Time bar (total: 6.7s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 24.7% | 75.3% | 0 |
| 0% | 24.7% | 75.3% | 1 |
| 0% | 24.7% | 75.3% | 2 |
| 12.4% | 12.4% | 75.3% | 3 |
| 12.4% | 12.4% | 75.3% | 4 |
| 18.5% | 6.2% | 75.3% | 5 |
| 18.5% | 6.2% | 75.3% | 6 |
| 21.6% | 3.1% | 75.3% | 7 |
| 21.6% | 3.1% | 75.3% | 8 |
| 23.2% | 1.5% | 75.3% | 9 |
| 23.2% | 1.5% | 75.3% | 10 |
| 23.9% | 0.8% | 75.3% | 11 |
| 23.9% | 0.8% | 75.3% | 12 |
| 24.3% | 0.4% | 75.3% | 13 |
| 24.3% | 0.4% | 75.3% | 14 |
Compiled 35 to 18 computations (48.6% saved)
| 1.5s | 8256× | body | 128 | valid |
Compiled 98 to 49 computations (50% saved)
| 1× | egg-herbie |
| 505× | fma-def_binary32 |
| 440× | times-frac_binary32 |
| 349× | distribute-rgt-in_binary32 |
| 300× | fma-neg_binary32 |
| 273× | distribute-rgt-out_binary32 |
Useful iterations: 6 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 43 |
| 1 | 38 | 43 |
| 2 | 82 | 41 |
| 3 | 181 | 41 |
| 4 | 357 | 39 |
| 5 | 772 | 30 |
| 6 | 2292 | 29 |
| 7 | 3341 | 29 |
| 8 | 4243 | 29 |
| 9 | 4922 | 29 |
| 10 | 4875 | 29 |
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 2 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 3 | 3 |
| Status | Error | Program |
| 0.2b | (/.f32 (/.f32 1 s) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 2))) | |
| ▶ | 0.2b | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) |
Compiled 142 to 75 computations (47.2% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (*.f32 (*.f32 s (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) |
| ✓ | 0.0b | (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) |
| ✓ | 0.0b | (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) |
| ✓ | 0.1b | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) |
4 calls:
| 148.0ms | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) |
| 31.0ms | (*.f32 (*.f32 s (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) |
| 14.0ms | (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) |
| 10.0ms | (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) |
| 1× | rewrite-expression-head |
| 58× | exp-prod_binary32 |
| 57× | times-frac_binary32 |
| 48× | add-sqr-sqrt_binary32 |
| 46× | *-un-lft-identity_binary32 |
| 42× | add-cube-cbrt_binary32 |
4 calls:
| 24.0ms | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) |
| 14.0ms | (*.f32 (*.f32 s (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) |
| 8.0ms | (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) |
| 6.0ms | (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) |
| 1× | egg-herbie |
| 857× | distribute-rgt-in_binary32 |
| 838× | fma-def_binary32 |
| 248× | times-frac_binary32 |
| 170× | associate-*l*_binary32 |
| 162× | associate-/l*_binary32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 306 | 5813 |
| 1 | 750 | 5303 |
| 2 | 2630 | 5170 |
| 3 | 5339 | 5170 |
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 492 | 5 | 497 |
| Fresh | 1 | 0 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 494 | 5 | 499 |
| Status | Error | Program |
| ▶ | 0.1b | (*.f32 (/.f32 1 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)) (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1))) |
| 0.1b | (/.f32 (/.f32 -1 (exp.f32 (/.f32 (fabs.f32 x) s))) (neg.f32 (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1) 2)))) | |
| 0.6b | (exp.f32 (-.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) (fma.f32 2 (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (log.f32 s)))) | |
| 0.2b | (/.f32 (cbrt.f32 (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) -3))) (*.f32 (*.f32 s (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) | |
| 0.2b | (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (fma.f32 s (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 2 (pow.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) -2)) s)) |
Compiled 17592 to 5386 computations (69.4% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) |
| ✓ | 0.0b | (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1) |
| ✓ | 0.0b | (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1)) |
