Time bar (total: 11.1s)
| 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)
| 1.2s | 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 |
| ▶ | 28.8b | (/.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)) |
| ✓ | 28.6b | (/.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:
| 166.0ms | (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im))) |
| 15.0ms | (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:
| 4.0ms | (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im))) |
| 1.0ms | (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 |
10 alts after pruning (10 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 85 | 10 | 95 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 86 | 10 | 96 |
| Status | Error | Program |
| ▶ | 17.4b | (*.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))) |
| 35.6b | (+.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)))) | |
| 28.7b | (/.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)))) | |
| 32.1b | (fma.f64 x.im (/.f64 y.im (*.f64 y.re y.re)) (/.f64 x.re y.re)) | |
| 28.8b | (*.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)))) | |
| 36.0b | (/.f64 x.re y.re) | |
| 34.4b | (fma.f64 y.re (/.f64 x.re (*.f64 y.im y.im)) (/.f64 x.im y.im)) | |
| 42.2b | (*.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))) | |
| 17.9b | (*.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))) | |
| 29.2b | (*.f64 (*.f64 (cbrt.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))) (cbrt.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im))))) (cbrt.f64 (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im))))) |
Compiled 2438 to 548 computations (77.5% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (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)) |
| ✓ | 16.7b | (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (hypot.f64 y.im y.re)) |
4 calls:
| 188.0ms | (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (hypot.f64 y.im y.re)) |
| 172.0ms | (*.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))) |
| 19.0ms | (fma.f64 y.im x.im (*.f64 y.re x.re)) |
| 16.0ms | (hypot.f64 y.im y.re) |
| 1× | rewrite-expression-head |
| 43× | add-sqr-sqrt_binary64 |
| 34× | times-frac_binary64 |
| 28× | *-un-lft-identity_binary64 |
| 28× | add-exp-log_binary64 |
| 26× | add-cube-cbrt_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))) |
| 3.0ms | (/.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)) |
| 0.0ms | (hypot.f64 y.im y.re) |
| 1× | egg-herbie |
| 868× | times-frac_binary64 |
| 516× | fma-neg_binary64 |
| 377× | fma-def_binary64 |
| 306× | cancel-sign-sub-inv_binary64 |
| 282× | distribute-rgt-in_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 229 | 5947 |
| 1 | 619 | 5325 |
| 2 | 2094 | 5152 |
| 3 | 4840 | 5152 |
| 4 | 5143 | 5152 |
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 297 | 8 | 305 |
| Fresh | 8 | 1 | 9 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 306 | 9 | 315 |
| Status | Error | Program |
| 31.8b | (fma.f64 (/.f64 x.re y.im) (/.f64 y.re y.im) (/.f64 x.im y.im)) | |
| ▶ | 17.3b | (/.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)) |
| 25.0b | (*.f64 (/.f64 (/.f64 1 (*.f64 (cbrt.f64 (hypot.f64 y.im y.re)) (cbrt.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)) (cbrt.f64 (hypot.f64 y.im y.re)))) | |
| 46.5b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (neg.f64 (fma.f64 (/.f64 x.re y.im) y.re x.im))) | |
| 28.8b | (*.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)))) | |
| 42.3b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (fma.f64 (/.f64 x.re y.im) y.re x.im)) | |
| 17.6b | (*.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)))) | |
| 29.5b | (fma.f64 (/.f64 y.im y.re) (/.f64 x.im y.re) (/.f64 x.re y.re)) | |
| 44.8b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (neg.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re))) |
Compiled 7935 to 2482 computations (68.7% 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)) |
| ✓ | 16.7b | (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (hypot.f64 y.im y.re)) |
3 calls:
| 204.0ms | (/.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)) |
| 179.0ms | (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (hypot.f64 y.im y.re)) |
| 16.0ms | (fma.f64 x.re y.re (*.f64 y.im x.im)) |
| 1× | rewrite-expression-head |
| 84× | times-frac_binary64 |
| 53× | *-un-lft-identity_binary64 |
| 53× | add-sqr-sqrt_binary64 |
| 53× | add-cube-cbrt_binary64 |
| 16× | associate-/l*_binary64 |
3 calls:
| 8.0ms | (/.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)) |
| 4.0ms | (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (hypot.f64 y.im y.re)) |
| 1.0ms | (fma.f64 x.re y.re (*.f64 y.im x.im)) |
| 1× | egg-herbie |
| 701× | times-frac_binary64 |
| 519× | associate-/l*_binary64 |
| 443× | fma-neg_binary64 |
| 384× | associate-/r*_binary64 |
