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)
| 1.4s | 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 |
| ▶ | 0.1b | (/.f32 (/.f32 1 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) 2))) 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))))) |
Compiled 142 to 78 computations (45.1% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) 2)) |
| ✓ | 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)) |
4 calls:
| 55.0ms | (/.f32 1 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) 2))) |
| 17.0ms | (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) 2)) |
| 14.0ms | (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) |
| 8.0ms | (exp.f32 (/.f32 (fabs.f32 x) s)) |
| 1× | batch-egg-rewrite |
| 654× | prod-diff_binary32 |
| 152× | add-sqr-sqrt_binary32 |
| 144× | log1p-expm1-u_binary32 |
| 144× | expm1-log1p-u_binary32 |
| 143× | add-cbrt-cube_binary32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 65 |
| 1 | 305 | 49 |
| 2 | 4419 | 49 |
| 1× | node limit |
4 calls:
| 56.0ms | (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) 2)) |
| 56.0ms | (/.f32 1 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) 2))) |
| 56.0ms | (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) |
| 56.0ms | (exp.f32 (/.f32 (fabs.f32 x) s)) |
| 1× | egg-herbie |
| 704× | cancel-sign-sub-inv_binary32 |
| 351× | times-frac_binary32 |
| 311× | unswap-sqr_binary32 |
| 297× | distribute-rgt-neg-in_binary32 |
| 217× | distribute-neg-frac_binary32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 1626 |
| 1 | 174 | 1578 |
| 2 | 505 | 1558 |
| 3 | 2574 | 1522 |
| 1× | node limit |
6 alts after pruning (5 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 115 | 4 | 119 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 115 | 6 | 121 |
| Status | Error | Program |
| 11.0b | (/.f32 (/.f32 1 (+.f32 (expm1.f32 (log1p.f32 (exp.f32 (/.f32 x s)))) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) 2))) s) | |
| 6.5b | (/.f32 (/.f32 1 (+.f32 (*.f32 (/.f32 x s) (/.f32 x s)) 4)) s) | |
| 23.2b | (/.f32 (fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) -1/16 1/4) 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) |
| 8.6b | (/.f32 (/.f32 1 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 (-.f32 (fma.f32 1/2 (*.f32 (/.f32 x s) (/.f32 x s)) 1) (/.f32 (fabs.f32 x) s)) 2))) 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))))) |
Compiled 3050 to 1452 computations (52.4% 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 (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))))) |
| ✓ | 0.0b | (*.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)) |
4 calls:
| 101.0ms | (/.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))))) |
| 22.0ms | (*.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)))) |
| 13.0ms | (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) |
| 11.0ms | (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:
| 61.0ms | (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) |
| 61.0ms | (/.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))))) |
| 61.0ms | (*.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)))) |
| 61.0ms | (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 | 677 | 1842 |
| 3 | 3058 | 1832 |
| 1× | node limit |
6 alts after pruning (6 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 261 | 5 | 266 |
| Fresh | 3 | 1 | 4 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 0 | 1 |
| Total | 266 | 6 | 272 |
| Status | Error | Program |
| 11.9b | (*.f32 (/.f32 (pow.f32 (cbrt.f32 (exp.f32 (/.f32 x s))) 2) (*.f32 (sqrt.f32 s) (+.f32 (exp.f32 (/.f32 x s)) 1))) (/.f32 (cbrt.f32 (exp.f32 (/.f32 x s))) (*.f32 (sqrt.f32 s) (+.f32 (exp.f32 (/.f32 x s)) 1)))) | |
| 11.0b | (/.f32 (/.f32 1 (+.f32 (expm1.f32 (log1p.f32 (exp.f32 (/.f32 x s)))) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) 2))) s) | |
| 11.8b | (*.f32 (/.f32 (pow.f32 (cbrt.f32 (exp.f32 (/.f32 x s))) 2) (+.f32 s (*.f32 s (exp.f32 (/.f32 x s))))) (/.f32 (cbrt.f32 (exp.f32 (/.f32 x s))) (+.f32 (exp.f32 (/.f32 x s)) 1))) | |
| ▶ | 0.1b | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 s (+.f32 1 (+.f32 (*.f32 2 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s)))) (pow.f32 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s))) 2))))) |
| 13.0b | (/.f32 (pow.f32 (exp.f32 (*.f32 (/.f32 x s) 3)) 1/3) (*.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))))) | |
| 12.9b | (/.f32 (pow.f32 (cbrt.f32 (exp.f32 (/.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))))) |
Compiled 7851 to 2963 computations (62.3% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 s (+.f32 1 (+.f32 (*.f32 2 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s)))) (pow.f32 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s))) 2))))) |
| ✓ | 0.0b | (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s))) |
| 0.0b | (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) | |
| ✓ | 0.1b | (pow.f32 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s))) 2) |
3 calls:
| 144.0ms | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 s (+.f32 1 (+.f32 (*.f32 2 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s)))) (pow.f32 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s))) 2))))) |
