Time bar (total: 3.3s)
| 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 |
| 25% | 25% | 75% | 0% | 0% | 0% | 0% | 3 |
| 28.6% | 25% | 62.5% | 0% | 0% | 0% | 12.5% | 4 |
| 30.8% | 25% | 56.2% | 0% | 0% | 0% | 18.7% | 5 |
| 36% | 28.1% | 50% | 0% | 0% | 0% | 21.9% | 6 |
| 38.8% | 29.7% | 46.9% | 0% | 0% | 0% | 23.4% | 7 |
| 40.2% | 30.5% | 45.3% | 0% | 0% | 0% | 24.2% | 8 |
| 40.7% | 30.8% | 44.9% | 0% | 0% | 0% | 24.2% | 9 |
| 41.2% | 31.2% | 44.5% | 0% | 0% | 0% | 24.2% | 10 |
| 41.4% | 31.3% | 44.4% | 0% | 0% | 0% | 24.2% | 11 |
| 41.5% | 31.4% | 44.3% | 0% | 0% | 0% | 24.3% | 12 |
Compiled 14 to 12 computations (14.3% saved)
| 1.1s | 2750× | body | 1024 | valid |
| 576.0ms | 3855× | body | 256 | valid |
| 305.0ms | 1345× | body | 512 | valid |
| 137.0ms | 306× | body | 2048 | valid |
| 5.0ms | 47× | body | 256 | infinite |
| 1.0ms | 4× | body | 256 | unsamplable |
| 2× | egg-herbie |
| 1440× | associate-/l* |
| 1382× | associate-*r* |
| 1160× | associate-/r* |
| 968× | associate-*l* |
| 702× | fma-def |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 25 |
| 1 | 27 | 25 |
| 2 | 36 | 25 |
| 3 | 62 | 25 |
| 4 | 135 | 21 |
| 5 | 349 | 15 |
| 6 | 1238 | 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 |
| 1440× | associate-/l* |
| 1382× | associate-*r* |
| 1160× | associate-/r* |
| 968× | associate-*l* |
| 702× | fma-def |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 25 |
| 1 | 27 | 25 |
| 2 | 36 | 25 |
| 3 | 62 | 25 |
| 4 | 135 | 21 |
| 5 | 349 | 15 |
| 6 | 1238 | 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)
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 3 | 2 | 5 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 4 | 2 | 6 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) |
| ▶ | 100.0% | (sqrt.f64 (+.f64 1 (exp.f64 x))) |
Compiled 15 to 11 computations (26.7% saved)
Found 1 expressions with local accuracy:
| New | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (+.f64 1 (exp.f64 x)) |
Compiled 14 to 8 computations (42.9% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (+.f64 1 (exp.f64 x)) |
| 0.0ms | x | @ | -inf | (+.f64 1 (exp.f64 x)) |
| 0.0ms | x | @ | inf | (+.f64 1 (exp.f64 x)) |
| 1× | batch-egg-rewrite |
| 1318× | add-sqr-sqrt |
| 1302× | *-un-lft-identity |
| 1212× | add-cube-cbrt |
| 1200× | add-cbrt-cube |
| 1188× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 11 |
| 1 | 137 | 11 |
| 2 | 1629 | 11 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 1 (exp.f64 x)) |
| Outputs |
|---|
(((-.f64 (+.f64 1 (+.f64 1 (exp.f64 x))) 1) (2)) ((-.f64 (/.f64 1 (-.f64 1 (exp.f64 x))) (/.f64 (exp.f64 (+.f64 x x)) (-.f64 1 (exp.f64 x)))) (2)) ((*.f64 1 (+.f64 1 (exp.f64 x))) (2)) ((*.f64 (+.f64 1 (exp.f64 x)) 1) (2)) ((*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (sqrt.f64 (+.f64 1 (exp.f64 x)))) (2)) ((*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)) (2)) ((*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) (cbrt.f64 (+.f64 1 (exp.f64 x)))) (2)) ((*.f64 (-.f64 1 (exp.f64 (+.f64 x x))) (/.f64 1 (-.f64 1 (exp.f64 x)))) (2)) ((*.f64 (+.f64 1 (exp.f64 (*.f64 x 3))) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x))))) (2)) ((/.f64 1 (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (exp.f64 (+.f64 x x))))) (2)) ((/.f64 1 (/.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x))) (+.f64 1 (exp.f64 (*.f64 x 3))))) (2)) ((/.f64 (-.f64 1 (exp.f64 (+.f64 x x))) (-.f64 1 (exp.f64 x))) (2)) ((/.f64 (+.f64 1 (exp.f64 (*.f64 x 3))) (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))) (2)) ((/.f64 (+.f64 1 (exp.f64 (*.f64 x 3))) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 1 (exp.f64 x)))) (2)) ((/.f64 (-.f64 (exp.f64 (+.f64 x x)) 1) (expm1.f64 x)) (2)) ((/.f64 (neg.f64 (-.f64 1 (exp.f64 (+.f64 x x)))) (neg.f64 (-.f64 1 (exp.f64 x)))) (2)) ((/.f64 (neg.f64 (+.f64 1 (exp.f64 (*.f64 x 3)))) (neg.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x))))) (2)) ((pow.f64 (+.f64 1 (exp.f64 x)) 1) (2)) ((pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2) (2)) ((pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 3) (2)) ((pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3) 1/3) (2)) ((sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2)) (2)) ((log.f64 (exp.f64 (+.f64 1 (exp.f64 x)))) (2)) ((cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3)) (2)) ((expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 x)))) (2)) ((exp.f64 (log1p.f64 (exp.f64 x))) (2)) ((log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 x)))) (2)) ((fma.f64 1 (exp.f64 x) 1) (2)) ((fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) 1) (2)) ((fma.f64 (cbrt.f64 (exp.f64 (+.f64 x x))) (cbrt.f64 (exp.f64 x)) 1) (2))) |
| 1× | egg-herbie |
