Time bar (total: 10.8s)
| 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× | intervals |
| 24.0ms | 256× | body | 128 | valid |
| 2.0ms | 19× | body | 128 | invalid |
Compiled 43 to 27 computations (37.2% saved)
| 1× | egg-herbie |
| 1070× | fma-neg_binary64 |
| 881× | fma-def_binary64 |
| 768× | times-frac_binary64 |
| 551× | cancel-sign-sub-inv_binary64 |
| 514× | unsub-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 20 |
| 1 | 25 | 20 |
| 2 | 47 | 20 |
| 3 | 78 | 20 |
| 4 | 149 | 20 |
| 5 | 228 | 20 |
| 6 | 324 | 20 |
| 7 | 500 | 20 |
| 8 | 694 | 20 |
| 9 | 867 | 20 |
| 10 | 999 | 20 |
| 11 | 2422 | 20 |
| 12 | 3920 | 20 |
| 13 | 4950 | 20 |
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 |
| ▶ | 27.9b | (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im))) |
Compiled 69 to 33 computations (52.2% saved)
Found 2 expressions with local error:
| New | Error | Program |
| ✓ | 0.2b | (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) |
| ✓ | 27.4b | (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im))) |
2 calls:
| 168.0ms | (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im))) |
| 22.0ms | (-.f64 (*.f64 x.im y.re) (*.f64 x.re 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:
| 9.0ms | (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im))) |
| 6.0ms | (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) |
| 1× | egg-herbie |
| 523× | fma-neg_binary64 |
| 383× | associate-*l*_binary64 |
| 348× | fma-def_binary64 |
| 319× | associate-*r*_binary64 |
| 252× | associate-/l*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 132 | 2762 |
| 1 | 323 | 2614 |
| 2 | 1088 | 2567 |
| 3 | 4398 | 2567 |
| 4 | 4952 | 2567 |
10 alts after pruning (10 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 101 | 10 | 111 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 102 | 10 | 112 |
| Status | Error | Program |
| 28.3b | (/.f64 (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re 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))))) (cbrt.f64 (fma.f64 y.re y.re (*.f64 y.im y.im)))) | |
| 37.4b | (-.f64 (/.f64 x.im y.re) (fma.f64 (/.f64 x.re y.re) (/.f64 y.im y.re) (/.f64 (*.f64 (*.f64 y.im y.im) x.im) (pow.f64 y.re 3)))) | |
| 27.9b | (/.f64 1 (/.f64 (fma.f64 y.re y.re (*.f64 y.im y.im)) (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)))) | |
| 36.2b | (/.f64 x.im y.re) | |
| 28.1b | (*.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (/.f64 1 (fma.f64 y.re y.re (*.f64 y.im y.im)))) | |
| 38.5b | (-.f64 (fma.f64 (/.f64 y.re y.im) (/.f64 x.im y.im) (/.f64 (*.f64 x.re (*.f64 y.re y.re)) (pow.f64 y.im 3))) (/.f64 x.re y.im)) | |
| ▶ | 17.3b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (hypot.f64 y.im y.re))) |
| 37.0b | (neg.f64 (/.f64 x.re y.im)) | |
| 17.8b | (*.f64 (/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im))) (cbrt.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)))) (hypot.f64 y.im y.re)) (/.f64 (cbrt.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im))) (hypot.f64 y.im y.re))) | |
| 27.9b | (/.f64 (+.f64 (fma.f64 x.im y.re (neg.f64 (*.f64 y.im x.re))) (fma.f64 (neg.f64 y.im) x.re (*.f64 y.im x.re))) (fma.f64 y.re y.re (*.f64 y.im y.im))) |
Compiled 2965 to 680 computations (77.1% saved)
Found 3 expressions with local error:
| New | Error | Program |
| ✓ | 0.2b | (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) |
| ✓ | 0.3b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (hypot.f64 y.im y.re))) |
| ✓ | 16.1b | (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (hypot.f64 y.im y.re)) |
3 calls:
| 233.0ms | (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (hypot.f64 y.im y.re)) |
| 207.0ms | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (hypot.f64 y.im y.re))) |
| 19.0ms | (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) |
| 1× | rewrite-expression-head |
| 42× | add-sqr-sqrt_binary64 |
| 34× | times-frac_binary64 |
| 27× | *-un-lft-identity_binary64 |
| 27× | add-exp-log_binary64 |
| 25× | add-cube-cbrt_binary64 |
3 calls:
| 20.0ms | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (hypot.f64 y.im y.re))) |
| 9.0ms | (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (hypot.f64 y.im y.re)) |
| 5.0ms | (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) |
| 1× | egg-herbie |
| 747× | times-frac_binary64 |
| 528× | fma-neg_binary64 |
| 402× | fma-def_binary64 |
| 254× | cancel-sign-sub-inv_binary64 |
