Time bar (total: 1.1min)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 1.6% | 98.4% | 0 |
| 0% | 1.6% | 98.4% | 1 |
| 0% | 1.6% | 98.4% | 2 |
| 0% | 1.6% | 98.4% | 3 |
| 0% | 1.6% | 98.4% | 4 |
| 0% | 1.6% | 98.4% | 5 |
| 0% | 1.6% | 98.4% | 6 |
| 0% | 1.6% | 98.4% | 7 |
| 0% | 1.6% | 98.4% | 8 |
| 0% | 1.6% | 98.4% | 9 |
| 0% | 1.6% | 98.4% | 10 |
| 0% | 1.6% | 98.4% | 11 |
| 0% | 1.6% | 98.4% | 12 |
| 0% | 1.6% | 98.4% | 13 |
| 0% | 1.6% | 98.4% | 14 |
Compiled 54 to 41 computations (24.1% saved)
| 2.4s | 8256× | body | 128 | valid |
Compiled 147 to 112 computations (23.8% saved)
| 1× | egg-herbie |
| 1145× | fma-def_binary32 |
| 518× | unswap-sqr_binary32 |
| 445× | fma-neg_binary32 |
| 420× | times-frac_binary32 |
| 354× | associate-*l*_binary32 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 59 |
| 1 | 42 | 59 |
| 2 | 72 | 59 |
| 3 | 120 | 51 |
| 4 | 179 | 48 |
| 5 | 319 | 46 |
| 6 | 505 | 46 |
| 7 | 788 | 46 |
| 8 | 1249 | 46 |
| 9 | 2584 | 46 |
| 10 | 4419 | 46 |
| 11 | 4832 | 46 |
| 12 | 4827 | 46 |
1 alts after pruning (1 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 1 | 2 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 2 | 1 | 3 |
| Status | Error | Program |
| ▶ | 0.3b | (*.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1))) |
Compiled 127 to 93 computations (26.8% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.1b | (exp.f32 (/.f32 (PI.f32) s)) |
| ✓ | 0.3b | (*.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1))) |
| ✓ | 0.3b | (/.f32 (PI.f32) s) |
| ✓ | 0.3b | (/.f32 (neg.f32 (PI.f32)) s) |
4 calls:
| 1.1s | (*.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1))) |
| 4.0ms | (exp.f32 (/.f32 (PI.f32) s)) |
| 3.0ms | (/.f32 (neg.f32 (PI.f32)) s) |
| 2.0ms | (/.f32 (PI.f32) s) |
| 1× | rewrite-expression-head |
| 58× | add-sqr-sqrt_binary32 |
| 56× | *-un-lft-identity_binary32 |
| 52× | times-frac_binary32 |
| 48× | add-cube-cbrt_binary32 |
| 16× | log-prod_binary32 |
4 calls:
| 49.0ms | (*.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1))) |
| 3.0ms | (/.f32 (neg.f32 (PI.f32)) s) |
| 2.0ms | (exp.f32 (/.f32 (PI.f32) s)) |
| 2.0ms | (/.f32 (PI.f32) s) |
| 1× | egg-herbie |
| 717× | times-frac_binary32 |
| 490× | associate-/l*_binary32 |
| 475× | associate-/r*_binary32 |
| 286× | fma-def_binary32 |
| 146× | *-commutative_binary32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 593 | 9374 |
| 1 | 1771 | 8936 |
| 2 | 5237 | 8936 |
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 230 | 7 | 237 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 231 | 7 | 238 |
| Status | Error | Program |
| 0.6b | (*.f32 (sqrt.f32 s) (*.f32 (neg.f32 (sqrt.f32 s)) (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1)))) | |
| 0.8b | (*.f32 (*.f32 (cbrt.f32 (*.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1)))) (cbrt.f32 (*.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1))))) (cbrt.f32 (*.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1))))) | |
| 0.9b | (*.f32 (*.f32 (neg.f32 s) (*.f32 (cbrt.f32 (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1))) (cbrt.f32 (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1))))) (cbrt.f32 (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1)))) | |
| 0.4b | (+.f32 (*.f32 (neg.f32 s) (log1p.f32 (/.f32 1 (sqrt.f32 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s))))))))) (*.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 1 (sqrt.f32 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s))))))) -1)))) | |
| 0.5b | (+.f32 (*.f32 (neg.f32 s) (*.f32 2 (log.f32 (cbrt.f32 (+.f32 -1 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s))))))))))) (*.f32 (neg.f32 s) (log.f32 (cbrt.f32 (+.f32 -1 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s))))))))))) | |
| ▶ | 0.3b | (neg.f32 (*.f32 s (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1)))) |
| 1.1b | (*.f32 (*.f32 (neg.f32 s) (sqrt.f32 (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1)))) (sqrt.f32 (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1)))) |
