Time bar (total: 4.9s)
| 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)
| 1.3s | 8256× | body | 128 | valid |
Compiled 70 to 36 computations (48.6% saved)
| 2× | egg-herbie |
| 1068× | fma-def_binary32 |
| 462× | associate-/l*_binary32 |
| 340× | distribute-rgt-in_binary32 |
| 266× | associate-/l/_binary32 |
| 263× | associate-/r*_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 86 |
| 1 | 69 | 86 |
| 2 | 207 | 82 |
| 3 | 485 | 82 |
| 4 | 1076 | 78 |
| 5 | 2341 | 60 |
| 0 | 2 | 2 |
| 1× | saturated |
| 1× | node limit |
Compiled 28 to 13 computations (53.6% saved)
| 1× | egg-herbie |
| 505× | fma-def_binary32 |
| 440× | times-frac_binary32 |
| 346× | distribute-rgt-in_binary32 |
| 272× | distribute-rgt-out_binary32 |
| 271× | distribute-lft-in_binary32 |
Useful iterations: 6 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 43 |
| 1 | 38 | 43 |
| 2 | 107 | 41 |
| 3 | 246 | 41 |
| 4 | 518 | 39 |
| 5 | 1075 | 30 |
| 6 | 3430 | 29 |
| 7 | 4946 | 29 |
| 1× | node limit |
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 |
| 0.3b | (/.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))))) | |
| ▶ | 0.3b | (/.f32 (/.f32 1 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) 2))) s) |
Compiled 142 to 78 computations (45.1% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (/.f32 1 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) 2))) |
| ✓ | 0.0b | (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) |
| ✓ | 0.1b | (exp.f32 (/.f32 (fabs.f32 x) s)) |
| ✓ | 0.2b | (/.f32 (/.f32 1 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) 2))) s) |
24 calls:
| 22.0ms | (/.f32 (/.f32 1 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) 2))) s) | x | 0 |
| 17.0ms | (/.f32 (/.f32 1 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) 2))) s) | x | inf |
| 16.0ms | (/.f32 (/.f32 1 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) 2))) s) | x | -inf |
| 15.0ms | (/.f32 1 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) 2))) | x | -inf |
| 14.0ms | (/.f32 1 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) 2))) | x | inf |
| 1× | batch-egg-rewrite |
| 678× | prod-diff_binary32 |
| 165× | add-sqr-sqrt_binary32 |
| 156× | log1p-expm1-u_binary32 |
| 156× | expm1-log1p-u_binary32 |
| 155× | add-cbrt-cube_binary32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 71 |
| 1 | 331 | 55 |
| 2 | 4941 | 55 |
| 1× | node limit |
| 1× | egg-herbie |
| 386× | times-frac_binary32 |
| 371× | fma-neg_binary32 |
| 370× | unswap-sqr_binary32 |
| 359× | distribute-rgt-neg-in_binary32 |
| 306× | distribute-neg-frac_binary32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 75 | 1764 |
| 1 | 208 | 1716 |
| 2 | 624 | 1688 |
| 3 | 3071 | 1654 |
| 1× | node limit |
5 alts after pruning (4 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 107 | 3 | 110 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 107 | 5 | 112 |
| Status | Error | Program |
| ▶ | 0.3b | (/.f32 1 (fma.f32 s (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) 2) (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))))) |
