Diagrams.TwoD.Ellipse:ellipse from diagrams-lib-1.3.0.3
Time bar (total: 1.9s)
| 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 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 2 |
| 0% | 0% | 50% | 0% | 0% | 50% | 0% | 3 |
| 50% | 25% | 25% | 0% | 0% | 50% | 0% | 4 |
| 75% | 37.5% | 12.5% | 0% | 0% | 50% | 0% | 5 |
| 87.5% | 43.7% | 6.2% | 0% | 0% | 50% | 0% | 6 |
| 93.8% | 46.9% | 3.1% | 0% | 0% | 50% | 0% | 7 |
| 96.9% | 48.4% | 1.6% | 0% | 0% | 50% | 0% | 8 |
| 98.4% | 49.2% | 0.8% | 0% | 0% | 50% | 0% | 9 |
| 99.2% | 49.6% | 0.4% | 0% | 0% | 50% | 0% | 10 |
| 99.6% | 49.8% | 0.2% | 0% | 0% | 50% | 0% | 11 |
| 99.8% | 49.9% | 0.1% | 0% | 0% | 50% | 0% | 12 |
Compiled 8 to 6 computations (25% saved)
| 909.0ms | 8256× | body | 256 | valid |
| 0.0ms | 4× | body | 256 | invalid |
| 1× | egg-herbie |
| 1658× | fma-def |
| 1214× | sub-neg |
| 1142× | distribute-lft-out |
| 856× | associate-+r+ |
| 722× | *-commutative |
| 256× | No Errors |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 96 |
| 1 | 33 | 96 |
| 2 | 53 | 96 |
| 3 | 99 | 96 |
| 4 | 146 | 96 |
| 5 | 231 | 96 |
| 6 | 364 | 96 |
| 7 | 638 | 96 |
| 8 | 1246 | 96 |
| 9 | 2137 | 96 |
| 10 | 4785 | 96 |
| 11 | 6480 | 96 |
| 12 | 7250 | 96 |
| 13 | 7548 | 96 |
| 14 | 7604 | 96 |
| 15 | 7636 | 96 |
| 16 | 7893 | 96 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (-.f64 1 (*.f64 x x))) |
(sqrt.f64 (-.f64 1 (*.f64 x x))) |
(sqrt.f64 (-.f64 1 (*.f64 (neg.f64 x) (neg.f64 x)))) |
(neg.f64 (sqrt.f64 (-.f64 1 (*.f64 (neg.f64 x) (neg.f64 x))))) |
| Outputs |
|---|
(sqrt.f64 (-.f64 1 (*.f64 x x))) |
(sqrt.f64 (neg.f64 (fma.f64 x x -1))) |
(sqrt.f64 (-.f64 1 (*.f64 x x))) |
(sqrt.f64 (neg.f64 (fma.f64 x x -1))) |
(sqrt.f64 (-.f64 1 (*.f64 (neg.f64 x) (neg.f64 x)))) |
(sqrt.f64 (-.f64 1 (*.f64 x x))) |
(sqrt.f64 (neg.f64 (fma.f64 x x -1))) |
(neg.f64 (sqrt.f64 (-.f64 1 (*.f64 (neg.f64 x) (neg.f64 x))))) |
(neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) |
(neg.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) |
(abs x)
Compiled 25 to 14 computations (44% saved)
Compiled 7 to 5 computations (28.6% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (sqrt.f64 (-.f64 1 (*.f64 x x))) |
| ▶ | 100.0% | (sqrt.f64 (-.f64 1 (*.f64 x x))) |
Compiled 14 to 10 computations (28.6% saved)
Found 1 expressions with local error:
| New | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (sqrt.f64 (-.f64 1 (*.f64 x x))) |
Compiled 18 to 9 computations (50% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (sqrt.f64 (-.f64 1 (*.f64 x x))) |
| 0.0ms | x | @ | 0 | (sqrt.f64 (-.f64 1 (*.f64 x x))) |
| 0.0ms | x | @ | -inf | (sqrt.f64 (-.f64 1 (*.f64 x x))) |
| 1× | batch-egg-rewrite |
| 620× | unpow-prod-down |
| 410× | log1p-expm1-u |
| 410× | expm1-log1p-u |
| 404× | log-prod |
| 388× | cbrt-prod |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 20 |
| 1 | 103 | 20 |
| 2 | 1199 | 20 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (-.f64 1 (*.f64 x x))) |
| Outputs |
|---|
(+.f64 0 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))) |
(-.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) 1) |
(*.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) |
(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) 1) |
(*.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2))) (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/6)) |
(*.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/6) (cbrt.f64 (-.f64 1 (pow.f64 x 2)))) |
(*.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/4) (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/4)) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2)))) 2) (pow.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 5/6) 1/3)) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2)))) 2) (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 5/6))) |
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2))) 4)) (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/6))) |
(*.f64 (sqrt.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/4)) (pow.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 3/4) 1/2)) |
(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) (pow.f64 (/.f64 1 (fma.f64 x x 1)) 1/2)) |
(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 6))) (pow.f64 (/.f64 1 (+.f64 1 (fma.f64 x x (pow.f64 x 4)))) 1/2)) |
(*.f64 (pow.f64 1 1/3) (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 3/4) 1/2) (sqrt.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/4))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 5/6) 1/2) (sqrt.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/6))) |
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/6)) 3) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/6)) 3)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2))) 4) 1/3) (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/6))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 5/4) 1/3) (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/4))) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 5/4)) (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/4))) |
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) (hypot.f64 1 x)) |
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 6))) (hypot.f64 1 (hypot.f64 x (pow.f64 x 2)))) |
(/.f64 (cbrt.f64 (*.f64 (-.f64 1 (pow.f64 x 6)) (sqrt.f64 (-.f64 1 (pow.f64 x 2))))) (cbrt.f64 (+.f64 1 (fma.f64 x x (pow.f64 x 4))))) |
(/.f64 (cbrt.f64 (*.f64 (-.f64 1 (pow.f64 x 4)) (sqrt.f64 (-.f64 1 (pow.f64 x 2))))) (cbrt.f64 (fma.f64 x x 1))) |
(pow.f64 (-.f64 1 (pow.f64 x 2)) 1/2) |
(pow.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) 1) |
(pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2))) 3/2) |
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/6) 3) |
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 2) 1/4) |
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 3) 1/6) |
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 3/2) 1/3) |
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/4) 2) |
(pow.f64 (E.f64) (*.f64 1/2 (log1p.f64 (neg.f64 (pow.f64 x 2))))) |
(pow.f64 (exp.f64 1/2) (log1p.f64 (neg.f64 (pow.f64 x 2)))) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (log1p.f64 (neg.f64 (pow.f64 x 2))))) 2)) (cbrt.f64 (*.f64 1/2 (log1p.f64 (neg.f64 (pow.f64 x 2)))))) |
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 1/2 (log1p.f64 (neg.f64 (pow.f64 x 2)))))) (sqrt.f64 (*.f64 1/2 (log1p.f64 (neg.f64 (pow.f64 x 2)))))) |
(fabs.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) |
(log.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))) |
(cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 3/2)) |
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))) |
(hypot.f64 1 (sqrt.f64 (neg.f64 (pow.f64 x 2)))) |
(exp.f64 (*.f64 1/2 (log1p.f64 (neg.f64 (pow.f64 x 2))))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/6)) 3)) |
(exp.f64 (*.f64 (*.f64 3/2 (log1p.f64 (neg.f64 (pow.f64 x 2)))) 1/3)) |
(exp.f64 (*.f64 (*.f64 1/4 (log1p.f64 (neg.f64 (pow.f64 x 2)))) 2)) |
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))) |
| 1× | egg-herbie |
| 1070× | distribute-lft-in |
| 978× | distribute-rgt-in |
| 702× | fma-def |
| 606× | fma-neg |
| 594× | associate-*r* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 188 | 2319 |
| 1 | 433 | 2270 |
| 2 | 1114 | 2210 |
| 3 | 3795 | 2210 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 4)))) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (*.f64 -1/16 (pow.f64 x 6))))) |
(*.f64 x (sqrt.f64 -1)) |
(+.f64 (*.f64 x (sqrt.f64 -1)) (*.f64 1/2 (/.f64 1 (*.f64 x (sqrt.f64 -1))))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 x (sqrt.f64 -1)))) (*.f64 x (sqrt.f64 -1))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))))) |
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 x (sqrt.f64 -1)))) (*.f64 x (sqrt.f64 -1)))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))))) |