Compiled 13729 to 7656 computations (44.2% saved)
Found 4 expressions with local error:
| New | Error | Program |
| 0.1b | (exp.f32 (/.f32 (PI.f32) s)) | |
| ✓ | 0.3b | (*.f32 s (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1))) |
| 0.3b | (/.f32 (PI.f32) s) | |
| 0.3b | (/.f32 (neg.f32 (PI.f32)) s) |
1 calls:
| 1.0s | (*.f32 s (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1))) |
| 1× | rewrite-expression-head |
| 16× | log-prod_binary32 |
| 15× | add-sqr-sqrt_binary32 |
| 13× | *-un-lft-identity_binary32 |
| 8× | distribute-lft-in_binary32 |
| 8× | distribute-rgt-in_binary32 |
1 calls:
| 51.0ms | (*.f32 s (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1))) |
| 1× | egg-herbie |
| 747× | times-frac_binary32 |
| 556× | associate-/l*_binary32 |
| 439× | associate-/r*_binary32 |
| 268× | fma-def_binary32 |
| 132× | *-commutative_binary32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 448 | 7271 |
| 1 | 1460 | 6894 |
| 2 | 5067 | 6894 |
9 alts after pruning (8 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 216 | 6 | 222 |
| Fresh | 4 | 2 | 6 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 220 | 9 | 229 |
| Status | Error | Program |
| 0.5b | (neg.f32 (+.f32 (*.f32 s (*.f32 2 (log.f32 (cbrt.f32 (+.f32 -1 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s))))))))))) (*.f32 s (log.f32 (cbrt.f32 (+.f32 -1 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))))))))) | |
| ✓ | 0.3b | (neg.f32 (*.f32 s (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1)))) |
| 0.8b | (neg.f32 (*.f32 (*.f32 (cbrt.f32 (*.f32 s (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1)))) (cbrt.f32 (*.f32 s (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1))))) (cbrt.f32 (*.f32 s (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1)))))) | |
| 1.1b | (*.f32 (*.f32 (neg.f32 s) (sqrt.f32 (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1)))) (sqrt.f32 (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1)))) | |
| 0.6b | (*.f32 (sqrt.f32 s) (*.f32 (neg.f32 (sqrt.f32 s)) (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1)))) | |
| 3.4b | (neg.f32 (exp.f32 (log.f32 (*.f32 s (log.f32 (+.f32 -1 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))))))))) | |
| ▶ | 0.4b | (neg.f32 (+.f32 (*.f32 s (log1p.f32 (/.f32 1 (sqrt.f32 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s))))))))) (*.f32 s (log.f32 (+.f32 (/.f32 1 (sqrt.f32 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s))))))) -1))))) |
| 1.2b | (neg.f32 (*.f32 (*.f32 (sqrt.f32 s) (sqrt.f32 (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1)))) (*.f32 (sqrt.f32 s) (sqrt.f32 (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1)))))) | |
| 1.1b | (neg.f32 (*.f32 (sqrt.f32 (*.f32 s (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1)))) (sqrt.f32 (*.f32 s (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1)))))) |
Compiled 13376 to 7713 computations (42.3% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.3b | (+.f32 (*.f32 s (log1p.f32 (/.f32 1 (sqrt.f32 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s))))))))) (*.f32 s (log.f32 (+.f32 (/.f32 1 (sqrt.f32 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s))))))) -1)))) |
| ✓ | 0.3b | (/.f32 1 (sqrt.f32 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s))))))) |
| 0.3b | (/.f32 (PI.f32) s) | |
| ✓ | 0.3b | (*.f32 s (log.f32 (+.f32 (/.f32 1 (sqrt.f32 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s))))))) -1))) |
3 calls:
| 18.2s | (+.f32 (*.f32 s (log1p.f32 (/.f32 1 (sqrt.f32 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s))))))))) (*.f32 s (log.f32 (+.f32 (/.f32 1 (sqrt.f32 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s))))))) -1)))) |
| 5.4s | (*.f32 s (log.f32 (+.f32 (/.f32 1 (sqrt.f32 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s))))))) -1))) |
| 701.0ms | (/.f32 1 (sqrt.f32 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s))))))) |
| 1× | rewrite-expression-head |
