Time bar (total: 6.8s)
| 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 |
| 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)
| 799.0ms | 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 |
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 2 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 3 | 3 |
| Status | Error | Program |
| 25.9b | (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im))) | |
| ▶ | 25.9b | (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) |
Compiled 104 to 54 computations (48.1% saved)
Found 2 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) |
| ✓ | 25.6b | (/.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:
| 81.0ms | (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) |
| 10.0ms | (+.f64 (*.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:
| 6.0ms | (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) |
| 3.0ms | (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) |
| 1× | egg-herbie |
| 472× | associate-*l*_binary64 |
| 412× | fma-def_binary64 |
| 396× | associate-*r*_binary64 |
| 349× | times-frac_binary64 |
| 329× | fma-neg_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 121 | 2682 |
| 1 | 341 | 2585 |
| 2 | 1168 | 2501 |
| 3 | 4542 | 2489 |
| 4 | 4947 | 2489 |
| 5 | 4982 | 2489 |
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 103 | 5 | 108 |
| Fresh | 1 | 0 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 105 | 5 | 110 |
| Status | Error | Program |
| 33.8b | (fma.f64 (/.f64 y.im y.re) (/.f64 x.im y.re) (/.f64 x.re y.re)) | |
| 26.4b | (*.f64 (/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))) (cbrt.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)))) (*.f64 (cbrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) (cbrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))))) (/.f64 (cbrt.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))) (cbrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))))) | |
| 28.2b | (fma.f64 (/.f64 y.re y.im) (/.f64 x.re y.im) (/.f64 x.im y.im)) | |
| 25.7b | (fma.f64 (/.f64 y.im (fma.f64 y.im y.im (*.f64 y.re y.re))) x.im (/.f64 (*.f64 y.re x.re) (fma.f64 y.im y.im (*.f64 y.re y.re)))) | |
| ▶ | 17.9b | (*.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 2822 to 541 computations (80.8% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (/.f64 1 (hypot.f64 y.im y.re)) |
| ✓ | 0.0b | (fma.f64 y.im x.im (*.f64 y.re x.re)) |
| ✓ | 0.3b | (*.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))) |
| ✓ | 17.3b | (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (hypot.f64 y.im y.re)) |
4 calls:
| 104.0ms | (*.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))) |
| 103.0ms | (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (hypot.f64 y.im y.re)) |
| 20.0ms | (/.f64 1 (hypot.f64 y.im y.re)) |
| 8.0ms | (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))) |
| 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 | (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 |
7 alts after pruning (6 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 282 | 3 | 285 |
| Fresh | 1 | 3 | 4 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 283 | 7 | 290 |
| Status | Error | Program |
| 33.8b | (fma.f64 (/.f64 y.im y.re) (/.f64 x.im y.re) (/.f64 x.re y.re)) | |
| 46.7b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (neg.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re))) | |
| 28.2b | (fma.f64 (/.f64 y.re y.im) (/.f64 x.re y.im) (/.f64 x.im y.im)) | |
| 18.0b | (*.f64 (*.f64 (sqrt.f64 (/.f64 1 (hypot.f64 y.im y.re))) (sqrt.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))) | |
| 25.7b | (fma.f64 (/.f64 y.im (fma.f64 y.im y.im (*.f64 y.re y.re))) x.im (/.f64 (*.f64 y.re x.re) (fma.f64 y.im y.im (*.f64 y.re y.re)))) | |
| ▶ | 17.8b | (/.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)) |
| ✓ | 17.9b | (*.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 7306 to 2176 computations (70.2% saved)
Found 3 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (fma.f64 x.re y.re (*.f64 y.im x.im)) |
| ✓ | 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)) |
| ✓ | 17.3b | (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (hypot.f64 y.im y.re)) |
3 calls:
| 99.0ms | (/.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)) |
| 96.0ms | (/.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 |
