Time bar (total: 4.8s)
| 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 |
| 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)
| 1.1s | 8256× | body | 128 | valid |
| 56.0ms | 449× | 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 |
| ▶ | 22.9b | (/.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 |
| ✓ | 0.5b | (fma.f64 x.re y.re (*.f64 x.im y.im)) |
| ✓ | 22.5b | (/.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:
| 88.0ms | (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im))) |
| 11.0ms | (fma.f64 x.re y.re (*.f64 x.im y.im)) |
| 2× | batch-egg-rewrite |
| 512× | log-prod_binary64 |
| 348× | prod-diff_binary64 |
| 186× | expm1-udef_binary64 |
| 186× | log1p-udef_binary64 |
| 175× | pow3_binary64 |
2 calls:
| 84.0ms | (fma.f64 x.re y.re (*.f64 x.im y.im)) |
| 84.0ms | (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 26 |
| 1 | 203 | 25 |
| 2 | 2457 | 25 |
| 3 | 4976 | 25 |
| 4 | 5153 | 25 |
| 0 | 0 | 0 |
| 1 | 0 | 0 |
| 1× | egg-herbie |
| 608× | associate-*l/_binary64 |
| 519× | fma-def_binary64 |
| 472× | associate-/r/_binary64 |
| 341× | fma-neg_binary64 |
| 285× | associate-/l/_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 1626 |
| 1 | 112 | 1542 |
| 2 | 352 | 1458 |
| 3 | 1583 | 1410 |
| 4 | 5200 | 1410 |
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 84 | 7 | 91 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 85 | 7 | 92 |
| Status | Error | Program |
| ▶ | 12.4b | (*.f64 (/.f64 1 (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))) |
| 38.5b | (/.f64 x.re y.re) | |
| 22.9b | (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (fma.f64 y.re y.re (*.f64 y.im y.im))) | |
| 36.3b | (fma.f64 x.im (/.f64 y.im (*.f64 y.re y.re)) (/.f64 x.re y.re)) | |
| 39.2b | (pow.f64 (/.f64 (sqrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) (hypot.f64 y.re y.im)) 2) | |
| 34.8b | (+.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)))) | |
| 35.3b | (/.f64 x.im y.im) |
Compiled 1860 to 651 computations (65% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (/.f64 1 (hypot.f64 y.re y.im)) |
| ✓ | 0.2b | (*.f64 (/.f64 1 (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))) |
| 0.5b | (fma.f64 x.re y.re (*.f64 x.im y.im)) | |
| ✓ | 11.5b | (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)) |
3 calls:
| 108.0ms | (*.f64 (/.f64 1 (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))) |
| 99.0ms | (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)) |
| 18.0ms | (/.f64 1 (hypot.f64 y.re y.im)) |
| 2× | batch-egg-rewrite |
| 614× | log-prod_binary64 |
| 254× | prod-diff_binary64 |
| 213× | expm1-udef_binary64 |
| 213× | log1p-udef_binary64 |
| 200× | log-pow_binary64 |
3 calls:
| 78.0ms | (/.f64 1 (hypot.f64 y.re y.im)) |
| 78.0ms | (*.f64 (/.f64 1 (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))) |
| 78.0ms | (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 41 |
| 1 | 245 | 38 |
| 2 | 2944 | 38 |
| 3 | 5627 | 38 |
| 0 | 0 | 0 |
| 1 | 0 | 0 |
| 1× | egg-herbie |
| 617× | fma-neg_binary64 |
| 600× | times-frac_binary64 |
| 438× | associate-/l*_binary64 |
| 337× | associate-/r*_binary64 |
| 329× | fma-def_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 119 | 3272 |
| 1 | 376 | 2866 |
| 2 | 1282 | 2666 |
| 3 | 4741 | 2658 |
| 4 | 5167 | 2658 |