| 0.3b | (/.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))))) | |
| 12.8b | (/.f32 (/.f32 1 (+.f32 (pow.f32 (E.f32) (/.f32 x s)) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) 2))) s) | |
| 27.1b | (fma.f32 (/.f32 x (/.f32 (pow.f32 s 3) x)) -1/16 (/.f32 1/4 s)) | |
| ✓ | 0.3b | (/.f32 (/.f32 1 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) 2))) s) |
Compiled 2631 to 1305 computations (50.4% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) 2) |
| ✓ | 0.0b | (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))) |
| 0.1b | (exp.f32 (/.f32 (fabs.f32 x) s)) | |
| ✓ | 0.2b | (fma.f32 s (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) 2) (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)))) |
18 calls:
| 9.0ms | (fma.f32 s (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) 2) (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)))) | x | inf |
| 9.0ms | (fma.f32 s (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) 2) (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)))) | x | -inf |
| 7.0ms | (fma.f32 s (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) 2) (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)))) | x | 0 |
| 6.0ms | (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))) | x | inf |
| 6.0ms | (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))) | x | -inf |
| 1× | batch-egg-rewrite |
| 382× | prod-diff_binary32 |
| 187× | expm1-udef_binary32 |
| 187× | log1p-udef_binary32 |
| 162× | log-pow_binary32 |
| 142× | fma-def_binary32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 47 |
| 1 | 219 | 39 |
| 2 | 3013 | 39 |
| 1× | node limit |
| 1× | egg-herbie |
| 831× | fma-def_binary32 |
| 674× | associate-*l/_binary32 |
| 357× | associate-/l/_binary32 |
| 285× | associate-/r/_binary32 |
| 256× | unswap-sqr_binary32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 870 |
| 1 | 166 | 826 |
| 2 | 467 | 820 |
| 3 | 1793 | 800 |
| 1× | node limit |
6 alts after pruning (5 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 168 | 3 | 171 |
| Fresh | 1 | 2 | 3 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 170 | 6 | 176 |
| Status | Error | Program |
| 0.8b | (/.f32 1 (fma.f32 s (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) 2) (/.f32 s (+.f32 (fma.f32 (/.f32 1/2 s) (/.f32 (*.f32 x x) s) 1) (fma.f32 1/6 (pow.f32 (/.f32 (fabs.f32 x) s) 3) (/.f32 (fabs.f32 x) s)))))) | |
| ▶ | 0.3b | (/.f32 1 (expm1.f32 (log1p.f32 (fma.f32 s (+.f32 (exp.f32 (/.f32 x s)) 2) (/.f32 s (exp.f32 (/.f32 x s))))))) |
| 0.4b | (/.f32 1 (pow.f32 (sqrt.f32 (fma.f32 s (+.f32 (exp.f32 (/.f32 x s)) 2) (/.f32 s (exp.f32 (/.f32 x s))))) 2)) | |
| 12.8b | (/.f32 (/.f32 1 (+.f32 (pow.f32 (E.f32) (/.f32 x s)) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) 2))) s) | |
| 27.1b | (fma.f32 (/.f32 x (/.f32 (pow.f32 s 3) x)) -1/16 (/.f32 1/4 s)) | |
| ✓ | 0.3b | (/.f32 (/.f32 1 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) 2))) s) |
Compiled 4145 to 1751 computations (57.8% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.1b | (expm1.f32 (log1p.f32 (fma.f32 s (+.f32 (exp.f32 (/.f32 x s)) 2) (/.f32 s (exp.f32 (/.f32 x s)))))) |
