Time bar (total: 6.4s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 1.5% | 98.5% | 0 |
| 0% | 1.5% | 98.5% | 1 |
| 0% | 1.5% | 98.5% | 2 |
| 0.8% | 0.8% | 98.5% | 3 |
| 0.8% | 0.8% | 98.5% | 4 |
| 1.2% | 0.4% | 98.5% | 5 |
| 1.2% | 0.4% | 98.5% | 6 |
| 1.4% | 0.2% | 98.5% | 7 |
| 1.4% | 0.2% | 98.5% | 8 |
| 1.4% | 0.1% | 98.5% | 9 |
| 1.4% | 0.1% | 98.5% | 10 |
| 1.5% | 0% | 98.5% | 11 |
| 1.5% | 0% | 98.5% | 12 |
| 1.5% | 0% | 98.5% | 13 |
| 1.5% | 0% | 98.5% | 14 |
Compiled 27 to 21 computations (22.2% saved)
| 1.8s | 8256× | body | 128 | valid |
Compiled 66 to 52 computations (21.2% saved)
| 1× | egg-herbie |
| 175× | fma-neg_binary32 |
| 156× | fma-def_binary32 |
| 46× | cancel-sign-sub-inv_binary32 |
| 46× | sub-neg_binary32 |
| 29× | distribute-rgt-in_binary32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 14 |
| 1 | 24 | 11 |
| 2 | 38 | 11 |
| 3 | 64 | 11 |
| 4 | 83 | 11 |
| 5 | 110 | 11 |
| 6 | 144 | 11 |
| 7 | 194 | 11 |
| 8 | 244 | 11 |
| 9 | 291 | 11 |
| 10 | 319 | 11 |
| 11 | 362 | 11 |
| 12 | 401 | 11 |
| 13 | 478 | 11 |
| 14 | 491 | 11 |
| 15 | 443 | 11 |
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 s (neg.f32 (log1p.f32 (*.f32 u -4)))) |
| 11.7b | (*.f32 s (log.f32 (/.f32 1 (-.f32 1 (*.f32 4 u))))) |
Compiled 61 to 49 computations (19.7% saved)
Found 2 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (log1p.f32 (*.f32 u -4)) |
| ✓ | 0.2b | (*.f32 s (neg.f32 (log1p.f32 (*.f32 u -4)))) |
2 calls:
| 334.0ms | (*.f32 s (neg.f32 (log1p.f32 (*.f32 u -4)))) |
| 3.0ms | (log1p.f32 (*.f32 u -4)) |
| 1× | rewrite-expression-head |
| 10× | associate-*r*_binary32 |
| 8× | add-sqr-sqrt_binary32 |
| 6× | *-un-lft-identity_binary32 |
| 6× | add-cube-cbrt_binary32 |
| 4× | add-cbrt-cube_binary32 |
2 calls:
| 5.0ms | (*.f32 s (neg.f32 (log1p.f32 (*.f32 u -4)))) |
| 0.0ms | (log1p.f32 (*.f32 u -4)) |
| 1× | egg-herbie |
| 715× | fma-neg_binary32 |
| 622× | fma-def_binary32 |
| 409× | unsub-neg_binary32 |
| 304× | times-frac_binary32 |
| 234× | associate-+l+_binary32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 157 | 1231 |
| 1 | 441 | 1117 |
| 2 | 1415 | 1071 |
| 3 | 3645 | 1067 |
| 4 | 5107 | 1067 |
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 93 | 7 | 100 |
| Fresh | 1 | 0 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 95 | 7 | 102 |
| Status | Error | Program |
| ▶ | 0.2b | (log1p.f32 (expm1.f32 (*.f32 s (neg.f32 (log1p.f32 (*.f32 u -4)))))) |
| 0.5b | (*.f32 (*.f32 s (sqrt.f32 (neg.f32 (log1p.f32 (*.f32 u -4))))) (sqrt.f32 (neg.f32 (log1p.f32 (*.f32 u -4))))) | |
| 0.5b | (*.f32 (sqrt.f32 s) (*.f32 (sqrt.f32 s) (neg.f32 (log1p.f32 (*.f32 u -4))))) | |
| 0.8b | (*.f32 (*.f32 (cbrt.f32 s) (cbrt.f32 s)) (*.f32 (cbrt.f32 s) (neg.f32 (log1p.f32 (*.f32 u -4))))) | |