(*.f64 -1 (*.f64 x (sqrt.f64 -1))) |
(-.f64 (*.f64 -1 (*.f64 x (sqrt.f64 -1))) (*.f64 1/2 (/.f64 1 (*.f64 x (sqrt.f64 -1))))) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 x (sqrt.f64 -1))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))))) (*.f64 1/2 (/.f64 1 (*.f64 x (sqrt.f64 -1))))) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 x (sqrt.f64 -1))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))))) (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)))) (*.f64 1/2 (/.f64 1 (*.f64 x (sqrt.f64 -1)))))) |
(+.f64 0 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))) |
(-.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) 1) |
(*.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) |
(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) 1) |
(*.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2))) (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/6)) |
(*.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/6) (cbrt.f64 (-.f64 1 (pow.f64 x 2)))) |
(*.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/4) (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/4)) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2)))) 2) (pow.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 5/6) 1/3)) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2)))) 2) (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 5/6))) |
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2))) 4)) (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/6))) |
(*.f64 (sqrt.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/4)) (pow.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 3/4) 1/2)) |
(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) (pow.f64 (/.f64 1 (fma.f64 x x 1)) 1/2)) |
(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 6))) (pow.f64 (/.f64 1 (+.f64 1 (fma.f64 x x (pow.f64 x 4)))) 1/2)) |
(*.f64 (pow.f64 1 1/3) (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 3/4) 1/2) (sqrt.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/4))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 5/6) 1/2) (sqrt.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/6))) |
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/6)) 3) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/6)) 3)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2))) 4) 1/3) (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/6))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 5/4) 1/3) (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/4))) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 5/4)) (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/4))) |
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) (hypot.f64 1 x)) |
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 6))) (hypot.f64 1 (hypot.f64 x (pow.f64 x 2)))) |
(/.f64 (cbrt.f64 (*.f64 (-.f64 1 (pow.f64 x 6)) (sqrt.f64 (-.f64 1 (pow.f64 x 2))))) (cbrt.f64 (+.f64 1 (fma.f64 x x (pow.f64 x 4))))) |
(/.f64 (cbrt.f64 (*.f64 (-.f64 1 (pow.f64 x 4)) (sqrt.f64 (-.f64 1 (pow.f64 x 2))))) (cbrt.f64 (fma.f64 x x 1))) |
(pow.f64 (-.f64 1 (pow.f64 x 2)) 1/2) |
(pow.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) 1) |
(pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2))) 3/2) |
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/6) 3) |
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 2) 1/4) |
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 3) 1/6) |
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 3/2) 1/3) |
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/4) 2) |
(pow.f64 (E.f64) (*.f64 1/2 (log1p.f64 (neg.f64 (pow.f64 x 2))))) |
(pow.f64 (exp.f64 1/2) (log1p.f64 (neg.f64 (pow.f64 x 2)))) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (log1p.f64 (neg.f64 (pow.f64 x 2))))) 2)) (cbrt.f64 (*.f64 1/2 (log1p.f64 (neg.f64 (pow.f64 x 2)))))) |
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 1/2 (log1p.f64 (neg.f64 (pow.f64 x 2)))))) (sqrt.f64 (*.f64 1/2 (log1p.f64 (neg.f64 (pow.f64 x 2)))))) |
(fabs.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) |
(log.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))) |
(cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 3/2)) |
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))) |
(hypot.f64 1 (sqrt.f64 (neg.f64 (pow.f64 x 2)))) |
(exp.f64 (*.f64 1/2 (log1p.f64 (neg.f64 (pow.f64 x 2))))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/6)) 3)) |
(exp.f64 (*.f64 (*.f64 3/2 (log1p.f64 (neg.f64 (pow.f64 x 2)))) 1/3)) |
(exp.f64 (*.f64 (*.f64 1/4 (log1p.f64 (neg.f64 (pow.f64 x 2)))) 2)) |
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(fma.f64 -1/2 (pow.f64 x 2) 1) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 4)))) |
(+.f64 1 (fma.f64 -1/2 (pow.f64 x 2) (*.f64 -1/8 (pow.f64 x 4)))) |
(+.f64 (fma.f64 -1/2 (pow.f64 x 2) 1) (*.f64 -1/8 (pow.f64 x 4))) |
(fma.f64 -1/2 (pow.f64 x 2) (fma.f64 -1/8 (pow.f64 x 4) 1)) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (*.f64 -1/16 (pow.f64 x 6))))) |
(+.f64 1 (fma.f64 -1/2 (pow.f64 x 2) (fma.f64 -1/8 (pow.f64 x 4) (*.f64 -1/16 (pow.f64 x 6))))) |
(+.f64 (fma.f64 -1/2 (pow.f64 x 2) 1) (fma.f64 -1/8 (pow.f64 x 4) (*.f64 -1/16 (pow.f64 x 6)))) |
(*.f64 x (sqrt.f64 -1)) |
(+.f64 (*.f64 x (sqrt.f64 -1)) (*.f64 1/2 (/.f64 1 (*.f64 x (sqrt.f64 -1))))) |
(fma.f64 x (sqrt.f64 -1) (/.f64 1/2 (*.f64 x (sqrt.f64 -1)))) |
(fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 x) (sqrt.f64 -1))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 x (sqrt.f64 -1)))) (*.f64 x (sqrt.f64 -1))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))))) |
(-.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 1/2 (*.f64 x (sqrt.f64 -1)))) (/.f64 1/8 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)))) |
(+.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 x) (sqrt.f64 -1))) (/.f64 -1/8 (*.f64 (pow.f64 x 3) (*.f64 -1 (sqrt.f64 -1))))) |
(+.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 x) (sqrt.f64 -1))) (/.f64 1/8 (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))) |
(+.f64 (/.f64 (/.f64 1/2 x) (sqrt.f64 -1)) (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/8 (sqrt.f64 -1)) (pow.f64 x 3)))) |
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 x (sqrt.f64 -1)))) (*.f64 x (sqrt.f64 -1)))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))))) |
(+.f64 (/.f64 1/16 (*.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5))) (-.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 1/2 (*.f64 x (sqrt.f64 -1)))) (/.f64 1/8 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))))) |
(+.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 x) (sqrt.f64 -1))) (+.f64 (/.f64 1/16 (*.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5))) (/.f64 -1/8 (*.f64 (pow.f64 x 3) (*.f64 -1 (sqrt.f64 -1)))))) |
(+.f64 (+.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 x) (sqrt.f64 -1))) (/.f64 (/.f64 1/16 (pow.f64 (sqrt.f64 -1) 5)) (pow.f64 x 5))) (/.f64 1/8 (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))) |
(+.f64 (+.f64 (/.f64 (/.f64 1/2 x) (sqrt.f64 -1)) (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/8 (sqrt.f64 -1)) (pow.f64 x 3)))) (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) |
(*.f64 -1 (*.f64 x (sqrt.f64 -1))) |
(neg.f64 (*.f64 x (sqrt.f64 -1))) |
(*.f64 (sqrt.f64 -1) (neg.f64 x)) |
(*.f64 x (neg.f64 (sqrt.f64 -1))) |
(-.f64 (*.f64 -1 (*.f64 x (sqrt.f64 -1))) (*.f64 1/2 (/.f64 1 (*.f64 x (sqrt.f64 -1))))) |
(-.f64 (neg.f64 (*.f64 x (sqrt.f64 -1))) (/.f64 1/2 (*.f64 x (sqrt.f64 -1)))) |
(neg.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 x) (sqrt.f64 -1)))) |
(fma.f64 x (neg.f64 (sqrt.f64 -1)) (/.f64 (/.f64 -1/2 x) (sqrt.f64 -1))) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 x (sqrt.f64 -1))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))))) (*.f64 1/2 (/.f64 1 (*.f64 x (sqrt.f64 -1))))) |
