Time bar (total: 5.9s)
| 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× | intervals |
| 14.0ms | 256× | body | 128 | valid |
| 1.0ms | 13× | body | 128 | invalid |
Compiled 43 to 27 computations (37.2% 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 |
| ▶ | 27.6b | (/.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)) |
| ✓ | 0.3b | (fma.f64 x.re y.re (*.f64 x.im y.im)) |
| ✓ | 27.2b | (/.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 y.re y.re (*.f64 y.im y.im)) |
| 9.0ms | (fma.f64 x.re y.re (*.f64 x.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 |
10 alts after pruning (10 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 109 | 10 | 119 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 110 | 10 | 120 |
| Status | Error | Program |
| 27.6b | (/.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 y.re (/.f64 x.re (*.f64 y.im y.im)) (/.f64 x.im y.im)) | |
| 19.2b | (*.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))) | |
| 34.9b | (/.f64 x.im y.im) | |
| 41.6b | (*.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))) | |
| 25.9b | (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)))) | |
| 38.8b | (/.f64 (*.f64 y.im x.im) (fma.f64 y.im y.im (*.f64 y.re y.re))) | |
| 40.9b | (cbrt.f64 (pow.f64 (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (fma.f64 y.im y.im (*.f64 y.re y.re))) 3)) | |
| ▶ | 18.7b | (*.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))) |
| 38.3b | (/.f64 x.re y.re) |
Compiled 2749 to 598 computations (78.2% saved)
Found 3 expressions with local error:
| New | Error | Program |
| ✓ | 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))) |
| ✓ | 0.3b | (fma.f64 y.im x.im (*.f64 y.re x.re)) |
| ✓ | 17.5b | (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (hypot.f64 y.im y.re)) |
3 calls:
| 108.0ms | (*.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))) |
| 101.0ms | (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (hypot.f64 y.im y.re)) |
| 12.0ms | (fma.f64 y.im x.im (*.f64 y.re x.re)) |
| 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:
| 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 (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 |
| 735× | times-frac_binary64 |
| 339× | fma-neg_binary64 |
| 266× | distribute-rgt-in_binary64 |
| 259× | fma-def_binary64 |
| 254× | distribute-lft-in_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 186 | 5547 |
| 1 | 490 | 4784 |
| 2 | 1686 | 4627 |
| 3 | 4606 | 4609 |
| 4 | 4975 | 4609 |
| 5 | 4994 | 4609 |
| 6 | 4978 | 4609 |
10 alts after pruning (10 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 213 | 8 | 221 |
| Fresh | 7 | 2 | 9 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 221 | 10 | 231 |
| Status | Error | Program |
| 42.0b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (neg.f64 (fma.f64 (/.f64 x.re y.im) y.re x.im))) | |
| 41.6b | (*.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))) | |
| 42.2b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (fma.f64 (/.f64 x.re y.im) y.re x.im)) | |
| 32.1b | (fma.f64 y.re (/.f64 x.re (*.f64 y.im y.im)) (/.f64 x.im y.im)) | |
| ▶ | 18.6b | (/.f64 (*.f64 1 (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (hypot.f64 y.im y.re))) (hypot.f64 y.im y.re)) |
| 28.8b | (fma.f64 (/.f64 x.re y.im) (/.f64 y.re y.im) (/.f64 x.im y.im)) | |
| 27.6b | (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (*.f64 (hypot.f64 y.im y.re) (hypot.f64 y.im y.re))) | |
| 35.2b | (fma.f64 (/.f64 y.im y.re) (/.f64 x.im y.re) (/.f64 x.re y.re)) | |
| 24.8b | (*.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)))) | |
| 18.8b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (*.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (/.f64 1 (hypot.f64 y.im y.re)))) |
Compiled 5801 to 1585 computations (72.7% saved)
Found 3 expressions with local error:
| New | Error | Program |
| ✓ | 0.1b | (/.f64 (*.f64 1 (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (hypot.f64 y.im y.re))) (hypot.f64 y.im y.re)) |
| 0.3b | (fma.f64 y.im x.im (*.f64 y.re x.re)) | |
| 17.5b | (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (hypot.f64 y.im y.re)) |
1 calls:
| 165.0ms | (/.f64 (*.f64 1 (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (hypot.f64 y.im y.re))) (hypot.f64 y.im y.re)) |
| 1× | rewrite-expression-head |
| 15× | add-exp-log_binary64 |
| 10× | add-cbrt-cube_binary64 |
| 7× | div-exp_binary64 |
| 4× | cbrt-undiv_binary64 |
| 4× | prod-exp_binary64 |
1 calls:
| 8.0ms | (/.f64 (*.f64 1 (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (hypot.f64 y.im y.re))) (hypot.f64 y.im y.re)) |
| 1× | egg-herbie |
| 659× | fma-def_binary64 |
| 559× | fma-neg_binary64 |
| 468× | times-frac_binary64 |
| 356× | associate-/l*_binary64 |
| 257× | distribute-rgt-neg-in_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 100 | 2092 |
| 1 | 242 | 1844 |
| 2 | 785 | 1742 |
| 3 | 2939 | 1724 |
| 4 | 4729 | 1688 |
| 5 | 5137 | 1688 |