| ✓ | 0.1b | (*.f32 (/.f32 1 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)) (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1))) |
4 calls:
| 125.0ms | (*.f32 (/.f32 1 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)) (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1))) |
| 53.0ms | (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1)) |
| 13.0ms | (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1) |
| 11.0ms | (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) |
| 1× | rewrite-expression-head |
| 82× | times-frac_binary32 |
| 81× | add-sqr-sqrt_binary32 |
| 76× | *-un-lft-identity_binary32 |
| 58× | add-cube-cbrt_binary32 |
| 54× | exp-prod_binary32 |
4 calls:
| 29.0ms | (*.f32 (/.f32 1 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)) (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1))) |
| 21.0ms | (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1)) |
| 11.0ms | (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1) |
| 6.0ms | (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) |
| 1× | egg-herbie |
| 551× | associate-/r*_binary32 |
| 544× | fma-def_binary32 |
| 390× | associate-/l/_binary32 |
| 219× | associate-/r/_binary32 |
| 155× | fma-neg_binary32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 318 | 7877 |
| 1 | 757 | 7160 |
| 2 | 2170 | 6063 |
| 3 | 4495 | 6048 |
| 4 | 4966 | 6048 |
| 5 | 4937 | 6048 |
5 alts after pruning (4 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 462 | 0 | 462 |
| Fresh | 0 | 4 | 4 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 462 | 5 | 467 |
| Status | Error | Program |
| ✓ | 0.1b | (*.f32 (/.f32 1 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)) (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1))) |
| ▶ | 0.1b | (/.f32 (/.f32 -1 (exp.f32 (/.f32 (fabs.f32 x) s))) (neg.f32 (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1) 2)))) |
| 0.6b | (exp.f32 (-.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) (fma.f32 2 (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (log.f32 s)))) | |
| 0.2b | (/.f32 (cbrt.f32 (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) -3))) (*.f32 (*.f32 s (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) | |
| 0.2b | (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (fma.f32 s (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 2 (pow.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) -2)) s)) |
Compiled 16909 to 4696 computations (72.2% saved)
Found 4 expressions with local error:
| New | Error | Program |
| 0.0b | (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1) | |
| ✓ | 0.0b | (/.f32 -1 (exp.f32 (/.f32 (fabs.f32 x) s))) |
| ✓ | 0.0b | (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1) 2) |
| ✓ | 0.1b | (/.f32 (/.f32 -1 (exp.f32 (/.f32 (fabs.f32 x) s))) (neg.f32 (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1) 2)))) |
3 calls:
| 266.0ms | (/.f32 (/.f32 -1 (exp.f32 (/.f32 (fabs.f32 x) s))) (neg.f32 (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1) 2)))) |
| 25.0ms | (/.f32 -1 (exp.f32 (/.f32 (fabs.f32 x) s))) |
| 19.0ms | (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1) 2) |
| 1× | rewrite-expression-head |
| 150× | times-frac_binary32 |
| 78× | *-un-lft-identity_binary32 |
| 76× | add-sqr-sqrt_binary32 |
| 76× | add-cube-cbrt_binary32 |
| 16× | associate-/l*_binary32 |
3 calls:
| 11.0ms | (/.f32 (/.f32 -1 (exp.f32 (/.f32 (fabs.f32 x) s))) (neg.f32 (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1) 2)))) |
| 9.0ms | (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1) 2) |
| 8.0ms | (/.f32 -1 (exp.f32 (/.f32 (fabs.f32 x) s))) |
| 1× | egg-herbie |
| 698× | associate-/r/_binary32 |
| 299× | associate-/r*_binary32 |
| 267× | associate-/l/_binary32 |
| 212× | fma-def_binary32 |
| 177× | distribute-rgt-in_binary32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 337 | 9035 |
| 1 | 822 | 8451 |
| 2 | 2492 | 8322 |
| 3 | 5116 | 8322 |
5 alts after pruning (3 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 330 | 0 | 330 |
| Fresh | 0 | 3 | 3 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 330 | 5 | 335 |