(-.f64 (fma.f64 -1 (*.f64 x (sqrt.f64 -1)) (/.f64 1/8 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)))) (/.f64 1/2 (*.f64 x (sqrt.f64 -1)))) |
(+.f64 (/.f64 1/8 (*.f64 (pow.f64 x 3) (*.f64 -1 (sqrt.f64 -1)))) (neg.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 x) (sqrt.f64 -1))))) |
(-.f64 (/.f64 (/.f64 -1/8 (sqrt.f64 -1)) (pow.f64 x 3)) (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 x) (sqrt.f64 -1)))) |
(-.f64 (/.f64 -1/8 (*.f64 (sqrt.f64 -1) (pow.f64 x 3))) (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 x) (sqrt.f64 -1)))) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 x (sqrt.f64 -1))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))))) (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)))) (*.f64 1/2 (/.f64 1 (*.f64 x (sqrt.f64 -1)))))) |
(-.f64 (fma.f64 -1 (*.f64 x (sqrt.f64 -1)) (/.f64 1/8 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)))) (+.f64 (/.f64 1/2 (*.f64 x (sqrt.f64 -1))) (/.f64 1/16 (*.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5))))) |
(-.f64 (+.f64 (/.f64 1/8 (*.f64 (pow.f64 x 3) (*.f64 -1 (sqrt.f64 -1)))) (neg.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 x) (sqrt.f64 -1))))) (/.f64 1/16 (*.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)))) |
(+.f64 (-.f64 (/.f64 (/.f64 -1/8 (sqrt.f64 -1)) (pow.f64 x 3)) (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 x) (sqrt.f64 -1)))) (/.f64 -1/16 (*.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)))) |
(+.f64 (-.f64 (/.f64 -1/8 (*.f64 (sqrt.f64 -1) (pow.f64 x 3))) (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 x) (sqrt.f64 -1)))) (/.f64 (/.f64 -1/16 (pow.f64 x 5)) (pow.f64 (sqrt.f64 -1) 5))) |
(+.f64 0 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) |
(sqrt.f64 (-.f64 1 (pow.f64 x 2))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))) |
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))) |
(sqrt.f64 (-.f64 1 (pow.f64 x 2))) |
(-.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) 1) |
(sqrt.f64 (-.f64 1 (pow.f64 x 2))) |
(*.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) |
(sqrt.f64 (-.f64 1 (pow.f64 x 2))) |
(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) 1) |
(sqrt.f64 (-.f64 1 (pow.f64 x 2))) |
(*.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2))) (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/6)) |
(sqrt.f64 (-.f64 1 (pow.f64 x 2))) |
(*.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/6) (cbrt.f64 (-.f64 1 (pow.f64 x 2)))) |
(sqrt.f64 (-.f64 1 (pow.f64 x 2))) |
(*.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/4) (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/4)) |
(sqrt.f64 (-.f64 1 (pow.f64 x 2))) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2)))) 2) (pow.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 5/6) 1/3)) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2)))) 2) (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 5/6))) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2)))) 2) (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 5/6))) |
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2))) 4)) (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/6))) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/6)) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2))) 4))) |
(*.f64 (sqrt.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/4)) (pow.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 3/4) 1/2)) |
(*.f64 (sqrt.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/4)) (sqrt.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 3/4))) |
(*.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 3/8) (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/8)) |
(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) (pow.f64 (/.f64 1 (fma.f64 x x 1)) 1/2)) |
(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) (sqrt.f64 (/.f64 1 (fma.f64 x x 1)))) |
(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 6))) (pow.f64 (/.f64 1 (+.f64 1 (fma.f64 x x (pow.f64 x 4)))) 1/2)) |
(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (+.f64 1 (fma.f64 x x (pow.f64 x 4)))))) |
(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))) |
(*.f64 (pow.f64 1 1/3) (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) |
(sqrt.f64 (-.f64 1 (pow.f64 x 2))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 3/4) 1/2) (sqrt.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/4))) |
(*.f64 (sqrt.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/4)) (sqrt.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 3/4))) |
(*.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 3/8) (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/8)) |
(*.f64 (pow.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 5/6) 1/2) (sqrt.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/6))) |
(*.f64 (sqrt.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 5/6)) (sqrt.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/6))) |
(*.f64 (fabs.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 5/12)) (sqrt.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/6))) |
(*.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/12) (pow.f64 (-.f64 1 (pow.f64 x 2)) 5/12)) |
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/6)) 3) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/6)) 3)) |
(sqrt.f64 (-.f64 1 (pow.f64 x 2))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2))) 4) 1/3) (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/6))) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/6)) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2))) 4))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 5/4) 1/3) (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/4))) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 5/4)) (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/4))) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 5/4)) (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/4))) |
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) (hypot.f64 1 x)) |
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 6))) (hypot.f64 1 (hypot.f64 x (pow.f64 x 2)))) |
(/.f64 (cbrt.f64 (*.f64 (-.f64 1 (pow.f64 x 6)) (sqrt.f64 (-.f64 1 (pow.f64 x 2))))) (cbrt.f64 (+.f64 1 (fma.f64 x x (pow.f64 x 4))))) |
(/.f64 (cbrt.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (-.f64 1 (pow.f64 x 6)))) (cbrt.f64 (+.f64 1 (fma.f64 x x (pow.f64 x 4))))) |
(/.f64 (cbrt.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (-.f64 1 (pow.f64 x 6)))) (cbrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))) |
(/.f64 (cbrt.f64 (*.f64 (-.f64 1 (pow.f64 x 4)) (sqrt.f64 (-.f64 1 (pow.f64 x 2))))) (cbrt.f64 (fma.f64 x x 1))) |
(/.f64 (cbrt.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (-.f64 1 (pow.f64 x 4)))) (cbrt.f64 (fma.f64 x x 1))) |
(pow.f64 (-.f64 1 (pow.f64 x 2)) 1/2) |
(sqrt.f64 (-.f64 1 (pow.f64 x 2))) |
(pow.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) 1) |
(sqrt.f64 (-.f64 1 (pow.f64 x 2))) |
(pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2))) 3/2) |
(sqrt.f64 (-.f64 1 (pow.f64 x 2))) |
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/6) 3) |
(sqrt.f64 (-.f64 1 (pow.f64 x 2))) |
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 2) 1/4) |
(sqrt.f64 (-.f64 1 (pow.f64 x 2))) |
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 3) 1/6) |
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 3/2) 1/3) |
(sqrt.f64 (-.f64 1 (pow.f64 x 2))) |
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/4) 2) |
(sqrt.f64 (-.f64 1 (pow.f64 x 2))) |
(pow.f64 (E.f64) (*.f64 1/2 (log1p.f64 (neg.f64 (pow.f64 x 2))))) |
(pow.f64 (E.f64) (log.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))) |
(pow.f64 (exp.f64 1/2) (log1p.f64 (neg.f64 (pow.f64 x 2)))) |
