Time bar (total: 8.8s)
| 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 |
| 72.0ms | 510× | body | 128 | invalid |
Compiled 59 to 35 computations (40.7% 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 |
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 1 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 1 | 2 | 3 |
| Status | Error | Program |
| ▶ | 28.1b | (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) |
Compiled 70 to 36 computations (48.6% saved)
Found 3 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)) |
| ✓ | 0.9b | (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) |
| ✓ | 27.5b | (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) |
3 calls:
| 79.0ms | (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) |
| 11.0ms | (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) |
| 6.0ms | (+.f64 (*.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 |
| 7× | add-log-exp_binary64 |
3 calls:
| 6.0ms | (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) |
| 3.0ms | (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)) |
| 3.0ms | (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) |
| 1× | egg-herbie |
| 498× | associate-*l*_binary64 |
| 483× | fma-def_binary64 |
| 426× | associate-*r*_binary64 |
| 349× | times-frac_binary64 |
| 327× | fma-neg_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 132 | 3026 |
| 1 | 381 | 2904 |
| 2 | 1260 | 2820 |
| 3 | 4833 | 2820 |
| 4 | 5018 | 2820 |
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 131 | 7 | 138 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 132 | 7 | 139 |
| Status | Error | Program |
| 28.3b | (/.f64 1 (/.f64 (fma.f64 y.im y.im (*.f64 y.re y.re)) (fma.f64 y.im x.im (*.f64 y.re x.re)))) | |
| 32.9b | (fma.f64 (/.f64 y.im y.re) (/.f64 x.im y.re) (/.f64 x.re y.re)) | |
| 31.7b | (fma.f64 (/.f64 y.re y.im) (/.f64 x.re y.im) (/.f64 x.im y.im)) | |
| ▶ | 19.7b | (*.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))) |
| 20.2b | (*.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))) | |
| 26.2b | (fma.f64 (/.f64 y.im (fma.f64 y.im y.im (*.f64 y.re y.re))) x.im (/.f64 (*.f64 y.re x.re) (fma.f64 y.im y.im (*.f64 y.re y.re)))) | |
| 48.3b | (*.f64 (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (-.f64 (pow.f64 y.re 4) (pow.f64 y.im 4))) (-.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) |
Compiled 3454 to 693 computations (79.9% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (/.f64 1 (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))) |
| ✓ | 0.5b | (fma.f64 y.im x.im (*.f64 y.re x.re)) |
| ✓ | 18.4b | (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (hypot.f64 y.im y.re)) |
4 calls:
| 200.0ms | (*.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))) |
| 87.0ms | (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (hypot.f64 y.im y.re)) |
| 15.0ms | (/.f64 1 (hypot.f64 y.im y.re)) |
| 8.0ms | (fma.f64 y.im x.im (*.f64 y.re x.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:
| 10.0ms | (*.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))) |
| 2.0ms | (/.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 | (fma.f64 y.im x.im (*.f64 y.re x.re)) |
| 1× | egg-herbie |
| 872× | times-frac_binary64 |
| 508× | fma-neg_binary64 |
| 381× | fma-def_binary64 |
| 335× | cancel-sign-sub-inv_binary64 |
| 274× | distribute-rgt-in_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 235 | 6511 |
| 1 | 629 | 5720 |
| 2 | 2135 | 5547 |
| 3 | 4879 | 5539 |
| 4 | 5183 | 5539 |
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 280 | 5 | 285 |
| Fresh | 2 | 4 | 6 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 283 | 9 | 292 |
