64 x x) 1/3) (-.f64 x z)) |
(/.f64 (/.f64 x (/.f64 (sqrt.f64 (-.f64 x z)) (*.f64 x 3))) (sqrt.f64 (-.f64 x z))) |
(/.f64 (/.f64 3 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x z)) 2) (*.f64 x x))) (cbrt.f64 (-.f64 x z))) |
(/.f64 (/.f64 (*.f64 x (*.f64 x 3)) (-.f64 (*.f64 x x) (*.f64 z z))) (/.f64 1 (+.f64 x z))) |
(/.f64 (/.f64 (*.f64 x (*.f64 x 3)) (-.f64 (pow.f64 x 3) (pow.f64 z 3))) (/.f64 1 (fma.f64 x x (*.f64 z (+.f64 x z))))) |
(/.f64 (/.f64 (*.f64 x 3) (/.f64 (cbrt.f64 (-.f64 x z)) x)) (pow.f64 (cbrt.f64 (-.f64 x z)) 2)) |
(/.f64 (neg.f64 (*.f64 x (*.f64 x 3))) (neg.f64 (-.f64 x z))) |
(/.f64 (*.f64 1 (*.f64 (*.f64 x (*.f64 x 3)) -1)) (neg.f64 (-.f64 x z))) |
(/.f64 (*.f64 1 (/.f64 (*.f64 x x) 1/3)) (-.f64 x z)) |
(/.f64 (*.f64 1 (/.f64 x (/.f64 (sqrt.f64 (-.f64 x z)) (*.f64 x 3)))) (sqrt.f64 (-.f64 x z))) |
(/.f64 (*.f64 1 (/.f64 3 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x z)) 2) (*.f64 x x)))) (cbrt.f64 (-.f64 x z))) |
(/.f64 (*.f64 1 (neg.f64 (*.f64 x (*.f64 x 3)))) (neg.f64 (-.f64 x z))) |
(/.f64 (*.f64 (*.f64 x x) -3) (neg.f64 (-.f64 x z))) |
(/.f64 (*.f64 (*.f64 x (sqrt.f64 (/.f64 3 (-.f64 x z)))) (*.f64 x (sqrt.f64 3))) (sqrt.f64 (-.f64 x z))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 x 3) (/.f64 x (-.f64 x z)))) 2) (cbrt.f64 (*.f64 x (*.f64 x 3)))) (cbrt.f64 (-.f64 x z))) |
(/.f64 (*.f64 (/.f64 x (/.f64 (sqrt.f64 (-.f64 x z)) (*.f64 x 3))) 1) (sqrt.f64 (-.f64 x z))) |
(/.f64 (*.f64 (/.f64 x (/.f64 (sqrt.f64 (-.f64 x z)) (*.f64 x 3))) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (-.f64 x z)))) |
(/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x 3)) (cbrt.f64 (pow.f64 (-.f64 x z) -2))) 1) (cbrt.f64 (-.f64 x z))) |
(/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x 3)) (cbrt.f64 (pow.f64 (-.f64 x z) -2))) -1) (cbrt.f64 (neg.f64 (-.f64 x z)))) |
(/.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x 3)) (-.f64 (*.f64 x x) (*.f64 z z))) (-.f64 (*.f64 x x) (*.f64 z z))) (-.f64 x z)) |
(/.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x 3)) (-.f64 (*.f64 x x) (*.f64 z z))) (+.f64 (pow.f64 x 3) (pow.f64 z 3))) (+.f64 (*.f64 x x) (-.f64 (*.f64 z z) (*.f64 x z)))) |
(/.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x 3)) (-.f64 (pow.f64 x 3) (pow.f64 z 3))) (-.f64 (pow.f64 x 4) (*.f64 (*.f64 z (+.f64 x z)) (*.f64 z (+.f64 x z))))) (-.f64 (*.f64 x x) (*.f64 z (+.f64 x z)))) |
(/.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x 3)) (-.f64 (pow.f64 x 3) (pow.f64 z 3))) (+.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 z (+.f64 x z)) 3))) (-.f64 (+.f64 (pow.f64 x 4) (*.f64 (*.f64 z (+.f64 x z)) (*.f64 z (+.f64 x z)))) (*.f64 (*.f64 x x) (*.f64 z (+.f64 x z))))) |
(/.f64 (*.f64 (/.f64 3 (sqrt.f64 (-.f64 x z))) (*.f64 x x)) (sqrt.f64 (-.f64 x z))) |
(/.f64 (*.f64 (/.f64 x (/.f64 (sqrt.f64 (-.f64 x z)) x)) 3) (sqrt.f64 (-.f64 x z))) |
(/.f64 (*.f64 (/.f64 3 (pow.f64 (cbrt.f64 (-.f64 x z)) 2)) (*.f64 x x)) (cbrt.f64 (-.f64 x z))) |
(/.f64 (*.f64 (/.f64 x (/.f64 1 x)) 3) (-.f64 x z)) |
(/.f64 (*.f64 (/.f64 x (/.f64 1 x)) -3) (neg.f64 (-.f64 x z))) |
(/.f64 (*.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (-.f64 x z)) 2) x)) 3) (cbrt.f64 (-.f64 x z))) |
(/.f64 (*.f64 (/.f64 x (/.f64 1 (sqrt.f64 3))) (*.f64 x (sqrt.f64 3))) (-.f64 x z)) |
(/.f64 (*.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (-.f64 x z)) 2) (sqrt.f64 3))) (*.f64 x (sqrt.f64 3))) (cbrt.f64 (-.f64 x z))) |
(/.f64 (*.f64 (/.f64 (cbrt.f64 (*.f64 9 (pow.f64 x 4))) 1) (cbrt.f64 (*.f64 x (*.f64 x 3)))) (-.f64 x z)) |
(/.f64 (*.f64 (/.f64 (cbrt.f64 (*.f64 9 (pow.f64 x 4))) (sqrt.f64 (-.f64 x z))) (cbrt.f64 (*.f64 x (*.f64 x 3)))) (sqrt.f64 (-.f64 x z))) |
(/.f64 (*.f64 (/.f64 (cbrt.f64 (*.f64 9 (pow.f64 x 4))) (pow.f64 (cbrt.f64 (-.f64 x z)) 2)) (cbrt.f64 (*.f64 x (*.f64 x 3)))) (cbrt.f64 (-.f64 x z))) |
(/.f64 (*.f64 (/.f64 x 1/3) x) (-.f64 x z)) |
(/.f64 (*.f64 (/.f64 3 (/.f64 (sqrt.f64 (-.f64 x z)) x)) x) (sqrt.f64 (-.f64 x z))) |
(/.f64 (*.f64 (/.f64 3 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x z)) 2) x)) x) (cbrt.f64 (-.f64 x z))) |
(/.f64 (*.f64 (*.f64 x (sqrt.f64 3)) (*.f64 x (sqrt.f64 (/.f64 3 (-.f64 x z))))) (sqrt.f64 (-.f64 x z))) |
(/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x 3)) -1) 1) (neg.f64 (-.f64 x z))) |
(/.f64 (*.f64 (/.f64 (*.f64 x x) 1/3) 1) (-.f64 x z)) |
(/.f64 (*.f64 (/.f64 3 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x z)) 2) (*.f64 x x))) 1) (cbrt.f64 (-.f64 x z))) |
(/.f64 (*.f64 (neg.f64 (*.f64 x (*.f64 x 3))) 1) (neg.f64 (-.f64 x z))) |
(/.f64 (*.f64 (sqrt.f64 -1) (/.f64 x (/.f64 (sqrt.f64 (-.f64 x z)) (*.f64 x 3)))) (sqrt.f64 (neg.f64 (-.f64 x z)))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 x (*.f64 x 3))) (pow.f64 (cbrt.f64 (*.f64 (*.f64 x 3) (/.f64 x (-.f64 x z)))) 2)) (cbrt.f64 (-.f64 x z))) |
(/.f64 (*.f64 -3 (*.f64 x x)) (neg.f64 (-.f64 x z))) |
(/.f64 (*.f64 1 (/.f64 (*.f64 x 3) (/.f64 (cbrt.f64 (-.f64 x z)) x))) (pow.f64 (cbrt.f64 (-.f64 x z)) 2)) |
(/.f64 (*.f64 (*.f64 x (*.f64 x 3)) (+.f64 x z)) (-.f64 (*.f64 x x) (*.f64 z z))) |
(/.f64 (*.f64 (*.f64 x (*.f64 x 3)) (fma.f64 x x (*.f64 z (+.f64 x z)))) (-.f64 (pow.f64 x 3) (pow.f64 z 3))) |
(/.f64 (*.f64 3 (/.f64 x (/.f64 (sqrt.f64 (-.f64 x z)) x))) (sqrt.f64 (-.f64 x z))) |
(/.f64 (*.f64 (*.f64 x x) (/.f64 3 (sqrt.f64 (-.f64 x z)))) (sqrt.f64 (-.f64 x z))) |
(/.f64 (*.f64 3 (/.f64 x (/.f64 (cbrt.f64 (-.f64 x z)) x))) (pow.f64 (cbrt.f64 (-.f64 x z)) 2)) |
(/.f64 (*.f64 (*.f64 x x) (/.f64 3 (cbrt.f64 (-.f64 x z)))) (pow.f64 (cbrt.f64 (-.f64 x z)) 2)) |
(/.f64 (*.f64 (*.f64 x (sqrt.f64 3)) (/.f64 (sqrt.f64 3) (/.f64 (cbrt.f64 (-.f64 x z)) x))) (pow.f64 (cbrt.f64 (-.f64 x z)) 2)) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 9 (pow.f64 x 4))) (/.f64 (cbrt.f64 (*.f64 x (*.f64 x 3))) (sqrt.f64 (-.f64 x z)))) (sqrt.f64 (-.f64 x z))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 9 (pow.f64 x 4))) (cbrt.f64 (*.f64 (*.f64 x 3) (/.f64 x (-.f64 x z))))) (pow.f64 (cbrt.f64 (-.f64 x z)) 2)) |
(/.f64 (*.f64 (*.f64 x 3) (/.f64 x (sqrt.f64 (-.f64 x z)))) (sqrt.f64 (-.f64 x z))) |
(/.f64 (*.f64 (*.f64 x 3) (/.f64 x (cbrt.f64 (-.f64 x z)))) (pow.f64 (cbrt.f64 (-.f64 x z)) 2)) |
(/.f64 (/.f64 (*.f64 x (*.f64 x 3)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 z))) |
(/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x 3)) -1) 1) (neg.f64 (-.f64 x z))) |
(/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x 3)) -1) (sqrt.f64 (-.f64 x z))) (neg.f64 (sqrt.f64 (-.f64 x z)))) |
(/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x 3)) -1) (pow.f64 (cbrt.f64 (-.f64 x z)) 2)) (neg.f64 (cbrt.f64 (-.f64 x z)))) |
(/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x 3)) -1) -1) (-.f64 x z)) |
(/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x 3)) -1) (sqrt.f64 (neg.f64 (-.f64 x z)))) (sqrt.f64 (neg.f64 (-.f64 x z)))) |
(/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x 3)) -1) (*.f64 (cbrt.f64 (neg.f64 (-.f64 x z))) (cbrt.f64 (neg.f64 (-.f64 x z))))) (cbrt.f64 (neg.f64 (-.f64 x z)))) |
(/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x 3)) -1) (neg.f64 (sqrt.f64 (-.f64 x z)))) (sqrt.f64 (-.f64 x z))) |
(/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x 3)) -1) (neg.f64 (pow.f64 (cbrt.f64 (-.f64 x z)) 2))) (cbrt.f64 (-.f64 x z))) |
(/.f64 (/.f64 (/.f64 (*.f64 x x) 1/3) 1) (-.f64 x z)) |
(/.f64 (/.f64 (/.f64 (*.f64 x x) 1/3) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 z))) |
(/.f64 (/.f64 (/.f64 x (/.f64 (sqrt.f64 (-.f64 x z)) (*.f64 x 3))) 1) (sqrt.f64 (-.f64 x z))) |
(/.f64 (/.f64 (/.f64 x (/.f64 (sqrt.f64 (-.f64 x z)) (*.f64 x 3))) (cbrt.f64 (-.f64 x z))) (cbrt.f64 (sqrt.f64 (-.f64 x z)))) |
(/.f64 (/.f64 (/.f64 x (/.f64 (sqrt.f64 (-.f64 x z)) (*.f64 x 3))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 x z)) 2))) (sqrt.f64 (cbrt.f64 (-.f64 x z)))) |
(/.f64 (/.f64 (/.f64 x (/.f64 (sqrt.f64 (-.f64 x z)) (*.f64 x 3))) (sqrt.f64 (sqrt.f64 (-.f64 x z)))) (sqrt.f64 (sqrt.f64 (-.f64 x z)))) |
(/.f64 (/.f64 (/.f64 3 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x z)) 2) (*.f64 x x))) 1) (cbrt.f64 (-.f64 x z))) |
(/.f64 (/.f64 (/.f64 3 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x z)) 2) (*.f64 x x))) (sqrt.f64 (cbrt.f64 (-.f64 x z)))) (sqrt.f64 (cbrt.f64 (-.f64 x z)))) |
(/.f64 (/.f64 (/.f64 3 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x z)) 2) (*.f64 x x))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 x z)) 2))) (cbrt.f64 (cbrt.f64 (-.f64 x z)))) |
(/.f64 (/.f64 (/.f64 3 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x z)) 2) (*.f64 x x))) (cbrt.f64 (sqrt.f64 (-.f64 x z)))) (cbrt.f64 (sqrt.f64 (-.f64 x z)))) |
(/.f64 (/.f64 (/.f64 3 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x z)) 2) (*.f64 x x))) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 x z))) (cbrt.f64 (cbrt.f64 (-.f64 x z))))) (cbrt.f64 (cbrt.f64 (-.f64 x z)))) |
(/.f64 (/.f64 (neg.f64 (*.f64 x (*.f64 x 3))) 1) (neg.f64 (-.f64 x z))) |
(/.f64 (/.f64 (neg.f64 (*.f64 x (*.f64 x 3))) (sqrt.f64 (-.f64 x z))) (neg.f64 (sqrt.f64 (-.f64 x z)))) |
(/.f64 (/.f64 (neg.f64 (*.f64 x (*.f64 x 3))) (pow.f64 (cbrt.f64 (-.f64 x z)) 2)) (neg.f64 (cbrt.f64 (-.f64 x z)))) |
