Time bar (total: 5.2s)
| 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)
| 1.6s | 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)))) |
| 11.9b | (*.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:
| 280.0ms | (*.f32 s (neg.f32 (log1p.f32 (*.f32 u -4)))) |
| 3.0ms | (log1p.f32 (*.f32 u -4)) |
| 2× | batch-egg-rewrite |
| 591× | expm1-log1p-u_binary32 |
| 590× | log1p-expm1-u_binary32 |
| 334× | log-prod_binary32 |
| 311× | fma-def_binary32 |
| 143× | prod-diff_binary32 |
2 calls:
| 71.0ms | (log1p.f32 (*.f32 u -4)) |
| 71.0ms | (*.f32 s (neg.f32 (log1p.f32 (*.f32 u -4)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 17 |
| 1 | 162 | 15 |
| 2 | 1583 | 15 |
| 3 | 4853 | 15 |
| 4 | 5062 | 15 |
| 0 | 0 | 0 |
| 1 | 0 | 0 |
| 1× | egg-herbie |
| 836× | fma-neg_binary32 |
| 530× | fma-def_binary32 |
| 369× | sub-neg_binary32 |
| 321× | unsub-neg_binary32 |
| 219× | associate-+l+_binary32 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 106 | 726 |
| 1 | 335 | 675 |
| 2 | 998 | 632 |
| 3 | 2998 | 621 |
| 4 | 4495 | 618 |
| 5 | 4993 | 618 |
| 6 | 4943 | 618 |
9 alts after pruning (8 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 97 | 8 | 105 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 98 | 9 | 107 |
| Status | Error | Program |
| ▶ | 0.7b | (*.f32 s (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 u -4))) 3))) |
| ✓ | 0.2b | (*.f32 s (neg.f32 (log1p.f32 (*.f32 u -4)))) |
| 1.8b | (*.f32 s (neg.f32 (fma.f32 u (+.f32 -4 (*.f32 u -8)) (*.f32 (pow.f32 u 3) (-.f32 -64/3 (*.f32 64 u)))))) | |
| 1.9b | (+.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))))) | |
| 1.9b | (+.f32 (*.f32 (*.f32 s u) (+.f32 4 (*.f32 u 8))) (*.f32 s (*.f32 (pow.f32 u 3) (-.f32 64/3 (*.f32 -64 u))))) | |
| 2.4b | (*.f32 s (neg.f32 (neg.f32 (+.f32 (*.f32 64/3 (pow.f32 u 3)) (+.f32 (*.f32 8 (pow.f32 u 2)) (*.f32 4 u)))))) | |
| 11.9b | (*.f32 s (neg.f32 (+.f32 (log.f32 (sqrt.f32 (fma.f32 u -4 1))) (log.f32 (sqrt.f32 (fma.f32 u -4 1)))))) | |
| 7.9b | (*.f32 s (*.f32 4 u)) | |
| 11.2b | (*.f32 s (neg.f32 (log.f32 (fma.f32 u -4 1)))) |
Compiled 1792 to 1353 computations (24.5% saved)
Found 4 expressions with local error:
| New | Error | Program |
| 0.0b | (log1p.f32 (*.f32 u -4)) | |
| ✓ | 0.1b | (cbrt.f32 (log1p.f32 (*.f32 u -4))) |
| ✓ | 0.2b | (*.f32 s (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 u -4))) 3))) |
| ✓ | 0.7b | (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 u -4))) 3) |
3 calls:
| 257.0ms | (*.f32 s (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 u -4))) 3))) |
| 32.0ms | (cbrt.f32 (log1p.f32 (*.f32 u -4))) |
| 28.0ms | (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 u -4))) 3) |
| 2× | batch-egg-rewrite |
| 759× | expm1-log1p-u_binary32 |
| 758× | log1p-expm1-u_binary32 |
| 155× | log1p-udef_binary32 |
| 143× | prod-diff_binary32 |
| 99× | add-sqr-sqrt_binary32 |
3 calls:
| 45.0ms | (cbrt.f32 (log1p.f32 (*.f32 u -4))) |
| 45.0ms | (*.f32 s (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 u -4))) 3))) |
