Time bar (total: 7.9s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.8% | 0.2% | 0 |
| 0% | 99.8% | 0.2% | 1 |
| 0% | 99.8% | 0.2% | 2 |
| 0% | 99.8% | 0.2% | 3 |
| 0% | 99.8% | 0.2% | 4 |
| 0% | 99.8% | 0.2% | 5 |
| 0% | 99.8% | 0.2% | 6 |
| 0% | 99.8% | 0.2% | 7 |
| 6.2% | 93.6% | 0.2% | 8 |
| 25% | 74.9% | 0.2% | 9 |
| 28.1% | 71.7% | 0.2% | 10 |
| 29.6% | 70.2% | 0.2% | 11 |
| 53% | 46.8% | 0.2% | 12 |
| 71.3% | 28.5% | 0.2% | 13 |
| 71.7% | 28.1% | 0.2% | 14 |
Compiled 20 to 12 computations (40% saved)
| 1.0s | 8256× | body | 128 | valid |
| 59.0ms | 471× | body | 128 | invalid |
Compiled 59 to 35 computations (40.7% saved)
| 1× | egg-herbie |
| 1070× | fma-neg_binary64 |
| 881× | fma-def_binary64 |
| 768× | times-frac_binary64 |
| 551× | cancel-sign-sub-inv_binary64 |
| 514× | unsub-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 20 |
| 1 | 25 | 20 |
| 2 | 47 | 20 |
| 3 | 78 | 20 |
| 4 | 149 | 20 |
| 5 | 228 | 20 |
| 6 | 324 | 20 |
| 7 | 500 | 20 |
| 8 | 694 | 20 |
| 9 | 867 | 20 |
| 10 | 999 | 20 |
| 11 | 2422 | 20 |
| 12 | 3920 | 20 |
| 13 | 4950 | 20 |
1 alts after pruning (1 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 1 | 2 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 2 | 1 | 3 |
| Status | Error | Program |
| ▶ | 22.2b | (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im))) |
Compiled 69 to 33 computations (52.2% saved)
Found 2 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) |
| ✓ | 21.8b | (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im))) |
2 calls:
| 394.0ms | (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im))) |
| 9.0ms | (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) |
| 1× | rewrite-expression-head |
| 10× | *-un-lft-identity_binary64 |
| 10× | add-sqr-sqrt_binary64 |
| 10× | add-cube-cbrt_binary64 |
| 9× | times-frac_binary64 |
| 4× | add-cbrt-cube_binary64 |
2 calls:
| 4.0ms | (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im))) |
| 3.0ms | (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) |
| 1× | egg-herbie |
| 523× | fma-neg_binary64 |
| 383× | associate-*l*_binary64 |
| 348× | fma-def_binary64 |
| 319× | associate-*r*_binary64 |
| 252× | associate-/l*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 132 | 2762 |
| 1 | 323 | 2614 |
| 2 | 1088 | 2567 |
| 3 | 4398 | 2567 |
| 4 | 4952 | 2567 |
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 102 | 9 | 111 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 103 | 9 | 112 |
| Status | Error | Program |
| 22.7b | (*.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im))) (cbrt.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)))) (/.f64 (cbrt.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im))) (fma.f64 y.im y.im (*.f64 y.re y.re)))) | |
| 36.3b | (-.f64 (/.f64 x.im y.re) (fma.f64 (/.f64 x.re y.re) (/.f64 y.im y.re) (/.f64 (*.f64 (*.f64 y.im y.im) x.im) (pow.f64 y.re 3)))) | |
| 14.3b | (*.f64 (/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im))) (cbrt.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)))) (hypot.f64 y.im y.re)) (/.f64 (cbrt.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im))) (hypot.f64 y.im y.re))) | |
| 35.8b | (/.f64 x.im y.re) | |
| 40.4b | (-.f64 (fma.f64 (/.f64 y.re y.im) (/.f64 x.im y.im) (/.f64 (*.f64 x.re (*.f64 y.re y.re)) (pow.f64 y.im 3))) (/.f64 x.re y.im)) | |
| 40.7b | (neg.f64 (/.f64 x.re y.im)) | |
