Time bar (total: 14.5s)
| 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 | 2588× | body | 1024 | invalid |
| 2.0s | 7829× | body | 128 | valid |
| 628.0ms | 937× | body | 512 | invalid |
| 269.0ms | 179× | body | 2048 | invalid |
| 246.0ms | 175× | body | 1024 | valid |
| 163.0ms | 353× | body | 256 | invalid |
| 140.0ms | 530× | body | 128 | invalid |
| 102.0ms | 147× | body | 512 | valid |
| 41.0ms | 87× | body | 256 | valid |
| 27.0ms | 18× | 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 |
| ▶ | 8.9b | (*.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))))) |
| 36.1b | (*.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 |
| ✓ | 0.5b | (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) |
| ✓ | 1.1b | (*.f64 y.re (atan2.f64 x.im x.re)) |
| ✓ | 2.2b | (*.f64 (atan2.f64 x.im x.re) y.im) |
| ✓ | 31.5b | (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:
| 549.0ms | (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) |
| 109.0ms | (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 |
| 28× | add-sqr-sqrt_binary64 |
| 24× | *-un-lft-identity_binary64 |
| 24× | add-cube-cbrt_binary64 |
| 21× | times-frac_binary64 |
| 12× | unpow-prod-down_binary64 |
4 calls:
| 4.0ms | (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) |
| 3.0ms | (*.f64 y.re (atan2.f64 x.im x.re)) |
| 3.0ms | (*.f64 (atan2.f64 x.im x.re) y.im) |
| 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)))) |
| 1× | egg-herbie |
| 731× | times-frac_binary64 |
| 680× | associate-/l*_binary64 |
| 644× | fma-def_binary64 |
| 277× | *-commutative_binary64 |
| 143× | cancel-sign-sub-inv_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 699 | 9245 |
| 1 | 2181 | 8424 |
| 2 | 4520 | 8364 |
| 3 | 4956 | 8364 |
| 4 | 4880 | 8364 |
17 alts after pruning (17 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 256 | 17 | 273 |
| Fresh | 1 | 0 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 258 | 17 | 275 |
| Status | Error | Program |
| 8.9b | (*.f64 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) 3)) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) | |
| 20.9b | (*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (-.f64 (fma.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) (fma.f64 1/2 (*.f64 (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 2) (*.f64 (*.f64 y.im y.im) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))) (*.f64 1/6 (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 (pow.f64 y.im 3) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 3))))))) | |
| 9.8b | (*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (fma.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))) | |
| 40.8b | (*.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 x.im) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) | |
| 9.1b | (*.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 (*.f64 (cbrt.f64 y.re) (cbrt.f64 y.re)) (*.f64 (cbrt.f64 y.re) (atan2.f64 x.im x.re)))))) | |
| 19.3b | (*.f64 (fma.f64 (/.f64 (log.f64 (hypot.f64 x.im x.re)) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) y.re (pow.f64 (exp.f64 y.im) (neg.f64 (atan2.f64 x.im x.re)))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) | |
| 35.7b | (*.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 (*.f64 (sqrt.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (sqrt.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))) | |
| 39.5b | (*.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 y.re (atan2.f64 x.im x.re)) (*.f64 (log.f64 (/.f64 -1 x.im)) y.im)))) | |
| 34.0b | (*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 (sqrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) (sqrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))) | |
| 9.4b | (*.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))))))) | |
| 21.2b | (*.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))) | |
| 8.9b | (*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (log1p.f64 (expm1.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))) | |
| ▶ | 4.4b | (*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (*.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))))) |
| 22.2b | (*.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 y.re (atan2.f64 x.im x.re)))) | |
| 40.4b | (*.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)))))) | |
| 26.5b | (*.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 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (cbrt.f64 (*.f64 (pow.f64 y.re 3) (pow.f64 (atan2.f64 x.im x.re) 3)))))) | |
| 9.1b | (*.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 (*.f64 (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))) |
Compiled 16263 to 5258 computations (67.7% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.3b | (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) |
| 1.1b | (*.f64 y.re (atan2.f64 x.im x.re)) | |
| 2.2b | (*.f64 (atan2.f64 x.im x.re) y.im) | |
| 31.5b | (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:
| 745.0ms | (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) |
| 1× | rewrite-expression-head |
| 5× | add-sqr-sqrt_binary64 |
| 4× | associate-*l*_binary64 |
| 4× | pow1_binary64 |
| 3× | associate-*r*_binary64 |
| 3× | *-un-lft-identity_binary64 |
1 calls:
| 3.0ms | (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) |
