Time bar (total: 5.7s)
| 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 |
| 74.9% | 25% | 0.2% | 5 |
| 74.9% | 25% | 0.2% | 6 |
| 74.9% | 25% | 0.2% | 7 |
| 87.3% | 12.5% | 0.2% | 8 |
| 93.6% | 6.2% | 0.2% | 9 |
| 93.6% | 6.2% | 0.2% | 10 |
| 93.6% | 6.2% | 0.2% | 11 |
| 96.7% | 3.1% | 0.2% | 12 |
| 98.2% | 1.6% | 0.2% | 13 |
| 98.2% | 1.6% | 0.2% | 14 |
Compiled 20 to 12 computations (40% saved)
| 967.0ms | 8256× | body | 128 | valid |
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 |
| ▶ | 24.0b | (/.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 |
| ✓ | 0.2b | (fma.f64 x.re y.re (*.f64 x.im y.im)) |
| ✓ | 23.9b | (/.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:
| 86.0ms | (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im))) |
| 9.0ms | (fma.f64 x.re y.re (*.f64 x.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 x.re y.re (*.f64 x.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 | 97 | 2544 |
| 1 | 202 | 2411 |
| 2 | 606 | 2327 |
| 3 | 2192 | 2279 |
| 4 | 5101 | 2279 |
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 86 | 9 | 95 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 87 | 9 | 96 |
| Status | Error | Program |
| 24.5b | (*.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 (fma.f64 x.re y.re (*.f64 x.im y.im)) (cbrt.f64 (fma.f64 y.re y.re (*.f64 y.im y.im))))) | |
| 39.1b | (/.f64 x.re y.re) | |
| 37.1b | (/.f64 (expm1.f64 (log1p.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)))) (fma.f64 y.re y.re (*.f64 y.im y.im))) | |
| 38.7b | (*.f64 (/.f64 (sqrt.f64 (fma.f64 y.im x.im (*.f64 y.re x.re))) (hypot.f64 y.im y.re)) (/.f64 (sqrt.f64 (fma.f64 y.im x.im (*.f64 y.re x.re))) (hypot.f64 y.im y.re))) | |
| 35.0b | (/.f64 x.im y.im) | |
| 23.3b | (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)))) | |
| 24.1b | (/.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)))) | |
| ▶ | 14.5b | (*.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))) |
| 33.4b | (fma.f64 y.re (/.f64 x.re (*.f64 y.im y.im)) (/.f64 x.im y.im)) |
Compiled 2330 to 516 computations (77.9% 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))) |
| ✓ | 0.2b | (fma.f64 y.im x.im (*.f64 y.re x.re)) |
| ✓ | 13.9b | (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (hypot.f64 y.im y.re)) |
4 calls:
| 241.0ms | (*.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))) |
| 97.0ms | (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (hypot.f64 y.im y.re)) |
| 20.0ms | (/.f64 1 (hypot.f64 y.im y.re)) |
| 9.0ms | (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:
| 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 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 |
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 279 | 6 | 285 |
| Fresh | 7 | 1 | 8 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 286 | 8 | 294 |
| Status | Error | Program |
| 32.4b | (fma.f64 (/.f64 y.im y.re) (/.f64 x.im y.re) (/.f64 x.re y.re)) | |
| ▶ | 14.6b | (*.f64 (sqrt.f64 (/.f64 1 (hypot.f64 y.im y.re))) (*.f64 (sqrt.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)))) |
| 45.3b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (fma.f64 (/.f64 y.im y.re) x.im x.re)) | |
| 24.1b | (/.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)))) | |
| ✓ | 14.5b | (*.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))) |
| 14.6b | (*.f64 (/.f64 1 (sqrt.f64 (hypot.f64 y.im y.re))) (/.f64 (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (hypot.f64 y.im y.re)) (sqrt.f64 (hypot.f64 y.im y.re)))) | |
