Jmat.Real.lambertw, estimator
Time bar (total: 2.1s)
| 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% | 50% | 0% | 0% | 50% | 0% | 2 |
| 50% | 25% | 25% | 0% | 0% | 50% | 0% | 3 |
| 66.7% | 25% | 12.5% | 0% | 0% | 62.5% | 0% | 4 |
| 80% | 25% | 6.2% | 0% | 0% | 68.7% | 0% | 5 |
| 88.9% | 25% | 3.1% | 0% | 0% | 71.8% | 0% | 6 |
| 94.1% | 25% | 1.6% | 0% | 0% | 73.4% | 0% | 7 |
| 97% | 25% | 0.8% | 0% | 0% | 74.2% | 0% | 8 |
| 98.5% | 25% | 0.4% | 0% | 0% | 74.6% | 0% | 9 |
| 99.2% | 25% | 0.2% | 0% | 0% | 74.8% | 0% | 10 |
| 99.6% | 25% | 0.1% | 0% | 0% | 74.9% | 0% | 11 |
| 99.8% | 25% | 0% | 0% | 0% | 74.9% | 0% | 12 |
Compiled 8 to 5 computations (37.5% saved)
| 976.0ms | 8256× | body | 256 | valid |
| 1.0ms | 13× | body | 256 | invalid |
| 2× | egg-herbie |
| 3002× | fma-neg |
| 2116× | fma-def |
| 1938× | unsub-neg |
| 1212× | associate-+r+ |
| 716× | associate-+l+ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 19 |
| 1 | 9 | 19 |
| 2 | 14 | 19 |
| 3 | 22 | 19 |
| 4 | 31 | 19 |
| 5 | 48 | 19 |
| 6 | 86 | 19 |
| 7 | 127 | 19 |
| 8 | 206 | 19 |
| 9 | 399 | 19 |
| 10 | 840 | 19 |
| 11 | 2223 | 19 |
| 12 | 4435 | 19 |
| 13 | 4984 | 19 |
| 14 | 5127 | 19 |
| 15 | 5175 | 19 |
| 16 | 5185 | 19 |
| 17 | 5185 | 19 |
| 18 | 6297 | 19 |
| 19 | 6305 | 19 |
| 20 | 6357 | 19 |
| 21 | 6357 | 19 |
| 22 | 7493 | 19 |
| 0 | 1 | 1 |
| 1× | saturated |
| 1× | node limit |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.6% | (-.f64 (log.f64 x) (log.f64 (log.f64 x))) |
| ▶ | 99.6% | (-.f64 (log.f64 x) (log.f64 (log.f64 x))) |
| Inputs |
|---|
0 |
| Outputs |
|---|
0 |
| Inputs |
|---|
(-.f64 (log.f64 x) (log.f64 (log.f64 x))) |
| Outputs |
|---|
(-.f64 (log.f64 x) (log.f64 (log.f64 x))) |
Compiled 22 to 13 computations (40.9% saved)
Found 2 expressions with local accuracy:
| New | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (log.f64 (log.f64 x)) |
| ✓ | 99.6% | (-.f64 (log.f64 x) (log.f64 (log.f64 x))) |
Compiled 14 to 5 computations (64.3% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 53.0ms | x | @ | inf | (-.f64 (log.f64 x) (log.f64 (log.f64 x))) |
| 45.0ms | x | @ | 0 | (-.f64 (log.f64 x) (log.f64 (log.f64 x))) |
| 42.0ms | x | @ | -inf | (-.f64 (log.f64 x) (log.f64 (log.f64 x))) |
| 0.0ms | x | @ | -inf | (log.f64 (log.f64 x)) |
| 0.0ms | x | @ | 0 | (log.f64 (log.f64 x)) |
| 1× | batch-egg-rewrite |
| 1550× | pow1 |
| 1434× | add-exp-log |
| 1434× | log1p-expm1-u |
| 1434× | expm1-log1p-u |
| 1396× | add-log-exp |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 24 |
| 1 | 143 | 24 |
| 2 | 1921 | 24 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (log.f64 x) (log.f64 (log.f64 x))) |
(log.f64 (log.f64 x)) |
| Outputs |
|---|
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) |
(+.f64 (log.f64 x) (*.f64 (neg.f64 (log.f64 (log.f64 x))) 1)) |
(+.f64 (log.f64 (/.f64 x (log.f64 x))) (fma.f64 (neg.f64 (log.f64 (log.f64 x))) 1 (log.f64 (log.f64 x)))) |
(+.f64 (log.f64 (/.f64 x (log.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (log.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 2) (log.f64 (log.f64 x)))) |
(+.f64 (log.f64 (/.f64 x (log.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 (log.f64 x)))) (sqrt.f64 (log.f64 (log.f64 x))) (log.f64 (log.f64 x)))) |
(+.f64 (neg.f64 (log.f64 (log.f64 x))) (log.f64 x)) |
(*.f64 (log.f64 (/.f64 x (log.f64 x))) 1) |
(*.f64 1 (log.f64 (/.f64 x (log.f64 x)))) |
(*.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2) (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))) |
(*.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))) |
(*.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (log.f64 x)) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x))))))) |
(*.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (log.f64 x)) 2)) (/.f64 1 (log.f64 (*.f64 x (log.f64 x))))) |
(*.f64 (+.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 (log.f64 x)))) (-.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 (log.f64 x))))) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x))))) (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (log.f64 x)) 3)))) |
(/.f64 1 (/.f64 (log.f64 (*.f64 x (log.f64 x))) (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (log.f64 x)) 2)))) |
(/.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (log.f64 x)) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x)))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (log.f64 x)) 2)) (log.f64 (*.f64 x (log.f64 x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (log.f64 x)) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (log.f64 x)) 2))) (neg.f64 (log.f64 (*.f64 x (log.f64 x))))) |
