Time bar (total: 6.3s)
| 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 |
| 64.0ms | 522× | 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 |
| ▶ | 28.3b | (/.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 3 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (fma.f64 y.re y.re (*.f64 y.im y.im)) |
| ✓ | 0.5b | (fma.f64 x.re y.re (*.f64 x.im y.im)) |
| ✓ | 27.8b | (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im))) |
3 calls:
| 87.0ms | (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im))) |
| 9.0ms | (fma.f64 x.re y.re (*.f64 x.im y.im)) |
| 7.0ms | (fma.f64 y.re y.re (*.f64 y.im y.im)) |
| 1× | rewrite-expression-head |
| 11× | *-un-lft-identity_binary64 |
| 11× | add-sqr-sqrt_binary64 |
| 11× | add-cube-cbrt_binary64 |
| 9× | times-frac_binary64 |
| 5× | add-cbrt-cube_binary64 |
3 calls:
| 2.0ms | (/.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 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 | 102 | 2836 |
| 1 | 205 | 2674 |
| 2 | 613 | 2590 |
| 3 | 2201 | 2542 |
| 4 | 5123 | 2542 |
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 111 | 8 | 119 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 112 | 8 | 120 |
| Status | Error | Program |
| 28.7b | (/.f64 1 (/.f64 (fma.f64 y.re y.re (*.f64 y.im y.im)) (fma.f64 x.re y.re (*.f64 x.im y.im)))) | |
| 27.3b | (fma.f64 x.im (/.f64 y.im (fma.f64 y.im y.im (*.f64 y.re y.re))) (/.f64 (*.f64 y.re x.re) (fma.f64 y.im y.im (*.f64 y.re y.re)))) | |
| ▶ | 17.7b | (*.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))) |
| 40.4b | (*.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))) | |
| 37.6b | (/.f64 x.re y.re) | |
| 28.7b | (*.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)))) (/.f64 (cbrt.f64 (fma.f64 y.im x.im (*.f64 y.re x.re))) (fma.f64 y.im y.im (*.f64 y.re y.re)))) | |
| 18.2b | (*.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))) | |
| 35.6b | (/.f64 x.im y.im) |
Compiled 2715 to 564 computations (79.2% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 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))) |
| ✓ | 0.3b | (fma.f64 y.im x.im (*.f64 y.re x.re)) |
| ✓ | 16.6b | (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (hypot.f64 y.im y.re)) |
4 calls:
| 231.0ms | (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (hypot.f64 y.im y.re)) |
| 152.0ms | (*.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))) |
| 20.0ms | (/.f64 1 (hypot.f64 y.im y.re)) |
| 9.0ms | (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 |
10 alts after pruning (10 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 277 | 8 | 285 |
| Fresh | 5 | 2 | 7 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 283 | 10 | 293 |
| Status | Error | Program |
| 32.9b | (fma.f64 (/.f64 y.im y.re) (/.f64 x.im y.re) (/.f64 x.re y.re)) | |
| 46.1b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (neg.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re))) | |
| 30.7b | (fma.f64 (/.f64 x.re y.im) (/.f64 y.re y.im) (/.f64 x.im y.im)) | |
| 43.2b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (fma.f64 (/.f64 y.im y.re) x.im x.re)) | |
| 27.3b | (fma.f64 x.im (/.f64 y.im (fma.f64 y.im y.im (*.f64 y.re y.re))) (/.f64 (*.f64 y.re x.re) (fma.f64 y.im y.im (*.f64 y.re y.re)))) | |
| 41.1b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (neg.f64 (fma.f64 (/.f64 x.re y.im) y.re x.im))) | |