(/.f64 (/.f64 (neg.f64 (*.f64 x (*.f64 x 3))) -1) (-.f64 x z)) |
(/.f64 (/.f64 (neg.f64 (*.f64 x (*.f64 x 3))) (sqrt.f64 (neg.f64 (-.f64 x z)))) (sqrt.f64 (neg.f64 (-.f64 x z)))) |
(/.f64 (/.f64 (neg.f64 (*.f64 x (*.f64 x 3))) (*.f64 (cbrt.f64 (neg.f64 (-.f64 x z))) (cbrt.f64 (neg.f64 (-.f64 x z))))) (cbrt.f64 (neg.f64 (-.f64 x z)))) |
(/.f64 (/.f64 (neg.f64 (*.f64 x (*.f64 x 3))) (neg.f64 (sqrt.f64 (-.f64 x z)))) (sqrt.f64 (-.f64 x z))) |
(/.f64 (/.f64 (neg.f64 (*.f64 x (*.f64 x 3))) (neg.f64 (pow.f64 (cbrt.f64 (-.f64 x z)) 2))) (cbrt.f64 (-.f64 x z))) |
(pow.f64 (*.f64 (*.f64 x 3) (/.f64 x (-.f64 x z))) 1) |
(pow.f64 (*.f64 x (sqrt.f64 (/.f64 3 (-.f64 x z)))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (*.f64 x 3) (/.f64 x (-.f64 x z)))) 3) |
(pow.f64 (pow.f64 (*.f64 (*.f64 x 3) (/.f64 x (-.f64 x z))) 3) 1/3) |
(sqrt.f64 (*.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 (-.f64 x z) -2))) |
(log.f64 (pow.f64 (exp.f64 (/.f64 3 (-.f64 x z))) (*.f64 x x))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 x 3) (/.f64 x (-.f64 x z)))))) |
(cbrt.f64 (pow.f64 (*.f64 (*.f64 x 3) (/.f64 x (-.f64 x z))) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x (*.f64 x 3)) 3) (/.f64 1 (pow.f64 (-.f64 x z) 3)))) |
(expm1.f64 (log1p.f64 (*.f64 (*.f64 x 3) (/.f64 x (-.f64 x z))))) |
(exp.f64 (log.f64 (*.f64 (*.f64 x 3) (/.f64 x (-.f64 x z))))) |
(log1p.f64 (expm1.f64 (*.f64 (*.f64 x 3) (/.f64 x (-.f64 x z))))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x 3)))) 1) |
(pow.f64 (*.f64 x (*.f64 x 3)) 1) |
(pow.f64 (*.f64 x (sqrt.f64 3)) 2) |
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 3))) 3) |
(pow.f64 (pow.f64 (*.f64 x (*.f64 x 3)) 3) 1/3) |
(sqrt.f64 (*.f64 9 (pow.f64 x 4))) |
(log.f64 (pow.f64 (exp.f64 3) (*.f64 x x))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x 3))))) |
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 x 3)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 3)))) |
(exp.f64 (log.f64 (*.f64 x (*.f64 x 3)))) |
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 3)))) |
| Outputs |
|---|
(*.f64 -3 (/.f64 (pow.f64 x 2) z)) |
(*.f64 -3 (/.f64 (*.f64 x x) z)) |
(/.f64 (*.f64 x x) (/.f64 z -3)) |
(+.f64 (*.f64 -3 (/.f64 (pow.f64 x 2) z)) (*.f64 -3 (/.f64 (pow.f64 x 3) (pow.f64 z 2)))) |
(*.f64 -3 (+.f64 (/.f64 (*.f64 x x) z) (/.f64 (pow.f64 x 3) (*.f64 z z)))) |
(*.f64 -3 (+.f64 (/.f64 x (/.f64 z x)) (/.f64 (pow.f64 x 3) (*.f64 z z)))) |
(+.f64 (*.f64 -3 (/.f64 (pow.f64 x 4) (pow.f64 z 3))) (+.f64 (*.f64 -3 (/.f64 (pow.f64 x 2) z)) (*.f64 -3 (/.f64 (pow.f64 x 3) (pow.f64 z 2))))) |
(fma.f64 -3 (/.f64 (pow.f64 x 4) (pow.f64 z 3)) (*.f64 -3 (+.f64 (/.f64 (*.f64 x x) z) (/.f64 (pow.f64 x 3) (*.f64 z z))))) |
(*.f64 -3 (+.f64 (+.f64 (/.f64 x (/.f64 z x)) (/.f64 (pow.f64 x 3) (*.f64 z z))) (/.f64 (pow.f64 x 4) (pow.f64 z 3)))) |
(*.f64 -3 (+.f64 (/.f64 x (/.f64 z x)) (+.f64 (/.f64 (pow.f64 x 3) (*.f64 z z)) (/.f64 (pow.f64 x 4) (pow.f64 z 3))))) |
(+.f64 (*.f64 -3 (/.f64 (pow.f64 x 4) (pow.f64 z 3))) (+.f64 (*.f64 -3 (/.f64 (pow.f64 x 2) z)) (+.f64 (*.f64 -3 (/.f64 (pow.f64 x 3) (pow.f64 z 2))) (*.f64 -3 (/.f64 (pow.f64 x 5) (pow.f64 z 4)))))) |
(fma.f64 -3 (/.f64 (pow.f64 x 4) (pow.f64 z 3)) (fma.f64 -3 (/.f64 (*.f64 x x) z) (*.f64 -3 (+.f64 (/.f64 (pow.f64 x 3) (*.f64 z z)) (/.f64 (pow.f64 x 5) (pow.f64 z 4)))))) |
(fma.f64 -3 (/.f64 (pow.f64 x 4) (pow.f64 z 3)) (*.f64 -3 (+.f64 (/.f64 x (/.f64 z x)) (+.f64 (/.f64 (pow.f64 x 3) (*.f64 z z)) (/.f64 (pow.f64 x 5) (pow.f64 z 4)))))) |
(*.f64 3 x) |
(*.f64 x 3) |
(+.f64 (*.f64 3 x) (*.f64 3 z)) |
(*.f64 3 (+.f64 x z)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 3 z) (*.f64 3 (/.f64 (pow.f64 z 2) x)))) |
(fma.f64 3 x (*.f64 3 (+.f64 z (/.f64 (*.f64 z z) x)))) |
(*.f64 3 (+.f64 (+.f64 z (/.f64 z (/.f64 x z))) x)) |
(*.f64 3 (+.f64 x (+.f64 z (/.f64 z (/.f64 x z))))) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 3 z) (+.f64 (*.f64 3 (/.f64 (pow.f64 z 3) (pow.f64 x 2))) (*.f64 3 (/.f64 (pow.f64 z 2) x))))) |
(fma.f64 3 x (fma.f64 3 z (*.f64 3 (+.f64 (/.f64 (pow.f64 z 3) (*.f64 x x)) (/.f64 (*.f64 z z) x))))) |
(*.f64 3 (+.f64 (+.f64 x z) (+.f64 (/.f64 z (/.f64 x z)) (/.f64 (pow.f64 z 3) (*.f64 x x))))) |
(*.f64 3 x) |
(*.f64 x 3) |
(+.f64 (*.f64 3 x) (*.f64 3 z)) |
(*.f64 3 (+.f64 x z)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 3 z) (*.f64 3 (/.f64 (pow.f64 z 2) x)))) |
(fma.f64 3 x (*.f64 3 (+.f64 z (/.f64 (*.f64 z z) x)))) |
(*.f64 3 (+.f64 (+.f64 z (/.f64 z (/.f64 x z))) x)) |
(*.f64 3 (+.f64 x (+.f64 z (/.f64 z (/.f64 x z))))) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 3 z) (+.f64 (*.f64 3 (/.f64 (pow.f64 z 3) (pow.f64 x 2))) (*.f64 3 (/.f64 (pow.f64 z 2) x))))) |
(fma.f64 3 x (fma.f64 3 z (*.f64 3 (+.f64 (/.f64 (pow.f64 z 3) (*.f64 x x)) (/.f64 (*.f64 z z) x))))) |
(*.f64 3 (+.f64 (+.f64 x z) (+.f64 (/.f64 z (/.f64 x z)) (/.f64 (pow.f64 z 3) (*.f64 x x))))) |
(*.f64 3 x) |
(*.f64 x 3) |
(+.f64 (*.f64 3 x) (*.f64 3 z)) |
(*.f64 3 (+.f64 x z)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 3 z) (*.f64 3 (/.f64 (pow.f64 z 2) x)))) |
(fma.f64 3 x (*.f64 3 (+.f64 z (/.f64 (*.f64 z z) x)))) |
(*.f64 3 (+.f64 (+.f64 z (/.f64 z (/.f64 x z))) x)) |
(*.f64 3 (+.f64 x (+.f64 z (/.f64 z (/.f64 x z))))) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 3 z) (+.f64 (*.f64 3 (/.f64 (pow.f64 z 3) (pow.f64 x 2))) (*.f64 3 (/.f64 (pow.f64 z 2) x))))) |
(fma.f64 3 x (fma.f64 3 z (*.f64 3 (+.f64 (/.f64 (pow.f64 z 3) (*.f64 x x)) (/.f64 (*.f64 z z) x))))) |
(*.f64 3 (+.f64 (+.f64 x z) (+.f64 (/.f64 z (/.f64 x z)) (/.f64 (pow.f64 z 3) (*.f64 x x))))) |
(*.f64 -3 (/.f64 (pow.f64 x 2) z)) |
(*.f64 -3 (/.f64 (*.f64 x x) z)) |
(/.f64 (*.f64 x x) (/.f64 z -3)) |
(+.f64 (*.f64 -3 (/.f64 (pow.f64 x 2) z)) (*.f64 -3 (/.f64 (pow.f64 x 3) (pow.f64 z 2)))) |
(*.f64 -3 (+.f64 (/.f64 (*.f64 x x) z) (/.f64 (pow.f64 x 3) (*.f64 z z)))) |
(*.f64 -3 (+.f64 (/.f64 x (/.f64 z x)) (/.f64 (pow.f64 x 3) (*.f64 z z)))) |
(+.f64 (*.f64 -3 (/.f64 (pow.f64 x 4) (pow.f64 z 3))) (+.f64 (*.f64 -3 (/.f64 (pow.f64 x 2) z)) (*.f64 -3 (/.f64 (pow.f64 x 3) (pow.f64 z 2))))) |
(fma.f64 -3 (/.f64 (pow.f64 x 4) (pow.f64 z 3)) (*.f64 -3 (+.f64 (/.f64 (*.f64 x x) z) (/.f64 (pow.f64 x 3) (*.f64 z z))))) |
(*.f64 -3 (+.f64 (+.f64 (/.f64 x (/.f64 z x)) (/.f64 (pow.f64 x 3) (*.f64 z z))) (/.f64 (pow.f64 x 4) (pow.f64 z 3)))) |
(*.f64 -3 (+.f64 (/.f64 x (/.f64 z x)) (+.f64 (/.f64 (pow.f64 x 3) (*.f64 z z)) (/.f64 (pow.f64 x 4) (pow.f64 z 3))))) |
(+.f64 (*.f64 -3 (/.f64 (pow.f64 x 4) (pow.f64 z 3))) (+.f64 (*.f64 -3 (/.f64 (pow.f64 x 2) z)) (+.f64 (*.f64 -3 (/.f64 (pow.f64 x 3) (pow.f64 z 2))) (*.f64 -3 (/.f64 (pow.f64 x 5) (pow.f64 z 4)))))) |
(fma.f64 -3 (/.f64 (pow.f64 x 4) (pow.f64 z 3)) (fma.f64 -3 (/.f64 (*.f64 x x) z) (*.f64 -3 (+.f64 (/.f64 (pow.f64 x 3) (*.f64 z z)) (/.f64 (pow.f64 x 5) (pow.f64 z 4)))))) |
(fma.f64 -3 (/.f64 (pow.f64 x 4) (pow.f64 z 3)) (*.f64 -3 (+.f64 (/.f64 x (/.f64 z x)) (+.f64 (/.f64 (pow.f64 x 3) (*.f64 z z)) (/.f64 (pow.f64 x 5) (pow.f64 z 4)))))) |
(*.f64 -3 (/.f64 (pow.f64 x 2) z)) |
(*.f64 -3 (/.f64 (*.f64 x x) z)) |
(/.f64 (*.f64 x x) (/.f64 z -3)) |
(+.f64 (*.f64 -3 (/.f64 (pow.f64 x 2) z)) (*.f64 -3 (/.f64 (pow.f64 x 3) (pow.f64 z 2)))) |
(*.f64 -3 (+.f64 (/.f64 (*.f64 x x) z) (/.f64 (pow.f64 x 3) (*.f64 z z)))) |
(*.f64 -3 (+.f64 (/.f64 x (/.f64 z x)) (/.f64 (pow.f64 x 3) (*.f64 z z)))) |
(+.f64 (*.f64 -3 (/.f64 (pow.f64 x 4) (pow.f64 z 3))) (+.f64 (*.f64 -3 (/.f64 (pow.f64 x 2) z)) (*.f64 -3 (/.f64 (pow.f64 x 3) (pow.f64 z 2))))) |
(fma.f64 -3 (/.f64 (pow.f64 x 4) (pow.f64 z 3)) (*.f64 -3 (+.f64 (/.f64 (*.f64 x x) z) (/.f64 (pow.f64 x 3) (*.f64 z z))))) |
(*.f64 -3 (+.f64 (+.f64 (/.f64 x (/.f64 z x)) (/.f64 (pow.f64 x 3) (*.f64 z z))) (/.f64 (pow.f64 x 4) (pow.f64 z 3)))) |
(*.f64 -3 (+.f64 (/.f64 x (/.f64 z x)) (+.f64 (/.f64 (pow.f64 x 3) (*.f64 z z)) (/.f64 (pow.f64 x 4) (pow.f64 z 3))))) |
(+.f64 (*.f64 -3 (/.f64 (pow.f64 x 4) (pow.f64 z 3))) (+.f64 (*.f64 -3 (/.f64 (pow.f64 x 2) z)) (+.f64 (*.f64 -3 (/.f64 (pow.f64 x 3) (pow.f64 z 2))) (*.f64 -3 (/.f64 (pow.f64 x 5) (pow.f64 z 4)))))) |
(fma.f64 -3 (/.f64 (pow.f64 x 4) (pow.f64 z 3)) (fma.f64 -3 (/.f64 (*.f64 x x) z) (*.f64 -3 (+.f64 (/.f64 (pow.f64 x 3) (*.f64 z z)) (/.f64 (pow.f64 x 5) (pow.f64 z 4)))))) |
(fma.f64 -3 (/.f64 (pow.f64 x 4) (pow.f64 z 3)) (*.f64 -3 (+.f64 (/.f64 x (/.f64 z x)) (+.f64 (/.f64 (pow.f64 x 3) (*.f64 z z)) (/.f64 (pow.f64 x 5) (pow.f64 z 4)))))) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 x (*.f64 x 3)) |
(*.f64 x (/.f64 x 1/3)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 x (*.f64 x 3)) |
(*.f64 x (/.f64 x 1/3)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 x (*.f64 x 3)) |
(*.f64 x (/.f64 x 1/3)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 x (*.f64 x 3)) |
(*.f64 x (/.f64 x 1/3)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 x (*.f64 x 3)) |
(*.f64 x (/.f64 x 1/3)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 x (*.f64 x 3)) |
(*.f64 x (/.f64 x 1/3)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 x (*.f64 x 3)) |
(*.f64 x (/.f64 x 1/3)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 x (*.f64 x 3)) |