| 1100× | distribute-lft-in |
| 976× | distribute-rgt-in |
| 936× | associate-/l* |
| 798× | associate-*r* |
| 784× | times-frac |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 85 | 840 |
| 1 | 200 | 790 |
| 2 | 709 | 616 |
| 3 | 2924 | 592 |
| 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))) |
(-.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 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) (cbrt.f64 (+.f64 1 (exp.f64 x)))) |
(*.f64 (-.f64 1 (exp.f64 (+.f64 x x))) (/.f64 1 (-.f64 1 (exp.f64 x)))) |
(*.f64 (+.f64 1 (exp.f64 (*.f64 x 3))) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x))))) |
(/.f64 1 (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (exp.f64 (+.f64 x x))))) |
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x))) (+.f64 1 (exp.f64 (*.f64 x 3))))) |
(/.f64 (-.f64 1 (exp.f64 (+.f64 x x))) (-.f64 1 (exp.f64 x))) |
(/.f64 (+.f64 1 (exp.f64 (*.f64 x 3))) (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))) |
(/.f64 (+.f64 1 (exp.f64 (*.f64 x 3))) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 1 (exp.f64 x)))) |
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) 1) (expm1.f64 x)) |
(/.f64 (neg.f64 (-.f64 1 (exp.f64 (+.f64 x x)))) (neg.f64 (-.f64 1 (exp.f64 x)))) |
(/.f64 (neg.f64 (+.f64 1 (exp.f64 (*.f64 x 3)))) (neg.f64 (+.f64 1 (*.f64 (exp.f64 x) (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)) 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 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) 1) |
(fma.f64 (cbrt.f64 (exp.f64 (+.f64 x x))) (cbrt.f64 (exp.f64 x)) 1) |
| 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))) |
(+.f64 (fma.f64 x (*.f64 x 1/2) x) (fma.f64 1/6 (pow.f64 x 3) 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 (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 (-.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 1 (exp.f64 (*.f64 x 3))) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x))))) |
(/.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) 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 3) x)) (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 1 (/.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x))) (+.f64 1 (exp.f64 (*.f64 x 3))))) |
(/.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) 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 3) x)) (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 (+.f64 1 (exp.f64 (*.f64 x 3))) (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))) |
(/.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) 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 3) x)) (fma.f64 (exp.f64 x) (expm1.f64 x) 1)) |
(/.f64 (+.f64 1 (exp.f64 (*.f64 x 3))) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 1 (exp.f64 x)))) |
(/.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) 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 3) x)) (fma.f64 (exp.f64 x) (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) |
(/.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 (neg.f64 (+.f64 1 (exp.f64 (*.f64 x 3)))) (neg.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x))))) |
(/.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) 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 3) x)) (fma.f64 (exp.f64 x) (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)) 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 (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)) |
(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) |
Found 1 expressions with local accuracy:
| New | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) |
Compiled 26 to 6 computations (76.9% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) |
| 1.0ms | x | @ | inf | (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) |
| 0.0ms | x | @ | 0 | (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) |
| 1× | batch-egg-rewrite |
| 1704× | add-sqr-sqrt |
| 1688× | *-un-lft-identity |
| 1578× | add-cube-cbrt |
| 1560× | add-cbrt-cube |
| 170× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 21 |
| 1 | 166 | 21 |
| 2 | 2273 | 21 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) |
| Outputs |
|---|
