Time bar (total: 10.4s)
| 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 |
| 74.9% | 25% | 0.2% | 5 |
| 74.9% | 25% | 0.2% | 6 |
| 74.9% | 25% | 0.2% | 7 |
| 87.3% | 12.5% | 0.2% | 8 |
| 93.6% | 6.2% | 0.2% | 9 |
| 93.6% | 6.2% | 0.2% | 10 |
| 93.6% | 6.2% | 0.2% | 11 |
| 96.7% | 3.1% | 0.2% | 12 |
| 98.2% | 1.6% | 0.2% | 13 |
| 98.2% | 1.6% | 0.2% | 14 |
Compiled 20 to 12 computations (40% saved)
| 1.1s | 8256× | body | 128 | valid |
Compiled 59 to 35 computations (40.7% saved)
| 1× | egg-herbie |
| 1070× | fma-neg_binary64 |
| 881× | fma-def_binary64 |
| 768× | times-frac_binary64 |
| 551× | cancel-sign-sub-inv_binary64 |
| 514× | unsub-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 20 |
| 1 | 25 | 20 |
| 2 | 47 | 20 |
| 3 | 78 | 20 |
| 4 | 149 | 20 |
| 5 | 228 | 20 |
| 6 | 324 | 20 |
| 7 | 500 | 20 |
| 8 | 694 | 20 |
| 9 | 867 | 20 |
| 10 | 999 | 20 |
| 11 | 2422 | 20 |
| 12 | 3920 | 20 |
| 13 | 4950 | 20 |
1 alts after pruning (1 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 1 | 2 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 2 | 1 | 3 |
| Status | Error | Program |
| ▶ | 28.4b | (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im))) |
Compiled 69 to 33 computations (52.2% saved)
Found 2 expressions with local error:
| New | Error | Program |
| ✓ | 0.3b | (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) |
| ✓ | 28.1b | (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im))) |
2 calls:
| 124.0ms | (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im))) |
| 19.0ms | (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) |
| 1× | rewrite-expression-head |
| 10× | *-un-lft-identity_binary64 |
| 10× | add-sqr-sqrt_binary64 |
| 10× | add-cube-cbrt_binary64 |
| 9× | times-frac_binary64 |
| 4× | add-cbrt-cube_binary64 |
2 calls:
| 9.0ms | (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im))) |
| 5.0ms | (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) |
| 1× | egg-herbie |
| 523× | fma-neg_binary64 |
| 383× | associate-*l*_binary64 |
| 348× | fma-def_binary64 |
| 319× | associate-*r*_binary64 |
| 252× | associate-/l*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 132 | 2762 |
| 1 | 323 | 2614 |
| 2 | 1088 | 2567 |
| 3 | 4398 | 2567 |
| 4 | 4952 | 2567 |
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 102 | 9 | 111 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 103 | 9 | 112 |
| Status | Error | Program |
| 28.8b | (*.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im))) (cbrt.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)))) (/.f64 (cbrt.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im))) (fma.f64 y.im y.im (*.f64 y.re y.re)))) | |
| 36.9b | (-.f64 (/.f64 x.im y.re) (fma.f64 (/.f64 x.re y.re) (/.f64 y.im y.re) (/.f64 (*.f64 (*.f64 y.im y.im) x.im) (pow.f64 y.re 3)))) | |
| 15.8b | (*.f64 (/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im))) (cbrt.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)))) (hypot.f64 y.im y.re)) (/.f64 (cbrt.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im))) (hypot.f64 y.im y.re))) | |
| 34.9b | (/.f64 x.im y.re) | |
| 28.6b | (/.f64 1 (/.f64 (fma.f64 y.re y.re (*.f64 y.im y.im)) (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)))) | |
| ▶ | 15.2b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (hypot.f64 y.im y.re))) |
| 34.0b | (-.f64 (/.f64 x.im y.re) (/.f64 (*.f64 x.re y.im) (pow.f64 y.re 2))) | |