| 22.3b | (/.f64 1 (/.f64 (fma.f64 y.re y.re (*.f64 y.im y.im)) (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)))) | |
| ▶ | 13.7b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (hypot.f64 y.im y.re))) |
| 22.7b | (*.f64 (/.f64 1 (*.f64 (cbrt.f64 (fma.f64 y.re y.re (*.f64 y.im y.im))) (cbrt.f64 (fma.f64 y.re y.re (*.f64 y.im y.im))))) (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (cbrt.f64 (fma.f64 y.re y.re (*.f64 y.im y.im))))) |
Compiled 2951 to 660 computations (77.6% saved)
Found 3 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) |
| ✓ | 0.2b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (hypot.f64 y.im y.re))) |
| ✓ | 12.9b | (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (hypot.f64 y.im y.re)) |
3 calls:
| 109.0ms | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (hypot.f64 y.im y.re))) |
| 103.0ms | (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (hypot.f64 y.im y.re)) |
| 9.0ms | (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) |
| 1× | rewrite-expression-head |
| 42× | add-sqr-sqrt_binary64 |
| 34× | times-frac_binary64 |
| 27× | *-un-lft-identity_binary64 |
| 27× | add-exp-log_binary64 |
| 25× | add-cube-cbrt_binary64 |
3 calls:
| 10.0ms | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (hypot.f64 y.im y.re))) |
| 5.0ms | (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (hypot.f64 y.im y.re)) |
| 4.0ms | (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) |
| 1× | egg-herbie |
| 747× | times-frac_binary64 |
| 528× | fma-neg_binary64 |
| 402× | fma-def_binary64 |
| 254× | cancel-sign-sub-inv_binary64 |
| 230× | distribute-rgt-in_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 226 | 5757 |
| 1 | 607 | 4941 |
| 2 | 2096 | 4883 |
| 3 | 4765 | 4882 |
| 4 | 5102 | 4882 |
11 alts after pruning (11 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 205 | 6 | 211 |
| Fresh | 3 | 5 | 8 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 209 | 11 | 220 |
| Status | Error | Program |
| 36.3b | (-.f64 (/.f64 x.im y.re) (fma.f64 (/.f64 x.re y.re) (/.f64 y.im y.re) (/.f64 (*.f64 (*.f64 y.im y.im) x.im) (pow.f64 y.re 3)))) | |
| 45.2b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (-.f64 x.re (/.f64 (*.f64 y.re x.im) y.im))) | |
| 16.0b | (*.f64 (/.f64 (/.f64 1 (sqrt.f64 (hypot.f64 y.im y.re))) (hypot.f64 y.im y.re)) (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (sqrt.f64 (hypot.f64 y.im y.re)))) | |
| ▶ | 13.6b | (/.f64 (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re)) |
| 42.9b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (-.f64 (/.f64 (*.f64 x.re y.im) y.re) x.im)) | |
| 40.4b | (-.f64 (fma.f64 (/.f64 y.re y.im) (/.f64 x.im y.im) (/.f64 (*.f64 x.re (*.f64 y.re y.re)) (pow.f64 y.im 3))) (/.f64 x.re y.im)) | |
| 44.2b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) x.im) | |
| 40.7b | (neg.f64 (/.f64 x.re y.im)) | |
| 46.9b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (neg.f64 x.re)) | |
| 22.3b | (/.f64 1 (/.f64 (fma.f64 y.re y.re (*.f64 y.im y.im)) (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)))) | |
| 22.7b | (*.f64 (/.f64 1 (*.f64 (cbrt.f64 (fma.f64 y.re y.re (*.f64 y.im y.im))) (cbrt.f64 (fma.f64 y.re y.re (*.f64 y.im y.im))))) (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (cbrt.f64 (fma.f64 y.re y.re (*.f64 y.im y.im))))) |
Compiled 5912 to 1678 computations (71.6% saved)
