
Time bar (total: 7.0s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 50% | 50% | 0% | 0% | 0% | 0 |
| 0% | 0% | 50% | 50% | 0% | 0% | 0% | 1 |
| 0% | 0% | 50% | 50% | 0% | 0% | 0% | 2 |
| 0% | 0% | 50% | 50% | 0% | 0% | 0% | 3 |
| 0% | 0% | 50% | 50% | 0% | 0% | 0% | 4 |
| 6.3% | 3.1% | 46.8% | 50% | 0% | 0% | 0% | 5 |
| 9.4% | 4.7% | 45.3% | 50% | 0% | 0% | 0% | 6 |
| 10.9% | 5.5% | 44.5% | 50% | 0% | 0% | 0% | 7 |
| 11.7% | 5.9% | 44.1% | 50% | 0% | 0% | 0% | 8 |
| 12.1% | 6% | 43.9% | 50% | 0% | 0% | 0% | 9 |
| 12.3% | 6.1% | 43.8% | 50% | 0% | 0% | 0% | 10 |
| 12.4% | 6.2% | 43.8% | 50% | 0% | 0% | 0% | 11 |
| 12.5% | 6.2% | 43.7% | 50% | 0% | 0% | 0% | 12 |
Compiled 17 to 13 computations (23.5% saved)
| 2.8s | 4132× | body | 1024 | valid |
| 1.1s | 2069× | body | 512 | valid |
| 419.0ms | 397× | body | 2048 | valid |
| 262.0ms | 1658× | body | 256 | valid |
| 1× | egg-herbie |
| 4580× | fma-def |
| 3900× | associate-+r+ |
| 3404× | associate-+l+ |
| 504× | distribute-lft-out |
| 358× | associate-*r* |
| 251× | (log.f64 (-.f64 1 x)) |
| 4× | (log.f64 (+.f64 1 x)) |
| 1× | No Errors |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 67 |
| 1 | 28 | 57 |
| 2 | 43 | 57 |
| 3 | 74 | 57 |
| 4 | 113 | 57 |
| 5 | 157 | 57 |
| 6 | 185 | 57 |
| 7 | 210 | 57 |
| 8 | 241 | 57 |
| 9 | 338 | 57 |
| 10 | 404 | 57 |
| 11 | 478 | 57 |
| 12 | 523 | 57 |
| 13 | 531 | 57 |
| 14 | 533 | 57 |
| 15 | 755 | 57 |
| 16 | 1016 | 57 |
| 17 | 1149 | 57 |
| 18 | 1313 | 57 |
| 19 | 1319 | 57 |
| 20 | 1319 | 57 |
| 21 | 2143 | 57 |
| 22 | 2398 | 57 |
| 23 | 2646 | 57 |
| 24 | 2779 | 57 |
| 25 | 2794 | 57 |
| 26 | 2794 | 57 |
| 27 | 4548 | 57 |
| 28 | 4548 | 57 |
| 29 | 4548 | 57 |
| 30 | 4548 | 57 |
| 31 | 4548 | 57 |
| 32 | 7751 | 57 |
| 33 | 7800 | 57 |
| 34 | 7982 | 57 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x))) |
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x))) |
(/.f64 (log.f64 (-.f64 1 (neg.f64 x))) (log.f64 (+.f64 1 (neg.f64 x)))) |
| Outputs |
|---|
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x))) |
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) |
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x))) |
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) |
(/.f64 (log.f64 (-.f64 1 (neg.f64 x))) (log.f64 (+.f64 1 (neg.f64 x)))) |
(/.f64 (log.f64 (-.f64 1 (neg.f64 x))) (log1p.f64 (neg.f64 x))) |
(/.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) |
Compiled 37 to 28 computations (24.3% saved)
Compiled 7 to 5 computations (28.6% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) |
| ▶ | 100.0% | (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) |
Compiled 14 to 10 computations (28.6% saved)
Found 1 expressions with local error:
| New | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) |
Compiled 16 to 6 computations (62.5% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) |
| 2.0ms | x | @ | -inf | (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) |
| 0.0ms | x | @ | 0 | (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) |
| 1× | batch-egg-rewrite |
| 1218× | pow1 |
| 1116× | add-exp-log |
| 1116× | log1p-expm1-u |
| 1116× | expm1-log1p-u |
| 1088× | add-log-exp |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 19 |
| 1 | 164 | 15 |
| 2 | 2156 | 15 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) |
| Outputs |
|---|
(-.f64 (+.f64 1 (/.f64 (log1p.f64 x) (log1p.f64 x))) 1) |
(*.f64 (log1p.f64 x) (/.f64 1 (log1p.f64 x))) |
(*.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 1) |
(*.f64 1 (/.f64 (log1p.f64 x) (log1p.f64 x))) |
(*.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 2) (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)))) |
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (*.f64 (cbrt.f64 (log1p.f64 x)) (/.f64 1 (log1p.f64 x)))) |
(*.f64 (sqrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) (sqrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)))) |
(*.f64 (sqrt.f64 (log1p.f64 x)) (*.f64 (sqrt.f64 (log1p.f64 x)) (/.f64 1 (log1p.f64 x)))) |
(*.f64 (neg.f64 (log1p.f64 x)) (/.f64 1 (neg.f64 (log1p.f64 x)))) |
(*.f64 (/.f64 1 (log1p.f64 x)) (log1p.f64 x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (sqrt.f64 (log1p.f64 x))) (/.f64 (cbrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 (log1p.f64 x) (cbrt.f64 (log1p.f64 x)))) |
(*.f64 (/.f64 1 (sqrt.f64 (log1p.f64 x))) (/.f64 (log1p.f64 x) (sqrt.f64 (log1p.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) 1) (/.f64 (cbrt.f64 (log1p.f64 x)) (log1p.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) 1) (/.f64 (sqrt.f64 (log1p.f64 x)) (log1p.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 (sqrt.f64 (log1p.f64 x)) (cbrt.f64 (log1p.f64 x)))) |
(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 1) |
(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) -1) |
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 3) |
(pow.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 3) 1/3) |
(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 2) |
(neg.f64 (/.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x)))) |
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 2)) |
(log.f64 (exp.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)))) |
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)))) |
(exp.f64 (log.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)))) |
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)))) |
| 1× | egg-herbie |
| 1214× | associate-/r* |
| 1044× | fma-def |
| 900× | times-frac |
| 606× | associate-/l* |
| 568× | associate--r+ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 189 | 2510 |
| 1 | 604 | 2216 |
| 2 | 1818 | 2008 |
| 1× | node limit |
| Inputs |
|---|
-1 |
(-.f64 (*.f64 -1 x) 1) |
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2))) 1) |
(-.f64 (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))) 1) |
(*.f64 -1 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x)))) (log.f64 (/.f64 1 x)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x)))) (log.f64 (/.f64 1 x)))) (/.f64 2 (*.f64 x (log.f64 (/.f64 1 x))))) (/.f64 (log.f64 -1) (*.f64 x (pow.f64 (log.f64 (/.f64 1 x)) 2)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x)))) (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 2 (/.f64 1 (*.f64 x (log.f64 (/.f64 1 x))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (log.f64 (/.f64 1 x))))))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (*.f64 (pow.f64 x 2) (log.f64 (/.f64 1 x))))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x)))) (*.f64 (pow.f64 x 2) (pow.f64 (log.f64 (/.f64 1 x)) 2)))) (/.f64 (log.f64 -1) (*.f64 x (pow.f64 (log.f64 (/.f64 1 x)) 2)))))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x)))) (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 x 3) (log.f64 (/.f64 1 x))))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (log.f64 (/.f64 1 x))))) (*.f64 2 (/.f64 1 (*.f64 x (log.f64 (/.f64 1 x)))))))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (log.f64 (/.f64 1 x)))) (*.f64 -1/2 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x)))) (pow.f64 (log.f64 (/.f64 1 x)) 2))))) (*.f64 (pow.f64 x 3) (log.f64 (/.f64 1 x))))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (*.f64 (pow.f64 x 2) (log.f64 (/.f64 1 x))))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x)))) (*.f64 (pow.f64 x 2) (pow.f64 (log.f64 (/.f64 1 x)) 2)))) (+.f64 (*.f64 1/3 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x)))) (*.f64 (pow.f64 x 3) (pow.f64 (log.f64 (/.f64 1 x)) 2)))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (*.f64 (pow.f64 x 3) (log.f64 (/.f64 1 x))))) (/.f64 (log.f64 -1) (*.f64 x (pow.f64 (log.f64 (/.f64 1 x)) 2))))))))) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) |
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) x))) |
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (+.f64 (*.f64 1/2 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (*.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 2))))) (pow.f64 x 2))) (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) x)))) |
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (+.f64 (*.f64 1/2 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (*.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 2))))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (+.f64 (*.f64 1/3 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) (*.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 3)))))))) (pow.f64 x 3))) (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) x))))) |
(-.f64 (+.f64 1 (/.f64 (log1p.f64 x) (log1p.f64 x))) 1) |
(*.f64 (log1p.f64 x) (/.f64 1 (log1p.f64 x))) |
(*.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 1) |
(*.f64 1 (/.f64 (log1p.f64 x) (log1p.f64 x))) |
(*.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 2) (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)))) |
