Kahan's exp quotient
Time bar (total: 2.5s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 2 |
| 75% | 75% | 25% | 0% | 0% | 0% | 0% | 3 |
| 87.5% | 87.5% | 12.5% | 0% | 0% | 0% | 0% | 4 |
| 93.8% | 93.7% | 6.2% | 0% | 0% | 0% | 0% | 5 |
| 96.9% | 96.8% | 3.1% | 0% | 0% | 0% | 0% | 6 |
| 98.4% | 98.4% | 1.6% | 0% | 0% | 0% | 0% | 7 |
| 99.2% | 99.2% | 0.8% | 0% | 0% | 0% | 0% | 8 |
| 99.6% | 99.6% | 0.4% | 0% | 0% | 0% | 0% | 9 |
| 99.8% | 99.8% | 0.2% | 0% | 0% | 0% | 0% | 10 |
| 99.9% | 99.9% | 0.1% | 0% | 0% | 0% | 0% | 11 |
| 100% | 99.9% | 0% | 0% | 0% | 0% | 0% | 12 |
Compiled 8 to 6 computations (25% saved)
| 292.0ms | 3010× | 256 | valid |
| 503.0ms | 2086× | 1024 | valid |
| 156.0ms | 2034× | 256 | infinite |
| 150.0ms | 1001× | 512 | valid |
| 35.0ms | 125× | 2048 | valid |
| 1× | egg-herbie |
| 1782× | div-sub |
| 1494× | fma-neg |
| 1012× | times-frac |
| 636× | distribute-lft-neg-in |
| 552× | distribute-rgt-neg-in |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 129 | 0 | - | 0 | - | (-.f64 (exp.f64 x) 1) |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (exp.f64 x) |
| 0 | 0 | - | 0 | - | (/.f64 (-.f64 (exp.f64 x) 1) x) |
| 0 | 0 | - | 0 | - | 1 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 88 |
| 1 | 39 | 88 |
| 2 | 68 | 86 |
| 3 | 147 | 80 |
| 4 | 384 | 80 |
| 5 | 1036 | 80 |
| 6 | 4095 | 80 |
| 7 | 7627 | 80 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) (neg.f64 x)) |
(neg.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) (neg.f64 x))) |
| Outputs |
|---|
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) (neg.f64 x)) |
(/.f64 (expm1.f64 (neg.f64 x)) (neg.f64 x)) |
(neg.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 x)) 1) (neg.f64 x))) |
(/.f64 (neg.f64 (expm1.f64 (neg.f64 x))) (neg.f64 x)) |
(*.f64 1 (/.f64 (expm1.f64 (neg.f64 x)) x)) |
(/.f64 (expm1.f64 (neg.f64 x)) x) |
Compiled 39 to 23 computations (41% saved)
Compiled 5 to 3 computations (40% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (/.f64 (expm1.f64 x) x) |
Compiled 5 to 3 computations (40% saved)
Found 2 expressions with local error:
| New | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (expm1.f64 x) x) |
| ✓ | 100.0% | (expm1.f64 x) |
Compiled 9 to 4 computations (55.6% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (/.f64 (expm1.f64 x) x) |
| 0.0ms | x | @ | inf | (/.f64 (expm1.f64 x) x) |
| 0.0ms | x | @ | 0 | (expm1.f64 x) |
| 0.0ms | x | @ | 0 | (/.f64 (expm1.f64 x) x) |
| 0.0ms | x | @ | inf | (expm1.f64 x) |
| 1× | batch-egg-rewrite |
| 510× | unpow-prod-down |
| 354× | cbrt-prod |
| 352× | log-prod |
| 331× | log1p-expm1-u |
| 330× | expm1-log1p-u |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 25 |
| 1 | 68 | 25 |
| 2 | 885 | 25 |
| 1× | node limit |
| Inputs |
|---|
(expm1.f64 x) |
(/.f64 (expm1.f64 x) x) |
| Outputs |
|---|
(+.f64 (exp.f64 x) -1) |
(+.f64 0 (expm1.f64 x)) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (expm1.f64 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 x))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 x))))) |
(-.f64 (exp.f64 x) 1) |
(-.f64 (exp.f64 x) (log.f64 (E.f64))) |
(*.f64 (expm1.f64 x) 1) |
(*.f64 (expm1.f64 x) (log.f64 (E.f64))) |
(*.f64 1 (expm1.f64 x)) |
(*.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (expm1.f64 x))) |
(*.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x))) |
(*.f64 (pow.f64 (expm1.f64 x) 1/4) (sqrt.f64 (pow.f64 (expm1.f64 x) 3/2))) |
(*.f64 (pow.f64 1 1/3) (expm1.f64 x)) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (expm1.f64 x) (cbrt.f64 (expm1.f64 x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (expm1.f64 x)))) |
(*.f64 (pow.f64 (pow.f64 (expm1.f64 x) 5/2) 1/3) (pow.f64 (expm1.f64 x) 1/6)) |
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (expm1.f64 x) (cbrt.f64 (expm1.f64 x))) 2)) (cbrt.f64 (cbrt.f64 (expm1.f64 x)))) |
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 5/2)) (pow.f64 (expm1.f64 x) 1/6)) |
(*.f64 (sqrt.f64 (pow.f64 (expm1.f64 x) 3/2)) (pow.f64 (expm1.f64 x) 1/4)) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 5)) (pow.f64 (expm1.f64 x) 1/6)) |
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 1) (+.f64 (exp.f64 x) 1)) |
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) 1) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (*.f64 (exp.f64 x) 1)))) |
(pow.f64 (expm1.f64 x) 1) |
(pow.f64 (cbrt.f64 (expm1.f64 x)) 3) |
(pow.f64 (pow.f64 (expm1.f64 x) 2) 1/2) |
(pow.f64 (pow.f64 (expm1.f64 x) 3) 1/3) |
(pow.f64 (sqrt.f64 (expm1.f64 x)) 2) |
(pow.f64 (E.f64) (log.f64 (expm1.f64 x))) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 2)) (cbrt.f64 (log.f64 (expm1.f64 x)))) |
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 x)))) (sqrt.f64 (log.f64 (expm1.f64 x)))) |
(sqrt.f64 (pow.f64 (expm1.f64 x) 2)) |
(log.f64 (exp.f64 (expm1.f64 x))) |
(cbrt.f64 (pow.f64 (expm1.f64 x) 3)) |
(exp.f64 (log.f64 (expm1.f64 x))) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) 3)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (expm1.f64 x) 3)) 1/3)) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 x))) 2)) |
(log1p.f64 (expm1.f64 (expm1.f64 x))) |
(fma.f64 1 (exp.f64 x) -1) |
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 2)) (cbrt.f64 (exp.f64 x)) -1) |
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) -1) |
(+.f64 0 (/.f64 (expm1.f64 x) x)) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x))))) |
(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1) |
(-.f64 (/.f64 (exp.f64 x) x) (/.f64 1 x)) |
(*.f64 (expm1.f64 x) (/.f64 1 x)) |
(*.f64 (/.f64 (expm1.f64 x) x) 1) |
(*.f64 (/.f64 (expm1.f64 x) x) (log.f64 (E.f64))) |
(*.f64 1 (/.f64 (expm1.f64 x) x)) |
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (*.f64 (cbrt.f64 (expm1.f64 x)) (/.f64 1 x))) |
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (cbrt.f64 (/.f64 (expm1.f64 x) x))) |
(*.f64 (sqrt.f64 (expm1.f64 x)) (*.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 1 x))) |
(*.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (*.f64 (/.f64 1 x) (/.f64 (expm1.f64 x) x)))) |
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 (expm1.f64 x) x))) |
(*.f64 (neg.f64 (expm1.f64 x)) (/.f64 1 (neg.f64 x))) |
(*.f64 (/.f64 1 x) (expm1.f64 x)) |
(*.f64 (/.f64 1 x) (pow.f64 (/.f64 1 (expm1.f64 x)) -1)) |
(*.f64 (pow.f64 x -1/2) (/.f64 (expm1.f64 x) (sqrt.f64 x))) |
(*.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 1/4) (sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3/2))) |
(*.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (expm1.f64 x) (cbrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 x)) x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) (/.f64 (sqrt.f64 (expm1.f64 x)) x)) |
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 x))) |
(*.f64 (pow.f64 1 1/3) (/.f64 (expm1.f64 x) x)) |
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (expm1.f64 x)) 1/3) (cbrt.f64 (/.f64 1 x))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 (expm1.f64 x) x) (cbrt.f64 (/.f64 (expm1.f64 x) x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 5/2) 1/3) (pow.f64 (/.f64 (expm1.f64 x) x) 1/6)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 2) -1) (cbrt.f64 (/.f64 (expm1.f64 x) x))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) -2) -1) (pow.f64 (/.f64 x (cbrt.f64 (expm1.f64 x))) -1)) |
(*.f64 (pow.f64 (pow.f64 (expm1.f64 x) -1/2) -1) (pow.f64 (/.f64 x (sqrt.f64 (expm1.f64 x))) -1)) |
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 x) (expm1.f64 x)) -1)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x 2) (pow.f64 (expm1.f64 x) 2))) -1) (cbrt.f64 (/.f64 (expm1.f64 x) x))) |
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (expm1.f64 x))) -1) (pow.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (expm1.f64 x))) -1)) |
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) 1) -1) (pow.f64 (/.f64 (sqrt.f64 x) (expm1.f64 x)) -1)) |
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (expm1.f64 x))) -1)) |
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (expm1.f64 x))) (cbrt.f64 (/.f64 1 x))) |
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 (expm1.f64 x) x) (cbrt.f64 (/.f64 (expm1.f64 x) x))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)))) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 5/2)) (pow.f64 (/.f64 (expm1.f64 x) x) 1/6)) |
