Time bar (total: 13.6s)
| 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 |
| 9.4% | 90.4% | 0.2% | 6 |
| 17.2% | 82.7% | 0.2% | 7 |
| 19.5% | 80.3% | 0.2% | 8 |
| 30.8% | 69% | 0.2% | 9 |
| 35.5% | 64.3% | 0.2% | 10 |
| 42.4% | 57.4% | 0.2% | 11 |
| 47.1% | 52.7% | 0.2% | 12 |
| 48.9% | 50.9% | 0.2% | 13 |
| 50% | 49.7% | 0.2% | 14 |
Compiled 42 to 20 computations (52.4% saved)
| 2.7s | 2620× | body | 1024 | invalid |
| 1.9s | 7862× | body | 128 | valid |
| 636.0ms | 946× | body | 512 | invalid |
| 256.0ms | 192× | body | 1024 | valid |
| 239.0ms | 172× | body | 2048 | invalid |
| 144.0ms | 333× | body | 256 | invalid |
| 126.0ms | 535× | body | 128 | invalid |
| 78.0ms | 121× | body | 512 | valid |
| 31.0ms | 72× | body | 256 | valid |
| 13.0ms | 9× | body | 2048 | valid |
Compiled 125 to 59 computations (52.8% saved)
| 1× | egg-herbie |
| 892× | unswap-sqr_binary64 |
| 461× | associate-/l*_binary64 |
| 323× | associate-/r*_binary64 |
| 296× | associate-*l/_binary64 |
| 286× | associate-*r/_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 40 |
| 1 | 39 | 38 |
| 2 | 70 | 38 |
| 3 | 118 | 38 |
| 4 | 263 | 38 |
| 5 | 996 | 38 |
| 6 | 3043 | 38 |
| 7 | 4085 | 38 |
| 8 | 4541 | 38 |
| 9 | 4866 | 38 |
| 10 | 4932 | 38 |
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 |
| ▶ | 7.9b | (*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) |
| 31.0b | (*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))) |
Compiled 206 to 96 computations (53.4% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.2b | (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))) |
| ✓ | 1.2b | (*.f64 (atan2.f64 x.im x.re) y.im) |
| ✓ | 1.8b | (*.f64 y.re (atan2.f64 x.im x.re)) |
| ✓ | 31.2b | (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) |
4 calls:
| 319.0ms | (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))) |
| 103.0ms | (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) |
| 7.0ms | (*.f64 y.re (atan2.f64 x.im x.re)) |
| 7.0ms | (*.f64 (atan2.f64 x.im x.re) y.im) |
| 1× | rewrite-expression-head |
| 12× | add-sqr-sqrt_binary64 |
| 8× | *-un-lft-identity_binary64 |
| 8× | add-cube-cbrt_binary64 |
| 8× | add-cbrt-cube_binary64 |
| 8× | add-exp-log_binary64 |
4 calls:
| 3.0ms | (*.f64 (atan2.f64 x.im x.re) y.im) |
| 3.0ms | (*.f64 y.re (atan2.f64 x.im x.re)) |
| 1.0ms | (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) |
| 0.0ms | (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))) |
| 1× | egg-herbie |
| 433× | associate-*r*_binary64 |
| 296× | sub-neg_binary64 |
| 295× | fma-neg_binary64 |
| 279× | fma-def_binary64 |
| 278× | associate-*l*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 424 | 5775 |
| 1 | 1273 | 5176 |
| 2 | 4198 | 5164 |
| 3 | 4994 | 5164 |
| 4 | 4931 | 5164 |
12 alts after pruning (12 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 174 | 11 | 185 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 175 | 12 | 187 |
| Status | Error | Program |
| 33.8b | (*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 (sqrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) (sqrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))) | |
| 41.9b | (*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (-.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 (log.f64 (/.f64 -1 x.im)) y.im)))) | |
| 35.0b | (*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (cbrt.f64 (pow.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re))) 3)))) | |
| 22.7b | (*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (cbrt.f64 (*.f64 (*.f64 (*.f64 y.re y.re) y.re) (*.f64 (*.f64 (atan2.f64 x.im x.re) (atan2.f64 x.im x.re)) (atan2.f64 x.im x.re))))))) | |
| 20.7b | (*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (expm1.f64 (log1p.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))) | |
| 31.0b | (*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))) | |
| 8.5b | (*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 (*.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))) | |
| 38.3b | (*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (fma.f64 (log.f64 x.im) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) | |
| 8.4b | (*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 (*.f64 (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))) (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))) | |
| 18.0b | (*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (cbrt.f64 (pow.f64 (sin.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))) 3))) | |
| ▶ | 7.9b | (*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.im))))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) |
| 37.8b | (*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (sqrt.f64 y.re) (*.f64 (sqrt.f64 y.re) (atan2.f64 x.im x.re)))))) |
Compiled 9783 to 3312 computations (66.1% saved)
Found 4 expressions with local error:
| New | Error | Program |
| 1.2b | (*.f64 (atan2.f64 x.im x.re) y.im) | |
| 1.8b | (*.f64 y.re (atan2.f64 x.im x.re)) | |
| ✓ | 7.1b | (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) |
