Time bar (total: 7.3s)
| 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)
| 1.2s | 8256× | body | 128 | valid |
| 74.0ms | 535× | 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 |
| ▶ | 23.7b | (/.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 |
| ✓ | 0.3b | (fma.f64 x.re y.re (*.f64 x.im y.im)) |
| ✓ | 23.3b | (/.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:
| 85.0ms | (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im))) |
| 8.0ms | (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:
| 17.0ms | (/.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 |
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 87 | 8 | 95 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 88 | 8 | 96 |
| Status | Error | Program |
| 34.3b | (fma.f64 x.im (/.f64 y.im (*.f64 y.re y.re)) (/.f64 x.re y.re)) | |
| 36.9b | (/.f64 x.re y.re) | |
| 17.1b | (*.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))) | |
| 23.7b | (/.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)))) | |
| 38.4b | (/.f64 x.im y.im) | |
| 24.2b | (/.f64 (/.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))))) (cbrt.f64 (fma.f64 y.re y.re (*.f64 y.im y.im)))) | |
| ▶ | 16.6b | (*.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))) |
| 23.7b | (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (fma.f64 y.re y.re (*.f64 y.im y.im))) |
Compiled 2296 to 494 computations (78.5% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (hypot.f64 y.im y.re) |
| ✓ | 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))) |
| ✓ | 15.5b | (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (hypot.f64 y.im y.re)) |
4 calls:
| 110.0ms | (*.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))) |
| 108.0ms | (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (hypot.f64 y.im y.re)) |
| 85.0ms | (/.f64 1 (hypot.f64 y.im y.re)) |
| 12.0ms | (hypot.f64 y.im y.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 | (hypot.f64 y.im y.re) |
| 1× | egg-herbie |
| 476× | fma-def_binary64 |
| 412× | cancel-sign-sub-inv_binary64 |
| 393× | fma-neg_binary64 |
| 207× | sub-neg_binary64 |
| 191× | distribute-rgt-in_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 268 | 6451 |
| 1 | 737 | 5818 |
| 2 | 2456 | 5629 |
| 3 | 4682 | 5621 |
| 4 | 4988 | 5621 |
| 5 | 4966 | 5621 |
10 alts after pruning (10 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 339 | 9 | 348 |
| Fresh | 6 | 1 | 7 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 346 | 10 | 356 |
| Status | Error | Program |
| ▶ | 16.6b | (*.f64 (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (hypot.f64 y.im y.re)) (/.f64 1 (hypot.f64 y.im y.re))) |
| 44.2b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (neg.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re))) | |
| 44.1b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (neg.f64 x.im)) | |
| 44.3b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (fma.f64 (/.f64 x.re y.im) y.re x.im)) | |
| 16.8b | (*.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)))) | |
| 41.7b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (fma.f64 (/.f64 y.im y.re) x.im x.re)) | |
| 33.1b | (fma.f64 (/.f64 x.re y.im) (/.f64 y.re y.im) (/.f64 x.im y.im)) | |
| 31.3b | (fma.f64 (/.f64 y.im y.re) (/.f64 x.im y.re) (/.f64 x.re y.re)) | |
| 20.0b | (*.f64 (/.f64 (/.f64 1 (sqrt.f64 (hypot.f64 y.im y.re))) (hypot.f64 y.im y.re)) (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (sqrt.f64 (hypot.f64 y.im y.re)))) | |
| 23.7b | (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (fma.f64 y.re y.re (*.f64 y.im y.im))) |
Compiled 9158 to 3033 computations (66.9% saved)
Found 4 expressions with local error:
| New | Error | Program |
| 0.0b | (/.f64 1 (hypot.f64 y.im y.re)) | |
| ✓ | 0.2b | (*.f64 (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (hypot.f64 y.im y.re)) (/.f64 1 (hypot.f64 y.im y.re))) |
| ✓ | 0.3b | (fma.f64 x.re y.re (*.f64 y.im x.im)) |
| ✓ | 15.5b | (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (hypot.f64 y.im y.re)) |
3 calls:
| 107.0ms | (*.f64 (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (hypot.f64 y.im y.re)) (/.f64 1 (hypot.f64 y.im y.re))) |
| 95.0ms | (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (hypot.f64 y.im y.re)) |
| 9.0ms | (fma.f64 x.re y.re (*.f64 y.im x.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:
| 10.0ms | (*.f64 (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (hypot.f64 y.im y.re)) (/.f64 1 (hypot.f64 y.im y.re))) |
| 3.0ms | (/.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 |
| 646× | times-frac_binary64 |
| 645× | associate-/l*_binary64 |
| 455× | fma-neg_binary64 |
| 241× | fma-def_binary64 |
