Time bar (total: 22.3s)
| 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 |
| 49% | 50.8% | 0.2% | 13 |
| 50.1% | 49.7% | 0.2% | 14 |
Compiled 42 to 20 computations (52.4% saved)
| 1× | intervals |
| 117.0ms | 80× | body | 1024 | invalid |
| 68.0ms | 240× | body | 128 | valid |
| 31.0ms | 34× | body | 512 | invalid |
| 18.0ms | 8× | body | 2048 | invalid |
| 15.0ms | 9× | body | 1024 | valid |
| 7.0ms | 12× | body | 256 | invalid |
| 5.0ms | 17× | body | 128 | invalid |
| 3.0ms | 1× | body | 2048 | valid |
| 3.0ms | 3× | body | 512 | valid |
| 2.0ms | 3× | body | 256 | valid |
Compiled 87 to 43 computations (50.6% 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 | 22 | 52 |
| 1 | 41 | 50 |
| 2 | 72 | 50 |
| 3 | 120 | 50 |
| 4 | 265 | 50 |
| 5 | 998 | 50 |
| 6 | 3045 | 50 |
| 7 | 4087 | 50 |
| 8 | 4543 | 50 |
| 9 | 4868 | 50 |
| 10 | 4934 | 50 |
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))))) |
| 29.8b | (*.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 | (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) |
| ✓ | 0.7b | (*.f64 y.re (atan2.f64 x.im x.re)) |
| ✓ | 1.5b | (*.f64 (atan2.f64 x.im x.re) y.im) |
| ✓ | 31.7b | (sin.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 |
| 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:
| 8.0ms | (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) |
| 8.0ms | (*.f64 (atan2.f64 x.im x.re) y.im) |
| 5.0ms | (*.f64 y.re (atan2.f64 x.im x.re)) |
| 2.0ms | (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:
| 1.0s | (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) |
| 213.0ms | (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) |
| 48.0ms | (*.f64 y.re (atan2.f64 x.im x.re)) |
| 41.0ms | (*.f64 (atan2.f64 x.im x.re) y.im) |
| 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 | 701 | 11429 |
| 1 | 2183 | 10566 |
| 2 | 4522 | 10506 |
| 3 | 4951 | 10506 |
| 4 | 4875 | 10506 |
14 alts after pruning (14 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 331 | 14 | 345 |
| Fresh | 1 | 0 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 333 | 14 | 347 |
| Status | Error | Program |
| ▶ | 7.9b | (*.f64 (*.f64 (pow.f64 (sqrt.f64 (hypot.f64 x.im x.re)) y.re) (/.f64 (pow.f64 (sqrt.f64 (hypot.f64 x.im x.re)) y.re) (exp.f64 (*.f64 y.im (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))))) |
| 8.3b | (*.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))))) | |
| 8.1b | (*.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))))) | |
| 38.1b | (*.f64 (+.f64 (/.f64 1 (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (/.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))) y.re) (exp.f64 (*.f64 y.im (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))))) | |
| 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 x.im) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) | |
| 14.3b | (*.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) | |
| 38.5b | (*.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)))) | |
| 19.3b | (*.f64 (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))))) | |
| 41.0b | (*.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 (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)))))) | |
| 8.1b | (*.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)))))) | |
| 32.8b | (*.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 (*.f64 y.re (atan2.f64 x.im x.re))) (sqrt.f64 (*.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))))))) | |
| 20.4b | (*.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))) | |
| 20.1b | (*.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 (pow.f64 y.im 2) (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))))))) |
Compiled 16006 to 5407 computations (66.2% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.2b | (/.f64 (pow.f64 (sqrt.f64 (hypot.f64 x.im x.re)) y.re) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) |
| 0.7b | (*.f64 y.re (atan2.f64 x.im x.re)) | |
| ✓ | 1.5b | (*.f64 y.im (atan2.f64 x.im x.re)) |
| 31.7b | (sin.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 |
| 30× | times-frac_binary64 |
| 29× | add-sqr-sqrt_binary64 |