Found 3 expressions with local error:
| New | Error | Program |
| 0.0b | (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) | |
| ✓ | 0.1b | (/.f64 (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re)) |
| 12.9b | (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (hypot.f64 y.im y.re)) |
1 calls:
| 106.0ms | (/.f64 (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re)) |
| 1× | rewrite-expression-head |
| 75× | times-frac_binary64 |
| 43× | *-un-lft-identity_binary64 |
| 43× | add-sqr-sqrt_binary64 |
| 43× | add-cube-cbrt_binary64 |
| 13× | associate-/l*_binary64 |
1 calls:
| 7.0ms | (/.f64 (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re)) |
| 1× | egg-herbie |
| 566× | times-frac_binary64 |
| 497× | fma-neg_binary64 |
| 471× | associate-/l*_binary64 |
| 471× | associate-/l/_binary64 |
| 359× | div-sub_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 189 | 4368 |
| 1 | 440 | 4066 |
| 2 | 1093 | 3872 |
| 3 | 4104 | 3805 |
| 4 | 5309 | 3805 |
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 230 | 5 | 235 |
| Fresh | 6 | 4 | 10 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 237 | 9 | 246 |
| Status | Error | Program |
| 36.3b | (-.f64 (/.f64 x.im y.re) (fma.f64 (/.f64 x.re y.re) (/.f64 y.im y.re) (/.f64 (*.f64 (*.f64 y.im y.im) x.im) (pow.f64 y.re 3)))) | |
| ▶ | 13.8b | (/.f64 (/.f64 (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (sqrt.f64 (hypot.f64 y.im y.re))) (sqrt.f64 (hypot.f64 y.im y.re))) (hypot.f64 y.im y.re)) |
| 40.4b | (-.f64 (fma.f64 (/.f64 y.re y.im) (/.f64 x.im y.im) (/.f64 (*.f64 x.re (*.f64 y.re y.re)) (pow.f64 y.im 3))) (/.f64 x.re y.im)) | |
| 14.3b | (/.f64 1 (/.f64 (hypot.f64 y.im y.re) (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (hypot.f64 y.im y.re)))) | |
| 42.9b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (-.f64 (/.f64 (*.f64 x.re y.im) y.re) x.im)) | |
| 45.1b | (/.f64 (-.f64 x.re (/.f64 (*.f64 y.re x.im) y.im)) (hypot.f64 y.im y.re)) | |
| 22.3b | (/.f64 1 (/.f64 (fma.f64 y.re y.re (*.f64 y.im y.im)) (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)))) | |
| 47.1b | (/.f64 (-.f64 (/.f64 (*.f64 y.re x.im) y.im) x.re) (hypot.f64 y.im y.re)) | |
| 42.3b | (/.f64 (-.f64 x.im (/.f64 (*.f64 x.re y.im) y.re)) (hypot.f64 y.im y.re)) |
Compiled 6411 to 1390 computations (78.3% saved)
Found 4 expressions with local error:
| New | Error | Program |
| 0.0b | (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) | |
| ✓ | 0.1b | (/.f64 (/.f64 (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (sqrt.f64 (hypot.f64 y.im y.re))) (sqrt.f64 (hypot.f64 y.im y.re))) (hypot.f64 y.im y.re)) |
| ✓ | 4.2b | (/.f64 (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (sqrt.f64 (hypot.f64 y.im y.re))) (sqrt.f64 (hypot.f64 y.im y.re))) |
| ✓ | 8.7b | (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (sqrt.f64 (hypot.f64 y.im y.re))) |
3 calls:
| 139.0ms | (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (sqrt.f64 (hypot.f64 y.im y.re))) |
| 128.0ms | (/.f64 (/.f64 (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (sqrt.f64 (hypot.f64 y.im y.re))) (sqrt.f64 (hypot.f64 y.im y.re))) (hypot.f64 y.im y.re)) |
| 110.0ms | (/.f64 (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (sqrt.f64 (hypot.f64 y.im y.re))) (sqrt.f64 (hypot.f64 y.im y.re))) |
| 1× | rewrite-expression-head |