(*.f64 (sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3/2)) (pow.f64 (/.f64 (expm1.f64 x) x) 1/4)) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 (expm1.f64 x) x) (expm1.f64 x))) (pow.f64 x -1/2)) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 5)) (pow.f64 (/.f64 (expm1.f64 x) x) 1/6)) |
(pow.f64 (/.f64 (expm1.f64 x) x) 1) |
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 3) |
(pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) 1/2) |
(pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3) 1/3) |
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 2) |
(pow.f64 (/.f64 x (expm1.f64 x)) -1) |
(pow.f64 (E.f64) (log.f64 (/.f64 (expm1.f64 x) x))) |
(pow.f64 (/.f64 (/.f64 x (expm1.f64 x)) 1) -1) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (expm1.f64 x) x))) 2)) (cbrt.f64 (log.f64 (/.f64 (expm1.f64 x) x)))) |
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (expm1.f64 x) x)))) (sqrt.f64 (log.f64 (/.f64 (expm1.f64 x) x)))) |
(neg.f64 (/.f64 (expm1.f64 x) (neg.f64 x))) |
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2)) |
(log.f64 (exp.f64 (/.f64 (expm1.f64 x) x))) |
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x))) |
(exp.f64 (log.f64 (/.f64 (expm1.f64 x) x))) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) 3)) |
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (expm1.f64 x) x))) 1/3)) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x))) 2)) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (expm1.f64 x))) -1)) |
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x))) |
| 1× | egg-herbie |
| 1636× | fma-neg |
| 870× | associate-/r* |
| 488× | sqr-pow |
| 428× | log-prod |
| 400× | associate-*r* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 312 | 3254 |
| 1 | 694 | 3135 |
| 2 | 2801 | 3037 |
| 3 | 7514 | 3037 |
| 1× | node limit |
| Inputs |
|---|
x |
(+.f64 x (*.f64 1/2 (pow.f64 x 2))) |
(+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))) |
(+.f64 x (+.f64 (*.f64 1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2))))) |
(-.f64 (exp.f64 x) 1) |
(-.f64 (exp.f64 x) 1) |
(-.f64 (exp.f64 x) 1) |
(-.f64 (exp.f64 x) 1) |
(-.f64 (exp.f64 x) 1) |
(-.f64 (exp.f64 x) 1) |
(-.f64 (exp.f64 x) 1) |
(-.f64 (exp.f64 x) 1) |
1 |
(+.f64 1 (*.f64 1/2 x)) |
(+.f64 1 (+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 1/2 x))) |
(+.f64 1 (+.f64 (*.f64 1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 1/2 x)))) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(+.f64 (exp.f64 x) -1) |
(+.f64 0 (expm1.f64 x)) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (expm1.f64 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 x))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 x))))) |
(-.f64 (exp.f64 x) 1) |
(-.f64 (exp.f64 x) (log.f64 (E.f64))) |
(*.f64 (expm1.f64 x) 1) |
(*.f64 (expm1.f64 x) (log.f64 (E.f64))) |
(*.f64 1 (expm1.f64 x)) |
(*.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (expm1.f64 x))) |
(*.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x))) |
(*.f64 (pow.f64 (expm1.f64 x) 1/4) (sqrt.f64 (pow.f64 (expm1.f64 x) 3/2))) |
(*.f64 (pow.f64 1 1/3) (expm1.f64 x)) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (expm1.f64 x) (cbrt.f64 (expm1.f64 x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (expm1.f64 x)))) |
(*.f64 (pow.f64 (pow.f64 (expm1.f64 x) 5/2) 1/3) (pow.f64 (expm1.f64 x) 1/6)) |
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (expm1.f64 x) (cbrt.f64 (expm1.f64 x))) 2)) (cbrt.f64 (cbrt.f64 (expm1.f64 x)))) |
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 5/2)) (pow.f64 (expm1.f64 x) 1/6)) |
(*.f64 (sqrt.f64 (pow.f64 (expm1.f64 x) 3/2)) (pow.f64 (expm1.f64 x) 1/4)) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 5)) (pow.f64 (expm1.f64 x) 1/6)) |
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 1) (+.f64 (exp.f64 x) 1)) |
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) 1) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (*.f64 (exp.f64 x) 1)))) |
(pow.f64 (expm1.f64 x) 1) |
(pow.f64 (cbrt.f64 (expm1.f64 x)) 3) |
(pow.f64 (pow.f64 (expm1.f64 x) 2) 1/2) |
(pow.f64 (pow.f64 (expm1.f64 x) 3) 1/3) |
(pow.f64 (sqrt.f64 (expm1.f64 x)) 2) |
(pow.f64 (E.f64) (log.f64 (expm1.f64 x))) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 2)) (cbrt.f64 (log.f64 (expm1.f64 x)))) |
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 x)))) (sqrt.f64 (log.f64 (expm1.f64 x)))) |
(sqrt.f64 (pow.f64 (expm1.f64 x) 2)) |
(log.f64 (exp.f64 (expm1.f64 x))) |
(cbrt.f64 (pow.f64 (expm1.f64 x) 3)) |
(exp.f64 (log.f64 (expm1.f64 x))) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) 3)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (expm1.f64 x) 3)) 1/3)) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 x))) 2)) |
(log1p.f64 (expm1.f64 (expm1.f64 x))) |
(fma.f64 1 (exp.f64 x) -1) |
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 2)) (cbrt.f64 (exp.f64 x)) -1) |
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) -1) |
(+.f64 0 (/.f64 (expm1.f64 x) x)) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x))))) |
(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1) |
(-.f64 (/.f64 (exp.f64 x) x) (/.f64 1 x)) |
(*.f64 (expm1.f64 x) (/.f64 1 x)) |
(*.f64 (/.f64 (expm1.f64 x) x) 1) |
(*.f64 (/.f64 (expm1.f64 x) x) (log.f64 (E.f64))) |
(*.f64 1 (/.f64 (expm1.f64 x) x)) |
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (*.f64 (cbrt.f64 (expm1.f64 x)) (/.f64 1 x))) |
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (cbrt.f64 (/.f64 (expm1.f64 x) x))) |
(*.f64 (sqrt.f64 (expm1.f64 x)) (*.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 1 x))) |
(*.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (*.f64 (/.f64 1 x) (/.f64 (expm1.f64 x) x)))) |
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 (expm1.f64 x) x))) |
(*.f64 (neg.f64 (expm1.f64 x)) (/.f64 1 (neg.f64 x))) |
(*.f64 (/.f64 1 x) (expm1.f64 x)) |
(*.f64 (/.f64 1 x) (pow.f64 (/.f64 1 (expm1.f64 x)) -1)) |
(*.f64 (pow.f64 x -1/2) (/.f64 (expm1.f64 x) (sqrt.f64 x))) |
(*.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 1/4) (sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3/2))) |
(*.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (expm1.f64 x) (cbrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 x)) x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) (/.f64 (sqrt.f64 (expm1.f64 x)) x)) |
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 x))) |
(*.f64 (pow.f64 1 1/3) (/.f64 (expm1.f64 x) x)) |
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (expm1.f64 x)) 1/3) (cbrt.f64 (/.f64 1 x))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 (expm1.f64 x) x) (cbrt.f64 (/.f64 (expm1.f64 x) x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 5/2) 1/3) (pow.f64 (/.f64 (expm1.f64 x) x) 1/6)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 2) -1) (cbrt.f64 (/.f64 (expm1.f64 x) x))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) -2) -1) (pow.f64 (/.f64 x (cbrt.f64 (expm1.f64 x))) -1)) |
(*.f64 (pow.f64 (pow.f64 (expm1.f64 x) -1/2) -1) (pow.f64 (/.f64 x (sqrt.f64 (expm1.f64 x))) -1)) |
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 x) (expm1.f64 x)) -1)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x 2) (pow.f64 (expm1.f64 x) 2))) -1) (cbrt.f64 (/.f64 (expm1.f64 x) x))) |
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (expm1.f64 x))) -1) (pow.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (expm1.f64 x))) -1)) |
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) 1) -1) (pow.f64 (/.f64 (sqrt.f64 x) (expm1.f64 x)) -1)) |
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (expm1.f64 x))) -1)) |
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (expm1.f64 x))) (cbrt.f64 (/.f64 1 x))) |
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 (expm1.f64 x) x) (cbrt.f64 (/.f64 (expm1.f64 x) x))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)))) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 5/2)) (pow.f64 (/.f64 (expm1.f64 x) x) 1/6)) |
(*.f64 (sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3/2)) (pow.f64 (/.f64 (expm1.f64 x) x) 1/4)) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 (expm1.f64 x) x) (expm1.f64 x))) (pow.f64 x -1/2)) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 5)) (pow.f64 (/.f64 (expm1.f64 x) x) 1/6)) |
(pow.f64 (/.f64 (expm1.f64 x) x) 1) |
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 3) |
(pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) 1/2) |
(pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3) 1/3) |
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 2) |