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (*.f64 (cbrt.f64 (log1p.f64 x)) (/.f64 1 (log1p.f64 x)))) |
(*.f64 (sqrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) (sqrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)))) |
(*.f64 (sqrt.f64 (log1p.f64 x)) (*.f64 (sqrt.f64 (log1p.f64 x)) (/.f64 1 (log1p.f64 x)))) |
(*.f64 (neg.f64 (log1p.f64 x)) (/.f64 1 (neg.f64 (log1p.f64 x)))) |
(*.f64 (/.f64 1 (log1p.f64 x)) (log1p.f64 x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (sqrt.f64 (log1p.f64 x))) (/.f64 (cbrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 (log1p.f64 x) (cbrt.f64 (log1p.f64 x)))) |
(*.f64 (/.f64 1 (sqrt.f64 (log1p.f64 x))) (/.f64 (log1p.f64 x) (sqrt.f64 (log1p.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) 1) (/.f64 (cbrt.f64 (log1p.f64 x)) (log1p.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) 1) (/.f64 (sqrt.f64 (log1p.f64 x)) (log1p.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 (sqrt.f64 (log1p.f64 x)) (cbrt.f64 (log1p.f64 x)))) |
(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 1) |
(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) -1) |
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 3) |
(pow.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 3) 1/3) |
(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 2) |
(neg.f64 (/.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x)))) |
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 2)) |
(log.f64 (exp.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)))) |
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)))) |
(exp.f64 (log.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)))) |
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)))) |
| Outputs |
|---|
-1 |
(-.f64 (*.f64 -1 x) 1) |
(fma.f64 -1 x -1) |
(-.f64 -1 x) |
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2))) 1) |
(+.f64 (fma.f64 -1 x (*.f64 -1/2 (*.f64 x x))) -1) |
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(-.f64 (/.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (+.f64 (/.f64 (-.f64 (/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2))) x) (/.f64 (+.f64 (-.f64 (fma.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))) (*.f64 x x)))) |
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (+.f64 (*.f64 1/2 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (*.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 2))))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (+.f64 (*.f64 1/3 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) (*.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 3)))))))) (pow.f64 x 3))) (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) x))))) |
(fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) (fma.f64 -1 (/.f64 (fma.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) 2))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) (+.f64 (/.f64 1/2 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) (*.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) 2))))) (*.f64 x x)) (*.f64 -1 (+.f64 (/.f64 (-.f64 (/.f64 1/3 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) (fma.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) 2))) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) 2)) (fma.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) 2))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) (fma.f64 1/3 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) 2)) (+.f64 (/.f64 1/2 (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) 2)) (*.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) 3)))))))) (pow.f64 x 3)) (/.f64 (-.f64 (/.f64 1 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) 2))) x))))) |
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (-.f64 (/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)))) x) (/.f64 (-.f64 (/.f64 1/3 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (-.f64 (fma.f64 -1/2 (-.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))) (fma.f64 1/3 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (fma.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3)) (/.f64 1/2 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2))))) (/.f64 (-.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) (pow.f64 x 3))) (/.f64 (-.f64 (fma.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (-.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3)))) (*.f64 x x))) (/.f64 (log.f64 (/.f64 -1 x)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) |
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (/.f64 (-.f64 (/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2))) x)) (/.f64 (-.f64 (-.f64 (/.f64 1/3 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (+.f64 (/.f64 1/2 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (*.f64 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (+.f64 (/.f64 1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 1/3)))) (*.f64 (-.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))) (+.f64 (/.f64 -1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) -1/2))) (pow.f64 x 3))) (/.f64 (+.f64 (-.f64 (fma.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))) (*.f64 x x))) |
(-.f64 (+.f64 1 (/.f64 (log1p.f64 x) (log1p.f64 x))) 1) |
1 |
(*.f64 (log1p.f64 x) (/.f64 1 (log1p.f64 x))) |
1 |
(*.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 1) |
1 |
(*.f64 1 (/.f64 (log1p.f64 x) (log1p.f64 x))) |
1 |
(*.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 2)) |
1 |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 2) (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)))) |
1 |
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (*.f64 (cbrt.f64 (log1p.f64 x)) (/.f64 1 (log1p.f64 x)))) |
1 |
(*.f64 (sqrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) (sqrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)))) |
1 |
(*.f64 (sqrt.f64 (log1p.f64 x)) (*.f64 (sqrt.f64 (log1p.f64 x)) (/.f64 1 (log1p.f64 x)))) |
1 |
(*.f64 (neg.f64 (log1p.f64 x)) (/.f64 1 (neg.f64 (log1p.f64 x)))) |
1 |
(*.f64 (/.f64 1 (log1p.f64 x)) (log1p.f64 x)) |
1 |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (sqrt.f64 (log1p.f64 x))) (/.f64 (cbrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))) |
1 |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 (log1p.f64 x) (cbrt.f64 (log1p.f64 x)))) |
1 |
(*.f64 (/.f64 1 (sqrt.f64 (log1p.f64 x))) (/.f64 (log1p.f64 x) (sqrt.f64 (log1p.f64 x)))) |
1 |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) 1) (/.f64 (cbrt.f64 (log1p.f64 x)) (log1p.f64 x))) |
1 |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)))) |
1 |
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) 1) (/.f64 (sqrt.f64 (log1p.f64 x)) (log1p.f64 x))) |
1 |
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 (sqrt.f64 (log1p.f64 x)) (cbrt.f64 (log1p.f64 x)))) |
1 |
(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 1) |
1 |
(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) -1) |
1 |
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 3) |
1 |
(pow.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 3) 1/3) |
1 |
(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 2) |
1 |
(neg.f64 (/.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x)))) |
1 |
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 2)) |
1 |
(log.f64 (exp.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)))) |
1 |
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 3)) |
1 |
(expm1.f64 (log1p.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)))) |
1 |
(exp.f64 (log.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)))) |
1 |
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)))) |
1 |
Compiled 3247 to 2312 computations (28.8% saved)
4 alts after pruning (3 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 70 | 3 | 73 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 70 | 4 | 74 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) |
| ▶ | 99.7% | (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
| ▶ | 99.4% | (-.f64 -1 x) |
| 98.5% | -1 | |
| ✓ | 100.0% | (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) |
| ▶ | 99.7% | (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
| ▶ | 99.4% | (-.f64 -1 x) |
| 98.5% | -1 |
Compiled 44 to 32 computations (27.3% saved)
Found 1 expressions with local error:
| New | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
Compiled 27 to 18 computations (33.3% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
| 0.0ms | x | @ | inf | (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
| 0.0ms | x | @ | 0 | (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
| 1× | batch-egg-rewrite |
| 1916× | pow1 |
| 1772× | add-exp-log |
| 1772× | log1p-expm1-u |
| 1772× | expm1-log1p-u |
| 1736× | add-log-exp |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 21 |