| Status | Error | Program |
| ✓ | 0.1b | (*.f32 (/.f32 1 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)) (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1))) |
| ✓ | 0.1b | (/.f32 (/.f32 -1 (exp.f32 (/.f32 (fabs.f32 x) s))) (neg.f32 (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1) 2)))) |
| 0.6b | (exp.f32 (-.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) (fma.f32 2 (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (log.f32 s)))) | |
| 0.2b | (/.f32 (cbrt.f32 (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) -3))) (*.f32 (*.f32 s (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) | |
| ▶ | 0.2b | (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (fma.f32 s (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 2 (pow.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) -2)) s)) |
Compiled 11545 to 5303 computations (54.1% saved)
Found 4 expressions with local error:
| New | Error | Program |
| 0.0b | (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) | |
| ✓ | 0.0b | (exp.f32 (/.f32 (fabs.f32 x) s)) |
| ✓ | 0.0b | (pow.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) -2) |
| ✓ | 0.1b | (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (fma.f32 s (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 2 (pow.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) -2)) s)) |
3 calls:
| 229.0ms | (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (fma.f32 s (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 2 (pow.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) -2)) s)) |
| 30.0ms | (pow.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) -2) |
| 9.0ms | (exp.f32 (/.f32 (fabs.f32 x) s)) |
| 1× | rewrite-expression-head |
| 51× | times-frac_binary32 |
| 50× | exp-prod_binary32 |
| 47× | add-sqr-sqrt_binary32 |
| 41× | *-un-lft-identity_binary32 |
| 41× | add-cube-cbrt_binary32 |
3 calls:
| 10.0ms | (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (fma.f32 s (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 2 (pow.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) -2)) s)) |
| 5.0ms | (pow.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) -2) |
| 3.0ms | (exp.f32 (/.f32 (fabs.f32 x) s)) |
| 1× | egg-herbie |
| 837× | fma-def_binary32 |
| 482× | times-frac_binary32 |
| 401× | associate-/l*_binary32 |
| 330× | associate-/r*_binary32 |
| 268× | associate-*l*_binary32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 252 | 4341 |
| 1 | 517 | 4041 |
| 2 | 1272 | 3946 |
| 3 | 4453 | 3946 |
| 4 | 5087 | 3946 |
5 alts after pruning (2 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 375 | 0 | 375 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 375 | 5 | 380 |
| Status | Error | Program |
| ✓ | 0.1b | (*.f32 (/.f32 1 (fma.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)) (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1))) |
| ✓ | 0.1b | (/.f32 (/.f32 -1 (exp.f32 (/.f32 (fabs.f32 x) s))) (neg.f32 (*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 1) 2)))) |
| 0.6b | (exp.f32 (-.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) (fma.f32 2 (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (log.f32 s)))) | |
| 0.2b | (/.f32 (cbrt.f32 (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) -3))) (*.f32 (*.f32 s (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) | |
| ✓ | 0.2b | (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (fma.f32 s (fma.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) 2 (pow.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) -2)) s)) |
Compiled 12968 to 3745 computations (71.1% saved)
Total 0.1b remaining (75%)
Threshold costs 0.1b (75%)
Compiled 14233 to 8876 computations (37.6% saved)
| 1× | egg-herbie |
| 4× | *-commutative_binary32 |
| 3× | +-commutative_binary32 |
| 3× | sub-neg_binary32 |
| 3× | neg-sub0_binary32 |
| 3× | neg-mul-1_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 33 |
| 1 | 25 | 33 |
| 2 | 31 | 33 |
| 3 | 35 | 33 |
| 4 | 36 | 33 |
| 5 | 35 | 33 |
Compiled 173 to 100 computations (42.2% saved)
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