Time bar (total: 4.8s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 74.9% | 25.1% | 0 |
| 0% | 74.9% | 25.1% | 1 |
| 37.5% | 37.5% | 25.1% | 2 |
| 37.5% | 18.7% | 43.8% | 3 |
| 46.8% | 9.4% | 43.8% | 4 |
| 51.5% | 4.7% | 43.8% | 5 |
| 51.5% | 2.3% | 46.1% | 6 |
| 52.7% | 1.2% | 46.1% | 7 |
| 53.3% | 0.6% | 46.1% | 8 |
| 53.3% | 0.3% | 46.4% | 9 |
| 53.4% | 0.1% | 46.4% | 10 |
| 53.5% | 0.1% | 46.4% | 11 |
| 53.5% | 0% | 46.5% | 12 |
| 53.5% | 0% | 46.5% | 13 |
| 53.5% | 0% | 46.5% | 14 |
Compiled 71 to 33 computations (53.5% saved)
| 1.5s | 8256× | body | 128 | valid |
| 0.0ms | 1× | body | 128 | invalid |
Compiled 210 to 97 computations (53.8% saved)
| 1× | egg-herbie |
| 1509× | associate-/l*_binary64 |
| 766× | distribute-rgt-out_binary64 |
| 744× | distribute-lft-out_binary64 |
| 549× | unswap-sqr_binary64 |
| 497× | associate-/r*_binary64 |
Useful iterations: 7 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 75 |
| 1 | 74 | 59 |
| 2 | 239 | 41 |
| 3 | 928 | 37 |
| 4 | 1549 | 37 |
| 5 | 3195 | 37 |
| 6 | 3534 | 37 |
| 7 | 3698 | 33 |
| 8 | 2289 | 33 |
| 9 | 2775 | 33 |
| 10 | 2823 | 33 |
| 11 | 4807 | 33 |
| 12 | 5324 | 33 |
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 |
| 0.5b | (fabs.f64 (/.f64 (fma.f64 1/21 (pow.f64 x 7) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 2 x (*.f64 2/3 (pow.f64 x 3))))) (sqrt.f64 (PI.f64)))) | |
| ▶ | 0.1b | (fabs.f64 (*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (*.f64 2 (fabs.f64 x)) (*.f64 (/.f64 2 3) (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 1 5) (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 1 21) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))))) |
Compiled 272 to 147 computations (46% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.1b | (*.f64 (/.f64 1 5) (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))) |
| ✓ | 0.1b | (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) |
| ✓ | 0.2b | (*.f64 (/.f64 2 3) (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x))) |
| ✓ | 1.0b | (sqrt.f64 (PI.f64)) |
4 calls:
| 16.0ms | (*.f64 (/.f64 1 5) (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))) |
| 10.0ms | (*.f64 (/.f64 2 3) (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x))) |
| 8.0ms | (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) |
| 0.0ms | (sqrt.f64 (PI.f64)) |
| 1× | rewrite-expression-head |
| 115× | add-exp-log_binary64 |
| 78× | add-cbrt-cube_binary64 |
| 75× | prod-exp_binary64 |
| 53× | pow1_binary64 |
| 45× | cbrt-unprod_binary64 |
4 calls:
| 27.0ms | (*.f64 (/.f64 1 5) (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))) |
| 10.0ms | (*.f64 (/.f64 2 3) (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x))) |
| 7.0ms | (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) |
| 1.0ms | (sqrt.f64 (PI.f64)) |
| 1× | egg-herbie |
| 504× | associate-/l*_binary64 |
| 471× | fma-def_binary64 |
| 345× | associate-/r*_binary64 |
| 331× | unswap-sqr_binary64 |
| 310× | associate-*r*_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 217 | 2646 |
| 1 | 396 | 2039 |
| 2 | 1372 | 1782 |
| 3 | 2977 | 1752 |
| 4 | 4619 | 1719 |
| 5 | 4996 | 1719 |
| 6 | 4891 | 1719 |
4 alts after pruning (4 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 279 | 3 | 282 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 280 | 4 | 284 |
| Status | Error | Program |
| ▶ | 0.1b | (fabs.f64 (*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (*.f64 2 (fabs.f64 x)) (*.f64 (/.f64 2 3) (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 1 5) (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 1 21) (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (fabs.f64 x) 3) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))))) |
| 0.5b | (fabs.f64 (/.f64 (fma.f64 1/21 (pow.f64 x 7) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 2 x (*.f64 2/3 (pow.f64 x 3))))) (sqrt.f64 (PI.f64)))) | |
| 5.5b | (fabs.f64 (*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (*.f64 2 (fabs.f64 x)) (*.f64 (/.f64 2 3) (log.f64 (exp.f64 (pow.f64 (fabs.f64 x) 3))))) (*.f64 (/.f64 1 5) (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 1 21) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))))) | |