| 1 | 190 | 21 |
| 2 | 2345 | 21 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
| Outputs |
|---|
(+.f64 (fma.f64 x (*.f64 x -1/2) -1) (neg.f64 x)) |
(+.f64 (fma.f64 x (*.f64 x -1/2) -1) (*.f64 (neg.f64 x) 1)) |
(+.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) (fma.f64 (neg.f64 x) 1 x)) |
(+.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)) |
(+.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)) |
(+.f64 (*.f64 x (*.f64 x -1/2)) (+.f64 -1 (neg.f64 x))) |
(+.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 -1 x)) |
(+.f64 (neg.f64 x) (fma.f64 x (*.f64 x -1/2) -1)) |
(*.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) 1) |
(*.f64 1 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)) |
(*.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)) 2) (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))) |
(*.f64 (sqrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)) (sqrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))) |
(*.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x (+.f64 x (fma.f64 x (*.f64 x -1/2) -1)))))) |
(*.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x x)) (/.f64 1 (+.f64 x (fma.f64 x (*.f64 x -1/2) -1)))) |
(*.f64 (+.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) (sqrt.f64 x))) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x (+.f64 x (fma.f64 x (*.f64 x -1/2) -1)))) (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3) (pow.f64 x 3)))) |
(/.f64 1 (/.f64 (+.f64 x (fma.f64 x (*.f64 x -1/2) -1)) (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x x)))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x (+.f64 x (fma.f64 x (*.f64 x -1/2) -1))))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x x)) (+.f64 x (fma.f64 x (*.f64 x -1/2) -1))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x (+.f64 x (fma.f64 x (*.f64 x -1/2) -1)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x x))) (neg.f64 (+.f64 x (fma.f64 x (*.f64 x -1/2) -1)))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (fma.f64 x (*.f64 x -1/2) -1) (neg.f64 x))))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (fma.f64 x (*.f64 x -1/2) -1) (neg.f64 x))) |
(pow.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) 1) |
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)) 3) |
(pow.f64 (pow.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) 3) 1/3) |
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)) 2) |
(sqrt.f64 (pow.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) 2)) |
(log.f64 (exp.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))) |
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) 3)) |
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))) |
(exp.f64 (log.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))) |
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))) |
(fma.f64 1 (fma.f64 x (*.f64 x -1/2) -1) (neg.f64 x)) |
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) 2) (cbrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) (neg.f64 x)) |
(fma.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) (sqrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) (neg.f64 x)) |
| 1× | egg-herbie |
| 1270× | fma-neg |
| 1140× | fma-def |
| 566× | unsub-neg |
| 520× | distribute-rgt-in |
| 506× | distribute-lft-in |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 109 | 1777 |
| 1 | 287 | 1495 |
| 2 | 1044 | 1355 |
| 3 | 5198 | 1175 |
| 1× | node limit |
| Inputs |
|---|
-1 |
(-.f64 (*.f64 -1 x) 1) |
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2))) 1) |
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2))) 1) |
(*.f64 -1/2 (pow.f64 x 2)) |
(+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2))) |
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2))) 1) |
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2))) 1) |
(*.f64 -1/2 (pow.f64 x 2)) |
(+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2))) |
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2))) 1) |
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2))) 1) |
(+.f64 (fma.f64 x (*.f64 x -1/2) -1) (neg.f64 x)) |
(+.f64 (fma.f64 x (*.f64 x -1/2) -1) (*.f64 (neg.f64 x) 1)) |
(+.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) (fma.f64 (neg.f64 x) 1 x)) |
(+.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)) |
(+.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)) |
(+.f64 (*.f64 x (*.f64 x -1/2)) (+.f64 -1 (neg.f64 x))) |
(+.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 -1 x)) |
(+.f64 (neg.f64 x) (fma.f64 x (*.f64 x -1/2) -1)) |
(*.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) 1) |
(*.f64 1 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)) |
(*.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)) 2) (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))) |
(*.f64 (sqrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)) (sqrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))) |
(*.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x (+.f64 x (fma.f64 x (*.f64 x -1/2) -1)))))) |
(*.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x x)) (/.f64 1 (+.f64 x (fma.f64 x (*.f64 x -1/2) -1)))) |
(*.f64 (+.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) (sqrt.f64 x))) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x (+.f64 x (fma.f64 x (*.f64 x -1/2) -1)))) (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3) (pow.f64 x 3)))) |
(/.f64 1 (/.f64 (+.f64 x (fma.f64 x (*.f64 x -1/2) -1)) (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x x)))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x (+.f64 x (fma.f64 x (*.f64 x -1/2) -1))))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x x)) (+.f64 x (fma.f64 x (*.f64 x -1/2) -1))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x (+.f64 x (fma.f64 x (*.f64 x -1/2) -1)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x x))) (neg.f64 (+.f64 x (fma.f64 x (*.f64 x -1/2) -1)))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (fma.f64 x (*.f64 x -1/2) -1) (neg.f64 x))))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (fma.f64 x (*.f64 x -1/2) -1) (neg.f64 x))) |
(pow.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) 1) |
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)) 3) |
(pow.f64 (pow.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) 3) 1/3) |
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)) 2) |
(sqrt.f64 (pow.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) 2)) |
(log.f64 (exp.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))) |
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) 3)) |
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))) |
(exp.f64 (log.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))) |
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))) |
(fma.f64 1 (fma.f64 x (*.f64 x -1/2) -1) (neg.f64 x)) |
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) 2) (cbrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) (neg.f64 x)) |
(fma.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) (sqrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) (neg.f64 x)) |
| Outputs |
|---|
-1 |
(-.f64 (*.f64 -1 x) 1) |
(-.f64 -1 x) |
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2))) 1) |
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1) |
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
(fma.f64 x (fma.f64 x -1/2 -1) -1) |
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2))) 1) |
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1) |
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
(fma.f64 x (fma.f64 x -1/2 -1) -1) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 x (*.f64 x -1/2)) |
(+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2))) |
(fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) |
(fma.f64 x (*.f64 x -1/2) (neg.f64 x)) |
(*.f64 x (fma.f64 x -1/2 -1)) |
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2))) 1) |
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1) |
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
(fma.f64 x (fma.f64 x -1/2 -1) -1) |
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2))) 1) |
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1) |
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
(fma.f64 x (fma.f64 x -1/2 -1) -1) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 x (*.f64 x -1/2)) |
(+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2))) |
(fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) |
(fma.f64 x (*.f64 x -1/2) (neg.f64 x)) |
(*.f64 x (fma.f64 x -1/2 -1)) |
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2))) 1) |
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1) |
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
(fma.f64 x (fma.f64 x -1/2 -1) -1) |
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2))) 1) |
