Time bar (total: 8.6s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.9% | 0.1% | 0 |
| 0% | 99.9% | 0.1% | 1 |
| 0% | 99.9% | 0.1% | 2 |
| 0% | 99.9% | 0.1% | 3 |
| 0% | 99.9% | 0.1% | 4 |
| 6.2% | 93.7% | 0.1% | 5 |
| 6.2% | 90.5% | 3.2% | 6 |
| 21.9% | 67.1% | 11% | 7 |
| 23.4% | 64.8% | 11.8% | 8 |
| 32% | 52.7% | 15.3% | 9 |
| 33.2% | 51.3% | 15.5% | 10 |
| 37.7% | 45.2% | 17.2% | 11 |
| 38.3% | 44.4% | 17.2% | 12 |
| 40.6% | 41.3% | 18% | 13 |
| 41% | 41% | 18% | 14 |
Compiled 15 to 12 computations (20% saved)
| 1× | intervals |
| 11.0ms | 187× | body | 128 | valid |
| 6.0ms | 26× | body | 1024 | valid |
| 6.0ms | 33× | body | 1024 | nan |
| 4.0ms | 29× | body | 512 | nan |
| 4.0ms | 23× | body | 512 | valid |
| 2.0ms | 15× | body | 256 | valid |
| 2.0ms | 5× | body | 2048 | valid |
| 1.0ms | 11× | body | 256 | nan |
| 1.0ms | 15× | body | 128 | nan |
Compiled 31 to 25 computations (19.4% saved)
| 1× | egg-herbie |
| 2748× | fma-def_binary64 |
| 1264× | fma-neg_binary64 |
| 934× | associate--r-_binary64 |
| 475× | cancel-sign-sub-inv_binary64 |
| 423× | sub-neg_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 18 |
| 1 | 22 | 17 |
| 2 | 40 | 17 |
| 3 | 86 | 15 |
| 4 | 163 | 15 |
| 5 | 344 | 15 |
| 6 | 666 | 15 |
| 7 | 1217 | 15 |
| 8 | 1463 | 15 |
| 9 | 1608 | 15 |
| 10 | 1787 | 15 |
| 11 | 2322 | 15 |
| 12 | 2926 | 15 |
| 13 | 2987 | 15 |
| 14 | 3089 | 15 |
| 15 | 3133 | 15 |
| 16 | 3142 | 15 |
| 17 | 3142 | 15 |
| 18 | 3225 | 15 |
| 19 | 3233 | 15 |
| 20 | 3237 | 15 |
| 21 | 4979 | 15 |
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 |
| ▶ | 17.8b | (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) |
| 17.8b | (-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))) |
Compiled 76 to 57 computations (25% saved)
Found 2 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (/.f64 (-.f64 x y) (+.f64 y -1)) |
| ✓ | 2.0b | (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) |
2 calls:
| 54.0ms | (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) |
| 9.0ms | (/.f64 (-.f64 x y) (+.f64 y -1)) |
| 1× | rewrite-expression-head |
| 38× | *-un-lft-identity_binary64 |
| 32× | add-sqr-sqrt_binary64 |
| 25× | times-frac_binary64 |
| 14× | add-cube-cbrt_binary64 |
| 6× | distribute-lft-out--_binary64 |
2 calls:
| 6.0ms | (/.f64 (-.f64 x y) (+.f64 y -1)) |
| 0.0ms | (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1))) |
| 1× | egg-herbie |
| 479× | associate-+r+_binary64 |
| 403× | sub-neg_binary64 |
| 349× | +-commutative_binary64 |
| 306× | associate-+l+_binary64 |
| 240× | associate-/r*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 377 | 3806 |
| 1 | 1121 | 3687 |
| 2 | 4545 | 3655 |
| 3 | 5244 | 3655 |
5 alts after pruning (4 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 163 | 3 | 166 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 163 | 5 | 168 |
| Status | Error | Program |
| ✓ | 17.8b | (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) |
| 57.0b | (-.f64 1 (-.f64 (log.f64 (+.f64 x -1)) (log.f64 y))) | |
| ▶ | 17.8b | (-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))) |