| 27× | *-un-lft-identity_binary64 |
| 27× | add-cube-cbrt_binary64 |
| 24× | unpow-prod-down_binary64 |
2 calls:
| 11.0ms | (/.f64 (pow.f64 (sqrt.f64 (hypot.f64 x.im x.re)) y.re) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) |
| 6.0ms | (*.f64 y.im (atan2.f64 x.im x.re)) |
2 calls:
| 1.1s | (/.f64 (pow.f64 (sqrt.f64 (hypot.f64 x.im x.re)) y.re) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) |
| 45.0ms | (*.f64 y.im (atan2.f64 x.im x.re)) |
| 1× | egg-herbie |
| 545× | fma-def_binary64 |
| 300× | unswap-sqr_binary64 |
| 273× | cancel-sign-sub-inv_binary64 |
| 241× | fma-neg_binary64 |
| 217× | associate-*r*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 276 | 5197 |
| 1 | 703 | 5026 |
| 2 | 2727 | 4801 |
| 3 | 4900 | 4801 |
| 4 | 4981 | 4801 |
14 alts after pruning (14 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 321 | 3 | 324 |
| Fresh | 2 | 11 | 13 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 324 | 14 | 338 |
| Status | Error | Program |
| 8.1b | (*.f64 (*.f64 (pow.f64 (sqrt.f64 (hypot.f64 x.im x.re)) y.re) (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (sqrt.f64 (hypot.f64 x.im x.re)) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) 3))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) | |
| 8.3b | (*.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))))) | |
| 40.4b | (*.f64 (*.f64 (pow.f64 (sqrt.f64 (hypot.f64 x.im x.re)) y.re) (/.f64 (pow.f64 (sqrt.f64 (hypot.f64 x.im x.re)) y.re) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))) (sin.f64 (fma.f64 (log.f64 x.im) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) | |
| 14.3b | (*.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) | |
| 38.5b | (*.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)))) | |
| 38.1b | (*.f64 (+.f64 (/.f64 1 (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (/.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))) y.re) (exp.f64 (*.f64 y.im (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))))) | |
| 19.3b | (*.f64 (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))))) | |
| ▶ | 7.9b | (*.f64 (*.f64 (pow.f64 (sqrt.f64 (hypot.f64 x.im x.re)) y.re) (*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (hypot.f64 x.im x.re))) y.re) (/.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (hypot.f64 x.im x.re))) 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))))) |
| 41.0b | (*.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 (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)))))) | |
| 8.1b | (*.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)))))) | |
| 32.8b | (*.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 (*.f64 y.re (atan2.f64 x.im x.re))) (sqrt.f64 (*.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))))))) | |
| 20.4b | (*.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))) | |
| 20.1b | (*.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 (pow.f64 y.im 2) (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))))))) |
Compiled 15691 to 4330 computations (72.4% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.2b | (/.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (hypot.f64 x.im x.re))) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) |
| 0.7b | (*.f64 y.re (atan2.f64 x.im x.re)) | |
| 1.5b | (*.f64 (atan2.f64 x.im x.re) y.im) | |
| 31.7b | (sin.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 |
| 39× | times-frac_binary64 |
| 36× | sqrt-prod_binary64 |
| 36× | unpow-prod-down_binary64 |
| 31× | *-un-lft-identity_binary64 |
| 31× | add-sqr-sqrt_binary64 |
1 calls:
| 13.0ms | (/.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (hypot.f64 x.im x.re))) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) |
1 calls:
| 1.5s | (/.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (hypot.f64 x.im x.re))) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) |
| 1× | egg-herbie |
| 546× | times-frac_binary64 |
| 518× | associate-/l*_binary64 |
| 431× | associate-*r*_binary64 |
| 316× | associate-/r*_binary64 |
| 265× | associate-*l*_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 431 | 7993 |