(*.f64 x (/.f64 x 1/3)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 x (*.f64 x 3)) |
(*.f64 x (/.f64 x 1/3)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 x (*.f64 x 3)) |
(*.f64 x (/.f64 x 1/3)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 x (*.f64 x 3)) |
(*.f64 x (/.f64 x 1/3)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 x (*.f64 x 3)) |
(*.f64 x (/.f64 x 1/3)) |
(+.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x 3)) (-.f64 (*.f64 x x) (*.f64 z z))) x) (*.f64 (/.f64 (*.f64 x (*.f64 x 3)) (-.f64 (*.f64 x x) (*.f64 z z))) z)) |
(*.f64 (/.f64 (*.f64 x (*.f64 x 3)) (-.f64 (*.f64 x x) (*.f64 z z))) (+.f64 x z)) |
(*.f64 (/.f64 (/.f64 (*.f64 x (/.f64 x 1/3)) (+.f64 x z)) (-.f64 x z)) (+.f64 x z)) |
(*.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 x z)) (/.f64 -3 (-.f64 z x))) (+.f64 x z)) |
(+.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x 3)) (-.f64 (*.f64 x x) (*.f64 z z))) z) (*.f64 (/.f64 (*.f64 x (*.f64 x 3)) (-.f64 (*.f64 x x) (*.f64 z z))) x)) |
(*.f64 (/.f64 (*.f64 x (*.f64 x 3)) (-.f64 (*.f64 x x) (*.f64 z z))) (+.f64 x z)) |
(*.f64 (/.f64 (/.f64 (*.f64 x (/.f64 x 1/3)) (+.f64 x z)) (-.f64 x z)) (+.f64 x z)) |
(*.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 x z)) (/.f64 -3 (-.f64 z x))) (+.f64 x z)) |
(+.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x 3)) (-.f64 (pow.f64 x 3) (pow.f64 z 3))) (*.f64 x x)) (*.f64 (/.f64 (*.f64 x (*.f64 x 3)) (-.f64 (pow.f64 x 3) (pow.f64 z 3))) (*.f64 z (+.f64 x z)))) |
(*.f64 (/.f64 x (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) (*.f64 x 3))) (fma.f64 x x (*.f64 z (+.f64 x z)))) |
(*.f64 (*.f64 (/.f64 x (-.f64 (pow.f64 x 3) (pow.f64 z 3))) (*.f64 x 3)) (fma.f64 z (+.f64 x z) (*.f64 x x))) |
(+.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x 3)) (-.f64 (pow.f64 x 3) (pow.f64 z 3))) (*.f64 z (+.f64 x z))) (*.f64 (/.f64 (*.f64 x (*.f64 x 3)) (-.f64 (pow.f64 x 3) (pow.f64 z 3))) (*.f64 x x))) |
(*.f64 (/.f64 x (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) (*.f64 x 3))) (fma.f64 x x (*.f64 z (+.f64 x z)))) |
(*.f64 (*.f64 (/.f64 x (-.f64 (pow.f64 x 3) (pow.f64 z 3))) (*.f64 x 3)) (fma.f64 z (+.f64 x z) (*.f64 x x))) |
(+.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x 3)) (-.f64 (pow.f64 x 3) (pow.f64 z 3))) (+.f64 (*.f64 x x) (*.f64 z z))) (*.f64 (/.f64 (*.f64 x (*.f64 x 3)) (-.f64 (pow.f64 x 3) (pow.f64 z 3))) (*.f64 x z))) |
(*.f64 (/.f64 x (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) (*.f64 x 3))) (fma.f64 x x (*.f64 z (+.f64 x z)))) |
(*.f64 (*.f64 (/.f64 x (-.f64 (pow.f64 x 3) (pow.f64 z 3))) (*.f64 x 3)) (fma.f64 z (+.f64 x z) (*.f64 x x))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 x 3) (/.f64 x (-.f64 x z))))) 1) |
(*.f64 (/.f64 (*.f64 x 3) (-.f64 x z)) x) |
(/.f64 (*.f64 x (/.f64 x 1/3)) (-.f64 x z)) |
(*.f64 -3 (/.f64 (*.f64 x x) (-.f64 z x))) |
(/.f64 1 (/.f64 (/.f64 (-.f64 x z) (*.f64 x 3)) x)) |
(*.f64 (/.f64 (*.f64 x 3) (-.f64 x z)) x) |
(/.f64 (*.f64 x (/.f64 x 1/3)) (-.f64 x z)) |
(*.f64 -3 (/.f64 (*.f64 x x) (-.f64 z x))) |
(/.f64 x (/.f64 (-.f64 x z) (*.f64 x 3))) |
(*.f64 (/.f64 (*.f64 x 3) (-.f64 x z)) x) |
(/.f64 (*.f64 x (/.f64 x 1/3)) (-.f64 x z)) |
(*.f64 -3 (/.f64 (*.f64 x x) (-.f64 z x))) |
(/.f64 x (/.f64 (/.f64 (-.f64 x z) 3) x)) |
(*.f64 (/.f64 (*.f64 x 3) (-.f64 x z)) x) |
(/.f64 (*.f64 x (/.f64 x 1/3)) (-.f64 x z)) |
(*.f64 -3 (/.f64 (*.f64 x x) (-.f64 z x))) |
(/.f64 x (/.f64 (/.f64 (-.f64 x z) (*.f64 x (sqrt.f64 3))) (sqrt.f64 3))) |
(*.f64 (/.f64 x (/.f64 (/.f64 (-.f64 x z) x) (sqrt.f64 3))) (sqrt.f64 3)) |
(/.f64 (pow.f64 (*.f64 x (sqrt.f64 3)) 2) (-.f64 x z)) |
(/.f64 x (/.f64 (/.f64 (-.f64 x z) x) 3)) |
(*.f64 (/.f64 (*.f64 x 3) (-.f64 x z)) x) |
(/.f64 (*.f64 x (/.f64 x 1/3)) (-.f64 x z)) |
(*.f64 -3 (/.f64 (*.f64 x x) (-.f64 z x))) |
(/.f64 3 (/.f64 (-.f64 x z) (*.f64 x x))) |
(*.f64 (/.f64 (*.f64 x 3) (-.f64 x z)) x) |
(/.f64 (*.f64 x (/.f64 x 1/3)) (-.f64 x z)) |
(*.f64 -3 (/.f64 (*.f64 x x) (-.f64 z x))) |
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(/.f64 (cbrt.f64 (*.f64 x (*.f64 x 3))) (/.f64 (cbrt.f64 (-.f64 x z)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (*.f64 x 3) (-.f64 x z)) x)) 2))) |
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(/.f64 (*.f64 (/.f64 x (/.f64 (sqrt.f64 (-.f64 x z)) (*.f64 x 3))) 1) (sqrt.f64 (-.f64 x z))) |
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(/.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x 3)) (-.f64 (*.f64 x x) (*.f64 z z))) (+.f64 (pow.f64 x 3) (pow.f64 z 3))) (fma.f64 x x (*.f64 z (-.f64 z x)))) |
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(/.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 x z)) (/.f64 -3 (-.f64 z x))) (/.f64 (fma.f64 z (-.f64 z x) (*.f64 x x)) (+.f64 (pow.f64 x 3) (pow.f64 z 3)))) |
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(/.f64 (*.f64 (/.f64 x (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) (*.f64 x 3))) (-.f64 (pow.f64 x 4) (*.f64 (*.f64 z (+.f64 x z)) (*.f64 z (+.f64 x z))))) (-.f64 (*.f64 x x) (*.f64 z (+.f64 x z)))) |
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(/.f64 (*.f64 (/.f64 3 (sqrt.f64 (-.f64 x z))) (*.f64 x x)) (sqrt.f64 (-.f64 x z))) |
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(/.f64 (*.f64 (/.f64 x (/.f64 (sqrt.f64 (-.f64 x z)) x)) 3) (sqrt.f64 (-.f64 x z))) |
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(/.f64 (*.f64 (/.f64 3 (pow.f64 (cbrt.f64 (-.f64 x z)) 2)) (*.f64 x x)) (cbrt.f64 (-.f64 x z))) |
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(/.f64 (*.f64 (/.f64 x (/.f64 1 x)) 3) (-.f64 x z)) |
(*.f64 (/.f64 (*.f64 x 3) (-.f64 x z)) x) |
(/.f64 (*.f64 x (/.f64 x 1/3)) (-.f64 x z)) |
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(*.f64 (/.f64 (*.f64 x 3) (-.f64 x z)) x) |
(/.f64 (*.f64 x (/.f64 x 1/3)) (-.f64 x z)) |
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(/.f64 (*.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (-.f64 x z)) 2) x)) 3) (cbrt.f64 (-.f64 x z))) |
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(*.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (-.f64 x z)) 2)) (/.f64 3 (cbrt.f64 (-.f64 x z)))) |
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(*.f64 (/.f64 x (/.f64 (/.f64 (-.f64 x z) x) (sqrt.f64 3))) (sqrt.f64 3)) |
(/.f64 (pow.f64 (*.f64 x (sqrt.f64 3)) 2) (-.f64 x z)) |
(/.f64 (*.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (-.f64 x z)) 2) (sqrt.f64 3))) (*.f64 x (sqrt.f64 3))) (cbrt.f64 (-.f64 x z))) |
(/.f64 (*.f64 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 x z)) 2)) (sqrt.f64 3)) (/.f64 (cbrt.f64 (-.f64 x z)) (*.f64 x (sqrt.f64 3)))) |
(/.f64 x (*.f64 (/.f64 (/.f64 (cbrt.f64 (-.f64 x z)) (sqrt.f64 3)) x) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x z)) 2) (sqrt.f64 3)))) |
(/.f64 (*.f64 (/.f64 (cbrt.f64 (*.f64 9 (pow.f64 x 4))) 1) (cbrt.f64 (*.f64 x (*.f64 x 3)))) (-.f64 x z)) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 x (*.f64 x 3))) (-.f64 x z)) (cbrt.f64 (*.f64 (pow.f64 x 4) 9))) |
(*.f64 (cbrt.f64 (*.f64 x (/.f64 x 1/3))) (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 9)) (-.f64 x z))) |
(/.f64 (*.f64 (/.f64 (cbrt.f64 (*.f64 9 (pow.f64 x 4))) (sqrt.f64 (-.f64 x z))) (cbrt.f64 (*.f64 x (*.f64 x 3)))) (sqrt.f64 (-.f64 x z))) |
(/.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 9)) (sqrt.f64 (-.f64 x z))) (/.f64 (sqrt.f64 (-.f64 x z)) (cbrt.f64 (*.f64 x (*.f64 x 3))))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 9)) (sqrt.f64 (-.f64 x z))) (/.f64 (cbrt.f64 (*.f64 x (/.f64 x 1/3))) (sqrt.f64 (-.f64 x z)))) |
(/.f64 (*.f64 (/.f64 (cbrt.f64 (*.f64 9 (pow.f64 x 4))) (pow.f64 (cbrt.f64 (-.f64 x z)) 2)) (cbrt.f64 (*.f64 x (*.f64 x 3)))) (cbrt.f64 (-.f64 x z))) |
(/.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 9)) (pow.f64 (cbrt.f64 (-.f64 x z)) 2)) (/.f64 (cbrt.f64 (-.f64 x z)) (cbrt.f64 (*.f64 x (*.f64 x 3))))) |
(*.f64 (/.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 9)) (pow.f64 (cbrt.f64 (-.f64 x z)) 2)) (cbrt.f64 (-.f64 x z))) (cbrt.f64 (*.f64 x (/.f64 x 1/3)))) |
(/.f64 (*.f64 (/.f64 x 1/3) x) (-.f64 x z)) |
(*.f64 (/.f64 (*.f64 x 3) (-.f64 x z)) x) |
(/.f64 (*.f64 x (/.f64 x 1/3)) (-.f64 x z)) |
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(/.f64 (*.f64 (/.f64 3 (/.f64 (sqrt.f64 (-.f64 x z)) x)) x) (sqrt.f64 (-.f64 x z))) |
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(*.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (-.f64 x z)) 2)) (/.f64 3 (cbrt.f64 (-.f64 x z)))) |
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(/.f64 (*.f64 x (/.f64 x 1/3)) (-.f64 x z)) |
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(/.f64 (*.f64 (/.f64 (*.f64 x x) 1/3) 1) (-.f64 x z)) |
(*.f64 (/.f64 (*.f64 x 3) (-.f64 x z)) x) |
(/.f64 (*.f64 x (/.f64 x 1/3)) (-.f64 x z)) |
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(/.f64 (*.f64 (/.f64 3 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x z)) 2) (*.f64 x x))) 1) (cbrt.f64 (-.f64 x z))) |
(/.f64 3 (*.f64 (cbrt.f64 (-.f64 x z)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x z)) 2) (*.f64 x x)))) |
(*.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (-.f64 x z)) 2)) (/.f64 3 (cbrt.f64 (-.f64 x z)))) |
