Time bar (total: 7.3s)
| 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 |
| 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)
| 1.0s | 8256× | body | 128 | valid |
| 61.0ms | 499× | body | 128 | invalid |
Compiled 59 to 35 computations (40.7% saved)
| 1× | egg-herbie |
| 6× | fma-def_binary64 |
| 2× | +-commutative_binary64 |
| 2× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 18 |
| 1 | 18 | 18 |
| 2 | 22 | 18 |
| 3 | 22 | 18 |
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 |
| ▶ | 27.7b | (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im))) |
Compiled 66 to 32 computations (51.5% saved)
Found 2 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (fma.f64 x.re y.re (*.f64 x.im y.im)) |
| ✓ | 27.1b | (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im))) |
2 calls:
| 71.0ms | (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im))) |
| 8.0ms | (fma.f64 x.re y.re (*.f64 x.im 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:
| 10.0ms | (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im))) |
| 0.0ms | (fma.f64 x.re y.re (*.f64 x.im y.im)) |
| 1× | egg-herbie |
| 687× | fma-def_binary64 |
| 413× | associate-/l/_binary64 |
| 364× | fma-neg_binary64 |
| 246× | distribute-rgt-neg-in_binary64 |
| 245× | distribute-lft-neg-in_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 97 | 2544 |
| 1 | 202 | 2411 |
| 2 | 606 | 2327 |
| 3 | 2192 | 2279 |
| 4 | 5101 | 2279 |
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 86 | 9 | 95 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 87 | 9 | 96 |
| Status | Error | Program |
| 27.7b | (/.f64 (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (hypot.f64 y.im y.re)) (sqrt.f64 (fma.f64 y.re y.re (*.f64 y.im y.im)))) | |
| 19.6b | (*.f64 (/.f64 (*.f64 (cbrt.f64 (fma.f64 y.im x.im (*.f64 y.re x.re))) (cbrt.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)))) (hypot.f64 y.im y.re)) (/.f64 (cbrt.f64 (fma.f64 y.im x.im (*.f64 y.re x.re))) (hypot.f64 y.im y.re))) | |
| 35.3b | (+.f64 (/.f64 x.im y.im) (*.f64 (/.f64 y.re (*.f64 y.im y.im)) (-.f64 x.re (/.f64 (*.f64 x.im y.re) y.im)))) | |
| 28.2b | (/.f64 (*.f64 (cbrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) (cbrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)))) (/.f64 (fma.f64 y.re y.re (*.f64 y.im y.im)) (cbrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))))) | |
| 37.3b | (/.f64 (*.f64 y.im x.im) (fma.f64 y.im y.im (*.f64 y.re y.re))) | |
| ▶ | 19.0b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (hypot.f64 y.im y.re))) |
| 42.0b | (*.f64 (/.f64 (sqrt.f64 (fma.f64 y.im x.im (*.f64 y.re x.re))) (hypot.f64 y.im y.re)) (/.f64 (sqrt.f64 (fma.f64 y.im x.im (*.f64 y.re x.re))) (hypot.f64 y.im y.re))) | |
| 38.5b | (/.f64 x.re y.re) | |
| 33.8b | (fma.f64 y.re (/.f64 x.re (*.f64 y.im y.im)) (/.f64 x.im y.im)) |
Compiled 2372 to 526 computations (77.8% saved)
Found 3 expressions with local error:
| New | Error | Program |
| ✓ | 0.3b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (hypot.f64 y.im y.re))) |
| ✓ | 0.5b | (fma.f64 y.im x.im (*.f64 y.re x.re)) |
| ✓ | 17.7b | (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (hypot.f64 y.im y.re)) |
3 calls:
| 91.0ms | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (hypot.f64 y.im y.re))) |
| 90.0ms | (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (hypot.f64 y.im y.re)) |
| 11.0ms | (fma.f64 y.im x.im (*.f64 y.re x.re)) |
| 1× | rewrite-expression-head |
| 42× | add-sqr-sqrt_binary64 |
| 34× | times-frac_binary64 |
| 27× | *-un-lft-identity_binary64 |
| 27× | add-exp-log_binary64 |
| 25× | add-cube-cbrt_binary64 |
3 calls:
| 8.0ms | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (hypot.f64 y.im y.re))) |
| 2.0ms | (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (hypot.f64 y.im y.re)) |
| 0.0ms | (fma.f64 y.im x.im (*.f64 y.re x.re)) |
| 1× | egg-herbie |
