Time bar (total: 11.5s)
| 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 |
| 0% | 99.8% | 0.2% | 6 |
| 0% | 99.8% | 0.2% | 7 |
| 6.2% | 93.6% | 0.2% | 8 |
| 25% | 74.9% | 0.2% | 9 |
| 28.1% | 71.7% | 0.2% | 10 |
| 29.6% | 70.2% | 0.2% | 11 |
| 53% | 46.8% | 0.2% | 12 |
| 71.3% | 28.5% | 0.2% | 13 |
| 71.7% | 28.1% | 0.2% | 14 |
Compiled 20 to 12 computations (40% saved)
| 1× | intervals |
| 25.0ms | 256× | body | 128 | valid |
| 2.0ms | 26× | body | 128 | invalid |
Compiled 43 to 27 computations (37.2% 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 |
| ▶ | 23.3b | (/.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 |
| ✓ | 0.2b | (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) |
| ✓ | 23.0b | (/.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:
| 155.0ms | (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im))) |
| 18.0ms | (-.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:
| 8.0ms | (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im))) |
| 7.0ms | (-.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 |
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 103 | 8 | 111 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 104 | 8 | 112 |
| Status | Error | Program |
| 23.7b | (/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))) (cbrt.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)))) (/.f64 (fma.f64 y.re y.re (*.f64 y.im y.im)) (cbrt.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))))) | |
| 33.8b | (neg.f64 (/.f64 x.re y.im)) | |
| ▶ | 14.2b | (*.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))) |
| 23.7b | (*.f64 (/.f64 1 (*.f64 (cbrt.f64 (fma.f64 y.re y.re (*.f64 y.im y.im))) (cbrt.f64 (fma.f64 y.re y.re (*.f64 y.im y.im))))) (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (cbrt.f64 (fma.f64 y.re y.re (*.f64 y.im y.im))))) | |
| 37.8b | (/.f64 x.im y.re) | |
| 39.4b | (*.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im))) (hypot.f64 y.im y.re)) (/.f64 (sqrt.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im))) (hypot.f64 y.im y.re))) | |
| 32.1b | (-.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)) | |
| 23.4b | (/.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)))) |
Compiled 2885 to 628 computations (78.2% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (hypot.f64 y.im y.re) |
| ✓ | 0.2b | (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) |
| ✓ | 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))) |
| ✓ | 13.2b | (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (hypot.f64 y.im y.re)) |
4 calls:
| 223.0ms | (*.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))) |
| 200.0ms | (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (hypot.f64 y.im y.re)) |
| 25.0ms | (hypot.f64 y.im y.re) |
| 24.0ms | (-.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:
| 23.0ms | (*.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))) |
| 10.0ms | (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (hypot.f64 y.im y.re)) |
| 5.0ms | (-.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 |
| 334× | 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 |
10 alts after pruning (10 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 289 | 6 | 295 |
| Fresh | 3 | 4 | 7 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 293 | 10 | 303 |
| Status | Error | Program |
| ▶ | 14.1b | (/.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)) |
| 39.4b | (*.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im))) (hypot.f64 y.im y.re)) (/.f64 (sqrt.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im))) (hypot.f64 y.im y.re))) | |
| 42.7b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (-.f64 (/.f64 (*.f64 y.re x.im) y.im) x.re)) | |
| 37.8b | (/.f64 x.im y.re) | |
| 32.1b | (-.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)) | |
| 23.3b | (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (*.f64 (hypot.f64 y.im y.re) (hypot.f64 y.im y.re))) | |
| 33.8b | (neg.f64 (/.f64 x.re y.im)) | |
| 14.4b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (/.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)))) | |
| 14.3b | (*.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))))) | |
| 44.3b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) x.im) |
Compiled 8105 to 2533 computations (68.7% 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)) |
| 0.2b | (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) | |
| 13.2b | (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (hypot.f64 y.im y.re)) |
1 calls:
| 194.0ms | (/.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:
| 12.0ms | (/.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 (9 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 317 | 2 | 319 |
| Fresh | 2 | 7 | 9 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 319 | 10 | 329 |
