Time bar (total: 3.9s)
| 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)
| 1.4s | 8256× | body | 128 | valid |
Compiled 98 to 49 computations (50% 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 |
| ▶ | 0.2b | (/.f32 (/.f32 1 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) 2))) s) |
| 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 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))) |
| ✓ | 0.1b | (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) |
| ✓ | 0.1b | (exp.f32 (/.f32 (fabs.f32 x) s)) |
| ✓ | 0.1b | (/.f32 (/.f32 1 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) 2))) s) |
4 calls:
| 60.0ms | (/.f32 (/.f32 1 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) 2))) s) |
| 57.0ms | (/.f32 1 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) 2))) |
| 11.0ms | (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) |
| 8.0ms | (exp.f32 (/.f32 (fabs.f32 x) s)) |
| 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 |
4 calls:
| 60.0ms | (/.f32 1 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) 2))) |
| 60.0ms | (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) |
| 60.0ms | (exp.f32 (/.f32 (fabs.f32 x) s)) |
| 60.0ms | (/.f32 (/.f32 1 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) 2))) s) |
| 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 |
4 alts after pruning (4 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 107 | 3 | 110 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 108 | 4 | 112 |
| Status | Error | Program |
| 11.9b | (/.f32 (/.f32 1 (+.f32 (pow.f32 (E.f32) (/.f32 x s)) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) 2))) s) | |
| 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))))) | |
| ▶ | 0.2b | (/.f32 1 (*.f32 s (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 2 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s))))))) |
| 24.2b | (/.f32 (+.f32 1/4 (fma.f32 1/96 (pow.f32 (/.f32 (fabs.f32 x) s) 4) (fma.f32 (pow.f32 (/.f32 (fabs.f32 x) s) 6) -17/11520 (*.f32 (/.f32 (*.f32 x x) s) (/.f32 -1/16 s))))) s) |
Compiled 2647 to 1317 computations (50.2% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.1b | (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s))) |
| 0.1b | (exp.f32 (/.f32 (fabs.f32 x) s)) | |
| ✓ | 0.1b | (/.f32 1 (*.f32 s (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 2 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s))))))) |
| ✓ | 0.1b | (*.f32 s (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 2 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s)))))) |
3 calls:
| 61.0ms | (/.f32 1 (*.f32 s (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 2 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s))))))) |
| 22.0ms | (*.f32 s (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 2 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s)))))) |
| 14.0ms | (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s))) |
| 1× | batch-egg-rewrite |
| 797× | prod-diff_binary32 |
| 160× | add-sqr-sqrt_binary32 |
| 151× | add-cbrt-cube_binary32 |
| 151× | log1p-expm1-u_binary32 |
| 151× | expm1-log1p-u_binary32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 65 |
| 1 | 325 | 49 |
| 2 | 4660 | 49 |
| 1× | node limit |
3 calls:
| 57.0ms | (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s))) |
| 57.0ms | (/.f32 1 (*.f32 s (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 2 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s))))))) |
| 57.0ms | (*.f32 s (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 2 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s)))))) |
| 1× | egg-herbie |
| 713× | fma-def_binary32 |
| 567× | cancel-sign-sub-inv_binary32 |
| 266× | unswap-sqr_binary32 |
| 249× | times-frac_binary32 |
| 236× | fma-neg_binary32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 550 |
| 1 | 166 | 514 |
| 2 | 517 | 500 |
| 3 | 2373 | 496 |
| 1× | node limit |
4 alts after pruning (3 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 134 | 0 | 134 |
| Fresh | 0 | 3 | 3 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 134 | 4 | 138 |
| Status | Error | Program |
| 11.9b | (/.f32 (/.f32 1 (+.f32 (pow.f32 (E.f32) (/.f32 x s)) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) 2))) s) | |
| ▶ | 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))))) |
| ✓ | 0.2b | (/.f32 1 (*.f32 s (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 2 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s))))))) |
| 24.2b | (/.f32 (+.f32 1/4 (fma.f32 1/96 (pow.f32 (/.f32 (fabs.f32 x) s) 4) (fma.f32 (pow.f32 (/.f32 (fabs.f32 x) s) 6) -17/11520 (*.f32 (/.f32 (*.f32 x x) s) (/.f32 -1/16 s))))) s) |
Compiled 3170 to 1602 computations (49.5% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) |
| ✓ | 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)))) |
| ✓ | 0.1b | (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:
| 97.0ms | (/.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))))) |
