Time bar (total: 4.9s)
| 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 |
| 15.0ms | 256× | body | 128 | valid |
| 1.0ms | 16× | body | 128 | invalid |
Compiled 43 to 27 computations (37.2% 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 |
| ▶ | 21.9b | (/.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)) |
| ✓ | 21.5b | (/.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))) |
| 9.0ms | (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:
| 2.0ms | (/.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 |
| ▶ | 13.7b | (*.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))) |
| 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)))) | |
| 39.3b | (*.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))) | |
| 36.4b | (/.f64 x.im y.im) | |
| 21.9b | (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (fma.f64 y.re y.re (*.f64 y.im y.im))) | |
| 39.1b | (/.f64 x.re y.re) | |
| 35.8b | (fma.f64 y.re (/.f64 x.re (*.f64 y.im y.im)) (/.f64 x.im y.im)) | |
| 14.4b | (*.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))) | |
| 21.2b | (fma.f64 x.im (/.f64 y.im (fma.f64 y.im y.im (*.f64 y.re y.re))) (/.f64 (*.f64 y.re x.re) (fma.f64 y.im y.im (*.f64 y.re y.re)))) |
Compiled 2328 to 510 computations (78.1% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (/.f64 1 (hypot.f64 y.im y.re)) |
| ✓ | 0.0b | (fma.f64 y.im x.im (*.f64 y.re x.re)) |
| ✓ | 0.2b | (*.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))) |
| ✓ | 12.8b | (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (hypot.f64 y.im y.re)) |
4 calls:
| 114.0ms | (*.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))) |
| 108.0ms | (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (hypot.f64 y.im y.re)) |
| 21.0ms | (/.f64 1 (hypot.f64 y.im y.re)) |
| 9.0ms | (fma.f64 y.im x.im (*.f64 y.re x.re)) |
| 1× | rewrite-expression-head |
| 51× | add-sqr-sqrt_binary64 |
| 43× | times-frac_binary64 |
| 36× | *-un-lft-identity_binary64 |
| 34× | add-cube-cbrt_binary64 |
| 32× | add-exp-log_binary64 |
4 calls:
| 9.0ms | (*.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 1 (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 |
| 872× | times-frac_binary64 |
| 508× | fma-neg_binary64 |
| 381× | fma-def_binary64 |
| 335× | cancel-sign-sub-inv_binary64 |
| 274× | distribute-rgt-in_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 235 | 6511 |
| 1 | 629 | 5720 |
| 2 | 2135 | 5547 |
| 3 | 4879 | 5539 |
| 4 | 5183 | 5539 |
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 279 | 6 | 285 |
| Fresh | 7 | 1 | 8 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 287 | 7 | 294 |
| Status | Error | Program |
| 13.7b | (/.f64 (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (fma.f64 y.im x.im (*.f64 y.re x.re))) (hypot.f64 y.im y.re)) | |
| 32.4b | (fma.f64 (/.f64 y.im y.re) (/.f64 x.im y.re) (/.f64 x.re y.re)) | |
| 32.7b | (fma.f64 (/.f64 x.re y.im) (/.f64 y.re y.im) (/.f64 x.im y.im)) | |
| ▶ | 13.6b | (/.f64 (*.f64 1 (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (hypot.f64 y.im y.re))) (hypot.f64 y.im y.re)) |
| 14.0b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (/.f64 (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (sqrt.f64 (hypot.f64 y.im y.re))) (sqrt.f64 (hypot.f64 y.im y.re)))) | |
| 13.7b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (hypot.f64 y.im y.re))) | |
| 21.2b | (fma.f64 x.im (/.f64 y.im (fma.f64 y.im y.im (*.f64 y.re y.re))) (/.f64 (*.f64 y.re x.re) (fma.f64 y.im y.im (*.f64 y.re y.re)))) |
Compiled 7332 to 2185 computations (70.2% saved)
Found 3 expressions with local error:
| New | Error | Program |
| 0.0b | (fma.f64 y.im x.im (*.f64 y.re x.re)) | |
| ✓ | 0.0b | (/.f64 (*.f64 1 (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (hypot.f64 y.im y.re))) (hypot.f64 y.im y.re)) |
| 12.8b | (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (hypot.f64 y.im y.re)) |
1 calls:
| 113.0ms | (/.f64 (*.f64 1 (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (hypot.f64 y.im y.re))) (hypot.f64 y.im y.re)) |
| 1× | rewrite-expression-head |
| 15× | add-exp-log_binary64 |
| 10× | add-cbrt-cube_binary64 |
| 7× | div-exp_binary64 |
| 4× | cbrt-undiv_binary64 |
| 4× | prod-exp_binary64 |
1 calls:
| 6.0ms | (/.f64 (*.f64 1 (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (hypot.f64 y.im y.re))) (hypot.f64 y.im y.re)) |
| 1× | egg-herbie |
| 659× | fma-def_binary64 |
| 559× | fma-neg_binary64 |
| 468× | times-frac_binary64 |
| 356× | associate-/l*_binary64 |
| 257× | distribute-rgt-neg-in_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 100 | 2092 |
| 1 | 242 | 1844 |
| 2 | 785 | 1742 |
| 3 | 2939 | 1724 |
| 4 | 4729 | 1688 |
| 5 | 5137 | 1688 |
9 alts after pruning (8 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 170 | 2 | 172 |