| 17.0ms | (pow.f32 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s))) 2) |
| 9.0ms | (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s))) |
| 1× | batch-egg-rewrite |
| 182× | add-sqr-sqrt_binary32 |
| 174× | log1p-expm1-u_binary32 |
| 174× | expm1-log1p-u_binary32 |
| 172× | add-cbrt-cube_binary32 |
| 169× | add-log-exp_binary32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 67 |
| 1 | 421 | 46 |
| 1× | node limit |
3 calls:
| 34.0ms | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 s (+.f32 1 (+.f32 (*.f32 2 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s)))) (pow.f32 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s))) 2))))) |
| 33.0ms | (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s))) |
| 33.0ms | (pow.f32 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s))) 2) |
| 1× | egg-herbie |
| 376× | fma-neg_binary32 |
| 335× | distribute-rgt-neg-in_binary32 |
| 332× | distribute-lft-neg-in_binary32 |
| 285× | distribute-neg-frac_binary32 |
| 283× | times-frac_binary32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 67 | 1242 |
| 1 | 199 | 1194 |
| 2 | 602 | 1118 |
| 3 | 2822 | 1100 |
| 1× | node limit |
5 alts after pruning (4 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 166 | 1 | 167 |
| Fresh | 2 | 3 | 5 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 168 | 5 | 173 |
| Status | Error | Program |
| 11.9b | (*.f32 (/.f32 (pow.f32 (cbrt.f32 (exp.f32 (/.f32 x s))) 2) (*.f32 (sqrt.f32 s) (+.f32 (exp.f32 (/.f32 x s)) 1))) (/.f32 (cbrt.f32 (exp.f32 (/.f32 x s))) (*.f32 (sqrt.f32 s) (+.f32 (exp.f32 (/.f32 x s)) 1)))) | |
| ▶ | 11.0b | (/.f32 (/.f32 1 (+.f32 (expm1.f32 (log1p.f32 (exp.f32 (/.f32 x s)))) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) 2))) s) |
| 11.8b | (*.f32 (sqrt.f32 (exp.f32 (/.f32 x s))) (*.f32 (sqrt.f32 (exp.f32 (/.f32 x s))) (/.f32 1 (+.f32 s (*.f32 (*.f32 (exp.f32 (/.f32 x s)) (+.f32 (exp.f32 (/.f32 x s)) 2)) s))))) | |
| ✓ | 0.1b | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 s (+.f32 1 (+.f32 (*.f32 2 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s)))) (pow.f32 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s))) 2))))) |
| 13.0b | (/.f32 (pow.f32 (exp.f32 (*.f32 (/.f32 x s) 3)) 1/3) (*.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))))) |
Compiled 5515 to 2680 computations (51.4% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (expm1.f32 (log1p.f32 (exp.f32 (/.f32 x s)))) |
| 0.0b | (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) | |
| ✓ | 0.0b | (exp.f32 (/.f32 x s)) |
| ✓ | 1.3b | (log1p.f32 (exp.f32 (/.f32 x s))) |
3 calls:
| 236.0ms | (log1p.f32 (exp.f32 (/.f32 x s))) |
| 6.0ms | (expm1.f32 (log1p.f32 (exp.f32 (/.f32 x s)))) |
| 4.0ms | (exp.f32 (/.f32 x s)) |
| 1× | batch-egg-rewrite |
| 561× | expm1-log1p-u_binary32 |
| 560× | log1p-expm1-u_binary32 |
| 301× | log-prod_binary32 |
| 157× | pow2_binary32 |
| 110× | pow1/3_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 20 |
| 1 | 119 | 20 |
| 2 | 1522 | 20 |
| 1× | node limit |
3 calls:
| 38.0ms | (expm1.f32 (log1p.f32 (exp.f32 (/.f32 x s)))) |
| 38.0ms | (exp.f32 (/.f32 x s)) |
| 38.0ms | (log1p.f32 (exp.f32 (/.f32 x s))) |
| 1× | egg-herbie |
| 796× | associate-/l*_binary32 |
| 551× | associate-/r*_binary32 |
| 538× | fma-def_binary32 |
| 474× | associate-*l/_binary32 |
| 157× | associate-/r/_binary32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 786 |
| 1 | 106 | 768 |
| 2 | 280 | 732 |
| 3 | 1095 | 699 |
| 1× | node limit |
5 alts after pruning (3 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 74 | 0 | 74 |
| Fresh | 0 | 3 | 3 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 74 | 5 | 79 |
| Status | Error | Program |
| 11.9b | (*.f32 (/.f32 (pow.f32 (cbrt.f32 (exp.f32 (/.f32 x s))) 2) (*.f32 (sqrt.f32 s) (+.f32 (exp.f32 (/.f32 x s)) 1))) (/.f32 (cbrt.f32 (exp.f32 (/.f32 x s))) (*.f32 (sqrt.f32 s) (+.f32 (exp.f32 (/.f32 x s)) 1)))) | |
| ✓ | 11.0b | (/.f32 (/.f32 1 (+.f32 (expm1.f32 (log1p.f32 (exp.f32 (/.f32 x s)))) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) 2))) s) |
| 11.8b | (*.f32 (sqrt.f32 (exp.f32 (/.f32 x s))) (*.f32 (sqrt.f32 (exp.f32 (/.f32 x s))) (/.f32 1 (+.f32 s (*.f32 (*.f32 (exp.f32 (/.f32 x s)) (+.f32 (exp.f32 (/.f32 x s)) 2)) s))))) | |
| ✓ | 0.1b | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 s (+.f32 1 (+.f32 (*.f32 2 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s)))) (pow.f32 (exp.f32 (*.f32 -1 (/.f32 (fabs.f32 x) s))) 2))))) |
| 13.0b | (/.f32 (pow.f32 (exp.f32 (*.f32 (/.f32 x s) 3)) 1/3) (*.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))))) |
Compiled 2038 to 1019 computations (50% saved)
Total 0.0b remaining (28.6%)
Threshold costs 0.0b (28.6%)
Compiled 30682 to 19170 computations (37.5% saved)
| 1× | egg-herbie |
| 3× | +-commutative_binary32 |
| 1× | *-commutative_binary32 |
| 1× | sub-neg_binary32 |
| 1× | neg-sub0_binary32 |
| 1× | neg-mul-1_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 29 |
| 1 | 22 | 29 |
| 2 | 24 | 29 |
| 3 | 25 | 29 |
| 1× | saturated |
Compiled 189 to 116 computations (38.6% saved)
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