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1) |
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
(fma.f64 x (fma.f64 x -1/2 -1) -1) |
(+.f64 (fma.f64 x (*.f64 x -1/2) -1) (neg.f64 x)) |
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1) |
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
(fma.f64 x (fma.f64 x -1/2 -1) -1) |
(+.f64 (fma.f64 x (*.f64 x -1/2) -1) (*.f64 (neg.f64 x) 1)) |
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1) |
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
(fma.f64 x (fma.f64 x -1/2 -1) -1) |
(+.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) (fma.f64 (neg.f64 x) 1 x)) |
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1) |
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
(fma.f64 x (fma.f64 x -1/2 -1) -1) |
(+.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)) |
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1) |
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
(fma.f64 x (fma.f64 x -1/2 -1) -1) |
(+.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)) |
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1) |
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
(fma.f64 x (fma.f64 x -1/2 -1) -1) |
(+.f64 (*.f64 x (*.f64 x -1/2)) (+.f64 -1 (neg.f64 x))) |
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1) |
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
(fma.f64 x (fma.f64 x -1/2 -1) -1) |
(+.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 -1 x)) |
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1) |
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
(fma.f64 x (fma.f64 x -1/2 -1) -1) |
(+.f64 (neg.f64 x) (fma.f64 x (*.f64 x -1/2) -1)) |
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1) |
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
(fma.f64 x (fma.f64 x -1/2 -1) -1) |
(*.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) 1) |
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1) |
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
(fma.f64 x (fma.f64 x -1/2 -1) -1) |
(*.f64 1 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)) |
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1) |
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
(fma.f64 x (fma.f64 x -1/2 -1) -1) |
(*.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)) 2)) |
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1) |
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
(fma.f64 x (fma.f64 x -1/2 -1) -1) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)) 2) (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))) |
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1) |
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
(fma.f64 x (fma.f64 x -1/2 -1) -1) |
(*.f64 (sqrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)) (sqrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))) |
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1) |
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
(fma.f64 x (fma.f64 x -1/2 -1) -1) |
(*.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x (+.f64 x (fma.f64 x (*.f64 x -1/2) -1)))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3) (pow.f64 x 3)) 1) (+.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x (+.f64 x (fma.f64 x (*.f64 x -1/2) -1))))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (fma.f64 x (*.f64 x -1/2) -1)) (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (fma.f64 x (*.f64 x -1/2) -1) (fma.f64 x (*.f64 x -1/2) (+.f64 -1 x))))) |
(*.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x x)) (/.f64 1 (+.f64 x (fma.f64 x (*.f64 x -1/2) -1)))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x x)) (+.f64 x (fma.f64 x (*.f64 x -1/2) -1))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x x)) (fma.f64 x (*.f64 x -1/2) (+.f64 -1 x))) |
(/.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1) 1) |
(*.f64 (+.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) (sqrt.f64 x))) |
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1) |
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
(fma.f64 x (fma.f64 x -1/2 -1) -1) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x (+.f64 x (fma.f64 x (*.f64 x -1/2) -1)))) (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3) (pow.f64 x 3)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3) (pow.f64 x 3)) 1) (+.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x (+.f64 x (fma.f64 x (*.f64 x -1/2) -1))))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (fma.f64 x (*.f64 x -1/2) -1)) (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (fma.f64 x (*.f64 x -1/2) -1) (fma.f64 x (*.f64 x -1/2) (+.f64 -1 x))))) |
(/.f64 1 (/.f64 (+.f64 x (fma.f64 x (*.f64 x -1/2) -1)) (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x x)))) |
(*.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x x)) (/.f64 1 (+.f64 x (fma.f64 x (*.f64 x -1/2) -1)))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x x)) (+.f64 x (fma.f64 x (*.f64 x -1/2) -1))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x x)) (fma.f64 x (*.f64 x -1/2) (+.f64 -1 x))) |
(/.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1) 1) |
(/.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x (+.f64 x (fma.f64 x (*.f64 x -1/2) -1))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3) (pow.f64 x 3)) 1) (+.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x (+.f64 x (fma.f64 x (*.f64 x -1/2) -1))))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (fma.f64 x (*.f64 x -1/2) -1)) (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (fma.f64 x (*.f64 x -1/2) -1) (fma.f64 x (*.f64 x -1/2) (+.f64 -1 x))))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x x)) (+.f64 x (fma.f64 x (*.f64 x -1/2) -1))) |
(*.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x x)) (/.f64 1 (+.f64 x (fma.f64 x (*.f64 x -1/2) -1)))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x x)) (fma.f64 x (*.f64 x -1/2) (+.f64 -1 x))) |
(/.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1) 1) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x (+.f64 x (fma.f64 x (*.f64 x -1/2) -1)))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3) (pow.f64 x 3)) 1) (+.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x (+.f64 x (fma.f64 x (*.f64 x -1/2) -1))))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (fma.f64 x (*.f64 x -1/2) -1)) (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (fma.f64 x (*.f64 x -1/2) -1) (fma.f64 x (*.f64 x -1/2) (+.f64 -1 x))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x x))) (neg.f64 (+.f64 x (fma.f64 x (*.f64 x -1/2) -1)))) |
(*.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x x)) (/.f64 1 (+.f64 x (fma.f64 x (*.f64 x -1/2) -1)))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x x)) (+.f64 x (fma.f64 x (*.f64 x -1/2) -1))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x x)) (fma.f64 x (*.f64 x -1/2) (+.f64 -1 x))) |
(/.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1) 1) |
(/.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (fma.f64 x (*.f64 x -1/2) -1) (neg.f64 x))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3) (pow.f64 x 3)) 1) (+.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x (+.f64 x (fma.f64 x (*.f64 x -1/2) -1))))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (fma.f64 x (*.f64 x -1/2) -1)) (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (fma.f64 x (*.f64 x -1/2) -1) (fma.f64 x (*.f64 x -1/2) (+.f64 -1 x))))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (fma.f64 x (*.f64 x -1/2) -1) (neg.f64 x))) |
(*.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x x)) (/.f64 1 (+.f64 x (fma.f64 x (*.f64 x -1/2) -1)))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x x)) (+.f64 x (fma.f64 x (*.f64 x -1/2) -1))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x x)) (fma.f64 x (*.f64 x -1/2) (+.f64 -1 x))) |
(/.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1) 1) |
(pow.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) 1) |
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1) |
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
(fma.f64 x (fma.f64 x -1/2 -1) -1) |
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)) 3) |
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1) |
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
(fma.f64 x (fma.f64 x -1/2 -1) -1) |
(pow.f64 (pow.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) 3) 1/3) |
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1) |
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
(fma.f64 x (fma.f64 x -1/2 -1) -1) |
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)) 2) |
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1) |
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
(fma.f64 x (fma.f64 x -1/2 -1) -1) |
