sqrtexp (problem 3.4.4)
Time bar (total: 3.0s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 2 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 3 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 4 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 5 |
| 53.1% | 53.1% | 46.9% | 0% | 0% | 0% | 0% | 6 |
| 54.7% | 54.7% | 45.3% | 0% | 0% | 0% | 0% | 7 |
| 55.5% | 55.4% | 44.5% | 0% | 0% | 0% | 0% | 8 |
| 55.9% | 55.8% | 44.1% | 0% | 0% | 0% | 0% | 9 |
| 56.1% | 56% | 43.9% | 0% | 0% | 0% | 0% | 10 |
| 56.2% | 56.1% | 43.8% | 0% | 0% | 0% | 0% | 11 |
| 56.2% | 56.2% | 43.8% | 0% | 0% | 0% | 0% | 12 |
Compiled 14 to 12 computations (14.3% saved)
| 1.1s | 2827× | body | 1024 | valid |
| 392.0ms | 3714× | body | 256 | valid |
| 296.0ms | 1374× | body | 512 | valid |
| 258.0ms | 300× | body | 2048 | valid |
| 207.0ms | 2699× | body | 256 | unsamplable |
| 5.0ms | 41× | body | 256 | infinite |
| 2× | egg-herbie |
| 1382× | associate-*r* |
| 1260× | associate-/l* |
| 1064× | associate-/r* |
| 1038× | associate-*l* |
| 904× | fma-def |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 25 |
| 1 | 27 | 25 |
| 2 | 36 | 25 |
| 3 | 62 | 25 |
| 4 | 130 | 21 |
| 5 | 352 | 15 |
| 6 | 1351 | 15 |
| 0 | 1 | 1 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
| Outputs |
|---|
0 |
| Inputs |
|---|
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))) |
| Outputs |
|---|
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))) |
(sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))) |
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) |
(sqrt.f64 (/.f64 (+.f64 1 (exp.f64 x)) 1)) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
Compiled 14 to 12 computations (14.3% saved)
| 1× | egg-herbie |
| 1382× | associate-*r* |
| 1260× | associate-/l* |
| 1064× | associate-/r* |
| 1038× | associate-*l* |
| 904× | fma-def |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 25 |
| 1 | 27 | 25 |
| 2 | 36 | 25 |
| 3 | 62 | 25 |
| 4 | 130 | 21 |
| 5 | 352 | 15 |
| 6 | 1351 | 15 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))) |
| Outputs |
|---|
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))) |
(sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))) |
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) |
(sqrt.f64 (/.f64 (+.f64 1 (exp.f64 x)) 1)) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
Compiled 41 to 29 computations (29.3% saved)
1 alts after pruning (1 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 4 | 1 | 5 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 5 | 1 | 6 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (sqrt.f64 (+.f64 1 (exp.f64 x))) |
| ▶ | 100.0% | (sqrt.f64 (+.f64 1 (exp.f64 x))) |
Compiled 12 to 10 computations (16.7% saved)
Found 2 expressions with local accuracy:
| New | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (sqrt.f64 (+.f64 1 (exp.f64 x))) |
| ✓ | 100.0% | (+.f64 1 (exp.f64 x)) |
Compiled 15 to 9 computations (40% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (sqrt.f64 (+.f64 1 (exp.f64 x))) |
| 0.0ms | x | @ | inf | (sqrt.f64 (+.f64 1 (exp.f64 x))) |
| 0.0ms | x | @ | 0 | (+.f64 1 (exp.f64 x)) |
| 0.0ms | x | @ | -inf | (sqrt.f64 (+.f64 1 (exp.f64 x))) |
| 0.0ms | x | @ | -inf | (+.f64 1 (exp.f64 x)) |
| 1× | batch-egg-rewrite |
| 1452× | pow1 |
| 1340× | add-exp-log |
| 1340× | log1p-expm1-u |
| 1340× | expm1-log1p-u |
| 1312× | add-log-exp |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 26 |
| 1 | 157 | 26 |
| 2 | 1869 | 26 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 1 (exp.f64 x)) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
| Outputs |
|---|
(-.f64 (+.f64 1 (+.f64 1 (exp.f64 x))) 1) |
(-.f64 (/.f64 1 (-.f64 1 (exp.f64 x))) (/.f64 (exp.f64 (+.f64 x x)) (-.f64 1 (exp.f64 x)))) |
(*.f64 1 (+.f64 1 (exp.f64 x))) |
(*.f64 (+.f64 1 (exp.f64 x)) 1) |
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (sqrt.f64 (+.f64 1 (exp.f64 x)))) |
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)) |
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (sqrt.f64 (+.f64 1 (exp.f64 x))))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) (cbrt.f64 (+.f64 1 (exp.f64 x)))) |
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (sqrt.f64 (+.f64 1 (exp.f64 x))))) |
(*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x))))) |
(*.f64 (-.f64 1 (exp.f64 (+.f64 x x))) (/.f64 1 (-.f64 1 (exp.f64 x)))) |
(*.f64 (*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) |
(*.f64 (*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) |
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x))) (+.f64 1 (pow.f64 (exp.f64 x) 3)))) |
(/.f64 1 (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (exp.f64 (+.f64 x x))))) |
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))) |
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 1 (exp.f64 x)))) |
(/.f64 (-.f64 1 (exp.f64 (+.f64 x x))) (-.f64 1 (exp.f64 x))) |
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (neg.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x))))) |
(/.f64 (neg.f64 (-.f64 1 (exp.f64 (+.f64 x x)))) (neg.f64 (-.f64 1 (exp.f64 x)))) |
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) 1) (expm1.f64 x)) |
(pow.f64 (+.f64 1 (exp.f64 x)) 1) |
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2) |
(pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 3) |
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2) 1/2) |
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2)) |
(log.f64 (exp.f64 (+.f64 1 (exp.f64 x)))) |
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3)) |
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 x)))) |
(exp.f64 (log1p.f64 (exp.f64 x))) |
(log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 x)))) |
(fma.f64 1 (exp.f64 x) 1) |
(fma.f64 (cbrt.f64 (exp.f64 (+.f64 x x))) (cbrt.f64 (exp.f64 x)) 1) |
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) 1) |
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 1) |
(*.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) |
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1) |
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (+.f64 1 (exp.f64 x)))) |