(pow.f64 (/.f64 x (expm1.f64 x)) -1) |
(pow.f64 (E.f64) (log.f64 (/.f64 (expm1.f64 x) x))) |
(pow.f64 (/.f64 (/.f64 x (expm1.f64 x)) 1) -1) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (expm1.f64 x) x))) 2)) (cbrt.f64 (log.f64 (/.f64 (expm1.f64 x) x)))) |
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (expm1.f64 x) x)))) (sqrt.f64 (log.f64 (/.f64 (expm1.f64 x) x)))) |
(neg.f64 (/.f64 (expm1.f64 x) (neg.f64 x))) |
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2)) |
(log.f64 (exp.f64 (/.f64 (expm1.f64 x) x))) |
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x))) |
(exp.f64 (log.f64 (/.f64 (expm1.f64 x) x))) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) 3)) |
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (expm1.f64 x) x))) 1/3)) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x))) 2)) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (expm1.f64 x))) -1)) |
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x))) |
| Outputs |
|---|
x |
(+.f64 x (*.f64 1/2 (pow.f64 x 2))) |
(fma.f64 1/2 (pow.f64 x 2) x) |
(*.f64 (fma.f64 x 1/2 1) x) |
(+.f64 x (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))) |
(+.f64 x (fma.f64 1/6 (pow.f64 x 3) (*.f64 1/2 (pow.f64 x 2)))) |
(+.f64 x (fma.f64 1/2 (pow.f64 x 2) (*.f64 1/6 (pow.f64 x 3)))) |
(+.f64 x (*.f64 (pow.f64 x 2) (+.f64 (*.f64 x 1/6) 1/2))) |
(+.f64 x (+.f64 (*.f64 1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2))))) |
(+.f64 x (fma.f64 1/24 (pow.f64 x 4) (fma.f64 1/6 (pow.f64 x 3) (*.f64 1/2 (pow.f64 x 2))))) |
(+.f64 (fma.f64 1/24 (pow.f64 x 4) (*.f64 1/6 (pow.f64 x 3))) (fma.f64 1/2 (pow.f64 x 2) x)) |
(+.f64 x (fma.f64 1/24 (pow.f64 x 4) (*.f64 (pow.f64 x 2) (+.f64 (*.f64 x 1/6) 1/2)))) |
(-.f64 (exp.f64 x) 1) |
(expm1.f64 x) |
(-.f64 (exp.f64 x) 1) |
(expm1.f64 x) |
(-.f64 (exp.f64 x) 1) |
(expm1.f64 x) |
(-.f64 (exp.f64 x) 1) |
(expm1.f64 x) |
(-.f64 (exp.f64 x) 1) |
(expm1.f64 x) |
(-.f64 (exp.f64 x) 1) |
(expm1.f64 x) |
(-.f64 (exp.f64 x) 1) |
(expm1.f64 x) |
(-.f64 (exp.f64 x) 1) |
(expm1.f64 x) |
1 |
(+.f64 1 (*.f64 1/2 x)) |
(+.f64 1 (*.f64 x 1/2)) |
(fma.f64 x 1/2 1) |
(+.f64 1 (+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 1/2 x))) |
(+.f64 1 (fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2))) |
(+.f64 1 (fma.f64 x 1/2 (*.f64 (pow.f64 x 2) 1/6))) |
(+.f64 1 (*.f64 x (+.f64 (*.f64 x 1/6) 1/2))) |
(+.f64 1 (+.f64 (*.f64 1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 1/2 x)))) |
(+.f64 1 (fma.f64 1/24 (pow.f64 x 3) (fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2)))) |
(+.f64 (fma.f64 (pow.f64 x 3) 1/24 (*.f64 (pow.f64 x 2) 1/6)) (fma.f64 x 1/2 1)) |
(+.f64 (fma.f64 x 1/2 1) (*.f64 (pow.f64 x 2) (+.f64 1/6 (*.f64 x 1/24)))) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
(/.f64 (expm1.f64 x) x) |
(+.f64 (exp.f64 x) -1) |
(expm1.f64 x) |
(+.f64 0 (expm1.f64 x)) |
(expm1.f64 x) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (expm1.f64 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 x))))) |
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 x))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 x))))) |
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 x))))) |
(-.f64 (exp.f64 x) 1) |
(expm1.f64 x) |
(-.f64 (exp.f64 x) (log.f64 (E.f64))) |
(expm1.f64 x) |
(*.f64 (expm1.f64 x) 1) |
(expm1.f64 x) |
(*.f64 (expm1.f64 x) (log.f64 (E.f64))) |
(expm1.f64 x) |
(*.f64 1 (expm1.f64 x)) |
(expm1.f64 x) |
(*.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) |
(expm1.f64 x) |
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (expm1.f64 x))) |
(expm1.f64 x) |
(*.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x))) |
(expm1.f64 x) |
(*.f64 (pow.f64 (expm1.f64 x) 1/4) (sqrt.f64 (pow.f64 (expm1.f64 x) 3/2))) |
(*.f64 (pow.f64 (expm1.f64 x) 1/4) (pow.f64 (expm1.f64 x) 3/4)) |
(*.f64 (pow.f64 1 1/3) (expm1.f64 x)) |
(expm1.f64 x) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (expm1.f64 x) (cbrt.f64 (expm1.f64 x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (expm1.f64 x)))) |
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (expm1.f64 x) (cbrt.f64 (expm1.f64 x))) 2)) (cbrt.f64 (cbrt.f64 (expm1.f64 x)))) |
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 4) 2)) (cbrt.f64 (cbrt.f64 (expm1.f64 x)))) |
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 8)) (cbrt.f64 (cbrt.f64 (expm1.f64 x)))) |
(*.f64 (pow.f64 (pow.f64 (expm1.f64 x) 5/2) 1/3) (pow.f64 (expm1.f64 x) 1/6)) |
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 5/2)) (pow.f64 (expm1.f64 x) 1/6)) |
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (expm1.f64 x) (cbrt.f64 (expm1.f64 x))) 2)) (cbrt.f64 (cbrt.f64 (expm1.f64 x)))) |
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 4) 2)) (cbrt.f64 (cbrt.f64 (expm1.f64 x)))) |
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 8)) (cbrt.f64 (cbrt.f64 (expm1.f64 x)))) |
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 5/2)) (pow.f64 (expm1.f64 x) 1/6)) |
(*.f64 (sqrt.f64 (pow.f64 (expm1.f64 x) 3/2)) (pow.f64 (expm1.f64 x) 1/4)) |
(*.f64 (pow.f64 (expm1.f64 x) 1/4) (sqrt.f64 (pow.f64 (expm1.f64 x) 3/2))) |
(*.f64 (pow.f64 (expm1.f64 x) 1/4) (pow.f64 (expm1.f64 x) 3/4)) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 5)) (pow.f64 (expm1.f64 x) 1/6)) |
(*.f64 (pow.f64 (expm1.f64 x) 1/6) (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 5))) |
(*.f64 (pow.f64 (expm1.f64 x) 1/6) (pow.f64 (cbrt.f64 (expm1.f64 x)) 5/2)) |
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 1) (+.f64 (exp.f64 x) 1)) |
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (+.f64 (exp.f64 x) 1)) |
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 2)) (+.f64 (exp.f64 x) 1)) |
(/.f64 (expm1.f64 (*.f64 2 x)) (+.f64 (exp.f64 x) 1)) |
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) 1) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (*.f64 (exp.f64 x) 1)))) |
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (+.f64 (+.f64 (pow.f64 (exp.f64 x) 2) 1) (exp.f64 x))) |
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (+.f64 (exp.f64 x) (+.f64 1 (pow.f64 (exp.f64 x) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2)))) |
(pow.f64 (expm1.f64 x) 1) |
(expm1.f64 x) |
(pow.f64 (cbrt.f64 (expm1.f64 x)) 3) |
(expm1.f64 x) |
(pow.f64 (pow.f64 (expm1.f64 x) 2) 1/2) |
(expm1.f64 x) |
(pow.f64 (pow.f64 (expm1.f64 x) 3) 1/3) |
(expm1.f64 x) |
(pow.f64 (sqrt.f64 (expm1.f64 x)) 2) |
(expm1.f64 x) |
(pow.f64 (E.f64) (log.f64 (expm1.f64 x))) |
(expm1.f64 x) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 2)) (cbrt.f64 (log.f64 (expm1.f64 x)))) |
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 x)))) (sqrt.f64 (log.f64 (expm1.f64 x)))) |
(sqrt.f64 (pow.f64 (expm1.f64 x) 2)) |
(expm1.f64 x) |
(log.f64 (exp.f64 (expm1.f64 x))) |
(expm1.f64 x) |
(cbrt.f64 (pow.f64 (expm1.f64 x) 3)) |
(expm1.f64 x) |
(exp.f64 (log.f64 (expm1.f64 x))) |
(expm1.f64 x) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) 3)) |
(expm1.f64 x) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (expm1.f64 x) 3)) 1/3)) |
(expm1.f64 x) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 x))) 2)) |
(expm1.f64 x) |
(log1p.f64 (expm1.f64 (expm1.f64 x))) |
(expm1.f64 x) |
(fma.f64 1 (exp.f64 x) -1) |
(expm1.f64 x) |
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 2)) (cbrt.f64 (exp.f64 x)) -1) |
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) -1) |
(expm1.f64 x) |
(+.f64 0 (/.f64 (expm1.f64 x) x)) |
(/.f64 (expm1.f64 x) x) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x))))) |
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x))))) |
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x))))) |
(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1) |
(/.f64 (expm1.f64 x) x) |
(-.f64 (/.f64 (exp.f64 x) x) (/.f64 1 x)) |
(/.f64 (expm1.f64 x) x) |
(*.f64 (expm1.f64 x) (/.f64 1 x)) |
(/.f64 (expm1.f64 x) x) |
(*.f64 (/.f64 (expm1.f64 x) x) 1) |
(/.f64 (expm1.f64 x) x) |
(*.f64 (/.f64 (expm1.f64 x) x) (log.f64 (E.f64))) |
(/.f64 (expm1.f64 x) x) |
(*.f64 1 (/.f64 (expm1.f64 x) x)) |
(/.f64 (expm1.f64 x) x) |
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (*.f64 (cbrt.f64 (expm1.f64 x)) (/.f64 1 x))) |
(/.f64 (expm1.f64 x) x) |
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2)) |
(/.f64 (expm1.f64 x) x) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (cbrt.f64 (/.f64 (expm1.f64 x) x))) |
(/.f64 (expm1.f64 x) x) |
(*.f64 (sqrt.f64 (expm1.f64 x)) (*.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 1 x))) |
