Time bar (total: 26.8s)
| 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 |
| 0% | 99.8% | 0.2% | 8 |
| 0% | 99.8% | 0.2% | 9 |
| 0% | 99.8% | 0.2% | 10 |
| 0% | 99.8% | 0.2% | 11 |
| 7.6% | 92.3% | 0.2% | 12 |
| 19.3% | 80.5% | 0.2% | 13 |
| 21.4% | 78.4% | 0.2% | 14 |
Compiled 42 to 20 computations (52.4% saved)
| 11.8s | 2695× | body | 8192 | exit |
| 1.9s | 7821× | body | 128 | valid |
| 1.2s | 1165× | body | 1024 | invalid |
| 295.0ms | 448× | body | 512 | invalid |
| 173.0ms | 187× | body | 1024 | valid |
| 82.0ms | 131× | body | 512 | valid |
| 68.0ms | 142× | body | 256 | invalid |
| 48.0ms | 103× | body | 256 | valid |
| 36.0ms | 145× | body | 128 | invalid |
| 32.0ms | 24× | body | 2048 | invalid |
| 23.0ms | 14× | body | 2048 | valid |
Compiled 83 to 39 computations (53% 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 |
| 32.4b | (*.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))) (cos.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))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) |
Compiled 206 to 96 computations (53.4% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.4b | (*.f64 y.re (atan2.f64 x.im x.re)) |
| ✓ | 0.5b | (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) |
| ✓ | 1.6b | (*.f64 (atan2.f64 x.im x.re) y.im) |
| ✓ | 33.5b | (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) |
4 calls:
| 607.0ms | (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) |
| 122.0ms | (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) |
| 9.0ms | (*.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 | (cos.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 |
| 723× | times-frac_binary64 |
| 676× | fma-def_binary64 |
| 672× | associate-/l*_binary64 |
| 276× | *-commutative_binary64 |
| 164× | cancel-sign-sub-inv_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 704 | 9231 |
| 1 | 2205 | 8440 |
| 2 | 4490 | 8380 |
| 3 | 4964 | 8380 |
| 4 | 4875 | 8380 |
10 alts after pruning (10 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 261 | 10 | 271 |
| Fresh | 1 | 0 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 263 | 10 | 273 |
| Status | Error | Program |
| ▶ | 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))) (expm1.f64 (log1p.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))) |
| 34.9b | (*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (-.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 (log.f64 (/.f64 -1 x.im)) y.im)))) | |
| 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))) (*.f64 (*.f64 (cbrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) (cbrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))) (cbrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))) | |
| 20.3b | (*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (-.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (fma.f64 1/2 (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 (*.f64 y.im y.im) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 2))) (*.f64 (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.im (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))))) | |
| 9.3b | (*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.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))) (log1p.f64 (expm1.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))) | |
| 18.6b | (*.f64 (-.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (*.f64 (*.f64 y.im (atan2.f64 x.im x.re)) (pow.f64 (hypot.f64 x.im x.re) y.re))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) | |
| 38.0b | (*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (fma.f64 (log.f64 x.im) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) | |
| 18.7b | (*.f64 (pow.f64 (exp.f64 y.im) (neg.f64 (atan2.f64 x.im x.re))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) | |
| 21.6b | (*.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 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) (sqrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))) |
Compiled 15383 to 4890 computations (68.2% saved)
Found 4 expressions with local error:
| New | Error | Program |
| 0.4b | (*.f64 y.re (atan2.f64 x.im x.re)) | |
| 0.5b | (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) | |
| 1.6b | (*.f64 (atan2.f64 x.im x.re) y.im) | |
| 33.5b | (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) |
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 270 | 1 | 271 |
| Fresh | 1 | 8 | 9 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 272 | 9 | 281 |
| Status | Error | Program |
| 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))) (*.f64 (*.f64 (cbrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) (cbrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))) (cbrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))) | |
| 20.3b | (*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (-.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (fma.f64 1/2 (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 (*.f64 y.im y.im) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 2))) (*.f64 (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.im (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))))) | |