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) |
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))))) |
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1 (exp.f64 x)))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 1/2)) |
(/.f64 (sqrt.f64 (-.f64 1 (exp.f64 (+.f64 x x)))) (sqrt.f64 (-.f64 1 (exp.f64 x)))) |
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (sqrt.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x))))) |
(pow.f64 (+.f64 1 (exp.f64 x)) 1/2) |
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1) |
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 3) |
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2) 1/3) |
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) 2) |
(fabs.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) |
(log.f64 (exp.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) |
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2)) |
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) |
(hypot.f64 1 (sqrt.f64 (exp.f64 x))) |
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)) |
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) |
| 1× | egg-herbie |
| 1132× | distribute-lft-in |
| 1108× | distribute-rgt-in |
| 1058× | times-frac |
| 954× | fma-def |
| 478× | associate-+r+ |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 156 | 1842 |
| 1 | 358 | 1598 |
| 2 | 1195 | 1260 |
| 3 | 3601 | 1232 |
| 1× | node limit |
| Inputs |
|---|
2 |
(+.f64 2 x) |
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x)) |
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))) |
(sqrt.f64 2) |
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))) |
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))) |
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/6 (*.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 x 3)) (sqrt.f64 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))) |
(-.f64 (+.f64 1 (+.f64 1 (exp.f64 x))) 1) |
(-.f64 (/.f64 1 (-.f64 1 (exp.f64 x))) (/.f64 (exp.f64 (+.f64 x x)) (-.f64 1 (exp.f64 x)))) |
(*.f64 1 (+.f64 1 (exp.f64 x))) |
(*.f64 (+.f64 1 (exp.f64 x)) 1) |
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (sqrt.f64 (+.f64 1 (exp.f64 x)))) |
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)) |
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (sqrt.f64 (+.f64 1 (exp.f64 x))))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) (cbrt.f64 (+.f64 1 (exp.f64 x)))) |
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (sqrt.f64 (+.f64 1 (exp.f64 x))))) |
(*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x))))) |
(*.f64 (-.f64 1 (exp.f64 (+.f64 x x))) (/.f64 1 (-.f64 1 (exp.f64 x)))) |
(*.f64 (*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) |
(*.f64 (*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) |
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x))) (+.f64 1 (pow.f64 (exp.f64 x) 3)))) |
(/.f64 1 (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (exp.f64 (+.f64 x x))))) |
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))) |
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 1 (exp.f64 x)))) |
(/.f64 (-.f64 1 (exp.f64 (+.f64 x x))) (-.f64 1 (exp.f64 x))) |
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (neg.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x))))) |
(/.f64 (neg.f64 (-.f64 1 (exp.f64 (+.f64 x x)))) (neg.f64 (-.f64 1 (exp.f64 x)))) |
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) 1) (expm1.f64 x)) |
(pow.f64 (+.f64 1 (exp.f64 x)) 1) |
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2) |
(pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 3) |
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2) 1/2) |
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2)) |
(log.f64 (exp.f64 (+.f64 1 (exp.f64 x)))) |
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3)) |
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 x)))) |
(exp.f64 (log1p.f64 (exp.f64 x))) |
(log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 x)))) |
(fma.f64 1 (exp.f64 x) 1) |
(fma.f64 (cbrt.f64 (exp.f64 (+.f64 x x))) (cbrt.f64 (exp.f64 x)) 1) |
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) 1) |
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 1) |
(*.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) |
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1) |
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (+.f64 1 (exp.f64 x)))) |
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) |
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))))) |
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1 (exp.f64 x)))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 1/2)) |
(/.f64 (sqrt.f64 (-.f64 1 (exp.f64 (+.f64 x x)))) (sqrt.f64 (-.f64 1 (exp.f64 x)))) |
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (sqrt.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x))))) |
(pow.f64 (+.f64 1 (exp.f64 x)) 1/2) |
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1) |
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 3) |
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2) 1/3) |
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) 2) |
(fabs.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) |
(log.f64 (exp.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) |
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2)) |
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) |
(hypot.f64 1 (sqrt.f64 (exp.f64 x))) |
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)) |
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) |
| Outputs |
|---|
2 |
(+.f64 2 x) |
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x)) |
(+.f64 2 (fma.f64 1/2 (*.f64 x x) x)) |
(+.f64 2 (fma.f64 x (*.f64 x 1/2) x)) |
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))) |
(fma.f64 1/6 (pow.f64 x 3) (+.f64 2 (fma.f64 1/2 (*.f64 x x) x))) |
(+.f64 (fma.f64 1/2 (*.f64 x x) x) (fma.f64 1/6 (pow.f64 x 3) 2)) |
(+.f64 2 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 x (*.f64 x 1/2) x))) |
(sqrt.f64 2) |
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))) |
(fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2)) |