| 38.2b | (-.f64 (fma.f64 (/.f64 y.re y.im) (/.f64 x.im y.im) (/.f64 (*.f64 x.re (*.f64 y.re y.re)) (pow.f64 y.im 3))) (/.f64 x.re y.im)) | |
| 38.0b | (neg.f64 (/.f64 x.re y.im)) |
Compiled 2907 to 650 computations (77.6% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (hypot.f64 y.im y.re) |
| ✓ | 0.2b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (hypot.f64 y.im y.re))) |
| ✓ | 0.3b | (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) |
| ✓ | 14.6b | (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (hypot.f64 y.im y.re)) |
4 calls:
| 188.0ms | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (hypot.f64 y.im y.re))) |
| 157.0ms | (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (hypot.f64 y.im y.re)) |
| 80.0ms | (hypot.f64 y.im y.re) |
| 27.0ms | (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) |
| 1× | rewrite-expression-head |
| 43× | add-sqr-sqrt_binary64 |
| 34× | times-frac_binary64 |
| 28× | *-un-lft-identity_binary64 |
| 28× | add-exp-log_binary64 |
| 26× | add-cube-cbrt_binary64 |
4 calls:
| 15.0ms | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (hypot.f64 y.im y.re))) |
| 5.0ms | (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (hypot.f64 y.im y.re)) |
| 3.0ms | (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) |
| 1.0ms | (hypot.f64 y.im y.re) |
| 1× | egg-herbie |
| 880× | times-frac_binary64 |
| 525× | fma-def_binary64 |
| 343× | cancel-sign-sub-inv_binary64 |
| 217× | fma-neg_binary64 |
| 176× | sub-neg_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 269 | 6157 |
| 1 | 735 | 5482 |
| 2 | 2502 | 5423 |
| 3 | 4985 | 5423 |
13 alts after pruning (13 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 287 | 8 | 295 |
| Fresh | 3 | 5 | 8 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 291 | 13 | 304 |
| Status | Error | Program |
| 21.4b | (*.f64 (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (/.f64 1 (sqrt.f64 (hypot.f64 y.im y.re)))) (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (sqrt.f64 (hypot.f64 y.im y.re)))) | |
| 43.8b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (neg.f64 x.im)) | |
| 15.4b | (*.f64 (sqrt.f64 (/.f64 1 (hypot.f64 y.im y.re))) (*.f64 (sqrt.f64 (/.f64 1 (hypot.f64 y.im y.re))) (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (hypot.f64 y.im y.re)))) | |
| 42.3b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (-.f64 (/.f64 (*.f64 y.re x.im) y.im) x.re)) | |
| ▶ | 15.1b | (/.f64 (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re)) |
| 36.9b | (-.f64 (/.f64 x.im y.re) (fma.f64 (/.f64 x.re y.re) (/.f64 y.im y.re) (/.f64 (*.f64 (*.f64 y.im y.im) x.im) (pow.f64 y.re 3)))) | |
| 15.3b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (/.f64 1 (/.f64 (hypot.f64 y.im y.re) (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im))))) | |
| 38.0b | (neg.f64 (/.f64 x.re y.im)) | |
| 28.6b | (/.f64 1 (/.f64 (fma.f64 y.re y.re (*.f64 y.im y.im)) (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)))) | |
| 46.7b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) x.re) | |
| 27.2b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (cbrt.f64 (pow.f64 (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (hypot.f64 y.im y.re)) 3))) | |
| 34.9b | (/.f64 x.im y.re) | |
| 38.2b | (-.f64 (fma.f64 (/.f64 y.re y.im) (/.f64 x.im y.im) (/.f64 (*.f64 x.re (*.f64 y.re y.re)) (pow.f64 y.im 3))) (/.f64 x.re y.im)) |