7 alts after pruning (6 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 238 | 4 | 242 |
| Fresh | 4 | 2 | 6 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 242 | 7 | 249 |
| Status | Error | Program |
| 22.9b | (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (fma.f64 y.re y.re (*.f64 y.im y.im))) | |
| 33.5b | (fma.f64 (/.f64 y.im y.re) (/.f64 x.im y.re) (/.f64 x.re y.re)) | |
| 30.7b | (fma.f64 (/.f64 x.re y.im) (/.f64 y.re y.im) (/.f64 x.im y.im)) | |
| ▶ | 13.0b | (/.f64 1 (*.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.re y.re (*.f64 x.im y.im))) (hypot.f64 y.re y.im))) |
| ✓ | 12.4b | (*.f64 (/.f64 1 (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))) |
| 34.8b | (+.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)))) | |
| 44.4b | (*.f64 (/.f64 1 (hypot.f64 y.re y.im)) (fma.f64 (/.f64 y.im y.re) x.im x.re)) |
Compiled 5468 to 2008 computations (63.3% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.2b | (*.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.re y.re (*.f64 x.im y.im))) (hypot.f64 y.re y.im)) |
| 0.5b | (fma.f64 x.re y.re (*.f64 x.im y.im)) | |
| ✓ | 0.7b | (/.f64 1 (*.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.re y.re (*.f64 x.im y.im))) (hypot.f64 y.re y.im))) |
| ✓ | 11.6b | (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.re y.re (*.f64 x.im y.im))) |
3 calls:
| 111.0ms | (/.f64 1 (*.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.re y.re (*.f64 x.im y.im))) (hypot.f64 y.re y.im))) |
| 73.0ms | (*.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.re y.re (*.f64 x.im y.im))) (hypot.f64 y.re y.im)) |
| 66.0ms | (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.re y.re (*.f64 x.im y.im))) |
| 2× | batch-egg-rewrite |
| 617× | log-prod_binary64 |
| 245× | prod-diff_binary64 |
| 217× | expm1-udef_binary64 |
| 217× | log1p-udef_binary64 |
| 203× | log-pow_binary64 |
3 calls:
| 82.0ms | (*.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.re y.re (*.f64 x.im y.im))) (hypot.f64 y.re y.im)) |
| 82.0ms | (/.f64 1 (*.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.re y.re (*.f64 x.im y.im))) (hypot.f64 y.re y.im))) |
| 82.0ms | (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.re y.re (*.f64 x.im y.im))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 57 |
| 1 | 246 | 51 |
| 2 | 2960 | 51 |
| 3 | 5643 | 51 |
| 0 | 0 | 0 |
| 1 | 0 | 0 |
| 1× | egg-herbie |
| 824× | cancel-sign-sub-inv_binary64 |
| 345× | times-frac_binary64 |
| 314× | fma-neg_binary64 |
| 312× | sub-neg_binary64 |
| 257× | associate-/l*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 199 | 6708 |
| 1 | 710 | 5964 |
| 2 | 3296 | 5946 |
| 3 | 5327 | 5946 |
7 alts after pruning (5 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 227 | 0 | 227 |
| Fresh | 0 | 5 | 5 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 227 | 7 | 234 |
| Status | Error | Program |
| ▶ | 22.9b | (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (fma.f64 y.re y.re (*.f64 y.im y.im))) |
| 33.5b | (fma.f64 (/.f64 y.im y.re) (/.f64 x.im y.re) (/.f64 x.re y.re)) | |
| 30.7b | (fma.f64 (/.f64 x.re y.im) (/.f64 y.re y.im) (/.f64 x.im y.im)) | |
| ✓ | 13.0b | (/.f64 1 (*.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.re y.re (*.f64 x.im y.im))) (hypot.f64 y.re y.im))) |