| 1.1b | (fabs.f64 (*.f64 (/.f64 1 (expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))) (+.f64 (+.f64 (+.f64 (*.f64 2 (fabs.f64 x)) (*.f64 (/.f64 2 3) (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 1 5) (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 1 21) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))))) |
Compiled 20573 to 7402 computations (64% saved)
Found 4 expressions with local error:
| New | Error | Program |
| 0.1b | (*.f64 (/.f64 1 5) (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))) | |
| 0.1b | (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) | |
| 0.2b | (*.f64 (/.f64 2 3) (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x))) | |
| 1.0b | (sqrt.f64 (PI.f64)) |
4 alts after pruning (3 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 236 | 2 | 238 |
| Fresh | 2 | 1 | 3 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 238 | 4 | 242 |
| Status | Error | Program |
| ✓ | 0.1b | (fabs.f64 (*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (*.f64 2 (fabs.f64 x)) (*.f64 (/.f64 2 3) (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 1 5) (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 1 21) (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (fabs.f64 x) 3) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))))) |
| 1.1b | (fabs.f64 (*.f64 (/.f64 1 (expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))) (+.f64 (+.f64 (+.f64 (*.f64 2 (fabs.f64 x)) (*.f64 (/.f64 2 3) (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 1 5) (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 1 21) (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (fabs.f64 x) 3) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))))) | |
| 5.5b | (fabs.f64 (*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (*.f64 2 (fabs.f64 x)) (*.f64 (/.f64 2 3) (log.f64 (exp.f64 (pow.f64 (fabs.f64 x) 3))))) (*.f64 (/.f64 1 5) (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 1 21) (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (fabs.f64 x) 3) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))))) | |
| ▶ | 0.5b | (fabs.f64 (/.f64 (fma.f64 1/21 (pow.f64 x 7) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 2 x (*.f64 2/3 (pow.f64 x 3))))) (sqrt.f64 (PI.f64)))) |
Compiled 16465 to 7708 computations (53.2% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (fma.f64 1/21 (pow.f64 x 7) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 2 x (*.f64 2/3 (pow.f64 x 3))))) |
| ✓ | 0.2b | (*.f64 2/3 (pow.f64 x 3)) |
| ✓ | 0.3b | (/.f64 (fma.f64 1/21 (pow.f64 x 7) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 2 x (*.f64 2/3 (pow.f64 x 3))))) (sqrt.f64 (PI.f64))) |
| 1.0b | (sqrt.f64 (PI.f64)) |
3 calls:
| 10.0ms | (/.f64 (fma.f64 1/21 (pow.f64 x 7) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 2 x (*.f64 2/3 (pow.f64 x 3))))) (sqrt.f64 (PI.f64))) |
| 4.0ms | (fma.f64 1/21 (pow.f64 x 7) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 2 x (*.f64 2/3 (pow.f64 x 3))))) |
| 3.0ms | (*.f64 2/3 (pow.f64 x 3)) |
| 1× | rewrite-expression-head |
| 29× | add-sqr-sqrt_binary64 |
| 22× | *-un-lft-identity_binary64 |
| 22× | add-cube-cbrt_binary64 |
| 18× | times-frac_binary64 |
| 12× | associate-*r*_binary64 |
3 calls:
| 5.0ms | (*.f64 2/3 (pow.f64 x 3)) |
| 3.0ms | (/.f64 (fma.f64 1/21 (pow.f64 x 7) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 2 x (*.f64 2/3 (pow.f64 x 3))))) (sqrt.f64 (PI.f64))) |
| 0.0ms | (fma.f64 1/21 (pow.f64 x 7) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 2 x (*.f64 2/3 (pow.f64 x 3))))) |
| 1× | egg-herbie |
| 642× | associate-*l*_binary64 |
| 599× | associate-*r*_binary64 |
| 300× | fma-def_binary64 |
| 205× | cancel-sign-sub-inv_binary64 |
| 199× | exp-prod_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 163 | 3453 |
| 1 | 317 | 3236 |
| 2 | 795 | 3122 |
| 3 | 3459 | 3122 |
| 4 | 4864 | 3122 |
5 alts after pruning (3 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 158 | 3 | 161 |