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))) |
(+.f64 (sqrt.f64 2) (*.f64 1/2 (+.f64 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (/.f64 (sqrt.f64 2) (*.f64 x x))) (/.f64 x (sqrt.f64 2))))) |
(fma.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (/.f64 (sqrt.f64 2) (*.f64 x x)))) (sqrt.f64 2)) |
(fma.f64 1/2 (fma.f64 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (sqrt.f64 2)) (*.f64 x x) (/.f64 x (sqrt.f64 2))) (sqrt.f64 2)) |
(+.f64 (sqrt.f64 2) (*.f64 (/.f64 1/2 (sqrt.f64 2)) (+.f64 x (*.f64 x (*.f64 x (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))))))) |
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/6 (*.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 x 3)) (sqrt.f64 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))) |
(+.f64 (sqrt.f64 2) (fma.f64 1/2 (/.f64 (+.f64 1/6 (*.f64 -1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 (sqrt.f64 2) (pow.f64 x 3))) (*.f64 1/2 (+.f64 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (/.f64 (sqrt.f64 2) (*.f64 x x))) (/.f64 x (sqrt.f64 2)))))) |
(+.f64 (sqrt.f64 2) (fma.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (/.f64 (sqrt.f64 2) (*.f64 x x)))) (/.f64 (*.f64 7/192 (pow.f64 x 3)) (sqrt.f64 2)))) |
(fma.f64 1/2 (fma.f64 (/.f64 7/96 (sqrt.f64 2)) (pow.f64 x 3) (fma.f64 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (sqrt.f64 2)) (*.f64 x x) (/.f64 x (sqrt.f64 2)))) (sqrt.f64 2)) |
(fma.f64 1/2 (fma.f64 (/.f64 7/96 (sqrt.f64 2)) (pow.f64 x 3) (fma.f64 (-.f64 (/.f64 1/2 (sqrt.f64 2)) (/.f64 (/.f64 1/4 (sqrt.f64 2)) 2)) (*.f64 x x) (/.f64 x (sqrt.f64 2)))) (sqrt.f64 2)) |
(-.f64 (+.f64 1 (+.f64 1 (exp.f64 x))) 1) |
(+.f64 (+.f64 2 (exp.f64 x)) -1) |
(+.f64 2 (-.f64 (exp.f64 x) 1)) |
(+.f64 2 (expm1.f64 x)) |
(-.f64 (/.f64 1 (-.f64 1 (exp.f64 x))) (/.f64 (exp.f64 (+.f64 x x)) (-.f64 1 (exp.f64 x)))) |
(/.f64 (-.f64 1 (exp.f64 (+.f64 x x))) (-.f64 1 (exp.f64 x))) |
(/.f64 (-.f64 1 (pow.f64 (exp.f64 2) x)) (-.f64 1 (exp.f64 x))) |
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) |
(/.f64 (+.f64 2 (expm1.f64 x)) 1) |
(*.f64 1 (+.f64 1 (exp.f64 x))) |
(+.f64 (+.f64 2 (exp.f64 x)) -1) |
(+.f64 2 (-.f64 (exp.f64 x) 1)) |
(+.f64 2 (expm1.f64 x)) |
(*.f64 (+.f64 1 (exp.f64 x)) 1) |
(+.f64 (+.f64 2 (exp.f64 x)) -1) |
(+.f64 2 (-.f64 (exp.f64 x) 1)) |
(+.f64 2 (expm1.f64 x)) |
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (sqrt.f64 (+.f64 1 (exp.f64 x)))) |
(+.f64 (+.f64 2 (exp.f64 x)) -1) |
(+.f64 2 (-.f64 (exp.f64 x) 1)) |
(+.f64 2 (expm1.f64 x)) |
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)) |
(+.f64 (+.f64 2 (exp.f64 x)) -1) |
(+.f64 2 (-.f64 (exp.f64 x) 1)) |
(+.f64 2 (expm1.f64 x)) |
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (sqrt.f64 (+.f64 1 (exp.f64 x))))) |
(+.f64 (+.f64 2 (exp.f64 x)) -1) |
(+.f64 2 (-.f64 (exp.f64 x) 1)) |
(+.f64 2 (expm1.f64 x)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) (cbrt.f64 (+.f64 1 (exp.f64 x)))) |
(+.f64 (+.f64 2 (exp.f64 x)) -1) |
(+.f64 2 (-.f64 (exp.f64 x) 1)) |
(+.f64 2 (expm1.f64 x)) |
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (sqrt.f64 (+.f64 1 (exp.f64 x))))) |
(+.f64 (+.f64 2 (exp.f64 x)) -1) |
(+.f64 2 (-.f64 (exp.f64 x) 1)) |
(+.f64 2 (expm1.f64 x)) |
(*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x))))) |
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (fma.f64 (exp.f64 x) (expm1.f64 x) 1)) |
(*.f64 (-.f64 1 (exp.f64 (+.f64 x x))) (/.f64 1 (-.f64 1 (exp.f64 x)))) |
(/.f64 (-.f64 1 (exp.f64 (+.f64 x x))) (-.f64 1 (exp.f64 x))) |
(/.f64 (-.f64 1 (pow.f64 (exp.f64 2) x)) (-.f64 1 (exp.f64 x))) |
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) |
(/.f64 (+.f64 2 (expm1.f64 x)) 1) |
(*.f64 (*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) |
(+.f64 (+.f64 2 (exp.f64 x)) -1) |
(+.f64 2 (-.f64 (exp.f64 x) 1)) |
(+.f64 2 (expm1.f64 x)) |
(*.f64 (*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) |
(+.f64 (+.f64 2 (exp.f64 x)) -1) |
(+.f64 2 (-.f64 (exp.f64 x) 1)) |
(+.f64 2 (expm1.f64 x)) |
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x))) (+.f64 1 (pow.f64 (exp.f64 x) 3)))) |
(*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x))))) |
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (fma.f64 (exp.f64 x) (expm1.f64 x) 1)) |
(/.f64 1 (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (exp.f64 (+.f64 x x))))) |
(/.f64 (-.f64 1 (exp.f64 (+.f64 x x))) (-.f64 1 (exp.f64 x))) |
(/.f64 (-.f64 1 (pow.f64 (exp.f64 2) x)) (-.f64 1 (exp.f64 x))) |
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) |
(/.f64 (+.f64 2 (expm1.f64 x)) 1) |
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))) |
(*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x))))) |
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (fma.f64 (exp.f64 x) (expm1.f64 x) 1)) |
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 1 (exp.f64 x)))) |
(*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x))))) |
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (fma.f64 (exp.f64 x) (expm1.f64 x) 1)) |
(/.f64 (-.f64 1 (exp.f64 (+.f64 x x))) (-.f64 1 (exp.f64 x))) |
(/.f64 (-.f64 1 (pow.f64 (exp.f64 2) x)) (-.f64 1 (exp.f64 x))) |
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) |
(/.f64 (+.f64 2 (expm1.f64 x)) 1) |
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (neg.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x))))) |
(*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x))))) |
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (fma.f64 (exp.f64 x) (expm1.f64 x) 1)) |
(/.f64 (neg.f64 (-.f64 1 (exp.f64 (+.f64 x x)))) (neg.f64 (-.f64 1 (exp.f64 x)))) |
(/.f64 (-.f64 1 (exp.f64 (+.f64 x x))) (-.f64 1 (exp.f64 x))) |
(/.f64 (-.f64 1 (pow.f64 (exp.f64 2) x)) (-.f64 1 (exp.f64 x))) |
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) |
(/.f64 (+.f64 2 (expm1.f64 x)) 1) |
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) 1) (expm1.f64 x)) |
(/.f64 (-.f64 1 (exp.f64 (+.f64 x x))) (-.f64 1 (exp.f64 x))) |
(/.f64 (-.f64 1 (pow.f64 (exp.f64 2) x)) (-.f64 1 (exp.f64 x))) |
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) |
(/.f64 (+.f64 2 (expm1.f64 x)) 1) |
