Time bar (total: 5.8s)
| 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 |
| 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)
| 1.1s | 8256× | body | 128 | valid |
| 62.0ms | 511× | body | 128 | invalid |
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 |
| ▶ | 27.6b | (/.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 3 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (fma.f64 y.re y.re (*.f64 y.im y.im)) |
| ✓ | 0.0b | (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) |
| ✓ | 27.1b | (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im))) |
3 calls:
| 84.0ms | (/.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)) |
| 6.0ms | (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:
| 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)) |
| 0.0ms | (fma.f64 y.re y.re (*.f64 y.im 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 | 136 | 3054 |
| 1 | 326 | 2877 |
| 2 | 1095 | 2830 |
| 3 | 4407 | 2830 |
| 4 | 4995 | 2830 |
| 5 | 4946 | 2830 |
10 alts after pruning (10 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 125 | 10 | 135 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 126 | 10 | 136 |
| Status | Error | Program |
| 27.6b | (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (*.f64 (hypot.f64 y.im y.re) (hypot.f64 y.im y.re))) | |
| 39.7b | (-.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)) | |
| 27.5b | (/.f64 (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (hypot.f64 y.im y.re)) (sqrt.f64 (fma.f64 y.re y.re (*.f64 y.im y.im)))) | |
| 40.0b | (cbrt.f64 (*.f64 (*.f64 (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im))) (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))) (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im))))) | |
| 40.2b | (neg.f64 (/.f64 x.re y.im)) | |
| 27.6b | (*.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (/.f64 1 (fma.f64 y.re y.re (*.f64 y.im y.im)))) | |
| 44.5b | (/.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) 3)) (fma.f64 y.re y.re (*.f64 y.im y.im))) | |
| ▶ | 17.5b | (*.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))) |
| 36.1b | (-.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)))) | |
| 36.8b | (/.f64 x.im y.re) |
Compiled 3360 to 742 computations (77.9% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (/.f64 1 (hypot.f64 y.im y.re)) |
| ✓ | 0.0b | (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) |
| ✓ | 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))) |
| ✓ | 16.3b | (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (hypot.f64 y.im y.re)) |
4 calls:
| 104.0ms | (*.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))) |
| 96.0ms | (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (hypot.f64 y.im y.re)) |
| 18.0ms | (/.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:
| 10.0ms | (*.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))) |
| 6.0ms | (/.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 |
| 365× | 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 |
12 alts after pruning (12 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 268 | 7 | 275 |
| Fresh | 4 | 5 | 9 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 273 | 12 | 285 |
| Status | Error | Program |
| ▶ | 17.3b | (/.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)) |
| 33.9b | (-.f64 (/.f64 x.im y.re) (/.f64 (*.f64 x.re y.im) (*.f64 y.re y.re))) | |
| 27.6b | (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (*.f64 (hypot.f64 y.im y.re) (hypot.f64 y.im y.re))) | |
| 39.7b | (-.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)) | |
| 17.6b | (*.f64 (/.f64 1 (sqrt.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)) (sqrt.f64 (hypot.f64 y.im y.re)))) | |
| 40.2b | (neg.f64 (/.f64 x.re y.im)) | |
| 17.4b | (/.f64 (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im))) (hypot.f64 y.im y.re)) | |
| 27.6b | (*.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (/.f64 1 (fma.f64 y.re y.re (*.f64 y.im y.im)))) | |
| 46.5b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) x.re) | |
| 44.1b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (neg.f64 x.im)) | |
| 36.1b | (-.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)))) | |
| 46.3b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (neg.f64 x.re)) |
Compiled 7610 to 2331 computations (69.4% saved)
Found 3 expressions with local error:
| New | Error | Program |
| 0.0b | (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) | |
| ✓ | 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)) |
| 16.3b | (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (hypot.f64 y.im y.re)) |