| 31.2b | (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) |
1 calls:
| 812.0ms | (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) |
| 1× | rewrite-expression-head |
| 1× | *-un-lft-identity_binary64 |
| 1× | add-sqr-sqrt_binary64 |
| 1× | cbrt-prod_binary64 |
| 1× | add-cube-cbrt_binary64 |
| 1× | add-cbrt-cube_binary64 |
1 calls:
| 2.0ms | (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) |
| 1× | egg-herbie |
| 622× | log-prod_binary64 |
| 528× | associate-*l*_binary64 |
| 522× | fma-neg_binary64 |
| 384× | distribute-rgt-in_binary64 |
| 381× | associate-*r*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 501 |
| 1 | 72 | 501 |
| 2 | 125 | 495 |
| 3 | 291 | 471 |
| 4 | 821 | 471 |
| 5 | 3990 | 471 |
| 6 | 5058 | 471 |
13 alts after pruning (13 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 235 | 2 | 237 |
| Fresh | 0 | 11 | 11 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 236 | 13 | 249 |
| Status | Error | Program |
| 33.8b | (*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 (sqrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) (sqrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))) | |
| 41.9b | (*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (-.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 (log.f64 (/.f64 -1 x.im)) y.im)))) | |
| 35.0b | (*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (cbrt.f64 (pow.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re))) 3)))) | |
| 22.7b | (*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (cbrt.f64 (*.f64 (*.f64 (*.f64 y.re y.re) y.re) (*.f64 (*.f64 (atan2.f64 x.im x.re) (atan2.f64 x.im x.re)) (atan2.f64 x.im x.re))))))) | |
| ▶ | 7.9b | (*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.im))))))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) |
| 20.7b | (*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (expm1.f64 (log1p.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))) | |
| 31.0b | (*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))) | |
| 8.5b | (*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 (*.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))) | |
| 38.3b | (*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (fma.f64 (log.f64 x.im) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) | |
| 8.4b | (*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 (*.f64 (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))) (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))) | |
| 18.0b | (*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (cbrt.f64 (pow.f64 (sin.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))) 3))) | |
| 7.9b | (*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (cbrt.f64 (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))) (cbrt.f64 (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.im))))))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) | |
| 37.8b | (*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (sqrt.f64 y.re) (*.f64 (sqrt.f64 y.re) (atan2.f64 x.im x.re)))))) |
Compiled 14551 to 3348 computations (77% saved)
Found 4 expressions with local error:
| New | Error | Program |
| 1.8b | (*.f64 y.re (atan2.f64 x.im x.re)) | |
| ✓ | 7.1b | (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))) |
| 7.1b | (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) | |
| 31.2b | (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) |
1 calls:
| 846.0ms | (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))) |
| 1× | rewrite-expression-head |
| 1× | *-un-lft-identity_binary64 |
| 1× | add-sqr-sqrt_binary64 |
| 1× | rem-cbrt-cube_binary64 |
| 1× | pow3_binary64 |
| 1× | cbrt-prod_binary64 |
1 calls:
| 5.0ms | (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))) |
| 1× | egg-herbie |
| 622× | log-prod_binary64 |
| 529× | associate-*l*_binary64 |
| 522× | fma-neg_binary64 |
| 384× | distribute-rgt-in_binary64 |
| 381× | associate-*r*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 525 |
| 1 | 73 | 515 |
| 2 | 126 | 509 |
| 3 | 290 | 485 |
| 4 | 822 | 485 |
| 5 | 3991 | 485 |
| 6 | 5059 | 485 |
13 alts after pruning (13 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 206 | 2 | 208 |
| Fresh | 1 | 11 | 12 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 208 | 13 | 221 |
| Status | Error | Program |
| 33.8b | (*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 (sqrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) (sqrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))) | |
| 41.9b | (*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (-.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 (log.f64 (/.f64 -1 x.im)) y.im)))) | |
| 35.0b | (*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (cbrt.f64 (pow.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re))) 3)))) | |
| 22.7b | (*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (cbrt.f64 (*.f64 (*.f64 (*.f64 y.re y.re) y.re) (*.f64 (*.f64 (atan2.f64 x.im x.re) (atan2.f64 x.im x.re)) (atan2.f64 x.im x.re))))))) | |