(pow.f64 (+.f64 1 (exp.f64 x)) 1) |
(+.f64 (+.f64 2 (exp.f64 x)) -1) |
(+.f64 2 (-.f64 (exp.f64 x) 1)) |
(+.f64 2 (expm1.f64 x)) |
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2) |
(+.f64 (+.f64 2 (exp.f64 x)) -1) |
(+.f64 2 (-.f64 (exp.f64 x) 1)) |
(+.f64 2 (expm1.f64 x)) |
(pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 3) |
(+.f64 (+.f64 2 (exp.f64 x)) -1) |
(+.f64 2 (-.f64 (exp.f64 x) 1)) |
(+.f64 2 (expm1.f64 x)) |
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2) 1/2) |
(+.f64 (+.f64 2 (exp.f64 x)) -1) |
(+.f64 2 (-.f64 (exp.f64 x) 1)) |
(+.f64 2 (expm1.f64 x)) |
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3) 1/3) |
(+.f64 (+.f64 2 (exp.f64 x)) -1) |
(+.f64 2 (-.f64 (exp.f64 x) 1)) |
(+.f64 2 (expm1.f64 x)) |
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2)) |
(+.f64 (+.f64 2 (exp.f64 x)) -1) |
(+.f64 2 (-.f64 (exp.f64 x) 1)) |
(+.f64 2 (expm1.f64 x)) |
(log.f64 (exp.f64 (+.f64 1 (exp.f64 x)))) |
(+.f64 (+.f64 2 (exp.f64 x)) -1) |
(+.f64 2 (-.f64 (exp.f64 x) 1)) |
(+.f64 2 (expm1.f64 x)) |
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3)) |
(+.f64 (+.f64 2 (exp.f64 x)) -1) |
(+.f64 2 (-.f64 (exp.f64 x) 1)) |
(+.f64 2 (expm1.f64 x)) |
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 x)))) |
(+.f64 (+.f64 2 (exp.f64 x)) -1) |
(+.f64 2 (-.f64 (exp.f64 x) 1)) |
(+.f64 2 (expm1.f64 x)) |
(exp.f64 (log1p.f64 (exp.f64 x))) |
(log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 x)))) |
(+.f64 (+.f64 2 (exp.f64 x)) -1) |
(+.f64 2 (-.f64 (exp.f64 x) 1)) |
(+.f64 2 (expm1.f64 x)) |
(fma.f64 1 (exp.f64 x) 1) |
(+.f64 (+.f64 2 (exp.f64 x)) -1) |
(+.f64 2 (-.f64 (exp.f64 x) 1)) |
(+.f64 2 (expm1.f64 x)) |
(fma.f64 (cbrt.f64 (exp.f64 (+.f64 x x))) (cbrt.f64 (exp.f64 x)) 1) |
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 2) x)) (cbrt.f64 (exp.f64 x)) 1) |
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 2)) (cbrt.f64 (exp.f64 x)) 1) |
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) 1) |
(+.f64 (+.f64 2 (exp.f64 x)) -1) |
(+.f64 2 (-.f64 (exp.f64 x) 1)) |
(+.f64 2 (expm1.f64 x)) |
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 1) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)) |
(+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 0) |
(sqrt.f64 (+.f64 2 (expm1.f64 x))) |
(*.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 x)))) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)) |
(+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 0) |
(sqrt.f64 (+.f64 2 (expm1.f64 x))) |
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)) |
(+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 0) |
(sqrt.f64 (+.f64 2 (expm1.f64 x))) |
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (+.f64 1 (exp.f64 x)))) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)) |
(+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 0) |
(sqrt.f64 (+.f64 2 (expm1.f64 x))) |
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)) |
(+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 0) |
(sqrt.f64 (+.f64 2 (expm1.f64 x))) |
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4)) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)) |
(+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 0) |
(sqrt.f64 (+.f64 2 (expm1.f64 x))) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))))) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)) |
(+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 0) |
(sqrt.f64 (+.f64 2 (expm1.f64 x))) |
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1 (exp.f64 x)))) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)) |
(+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 0) |
(sqrt.f64 (+.f64 2 (expm1.f64 x))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 1/2)) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)) |
(+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 0) |
(sqrt.f64 (+.f64 2 (expm1.f64 x))) |
(/.f64 (sqrt.f64 (-.f64 1 (exp.f64 (+.f64 x x)))) (sqrt.f64 (-.f64 1 (exp.f64 x)))) |
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 2) x))) (sqrt.f64 (-.f64 1 (exp.f64 x)))) |
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (sqrt.f64 (neg.f64 (expm1.f64 x)))) |
(/.f64 (sqrt.f64 (neg.f64 (expm1.f64 (+.f64 x x)))) (sqrt.f64 (neg.f64 (expm1.f64 x)))) |
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (sqrt.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x))))) |
(/.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) 3/2)) (sqrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1))) |
(pow.f64 (+.f64 1 (exp.f64 x)) 1/2) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)) |
(+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 0) |
(sqrt.f64 (+.f64 2 (expm1.f64 x))) |
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)) |
(+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 0) |
(sqrt.f64 (+.f64 2 (expm1.f64 x))) |
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) 3) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)) |
(+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 0) |
(sqrt.f64 (+.f64 2 (expm1.f64 x))) |
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2) 1/3) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)) |
(+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 0) |
(sqrt.f64 (+.f64 2 (expm1.f64 x))) |
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) 2) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)) |
(+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 0) |
(sqrt.f64 (+.f64 2 (expm1.f64 x))) |
(fabs.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)) |
(+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 0) |
(sqrt.f64 (+.f64 2 (expm1.f64 x))) |
(log.f64 (exp.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)) |
(+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 0) |
(sqrt.f64 (+.f64 2 (expm1.f64 x))) |
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2)) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)) |
(+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 0) |
(sqrt.f64 (+.f64 2 (expm1.f64 x))) |
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)) |