| 9.3b | (*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.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))) (log1p.f64 (expm1.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))) |
| 34.9b | (*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (-.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 (log.f64 (/.f64 -1 x.im)) y.im)))) | |
| 18.6b | (*.f64 (-.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (*.f64 (*.f64 y.im (atan2.f64 x.im x.re)) (pow.f64 (hypot.f64 x.im x.re) y.re))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) | |
| 18.7b | (*.f64 (pow.f64 (exp.f64 y.im) (neg.f64 (atan2.f64 x.im x.re))) (expm1.f64 (log1p.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))) | |
| 38.0b | (*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (fma.f64 (log.f64 x.im) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) | |
| 21.6b | (*.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 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) (sqrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))) |
Compiled 15867 to 5050 computations (68.2% 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))) | |
| ✓ | 0.6b | (expm1.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) |
| 1.6b | (*.f64 (atan2.f64 x.im x.re) y.im) | |
| 33.5b | (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) |
1 calls:
| 288.0ms | (expm1.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) |
| 1× | rewrite-expression-head |
| 2× | log1p-expm1-u_binary64 |
| 1× | *-un-lft-identity_binary64 |
| 1× | add-sqr-sqrt_binary64 |
| 1× | add-cube-cbrt_binary64 |
| 1× | add-cbrt-cube_binary64 |
1 calls:
| 0.0ms | (expm1.f64 (cos.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 |
| 654× | associate-*l*_binary64 |
| 429× | times-frac_binary64 |
| 371× | fma-def_binary64 |
| 344× | associate-/l*_binary64 |
| 305× | associate-/r*_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 624 | 7977 |
| 1 | 1922 | 7339 |
| 2 | 5414 | 7339 |
10 alts after pruning (10 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 322 | 5 | 327 |
| Fresh | 3 | 5 | 8 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 326 | 10 | 336 |
| Status | Error | Program |
| 18.7b | (*.f64 (pow.f64 (exp.f64 y.im) (neg.f64 (atan2.f64 x.im x.re))) (expm1.f64 (log1p.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))) | |
| 21.6b | (*.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 (*.f64 (sqrt.f64 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re))))) (sqrt.f64 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.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))) (*.f64 (*.f64 (cbrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) (cbrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))) (cbrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))) | |
| 20.3b | (*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (-.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (fma.f64 1/2 (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 (*.f64 y.im y.im) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 2))) (*.f64 (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.im (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))))) | |
| 9.3b | (*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) | |
| 38.0b | (*.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 (-.f64 (exp.f64 (cos.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 y.re (atan2.f64 x.im x.re))))) 1))) | |
| 18.6b | (*.f64 (-.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (*.f64 (*.f64 y.im (atan2.f64 x.im x.re)) (pow.f64 (hypot.f64 x.im x.re) y.re))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re 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))) (log1p.f64 (*.f64 (*.f64 (cbrt.f64 (expm1.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))) (cbrt.f64 (expm1.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))) (cbrt.f64 (expm1.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.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))) (log1p.f64 (cbrt.f64 (pow.f64 (expm1.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) 3)))) |
| 34.9b | (*.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 (cos.f64 (-.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (/.f64 -1 x.im)))))))) |
Compiled 26058 to 9258 computations (64.5% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.6b | (expm1.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) |
| ✓ | 0.8b | (pow.f64 (expm1.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) 3) |
| 1.6b | (*.f64 (atan2.f64 x.im x.re) y.im) | |
| ✓ | 33.5b | (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) |
3 calls:
| 2.5s | (pow.f64 (expm1.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) 3) |
| 283.0ms | (expm1.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) |
| 111.0ms | (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) |