(/.f64 (expm1.f64 x) x) |
(*.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (*.f64 (/.f64 1 x) (/.f64 (expm1.f64 x) x)))) |
(/.f64 (expm1.f64 x) x) |
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 (expm1.f64 x) x))) |
(/.f64 (expm1.f64 x) x) |
(*.f64 (neg.f64 (expm1.f64 x)) (/.f64 1 (neg.f64 x))) |
(/.f64 (expm1.f64 x) x) |
(*.f64 (/.f64 1 x) (expm1.f64 x)) |
(/.f64 (expm1.f64 x) x) |
(*.f64 (/.f64 1 x) (pow.f64 (/.f64 1 (expm1.f64 x)) -1)) |
(/.f64 (expm1.f64 x) x) |
(*.f64 (pow.f64 x -1/2) (/.f64 (expm1.f64 x) (sqrt.f64 x))) |
(*.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 1/4) (sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3/2))) |
(*.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 1/4) (pow.f64 (/.f64 (expm1.f64 x) x) 3/4)) |
(*.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (expm1.f64 x) (cbrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 x)) x)) |
(/.f64 (expm1.f64 x) x) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 x))) |
(/.f64 (expm1.f64 x) x) |
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) (/.f64 (sqrt.f64 (expm1.f64 x)) x)) |
(/.f64 (expm1.f64 x) x) |
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 x))) |
(*.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (expm1.f64 x) (cbrt.f64 x))) |
(*.f64 (pow.f64 1 1/3) (/.f64 (expm1.f64 x) x)) |
(/.f64 (expm1.f64 x) x) |
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (expm1.f64 x)) 1/3) (cbrt.f64 (/.f64 1 x))) |
(*.f64 (cbrt.f64 (*.f64 (expm1.f64 x) (pow.f64 (/.f64 (expm1.f64 x) x) 2))) (cbrt.f64 (/.f64 1 x))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 (expm1.f64 x) x) (cbrt.f64 (/.f64 (expm1.f64 x) x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)))) |
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 (expm1.f64 x) x) (cbrt.f64 (/.f64 (expm1.f64 x) x))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)))) |
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 4) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)))) |
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 8)) (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 5/2) 1/3) (pow.f64 (/.f64 (expm1.f64 x) x) 1/6)) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 5/2)) (pow.f64 (/.f64 (expm1.f64 x) x) 1/6)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 2) -1) (cbrt.f64 (/.f64 (expm1.f64 x) x))) |
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 2))) |
(/.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 2)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) -2) -1) (pow.f64 (/.f64 x (cbrt.f64 (expm1.f64 x))) -1)) |
(/.f64 (expm1.f64 x) x) |
(*.f64 (pow.f64 (pow.f64 (expm1.f64 x) -1/2) -1) (pow.f64 (/.f64 x (sqrt.f64 (expm1.f64 x))) -1)) |
(*.f64 (/.f64 1 (pow.f64 (expm1.f64 x) -1/2)) (/.f64 1 (/.f64 x (sqrt.f64 (expm1.f64 x))))) |
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x) (/.f64 1 (pow.f64 (expm1.f64 x) -1/2))) |
(/.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x) (pow.f64 (expm1.f64 x) -1/2)) |
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 x) (expm1.f64 x)) -1)) |
(*.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (expm1.f64 x) (cbrt.f64 x))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x 2) (pow.f64 (expm1.f64 x) 2))) -1) (cbrt.f64 (/.f64 (expm1.f64 x) x))) |
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (/.f64 1 (cbrt.f64 (/.f64 (pow.f64 x 2) (pow.f64 (expm1.f64 x) 2))))) |
(/.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (cbrt.f64 (/.f64 (pow.f64 x 2) (pow.f64 (expm1.f64 x) 2)))) |
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (expm1.f64 x))) -1) (pow.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (expm1.f64 x))) -1)) |
(*.f64 (/.f64 1 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (expm1.f64 x)))) (/.f64 1 (/.f64 (cbrt.f64 x) (sqrt.f64 (expm1.f64 x))))) |
(*.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (sqrt.f64 (expm1.f64 x))) (*.f64 (/.f64 1 (cbrt.f64 x)) (sqrt.f64 (expm1.f64 x)))) |
(*.f64 (/.f64 (*.f64 (pow.f64 (cbrt.f64 x) -2) (sqrt.f64 (expm1.f64 x))) (cbrt.f64 x)) (sqrt.f64 (expm1.f64 x))) |
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) 1) -1) (pow.f64 (/.f64 (sqrt.f64 x) (expm1.f64 x)) -1)) |
(/.f64 (expm1.f64 x) x) |
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (expm1.f64 x))) -1)) |
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))) (/.f64 1 (/.f64 (sqrt.f64 x) (cbrt.f64 (expm1.f64 x))))) |
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (*.f64 (/.f64 1 (sqrt.f64 x)) (cbrt.f64 (expm1.f64 x)))) |
(*.f64 (/.f64 (*.f64 (/.f64 1 (sqrt.f64 x)) (cbrt.f64 (expm1.f64 x))) (sqrt.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) |
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (expm1.f64 x))) (cbrt.f64 (/.f64 1 x))) |
(*.f64 (cbrt.f64 (*.f64 (expm1.f64 x) (pow.f64 (/.f64 (expm1.f64 x) x) 2))) (cbrt.f64 (/.f64 1 x))) |
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 (expm1.f64 x) x) (cbrt.f64 (/.f64 (expm1.f64 x) x))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)))) |
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 4) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)))) |
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 8)) (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)))) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 5/2)) (pow.f64 (/.f64 (expm1.f64 x) x) 1/6)) |
(*.f64 (sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3/2)) (pow.f64 (/.f64 (expm1.f64 x) x) 1/4)) |
(*.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 1/4) (sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3/2))) |
(*.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 1/4) (pow.f64 (/.f64 (expm1.f64 x) x) 3/4)) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 (expm1.f64 x) x) (expm1.f64 x))) (pow.f64 x -1/2)) |
(*.f64 (pow.f64 x -1/2) (sqrt.f64 (/.f64 (pow.f64 (expm1.f64 x) 2) x))) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 5)) (pow.f64 (/.f64 (expm1.f64 x) x) 1/6)) |
(*.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 1/6) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 5))) |
(*.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 1/6) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 5/2)) |
(pow.f64 (/.f64 (expm1.f64 x) x) 1) |
(/.f64 (expm1.f64 x) x) |
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 3) |
(/.f64 (expm1.f64 x) x) |
(pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) 1/2) |
(/.f64 (expm1.f64 x) x) |
(pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3) 1/3) |
(/.f64 (expm1.f64 x) x) |
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 2) |
(/.f64 (expm1.f64 x) x) |
(pow.f64 (/.f64 x (expm1.f64 x)) -1) |
(/.f64 (expm1.f64 x) x) |
(pow.f64 (E.f64) (log.f64 (/.f64 (expm1.f64 x) x))) |
(/.f64 (expm1.f64 x) x) |
(pow.f64 (/.f64 (/.f64 x (expm1.f64 x)) 1) -1) |
(/.f64 (expm1.f64 x) x) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (expm1.f64 x) x))) 2)) (cbrt.f64 (log.f64 (/.f64 (expm1.f64 x) x)))) |
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (expm1.f64 x) x)))) (sqrt.f64 (log.f64 (/.f64 (expm1.f64 x) x)))) |
(neg.f64 (/.f64 (expm1.f64 x) (neg.f64 x))) |
(/.f64 (expm1.f64 x) x) |
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2)) |
(/.f64 (expm1.f64 x) x) |
(log.f64 (exp.f64 (/.f64 (expm1.f64 x) x))) |
(/.f64 (expm1.f64 x) x) |
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) |
(/.f64 (expm1.f64 x) x) |
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x))) |
(/.f64 (expm1.f64 x) x) |
(exp.f64 (log.f64 (/.f64 (expm1.f64 x) x))) |
(/.f64 (expm1.f64 x) x) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) 3)) |
(/.f64 (expm1.f64 x) x) |
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (expm1.f64 x) x))) 1/3)) |
(/.f64 (expm1.f64 x) x) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x))) 2)) |
(/.f64 (expm1.f64 x) x) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (expm1.f64 x))) -1)) |
(/.f64 (expm1.f64 x) x) |
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x))) |
(/.f64 (expm1.f64 x) x) |
Compiled 1894 to 930 computations (50.9% saved)
4 alts after pruning (3 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 164 | 3 | 167 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 164 | 4 | 168 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (expm1.f64 x) x) |
| ▶ | 63.9% | (+.f64 1 (*.f64 x (+.f64 (*.f64 x 1/6) 1/2))) |
| ▶ | 52.2% | (+.f64 1 (*.f64 x 1/2)) |
| ▶ | 52.1% | 1 |