(sqrt.f64 (-.f64 1 (pow.f64 x 2))) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (log1p.f64 (neg.f64 (pow.f64 x 2))))) 2)) (cbrt.f64 (*.f64 1/2 (log1p.f64 (neg.f64 (pow.f64 x 2)))))) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))) |
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 1/2 (log1p.f64 (neg.f64 (pow.f64 x 2)))))) (sqrt.f64 (*.f64 1/2 (log1p.f64 (neg.f64 (pow.f64 x 2)))))) |
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))) (sqrt.f64 (log.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))) |
(fabs.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) |
(sqrt.f64 (-.f64 1 (pow.f64 x 2))) |
(log.f64 (exp.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))) |
(sqrt.f64 (-.f64 1 (pow.f64 x 2))) |
(cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 3/2)) |
(sqrt.f64 (-.f64 1 (pow.f64 x 2))) |
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))) |
(sqrt.f64 (-.f64 1 (pow.f64 x 2))) |
(hypot.f64 1 (sqrt.f64 (neg.f64 (pow.f64 x 2)))) |
(exp.f64 (*.f64 1/2 (log1p.f64 (neg.f64 (pow.f64 x 2))))) |
(sqrt.f64 (-.f64 1 (pow.f64 x 2))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/6)) 3)) |
(sqrt.f64 (-.f64 1 (pow.f64 x 2))) |
(exp.f64 (*.f64 (*.f64 3/2 (log1p.f64 (neg.f64 (pow.f64 x 2)))) 1/3)) |
(sqrt.f64 (-.f64 1 (pow.f64 x 2))) |
(exp.f64 (*.f64 (*.f64 1/4 (log1p.f64 (neg.f64 (pow.f64 x 2)))) 2)) |
(sqrt.f64 (-.f64 1 (pow.f64 x 2))) |
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))) |
(sqrt.f64 (-.f64 1 (pow.f64 x 2))) |
Compiled 1668 to 1435 computations (14% saved)
4 alts after pruning (3 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 104 | 3 | 107 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 104 | 4 | 108 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.2% | (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
| ✓ | 100.0% | (sqrt.f64 (-.f64 1 (*.f64 x x))) |
| ▶ | 100.0% | (exp.f64 (*.f64 1/2 (log1p.f64 (neg.f64 (pow.f64 x 2))))) |
| 98.4% | 1 | |
| ▶ | 99.2% | (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
| ✓ | 100.0% | (sqrt.f64 (-.f64 1 (*.f64 x x))) |
| ▶ | 100.0% | (exp.f64 (*.f64 1/2 (log1p.f64 (neg.f64 (pow.f64 x 2))))) |
| 98.4% | 1 |
Compiled 52 to 44 computations (15.4% saved)
Found 3 expressions with local error:
| New | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (*.f64 -1/2 (pow.f64 x 2)) |
| ✓ | 100.0% | (log1p.f64 (neg.f64 (pow.f64 x 2))) |
| ✓ | 100.0% | (*.f64 1/2 (log1p.f64 (neg.f64 (pow.f64 x 2)))) |
Compiled 51 to 41 computations (19.6% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (*.f64 1/2 (log1p.f64 (neg.f64 (pow.f64 x 2)))) |
| 1.0ms | x | @ | inf | (*.f64 1/2 (log1p.f64 (neg.f64 (pow.f64 x 2)))) |
| 0.0ms | x | @ | -inf | (*.f64 1/2 (log1p.f64 (neg.f64 (pow.f64 x 2)))) |
| 0.0ms | x | @ | 0 | (*.f64 -1/2 (pow.f64 x 2)) |
| 0.0ms | x | @ | inf | (*.f64 -1/2 (pow.f64 x 2)) |
| 1× | batch-egg-rewrite |
| 780× | unpow-prod-down |
| 514× | log-prod |
| 504× | cbrt-prod |
| 411× | log1p-expm1-u |
| 411× | expm1-log1p-u |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 58 |
| 1 | 132 | 50 |
| 2 | 1454 | 44 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 (log1p.f64 (neg.f64 (pow.f64 x 2)))) |
(log1p.f64 (neg.f64 (pow.f64 x 2))) |
(*.f64 -1/2 (pow.f64 x 2)) |
| Outputs |
|---|
(+.f64 0 (log.f64 (hypot.f64 1 x))) |
(+.f64 (log.f64 (cbrt.f64 (fma.f64 x x 1))) (log.f64 (cbrt.f64 (hypot.f64 1 x)))) |
(+.f64 (log.f64 (sqrt.f64 (hypot.f64 1 x))) (log.f64 (sqrt.f64 (hypot.f64 1 x)))) |
(-.f64 (+.f64 1 (log.f64 (hypot.f64 1 x))) 1) |
(pow.f64 (log.f64 (hypot.f64 1 x)) 1) |
(pow.f64 (cbrt.f64 (log.f64 (hypot.f64 1 x))) 3) |
(pow.f64 (pow.f64 (log.f64 (hypot.f64 1 x)) 2) 1/2) |
(pow.f64 (pow.f64 (log.f64 (hypot.f64 1 x)) 3) 1/3) |
(pow.f64 (sqrt.f64 (log.f64 (hypot.f64 1 x))) 2) |
(pow.f64 (E.f64) (log.f64 (log.f64 (hypot.f64 1 x)))) |
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (log.f64 (hypot.f64 1 x))) 2))) (cbrt.f64 (log.f64 (log.f64 (hypot.f64 1 x))))) |
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (log.f64 (hypot.f64 1 x))))) |
(sqrt.f64 (pow.f64 (log.f64 (hypot.f64 1 x)) 2)) |
(log.f64 (hypot.f64 1 x)) |
(cbrt.f64 (pow.f64 (log.f64 (hypot.f64 1 x)) 3)) |
(expm1.f64 (log1p.f64 (log.f64 (hypot.f64 1 x)))) |
(exp.f64 (log.f64 (log.f64 (hypot.f64 1 x)))) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (hypot.f64 1 x)))) 3)) |
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (hypot.f64 1 x)))) 1/3)) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (hypot.f64 1 x)))) 2)) |
(log1p.f64 (-.f64 (hypot.f64 1 x) 1)) |
(+.f64 (log.f64 (hypot.f64 1 x)) (log.f64 (hypot.f64 1 x))) |
(+.f64 0 (log1p.f64 (pow.f64 x 2))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (log.f64 (cbrt.f64 (fma.f64 x x 1)))) |
(-.f64 (+.f64 1 (log1p.f64 (pow.f64 x 2))) 1) |
(-.f64 (log1p.f64 (pow.f64 x 6)) (log.f64 (+.f64 1 (-.f64 (pow.f64 x 4) (pow.f64 x 2))))) |
(-.f64 (log.f64 (-.f64 1 (pow.f64 x 4))) (log1p.f64 (pow.f64 x 2))) |
(*.f64 (log1p.f64 (pow.f64 x 2)) 1) |
(*.f64 (log1p.f64 (pow.f64 x 2)) (log.f64 (E.f64))) |
(*.f64 1 (log1p.f64 (pow.f64 x 2))) |
(*.f64 (cbrt.f64 (log1p.f64 (pow.f64 x 2))) (cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 x 2)) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 x 2)) 2)) (cbrt.f64 (log1p.f64 (pow.f64 x 2)))) |
(*.f64 (sqrt.f64 (log1p.f64 (pow.f64 x 2))) (sqrt.f64 (log1p.f64 (pow.f64 x 2)))) |
(*.f64 (pow.f64 1 1/3) (log1p.f64 (pow.f64 x 2))) |
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (pow.f64 x 2)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (pow.f64 x 2)))) 3)) |
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 (pow.f64 x 2)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 (pow.f64 x 2)) 3)) 1/3)) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (log1p.f64 (pow.f64 x 2)) (cbrt.f64 (log1p.f64 (pow.f64 x 2)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log1p.f64 (pow.f64 x 2))))) |
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (pow.f64 x 2)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (log1p.f64 (pow.f64 x 2))))) |
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (log1p.f64 (pow.f64 x 2)) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (log1p.f64 (pow.f64 x 2)) 3)))) |
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (log1p.f64 (pow.f64 x 2)) (cbrt.f64 (log1p.f64 (pow.f64 x 2)))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (pow.f64 x 2))))) |
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 x 2)) 5/2)) (cbrt.f64 (sqrt.f64 (log1p.f64 (pow.f64 x 2))))) |
(pow.f64 (log1p.f64 (pow.f64 x 2)) 1) |
(pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 x 2))) 3) |
(pow.f64 (pow.f64 (log1p.f64 (pow.f64 x 2)) 2) 1/2) |
(pow.f64 (pow.f64 (log1p.f64 (pow.f64 x 2)) 3) 1/3) |
(pow.f64 (sqrt.f64 (log1p.f64 (pow.f64 x 2))) 2) |
(pow.f64 (E.f64) (log.f64 (log1p.f64 (pow.f64 x 2)))) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log1p.f64 (pow.f64 x 2)))) 2)) (cbrt.f64 (log.f64 (log1p.f64 (pow.f64 x 2))))) |
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log1p.f64 (pow.f64 x 2))))) (sqrt.f64 (log.f64 (log1p.f64 (pow.f64 x 2))))) |
(sqrt.f64 (pow.f64 (log1p.f64 (pow.f64 x 2)) 2)) |
(log.f64 (fma.f64 x x 1)) |
(cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 x 2)) 3)) |
(expm1.f64 (log1p.f64 (log1p.f64 (pow.f64 x 2)))) |
(exp.f64 (log.f64 (log1p.f64 (pow.f64 x 2)))) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (pow.f64 x 2)))) 3)) |
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 (pow.f64 x 2)))) 1/3)) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (pow.f64 x 2)))) 2)) |
(+.f64 0 (*.f64 (pow.f64 x 2) -1/2)) |
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/2))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/2)))) |
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x 2)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/2)))) |
(-.f64 (+.f64 1 (*.f64 (pow.f64 x 2) -1/2)) 1) |
(pow.f64 (*.f64 (pow.f64 x 2) -1/2) 1) |
