Time bar (total: 5.4s)
| 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)
| 877.0ms | 8256× | body | 128 | valid |
Compiled 59 to 35 computations (40.7% saved)
| 1× | egg-herbie |
| 1070× | fma-neg_binary64 |
| 881× | fma-def_binary64 |
| 768× | times-frac_binary64 |
| 551× | cancel-sign-sub-inv_binary64 |
| 514× | unsub-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 20 |
| 1 | 25 | 20 |
| 2 | 47 | 20 |
| 3 | 78 | 20 |
| 4 | 149 | 20 |
| 5 | 228 | 20 |
| 6 | 324 | 20 |
| 7 | 500 | 20 |
| 8 | 694 | 20 |
| 9 | 867 | 20 |
| 10 | 999 | 20 |
| 11 | 2422 | 20 |
| 12 | 3920 | 20 |
| 13 | 4950 | 20 |
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 |
| ▶ | 24.7b | (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im))) |
Compiled 69 to 33 computations (52.2% saved)
Found 2 expressions with local error:
| New | Error | Program |
| ✓ | 0.5b | (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) |
| ✓ | 24.4b | (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im))) |
2 calls:
| 97.0ms | (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im))) |
| 9.0ms | (-.f64 (*.f64 x.im y.re) (*.f64 x.re 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.im y.re) (*.f64 x.re y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im))) |
| 3.0ms | (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) |
| 1× | egg-herbie |
| 523× | fma-neg_binary64 |
| 383× | associate-*l*_binary64 |
| 348× | fma-def_binary64 |
| 319× | associate-*r*_binary64 |
| 252× | associate-/l*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 132 | 2762 |
| 1 | 323 | 2614 |
| 2 | 1088 | 2567 |
| 3 | 4398 | 2567 |
| 4 | 4952 | 2567 |
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 104 | 7 | 111 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 105 | 7 | 112 |
| Status | Error | Program |
| 38.4b | (/.f64 x.im y.re) | |
| 36.8b | (-.f64 (fma.f64 (/.f64 y.re y.im) (/.f64 x.im y.im) (/.f64 (*.f64 x.re (*.f64 y.re y.re)) (pow.f64 y.im 3))) (/.f64 x.re y.im)) | |
| 32.1b | (neg.f64 (/.f64 x.re y.im)) | |
| ▶ | 17.7b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (hypot.f64 y.im y.re))) |
| 25.2b | (*.f64 (/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))) (cbrt.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)))) (*.f64 (cbrt.f64 (fma.f64 y.re y.re (*.f64 y.im y.im))) (cbrt.f64 (fma.f64 y.re y.re (*.f64 y.im y.im))))) (/.f64 (cbrt.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))) (cbrt.f64 (fma.f64 y.re y.re (*.f64 y.im y.im))))) | |
| 24.7b | (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im))) | |
| 41.1b | (-.f64 (/.f64 x.im y.re) (fma.f64 (/.f64 x.re y.re) (/.f64 y.im y.re) (/.f64 (*.f64 (*.f64 y.im y.im) x.im) (pow.f64 y.re 3)))) |
Compiled 2831 to 606 computations (78.6% 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 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (hypot.f64 y.im y.re))) |
| ✓ | 0.5b | (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) |
| ✓ | 17.1b | (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (hypot.f64 y.im y.re)) |
4 calls:
| 129.0ms | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (hypot.f64 y.im y.re))) |
| 100.0ms | (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (hypot.f64 y.im y.re)) |
| 23.0ms | (/.f64 1 (hypot.f64 y.im y.re)) |
| 9.0ms | (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) |
| 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:
| 12.0ms | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (hypot.f64 y.im y.re))) |
| 4.0ms | (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (hypot.f64 y.im y.re)) |
| 3.0ms | (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) |
| 2.0ms | (/.f64 1 (hypot.f64 y.im y.re)) |
| 1× | egg-herbie |
| 884× | times-frac_binary64 |
| 524× | fma-def_binary64 |
| 372× | cancel-sign-sub-inv_binary64 |
| 204× | fma-neg_binary64 |
| 186× | sub-neg_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 275 | 6721 |
| 1 | 748 | 5877 |