| 45.8b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (fma.f64 (/.f64 x.re y.im) y.re x.im)) | |
| ▶ | 17.6b | (/.f64 (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (fma.f64 y.im x.im (*.f64 y.re x.re))) (hypot.f64 y.im y.re)) |
| 40.4b | (*.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))) | |
| 34.6b | (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (hypot.f64 y.im y.re) 3))) (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (hypot.f64 y.im y.re))) |
Compiled 7432 to 2247 computations (69.8% saved)
Found 4 expressions with local error:
| New | Error | Program |
| 0.0b | (/.f64 1 (hypot.f64 y.im y.re)) | |
| ✓ | 0.1b | (/.f64 (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (fma.f64 y.im x.im (*.f64 y.re x.re))) (hypot.f64 y.im y.re)) |
| 0.3b | (fma.f64 y.im x.im (*.f64 y.re x.re)) | |
| ✓ | 16.7b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (fma.f64 y.im x.im (*.f64 y.re x.re))) |
2 calls:
| 119.0ms | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (fma.f64 y.im x.im (*.f64 y.re x.re))) |
| 117.0ms | (/.f64 (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (fma.f64 y.im x.im (*.f64 y.re x.re))) (hypot.f64 y.im y.re)) |
| 1× | rewrite-expression-head |
| 26× | add-exp-log_binary64 |
| 19× | add-sqr-sqrt_binary64 |
| 16× | add-cbrt-cube_binary64 |
| 14× | times-frac_binary64 |
| 13× | associate-*l*_binary64 |
2 calls:
| 8.0ms | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (fma.f64 y.im x.im (*.f64 y.re x.re))) |
| 6.0ms | (/.f64 (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (fma.f64 y.im x.im (*.f64 y.re x.re))) (hypot.f64 y.im y.re)) |
| 1× | egg-herbie |
| 452× | associate-/r*_binary64 |
| 413× | fma-neg_binary64 |
| 396× | associate-/l/_binary64 |
| 377× | associate-*l/_binary64 |
| 272× | associate-/r/_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 165 | 4277 |
| 1 | 447 | 3558 |
| 2 | 1581 | 3392 |
| 3 | 4313 | 3392 |
| 4 | 4787 | 3380 |
| 5 | 4975 | 3380 |
10 alts after pruning (9 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 245 | 3 | 248 |
| Fresh | 3 | 6 | 9 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 248 | 10 | 258 |
| Status | Error | Program |
| 32.9b | (fma.f64 (/.f64 y.im y.re) (/.f64 x.im y.re) (/.f64 x.re y.re)) | |
| 41.0b | (/.f64 (neg.f64 (fma.f64 (/.f64 x.re y.im) y.re x.im)) (hypot.f64 y.im y.re)) | |
| 30.7b | (fma.f64 (/.f64 x.re y.im) (/.f64 y.re y.im) (/.f64 x.im y.im)) | |
| 43.2b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (fma.f64 (/.f64 y.im y.re) x.im x.re)) | |
| ▶ | 27.3b | (fma.f64 x.im (/.f64 y.im (fma.f64 y.im y.im (*.f64 y.re y.re))) (/.f64 (*.f64 y.re x.re) (fma.f64 y.im y.im (*.f64 y.re y.re)))) |
| 41.1b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (neg.f64 (fma.f64 (/.f64 x.re y.im) y.re x.im))) | |
| 45.8b | (/.f64 (fma.f64 (/.f64 x.re y.im) y.re x.im) (hypot.f64 y.im y.re)) | |
| ✓ | 17.6b | (/.f64 (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (fma.f64 y.im x.im (*.f64 y.re x.re))) (hypot.f64 y.im y.re)) |
| 34.6b | (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (hypot.f64 y.im y.re) 3))) (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (hypot.f64 y.im y.re))) | |
| 46.0b | (/.f64 (neg.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re)) (hypot.f64 y.im y.re)) |
Compiled 6005 to 2101 computations (65% saved)
Found 3 expressions with local error:
| New | Error | Program |