| 2.8b | (+.f32 (*.f32 8 (*.f32 s (pow.f32 u 2))) (+.f32 (*.f32 64/3 (*.f32 s (pow.f32 u 3))) (+.f32 (*.f32 64 (*.f32 s (pow.f32 u 4))) (*.f32 4 (*.f32 s u))))) | |
| 0.5b | (*.f32 (sqrt.f32 (*.f32 s (neg.f32 (log1p.f32 (*.f32 u -4))))) (sqrt.f32 (*.f32 s (neg.f32 (log1p.f32 (*.f32 u -4)))))) | |
| 0.7b | (*.f32 s (neg.f32 (*.f32 (*.f32 (cbrt.f32 (log1p.f32 (*.f32 u -4))) (cbrt.f32 (log1p.f32 (*.f32 u -4)))) (cbrt.f32 (log1p.f32 (*.f32 u -4)))))) |
Compiled 1729 to 1262 computations (27% saved)
Found 4 expressions with local error:
| New | Error | Program |
| 0.0b | (log1p.f32 (*.f32 u -4)) | |
| ✓ | 0.0b | (log1p.f32 (expm1.f32 (*.f32 s (neg.f32 (log1p.f32 (*.f32 u -4)))))) |
| ✓ | 0.1b | (expm1.f32 (*.f32 s (neg.f32 (log1p.f32 (*.f32 u -4))))) |
| 0.2b | (*.f32 s (neg.f32 (log1p.f32 (*.f32 u -4)))) |
2 calls:
| 368.0ms | (log1p.f32 (expm1.f32 (*.f32 s (neg.f32 (log1p.f32 (*.f32 u -4)))))) |
| 22.0ms | (expm1.f32 (*.f32 s (neg.f32 (log1p.f32 (*.f32 u -4))))) |
| 1× | rewrite-expression-head |
| 3× | log1p-expm1-u_binary32 |
| 2× | *-un-lft-identity_binary32 |
| 2× | add-sqr-sqrt_binary32 |
| 2× | add-cube-cbrt_binary32 |
| 2× | add-cbrt-cube_binary32 |
2 calls:
| 0.0ms | (expm1.f32 (*.f32 s (neg.f32 (log1p.f32 (*.f32 u -4))))) |
| 0.0ms | (log1p.f32 (expm1.f32 (*.f32 s (neg.f32 (log1p.f32 (*.f32 u -4)))))) |
| 1× | egg-herbie |
| 619× | times-frac_binary32 |
| 430× | associate-/l*_binary32 |
| 298× | associate-/r*_binary32 |
| 250× | fma-def_binary32 |
| 156× | associate-+r+_binary32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 227 | 2111 |
| 1 | 654 | 1938 |
| 2 | 2281 | 1761 |
| 3 | 5047 | 1761 |
7 alts after pruning (6 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 191 | 1 | 192 |
| Fresh | 1 | 5 | 6 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 192 | 7 | 199 |
| Status | Error | Program |
| ✓ | 0.2b | (log1p.f32 (expm1.f32 (*.f32 s (neg.f32 (log1p.f32 (*.f32 u -4)))))) |
| 2.7b | (fma.f32 8 (*.f32 s (*.f32 u u)) (fma.f32 64/3 (*.f32 s (pow.f32 u 3)) (*.f32 s (+.f32 (*.f32 4 u) (*.f32 64 (pow.f32 u 4)))))) | |
| ▶ | 0.5b | (*.f32 (*.f32 s (sqrt.f32 (neg.f32 (log1p.f32 (*.f32 u -4))))) (sqrt.f32 (neg.f32 (log1p.f32 (*.f32 u -4))))) |
| 0.5b | (*.f32 (sqrt.f32 s) (*.f32 (sqrt.f32 s) (neg.f32 (log1p.f32 (*.f32 u -4))))) | |
| 0.8b | (*.f32 (*.f32 (cbrt.f32 s) (cbrt.f32 s)) (*.f32 (cbrt.f32 s) (neg.f32 (log1p.f32 (*.f32 u -4))))) | |
| 0.5b | (*.f32 (sqrt.f32 (*.f32 s (neg.f32 (log1p.f32 (*.f32 u -4))))) (sqrt.f32 (*.f32 s (neg.f32 (log1p.f32 (*.f32 u -4)))))) | |
| 0.7b | (*.f32 s (neg.f32 (*.f32 (*.f32 (cbrt.f32 (log1p.f32 (*.f32 u -4))) (cbrt.f32 (log1p.f32 (*.f32 u -4)))) (cbrt.f32 (log1p.f32 (*.f32 u -4)))))) |
Compiled 4337 to 3216 computations (25.8% saved)
Found 4 expressions with local error:
| New | Error | Program |
