Time bar (total: 4.6s)
| 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 |
| 12.5% | 87.4% | 0.1% | 5 |
| 46.8% | 53.1% | 0.1% | 6 |
| 70.2% | 29.7% | 0.1% | 7 |
| 76.5% | 23.4% | 0.1% | 8 |
| 83.5% | 16.4% | 0.1% | 9 |
| 87% | 12.9% | 0.1% | 10 |
| 91.1% | 8.8% | 0.1% | 11 |
| 93.2% | 6.7% | 0.1% | 12 |
| 95.4% | 4.5% | 0.1% | 13 |
| 96.5% | 3.4% | 0.1% | 14 |
Compiled 20 to 10 computations (50% saved)
| 810.0ms | 8256× | body | 128 | valid |
Compiled 40 to 20 computations (50% saved)
| 2× | egg-herbie |
| 378× | distribute-rgt-in_binary64 |
| 350× | fma-def_binary64 |
| 346× | distribute-lft-in_binary64 |
| 301× | associate-/l/_binary64 |
| 297× | times-frac_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 50 |
| 1 | 84 | 50 |
| 2 | 248 | 46 |
| 3 | 749 | 46 |
| 4 | 2975 | 46 |
| 5 | 4592 | 46 |
| 0 | 2 | 2 |
| 1 | 2 | 2 |
| 1× | unsound |
| 1× | node limit |
(sort x y)
Compiled 19 to 9 computations (52.6% saved)
| 1× | egg-herbie |
| 356× | fma-def_binary64 |
| 321× | distribute-rgt-out_binary64 |
| 315× | distribute-rgt-in_binary64 |
| 293× | associate-/l/_binary64 |
| 285× | distribute-lft-in_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 25 |
| 1 | 39 | 25 |
| 2 | 173 | 23 |
| 3 | 623 | 23 |
| 4 | 2588 | 23 |
| 5 | 3993 | 23 |
| 6 | 4885 | 23 |
| 7 | 4964 | 23 |
| 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 |
| 16.6b | (/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) 1))) | |
| ▶ | 9.3b | (/.f64 x (/.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)) y)) |
Compiled 109 to 48 computations (56% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (pow.f64 (+.f64 x y) 3) |
| ✓ | 0.0b | (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)) |
| ✓ | 4.5b | (/.f64 x (/.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)) y)) |
| ✓ | 6.3b | (/.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)) y) |
24 calls:
| 14.0ms | (/.f64 x (/.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)) y)) | y | 0 |
| 12.0ms | (/.f64 x (/.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)) y)) | x | 0 |
| 6.0ms | (/.f64 x (/.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)) y)) | x | -inf |
| 5.0ms | (/.f64 x (/.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)) y)) | y | -inf |
| 4.0ms | (/.f64 x (/.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)) y)) | y | inf |
| 1× | batch-egg-rewrite |
| 604× | prod-diff_binary64 |
| 209× | fma-def_binary64 |
| 184× | expm1-udef_binary64 |
| 184× | log1p-udef_binary64 |
| 136× | egg-rr |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 67 |
| 1 | 207 | 64 |
| 2 | 2984 | 64 |
| 1× | node limit |
| 1× | egg-herbie |
| 386× | associate-+r+_binary64 |
| 358× | fma-def_binary64 |
| 269× | associate-+l+_binary64 |
| 257× | +-commutative_binary64 |
| 245× | times-frac_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 287 | 4127 |
| 1 | 933 | 3822 |
| 2 | 4301 | 3795 |
| 1× | node limit |
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 221 | 7 | 228 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 222 | 8 | 230 |
| Status | Error | Program |
| 33.6b | (/.f64 x (fma.f64 3 (*.f64 y x) (fma.f64 y y y))) | |