(+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 0) |
(sqrt.f64 (+.f64 2 (expm1.f64 x))) |
(hypot.f64 1 (sqrt.f64 (exp.f64 x))) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)) |
(+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 0) |
(sqrt.f64 (+.f64 2 (expm1.f64 x))) |
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2)) |
(pow.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/2) |
(sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))) |
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 1)) |
(+.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 0) |
(sqrt.f64 (+.f64 2 (expm1.f64 x))) |
Compiled 1223 to 875 computations (28.5% saved)
4 alts after pruning (3 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 95 | 3 | 98 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 95 | 4 | 99 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (sqrt.f64 (+.f64 2 (expm1.f64 x))) |
| ▶ | 63.6% | (sqrt.f64 (+.f64 2 x)) |
| ✓ | 100.0% | (sqrt.f64 (+.f64 1 (exp.f64 x))) |
| ▶ | 69.9% | (sqrt.f64 2) |
| ▶ | 100.0% | (sqrt.f64 (+.f64 2 (expm1.f64 x))) |
| ▶ | 63.6% | (sqrt.f64 (+.f64 2 x)) |
| ✓ | 100.0% | (sqrt.f64 (+.f64 1 (exp.f64 x))) |
| ▶ | 69.9% | (sqrt.f64 2) |
Compiled 40 to 34 computations (15% saved)
Found 2 expressions with local accuracy:
| New | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (sqrt.f64 (+.f64 2 (expm1.f64 x))) |
| ✓ | 100.0% | (sqrt.f64 (+.f64 2 x)) |
Compiled 27 to 18 computations (33.3% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (sqrt.f64 (+.f64 2 x)) |
| 0.0ms | x | @ | 0 | (sqrt.f64 (+.f64 2 x)) |
| 0.0ms | x | @ | -inf | (sqrt.f64 (+.f64 2 x)) |
| 0.0ms | x | @ | inf | (sqrt.f64 (+.f64 2 (expm1.f64 x))) |
| 0.0ms | x | @ | -inf | (sqrt.f64 (+.f64 2 (expm1.f64 x))) |
| 1× | batch-egg-rewrite |
| 902× | log-prod |
| 682× | exp-prod |
| 676× | prod-exp |
| 562× | pow-prod-down |
| 508× | pow-exp |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 26 |
| 1 | 214 | 26 |
| 2 | 2723 | 26 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (+.f64 2 x)) |
(sqrt.f64 (+.f64 2 (expm1.f64 x))) |
| Outputs |
|---|
(+.f64 0 (sqrt.f64 (+.f64 2 x))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 2 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 2 x)))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 2 x))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 2 x)))))) |
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x)))) 1) |
(*.f64 (sqrt.f64 (+.f64 2 x)) 1) |
(*.f64 1 (sqrt.f64 (+.f64 2 x))) |
(*.f64 (cbrt.f64 (+.f64 2 x)) (pow.f64 (+.f64 2 x) 1/6)) |
(*.f64 (pow.f64 (+.f64 2 x) 1/6) (cbrt.f64 (+.f64 2 x))) |
(*.f64 (pow.f64 (+.f64 2 x) 1/4) (pow.f64 (+.f64 2 x) 1/4)) |
(/.f64 (sqrt.f64 (-.f64 4 (*.f64 x x))) (sqrt.f64 (-.f64 2 x))) |
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 8)) (sqrt.f64 (fma.f64 x (-.f64 x 2) 4))) |
(pow.f64 (+.f64 2 x) 1/2) |
(pow.f64 (sqrt.f64 (+.f64 2 x)) 1) |
(pow.f64 (cbrt.f64 (+.f64 2 x)) 3/2) |
(pow.f64 (pow.f64 (+.f64 2 x) 1/6) 3) |
(pow.f64 (pow.f64 (+.f64 2 x) 2) 1/4) |
(pow.f64 (pow.f64 (+.f64 2 x) 3) 1/6) |
(pow.f64 (pow.f64 (+.f64 2 x) 3/2) 1/3) |
(pow.f64 (pow.f64 (+.f64 2 x) 1/4) 2) |
(pow.f64 (exp.f64 1/2) (log.f64 (+.f64 2 x))) |
(pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (+.f64 2 x)))) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 2 x)))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 2 x))))) |
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 2 x))))) (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 2 x))))) |
(fabs.f64 (sqrt.f64 (+.f64 2 x))) |
(log.f64 (exp.f64 (sqrt.f64 (+.f64 2 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 2 x))))) |
(cbrt.f64 (pow.f64 (+.f64 2 x) 3/2)) |
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x)))) |
(exp.f64 (log.f64 (sqrt.f64 (+.f64 2 x)))) |
(exp.f64 (*.f64 (log.f64 (+.f64 2 x)) 1/2)) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 2 x))) 1)) |
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 2 x)) 1) 1/2)) |
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 2 x)) 1/2) 1)) |
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 2 x))) 1) 1)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 2 x) 1/6)) 3)) |
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (+.f64 2 x))) 1/3)) |
(exp.f64 (*.f64 (*.f64 1/4 (log.f64 (+.f64 2 x))) 2)) |
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 2 x)))) |
(+.f64 0 (sqrt.f64 (+.f64 (exp.f64 x) 1))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)))))) |
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)))) 1) |
(*.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)) 1) |
(*.f64 1 (sqrt.f64 (+.f64 (exp.f64 x) 1))) |
(*.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) (pow.f64 (+.f64 (exp.f64 x) 1) 1/6)) |
(*.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/6) (cbrt.f64 (+.f64 (exp.f64 x) 1))) |
(*.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4) (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) |
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (expm1.f64 x) 3) 8)) (sqrt.f64 (fma.f64 (expm1.f64 x) (-.f64 (expm1.f64 x) 2) 4))) |
(/.f64 (sqrt.f64 (-.f64 4 (pow.f64 (expm1.f64 x) 2))) (sqrt.f64 (-.f64 2 (expm1.f64 x)))) |
(pow.f64 (+.f64 (exp.f64 x) 1) 1/2) |
(pow.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)) 1) |
(pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 3/2) |
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/6) 3) |
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 2) 1/4) |
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 3) 1/6) |
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 3/2) 1/3) |
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4) 2) |
(pow.f64 (exp.f64 1/2) (log.f64 (+.f64 (exp.f64 x) 1))) |
(pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)))) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))) |
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))) (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))) |
(fabs.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))) |
(log.f64 (exp.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)))) |
