Time bar (total: 5.6s)
| 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 |
| 64.0ms | 498× | 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 |
| 1× | saturated |
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 1 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 1 | 2 | 3 |
| Status | Error | Program |
| ▶ | 26.7b | (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) |
Compiled 70 to 36 computations (48.6% saved)
Found 2 expressions with local error:
| New | Error | Program |
| ✓ | 0.2b | (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) |
| ✓ | 26.2b | (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) |
2 calls:
| 66.0ms | (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) |
| 8.0ms | (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) |
| 1× | batch-egg-rewrite |
| 506× | fma-def_binary64 |
| 244× | fma-neg_binary64 |
| 239× | expm1-udef_binary64 |
| 239× | log1p-udef_binary64 |
| 134× | add-sqr-sqrt_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 26 |
| 1 | 264 | 25 |
| 2 | 3782 | 25 |
| 1× | node limit |
2 calls:
| 54.0ms | (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) |
| 54.0ms | (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) |
| 1× | egg-herbie |
| 608× | associate-*l/_binary64 |
| 519× | fma-def_binary64 |
| 455× | associate-/r/_binary64 |
| 341× | fma-neg_binary64 |
| 284× | associate-/l/_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 1626 |
| 1 | 114 | 1542 |
| 2 | 358 | 1458 |
| 3 | 1828 | 1410 |
| 1× | node limit |
7 alts after pruning (6 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 113 | 6 | 119 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 113 | 7 | 120 |
| Status | Error | Program |
| 19.8b | (*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) 2) (hypot.f64 y.re y.im)) (/.f64 (cbrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) (hypot.f64 y.re y.im))) | |
| 35.7b | (/.f64 x.re y.re) | |
| ▶ | 19.3b | (*.f64 (/.f64 1 (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))) |
| ✓ | 26.7b | (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) |
| 37.2b | (/.f64 x.im y.im) | |
| 23.2b | (fma.f64 x.im (/.f64 y.im (fma.f64 y.im y.im (*.f64 y.re y.re))) (*.f64 (/.f64 y.re (fma.f64 y.im y.im (*.f64 y.re y.re))) x.re)) | |
| 38.7b | (pow.f64 (/.f64 (sqrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) (hypot.f64 y.re y.im)) 2) |
Compiled 2522 to 802 computations (68.2% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (fma.f64 x.re y.re (*.f64 x.im y.im)) |
| ✓ | 0.0b | (hypot.f64 y.re y.im) |
| ✓ | 0.3b | (*.f64 (/.f64 1 (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))) |
| ✓ | 17.9b | (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)) |
4 calls:
| 88.0ms | (*.f64 (/.f64 1 (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))) |
| 78.0ms | (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)) |
| 11.0ms | (fma.f64 x.re y.re (*.f64 x.im y.im)) |
| 9.0ms | (hypot.f64 y.re y.im) |
| 1× | batch-egg-rewrite |
| 614× | log-prod_binary64 |
| 254× | prod-diff_binary64 |
| 213× | expm1-udef_binary64 |
| 213× | log1p-udef_binary64 |
| 200× | log-pow_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 46 |
| 1 | 246 | 43 |
| 2 | 3155 | 43 |
| 1× | node limit |
4 calls:
| 58.0ms | (fma.f64 x.re y.re (*.f64 x.im y.im)) |
| 58.0ms | (hypot.f64 y.re y.im) |
| 58.0ms | (*.f64 (/.f64 1 (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))) |
| 58.0ms | (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)) |
| 1× | egg-herbie |
| 585× | times-frac_binary64 |
| 422× | associate-/l*_binary64 |
| 319× | fma-def_binary64 |
| 314× | associate-/r*_binary64 |
| 293× | cancel-sign-sub-inv_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 114 | 3496 |
