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)
| 1.1s | 8256× | body | 128 | valid |
| 64.0ms | 490× | 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 |
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 |
| ▶ | 28.0b | (/.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 2 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (fma.f64 y.re y.re (*.f64 y.im y.im)) |
| ✓ | 27.5b | (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im))) |
2 calls:
| 95.0ms | (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im))) |
| 10.0ms | (fma.f64 y.re y.re (*.f64 y.im 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:
| 2.0ms | (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im))) |
| 0.0ms | (fma.f64 y.re y.re (*.f64 y.im y.im)) |
| 1× | egg-herbie |
| 679× | fma-def_binary64 |
| 413× | associate-/l/_binary64 |
| 366× | fma-neg_binary64 |
| 246× | distribute-rgt-neg-in_binary64 |
| 245× | distribute-lft-neg-in_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 98 | 2376 |
| 1 | 200 | 2231 |
| 2 | 591 | 2147 |
| 3 | 2169 | 2099 |
| 4 | 5091 | 2099 |
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 88 | 8 | 96 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 89 | 8 | 97 |
| Status | Error | Program |
| 28.0b | (/.f64 (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (hypot.f64 y.im y.re)) (sqrt.f64 (fma.f64 y.re y.re (*.f64 y.im y.im)))) | |
| 36.8b | (/.f64 x.im y.im) | |
| 27.3b | (fma.f64 x.im (/.f64 y.im (fma.f64 y.im y.im (*.f64 y.re y.re))) (/.f64 (*.f64 y.re x.re) (fma.f64 y.im y.im (*.f64 y.re y.re)))) | |
| 28.1b | (/.f64 1 (/.f64 (fma.f64 y.re y.re (*.f64 y.im y.im)) (fma.f64 x.re y.re (*.f64 x.im y.im)))) | |
| ▶ | 17.2b | (*.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))) |
| 36.7b | (/.f64 x.re y.re) | |
| 36.1b | (fma.f64 y.re (/.f64 x.re (*.f64 y.im y.im)) (/.f64 x.im y.im)) | |
| 41.5b | (*.f64 (sqrt.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))) (sqrt.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im))))) |
Compiled 2278 to 506 computations (77.8% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (hypot.f64 y.im y.re) |
| ✓ | 0.2b | (fma.f64 y.im x.im (*.f64 y.re x.re)) |
| ✓ | 0.3b | (*.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))) |
| ✓ | 16.1b | (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (hypot.f64 y.im y.re)) |
4 calls:
| 119.0ms | (*.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))) |
| 104.0ms | (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (hypot.f64 y.im y.re)) |
| 14.0ms | (hypot.f64 y.im y.re) |
| 9.0ms | (fma.f64 y.im x.im (*.f64 y.re x.re)) |
| 1× | rewrite-expression-head |
| 43× | add-sqr-sqrt_binary64 |
| 34× | times-frac_binary64 |
| 28× | *-un-lft-identity_binary64 |
| 28× | add-exp-log_binary64 |
| 26× | add-cube-cbrt_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))) |
| 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)) |
| 0.0ms | (hypot.f64 y.im y.re) |
| 1× | egg-herbie |
| 868× | times-frac_binary64 |
| 516× | fma-neg_binary64 |
| 377× | fma-def_binary64 |
| 306× | cancel-sign-sub-inv_binary64 |
| 282× | distribute-rgt-in_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 229 | 5947 |
| 1 | 619 | 5325 |
| 2 | 2094 | 5152 |
| 3 | 4840 | 5152 |
| 4 | 5143 | 5152 |
9 alts after pruning (8 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 299 | 6 | 305 |
| Fresh | 5 | 2 | 7 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 304 | 9 | 313 |
| Status | Error | Program |
| 33.2b | (fma.f64 (/.f64 y.im y.re) (/.f64 x.im y.re) (/.f64 x.re y.re)) | |
| ▶ | 17.8b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (*.f64 (*.f64 (cbrt.f64 (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (hypot.f64 y.im y.re))) (cbrt.f64 (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (hypot.f64 y.im y.re)))) (cbrt.f64 (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (hypot.f64 y.im y.re))))) |
| 46.1b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (neg.f64 x.im)) | |
| 28.1b | (/.f64 1 (/.f64 (fma.f64 y.re y.re (*.f64 y.im y.im)) (fma.f64 x.re y.re (*.f64 x.im y.im)))) | |
| ✓ | 17.2b | (*.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))) |
| 45.1b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (fma.f64 (/.f64 y.im y.re) x.im x.re)) | |