| 23.0ms | (*.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)))) |
| 10.0ms | (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) |
| 9.0ms | (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) |
| 1× | batch-egg-rewrite |
| 726× | prod-diff_binary32 |
| 135× | add-sqr-sqrt_binary32 |
| 129× | egg-rr |
| 126× | log1p-expm1-u_binary32 |
| 126× | expm1-log1p-u_binary32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 97 |
| 1 | 268 | 53 |
| 2 | 4113 | 53 |
| 1× | node limit |
4 calls:
| 60.0ms | (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) |
| 60.0ms | (*.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)))) |
| 60.0ms | (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) |
| 60.0ms | (/.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))))) |
| 1× | egg-herbie |
| 386× | fma-neg_binary32 |
| 329× | unswap-sqr_binary32 |
| 306× | distribute-rgt-neg-in_binary32 |
| 281× | times-frac_binary32 |
| 277× | distribute-neg-frac_binary32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 78 | 1948 |
| 1 | 228 | 1892 |
| 2 | 679 | 1842 |
| 3 | 3067 | 1832 |
| 1× | node limit |
5 alts after pruning (4 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 263 | 3 | 266 |
| Fresh | 1 | 1 | 2 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 265 | 5 | 270 |
| Status | Error | Program |
| 12.2b | (*.f32 (exp.f32 (/.f32 x s)) (/.f32 (/.f32 1 s) (pow.f32 (+.f32 (exp.f32 (/.f32 x s)) 1) 2))) | |
| ▶ | 0.2b | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 s (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 1) 2))) |
| 5.3b | (exp.f32 (-.f32 (/.f32 x s) (log.f32 (*.f32 s (pow.f32 (+.f32 (exp.f32 (/.f32 x s)) 1) 2))))) | |
| 11.9b | (/.f32 (/.f32 1 (+.f32 (pow.f32 (E.f32) (/.f32 x s)) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) 2))) s) | |
| ✓ | 0.2b | (/.f32 1 (*.f32 s (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 2 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s))))))) |
Compiled 7672 to 2874 computations (62.5% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (*.f32 s (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 1) 2)) |
| 0.1b | (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) | |
| ✓ | 0.1b | (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 1) 2) |
| ✓ | 0.1b | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 s (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 1) 2))) |
3 calls:
| 93.0ms | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 s (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 1) 2))) |
| 23.0ms | (*.f32 s (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 1) 2)) |
| 18.0ms | (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 1) 2) |
| 1× | batch-egg-rewrite |
| 270× | prod-diff_binary32 |
| 199× | expm1-udef_binary32 |
| 199× | log1p-udef_binary32 |
| 135× | add-sqr-sqrt_binary32 |
| 130× | log1p-expm1-u_binary32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 66 |
| 1 | 280 | 50 |
| 2 | 3835 | 50 |
| 1× | node limit |
3 calls:
| 51.0ms | (*.f32 s (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 1) 2)) |
| 51.0ms | (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 1) 2) |
| 51.0ms | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 s (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 1) 2))) |
| 1× | egg-herbie |
| 416× | fma-neg_binary32 |
| 332× | unswap-sqr_binary32 |
| 283× | distribute-rgt-neg-in_binary32 |
| 280× | distribute-lft-neg-in_binary32 |
| 277× | times-frac_binary32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 73 | 1700 |
| 1 | 218 | 1660 |
| 2 | 641 | 1608 |
| 3 | 2905 | 1598 |
| 1× | node limit |
5 alts after pruning (3 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 174 | 1 | 175 |
| Fresh | 1 | 2 | 3 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 175 | 5 | 180 |
| Status | Error | Program |
| 12.2b | (*.f32 (exp.f32 (/.f32 x s)) (/.f32 (/.f32 1 s) (pow.f32 (+.f32 (exp.f32 (/.f32 x s)) 1) 2))) | |
| 5.3b | (exp.f32 (-.f32 (/.f32 x s) (+.f32 (*.f32 2 (log1p.f32 (exp.f32 (/.f32 x s)))) (log.f32 s)))) | |
| ✓ | 0.2b | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 s (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 1) 2))) |
| 5.3b | (exp.f32 (-.f32 (/.f32 x s) (log.f32 (*.f32 s (pow.f32 (+.f32 (exp.f32 (/.f32 x s)) 1) 2))))) | |
| ✓ | 0.2b | (/.f32 1 (*.f32 s (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 2 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s))))))) |
Compiled 4104 to 1778 computations (56.7% saved)
Total 0.1b remaining (49.1%)
Threshold costs 0.1b (49.1%)
Compiled 12761 to 8463 computations (33.7% saved)
| 1× | egg-herbie |
| 3× | +-commutative_binary32 |
| 3× | *-commutative_binary32 |
| 2× | sub-neg_binary32 |
| 2× | neg-sub0_binary32 |
| 2× | neg-mul-1_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 31 |
| 1 | 22 | 31 |
| 2 | 26 | 31 |
| 3 | 29 | 31 |
| 4 | 30 | 31 |
| 1× | saturated |
Compiled 138 to 85 computations (38.4% saved)
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