Time bar (total: 8.3s)
| 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× | intervals |
| 27.0ms | 256× | body | 128 | valid |
| 1.0ms | 13× | body | 128 | invalid |
Compiled 43 to 27 computations (37.2% saved)
| 1× | egg-herbie |
| 6× | fma-def_binary64 |
| 2× | +-commutative_binary64 |
| 2× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 18 |
| 1 | 18 | 18 |
| 2 | 22 | 18 |
| 3 | 22 | 18 |
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 |
| ▶ | 24.8b | (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im))) |
Compiled 66 to 32 computations (51.5% saved)
Found 3 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (fma.f64 y.re y.re (*.f64 y.im y.im)) |
| ✓ | 0.3b | (fma.f64 x.re y.re (*.f64 x.im y.im)) |
| ✓ | 24.3b | (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im))) |
3 calls:
| 167.0ms | (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im))) |
| 19.0ms | (fma.f64 x.re y.re (*.f64 x.im y.im)) |
| 12.0ms | (fma.f64 y.re y.re (*.f64 y.im y.im)) |
| 1× | rewrite-expression-head |
| 11× | *-un-lft-identity_binary64 |
| 11× | add-sqr-sqrt_binary64 |
| 11× | add-cube-cbrt_binary64 |
| 9× | times-frac_binary64 |
| 5× | add-cbrt-cube_binary64 |
3 calls:
| 4.0ms | (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im))) |
| 1.0ms | (fma.f64 x.re y.re (*.f64 x.im y.im)) |
| 1.0ms | (fma.f64 y.re y.re (*.f64 y.im y.im)) |
| 1× | egg-herbie |
| 687× | fma-def_binary64 |
| 413× | associate-/l/_binary64 |
| 364× | fma-neg_binary64 |
| 246× | distribute-rgt-neg-in_binary64 |
| 245× | distribute-lft-neg-in_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 102 | 2836 |
| 1 | 205 | 2674 |
| 2 | 613 | 2590 |
| 3 | 2201 | 2542 |
| 4 | 5123 | 2542 |
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 110 | 9 | 119 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 111 | 9 | 120 |
| Status | Error | Program |
| 38.0b | (/.f64 x.re y.re) | |
| 24.8b | (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im))) | |
| 43.1b | (*.f64 (sqrt.f64 (fma.f64 y.im x.im (*.f64 y.re x.re))) (/.f64 (sqrt.f64 (fma.f64 y.im x.im (*.f64 y.re x.re))) (fma.f64 y.im y.im (*.f64 y.re y.re)))) | |
| 34.1b | (fma.f64 x.im (/.f64 y.im (*.f64 y.re y.re)) (/.f64 x.re y.re)) | |
| 38.6b | (/.f64 (*.f64 y.im x.im) (fma.f64 y.im y.im (*.f64 y.re y.re))) | |
| ▶ | 15.5b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (hypot.f64 y.im y.re))) |
| 36.7b | (+.f64 (/.f64 x.im y.im) (*.f64 (/.f64 y.re (*.f64 y.im y.im)) (-.f64 x.re (/.f64 (*.f64 x.im y.re) y.im)))) | |
| 36.5b | (/.f64 x.im y.im) | |
| 16.2b | (*.f64 (/.f64 (*.f64 (cbrt.f64 (fma.f64 y.im x.im (*.f64 y.re x.re))) (cbrt.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)))) (hypot.f64 y.im y.re)) (/.f64 (cbrt.f64 (fma.f64 y.im x.im (*.f64 y.re x.re))) (hypot.f64 y.im y.re))) |
Compiled 2693 to 576 computations (78.6% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (/.f64 1 (hypot.f64 y.im y.re)) |
| ✓ | 0.0b | (hypot.f64 y.im y.re) |
| ✓ | 0.2b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (hypot.f64 y.im y.re))) |
| ✓ | 14.5b | (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (hypot.f64 y.im y.re)) |
4 calls:
| 151.0ms | (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (hypot.f64 y.im y.re)) |
| 143.0ms | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (hypot.f64 y.im y.re))) |