Compiled 23 to 18 computations (21.7% saved)
Found 2 expressions with local error:
| New | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (*.f64 x (+.f64 (*.f64 x 1/6) 1/2)) |
| ✓ | 99.5% | (*.f64 x 1/6) |
Compiled 42 to 32 computations (23.8% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (*.f64 x (+.f64 (*.f64 x 1/6) 1/2)) |
| 0.0ms | x | @ | -inf | (*.f64 x (+.f64 (*.f64 x 1/6) 1/2)) |
| 0.0ms | x | @ | 0 | (*.f64 x 1/6) |
| 0.0ms | x | @ | -inf | (*.f64 x 1/6) |
| 0.0ms | x | @ | inf | (*.f64 x 1/6) |
| 1× | batch-egg-rewrite |
| 814× | unpow-prod-down |
| 626× | prod-diff |
| 546× | log-prod |
| 527× | log1p-expm1-u |
| 527× | expm1-log1p-u |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 31 |
| 1 | 109 | 31 |
| 2 | 1471 | 31 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 x 1/6) |
(*.f64 x (+.f64 (*.f64 x 1/6) 1/2)) |
| Outputs |
|---|
(+.f64 (*.f64 x 1/12) (*.f64 x 1/12)) |
(+.f64 0 (*.f64 x 1/6)) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 1/6)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 1/6)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 1/6))) 1) |
(pow.f64 (*.f64 x 1/6) 1) |
(pow.f64 (cbrt.f64 (*.f64 x 1/6)) 3) |
(pow.f64 (*.f64 (pow.f64 x 2) 1/36) 1/2) |
(pow.f64 (*.f64 (pow.f64 x 3) 1/216) 1/3) |
(pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2) |
(pow.f64 (exp.f64 1) (log.f64 (*.f64 x 1/6))) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x 1/6))) 2)) (cbrt.f64 (log.f64 (*.f64 x 1/6)))) |
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x 1/6)))) (sqrt.f64 (log.f64 (*.f64 x 1/6)))) |
(sqrt.f64 (*.f64 (pow.f64 x 2) 1/36)) |
(log.f64 (pow.f64 (exp.f64 x) 1/6)) |
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/216)) |
(expm1.f64 (log1p.f64 (*.f64 x 1/6))) |
(exp.f64 (log.f64 (*.f64 x 1/6))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x 1/6)) 1)) |
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x 1/6)) 1) 1)) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x 1/6))) 3)) |
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x 1/6)) 3) 1/3)) |
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x 1/6))) 1/3)) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x 1/6))) 2)) |
(log1p.f64 (expm1.f64 (*.f64 x 1/6))) |
(+.f64 (*.f64 x 1/2) (*.f64 1/6 (pow.f64 x 2))) |
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 x 1/2)) |
(+.f64 0 (*.f64 x (fma.f64 x 1/6 1/2))) |
(+.f64 (*.f64 (*.f64 1/6 (pow.f64 x 2)) 1) (*.f64 (*.f64 x 1/2) 1)) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x 1/6 1/2)) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x 1/6 1/2)) x)))) |
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x 1/6 1/2)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x 1/6 1/2)) x)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/6 1/2)))) 1) |
(/.f64 (+.f64 (*.f64 1/216 (pow.f64 x 6)) (pow.f64 (*.f64 x 1/2) 3)) (+.f64 (pow.f64 (*.f64 1/6 (pow.f64 x 2)) 2) (-.f64 (pow.f64 (*.f64 x 1/2) 2) (*.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 x 1/2))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 1/6 (pow.f64 x 2)) 2) (pow.f64 (*.f64 x 1/2) 2)) (-.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 x 1/2))) |
(/.f64 (*.f64 x (fma.f64 (pow.f64 x 3) 1/216 1/8)) (-.f64 (fma.f64 (pow.f64 x 2) 1/36 1/4) (*.f64 x 1/12))) |
(/.f64 (*.f64 x (fma.f64 (pow.f64 x 2) 1/36 -1/4)) (fma.f64 x 1/6 -1/2)) |
(/.f64 (*.f64 (fma.f64 (pow.f64 x 3) 1/216 1/8) x) (-.f64 (fma.f64 (pow.f64 x 2) 1/36 1/4) (*.f64 x 1/12))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 x 2) 1/36 -1/4) x) (fma.f64 x 1/6 -1/2)) |
(pow.f64 (*.f64 x (fma.f64 x 1/6 1/2)) 1) |
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 1/6 1/2))) 3) |
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x 1/6 1/2)) 2) 1/2) |
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x 1/6 1/2)) 3) 1/3) |
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x 1/6 1/2))) 2) |
(pow.f64 (exp.f64 1) (log.f64 (*.f64 x (fma.f64 x 1/6 1/2)))) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (fma.f64 x 1/6 1/2)))) 2)) (cbrt.f64 (log.f64 (*.f64 x (fma.f64 x 1/6 1/2))))) |
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (fma.f64 x 1/6 1/2))))) (sqrt.f64 (log.f64 (*.f64 x (fma.f64 x 1/6 1/2))))) |
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/6 1/2)) 2)) |
(log.f64 (pow.f64 (exp.f64 (fma.f64 x 1/6 1/2)) x)) |
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/6 1/2)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/6 1/2)))) |
(exp.f64 (log.f64 (*.f64 x (fma.f64 x 1/6 1/2)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x 1/6 1/2))) 1)) |
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x 1/6 1/2))) 1) 1)) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (fma.f64 x 1/6 1/2)))) 3)) |
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x (fma.f64 x 1/6 1/2)))) 1/3)) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (fma.f64 x 1/6 1/2)))) 2)) |
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (fma.f64 x 1/6 1/2)) 1))) |
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (fma.f64 x 1/6 1/2)))) |
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (*.f64 (log.f64 (fma.f64 x 1/6 1/2)) 1))) |
(exp.f64 (+.f64 (log.f64 (fma.f64 x 1/6 1/2)) (*.f64 (log.f64 x) 1))) |
(exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 x 1/6 1/2)) 1) (log.f64 x))) |
(exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 x 1/6 1/2)) 1) (*.f64 (log.f64 x) 1))) |
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x 1/6 1/2)))) |
(fma.f64 x (*.f64 x 1/6) (*.f64 x 1/2)) |
(fma.f64 x 1/2 (*.f64 1/6 (pow.f64 x 2))) |
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2)) |
(fma.f64 (*.f64 x 1/6) x (*.f64 x 1/2)) |
(fma.f64 1/2 x (*.f64 1/6 (pow.f64 x 2))) |
(fma.f64 1 (*.f64 x 1/2) (*.f64 1/6 (pow.f64 x 2))) |
(fma.f64 1 (*.f64 1/6 (pow.f64 x 2)) (*.f64 x 1/2)) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/6)) 2) (*.f64 (cbrt.f64 (*.f64 x 1/6)) x) (*.f64 x 1/2)) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/2) (*.f64 1/6 (pow.f64 x 2))) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x 1/6)) (*.f64 x 1/2)) |
(fma.f64 (pow.f64 x 2) 1/6 (*.f64 x 1/2)) |
(fma.f64 (sqrt.f64 (*.f64 x 1/6)) (*.f64 (sqrt.f64 (*.f64 x 1/6)) x) (*.f64 x 1/2)) |
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/2) (*.f64 1/6 (pow.f64 x 2))) |
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x 1/6)) (*.f64 x 1/2)) |
(fma.f64 (*.f64 1/6 (pow.f64 x 2)) 1 (*.f64 (*.f64 x 1/2) 1)) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) (cbrt.f64 (*.f64 x 1/2)) (*.f64 1/6 (pow.f64 x 2))) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/6 (pow.f64 x 2))) 2) (cbrt.f64 (*.f64 1/6 (pow.f64 x 2))) (*.f64 x 1/2)) |
(fma.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2)) (*.f64 1/6 (pow.f64 x 2))) |
(fma.f64 (sqrt.f64 (*.f64 1/6 (pow.f64 x 2))) (sqrt.f64 (*.f64 1/6 (pow.f64 x 2))) (*.f64 x 1/2)) |
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 1/6 (pow.f64 x 2))) |
(fma.f64 (*.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 1/6 (pow.f64 x 2))) |
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (*.f64 x 1/6)) 2)) (cbrt.f64 (*.f64 x 1/6)) (*.f64 x 1/2)) |
(fma.f64 (*.f64 x (sqrt.f64 (*.f64 x 1/6))) (sqrt.f64 (*.f64 x 1/6)) (*.f64 x 1/2)) |
(fma.f64 (*.f64 (*.f64 x 1/6) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x 1/2)) |
(fma.f64 (*.f64 (*.f64 x 1/6) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x 1/2)) |
| 1× | egg-herbie |
| 1380× | fma-def |
| 624× | distribute-lft-in |
| 584× | distribute-rgt-in |
| 570× | fma-neg |
| 566× | log-prod |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 233 | 2875 |
| 1 | 539 | 2419 |
| 2 | 1493 | 2379 |
| 3 | 5976 | 2379 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/6 x) |
(*.f64 1/6 x) |
(*.f64 1/6 x) |
(*.f64 1/6 x) |
(*.f64 1/6 x) |
(*.f64 1/6 x) |
(*.f64 1/6 x) |
(*.f64 1/6 x) |
(*.f64 1/6 x) |
(*.f64 1/6 x) |
(*.f64 1/6 x) |
(*.f64 1/6 x) |
(*.f64 1/2 x) |
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 1/2 x)) |
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 1/2 x)) |
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 1/2 x)) |
(*.f64 1/6 (pow.f64 x 2)) |
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 1/2 x)) |
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 1/2 x)) |
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 1/2 x)) |
(*.f64 1/6 (pow.f64 x 2)) |
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 1/2 x)) |