| ✓ | 0.1b | (fma.f32 s (+.f32 (exp.f32 (/.f32 x s)) 2) (/.f32 s (exp.f32 (/.f32 x s)))) |
| ✓ | 0.1b | (/.f32 s (exp.f32 (/.f32 x s))) |
| ✓ | 2.6b | (log1p.f32 (fma.f32 s (+.f32 (exp.f32 (/.f32 x s)) 2) (/.f32 s (exp.f32 (/.f32 x s))))) |
24 calls:
| 226.0ms | (log1p.f32 (fma.f32 s (+.f32 (exp.f32 (/.f32 x s)) 2) (/.f32 s (exp.f32 (/.f32 x s))))) | x | inf |
| 198.0ms | (log1p.f32 (fma.f32 s (+.f32 (exp.f32 (/.f32 x s)) 2) (/.f32 s (exp.f32 (/.f32 x s))))) | x | -inf |
| 17.0ms | (log1p.f32 (fma.f32 s (+.f32 (exp.f32 (/.f32 x s)) 2) (/.f32 s (exp.f32 (/.f32 x s))))) | s | 0 |
| 14.0ms | (fma.f32 s (+.f32 (exp.f32 (/.f32 x s)) 2) (/.f32 s (exp.f32 (/.f32 x s)))) | s | 0 |
| 8.0ms | (log1p.f32 (fma.f32 s (+.f32 (exp.f32 (/.f32 x s)) 2) (/.f32 s (exp.f32 (/.f32 x s))))) | x | 0 |
| 1× | batch-egg-rewrite |
| 424× | prod-diff_binary32 |
| 200× | expm1-udef_binary32 |
| 200× | log1p-udef_binary32 |
| 176× | log-pow_binary32 |
| 155× | fma-def_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 74 |
| 1 | 219 | 74 |
| 2 | 2925 | 74 |
| 1× | node limit |
| 1× | egg-herbie |
| 618× | associate-/l*_binary32 |
| 284× | cancel-sign-sub-inv_binary32 |
| 272× | fma-def_binary32 |
| 233× | associate-+r+_binary32 |
| 197× | sub-neg_binary32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 218 | 2542 |
| 1 | 713 | 2502 |
| 2 | 2893 | 2433 |
| 1× | node limit |
7 alts after pruning (6 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 156 | 3 | 159 |
| Fresh | 1 | 3 | 4 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 158 | 7 | 165 |
| Status | Error | Program |
| 0.4b | (/.f32 1 (expm1.f32 (pow.f32 (sqrt.f32 (log1p.f32 (fma.f32 s (+.f32 (exp.f32 (/.f32 x s)) 2) (/.f32 s (exp.f32 (/.f32 x s)))))) 2))) | |
| ✓ | 0.3b | (/.f32 (/.f32 1 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) 2))) s) |
| 0.6b | (/.f32 1 (expm1.f32 (log1p.f32 (fma.f32 s (+.f32 (exp.f32 (/.f32 x s)) 2) (exp.f32 (-.f32 (log.f32 s) (/.f32 x s))))))) | |
| 0.8b | (/.f32 1 (fma.f32 s (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) 2) (/.f32 s (+.f32 (fma.f32 (/.f32 1/2 s) (/.f32 (*.f32 x x) s) 1) (fma.f32 1/6 (pow.f32 (/.f32 (fabs.f32 x) s) 3) (/.f32 (fabs.f32 x) s)))))) | |
| 12.8b | (/.f32 (/.f32 1 (+.f32 (pow.f32 (E.f32) (/.f32 x s)) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) 2))) s) | |
| 27.1b | (fma.f32 (/.f32 x (/.f32 (pow.f32 s 3) x)) -1/16 (/.f32 1/4 s)) | |
| ▶ | 0.3b | (/.f32 1 (expm1.f32 (log1p.f32 (fma.f32 s (+.f32 (exp.f32 (/.f32 x s)) 2) (*.f32 (/.f32 (pow.f32 (cbrt.f32 s) 2) 1) (/.f32 (cbrt.f32 s) (exp.f32 (/.f32 x s)))))))) |
Compiled 5111 to 2696 computations (47.3% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.1b | (fma.f32 s (+.f32 (exp.f32 (/.f32 x s)) 2) (*.f32 (/.f32 (pow.f32 (cbrt.f32 s) 2) 1) (/.f32 (cbrt.f32 s) (exp.f32 (/.f32 x s))))) |
| ✓ | 0.2b | (*.f32 (/.f32 (pow.f32 (cbrt.f32 s) 2) 1) (/.f32 (cbrt.f32 s) (exp.f32 (/.f32 x s)))) |
| ✓ | 0.5b | (pow.f32 (cbrt.f32 s) 2) |