(sqrt.f64 (pow.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) 2)) |
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1) |
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
(fma.f64 x (fma.f64 x -1/2 -1) -1) |
(log.f64 (exp.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))) |
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1) |
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
(fma.f64 x (fma.f64 x -1/2 -1) -1) |
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) 3)) |
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1) |
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
(fma.f64 x (fma.f64 x -1/2 -1) -1) |
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))) |
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1) |
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
(fma.f64 x (fma.f64 x -1/2 -1) -1) |
(exp.f64 (log.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))) |
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1) |
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
(fma.f64 x (fma.f64 x -1/2 -1) -1) |
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))) |
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1) |
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
(fma.f64 x (fma.f64 x -1/2 -1) -1) |
(fma.f64 1 (fma.f64 x (*.f64 x -1/2) -1) (neg.f64 x)) |
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1) |
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
(fma.f64 x (fma.f64 x -1/2 -1) -1) |
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) 2) (cbrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) (neg.f64 x)) |
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1) |
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
(fma.f64 x (fma.f64 x -1/2 -1) -1) |
(fma.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) (sqrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) (neg.f64 x)) |
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1) |
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
(fma.f64 x (fma.f64 x -1/2 -1) -1) |
Compiled 848 to 576 computations (32.1% saved)
5 alts after pruning (2 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 54 | 1 | 55 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 2 | 2 |
| Done | 0 | 1 | 1 |
| Total | 54 | 5 | 59 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) |
| ✓ | 99.7% | (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
| ✓ | 99.4% | (-.f64 -1 x) |
| ▶ | 99.7% | (+.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 -1 x)) |
| 98.5% | -1 | |
| ✓ | 100.0% | (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) |
| ✓ | 99.7% | (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
| ✓ | 99.4% | (-.f64 -1 x) |
| ▶ | 99.7% | (+.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 -1 x)) |
| 98.5% | -1 |
Compiled 64 to 46 computations (28.1% saved)
Found 1 expressions with local error:
| New | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (+.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 -1 x)) |
Compiled 25 to 17 computations (32% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (+.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 -1 x)) |
| 0.0ms | x | @ | 0 | (+.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 -1 x)) |
| 0.0ms | x | @ | -inf | (+.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 -1 x)) |
| 1× | batch-egg-rewrite |
| 940× | log-prod |
| 852× | fma-def |
| 700× | prod-exp |
| 630× | pow-prod-down |
| 432× | pow-exp |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 21 |
| 1 | 205 | 21 |
| 2 | 2761 | 21 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 -1 x)) |
| Outputs |
|---|
(-.f64 -1 (-.f64 x (*.f64 x (*.f64 x -1/2)))) |
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
(-.f64 (exp.f64 (log1p.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))) 1) |
(-.f64 (/.f64 (*.f64 (pow.f64 x 4) 1/4) (+.f64 (fma.f64 x (*.f64 x -1/2) 1) x)) (/.f64 (pow.f64 (-.f64 -1 x) 2) (+.f64 (fma.f64 x (*.f64 x -1/2) 1) x))) |
(*.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) 1) |
(*.f64 1 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)) |
(*.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)) 2) (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))) |
(*.f64 (sqrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)) (sqrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))) |
(*.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (-.f64 -1 x) 3)) (/.f64 1 (fma.f64 (-.f64 -1 x) (-.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2))) (*.f64 (pow.f64 x 4) 1/4)))) |
(*.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 (-.f64 -1 x) 2)) (/.f64 1 (+.f64 (fma.f64 x (*.f64 x -1/2) 1) x))) |
(/.f64 1 (/.f64 (fma.f64 (-.f64 -1 x) (-.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2))) (*.f64 (pow.f64 x 4) 1/4)) (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (-.f64 -1 x) 3)))) |
(/.f64 1 (/.f64 (+.f64 (fma.f64 x (*.f64 x -1/2) 1) x) (-.f64 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 (-.f64 -1 x) 2)))) |
(/.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (-.f64 -1 x) 3)) (fma.f64 (-.f64 -1 x) (-.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2))) (*.f64 (pow.f64 x 4) 1/4))) |
(/.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (-.f64 -1 x) 3)) (+.f64 (pow.f64 (-.f64 -1 x) 2) (-.f64 (*.f64 (pow.f64 x 4) 1/4) (*.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 -1 x))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 (-.f64 -1 x) 2)) (+.f64 (fma.f64 x (*.f64 x -1/2) 1) x)) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (-.f64 -1 x) 3))) (neg.f64 (fma.f64 (-.f64 -1 x) (-.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2))) (*.f64 (pow.f64 x 4) 1/4)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 (-.f64 -1 x) 2))) (neg.f64 (+.f64 (fma.f64 x (*.f64 x -1/2) 1) x))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (fma.f64 x x (*.f64 (fma.f64 x (*.f64 x -1/2) -1) x)))) |
(/.f64 (-.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 (pow.f64 x 4) 1/4)) (-.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2)))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x x)) (+.f64 (fma.f64 x (*.f64 x -1/2) -1) x)) |
(pow.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) 1) |
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)) 3) |
(pow.f64 (pow.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) 2) 1/2) |
(pow.f64 (pow.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) 3) 1/3) |
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)) 2) |
(pow.f64 (/.f64 (fma.f64 (-.f64 -1 x) (-.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2))) (*.f64 (pow.f64 x 4) 1/4)) (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (-.f64 -1 x) 3))) -1) |
(pow.f64 (/.f64 (+.f64 (fma.f64 x (*.f64 x -1/2) 1) x) (-.f64 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 (-.f64 -1 x) 2))) -1) |
(sqrt.f64 (pow.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) 2)) |
(log.f64 (exp.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)))) |
(log.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 -1/2) x) x) (+.f64 1 (expm1.f64 (-.f64 -1 x))))) |
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/2)))) (exp.f64 (-.f64 -1 x)))) |
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/2)))) (+.f64 1 (expm1.f64 (-.f64 -1 x))))) |
(log.f64 (*.f64 (exp.f64 (-.f64 -1 x)) (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/2)))))) |
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 -1 x))) (pow.f64 (pow.f64 (exp.f64 -1/2) x) x))) |
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 -1 x))) (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/2)))))) |
(log.f64 (*.f64 (exp.f64 (fma.f64 x (*.f64 x -1/2) -1)) (exp.f64 (neg.f64 x)))) |
(log.f64 (/.f64 (exp.f64 (fma.f64 x (*.f64 x -1/2) -1)) (+.f64 1 (expm1.f64 x)))) |
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) 3)) |
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))) |
(exp.f64 (log.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))) |
(exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)) 1)) |
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)) 1) 1)) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))) 3)) |
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))) 1/3)) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))) 2)) |
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))) |
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)) |
(fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x)) |
(fma.f64 (*.f64 x -1/2) x (-.f64 -1 x)) |
(fma.f64 (*.f64 x (*.f64 x -1/2)) 1 (-.f64 -1 x)) |
(fma.f64 (-.f64 -1 x) 1 (*.f64 x (*.f64 x -1/2))) |
(fma.f64 1 (*.f64 x (*.f64 x -1/2)) (-.f64 -1 x)) |
(fma.f64 1 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2))) |
(fma.f64 1 (fma.f64 x (*.f64 x -1/2) -1) (neg.f64 x)) |