| 30.1b | (fma.f64 (/.f64 x.re y.im) (/.f64 y.re y.im) (/.f64 x.im y.im)) | |
| 44.2b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (fma.f64 (/.f64 x.re y.im) y.re x.im)) |
Compiled 7342 to 2204 computations (70% saved)
Found 4 expressions with local error:
| New | Error | Program |
| 0.2b | (fma.f64 y.im x.im (*.f64 y.re x.re)) | |
| ✓ | 0.3b | (*.f64 (sqrt.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))) |
| ✓ | 0.3b | (*.f64 (sqrt.f64 (/.f64 1 (hypot.f64 y.im y.re))) (*.f64 (sqrt.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)))) |
| 13.9b | (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (hypot.f64 y.im y.re)) |
2 calls:
| 249.0ms | (*.f64 (sqrt.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))) |
| 117.0ms | (*.f64 (sqrt.f64 (/.f64 1 (hypot.f64 y.im y.re))) (*.f64 (sqrt.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)))) |
| 1× | rewrite-expression-head |
| 47× | add-sqr-sqrt_binary64 |
| 35× | times-frac_binary64 |
| 32× | sqrt-prod_binary64 |
| 32× | associate-*l*_binary64 |
| 27× | *-un-lft-identity_binary64 |
2 calls:
| 19.0ms | (*.f64 (sqrt.f64 (/.f64 1 (hypot.f64 y.im y.re))) (*.f64 (sqrt.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)))) |
| 15.0ms | (*.f64 (sqrt.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))) |
| 1× | egg-herbie |
| 711× | times-frac_binary64 |
| 313× | fma-def_binary64 |
| 291× | cancel-sign-sub-inv_binary64 |
| 236× | associate-*r*_binary64 |
| 208× | distribute-rgt-in_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 213 | 6085 |
| 1 | 534 | 5171 |
| 2 | 1893 | 5061 |
| 3 | 4563 | 5061 |
| 4 | 5001 | 5061 |
9 alts after pruning (7 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 303 | 3 | 306 |
| Fresh | 2 | 4 | 6 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 305 | 9 | 314 |
| Status | Error | Program |
| 45.3b | (*.f64 (sqrt.f64 (/.f64 1 (hypot.f64 y.im y.re))) (*.f64 (sqrt.f64 (/.f64 1 (hypot.f64 y.im y.re))) (fma.f64 (/.f64 y.im y.re) x.im x.re))) | |
| 30.1b | (fma.f64 (/.f64 x.re y.im) (/.f64 y.re y.im) (/.f64 x.im y.im)) | |
| 32.4b | (fma.f64 (/.f64 y.im y.re) (/.f64 x.im y.re) (/.f64 x.re y.re)) | |
| ✓ | 14.6b | (*.f64 (sqrt.f64 (/.f64 1 (hypot.f64 y.im y.re))) (*.f64 (sqrt.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)))) |
| 45.3b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (fma.f64 (/.f64 y.im y.re) x.im x.re)) | |
| 24.7b | (fma.f64 (/.f64 x.re (fma.f64 y.re y.re (*.f64 y.im y.im))) y.re (/.f64 (*.f64 y.im x.im) (fma.f64 y.re y.re (*.f64 y.im y.im)))) | |
| ✓ | 14.5b | (*.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))) |
| ▶ | 14.6b | (*.f64 (/.f64 1 (sqrt.f64 (hypot.f64 y.im y.re))) (/.f64 (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (hypot.f64 y.im y.re)) (sqrt.f64 (hypot.f64 y.im y.re)))) |
| 44.2b | (*.f64 (sqrt.f64 (/.f64 1 (hypot.f64 y.im y.re))) (*.f64 (sqrt.f64 (/.f64 1 (hypot.f64 y.im y.re))) (fma.f64 (/.f64 x.re y.im) y.re x.im))) |
Compiled 10210 to 3990 computations (60.9% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.2b | (fma.f64 x.re y.re (*.f64 y.im x.im)) |
| ✓ | 0.3b | (/.f64 1 (sqrt.f64 (hypot.f64 y.im y.re))) |
| ✓ | 0.3b | (*.f64 (/.f64 1 (sqrt.f64 (hypot.f64 y.im y.re))) (/.f64 (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (hypot.f64 y.im y.re)) (sqrt.f64 (hypot.f64 y.im y.re)))) |