| 45.0ms | (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 u -4))) 3) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 25 |
| 1 | 210 | 23 |
| 2 | 2026 | 23 |
| 3 | 4947 | 23 |
| 0 | 0 | 0 |
| 1 | 0 | 0 |
| 1× | egg-herbie |
| 372× | fma-def_binary32 |
| 275× | associate-+r+_binary32 |
| 227× | +-commutative_binary32 |
| 224× | sub-neg_binary32 |
| 222× | associate-/r*_binary32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 305 | 2700 |
| 1 | 1029 | 2419 |
| 2 | 3820 | 2407 |
| 3 | 4914 | 2305 |
| 4 | 4985 | 2305 |
| 5 | 4937 | 2305 |
10 alts after pruning (8 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 205 | 2 | 207 |
| Fresh | 1 | 6 | 7 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 206 | 10 | 216 |
| Status | Error | Program |
| ✓ | 0.7b | (*.f32 s (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 u -4))) 3))) |
| ✓ | 0.2b | (*.f32 s (neg.f32 (log1p.f32 (*.f32 u -4)))) |
| 11.2b | (*.f32 s (neg.f32 (log.f32 (fma.f32 u -4 1)))) | |
| ▶ | 1.1b | (*.f32 s (neg.f32 (*.f32 (pow.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 (*.f32 u -4)))) 2) 3) (cbrt.f32 (log1p.f32 (*.f32 u -4)))))) |
| 1.9b | (+.f32 (*.f32 (*.f32 s u) (+.f32 4 (*.f32 u 8))) (*.f32 s (*.f32 (pow.f32 u 3) (-.f32 64/3 (*.f32 -64 u))))) | |
| 1.9b | (fma.f32 8 (*.f32 u (*.f32 u s)) (fma.f32 64/3 (*.f32 (pow.f32 u 3) s) (fma.f32 4 (*.f32 u s) (*.f32 64 (*.f32 s (pow.f32 u 4)))))) | |
| 1.8b | (*.f32 s (neg.f32 (fma.f32 u (+.f32 -4 (*.f32 u -8)) (*.f32 (pow.f32 u 3) (-.f32 -64/3 (*.f32 64 u)))))) | |
| 2.4b | (*.f32 s (neg.f32 (neg.f32 (+.f32 (*.f32 64/3 (pow.f32 u 3)) (+.f32 (*.f32 8 (pow.f32 u 2)) (*.f32 4 u)))))) | |
| 11.9b | (*.f32 s (neg.f32 (+.f32 (log.f32 (sqrt.f32 (fma.f32 u -4 1))) (log.f32 (sqrt.f32 (fma.f32 u -4 1)))))) | |
| 7.9b | (*.f32 s (*.f32 4 u)) |
Compiled 5754 to 4588 computations (20.3% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.2b | (*.f32 s (neg.f32 (*.f32 (pow.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 (*.f32 u -4)))) 2) 3) (cbrt.f32 (log1p.f32 (*.f32 u -4)))))) |
| ✓ | 0.3b | (*.f32 (pow.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 (*.f32 u -4)))) 2) 3) (cbrt.f32 (log1p.f32 (*.f32 u -4)))) |
| ✓ | 0.5b | (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 (*.f32 u -4)))) 2) |
| ✓ | 0.7b | (pow.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 (*.f32 u -4)))) 2) 3) |
4 calls:
| 244.0ms | (*.f32 s (neg.f32 (*.f32 (pow.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 (*.f32 u -4)))) 2) 3) (cbrt.f32 (log1p.f32 (*.f32 u -4)))))) |
| 32.0ms | (pow.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 (*.f32 u -4)))) 2) 3) |
| 20.0ms | (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 (*.f32 u -4)))) 2) |
| 3.0ms | (*.f32 (pow.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 (*.f32 u -4)))) 2) 3) (cbrt.f32 (log1p.f32 (*.f32 u -4)))) |
| 2× | batch-egg-rewrite |
| 527× | log-prod_binary32 |
| 282× | pow2_binary32 |
| 200× | expm1-udef_binary32 |
| 200× | log1p-udef_binary32 |
| 196× | pow1/3_binary32 |