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) -1/2)) 3) |
(pow.f64 (*.f64 (pow.f64 x 4) 1/4) 1/2) |
(pow.f64 (*.f64 (pow.f64 x 6) -1/8) 1/3) |
(pow.f64 (*.f64 x (sqrt.f64 -1/2)) 2) |
(pow.f64 (E.f64) (log.f64 (*.f64 (pow.f64 x 2) -1/2))) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (pow.f64 x 2) -1/2))) 2)) (cbrt.f64 (log.f64 (*.f64 (pow.f64 x 2) -1/2)))) |
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (pow.f64 x 2) -1/2)))) (sqrt.f64 (log.f64 (*.f64 (pow.f64 x 2) -1/2)))) |
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/4)) |
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/2)) |
(cbrt.f64 (*.f64 (pow.f64 x 6) -1/8)) |
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 2) -1/2))) |
(exp.f64 (log.f64 (*.f64 (pow.f64 x 2) -1/2))) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) -1/2))) 3)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 6) -1/8)) 1/3)) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 -1/2))) 2)) |
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 2) -1/2))) |
| 1× | egg-herbie |
| 1836× | fma-def |
| 1200× | fma-neg |
| 734× | log-prod |
| 632× | unswap-sqr |
| 448× | associate-+l+ |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 265 | 3266 |
| 1 | 641 | 3116 |
| 2 | 1929 | 3084 |
| 3 | 6776 | 3022 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/2 (pow.f64 x 2)) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/4 (pow.f64 x 4))) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/4 (pow.f64 x 4)) (*.f64 -1/6 (pow.f64 x 6)))) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/4 (pow.f64 x 4)) (+.f64 (*.f64 -1/6 (pow.f64 x 6)) (*.f64 -1/8 (pow.f64 x 8))))) |
(*.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 1 x))))) |
(-.f64 (*.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 1 x))))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (*.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 1 x))))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (*.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 1 x))))) (+.f64 (*.f64 1/6 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))) |
(*.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 x))))) |
(-.f64 (*.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 x))))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (*.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 x))))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (*.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 x))))) (+.f64 (*.f64 1/6 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))) |
(*.f64 -1 (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1/2 (pow.f64 x 4))) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 (pow.f64 x 4)) (*.f64 -1/3 (pow.f64 x 6)))) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 (pow.f64 x 4)) (+.f64 (*.f64 -1/3 (pow.f64 x 6)) (*.f64 -1/4 (pow.f64 x 8))))) |
(+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 1 x)))) |
(-.f64 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 1 x)))) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 x)))) |
(-.f64 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 x)))) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 x)))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 x)))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 2))))) |
(+.f64 0 (log.f64 (hypot.f64 1 x))) |
(+.f64 (log.f64 (cbrt.f64 (fma.f64 x x 1))) (log.f64 (cbrt.f64 (hypot.f64 1 x)))) |
(+.f64 (log.f64 (sqrt.f64 (hypot.f64 1 x))) (log.f64 (sqrt.f64 (hypot.f64 1 x)))) |
(-.f64 (+.f64 1 (log.f64 (hypot.f64 1 x))) 1) |
(pow.f64 (log.f64 (hypot.f64 1 x)) 1) |
(pow.f64 (cbrt.f64 (log.f64 (hypot.f64 1 x))) 3) |
(pow.f64 (pow.f64 (log.f64 (hypot.f64 1 x)) 2) 1/2) |
(pow.f64 (pow.f64 (log.f64 (hypot.f64 1 x)) 3) 1/3) |
(pow.f64 (sqrt.f64 (log.f64 (hypot.f64 1 x))) 2) |
(pow.f64 (E.f64) (log.f64 (log.f64 (hypot.f64 1 x)))) |
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (log.f64 (hypot.f64 1 x))) 2))) (cbrt.f64 (log.f64 (log.f64 (hypot.f64 1 x))))) |
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (log.f64 (hypot.f64 1 x))))) |
(sqrt.f64 (pow.f64 (log.f64 (hypot.f64 1 x)) 2)) |
(log.f64 (hypot.f64 1 x)) |
(cbrt.f64 (pow.f64 (log.f64 (hypot.f64 1 x)) 3)) |
(expm1.f64 (log1p.f64 (log.f64 (hypot.f64 1 x)))) |
(exp.f64 (log.f64 (log.f64 (hypot.f64 1 x)))) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (hypot.f64 1 x)))) 3)) |
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (hypot.f64 1 x)))) 1/3)) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (hypot.f64 1 x)))) 2)) |
(log1p.f64 (-.f64 (hypot.f64 1 x) 1)) |
(+.f64 (log.f64 (hypot.f64 1 x)) (log.f64 (hypot.f64 1 x))) |
(+.f64 0 (log1p.f64 (pow.f64 x 2))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (log.f64 (cbrt.f64 (fma.f64 x x 1)))) |
(-.f64 (+.f64 1 (log1p.f64 (pow.f64 x 2))) 1) |
(-.f64 (log1p.f64 (pow.f64 x 6)) (log.f64 (+.f64 1 (-.f64 (pow.f64 x 4) (pow.f64 x 2))))) |
(-.f64 (log.f64 (-.f64 1 (pow.f64 x 4))) (log1p.f64 (pow.f64 x 2))) |
(*.f64 (log1p.f64 (pow.f64 x 2)) 1) |
(*.f64 (log1p.f64 (pow.f64 x 2)) (log.f64 (E.f64))) |
(*.f64 1 (log1p.f64 (pow.f64 x 2))) |
(*.f64 (cbrt.f64 (log1p.f64 (pow.f64 x 2))) (cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 x 2)) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 x 2)) 2)) (cbrt.f64 (log1p.f64 (pow.f64 x 2)))) |
(*.f64 (sqrt.f64 (log1p.f64 (pow.f64 x 2))) (sqrt.f64 (log1p.f64 (pow.f64 x 2)))) |
(*.f64 (pow.f64 1 1/3) (log1p.f64 (pow.f64 x 2))) |
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (pow.f64 x 2)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (pow.f64 x 2)))) 3)) |
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 (pow.f64 x 2)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 (pow.f64 x 2)) 3)) 1/3)) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (log1p.f64 (pow.f64 x 2)) (cbrt.f64 (log1p.f64 (pow.f64 x 2)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log1p.f64 (pow.f64 x 2))))) |
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (pow.f64 x 2)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (log1p.f64 (pow.f64 x 2))))) |
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (log1p.f64 (pow.f64 x 2)) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (log1p.f64 (pow.f64 x 2)) 3)))) |
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (log1p.f64 (pow.f64 x 2)) (cbrt.f64 (log1p.f64 (pow.f64 x 2)))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (pow.f64 x 2))))) |
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 x 2)) 5/2)) (cbrt.f64 (sqrt.f64 (log1p.f64 (pow.f64 x 2))))) |
(pow.f64 (log1p.f64 (pow.f64 x 2)) 1) |
(pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 x 2))) 3) |
(pow.f64 (pow.f64 (log1p.f64 (pow.f64 x 2)) 2) 1/2) |
(pow.f64 (pow.f64 (log1p.f64 (pow.f64 x 2)) 3) 1/3) |
(pow.f64 (sqrt.f64 (log1p.f64 (pow.f64 x 2))) 2) |
(pow.f64 (E.f64) (log.f64 (log1p.f64 (pow.f64 x 2)))) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log1p.f64 (pow.f64 x 2)))) 2)) (cbrt.f64 (log.f64 (log1p.f64 (pow.f64 x 2))))) |
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log1p.f64 (pow.f64 x 2))))) (sqrt.f64 (log.f64 (log1p.f64 (pow.f64 x 2))))) |
(sqrt.f64 (pow.f64 (log1p.f64 (pow.f64 x 2)) 2)) |
(log.f64 (fma.f64 x x 1)) |
(cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 x 2)) 3)) |
(expm1.f64 (log1p.f64 (log1p.f64 (pow.f64 x 2)))) |
(exp.f64 (log.f64 (log1p.f64 (pow.f64 x 2)))) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (pow.f64 x 2)))) 3)) |
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 (pow.f64 x 2)))) 1/3)) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (pow.f64 x 2)))) 2)) |
(+.f64 0 (*.f64 (pow.f64 x 2) -1/2)) |
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/2))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/2)))) |
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x 2)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/2)))) |
