Time bar (total: 10.2s)
| 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 |
| 19.0ms | 256× | body | 128 | valid |
| 1.0ms | 18× | 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 |
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 1 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 1 | 2 | 3 |
| Status | Error | Program |
| ▶ | 28.2b | (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) |
Compiled 70 to 36 computations (48.6% saved)
Found 2 expressions with local error:
| New | Error | Program |
| ✓ | 0.7b | (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) |
| ✓ | 27.7b | (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) |
2 calls:
| 188.0ms | (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) |
| 10.0ms | (+.f64 (*.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:
| 6.0ms | (/.f64 (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))) |
| 3.0ms | (+.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)) |
| 1× | egg-herbie |
| 472× | associate-*l*_binary64 |
| 412× | fma-def_binary64 |
| 396× | associate-*r*_binary64 |
| 349× | times-frac_binary64 |
| 329× | fma-neg_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 121 | 2682 |
| 1 | 341 | 2585 |
| 2 | 1168 | 2501 |
| 3 | 4542 | 2489 |
| 4 | 4947 | 2489 |
| 5 | 4982 | 2489 |
6 alts after pruning (6 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 102 | 6 | 108 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 103 | 6 | 109 |
| Status | Error | Program |
| ▶ | 18.5b | (*.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))) |
| 26.9b | (fma.f64 (/.f64 y.im (fma.f64 y.im y.im (*.f64 y.re y.re))) x.im (/.f64 (*.f64 y.re x.re) (fma.f64 y.im y.im (*.f64 y.re y.re)))) | |
| 43.6b | (/.f64 (-.f64 (*.f64 (*.f64 x.re y.re) (*.f64 x.re y.re)) (*.f64 (*.f64 x.im y.im) (*.f64 x.im y.im))) (*.f64 (fma.f64 y.im y.im (*.f64 y.re y.re)) (-.f64 (*.f64 y.re x.re) (*.f64 y.im x.im)))) | |
| 28.5b | (*.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)))) (/.f64 (cbrt.f64 (fma.f64 y.im x.im (*.f64 y.re x.re))) (fma.f64 y.im y.im (*.f64 y.re y.re)))) | |
| 30.8b | (fma.f64 (/.f64 y.im y.re) (/.f64 x.im y.re) (/.f64 x.re y.re)) | |
| 34.0b | (fma.f64 (/.f64 y.re y.im) (/.f64 x.re y.im) (/.f64 x.im y.im)) |
Compiled 2844 to 563 computations (80.2% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (/.f64 1 (hypot.f64 y.im y.re)) |
| ✓ | 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)) |
| ✓ | 17.3b | (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (hypot.f64 y.im y.re)) |
4 calls:
| 115.0ms | (*.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))) |
| 95.0ms | (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (hypot.f64 y.im y.re)) |
| 18.0ms | (/.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:
| 8.0ms | (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (hypot.f64 y.im y.re)) |
| 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 1 (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 |
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 280 | 5 | 285 |
| Fresh | 2 | 3 | 5 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 283 | 8 | 291 |
| Status | Error | Program |
| 19.0b | (*.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)))) | |
| 18.7b | (*.f64 (/.f64 (/.f64 1 (sqrt.f64 (hypot.f64 y.im y.re))) (sqrt.f64 (hypot.f64 y.im y.re))) (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (hypot.f64 y.im y.re))) | |
| 43.6b | (/.f64 (-.f64 (*.f64 (*.f64 x.re y.re) (*.f64 x.re y.re)) (*.f64 (*.f64 x.im y.im) (*.f64 x.im y.im))) (*.f64 (fma.f64 y.im y.im (*.f64 y.re y.re)) (-.f64 (*.f64 y.re x.re) (*.f64 y.im x.im)))) | |
| ▶ | 18.4b | (/.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)) |
| 43.7b | (*.f64 (/.f64 1 (hypot.f64 y.im y.re)) (neg.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re))) | |