| ✓ | 13.9b | (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (hypot.f64 y.im y.re)) |
4 calls:
| 114.0ms | (*.f64 (/.f64 1 (sqrt.f64 (hypot.f64 y.im y.re))) (/.f64 (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (hypot.f64 y.im y.re)) (sqrt.f64 (hypot.f64 y.im y.re)))) |
| 107.0ms | (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (hypot.f64 y.im y.re)) |
| 25.0ms | (/.f64 1 (sqrt.f64 (hypot.f64 y.im y.re))) |
| 11.0ms | (fma.f64 x.re y.re (*.f64 y.im x.im)) |
| 1× | rewrite-expression-head |
| 227× | times-frac_binary64 |
| 199× | add-sqr-sqrt_binary64 |
| 119× | *-un-lft-identity_binary64 |
| 109× | add-cube-cbrt_binary64 |
| 82× | associate-*r*_binary64 |
4 calls:
| 38.0ms | (*.f64 (/.f64 1 (sqrt.f64 (hypot.f64 y.im y.re))) (/.f64 (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (hypot.f64 y.im y.re)) (sqrt.f64 (hypot.f64 y.im y.re)))) |
| 3.0ms | (/.f64 1 (sqrt.f64 (hypot.f64 y.im y.re))) |
| 2.0ms | (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (hypot.f64 y.im y.re)) |
| 0.0ms | (fma.f64 x.re y.re (*.f64 y.im x.im)) |
| 1× | egg-herbie |
| 650× | fma-def_binary64 |
| 362× | cancel-sign-sub-inv_binary64 |
| 291× | associate-/l*_binary64 |
| 288× | associate-*l/_binary64 |
| 280× | fma-neg_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 361 | 11748 |
| 1 | 1011 | 9946 |
| 2 | 3314 | 9753 |
| 3 | 4716 | 9753 |
| 4 | 5071 | 9753 |
9 alts after pruning (6 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 404 | 0 | 404 |
| Fresh | 0 | 6 | 6 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 404 | 9 | 413 |
| Status | Error | Program |
| 45.3b | (*.f64 (sqrt.f64 (/.f64 1 (hypot.f64 y.im y.re))) (*.f64 (sqrt.f64 (/.f64 1 (hypot.f64 y.im y.re))) (fma.f64 (/.f64 y.im y.re) x.im x.re))) | |
| 30.1b | (fma.f64 (/.f64 x.re y.im) (/.f64 y.re y.im) (/.f64 x.im y.im)) | |
| 32.4b | (fma.f64 (/.f64 y.im y.re) (/.f64 x.im y.re) (/.f64 x.re y.re)) | |
| ✓ | 14.6b | (*.f64 (sqrt.f64 (/.f64 1 (hypot.f64 y.im y.re))) (*.f64 (sqrt.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)))) |
| 45.3b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (fma.f64 (/.f64 y.im y.re) x.im x.re)) | |
| 24.7b | (fma.f64 (/.f64 x.re (fma.f64 y.re y.re (*.f64 y.im y.im))) y.re (/.f64 (*.f64 y.im x.im) (fma.f64 y.re y.re (*.f64 y.im y.im)))) | |
| ✓ | 14.5b | (*.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))) |
| ✓ | 14.6b | (*.f64 (/.f64 1 (sqrt.f64 (hypot.f64 y.im y.re))) (/.f64 (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (hypot.f64 y.im y.re)) (sqrt.f64 (hypot.f64 y.im y.re)))) |
| 44.2b | (*.f64 (sqrt.f64 (/.f64 1 (hypot.f64 y.im y.re))) (*.f64 (sqrt.f64 (/.f64 1 (hypot.f64 y.im y.re))) (fma.f64 (/.f64 x.re y.im) y.re x.im))) |
Compiled 13896 to 3093 computations (77.7% saved)
Total 9.1b remaining (98.6%)
Threshold costs 0b (0%)
Compiled 16728 to 9269 computations (44.6% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 8 | 1.5725879929461688e+68 | 2.434578705664003e+71 | 2.388664514967102e+71 |
| 9 | 3.818831401519012e-191 | 1.0960849953009115e-183 | 1.4084867377569056e-189 |
| 5 | -1.0698237858781123e-201 | -3.2095992332259823e-202 | -7.547060237033231e-202 |
| 11 | -4.201354386931583e+114 | -4.416294379701873e+92 | -6.262881876053762e+112 |
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 | 34 | 114 |
| 1 | 43 | 114 |
| 2 | 50 | 112 |
| 3 | 57 | 112 |
| 4 | 60 | 112 |
| 5 | 61 | 112 |
| 6 | 59 | 112 |
Compiled 354 to 172 computations (51.4% saved)
Loading profile data...