| 21.0ms | (/.f64 1 (hypot.f64 y.im y.re)) |
| 14.0ms | (hypot.f64 y.im y.re) |
| 1× | rewrite-expression-head |
| 51× | add-sqr-sqrt_binary64 |
| 43× | times-frac_binary64 |
| 36× | *-un-lft-identity_binary64 |
| 34× | add-cube-cbrt_binary64 |
| 32× | add-exp-log_binary64 |
4 calls:
| 9.0ms | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (hypot.f64 y.im y.re))) |
| 3.0ms | (/.f64 1 (hypot.f64 y.im y.re)) |
| 2.0ms | (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (hypot.f64 y.im y.re)) |
| 0.0ms | (hypot.f64 y.im y.re) |
| 1× | egg-herbie |
| 476× | fma-def_binary64 |
| 412× | cancel-sign-sub-inv_binary64 |
| 393× | fma-neg_binary64 |
| 207× | sub-neg_binary64 |
| 191× | distribute-rgt-in_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 268 | 6451 |
| 1 | 737 | 5818 |
| 2 | 2456 | 5629 |
| 3 | 4682 | 5621 |
| 4 | 4988 | 5621 |
| 5 | 4966 | 5621 |
10 alts after pruning (9 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 341 | 7 | 348 |
| Fresh | 6 | 2 | 8 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 347 | 10 | 357 |
| Status | Error | Program |
| 32.8b | (fma.f64 (/.f64 y.im y.re) (/.f64 x.im y.re) (/.f64 x.re y.re)) | |
| 24.8b | (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im))) | |
| 22.2b | (*.f64 (/.f64 (/.f64 1 (*.f64 (cbrt.f64 (hypot.f64 y.im y.re)) (cbrt.f64 (hypot.f64 y.im y.re)))) (hypot.f64 y.im y.re)) (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (cbrt.f64 (hypot.f64 y.im y.re)))) | |
| 43.8b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (neg.f64 (fma.f64 (/.f64 x.re y.im) y.re x.im))) | |
| ▶ | 15.7b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (/.f64 (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (sqrt.f64 (hypot.f64 y.im y.re))) (sqrt.f64 (hypot.f64 y.im y.re)))) |
| 36.5b | (/.f64 x.im y.im) | |
| 45.6b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (fma.f64 (/.f64 x.re y.im) y.re x.im)) | |
| 46.4b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (fma.f64 (/.f64 y.im y.re) x.im x.re)) | |
| ✓ | 15.5b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (hypot.f64 y.im y.re))) |
| 31.9b | (fma.f64 (/.f64 x.re y.im) (/.f64 y.re y.im) (/.f64 x.im y.im)) |
Compiled 9140 to 3018 computations (67% saved)
Found 4 expressions with local error:
| New | Error | Program |
| 0.0b | (hypot.f64 y.im y.re) | |
| ✓ | 0.2b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (/.f64 (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (sqrt.f64 (hypot.f64 y.im y.re))) (sqrt.f64 (hypot.f64 y.im y.re)))) |
| ✓ | 6.5b | (/.f64 (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (sqrt.f64 (hypot.f64 y.im y.re))) (sqrt.f64 (hypot.f64 y.im y.re))) |
| ✓ | 8.1b | (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (sqrt.f64 (hypot.f64 y.im y.re))) |
3 calls:
| 191.0ms | (/.f64 (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (sqrt.f64 (hypot.f64 y.im y.re))) (sqrt.f64 (hypot.f64 y.im y.re))) |
| 152.0ms | (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (sqrt.f64 (hypot.f64 y.im y.re))) |
| 141.0ms | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (/.f64 (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (sqrt.f64 (hypot.f64 y.im y.re))) (sqrt.f64 (hypot.f64 y.im y.re)))) |
| 1× | rewrite-expression-head |
| 569× | times-frac_binary64 |
| 364× | add-sqr-sqrt_binary64 |