| 49.2b | (-.f64 1 (-.f64 (+.f64 (/.f64 1 (*.f64 (-.f64 1 x) y)) (+.f64 (/.f64 x (*.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 y 2))) (+.f64 (log.f64 (/.f64 -1 y)) (+.f64 (/.f64 1 (pow.f64 y 2)) (log.f64 (-.f64 1 x)))))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (*.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 y 2)))) (+.f64 (/.f64 x (*.f64 (-.f64 1 x) y)) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 y 2)))))))) | |
| 45.2b | (-.f64 1 (+.f64 (+.f64 (log1p.f64 (neg.f64 x)) (log.f64 (/.f64 -1 y))) (-.f64 (/.f64 1 (*.f64 y (-.f64 1 x))) (/.f64 x (*.f64 y (-.f64 1 x)))))) |
Compiled 5512 to 3653 computations (33.7% saved)
Found 3 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (/.f64 (-.f64 x y) (-.f64 1 y)) |
| ✓ | 2.0b | (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))) |
| ✓ | 5.0b | (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))) |
3 calls:
| 60.0ms | (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))) |
| 13.0ms | (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))) |
| 8.0ms | (/.f64 (-.f64 x y) (-.f64 1 y)) |
| 1× | rewrite-expression-head |
| 297× | add-sqr-sqrt_binary64 |
| 289× | *-un-lft-identity_binary64 |
| 184× | times-frac_binary64 |
| 114× | add-cube-cbrt_binary64 |
| 108× | prod-diff_binary64 |
3 calls:
| 17.0ms | (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))) |
| 17.0ms | (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))) |
| 7.0ms | (/.f64 (-.f64 x y) (-.f64 1 y)) |
| 1× | egg-herbie |
| 275× | fma-def_binary64 |
| 259× | associate-/r*_binary64 |
| 215× | associate-/l*_binary64 |
| 211× | associate-*r/_binary64 |
| 209× | times-frac_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 585 | 16124 |
| 1 | 1791 | 10561 |
| 2 | 4870 | 10493 |
| 3 | 4998 | 10493 |
| 4 | 4979 | 10493 |
3 alts after pruning (2 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 357 | 2 | 359 |
| Fresh | 3 | 0 | 3 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 361 | 3 | 364 |
| Status | Error | Program |
| ✓ | 17.8b | (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) |
| ▶ | 38.3b | (-.f64 1 (log.f64 (-.f64 (+.f64 (/.f64 x y) (+.f64 (/.f64 x (pow.f64 y 3)) (/.f64 x (pow.f64 y 2)))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (pow.f64 y 2))))))) |
| 46.6b | (-.f64 1 (log.f64 (+.f64 (fma.f64 1 1 (neg.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (-.f64 1 y)) (/.f64 (sqrt.f64 (-.f64 x y)) 1)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (-.f64 1 y))) (/.f64 (sqrt.f64 (-.f64 x y)) 1) (*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (-.f64 1 y)) (/.f64 (sqrt.f64 (-.f64 x y)) 1)))))) |
Compiled 14045 to 8584 computations (38.9% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 6.2b | (+.f64 (/.f64 x (pow.f64 y 3)) (/.f64 x (pow.f64 y 2))) |
| ✓ | 6.9b | (/.f64 x (pow.f64 y 2)) |
| ✓ | 9.1b | (+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (pow.f64 y 2))) |
| ✓ | 13.6b | (log.f64 (-.f64 (+.f64 (/.f64 x y) (+.f64 (/.f64 x (pow.f64 y 3)) (/.f64 x (pow.f64 y 2)))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (pow.f64 y 2)))))) |
4 calls:
| 53.0ms | (+.f64 (/.f64 x (pow.f64 y 3)) (/.f64 x (pow.f64 y 2))) |
| 32.0ms | (log.f64 (-.f64 (+.f64 (/.f64 x y) (+.f64 (/.f64 x (pow.f64 y 3)) (/.f64 x (pow.f64 y 2)))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (pow.f64 y 2)))))) |
| 27.0ms | (/.f64 x (pow.f64 y 2)) |
| 3.0ms | (+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (pow.f64 y 2))) |
| 1× | rewrite-expression-head |