| 1 | 373 | 3040 |
| 2 | 1300 | 2876 |
| 1× | node limit |
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 295 | 6 | 301 |
| Fresh | 4 | 1 | 5 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 300 | 8 | 308 |
| Status | Error | Program |
| ▶ | 19.3b | (/.f64 (/.f64 1 (hypot.f64 y.re y.im)) (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.re y.re (*.f64 x.im y.im)))) |
| 45.0b | (*.f64 (/.f64 1 (hypot.f64 y.re y.im)) (fma.f64 (*.f64 (/.f64 x.re y.re) (*.f64 (/.f64 y.im y.re) y.im)) -1/2 (fma.f64 (/.f64 y.im y.re) x.im x.re))) | |
| 44.1b | (*.f64 (/.f64 1 (hypot.f64 y.re y.im)) (neg.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re))) | |
| ✓ | 26.7b | (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) |
| 44.5b | (*.f64 (/.f64 1 (hypot.f64 y.re y.im)) (fma.f64 (/.f64 x.re y.im) y.re x.im)) | |
| 23.2b | (fma.f64 x.im (/.f64 y.im (fma.f64 y.im y.im (*.f64 y.re y.re))) (*.f64 (/.f64 y.re (fma.f64 y.im y.im (*.f64 y.re y.re))) x.re)) | |
| 31.1b | (fma.f64 (/.f64 y.im y.re) (/.f64 x.im y.re) (/.f64 x.re y.re)) | |
| 32.4b | (fma.f64 (/.f64 y.re y.im) (/.f64 x.re y.im) (/.f64 x.im y.im)) |
Compiled 6919 to 2567 computations (62.9% saved)
Found 4 expressions with local error:
| New | Error | Program |
| 0.0b | (fma.f64 x.re y.re (*.f64 x.im y.im)) | |
| 0.0b | (hypot.f64 y.re y.im) | |
| ✓ | 0.3b | (/.f64 (/.f64 1 (hypot.f64 y.re y.im)) (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.re y.re (*.f64 x.im y.im)))) |
| ✓ | 17.9b | (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.re y.re (*.f64 x.im y.im))) |
2 calls:
| 86.0ms | (/.f64 (/.f64 1 (hypot.f64 y.re y.im)) (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.re y.re (*.f64 x.im y.im)))) |
| 51.0ms | (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.re y.re (*.f64 x.im y.im))) |
| 1× | batch-egg-rewrite |
| 281× | prod-diff_binary64 |
| 221× | expm1-udef_binary64 |
| 221× | log1p-udef_binary64 |
| 207× | log-pow_binary64 |
| 127× | add-sqr-sqrt_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 37 |
| 1 | 252 | 31 |
| 2 | 3382 | 31 |
| 1× | node limit |
2 calls:
| 58.0ms | (/.f64 (/.f64 1 (hypot.f64 y.re y.im)) (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.re y.re (*.f64 x.im y.im)))) |
| 58.0ms | (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.re y.re (*.f64 x.im y.im))) |
| 1× | egg-herbie |
| 534× | cancel-sign-sub-inv_binary64 |
| 533× | fma-def_binary64 |
| 280× | associate-/l/_binary64 |
| 239× | times-frac_binary64 |
| 239× | fma-neg_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 137 | 3924 |
| 1 | 511 | 3324 |
| 2 | 2362 | 3100 |
| 1× | node limit |
8 alts after pruning (6 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 291 | 0 | 291 |
| Fresh | 0 | 6 | 6 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 291 | 8 | 299 |
| Status | Error | Program |
| ✓ | 19.3b | (/.f64 (/.f64 1 (hypot.f64 y.re y.im)) (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.re y.re (*.f64 x.im y.im)))) |
| 45.0b | (*.f64 (/.f64 1 (hypot.f64 y.re y.im)) (fma.f64 (*.f64 (/.f64 x.re y.re) (*.f64 (/.f64 y.im y.re) y.im)) -1/2 (fma.f64 (/.f64 y.im y.re) x.im x.re))) | |
| 44.1b | (*.f64 (/.f64 1 (hypot.f64 y.re y.im)) (neg.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re))) | |
| ✓ | 26.7b | (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) |
| 44.5b | (*.f64 (/.f64 1 (hypot.f64 y.re y.im)) (fma.f64 (/.f64 x.re y.im) y.re x.im)) | |
| ▶ | 23.2b | (fma.f64 x.im (/.f64 y.im (fma.f64 y.im y.im (*.f64 y.re y.re))) (*.f64 (/.f64 y.re (fma.f64 y.im y.im (*.f64 y.re y.re))) x.re)) |
| 31.1b | (fma.f64 (/.f64 y.im y.re) (/.f64 x.im y.re) (/.f64 x.re y.re)) | |