| ✓ | 1.0b | (fma.f64 x.im (/.f64 y.im (fma.f64 y.im y.im (*.f64 y.re y.re))) (/.f64 (*.f64 y.re x.re) (fma.f64 y.im y.im (*.f64 y.re y.re)))) |
| ✓ | 17.8b | (/.f64 (*.f64 y.re x.re) (fma.f64 y.im y.im (*.f64 y.re y.re))) |
| ✓ | 19.5b | (/.f64 y.im (fma.f64 y.im y.im (*.f64 y.re y.re))) |
3 calls:
| 153.0ms | (fma.f64 x.im (/.f64 y.im (fma.f64 y.im y.im (*.f64 y.re y.re))) (/.f64 (*.f64 y.re x.re) (fma.f64 y.im y.im (*.f64 y.re y.re)))) |
| 76.0ms | (/.f64 (*.f64 y.re x.re) (fma.f64 y.im y.im (*.f64 y.re y.re))) |
| 18.0ms | (/.f64 y.im (fma.f64 y.im y.im (*.f64 y.re y.re))) |
| 1× | rewrite-expression-head |
| 13× | *-un-lft-identity_binary64 |
| 13× | add-sqr-sqrt_binary64 |
| 13× | add-cube-cbrt_binary64 |
| 12× | times-frac_binary64 |
| 10× | add-cbrt-cube_binary64 |
3 calls:
| 4.0ms | (/.f64 y.im (fma.f64 y.im y.im (*.f64 y.re y.re))) |
| 3.0ms | (/.f64 (*.f64 y.re x.re) (fma.f64 y.im y.im (*.f64 y.re y.re))) |
| 0.0ms | (fma.f64 x.im (/.f64 y.im (fma.f64 y.im y.im (*.f64 y.re y.re))) (/.f64 (*.f64 y.re x.re) (fma.f64 y.im y.im (*.f64 y.re y.re)))) |
| 1× | egg-herbie |
| 794× | associate-/l*_binary64 |
| 792× | times-frac_binary64 |
| 348× | fma-neg_binary64 |
| 266× | associate-/l/_binary64 |
| 249× | associate-/r/_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 190 | 4060 |
| 1 | 417 | 3810 |
| 2 | 1360 | 3705 |
| 3 | 4679 | 3705 |
| 4 | 4978 | 3705 |
10 alts after pruning (8 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 126 | 1 | 127 |
| Fresh | 1 | 7 | 8 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 127 | 10 | 137 |
| Status | Error | Program |
| 32.9b | (fma.f64 (/.f64 y.im y.re) (/.f64 x.im y.re) (/.f64 x.re y.re)) | |
| 41.0b | (/.f64 (neg.f64 (fma.f64 (/.f64 x.re y.im) y.re x.im)) (hypot.f64 y.im y.re)) | |
| 34.6b | (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (hypot.f64 y.im y.re) 3))) (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (hypot.f64 y.im y.re))) | |
| 16.3b | (fma.f64 x.im (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (/.f64 y.im (hypot.f64 y.im y.re))) (/.f64 (*.f64 y.re x.re) (fma.f64 y.im y.im (*.f64 y.re y.re)))) | |
| ✓ | 27.3b | (fma.f64 x.im (/.f64 y.im (fma.f64 y.im y.im (*.f64 y.re y.re))) (/.f64 (*.f64 y.re x.re) (fma.f64 y.im y.im (*.f64 y.re y.re)))) |
| 41.1b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (neg.f64 (fma.f64 (/.f64 x.re y.im) y.re x.im))) | |
| 45.8b | (/.f64 (fma.f64 (/.f64 x.re y.im) y.re x.im) (hypot.f64 y.im y.re)) | |
| ✓ | 17.6b | (/.f64 (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (fma.f64 y.im x.im (*.f64 y.re x.re))) (hypot.f64 y.im y.re)) |
| 30.7b | (fma.f64 (/.f64 x.re y.im) (/.f64 y.re y.im) (/.f64 x.im y.im)) | |
| 46.0b | (/.f64 (neg.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re)) (hypot.f64 y.im y.re)) |
Compiled 3622 to 891 computations (75.4% saved)
Total 9.7b remaining (98.6%)
Threshold costs 0b (0%)
Compiled 12988 to 7124 computations (45.1% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 4 | 1.692022742019915e+74 | 2.5387965997623655e+74 | 2.0239716542008994e+74 |
| 8 | 4.812386682816453e-191 | 1.35069832035464e-187 | 2.4931419272764682e-188 |
| 9 | -4.089620379425553e-202 | -6.562693399937995e-208 | -1.6582334715314313e-202 |
| 10 | -4.8312289074190325e+129 | -4.211897310136303e+119 | -4.3415508871296396e+126 |
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 341 to 162 computations (52.5% saved)
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