| Status | Error | Program |
| 32.9b | (fma.f64 (/.f64 y.im y.re) (/.f64 x.im y.re) (/.f64 x.re y.re)) | |
| 42.0b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (neg.f64 (fma.f64 (/.f64 x.re y.im) y.re x.im))) | |
| 31.7b | (fma.f64 (/.f64 y.re y.im) (/.f64 x.re y.im) (/.f64 x.im y.im)) | |
| 46.0b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (fma.f64 (/.f64 x.re y.im) y.re x.im)) | |
| 26.2b | (fma.f64 (/.f64 y.im (fma.f64 y.im y.im (*.f64 y.re y.re))) x.im (/.f64 (*.f64 y.re x.re) (fma.f64 y.im y.im (*.f64 y.re y.re)))) | |
| 28.5b | (fma.f64 (/.f64 x.re (fma.f64 y.im y.im (*.f64 y.re y.re))) y.re (/.f64 (*.f64 y.im x.im) (fma.f64 y.im y.im (*.f64 y.re y.re)))) | |
| 48.3b | (*.f64 (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (-.f64 (pow.f64 y.re 4) (pow.f64 y.im 4))) (-.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) | |
| 46.6b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (fma.f64 (/.f64 y.im y.re) x.im x.re)) | |
| ▶ | 19.9b | (*.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)))) |
Compiled 7410 to 2233 computations (69.9% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 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)))) |
| 0.5b | (fma.f64 y.im x.im (*.f64 y.re x.re)) | |
| ✓ | 8.1b | (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (sqrt.f64 (hypot.f64 y.im y.re))) |
| ✓ | 10.4b | (/.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 calls:
| 109.0ms | (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (sqrt.f64 (hypot.f64 y.im y.re))) |
| 99.0ms | (*.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)))) |
| 89.0ms | (/.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))) |
| 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)))) |
| 9.0ms | (/.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 |
| 315× | associate-*l/_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 441 | 20646 |
| 1 | 1204 | 18191 |
| 2 | 3743 | 17457 |
| 3 | 4839 | 17457 |
| 4 | 5166 | 17457 |
10 alts after pruning (9 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 611 | 2 | 613 |
| Fresh | 1 | 7 | 8 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 612 | 10 | 622 |
| Status | Error | Program |
| 31.7b | (fma.f64 (/.f64 y.re y.im) (/.f64 x.re y.im) (/.f64 x.im y.im)) | |
| ▶ | 23.0b | (/.f64 (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (sqrt.f64 (hypot.f64 y.im y.re))) (pow.f64 (sqrt.f64 (hypot.f64 y.im y.re)) 3)) |
| ✓ | 19.9b | (*.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)))) |
| 51.1b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (/.f64 (*.f64 x.re (sqrt.f64 y.re)) (sqrt.f64 (hypot.f64 y.im y.re)))) | |
| 32.9b | (fma.f64 (/.f64 y.im y.re) (/.f64 x.im y.re) (/.f64 x.re y.re)) | |
| 42.0b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (neg.f64 (fma.f64 (/.f64 x.re y.im) y.re x.im))) | |
| 46.0b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (fma.f64 (/.f64 x.re y.im) y.re x.im)) | |
| 26.2b | (fma.f64 (/.f64 y.im (fma.f64 y.im y.im (*.f64 y.re y.re))) x.im (/.f64 (*.f64 y.re x.re) (fma.f64 y.im y.im (*.f64 y.re y.re)))) | |
| 28.5b | (fma.f64 (/.f64 x.re (fma.f64 y.im y.im (*.f64 y.re y.re))) y.re (/.f64 (*.f64 y.im x.im) (fma.f64 y.im y.im (*.f64 y.re y.re)))) | |
| 46.6b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (fma.f64 (/.f64 y.im y.re) x.im x.re)) |
Compiled 22845 to 4335 computations (81% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.5b | (pow.f64 (sqrt.f64 (hypot.f64 y.im y.re)) 3) |
| ✓ | 0.5b | (fma.f64 x.re y.re (*.f64 y.im x.im)) |
| ✓ | 8.1b | (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (sqrt.f64 (hypot.f64 y.im y.re))) |