(fma.f64 (cbrt.f64 (-.f64 -1 x)) (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (*.f64 x (*.f64 x -1/2))) |
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (cbrt.f64 (-.f64 -1 x)) (*.f64 x (*.f64 x -1/2))) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x -1/2)) 2) (*.f64 (cbrt.f64 (*.f64 x -1/2)) x) (-.f64 -1 x)) |
(fma.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (-.f64 -1 x)) |
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (*.f64 x (*.f64 x -1/2))) (-.f64 -1 x)) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x -1/2)) (-.f64 -1 x)) |
(fma.f64 (*.f64 x x) -1/2 (-.f64 -1 x)) |
(fma.f64 (sqrt.f64 (-.f64 -1 x)) (sqrt.f64 (-.f64 -1 x)) (*.f64 x (*.f64 x -1/2))) |
(fma.f64 (sqrt.f64 (*.f64 x -1/2)) (*.f64 (sqrt.f64 (*.f64 x -1/2)) x) (-.f64 -1 x)) |
(fma.f64 (*.f64 x (sqrt.f64 -1/2)) (*.f64 x (sqrt.f64 -1/2)) (-.f64 -1 x)) |
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x -1/2)) (-.f64 -1 x)) |
(fma.f64 (-.f64 -1 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x -1) 1)) (*.f64 x (*.f64 x -1/2))) |
(fma.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 (+.f64 x -1)) (*.f64 x (*.f64 x -1/2))) |
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) 2) (cbrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) (neg.f64 x)) |
(fma.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) (sqrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) (neg.f64 x)) |
(fma.f64 (fma.f64 x (sqrt.f64 -1/2) 1) (fma.f64 x (sqrt.f64 -1/2) -1) (neg.f64 x)) |
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (*.f64 x -1/2)) 2)) (cbrt.f64 (*.f64 x -1/2)) (-.f64 -1 x)) |
(fma.f64 (*.f64 x (sqrt.f64 (*.f64 x -1/2))) (sqrt.f64 (*.f64 x -1/2)) (-.f64 -1 x)) |
(fma.f64 (*.f64 (*.f64 x -1/2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (-.f64 -1 x)) |
(fma.f64 (*.f64 (*.f64 x -1/2) (sqrt.f64 x)) (sqrt.f64 x) (-.f64 -1 x)) |
| 1× | egg-herbie |
| 1342× | fma-neg |
| 1086× | fma-def |
| 838× | div-sub |
| 556× | distribute-lft-in |
| 534× | distribute-rgt-in |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 210 | 3056 |
| 1 | 535 | 2634 |
| 2 | 1452 | 2298 |
| 3 | 5406 | 2298 |
| 1× | node limit |
| Inputs |
|---|
-1 |
(-.f64 (*.f64 -1 x) 1) |
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2))) 1) |
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2))) 1) |
(*.f64 -1/2 (pow.f64 x 2)) |
(+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2))) |
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2))) 1) |
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2))) 1) |
(*.f64 -1/2 (pow.f64 x 2)) |
(+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2))) |
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2))) 1) |
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2))) 1) |
(-.f64 -1 (-.f64 x (*.f64 x (*.f64 x -1/2)))) |
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
(-.f64 (exp.f64 (log1p.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))) 1) |
(-.f64 (/.f64 (*.f64 (pow.f64 x 4) 1/4) (+.f64 (fma.f64 x (*.f64 x -1/2) 1) x)) (/.f64 (pow.f64 (-.f64 -1 x) 2) (+.f64 (fma.f64 x (*.f64 x -1/2) 1) x))) |
(*.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) 1) |
(*.f64 1 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)) |
(*.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)) 2) (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))) |
(*.f64 (sqrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)) (sqrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))) |
(*.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (-.f64 -1 x) 3)) (/.f64 1 (fma.f64 (-.f64 -1 x) (-.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2))) (*.f64 (pow.f64 x 4) 1/4)))) |
(*.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 (-.f64 -1 x) 2)) (/.f64 1 (+.f64 (fma.f64 x (*.f64 x -1/2) 1) x))) |
(/.f64 1 (/.f64 (fma.f64 (-.f64 -1 x) (-.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2))) (*.f64 (pow.f64 x 4) 1/4)) (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (-.f64 -1 x) 3)))) |
(/.f64 1 (/.f64 (+.f64 (fma.f64 x (*.f64 x -1/2) 1) x) (-.f64 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 (-.f64 -1 x) 2)))) |
(/.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (-.f64 -1 x) 3)) (fma.f64 (-.f64 -1 x) (-.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2))) (*.f64 (pow.f64 x 4) 1/4))) |
(/.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (-.f64 -1 x) 3)) (+.f64 (pow.f64 (-.f64 -1 x) 2) (-.f64 (*.f64 (pow.f64 x 4) 1/4) (*.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 -1 x))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 (-.f64 -1 x) 2)) (+.f64 (fma.f64 x (*.f64 x -1/2) 1) x)) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (-.f64 -1 x) 3))) (neg.f64 (fma.f64 (-.f64 -1 x) (-.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2))) (*.f64 (pow.f64 x 4) 1/4)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 (-.f64 -1 x) 2))) (neg.f64 (+.f64 (fma.f64 x (*.f64 x -1/2) 1) x))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (fma.f64 x x (*.f64 (fma.f64 x (*.f64 x -1/2) -1) x)))) |
(/.f64 (-.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 (pow.f64 x 4) 1/4)) (-.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2)))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x x)) (+.f64 (fma.f64 x (*.f64 x -1/2) -1) x)) |
(pow.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) 1) |
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)) 3) |
(pow.f64 (pow.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) 2) 1/2) |
(pow.f64 (pow.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) 3) 1/3) |
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)) 2) |
(pow.f64 (/.f64 (fma.f64 (-.f64 -1 x) (-.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2))) (*.f64 (pow.f64 x 4) 1/4)) (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (-.f64 -1 x) 3))) -1) |
(pow.f64 (/.f64 (+.f64 (fma.f64 x (*.f64 x -1/2) 1) x) (-.f64 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 (-.f64 -1 x) 2))) -1) |
(sqrt.f64 (pow.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) 2)) |
(log.f64 (exp.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)))) |
(log.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 -1/2) x) x) (+.f64 1 (expm1.f64 (-.f64 -1 x))))) |
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/2)))) (exp.f64 (-.f64 -1 x)))) |
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/2)))) (+.f64 1 (expm1.f64 (-.f64 -1 x))))) |
(log.f64 (*.f64 (exp.f64 (-.f64 -1 x)) (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/2)))))) |
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 -1 x))) (pow.f64 (pow.f64 (exp.f64 -1/2) x) x))) |
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 -1 x))) (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/2)))))) |
(log.f64 (*.f64 (exp.f64 (fma.f64 x (*.f64 x -1/2) -1)) (exp.f64 (neg.f64 x)))) |
(log.f64 (/.f64 (exp.f64 (fma.f64 x (*.f64 x -1/2) -1)) (+.f64 1 (expm1.f64 x)))) |
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) 3)) |
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))) |
(exp.f64 (log.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))) |
(exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)) 1)) |
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)) 1) 1)) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))) 3)) |
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))) 1/3)) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))) 2)) |
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))) |
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)) |
(fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x)) |
(fma.f64 (*.f64 x -1/2) x (-.f64 -1 x)) |
(fma.f64 (*.f64 x (*.f64 x -1/2)) 1 (-.f64 -1 x)) |
(fma.f64 (-.f64 -1 x) 1 (*.f64 x (*.f64 x -1/2))) |
(fma.f64 1 (*.f64 x (*.f64 x -1/2)) (-.f64 -1 x)) |
(fma.f64 1 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2))) |
(fma.f64 1 (fma.f64 x (*.f64 x -1/2) -1) (neg.f64 x)) |
(fma.f64 (cbrt.f64 (-.f64 -1 x)) (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (*.f64 x (*.f64 x -1/2))) |
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (cbrt.f64 (-.f64 -1 x)) (*.f64 x (*.f64 x -1/2))) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x -1/2)) 2) (*.f64 (cbrt.f64 (*.f64 x -1/2)) x) (-.f64 -1 x)) |
(fma.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (-.f64 -1 x)) |
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (*.f64 x (*.f64 x -1/2))) (-.f64 -1 x)) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x -1/2)) (-.f64 -1 x)) |
(fma.f64 (*.f64 x x) -1/2 (-.f64 -1 x)) |
(fma.f64 (sqrt.f64 (-.f64 -1 x)) (sqrt.f64 (-.f64 -1 x)) (*.f64 x (*.f64 x -1/2))) |
(fma.f64 (sqrt.f64 (*.f64 x -1/2)) (*.f64 (sqrt.f64 (*.f64 x -1/2)) x) (-.f64 -1 x)) |