(-.f64 (+.f64 1 (*.f64 (pow.f64 x 2) -1/2)) 1) |
(pow.f64 (*.f64 (pow.f64 x 2) -1/2) 1) |
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) -1/2)) 3) |
(pow.f64 (*.f64 (pow.f64 x 4) 1/4) 1/2) |
(pow.f64 (*.f64 (pow.f64 x 6) -1/8) 1/3) |
(pow.f64 (*.f64 x (sqrt.f64 -1/2)) 2) |
(pow.f64 (E.f64) (log.f64 (*.f64 (pow.f64 x 2) -1/2))) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (pow.f64 x 2) -1/2))) 2)) (cbrt.f64 (log.f64 (*.f64 (pow.f64 x 2) -1/2)))) |
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (pow.f64 x 2) -1/2)))) (sqrt.f64 (log.f64 (*.f64 (pow.f64 x 2) -1/2)))) |
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/4)) |
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/2)) |
(cbrt.f64 (*.f64 (pow.f64 x 6) -1/8)) |
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 2) -1/2))) |
(exp.f64 (log.f64 (*.f64 (pow.f64 x 2) -1/2))) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) -1/2))) 3)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 6) -1/8)) 1/3)) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 -1/2))) 2)) |
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 2) -1/2))) |
| Outputs |
|---|
(*.f64 -1/2 (pow.f64 x 2)) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/4 (pow.f64 x 4))) |
(fma.f64 -1/2 (pow.f64 x 2) (*.f64 -1/4 (pow.f64 x 4))) |
(fma.f64 -1/4 (pow.f64 x 4) (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/4 (pow.f64 x 4)) (*.f64 -1/6 (pow.f64 x 6)))) |
(fma.f64 -1/2 (pow.f64 x 2) (fma.f64 -1/4 (pow.f64 x 4) (*.f64 -1/6 (pow.f64 x 6)))) |
(fma.f64 -1/4 (pow.f64 x 4) (fma.f64 -1/6 (pow.f64 x 6) (*.f64 -1/2 (pow.f64 x 2)))) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/4 (pow.f64 x 4)) (+.f64 (*.f64 -1/6 (pow.f64 x 6)) (*.f64 -1/8 (pow.f64 x 8))))) |
(fma.f64 -1/2 (pow.f64 x 2) (fma.f64 -1/4 (pow.f64 x 4) (fma.f64 -1/6 (pow.f64 x 6) (*.f64 -1/8 (pow.f64 x 8))))) |
(fma.f64 -1/2 (pow.f64 x 2) (fma.f64 -1/4 (pow.f64 x 4) (fma.f64 -1/8 (pow.f64 x 8) (*.f64 -1/6 (pow.f64 x 6))))) |
(*.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 1 x))))) |
(*.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -2 (neg.f64 (log.f64 x))))) |
(*.f64 1/2 (fma.f64 -2 (neg.f64 (log.f64 x)) (log.f64 -1))) |
(fma.f64 1/2 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 x)))) |
(-.f64 (*.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 1 x))))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(*.f64 1/2 (+.f64 (log.f64 -1) (-.f64 (*.f64 -2 (neg.f64 (log.f64 x))) (/.f64 1 (pow.f64 x 2))))) |
(fma.f64 1/2 (fma.f64 -2 (neg.f64 (log.f64 x)) (log.f64 -1)) (/.f64 -1/2 (pow.f64 x 2))) |
(fma.f64 1/2 (log.f64 -1) (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 -1/2 (pow.f64 x 2)))) |
(*.f64 1/2 (+.f64 (log.f64 -1) (fma.f64 2 (log.f64 x) (/.f64 -1 (pow.f64 x 2))))) |
(-.f64 (*.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 1 x))))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))) |
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(-.f64 (fma.f64 1/2 (fma.f64 -2 (neg.f64 (log.f64 x)) (log.f64 -1)) (/.f64 -1/2 (pow.f64 x 2))) (/.f64 1/4 (pow.f64 x 4))) |
(fma.f64 1/2 (+.f64 (*.f64 2 (log.f64 x)) (+.f64 (log.f64 -1) (/.f64 -1 (pow.f64 x 2)))) (/.f64 -1/4 (pow.f64 x 4))) |
(fma.f64 1/2 (+.f64 (log.f64 -1) (fma.f64 2 (log.f64 x) (/.f64 -1 (pow.f64 x 2)))) (/.f64 -1/4 (pow.f64 x 4))) |
(-.f64 (*.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 1 x))))) (+.f64 (*.f64 1/6 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))) |
(-.f64 (*.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -2 (neg.f64 (log.f64 x))))) (+.f64 (+.f64 (/.f64 1/2 (pow.f64 x 2)) (/.f64 1/4 (pow.f64 x 4))) (/.f64 1/6 (pow.f64 x 6)))) |
(-.f64 (-.f64 (fma.f64 1/2 (fma.f64 -2 (neg.f64 (log.f64 x)) (log.f64 -1)) (/.f64 -1/2 (pow.f64 x 2))) (/.f64 1/4 (pow.f64 x 4))) (/.f64 1/6 (pow.f64 x 6))) |
(+.f64 (fma.f64 1/2 (+.f64 (*.f64 2 (log.f64 x)) (+.f64 (log.f64 -1) (/.f64 -1 (pow.f64 x 2)))) (/.f64 -1/4 (pow.f64 x 4))) (/.f64 -1/6 (pow.f64 x 6))) |
(+.f64 (fma.f64 1/2 (+.f64 (log.f64 -1) (fma.f64 2 (log.f64 x) (/.f64 -1 (pow.f64 x 2)))) (/.f64 -1/4 (pow.f64 x 4))) (/.f64 -1/6 (pow.f64 x 6))) |
(*.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 x))))) |
(*.f64 1/2 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1))) |
(fma.f64 1/2 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) |
(-.f64 (*.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 x))))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (*.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 x))))) (/.f64 1/2 (pow.f64 x 2))) |
(fma.f64 1/2 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (/.f64 -1/2 (pow.f64 x 2))) |
(-.f64 (*.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 x))))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (*.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 x))))) (+.f64 (/.f64 1/2 (pow.f64 x 2)) (/.f64 1/4 (pow.f64 x 4)))) |
(-.f64 (fma.f64 1/2 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (/.f64 -1/2 (pow.f64 x 2))) (/.f64 1/4 (pow.f64 x 4))) |
(fma.f64 1/2 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1) (/.f64 -1 (pow.f64 x 2)))) (/.f64 -1/4 (pow.f64 x 4))) |
(-.f64 (*.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 x))))) (+.f64 (*.f64 1/6 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))) |
(-.f64 (*.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 x))))) (+.f64 (+.f64 (/.f64 1/2 (pow.f64 x 2)) (/.f64 1/4 (pow.f64 x 4))) (/.f64 1/6 (pow.f64 x 6)))) |
(-.f64 (-.f64 (fma.f64 1/2 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (/.f64 -1/2 (pow.f64 x 2))) (/.f64 1/4 (pow.f64 x 4))) (/.f64 1/6 (pow.f64 x 6))) |
(+.f64 (fma.f64 1/2 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1) (/.f64 -1 (pow.f64 x 2)))) (/.f64 -1/4 (pow.f64 x 4))) (/.f64 -1/6 (pow.f64 x 6))) |
(*.f64 -1 (pow.f64 x 2)) |
(neg.f64 (pow.f64 x 2)) |
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(fma.f64 -1 (pow.f64 x 2) (*.f64 -1/2 (pow.f64 x 4))) |
(fma.f64 -1/2 (pow.f64 x 4) (neg.f64 (pow.f64 x 2))) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 (pow.f64 x 4)) (*.f64 -1/3 (pow.f64 x 6)))) |
(fma.f64 -1 (pow.f64 x 2) (fma.f64 -1/2 (pow.f64 x 4) (*.f64 (pow.f64 x 6) -1/3))) |
(-.f64 (fma.f64 -1/2 (pow.f64 x 4) (*.f64 (pow.f64 x 6) -1/3)) (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 (pow.f64 x 4)) (+.f64 (*.f64 -1/3 (pow.f64 x 6)) (*.f64 -1/4 (pow.f64 x 8))))) |
(fma.f64 -1 (pow.f64 x 2) (fma.f64 -1/2 (pow.f64 x 4) (fma.f64 -1/3 (pow.f64 x 6) (*.f64 -1/4 (pow.f64 x 8))))) |
(-.f64 (fma.f64 -1/2 (pow.f64 x 4) (fma.f64 -1/4 (pow.f64 x 8) (*.f64 (pow.f64 x 6) -1/3))) (pow.f64 x 2)) |
(+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 1 x)))) |
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(fma.f64 -2 (neg.f64 (log.f64 x)) (log.f64 -1)) |
(+.f64 (log.f64 -1) (*.f64 2 (log.f64 x))) |
(-.f64 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 1 x)))) (/.f64 1 (pow.f64 x 2))) |
(+.f64 (log.f64 -1) (-.f64 (*.f64 -2 (neg.f64 (log.f64 x))) (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (log.f64 -1) (fma.f64 -2 (neg.f64 (log.f64 x)) (/.f64 -1 (pow.f64 x 2)))) |
(+.f64 (*.f64 2 (log.f64 x)) (+.f64 (log.f64 -1) (/.f64 -1 (pow.f64 x 2)))) |
(+.f64 (log.f64 -1) (fma.f64 2 (log.f64 x) (/.f64 -1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (log.f64 -1) (-.f64 (*.f64 -2 (neg.f64 (log.f64 x))) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1/2 (pow.f64 x 4))))) |
(+.f64 (log.f64 -1) (-.f64 (fma.f64 -2 (neg.f64 (log.f64 x)) (/.f64 -1 (pow.f64 x 2))) (/.f64 1/2 (pow.f64 x 4)))) |
(+.f64 (*.f64 2 (log.f64 x)) (+.f64 (+.f64 (log.f64 -1) (/.f64 -1 (pow.f64 x 2))) (/.f64 -1/2 (pow.f64 x 4)))) |
(+.f64 (+.f64 (log.f64 -1) (fma.f64 2 (log.f64 x) (/.f64 -1 (pow.f64 x 2)))) (/.f64 -1/2 (pow.f64 x 4))) |