1 calls:
| 99.0ms | (/.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:
| 6.0ms | (/.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 |
11 alts after pruning (10 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 232 | 3 | 235 |
| Fresh | 4 | 7 | 11 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 236 | 11 | 247 |
| Status | Error | Program |
| ✓ | 17.3b | (/.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)) |
| 33.9b | (-.f64 (/.f64 x.im y.re) (/.f64 (*.f64 x.re y.im) (*.f64 y.re y.re))) | |
| 27.6b | (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (*.f64 (hypot.f64 y.im y.re) (hypot.f64 y.im y.re))) | |
| 39.7b | (-.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)) | |
| 43.3b | (/.f64 (-.f64 (/.f64 (*.f64 x.re y.im) y.re) x.im) (hypot.f64 y.im y.re)) | |
| 17.6b | (*.f64 (/.f64 1 (sqrt.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)) (sqrt.f64 (hypot.f64 y.im y.re)))) | |
| 46.4b | (/.f64 x.re (hypot.f64 y.im y.re)) | |
| ▶ | 17.4b | (/.f64 (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im))) (hypot.f64 y.im y.re)) |
| 27.6b | (*.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (/.f64 1 (fma.f64 y.re y.re (*.f64 y.im y.im)))) | |
| 46.2b | (/.f64 (neg.f64 x.re) (hypot.f64 y.im y.re)) | |
| 36.1b | (-.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 6449 to 1411 computations (78.1% saved)
Found 4 expressions with local error:
| New | Error | Program |
| 0.0b | (/.f64 1 (hypot.f64 y.im y.re)) | |
| 0.0b | (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) | |
| ✓ | 0.1b | (/.f64 (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im))) (hypot.f64 y.im y.re)) |
| ✓ | 16.5b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im))) |
2 calls:
| 98.0ms | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im))) |
| 97.0ms | (/.f64 (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im))) (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:
| 9.0ms | (/.f64 (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im))) (hypot.f64 y.im y.re)) |
| 8.0ms | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im))) |
| 1× | egg-herbie |
| 508× | fma-def_binary64 |
| 434× | associate-/l/_binary64 |
| 342× | fma-neg_binary64 |
| 251× | cancel-sign-sub-inv_binary64 |
| 228× | distribute-rgt-in_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 212 | 4849 |
| 1 | 574 | 4060 |
| 2 | 2124 | 3988 |
| 3 | 4763 | 3986 |
| 4 | 4983 | 3986 |
| 5 | 4942 | 3986 |
11 alts after pruning (9 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 275 | 0 | 275 |
| Fresh | 0 | 9 | 9 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 275 | 11 | 286 |
| Status | Error | Program |
| ✓ | 17.3b | (/.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)) |
| 33.9b | (-.f64 (/.f64 x.im y.re) (/.f64 (*.f64 x.re y.im) (*.f64 y.re y.re))) | |
| 27.6b | (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (*.f64 (hypot.f64 y.im y.re) (hypot.f64 y.im y.re))) | |
| 39.7b | (-.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)) | |
| 43.3b | (/.f64 (-.f64 (/.f64 (*.f64 x.re y.im) y.re) x.im) (hypot.f64 y.im y.re)) | |
| 17.6b | (*.f64 (/.f64 1 (sqrt.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)) (sqrt.f64 (hypot.f64 y.im y.re)))) | |
| 46.4b | (/.f64 x.re (hypot.f64 y.im y.re)) | |
| ✓ | 17.4b | (/.f64 (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im))) (hypot.f64 y.im y.re)) |
| 27.6b | (*.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (/.f64 1 (fma.f64 y.re y.re (*.f64 y.im y.im)))) | |
| 46.2b | (/.f64 (neg.f64 x.re) (hypot.f64 y.im y.re)) | |
| 36.1b | (-.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 7041 to 2305 computations (67.3% saved)
Total 9.3b remaining (83.7%)
Threshold costs 0b (0%)
Compiled 14238 to 8029 computations (43.6% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 6 | 8.814912888856409e+114 | 1.0956645416915016e+116 | 9.404920977360152e+115 |
| 7 | 5.4178372222264666e-148 | 3.4505738353189185e-146 | 7.65422322254339e-148 |
| 9 | -2.5297655491628054e-100 | -1.4597024894819825e-106 | -1.4818093018118505e-106 |
| 7 | -3.2411715011111546e+146 | -2.9608330447315637e+144 | -5.506291912962585e+144 |
Compiled 5 to 4 computations (20% saved)
| 1× | egg-herbie |
| 12× | +-commutative_binary64 |
| 12× | sub-neg_binary64 |
| 9× | *-commutative_binary64 |
| 7× | neg-sub0_binary64 |
| 7× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 122 |
| 1 | 52 | 122 |
| 2 | 77 | 122 |
| 3 | 91 | 122 |
| 4 | 99 | 122 |
| 5 | 100 | 122 |
| 6 | 100 | 122 |
Compiled 377 to 187 computations (50.4% saved)
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