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (neg.f64 (log.f64 (log.f64 x))) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (-.f64 (*.f64 (neg.f64 (log.f64 (log.f64 x))) (neg.f64 (log.f64 (log.f64 x)))) (*.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 x) 2) (*.f64 (neg.f64 (log.f64 (log.f64 x))) (neg.f64 (log.f64 (log.f64 x))))) (-.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))) |
(pow.f64 (log.f64 (/.f64 x (log.f64 x))) 1) |
(pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 3) |
(pow.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 3) 1/3) |
(pow.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2) |
(sqrt.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 2)) |
(log.f64 (/.f64 x (log.f64 x))) |
(cbrt.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 3)) |
(expm1.f64 (log1p.f64 (log.f64 (/.f64 x (log.f64 x))))) |
(exp.f64 (log.f64 (log.f64 (/.f64 x (log.f64 x))))) |
(log1p.f64 (-.f64 (/.f64 x (log.f64 x)) 1)) |
(fma.f64 1 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) |
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (neg.f64 (log.f64 (log.f64 x)))) |
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (neg.f64 (log.f64 (log.f64 x)))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (log.f64 (cbrt.f64 (log.f64 x)))) |
(+.f64 0 (log.f64 (log.f64 x))) |
(+.f64 (log.f64 (sqrt.f64 (log.f64 x))) (log.f64 (sqrt.f64 (log.f64 x)))) |
(-.f64 (+.f64 1 (log.f64 (log.f64 x))) 1) |
(*.f64 (log.f64 (log.f64 x)) 1) |
(*.f64 1 (log.f64 (log.f64 x))) |
(*.f64 (cbrt.f64 (log.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 2) (cbrt.f64 (log.f64 (log.f64 x)))) |
(*.f64 (sqrt.f64 (log.f64 (log.f64 x))) (sqrt.f64 (log.f64 (log.f64 x)))) |
(pow.f64 (log.f64 (log.f64 x)) 1) |
(pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 3) |
(pow.f64 (pow.f64 (log.f64 (log.f64 x)) 3) 1/3) |
(pow.f64 (sqrt.f64 (log.f64 (log.f64 x))) 2) |
(sqrt.f64 (pow.f64 (log.f64 (log.f64 x)) 2)) |
(cbrt.f64 (pow.f64 (log.f64 (log.f64 x)) 3)) |
(expm1.f64 (log1p.f64 (log.f64 (log.f64 x)))) |
(exp.f64 (log.f64 (log.f64 (log.f64 x)))) |
(log1p.f64 (-.f64 (log.f64 x) 1)) |
| 1× | egg-herbie |
| 1670× | fma-def |
| 1224× | hypot-def |
| 766× | log-prod |
| 628× | unswap-sqr |
| 520× | distribute-lft-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 135 | 2421 |
| 1 | 312 | 1589 |
| 2 | 1216 | 1589 |
| 3 | 7360 | 1589 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (*.f64 -1 (log.f64 (/.f64 1 x))))) |
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (*.f64 -1 (log.f64 (/.f64 1 x))))) |
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (*.f64 -1 (log.f64 (/.f64 1 x))))) |
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (*.f64 -1 (log.f64 (/.f64 1 x))))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (log.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (log.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (log.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (log.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(log.f64 (*.f64 -1 (log.f64 (/.f64 1 x)))) |
(log.f64 (*.f64 -1 (log.f64 (/.f64 1 x)))) |
(log.f64 (*.f64 -1 (log.f64 (/.f64 1 x)))) |
(log.f64 (*.f64 -1 (log.f64 (/.f64 1 x)))) |
(log.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) |
(log.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) |
(log.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) |
(log.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) |
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) |
(+.f64 (log.f64 x) (*.f64 (neg.f64 (log.f64 (log.f64 x))) 1)) |
(+.f64 (log.f64 (/.f64 x (log.f64 x))) (fma.f64 (neg.f64 (log.f64 (log.f64 x))) 1 (log.f64 (log.f64 x)))) |
(+.f64 (log.f64 (/.f64 x (log.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (log.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 2) (log.f64 (log.f64 x)))) |
(+.f64 (log.f64 (/.f64 x (log.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 (log.f64 x)))) (sqrt.f64 (log.f64 (log.f64 x))) (log.f64 (log.f64 x)))) |
(+.f64 (neg.f64 (log.f64 (log.f64 x))) (log.f64 x)) |
(*.f64 (log.f64 (/.f64 x (log.f64 x))) 1) |
(*.f64 1 (log.f64 (/.f64 x (log.f64 x)))) |
(*.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2) (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))) |
(*.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))) |
(*.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (log.f64 x)) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x))))))) |