(-.f64 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (log.f64 -1) (-.f64 (*.f64 -2 (neg.f64 (log.f64 x))) (+.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1/2 (pow.f64 x 4))) (/.f64 1/3 (pow.f64 x 6))))) |
(-.f64 (fma.f64 -2 (neg.f64 (log.f64 x)) (log.f64 -1)) (+.f64 (/.f64 1/2 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1/3 (pow.f64 x 6))))) |
(+.f64 (log.f64 -1) (-.f64 (-.f64 (+.f64 (*.f64 2 (log.f64 x)) (/.f64 -1/3 (pow.f64 x 6))) (/.f64 1 (pow.f64 x 2))) (/.f64 1/2 (pow.f64 x 4)))) |
(+.f64 (log.f64 -1) (-.f64 (-.f64 (fma.f64 2 (log.f64 x) (/.f64 -1/3 (pow.f64 x 6))) (/.f64 1 (pow.f64 x 2))) (/.f64 1/2 (pow.f64 x 4)))) |
(+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 x)))) |
(fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1)) |
(-.f64 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 x)))) (/.f64 1 (pow.f64 x 2))) |
(+.f64 (log.f64 -1) (-.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (/.f64 -1 (pow.f64 x 2))) |
(fma.f64 -2 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1) (/.f64 -1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 x)))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 x)))) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1/2 (pow.f64 x 4)))) |
(+.f64 (log.f64 -1) (-.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (/.f64 -1 (pow.f64 x 2))) (/.f64 1/2 (pow.f64 x 4)))) |
(+.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1) (/.f64 -1 (pow.f64 x 2)))) (/.f64 -1/2 (pow.f64 x 4))) |
(-.f64 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 x)))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 x)))) (+.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1/2 (pow.f64 x 4))) (/.f64 1/3 (pow.f64 x 6)))) |
(-.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (+.f64 (/.f64 1/2 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1/3 (pow.f64 x 6))))) |
(+.f64 (log.f64 -1) (+.f64 (+.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (/.f64 -1 (pow.f64 x 2))) (/.f64 -1/2 (pow.f64 x 4))) (/.f64 -1/3 (pow.f64 x 6)))) |
(+.f64 0 (log.f64 (hypot.f64 1 x))) |
(log.f64 (hypot.f64 1 x)) |
(+.f64 (log.f64 (cbrt.f64 (fma.f64 x x 1))) (log.f64 (cbrt.f64 (hypot.f64 1 x)))) |
(+.f64 (log.f64 (sqrt.f64 (hypot.f64 1 x))) (log.f64 (sqrt.f64 (hypot.f64 1 x)))) |
(*.f64 2 (log.f64 (sqrt.f64 (hypot.f64 1 x)))) |
(-.f64 (+.f64 1 (log.f64 (hypot.f64 1 x))) 1) |
(log.f64 (hypot.f64 1 x)) |
(pow.f64 (log.f64 (hypot.f64 1 x)) 1) |
(log.f64 (hypot.f64 1 x)) |
(pow.f64 (cbrt.f64 (log.f64 (hypot.f64 1 x))) 3) |
(log.f64 (hypot.f64 1 x)) |
(pow.f64 (pow.f64 (log.f64 (hypot.f64 1 x)) 2) 1/2) |
(log.f64 (hypot.f64 1 x)) |
(pow.f64 (pow.f64 (log.f64 (hypot.f64 1 x)) 3) 1/3) |
(log.f64 (hypot.f64 1 x)) |
(pow.f64 (sqrt.f64 (log.f64 (hypot.f64 1 x))) 2) |
(log.f64 (hypot.f64 1 x)) |
(pow.f64 (E.f64) (log.f64 (log.f64 (hypot.f64 1 x)))) |
(log.f64 (hypot.f64 1 x)) |
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (log.f64 (hypot.f64 1 x))) 2))) (cbrt.f64 (log.f64 (log.f64 (hypot.f64 1 x))))) |
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (log.f64 (hypot.f64 1 x))))) |
(log.f64 (hypot.f64 1 x)) |
(sqrt.f64 (pow.f64 (log.f64 (hypot.f64 1 x)) 2)) |
(log.f64 (hypot.f64 1 x)) |
(log.f64 (hypot.f64 1 x)) |
(cbrt.f64 (pow.f64 (log.f64 (hypot.f64 1 x)) 3)) |
(log.f64 (hypot.f64 1 x)) |
(expm1.f64 (log1p.f64 (log.f64 (hypot.f64 1 x)))) |
(log.f64 (hypot.f64 1 x)) |
(exp.f64 (log.f64 (log.f64 (hypot.f64 1 x)))) |
(log.f64 (hypot.f64 1 x)) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (hypot.f64 1 x)))) 3)) |
(log.f64 (hypot.f64 1 x)) |
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (hypot.f64 1 x)))) 1/3)) |
(log.f64 (hypot.f64 1 x)) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (hypot.f64 1 x)))) 2)) |
(log.f64 (hypot.f64 1 x)) |
(log1p.f64 (-.f64 (hypot.f64 1 x) 1)) |
(log1p.f64 (+.f64 (hypot.f64 1 x) -1)) |
(log1p.f64 (+.f64 -1 (hypot.f64 1 x))) |
(+.f64 (log.f64 (hypot.f64 1 x)) (log.f64 (hypot.f64 1 x))) |
(*.f64 2 (log.f64 (hypot.f64 1 x))) |
(+.f64 0 (log1p.f64 (pow.f64 x 2))) |
(log1p.f64 (pow.f64 x 2)) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (log.f64 (cbrt.f64 (fma.f64 x x 1)))) |
(+.f64 (log.f64 (cbrt.f64 (fma.f64 x x 1))) (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 x x 1))))) |
(*.f64 3 (log.f64 (cbrt.f64 (fma.f64 x x 1)))) |
(*.f64 (log.f64 (cbrt.f64 (fma.f64 x x 1))) 3) |
(-.f64 (+.f64 1 (log1p.f64 (pow.f64 x 2))) 1) |
(log1p.f64 (pow.f64 x 2)) |
(-.f64 (log1p.f64 (pow.f64 x 6)) (log.f64 (+.f64 1 (-.f64 (pow.f64 x 4) (pow.f64 x 2))))) |
(-.f64 (log1p.f64 (pow.f64 x 6)) (log1p.f64 (-.f64 (pow.f64 x 4) (pow.f64 x 2)))) |
(-.f64 (log.f64 (-.f64 1 (pow.f64 x 4))) (log1p.f64 (pow.f64 x 2))) |
(-.f64 (log1p.f64 (neg.f64 (pow.f64 x 4))) (log1p.f64 (pow.f64 x 2))) |
(*.f64 (log1p.f64 (pow.f64 x 2)) 1) |
(log1p.f64 (pow.f64 x 2)) |
(*.f64 (log1p.f64 (pow.f64 x 2)) (log.f64 (E.f64))) |
(log1p.f64 (pow.f64 x 2)) |
(*.f64 1 (log1p.f64 (pow.f64 x 2))) |
(log1p.f64 (pow.f64 x 2)) |
(*.f64 (cbrt.f64 (log1p.f64 (pow.f64 x 2))) (cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 x 2)) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 x 2)) 2)) (cbrt.f64 (log1p.f64 (pow.f64 x 2)))) |
(*.f64 (cbrt.f64 (log1p.f64 (pow.f64 x 2))) (cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 x 2)) 2))) |
(*.f64 (sqrt.f64 (log1p.f64 (pow.f64 x 2))) (sqrt.f64 (log1p.f64 (pow.f64 x 2)))) |
(log1p.f64 (pow.f64 x 2)) |
(*.f64 (pow.f64 1 1/3) (log1p.f64 (pow.f64 x 2))) |
(log1p.f64 (pow.f64 x 2)) |
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (pow.f64 x 2)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (pow.f64 x 2)))) 3)) |
(log1p.f64 (pow.f64 x 2)) |
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 (pow.f64 x 2)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 (pow.f64 x 2)) 3)) 1/3)) |
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (log1p.f64 (pow.f64 x 2)) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (log1p.f64 (pow.f64 x 2)) 3)))) |
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 x 2)) 3/2)) (cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 x 2)) 3/2))) |
(pow.f64 (pow.f64 (pow.f64 (log1p.f64 (pow.f64 x 2)) 3/2) 1/6) 4) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (log1p.f64 (pow.f64 x 2)) (cbrt.f64 (log1p.f64 (pow.f64 x 2)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log1p.f64 (pow.f64 x 2))))) |
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (log1p.f64 (pow.f64 x 2)) (cbrt.f64 (log1p.f64 (pow.f64 x 2)))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (pow.f64 x 2))))) |
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 x 2))) 4) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (pow.f64 x 2))))) |
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 x 2))) 8)) (cbrt.f64 (cbrt.f64 (log1p.f64 (pow.f64 x 2))))) |
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (pow.f64 x 2)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (log1p.f64 (pow.f64 x 2))))) |
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 x 2)) 5/2)) (cbrt.f64 (sqrt.f64 (log1p.f64 (pow.f64 x 2))))) |
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (log1p.f64 (pow.f64 x 2)) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (log1p.f64 (pow.f64 x 2)) 3)))) |
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 x 2)) 3/2)) (cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 x 2)) 3/2))) |
(pow.f64 (pow.f64 (pow.f64 (log1p.f64 (pow.f64 x 2)) 3/2) 1/6) 4) |
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (log1p.f64 (pow.f64 x 2)) (cbrt.f64 (log1p.f64 (pow.f64 x 2)))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (pow.f64 x 2))))) |
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 x 2))) 4) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (pow.f64 x 2))))) |
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 x 2))) 8)) (cbrt.f64 (cbrt.f64 (log1p.f64 (pow.f64 x 2))))) |
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 x 2)) 5/2)) (cbrt.f64 (sqrt.f64 (log1p.f64 (pow.f64 x 2))))) |