| 735× | times-frac_binary64 |
| 339× | fma-neg_binary64 |
| 266× | distribute-rgt-in_binary64 |
| 259× | fma-def_binary64 |
| 254× | distribute-lft-in_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 186 | 5547 |
| 1 | 490 | 4784 |
| 2 | 1686 | 4627 |
| 3 | 4606 | 4609 |
| 4 | 4975 | 4609 |
| 5 | 4994 | 4609 |
| 6 | 4978 | 4609 |
10 alts after pruning (9 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 213 | 8 | 221 |
| Fresh | 7 | 1 | 8 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 220 | 10 | 230 |
| Status | Error | Program |
| 28.2b | (/.f64 (*.f64 (cbrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) (cbrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)))) (/.f64 (fma.f64 y.re y.re (*.f64 y.im y.im)) (cbrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))))) | |
| 26.9b | (fma.f64 (/.f64 x.re (fma.f64 y.im y.im (*.f64 y.re y.re))) y.re (/.f64 (*.f64 y.im x.im) (fma.f64 y.im y.im (*.f64 y.re y.re)))) | |
| 27.7b | (+.f64 (/.f64 (*.f64 y.im x.im) (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2))) (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2)))) | |
| 42.6b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (neg.f64 (fma.f64 (/.f64 x.re y.im) y.re x.im))) | |
| 31.4b | (fma.f64 (/.f64 x.re y.im) (/.f64 y.re y.im) (/.f64 x.im y.im)) | |
| 32.9b | (fma.f64 (/.f64 y.im y.re) (/.f64 x.im y.re) (/.f64 x.re y.re)) | |
| ✓ | 19.0b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (hypot.f64 y.im y.re))) |
| 19.5b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (/.f64 (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (*.f64 (cbrt.f64 (hypot.f64 y.im y.re)) (cbrt.f64 (hypot.f64 y.im y.re)))) (cbrt.f64 (hypot.f64 y.im y.re)))) | |
| 43.0b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (neg.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re))) | |
| ▶ | 18.9b | (/.f64 (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re)) |
Compiled 5827 to 1596 computations (72.6% saved)
Found 3 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (fma.f64 x.re y.re (*.f64 y.im x.im)) |
| ✓ | 0.1b | (/.f64 (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re)) |
| ✓ | 17.7b | (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (hypot.f64 y.im y.re)) |
3 calls:
| 117.0ms | (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (hypot.f64 y.im y.re)) |
| 92.0ms | (/.f64 (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re)) |
| 11.0ms | (fma.f64 x.re y.re (*.f64 y.im x.im)) |
| 1× | rewrite-expression-head |
| 84× | times-frac_binary64 |
| 53× | *-un-lft-identity_binary64 |
| 53× | add-sqr-sqrt_binary64 |
| 53× | add-cube-cbrt_binary64 |
| 16× | associate-/l*_binary64 |
3 calls:
| 4.0ms | (/.f64 (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re)) |
| 2.0ms | (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (hypot.f64 y.im y.re)) |
| 0.0ms | (fma.f64 x.re y.re (*.f64 y.im x.im)) |
| 1× | egg-herbie |
| 701× | times-frac_binary64 |
| 519× | associate-/l*_binary64 |
| 443× | fma-neg_binary64 |
| 384× | associate-/r*_binary64 |
| 364× | associate-/l/_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 221 | 6578 |
| 1 | 537 | 5929 |
| 2 | 1451 | 5628 |
| 3 | 4664 | 5628 |
| 4 | 4986 | 5628 |
7 alts after pruning (6 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 249 | 2 | 251 |
| Fresh | 4 | 4 | 8 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 254 | 7 | 261 |
| Status | Error | Program |
| ▶ | 19.2b | (/.f64 1 (/.f64 (hypot.f64 y.im y.re) (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (hypot.f64 y.im y.re)))) |
| 42.6b | (/.f64 (neg.f64 (fma.f64 (/.f64 x.re y.im) y.re x.im)) (hypot.f64 y.im y.re)) | |
| 26.9b | (fma.f64 (/.f64 x.re (fma.f64 y.im y.im (*.f64 y.re y.re))) y.re (/.f64 (*.f64 y.im x.im) (fma.f64 y.im y.im (*.f64 y.re y.re)))) | |
| 31.4b | (fma.f64 (/.f64 x.re y.im) (/.f64 y.re y.im) (/.f64 x.im y.im)) | |