(*.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (log.f64 x)) 2)) (/.f64 1 (log.f64 (*.f64 x (log.f64 x))))) |
(*.f64 (+.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 (log.f64 x)))) (-.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 (log.f64 x))))) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x))))) (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (log.f64 x)) 3)))) |
(/.f64 1 (/.f64 (log.f64 (*.f64 x (log.f64 x))) (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (log.f64 x)) 2)))) |
(/.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (log.f64 x)) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x)))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (log.f64 x)) 2)) (log.f64 (*.f64 x (log.f64 x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (log.f64 x)) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (log.f64 x)) 2))) (neg.f64 (log.f64 (*.f64 x (log.f64 x))))) |
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (neg.f64 (log.f64 (log.f64 x))) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (-.f64 (*.f64 (neg.f64 (log.f64 (log.f64 x))) (neg.f64 (log.f64 (log.f64 x)))) (*.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 x) 2) (*.f64 (neg.f64 (log.f64 (log.f64 x))) (neg.f64 (log.f64 (log.f64 x))))) (-.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))) |
(pow.f64 (log.f64 (/.f64 x (log.f64 x))) 1) |
(pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 3) |
(pow.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 3) 1/3) |
(pow.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2) |
(sqrt.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 2)) |
(log.f64 (/.f64 x (log.f64 x))) |
(cbrt.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 3)) |
(expm1.f64 (log1p.f64 (log.f64 (/.f64 x (log.f64 x))))) |
(exp.f64 (log.f64 (log.f64 (/.f64 x (log.f64 x))))) |
(log1p.f64 (-.f64 (/.f64 x (log.f64 x)) 1)) |
(fma.f64 1 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) |
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (neg.f64 (log.f64 (log.f64 x)))) |
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (neg.f64 (log.f64 (log.f64 x)))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (log.f64 (cbrt.f64 (log.f64 x)))) |
(+.f64 0 (log.f64 (log.f64 x))) |
(+.f64 (log.f64 (sqrt.f64 (log.f64 x))) (log.f64 (sqrt.f64 (log.f64 x)))) |
(-.f64 (+.f64 1 (log.f64 (log.f64 x))) 1) |
(*.f64 (log.f64 (log.f64 x)) 1) |
(*.f64 1 (log.f64 (log.f64 x))) |
(*.f64 (cbrt.f64 (log.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 2) (cbrt.f64 (log.f64 (log.f64 x)))) |
(*.f64 (sqrt.f64 (log.f64 (log.f64 x))) (sqrt.f64 (log.f64 (log.f64 x)))) |
(pow.f64 (log.f64 (log.f64 x)) 1) |
(pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 3) |
(pow.f64 (pow.f64 (log.f64 (log.f64 x)) 3) 1/3) |
(pow.f64 (sqrt.f64 (log.f64 (log.f64 x))) 2) |
(sqrt.f64 (pow.f64 (log.f64 (log.f64 x)) 2)) |
(cbrt.f64 (pow.f64 (log.f64 (log.f64 x)) 3)) |
(expm1.f64 (log1p.f64 (log.f64 (log.f64 x)))) |
(exp.f64 (log.f64 (log.f64 (log.f64 x)))) |
(log1p.f64 (-.f64 (log.f64 x) 1)) |
| Outputs |
|---|
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (*.f64 -1 (log.f64 (/.f64 1 x))))) |
(-.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 (neg.f64 (neg.f64 (log.f64 x))))) |
(log.f64 (/.f64 x (log.f64 x))) |
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (*.f64 -1 (log.f64 (/.f64 1 x))))) |
(-.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 (neg.f64 (neg.f64 (log.f64 x))))) |
(log.f64 (/.f64 x (log.f64 x))) |
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (*.f64 -1 (log.f64 (/.f64 1 x))))) |
(-.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 (neg.f64 (neg.f64 (log.f64 x))))) |
(log.f64 (/.f64 x (log.f64 x))) |
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (*.f64 -1 (log.f64 (/.f64 1 x))))) |
(-.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 (neg.f64 (neg.f64 (log.f64 x))))) |
(log.f64 (/.f64 x (log.f64 x))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (log.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
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(log.f64 (log.f64 x)) |
(log1p.f64 (-.f64 (log.f64 x) 1)) |
(log1p.f64 (+.f64 (log.f64 x) -1)) |
(log1p.f64 (+.f64 -1 (log.f64 x))) |
Compiled 904 to 376 computations (58.4% saved)
2 alts after pruning (1 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 70 | 1 | 71 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 70 | 2 | 72 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.6% | (-.f64 (log.f64 x) (log.f64 (log.f64 x))) |
| ▶ | 100.0% | (log.f64 (/.f64 x (log.f64 x))) |
| ✓ | 99.6% | (-.f64 (log.f64 x) (log.f64 (log.f64 x))) |