| ✓ | 19.3b | (/.f64 (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (sqrt.f64 (hypot.f64 y.im y.re))) (pow.f64 (sqrt.f64 (hypot.f64 y.im y.re)) 3)) |
4 calls:
| 123.0ms | (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (sqrt.f64 (hypot.f64 y.im y.re))) |
| 100.0ms | (/.f64 (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (sqrt.f64 (hypot.f64 y.im y.re))) (pow.f64 (sqrt.f64 (hypot.f64 y.im y.re)) 3)) |
| 29.0ms | (pow.f64 (sqrt.f64 (hypot.f64 y.im y.re)) 3) |
| 11.0ms | (fma.f64 x.re y.re (*.f64 y.im x.im)) |
| 1× | rewrite-expression-head |
| 756× | times-frac_binary64 |
| 386× | *-un-lft-identity_binary64 |
| 386× | add-sqr-sqrt_binary64 |
| 386× | add-cube-cbrt_binary64 |
| 327× | sqrt-prod_binary64 |
4 calls:
| 15.0ms | (/.f64 (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (sqrt.f64 (hypot.f64 y.im y.re))) (pow.f64 (sqrt.f64 (hypot.f64 y.im y.re)) 3)) |
| 3.0ms | (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (sqrt.f64 (hypot.f64 y.im y.re))) |
| 2.0ms | (pow.f64 (sqrt.f64 (hypot.f64 y.im y.re)) 3) |
| 0.0ms | (fma.f64 x.re y.re (*.f64 y.im x.im)) |
| 1× | egg-herbie |
| 810× | associate-/r*_binary64 |
| 665× | fma-def_binary64 |
| 427× | associate-/l/_binary64 |
| 363× | unswap-sqr_binary64 |
| 338× | log-prod_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 513 | 29042 |
| 1 | 1046 | 23151 |
| 2 | 3895 | 22045 |
| 3 | 3903 | 21757 |
| 4 | 4459 | 21613 |
| 5 | 4993 | 21613 |
| 6 | 4920 | 21613 |
10 alts after pruning (8 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 507 | 0 | 507 |
| Fresh | 0 | 8 | 8 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 507 | 10 | 517 |
| Status | Error | Program |
| 31.7b | (fma.f64 (/.f64 y.re y.im) (/.f64 x.re y.im) (/.f64 x.im y.im)) | |
| ✓ | 23.0b | (/.f64 (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (sqrt.f64 (hypot.f64 y.im y.re))) (pow.f64 (sqrt.f64 (hypot.f64 y.im y.re)) 3)) |
| ✓ | 19.9b | (*.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)))) |
| 51.1b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (/.f64 (*.f64 x.re (sqrt.f64 y.re)) (sqrt.f64 (hypot.f64 y.im y.re)))) | |
| 32.9b | (fma.f64 (/.f64 y.im y.re) (/.f64 x.im y.re) (/.f64 x.re y.re)) | |
| 42.0b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (neg.f64 (fma.f64 (/.f64 x.re y.im) y.re x.im))) | |
| 46.0b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (fma.f64 (/.f64 x.re y.im) y.re x.im)) | |
| 26.2b | (fma.f64 (/.f64 y.im (fma.f64 y.im y.im (*.f64 y.re y.re))) x.im (/.f64 (*.f64 y.re x.re) (fma.f64 y.im y.im (*.f64 y.re y.re)))) | |
| 28.5b | (fma.f64 (/.f64 x.re (fma.f64 y.im y.im (*.f64 y.re y.re))) y.re (/.f64 (*.f64 y.im x.im) (fma.f64 y.im y.im (*.f64 y.re y.re)))) | |
| 46.6b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (fma.f64 (/.f64 y.im y.re) x.im x.re)) |
Compiled 17209 to 4063 computations (76.4% saved)
Total 9.6b remaining (98.4%)
Threshold costs 0b (0%)
Compiled 16094 to 9680 computations (39.9% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 10 | 1.2045822682945516e+112 | 3.8845504360818415e+123 | 6.768222319451061e+117 |
| 8 | 7.791125343640146e-118 | 4.455649642112476e-113 | 3.449177705343384e-117 |
| 7 | -1.4026749661707206e-116 | -8.973733078458052e-119 | -1.2836238063303858e-118 |
| 9 | -7.092206962473592e+136 | -5.765799447911338e+131 | -1.28353704106374e+133 |
Compiled 5 to 4 computations (20% saved)
| 1× | egg-herbie |
| 8× | *-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 | 39 | 114 |
| 1 | 50 | 114 |
| 2 | 57 | 112 |
| 3 | 65 | 112 |
| 4 | 68 | 112 |
| 5 | 69 | 112 |
| 6 | 67 | 112 |
Compiled 356 to 178 computations (50% saved)
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