| 2 | 2556 | 5818 |
| 3 | 5079 | 5818 |
10 alts after pruning (10 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 269 | 6 | 275 |
| Fresh | 2 | 4 | 6 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 272 | 10 | 282 |
| Status | Error | Program |
| 32.1b | (neg.f64 (/.f64 x.re y.im)) | |
| ▶ | 17.5b | (/.f64 (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re)) |
| 41.1b | (-.f64 (/.f64 x.im y.re) (fma.f64 (/.f64 x.re y.re) (/.f64 y.im y.re) (/.f64 (*.f64 (*.f64 y.im y.im) x.im) (pow.f64 y.re 3)))) | |
| 18.2b | (*.f64 (/.f64 (/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im))) (cbrt.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)))) (*.f64 (cbrt.f64 (hypot.f64 y.im y.re)) (cbrt.f64 (hypot.f64 y.im y.re)))) (hypot.f64 y.im y.re)) (/.f64 (cbrt.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im))) (cbrt.f64 (hypot.f64 y.im y.re)))) | |
| 42.4b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (-.f64 (/.f64 (*.f64 y.re x.im) y.im) x.re)) | |
| 38.4b | (/.f64 x.im y.re) | |
| 18.1b | (*.f64 (/.f64 1 (*.f64 (cbrt.f64 (hypot.f64 y.im y.re)) (cbrt.f64 (hypot.f64 y.im y.re)))) (/.f64 (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (hypot.f64 y.im y.re)) (cbrt.f64 (hypot.f64 y.im y.re)))) | |
| 40.6b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (-.f64 x.re (/.f64 (*.f64 y.re x.im) y.im))) | |
| 46.8b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (-.f64 (/.f64 (*.f64 x.re y.im) y.re) x.im)) | |
| 24.7b | (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im))) |
Compiled 7602 to 2295 computations (69.8% saved)
Found 3 expressions with local error:
| New | Error | Program |
| ✓ | 0.1b | (/.f64 (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re)) |
| 0.5b | (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) | |
| 17.1b | (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (hypot.f64 y.im y.re)) |
1 calls:
| 140.0ms | (/.f64 (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re)) |
| 1× | rewrite-expression-head |
| 75× | times-frac_binary64 |
| 43× | *-un-lft-identity_binary64 |
| 43× | add-sqr-sqrt_binary64 |
| 43× | add-cube-cbrt_binary64 |
| 13× | associate-/l*_binary64 |
1 calls:
| 10.0ms | (/.f64 (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re)) |
| 1× | egg-herbie |
| 566× | times-frac_binary64 |
| 497× | fma-neg_binary64 |
| 471× | associate-/l*_binary64 |
| 471× | associate-/l/_binary64 |
| 359× | div-sub_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 189 | 4368 |
| 1 | 440 | 4066 |
| 2 | 1093 | 3872 |
| 3 | 4104 | 3805 |
| 4 | 5309 | 3805 |
10 alts after pruning (9 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 231 | 4 | 235 |
| Fresh | 4 | 5 | 9 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 235 | 10 | 245 |
| Status | Error | Program |
| 32.1b | (neg.f64 (/.f64 x.re y.im)) | |
| ✓ | 17.5b | (/.f64 (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re)) |
| ▶ | 18.1b | (/.f64 (*.f64 (/.f64 1 (*.f64 (cbrt.f64 (hypot.f64 y.im y.re)) (cbrt.f64 (hypot.f64 y.im y.re)))) (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (cbrt.f64 (hypot.f64 y.im y.re)))) (hypot.f64 y.im y.re)) |
| 41.1b | (-.f64 (/.f64 x.im y.re) (fma.f64 (/.f64 x.re y.re) (/.f64 y.im y.re) (/.f64 (*.f64 (*.f64 y.im y.im) x.im) (pow.f64 y.re 3)))) | |
| 42.4b | (/.f64 (-.f64 (/.f64 (*.f64 y.re x.im) y.im) x.re) (hypot.f64 y.im y.re)) | |
| 38.4b | (/.f64 x.im y.re) | |
| 46.7b | (/.f64 (-.f64 (/.f64 (*.f64 x.re y.im) y.re) x.im) (hypot.f64 y.im y.re)) | |
| 40.6b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (-.f64 x.re (/.f64 (*.f64 y.re x.im) y.im))) | |
| 30.1b | (/.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (hypot.f64 y.im y.re)) 3)) (hypot.f64 y.im y.re)) | |
| 24.7b | (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im))) |
Compiled 6397 to 1381 computations (78.4% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.5b | (*.f64 (cbrt.f64 (hypot.f64 y.im y.re)) (cbrt.f64 (hypot.f64 y.im y.re))) |