| 1× | egg-herbie |
| 583× | associate-/r/_binary64 |
| 506× | associate-/l/_binary64 |
| 259× | times-frac_binary64 |
| 249× | fma-def_binary64 |
| 217× | distribute-rgt-neg-in_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 119 | 1306 |
| 1 | 335 | 1108 |
| 2 | 828 | 1108 |
| 3 | 2818 | 1087 |
| 4 | 5391 | 1087 |
16 alts after pruning (16 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 201 | 2 | 203 |
| Fresh | 2 | 14 | 16 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 204 | 16 | 220 |
| Status | Error | Program |
| 34.0b | (*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 (sqrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) (sqrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))) | |
| 37.2b | (*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (-.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (/.f64 -1 x.im)))))) | |
| 9.4b | (*.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))))))) | |
| 17.7b | (*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) | |
| 8.9b | (*.f64 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) 3)) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) | |
| 20.9b | (*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (-.f64 (fma.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) (fma.f64 1/2 (*.f64 (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 2) (*.f64 (*.f64 y.im y.im) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))) (*.f64 1/6 (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 (pow.f64 y.im 3) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 3))))))) | |
| 9.8b | (*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (fma.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))) | |
| 40.8b | (*.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 x.im) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) | |
| 9.1b | (*.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 (*.f64 (cbrt.f64 y.re) (cbrt.f64 y.re)) (*.f64 (cbrt.f64 y.re) (atan2.f64 x.im x.re)))))) | |
| 19.3b | (*.f64 (fma.f64 (/.f64 (log.f64 (hypot.f64 x.im x.re)) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) y.re (pow.f64 (exp.f64 y.im) (neg.f64 (atan2.f64 x.im x.re)))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) | |
| 21.2b | (*.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))) | |
| ▶ | 8.9b | (*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (log1p.f64 (expm1.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))) |
| 40.4b | (*.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)))))) | |
| 35.7b | (*.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 (*.f64 (sqrt.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (sqrt.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))) | |
| 26.5b | (*.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 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (cbrt.f64 (*.f64 (pow.f64 y.re 3) (pow.f64 (atan2.f64 x.im x.re) 3)))))) | |
| 9.1b | (*.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 (*.f64 (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))) |
Compiled 11064 to 3716 computations (66.4% saved)
Found 4 expressions with local error:
| New | Error | Program |
| 0.5b | (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) | |
| 1.1b | (*.f64 y.re (atan2.f64 x.im x.re)) | |
| 2.2b | (*.f64 (atan2.f64 x.im x.re) y.im) | |
| 31.5b | (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) |
16 alts after pruning (15 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 273 | 0 | 273 |
| Fresh | 0 | 15 | 15 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 273 | 16 | 289 |
| Status | Error | Program |
| 34.0b | (*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 (sqrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) (sqrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))) | |
| 37.2b | (*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (-.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (/.f64 -1 x.im)))))) | |
| 9.4b | (*.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))))))) | |
| 17.7b | (*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) | |
| ▶ | 8.9b | (*.f64 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) 3)) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) |
| 20.9b | (*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (-.f64 (fma.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) (fma.f64 1/2 (*.f64 (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 2) (*.f64 (*.f64 y.im y.im) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))) (*.f64 1/6 (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 (pow.f64 y.im 3) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 3))))))) | |
| 9.8b | (*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (fma.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))) | |
| 40.8b | (*.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 x.im) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) | |
| 9.1b | (*.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 (*.f64 (cbrt.f64 y.re) (cbrt.f64 y.re)) (*.f64 (cbrt.f64 y.re) (atan2.f64 x.im x.re)))))) | |
| 19.3b | (*.f64 (fma.f64 (/.f64 (log.f64 (hypot.f64 x.im x.re)) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) y.re (pow.f64 (exp.f64 y.im) (neg.f64 (atan2.f64 x.im x.re)))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) | |