(((-.f64 (exp.f64 (log1p.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) 1) (2)) ((-.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 1 (expm1.f64 x))) (2)) ((*.f64 (expm1.f64 (+.f64 x x)) (/.f64 1 (expm1.f64 x))) (2)) ((*.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1) (2)) ((*.f64 1 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (2)) ((*.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (2)) ((*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (/.f64 1 (expm1.f64 x)))) (2)) ((*.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2)) (2)) ((*.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2) (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (2)) ((*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) 2) (*.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) (/.f64 1 (expm1.f64 x)))) (2)) ((*.f64 (/.f64 1 (expm1.f64 x)) (expm1.f64 (+.f64 x x))) (2)) ((*.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (/.f64 1 (neg.f64 (expm1.f64 x)))) (2)) ((*.f64 (/.f64 1 (sqrt.f64 (expm1.f64 x))) (/.f64 (expm1.f64 (+.f64 x x)) (sqrt.f64 (expm1.f64 x)))) (2)) ((*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (expm1.f64 (+.f64 x x)) (cbrt.f64 (expm1.f64 x)))) (2)) ((*.f64 (/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) 1) (/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (expm1.f64 x))) (2)) ((*.f64 (/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (cbrt.f64 (expm1.f64 x)))) (2)) ((*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) (expm1.f64 x))) (2)) ((*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) 2) (sqrt.f64 (expm1.f64 x))) (/.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (expm1.f64 x)))) (2)) ((*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) 2) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (2)) ((pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1) (2)) ((pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2) (2)) ((pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 3) (2)) ((pow.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 3) 1/3) (2)) ((pow.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))) -1) (2)) ((neg.f64 (/.f64 (expm1.f64 (+.f64 x x)) (neg.f64 (expm1.f64 x)))) (2)) ((sqrt.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 2)) (2)) ((log.f64 (exp.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (2)) ((log.f64 (+.f64 1 (expm1.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) (2)) ((cbrt.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 3)) (2)) ((expm1.f64 (log1p.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (2)) ((exp.f64 (log.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (2)) ((exp.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 1)) (2)) ((log1p.f64 (expm1.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (2))) |
| 1× | egg-herbie |
| 1252× | associate-+l+ |
| 676× | associate-*r/ |
| 486× | distribute-lft-neg-out |
| 466× | associate-*l/ |
| 454× | associate-+r- |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 109 | 1083 |
| 1 | 272 | 1059 |
| 2 | 1016 | 1059 |
| 3 | 4504 | 1059 |
| 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))) |
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)) |
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)) |
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)) |
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)) |
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1)) |
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1)) |
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1)) |
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) 1) |
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 1 (expm1.f64 x))) |
(*.f64 (expm1.f64 (+.f64 x x)) (/.f64 1 (expm1.f64 x))) |
(*.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1) |
(*.f64 1 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) |
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) |
(*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (/.f64 1 (expm1.f64 x)))) |
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2) (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) |
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) 2) (*.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) (/.f64 1 (expm1.f64 x)))) |
(*.f64 (/.f64 1 (expm1.f64 x)) (expm1.f64 (+.f64 x x))) |
(*.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (/.f64 1 (neg.f64 (expm1.f64 x)))) |
(*.f64 (/.f64 1 (sqrt.f64 (expm1.f64 x))) (/.f64 (expm1.f64 (+.f64 x x)) (sqrt.f64 (expm1.f64 x)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (expm1.f64 (+.f64 x x)) (cbrt.f64 (expm1.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) 1) (/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (expm1.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (cbrt.f64 (expm1.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) (expm1.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) 2) (sqrt.f64 (expm1.f64 x))) (/.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (expm1.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) 2) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) |
(pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1) |