| ▶ | 100.0% | (log.f64 (/.f64 x (log.f64 x))) |
Compiled 26 to 16 computations (38.5% saved)
Found 2 expressions with local accuracy:
| New | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (log.f64 (/.f64 x (log.f64 x))) |
| ✓ | 99.6% | (/.f64 x (log.f64 x)) |
Compiled 14 to 5 computations (64.3% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 60.0ms | x | @ | inf | (log.f64 (/.f64 x (log.f64 x))) |
| 13.0ms | x | @ | -inf | (log.f64 (/.f64 x (log.f64 x))) |
| 12.0ms | x | @ | 0 | (log.f64 (/.f64 x (log.f64 x))) |
| 7.0ms | x | @ | inf | (/.f64 x (log.f64 x)) |
| 4.0ms | x | @ | -inf | (/.f64 x (log.f64 x)) |
| 1× | batch-egg-rewrite |
| 1380× | pow1 |
| 1266× | add-exp-log |
| 1266× | log1p-expm1-u |
| 1266× | expm1-log1p-u |
| 1230× | add-log-exp |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 26 |
| 1 | 136 | 26 |
| 2 | 1717 | 26 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 x (log.f64 x)) |
(log.f64 (/.f64 x (log.f64 x))) |
| Outputs |
|---|
(+.f64 1 (-.f64 (/.f64 x (log.f64 x)) 1)) |
(-.f64 (+.f64 1 (/.f64 x (log.f64 x))) 1) |
(*.f64 x (/.f64 1 (log.f64 x))) |
(*.f64 (/.f64 x (log.f64 x)) 1) |
(*.f64 1 (/.f64 x (log.f64 x))) |
(*.f64 (cbrt.f64 (/.f64 x (log.f64 x))) (pow.f64 (cbrt.f64 (/.f64 x (log.f64 x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (log.f64 x))) 2) (cbrt.f64 (/.f64 x (log.f64 x)))) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (log.f64 x)))) |
(*.f64 (sqrt.f64 (/.f64 x (log.f64 x))) (sqrt.f64 (/.f64 x (log.f64 x)))) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (log.f64 x)))) |
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (log.f64 x)))) |
(*.f64 (/.f64 1 (log.f64 x)) x) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (/.f64 x (cbrt.f64 (log.f64 x)))) |
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 x))) (/.f64 x (sqrt.f64 (log.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (log.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (/.f64 x (log.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (log.f64 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (log.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (log.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (log.f64 x)))) |
(pow.f64 (/.f64 x (log.f64 x)) 1) |
(pow.f64 (cbrt.f64 (/.f64 x (log.f64 x))) 3) |
(pow.f64 (pow.f64 (/.f64 x (log.f64 x)) 3) 1/3) |
(pow.f64 (sqrt.f64 (/.f64 x (log.f64 x))) 2) |
(pow.f64 (/.f64 (log.f64 x) x) -1) |
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))) (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2)) (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))) |
(pow.f64 (exp.f64 1) (log.f64 (/.f64 x (log.f64 x)))) |
(neg.f64 (/.f64 x (neg.f64 (log.f64 x)))) |
(sqrt.f64 (pow.f64 (/.f64 x (log.f64 x)) 2)) |
(log.f64 (exp.f64 (/.f64 x (log.f64 x)))) |
(cbrt.f64 (pow.f64 (/.f64 x (log.f64 x)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 x (log.f64 x)))) |
(exp.f64 (log.f64 (/.f64 x (log.f64 x)))) |
(log1p.f64 (expm1.f64 (/.f64 x (log.f64 x)))) |
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) |
(+.f64 (log.f64 (sqrt.f64 (/.f64 x (log.f64 x)))) (log.f64 (sqrt.f64 (/.f64 x (log.f64 x))))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 x (log.f64 x))) 2)) (log.f64 (cbrt.f64 (/.f64 x (log.f64 x))))) |
(+.f64 0 (log.f64 (/.f64 x (log.f64 x)))) |
(-.f64 (log.f64 x) (log.f64 (log.f64 x))) |
(-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 (log.f64 x)))) |
(-.f64 0 (log.f64 (/.f64 (log.f64 x) x))) |
(-.f64 (+.f64 1 (log.f64 (/.f64 x (log.f64 x)))) 1) |
(*.f64 (log.f64 (/.f64 x (log.f64 x))) 1) |
(*.f64 1 (log.f64 (/.f64 x (log.f64 x)))) |
(*.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2) (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))) |
(*.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (log.f64 x)) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (+.f64 (*.f64 (log.f64 (log.f64 x)) (log.f64 (log.f64 x))) (*.f64 (log.f64 x) (log.f64 (log.f64 x)))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 (log.f64 x)) (log.f64 (log.f64 x)))) (+.f64 (log.f64 x) (log.f64 (log.f64 x)))) |
(pow.f64 (log.f64 (/.f64 x (log.f64 x))) 1) |
(pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 3) |
(pow.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 3) 1/3) |
(pow.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2) |
(neg.f64 (log.f64 (/.f64 (log.f64 x) x))) |
(sqrt.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 2)) |
(cbrt.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 3)) |
(expm1.f64 (log1p.f64 (log.f64 (/.f64 x (log.f64 x))))) |