| 17.9b | (*.f64 (/.f64 (/.f64 (*.f64 (cbrt.f64 (fma.f64 x.re y.re (*.f64 y.im x.im))) (cbrt.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)))) (*.f64 (cbrt.f64 (hypot.f64 y.im y.re)) (cbrt.f64 (hypot.f64 y.im y.re)))) (hypot.f64 y.im y.re)) (/.f64 (cbrt.f64 (fma.f64 y.im x.im (*.f64 y.re x.re))) (cbrt.f64 (hypot.f64 y.im y.re)))) | |
| 31.7b | (fma.f64 (/.f64 x.re y.im) (/.f64 y.re y.im) (/.f64 x.im y.im)) | |
| 28.0b | (/.f64 (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (hypot.f64 y.im y.re)) (sqrt.f64 (fma.f64 y.re y.re (*.f64 y.im y.im)))) |
Compiled 7987 to 2483 computations (68.9% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.3b | (*.f64 (*.f64 (cbrt.f64 (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (hypot.f64 y.im y.re))) (cbrt.f64 (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (hypot.f64 y.im y.re)))) (cbrt.f64 (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (hypot.f64 y.im y.re)))) |
| ✓ | 0.5b | (*.f64 (cbrt.f64 (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (hypot.f64 y.im y.re))) (cbrt.f64 (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (hypot.f64 y.im y.re)))) |
| ✓ | 0.6b | (cbrt.f64 (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (hypot.f64 y.im y.re))) |
| 16.1b | (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (hypot.f64 y.im y.re)) |
3 calls:
| 157.0ms | (*.f64 (cbrt.f64 (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (hypot.f64 y.im y.re))) (cbrt.f64 (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (hypot.f64 y.im y.re)))) |
| 140.0ms | (cbrt.f64 (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (hypot.f64 y.im y.re))) |
| 118.0ms | (*.f64 (*.f64 (cbrt.f64 (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (hypot.f64 y.im y.re))) (cbrt.f64 (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (hypot.f64 y.im y.re)))) (cbrt.f64 (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (hypot.f64 y.im y.re)))) |
| 1× | rewrite-expression-head |
| 92× | cbrt-prod_binary64 |
| 78× | add-sqr-sqrt_binary64 |
| 61× | times-frac_binary64 |
| 50× | *-un-lft-identity_binary64 |
| 50× | add-cube-cbrt_binary64 |
3 calls:
| 12.0ms | (*.f64 (*.f64 (cbrt.f64 (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (hypot.f64 y.im y.re))) (cbrt.f64 (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (hypot.f64 y.im y.re)))) (cbrt.f64 (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (hypot.f64 y.im y.re)))) |
| 11.0ms | (*.f64 (cbrt.f64 (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (hypot.f64 y.im y.re))) (cbrt.f64 (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (hypot.f64 y.im y.re)))) |
| 2.0ms | (cbrt.f64 (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (hypot.f64 y.im y.re))) |
| 1× | egg-herbie |
| 559× | times-frac_binary64 |
| 418× | associate-/r*_binary64 |
| 373× | associate-/l*_binary64 |
| 355× | fma-def_binary64 |
| 248× | *-commutative_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 677 | 15486 |
| 1 | 2113 | 14445 |
| 2 | 5375 | 14445 |
9 alts after pruning (7 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 941 | 1 | 942 |
| Fresh | 1 | 6 | 7 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 942 | 9 | 951 |
| Status | Error | Program |
| 39.7b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (*.f64 x.re (*.f64 y.re (sqrt.f64 (/.f64 1 (fma.f64 y.im y.im (*.f64 y.re y.re))))))) | |
| ✓ | 17.2b | (*.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))) |
| 33.2b | (fma.f64 (/.f64 y.im y.re) (/.f64 x.im y.re) (/.f64 x.re y.re)) | |
| ✓ | 17.8b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (*.f64 (*.f64 (cbrt.f64 (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (hypot.f64 y.im y.re))) (cbrt.f64 (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (hypot.f64 y.im y.re)))) (cbrt.f64 (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (hypot.f64 y.im y.re))))) |
| 46.1b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (neg.f64 x.im)) | |
| 45.1b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (fma.f64 (/.f64 y.im y.re) x.im x.re)) | |
| ▶ | 17.9b | (*.f64 (/.f64 (/.f64 (*.f64 (cbrt.f64 (fma.f64 x.re y.re (*.f64 y.im x.im))) (cbrt.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)))) (*.f64 (cbrt.f64 (hypot.f64 y.im y.re)) (cbrt.f64 (hypot.f64 y.im y.re)))) (hypot.f64 y.im y.re)) (/.f64 (cbrt.f64 (fma.f64 y.im x.im (*.f64 y.re x.re))) (cbrt.f64 (hypot.f64 y.im y.re)))) |