| 1 | 1322 | 7729 |
| 2 | 5251 | 7729 |
14 alts after pruning (14 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 496 | 3 | 499 |
| Fresh | 2 | 11 | 13 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 499 | 14 | 513 |
| Status | Error | Program |
| 8.1b | (*.f64 (*.f64 (pow.f64 (sqrt.f64 (hypot.f64 x.im x.re)) y.re) (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (sqrt.f64 (hypot.f64 x.im x.re)) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) 3))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) | |
| 8.3b | (*.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))))) | |
| 14.3b | (*.f64 (*.f64 (pow.f64 (sqrt.f64 (hypot.f64 x.im x.re)) y.re) (*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (hypot.f64 x.im x.re))) y.re) (pow.f64 (pow.f64 (hypot.f64 x.re x.im) 1/4) y.re))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) | |
| 19.3b | (*.f64 (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))))) | |
| 40.4b | (*.f64 (*.f64 (pow.f64 (sqrt.f64 (hypot.f64 x.im x.re)) y.re) (/.f64 (pow.f64 (sqrt.f64 (hypot.f64 x.im x.re)) y.re) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))) (sin.f64 (fma.f64 (log.f64 x.im) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) | |
| 20.4b | (*.f64 (*.f64 (pow.f64 (sqrt.f64 (hypot.f64 x.im x.re)) y.re) (*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (hypot.f64 x.im x.re))) y.re) (/.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (hypot.f64 x.im x.re))) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))))) (cbrt.f64 (*.f64 (*.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (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))))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))) | |
| 38.5b | (*.f64 (*.f64 (pow.f64 (sqrt.f64 (hypot.f64 x.im x.re)) y.re) (*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (hypot.f64 x.im x.re))) y.re) (/.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (hypot.f64 x.im x.re))) 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)))) | |
| 38.1b | (*.f64 (+.f64 (/.f64 1 (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (/.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))) y.re) (exp.f64 (*.f64 y.im (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))))) | |
| 41.0b | (*.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 (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)))))) | |
| ▶ | 8.1b | (*.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)))))) |
| 32.8b | (*.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 (*.f64 y.re (atan2.f64 x.im x.re))) (sqrt.f64 (*.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))))))) | |
| 20.4b | (*.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))) | |
| 20.1b | (*.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 (pow.f64 y.im 2) (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))))))) |
Compiled 22924 to 6542 computations (71.5% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.6b | (cbrt.f64 y.re) |
| ✓ | 0.7b | (*.f64 (*.f64 (cbrt.f64 y.re) (cbrt.f64 y.re)) (*.f64 (cbrt.f64 y.re) (atan2.f64 x.im x.re))) |
| 1.5b | (*.f64 (atan2.f64 x.im x.re) y.im) | |
| ✓ | 31.3b | (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))))) |
| 1× | rewrite-expression-head |
| 15× | add-exp-log_binary64 |
| 15× | pow1_binary64 |
| 9× | add-cbrt-cube_binary64 |
| 8× | cbrt-unprod_binary64 |
| 8× | prod-exp_binary64 |
3 calls:
| 16.0ms | (*.f64 (*.f64 (cbrt.f64 y.re) (cbrt.f64 y.re)) (*.f64 (cbrt.f64 y.re) (atan2.f64 x.im x.re))) |
| 2.0ms | (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))))) |
| 1.0ms | (cbrt.f64 y.re) |
3 calls:
| 390.0ms | (cbrt.f64 y.re) |
| 181.0ms | (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))))) |
| 68.0ms | (*.f64 (*.f64 (cbrt.f64 y.re) (cbrt.f64 y.re)) (*.f64 (cbrt.f64 y.re) (atan2.f64 x.im x.re))) |
| 1× | egg-herbie |
| 691× | fma-def_binary64 |
| 479× | associate-*r*_binary64 |
| 328× | associate-*l*_binary64 |
| 257× | *-commutative_binary64 |
| 250× | unswap-sqr_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 379 | 5605 |
| 1 | 1096 | 5156 |
| 2 | 3770 | 5150 |