| 0.0b | (log1p.f32 (*.f32 u -4)) | |
| ✓ | 0.1b | (sqrt.f32 (neg.f32 (log1p.f32 (*.f32 u -4)))) |
| ✓ | 0.3b | (*.f32 s (sqrt.f32 (neg.f32 (log1p.f32 (*.f32 u -4))))) |
| ✓ | 0.3b | (*.f32 (*.f32 s (sqrt.f32 (neg.f32 (log1p.f32 (*.f32 u -4))))) (sqrt.f32 (neg.f32 (log1p.f32 (*.f32 u -4))))) |
3 calls:
| 370.0ms | (*.f32 (*.f32 s (sqrt.f32 (neg.f32 (log1p.f32 (*.f32 u -4))))) (sqrt.f32 (neg.f32 (log1p.f32 (*.f32 u -4))))) |
| 353.0ms | (*.f32 s (sqrt.f32 (neg.f32 (log1p.f32 (*.f32 u -4))))) |
| 11.0ms | (sqrt.f32 (neg.f32 (log1p.f32 (*.f32 u -4)))) |
| 1× | rewrite-expression-head |
| 31× | sqrt-prod_binary32 |
| 26× | associate-*r*_binary32 |
| 20× | add-sqr-sqrt_binary32 |
| 15× | *-un-lft-identity_binary32 |
| 15× | add-cube-cbrt_binary32 |
3 calls:
| 8.0ms | (*.f32 (*.f32 s (sqrt.f32 (neg.f32 (log1p.f32 (*.f32 u -4))))) (sqrt.f32 (neg.f32 (log1p.f32 (*.f32 u -4))))) |
| 5.0ms | (*.f32 s (sqrt.f32 (neg.f32 (log1p.f32 (*.f32 u -4))))) |
| 1.0ms | (sqrt.f32 (neg.f32 (log1p.f32 (*.f32 u -4)))) |
| 1× | egg-herbie |
| 435× | times-frac_binary32 |
| 418× | fma-neg_binary32 |
| 366× | cancel-sign-sub-inv_binary32 |
| 291× | associate-/r*_binary32 |
| 291× | associate-/l*_binary32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 258 | 3444 |
| 1 | 737 | 2979 |
| 2 | 2359 | 2881 |
| 3 | 4701 | 2859 |
| 4 | 4946 | 2859 |
8 alts after pruning (6 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 254 | 2 | 256 |
| Fresh | 1 | 4 | 5 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 255 | 8 | 263 |
| Status | Error | Program |
| 0.5b | (*.f32 (*.f32 (*.f32 s (sqrt.f32 (neg.f32 (log1p.f32 (*.f32 u -4))))) (fabs.f32 (cbrt.f32 (log1p.f32 (*.f32 u -4))))) (sqrt.f32 (neg.f32 (cbrt.f32 (log1p.f32 (*.f32 u -4)))))) | |
| ✓ | 0.2b | (log1p.f32 (expm1.f32 (*.f32 s (neg.f32 (log1p.f32 (*.f32 u -4)))))) |
| 0.6b | (*.f32 (*.f32 s (pow.f32 (sqrt.f32 (neg.f32 (log1p.f32 (*.f32 u -4)))) 3/2)) (sqrt.f32 (sqrt.f32 (neg.f32 (log1p.f32 (*.f32 u -4)))))) | |
| 2.7b | (fma.f32 8 (*.f32 s (*.f32 u u)) (fma.f32 64/3 (*.f32 s (pow.f32 u 3)) (*.f32 s (+.f32 (*.f32 4 u) (*.f32 64 (pow.f32 u 4)))))) | |
| ✓ | 0.5b | (*.f32 (*.f32 s (sqrt.f32 (neg.f32 (log1p.f32 (*.f32 u -4))))) (sqrt.f32 (neg.f32 (log1p.f32 (*.f32 u -4))))) |
| 0.5b | (*.f32 (sqrt.f32 s) (*.f32 (sqrt.f32 s) (neg.f32 (log1p.f32 (*.f32 u -4))))) | |
| 0.8b | (*.f32 (*.f32 (cbrt.f32 s) (cbrt.f32 s)) (*.f32 (cbrt.f32 s) (neg.f32 (log1p.f32 (*.f32 u -4))))) | |
| ▶ | 0.5b | (*.f32 (sqrt.f32 (*.f32 s (neg.f32 (log1p.f32 (*.f32 u -4))))) (sqrt.f32 (*.f32 s (neg.f32 (log1p.f32 (*.f32 u -4)))))) |
Compiled 7599 to 6096 computations (19.8% saved)
Found 4 expressions with local error:
| New | Error | Program |
| 0.0b | (log1p.f32 (*.f32 u -4)) | |
| 0.2b | (*.f32 s (neg.f32 (log1p.f32 (*.f32 u -4)))) | |