| 237× | *-un-lft-identity_binary32 |
| 125× | times-frac_binary32 |
| 77× | distribute-lft-out_binary32 |
| 63× | add-sqr-sqrt_binary32 |
| 56× | sqrt-prod_binary32 |
3 calls:
| 50.0ms | (+.f32 (*.f32 s (log1p.f32 (/.f32 1 (sqrt.f32 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s))))))))) (*.f32 s (log.f32 (+.f32 (/.f32 1 (sqrt.f32 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s))))))) -1)))) |
| 49.0ms | (*.f32 s (log.f32 (+.f32 (/.f32 1 (sqrt.f32 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s))))))) -1))) |
| 36.0ms | (/.f32 1 (sqrt.f32 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s))))))) |
| 1× | egg-herbie |
| 1032× | fma-def_binary32 |
| 380× | associate-/l*_binary32 |
| 308× | times-frac_binary32 |
| 36× | sqr-pow_binary32 |
| 32× | sub-neg_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 2807 | 78502 |
| 1 | 5364 | 78502 |
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 393 | 4 | 397 |
| Fresh | 4 | 3 | 7 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 0 | 1 |
| Total | 399 | 7 | 406 |
| Status | Error | Program |
| 0.8b | (neg.f32 (*.f32 (*.f32 (cbrt.f32 (*.f32 s (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1)))) (cbrt.f32 (*.f32 s (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1))))) (cbrt.f32 (*.f32 s (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1)))))) | |
| 1.1b | (*.f32 (*.f32 (neg.f32 s) (sqrt.f32 (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1)))) (sqrt.f32 (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1)))) | |
| 0.4b | (neg.f32 (+.f32 (*.f32 s (log1p.f32 (*.f32 (/.f32 1 (sqrt.f32 (+.f32 (pow.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) 3) (pow.f32 (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))) 3)))) (sqrt.f32 (+.f32 (*.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 (PI.f32) s)))))) (-.f32 (*.f32 (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s))))) (*.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s))))))))))) (*.f32 s (log.f32 (+.f32 (/.f32 1 (sqrt.f32 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s))))))) -1))))) | |
| 0.5b | (neg.f32 (+.f32 (*.f32 s (+.f32 (log1p.f32 (/.f32 1 (sqrt.f32 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))))) (log.f32 (+.f32 (sqrt.f32 (/.f32 1 (sqrt.f32 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))))) 1)))) (*.f32 s (log.f32 (-.f32 (sqrt.f32 (/.f32 1 (sqrt.f32 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))))) 1))))) | |
| ▶ | 0.3b | (neg.f32 (fma.f32 s (log1p.f32 (/.f32 1 (sqrt.f32 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))))) (*.f32 s (log.f32 (+.f32 (/.f32 1 (sqrt.f32 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s))))))) -1))))) |
| 0.5b | (neg.f32 (+.f32 (*.f32 s (*.f32 2 (log.f32 (cbrt.f32 (+.f32 -1 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s))))))))))) (*.f32 s (log.f32 (cbrt.f32 (+.f32 -1 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))))))))) | |
| 0.4b | (neg.f32 (*.f32 s (+.f32 (log.f32 (-.f32 (sqrt.f32 (/.f32 1 (-.f32 (+.f32 (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 (PI.f32) s)))))) (/.f32 u (+.f32 1 (exp.f32 (/.f32 (PI.f32) s))))))) 1)) (log1p.f32 (sqrt.f32 (/.f32 1 (-.f32 (+.f32 (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 (PI.f32) s)))))) (/.f32 u (+.f32 1 (exp.f32 (/.f32 (PI.f32) s))))))))))) |
Compiled 113665 to 67437 computations (40.7% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.2b | (fma.f32 s (log1p.f32 (/.f32 1 (sqrt.f32 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))))) (*.f32 s (log.f32 (+.f32 (/.f32 1 (sqrt.f32 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s))))))) -1)))) |
| 0.3b | (/.f32 1 (sqrt.f32 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s))))))) | |
| 0.3b | (/.f32 (PI.f32) s) | |
| 0.3b | (*.f32 s (log.f32 (+.f32 (/.f32 1 (sqrt.f32 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s))))))) -1))) |
1 calls:
| 18.3s | (fma.f32 s (log1p.f32 (/.f32 1 (sqrt.f32 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))))) (*.f32 s (log.f32 (+.f32 (/.f32 1 (sqrt.f32 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s))))))) -1)))) |
| 1× | rewrite-expression-head |
| 1× | *-un-lft-identity_binary32 |
| 1× | add-sqr-sqrt_binary32 |
| 1× | add-cube-cbrt_binary32 |
| 1× | add-cbrt-cube_binary32 |
| 1× | add-exp-log_binary32 |
1 calls:
| 0.0ms | (fma.f32 s (log1p.f32 (/.f32 1 (sqrt.f32 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))))) (*.f32 s (log.f32 (+.f32 (/.f32 1 (sqrt.f32 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s))))))) -1)))) |
| 1× | egg-herbie |
| 581× | fma-def_binary32 |
| 338× | associate-/l*_binary32 |
| 314× | associate-/r*_binary32 |
| 300× | associate-*r*_binary32 |
| 294× | times-frac_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1919 | 41412 |
| 1 | 5356 | 41412 |
7 alts after pruning (6 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 358 | 1 | 359 |
| Fresh | 1 | 5 | 6 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 359 | 7 | 366 |
| Status | Error | Program |
| 0.8b | (neg.f32 (*.f32 (*.f32 (cbrt.f32 (*.f32 s (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1)))) (cbrt.f32 (*.f32 s (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1))))) (cbrt.f32 (*.f32 s (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1)))))) | |
| 1.1b | (*.f32 (*.f32 (neg.f32 s) (sqrt.f32 (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1)))) (sqrt.f32 (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 (PI.f32)) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))) -1)))) | |
| 0.5b | (neg.f32 (+.f32 (*.f32 s (+.f32 (log1p.f32 (/.f32 1 (sqrt.f32 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))))) (log.f32 (+.f32 (sqrt.f32 (/.f32 1 (sqrt.f32 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))))) 1)))) (*.f32 s (log.f32 (-.f32 (sqrt.f32 (/.f32 1 (sqrt.f32 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))))) 1))))) | |
| ✓ | 0.3b | (neg.f32 (fma.f32 s (log1p.f32 (/.f32 1 (sqrt.f32 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))))) (*.f32 s (log.f32 (+.f32 (/.f32 1 (sqrt.f32 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s))))))) -1))))) |
| 0.3b | (neg.f32 (fma.f32 s (log1p.f32 (*.f32 (/.f32 1 (sqrt.f32 (+.f32 (pow.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) 3) (pow.f32 (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))) 3)))) (sqrt.f32 (+.f32 (*.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 (PI.f32) s)))))) (-.f32 (*.f32 (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s))))) (*.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))))))) (*.f32 s (log.f32 (+.f32 (/.f32 1 (sqrt.f32 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s))))))) -1))))) | |
| 0.5b | (neg.f32 (+.f32 (*.f32 s (*.f32 2 (log.f32 (cbrt.f32 (+.f32 -1 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s))))))))))) (*.f32 s (log.f32 (cbrt.f32 (+.f32 -1 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 (PI.f32) s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))))))))))) | |
| 0.4b | (neg.f32 (*.f32 s (+.f32 (log.f32 (-.f32 (sqrt.f32 (/.f32 1 (-.f32 (+.f32 (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 (PI.f32) s)))))) (/.f32 u (+.f32 1 (exp.f32 (/.f32 (PI.f32) s))))))) 1)) (log1p.f32 (sqrt.f32 (/.f32 1 (-.f32 (+.f32 (/.f32 1 (+.f32 1 (exp.f32 (/.f32 (PI.f32) s)))) (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 (PI.f32) s)))))) (/.f32 u (+.f32 1 (exp.f32 (/.f32 (PI.f32) s))))))))))) |
Compiled 109162 to 64598 computations (40.8% saved)
Total 0.3b remaining (78.8%)
Threshold costs 0.3b (78.8%)
Compiled 66480 to 43970 computations (33.9% saved)
| 1× | egg-herbie |
| 9× | +-commutative_binary32 |
| 5× | *-commutative_binary32 |
| 5× | sub-neg_binary32 |
| 4× | neg-sub0_binary32 |
| 4× | neg-mul-1_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 89 |
| 1 | 43 | 89 |
| 2 | 52 | 89 |
| 3 | 58 | 89 |
| 4 | 60 | 89 |
| 5 | 58 | 89 |
Compiled 660 to 429 computations (35% saved)
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