| 224× | cancel-sign-sub-inv_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 184 | 5531 |
| 1 | 494 | 4762 |
| 2 | 1596 | 4605 |
| 3 | 4941 | 4605 |
| 4 | 5262 | 4605 |
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 287 | 1 | 288 |
| Fresh | 1 | 8 | 9 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 289 | 9 | 298 |
| Status | Error | Program |
| 44.1b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (neg.f64 x.im)) | |
| 44.3b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (fma.f64 (/.f64 x.re y.im) y.re x.im)) | |
| ▶ | 16.8b | (*.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)))) |
| 41.7b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (fma.f64 (/.f64 y.im y.re) x.im x.re)) | |
| 23.7b | (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (*.f64 (hypot.f64 y.im y.re) (hypot.f64 y.im y.re))) | |
| 33.1b | (fma.f64 (/.f64 x.re y.im) (/.f64 y.re y.im) (/.f64 x.im y.im)) | |
| 31.3b | (fma.f64 (/.f64 y.im y.re) (/.f64 x.im y.re) (/.f64 x.re y.re)) | |
| 44.2b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (neg.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re))) | |
| 20.0b | (*.f64 (/.f64 (/.f64 1 (sqrt.f64 (hypot.f64 y.im y.re))) (hypot.f64 y.im y.re)) (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (sqrt.f64 (hypot.f64 y.im y.re)))) |
Compiled 7409 to 2227 computations (69.9% saved)
Found 4 expressions with local error:
| New | Error | Program |
| 0.3b | (fma.f64 x.re y.re (*.f64 y.im x.im)) | |
| ✓ | 0.3b | (/.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))) |
| ✓ | 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)))) |
| 15.5b | (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (hypot.f64 y.im y.re)) |
2 calls:
| 241.0ms | (/.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))) |
| 134.0ms | (*.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)))) |
| 1× | rewrite-expression-head |
| 341× | times-frac_binary64 |
| 251× | add-sqr-sqrt_binary64 |
| 171× | *-un-lft-identity_binary64 |
| 161× | add-cube-cbrt_binary64 |
| 110× | sqrt-prod_binary64 |
2 calls:
| 35.0ms | (*.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)))) |
| 6.0ms | (/.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))) |
| 1× | egg-herbie |
| 736× | fma-def_binary64 |
| 303× | cancel-sign-sub-inv_binary64 |
| 289× | associate-*l/_binary64 |
| 273× | associate-/l*_binary64 |
| 270× | associate-/l/_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 374 | 15294 |
| 1 | 1014 | 12775 |
| 2 | 3198 | 12653 |
| 3 | 4540 | 12653 |
| 4 | 5063 | 12653 |
9 alts after pruning (8 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 512 | 2 | 514 |
| Fresh | 2 | 6 | 8 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 514 | 9 | 523 |
| Status | Error | Program |
| 44.3b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (fma.f64 (/.f64 x.re y.im) y.re x.im)) | |
| ✓ | 16.8b | (*.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)))) |
| 23.7b | (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (*.f64 (hypot.f64 y.im y.re) (hypot.f64 y.im y.re))) | |
| 41.8b | (*.f64 (/.f64 1 (sqrt.f64 (hypot.f64 y.im y.re))) (/.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re) (sqrt.f64 (hypot.f64 y.im y.re)))) | |
| 44.1b | (*.f64 (/.f64 1 (sqrt.f64 (hypot.f64 y.im y.re))) (/.f64 (neg.f64 x.im) (sqrt.f64 (hypot.f64 y.im y.re)))) | |
| 33.1b | (fma.f64 (/.f64 x.re y.im) (/.f64 y.re y.im) (/.f64 x.im y.im)) | |
| 31.3b | (fma.f64 (/.f64 y.im y.re) (/.f64 x.im y.re) (/.f64 x.re y.re)) | |
| 44.2b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (neg.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re))) | |
| 20.0b | (*.f64 (/.f64 (/.f64 1 (sqrt.f64 (hypot.f64 y.im y.re))) (hypot.f64 y.im y.re)) (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (sqrt.f64 (hypot.f64 y.im y.re)))) |
Compiled 18534 to 3877 computations (79.1% saved)
Total 10.6b remaining (98.3%)
Threshold costs 0b (0%)
Compiled 15793 to 8509 computations (46.1% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 6 | 4.736540780035276e+114 | 4.989109541383205e+115 | 3.6928906212212155e+115 |
| 7 | 3.559551160767353e-66 | 1.2488211763571394e-64 | 3.893486015778443e-66 |
| 8 | -1.0592995119089323e-122 | -1.0521748428297923e-125 | -1.1787479681689879e-125 |
| 4 | -9.235502145661662e+148 | -5.0843124959565825e+148 | -7.798094340522651e+148 |
Compiled 5 to 4 computations (20% saved)
| 1× | egg-herbie |
| 4× | *-commutative_binary64 |
| 1× | *-rgt-identity_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 117 |
| 1 | 48 | 117 |
| 2 | 47 | 117 |
Compiled 343 to 173 computations (49.6% saved)
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