| ✓ | 2.6b | (log1p.f32 (fma.f32 s (+.f32 (exp.f32 (/.f32 x s)) 2) (*.f32 (/.f32 (pow.f32 (cbrt.f32 s) 2) 1) (/.f32 (cbrt.f32 s) (exp.f32 (/.f32 x s)))))) |
21 calls:
| 201.0ms | (log1p.f32 (fma.f32 s (+.f32 (exp.f32 (/.f32 x s)) 2) (*.f32 (/.f32 (pow.f32 (cbrt.f32 s) 2) 1) (/.f32 (cbrt.f32 s) (exp.f32 (/.f32 x s)))))) | x | -inf |
| 191.0ms | (log1p.f32 (fma.f32 s (+.f32 (exp.f32 (/.f32 x s)) 2) (*.f32 (/.f32 (pow.f32 (cbrt.f32 s) 2) 1) (/.f32 (cbrt.f32 s) (exp.f32 (/.f32 x s)))))) | x | inf |
| 17.0ms | (pow.f32 (cbrt.f32 s) 2) | s | -inf |
| 17.0ms | (fma.f32 s (+.f32 (exp.f32 (/.f32 x s)) 2) (*.f32 (/.f32 (pow.f32 (cbrt.f32 s) 2) 1) (/.f32 (cbrt.f32 s) (exp.f32 (/.f32 x s))))) | s | -inf |
| 13.0ms | (log1p.f32 (fma.f32 s (+.f32 (exp.f32 (/.f32 x s)) 2) (*.f32 (/.f32 (pow.f32 (cbrt.f32 s) 2) 1) (/.f32 (cbrt.f32 s) (exp.f32 (/.f32 x s)))))) | s | 0 |
| 1× | batch-egg-rewrite |
| 568× | prod-diff_binary32 |
| 144× | add-sqr-sqrt_binary32 |
| 138× | expm1-log1p-u_binary32 |
| 137× | log1p-expm1-u_binary32 |
| 135× | add-cbrt-cube_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 59 |
| 1 | 324 | 59 |
| 2 | 3911 | 59 |
| 1× | node limit |
| 1× | egg-herbie |
| 618× | associate-/l*_binary32 |
| 284× | cancel-sign-sub-inv_binary32 |
| 272× | fma-def_binary32 |
| 233× | associate-+r+_binary32 |
| 197× | sub-neg_binary32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 218 | 2146 |
| 1 | 713 | 2112 |
| 2 | 2893 | 2043 |
| 1× | node limit |
7 alts after pruning (5 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 160 | 0 | 160 |
| Fresh | 0 | 5 | 5 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 160 | 7 | 167 |
| Status | Error | Program |
| 0.4b | (/.f32 1 (expm1.f32 (pow.f32 (sqrt.f32 (log1p.f32 (fma.f32 s (+.f32 (exp.f32 (/.f32 x s)) 2) (/.f32 s (exp.f32 (/.f32 x s)))))) 2))) | |
| ✓ | 0.3b | (/.f32 (/.f32 1 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) 2))) s) |
| 0.6b | (/.f32 1 (expm1.f32 (log1p.f32 (fma.f32 s (+.f32 (exp.f32 (/.f32 x s)) 2) (exp.f32 (-.f32 (log.f32 s) (/.f32 x s))))))) | |
| 0.8b | (/.f32 1 (fma.f32 s (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) 2) (/.f32 s (+.f32 (fma.f32 (/.f32 1/2 s) (/.f32 (*.f32 x x) s) 1) (fma.f32 1/6 (pow.f32 (/.f32 (fabs.f32 x) s) 3) (/.f32 (fabs.f32 x) s)))))) | |
| 12.8b | (/.f32 (/.f32 1 (+.f32 (pow.f32 (E.f32) (/.f32 x s)) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) 2))) s) | |
| 27.1b | (fma.f32 (/.f32 x (/.f32 (pow.f32 s 3) x)) -1/16 (/.f32 1/4 s)) | |
| ✓ | 0.3b | (/.f32 1 (expm1.f32 (log1p.f32 (fma.f32 s (+.f32 (exp.f32 (/.f32 x s)) 2) (*.f32 (/.f32 (pow.f32 (cbrt.f32 s) 2) 1) (/.f32 (cbrt.f32 s) (exp.f32 (/.f32 x s)))))))) |
Compiled 5077 to 2733 computations (46.2% saved)
Total 0.0b remaining (32.6%)
Threshold costs 0.0b (32.6%)
Compiled 13471 to 8610 computations (36.1% saved)
| 1× | egg-herbie |
| 1× | +-commutative_binary32 |
| 1× | *-commutative_binary32 |
| 1× | 1-exp_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 27 |
| 1 | 16 | 27 |
| 1× | saturated |
| 1× | fuel |
Compiled 204 to 132 computations (35.3% saved)
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