| 230× | distribute-rgt-in_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 226 | 5757 |
| 1 | 607 | 4941 |
| 2 | 2096 | 4883 |
| 3 | 4765 | 4882 |
| 4 | 5102 | 4882 |
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 207 | 4 | 211 |
| Fresh | 4 | 5 | 9 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 212 | 9 | 221 |
| Status | Error | Program |
| ▶ | 17.3b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (/.f64 (fma.f64 y.re x.im (neg.f64 (*.f64 x.re y.im))) (hypot.f64 y.im y.re))) |
| 27.9b | (/.f64 1 (/.f64 (fma.f64 y.re y.re (*.f64 y.im y.im)) (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)))) | |
| 36.2b | (/.f64 x.im y.re) | |
| 38.5b | (-.f64 (fma.f64 (/.f64 y.re y.im) (/.f64 x.im y.im) (/.f64 (*.f64 x.re (*.f64 y.re y.re)) (pow.f64 y.im 3))) (/.f64 x.re y.im)) | |
| 37.0b | (neg.f64 (/.f64 x.re y.im)) | |
| 17.3b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (/.f64 1 (/.f64 (hypot.f64 y.im y.re) (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im))))) | |
| 17.5b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (/.f64 (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (sqrt.f64 (hypot.f64 y.im y.re))) (sqrt.f64 (hypot.f64 y.im y.re)))) | |
| 43.8b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (-.f64 (/.f64 (*.f64 x.re y.im) y.re) x.im)) | |
| 27.9b | (/.f64 (+.f64 (fma.f64 x.im y.re (neg.f64 (*.f64 y.im x.re))) (fma.f64 (neg.f64 y.im) x.re (*.f64 y.im x.re))) (fma.f64 y.re y.re (*.f64 y.im y.im))) |
Compiled 5826 to 1632 computations (72% saved)
Found 3 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (fma.f64 y.re x.im (neg.f64 (*.f64 x.re y.im))) |
| ✓ | 0.3b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (/.f64 (fma.f64 y.re x.im (neg.f64 (*.f64 x.re y.im))) (hypot.f64 y.im y.re))) |
| ✓ | 16.1b | (/.f64 (fma.f64 y.re x.im (neg.f64 (*.f64 x.re y.im))) (hypot.f64 y.im y.re)) |
3 calls:
| 291.0ms | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (/.f64 (fma.f64 y.re x.im (neg.f64 (*.f64 x.re y.im))) (hypot.f64 y.im y.re))) |
| 207.0ms | (/.f64 (fma.f64 y.re x.im (neg.f64 (*.f64 x.re y.im))) (hypot.f64 y.im y.re)) |
| 21.0ms | (fma.f64 y.re x.im (neg.f64 (*.f64 x.re y.im))) |
| 1× | rewrite-expression-head |
| 42× | add-sqr-sqrt_binary64 |
| 34× | times-frac_binary64 |
| 27× | *-un-lft-identity_binary64 |
| 27× | add-exp-log_binary64 |
| 25× | add-cube-cbrt_binary64 |
3 calls:
| 22.0ms | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (/.f64 (fma.f64 y.re x.im (neg.f64 (*.f64 x.re y.im))) (hypot.f64 y.im y.re))) |
| 5.0ms | (/.f64 (fma.f64 y.re x.im (neg.f64 (*.f64 x.re y.im))) (hypot.f64 y.im y.re)) |
| 1.0ms | (fma.f64 y.re x.im (neg.f64 (*.f64 x.re y.im))) |
| 1× | egg-herbie |
| 746× | times-frac_binary64 |
| 497× | fma-neg_binary64 |
| 251× | associate-/l/_binary64 |
| 227× | fma-def_binary64 |
| 212× | cancel-sign-sub-inv_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 195 | 5939 |
| 1 | 499 | 5126 |
| 2 | 1678 | 5074 |
| 3 | 4555 | 5073 |
| 4 | 4978 | 5073 |
| 5 | 4978 | 5073 |
9 alts after pruning (8 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 218 | 0 | 218 |
| Fresh | 0 | 8 | 8 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 218 | 9 | 227 |
| Status | Error | Program |
| ✓ | 17.3b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (/.f64 (fma.f64 y.re x.im (neg.f64 (*.f64 x.re y.im))) (hypot.f64 y.im y.re))) |
| 27.9b | (/.f64 1 (/.f64 (fma.f64 y.re y.re (*.f64 y.im y.im)) (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)))) | |
| 36.2b | (/.f64 x.im y.re) | |
| 38.5b | (-.f64 (fma.f64 (/.f64 y.re y.im) (/.f64 x.im y.im) (/.f64 (*.f64 x.re (*.f64 y.re y.re)) (pow.f64 y.im 3))) (/.f64 x.re y.im)) | |
| 37.0b | (neg.f64 (/.f64 x.re y.im)) | |
| ▶ | 17.3b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (/.f64 1 (/.f64 (hypot.f64 y.im y.re) (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im))))) |
| 17.5b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (/.f64 (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (sqrt.f64 (hypot.f64 y.im y.re))) (sqrt.f64 (hypot.f64 y.im y.re)))) | |
| 43.8b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (-.f64 (/.f64 (*.f64 x.re y.im) y.re) x.im)) | |
| 27.9b | (/.f64 (+.f64 (fma.f64 x.im y.re (neg.f64 (*.f64 y.im x.re))) (fma.f64 (neg.f64 y.im) x.re (*.f64 y.im x.re))) (fma.f64 y.re y.re (*.f64 y.im y.im))) |
Compiled 5973 to 1596 computations (73.3% saved)