10 alts after pruning (9 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 171 | 1 | 172 |
| Fresh | 1 | 8 | 9 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 172 | 10 | 182 |
| Status | Error | Program |
| 42.2b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (fma.f64 (/.f64 x.re y.im) y.re x.im)) | |
| 32.1b | (fma.f64 y.re (/.f64 x.re (*.f64 y.im y.im)) (/.f64 x.im y.im)) | |
| ✓ | 18.6b | (/.f64 (*.f64 1 (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (hypot.f64 y.im y.re))) (hypot.f64 y.im y.re)) |
| 28.8b | (fma.f64 (/.f64 x.re y.im) (/.f64 y.re y.im) (/.f64 x.im y.im)) | |
| 27.6b | (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (*.f64 (hypot.f64 y.im y.re) (hypot.f64 y.im y.re))) | |
| 35.2b | (fma.f64 (/.f64 y.im y.re) (/.f64 x.im y.re) (/.f64 x.re y.re)) | |
| 41.6b | (*.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))) | |
| 24.8b | (*.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)))) | |
| ▶ | 18.8b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (*.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (/.f64 1 (hypot.f64 y.im y.re)))) |
| 42.0b | (/.f64 (*.f64 1 (neg.f64 (fma.f64 (/.f64 x.re y.im) y.re x.im))) (hypot.f64 y.im y.re)) |
Compiled 4238 to 1308 computations (69.1% saved)
Found 3 expressions with local error:
| New | Error | Program |
| ✓ | 0.3b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (*.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (/.f64 1 (hypot.f64 y.im y.re)))) |
| 0.3b | (fma.f64 y.im x.im (*.f64 y.re x.re)) | |
| ✓ | 17.6b | (*.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (/.f64 1 (hypot.f64 y.im y.re))) |
2 calls:
| 112.0ms | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (*.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (/.f64 1 (hypot.f64 y.im y.re)))) |
| 97.0ms | (*.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (/.f64 1 (hypot.f64 y.im y.re))) |
| 1× | rewrite-expression-head |
| 76× | add-exp-log_binary64 |
| 40× | prod-exp_binary64 |
| 28× | add-cbrt-cube_binary64 |
| 24× | add-sqr-sqrt_binary64 |
| 20× | times-frac_binary64 |
2 calls:
| 8.0ms | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (*.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (/.f64 1 (hypot.f64 y.im y.re)))) |
| 5.0ms | (*.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (/.f64 1 (hypot.f64 y.im y.re))) |
| 1× | egg-herbie |
| 587× | times-frac_binary64 |
| 514× | associate-/l*_binary64 |
| 433× | fma-neg_binary64 |
| 289× | associate-/r*_binary64 |
| 238× | fma-def_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 169 | 4931 |
| 1 | 423 | 4101 |
| 2 | 1391 | 3932 |
| 3 | 4788 | 3932 |
| 4 | 5102 | 3932 |
10 alts after pruning (8 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 213 | 0 | 213 |
| Fresh | 0 | 8 | 8 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 213 | 10 | 223 |
| Status | Error | Program |
| 42.2b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (fma.f64 (/.f64 x.re y.im) y.re x.im)) | |
| 32.1b | (fma.f64 y.re (/.f64 x.re (*.f64 y.im y.im)) (/.f64 x.im y.im)) | |
| ✓ | 18.6b | (/.f64 (*.f64 1 (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (hypot.f64 y.im y.re))) (hypot.f64 y.im y.re)) |
| 28.8b | (fma.f64 (/.f64 x.re y.im) (/.f64 y.re y.im) (/.f64 x.im y.im)) | |
| 27.6b | (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (*.f64 (hypot.f64 y.im y.re) (hypot.f64 y.im y.re))) | |
| 35.2b | (fma.f64 (/.f64 y.im y.re) (/.f64 x.im y.re) (/.f64 x.re y.re)) | |
| 41.6b | (*.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))) | |
| 24.8b | (*.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)))) | |
| ✓ | 18.8b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (*.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (/.f64 1 (hypot.f64 y.im y.re)))) |
| 42.0b | (/.f64 (*.f64 1 (neg.f64 (fma.f64 (/.f64 x.re y.im) y.re x.im))) (hypot.f64 y.im y.re)) |
Compiled 5344 to 1884 computations (64.7% saved)
Total 9.9b remaining (98.2%)
Threshold costs 0b (0%)
Compiled 13943 to 7719 computations (44.6% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 9 | 4.000848255003141e+114 | 6.70304819586867e+123 | 1.5945253184501813e+119 |
| 8 | 5.942567891796037e-131 | 3.3981579973716382e-127 | 5.0503981640593735e-129 |
| 9 | -1.0809643918353936e-146 | -9.428601981592874e-155 | -4.914157784902541e-154 |
| 7 | -3.5031277533538224e+81 | -2.7252440438352698e+79 | -1.5835790079768928e+81 |
Compiled 5 to 4 computations (20% saved)
| 1× | egg-herbie |
| 5× | *-commutative_binary64 |
| 3× | +-commutative_binary64 |
| 3× | neg-sub0_binary64 |
| 3× | neg-mul-1_binary64 |
| 2× | *-lft-identity_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 110 |
| 1 | 47 | 110 |
| 2 | 52 | 110 |
| 3 | 55 | 110 |
| 4 | 57 | 110 |
| 5 | 58 | 110 |
| 6 | 56 | 110 |
Compiled 80 to 33 computations (58.8% saved)
| 1× | intervals |
| 670.0ms | 8000× | body | 128 | valid |
| 25.0ms | 494× | body | 128 | invalid |
Compiled 297 to 151 computations (49.2% saved)
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