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 1/2 x)) |
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 1/2 x)) |
(+.f64 (*.f64 x 1/12) (*.f64 x 1/12)) |
(+.f64 0 (*.f64 x 1/6)) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 1/6)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 1/6)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 1/6))) 1) |
(pow.f64 (*.f64 x 1/6) 1) |
(pow.f64 (cbrt.f64 (*.f64 x 1/6)) 3) |
(pow.f64 (*.f64 (pow.f64 x 2) 1/36) 1/2) |
(pow.f64 (*.f64 (pow.f64 x 3) 1/216) 1/3) |
(pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2) |
(pow.f64 (exp.f64 1) (log.f64 (*.f64 x 1/6))) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x 1/6))) 2)) (cbrt.f64 (log.f64 (*.f64 x 1/6)))) |
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x 1/6)))) (sqrt.f64 (log.f64 (*.f64 x 1/6)))) |
(sqrt.f64 (*.f64 (pow.f64 x 2) 1/36)) |
(log.f64 (pow.f64 (exp.f64 x) 1/6)) |
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/216)) |
(expm1.f64 (log1p.f64 (*.f64 x 1/6))) |
(exp.f64 (log.f64 (*.f64 x 1/6))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x 1/6)) 1)) |
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x 1/6)) 1) 1)) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x 1/6))) 3)) |
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x 1/6)) 3) 1/3)) |
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x 1/6))) 1/3)) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x 1/6))) 2)) |
(log1p.f64 (expm1.f64 (*.f64 x 1/6))) |
(+.f64 (*.f64 x 1/2) (*.f64 1/6 (pow.f64 x 2))) |
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 x 1/2)) |
(+.f64 0 (*.f64 x (fma.f64 x 1/6 1/2))) |
(+.f64 (*.f64 (*.f64 1/6 (pow.f64 x 2)) 1) (*.f64 (*.f64 x 1/2) 1)) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x 1/6 1/2)) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x 1/6 1/2)) x)))) |
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x 1/6 1/2)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x 1/6 1/2)) x)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/6 1/2)))) 1) |
(/.f64 (+.f64 (*.f64 1/216 (pow.f64 x 6)) (pow.f64 (*.f64 x 1/2) 3)) (+.f64 (pow.f64 (*.f64 1/6 (pow.f64 x 2)) 2) (-.f64 (pow.f64 (*.f64 x 1/2) 2) (*.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 x 1/2))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 1/6 (pow.f64 x 2)) 2) (pow.f64 (*.f64 x 1/2) 2)) (-.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 x 1/2))) |
(/.f64 (*.f64 x (fma.f64 (pow.f64 x 3) 1/216 1/8)) (-.f64 (fma.f64 (pow.f64 x 2) 1/36 1/4) (*.f64 x 1/12))) |
(/.f64 (*.f64 x (fma.f64 (pow.f64 x 2) 1/36 -1/4)) (fma.f64 x 1/6 -1/2)) |
(/.f64 (*.f64 (fma.f64 (pow.f64 x 3) 1/216 1/8) x) (-.f64 (fma.f64 (pow.f64 x 2) 1/36 1/4) (*.f64 x 1/12))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 x 2) 1/36 -1/4) x) (fma.f64 x 1/6 -1/2)) |
(pow.f64 (*.f64 x (fma.f64 x 1/6 1/2)) 1) |
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 1/6 1/2))) 3) |
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x 1/6 1/2)) 2) 1/2) |
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x 1/6 1/2)) 3) 1/3) |
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x 1/6 1/2))) 2) |
(pow.f64 (exp.f64 1) (log.f64 (*.f64 x (fma.f64 x 1/6 1/2)))) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (fma.f64 x 1/6 1/2)))) 2)) (cbrt.f64 (log.f64 (*.f64 x (fma.f64 x 1/6 1/2))))) |
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (fma.f64 x 1/6 1/2))))) (sqrt.f64 (log.f64 (*.f64 x (fma.f64 x 1/6 1/2))))) |
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/6 1/2)) 2)) |
(log.f64 (pow.f64 (exp.f64 (fma.f64 x 1/6 1/2)) x)) |
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/6 1/2)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/6 1/2)))) |
(exp.f64 (log.f64 (*.f64 x (fma.f64 x 1/6 1/2)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x 1/6 1/2))) 1)) |
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x 1/6 1/2))) 1) 1)) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (fma.f64 x 1/6 1/2)))) 3)) |
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x (fma.f64 x 1/6 1/2)))) 1/3)) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (fma.f64 x 1/6 1/2)))) 2)) |
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (fma.f64 x 1/6 1/2)) 1))) |
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (fma.f64 x 1/6 1/2)))) |
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (*.f64 (log.f64 (fma.f64 x 1/6 1/2)) 1))) |
(exp.f64 (+.f64 (log.f64 (fma.f64 x 1/6 1/2)) (*.f64 (log.f64 x) 1))) |
(exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 x 1/6 1/2)) 1) (log.f64 x))) |
(exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 x 1/6 1/2)) 1) (*.f64 (log.f64 x) 1))) |
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x 1/6 1/2)))) |
(fma.f64 x (*.f64 x 1/6) (*.f64 x 1/2)) |
(fma.f64 x 1/2 (*.f64 1/6 (pow.f64 x 2))) |
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2)) |
(fma.f64 (*.f64 x 1/6) x (*.f64 x 1/2)) |
(fma.f64 1/2 x (*.f64 1/6 (pow.f64 x 2))) |
(fma.f64 1 (*.f64 x 1/2) (*.f64 1/6 (pow.f64 x 2))) |
(fma.f64 1 (*.f64 1/6 (pow.f64 x 2)) (*.f64 x 1/2)) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/6)) 2) (*.f64 (cbrt.f64 (*.f64 x 1/6)) x) (*.f64 x 1/2)) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/2) (*.f64 1/6 (pow.f64 x 2))) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x 1/6)) (*.f64 x 1/2)) |
(fma.f64 (pow.f64 x 2) 1/6 (*.f64 x 1/2)) |
(fma.f64 (sqrt.f64 (*.f64 x 1/6)) (*.f64 (sqrt.f64 (*.f64 x 1/6)) x) (*.f64 x 1/2)) |
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/2) (*.f64 1/6 (pow.f64 x 2))) |
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x 1/6)) (*.f64 x 1/2)) |
(fma.f64 (*.f64 1/6 (pow.f64 x 2)) 1 (*.f64 (*.f64 x 1/2) 1)) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) (cbrt.f64 (*.f64 x 1/2)) (*.f64 1/6 (pow.f64 x 2))) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/6 (pow.f64 x 2))) 2) (cbrt.f64 (*.f64 1/6 (pow.f64 x 2))) (*.f64 x 1/2)) |
(fma.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2)) (*.f64 1/6 (pow.f64 x 2))) |
(fma.f64 (sqrt.f64 (*.f64 1/6 (pow.f64 x 2))) (sqrt.f64 (*.f64 1/6 (pow.f64 x 2))) (*.f64 x 1/2)) |
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 1/6 (pow.f64 x 2))) |
(fma.f64 (*.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 1/6 (pow.f64 x 2))) |
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (*.f64 x 1/6)) 2)) (cbrt.f64 (*.f64 x 1/6)) (*.f64 x 1/2)) |
(fma.f64 (*.f64 x (sqrt.f64 (*.f64 x 1/6))) (sqrt.f64 (*.f64 x 1/6)) (*.f64 x 1/2)) |
(fma.f64 (*.f64 (*.f64 x 1/6) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x 1/2)) |
(fma.f64 (*.f64 (*.f64 x 1/6) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x 1/2)) |
| Outputs |
|---|
(*.f64 1/6 x) |
(*.f64 1/6 x) |
(*.f64 1/6 x) |
(*.f64 1/6 x) |
(*.f64 1/6 x) |
(*.f64 1/6 x) |
(*.f64 1/6 x) |
(*.f64 1/6 x) |
(*.f64 1/6 x) |
(*.f64 1/6 x) |
(*.f64 1/6 x) |
(*.f64 1/6 x) |
(*.f64 1/2 x) |
(*.f64 x 1/2) |
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 1/2 x)) |
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2)) |
(*.f64 x (fma.f64 1/6 x 1/2)) |
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 1/2 x)) |
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2)) |
(*.f64 x (fma.f64 1/6 x 1/2)) |
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 1/2 x)) |
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2)) |
(*.f64 x (fma.f64 1/6 x 1/2)) |
(*.f64 1/6 (pow.f64 x 2)) |
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 1/2 x)) |
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2)) |
(*.f64 x (fma.f64 1/6 x 1/2)) |
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 1/2 x)) |
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2)) |
(*.f64 x (fma.f64 1/6 x 1/2)) |
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 1/2 x)) |
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2)) |
(*.f64 x (fma.f64 1/6 x 1/2)) |
(*.f64 1/6 (pow.f64 x 2)) |
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 1/2 x)) |
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2)) |
(*.f64 x (fma.f64 1/6 x 1/2)) |
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 1/2 x)) |
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2)) |
(*.f64 x (fma.f64 1/6 x 1/2)) |
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 1/2 x)) |
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2)) |
(*.f64 x (fma.f64 1/6 x 1/2)) |
(+.f64 (*.f64 x 1/12) (*.f64 x 1/12)) |
(*.f64 1/6 x) |
(+.f64 0 (*.f64 x 1/6)) |