4 calls:
| 65.0ms | (*.f32 s (neg.f32 (*.f32 (pow.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 (*.f32 u -4)))) 2) 3) (cbrt.f32 (log1p.f32 (*.f32 u -4)))))) |
| 65.0ms | (*.f32 (pow.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 (*.f32 u -4)))) 2) 3) (cbrt.f32 (log1p.f32 (*.f32 u -4)))) |
| 65.0ms | (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 (*.f32 u -4)))) 2) |
| 65.0ms | (pow.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 (*.f32 u -4)))) 2) 3) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 77 |
| 1 | 309 | 39 |
| 2 | 2613 | 39 |
| 3 | 4876 | 39 |
| 0 | 0 | 0 |
| 1 | 0 | 0 |
| 1× | egg-herbie |
| 566× | times-frac_binary32 |
| 338× | cancel-sign-sub-inv_binary32 |
| 323× | fma-def_binary32 |
| 263× | distribute-neg-in_binary32 |
| 210× | sub-neg_binary32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 281 | 3168 |
| 1 | 912 | 2902 |
| 2 | 3025 | 2896 |
| 3 | 5023 | 2896 |
11 alts after pruning (8 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 199 | 2 | 201 |
| Fresh | 1 | 6 | 7 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 200 | 11 | 211 |
| Status | Error | Program |
| ✓ | 0.7b | (*.f32 s (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 u -4))) 3))) |
| ✓ | 0.2b | (*.f32 s (neg.f32 (log1p.f32 (*.f32 u -4)))) |
| 1.9b | (+.f32 (*.f32 (*.f32 s u) (+.f32 4 (*.f32 u 8))) (*.f32 s (*.f32 (pow.f32 u 3) (-.f32 64/3 (*.f32 -64 u))))) | |
| 3.5b | (*.f32 s (neg.f32 (*.f32 (pow.f32 (+.f32 (log.f32 (sqrt.f32 (exp.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 (*.f32 u -4)))) 2)))) (log.f32 (sqrt.f32 (exp.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 (*.f32 u -4)))) 2))))) 3) (cbrt.f32 (log1p.f32 (*.f32 u -4)))))) | |
| 11.2b | (*.f32 s (neg.f32 (log.f32 (fma.f32 u -4 1)))) | |
| ✓ | 1.1b | (*.f32 s (neg.f32 (*.f32 (pow.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 (*.f32 u -4)))) 2) 3) (cbrt.f32 (log1p.f32 (*.f32 u -4)))))) |
| 1.9b | (fma.f32 8 (*.f32 u (*.f32 u s)) (fma.f32 64/3 (*.f32 (pow.f32 u 3) s) (fma.f32 4 (*.f32 u s) (*.f32 64 (*.f32 s (pow.f32 u 4)))))) | |
| ▶ | 1.8b | (*.f32 s (neg.f32 (fma.f32 u (+.f32 -4 (*.f32 u -8)) (*.f32 (pow.f32 u 3) (-.f32 -64/3 (*.f32 64 u)))))) |
| 2.4b | (*.f32 s (neg.f32 (fma.f32 (pow.f32 u 3) -64/3 (fma.f32 (*.f32 u u) -8 (*.f32 u -4))))) | |
| 11.9b | (*.f32 s (neg.f32 (+.f32 (log.f32 (sqrt.f32 (fma.f32 u -4 1))) (log.f32 (sqrt.f32 (fma.f32 u -4 1)))))) | |
| 7.9b | (*.f32 s (*.f32 4 u)) |
Compiled 6332 to 5180 computations (18.2% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.2b | (*.f32 s (neg.f32 (fma.f32 u (+.f32 -4 (*.f32 u -8)) (*.f32 (pow.f32 u 3) (-.f32 -64/3 (*.f32 64 u)))))) |
| ✓ | 0.3b | (-.f32 -64/3 (*.f32 64 u)) |
| ✓ | 0.3b | (fma.f32 u (+.f32 -4 (*.f32 u -8)) (*.f32 (pow.f32 u 3) (-.f32 -64/3 (*.f32 64 u)))) |
| ✓ | 0.4b | (*.f32 (pow.f32 u 3) (-.f32 -64/3 (*.f32 64 u))) |
4 calls:
| 41.0ms | (*.f32 s (neg.f32 (fma.f32 u (+.f32 -4 (*.f32 u -8)) (*.f32 (pow.f32 u 3) (-.f32 -64/3 (*.f32 64 u)))))) |
| 4.0ms | (*.f32 (pow.f32 u 3) (-.f32 -64/3 (*.f32 64 u))) |
