Time bar (total: 6.9s)
| 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 |
| 61.0ms | 463× | 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 |
| ✓ | 1.0b | (fma.f64 x.re y.re (*.f64 x.im y.im)) |
| ✓ | 27.4b | (/.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:
| 77.0ms | (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im))) |
| 13.0ms | (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 |
13 alts after pruning (12 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 83 | 12 | 95 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 83 | 13 | 96 |
| Status | Error | Program |
| 39.1b | (/.f64 x.re y.re) | |
| 40.4b | (*.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))) | |
| 32.7b | (+.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)))) | |
| 45.7b | (*.f64 (/.f64 (sqrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) (*.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 (sqrt.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))))) | |
| 35.1b | (/.f64 x.im y.im) | |
| 20.0b | (*.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))) | |
| 25.5b | (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)))) | |
| 27.9b | (/.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (sqrt.f64 (fma.f64 y.re y.re (*.f64 y.im y.im)))) (sqrt.f64 (fma.f64 y.re y.re (*.f64 y.im y.im)))) | |
| 35.8b | (-.f64 (fma.f64 y.re (/.f64 x.re (*.f64 y.im y.im)) (/.f64 x.im y.im)) (*.f64 (/.f64 (*.f64 y.re y.re) (pow.f64 y.im 3)) (+.f64 x.im (/.f64 x.re (/.f64 y.im y.re))))) | |
| 28.4b | (*.f64 (/.f64 (*.f64 (cbrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) (cbrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)))) (*.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 (cbrt.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))))) | |
| 28.0b | (*.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (/.f64 1 (fma.f64 y.re y.re (*.f64 y.im y.im)))) | |
| ✓ | 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))) |
| ▶ | 19.5b | (*.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))) |
Compiled 2621 to 621 computations (76.3% 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))) |
| ✓ | 0.3b | (fma.f64 y.im x.im (*.f64 y.re x.re)) |
| ✓ | 18.3b | (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (hypot.f64 y.im y.re)) |
4 calls:
| 103.0ms | (*.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))) |
| 92.0ms | (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (hypot.f64 y.im y.re)) |
| 17.0ms | (/.f64 1 (hypot.f64 y.im y.re)) |
| 10.0ms | (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:
| 8.0ms | (*.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))) |
| 5.0ms | (/.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)) |
| 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 |
11 alts after pruning (11 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 277 | 8 | 285 |
| Fresh | 8 | 3 | 11 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 0 | 1 |
| Total | 287 | 11 | 298 |
| Status | Error | Program |
| 44.0b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) x.im) | |
| ▶ | 19.4b | (/.f64 (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re)) |
| 25.5b | (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)))) | |
| 47.0b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (fma.f64 (/.f64 y.im y.re) x.im x.re)) | |
| 40.4b | (*.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))) | |
| 41.4b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (neg.f64 (fma.f64 (/.f64 x.re y.im) y.re x.im))) | |
| 32.7b | (+.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)))) | |
| 29.0b | (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)))) | |
| 29.5b | (fma.f64 (/.f64 x.re y.im) (/.f64 y.re y.im) (/.f64 x.im y.im)) | |
| 34.9b | (fma.f64 (/.f64 y.im y.re) (/.f64 x.im y.re) (/.f64 x.re y.re)) | |
| 45.0b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (neg.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re))) |
Compiled 7462 to 2255 computations (69.8% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (hypot.f64 y.im y.re) |
| ✓ | 0.1b | (/.f64 (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re)) |
| ✓ | 1.0b | (fma.f64 x.re y.re (*.f64 y.im x.im)) |
| ✓ | 18.3b | (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (hypot.f64 y.im y.re)) |
4 calls:
| 109.0ms | (/.f64 (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re)) |
| 97.0ms | (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (hypot.f64 y.im y.re)) |
| 11.0ms | (hypot.f64 y.im y.re) |
| 8.0ms | (fma.f64 x.re y.re (*.f64 y.im x.im)) |
| 1× | rewrite-expression-head |
| 84× | times-frac_binary64 |
| 54× | *-un-lft-identity_binary64 |
| 54× | add-sqr-sqrt_binary64 |
| 54× | add-cube-cbrt_binary64 |
| 16× | associate-/l*_binary64 |
4 calls:
| 4.0ms | (/.f64 (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (hypot.f64 y.im y.re)) (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)) |
| 0.0ms | (hypot.f64 y.im y.re) |
| 1× | egg-herbie |
| 834× | times-frac_binary64 |
| 632× | fma-neg_binary64 |
| 365× | associate-/l/_binary64 |
| 347× | fma-def_binary64 |