| ✓ | 12.4b | (*.f64 (/.f64 1 (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))) |
| 34.8b | (+.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)))) | |
| 44.4b | (*.f64 (/.f64 1 (hypot.f64 y.re y.im)) (fma.f64 (/.f64 y.im y.re) x.im x.re)) |
Compiled 6513 to 2760 computations (57.6% saved)
Found 2 expressions with local error:
| New | Error | Program |
| ✓ | 0.2b | (fma.f64 y.im x.im (*.f64 y.re x.re)) |
| ✓ | 22.5b | (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (fma.f64 y.re y.re (*.f64 y.im y.im))) |
2 calls:
| 81.0ms | (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (fma.f64 y.re y.re (*.f64 y.im y.im))) |
| 9.0ms | (fma.f64 y.im x.im (*.f64 y.re x.re)) |
| 2× | batch-egg-rewrite |
| 512× | log-prod_binary64 |
| 348× | prod-diff_binary64 |
| 186× | expm1-udef_binary64 |
| 186× | log1p-udef_binary64 |
| 175× | pow3_binary64 |
2 calls:
| 87.0ms | (fma.f64 y.im x.im (*.f64 y.re x.re)) |
| 87.0ms | (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (fma.f64 y.re y.re (*.f64 y.im y.im))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 26 |
| 1 | 203 | 25 |
| 2 | 2457 | 25 |
| 3 | 4979 | 25 |
| 4 | 5156 | 25 |
| 0 | 0 | 0 |
| 1 | 0 | 0 |
| 1× | egg-herbie |
| 608× | associate-*l/_binary64 |
| 519× | fma-def_binary64 |
| 472× | associate-/r/_binary64 |
| 341× | fma-neg_binary64 |
| 285× | associate-/l/_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 1626 |
| 1 | 112 | 1542 |
| 2 | 352 | 1458 |
| 3 | 1583 | 1410 |
| 4 | 5200 | 1410 |
7 alts after pruning (4 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 90 | 0 | 90 |
| Fresh | 0 | 4 | 4 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 90 | 7 | 97 |
| Status | Error | Program |
| ✓ | 22.9b | (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (fma.f64 y.re y.re (*.f64 y.im y.im))) |
| 33.5b | (fma.f64 (/.f64 y.im y.re) (/.f64 x.im y.re) (/.f64 x.re y.re)) | |
| 30.7b | (fma.f64 (/.f64 x.re y.im) (/.f64 y.re y.im) (/.f64 x.im y.im)) | |
| ✓ | 13.0b | (/.f64 1 (*.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.re y.re (*.f64 x.im y.im))) (hypot.f64 y.re y.im))) |
| ✓ | 12.4b | (*.f64 (/.f64 1 (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))) |
| 34.8b | (+.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)))) | |
| 44.4b | (*.f64 (/.f64 1 (hypot.f64 y.re y.im)) (fma.f64 (/.f64 y.im y.re) x.im x.re)) |
Compiled 1766 to 593 computations (66.4% saved)
Total 10.1b remaining (97.8%)
Threshold costs 0b (0%)
Compiled 7293 to 4549 computations (37.6% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 9 | 3.366100743382238e+180 | 6.148811803831594e+186 | 3.408225542871235e+180 |
| 6 | 7.633393291458624e-213 | 8.584019608971907e-212 | 4.5110647824345223e-212 |
| 11 | -7.076260634261073e-232 | -9.681289010105418e-256 | -4.084260136662665e-238 |
| 10 | -1.2042930726255398e+162 | -4.505010813841915e+149 | -9.705756685731516e+151 |
Compiled 5 to 4 computations (20% saved)
| 1× | egg-herbie |
| 6× | *-commutative_binary64 |
| 3× | +-commutative_binary64 |
| 3× | sub-neg_binary64 |
| 3× | neg-sub0_binary64 |
| 3× | neg-mul-1_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 111 |
| 1 | 45 | 111 |
| 2 | 52 | 109 |
| 3 | 60 | 109 |
| 4 | 63 | 109 |
| 5 | 64 | 109 |
| 6 | 62 | 109 |
Compiled 282 to 135 computations (52.1% saved)
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