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2) |
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 3) |
(pow.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 3) 1/3) |
(pow.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))) -1) |
(neg.f64 (/.f64 (expm1.f64 (+.f64 x x)) (neg.f64 (expm1.f64 x)))) |
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 2)) |
(log.f64 (exp.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) |
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) |
(exp.f64 (log.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.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 x (fma.f64 x (*.f64 x 1/2) 2)) |
(+.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))) |
(+.f64 x (fma.f64 1/6 (pow.f64 x 3) (fma.f64 x (*.f64 x 1/2) 2))) |
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)) |
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) |
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)) |
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) |
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)) |
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) |
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)) |
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) |
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1)) |
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) |
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1)) |
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) |
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1)) |
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) |
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1)) |
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) 1) |
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) |
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 1 (expm1.f64 x))) |
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) |
(*.f64 (expm1.f64 (+.f64 x x)) (/.f64 1 (expm1.f64 x))) |
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) |
(*.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1) |
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) |
(*.f64 1 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) |
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) |
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) |
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) |
(*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (/.f64 1 (expm1.f64 x)))) |
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) |
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2)) |
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2) (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) |
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) |
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) 2) (*.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) (/.f64 1 (expm1.f64 x)))) |
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) |
(*.f64 (/.f64 1 (expm1.f64 x)) (expm1.f64 (+.f64 x x))) |
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) |
(*.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (/.f64 1 (neg.f64 (expm1.f64 x)))) |
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) |
(*.f64 (/.f64 1 (sqrt.f64 (expm1.f64 x))) (/.f64 (expm1.f64 (+.f64 x x)) (sqrt.f64 (expm1.f64 x)))) |
(/.f64 (/.f64 (expm1.f64 (+.f64 x x)) (sqrt.f64 (expm1.f64 x))) (sqrt.f64 (expm1.f64 x))) |
(/.f64 (expm1.f64 (+.f64 x x)) (*.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (expm1.f64 (+.f64 x x)) (cbrt.f64 (expm1.f64 x)))) |
(/.f64 (/.f64 (expm1.f64 (+.f64 x x)) (cbrt.f64 (expm1.f64 x))) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) |
(/.f64 (expm1.f64 (+.f64 x x)) (*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (expm1.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) 1) (/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (expm1.f64 x))) |
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) |
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (cbrt.f64 (expm1.f64 x)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (expm1.f64 (+.f64 x x)) (cbrt.f64 (expm1.f64 x)))) |
(/.f64 (/.f64 (expm1.f64 (+.f64 x x)) (cbrt.f64 (expm1.f64 x))) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) |
(/.f64 (expm1.f64 (+.f64 x x)) (*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (expm1.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) (expm1.f64 x))) |
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) 2) (sqrt.f64 (expm1.f64 x))) (/.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (expm1.f64 x)))) |
(*.f64 (/.f64 1 (sqrt.f64 (expm1.f64 x))) (/.f64 (expm1.f64 (+.f64 x x)) (sqrt.f64 (expm1.f64 x)))) |
(/.f64 (/.f64 (expm1.f64 (+.f64 x x)) (sqrt.f64 (expm1.f64 x))) (sqrt.f64 (expm1.f64 x))) |