| 305× | cancel-sign-sub-inv_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 264 | 6978 |
| 1 | 666 | 6470 |
| 2 | 1859 | 6153 |
| 3 | 4641 | 6153 |
| 4 | 5062 | 6153 |
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 331 | 4 | 335 |
| Fresh | 5 | 5 | 10 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 337 | 9 | 346 |
| Status | Error | Program |
| 25.5b | (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)))) | |
| 47.0b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (fma.f64 (/.f64 y.im y.re) x.im x.re)) | |
| 43.8b | (/.f64 (fma.f64 (/.f64 x.re y.im) y.re x.im) (hypot.f64 y.im y.re)) | |
| 34.9b | (fma.f64 (/.f64 y.im y.re) (/.f64 x.im y.re) (/.f64 x.re y.re)) | |
| 41.4b | (/.f64 (neg.f64 (fma.f64 (/.f64 x.re y.im) y.re x.im)) (hypot.f64 y.im y.re)) | |
| 19.5b | (/.f64 1 (*.f64 (hypot.f64 y.im y.re) (/.f64 (hypot.f64 y.im y.re) (fma.f64 y.im x.im (*.f64 y.re x.re))))) | |
| ▶ | 19.5b | (/.f64 1 (/.f64 (hypot.f64 y.im y.re) (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (hypot.f64 y.im y.re)))) |
| 29.0b | (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)))) | |
| 45.0b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (neg.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re))) |
Compiled 8581 to 1979 computations (76.9% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.1b | (/.f64 (hypot.f64 y.im y.re) (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (hypot.f64 y.im y.re))) |
| ✓ | 0.2b | (/.f64 1 (/.f64 (hypot.f64 y.im y.re) (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (hypot.f64 y.im y.re)))) |
| 1.0b | (fma.f64 x.re y.re (*.f64 y.im x.im)) | |
| 18.3b | (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (hypot.f64 y.im y.re)) |
2 calls:
| 114.0ms | (/.f64 1 (/.f64 (hypot.f64 y.im y.re) (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (hypot.f64 y.im y.re)))) |
| 70.0ms | (/.f64 (hypot.f64 y.im y.re) (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (hypot.f64 y.im y.re))) |
| 1× | rewrite-expression-head |
| 471× | times-frac_binary64 |
| 229× | *-un-lft-identity_binary64 |
| 229× | add-sqr-sqrt_binary64 |
| 229× | add-cube-cbrt_binary64 |
| 57× | associate-/r*_binary64 |
2 calls:
| 29.0ms | (/.f64 (hypot.f64 y.im y.re) (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (hypot.f64 y.im y.re))) |
| 9.0ms | (/.f64 1 (/.f64 (hypot.f64 y.im y.re) (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (hypot.f64 y.im y.re)))) |
| 1× | egg-herbie |
| 684× | fma-def_binary64 |
| 413× | cancel-sign-sub-inv_binary64 |
| 313× | associate-/r/_binary64 |
| 264× | times-frac_binary64 |
| 255× | associate-/l*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 354 | 16097 |
| 1 | 866 | 14499 |
| 2 | 3275 | 13677 |
| 3 | 4951 | 13677 |
| 4 | 5149 | 13677 |
9 alts after pruning (8 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 548 | 1 | 549 |
| Fresh | 1 | 7 | 8 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 549 | 9 | 558 |
| Status | Error | Program |
| 25.5b | (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)))) | |
| 47.0b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (fma.f64 (/.f64 y.im y.re) x.im x.re)) | |
| 43.8b | (/.f64 (fma.f64 (/.f64 x.re y.im) y.re x.im) (hypot.f64 y.im y.re)) | |
| 34.9b | (fma.f64 (/.f64 y.im y.re) (/.f64 x.im y.re) (/.f64 x.re y.re)) | |
| 41.4b | (/.f64 (neg.f64 (fma.f64 (/.f64 x.re y.im) y.re x.im)) (hypot.f64 y.im y.re)) | |
| 43.3b | (/.f64 1 (-.f64 (fma.f64 (/.f64 y.im y.re) (/.f64 y.im x.re) (fma.f64 (/.f64 (*.f64 y.im y.im) (pow.f64 x.re 3)) (/.f64 (*.f64 x.im x.im) y.re) (/.f64 y.re x.re))) (/.f64 (*.f64 y.im x.im) (*.f64 x.re x.re)))) | |
| 19.5b | (/.f64 1 (*.f64 (hypot.f64 y.im y.re) (/.f64 (hypot.f64 y.im y.re) (fma.f64 y.im x.im (*.f64 y.re x.re))))) | |
| ✓ | 19.5b | (/.f64 1 (/.f64 (hypot.f64 y.im y.re) (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (hypot.f64 y.im y.re)))) |
| 45.0b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (neg.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re))) |
Compiled 17545 to 3945 computations (77.5% saved)
Total 11.1b remaining (98.6%)
Threshold costs 0b (0%)
Compiled 13848 to 7839 computations (43.4% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 10 | 6.736288909680009e+143 | 3.7245003593291906e+156 | 1.8003344749034084e+144 |
| 5 | 19035638361.52358 | 56947318017.81081 | 19451542890.138916 |
| 8 | 2.3704126260502583e-26 | 1.0266492853082982e-23 | 1.0320858618106521e-25 |
| 9 | 2.5646288356942223e-136 | 6.064998058725015e-127 | 4.961282432869017e-134 |
| 8 | -6.244292495569735e-91 | -3.021929989140534e-94 | -8.982511531385342e-94 |
| 7 | -3.42147644238279e+138 | -1.5874657500695323e+137 | -9.10122331774869e+137 |
Compiled 5 to 4 computations (20% saved)
| 1× | egg-herbie |
| 4× | *-commutative_binary64 |
| 2× | +-commutative_binary64 |
| 2× | sub-neg_binary64 |
| 2× | neg-sub0_binary64 |
| 2× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 162 |
| 1 | 54 | 162 |
| 2 | 58 | 162 |
| 3 | 61 | 162 |
| 4 | 62 | 162 |
| 5 | 61 | 162 |
Compiled 411 to 183 computations (55.5% saved)
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