(exp.f64 (log.f64 (log.f64 (/.f64 x (log.f64 x))))) |
(log1p.f64 (-.f64 (/.f64 x (log.f64 x)) 1)) |
(fma.f64 1 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) |
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (neg.f64 (log.f64 (log.f64 x)))) |
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (neg.f64 (log.f64 (log.f64 x)))) |
| 1× | egg-herbie |
| 1550× | log-prod |
| 1302× | fma-neg |
| 964× | fma-def |
| 890× | unswap-sqr |
| 534× | times-frac |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 161 | 1732 |
| 1 | 366 | 1408 |
| 2 | 1180 | 1408 |
| 3 | 6857 | 1408 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (/.f64 x (log.f64 (/.f64 1 x)))) |
(*.f64 -1 (/.f64 x (log.f64 (/.f64 1 x)))) |
(*.f64 -1 (/.f64 x (log.f64 (/.f64 1 x)))) |
(*.f64 -1 (/.f64 x (log.f64 (/.f64 1 x)))) |
(/.f64 x (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) |
(/.f64 x (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) |
(/.f64 x (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) |
(/.f64 x (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) |
(+.f64 (log.f64 (/.f64 1 (log.f64 x))) (log.f64 x)) |
(+.f64 (log.f64 (/.f64 1 (log.f64 x))) (log.f64 x)) |
(+.f64 (log.f64 (/.f64 1 (log.f64 x))) (log.f64 x)) |
(+.f64 (log.f64 (/.f64 1 (log.f64 x))) (log.f64 x)) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 -1 (log.f64 (/.f64 1 x))))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 -1 (log.f64 (/.f64 1 x))))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 -1 (log.f64 (/.f64 1 x))))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 -1 (log.f64 (/.f64 1 x))))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) |
(+.f64 1 (-.f64 (/.f64 x (log.f64 x)) 1)) |
(-.f64 (+.f64 1 (/.f64 x (log.f64 x))) 1) |
(*.f64 x (/.f64 1 (log.f64 x))) |
(*.f64 (/.f64 x (log.f64 x)) 1) |
(*.f64 1 (/.f64 x (log.f64 x))) |
(*.f64 (cbrt.f64 (/.f64 x (log.f64 x))) (pow.f64 (cbrt.f64 (/.f64 x (log.f64 x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (log.f64 x))) 2) (cbrt.f64 (/.f64 x (log.f64 x)))) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (log.f64 x)))) |
(*.f64 (sqrt.f64 (/.f64 x (log.f64 x))) (sqrt.f64 (/.f64 x (log.f64 x)))) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (log.f64 x)))) |
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (log.f64 x)))) |
(*.f64 (/.f64 1 (log.f64 x)) x) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (/.f64 x (cbrt.f64 (log.f64 x)))) |
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 x))) (/.f64 x (sqrt.f64 (log.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (log.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (/.f64 x (log.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (log.f64 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (log.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (log.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (log.f64 x)))) |
(pow.f64 (/.f64 x (log.f64 x)) 1) |
(pow.f64 (cbrt.f64 (/.f64 x (log.f64 x))) 3) |
(pow.f64 (pow.f64 (/.f64 x (log.f64 x)) 3) 1/3) |
(pow.f64 (sqrt.f64 (/.f64 x (log.f64 x))) 2) |
(pow.f64 (/.f64 (log.f64 x) x) -1) |
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))) (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2)) (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))) |
(pow.f64 (exp.f64 1) (log.f64 (/.f64 x (log.f64 x)))) |
(neg.f64 (/.f64 x (neg.f64 (log.f64 x)))) |
(sqrt.f64 (pow.f64 (/.f64 x (log.f64 x)) 2)) |
(log.f64 (exp.f64 (/.f64 x (log.f64 x)))) |
(cbrt.f64 (pow.f64 (/.f64 x (log.f64 x)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 x (log.f64 x)))) |
(exp.f64 (log.f64 (/.f64 x (log.f64 x)))) |
(log1p.f64 (expm1.f64 (/.f64 x (log.f64 x)))) |
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) |
(+.f64 (log.f64 (sqrt.f64 (/.f64 x (log.f64 x)))) (log.f64 (sqrt.f64 (/.f64 x (log.f64 x))))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 x (log.f64 x))) 2)) (log.f64 (cbrt.f64 (/.f64 x (log.f64 x))))) |
(+.f64 0 (log.f64 (/.f64 x (log.f64 x)))) |
(-.f64 (log.f64 x) (log.f64 (log.f64 x))) |
(-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 (log.f64 x)))) |
(-.f64 0 (log.f64 (/.f64 (log.f64 x) x))) |
(-.f64 (+.f64 1 (log.f64 (/.f64 x (log.f64 x)))) 1) |
(*.f64 (log.f64 (/.f64 x (log.f64 x))) 1) |
(*.f64 1 (log.f64 (/.f64 x (log.f64 x)))) |
(*.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2) (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))) |