Compiled 8231 to 2629 computations (68.1% saved)
Found 4 expressions with local error:
| New | Error | Program |
| 0.0b | (hypot.f64 y.im y.re) | |
| ✓ | 0.0b | (/.f64 (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re)) |
| 0.3b | (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) | |
| 14.6b | (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (hypot.f64 y.im y.re)) |
1 calls:
| 206.0ms | (/.f64 (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re)) |
| 1× | rewrite-expression-head |
| 75× | times-frac_binary64 |
| 43× | *-un-lft-identity_binary64 |
| 43× | add-sqr-sqrt_binary64 |
| 43× | add-cube-cbrt_binary64 |
| 13× | associate-/l*_binary64 |
1 calls:
| 13.0ms | (/.f64 (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re)) |
| 1× | egg-herbie |
| 566× | times-frac_binary64 |
| 497× | fma-neg_binary64 |
| 471× | associate-/l*_binary64 |
| 471× | associate-/l/_binary64 |
| 359× | div-sub_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 189 | 4368 |
| 1 | 440 | 4066 |
| 2 | 1093 | 3872 |
| 3 | 4104 | 3805 |
| 4 | 5309 | 3805 |
10 alts after pruning (10 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 312 | 7 | 319 |
| Fresh | 9 | 3 | 12 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 322 | 10 | 332 |
| Status | Error | Program |
| 42.3b | (/.f64 (-.f64 (/.f64 (*.f64 y.re x.im) y.im) x.re) (hypot.f64 y.im y.re)) | |
| ▶ | 15.2b | (/.f64 (/.f64 1 (/.f64 (hypot.f64 y.im y.re) (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)))) (hypot.f64 y.im y.re)) |
| 43.8b | (/.f64 (neg.f64 x.im) (hypot.f64 y.im y.re)) | |
| 15.4b | (/.f64 (/.f64 (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (sqrt.f64 (hypot.f64 y.im y.re))) (sqrt.f64 (hypot.f64 y.im y.re))) (hypot.f64 y.im y.re)) | |
| 15.4b | (*.f64 (sqrt.f64 (/.f64 1 (hypot.f64 y.im y.re))) (*.f64 (sqrt.f64 (/.f64 1 (hypot.f64 y.im y.re))) (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (hypot.f64 y.im y.re)))) | |
| 46.7b | (/.f64 x.re (hypot.f64 y.im y.re)) | |
| 36.9b | (-.f64 (/.f64 x.im y.re) (fma.f64 (/.f64 x.re y.re) (/.f64 y.im y.re) (/.f64 (*.f64 (*.f64 y.im y.im) x.im) (pow.f64 y.re 3)))) | |
| 34.9b | (/.f64 x.im y.re) | |
| 15.7b | (/.f64 1 (/.f64 (hypot.f64 y.im y.re) (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (hypot.f64 y.im y.re)))) | |
| 27.2b | (*.f64 (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) 1) (/.f64 (/.f64 1 (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re))) |
Compiled 8514 to 2135 computations (74.9% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (/.f64 (/.f64 1 (/.f64 (hypot.f64 y.im y.re) (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)))) (hypot.f64 y.im y.re)) |
| ✓ | 0.2b | (/.f64 1 (/.f64 (hypot.f64 y.im y.re) (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)))) |
| 0.3b | (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) | |
| ✓ | 14.7b | (/.f64 (hypot.f64 y.im y.re) (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im))) |
3 calls:
| 195.0ms | (/.f64 (/.f64 1 (/.f64 (hypot.f64 y.im y.re) (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)))) (hypot.f64 y.im y.re)) |
| 186.0ms | (/.f64 1 (/.f64 (hypot.f64 y.im y.re) (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)))) |
| 84.0ms | (/.f64 (hypot.f64 y.im y.re) (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im))) |
| 1× | rewrite-expression-head |
| 528× | times-frac_binary64 |