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))) |
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 3/2)) |
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)))) |
(exp.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)))) |
(exp.f64 (*.f64 (log.f64 (+.f64 (exp.f64 x) 1)) 1/2)) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))) 1)) |
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (exp.f64 x) 1)) 1) 1/2)) |
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (exp.f64 x) 1)) 1/2) 1)) |
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))) 1) 1)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/6)) 3)) |
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (+.f64 (exp.f64 x) 1))) 1/3)) |
(exp.f64 (*.f64 (*.f64 1/4 (log.f64 (+.f64 (exp.f64 x) 1))) 2)) |
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)))) |
| 1× | egg-herbie |
| 1502× | times-frac |
| 824× | log-prod |
| 716× | exp-prod |
| 544× | associate-*r* |
| 488× | fma-def |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 231 | 1942 |
| 1 | 520 | 1786 |
| 2 | 1262 | 1766 |
| 3 | 4363 | 1766 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 2) |
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))) |
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))) |
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))) |
(sqrt.f64 2) |
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))) |
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))) |
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/6 (*.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 x 3)) (sqrt.f64 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(+.f64 0 (sqrt.f64 (+.f64 2 x))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 2 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 2 x)))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 2 x))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 2 x)))))) |
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x)))) 1) |
(*.f64 (sqrt.f64 (+.f64 2 x)) 1) |
(*.f64 1 (sqrt.f64 (+.f64 2 x))) |
(*.f64 (cbrt.f64 (+.f64 2 x)) (pow.f64 (+.f64 2 x) 1/6)) |
(*.f64 (pow.f64 (+.f64 2 x) 1/6) (cbrt.f64 (+.f64 2 x))) |
(*.f64 (pow.f64 (+.f64 2 x) 1/4) (pow.f64 (+.f64 2 x) 1/4)) |
(/.f64 (sqrt.f64 (-.f64 4 (*.f64 x x))) (sqrt.f64 (-.f64 2 x))) |
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 8)) (sqrt.f64 (fma.f64 x (-.f64 x 2) 4))) |
(pow.f64 (+.f64 2 x) 1/2) |
(pow.f64 (sqrt.f64 (+.f64 2 x)) 1) |
(pow.f64 (cbrt.f64 (+.f64 2 x)) 3/2) |
(pow.f64 (pow.f64 (+.f64 2 x) 1/6) 3) |
(pow.f64 (pow.f64 (+.f64 2 x) 2) 1/4) |
(pow.f64 (pow.f64 (+.f64 2 x) 3) 1/6) |
(pow.f64 (pow.f64 (+.f64 2 x) 3/2) 1/3) |
(pow.f64 (pow.f64 (+.f64 2 x) 1/4) 2) |
(pow.f64 (exp.f64 1/2) (log.f64 (+.f64 2 x))) |
(pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (+.f64 2 x)))) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 2 x)))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 2 x))))) |
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 2 x))))) (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 2 x))))) |
(fabs.f64 (sqrt.f64 (+.f64 2 x))) |
(log.f64 (exp.f64 (sqrt.f64 (+.f64 2 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 2 x))))) |
(cbrt.f64 (pow.f64 (+.f64 2 x) 3/2)) |
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x)))) |
(exp.f64 (log.f64 (sqrt.f64 (+.f64 2 x)))) |
(exp.f64 (*.f64 (log.f64 (+.f64 2 x)) 1/2)) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 2 x))) 1)) |
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 2 x)) 1) 1/2)) |
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 2 x)) 1/2) 1)) |
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 2 x))) 1) 1)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 2 x) 1/6)) 3)) |
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (+.f64 2 x))) 1/3)) |
(exp.f64 (*.f64 (*.f64 1/4 (log.f64 (+.f64 2 x))) 2)) |
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 2 x)))) |
(+.f64 0 (sqrt.f64 (+.f64 (exp.f64 x) 1))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)))))) |
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)))) 1) |
(*.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)) 1) |
(*.f64 1 (sqrt.f64 (+.f64 (exp.f64 x) 1))) |
(*.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) (pow.f64 (+.f64 (exp.f64 x) 1) 1/6)) |
(*.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/6) (cbrt.f64 (+.f64 (exp.f64 x) 1))) |
(*.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4) (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) |
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (expm1.f64 x) 3) 8)) (sqrt.f64 (fma.f64 (expm1.f64 x) (-.f64 (expm1.f64 x) 2) 4))) |
(/.f64 (sqrt.f64 (-.f64 4 (pow.f64 (expm1.f64 x) 2))) (sqrt.f64 (-.f64 2 (expm1.f64 x)))) |
(pow.f64 (+.f64 (exp.f64 x) 1) 1/2) |
(pow.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)) 1) |
(pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 3/2) |
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/6) 3) |
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 2) 1/4) |
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 3) 1/6) |
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 3/2) 1/3) |
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4) 2) |
(pow.f64 (exp.f64 1/2) (log.f64 (+.f64 (exp.f64 x) 1))) |
(pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)))) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))) |
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))) (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))) |
(fabs.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))) |
(log.f64 (exp.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)))) |
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))) |
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 3/2)) |
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)))) |
(exp.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)))) |
(exp.f64 (*.f64 (log.f64 (+.f64 (exp.f64 x) 1)) 1/2)) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))) 1)) |
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (exp.f64 x) 1)) 1) 1/2)) |