| 34.4b | (*.f64 (/.f64 1 (/.f64 (hypot.f64 (+.f64 x y) (pow.f64 (+.f64 x y) 3/2)) (sqrt.f64 y))) (/.f64 x (/.f64 (hypot.f64 (+.f64 x y) (pow.f64 (+.f64 x y) 3/2)) (sqrt.f64 y)))) | |
| 28.2b | (*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (+.f64 x y) 2))) (/.f64 x (/.f64 1 y))) | |
| ▶ | 19.8b | (/.f64 x (+.f64 (fma.f64 3 (*.f64 y x) (fma.f64 y y y)) (+.f64 (*.f64 2 x) (fma.f64 3 (*.f64 x x) (/.f64 x (/.f64 y x)))))) |
| 37.7b | (/.f64 y (pow.f64 x 2)) | |
| 22.9b | (*.f64 x (/.f64 y (+.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (+.f64 x y) 2)))) | |
| ✓ | 9.3b | (/.f64 x (/.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)) y)) |
| 28.5b | (pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (+.f64 x y) 2)) (*.f64 x y)) -1) |
Compiled 7130 to 3921 computations (45% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 1.4b | (+.f64 (fma.f64 3 (*.f64 y x) (fma.f64 y y y)) (+.f64 (*.f64 2 x) (fma.f64 3 (*.f64 x x) (/.f64 x (/.f64 y x))))) |
| ✓ | 2.0b | (fma.f64 3 (*.f64 y x) (fma.f64 y y y)) |
| ✓ | 6.6b | (fma.f64 3 (*.f64 x x) (/.f64 x (/.f64 y x))) |
| ✓ | 11.5b | (/.f64 x (+.f64 (fma.f64 3 (*.f64 y x) (fma.f64 y y y)) (+.f64 (*.f64 2 x) (fma.f64 3 (*.f64 x x) (/.f64 x (/.f64 y x)))))) |
24 calls:
| 11.0ms | (/.f64 x (+.f64 (fma.f64 3 (*.f64 y x) (fma.f64 y y y)) (+.f64 (*.f64 2 x) (fma.f64 3 (*.f64 x x) (/.f64 x (/.f64 y x)))))) | x | -inf |
| 10.0ms | (/.f64 x (+.f64 (fma.f64 3 (*.f64 y x) (fma.f64 y y y)) (+.f64 (*.f64 2 x) (fma.f64 3 (*.f64 x x) (/.f64 x (/.f64 y x)))))) | x | 0 |
| 10.0ms | (/.f64 x (+.f64 (fma.f64 3 (*.f64 y x) (fma.f64 y y y)) (+.f64 (*.f64 2 x) (fma.f64 3 (*.f64 x x) (/.f64 x (/.f64 y x)))))) | x | inf |
| 4.0ms | (/.f64 x (+.f64 (fma.f64 3 (*.f64 y x) (fma.f64 y y y)) (+.f64 (*.f64 2 x) (fma.f64 3 (*.f64 x x) (/.f64 x (/.f64 y x)))))) | y | inf |
| 4.0ms | (/.f64 x (+.f64 (fma.f64 3 (*.f64 y x) (fma.f64 y y y)) (+.f64 (*.f64 2 x) (fma.f64 3 (*.f64 x x) (/.f64 x (/.f64 y x)))))) | y | 0 |
| 1× | batch-egg-rewrite |
| 180× | add-sqr-sqrt_binary64 |
| 173× | log1p-expm1-u_binary64 |
| 173× | expm1-log1p-u_binary64 |
| 171× | add-cbrt-cube_binary64 |
| 168× | add-log-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 93 |
| 1 | 361 | 93 |
| 1× | node limit |
| 1× | egg-herbie |
| 265× | distribute-rgt-in_binary64 |
| 243× | associate-+r+_binary64 |
| 232× | cancel-sign-sub-inv_binary64 |
| 217× | associate-/r*_binary64 |
| 216× | fma-def_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 236 | 3792 |
| 1 | 769 | 3367 |
| 2 | 3366 | 3256 |
| 1× | node limit |
8 alts after pruning (6 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 172 | 1 | 173 |
| Fresh | 1 | 5 | 6 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 173 | 8 | 181 |
| Status | Error | Program |
| 46.5b | (/.f64 1 (*.f64 (+.f64 (/.f64 1 y) 3) x)) | |
| 34.4b | (*.f64 (/.f64 1 (/.f64 (hypot.f64 (+.f64 x y) (pow.f64 (+.f64 x y) 3/2)) (sqrt.f64 y))) (/.f64 x (/.f64 (hypot.f64 (+.f64 x y) (pow.f64 (+.f64 x y) 3/2)) (sqrt.f64 y)))) | |
| 28.2b | (*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (+.f64 x y) 2))) (/.f64 x (/.f64 1 y))) | |
| ✓ | 19.8b | (/.f64 x (+.f64 (fma.f64 3 (*.f64 y x) (fma.f64 y y y)) (+.f64 (*.f64 2 x) (fma.f64 3 (*.f64 x x) (/.f64 x (/.f64 y x)))))) |
| 37.7b | (/.f64 y (pow.f64 x 2)) | |