| 1644× | times-frac_binary64 |
| 784× | *-un-lft-identity_binary64 |
| 784× | add-sqr-sqrt_binary64 |
| 784× | add-cube-cbrt_binary64 |
| 624× | sqrt-prod_binary64 |
3 calls:
| 29.0ms | (/.f64 (/.f64 (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (sqrt.f64 (hypot.f64 y.im y.re))) (sqrt.f64 (hypot.f64 y.im y.re))) (hypot.f64 y.im y.re)) |
| 17.0ms | (/.f64 (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (sqrt.f64 (hypot.f64 y.im y.re))) (sqrt.f64 (hypot.f64 y.im y.re))) |
| 5.0ms | (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (sqrt.f64 (hypot.f64 y.im y.re))) |
| 1× | egg-herbie |
| 537× | fma-def_binary64 |
| 519× | associate-/r*_binary64 |
| 464× | div-sub_binary64 |
| 445× | associate-/l/_binary64 |
| 273× | associate-/l*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 814 | 48063 |
| 1 | 1868 | 44983 |
| 2 | 4007 | 42572 |
| 3 | 5399 | 42572 |
11 alts after pruning (10 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 987 | 2 | 989 |
| Fresh | 0 | 8 | 8 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 987 | 11 | 998 |
| Status | Error | Program |
| 36.3b | (-.f64 (/.f64 x.im y.re) (fma.f64 (/.f64 x.re y.re) (/.f64 y.im y.re) (/.f64 (*.f64 (*.f64 y.im y.im) x.im) (pow.f64 y.re 3)))) | |
| ✓ | 13.8b | (/.f64 (/.f64 (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (sqrt.f64 (hypot.f64 y.im y.re))) (sqrt.f64 (hypot.f64 y.im y.re))) (hypot.f64 y.im y.re)) |
| 48.2b | (/.f64 (/.f64 (*.f64 (sqrt.f64 y.re) x.im) (sqrt.f64 (hypot.f64 y.im y.re))) (hypot.f64 y.im y.re)) | |
| 40.4b | (-.f64 (fma.f64 (/.f64 y.re y.im) (/.f64 x.im y.im) (/.f64 (*.f64 x.re (*.f64 y.re y.re)) (pow.f64 y.im 3))) (/.f64 x.re y.im)) | |
| 14.3b | (/.f64 1 (/.f64 (hypot.f64 y.im y.re) (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (hypot.f64 y.im y.re)))) | |
| 51.0b | (/.f64 (/.f64 (neg.f64 (*.f64 x.re (sqrt.f64 y.im))) (sqrt.f64 (hypot.f64 y.im y.re))) (hypot.f64 y.im y.re)) | |
| 42.9b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (-.f64 (/.f64 (*.f64 x.re y.im) y.re) x.im)) | |
| 45.1b | (/.f64 (-.f64 x.re (/.f64 (*.f64 y.re x.im) y.im)) (hypot.f64 y.im y.re)) | |
| 22.3b | (/.f64 1 (/.f64 (fma.f64 y.re y.re (*.f64 y.im y.im)) (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)))) | |
| 47.1b | (/.f64 (-.f64 (/.f64 (*.f64 y.re x.im) y.im) x.re) (hypot.f64 y.im y.re)) | |
| 42.3b | (/.f64 (-.f64 x.im (/.f64 (*.f64 x.re y.im) y.re)) (hypot.f64 y.im y.re)) |
Compiled 41287 to 5377 computations (87% saved)
Total 12.1b remaining (85.3%)
Threshold costs 0b (0%)
Compiled 19268 to 11044 computations (42.7% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 9 | 1.2062456310266416e+30 | 3.152343568014545e+36 | 3.0970906241597073e+36 |
| 7 | -1.4070828750648742e-192 | -7.862765862347215e-195 | -9.658402922807776e-195 |
| 10 | -4.167357273759762e-132 | -4.963514388699338e-144 | -1.9738142544677371e-143 |
| 10 | -1.5928261157303677e+235 | -4.3180897455970947e+223 | -5.124136587792355e+226 |
Compiled 5 to 4 computations (20% saved)
| 1× | egg-herbie |
| 10× | +-commutative_binary64 |
| 9× | sub-neg_binary64 |
| 8× | *-commutative_binary64 |
| 5× | neg-sub0_binary64 |
| 5× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 129 |
| 1 | 56 | 129 |
| 2 | 74 | 129 |
| 3 | 84 | 129 |
| 4 | 90 | 129 |
| 5 | 91 | 129 |
| 6 | 91 | 129 |
Compiled 395 to 199 computations (49.6% saved)
Loading profile data...