| 31.7b | (fma.f64 (/.f64 x.re y.im) (/.f64 y.re y.im) (/.f64 x.im y.im)) | |
| 28.0b | (/.f64 (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (hypot.f64 y.im y.re)) (sqrt.f64 (fma.f64 y.re y.re (*.f64 y.im y.im)))) |
Compiled 58500 to 17572 computations (70% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.5b | (cbrt.f64 (hypot.f64 y.im y.re)) |
| ✓ | 5.5b | (/.f64 (*.f64 (cbrt.f64 (fma.f64 x.re y.re (*.f64 y.im x.im))) (cbrt.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)))) (*.f64 (cbrt.f64 (hypot.f64 y.im y.re)) (cbrt.f64 (hypot.f64 y.im y.re)))) |
| ✓ | 16.6b | (cbrt.f64 (fma.f64 y.im x.im (*.f64 y.re x.re))) |
| ✓ | 16.6b | (cbrt.f64 (fma.f64 x.re y.re (*.f64 y.im x.im))) |
4 calls:
| 166.0ms | (/.f64 (*.f64 (cbrt.f64 (fma.f64 x.re y.re (*.f64 y.im x.im))) (cbrt.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)))) (*.f64 (cbrt.f64 (hypot.f64 y.im y.re)) (cbrt.f64 (hypot.f64 y.im y.re)))) |
| 130.0ms | (cbrt.f64 (fma.f64 x.re y.re (*.f64 y.im x.im))) |
| 76.0ms | (cbrt.f64 (fma.f64 y.im x.im (*.f64 y.re x.re))) |
| 41.0ms | (cbrt.f64 (hypot.f64 y.im y.re)) |
| 1× | rewrite-expression-head |
| 16× | add-exp-log_binary64 |
| 9× | cbrt-prod_binary64 |
| 8× | add-cbrt-cube_binary64 |
| 7× | *-un-lft-identity_binary64 |
| 7× | add-sqr-sqrt_binary64 |
4 calls:
| 7.0ms | (/.f64 (*.f64 (cbrt.f64 (fma.f64 x.re y.re (*.f64 y.im x.im))) (cbrt.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)))) (*.f64 (cbrt.f64 (hypot.f64 y.im y.re)) (cbrt.f64 (hypot.f64 y.im y.re)))) |
| 1.0ms | (cbrt.f64 (fma.f64 x.re y.re (*.f64 y.im x.im))) |
| 1.0ms | (cbrt.f64 (fma.f64 y.im x.im (*.f64 y.re x.re))) |
| 1.0ms | (cbrt.f64 (hypot.f64 y.im y.re)) |
| 1× | egg-herbie |
| 799× | times-frac_binary64 |
| 515× | associate-/l*_binary64 |
| 331× | fma-def_binary64 |
| 209× | *-commutative_binary64 |
| 205× | cancel-sign-sub-inv_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 633 | 12742 |
| 1 | 2105 | 11863 |
| 2 | 5070 | 11863 |
9 alts after pruning (6 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 433 | 0 | 433 |
| Fresh | 0 | 6 | 6 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 433 | 9 | 442 |
| Status | Error | Program |
| 39.7b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (*.f64 x.re (*.f64 y.re (sqrt.f64 (/.f64 1 (fma.f64 y.im y.im (*.f64 y.re y.re))))))) | |
| ✓ | 17.2b | (*.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))) |
| 33.2b | (fma.f64 (/.f64 y.im y.re) (/.f64 x.im y.re) (/.f64 x.re y.re)) | |
| ✓ | 17.8b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (*.f64 (*.f64 (cbrt.f64 (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (hypot.f64 y.im y.re))) (cbrt.f64 (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (hypot.f64 y.im y.re)))) (cbrt.f64 (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (hypot.f64 y.im y.re))))) |
| 46.1b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (neg.f64 x.im)) | |
| 45.1b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (fma.f64 (/.f64 y.im y.re) x.im x.re)) | |
| ✓ | 17.9b | (*.f64 (/.f64 (/.f64 (*.f64 (cbrt.f64 (fma.f64 x.re y.re (*.f64 y.im x.im))) (cbrt.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)))) (*.f64 (cbrt.f64 (hypot.f64 y.im y.re)) (cbrt.f64 (hypot.f64 y.im y.re)))) (hypot.f64 y.im y.re)) (/.f64 (cbrt.f64 (fma.f64 y.im x.im (*.f64 y.re x.re))) (cbrt.f64 (hypot.f64 y.im y.re)))) |
| 31.7b | (fma.f64 (/.f64 x.re y.im) (/.f64 y.re y.im) (/.f64 x.im y.im)) | |
| 28.0b | (/.f64 (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (hypot.f64 y.im y.re)) (sqrt.f64 (fma.f64 y.re y.re (*.f64 y.im y.im)))) |
Compiled 29260 to 9828 computations (66.4% saved)
Total 9.4b remaining (98.3%)
Threshold costs 0b (0%)
Compiled 17293 to 8844 computations (48.9% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 8 | 4.600059175016691e+122 | 3.0699538592237883e+125 | 1.65314188416292e+124 |
| 9 | 1.9939569543929294e-215 | 1.3129904177370859e-207 | 8.257594576029714e-210 |
| 10 | -2.441238558004582e-136 | -1.8691431763602715e-146 | -3.2778058876870277e-146 |
| 10 | -7.246277711792929e+140 | -1.0831246780352106e+130 | -2.9753592065970103e+133 |
Compiled 5 to 4 computations (20% saved)
| 1× | egg-herbie |
| 2× | *-commutative_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 109 |
| 1 | 39 | 109 |
| 2 | 38 | 109 |
Compiled 372 to 171 computations (54% saved)
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