| 254× | *-un-lft-identity_binary64 |
| 254× | add-sqr-sqrt_binary64 |
| 254× | add-cube-cbrt_binary64 |
| 56× | associate-/l*_binary64 |
3 calls:
| 34.0ms | (/.f64 (/.f64 1 (/.f64 (hypot.f64 y.im y.re) (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)))) (hypot.f64 y.im y.re)) |
| 12.0ms | (/.f64 (hypot.f64 y.im y.re) (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im))) |
| 11.0ms | (/.f64 1 (/.f64 (hypot.f64 y.im y.re) (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)))) |
| 1× | egg-herbie |
| 466× | times-frac_binary64 |
| 369× | associate-/l*_binary64 |
| 337× | associate-/r*_binary64 |
| 239× | associate-/l/_binary64 |
| 230× | associate-/r/_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 439 | 19238 |
| 1 | 1220 | 17435 |
| 2 | 4752 | 17435 |
| 3 | 4997 | 17435 |
| 4 | 4977 | 17435 |
10 alts after pruning (9 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 627 | 0 | 627 |
| Fresh | 0 | 9 | 9 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 627 | 10 | 637 |
| Status | Error | Program |
| 42.3b | (/.f64 (-.f64 (/.f64 (*.f64 y.re x.im) y.im) x.re) (hypot.f64 y.im y.re)) | |
| ✓ | 15.2b | (/.f64 (/.f64 1 (/.f64 (hypot.f64 y.im y.re) (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)))) (hypot.f64 y.im y.re)) |
| 43.8b | (/.f64 (neg.f64 x.im) (hypot.f64 y.im y.re)) | |
| 15.4b | (/.f64 (/.f64 (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (sqrt.f64 (hypot.f64 y.im y.re))) (sqrt.f64 (hypot.f64 y.im y.re))) (hypot.f64 y.im y.re)) | |
| 15.4b | (*.f64 (sqrt.f64 (/.f64 1 (hypot.f64 y.im y.re))) (*.f64 (sqrt.f64 (/.f64 1 (hypot.f64 y.im y.re))) (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (hypot.f64 y.im y.re)))) | |
| 46.7b | (/.f64 x.re (hypot.f64 y.im y.re)) | |
| 36.9b | (-.f64 (/.f64 x.im y.re) (fma.f64 (/.f64 x.re y.re) (/.f64 y.im y.re) (/.f64 (*.f64 (*.f64 y.im y.im) x.im) (pow.f64 y.re 3)))) | |
| 34.9b | (/.f64 x.im y.re) | |
| 15.7b | (/.f64 1 (/.f64 (hypot.f64 y.im y.re) (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (hypot.f64 y.im y.re)))) | |
| 27.2b | (*.f64 (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) 1) (/.f64 (/.f64 1 (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re))) |
Compiled 21581 to 5743 computations (73.4% saved)
Total 9.8b remaining (83.6%)
Threshold costs 0b (0%)
Compiled 20763 to 12034 computations (42% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 4 | 2.289460509993495e+133 | 3.9413810999069814e+133 | 2.6508181390370694e+133 |
| 7 | -1.1303262023734178e-277 | -4.453857161756357e-280 | -8.168380286508774e-280 |
| 9 | -2.1710835684207147e-221 | -1.5401647695385404e-229 | -7.746052639847127e-223 |
| 10 | -1.3759515111598078e-187 | -9.396862257212423e-203 | -2.3624307415395805e-197 |
| 10 | -1.2123400635254853e-64 | -6.611758308217706e-78 | -1.0719267080027835e-77 |
| 9 | -2.1716881053784275e+189 | -9.844060192539692e+179 | -1.0001347671923885e+180 |
Compiled 5 to 4 computations (20% saved)
| 1× | egg-herbie |
| 12× | +-commutative_binary64 |
| 12× | sub-neg_binary64 |
| 11× | *-commutative_binary64 |
| 8× | neg-sub0_binary64 |
| 8× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 169 |
| 1 | 59 | 169 |
| 2 | 79 | 169 |
| 3 | 97 | 169 |
| 4 | 109 | 169 |
| 5 | 115 | 169 |
| 6 | 117 | 169 |
| 7 | 115 | 169 |
Compiled 422 to 190 computations (55% saved)
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