| ✓ | 0.5b | (cbrt.f64 (hypot.f64 y.im y.re)) |
| ✓ | 6.9b | (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (cbrt.f64 (hypot.f64 y.im y.re))) |
| ✓ | 10.2b | (*.f64 (/.f64 1 (*.f64 (cbrt.f64 (hypot.f64 y.im y.re)) (cbrt.f64 (hypot.f64 y.im y.re)))) (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (cbrt.f64 (hypot.f64 y.im y.re)))) |
4 calls:
| 433.0ms | (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (cbrt.f64 (hypot.f64 y.im y.re))) |
| 115.0ms | (*.f64 (/.f64 1 (*.f64 (cbrt.f64 (hypot.f64 y.im y.re)) (cbrt.f64 (hypot.f64 y.im y.re)))) (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (cbrt.f64 (hypot.f64 y.im y.re)))) |
| 44.0ms | (*.f64 (cbrt.f64 (hypot.f64 y.im y.re)) (cbrt.f64 (hypot.f64 y.im y.re))) |
| 40.0ms | (cbrt.f64 (hypot.f64 y.im y.re)) |
| 1× | rewrite-expression-head |
| 72× | add-sqr-sqrt_binary64 |
| 53× | add-exp-log_binary64 |
| 51× | times-frac_binary64 |
| 46× | *-un-lft-identity_binary64 |
| 43× | cbrt-prod_binary64 |
4 calls:
| 15.0ms | (*.f64 (/.f64 1 (*.f64 (cbrt.f64 (hypot.f64 y.im y.re)) (cbrt.f64 (hypot.f64 y.im y.re)))) (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (cbrt.f64 (hypot.f64 y.im y.re)))) |
| 5.0ms | (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (cbrt.f64 (hypot.f64 y.im y.re))) |
| 4.0ms | (*.f64 (cbrt.f64 (hypot.f64 y.im y.re)) (cbrt.f64 (hypot.f64 y.im y.re))) |
| 2.0ms | (cbrt.f64 (hypot.f64 y.im y.re)) |
| 1× | egg-herbie |
| 429× | associate-*r*_binary64 |
| 371× | fma-neg_binary64 |
| 330× | associate-*l*_binary64 |
| 275× | *-commutative_binary64 |
| 228× | fma-def_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 455 | 10487 |
| 1 | 1296 | 8418 |
| 2 | 4490 | 8227 |
| 3 | 4980 | 8227 |
| 4 | 4989 | 8227 |
| 5 | 4949 | 8227 |
10 alts after pruning (8 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 475 | 0 | 475 |
| Fresh | 0 | 8 | 8 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 475 | 10 | 485 |
| Status | Error | Program |
| 32.1b | (neg.f64 (/.f64 x.re y.im)) | |
| ✓ | 17.5b | (/.f64 (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re)) |
| ✓ | 18.1b | (/.f64 (*.f64 (/.f64 1 (*.f64 (cbrt.f64 (hypot.f64 y.im y.re)) (cbrt.f64 (hypot.f64 y.im y.re)))) (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (cbrt.f64 (hypot.f64 y.im y.re)))) (hypot.f64 y.im y.re)) |
| 41.1b | (-.f64 (/.f64 x.im y.re) (fma.f64 (/.f64 x.re y.re) (/.f64 y.im y.re) (/.f64 (*.f64 (*.f64 y.im y.im) x.im) (pow.f64 y.re 3)))) | |
| 42.4b | (/.f64 (-.f64 (/.f64 (*.f64 y.re x.im) y.im) x.re) (hypot.f64 y.im y.re)) | |
| 38.4b | (/.f64 x.im y.re) | |
| 46.7b | (/.f64 (-.f64 (/.f64 (*.f64 x.re y.im) y.re) x.im) (hypot.f64 y.im y.re)) | |
| 40.6b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (-.f64 x.re (/.f64 (*.f64 y.re x.im) y.im))) | |
| 30.1b | (/.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (hypot.f64 y.im y.re)) 3)) (hypot.f64 y.im y.re)) | |
| 24.7b | (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im))) |
Compiled 18713 to 5659 computations (69.8% saved)
Total 10.1b remaining (83.4%)
Threshold costs 0b (0%)
Compiled 10553 to 5714 computations (45.9% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 7 | 4.0354548311811365e+126 | 5.58930270475422e+128 | 2.8401337548471847e+128 |
| 8 | 7.977234154488967e-103 | 4.551326919586386e-98 | 8.114742458283298e-103 |
| 8 | -8.581413122176708e-299 | -4.677684765432969e-302 | -5.787984791490119e-300 |
| 9 | -1.894972773015628e+86 | -4.0004577221764496e+77 | -4.331249049106995e+81 |
Compiled 5 to 4 computations (20% saved)
| 1× | egg-herbie |
| 12× | +-commutative_binary64 |
| 12× | sub-neg_binary64 |
| 11× | *-commutative_binary64 |
| 9× | neg-sub0_binary64 |
| 8× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 109 |
| 1 | 46 | 109 |
| 2 | 65 | 109 |
| 3 | 84 | 109 |
| 4 | 98 | 109 |
| 5 | 105 | 109 |
| 6 | 107 | 109 |
| 7 | 107 | 109 |
Compiled 333 to 164 computations (50.8% saved)
Loading profile data...