(*.f64 1/6 x) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 1/6)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 1/6)))) |
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 1/6)))) |
(*.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 1/6))) 3) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 1/6))) 1) |
(*.f64 1/6 x) |
(pow.f64 (*.f64 x 1/6) 1) |
(*.f64 1/6 x) |
(pow.f64 (cbrt.f64 (*.f64 x 1/6)) 3) |
(*.f64 1/6 x) |
(pow.f64 (*.f64 (pow.f64 x 2) 1/36) 1/2) |
(sqrt.f64 (*.f64 (pow.f64 x 2) 1/36)) |
(pow.f64 (*.f64 (pow.f64 x 3) 1/216) 1/3) |
(*.f64 1/6 x) |
(pow.f64 (sqrt.f64 (*.f64 x 1/6)) 2) |
(*.f64 1/6 x) |
(pow.f64 (exp.f64 1) (log.f64 (*.f64 x 1/6))) |
(*.f64 1/6 x) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x 1/6))) 2)) (cbrt.f64 (log.f64 (*.f64 x 1/6)))) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 1/6 x))) 2)) (cbrt.f64 (log.f64 (*.f64 1/6 x)))) |
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x 1/6)))) (sqrt.f64 (log.f64 (*.f64 x 1/6)))) |
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 1/6 x)))) (sqrt.f64 (log.f64 (*.f64 1/6 x)))) |
(sqrt.f64 (*.f64 (pow.f64 x 2) 1/36)) |
(log.f64 (pow.f64 (exp.f64 x) 1/6)) |
(*.f64 1/6 x) |
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/216)) |
(*.f64 1/6 x) |
(expm1.f64 (log1p.f64 (*.f64 x 1/6))) |
(*.f64 1/6 x) |
(exp.f64 (log.f64 (*.f64 x 1/6))) |
(*.f64 1/6 x) |
(exp.f64 (*.f64 (log.f64 (*.f64 x 1/6)) 1)) |
(*.f64 1/6 x) |
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x 1/6)) 1) 1)) |
(*.f64 1/6 x) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x 1/6))) 3)) |
(*.f64 1/6 x) |
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x 1/6)) 3) 1/3)) |
(*.f64 1/6 x) |
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x 1/6))) 1/3)) |
(*.f64 1/6 x) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x 1/6))) 2)) |
(*.f64 1/6 x) |
(log1p.f64 (expm1.f64 (*.f64 x 1/6))) |
(*.f64 1/6 x) |
(+.f64 (*.f64 x 1/2) (*.f64 1/6 (pow.f64 x 2))) |
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2)) |
(*.f64 x (fma.f64 1/6 x 1/2)) |
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 x 1/2)) |
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2)) |
(*.f64 x (fma.f64 1/6 x 1/2)) |
(+.f64 0 (*.f64 x (fma.f64 x 1/6 1/2))) |
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2)) |
(*.f64 x (fma.f64 1/6 x 1/2)) |
(+.f64 (*.f64 (*.f64 1/6 (pow.f64 x 2)) 1) (*.f64 (*.f64 x 1/2) 1)) |
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2)) |
(*.f64 x (fma.f64 1/6 x 1/2)) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x 1/6 1/2)) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x 1/6 1/2)) x)))) |
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 1/6 x 1/2)) x)))) |
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x 1/6 1/2)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x 1/6 1/2)) x)))) |
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2)) |
(*.f64 x (fma.f64 1/6 x 1/2)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/6 1/2)))) 1) |
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2)) |
(*.f64 x (fma.f64 1/6 x 1/2)) |
(/.f64 (+.f64 (*.f64 1/216 (pow.f64 x 6)) (pow.f64 (*.f64 x 1/2) 3)) (+.f64 (pow.f64 (*.f64 1/6 (pow.f64 x 2)) 2) (-.f64 (pow.f64 (*.f64 x 1/2) 2) (*.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 x 1/2))))) |
(/.f64 (fma.f64 1/216 (pow.f64 x 6) (*.f64 (pow.f64 x 3) 1/8)) (+.f64 (pow.f64 (*.f64 1/6 (pow.f64 x 2)) 2) (-.f64 (pow.f64 (*.f64 x 1/2) 2) (*.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 x 1/2))))) |
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (*.f64 1/216 (pow.f64 x 6))) (+.f64 (*.f64 (pow.f64 x 2) 1/4) (+.f64 (*.f64 (*.f64 1/6 (pow.f64 x 3)) -1/2) (pow.f64 (*.f64 1/6 (pow.f64 x 2)) 2)))) |
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (*.f64 1/216 (pow.f64 x 6))) (fma.f64 1/36 (pow.f64 x 4) (*.f64 (pow.f64 x 2) (-.f64 1/4 (*.f64 1/6 (*.f64 x 1/2)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 1/6 (pow.f64 x 2)) 2) (pow.f64 (*.f64 x 1/2) 2)) (-.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 x 1/2))) |
(/.f64 (-.f64 (pow.f64 (*.f64 1/6 (pow.f64 x 2)) 2) (*.f64 (pow.f64 x 2) 1/4)) (fma.f64 1/6 (pow.f64 x 2) (*.f64 x -1/2))) |
(/.f64 (fma.f64 1/36 (pow.f64 x 4) (*.f64 (pow.f64 x 2) -1/4)) (*.f64 x (fma.f64 1/6 x -1/2))) |
(/.f64 (*.f64 x (fma.f64 (pow.f64 x 3) 1/216 1/8)) (-.f64 (fma.f64 (pow.f64 x 2) 1/36 1/4) (*.f64 x 1/12))) |
(/.f64 (fma.f64 (pow.f64 x 3) 1/216 1/8) (/.f64 (-.f64 (fma.f64 (pow.f64 x 2) 1/36 1/4) (*.f64 x 1/12)) x)) |
(*.f64 (/.f64 x (+.f64 (fma.f64 (pow.f64 x 2) 1/36 1/4) (*.f64 x -1/12))) (fma.f64 (pow.f64 x 3) 1/216 1/8)) |
(*.f64 x (/.f64 (fma.f64 (pow.f64 x 3) 1/216 1/8) (fma.f64 x -1/12 (fma.f64 (pow.f64 x 2) 1/36 1/4)))) |
(/.f64 (*.f64 x (fma.f64 (pow.f64 x 2) 1/36 -1/4)) (fma.f64 x 1/6 -1/2)) |
(/.f64 (fma.f64 (pow.f64 x 2) 1/36 -1/4) (/.f64 (fma.f64 x 1/6 -1/2) x)) |
(*.f64 (/.f64 x (fma.f64 1/6 x -1/2)) (fma.f64 (pow.f64 x 2) 1/36 -1/4)) |
(*.f64 x (/.f64 (fma.f64 (pow.f64 x 2) 1/36 -1/4) (fma.f64 1/6 x -1/2))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 x 3) 1/216 1/8) x) (-.f64 (fma.f64 (pow.f64 x 2) 1/36 1/4) (*.f64 x 1/12))) |
(/.f64 (fma.f64 (pow.f64 x 3) 1/216 1/8) (/.f64 (-.f64 (fma.f64 (pow.f64 x 2) 1/36 1/4) (*.f64 x 1/12)) x)) |
(*.f64 (/.f64 x (+.f64 (fma.f64 (pow.f64 x 2) 1/36 1/4) (*.f64 x -1/12))) (fma.f64 (pow.f64 x 3) 1/216 1/8)) |
(*.f64 x (/.f64 (fma.f64 (pow.f64 x 3) 1/216 1/8) (fma.f64 x -1/12 (fma.f64 (pow.f64 x 2) 1/36 1/4)))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 x 2) 1/36 -1/4) x) (fma.f64 x 1/6 -1/2)) |
(/.f64 (fma.f64 (pow.f64 x 2) 1/36 -1/4) (/.f64 (fma.f64 x 1/6 -1/2) x)) |
(*.f64 (/.f64 x (fma.f64 1/6 x -1/2)) (fma.f64 (pow.f64 x 2) 1/36 -1/4)) |
(*.f64 x (/.f64 (fma.f64 (pow.f64 x 2) 1/36 -1/4) (fma.f64 1/6 x -1/2))) |
(pow.f64 (*.f64 x (fma.f64 x 1/6 1/2)) 1) |
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2)) |
(*.f64 x (fma.f64 1/6 x 1/2)) |
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 1/6 1/2))) 3) |
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2)) |
(*.f64 x (fma.f64 1/6 x 1/2)) |
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x 1/6 1/2)) 2) 1/2) |
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2)) |
(*.f64 x (fma.f64 1/6 x 1/2)) |
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x 1/6 1/2)) 3) 1/3) |
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2)) |
(*.f64 x (fma.f64 1/6 x 1/2)) |
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x 1/6 1/2))) 2) |
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2)) |
(*.f64 x (fma.f64 1/6 x 1/2)) |
(pow.f64 (exp.f64 1) (log.f64 (*.f64 x (fma.f64 x 1/6 1/2)))) |
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2)) |
(*.f64 x (fma.f64 1/6 x 1/2)) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (fma.f64 x 1/6 1/2)))) 2)) (cbrt.f64 (log.f64 (*.f64 x (fma.f64 x 1/6 1/2))))) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (fma.f64 1/6 x 1/2)))) 2)) (cbrt.f64 (log.f64 (*.f64 x (fma.f64 1/6 x 1/2))))) |
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (fma.f64 x 1/6 1/2))))) (sqrt.f64 (log.f64 (*.f64 x (fma.f64 x 1/6 1/2))))) |
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (fma.f64 1/6 x 1/2))))) (sqrt.f64 (log.f64 (*.f64 x (fma.f64 1/6 x 1/2))))) |
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/6 1/2)) 2)) |
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2)) |
(*.f64 x (fma.f64 1/6 x 1/2)) |
(log.f64 (pow.f64 (exp.f64 (fma.f64 x 1/6 1/2)) x)) |
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2)) |
(*.f64 x (fma.f64 1/6 x 1/2)) |
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/6 1/2)) 3)) |
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2)) |
(*.f64 x (fma.f64 1/6 x 1/2)) |
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/6 1/2)))) |
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2)) |
(*.f64 x (fma.f64 1/6 x 1/2)) |
(exp.f64 (log.f64 (*.f64 x (fma.f64 x 1/6 1/2)))) |
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2)) |
(*.f64 x (fma.f64 1/6 x 1/2)) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x 1/6 1/2))) 1)) |
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2)) |
(*.f64 x (fma.f64 1/6 x 1/2)) |
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x 1/6 1/2))) 1) 1)) |
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2)) |
(*.f64 x (fma.f64 1/6 x 1/2)) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (fma.f64 x 1/6 1/2)))) 3)) |