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (exp.f64 x) 1)) 1/2) 1)) |
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))) 1) 1)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/6)) 3)) |
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (+.f64 (exp.f64 x) 1))) 1/3)) |
(exp.f64 (*.f64 (*.f64 1/4 (log.f64 (+.f64 (exp.f64 x) 1))) 2)) |
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)))) |
| Outputs |
|---|
(sqrt.f64 2) |
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))) |
(fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2)) |
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))) |
(+.f64 (sqrt.f64 2) (fma.f64 -1/8 (/.f64 (*.f64 x x) (pow.f64 (sqrt.f64 2) 3)) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))) |
(+.f64 (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2)) (*.f64 -1/16 (/.f64 (*.f64 x x) (sqrt.f64 2)))) |
(fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (fma.f64 -1/16 (/.f64 x (/.f64 (sqrt.f64 2) x)) (sqrt.f64 2))) |
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))) |
(+.f64 (sqrt.f64 2) (fma.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5)) (fma.f64 -1/8 (/.f64 (*.f64 x x) (pow.f64 (sqrt.f64 2) 3)) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))) |
(+.f64 (sqrt.f64 2) (fma.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5)) (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (*.f64 -1/16 (/.f64 (*.f64 x x) (sqrt.f64 2)))))) |
(fma.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5)) (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (fma.f64 -1/16 (/.f64 x (/.f64 (sqrt.f64 2) x)) (sqrt.f64 2)))) |
(sqrt.f64 2) |
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))) |
(fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2)) |
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))) |
(+.f64 (sqrt.f64 2) (*.f64 1/2 (+.f64 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (/.f64 (sqrt.f64 2) (*.f64 x x))) (/.f64 x (sqrt.f64 2))))) |
(fma.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (/.f64 (*.f64 x x) (/.f64 (sqrt.f64 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))))) (sqrt.f64 2)) |
(fma.f64 1/2 (fma.f64 (-.f64 (/.f64 1/2 (sqrt.f64 2)) (/.f64 (/.f64 1/4 (sqrt.f64 2)) 2)) (*.f64 x x) (/.f64 x (sqrt.f64 2))) (sqrt.f64 2)) |
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/6 (*.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 x 3)) (sqrt.f64 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))) |
(+.f64 (sqrt.f64 2) (fma.f64 1/2 (/.f64 (+.f64 1/6 (*.f64 -1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 (sqrt.f64 2) (pow.f64 x 3))) (*.f64 1/2 (+.f64 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (/.f64 (sqrt.f64 2) (*.f64 x x))) (/.f64 x (sqrt.f64 2)))))) |
(+.f64 (fma.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (/.f64 (*.f64 x x) (/.f64 (sqrt.f64 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))))) (sqrt.f64 2)) (/.f64 (*.f64 7/192 (pow.f64 x 3)) (sqrt.f64 2))) |
(fma.f64 1/2 (fma.f64 (/.f64 7/96 (sqrt.f64 2)) (pow.f64 x 3) (fma.f64 (-.f64 (/.f64 1/2 (sqrt.f64 2)) (/.f64 (/.f64 1/4 (sqrt.f64 2)) 2)) (*.f64 x x) (/.f64 x (sqrt.f64 2)))) (sqrt.f64 2)) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(+.f64 0 (sqrt.f64 (+.f64 2 x))) |
(sqrt.f64 (+.f64 2 x)) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 2 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 2 x)))))) |
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 2 x)))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 2 x))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 2 x)))))) |
(sqrt.f64 (+.f64 2 x)) |
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x)))) 1) |
(sqrt.f64 (+.f64 2 x)) |
(*.f64 (sqrt.f64 (+.f64 2 x)) 1) |
(sqrt.f64 (+.f64 2 x)) |
(*.f64 1 (sqrt.f64 (+.f64 2 x))) |
(sqrt.f64 (+.f64 2 x)) |
(*.f64 (cbrt.f64 (+.f64 2 x)) (pow.f64 (+.f64 2 x) 1/6)) |
(sqrt.f64 (+.f64 2 x)) |
(*.f64 (pow.f64 (+.f64 2 x) 1/6) (cbrt.f64 (+.f64 2 x))) |
(sqrt.f64 (+.f64 2 x)) |
(*.f64 (pow.f64 (+.f64 2 x) 1/4) (pow.f64 (+.f64 2 x) 1/4)) |
(sqrt.f64 (+.f64 2 x)) |
(/.f64 (sqrt.f64 (-.f64 4 (*.f64 x x))) (sqrt.f64 (-.f64 2 x))) |
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 8)) (sqrt.f64 (fma.f64 x (-.f64 x 2) 4))) |
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 8)) (sqrt.f64 (fma.f64 x (+.f64 x -2) 4))) |
(pow.f64 (+.f64 2 x) 1/2) |
(sqrt.f64 (+.f64 2 x)) |
(pow.f64 (sqrt.f64 (+.f64 2 x)) 1) |
(sqrt.f64 (+.f64 2 x)) |
(pow.f64 (cbrt.f64 (+.f64 2 x)) 3/2) |
(sqrt.f64 (+.f64 2 x)) |
(pow.f64 (pow.f64 (+.f64 2 x) 1/6) 3) |
(sqrt.f64 (+.f64 2 x)) |
(pow.f64 (pow.f64 (+.f64 2 x) 2) 1/4) |
(sqrt.f64 (+.f64 2 x)) |
(pow.f64 (pow.f64 (+.f64 2 x) 3) 1/6) |
(pow.f64 (pow.f64 (+.f64 2 x) 3/2) 1/3) |
(sqrt.f64 (+.f64 2 x)) |
(pow.f64 (pow.f64 (+.f64 2 x) 1/4) 2) |
(sqrt.f64 (+.f64 2 x)) |
(pow.f64 (exp.f64 1/2) (log.f64 (+.f64 2 x))) |
(sqrt.f64 (+.f64 2 x)) |
(pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (+.f64 2 x)))) |
(sqrt.f64 (+.f64 2 x)) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 2 x)))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 2 x))))) |
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 2 x))))) (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 2 x))))) |
(fabs.f64 (sqrt.f64 (+.f64 2 x))) |
(sqrt.f64 (+.f64 2 x)) |
(log.f64 (exp.f64 (sqrt.f64 (+.f64 2 x)))) |
(sqrt.f64 (+.f64 2 x)) |
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 2 x))))) |
(sqrt.f64 (+.f64 2 x)) |
(cbrt.f64 (pow.f64 (+.f64 2 x) 3/2)) |
(sqrt.f64 (+.f64 2 x)) |
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x)))) |
(sqrt.f64 (+.f64 2 x)) |
(exp.f64 (log.f64 (sqrt.f64 (+.f64 2 x)))) |
(sqrt.f64 (+.f64 2 x)) |
(exp.f64 (*.f64 (log.f64 (+.f64 2 x)) 1/2)) |
(sqrt.f64 (+.f64 2 x)) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 2 x))) 1)) |
(sqrt.f64 (+.f64 2 x)) |
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 2 x)) 1) 1/2)) |
(sqrt.f64 (+.f64 2 x)) |
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 2 x)) 1/2) 1)) |
(sqrt.f64 (+.f64 2 x)) |
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 2 x))) 1) 1)) |
(sqrt.f64 (+.f64 2 x)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 2 x) 1/6)) 3)) |