(*.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (log.f64 x)) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (+.f64 (*.f64 (log.f64 (log.f64 x)) (log.f64 (log.f64 x))) (*.f64 (log.f64 x) (log.f64 (log.f64 x)))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 (log.f64 x)) (log.f64 (log.f64 x)))) (+.f64 (log.f64 x) (log.f64 (log.f64 x)))) |
(pow.f64 (log.f64 (/.f64 x (log.f64 x))) 1) |
(pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 3) |
(pow.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 3) 1/3) |
(pow.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2) |
(neg.f64 (log.f64 (/.f64 (log.f64 x) x))) |
(sqrt.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 2)) |
(cbrt.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 3)) |
(expm1.f64 (log1p.f64 (log.f64 (/.f64 x (log.f64 x))))) |
(exp.f64 (log.f64 (log.f64 (/.f64 x (log.f64 x))))) |
(log1p.f64 (-.f64 (/.f64 x (log.f64 x)) 1)) |
(fma.f64 1 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) |
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (neg.f64 (log.f64 (log.f64 x)))) |
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (neg.f64 (log.f64 (log.f64 x)))) |
| Outputs |
|---|
(*.f64 -1 (/.f64 x (log.f64 (/.f64 1 x)))) |
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x))) |
(/.f64 x (log.f64 x)) |
(*.f64 -1 (/.f64 x (log.f64 (/.f64 1 x)))) |
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x))) |
(/.f64 x (log.f64 x)) |
(*.f64 -1 (/.f64 x (log.f64 (/.f64 1 x)))) |
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x))) |
(/.f64 x (log.f64 x)) |
(*.f64 -1 (/.f64 x (log.f64 (/.f64 1 x)))) |
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x))) |
(/.f64 x (log.f64 x)) |
(/.f64 x (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) |
(/.f64 x (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) |
(/.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) |
(/.f64 x (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) |
(/.f64 x (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) |
(/.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) |
(/.f64 x (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) |
(/.f64 x (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) |
(/.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) |
(/.f64 x (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) |
(/.f64 x (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) |
(/.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) |
(+.f64 (log.f64 (/.f64 1 (log.f64 x))) (log.f64 x)) |
(log.f64 (/.f64 x (log.f64 x))) |
(+.f64 (log.f64 (/.f64 1 (log.f64 x))) (log.f64 x)) |
(log.f64 (/.f64 x (log.f64 x))) |
(+.f64 (log.f64 (/.f64 1 (log.f64 x))) (log.f64 x)) |
(log.f64 (/.f64 x (log.f64 x))) |
(+.f64 (log.f64 (/.f64 1 (log.f64 x))) (log.f64 x)) |
(log.f64 (/.f64 x (log.f64 x))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 -1 (log.f64 (/.f64 1 x))))) |
(log.f64 (/.f64 x (log.f64 x))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 -1 (log.f64 (/.f64 1 x))))) |
(log.f64 (/.f64 x (log.f64 x))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 -1 (log.f64 (/.f64 1 x))))) |
(log.f64 (/.f64 x (log.f64 x))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 -1 (log.f64 (/.f64 1 x))))) |
(log.f64 (/.f64 x (log.f64 x))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) |
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))) |
(-.f64 (log.f64 (/.f64 -1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (log.f64 (/.f64 -1 x))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) |
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))) |
(-.f64 (log.f64 (/.f64 -1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (log.f64 (/.f64 -1 x))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) |
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))) |
(-.f64 (log.f64 (/.f64 -1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (log.f64 (/.f64 -1 x))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) |
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))) |
(-.f64 (log.f64 (/.f64 -1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (log.f64 (/.f64 -1 x))) |
(+.f64 1 (-.f64 (/.f64 x (log.f64 x)) 1)) |
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x))) |
(/.f64 x (log.f64 x)) |
(-.f64 (+.f64 1 (/.f64 x (log.f64 x))) 1) |
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x))) |
(/.f64 x (log.f64 x)) |
(*.f64 x (/.f64 1 (log.f64 x))) |
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x))) |
(/.f64 x (log.f64 x)) |
(*.f64 (/.f64 x (log.f64 x)) 1) |
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x))) |
(/.f64 x (log.f64 x)) |
(*.f64 1 (/.f64 x (log.f64 x))) |
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x))) |