| 244× | *-un-lft-identity_binary64 |
| 153× | distribute-lft-out_binary64 |
| 141× | times-frac_binary64 |
| 97× | div-inv_binary64 |
| 80× | fma-def_binary64 |
4 calls:
| 110.0ms | (log.f64 (-.f64 (+.f64 (/.f64 x y) (+.f64 (/.f64 x (pow.f64 y 3)) (/.f64 x (pow.f64 y 2)))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (pow.f64 y 2)))))) |
| 50.0ms | (+.f64 (/.f64 x (pow.f64 y 3)) (/.f64 x (pow.f64 y 2))) |
| 45.0ms | (+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (pow.f64 y 2))) |
| 3.0ms | (/.f64 x (pow.f64 y 2)) |
| 1× | egg-herbie |
| 564× | distribute-rgt-in_binary64 |
| 545× | distribute-lft-in_binary64 |
| 308× | fma-def_binary64 |
| 125× | cancel-sign-sub-inv_binary64 |
| 122× | *-commutative_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 511 | 12098 |
| 1 | 1693 | 11406 |
| 2 | 5194 | 11406 |
3 alts after pruning (1 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 363 | 0 | 363 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 363 | 3 | 366 |
| Status | Error | Program |
| ✓ | 17.8b | (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) |
| ✓ | 38.3b | (-.f64 1 (log.f64 (-.f64 (+.f64 (/.f64 x y) (+.f64 (/.f64 x (pow.f64 y 3)) (/.f64 x (pow.f64 y 2)))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (pow.f64 y 2))))))) |
| ▶ | 46.6b | (-.f64 1 (log.f64 (+.f64 (fma.f64 1 1 (neg.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (-.f64 1 y)) (/.f64 (sqrt.f64 (-.f64 x y)) 1)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (-.f64 1 y))) (/.f64 (sqrt.f64 (-.f64 x y)) 1) (*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (-.f64 1 y)) (/.f64 (sqrt.f64 (-.f64 x y)) 1)))))) |
Compiled 21164 to 13978 computations (34% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.2b | (*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (-.f64 1 y)) (/.f64 (sqrt.f64 (-.f64 x y)) 1)) |
| ✓ | 3.0b | (log.f64 (+.f64 (fma.f64 1 1 (neg.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (-.f64 1 y)) (/.f64 (sqrt.f64 (-.f64 x y)) 1)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (-.f64 1 y))) (/.f64 (sqrt.f64 (-.f64 x y)) 1) (*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (-.f64 1 y)) (/.f64 (sqrt.f64 (-.f64 x y)) 1))))) |
| ✓ | 7.6b | (fma.f64 1 1 (neg.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (-.f64 1 y)) (/.f64 (sqrt.f64 (-.f64 x y)) 1)))) |
| ✓ | 29.3b | (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (-.f64 1 y))) (/.f64 (sqrt.f64 (-.f64 x y)) 1) (*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (-.f64 1 y)) (/.f64 (sqrt.f64 (-.f64 x y)) 1))) |
4 calls:
| 1.0s | (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (-.f64 1 y))) (/.f64 (sqrt.f64 (-.f64 x y)) 1) (*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (-.f64 1 y)) (/.f64 (sqrt.f64 (-.f64 x y)) 1))) |
| 294.0ms | (log.f64 (+.f64 (fma.f64 1 1 (neg.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (-.f64 1 y)) (/.f64 (sqrt.f64 (-.f64 x y)) 1)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (-.f64 1 y))) (/.f64 (sqrt.f64 (-.f64 x y)) 1) (*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (-.f64 1 y)) (/.f64 (sqrt.f64 (-.f64 x y)) 1))))) |
| 25.0ms | (fma.f64 1 1 (neg.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (-.f64 1 y)) (/.f64 (sqrt.f64 (-.f64 x y)) 1)))) |
