Time bar (total: 6.3s)
| 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× | intervals |
| 20.0ms | 256× | body | 128 | valid |
| 7.0ms | 256× | pre | 128 | true |
Compiled 41 to 33 computations (19.5% 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)))) |
| 12.4b | (*.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:
| 314.0ms | (*.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:
| 4.0ms | (*.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 (6 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 94 | 6 | 100 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 95 | 7 | 102 |
| Status | Error | Program |
| ▶ | 0.5b | (*.f32 (sqrt.f32 s) (*.f32 (sqrt.f32 s) (neg.f32 (log1p.f32 (*.f32 u -4))))) |
| ✓ | 0.2b | (*.f32 s (neg.f32 (log1p.f32 (*.f32 u -4)))) |
| 2.0b | (*.f32 s (neg.f32 (fma.f32 (pow.f32 u 4) -64 (fma.f32 (pow.f32 u 3) -64/3 (*.f32 u (-.f32 -4 (*.f32 u 8))))))) | |
| 0.5b | (*.f32 (*.f32 s (sqrt.f32 (neg.f32 (log1p.f32 (*.f32 u -4))))) (sqrt.f32 (neg.f32 (log1p.f32 (*.f32 u -4))))) | |
| 0.7b | (*.f32 (*.f32 (cbrt.f32 s) (cbrt.f32 s)) (*.f32 (cbrt.f32 s) (neg.f32 (log1p.f32 (*.f32 u -4))))) | |
| 17.6b | (cbrt.f32 (*.f32 (*.f32 (*.f32 s s) s) (*.f32 (*.f32 (neg.f32 (log1p.f32 (*.f32 u -4))) (neg.f32 (log1p.f32 (*.f32 u -4)))) (neg.f32 (log1p.f32 (*.f32 u -4)))))) | |
| 0.7b | (*.f32 (*.f32 (cbrt.f32 (*.f32 s (neg.f32 (log1p.f32 (*.f32 u -4))))) (cbrt.f32 (*.f32 s (neg.f32 (log1p.f32 (*.f32 u -4)))))) (cbrt.f32 (*.f32 s (neg.f32 (log1p.f32 (*.f32 u -4)))))) |
Compiled 1724 to 1257 computations (27.1% saved)
Found 3 expressions with local error:
| New | Error | Program |
| 0.0b | (log1p.f32 (*.f32 u -4)) | |
| ✓ | 0.3b | (*.f32 (sqrt.f32 s) (*.f32 (sqrt.f32 s) (neg.f32 (log1p.f32 (*.f32 u -4))))) |
| ✓ | 0.3b | (*.f32 (sqrt.f32 s) (neg.f32 (log1p.f32 (*.f32 u -4)))) |
2 calls:
| 243.0ms | (*.f32 (sqrt.f32 s) (*.f32 (sqrt.f32 s) (neg.f32 (log1p.f32 (*.f32 u -4))))) |
| 22.0ms | (*.f32 (sqrt.f32 s) (neg.f32 (log1p.f32 (*.f32 u -4)))) |
| 1× | rewrite-expression-head |
| 13× | add-sqr-sqrt_binary32 |
| 12× | associate-*l*_binary32 |
| 11× | associate-*r*_binary32 |
| 9× | *-un-lft-identity_binary32 |
| 9× | add-cube-cbrt_binary32 |
2 calls:
| 6.0ms | (*.f32 (sqrt.f32 s) (*.f32 (sqrt.f32 s) (neg.f32 (log1p.f32 (*.f32 u -4))))) |
| 5.0ms | (*.f32 (sqrt.f32 s) (neg.f32 (log1p.f32 (*.f32 u -4)))) |
| 1× | egg-herbie |
| 915× | fma-def_binary32 |
| 715× | times-frac_binary32 |
| 366× | fma-neg_binary32 |
| 252× | associate-+l+_binary32 |
| 224× | associate-*r*_binary32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 186 | 1744 |
| 1 | 541 | 1595 |
| 2 | 1721 | 1526 |
| 3 | 4453 | 1526 |
| 4 | 5562 | 1526 |
7 alts after pruning (5 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 152 | 1 | 153 |
| Fresh | 1 | 4 | 5 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 153 | 7 | 160 |
| Status | Error | Program |