| ▶ | 22.9b | (*.f64 x (/.f64 y (+.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (+.f64 x y) 2)))) |
| ✓ | 9.3b | (/.f64 x (/.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)) y)) |
| 28.5b | (pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (+.f64 x y) 2)) (*.f64 x y)) -1) |
Compiled 7414 to 3722 computations (49.8% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (pow.f64 (+.f64 x y) 2) |
| ✓ | 4.3b | (*.f64 x (/.f64 y (+.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (+.f64 x y) 2)))) |
| ✓ | 6.6b | (/.f64 y (+.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (+.f64 x y) 2))) |
| ✓ | 15.0b | (+.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (+.f64 x y) 2)) |
24 calls:
| 15.0ms | (/.f64 y (+.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (+.f64 x y) 2))) | x | 0 |
| 14.0ms | (*.f64 x (/.f64 y (+.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (+.f64 x y) 2)))) | x | 0 |
| 13.0ms | (*.f64 x (/.f64 y (+.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (+.f64 x y) 2)))) | y | 0 |
| 12.0ms | (/.f64 y (+.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (+.f64 x y) 2))) | y | 0 |
| 6.0ms | (*.f64 x (/.f64 y (+.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (+.f64 x y) 2)))) | y | -inf |
| 1× | batch-egg-rewrite |
| 402× | fma-def_binary64 |
| 220× | fma-neg_binary64 |
| 210× | expm1-udef_binary64 |
| 210× | log1p-udef_binary64 |
| 183× | log-pow_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 64 |
| 1 | 257 | 64 |
| 2 | 3443 | 64 |
| 1× | node limit |
| 1× | egg-herbie |
| 484× | fma-def_binary64 |
| 374× | times-frac_binary64 |
| 352× | associate-+l+_binary64 |
| 299× | associate-/l*_binary64 |
| 278× | associate-/r*_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 400 | 5557 |
| 1 | 1367 | 5178 |
| 1× | node limit |
9 alts after pruning (6 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 250 | 1 | 251 |
| Fresh | 0 | 5 | 5 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 250 | 9 | 259 |
| Status | Error | Program |
| 46.5b | (/.f64 1 (*.f64 (+.f64 (/.f64 1 y) 3) x)) | |
| 34.4b | (*.f64 (/.f64 1 (/.f64 (hypot.f64 (+.f64 x y) (pow.f64 (+.f64 x y) 3/2)) (sqrt.f64 y))) (/.f64 x (/.f64 (hypot.f64 (+.f64 x y) (pow.f64 (+.f64 x y) 3/2)) (sqrt.f64 y)))) | |
| 39.9b | (/.f64 (/.f64 (*.f64 x y) (hypot.f64 (+.f64 x y) (pow.f64 (+.f64 x y) 3/2))) (hypot.f64 (+.f64 x y) (pow.f64 (+.f64 x y) 3/2))) | |
| ▶ | 28.2b | (*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (+.f64 x y) 2))) (/.f64 x (/.f64 1 y))) |
| ✓ | 19.8b | (/.f64 x (+.f64 (fma.f64 3 (*.f64 y x) (fma.f64 y y y)) (+.f64 (*.f64 2 x) (fma.f64 3 (*.f64 x x) (/.f64 x (/.f64 y x)))))) |
| 37.7b | (/.f64 y (pow.f64 x 2)) | |
| ✓ | 22.9b | (*.f64 x (/.f64 y (+.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (+.f64 x y) 2)))) |
| ✓ | 9.3b | (/.f64 x (/.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)) y)) |
| 28.5b | (pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (+.f64 x y) 2)) (*.f64 x y)) -1) |
Compiled 9404 to 5701 computations (39.4% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.2b | (/.f64 1 (+.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (+.f64 x y) 2))) |
| ✓ | 0.2b | (/.f64 x (/.f64 1 y)) |
| 15.0b | (+.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (+.f64 x y) 2)) | |