(/.f64 (*.f64 (neg.f64 (*.f64 x (*.f64 x 3))) 1) (neg.f64 (-.f64 x z))) |
(*.f64 (/.f64 (*.f64 x 3) (-.f64 x z)) x) |
(/.f64 (*.f64 x (/.f64 x 1/3)) (-.f64 x z)) |
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(*.f64 (/.f64 (/.f64 3 (/.f64 (sqrt.f64 (-.f64 x z)) (*.f64 x x))) (sqrt.f64 (-.f64 z x))) (sqrt.f64 -1)) |
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(/.f64 (cbrt.f64 (*.f64 x (*.f64 x 3))) (/.f64 (cbrt.f64 (-.f64 x z)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (*.f64 x 3) (-.f64 x z)) x)) 2))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 x (/.f64 x 1/3))) (cbrt.f64 (-.f64 x z))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 x (/.f64 x 1/3)) (-.f64 x z))) 2)) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 x (/.f64 x 1/3))) (cbrt.f64 (-.f64 x z))) (pow.f64 (cbrt.f64 (*.f64 -3 (/.f64 (*.f64 x x) (-.f64 z x)))) 2)) |
(/.f64 (*.f64 -3 (*.f64 x x)) (neg.f64 (-.f64 x z))) |
(*.f64 (/.f64 (*.f64 x 3) (-.f64 x z)) x) |
(/.f64 (*.f64 x (/.f64 x 1/3)) (-.f64 x z)) |
(*.f64 -3 (/.f64 (*.f64 x x) (-.f64 z x))) |
(/.f64 (*.f64 1 (/.f64 (*.f64 x 3) (/.f64 (cbrt.f64 (-.f64 x z)) x))) (pow.f64 (cbrt.f64 (-.f64 x z)) 2)) |
(/.f64 3 (*.f64 (cbrt.f64 (-.f64 x z)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x z)) 2) (*.f64 x x)))) |
(*.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (-.f64 x z)) 2)) (/.f64 3 (cbrt.f64 (-.f64 x z)))) |
(/.f64 (*.f64 (*.f64 x (*.f64 x 3)) (+.f64 x z)) (-.f64 (*.f64 x x) (*.f64 z z))) |
(*.f64 (/.f64 (*.f64 x (*.f64 x 3)) (-.f64 (*.f64 x x) (*.f64 z z))) (+.f64 x z)) |
(*.f64 (/.f64 (/.f64 (*.f64 x (/.f64 x 1/3)) (+.f64 x z)) (-.f64 x z)) (+.f64 x z)) |
(*.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 x z)) (/.f64 -3 (-.f64 z x))) (+.f64 x z)) |
(/.f64 (*.f64 (*.f64 x (*.f64 x 3)) (fma.f64 x x (*.f64 z (+.f64 x z)))) (-.f64 (pow.f64 x 3) (pow.f64 z 3))) |
(*.f64 (/.f64 x (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) (*.f64 x 3))) (fma.f64 x x (*.f64 z (+.f64 x z)))) |
(*.f64 (*.f64 (/.f64 x (-.f64 (pow.f64 x 3) (pow.f64 z 3))) (*.f64 x 3)) (fma.f64 z (+.f64 x z) (*.f64 x x))) |
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(*.f64 (/.f64 3 (sqrt.f64 (-.f64 x z))) (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 x z)))) |
(/.f64 (*.f64 (*.f64 x x) (/.f64 3 (sqrt.f64 (-.f64 x z)))) (sqrt.f64 (-.f64 x z))) |
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(*.f64 (/.f64 3 (sqrt.f64 (-.f64 x z))) (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 x z)))) |
(/.f64 (*.f64 3 (/.f64 x (/.f64 (cbrt.f64 (-.f64 x z)) x))) (pow.f64 (cbrt.f64 (-.f64 x z)) 2)) |
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(*.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (-.f64 x z)) 2)) (/.f64 3 (cbrt.f64 (-.f64 x z)))) |
(/.f64 (*.f64 (*.f64 x x) (/.f64 3 (cbrt.f64 (-.f64 x z)))) (pow.f64 (cbrt.f64 (-.f64 x z)) 2)) |
(/.f64 3 (*.f64 (cbrt.f64 (-.f64 x z)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x z)) 2) (*.f64 x x)))) |
(*.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (-.f64 x z)) 2)) (/.f64 3 (cbrt.f64 (-.f64 x z)))) |
(/.f64 (*.f64 (*.f64 x (sqrt.f64 3)) (/.f64 (sqrt.f64 3) (/.f64 (cbrt.f64 (-.f64 x z)) x))) (pow.f64 (cbrt.f64 (-.f64 x z)) 2)) |
(/.f64 (*.f64 x (sqrt.f64 3)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x z)) 2) (/.f64 (sqrt.f64 3) (/.f64 (cbrt.f64 (-.f64 x z)) x)))) |
(*.f64 (*.f64 (sqrt.f64 3) (/.f64 x (pow.f64 (cbrt.f64 (-.f64 x z)) 2))) (*.f64 x (/.f64 (sqrt.f64 3) (cbrt.f64 (-.f64 x z))))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 9 (pow.f64 x 4))) (/.f64 (cbrt.f64 (*.f64 x (*.f64 x 3))) (sqrt.f64 (-.f64 x z)))) (sqrt.f64 (-.f64 x z))) |
(/.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 9)) (sqrt.f64 (-.f64 x z))) (/.f64 (sqrt.f64 (-.f64 x z)) (cbrt.f64 (*.f64 x (*.f64 x 3))))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 9)) (sqrt.f64 (-.f64 x z))) (/.f64 (cbrt.f64 (*.f64 x (/.f64 x 1/3))) (sqrt.f64 (-.f64 x z)))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 9 (pow.f64 x 4))) (cbrt.f64 (*.f64 (*.f64 x 3) (/.f64 x (-.f64 x z))))) (pow.f64 (cbrt.f64 (-.f64 x z)) 2)) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 9)) (cbrt.f64 (*.f64 (/.f64 (*.f64 x 3) (-.f64 x z)) x))) (pow.f64 (cbrt.f64 (-.f64 x z)) 2)) |
(/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 9)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x z)) 2) (cbrt.f64 (/.f64 (*.f64 x (/.f64 x 1/3)) (-.f64 x z))))) |
(/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 9)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x z)) 2) (cbrt.f64 (*.f64 -3 (/.f64 (*.f64 x x) (-.f64 z x)))))) |
(/.f64 (*.f64 (*.f64 x 3) (/.f64 x (sqrt.f64 (-.f64 x z)))) (sqrt.f64 (-.f64 x z))) |
(/.f64 x (*.f64 (sqrt.f64 (-.f64 x z)) (/.f64 (sqrt.f64 (-.f64 x z)) (*.f64 x 3)))) |
(*.f64 (/.f64 3 (sqrt.f64 (-.f64 x z))) (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 x z)))) |
(/.f64 (*.f64 (*.f64 x 3) (/.f64 x (cbrt.f64 (-.f64 x z)))) (pow.f64 (cbrt.f64 (-.f64 x z)) 2)) |
(/.f64 3 (*.f64 (cbrt.f64 (-.f64 x z)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x z)) 2) (*.f64 x x)))) |
(*.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (-.f64 x z)) 2)) (/.f64 3 (cbrt.f64 (-.f64 x z)))) |
(/.f64 (/.f64 (*.f64 x (*.f64 x 3)) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 z))) |
(/.f64 (/.f64 x (/.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (*.f64 x 3))) (-.f64 (sqrt.f64 x) (sqrt.f64 z))) |
(*.f64 (/.f64 x (-.f64 (sqrt.f64 x) (sqrt.f64 z))) (/.f64 (/.f64 x 1/3) (+.f64 (sqrt.f64 x) (sqrt.f64 z)))) |
(/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x 3)) -1) 1) (neg.f64 (-.f64 x z))) |
(*.f64 (/.f64 (*.f64 x 3) (-.f64 x z)) x) |
(/.f64 (*.f64 x (/.f64 x 1/3)) (-.f64 x z)) |
(*.f64 -3 (/.f64 (*.f64 x x) (-.f64 z x))) |
(/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x 3)) -1) (sqrt.f64 (-.f64 x z))) (neg.f64 (sqrt.f64 (-.f64 x z)))) |
(/.f64 x (*.f64 (sqrt.f64 (-.f64 x z)) (/.f64 (sqrt.f64 (-.f64 x z)) (*.f64 x 3)))) |
(*.f64 (/.f64 3 (sqrt.f64 (-.f64 x z))) (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 x z)))) |
(/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x 3)) -1) (pow.f64 (cbrt.f64 (-.f64 x z)) 2)) (neg.f64 (cbrt.f64 (-.f64 x z)))) |
(/.f64 3 (*.f64 (cbrt.f64 (-.f64 x z)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x z)) 2) (*.f64 x x)))) |
(*.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (-.f64 x z)) 2)) (/.f64 3 (cbrt.f64 (-.f64 x z)))) |
(/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x 3)) -1) -1) (-.f64 x z)) |
(*.f64 (/.f64 (*.f64 x 3) (-.f64 x z)) x) |
(/.f64 (*.f64 x (/.f64 x 1/3)) (-.f64 x z)) |
(*.f64 -3 (/.f64 (*.f64 x x) (-.f64 z x))) |
(/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x 3)) -1) (sqrt.f64 (neg.f64 (-.f64 x z)))) (sqrt.f64 (neg.f64 (-.f64 x z)))) |
(*.f64 (/.f64 (*.f64 x 3) (-.f64 x z)) x) |
(/.f64 (*.f64 x (/.f64 x 1/3)) (-.f64 x z)) |
(*.f64 -3 (/.f64 (*.f64 x x) (-.f64 z x))) |
(/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x 3)) -1) (*.f64 (cbrt.f64 (neg.f64 (-.f64 x z))) (cbrt.f64 (neg.f64 (-.f64 x z))))) (cbrt.f64 (neg.f64 (-.f64 x z)))) |
(*.f64 (/.f64 (*.f64 x 3) (-.f64 x z)) x) |
(/.f64 (*.f64 x (/.f64 x 1/3)) (-.f64 x z)) |
(*.f64 -3 (/.f64 (*.f64 x x) (-.f64 z x))) |
(/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x 3)) -1) (neg.f64 (sqrt.f64 (-.f64 x z)))) (sqrt.f64 (-.f64 x z))) |
(/.f64 x (*.f64 (sqrt.f64 (-.f64 x z)) (/.f64 (sqrt.f64 (-.f64 x z)) (*.f64 x 3)))) |
(*.f64 (/.f64 3 (sqrt.f64 (-.f64 x z))) (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 x z)))) |
(/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x 3)) -1) (neg.f64 (pow.f64 (cbrt.f64 (-.f64 x z)) 2))) (cbrt.f64 (-.f64 x z))) |
(/.f64 3 (*.f64 (cbrt.f64 (-.f64 x z)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x z)) 2) (*.f64 x x)))) |
(*.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (-.f64 x z)) 2)) (/.f64 3 (cbrt.f64 (-.f64 x z)))) |
(/.f64 (/.f64 (/.f64 (*.f64 x x) 1/3) 1) (-.f64 x z)) |
(*.f64 (/.f64 (*.f64 x 3) (-.f64 x z)) x) |
(/.f64 (*.f64 x (/.f64 x 1/3)) (-.f64 x z)) |
(*.f64 -3 (/.f64 (*.f64 x x) (-.f64 z x))) |
(/.f64 (/.f64 (/.f64 (*.f64 x x) 1/3) (+.f64 (sqrt.f64 z) (sqrt.f64 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 z))) |
(/.f64 (/.f64 x (/.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 z)) (*.f64 x 3))) (-.f64 (sqrt.f64 x) (sqrt.f64 z))) |
(*.f64 (/.f64 x (-.f64 (sqrt.f64 x) (sqrt.f64 z))) (/.f64 (/.f64 x 1/3) (+.f64 (sqrt.f64 x) (sqrt.f64 z)))) |
(/.f64 (/.f64 (/.f64 x (/.f64 (sqrt.f64 (-.f64 x z)) (*.f64 x 3))) 1) (sqrt.f64 (-.f64 x z))) |
(/.f64 x (*.f64 (sqrt.f64 (-.f64 x z)) (/.f64 (sqrt.f64 (-.f64 x z)) (*.f64 x 3)))) |
(*.f64 (/.f64 3 (sqrt.f64 (-.f64 x z))) (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 x z)))) |
(/.f64 (/.f64 (/.f64 x (/.f64 (sqrt.f64 (-.f64 x z)) (*.f64 x 3))) (cbrt.f64 (-.f64 x z))) (cbrt.f64 (sqrt.f64 (-.f64 x z)))) |
(/.f64 (/.f64 x (*.f64 (cbrt.f64 (-.f64 x z)) (/.f64 (sqrt.f64 (-.f64 x z)) (*.f64 x 3)))) (cbrt.f64 (sqrt.f64 (-.f64 x z)))) |
(*.f64 (/.f64 x (cbrt.f64 (sqrt.f64 (-.f64 x z)))) (/.f64 (/.f64 (*.f64 x 3) (sqrt.f64 (-.f64 x z))) (cbrt.f64 (-.f64 x z)))) |