| 292× | *-un-lft-identity_binary64 |
| 285× | add-cube-cbrt_binary64 |
| 279× | sqrt-prod_binary64 |
3 calls:
| 46.0ms | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (/.f64 (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (sqrt.f64 (hypot.f64 y.im y.re))) (sqrt.f64 (hypot.f64 y.im y.re)))) |
| 10.0ms | (/.f64 (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (sqrt.f64 (hypot.f64 y.im y.re))) (sqrt.f64 (hypot.f64 y.im y.re))) |
| 3.0ms | (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (sqrt.f64 (hypot.f64 y.im y.re))) |
| 1× | egg-herbie |
| 791× | fma-def_binary64 |
| 409× | cancel-sign-sub-inv_binary64 |
| 350× | associate-/l/_binary64 |
| 325× | associate-/l*_binary64 |
| 313× | associate-*l/_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 441 | 20184 |
| 1 | 1204 | 18209 |
| 2 | 3734 | 17457 |
| 3 | 4839 | 17457 |
| 4 | 5166 | 17457 |
10 alts after pruning (8 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 716 | 0 | 716 |
| Fresh | 0 | 8 | 8 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 716 | 10 | 726 |
| Status | Error | Program |
| 32.8b | (fma.f64 (/.f64 y.im y.re) (/.f64 x.im y.re) (/.f64 x.re y.re)) | |
| 24.8b | (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im))) | |
| ▶ | 22.2b | (*.f64 (/.f64 (/.f64 1 (*.f64 (cbrt.f64 (hypot.f64 y.im y.re)) (cbrt.f64 (hypot.f64 y.im y.re)))) (hypot.f64 y.im y.re)) (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (cbrt.f64 (hypot.f64 y.im y.re)))) |
| 43.8b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (neg.f64 (fma.f64 (/.f64 x.re y.im) y.re x.im))) | |
| ✓ | 15.7b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (/.f64 (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (sqrt.f64 (hypot.f64 y.im y.re))) (sqrt.f64 (hypot.f64 y.im y.re)))) |
| 36.5b | (/.f64 x.im y.im) | |
| 45.6b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (fma.f64 (/.f64 x.re y.im) y.re x.im)) | |
| 46.4b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (fma.f64 (/.f64 y.im y.re) x.im x.re)) | |
| ✓ | 15.5b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (hypot.f64 y.im y.re))) |
| 31.9b | (fma.f64 (/.f64 x.re y.im) (/.f64 y.re y.im) (/.f64 x.im y.im)) |
Compiled 26210 to 5644 computations (78.5% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.5b | (*.f64 (cbrt.f64 (hypot.f64 y.im y.re)) (cbrt.f64 (hypot.f64 y.im y.re))) |
| ✓ | 0.5b | (cbrt.f64 (hypot.f64 y.im y.re)) |
| ✓ | 5.0b | (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (cbrt.f64 (hypot.f64 y.im y.re))) |
| ✓ | 19.9b | (*.f64 (/.f64 (/.f64 1 (*.f64 (cbrt.f64 (hypot.f64 y.im y.re)) (cbrt.f64 (hypot.f64 y.im y.re)))) (hypot.f64 y.im y.re)) (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (cbrt.f64 (hypot.f64 y.im y.re)))) |
4 calls:
| 504.0ms | (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (cbrt.f64 (hypot.f64 y.im y.re))) |
| 115.0ms | (*.f64 (/.f64 (/.f64 1 (*.f64 (cbrt.f64 (hypot.f64 y.im y.re)) (cbrt.f64 (hypot.f64 y.im y.re)))) (hypot.f64 y.im y.re)) (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (cbrt.f64 (hypot.f64 y.im y.re)))) |
| 47.0ms | (*.f64 (cbrt.f64 (hypot.f64 y.im y.re)) (cbrt.f64 (hypot.f64 y.im y.re))) |
| 43.0ms | (cbrt.f64 (hypot.f64 y.im y.re)) |
| 1× | rewrite-expression-head |
| 101× | add-sqr-sqrt_binary64 |
| 89× | times-frac_binary64 |
| 72× | add-exp-log_binary64 |