| 364× | associate-/l/_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 221 | 6578 |
| 1 | 537 | 5929 |
| 2 | 1451 | 5628 |
| 3 | 4664 | 5628 |
| 4 | 4986 | 5628 |
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 330 | 5 | 335 |
| Fresh | 6 | 2 | 8 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 336 | 8 | 344 |
| Status | Error | Program |
| 31.8b | (fma.f64 (/.f64 x.re y.im) (/.f64 y.re y.im) (/.f64 x.im y.im)) | |
| ✓ | 17.3b | (/.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)) |
| ▶ | 17.5b | (/.f64 (/.f64 (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (sqrt.f64 (hypot.f64 y.im y.re))) (sqrt.f64 (hypot.f64 y.im y.re))) (hypot.f64 y.im y.re)) |
| 42.3b | (/.f64 (fma.f64 (/.f64 x.re y.im) y.re x.im) (hypot.f64 y.im y.re)) | |
| 46.4b | (/.f64 (neg.f64 (fma.f64 (/.f64 x.re y.im) y.re x.im)) (hypot.f64 y.im y.re)) | |
| 44.7b | (/.f64 (neg.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re)) (hypot.f64 y.im y.re)) | |
| 29.5b | (fma.f64 (/.f64 y.im y.re) (/.f64 x.im y.re) (/.f64 x.re y.re)) | |
| 27.9b | (*.f64 (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) 1) (/.f64 (/.f64 1 (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re))) |
Compiled 8507 to 1947 computations (77.1% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.1b | (/.f64 (/.f64 (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (sqrt.f64 (hypot.f64 y.im y.re))) (sqrt.f64 (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)) | |
| ✓ | 7.9b | (/.f64 (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (sqrt.f64 (hypot.f64 y.im y.re))) (sqrt.f64 (hypot.f64 y.im y.re))) |
| ✓ | 9.0b | (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (sqrt.f64 (hypot.f64 y.im y.re))) |
3 calls:
| 286.0ms | (/.f64 (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (sqrt.f64 (hypot.f64 y.im y.re))) (sqrt.f64 (hypot.f64 y.im y.re))) |
| 236.0ms | (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (sqrt.f64 (hypot.f64 y.im y.re))) |
| 131.0ms | (/.f64 (/.f64 (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (sqrt.f64 (hypot.f64 y.im y.re))) (sqrt.f64 (hypot.f64 y.im y.re))) (hypot.f64 y.im y.re)) |
| 1× | rewrite-expression-head |
| 1644× | times-frac_binary64 |
| 784× | *-un-lft-identity_binary64 |
| 784× | add-sqr-sqrt_binary64 |
| 784× | add-cube-cbrt_binary64 |
| 624× | sqrt-prod_binary64 |
3 calls:
| 48.0ms | (/.f64 (/.f64 (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (sqrt.f64 (hypot.f64 y.im y.re))) (sqrt.f64 (hypot.f64 y.im y.re))) (hypot.f64 y.im y.re)) |
| 16.0ms | (/.f64 (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (sqrt.f64 (hypot.f64 y.im y.re))) (sqrt.f64 (hypot.f64 y.im y.re))) |
| 6.0ms | (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (sqrt.f64 (hypot.f64 y.im y.re))) |
| 1× | egg-herbie |
| 596× | fma-def_binary64 |
| 512× | associate-/r*_binary64 |
| 441× | associate-/l/_binary64 |
| 406× | cancel-sign-sub-inv_binary64 |
| 280× | fma-neg_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 775 | 45265 |
| 1 | 1766 | 42279 |
| 2 | 3450 | 39665 |
| 3 | 4542 | 39014 |
| 4 | 4986 | 39014 |
| 5 | 4953 | 39014 |
8 alts after pruning (6 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1025 | 1 | 1026 |
| Fresh | 1 | 5 | 6 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 1026 | 8 | 1034 |
| Status | Error | Program |
| 31.8b | (fma.f64 (/.f64 x.re y.im) (/.f64 y.re y.im) (/.f64 x.im y.im)) | |
| ✓ | 17.3b | (/.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)) |
| ✓ | 17.5b | (/.f64 (/.f64 (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (sqrt.f64 (hypot.f64 y.im y.re))) (sqrt.f64 (hypot.f64 y.im y.re))) (hypot.f64 y.im y.re)) |
| 42.3b | (/.f64 (fma.f64 (/.f64 x.re y.im) y.re x.im) (hypot.f64 y.im y.re)) | |
| 46.4b | (/.f64 (neg.f64 (fma.f64 (/.f64 x.re y.im) y.re x.im)) (hypot.f64 y.im y.re)) | |
| 44.7b | (/.f64 (neg.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re)) (hypot.f64 y.im y.re)) | |
| 27.9b | (*.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (/.f64 (/.f64 1 (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re))) | |
| 29.5b | (fma.f64 (/.f64 y.im y.re) (/.f64 x.im y.re) (/.f64 x.re y.re)) |
Compiled 41019 to 5437 computations (86.7% saved)
Total 9.5b remaining (97.8%)
Threshold costs 0b (0%)
Compiled 12098 to 6584 computations (45.6% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 9 | 2.3747717619077724e+92 | 7.865607200093191e+99 | 1.7908903707439708e+98 |
| 7 | 9.514026573838576e-131 | 2.6717172040399705e-129 | 8.272481472784187e-130 |
| 10 | -6.075455576341602e-127 | -8.581049049977316e-142 | -3.6283479029046922e-140 |
| 9 | -2.4807475401011038e+103 | -7.293119437331218e+94 | -2.1840157650846506e+101 |
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 | 38 | 116 |
| 1 | 45 | 116 |
| 2 | 49 | 116 |
| 3 | 52 | 116 |
| 4 | 53 | 116 |
| 5 | 53 | 116 |
Compiled 304 to 145 computations (52.3% saved)
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