(/.f64 (/.f64 (/.f64 x (/.f64 (sqrt.f64 (-.f64 x z)) (*.f64 x 3))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 x z)) 2))) (sqrt.f64 (cbrt.f64 (-.f64 x z)))) |
(/.f64 (/.f64 (*.f64 x (*.f64 x 3)) (sqrt.f64 (-.f64 x z))) (*.f64 (sqrt.f64 (cbrt.f64 (-.f64 x z))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 x z)) 2)))) |
(*.f64 (/.f64 3 (sqrt.f64 (cbrt.f64 (-.f64 x z)))) (/.f64 (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 x z))) (fabs.f64 (cbrt.f64 (-.f64 x z))))) |
(/.f64 (/.f64 (/.f64 x (/.f64 (sqrt.f64 (-.f64 x z)) (*.f64 x 3))) (sqrt.f64 (sqrt.f64 (-.f64 x z)))) (sqrt.f64 (sqrt.f64 (-.f64 x z)))) |
(/.f64 x (*.f64 (sqrt.f64 (-.f64 x z)) (/.f64 (sqrt.f64 (-.f64 x z)) (*.f64 x 3)))) |
(*.f64 (/.f64 3 (sqrt.f64 (-.f64 x z))) (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 x z)))) |
(/.f64 (/.f64 (/.f64 3 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x z)) 2) (*.f64 x x))) 1) (cbrt.f64 (-.f64 x z))) |
(/.f64 3 (*.f64 (cbrt.f64 (-.f64 x z)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x z)) 2) (*.f64 x x)))) |
(*.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (-.f64 x z)) 2)) (/.f64 3 (cbrt.f64 (-.f64 x z)))) |
(/.f64 (/.f64 (/.f64 3 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x z)) 2) (*.f64 x x))) (sqrt.f64 (cbrt.f64 (-.f64 x z)))) (sqrt.f64 (cbrt.f64 (-.f64 x z)))) |
(/.f64 3 (*.f64 (cbrt.f64 (-.f64 x z)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x z)) 2) (*.f64 x x)))) |
(*.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (-.f64 x z)) 2)) (/.f64 3 (cbrt.f64 (-.f64 x z)))) |
(/.f64 (/.f64 (/.f64 3 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x z)) 2) (*.f64 x x))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 x z)) 2))) (cbrt.f64 (cbrt.f64 (-.f64 x z)))) |
(/.f64 (*.f64 3 (*.f64 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 x z)) 2)) x)) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 x z))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 x z)) 2)))) |
(*.f64 (/.f64 x (cbrt.f64 (cbrt.f64 (-.f64 x z)))) (/.f64 (/.f64 (*.f64 x 3) (pow.f64 (cbrt.f64 (-.f64 x z)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 x z)) 2)))) |
(/.f64 (/.f64 (/.f64 3 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x z)) 2) (*.f64 x x))) (cbrt.f64 (sqrt.f64 (-.f64 x z)))) (cbrt.f64 (sqrt.f64 (-.f64 x z)))) |
(/.f64 (*.f64 3 (*.f64 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 x z)) 2)) x)) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 x z))) (cbrt.f64 (sqrt.f64 (-.f64 x z))))) |
(*.f64 (/.f64 3 (cbrt.f64 (sqrt.f64 (-.f64 x z)))) (/.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (-.f64 x z)) 2)) (cbrt.f64 (sqrt.f64 (-.f64 x z))))) |
(/.f64 (/.f64 (/.f64 3 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x z)) 2) (*.f64 x x))) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 x z))) (cbrt.f64 (cbrt.f64 (-.f64 x z))))) (cbrt.f64 (cbrt.f64 (-.f64 x z)))) |
(/.f64 3 (*.f64 (cbrt.f64 (-.f64 x z)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x z)) 2) (*.f64 x x)))) |
(*.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (-.f64 x z)) 2)) (/.f64 3 (cbrt.f64 (-.f64 x z)))) |
(/.f64 (/.f64 (neg.f64 (*.f64 x (*.f64 x 3))) 1) (neg.f64 (-.f64 x z))) |
(*.f64 (/.f64 (*.f64 x 3) (-.f64 x z)) x) |
(/.f64 (*.f64 x (/.f64 x 1/3)) (-.f64 x z)) |
(*.f64 -3 (/.f64 (*.f64 x x) (-.f64 z x))) |
(/.f64 (/.f64 (neg.f64 (*.f64 x (*.f64 x 3))) (sqrt.f64 (-.f64 x z))) (neg.f64 (sqrt.f64 (-.f64 x z)))) |
(/.f64 x (*.f64 (sqrt.f64 (-.f64 x z)) (/.f64 (sqrt.f64 (-.f64 x z)) (*.f64 x 3)))) |
(*.f64 (/.f64 3 (sqrt.f64 (-.f64 x z))) (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 x z)))) |
(/.f64 (/.f64 (neg.f64 (*.f64 x (*.f64 x 3))) (pow.f64 (cbrt.f64 (-.f64 x z)) 2)) (neg.f64 (cbrt.f64 (-.f64 x z)))) |
(/.f64 3 (*.f64 (cbrt.f64 (-.f64 x z)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x z)) 2) (*.f64 x x)))) |
(*.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (-.f64 x z)) 2)) (/.f64 3 (cbrt.f64 (-.f64 x z)))) |
(/.f64 (/.f64 (neg.f64 (*.f64 x (*.f64 x 3))) -1) (-.f64 x z)) |
(*.f64 (/.f64 (*.f64 x 3) (-.f64 x z)) x) |
(/.f64 (*.f64 x (/.f64 x 1/3)) (-.f64 x z)) |
(*.f64 -3 (/.f64 (*.f64 x x) (-.f64 z x))) |
(/.f64 (/.f64 (neg.f64 (*.f64 x (*.f64 x 3))) (sqrt.f64 (neg.f64 (-.f64 x z)))) (sqrt.f64 (neg.f64 (-.f64 x z)))) |
(*.f64 (/.f64 (*.f64 x 3) (-.f64 x z)) x) |
(/.f64 (*.f64 x (/.f64 x 1/3)) (-.f64 x z)) |
(*.f64 -3 (/.f64 (*.f64 x x) (-.f64 z x))) |
(/.f64 (/.f64 (neg.f64 (*.f64 x (*.f64 x 3))) (*.f64 (cbrt.f64 (neg.f64 (-.f64 x z))) (cbrt.f64 (neg.f64 (-.f64 x z))))) (cbrt.f64 (neg.f64 (-.f64 x z)))) |
(*.f64 (/.f64 (*.f64 x 3) (-.f64 x z)) x) |
(/.f64 (*.f64 x (/.f64 x 1/3)) (-.f64 x z)) |
(*.f64 -3 (/.f64 (*.f64 x x) (-.f64 z x))) |
(/.f64 (/.f64 (neg.f64 (*.f64 x (*.f64 x 3))) (neg.f64 (sqrt.f64 (-.f64 x z)))) (sqrt.f64 (-.f64 x z))) |
(/.f64 x (*.f64 (sqrt.f64 (-.f64 x z)) (/.f64 (sqrt.f64 (-.f64 x z)) (*.f64 x 3)))) |
(*.f64 (/.f64 3 (sqrt.f64 (-.f64 x z))) (/.f64 (*.f64 x x) (sqrt.f64 (-.f64 x z)))) |
(/.f64 (/.f64 (neg.f64 (*.f64 x (*.f64 x 3))) (neg.f64 (pow.f64 (cbrt.f64 (-.f64 x z)) 2))) (cbrt.f64 (-.f64 x z))) |
(/.f64 3 (*.f64 (cbrt.f64 (-.f64 x z)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x z)) 2) (*.f64 x x)))) |
(*.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (-.f64 x z)) 2)) (/.f64 3 (cbrt.f64 (-.f64 x z)))) |
(pow.f64 (*.f64 (*.f64 x 3) (/.f64 x (-.f64 x z))) 1) |
(*.f64 (/.f64 (*.f64 x 3) (-.f64 x z)) x) |
(/.f64 (*.f64 x (/.f64 x 1/3)) (-.f64 x z)) |
(*.f64 -3 (/.f64 (*.f64 x x) (-.f64 z x))) |
(pow.f64 (*.f64 x (sqrt.f64 (/.f64 3 (-.f64 x z)))) 2) |
(pow.f64 (*.f64 x (sqrt.f64 (/.f64 -3 (-.f64 z x)))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (*.f64 x 3) (/.f64 x (-.f64 x z)))) 3) |
(*.f64 (/.f64 (*.f64 x 3) (-.f64 x z)) x) |
(/.f64 (*.f64 x (/.f64 x 1/3)) (-.f64 x z)) |
(*.f64 -3 (/.f64 (*.f64 x x) (-.f64 z x))) |
(pow.f64 (pow.f64 (*.f64 (*.f64 x 3) (/.f64 x (-.f64 x z))) 3) 1/3) |
(*.f64 (/.f64 (*.f64 x 3) (-.f64 x z)) x) |
(/.f64 (*.f64 x (/.f64 x 1/3)) (-.f64 x z)) |
(*.f64 -3 (/.f64 (*.f64 x x) (-.f64 z x))) |
(sqrt.f64 (*.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 (-.f64 x z) -2))) |
(sqrt.f64 (*.f64 (*.f64 (pow.f64 x 4) 9) (pow.f64 (-.f64 x z) -2))) |
(sqrt.f64 (*.f64 (pow.f64 x 4) (*.f64 9 (pow.f64 (-.f64 x z) -2)))) |
(log.f64 (pow.f64 (exp.f64 (/.f64 3 (-.f64 x z))) (*.f64 x x))) |
(*.f64 (/.f64 (*.f64 x 3) (-.f64 x z)) x) |
(/.f64 (*.f64 x (/.f64 x 1/3)) (-.f64 x z)) |
(*.f64 -3 (/.f64 (*.f64 x x) (-.f64 z x))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 x 3) (/.f64 x (-.f64 x z)))))) |
(*.f64 (/.f64 (*.f64 x 3) (-.f64 x z)) x) |
(/.f64 (*.f64 x (/.f64 x 1/3)) (-.f64 x z)) |
(*.f64 -3 (/.f64 (*.f64 x x) (-.f64 z x))) |
(cbrt.f64 (pow.f64 (*.f64 (*.f64 x 3) (/.f64 x (-.f64 x z))) 3)) |
(*.f64 (/.f64 (*.f64 x 3) (-.f64 x z)) x) |
(/.f64 (*.f64 x (/.f64 x 1/3)) (-.f64 x z)) |
(*.f64 -3 (/.f64 (*.f64 x x) (-.f64 z x))) |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x (*.f64 x 3)) 3) (/.f64 1 (pow.f64 (-.f64 x z) 3)))) |
(*.f64 (/.f64 (*.f64 x 3) (-.f64 x z)) x) |
(/.f64 (*.f64 x (/.f64 x 1/3)) (-.f64 x z)) |
(*.f64 -3 (/.f64 (*.f64 x x) (-.f64 z x))) |
(expm1.f64 (log1p.f64 (*.f64 (*.f64 x 3) (/.f64 x (-.f64 x z))))) |
(*.f64 (/.f64 (*.f64 x 3) (-.f64 x z)) x) |
(/.f64 (*.f64 x (/.f64 x 1/3)) (-.f64 x z)) |
(*.f64 -3 (/.f64 (*.f64 x x) (-.f64 z x))) |
(exp.f64 (log.f64 (*.f64 (*.f64 x 3) (/.f64 x (-.f64 x z))))) |
(*.f64 (/.f64 (*.f64 x 3) (-.f64 x z)) x) |
(/.f64 (*.f64 x (/.f64 x 1/3)) (-.f64 x z)) |
(*.f64 -3 (/.f64 (*.f64 x x) (-.f64 z x))) |
(log1p.f64 (expm1.f64 (*.f64 (*.f64 x 3) (/.f64 x (-.f64 x z))))) |
(*.f64 (/.f64 (*.f64 x 3) (-.f64 x z)) x) |
(/.f64 (*.f64 x (/.f64 x 1/3)) (-.f64 x z)) |
(*.f64 -3 (/.f64 (*.f64 x x) (-.f64 z x))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x 3)))) 1) |
(*.f64 x (*.f64 x 3)) |
(*.f64 x (/.f64 x 1/3)) |
(pow.f64 (*.f64 x (*.f64 x 3)) 1) |
(*.f64 x (*.f64 x 3)) |
(*.f64 x (/.f64 x 1/3)) |
(pow.f64 (*.f64 x (sqrt.f64 3)) 2) |
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 3))) 3) |
(*.f64 x (*.f64 x 3)) |
(*.f64 x (/.f64 x 1/3)) |
(pow.f64 (pow.f64 (*.f64 x (*.f64 x 3)) 3) 1/3) |
(*.f64 x (*.f64 x 3)) |
(*.f64 x (/.f64 x 1/3)) |
(sqrt.f64 (*.f64 9 (pow.f64 x 4))) |
(sqrt.f64 (*.f64 (pow.f64 x 4) 9)) |
(log.f64 (pow.f64 (exp.f64 3) (*.f64 x x))) |
(*.f64 x (*.f64 x 3)) |
(*.f64 x (/.f64 x 1/3)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x 3))))) |
(*.f64 x (*.f64 x 3)) |
(*.f64 x (/.f64 x 1/3)) |
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 x 3)) 3)) |
(*.f64 x (*.f64 x 3)) |
(*.f64 x (/.f64 x 1/3)) |
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 3)))) |
(*.f64 x (*.f64 x 3)) |
(*.f64 x (/.f64 x 1/3)) |
(exp.f64 (log.f64 (*.f64 x (*.f64 x 3)))) |
(*.f64 x (*.f64 x 3)) |
(*.f64 x (/.f64 x 1/3)) |
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 3)))) |
(*.f64 x (*.f64 x 3)) |
(*.f64 x (/.f64 x 1/3)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.3b | (/.f64 1 (/.f64 1/3 x)) |
| ✓ | 0.4b | (/.f64 1/3 x) |
Compiled 14 to 11 computations (21.4% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f64 1/3 x) |