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2)) |
(*.f64 x (fma.f64 1/6 x 1/2)) |
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x (fma.f64 x 1/6 1/2)))) 1/3)) |
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2)) |
(*.f64 x (fma.f64 1/6 x 1/2)) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (fma.f64 x 1/6 1/2)))) 2)) |
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2)) |
(*.f64 x (fma.f64 1/6 x 1/2)) |
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (fma.f64 x 1/6 1/2)) 1))) |
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2)) |
(*.f64 x (fma.f64 1/6 x 1/2)) |
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (fma.f64 x 1/6 1/2)))) |
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2)) |
(*.f64 x (fma.f64 1/6 x 1/2)) |
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (*.f64 (log.f64 (fma.f64 x 1/6 1/2)) 1))) |
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2)) |
(*.f64 x (fma.f64 1/6 x 1/2)) |
(exp.f64 (+.f64 (log.f64 (fma.f64 x 1/6 1/2)) (*.f64 (log.f64 x) 1))) |
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2)) |
(*.f64 x (fma.f64 1/6 x 1/2)) |
(exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 x 1/6 1/2)) 1) (log.f64 x))) |
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2)) |
(*.f64 x (fma.f64 1/6 x 1/2)) |
(exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 x 1/6 1/2)) 1) (*.f64 (log.f64 x) 1))) |
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2)) |
(*.f64 x (fma.f64 1/6 x 1/2)) |
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x 1/6 1/2)))) |
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2)) |
(*.f64 x (fma.f64 1/6 x 1/2)) |
(fma.f64 x (*.f64 x 1/6) (*.f64 x 1/2)) |
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2)) |
(*.f64 x (fma.f64 1/6 x 1/2)) |
(fma.f64 x 1/2 (*.f64 1/6 (pow.f64 x 2))) |
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2)) |
(*.f64 x (fma.f64 1/6 x 1/2)) |
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2)) |
(*.f64 x (fma.f64 1/6 x 1/2)) |
(fma.f64 (*.f64 x 1/6) x (*.f64 x 1/2)) |
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2)) |
(*.f64 x (fma.f64 1/6 x 1/2)) |
(fma.f64 1/2 x (*.f64 1/6 (pow.f64 x 2))) |
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2)) |
(*.f64 x (fma.f64 1/6 x 1/2)) |
(fma.f64 1 (*.f64 x 1/2) (*.f64 1/6 (pow.f64 x 2))) |
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2)) |
(*.f64 x (fma.f64 1/6 x 1/2)) |
(fma.f64 1 (*.f64 1/6 (pow.f64 x 2)) (*.f64 x 1/2)) |
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2)) |
(*.f64 x (fma.f64 1/6 x 1/2)) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/6)) 2) (*.f64 (cbrt.f64 (*.f64 x 1/6)) x) (*.f64 x 1/2)) |
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2)) |
(*.f64 x (fma.f64 1/6 x 1/2)) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/2) (*.f64 1/6 (pow.f64 x 2))) |
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2)) |
(*.f64 x (fma.f64 1/6 x 1/2)) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x 1/6)) (*.f64 x 1/2)) |
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2)) |
(*.f64 x (fma.f64 1/6 x 1/2)) |
(fma.f64 (pow.f64 x 2) 1/6 (*.f64 x 1/2)) |
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2)) |
(*.f64 x (fma.f64 1/6 x 1/2)) |
(fma.f64 (sqrt.f64 (*.f64 x 1/6)) (*.f64 (sqrt.f64 (*.f64 x 1/6)) x) (*.f64 x 1/2)) |
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2)) |
(*.f64 x (fma.f64 1/6 x 1/2)) |
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/2) (*.f64 1/6 (pow.f64 x 2))) |
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2)) |
(*.f64 x (fma.f64 1/6 x 1/2)) |
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x 1/6)) (*.f64 x 1/2)) |
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2)) |
(*.f64 x (fma.f64 1/6 x 1/2)) |
(fma.f64 (*.f64 1/6 (pow.f64 x 2)) 1 (*.f64 (*.f64 x 1/2) 1)) |
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2)) |
(*.f64 x (fma.f64 1/6 x 1/2)) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) (cbrt.f64 (*.f64 x 1/2)) (*.f64 1/6 (pow.f64 x 2))) |
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2)) |
(*.f64 x (fma.f64 1/6 x 1/2)) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/6 (pow.f64 x 2))) 2) (cbrt.f64 (*.f64 1/6 (pow.f64 x 2))) (*.f64 x 1/2)) |
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2)) |
(*.f64 x (fma.f64 1/6 x 1/2)) |
(fma.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2)) (*.f64 1/6 (pow.f64 x 2))) |
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2)) |
(*.f64 x (fma.f64 1/6 x 1/2)) |
(fma.f64 (sqrt.f64 (*.f64 1/6 (pow.f64 x 2))) (sqrt.f64 (*.f64 1/6 (pow.f64 x 2))) (*.f64 x 1/2)) |
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2)) |
(*.f64 x (fma.f64 1/6 x 1/2)) |
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 1/6 (pow.f64 x 2))) |
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2)) |
(*.f64 x (fma.f64 1/6 x 1/2)) |
(fma.f64 (*.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 1/6 (pow.f64 x 2))) |
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2)) |
(*.f64 x (fma.f64 1/6 x 1/2)) |
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (*.f64 x 1/6)) 2)) (cbrt.f64 (*.f64 x 1/6)) (*.f64 x 1/2)) |
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2)) |
(*.f64 x (fma.f64 1/6 x 1/2)) |
(fma.f64 (*.f64 x (sqrt.f64 (*.f64 x 1/6))) (sqrt.f64 (*.f64 x 1/6)) (*.f64 x 1/2)) |
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2)) |
(*.f64 x (fma.f64 1/6 x 1/2)) |
(fma.f64 (*.f64 (*.f64 x 1/6) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x 1/2)) |
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2)) |
(*.f64 x (fma.f64 1/6 x 1/2)) |
(fma.f64 (*.f64 (*.f64 x 1/6) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x 1/2)) |
(fma.f64 1/6 (pow.f64 x 2) (*.f64 x 1/2)) |
(*.f64 x (fma.f64 1/6 x 1/2)) |
Compiled 1655 to 1334 computations (19.4% saved)
4 alts after pruning (0 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 111 | 0 | 111 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 3 | 3 |
| Done | 0 | 1 | 1 |
| Total | 111 | 4 | 115 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (expm1.f64 x) x) |
| ✓ | 63.9% | (+.f64 1 (*.f64 x (+.f64 (*.f64 x 1/6) 1/2))) |
| ✓ | 52.2% | (+.f64 1 (*.f64 x 1/2)) |
| ✓ | 52.1% | 1 |
Compiled 49 to 37 computations (24.5% saved)
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 x 1/2)) |
(+.f64 1 (*.f64 x (+.f64 (*.f64 x 1/6) 1/2))) |
(/.f64 (expm1.f64 x) x) |
(/.f64 (-.f64 (exp.f64 x) 1) x) |
| Outputs |
|---|
(/.f64 (expm1.f64 x) x) |
2 calls:
| 4.0ms | x |
| 2.0ms | (/.f64 (-.f64 (exp.f64 x) 1) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | (/.f64 (-.f64 (exp.f64 x) 1) x) |
Compiled 9 to 6 computations (33.3% saved)
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 x 1/2)) |
(+.f64 1 (*.f64 x (+.f64 (*.f64 x 1/6) 1/2))) |
| Outputs |
|---|
(+.f64 1 (*.f64 x (+.f64 (*.f64 x 1/6) 1/2))) |
1 calls:
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.9% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 x 1/2)) |
| Outputs |
|---|
(+.f64 1 (*.f64 x 1/2)) |
1 calls:
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.2% | 1 | x |
Compiled 2 to 1 computations (50% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
1 |
| Outputs |
|---|
1 |
1 calls:
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.1% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| 1× | egg-herbie |
| 6× | +-commutative |
| 6× | *-commutative |
| 3× | 1-exp |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 65 |
| 1 | 28 | 65 |
| 1× | done |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (expm1.f64 x) x) |
(+.f64 1 (*.f64 x (+.f64 (*.f64 x 1/6) 1/2))) |
(+.f64 1 (*.f64 x 1/2)) |
1 |
| Outputs |
|---|
(/.f64 (expm1.f64 x) x) |
(+.f64 1 (*.f64 x (+.f64 (*.f64 x 1/6) 1/2))) |
(+.f64 1 (*.f64 x 1/2)) |
1 |
Compiled 23 to 18 computations (21.7% saved)
| 1782× | div-sub |
| 1636× | fma-neg |
| 1636× | fma-neg |
| 1494× | fma-neg |
| 1012× | times-frac |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 88 |
| 1 | 39 | 88 |
| 2 | 68 | 86 |
| 3 | 147 | 80 |
| 4 | 384 | 80 |
| 5 | 1036 | 80 |
| 6 | 4095 | 80 |
| 7 | 7627 | 80 |
| 0 | 312 | 3254 |
| 1 | 694 | 3135 |
| 2 | 2801 | 3037 |
| 3 | 7514 | 3037 |
| 0 | 312 | 3254 |
| 1 | 694 | 3135 |
| 2 | 2801 | 3037 |
| 3 | 7514 | 3037 |
| 1× | node limit |
| 1× | node limit |
| 1× | node limit |
Compiled 87 to 66 computations (24.1% saved)
Compiled 100 to 70 computations (30% saved)
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