| 1× | rewrite-expression-head |
| 6× | *-un-lft-identity_binary64 |
| 6× | add-sqr-sqrt_binary64 |
| 6× | add-cube-cbrt_binary64 |
| 4× | add-cbrt-cube_binary64 |
| 4× | add-exp-log_binary64 |
3 calls:
| 2.0ms | (pow.f64 (expm1.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) 3) |
| 1.0ms | (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) |
| 0.0ms | (expm1.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) |
| 1× | egg-herbie |
| 575× | associate-*r*_binary64 |
| 487× | fma-def_binary64 |
| 346× | associate-*r/_binary64 |
| 286× | associate-/l*_binary64 |
| 85× | sub-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 2198 | 37869 |
| 1 | 5044 | 37869 |
11 alts after pruning (10 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 265 | 3 | 268 |
| Fresh | 2 | 7 | 9 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 267 | 11 | 278 |
| Status | Error | Program |
| 9.3b | (*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) | |
| 38.0b | (*.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 (-.f64 (exp.f64 (cos.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 y.re (atan2.f64 x.im x.re))))) 1))) | |
| 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))) (log1p.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) 3)) 3)))) | |
| 18.6b | (*.f64 (-.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (*.f64 (*.f64 y.im (atan2.f64 x.im x.re)) (pow.f64 (hypot.f64 x.im x.re) y.re))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) | |
| 18.7b | (*.f64 (pow.f64 (exp.f64 y.im) (neg.f64 (atan2.f64 x.im x.re))) (expm1.f64 (log1p.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re 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))) (log1p.f64 (*.f64 (*.f64 (cbrt.f64 (expm1.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))) (cbrt.f64 (expm1.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))) (cbrt.f64 (expm1.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.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))) (log1p.f64 (cbrt.f64 (pow.f64 (expm1.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) 3)))) |
| 38.8b | (*.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 (cbrt.f64 (-.f64 (fma.f64 3 (exp.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) (fma.f64 6 (*.f64 (pow.f64 (exp.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) 2) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) y.im))) (pow.f64 (exp.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) 3))) (fma.f64 3 (*.f64 (exp.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) y.im))) (fma.f64 3 (*.f64 (pow.f64 (exp.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) 3) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) y.im))) (+.f64 1 (*.f64 3 (pow.f64 (exp.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) 2))))))))) | |
| 52.1b | (*.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 (cbrt.f64 (-.f64 (+.f64 (*.f64 3 (/.f64 (*.f64 (pow.f64 (exp.f64 (cos.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 (log.f64 x.re) y.im)))) 2) (*.f64 y.im (*.f64 (pow.f64 x.im 2) (sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 (log.f64 x.re) y.im)))))) (pow.f64 x.re 2))) (+.f64 (*.f64 3 (exp.f64 (cos.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 (log.f64 x.re) y.im))))) (pow.f64 (exp.f64 (cos.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 (log.f64 x.re) y.im)))) 3))) (+.f64 1 (+.f64 (*.f64 3/2 (/.f64 (*.f64 (exp.f64 (cos.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 (log.f64 x.re) y.im)))) (*.f64 y.im (*.f64 (pow.f64 x.im 2) (sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 (log.f64 x.re) y.im)))))) (pow.f64 x.re 2))) (+.f64 (*.f64 3 (pow.f64 (exp.f64 (cos.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 (log.f64 x.re) y.im)))) 2)) (*.f64 3/2 (/.f64 (*.f64 (pow.f64 (exp.f64 (cos.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 (log.f64 x.re) y.im)))) 3) (*.f64 y.im (*.f64 (pow.f64 x.im 2) (sin.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 (log.f64 x.re) y.im)))))) (pow.f64 x.re 2)))))))))) | |
| 34.9b | (*.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 (cos.f64 (-.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (/.f64 -1 x.im)))))))) | |
| 20.3b | (*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) (-.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (fma.f64 1/2 (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 (*.f64 y.im y.im) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) 2))) (*.f64 (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.im (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))))) |
Compiled 54173 to 22681 computations (58.1% saved)
Total 0.4b remaining (11.9%)
Threshold costs 0.4b (11.9%)
Compiled 16167 to 8475 computations (47.6% 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 | 18 | 44 |
| 1 | 27 | 44 |
| 2 | 37 | 44 |
| 3 | 43 | 44 |
| 4 | 47 | 44 |
| 5 | 48 | 44 |
| 6 | 48 | 44 |
Compiled 721 to 327 computations (54.6% saved)
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