| 3 | 5071 | 5150 |
15 alts after pruning (14 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 337 | 1 | 338 |
| Fresh | 0 | 13 | 13 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 337 | 15 | 352 |
| Status | Error | Program |
| 8.1b | (*.f64 (*.f64 (pow.f64 (sqrt.f64 (hypot.f64 x.im x.re)) y.re) (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (sqrt.f64 (hypot.f64 x.im x.re)) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) 3))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) | |
| 8.3b | (*.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))))) | |
| 8.2b | (*.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 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (*.f64 (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 y.re)) (cbrt.f64 (cbrt.f64 y.re))) (cbrt.f64 (cbrt.f64 y.re))) (cbrt.f64 y.re)) (*.f64 (cbrt.f64 y.re) (atan2.f64 x.im x.re)))))) | |
| 19.3b | (*.f64 (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))))) | |
| 14.3b | (*.f64 (*.f64 (pow.f64 (sqrt.f64 (hypot.f64 x.im x.re)) y.re) (*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (hypot.f64 x.im x.re))) y.re) (pow.f64 (pow.f64 (hypot.f64 x.re x.im) 1/4) y.re))) (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 (sqrt.f64 (hypot.f64 x.im x.re)) y.re) (/.f64 (pow.f64 (sqrt.f64 (hypot.f64 x.im x.re)) y.re) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))) (sin.f64 (fma.f64 (log.f64 x.im) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) | |
| 20.4b | (*.f64 (*.f64 (pow.f64 (sqrt.f64 (hypot.f64 x.im x.re)) y.re) (*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (hypot.f64 x.im x.re))) y.re) (/.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (hypot.f64 x.im x.re))) y.re) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))))) (cbrt.f64 (*.f64 (*.f64 (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (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))))) (sin.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))) | |
| 38.5b | (*.f64 (*.f64 (pow.f64 (sqrt.f64 (hypot.f64 x.im x.re)) y.re) (*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (hypot.f64 x.im x.re))) y.re) (/.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (hypot.f64 x.im x.re))) 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)))) | |
| 38.1b | (*.f64 (+.f64 (/.f64 1 (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (/.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.re 2) (pow.f64 x.im 2)))) y.re) (exp.f64 (*.f64 y.im (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))))) | |
| 41.0b | (*.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 (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)))))) | |
| ✓ | 8.1b | (*.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)))))) |
| 32.8b | (*.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 (*.f64 y.re (atan2.f64 x.im x.re))) (sqrt.f64 (*.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))))))) | |
| 20.4b | (*.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))) | |
| 20.1b | (*.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 (pow.f64 y.im 2) (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))))))) |
Compiled 8607 to 2733 computations (68.2% saved)
Total 3.0b remaining (48.9%)
Threshold costs 0b (0%)
Compiled 18932 to 9480 computations (49.9% saved)
Compiled 41 to 19 computations (53.7% saved)
| 1× | egg-herbie |
| 11× | *-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 | 40 | 221 |
| 1 | 58 | 221 |
| 2 | 67 | 221 |
| 3 | 72 | 221 |
| 4 | 74 | 221 |
| 5 | 74 | 221 |
Compiled 115 to 35 computations (69.6% saved)
| 1× | intervals |
| 2.6s | 2440× | body | 1024 | invalid |
| 1.6s | 7591× | body | 128 | valid |
| 636.0ms | 933× | body | 512 | invalid |
| 312.0ms | 181× | body | 2048 | invalid |
| 189.0ms | 176× | body | 1024 | valid |
| 163.0ms | 363× | body | 256 | invalid |
| 114.0ms | 494× | body | 128 | invalid |
| 88.0ms | 138× | body | 512 | valid |
| 35.0ms | 80× | body | 256 | valid |
| 28.0ms | 15× | body | 2048 | valid |
Compiled 815 to 367 computations (55% saved)
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