| 3.0ms | (-.f32 -64/3 (*.f32 64 u)) |
| 3.0ms | (fma.f32 u (+.f32 -4 (*.f32 u -8)) (*.f32 (pow.f32 u 3) (-.f32 -64/3 (*.f32 64 u)))) |
| 2× | batch-egg-rewrite |
| 437× | prod-diff_binary32 |
| 179× | add-sqr-sqrt_binary32 |
| 174× | log1p-expm1-u_binary32 |
| 174× | expm1-log1p-u_binary32 |
| 171× | add-cbrt-cube_binary32 |
4 calls:
| 74.0ms | (*.f32 s (neg.f32 (fma.f32 u (+.f32 -4 (*.f32 u -8)) (*.f32 (pow.f32 u 3) (-.f32 -64/3 (*.f32 64 u)))))) |
| 74.0ms | (-.f32 -64/3 (*.f32 64 u)) |
| 74.0ms | (fma.f32 u (+.f32 -4 (*.f32 u -8)) (*.f32 (pow.f32 u 3) (-.f32 -64/3 (*.f32 64 u)))) |
| 74.0ms | (*.f32 (pow.f32 u 3) (-.f32 -64/3 (*.f32 64 u))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 71 |
| 1 | 377 | 65 |
| 2 | 4095 | 65 |
| 3 | 4724 | 65 |
| 0 | 0 | 0 |
| 1 | 0 | 0 |
| 1× | egg-herbie |
| 882× | fma-neg_binary32 |
| 561× | associate-*r*_binary32 |
| 544× | cancel-sign-sub-inv_binary32 |
| 512× | distribute-rgt-neg-in_binary32 |
| 419× | distribute-neg-in_binary32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 1056 |
| 1 | 165 | 1038 |
| 2 | 451 | 937 |
| 3 | 1379 | 854 |
| 4 | 3724 | 854 |
| 5 | 4285 | 854 |
| 6 | 4960 | 854 |
| 7 | 4925 | 854 |
10 alts after pruning (7 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 149 | 1 | 150 |
| Fresh | 1 | 6 | 7 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 3 | 3 |
| Total | 151 | 10 | 161 |
| Status | Error | Program |
| ✓ | 0.7b | (*.f32 s (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 u -4))) 3))) |
| ✓ | 0.2b | (*.f32 s (neg.f32 (log1p.f32 (*.f32 u -4)))) |
| 1.8b | (*.f32 (+.f32 (*.f32 (pow.f32 u 3) (fma.f32 u 64 64/3)) (*.f32 u (+.f32 (*.f32 u 8) 4))) s) | |
| 3.5b | (*.f32 s (neg.f32 (*.f32 (pow.f32 (+.f32 (log.f32 (sqrt.f32 (exp.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 (*.f32 u -4)))) 2)))) (log.f32 (sqrt.f32 (exp.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 (*.f32 u -4)))) 2))))) 3) (cbrt.f32 (log1p.f32 (*.f32 u -4)))))) | |
| 11.2b | (*.f32 s (neg.f32 (log.f32 (fma.f32 u -4 1)))) | |
| ✓ | 1.1b | (*.f32 s (neg.f32 (*.f32 (pow.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 (*.f32 u -4)))) 2) 3) (cbrt.f32 (log1p.f32 (*.f32 u -4)))))) |
| 1.9b | (fma.f32 8 (*.f32 u (*.f32 u s)) (fma.f32 64/3 (*.f32 (pow.f32 u 3) s) (fma.f32 4 (*.f32 u s) (*.f32 64 (*.f32 s (pow.f32 u 4)))))) | |
| 2.4b | (*.f32 s (neg.f32 (fma.f32 (pow.f32 u 3) -64/3 (fma.f32 (*.f32 u u) -8 (*.f32 u -4))))) | |
| 11.9b | (*.f32 s (neg.f32 (+.f32 (log.f32 (sqrt.f32 (fma.f32 u -4 1))) (log.f32 (sqrt.f32 (fma.f32 u -4 1)))))) | |
| 7.9b | (*.f32 s (*.f32 4 u)) |
Compiled 3566 to 2683 computations (24.8% saved)
Total 0.1b remaining (65.6%)
Threshold costs 0.1b (65.6%)
Compiled 7779 to 6167 computations (20.7% 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 | 8 | 11 |
| 1 | 16 | 11 |
| 2 | 23 | 11 |
| 3 | 29 | 11 |
| 4 | 32 | 11 |
| 5 | 33 | 11 |
| 6 | 33 | 11 |
Compiled 197 to 155 computations (21.3% saved)
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