| Fresh | 0 | 6 | 6 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 170 | 9 | 179 |
| Status | Error | Program |
| ▶ | 13.7b | (/.f64 (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (fma.f64 y.im x.im (*.f64 y.re x.re))) (hypot.f64 y.im y.re)) |
| 32.4b | (fma.f64 (/.f64 y.im y.re) (/.f64 x.im y.re) (/.f64 x.re y.re)) | |
| 32.7b | (fma.f64 (/.f64 x.re y.im) (/.f64 y.re y.im) (/.f64 x.im y.im)) | |
| ✓ | 13.6b | (/.f64 (*.f64 1 (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (hypot.f64 y.im y.re))) (hypot.f64 y.im y.re)) |
| 14.0b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (/.f64 (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (sqrt.f64 (hypot.f64 y.im y.re))) (sqrt.f64 (hypot.f64 y.im y.re)))) | |
| 47.3b | (/.f64 (*.f64 1 (neg.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re))) (hypot.f64 y.im y.re)) | |
| 42.6b | (/.f64 (*.f64 1 (fma.f64 (/.f64 y.im y.re) x.im x.re)) (hypot.f64 y.im y.re)) | |
| 13.7b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (hypot.f64 y.im y.re))) | |
| 21.2b | (fma.f64 x.im (/.f64 y.im (fma.f64 y.im y.im (*.f64 y.re y.re))) (/.f64 (*.f64 y.re x.re) (fma.f64 y.im y.im (*.f64 y.re y.re)))) |
Compiled 4202 to 1302 computations (69% saved)
Found 4 expressions with local error:
| New | Error | Program |
| 0.0b | (/.f64 1 (hypot.f64 y.im y.re)) | |
| 0.0b | (fma.f64 y.im x.im (*.f64 y.re x.re)) | |
| ✓ | 0.0b | (/.f64 (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (fma.f64 y.im x.im (*.f64 y.re x.re))) (hypot.f64 y.im y.re)) |
| ✓ | 12.9b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (fma.f64 y.im x.im (*.f64 y.re x.re))) |
2 calls:
| 115.0ms | (/.f64 (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (fma.f64 y.im x.im (*.f64 y.re x.re))) (hypot.f64 y.im y.re)) |
| 103.0ms | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (fma.f64 y.im x.im (*.f64 y.re x.re))) |
| 1× | rewrite-expression-head |
| 26× | add-exp-log_binary64 |
| 19× | add-sqr-sqrt_binary64 |
| 16× | add-cbrt-cube_binary64 |
| 14× | times-frac_binary64 |
| 13× | associate-*l*_binary64 |
2 calls:
| 8.0ms | (/.f64 (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (fma.f64 y.im x.im (*.f64 y.re x.re))) (hypot.f64 y.im y.re)) |
| 5.0ms | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (fma.f64 y.im x.im (*.f64 y.re x.re))) |
| 1× | egg-herbie |
| 452× | associate-/r*_binary64 |
| 413× | fma-neg_binary64 |
| 396× | associate-/l/_binary64 |
| 377× | associate-*l/_binary64 |
| 272× | associate-/r/_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 165 | 4277 |
| 1 | 447 | 3558 |
| 2 | 1581 | 3392 |
| 3 | 4313 | 3392 |
| 4 | 4787 | 3380 |
| 5 | 4975 | 3380 |
7 alts after pruning (6 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 245 | 3 | 248 |
| Fresh | 4 | 3 | 7 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 0 | 1 |
| Total | 250 | 7 | 257 |
| Status | Error | Program |
| 42.6b | (/.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re) (hypot.f64 y.im y.re)) | |
| 21.2b | (fma.f64 x.im (/.f64 y.im (fma.f64 y.im y.im (*.f64 y.re y.re))) (/.f64 (*.f64 y.re x.re) (fma.f64 y.im y.im (*.f64 y.re y.re)))) | |
| 32.7b | (fma.f64 (/.f64 x.re y.im) (/.f64 y.re y.im) (/.f64 x.im y.im)) | |
| ✓ | 13.7b | (/.f64 (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (fma.f64 y.im x.im (*.f64 y.re x.re))) (hypot.f64 y.im y.re)) |
| 47.3b | (/.f64 (neg.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re)) (hypot.f64 y.im y.re)) | |
| 14.0b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (/.f64 (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (sqrt.f64 (hypot.f64 y.im y.re))) (sqrt.f64 (hypot.f64 y.im y.re)))) | |
| 13.8b | (/.f64 (/.f64 1 (hypot.f64 y.im y.re)) (/.f64 (hypot.f64 y.im y.re) (fma.f64 y.im x.im (*.f64 y.re x.re)))) |
Compiled 5814 to 1986 computations (65.8% saved)
Total 9.9b remaining (98.5%)
Threshold costs 0b (0%)
Compiled 11483 to 6704 computations (41.6% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 9 | 4.2571927394273145e+43 | 3.0349045419026963e+52 | 2.9662526794780484e+52 |
| 7 | 6.146168223893681e-215 | 5.373071921704079e-213 | 1.7823166624850088e-214 |
| 8 | -2.1040684640661418e-256 | -2.4887846950895897e-259 | -1.9783308039270236e-256 |
| 9 | -5.2877111965278726e+160 | -1.4463384618016356e+152 | -4.471960695254782e+155 |
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 | 34 | 111 |
| 1 | 43 | 111 |
| 2 | 50 | 109 |
| 3 | 58 | 109 |
| 4 | 61 | 109 |
| 5 | 62 | 109 |
| 6 | 60 | 109 |
Compiled 80 to 31 computations (61.3% saved)
| 1× | intervals |
| 452.0ms | 8000× | body | 128 | valid |
| 26.0ms | 473× | body | 128 | invalid |
Compiled 237 to 117 computations (50.6% saved)
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