| 8.4b | (*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 (*.f64 (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))) (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))) | |
| ▶ | 7.9b | (*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.im))))) (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.im))))))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) |
| 20.7b | (*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (expm1.f64 (log1p.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))) | |
| 31.0b | (*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))) | |
| 8.5b | (*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 (*.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))) | |
| 38.3b | (*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (fma.f64 (log.f64 x.im) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) | |
| 18.0b | (*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (cbrt.f64 (pow.f64 (sin.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))) 3))) | |
| 37.8b | (*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (sqrt.f64 y.re) (*.f64 (sqrt.f64 y.re) (atan2.f64 x.im x.re)))))) | |
| 7.9b | (*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (cbrt.f64 (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))) (cbrt.f64 (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.im))))) (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.im))))))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) |
Compiled 16261 to 3343 computations (79.4% saved)
Found 4 expressions with local error:
| New | Error | Program |
| 1.8b | (*.f64 y.re (atan2.f64 x.im x.re)) | |
| 7.1b | (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))) | |
| 7.1b | (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) | |
| 31.2b | (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) |
13 alts after pruning (13 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 267 | 2 | 269 |
| Fresh | 1 | 11 | 12 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 269 | 13 | 282 |
| Status | Error | Program |
| 7.9b | (*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))) (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.im))))) (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.im))))))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) | |
| 33.8b | (*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 (sqrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) (sqrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))) | |
| 41.9b | (*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (-.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 (log.f64 (/.f64 -1 x.im)) y.im)))) | |
| 35.0b | (*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (cbrt.f64 (pow.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re))) 3)))) | |
| 22.7b | (*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (cbrt.f64 (*.f64 (*.f64 (*.f64 y.re y.re) y.re) (*.f64 (*.f64 (atan2.f64 x.im x.re) (atan2.f64 x.im x.re)) (atan2.f64 x.im x.re))))))) | |
| 7.9b | (*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (*.f64 (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (cbrt.f64 (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))) (cbrt.f64 (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))) (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.im))))) (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.im))))))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) | |
| 18.0b | (*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (cbrt.f64 (pow.f64 (sin.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))) 3))) | |
| 20.7b | (*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (expm1.f64 (log1p.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))) | |
| 31.0b | (*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))) | |
| 8.5b | (*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 (*.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))) | |
| 38.3b | (*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (fma.f64 (log.f64 x.im) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) | |
| 8.4b | (*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 (*.f64 (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))) (cbrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))) | |
| 37.8b | (*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (sqrt.f64 y.re) (*.f64 (sqrt.f64 y.re) (atan2.f64 x.im x.re)))))) |
Compiled 23273 to 3602 computations (84.5% saved)
Total 0.4b remaining (6.5%)
Threshold costs 0.4b (6.5%)
Compiled 15707 to 7080 computations (54.9% saved)
Compiled 41 to 19 computations (53.7% saved)
| 1× | egg-herbie |
| 13× | *-commutative_binary64 |
| 6× | +-commutative_binary64 |
| 4× | sub-neg_binary64 |
| 3× | neg-sub0_binary64 |
| 3× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 259 |
| 1 | 58 | 259 |
| 2 | 67 | 259 |
| 3 | 73 | 259 |
| 4 | 77 | 259 |
| 5 | 78 | 259 |
| 6 | 78 | 259 |
Compiled 941 to 320 computations (66% saved)
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