| 21.2b | (*.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))) | |
| ✓ | 8.9b | (*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (log1p.f64 (expm1.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))) |
| 40.4b | (*.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)))))) | |
| 35.7b | (*.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 (*.f64 (sqrt.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (sqrt.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))) | |
| 26.5b | (*.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 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (cbrt.f64 (*.f64 (pow.f64 y.re 3) (pow.f64 (atan2.f64 x.im x.re) 3)))))) | |
| 9.1b | (*.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 (*.f64 (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))) |
Compiled 16722 to 5409 computations (67.7% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.5b | (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) |
| 1.1b | (*.f64 y.re (atan2.f64 x.im x.re)) | |
| ✓ | 2.2b | (*.f64 y.im (atan2.f64 x.im x.re)) |
| 31.5b | (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) |
2 calls:
| 549.0ms | (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) |
| 9.0ms | (*.f64 y.im (atan2.f64 x.im x.re)) |
| 1× | rewrite-expression-head |
| 22× | add-sqr-sqrt_binary64 |
| 21× | times-frac_binary64 |
| 20× | *-un-lft-identity_binary64 |
| 20× | add-cube-cbrt_binary64 |
| 12× | unpow-prod-down_binary64 |
2 calls:
| 5.0ms | (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) |
| 3.0ms | (*.f64 y.im (atan2.f64 x.im x.re)) |
| 1× | egg-herbie |
| 605× | fma-def_binary64 |
| 505× | times-frac_binary64 |
| 441× | associate-/l*_binary64 |
| 406× | associate-*r*_binary64 |
| 285× | associate-/r*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 401 | 5496 |
| 1 | 1258 | 5159 |
| 2 | 4934 | 5155 |
| 3 | 5375 | 5155 |
16 alts after pruning (14 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 278 | 0 | 278 |
| Fresh | 0 | 14 | 14 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 278 | 16 | 294 |
| Status | Error | Program |
| 34.0b | (*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (*.f64 (sqrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) (sqrt.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))) | |
| 37.2b | (*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (-.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (/.f64 -1 x.im)))))) | |
| 9.4b | (*.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))))))) | |
| 17.7b | (*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) | |
| ✓ | 8.9b | (*.f64 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) 3)) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) |
| 20.9b | (*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (-.f64 (fma.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) (fma.f64 1/2 (*.f64 (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 2) (*.f64 (*.f64 y.im y.im) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))) (*.f64 1/6 (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 (pow.f64 y.im 3) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 3))))))) | |
| 9.8b | (*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (fma.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))) | |
| 40.8b | (*.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 x.im) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) | |
| 9.1b | (*.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 (*.f64 (cbrt.f64 y.re) (cbrt.f64 y.re)) (*.f64 (cbrt.f64 y.re) (atan2.f64 x.im x.re)))))) | |
| 19.3b | (*.f64 (fma.f64 (/.f64 (log.f64 (hypot.f64 x.im x.re)) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) y.re (pow.f64 (exp.f64 y.im) (neg.f64 (atan2.f64 x.im x.re)))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) | |
| 21.2b | (*.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))) | |
| ✓ | 8.9b | (*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (log1p.f64 (expm1.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))) |
| 40.4b | (*.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)))))) | |
| 35.7b | (*.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 (*.f64 (sqrt.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (sqrt.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))) | |
| 26.5b | (*.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 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (cbrt.f64 (*.f64 (pow.f64 y.re 3) (pow.f64 (atan2.f64 x.im x.re) 3)))))) | |
| 9.1b | (*.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 (*.f64 (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))) |
Compiled 16827 to 5889 computations (65% saved)
Total 0.5b remaining (13.6%)
Threshold costs 0.5b (13.6%)
Compiled 13347 to 7270 computations (45.5% saved)
| 1× | egg-herbie |
| 7× | *-commutative_binary64 |
| 4× | +-commutative_binary64 |
| 4× | sub-neg_binary64 |
| 3× | neg-sub0_binary64 |
| 3× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 40 |
| 1 | 25 | 40 |
| 2 | 35 | 40 |
| 3 | 41 | 40 |
| 4 | 45 | 40 |
| 5 | 46 | 40 |
| 6 | 46 | 40 |
Compiled 671 to 330 computations (50.8% saved)
Loading profile data...