| 58× | *-un-lft-identity_binary64 |
| 55× | add-cube-cbrt_binary64 |
4 calls:
| 24.0ms | (*.f64 (/.f64 (/.f64 1 (*.f64 (cbrt.f64 (hypot.f64 y.im y.re)) (cbrt.f64 (hypot.f64 y.im y.re)))) (hypot.f64 y.im y.re)) (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (cbrt.f64 (hypot.f64 y.im y.re)))) |
| 5.0ms | (*.f64 (cbrt.f64 (hypot.f64 y.im y.re)) (cbrt.f64 (hypot.f64 y.im y.re))) |
| 3.0ms | (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (cbrt.f64 (hypot.f64 y.im y.re))) |
| 1.0ms | (cbrt.f64 (hypot.f64 y.im y.re)) |
| 1× | egg-herbie |
| 378× | associate-*r*_binary64 |
| 298× | associate-*l*_binary64 |
| 274× | fma-neg_binary64 |
| 240× | associate-*l/_binary64 |
| 223× | associate-/r*_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 460 | 11884 |
| 1 | 1276 | 9707 |
| 2 | 4618 | 9707 |
| 3 | 4952 | 9707 |
10 alts after pruning (7 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 481 | 1 | 482 |
| Fresh | 1 | 6 | 7 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 482 | 10 | 492 |
| Status | Error | Program |
| 32.8b | (fma.f64 (/.f64 y.im y.re) (/.f64 x.im y.re) (/.f64 x.re y.re)) | |
| 24.8b | (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im))) | |
| ✓ | 22.2b | (*.f64 (/.f64 (/.f64 1 (*.f64 (cbrt.f64 (hypot.f64 y.im y.re)) (cbrt.f64 (hypot.f64 y.im y.re)))) (hypot.f64 y.im y.re)) (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (cbrt.f64 (hypot.f64 y.im y.re)))) |
| 43.8b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (neg.f64 (fma.f64 (/.f64 x.re y.im) y.re x.im))) | |
| 46.4b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (fma.f64 (/.f64 y.im y.re) x.im x.re)) | |
| 34.3b | (+.f64 (/.f64 x.im y.im) (/.f64 (*.f64 x.re y.re) (*.f64 y.im y.im))) | |
| ✓ | 15.7b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (/.f64 (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (sqrt.f64 (hypot.f64 y.im y.re))) (sqrt.f64 (hypot.f64 y.im y.re)))) |
| 45.6b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (fma.f64 (/.f64 x.re y.im) y.re x.im)) | |
| ✓ | 15.5b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (hypot.f64 y.im y.re))) |
| 31.9b | (fma.f64 (/.f64 x.re y.im) (/.f64 y.re y.im) (/.f64 x.im y.im)) |
Compiled 19299 to 5637 computations (70.8% saved)
Total 10.6b remaining (97.9%)
Threshold costs 0b (0%)
Compiled 9703 to 5099 computations (47.4% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 6 | 9.219356996474029e+48 | 4.016497292863998e+49 | 3.9773913574442064e+49 |
| 3 | 9.329350544994407e-148 | 1.2084989454288694e-147 | 9.846032840487084e-148 |
| 9 | -4.796388480558233e-281 | -4.027873907953459e-287 | -4.7420300655524546e-281 |
| 6 | -1.1126465326004964e+158 | -2.2679240854442382e+157 | -2.2932503563534942e+157 |
Compiled 5 to 4 computations (20% saved)
| 1× | egg-herbie |
| 6× | *-commutative_binary64 |
| 3× | +-commutative_binary64 |
| 3× | sub-neg_binary64 |
| 3× | neg-sub0_binary64 |
| 3× | neg-mul-1_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 111 |
| 1 | 45 | 111 |
| 2 | 52 | 109 |
| 3 | 60 | 109 |
| 4 | 63 | 109 |
| 5 | 64 | 109 |
| 6 | 62 | 109 |
Compiled 80 to 33 computations (58.8% saved)
| 1× | intervals |
| 463.0ms | 8000× | body | 128 | valid |
| 24.0ms | 460× | body | 128 | invalid |
Compiled 291 to 153 computations (47.4% saved)
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