Found 4 expressions with local error:
| New | Error | Program |
| 0.2b | (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) | |
| ✓ | 0.2b | (/.f64 1 (/.f64 (hypot.f64 y.im y.re) (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)))) |
| ✓ | 0.3b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (/.f64 1 (/.f64 (hypot.f64 y.im y.re) (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im))))) |
| ✓ | 16.1b | (/.f64 (hypot.f64 y.im y.re) (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im))) |
3 calls:
| 235.0ms | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (/.f64 1 (/.f64 (hypot.f64 y.im y.re) (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im))))) |
| 209.0ms | (/.f64 1 (/.f64 (hypot.f64 y.im y.re) (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)))) |
| 187.0ms | (/.f64 (hypot.f64 y.im y.re) (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im))) |
| 1× | rewrite-expression-head |
| 199× | times-frac_binary64 |
| 146× | add-sqr-sqrt_binary64 |
| 110× | *-un-lft-identity_binary64 |
| 99× | add-cube-cbrt_binary64 |
| 99× | add-exp-log_binary64 |
3 calls:
| 56.0ms | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (/.f64 1 (/.f64 (hypot.f64 y.im y.re) (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im))))) |
| 18.0ms | (/.f64 1 (/.f64 (hypot.f64 y.im y.re) (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)))) |
| 9.0ms | (/.f64 (hypot.f64 y.im y.re) (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im))) |
| 1× | egg-herbie |
| 455× | times-frac_binary64 |
| 363× | associate-/l*_binary64 |
| 263× | associate-/r*_binary64 |
| 231× | associate-*l*_binary64 |
| 214× | associate-*r*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 378 | 13351 |
| 1 | 1064 | 11363 |
| 2 | 4384 | 11257 |
| 3 | 5146 | 11257 |
10 alts after pruning (8 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 507 | 2 | 509 |
| Fresh | 1 | 6 | 7 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 508 | 10 | 518 |
| Status | Error | Program |
| ✓ | 17.3b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (/.f64 (fma.f64 y.re x.im (neg.f64 (*.f64 x.re y.im))) (hypot.f64 y.im y.re))) |
| 36.2b | (/.f64 x.im y.re) | |
| 17.4b | (pow.f64 (*.f64 (hypot.f64 y.im y.re) (/.f64 (hypot.f64 y.im y.re) (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)))) -1) | |
| 37.0b | (neg.f64 (/.f64 x.re y.im)) | |
| 47.8b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (/.f64 1 (fma.f64 (/.f64 x.re y.re) (/.f64 y.im (*.f64 x.im x.im)) (/.f64 1 x.im)))) | |
| 38.5b | (-.f64 (fma.f64 (/.f64 y.re y.im) (/.f64 x.im y.im) (/.f64 (*.f64 x.re (*.f64 y.re y.re)) (pow.f64 y.im 3))) (/.f64 x.re y.im)) | |
| ✓ | 17.3b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (/.f64 1 (/.f64 (hypot.f64 y.im y.re) (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im))))) |
| 17.5b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (/.f64 (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (sqrt.f64 (hypot.f64 y.im y.re))) (sqrt.f64 (hypot.f64 y.im y.re)))) | |
| 43.8b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (-.f64 (/.f64 (*.f64 x.re y.im) y.re) x.im)) | |
| 27.9b | (/.f64 (+.f64 (fma.f64 x.im y.re (neg.f64 (*.f64 y.im x.re))) (fma.f64 (neg.f64 y.im) x.re (*.f64 y.im x.re))) (fma.f64 y.re y.re (*.f64 y.im y.im))) |
Compiled 16633 to 5259 computations (68.4% saved)
Total 10.6b remaining (83.6%)
Threshold costs 0b (0%)
Compiled 13013 to 7449 computations (42.8% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 10 | 4.220492607566289e+123 | 1.2539043013395607e+136 | 1.846500094027842e+129 |
| 8 | 3.107488801263146e-88 | 1.1196052952513972e-85 | 6.614960636702775e-88 |
| 8 | -1.6749620616680856e-277 | -3.3867836777268165e-282 | -7.25891010860212e-279 |
| 7 | -1.1574424551914318e+180 | -4.53562149755061e+178 | -6.768602245328106e+178 |
Compiled 5 to 4 computations (20% saved)
| 1× | egg-herbie |
| 9× | *-commutative_binary64 |
| 7× | sub-neg_binary64 |
| 6× | +-commutative_binary64 |
| 4× | neg-sub0_binary64 |
| 4× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 107 |
| 1 | 55 | 107 |
| 2 | 67 | 107 |
| 3 | 75 | 107 |
| 4 | 80 | 107 |
| 5 | 81 | 107 |
| 6 | 79 | 107 |
Compiled 77 to 38 computations (50.6% saved)
| 1× | intervals |
| 814.0ms | 8000× | body | 128 | valid |
| 41.0ms | 444× | body | 128 | invalid |
Compiled 299 to 171 computations (42.8% saved)
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