(fma.f64 (*.f64 x (sqrt.f64 -1/2)) (*.f64 x (sqrt.f64 -1/2)) (-.f64 -1 x)) |
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x -1/2)) (-.f64 -1 x)) |
(fma.f64 (-.f64 -1 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x -1) 1)) (*.f64 x (*.f64 x -1/2))) |
(fma.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 (+.f64 x -1)) (*.f64 x (*.f64 x -1/2))) |
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) 2) (cbrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) (neg.f64 x)) |
(fma.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) (sqrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) (neg.f64 x)) |
(fma.f64 (fma.f64 x (sqrt.f64 -1/2) 1) (fma.f64 x (sqrt.f64 -1/2) -1) (neg.f64 x)) |
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (*.f64 x -1/2)) 2)) (cbrt.f64 (*.f64 x -1/2)) (-.f64 -1 x)) |
(fma.f64 (*.f64 x (sqrt.f64 (*.f64 x -1/2))) (sqrt.f64 (*.f64 x -1/2)) (-.f64 -1 x)) |
(fma.f64 (*.f64 (*.f64 x -1/2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (-.f64 -1 x)) |
(fma.f64 (*.f64 (*.f64 x -1/2) (sqrt.f64 x)) (sqrt.f64 x) (-.f64 -1 x)) |
| Outputs |
|---|
-1 |
(-.f64 (*.f64 -1 x) 1) |
(fma.f64 -1 x -1) |
(-.f64 -1 x) |
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2))) 1) |
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1) |
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
(fma.f64 x (fma.f64 x -1/2 -1) -1) |
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2))) 1) |
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1) |
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
(fma.f64 x (fma.f64 x -1/2 -1) -1) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 x (*.f64 x -1/2)) |
(+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2))) |
(fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) |
(-.f64 (*.f64 x (*.f64 x -1/2)) x) |
(*.f64 x (fma.f64 x -1/2 -1)) |
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2))) 1) |
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1) |
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
(fma.f64 x (fma.f64 x -1/2 -1) -1) |
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2))) 1) |
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1) |
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
(fma.f64 x (fma.f64 x -1/2 -1) -1) |
(*.f64 -1/2 (pow.f64 x 2)) |
(*.f64 x (*.f64 x -1/2)) |
(+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2))) |
(fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) |
(-.f64 (*.f64 x (*.f64 x -1/2)) x) |
(*.f64 x (fma.f64 x -1/2 -1)) |
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2))) 1) |
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1) |
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
(fma.f64 x (fma.f64 x -1/2 -1) -1) |
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2))) 1) |
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1) |
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
(fma.f64 x (fma.f64 x -1/2 -1) -1) |
(-.f64 -1 (-.f64 x (*.f64 x (*.f64 x -1/2)))) |
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1) |
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
(fma.f64 x (fma.f64 x -1/2 -1) -1) |
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1) |
(fma.f64 x (fma.f64 x -1/2 -1) -1) |
(-.f64 (exp.f64 (log1p.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))) 1) |
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1) |
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
(fma.f64 x (fma.f64 x -1/2 -1) -1) |
(-.f64 (/.f64 (*.f64 (pow.f64 x 4) 1/4) (+.f64 (fma.f64 x (*.f64 x -1/2) 1) x)) (/.f64 (pow.f64 (-.f64 -1 x) 2) (+.f64 (fma.f64 x (*.f64 x -1/2) 1) x))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 (-.f64 -1 x) 2)) (+.f64 x (fma.f64 x (*.f64 x -1/2) 1))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 (-.f64 -1 x) 2)) (fma.f64 (fma.f64 x -1/2 1) x 1)) |
(/.f64 (fma.f64 (pow.f64 x 4) -1/4 (pow.f64 (-.f64 -1 x) 2)) (-.f64 -1 (*.f64 x (fma.f64 x -1/2 1)))) |
(*.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) 1) |
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1) |
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
(fma.f64 x (fma.f64 x -1/2 -1) -1) |
(*.f64 1 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)) |
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1) |
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
(fma.f64 x (fma.f64 x -1/2 -1) -1) |
(*.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)) 2)) |
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1) |
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
(fma.f64 x (fma.f64 x -1/2 -1) -1) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)) 2) (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))) |
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1) |
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
(fma.f64 x (fma.f64 x -1/2 -1) -1) |
(*.f64 (sqrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)) (sqrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))) |
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1) |
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
(fma.f64 x (fma.f64 x -1/2 -1) -1) |
(*.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (-.f64 -1 x) 3)) (/.f64 1 (fma.f64 (-.f64 -1 x) (-.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2))) (*.f64 (pow.f64 x 4) 1/4)))) |
(/.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (-.f64 -1 x) 3)) (fma.f64 (-.f64 -1 x) (-.f64 -1 (+.f64 x (*.f64 x (*.f64 x -1/2)))) (*.f64 (pow.f64 x 4) 1/4))) |
(/.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (-.f64 -1 x) 3)) (fma.f64 (-.f64 -1 x) (-.f64 -1 (fma.f64 x (*.f64 x -1/2) x)) (*.f64 (pow.f64 x 4) 1/4))) |
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(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
(fma.f64 x (fma.f64 x -1/2 -1) -1) |
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))) 1/3)) |
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1) |
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
(fma.f64 x (fma.f64 x -1/2 -1) -1) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))) 2)) |
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1) |
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
(fma.f64 x (fma.f64 x -1/2 -1) -1) |
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))) |
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1) |
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
(fma.f64 x (fma.f64 x -1/2 -1) -1) |
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)) |
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1) |
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
(fma.f64 x (fma.f64 x -1/2 -1) -1) |
(fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x)) |
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1) |
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
(fma.f64 x (fma.f64 x -1/2 -1) -1) |
(fma.f64 (*.f64 x -1/2) x (-.f64 -1 x)) |
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1) |
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
(fma.f64 x (fma.f64 x -1/2 -1) -1) |
(fma.f64 (*.f64 x (*.f64 x -1/2)) 1 (-.f64 -1 x)) |
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1) |
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
(fma.f64 x (fma.f64 x -1/2 -1) -1) |
(fma.f64 (-.f64 -1 x) 1 (*.f64 x (*.f64 x -1/2))) |
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1) |
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
(fma.f64 x (fma.f64 x -1/2 -1) -1) |
(fma.f64 1 (*.f64 x (*.f64 x -1/2)) (-.f64 -1 x)) |
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1) |
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
(fma.f64 x (fma.f64 x -1/2 -1) -1) |
(fma.f64 1 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2))) |
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1) |
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
(fma.f64 x (fma.f64 x -1/2 -1) -1) |
(fma.f64 1 (fma.f64 x (*.f64 x -1/2) -1) (neg.f64 x)) |
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1) |
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
(fma.f64 x (fma.f64 x -1/2 -1) -1) |
(fma.f64 (cbrt.f64 (-.f64 -1 x)) (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (*.f64 x (*.f64 x -1/2))) |
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1) |
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
(fma.f64 x (fma.f64 x -1/2 -1) -1) |
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (cbrt.f64 (-.f64 -1 x)) (*.f64 x (*.f64 x -1/2))) |
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1) |
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
(fma.f64 x (fma.f64 x -1/2 -1) -1) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x -1/2)) 2) (*.f64 (cbrt.f64 (*.f64 x -1/2)) x) (-.f64 -1 x)) |
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1) |
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
(fma.f64 x (fma.f64 x -1/2 -1) -1) |