(/.f64 x (log.f64 x)) |
(*.f64 (cbrt.f64 (/.f64 x (log.f64 x))) (pow.f64 (cbrt.f64 (/.f64 x (log.f64 x))) 2)) |
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x))) |
(/.f64 x (log.f64 x)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (log.f64 x))) 2) (cbrt.f64 (/.f64 x (log.f64 x)))) |
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x))) |
(/.f64 x (log.f64 x)) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (log.f64 x)))) |
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x))) |
(/.f64 x (log.f64 x)) |
(*.f64 (sqrt.f64 (/.f64 x (log.f64 x))) (sqrt.f64 (/.f64 x (log.f64 x)))) |
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x))) |
(/.f64 x (log.f64 x)) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (log.f64 x)))) |
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x))) |
(/.f64 x (log.f64 x)) |
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (log.f64 x)))) |
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x))) |
(/.f64 x (log.f64 x)) |
(*.f64 (/.f64 1 (log.f64 x)) x) |
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x))) |
(/.f64 x (log.f64 x)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (/.f64 x (cbrt.f64 (log.f64 x)))) |
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x))) |
(/.f64 x (log.f64 x)) |
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 x))) (/.f64 x (sqrt.f64 (log.f64 x)))) |
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x))) |
(/.f64 x (log.f64 x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (log.f64 x))) |
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x))) |
(/.f64 x (log.f64 x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (/.f64 x (log.f64 x)))) |
(*.f64 (cbrt.f64 (/.f64 x (log.f64 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (log.f64 x)) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (log.f64 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (log.f64 x)))) |
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x))) |
(/.f64 x (log.f64 x)) |
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (log.f64 x))) |
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x))) |
(/.f64 x (log.f64 x)) |
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (log.f64 x)))) |
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x))) |
(/.f64 x (log.f64 x)) |
(pow.f64 (/.f64 x (log.f64 x)) 1) |
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x))) |
(/.f64 x (log.f64 x)) |
(pow.f64 (cbrt.f64 (/.f64 x (log.f64 x))) 3) |
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x))) |
(/.f64 x (log.f64 x)) |
(pow.f64 (pow.f64 (/.f64 x (log.f64 x)) 3) 1/3) |
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x))) |
(/.f64 x (log.f64 x)) |
(pow.f64 (sqrt.f64 (/.f64 x (log.f64 x))) 2) |
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x))) |
(/.f64 x (log.f64 x)) |
(pow.f64 (/.f64 (log.f64 x) x) -1) |
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x))) |
(/.f64 x (log.f64 x)) |
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))) (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))) |
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x))) |
(/.f64 x (log.f64 x)) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2)) (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))) |
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x))) |
(/.f64 x (log.f64 x)) |
(pow.f64 (exp.f64 1) (log.f64 (/.f64 x (log.f64 x)))) |
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x))) |
(/.f64 x (log.f64 x)) |
(neg.f64 (/.f64 x (neg.f64 (log.f64 x)))) |
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x))) |
(/.f64 x (log.f64 x)) |
(sqrt.f64 (pow.f64 (/.f64 x (log.f64 x)) 2)) |
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x))) |
(/.f64 x (log.f64 x)) |
(log.f64 (exp.f64 (/.f64 x (log.f64 x)))) |
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x))) |
(/.f64 x (log.f64 x)) |
(cbrt.f64 (pow.f64 (/.f64 x (log.f64 x)) 3)) |
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x))) |
(/.f64 x (log.f64 x)) |
(expm1.f64 (log1p.f64 (/.f64 x (log.f64 x)))) |
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x))) |
(/.f64 x (log.f64 x)) |
(exp.f64 (log.f64 (/.f64 x (log.f64 x)))) |
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x))) |
(/.f64 x (log.f64 x)) |
(log1p.f64 (expm1.f64 (/.f64 x (log.f64 x)))) |
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x))) |
(/.f64 x (log.f64 x)) |
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) |
(log.f64 (/.f64 x (log.f64 x))) |
(+.f64 (log.f64 (sqrt.f64 (/.f64 x (log.f64 x)))) (log.f64 (sqrt.f64 (/.f64 x (log.f64 x))))) |