| 0.0ms | x | @ | -inf | (/.f64 1 (/.f64 1/3 x)) |
| 0.0ms | x | @ | inf | (/.f64 1/3 x) |
| 0.0ms | x | @ | -inf | (/.f64 1/3 x) |
| 0.0ms | x | @ | inf | (/.f64 1 (/.f64 1/3 x)) |
| 1× | batch-egg-rewrite |
| 1332× | add-sqr-sqrt |
| 1300× | *-un-lft-identity |
| 1226× | add-cube-cbrt |
| 1216× | add-cbrt-cube |
| 1202× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 14 |
| 1 | 149 | 14 |
| 2 | 1727 | 14 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1/3 x) |
(/.f64 1 (/.f64 1/3 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1/3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 1/3 x)) (sqrt.f64 (/.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/3 x)) (pow.f64 (cbrt.f64 (/.f64 1/3 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 x)) 2) (cbrt.f64 (/.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/3 (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 1/3 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1/3 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1/3 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/9 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1/3 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/3 x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x 3)) (sqrt.f64 (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x 3)) (cbrt.f64 (*.f64 9 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 9 (*.f64 x x))) (cbrt.f64 (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (pow.f64 (/.f64 1 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (/.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 3 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -3 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 1/3 x)) -1) (pow.f64 (sqrt.f64 (/.f64 1/3 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 x)) 2) -1) (pow.f64 (cbrt.f64 (/.f64 1/3 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/3 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 9 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 3))))))) |
| 1× | egg-herbie |
| 1532× | distribute-lft-in |
| 1488× | distribute-rgt-in |
| 816× | *-commutative |
| 748× | unswap-sqr |
| 518× | associate-*r/ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 96 | 706 |
| 1 | 223 | 592 |
| 2 | 991 | 472 |
| 3 | 4140 | 472 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 3 x) |
(*.f64 3 x) |
(*.f64 3 x) |
(*.f64 3 x) |
(*.f64 3 x) |
(*.f64 3 x) |
(*.f64 3 x) |
(*.f64 3 x) |
(*.f64 3 x) |
(*.f64 3 x) |
(*.f64 3 x) |
(*.f64 3 x) |
(-.f64 (+.f64 1 (/.f64 1/3 x)) 1) |
(*.f64 1/3 (/.f64 1 x)) |
(*.f64 (/.f64 1/3 x) 1) |
(*.f64 1 (/.f64 1/3 x)) |
(*.f64 (sqrt.f64 (/.f64 1/3 x)) (sqrt.f64 (/.f64 1/3 x))) |
(*.f64 (cbrt.f64 (/.f64 1/3 x)) (pow.f64 (cbrt.f64 (/.f64 1/3 x)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 x)) 2) (cbrt.f64 (/.f64 1/3 x))) |
(*.f64 (/.f64 1 x) 1/3) |
(*.f64 -1/3 (/.f64 1 (neg.f64 x))) |
(pow.f64 (/.f64 1/3 x) 1) |
(pow.f64 (*.f64 x 3) -1) |
(pow.f64 (sqrt.f64 (/.f64 1/3 x)) 2) |
(pow.f64 (cbrt.f64 (/.f64 1/3 x)) 3) |
(pow.f64 (pow.f64 (/.f64 1/3 x) 3) 1/3) |
(sqrt.f64 (/.f64 1/9 (*.f64 x x))) |
(log.f64 (exp.f64 (/.f64 1/3 x))) |
(cbrt.f64 (pow.f64 (/.f64 1/3 x) 3)) |
(expm1.f64 (log1p.f64 (/.f64 1/3 x))) |
(exp.f64 (log.f64 (/.f64 1/3 x))) |
(log1p.f64 (expm1.f64 (/.f64 1/3 x))) |
(-.f64 (+.f64 1 (*.f64 x 3)) 1) |
(*.f64 x 3) |
(*.f64 1 (*.f64 x 3)) |
(*.f64 (*.f64 x 3) 1) |
(*.f64 (sqrt.f64 (*.f64 x 3)) (sqrt.f64 (*.f64 x 3))) |
(*.f64 (cbrt.f64 (*.f64 x 3)) (cbrt.f64 (*.f64 9 (*.f64 x x)))) |
(*.f64 (cbrt.f64 (*.f64 9 (*.f64 x x))) (cbrt.f64 (*.f64 x 3))) |
(*.f64 3 x) |
(*.f64 3 (pow.f64 (/.f64 1 x) -1)) |
(*.f64 -1 (/.f64 1 (/.f64 -1/3 x))) |
(*.f64 (*.f64 3 (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (*.f64 3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(*.f64 -3 (neg.f64 x)) |
(*.f64 (pow.f64 (sqrt.f64 (/.f64 1/3 x)) -1) (pow.f64 (sqrt.f64 (/.f64 1/3 x)) -1)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 x)) 2) -1) (pow.f64 (cbrt.f64 (/.f64 1/3 x)) -1)) |
(pow.f64 (/.f64 1/3 x) -1) |
(pow.f64 (*.f64 x 3) 1) |
(pow.f64 (sqrt.f64 (*.f64 x 3)) 2) |
(pow.f64 (cbrt.f64 (*.f64 x 3)) 3) |
(pow.f64 (pow.f64 (*.f64 x 3) 3) 1/3) |
(sqrt.f64 (*.f64 9 (*.f64 x x))) |
(log.f64 (pow.f64 (exp.f64 3) x)) |
(cbrt.f64 (pow.f64 (*.f64 x 3) 3)) |
(expm1.f64 (log1p.f64 (*.f64 x 3))) |
(exp.f64 (log.f64 (*.f64 x 3))) |
(log1p.f64 (expm1.f64 (*.f64 x 3))) |
| Outputs |
|---|
(*.f64 3 x) |
(*.f64 3 x) |
(*.f64 3 x) |
(*.f64 3 x) |
(*.f64 3 x) |
(*.f64 3 x) |
(*.f64 3 x) |
(*.f64 3 x) |
(*.f64 3 x) |
(*.f64 3 x) |
(*.f64 3 x) |
(*.f64 3 x) |
(-.f64 (+.f64 1 (/.f64 1/3 x)) 1) |
(+.f64 1 (-.f64 (/.f64 1/3 x) 1)) |
(+.f64 (/.f64 1/3 x) 0) |
(/.f64 1/3 x) |
(*.f64 1/3 (/.f64 1 x)) |
(+.f64 1 (-.f64 (/.f64 1/3 x) 1)) |
(+.f64 (/.f64 1/3 x) 0) |
(/.f64 1/3 x) |
(*.f64 (/.f64 1/3 x) 1) |
(+.f64 1 (-.f64 (/.f64 1/3 x) 1)) |
(+.f64 (/.f64 1/3 x) 0) |
(/.f64 1/3 x) |
(*.f64 1 (/.f64 1/3 x)) |
(+.f64 1 (-.f64 (/.f64 1/3 x) 1)) |
(+.f64 (/.f64 1/3 x) 0) |
(/.f64 1/3 x) |
(*.f64 (sqrt.f64 (/.f64 1/3 x)) (sqrt.f64 (/.f64 1/3 x))) |
(+.f64 1 (-.f64 (/.f64 1/3 x) 1)) |
(+.f64 (/.f64 1/3 x) 0) |
(/.f64 1/3 x) |
(*.f64 (cbrt.f64 (/.f64 1/3 x)) (pow.f64 (cbrt.f64 (/.f64 1/3 x)) 2)) |
(+.f64 1 (-.f64 (/.f64 1/3 x) 1)) |
(+.f64 (/.f64 1/3 x) 0) |
(/.f64 1/3 x) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 x)) 2) (cbrt.f64 (/.f64 1/3 x))) |
(+.f64 1 (-.f64 (/.f64 1/3 x) 1)) |
(+.f64 (/.f64 1/3 x) 0) |
(/.f64 1/3 x) |
(*.f64 (/.f64 1 x) 1/3) |
(+.f64 1 (-.f64 (/.f64 1/3 x) 1)) |
(+.f64 (/.f64 1/3 x) 0) |
(/.f64 1/3 x) |
(*.f64 -1/3 (/.f64 1 (neg.f64 x))) |
(+.f64 1 (-.f64 (/.f64 1/3 x) 1)) |
(+.f64 (/.f64 1/3 x) 0) |
(/.f64 1/3 x) |
(pow.f64 (/.f64 1/3 x) 1) |
(+.f64 1 (-.f64 (/.f64 1/3 x) 1)) |
(+.f64 (/.f64 1/3 x) 0) |
(/.f64 1/3 x) |
(pow.f64 (*.f64 x 3) -1) |
(+.f64 1 (-.f64 (/.f64 1/3 x) 1)) |
(+.f64 (/.f64 1/3 x) 0) |
(/.f64 1/3 x) |
(pow.f64 (sqrt.f64 (/.f64 1/3 x)) 2) |
(+.f64 1 (-.f64 (/.f64 1/3 x) 1)) |
(+.f64 (/.f64 1/3 x) 0) |
(/.f64 1/3 x) |
(pow.f64 (cbrt.f64 (/.f64 1/3 x)) 3) |
(+.f64 1 (-.f64 (/.f64 1/3 x) 1)) |
(+.f64 (/.f64 1/3 x) 0) |
(/.f64 1/3 x) |
(pow.f64 (pow.f64 (/.f64 1/3 x) 3) 1/3) |
(+.f64 1 (-.f64 (/.f64 1/3 x) 1)) |
(+.f64 (/.f64 1/3 x) 0) |
(/.f64 1/3 x) |
(sqrt.f64 (/.f64 1/9 (*.f64 x x))) |
(sqrt.f64 (/.f64 (/.f64 1/9 x) x)) |
(log.f64 (exp.f64 (/.f64 1/3 x))) |
(+.f64 1 (-.f64 (/.f64 1/3 x) 1)) |
(+.f64 (/.f64 1/3 x) 0) |
(/.f64 1/3 x) |
(cbrt.f64 (pow.f64 (/.f64 1/3 x) 3)) |
(+.f64 1 (-.f64 (/.f64 1/3 x) 1)) |
(+.f64 (/.f64 1/3 x) 0) |
(/.f64 1/3 x) |
(expm1.f64 (log1p.f64 (/.f64 1/3 x))) |
(+.f64 1 (-.f64 (/.f64 1/3 x) 1)) |
(+.f64 (/.f64 1/3 x) 0) |
(/.f64 1/3 x) |
(exp.f64 (log.f64 (/.f64 1/3 x))) |
(+.f64 1 (-.f64 (/.f64 1/3 x) 1)) |
(+.f64 (/.f64 1/3 x) 0) |
(/.f64 1/3 x) |
(log1p.f64 (expm1.f64 (/.f64 1/3 x))) |
(+.f64 1 (-.f64 (/.f64 1/3 x) 1)) |
(+.f64 (/.f64 1/3 x) 0) |
(/.f64 1/3 x) |
(-.f64 (+.f64 1 (*.f64 x 3)) 1) |
(*.f64 3 x) |
(*.f64 x 3) |
(*.f64 3 x) |
(*.f64 1 (*.f64 x 3)) |
(*.f64 3 x) |
(*.f64 (*.f64 x 3) 1) |
(*.f64 3 x) |
(*.f64 (sqrt.f64 (*.f64 x 3)) (sqrt.f64 (*.f64 x 3))) |
(*.f64 3 x) |
(*.f64 (cbrt.f64 (*.f64 x 3)) (cbrt.f64 (*.f64 9 (*.f64 x x)))) |
(*.f64 (cbrt.f64 (*.f64 3 x)) (cbrt.f64 (*.f64 (*.f64 x x) 9))) |
(*.f64 (cbrt.f64 (*.f64 3 x)) (cbrt.f64 (*.f64 x (*.f64 x 9)))) |
(*.f64 (cbrt.f64 (*.f64 9 (*.f64 x x))) (cbrt.f64 (*.f64 x 3))) |
(*.f64 (cbrt.f64 (*.f64 3 x)) (cbrt.f64 (*.f64 (*.f64 x x) 9))) |
(*.f64 (cbrt.f64 (*.f64 3 x)) (cbrt.f64 (*.f64 x (*.f64 x 9)))) |
(*.f64 3 x) |
(*.f64 3 (pow.f64 (/.f64 1 x) -1)) |
(*.f64 3 x) |
(*.f64 -1 (/.f64 1 (/.f64 -1/3 x))) |
(*.f64 3 x) |
(*.f64 (*.f64 3 (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 3 x) |
(*.f64 (*.f64 3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(*.f64 3 x) |
(*.f64 -3 (neg.f64 x)) |
(*.f64 3 x) |
(*.f64 (pow.f64 (sqrt.f64 (/.f64 1/3 x)) -1) (pow.f64 (sqrt.f64 (/.f64 1/3 x)) -1)) |
(*.f64 3 x) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 x)) 2) -1) (pow.f64 (cbrt.f64 (/.f64 1/3 x)) -1)) |
(*.f64 3 x) |
(pow.f64 (/.f64 1/3 x) -1) |
(*.f64 3 x) |
(pow.f64 (*.f64 x 3) 1) |
(*.f64 3 x) |
(pow.f64 (sqrt.f64 (*.f64 x 3)) 2) |
(*.f64 3 x) |
(pow.f64 (cbrt.f64 (*.f64 x 3)) 3) |
(*.f64 3 x) |
(pow.f64 (pow.f64 (*.f64 x 3) 3) 1/3) |
(*.f64 3 x) |
(sqrt.f64 (*.f64 9 (*.f64 x x))) |
(sqrt.f64 (*.f64 (*.f64 x x) 9)) |
(sqrt.f64 (*.f64 x (*.f64 x 9))) |
(fabs.f64 (*.f64 3 x)) |
(log.f64 (pow.f64 (exp.f64 3) x)) |
(*.f64 3 x) |
(cbrt.f64 (pow.f64 (*.f64 x 3) 3)) |
(*.f64 3 x) |
(expm1.f64 (log1p.f64 (*.f64 x 3))) |
(*.f64 3 x) |
(exp.f64 (log.f64 (*.f64 x 3))) |
(*.f64 3 x) |
(log1p.f64 (expm1.f64 (*.f64 x 3))) |
(*.f64 3 x) |
Compiled 7456 to 3776 computations (49.4% saved)
12 alts after pruning (3 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 415 | 2 | 417 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 2 | 8 | 10 |
| Total | 417 | 12 | 429 |
| Status | Error | Program |
|---|---|---|
| ✓ | 19.4b | (fma.f64 3 x z) |
| 53.1b | (/.f64 (*.f64 x x) (/.f64 (-.f64 x z) 3)) | |
| ✓ | 41.3b | (/.f64 1 (/.f64 1/3 x)) |
| 41.3b | (/.f64 1 (*.f64 (/.f64 1 x) 1/3)) | |