| Fresh | 2 | 0 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 160 | 5 | 165 |
| Status | Error | Program |
| ✓ | 0.1b | (fabs.f64 (*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (*.f64 2 (fabs.f64 x)) (*.f64 (/.f64 2 3) (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 1 5) (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 1 21) (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (fabs.f64 x) 3) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))))) |
| 1.2b | (fabs.f64 (/.f64 (fma.f64 1/21 (pow.f64 x 7) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 2 x (*.f64 2/3 (pow.f64 x 3))))) (expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64)))))) | |
| ✓ | 0.5b | (fabs.f64 (/.f64 (fma.f64 1/21 (pow.f64 x 7) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 2 x (*.f64 2/3 (pow.f64 x 3))))) (sqrt.f64 (PI.f64)))) |
| ▶ | 0.1b | (fabs.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))) (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7)))))) |
| 0.4b | (fabs.f64 (/.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (fma.f64 2 x (*.f64 2/3 (pow.f64 x 3))))) (fabs.f64 (cbrt.f64 (PI.f64)))) (sqrt.f64 (cbrt.f64 (PI.f64))))) |
Compiled 5367 to 3935 computations (26.7% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.1b | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7)))) |
| ✓ | 0.1b | (*.f64 1/21 (pow.f64 x 7)) |
| ✓ | 0.1b | (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7))) |
| 0.2b | (*.f64 2/3 (pow.f64 x 3)) |
3 calls:
| 11.0ms | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7)))) |
| 6.0ms | (*.f64 1/21 (pow.f64 x 7)) |
| 5.0ms | (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7))) |
| 1× | rewrite-expression-head |
| 29× | add-sqr-sqrt_binary64 |
| 19× | associate-*l*_binary64 |
| 16× | sqrt-prod_binary64 |
| 16× | *-un-lft-identity_binary64 |
| 15× | add-cube-cbrt_binary64 |
3 calls:
| 7.0ms | (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7)))) |
| 4.0ms | (*.f64 1/21 (pow.f64 x 7)) |
| 0.0ms | (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7))) |
| 1× | egg-herbie |
| 947× | distribute-lft-in_binary64 |
| 945× | distribute-rgt-in_binary64 |
| 474× | fma-def_binary64 |
| 454× | associate-*l*_binary64 |
| 385× | associate-*r*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 120 | 2194 |
| 1 | 214 | 1937 |
| 2 | 594 | 1925 |
| 3 | 1758 | 1925 |
| 4 | 5571 | 1925 |
5 alts after pruning (2 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 151 | 0 | 151 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 151 | 5 | 156 |
| Status | Error | Program |
| ✓ | 0.1b | (fabs.f64 (*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (*.f64 2 (fabs.f64 x)) (*.f64 (/.f64 2 3) (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 1 5) (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 1 21) (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (fabs.f64 x) 3) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))))) |
| 1.2b | (fabs.f64 (/.f64 (fma.f64 1/21 (pow.f64 x 7) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 2 x (*.f64 2/3 (pow.f64 x 3))))) (expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64)))))) | |
| ✓ | 0.5b | (fabs.f64 (/.f64 (fma.f64 1/21 (pow.f64 x 7) (fma.f64 1/5 (pow.f64 x 5) (fma.f64 2 x (*.f64 2/3 (pow.f64 x 3))))) (sqrt.f64 (PI.f64)))) |
| ✓ | 0.1b | (fabs.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))) (*.f64 (sqrt.f64 (/.f64 1 (PI.f64))) (fma.f64 1/5 (pow.f64 x 5) (*.f64 1/21 (pow.f64 x 7)))))) |
| 0.4b | (fabs.f64 (/.f64 (/.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 1/21 (pow.f64 x 7) (fma.f64 2 x (*.f64 2/3 (pow.f64 x 3))))) (fabs.f64 (cbrt.f64 (PI.f64)))) (sqrt.f64 (cbrt.f64 (PI.f64))))) |
Compiled 5770 to 4604 computations (20.2% saved)
Total 0.1b remaining (83.5%)
Threshold costs 0.1b (83.5%)
Compiled 37281 to 24193 computations (35.1% saved)
| 1× | egg-herbie |
| 3× | *-commutative_binary64 |
| 1× | +-commutative_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 44 |
| 1 | 31 | 44 |
| 2 | 30 | 44 |
Compiled 229 to 171 computations (25.3% saved)
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