| ✓ | 0.5b | (*.f32 (sqrt.f32 (*.f32 s (neg.f32 (log1p.f32 (*.f32 u -4))))) (sqrt.f32 (*.f32 s (neg.f32 (log1p.f32 (*.f32 u -4)))))) |
| ✓ | 1.0b | (sqrt.f32 (*.f32 s (neg.f32 (log1p.f32 (*.f32 u -4))))) |
2 calls:
| 144.0ms | (*.f32 (sqrt.f32 (*.f32 s (neg.f32 (log1p.f32 (*.f32 u -4))))) (sqrt.f32 (*.f32 s (neg.f32 (log1p.f32 (*.f32 u -4)))))) |
| 39.0ms | (sqrt.f32 (*.f32 s (neg.f32 (log1p.f32 (*.f32 u -4))))) |
| 1× | rewrite-expression-head |
| 54× | pow1_binary32 |
| 30× | sqrt-pow1_binary32 |
| 21× | pow-prod-down_binary32 |
| 11× | pow1/2_binary32 |
| 10× | pow-prod-up_binary32 |
2 calls:
| 7.0ms | (*.f32 (sqrt.f32 (*.f32 s (neg.f32 (log1p.f32 (*.f32 u -4))))) (sqrt.f32 (*.f32 s (neg.f32 (log1p.f32 (*.f32 u -4)))))) |
| 2.0ms | (sqrt.f32 (*.f32 s (neg.f32 (log1p.f32 (*.f32 u -4))))) |
| 1× | egg-herbie |
| 661× | associate-/l*_binary32 |
| 645× | associate-/r*_binary32 |
| 460× | fma-def_binary32 |
| 185× | unswap-sqr_binary32 |
| 117× | associate-*r*_binary32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 164 | 2084 |
| 1 | 416 | 1805 |
| 2 | 1598 | 1589 |
| 3 | 5341 | 1589 |
8 alts after pruning (5 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 348 | 0 | 348 |
| Fresh | 0 | 5 | 5 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 348 | 8 | 356 |
| Status | Error | Program |
| 0.5b | (*.f32 (*.f32 (*.f32 s (sqrt.f32 (neg.f32 (log1p.f32 (*.f32 u -4))))) (fabs.f32 (cbrt.f32 (log1p.f32 (*.f32 u -4))))) (sqrt.f32 (neg.f32 (cbrt.f32 (log1p.f32 (*.f32 u -4)))))) | |
| ✓ | 0.2b | (log1p.f32 (expm1.f32 (*.f32 s (neg.f32 (log1p.f32 (*.f32 u -4)))))) |
| 0.6b | (*.f32 (*.f32 s (pow.f32 (sqrt.f32 (neg.f32 (log1p.f32 (*.f32 u -4)))) 3/2)) (sqrt.f32 (sqrt.f32 (neg.f32 (log1p.f32 (*.f32 u -4)))))) | |
| 2.7b | (fma.f32 8 (*.f32 s (*.f32 u u)) (fma.f32 64/3 (*.f32 s (pow.f32 u 3)) (*.f32 s (+.f32 (*.f32 4 u) (*.f32 64 (pow.f32 u 4)))))) | |
| ✓ | 0.5b | (*.f32 (*.f32 s (sqrt.f32 (neg.f32 (log1p.f32 (*.f32 u -4))))) (sqrt.f32 (neg.f32 (log1p.f32 (*.f32 u -4))))) |
| 0.5b | (*.f32 (sqrt.f32 s) (*.f32 (sqrt.f32 s) (neg.f32 (log1p.f32 (*.f32 u -4))))) | |
| 0.8b | (*.f32 (*.f32 (cbrt.f32 s) (cbrt.f32 s)) (*.f32 (cbrt.f32 s) (neg.f32 (log1p.f32 (*.f32 u -4))))) | |
| ✓ | 0.5b | (*.f32 (sqrt.f32 (*.f32 s (neg.f32 (log1p.f32 (*.f32 u -4))))) (sqrt.f32 (*.f32 s (neg.f32 (log1p.f32 (*.f32 u -4)))))) |
Compiled 9662 to 7300 computations (24.4% saved)
Total 0.2b remaining (91.9%)
Threshold costs 0.2b (91.9%)
Compiled 12371 to 9754 computations (21.2% saved)
| 1× | egg-herbie |
| 6× | *-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 | 10 | 15 |
| 1 | 18 | 15 |
| 2 | 25 | 15 |
| 3 | 31 | 15 |
| 4 | 34 | 15 |
| 5 | 35 | 15 |
| 6 | 35 | 15 |
Compiled 170 to 132 computations (22.4% saved)
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