| ✓ | 0.5b | (*.f32 (sqrt.f32 s) (*.f32 (sqrt.f32 s) (neg.f32 (log1p.f32 (*.f32 u -4))))) |
| ✓ | 0.2b | (*.f32 s (neg.f32 (log1p.f32 (*.f32 u -4)))) |
| 0.7b | (*.f32 (*.f32 (cbrt.f32 s) (cbrt.f32 s)) (*.f32 (cbrt.f32 s) (neg.f32 (log1p.f32 (*.f32 u -4))))) | |
| 0.5b | (*.f32 (sqrt.f32 s) (*.f32 (sqrt.f32 (*.f32 (cbrt.f32 s) (cbrt.f32 s))) (*.f32 (sqrt.f32 (cbrt.f32 s)) (neg.f32 (log1p.f32 (*.f32 u -4)))))) | |
| 2.0b | (*.f32 s (neg.f32 (fma.f32 (pow.f32 u 4) -64 (fma.f32 (pow.f32 u 3) -64/3 (*.f32 u (-.f32 -4 (*.f32 u 8))))))) | |
| ▶ | 0.5b | (*.f32 (*.f32 s (sqrt.f32 (neg.f32 (log1p.f32 (*.f32 u -4))))) (sqrt.f32 (neg.f32 (log1p.f32 (*.f32 u -4))))) |
| 0.7b | (*.f32 (*.f32 (cbrt.f32 (*.f32 s (neg.f32 (log1p.f32 (*.f32 u -4))))) (cbrt.f32 (*.f32 s (neg.f32 (log1p.f32 (*.f32 u -4)))))) (cbrt.f32 (*.f32 s (neg.f32 (log1p.f32 (*.f32 u -4)))))) |
Compiled 3096 to 1922 computations (37.9% 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)))) |
| ✓ | 0.2b | (*.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:
| 350.0ms | (*.f32 (*.f32 s (sqrt.f32 (neg.f32 (log1p.f32 (*.f32 u -4))))) (sqrt.f32 (neg.f32 (log1p.f32 (*.f32 u -4))))) |
| 348.0ms | (*.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:
| 44.0ms | (*.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))))) |
| 2.0ms | (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 |
7 alts after pruning (4 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 256 | 0 | 256 |
| Fresh | 0 | 4 | 4 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 256 | 7 | 263 |
| Status | Error | Program |
| ✓ | 0.5b | (*.f32 (sqrt.f32 s) (*.f32 (sqrt.f32 s) (neg.f32 (log1p.f32 (*.f32 u -4))))) |
| ✓ | 0.2b | (*.f32 s (neg.f32 (log1p.f32 (*.f32 u -4)))) |
| 0.7b | (*.f32 (*.f32 (cbrt.f32 s) (cbrt.f32 s)) (*.f32 (cbrt.f32 s) (neg.f32 (log1p.f32 (*.f32 u -4))))) | |
| ▶ | 0.5b | (*.f32 (sqrt.f32 s) (*.f32 (sqrt.f32 (*.f32 (cbrt.f32 s) (cbrt.f32 s))) (*.f32 (sqrt.f32 (cbrt.f32 s)) (neg.f32 (log1p.f32 (*.f32 u -4)))))) |
| 2.0b | (*.f32 s (neg.f32 (fma.f32 (pow.f32 u 4) -64 (fma.f32 (pow.f32 u 3) -64/3 (*.f32 u (-.f32 -4 (*.f32 u 8))))))) | |
| ✓ | 0.5b | (*.f32 (*.f32 s (sqrt.f32 (neg.f32 (log1p.f32 (*.f32 u -4))))) (sqrt.f32 (neg.f32 (log1p.f32 (*.f32 u -4))))) |
| 0.7b | (*.f32 (*.f32 (cbrt.f32 (*.f32 s (neg.f32 (log1p.f32 (*.f32 u -4))))) (cbrt.f32 (*.f32 s (neg.f32 (log1p.f32 (*.f32 u -4)))))) (cbrt.f32 (*.f32 s (neg.f32 (log1p.f32 (*.f32 u -4)))))) |
Compiled 7544 to 6047 computations (19.8% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.3b | (*.f32 (sqrt.f32 s) (*.f32 (sqrt.f32 (*.f32 (cbrt.f32 s) (cbrt.f32 s))) (*.f32 (sqrt.f32 (cbrt.f32 s)) (neg.f32 (log1p.f32 (*.f32 u -4)))))) |
| ✓ | 0.3b | (*.f32 (sqrt.f32 (*.f32 (cbrt.f32 s) (cbrt.f32 s))) (*.f32 (sqrt.f32 (cbrt.f32 s)) (neg.f32 (log1p.f32 (*.f32 u -4))))) |
| ✓ | 0.3b | (*.f32 (sqrt.f32 (cbrt.f32 s)) (neg.f32 (log1p.f32 (*.f32 u -4)))) |
| ✓ | 0.5b | (*.f32 (cbrt.f32 s) (cbrt.f32 s)) |
4 calls:
| 353.0ms | (*.f32 (sqrt.f32 (cbrt.f32 s)) (neg.f32 (log1p.f32 (*.f32 u -4)))) |
| 234.0ms | (*.f32 (sqrt.f32 s) (*.f32 (sqrt.f32 (*.f32 (cbrt.f32 s) (cbrt.f32 s))) (*.f32 (sqrt.f32 (cbrt.f32 s)) (neg.f32 (log1p.f32 (*.f32 u -4)))))) |
| 36.0ms | (*.f32 (cbrt.f32 s) (cbrt.f32 s)) |
| 24.0ms | (*.f32 (sqrt.f32 (*.f32 (cbrt.f32 s) (cbrt.f32 s))) (*.f32 (sqrt.f32 (cbrt.f32 s)) (neg.f32 (log1p.f32 (*.f32 u -4))))) |
| 1× | rewrite-expression-head |
| 35× | add-sqr-sqrt_binary32 |
| 27× | pow1_binary32 |
| 25× | associate-*l*_binary32 |
| 22× | add-exp-log_binary32 |
| 21× | *-un-lft-identity_binary32 |
4 calls:
| 14.0ms | (*.f32 (sqrt.f32 s) (*.f32 (sqrt.f32 (*.f32 (cbrt.f32 s) (cbrt.f32 s))) (*.f32 (sqrt.f32 (cbrt.f32 s)) (neg.f32 (log1p.f32 (*.f32 u -4)))))) |
| 9.0ms | (*.f32 (sqrt.f32 (*.f32 (cbrt.f32 s) (cbrt.f32 s))) (*.f32 (sqrt.f32 (cbrt.f32 s)) (neg.f32 (log1p.f32 (*.f32 u -4))))) |
| 7.0ms | (*.f32 (sqrt.f32 (cbrt.f32 s)) (neg.f32 (log1p.f32 (*.f32 u -4)))) |
| 5.0ms | (*.f32 (cbrt.f32 s) (cbrt.f32 s)) |
| 1× | egg-herbie |
| 381× | associate-*r*_binary32 |
| 343× | distribute-rgt-neg-out_binary32 |
| 328× | associate-*l*_binary32 |
| 291× | fma-neg_binary32 |
| 263× | fma-def_binary32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 315 | 4293 |
| 1 | 881 | 3592 |
| 2 | 2702 | 3497 |
| 3 | 4581 | 3488 |
| 4 | 4987 | 3488 |
| 5 | 4999 | 3488 |
| 6 | 5034 | 3488 |
7 alts after pruning (3 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 257 | 0 | 257 |
| Fresh | 0 | 3 | 3 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 3 | 3 |
| Total | 257 | 7 | 264 |
| Status | Error | Program |
| ✓ | 0.5b | (*.f32 (sqrt.f32 s) (*.f32 (sqrt.f32 s) (neg.f32 (log1p.f32 (*.f32 u -4))))) |
| ✓ | 0.2b | (*.f32 s (neg.f32 (log1p.f32 (*.f32 u -4)))) |
| 0.7b | (*.f32 (*.f32 (cbrt.f32 s) (cbrt.f32 s)) (*.f32 (cbrt.f32 s) (neg.f32 (log1p.f32 (*.f32 u -4))))) | |
| ✓ | 0.5b | (*.f32 (sqrt.f32 s) (*.f32 (sqrt.f32 (*.f32 (cbrt.f32 s) (cbrt.f32 s))) (*.f32 (sqrt.f32 (cbrt.f32 s)) (neg.f32 (log1p.f32 (*.f32 u -4)))))) |
| 2.0b | (*.f32 s (neg.f32 (fma.f32 (pow.f32 u 4) -64 (fma.f32 (pow.f32 u 3) -64/3 (*.f32 u (-.f32 -4 (*.f32 u 8))))))) | |
| ✓ | 0.5b | (*.f32 (*.f32 s (sqrt.f32 (neg.f32 (log1p.f32 (*.f32 u -4))))) (sqrt.f32 (neg.f32 (log1p.f32 (*.f32 u -4))))) |
| 0.7b | (*.f32 (*.f32 (cbrt.f32 (*.f32 s (neg.f32 (log1p.f32 (*.f32 u -4))))) (cbrt.f32 (*.f32 s (neg.f32 (log1p.f32 (*.f32 u -4)))))) (cbrt.f32 (*.f32 s (neg.f32 (log1p.f32 (*.f32 u -4)))))) |
Compiled 6648 to 3268 computations (50.8% saved)
Total 0.2b remaining (86.6%)
Threshold costs 0.2b (86.6%)
Compiled 17436 to 13026 computations (25.3% 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 9 to 7 computations (22.2% saved)
| 1× | intervals |
| 650.0ms | 8000× | body | 128 | valid |
| 204.0ms | 8000× | pre | 128 | true |
Compiled 164 to 123 computations (25% saved)
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