| ✓ | 19.4b | (+.f64 (*.f64 3 x) z) |
| ✓ | 22.7b | (+.f64 (*.f64 2 (+.f64 y x)) x) |
| ✓ | 23.0b | (+.f64 (*.f64 2 y) z) |
| ✓ | 19.4b | (+.f64 (*.f64 2 x) (+.f64 z x)) |
| ✓ | 0.0b | (+.f64 x (+.f64 (*.f64 2 (+.f64 x y)) z)) |
| ✓ | 41.2b | (*.f64 3 x) |
| ✓ | 44.6b | (*.f64 2 y) |
| 41.4b | z |
Compiled 101 to 76 computations (24.8% saved)
| Inputs |
|---|
z |
(*.f64 2 y) |
(*.f64 3 x) |
(+.f64 (*.f64 2 y) z) |
(+.f64 (*.f64 3 x) z) |
(/.f64 1 (/.f64 1/3 x)) |
(+.f64 (*.f64 2 x) (+.f64 z x)) |
(+.f64 (*.f64 2 (+.f64 y x)) x) |
(/.f64 1 (*.f64 (/.f64 1 x) 1/3)) |
(+.f64 x (+.f64 (*.f64 2 (+.f64 x y)) z)) |
(/.f64 1 (/.f64 1 (+.f64 z (*.f64 x 3)))) |
(/.f64 (*.f64 x x) (/.f64 (-.f64 x z) 3)) |
(*.f64 (/.f64 1 (-.f64 x z)) (*.f64 3 (*.f64 x x))) |
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) |
(*.f64 (/.f64 1 (-.f64 x z)) (*.f64 (+.f64 z (*.f64 x 3)) (-.f64 x z))) |
(/.f64 (+.f64 (*.f64 9 (*.f64 x x)) (*.f64 -4 (*.f64 y y))) (+.f64 (*.f64 3 x) (*.f64 -2 y))) |
(fma.f64 3 x z) |
(fma.f64 3 x (*.f64 2 y)) |
(fma.f64 x 3 (fma.f64 y 2 z)) |
| Outputs |
|---|
(fma.f64 x 3 (fma.f64 y 2 z)) |
4 calls:
| 31.0ms | x |
| 11.0ms | (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) |
| 10.0ms | z |
| 10.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 1 | x |
| 0.0b | 1 | y |
| 0.0b | 1 | z |
| 0.0b | 1 | (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) |
Compiled 172 to 103 computations (40.1% saved)
| Inputs |
|---|
z |
(*.f64 2 y) |
(*.f64 3 x) |
(+.f64 (*.f64 2 y) z) |
(+.f64 (*.f64 3 x) z) |
(/.f64 1 (/.f64 1/3 x)) |
(+.f64 (*.f64 2 x) (+.f64 z x)) |
(+.f64 (*.f64 2 (+.f64 y x)) x) |
(/.f64 1 (*.f64 (/.f64 1 x) 1/3)) |
(+.f64 x (+.f64 (*.f64 2 (+.f64 x y)) z)) |
(/.f64 1 (/.f64 1 (+.f64 z (*.f64 x 3)))) |
(/.f64 (*.f64 x x) (/.f64 (-.f64 x z) 3)) |
(*.f64 (/.f64 1 (-.f64 x z)) (*.f64 3 (*.f64 x x))) |
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) |
(*.f64 (/.f64 1 (-.f64 x z)) (*.f64 (+.f64 z (*.f64 x 3)) (-.f64 x z))) |
(/.f64 (+.f64 (*.f64 9 (*.f64 x x)) (*.f64 -4 (*.f64 y y))) (+.f64 (*.f64 3 x) (*.f64 -2 y))) |
(fma.f64 3 x z) |
(fma.f64 3 x (*.f64 2 y)) |
| Outputs |
|---|
(+.f64 x (+.f64 (*.f64 2 (+.f64 x y)) z)) |
4 calls:
| 38.0ms | x |
| 10.0ms | z |
| 10.0ms | (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) |
| 10.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 1 | x |
| 0.0b | 1 | y |
| 0.0b | 1 | z |
| 0.0b | 1 | (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 x y) y) x) z) x) |
Compiled 165 to 99 computations (40% saved)
| Inputs |
|---|
z |
(*.f64 2 y) |
(*.f64 3 x) |
(+.f64 (*.f64 2 y) z) |
(+.f64 (*.f64 3 x) z) |
(/.f64 1 (/.f64 1/3 x)) |
(+.f64 (*.f64 2 x) (+.f64 z x)) |
(+.f64 (*.f64 2 (+.f64 y x)) x) |
(/.f64 1 (*.f64 (/.f64 1 x) 1/3)) |
| Outputs |
|---|
(+.f64 (*.f64 2 y) z) |
(+.f64 (*.f64 2 (+.f64 y x)) x) |
(+.f64 (*.f64 2 y) z) |
(+.f64 (*.f64 2 x) (+.f64 z x)) |
(+.f64 (*.f64 2 y) z) |
(+.f64 (*.f64 3 x) z) |
(+.f64 (*.f64 2 (+.f64 y x)) x) |
3 calls:
| 71.0ms | y |
| 32.0ms | x |
| 17.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 7.9b | 5 | x |
| 4.1b | 7 | y |
| 6.2b | 3 | z |
Compiled 58 to 40 computations (31% saved)
| 6× | binary-search |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 5.697494560545172e+116 | 8.58824354983447e+119 |
| 34.0ms | 1.3010196580257628e+100 | 3.371472804899371e+100 |
| 16.0ms | 3.947202072511119e+39 | 2.1001076945635858e+42 |
| 16.0ms | -5.147808173759577e+37 | -2.5407179172291696e+32 |
| 48.0ms | -3.305576871358282e+65 | -1.2062568950606493e+64 |
| 13.0ms | -6.9109634961851975e+162 | -2.6807465119325788e+159 |
| 127.0ms | 683× | body | 256 | valid |
| 3.0ms | 23× | body | 512 | valid |
| 3.0ms | 14× | body | 1024 | valid |
Compiled 910 to 683 computations (24.9% saved)
| Inputs |
|---|
z |
(*.f64 2 y) |
(*.f64 3 x) |
(+.f64 (*.f64 2 y) z) |
(+.f64 (*.f64 3 x) z) |
(/.f64 1 (/.f64 1/3 x)) |
(+.f64 (*.f64 2 x) (+.f64 z x)) |
| Outputs |
|---|
(+.f64 (*.f64 2 y) z) |
(+.f64 (*.f64 2 x) (+.f64 z x)) |
(+.f64 (*.f64 2 y) z) |
3 calls:
| 35.0ms | z |
| 22.0ms | x |
| 19.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 9.4b | 5 | x |
| 6.4b | 3 | y |
| 15.7b | 4 | z |
Compiled 44 to 30 computations (31.8% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 44.0ms | 3.947202072511119e+39 | 2.1001076945635858e+42 |
| 17.0ms | -5.147808173759577e+37 | -2.5407179172291696e+32 |
| 32.0ms | 10× | body | 1024 | valid |
| 25.0ms | 258× | body | 256 | valid |
| 1.0ms | 4× | body | 512 | valid |
Compiled 360 to 268 computations (25.6% saved)
| Inputs |
|---|
z |
(*.f64 2 y) |
(*.f64 3 x) |
(+.f64 (*.f64 2 y) z) |
(+.f64 (*.f64 3 x) z) |
(/.f64 1 (/.f64 1/3 x)) |
| Outputs |
|---|
(+.f64 (*.f64 2 y) z) |
(+.f64 (*.f64 3 x) z) |
(+.f64 (*.f64 2 y) z) |
3 calls:
| 24.0ms | x |
| 21.0ms | y |
| 19.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 9.4b | 5 | x |
| 6.4b | 3 | y |
| 15.7b | 4 | z |
Compiled 37 to 26 computations (29.7% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 3.947202072511119e+39 | 2.1001076945635858e+42 |
| 18.0ms | -5.147808173759577e+37 | -2.5407179172291696e+32 |
| 27.0ms | 261× | body | 256 | valid |
| 2.0ms | 9× | body | 1024 | valid |
| 0.0ms | 2× | body | 512 | valid |
Compiled 326 to 251 computations (23% saved)
| Inputs |
|---|
z |
(*.f64 2 y) |
(*.f64 3 x) |
(+.f64 (*.f64 2 y) z) |
| Outputs |
|---|
(*.f64 3 x) |
(+.f64 (*.f64 2 y) z) |
(*.f64 3 x) |
(+.f64 (*.f64 2 y) z) |
(*.f64 3 x) |
3 calls:
| 29.0ms | x |
| 27.0ms | z |
| 27.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 12.4b | 5 | x |
| 16.0b | 7 | y |
| 15.7b | 7 | z |
Compiled 27 to 19 computations (29.6% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 2.130078415615357e+203 | 3.7253021941702513e+208 |
| 12.0ms | 3.729327432635731e+69 | 2.0957333825695105e+70 |
| 15.0ms | 3.96523379411513e+33 | 1.0487286377929468e+38 |
| 16.0ms | -2.623753781840588e+101 | -2.2569656106352305e+98 |
| 47.0ms | 461× | body | 256 | valid |
| 4.0ms | 17× | body | 1024 | valid |
| 2.0ms | 12× | body | 512 | valid |
| 2.0ms | 6× | body | 2048 | valid |
Compiled 516 to 416 computations (19.4% saved)
| Inputs |
|---|
z |
(*.f64 2 y) |
(*.f64 3 x) |
| Outputs |
|---|
z |
(*.f64 2 y) |
(*.f64 3 x) |
(*.f64 2 y) |
(*.f64 3 x) |
z |
3 calls:
| 28.0ms | x |
| 26.0ms | y |
| 22.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 25.9b | 7 | x |
| 23.6b | 7 | y |
| 22.1b | 6 | z |
Compiled 22 to 16 computations (27.3% saved)
| 5× | binary-search |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 1.3511977868326948e+49 | 1.3578559946883857e+59 |
| 15.0ms | 1.0473943339458256e-307 | 6.349816078688018e-305 |
| 14.0ms | -1.6028739091485996e-153 | -5.092487819054068e-156 |
| 24.0ms | -1.4287662999288095e-52 | -6.413854730671284e-67 |
| 14.0ms | -2.7268049269099708e+69 | -4.0942910478350315e+66 |
| 65.0ms | 648× | body | 256 | valid |
| 5.0ms | 29× | body | 512 | valid |
| 4.0ms | 18× | body | 1024 | valid |
| 2.0ms | 9× | body | 2048 | valid |
Compiled 600 to 505 computations (15.8% saved)
Total -33.0b remaining (-112.9%)
Threshold costs -33.0b (-112.9%)
| Inputs |
|---|
z |
(*.f64 2 y) |
| Outputs |
|---|
z |
(*.f64 2 y) |
z |
3 calls:
| 16.0ms | x |
| 11.0ms | y |
| 11.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 37.3b | 5 | x |
| 30.3b | 3 | y |
| 29.3b | 3 | z |
Compiled 19 to 14 computations (26.3% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 5.0ms | 6.402806914174376e+90 | 8.403240538508116e+90 |
| 16.0ms | -2.7268049269099708e+69 | -4.0942910478350315e+66 |
| 16.0ms | 169× | body | 256 | valid |
| 1.0ms | 3× | body | 512 | valid |
| 1.0ms | 4× | body | 1024 | valid |
Compiled 152 to 123 computations (19.1% saved)
| 1× | egg-herbie |
| 16× | +-commutative |
| 12× | if-if-or-not |
| 8× | not-or |
| 8× | *-commutative |
| 6× | not-not |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 90 | 499 |
| 1 | 117 | 493 |
| 2 | 120 | 493 |
| 3 | 126 | 489 |
| 4 | 130 | 489 |
| 5 | 134 | 489 |
| 6 | 135 | 489 |
| 7 | 136 | 489 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 x 3 (fma.f64 y 2 z)) |
(+.f64 x (+.f64 (*.f64 2 (+.f64 x y)) z)) |
(if (<=.f64 y -4499999999999999720324728371523788599027363217475355934190763921652086364970642511217849736338193774207049908298523958514321371922588922010933454643156981305573376) (+.f64 (*.f64 2 y) z) (if (<=.f64 y -190000000000000005512381249127238323940923828257196359543055974400) (+.f64 (*.f64 2 (+.f64 y x)) x) (if (<=.f64 y -7800000000000000382531854923726848) (+.f64 (*.f64 2 y) z) (if (<=.f64 y 15999999999999999035346661945650857377792) (+.f64 (*.f64 2 x) (+.f64 z x)) (if (<=.f64 y 31000000000000000687256513625130366543864697230582262972562799334232252318909422262412185476676976640) (+.f64 (*.f64 2 y) z) (if (<=.f64 y 1450000000000000136298191076443542452559007835651850076750977748071755676828967303051784773744366806753184312457166848) (+.f64 (*.f64 3 x) z) (+.f64 (*.f64 2 (+.f64 y x)) x))))))) |
(if (<=.f64 y -156000000000000007650637098474536960) (+.f64 (*.f64 2 y) z) (if (<=.f64 y 2099999999999999954991742204354144323502080) (+.f64 (*.f64 2 x) (+.f64 z x)) (+.f64 (*.f64 2 y) z))) |