(fma.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (-.f64 -1 x)) |
(-.f64 (fma.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) -1) x) |
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (*.f64 x (*.f64 x -1/2))) (-.f64 -1 x)) |
(fma.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (-.f64 -1 x)) |
(-.f64 (fma.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) -1) x) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x -1/2)) (-.f64 -1 x)) |
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1) |
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
(fma.f64 x (fma.f64 x -1/2 -1) -1) |
(fma.f64 (*.f64 x x) -1/2 (-.f64 -1 x)) |
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1) |
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
(fma.f64 x (fma.f64 x -1/2 -1) -1) |
(fma.f64 (sqrt.f64 (-.f64 -1 x)) (sqrt.f64 (-.f64 -1 x)) (*.f64 x (*.f64 x -1/2))) |
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1) |
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
(fma.f64 x (fma.f64 x -1/2 -1) -1) |
(fma.f64 (sqrt.f64 (*.f64 x -1/2)) (*.f64 (sqrt.f64 (*.f64 x -1/2)) x) (-.f64 -1 x)) |
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1) |
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
(fma.f64 x (fma.f64 x -1/2 -1) -1) |
(fma.f64 (*.f64 x (sqrt.f64 -1/2)) (*.f64 x (sqrt.f64 -1/2)) (-.f64 -1 x)) |
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1) |
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
(fma.f64 x (fma.f64 x -1/2 -1) -1) |
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x -1/2)) (-.f64 -1 x)) |
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1) |
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
(fma.f64 x (fma.f64 x -1/2 -1) -1) |
(fma.f64 (-.f64 -1 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x -1) 1)) (*.f64 x (*.f64 x -1/2))) |
(fma.f64 (-.f64 -1 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 -1 x) 1)) (*.f64 x (*.f64 x -1/2))) |
(fma.f64 x (*.f64 x -1/2) (/.f64 (-.f64 -1 (pow.f64 x 3)) (fma.f64 x (+.f64 -1 x) 1))) |
(fma.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 (+.f64 x -1)) (*.f64 x (*.f64 x -1/2))) |
(fma.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 (+.f64 -1 x)) (*.f64 x (*.f64 x -1/2))) |
(fma.f64 x (*.f64 x -1/2) (/.f64 (-.f64 1 (*.f64 x x)) (+.f64 -1 x))) |
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) 2) (cbrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) (neg.f64 x)) |
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1) |
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
(fma.f64 x (fma.f64 x -1/2 -1) -1) |
(fma.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) (sqrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) (neg.f64 x)) |
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1) |
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
(fma.f64 x (fma.f64 x -1/2 -1) -1) |
(fma.f64 (fma.f64 x (sqrt.f64 -1/2) 1) (fma.f64 x (sqrt.f64 -1/2) -1) (neg.f64 x)) |
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1) |
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
(fma.f64 x (fma.f64 x -1/2 -1) -1) |
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (*.f64 x -1/2)) 2)) (cbrt.f64 (*.f64 x -1/2)) (-.f64 -1 x)) |
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1) |
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
(fma.f64 x (fma.f64 x -1/2 -1) -1) |
(fma.f64 (*.f64 x (sqrt.f64 (*.f64 x -1/2))) (sqrt.f64 (*.f64 x -1/2)) (-.f64 -1 x)) |
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1) |
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
(fma.f64 x (fma.f64 x -1/2 -1) -1) |
(fma.f64 (*.f64 (*.f64 x -1/2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (-.f64 -1 x)) |
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1) |
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
(fma.f64 x (fma.f64 x -1/2 -1) -1) |
(fma.f64 (*.f64 (*.f64 x -1/2) (sqrt.f64 x)) (sqrt.f64 x) (-.f64 -1 x)) |
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1) |
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
(fma.f64 x (fma.f64 x -1/2 -1) -1) |
Compiled 1677 to 1213 computations (27.7% saved)
5 alts after pruning (2 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 106 | 1 | 107 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 3 | 3 |
| Total | 107 | 5 | 112 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) |
| ✓ | 99.7% | (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
| ▶ | 99.7% | (-.f64 -1 (-.f64 x (*.f64 x (*.f64 x -1/2)))) |
| ✓ | 99.4% | (-.f64 -1 x) |
| 98.5% | -1 | |
| ✓ | 100.0% | (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) |
| ✓ | 99.7% | (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
| ▶ | 99.7% | (-.f64 -1 (-.f64 x (*.f64 x (*.f64 x -1/2)))) |
| ✓ | 99.4% | (-.f64 -1 x) |
| 98.5% | -1 |
Compiled 64 to 46 computations (28.1% saved)
Compiled 29 to 19 computations (34.5% saved)
Compiled 1 to 1 computations (0% saved)
5 alts after pruning (1 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 3 | 3 |
| Total | 0 | 5 | 5 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) |
| ✓ | 99.7% | (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
| ✓ | 99.7% | (-.f64 -1 (-.f64 x (*.f64 x (*.f64 x -1/2)))) |
| ✓ | 99.4% | (-.f64 -1 x) |
| 98.5% | -1 |
Compiled 78 to 55 computations (29.5% saved)
| Inputs |
|---|
-1 |
(-.f64 -1 x) |
(+.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 -1 x)) |
(-.f64 -1 (-.f64 x (*.f64 x (*.f64 x -1/2)))) |
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) |
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x))) |
| Outputs |
|---|
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) |
2 calls:
| 5.0ms | x |
| 2.0ms | (/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | (/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x))) |
Compiled 58 to 41 computations (29.3% saved)
| Inputs |
|---|
-1 |
(-.f64 -1 x) |
(+.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 -1 x)) |
(-.f64 -1 (-.f64 x (*.f64 x (*.f64 x -1/2)))) |
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
| Outputs |
|---|
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
1 calls:
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 1 | x |
Compiled 33 to 22 computations (33.3% saved)
| Inputs |
|---|
-1 |
(-.f64 -1 x) |
(+.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 -1 x)) |
(-.f64 -1 (-.f64 x (*.f64 x (*.f64 x -1/2)))) |
| Outputs |
|---|
(+.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 -1 x)) |
1 calls:
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 1 | x |
Compiled 25 to 17 computations (32% saved)
| Inputs |
|---|
-1 |
(-.f64 -1 x) |
| Outputs |
|---|
(-.f64 -1 x) |
1 calls:
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 1 | x |
Compiled 7 to 5 computations (28.6% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
-1 |
| Outputs |
|---|
-1 |
1 calls:
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.5% | 1 | x |
Compiled 4 to 3 computations (25% saved)
| 1× | egg-herbie |
| 8× | +-commutative |
| 6× | sub-neg |
| 6× | *-commutative |
| 2× | neg-mul-1 |
| 2× | neg-sub0 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 73 |
| 1 | 25 | 73 |
| 2 | 29 | 73 |
| 3 | 30 | 73 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) |
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
(+.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 -1 x)) |
(-.f64 -1 x) |
-1 |
| Outputs |
|---|
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) |
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) |
(+.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 -1 x)) |
(-.f64 -1 x) |
-1 |
Compiled 32 to 23 computations (28.1% saved)
| 4580× | fma-def |
| 3900× | associate-+r+ |
| 3404× | associate-+l+ |
| 1916× | pow1 |
| 1772× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 67 |
| 1 | 28 | 57 |
| 2 | 43 | 57 |
| 3 | 74 | 57 |
| 4 | 113 | 57 |
| 5 | 157 | 57 |
| 6 | 185 | 57 |
| 7 | 210 | 57 |
| 8 | 241 | 57 |
| 9 | 338 | 57 |
| 10 | 404 | 57 |
| 11 | 478 | 57 |
| 12 | 523 | 57 |
| 13 | 531 | 57 |
| 14 | 533 | 57 |
| 15 | 755 | 57 |
| 16 | 1016 | 57 |
| 17 | 1149 | 57 |
| 18 | 1313 | 57 |
| 19 | 1319 | 57 |
| 20 | 1319 | 57 |
| 21 | 2143 | 57 |
| 22 | 2398 | 57 |
| 23 | 2646 | 57 |
| 24 | 2779 | 57 |
| 25 | 2794 | 57 |
| 26 | 2794 | 57 |
| 27 | 4548 | 57 |
| 28 | 4548 | 57 |
| 29 | 4548 | 57 |
| 30 | 4548 | 57 |
| 31 | 4548 | 57 |
| 32 | 7751 | 57 |
| 33 | 7800 | 57 |
| 34 | 7982 | 57 |
| 0 | 189 | 2510 |
| 1 | 604 | 2216 |
| 2 | 1818 | 2008 |
| 0 | 189 | 2510 |
| 1 | 604 | 2216 |
| 2 | 1818 | 2008 |
| 0 | 9 | 21 |
| 1 | 190 | 21 |
| 2 | 2345 | 21 |
| 1× | node limit |
| 1× | node limit |
| 1× | node limit |
| 1× | node limit |
Compiled 187 to 137 computations (26.7% saved)
Compiled 110 to 80 computations (27.3% saved)
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