| 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:
| 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)) |
| 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 |
7 alts after pruning (5 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 250 | 1 | 251 |
| Fresh | 1 | 4 | 5 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 251 | 7 | 258 |
| Status | Error | Program |
| 33.8b | (fma.f64 (/.f64 y.im y.re) (/.f64 x.im y.re) (/.f64 x.re y.re)) | |
| 46.7b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (neg.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re))) | |
| 28.2b | (fma.f64 (/.f64 y.re y.im) (/.f64 x.re y.im) (/.f64 x.im y.im)) | |
| 18.1b | (/.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))))) | |
| ▶ | 18.0b | (*.f64 (*.f64 (sqrt.f64 (/.f64 1 (hypot.f64 y.im y.re))) (sqrt.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))) |
| ✓ | 17.8b | (/.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)) |
| ✓ | 17.9b | (*.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 6477 to 1201 computations (81.5% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.1b | (sqrt.f64 (/.f64 1 (hypot.f64 y.im y.re))) |
| ✓ | 0.3b | (*.f64 (*.f64 (sqrt.f64 (/.f64 1 (hypot.f64 y.im y.re))) (sqrt.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))) |
| ✓ | 0.4b | (*.f64 (sqrt.f64 (/.f64 1 (hypot.f64 y.im y.re))) (sqrt.f64 (/.f64 1 (hypot.f64 y.im y.re)))) |
| 17.3b | (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (hypot.f64 y.im y.re)) |
3 calls:
| 103.0ms | (*.f64 (*.f64 (sqrt.f64 (/.f64 1 (hypot.f64 y.im y.re))) (sqrt.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))) |
| 24.0ms | (*.f64 (sqrt.f64 (/.f64 1 (hypot.f64 y.im y.re))) (sqrt.f64 (/.f64 1 (hypot.f64 y.im y.re)))) |
| 22.0ms | (sqrt.f64 (/.f64 1 (hypot.f64 y.im y.re))) |
| 1× | rewrite-expression-head |
| 132× | add-sqr-sqrt_binary64 |
| 95× | sqrt-prod_binary64 |
| 89× | times-frac_binary64 |
| 68× | *-un-lft-identity_binary64 |
| 49× | add-cube-cbrt_binary64 |
3 calls:
| 18.0ms | (*.f64 (*.f64 (sqrt.f64 (/.f64 1 (hypot.f64 y.im y.re))) (sqrt.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))) |
| 12.0ms | (*.f64 (sqrt.f64 (/.f64 1 (hypot.f64 y.im y.re))) (sqrt.f64 (/.f64 1 (hypot.f64 y.im y.re)))) |
| 2.0ms | (sqrt.f64 (/.f64 1 (hypot.f64 y.im y.re))) |
| 1× | egg-herbie |
| 958× | times-frac_binary64 |
| 358× | cancel-sign-sub-inv_binary64 |
| 358× | fma-def_binary64 |
| 245× | associate-*l*_binary64 |
| 199× | fma-neg_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 274 | 5744 |
| 1 | 639 | 5237 |
| 2 | 2262 | 5055 |
| 3 | 4814 | 5055 |
| 4 | 4974 | 5055 |
7 alts after pruning (4 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 431 | 0 | 431 |
| Fresh | 0 | 4 | 4 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 431 | 7 | 438 |
| Status | Error | Program |
| 33.8b | (fma.f64 (/.f64 y.im y.re) (/.f64 x.im y.re) (/.f64 x.re y.re)) | |
| 46.7b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (neg.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re))) | |
| 28.2b | (fma.f64 (/.f64 y.re y.im) (/.f64 x.re y.im) (/.f64 x.im y.im)) | |
| 18.1b | (/.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))))) | |
| ✓ | 18.0b | (*.f64 (*.f64 (sqrt.f64 (/.f64 1 (hypot.f64 y.im y.re))) (sqrt.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))) |
| ✓ | 17.8b | (/.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)) |
| ✓ | 17.9b | (*.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 13717 to 5491 computations (60% saved)
Total 10.0b remaining (98.1%)
Threshold costs 0b (0%)
Compiled 24779 to 13237 computations (46.6% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 6 | 3.049032678034964e+76 | 2.748169300587671e+77 | 2.050130680515523e+77 |
| 9 | -4.677684765432969e-302 | -2.772761058196398e-307 | -3.6480508373439315e-304 |
| 7 | -2.5814516884498723e-28 | -8.631760532516668e-30 | -4.650358285454888e-29 |
| 9 | -2.296980759982771e+136 | -2.377027144023158e+131 | -2.6364804888683188e+131 |
Compiled 5 to 4 computations (20% saved)
| 1× | egg-herbie |
| 3× | *-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 | 32 | 108 |
| 1 | 38 | 108 |
| 2 | 42 | 108 |
| 3 | 45 | 108 |
| 4 | 46 | 108 |
| 5 | 46 | 108 |
Compiled 289 to 134 computations (53.6% saved)
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