| Status | Error | Program |
| 43.2b | (/.f64 (neg.f64 x.re) (hypot.f64 y.im y.re)) | |
| 37.8b | (/.f64 x.im y.re) | |
| ✓ | 14.1b | (/.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)) |
| 39.4b | (*.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im))) (hypot.f64 y.im y.re)) (/.f64 (sqrt.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im))) (hypot.f64 y.im y.re))) | |
| 14.4b | (/.f64 (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (hypot.f64 y.im y.re)) (*.f64 (sqrt.f64 (hypot.f64 y.im y.re)) (sqrt.f64 (hypot.f64 y.im y.re)))) | |
| 32.1b | (-.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)) | |
| 23.3b | (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (*.f64 (hypot.f64 y.im y.re) (hypot.f64 y.im y.re))) | |
| 33.8b | (neg.f64 (/.f64 x.re y.im)) | |
| ▶ | 14.3b | (*.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))))) |
| 44.3b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) x.im) |
Compiled 8477 to 2103 computations (75.2% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.2b | (/.f64 1 (/.f64 (hypot.f64 y.im y.re) (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)))) |
| 0.2b | (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) | |
| ✓ | 0.2b | (*.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))))) |
| ✓ | 13.3b | (/.f64 (hypot.f64 y.im y.re) (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im))) |
3 calls:
| 393.0ms | (*.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))))) |
| 224.0ms | (/.f64 1 (/.f64 (hypot.f64 y.im y.re) (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)))) |
| 132.0ms | (/.f64 (hypot.f64 y.im y.re) (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im))) |
| 1× | rewrite-expression-head |
| 199× | times-frac_binary64 |
| 146× | add-sqr-sqrt_binary64 |
| 110× | *-un-lft-identity_binary64 |
| 99× | add-cube-cbrt_binary64 |
| 99× | add-exp-log_binary64 |
3 calls:
| 47.0ms | (*.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))))) |
| 14.0ms | (/.f64 1 (/.f64 (hypot.f64 y.im y.re) (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)))) |
| 10.0ms | (/.f64 (hypot.f64 y.im y.re) (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im))) |
| 1× | egg-herbie |
| 455× | times-frac_binary64 |
| 363× | associate-/l*_binary64 |
| 263× | associate-/r*_binary64 |
| 231× | associate-*l*_binary64 |
| 214× | associate-*r*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 378 | 13351 |
| 1 | 1064 | 11363 |
| 2 | 4384 | 11257 |
| 3 | 5146 | 11257 |
10 alts after pruning (8 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 508 | 1 | 509 |
| Fresh | 1 | 7 | 8 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 509 | 10 | 519 |
| Status | Error | Program |
| 43.2b | (/.f64 (neg.f64 x.re) (hypot.f64 y.im y.re)) | |
| 37.8b | (/.f64 x.im y.re) | |
| 28.3b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (/.f64 1 (cbrt.f64 (pow.f64 (/.f64 (hypot.f64 y.im y.re) (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))) 3)))) | |
| 14.4b | (/.f64 (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (hypot.f64 y.im y.re)) (*.f64 (sqrt.f64 (hypot.f64 y.im y.re)) (sqrt.f64 (hypot.f64 y.im y.re)))) | |
| ✓ | 14.1b | (/.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)) |
| 32.1b | (-.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)) | |
| 23.3b | (/.f64 (-.f64 (*.f64 y.re x.im) (*.f64 x.re y.im)) (*.f64 (hypot.f64 y.im y.re) (hypot.f64 y.im y.re))) | |
| 33.8b | (neg.f64 (/.f64 x.re y.im)) | |
| ✓ | 14.3b | (*.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))))) |
| 44.3b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) x.im) |
Compiled 16607 to 5244 computations (68.4% saved)
Total 9.2b remaining (82.2%)
Threshold costs 0b (0%)
Compiled 17943 to 10024 computations (44.1% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 7 | 5.13890299102147e+127 | 1.0795096187577246e+129 | 1.0637981004967216e+128 |
| 6 | 1.2555717542346906e-143 | 1.3706639873012685e-142 | 2.3930967509278203e-143 |
| 10 | -1.3278658839979282e-133 | -1.3471659000824467e-146 | -2.263639590356727e-145 |
| 9 | -4.2043555668513834e+140 | -8.58439819502743e+134 | -2.4390351264177468e+135 |
Compiled 5 to 4 computations (20% saved)
| 1× | egg-herbie |
| 12× | +-commutative_binary64 |
| 12× | sub-neg_binary64 |
| 10× | *-commutative_binary64 |
| 8× | neg-sub0_binary64 |
| 8× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 116 |
| 1 | 45 | 116 |
| 2 | 65 | 116 |
| 3 | 83 | 116 |
| 4 | 95 | 116 |
| 5 | 101 | 116 |
| 6 | 103 | 116 |
| 7 | 103 | 116 |
Compiled 83 to 31 computations (62.7% saved)
| 1× | intervals |
| 951.0ms | 8000× | body | 128 | valid |
| 49.0ms | 472× | body | 128 | invalid |
Compiled 279 to 150 computations (46.2% saved)
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