(pow.f64 (log1p.f64 (pow.f64 x 2)) 1) |
(log1p.f64 (pow.f64 x 2)) |
(pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 x 2))) 3) |
(log1p.f64 (pow.f64 x 2)) |
(pow.f64 (pow.f64 (log1p.f64 (pow.f64 x 2)) 2) 1/2) |
(log1p.f64 (pow.f64 x 2)) |
(pow.f64 (pow.f64 (log1p.f64 (pow.f64 x 2)) 3) 1/3) |
(log1p.f64 (pow.f64 x 2)) |
(pow.f64 (sqrt.f64 (log1p.f64 (pow.f64 x 2))) 2) |
(log1p.f64 (pow.f64 x 2)) |
(pow.f64 (E.f64) (log.f64 (log1p.f64 (pow.f64 x 2)))) |
(log1p.f64 (pow.f64 x 2)) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log1p.f64 (pow.f64 x 2)))) 2)) (cbrt.f64 (log.f64 (log1p.f64 (pow.f64 x 2))))) |
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log1p.f64 (pow.f64 x 2))))) (sqrt.f64 (log.f64 (log1p.f64 (pow.f64 x 2))))) |
(sqrt.f64 (pow.f64 (log1p.f64 (pow.f64 x 2)) 2)) |
(log1p.f64 (pow.f64 x 2)) |
(log.f64 (fma.f64 x x 1)) |
(log1p.f64 (pow.f64 x 2)) |
(cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 x 2)) 3)) |
(log1p.f64 (pow.f64 x 2)) |
(expm1.f64 (log1p.f64 (log1p.f64 (pow.f64 x 2)))) |
(log1p.f64 (pow.f64 x 2)) |
(exp.f64 (log.f64 (log1p.f64 (pow.f64 x 2)))) |
(log1p.f64 (pow.f64 x 2)) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (pow.f64 x 2)))) 3)) |
(log1p.f64 (pow.f64 x 2)) |
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 (pow.f64 x 2)))) 1/3)) |
(log1p.f64 (pow.f64 x 2)) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (pow.f64 x 2)))) 2)) |
(log1p.f64 (pow.f64 x 2)) |
(+.f64 0 (*.f64 (pow.f64 x 2) -1/2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/2))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/2)))) |
(*.f64 -1/2 (pow.f64 x 2)) |
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x 2)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/2)))) |
(-.f64 (+.f64 1 (*.f64 (pow.f64 x 2) -1/2)) 1) |
(*.f64 -1/2 (pow.f64 x 2)) |
(pow.f64 (*.f64 (pow.f64 x 2) -1/2) 1) |
(*.f64 -1/2 (pow.f64 x 2)) |
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) -1/2)) 3) |
(*.f64 -1/2 (pow.f64 x 2)) |
(pow.f64 (*.f64 (pow.f64 x 4) 1/4) 1/2) |
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/4)) |
(pow.f64 (*.f64 (pow.f64 x 6) -1/8) 1/3) |
(cbrt.f64 (*.f64 (pow.f64 x 6) -1/8)) |
(pow.f64 (*.f64 x (sqrt.f64 -1/2)) 2) |
(*.f64 -1/2 (pow.f64 x 2)) |
(pow.f64 (E.f64) (log.f64 (*.f64 (pow.f64 x 2) -1/2))) |
(*.f64 -1/2 (pow.f64 x 2)) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (pow.f64 x 2) -1/2))) 2)) (cbrt.f64 (log.f64 (*.f64 (pow.f64 x 2) -1/2)))) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 -1/2 (pow.f64 x 2)))) 2)) (cbrt.f64 (log.f64 (*.f64 -1/2 (pow.f64 x 2))))) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (log.f64 x) (log.f64 -1/2))) 2)) (cbrt.f64 (fma.f64 2 (log.f64 x) (log.f64 -1/2)))) |
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (pow.f64 x 2) -1/2)))) (sqrt.f64 (log.f64 (*.f64 (pow.f64 x 2) -1/2)))) |
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 -1/2 (pow.f64 x 2))))) (sqrt.f64 (log.f64 (*.f64 -1/2 (pow.f64 x 2))))) |
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 2 (log.f64 x) (log.f64 -1/2)))) (sqrt.f64 (fma.f64 2 (log.f64 x) (log.f64 -1/2)))) |
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/4)) |
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(cbrt.f64 (*.f64 (pow.f64 x 6) -1/8)) |
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 2) -1/2))) |
(*.f64 -1/2 (pow.f64 x 2)) |
(exp.f64 (log.f64 (*.f64 (pow.f64 x 2) -1/2))) |
(*.f64 -1/2 (pow.f64 x 2)) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) -1/2))) 3)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 6) -1/8)) 1/3)) |
(cbrt.f64 (*.f64 (pow.f64 x 6) -1/8)) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 -1/2))) 2)) |
(*.f64 -1/2 (pow.f64 x 2)) |
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 2) -1/2))) |
(*.f64 -1/2 (pow.f64 x 2)) |
Compiled 2892 to 2467 computations (14.7% saved)
4 alts after pruning (1 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 183 | 0 | 183 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 2 | 2 |
| Done | 0 | 1 | 1 |
| Total | 183 | 4 | 187 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.2% | (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
| ✓ | 100.0% | (sqrt.f64 (-.f64 1 (*.f64 x x))) |
| ✓ | 100.0% | (exp.f64 (*.f64 1/2 (log1p.f64 (neg.f64 (pow.f64 x 2))))) |
| 98.4% | 1 | |
| ✓ | 99.2% | (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
| ✓ | 100.0% | (sqrt.f64 (-.f64 1 (*.f64 x x))) |
| ✓ | 100.0% | (exp.f64 (*.f64 1/2 (log1p.f64 (neg.f64 (pow.f64 x 2))))) |
| 98.4% | 1 |
Compiled 52 to 44 computations (15.4% saved)
Compiled 1 to 1 computations (0% saved)
4 alts after pruning (1 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 3 | 3 |
| Total | 0 | 4 | 4 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.2% | (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
| ✓ | 100.0% | (sqrt.f64 (-.f64 1 (*.f64 x x))) |
| ✓ | 100.0% | (exp.f64 (*.f64 1/2 (log1p.f64 (neg.f64 (pow.f64 x 2))))) |
| 98.4% | 1 | |
| ✓ | 99.2% | (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
| ✓ | 100.0% | (sqrt.f64 (-.f64 1 (*.f64 x x))) |
| ✓ | 100.0% | (exp.f64 (*.f64 1/2 (log1p.f64 (neg.f64 (pow.f64 x 2))))) |
| 98.4% | 1 |
Compiled 52 to 44 computations (15.4% saved)
Compiled 1 to 1 computations (0% saved)
4 alts after pruning (1 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 3 | 3 |
| Total | 0 | 4 | 4 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.2% | (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
| ✓ | 100.0% | (sqrt.f64 (-.f64 1 (*.f64 x x))) |
| ✓ | 100.0% | (exp.f64 (*.f64 1/2 (log1p.f64 (neg.f64 (pow.f64 x 2))))) |
| 98.4% | 1 |
Compiled 49 to 41 computations (16.3% saved)
| Inputs |
|---|
1 |
(sqrt.f64 (-.f64 1 (*.f64 x x))) |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
(exp.f64 (*.f64 1/2 (log1p.f64 (neg.f64 (pow.f64 x 2))))) |
| Outputs |
|---|
(exp.f64 (*.f64 1/2 (log1p.f64 (neg.f64 (pow.f64 x 2))))) |
4 calls:
| 3.0ms | x |
| 2.0ms | (*.f64 x x) |
| 2.0ms | (sqrt.f64 (-.f64 1 (*.f64 x x))) |
| 2.0ms | (-.f64 1 (*.f64 x x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | (sqrt.f64 (-.f64 1 (*.f64 x x))) |
| 100.0% | 1 | (-.f64 1 (*.f64 x x)) |
| 100.0% | 1 | (*.f64 x x) |
Compiled 42 to 31 computations (26.2% saved)
| Inputs |
|---|
1 |
(sqrt.f64 (-.f64 1 (*.f64 x x))) |
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) |
| Outputs |
|---|
(sqrt.f64 (-.f64 1 (*.f64 x x))) |
4 calls:
| 3.0ms | (*.f64 x x) |
| 3.0ms | x |
| 2.0ms | (-.f64 1 (*.f64 x x)) |
| 2.0ms | (sqrt.f64 (-.f64 1 (*.f64 x x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | (sqrt.f64 (-.f64 1 (*.f64 x x))) |
| 100.0% | 1 | (-.f64 1 (*.f64 x x)) |
| 100.0% | 1 | (*.f64 x x) |
Compiled 34 to 24 computations (29.4% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
1 |
| Outputs |
|---|
1 |
1 calls:
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.4% | 1 | x |
Compiled 4 to 3 computations (25% saved)
| 1× | egg-herbie |
| 8× | sub-neg |
| 8× | +-commutative |
| 8× | *-commutative |
| 6× | neg-mul-1 |
| 6× | neg-sub0 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 52 |
| 1 | 28 | 52 |
| 2 | 36 | 52 |
| 3 | 41 | 52 |
| 4 | 43 | 52 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(exp.f64 (*.f64 1/2 (log1p.f64 (neg.f64 (pow.f64 x 2))))) |
(sqrt.f64 (-.f64 1 (*.f64 x x))) |
1 |
| Outputs |
|---|
(exp.f64 (*.f64 1/2 (log1p.f64 (neg.f64 (pow.f64 x 2))))) |
(sqrt.f64 (-.f64 1 (*.f64 x x))) |
1 |
Compiled 18 to 15 computations (16.7% saved)
| 620× | unpow-prod-down |
| 410× | log1p-expm1-u |
| 410× | expm1-log1p-u |
| 404× | log-prod |
| 388× | cbrt-prod |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 20 |
| 1 | 103 | 20 |
| 2 | 1199 | 20 |
| 1× | node limit |
Compiled 59 to 40 computations (32.2% saved)
(abs x)
Compiled 64 to 52 computations (18.8% saved)
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