| 22.0ms | (*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (-.f64 1 y)) (/.f64 (sqrt.f64 (-.f64 x y)) 1)) |
| 1× | rewrite-expression-head |
| 129× | add-sqr-sqrt_binary64 |
| 94× | times-frac_binary64 |
| 91× | *-un-lft-identity_binary64 |
| 56× | sqrt-prod_binary64 |
| 54× | associate-*l*_binary64 |
4 calls:
| 28.0ms | (*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (-.f64 1 y)) (/.f64 (sqrt.f64 (-.f64 x y)) 1)) |
| 2.0ms | (log.f64 (+.f64 (fma.f64 1 1 (neg.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (-.f64 1 y)) (/.f64 (sqrt.f64 (-.f64 x y)) 1)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (-.f64 1 y))) (/.f64 (sqrt.f64 (-.f64 x y)) 1) (*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (-.f64 1 y)) (/.f64 (sqrt.f64 (-.f64 x y)) 1))))) |
| 0.0ms | (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (-.f64 1 y))) (/.f64 (sqrt.f64 (-.f64 x y)) 1) (*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (-.f64 1 y)) (/.f64 (sqrt.f64 (-.f64 x y)) 1))) |
| 0.0ms | (fma.f64 1 1 (neg.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (-.f64 1 y)) (/.f64 (sqrt.f64 (-.f64 x y)) 1)))) |
| 1× | egg-herbie |
| 670× | fma-def_binary64 |
| 422× | fma-neg_binary64 |
| 336× | distribute-rgt-in_binary64 |
| 272× | cancel-sign-sub-inv_binary64 |
| 262× | sub-neg_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 294 | 5524 |
| 1 | 721 | 4453 |
| 2 | 2350 | 3802 |
| 3 | 4427 | 3802 |
| 4 | 5011 | 3802 |
3 alts after pruning (0 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 443 | 0 | 443 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 443 | 3 | 446 |
| Status | Error | Program |
| ✓ | 17.8b | (-.f64 1 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y -1)))) |
| ✓ | 38.3b | (-.f64 1 (log.f64 (-.f64 (+.f64 (/.f64 x y) (+.f64 (/.f64 x (pow.f64 y 3)) (/.f64 x (pow.f64 y 2)))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (pow.f64 y 2))))))) |
| ✓ | 46.6b | (-.f64 1 (log.f64 (+.f64 (fma.f64 1 1 (neg.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (-.f64 1 y)) (/.f64 (sqrt.f64 (-.f64 x y)) 1)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (-.f64 1 y))) (/.f64 (sqrt.f64 (-.f64 x y)) 1) (*.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (-.f64 1 y)) (/.f64 (sqrt.f64 (-.f64 x y)) 1)))))) |
Compiled 26781 to 13605 computations (49.2% saved)
Total 0.0b remaining (63.9%)
Threshold costs 0.0b (63.9%)
Compiled 31116 to 21802 computations (29.9% saved)
Compiled 9 to 6 computations (33.3% saved)
| 1× | egg-herbie |
| 17× | +-commutative_binary64 |
| 13× | sub-neg_binary64 |
| 8× | *-commutative_binary64 |
| 8× | neg-sub0_binary64 |
| 8× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 72 |
| 1 | 47 | 72 |
| 2 | 64 | 72 |
| 3 | 84 | 72 |
| 4 | 100 | 72 |
| 5 | 106 | 72 |
| 6 | 108 | 72 |
| 7 | 106 | 72 |
Compiled 50 to 35 computations (30% saved)
| 1× | intervals |
| 383.0ms | 5953× | body | 128 | valid |
| 243.0ms | 977× | body | 1024 | valid |
| 198.0ms | 993× | body | 1024 | nan |
| 119.0ms | 638× | body | 512 | valid |
| 97.0ms | 708× | body | 512 | nan |
| 42.0ms | 350× | body | 256 | valid |
| 33.0ms | 360× | body | 256 | nan |
| 28.0ms | 82× | body | 2048 | valid |
| 22.0ms | 473× | body | 128 | nan |
| 0.0ms | 2× | body | 2048 | nan |
Compiled 171 to 116 computations (32.2% saved)
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