| 32.4b | (fma.f64 (/.f64 y.re y.im) (/.f64 x.re y.im) (/.f64 x.im y.im)) |
Compiled 7591 to 3177 computations (58.1% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 1.2b | (fma.f64 x.im (/.f64 y.im (fma.f64 y.im y.im (*.f64 y.re y.re))) (*.f64 (/.f64 y.re (fma.f64 y.im y.im (*.f64 y.re y.re))) x.re)) |
| ✓ | 4.0b | (*.f64 (/.f64 y.re (fma.f64 y.im y.im (*.f64 y.re y.re))) x.re) |
| ✓ | 17.0b | (/.f64 y.re (fma.f64 y.im y.im (*.f64 y.re y.re))) |
| ✓ | 18.5b | (/.f64 y.im (fma.f64 y.im y.im (*.f64 y.re y.re))) |
4 calls:
| 115.0ms | (fma.f64 x.im (/.f64 y.im (fma.f64 y.im y.im (*.f64 y.re y.re))) (*.f64 (/.f64 y.re (fma.f64 y.im y.im (*.f64 y.re y.re))) x.re)) |
| 60.0ms | (*.f64 (/.f64 y.re (fma.f64 y.im y.im (*.f64 y.re y.re))) x.re) |
| 15.0ms | (/.f64 y.im (fma.f64 y.im y.im (*.f64 y.re y.re))) |
| 12.0ms | (/.f64 y.re (fma.f64 y.im y.im (*.f64 y.re y.re))) |
| 1× | batch-egg-rewrite |
| 359× | prod-diff_binary64 |
| 210× | expm1-udef_binary64 |
| 210× | log1p-udef_binary64 |
| 195× | log-pow_binary64 |
| 117× | egg-rr |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 64 |
| 1 | 229 | 59 |
| 2 | 3067 | 59 |
| 1× | node limit |
4 calls:
| 62.0ms | (fma.f64 x.im (/.f64 y.im (fma.f64 y.im y.im (*.f64 y.re y.re))) (*.f64 (/.f64 y.re (fma.f64 y.im y.im (*.f64 y.re y.re))) x.re)) |
| 62.0ms | (*.f64 (/.f64 y.re (fma.f64 y.im y.im (*.f64 y.re y.re))) x.re) |
| 62.0ms | (/.f64 y.re (fma.f64 y.im y.im (*.f64 y.re y.re))) |
| 62.0ms | (/.f64 y.im (fma.f64 y.im y.im (*.f64 y.re y.re))) |
| 1× | egg-herbie |
| 443× | times-frac_binary64 |
| 364× | associate-/l*_binary64 |
| 310× | sub-neg_binary64 |
| 301× | associate-/r*_binary64 |
| 279× | cancel-sign-sub-inv_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 110 | 3318 |
| 1 | 281 | 3210 |
| 2 | 891 | 3069 |
| 3 | 4633 | 3069 |
| 1× | node limit |
8 alts after pruning (5 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 183 | 0 | 183 |
| Fresh | 0 | 5 | 5 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 183 | 8 | 191 |
| Status | Error | Program |
| ✓ | 19.3b | (/.f64 (/.f64 1 (hypot.f64 y.re y.im)) (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.re y.re (*.f64 x.im y.im)))) |
| 45.0b | (*.f64 (/.f64 1 (hypot.f64 y.re y.im)) (fma.f64 (*.f64 (/.f64 x.re y.re) (*.f64 (/.f64 y.im y.re) y.im)) -1/2 (fma.f64 (/.f64 y.im y.re) x.im x.re))) | |
| 44.1b | (*.f64 (/.f64 1 (hypot.f64 y.re y.im)) (neg.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re))) | |
| ✓ | 26.7b | (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) |
| 44.5b | (*.f64 (/.f64 1 (hypot.f64 y.re y.im)) (fma.f64 (/.f64 x.re y.im) y.re x.im)) | |
| ✓ | 23.2b | (fma.f64 x.im (/.f64 y.im (fma.f64 y.im y.im (*.f64 y.re y.re))) (*.f64 (/.f64 y.re (fma.f64 y.im y.im (*.f64 y.re y.re))) x.re)) |
| 31.1b | (fma.f64 (/.f64 y.im y.re) (/.f64 x.im y.re) (/.f64 x.re y.re)) | |
| 32.4b | (fma.f64 (/.f64 y.re y.im) (/.f64 x.re y.im) (/.f64 x.im y.im)) |
Compiled 4693 to 1876 computations (60% saved)
Total 10.8b remaining (98.7%)
Threshold costs 0b (0%)
Compiled 11803 to 7189 computations (39.1% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 4 | 3.5965325781940086e+140 | 5.90931478180851e+140 | 3.6360166068854995e+140 |
| 9 | 2.634451215286903e-71 | 3.60595376629138e-65 | 2.670610561569208e-71 |
| 8 | -2.4141280899525958e-105 | -1.8387138583883085e-108 | -1.1965629553159867e-107 |
| 10 | -1.1215020233833144e+95 | -3.5217700334405997e+83 | -1.1090419202097725e+95 |
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 | 43 | 121 |
| 1 | 52 | 121 |
| 2 | 59 | 119 |
| 3 | 66 | 119 |
| 4 | 69 | 119 |
| 5 | 70 | 119 |
| 1× | saturated |
Compiled 325 to 168 computations (48.3% saved)
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