| 32.9b | (fma.f64 (/.f64 y.im y.re) (/.f64 x.im y.re) (/.f64 x.re y.re)) | |
| ✓ | 19.0b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (hypot.f64 y.im y.re))) |
| 43.0b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (neg.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re))) |
Compiled 6481 to 1198 computations (81.5% saved)
Found 4 expressions with local error:
| New | Error | Program |
| 0.0b | (fma.f64 x.re y.re (*.f64 y.im x.im)) | |
| ✓ | 0.0b | (/.f64 (hypot.f64 y.im y.re) (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (hypot.f64 y.im y.re))) |
| ✓ | 0.4b | (/.f64 1 (/.f64 (hypot.f64 y.im y.re) (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (hypot.f64 y.im y.re)))) |
| 17.7b | (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (hypot.f64 y.im y.re)) |
2 calls:
| 109.0ms | (/.f64 1 (/.f64 (hypot.f64 y.im y.re) (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (hypot.f64 y.im y.re)))) |
| 57.0ms | (/.f64 (hypot.f64 y.im y.re) (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (hypot.f64 y.im y.re))) |
| 1× | rewrite-expression-head |
| 471× | times-frac_binary64 |
| 229× | *-un-lft-identity_binary64 |
| 229× | add-sqr-sqrt_binary64 |
| 229× | add-cube-cbrt_binary64 |
| 57× | associate-/r*_binary64 |
2 calls:
| 12.0ms | (/.f64 1 (/.f64 (hypot.f64 y.im y.re) (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (hypot.f64 y.im y.re)))) |
| 4.0ms | (/.f64 (hypot.f64 y.im y.re) (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (hypot.f64 y.im y.re))) |
| 1× | egg-herbie |
| 684× | fma-def_binary64 |
| 413× | cancel-sign-sub-inv_binary64 |
| 313× | associate-/r/_binary64 |
| 264× | times-frac_binary64 |
| 255× | associate-/l*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 354 | 16097 |
| 1 | 866 | 14499 |
| 2 | 3275 | 13677 |
| 3 | 4951 | 13677 |
| 4 | 5149 | 13677 |
8 alts after pruning (6 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 548 | 1 | 549 |
| Fresh | 0 | 5 | 5 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 548 | 8 | 556 |
| Status | Error | Program |
| 43.4b | (/.f64 1 (/.f64 (hypot.f64 y.im y.re) (fma.f64 (/.f64 x.re y.im) y.re x.im))) | |
| 43.0b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (neg.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re))) | |
| ✓ | 19.2b | (/.f64 1 (/.f64 (hypot.f64 y.im y.re) (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (hypot.f64 y.im y.re)))) |
| 42.6b | (/.f64 (neg.f64 (fma.f64 (/.f64 x.re y.im) y.re x.im)) (hypot.f64 y.im y.re)) | |
| 26.9b | (fma.f64 (/.f64 x.re (fma.f64 y.im y.im (*.f64 y.re y.re))) y.re (/.f64 (*.f64 y.im x.im) (fma.f64 y.im y.im (*.f64 y.re y.re)))) | |
| 31.4b | (fma.f64 (/.f64 x.re y.im) (/.f64 y.re y.im) (/.f64 x.im y.im)) | |
| 32.9b | (fma.f64 (/.f64 y.im y.re) (/.f64 x.im y.re) (/.f64 x.re y.re)) | |
| ✓ | 19.0b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (hypot.f64 y.im y.re))) |
Compiled 17508 to 3924 computations (77.6% saved)
Total 10.4b remaining (98.2%)
Threshold costs 0b (0%)
Compiled 17683 to 10204 computations (42.3% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 7 | 1.1456007628646215e+123 | 5.49901634639545e+124 | 9.284273264643539e+123 |
| 7 | 3.0362854138874266e-121 | 1.9464841101342838e-119 | 6.830966876910007e-121 |
| 7 | -3.256477903613626e-78 | -1.7397782698079408e-80 | -1.789042358826724e-80 |
| 8 | -2.4900744798996e+120 | -1.2547037131966035e+116 | -2.2683578496950447e+118 |
Compiled 5 to 4 computations (20% saved)
| 1× | egg-herbie |
| 5× | *-commutative_binary64 |
| 3× | +-commutative_binary64 |
| 2× | sub-neg_binary64 |
| 2× | neg-sub0_binary64 |
| 2× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 113 |
| 1 | 50 | 113 |
| 2 | 54 | 113 |
| 3 | 57 | 113 |
| 4 | 58 | 113 |
| 5 | 57 | 113 |
Compiled 304 to 152 computations (50% saved)
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