(if (<=.f64 y -47000000000000001477261122514976768) (+.f64 (*.f64 2 y) z) (if (<=.f64 y 640000000000000019442305819328234681008128) (+.f64 (*.f64 3 x) z) (+.f64 (*.f64 2 y) z))) |
(if (<=.f64 x -45000000000000003629633438277789918486816498773032126217626232588074556352485329382017042744168415232) (*.f64 3 x) (if (<=.f64 x 8000000000000000339365098992143695872) (+.f64 (*.f64 2 y) z) (if (<=.f64 x 13199999999999999424919419370297045306943515057024906194101251868721152) (*.f64 3 x) (if (<=.f64 x 299999999999999996630732362518988342952803379488649768992510454652087783547085600533328090838002069535557761603666926736444477839227214370924576161583627871744229584898717153533619263940649277593806176256) (+.f64 (*.f64 2 y) z) (*.f64 3 x))))) |
(if (<=.f64 z -13200000000000000550345832193684175663854613120533212914112794722304) z (if (<=.f64 z -4593802368423799/883423532389192164791648750371459257913741948437809479060803100646309888) (*.f64 2 y) (if (<=.f64 z -7970608641223095/60383398797144661635864873295812302254670739526663046854019300803929986598274381633378027602842540280663494000492221518396329354078796682120982948022923136698390325231616) (*.f64 3 x) (if (<=.f64 z 872859717387777/6325070415853456823515479584966165845298645305129441198653167438357198111499854590373761990669910140474596183259900372230931523043306046152094168748148078435047419508642698792639590866940413010663742739952273283392562733857021646831815729864036236135650314266011211548510419206725953204130822734645187695728365866909171712) (*.f64 2 y) (if (<=.f64 z 719999999999999971857593119304344367235806523293696) (*.f64 3 x) z))))) |
(if (<=.f64 z -6100000000000000208975644373540578504036653981413869236743793803264) z (if (<=.f64 z 7600000000000000242823390079118667589327990513118807879664992299724064748368388437219213312) (*.f64 2 y) z)) |
z |
| Outputs |
|---|
(fma.f64 x 3 (fma.f64 y 2 z)) |
(+.f64 x (+.f64 (*.f64 2 (+.f64 x y)) z)) |
(+.f64 x (+.f64 z (*.f64 2 (+.f64 x y)))) |
(if (<=.f64 y -4499999999999999720324728371523788599027363217475355934190763921652086364970642511217849736338193774207049908298523958514321371922588922010933454643156981305573376) (+.f64 (*.f64 2 y) z) (if (<=.f64 y -190000000000000005512381249127238323940923828257196359543055974400) (+.f64 (*.f64 2 (+.f64 y x)) x) (if (<=.f64 y -7800000000000000382531854923726848) (+.f64 (*.f64 2 y) z) (if (<=.f64 y 15999999999999999035346661945650857377792) (+.f64 (*.f64 2 x) (+.f64 z x)) (if (<=.f64 y 31000000000000000687256513625130366543864697230582262972562799334232252318909422262412185476676976640) (+.f64 (*.f64 2 y) z) (if (<=.f64 y 1450000000000000136298191076443542452559007835651850076750977748071755676828967303051784773744366806753184312457166848) (+.f64 (*.f64 3 x) z) (+.f64 (*.f64 2 (+.f64 y x)) x))))))) |
(if (<=.f64 y -4499999999999999720324728371523788599027363217475355934190763921652086364970642511217849736338193774207049908298523958514321371922588922010933454643156981305573376) (+.f64 z (*.f64 y 2)) (if (<=.f64 y -190000000000000005512381249127238323940923828257196359543055974400) (+.f64 x (*.f64 2 (+.f64 x y))) (if (<=.f64 y -7800000000000000382531854923726848) (+.f64 z (*.f64 y 2)) (if (<=.f64 y 15999999999999999035346661945650857377792) (+.f64 (*.f64 x 2) (+.f64 x z)) (if (<=.f64 y 31000000000000000687256513625130366543864697230582262972562799334232252318909422262412185476676976640) (+.f64 z (*.f64 y 2)) (if (<=.f64 y 1450000000000000136298191076443542452559007835651850076750977748071755676828967303051784773744366806753184312457166848) (+.f64 z (*.f64 x 3)) (+.f64 x (*.f64 2 (+.f64 x y))))))))) |
(if (<=.f64 y -156000000000000007650637098474536960) (+.f64 (*.f64 2 y) z) (if (<=.f64 y 2099999999999999954991742204354144323502080) (+.f64 (*.f64 2 x) (+.f64 z x)) (+.f64 (*.f64 2 y) z))) |
(if (or (<=.f64 y -156000000000000007650637098474536960) (not (<=.f64 y 2099999999999999954991742204354144323502080))) (+.f64 z (*.f64 y 2)) (+.f64 (*.f64 x 2) (+.f64 x z))) |
(if (<=.f64 y -47000000000000001477261122514976768) (+.f64 (*.f64 2 y) z) (if (<=.f64 y 640000000000000019442305819328234681008128) (+.f64 (*.f64 3 x) z) (+.f64 (*.f64 2 y) z))) |
(if (or (<=.f64 y -47000000000000001477261122514976768) (not (<=.f64 y 640000000000000019442305819328234681008128))) (+.f64 z (*.f64 y 2)) (+.f64 z (*.f64 x 3))) |
(if (<=.f64 x -45000000000000003629633438277789918486816498773032126217626232588074556352485329382017042744168415232) (*.f64 3 x) (if (<=.f64 x 8000000000000000339365098992143695872) (+.f64 (*.f64 2 y) z) (if (<=.f64 x 13199999999999999424919419370297045306943515057024906194101251868721152) (*.f64 3 x) (if (<=.f64 x 299999999999999996630732362518988342952803379488649768992510454652087783547085600533328090838002069535557761603666926736444477839227214370924576161583627871744229584898717153533619263940649277593806176256) (+.f64 (*.f64 2 y) z) (*.f64 3 x))))) |
(if (<=.f64 x -45000000000000003629633438277789918486816498773032126217626232588074556352485329382017042744168415232) (*.f64 x 3) (if (<=.f64 x 8000000000000000339365098992143695872) (+.f64 z (*.f64 y 2)) (if (<=.f64 x 13199999999999999424919419370297045306943515057024906194101251868721152) (*.f64 x 3) (if (<=.f64 x 299999999999999996630732362518988342952803379488649768992510454652087783547085600533328090838002069535557761603666926736444477839227214370924576161583627871744229584898717153533619263940649277593806176256) (+.f64 z (*.f64 y 2)) (*.f64 x 3))))) |
(if (<=.f64 x -45000000000000003629633438277789918486816498773032126217626232588074556352485329382017042744168415232) (*.f64 x 3) (if (or (<=.f64 x 8000000000000000339365098992143695872) (not (or (<=.f64 x 13199999999999999424919419370297045306943515057024906194101251868721152) (not (<=.f64 x 299999999999999996630732362518988342952803379488649768992510454652087783547085600533328090838002069535557761603666926736444477839227214370924576161583627871744229584898717153533619263940649277593806176256))))) (+.f64 z (*.f64 y 2)) (*.f64 x 3))) |
(if (<=.f64 x -45000000000000003629633438277789918486816498773032126217626232588074556352485329382017042744168415232) (*.f64 x 3) (if (or (<=.f64 x 8000000000000000339365098992143695872) (and (not (<=.f64 x 13199999999999999424919419370297045306943515057024906194101251868721152)) (<=.f64 x 299999999999999996630732362518988342952803379488649768992510454652087783547085600533328090838002069535557761603666926736444477839227214370924576161583627871744229584898717153533619263940649277593806176256))) (+.f64 z (*.f64 y 2)) (*.f64 x 3))) |
(if (<=.f64 z -13200000000000000550345832193684175663854613120533212914112794722304) z (if (<=.f64 z -4593802368423799/883423532389192164791648750371459257913741948437809479060803100646309888) (*.f64 2 y) (if (<=.f64 z -7970608641223095/60383398797144661635864873295812302254670739526663046854019300803929986598274381633378027602842540280663494000492221518396329354078796682120982948022923136698390325231616) (*.f64 3 x) (if (<=.f64 z 872859717387777/6325070415853456823515479584966165845298645305129441198653167438357198111499854590373761990669910140474596183259900372230931523043306046152094168748148078435047419508642698792639590866940413010663742739952273283392562733857021646831815729864036236135650314266011211548510419206725953204130822734645187695728365866909171712) (*.f64 2 y) (if (<=.f64 z 719999999999999971857593119304344367235806523293696) (*.f64 3 x) z))))) |
(if (<=.f64 z -13200000000000000550345832193684175663854613120533212914112794722304) z (if (<=.f64 z -4593802368423799/883423532389192164791648750371459257913741948437809479060803100646309888) (*.f64 y 2) (if (<=.f64 z -7970608641223095/60383398797144661635864873295812302254670739526663046854019300803929986598274381633378027602842540280663494000492221518396329354078796682120982948022923136698390325231616) (*.f64 x 3) (if (<=.f64 z 872859717387777/6325070415853456823515479584966165845298645305129441198653167438357198111499854590373761990669910140474596183259900372230931523043306046152094168748148078435047419508642698792639590866940413010663742739952273283392562733857021646831815729864036236135650314266011211548510419206725953204130822734645187695728365866909171712) (*.f64 y 2) (if (<=.f64 z 719999999999999971857593119304344367235806523293696) (*.f64 x 3) z))))) |
(if (<=.f64 z -6100000000000000208975644373540578504036653981413869236743793803264) z (if (<=.f64 z 7600000000000000242823390079118667589327990513118807879664992299724064748368388437219213312) (*.f64 2 y) z)) |
(if (<=.f64 z -6100000000000000208975644373540578504036653981413869236743793803264) z (if (<=.f64 z 7600000000000000242823390079118667589327990513118807879664992299724064748368388437219213312) (*.f64 y 2) z)) |
z |
Compiled 224 to 155 computations (30.8% saved)
| 1× | egg-herbie |
| 126× | associate-+r+ |
| 104× | fma-def |
| 100× | +-commutative |
| 84× | associate-+l+ |
| 8× | *-commutative |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 31 |
| 1 | 22 | 25 |
| 2 | 60 | 21 |
| 3 | 145 | 21 |
| 4 | 217 | 17 |
| 5 | 244 | 17 |
| 6 | 250 | 17 |
| 1× | saturated |
Compiled 154 to 60 computations (61% saved)
Compiled 200 to 129 computations (35.5% saved)
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