(/.f64 (expm1.f64 (+.f64 x x)) (*.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) 2) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) |
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) 2) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))) |
(pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1) |
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) |
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2) |
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) |
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 3) |
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) |
(pow.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 3) 1/3) |
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) |
(pow.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))) -1) |
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) |
(neg.f64 (/.f64 (expm1.f64 (+.f64 x x)) (neg.f64 (expm1.f64 x)))) |
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) |
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 2)) |
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) |
(log.f64 (exp.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) |
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) |
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) |
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 3)) |
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) |
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) |
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) |
(exp.f64 (log.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) |
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 1)) |
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) |
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) |
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) |
Compiled 1230 to 628 computations (48.9% saved)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 100 | 3 | 103 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 0 | 1 |
| Total | 102 | 3 | 105 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (sqrt.f64 (+.f64 2 (expm1.f64 x))) |
| ▶ | 62.2% | (sqrt.f64 (+.f64 2 x)) |
| ▶ | 69.4% | (sqrt.f64 2) |
Compiled 14 to 12 computations (14.3% saved)
Compiled 4 to 4 computations (0% saved)
Compiled 10 to 7 computations (30% saved)
Compiled 14 to 8 computations (42.9% saved)
Compiled 1 to 1 computations (0% saved)
3 alts after pruning (0 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 0 | 3 | 3 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (sqrt.f64 (+.f64 2 (expm1.f64 x))) |
| ✓ | 62.2% | (sqrt.f64 (+.f64 2 x)) |
| ✓ | 69.4% | (sqrt.f64 2) |
Compiled 14 to 12 computations (14.3% 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 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) |
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))) |
| Outputs |
|---|
(sqrt.f64 (+.f64 2 (expm1.f64 x))) |
3 calls:
| 4.0ms | x |
| 2.0ms | (sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))) |
| 2.0ms | (/.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 64 to 49 computations (23.4% saved)
| Inputs |
|---|
(sqrt.f64 2) |
(sqrt.f64 (+.f64 2 x)) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
| Outputs |
|---|
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
1 calls:
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
Compiled 14 to 11 computations (21.4% saved)
Total -4.9b remaining (-24.9%)
Threshold costs -4.9b (-24.9%)
| Inputs |
|---|
(sqrt.f64 2) |
(sqrt.f64 (+.f64 2 x)) |
| Outputs |
|---|
(sqrt.f64 2) |
1 calls:
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.4% | 1 | x |
Compiled 9 to 7 computations (22.2% saved)
| 1× | egg-herbie |
| 4× | +-commutative |
| 2× | 1-exp |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 35 |
| 1 | 17 | 35 |
| 1× | done |
| 1× | saturated |
| Inputs |
|---|
(sqrt.f64 (+.f64 2 (expm1.f64 x))) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(sqrt.f64 2) |
| Outputs |
|---|
(sqrt.f64 (+.f64 2 (expm1.f64 x))) |
(sqrt.f64 (+.f64 1 (exp.f64 x))) |
(sqrt.f64 2) |
Compiled 15 to 13 computations (13.3% saved)
| 2× | egg-herbie |
| 1440× | associate-/l* |
| 1382× | associate-*r* |
| 1160× | associate-/r* |
| 1100× | distribute-lft-in |
| 976× | distribute-rgt-in |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 25 |
| 1 | 27 | 25 |
| 2 | 36 | 25 |
| 3 | 62 | 25 |
| 4 | 135 | 21 |
| 5 | 349 | 15 |
| 6 | 1238 | 15 |
| 0 | 85 | 840 |
| 1 | 200 | 790 |
| 2 | 709 | 616 |
| 3 | 2924 | 592 |
| 1× | node limit |
| 1× | node limit |
Compiled 123 to 86 computations (30.1% saved)
Compiled 13 to 11 computations (15.4% saved)
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