(sqrt.f64 (+.f64 2 x)) |
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (+.f64 2 x))) 1/3)) |
(sqrt.f64 (+.f64 2 x)) |
(exp.f64 (*.f64 (*.f64 1/4 (log.f64 (+.f64 2 x))) 2)) |
(sqrt.f64 (+.f64 2 x)) |
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 2 x)))) |
(sqrt.f64 (+.f64 2 x)) |
(+.f64 0 (sqrt.f64 (+.f64 (exp.f64 x) 1))) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)))))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))) |
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)))))) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)))) 1) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(*.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)) 1) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(*.f64 1 (sqrt.f64 (+.f64 (exp.f64 x) 1))) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(*.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) (pow.f64 (+.f64 (exp.f64 x) 1) 1/6)) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(*.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/6) (cbrt.f64 (+.f64 (exp.f64 x) 1))) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(*.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4) (pow.f64 (+.f64 (exp.f64 x) 1) 1/4)) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (expm1.f64 x) 3) 8)) (sqrt.f64 (fma.f64 (expm1.f64 x) (-.f64 (expm1.f64 x) 2) 4))) |
(/.f64 (sqrt.f64 (+.f64 8 (pow.f64 (expm1.f64 x) 3))) (sqrt.f64 (fma.f64 (expm1.f64 x) (+.f64 (expm1.f64 x) -2) 4))) |
(/.f64 (sqrt.f64 (-.f64 4 (pow.f64 (expm1.f64 x) 2))) (sqrt.f64 (-.f64 2 (expm1.f64 x)))) |
(pow.f64 (+.f64 (exp.f64 x) 1) 1/2) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(pow.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)) 1) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 3/2) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/6) 3) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 2) 1/4) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 3) 1/6) |
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3) 1/6) |
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 3/2) 1/3) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/4) 2) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(pow.f64 (exp.f64 1/2) (log.f64 (+.f64 (exp.f64 x) 1))) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)))) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x)))) 2)) (cbrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))) |
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))) (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))) |
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))) (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))) |
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))) (sqrt.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))) |
(fabs.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(log.f64 (exp.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)))) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 3/2)) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)))) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(exp.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)))) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(exp.f64 (*.f64 (log.f64 (+.f64 (exp.f64 x) 1)) 1/2)) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))) 1)) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (exp.f64 x) 1)) 1) 1/2)) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (exp.f64 x) 1)) 1/2) 1)) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))) 1) 1)) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 x) 1) 1/6)) 3)) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (+.f64 (exp.f64 x) 1))) 1/3)) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(exp.f64 (*.f64 (*.f64 1/4 (log.f64 (+.f64 (exp.f64 x) 1))) 2)) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1)))) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
Compiled 1319 to 1072 computations (18.7% saved)
4 alts after pruning (0 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 107 | 0 | 107 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 3 | 3 |
| Done | 0 | 1 | 1 |
| Total | 107 | 4 | 111 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (sqrt.f64 (+.f64 2 (expm1.f64 x))) |
| ✓ | 63.6% | (sqrt.f64 (+.f64 2 x)) |
| ✓ | 100.0% | (sqrt.f64 (+.f64 1 (exp.f64 x))) |
| ✓ | 69.9% | (sqrt.f64 2) |
Compiled 49 to 40 computations (18.4% saved)
| Inputs |
|---|
(sqrt.f64 2) |
(sqrt.f64 (+.f64 2 x)) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(sqrt.f64 (+.f64 2 (expm1.f64 x))) |
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))) |
| Outputs |
|---|
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
3 calls:
| 8.0ms | (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)) |
| 4.0ms | x |
| 2.0ms | (sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | (sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))) |
| 100.0% | 1 | (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)) |
Compiled 56 to 45 computations (19.6% saved)
Total -4.6b remaining (-23.9%)
Threshold costs -4.6b (-23.9%)
| Inputs |
|---|
(sqrt.f64 2) |
(sqrt.f64 (+.f64 2 x)) |
| Outputs |
|---|
(sqrt.f64 2) |
1 calls:
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.9% | 1 | x |
Compiled 9 to 7 computations (22.2% saved)
| 1× | egg-herbie |
| 2× | 1-exp |
| 2× | +-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 20 |
| 1 | 13 | 20 |
| 1× | done |
| 1× | saturated |
| Inputs |
|---|
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(sqrt.f64 2) |
| Outputs |
|---|
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(sqrt.f64 2) |
Compiled 9 to 8 computations (11.1% saved)
| 1382× | associate-*r* |
| 1260× | associate-/l* |
| 1064× | associate-/r* |
| 1038× | associate-*l* |
| 904× | fma-def |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 25 |
| 1 | 27 | 25 |
| 2 | 36 | 25 |
| 3 | 62 | 25 |
| 4 | 130 | 21 |
| 5 | 352 | 15 |
| 6 | 1351 | 15 |
| 1× | node limit |
Compiled 85 to 56 computations (34.1% saved)
Compiled 42 to 36 computations (14.3% saved)
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