(log.f64 (/.f64 x (log.f64 x))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 x (log.f64 x))) 2)) (log.f64 (cbrt.f64 (/.f64 x (log.f64 x))))) |
(log.f64 (/.f64 x (log.f64 x))) |
(+.f64 0 (log.f64 (/.f64 x (log.f64 x)))) |
(log.f64 (/.f64 x (log.f64 x))) |
(-.f64 (log.f64 x) (log.f64 (log.f64 x))) |
(log.f64 (/.f64 x (log.f64 x))) |
(-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 (log.f64 x)))) |
(log.f64 (/.f64 x (log.f64 x))) |
(-.f64 0 (log.f64 (/.f64 (log.f64 x) x))) |
(log.f64 (/.f64 x (log.f64 x))) |
(-.f64 (+.f64 1 (log.f64 (/.f64 x (log.f64 x)))) 1) |
(log.f64 (/.f64 x (log.f64 x))) |
(*.f64 (log.f64 (/.f64 x (log.f64 x))) 1) |
(log.f64 (/.f64 x (log.f64 x))) |
(*.f64 1 (log.f64 (/.f64 x (log.f64 x)))) |
(log.f64 (/.f64 x (log.f64 x))) |
(*.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2)) |
(log.f64 (/.f64 x (log.f64 x))) |
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2) (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))) |
(log.f64 (/.f64 x (log.f64 x))) |
(*.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))) |
(log.f64 (/.f64 x (log.f64 x))) |
(/.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (log.f64 x)) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (+.f64 (*.f64 (log.f64 (log.f64 x)) (log.f64 (log.f64 x))) (*.f64 (log.f64 x) (log.f64 (log.f64 x)))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (log.f64 x)) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 (log.f64 x)) (+.f64 (log.f64 x) (log.f64 (log.f64 x)))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (log.f64 x)) 3)) (fma.f64 (log.f64 (log.f64 x)) (+.f64 (log.f64 x) (log.f64 (log.f64 x))) (pow.f64 (log.f64 x) 2))) |
(/.f64 (-.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 (log.f64 x)) (log.f64 (log.f64 x)))) (+.f64 (log.f64 x) (log.f64 (log.f64 x)))) |
(pow.f64 (log.f64 (/.f64 x (log.f64 x))) 1) |
(log.f64 (/.f64 x (log.f64 x))) |
(pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 3) |
(log.f64 (/.f64 x (log.f64 x))) |
(pow.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 3) 1/3) |
(log.f64 (/.f64 x (log.f64 x))) |
(pow.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2) |
(log.f64 (/.f64 x (log.f64 x))) |
(neg.f64 (log.f64 (/.f64 (log.f64 x) x))) |
(log.f64 (/.f64 x (log.f64 x))) |
(sqrt.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 2)) |
(log.f64 (/.f64 x (log.f64 x))) |
(cbrt.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 3)) |
(log.f64 (/.f64 x (log.f64 x))) |
(expm1.f64 (log1p.f64 (log.f64 (/.f64 x (log.f64 x))))) |
(log.f64 (/.f64 x (log.f64 x))) |
(exp.f64 (log.f64 (log.f64 (/.f64 x (log.f64 x))))) |
(log.f64 (/.f64 x (log.f64 x))) |
(log1p.f64 (-.f64 (/.f64 x (log.f64 x)) 1)) |
(log.f64 (/.f64 x (log.f64 x))) |
(fma.f64 1 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))) |
(log.f64 (/.f64 x (log.f64 x))) |
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (neg.f64 (log.f64 (log.f64 x)))) |
(log.f64 (/.f64 x (log.f64 x))) |
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (neg.f64 (log.f64 (log.f64 x)))) |
(log.f64 (/.f64 x (log.f64 x))) |
Compiled 835 to 363 computations (56.5% saved)
2 alts after pruning (0 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 77 | 0 | 77 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 77 | 2 | 79 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.6% | (-.f64 (log.f64 x) (log.f64 (log.f64 x))) |
| ✓ | 100.0% | (log.f64 (/.f64 x (log.f64 x))) |
Compiled 25 to 14 computations (44% saved)
Total -0.2b remaining (-6000%)
Threshold costs -0.2b (-6000%)
| Inputs |
|---|
(log.f64 (/.f64 x (log.f64 x))) |
(-.f64 (log.f64 x) (log.f64 (log.f64 x))) |
| Outputs |
|---|
(log.f64 (/.f64 x (log.f64 x))) |
3 calls:
| 39.0ms | (-.f64 (log.f64 x) (log.f64 (log.f64 x))) |
| 3.0ms | x |
| 3.0ms | (log.f64 x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | (-.f64 (log.f64 x) (log.f64 (log.f64 x))) |
| 100.0% | 1 | (log.f64 x) |
Compiled 24 to 13 computations (45.8% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 15 |
| 1× | done |
| 1× | saturated |
| Inputs |
|---|
(log.f64 (/.f64 x (log.f64 x))) |
| Outputs |
|---|
(log.f64 (/.f64 x (log.f64 x))) |
Compiled 6 to 4 computations (33.3% saved)
| 1670× | fma-def |
| 1224× | hypot-def |
| 766× | log-prod |
| 628× | unswap-sqr |
| 520× | distribute-lft-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 135 | 2421 |
| 1 | 312 | 1589 |
| 2 | 1216 | 1589 |
| 3 | 7360 | 1589 |
| 1× | node limit |
Compiled 78 to 50 computations (35.9% saved)
Compiled 26 to 16 computations (38.5% saved)
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