| ✓ | 16.3b | (*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (+.f64 x y) 2))) (/.f64 x (/.f64 1 y))) |
18 calls:
| 15.0ms | (*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (+.f64 x y) 2))) (/.f64 x (/.f64 1 y))) | x | 0 |
| 14.0ms | (*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (+.f64 x y) 2))) (/.f64 x (/.f64 1 y))) | y | 0 |
| 12.0ms | (/.f64 1 (+.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (+.f64 x y) 2))) | y | 0 |
| 12.0ms | (/.f64 1 (+.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (+.f64 x y) 2))) | x | 0 |
| 5.0ms | (/.f64 1 (+.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (+.f64 x y) 2))) | x | inf |
| 1× | batch-egg-rewrite |
| 254× | expm1-udef_binary64 |
| 254× | log1p-udef_binary64 |
| 149× | add-sqr-sqrt_binary64 |
| 149× | log1p-expm1-u_binary64 |
| 149× | expm1-log1p-u_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 51 |
| 1 | 327 | 45 |
| 2 | 4423 | 45 |
| 1× | node limit |
| 1× | egg-herbie |
| 417× | times-frac_binary64 |
| 396× | fma-def_binary64 |
| 341× | associate-/l*_binary64 |
| 307× | associate-/r*_binary64 |
| 295× | associate-+l+_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 391 | 4587 |
| 1 | 1304 | 4308 |
| 1× | node limit |
9 alts after pruning (5 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 258 | 0 | 258 |
| Fresh | 0 | 5 | 5 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 3 | 3 |
| Total | 258 | 9 | 267 |
| Status | Error | Program |
| 46.5b | (/.f64 1 (*.f64 (+.f64 (/.f64 1 y) 3) x)) | |
| 34.4b | (*.f64 (/.f64 1 (/.f64 (hypot.f64 (+.f64 x y) (pow.f64 (+.f64 x y) 3/2)) (sqrt.f64 y))) (/.f64 x (/.f64 (hypot.f64 (+.f64 x y) (pow.f64 (+.f64 x y) 3/2)) (sqrt.f64 y)))) | |
| 39.9b | (/.f64 (/.f64 (*.f64 x y) (hypot.f64 (+.f64 x y) (pow.f64 (+.f64 x y) 3/2))) (hypot.f64 (+.f64 x y) (pow.f64 (+.f64 x y) 3/2))) | |
| ✓ | 28.2b | (*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (+.f64 x y) 2))) (/.f64 x (/.f64 1 y))) |
| ✓ | 19.8b | (/.f64 x (+.f64 (fma.f64 3 (*.f64 y x) (fma.f64 y y y)) (+.f64 (*.f64 2 x) (fma.f64 3 (*.f64 x x) (/.f64 x (/.f64 y x)))))) |
| 37.7b | (/.f64 y (pow.f64 x 2)) | |
| ✓ | 22.9b | (*.f64 x (/.f64 y (+.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (+.f64 x y) 2)))) |
| ✓ | 9.3b | (/.f64 x (/.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)) y)) |
| 28.5b | (pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (+.f64 x y) 2)) (*.f64 x y)) -1) |
Compiled 9873 to 6302 computations (36.2% saved)
Total 2.3b remaining (46.2%)
Threshold costs 0b (0%)
Compiled 12095 to 7409 computations (38.7% saved)
| 2× | binary-search |
2 calls:
| 18.0ms | x |
| 14.0ms | x |
| Iters | Point | Range | ||||
|---|---|---|---|---|---|---|
-3.65444476764474e-20 | ∈ [ | -3.708664026556252e-20 | , | -1.056581531649346e-21 | ] | |
-3.356067420516665e+105 | ∈ [ | -3.36627096949465e+106 | , | -3.295183427293658e+105 | ] | |
Compiled 3 to 2 computations (33.3% saved)
| 1× | egg-herbie |
| 5× | +-commutative_binary64 |
| 5× | *-commutative_binary64 |
| 1× | *-rgt-identity_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 77 |
| 1 | 46 | 77 |
| 1× | saturated |
| 1× | fuel |
Compiled 397 to 234 computations (41.1% saved)
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