| 30.8b | (fma.f64 (/.f64 y.im y.re) (/.f64 x.im y.re) (/.f64 x.re y.re)) | |
| 18.6b | (*.f64 (/.f64 1 (sqrt.f64 (hypot.f64 y.im y.re))) (/.f64 (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (hypot.f64 y.im y.re)) (sqrt.f64 (hypot.f64 y.im y.re)))) | |
| 34.0b | (fma.f64 (/.f64 y.re y.im) (/.f64 x.re y.im) (/.f64 x.im y.im)) |
Compiled 7416 to 2225 computations (70% saved)
Found 3 expressions with local error:
| New | Error | Program |
| ✓ | 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)) |
| ✓ | 0.3b | (fma.f64 x.re y.re (*.f64 y.im x.im)) |
| ✓ | 17.3b | (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (hypot.f64 y.im y.re)) |
3 calls:
| 104.0ms | (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (hypot.f64 y.im y.re)) |
| 102.0ms | (/.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)) |
| 9.0ms | (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:
| 8.0ms | (/.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 |
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 248 | 3 | 251 |
| Fresh | 3 | 4 | 7 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 251 | 8 | 259 |
| Status | Error | Program |
| 43.7b | (/.f64 (neg.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re)) (hypot.f64 y.im y.re)) | |
| ✓ | 18.4b | (/.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)) |
| 19.4b | (/.f64 1 (*.f64 (hypot.f64 y.im y.re) (/.f64 (hypot.f64 y.im y.re) (fma.f64 y.im x.im (*.f64 y.re x.re))))) | |
| ▶ | 18.7b | (*.f64 (/.f64 (/.f64 1 (sqrt.f64 (hypot.f64 y.im y.re))) (sqrt.f64 (hypot.f64 y.im y.re))) (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (hypot.f64 y.im y.re))) |
| 43.6b | (/.f64 (-.f64 (*.f64 (*.f64 x.re y.re) (*.f64 x.re y.re)) (*.f64 (*.f64 x.im y.im) (*.f64 x.im y.im))) (*.f64 (fma.f64 y.im y.im (*.f64 y.re y.re)) (-.f64 (*.f64 y.re x.re) (*.f64 y.im x.im)))) | |
| 19.0b | (/.f64 (/.f64 (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (*.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))) (hypot.f64 y.im y.re)) | |
| 30.8b | (fma.f64 (/.f64 y.im y.re) (/.f64 x.im y.re) (/.f64 x.re y.re)) | |
| 34.0b | (fma.f64 (/.f64 y.re y.im) (/.f64 x.re y.im) (/.f64 x.im y.im)) |
Compiled 6575 to 1236 computations (81.2% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.3b | (*.f64 (/.f64 (/.f64 1 (sqrt.f64 (hypot.f64 y.im y.re))) (sqrt.f64 (hypot.f64 y.im y.re))) (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (hypot.f64 y.im y.re))) |
| ✓ | 0.3b | (/.f64 (/.f64 1 (sqrt.f64 (hypot.f64 y.im y.re))) (sqrt.f64 (hypot.f64 y.im y.re))) |
| 0.5b | (fma.f64 y.im x.im (*.f64 y.re x.re)) | |
| 17.3b | (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (hypot.f64 y.im y.re)) |
2 calls:
| 102.0ms | (*.f64 (/.f64 (/.f64 1 (sqrt.f64 (hypot.f64 y.im y.re))) (sqrt.f64 (hypot.f64 y.im y.re))) (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (hypot.f64 y.im y.re))) |
| 19.0ms | (/.f64 (/.f64 1 (sqrt.f64 (hypot.f64 y.im y.re))) (sqrt.f64 (hypot.f64 y.im y.re))) |
| 1× | rewrite-expression-head |
| 555× | times-frac_binary64 |
| 355× | add-sqr-sqrt_binary64 |
| 277× | *-un-lft-identity_binary64 |
| 270× | sqrt-prod_binary64 |
| 269× | add-cube-cbrt_binary64 |
2 calls:
| 62.0ms | (*.f64 (/.f64 (/.f64 1 (sqrt.f64 (hypot.f64 y.im y.re))) (sqrt.f64 (hypot.f64 y.im y.re))) (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (hypot.f64 y.im y.re))) |
| 8.0ms | (/.f64 (/.f64 1 (sqrt.f64 (hypot.f64 y.im y.re))) (sqrt.f64 (hypot.f64 y.im y.re))) |
| 1× | egg-herbie |
| 422× | associate-/r/_binary64 |
| 270× | distribute-rgt-in_binary64 |
| 255× | distribute-lft-in_binary64 |
| 255× | fma-def_binary64 |
| 250× | associate-*l/_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 292 | 14937 |
| 1 | 788 | 13365 |
| 2 | 2368 | 12215 |
| 3 | 4850 | 12207 |
| 4 | 4992 | 12207 |
| 5 | 4959 | 12207 |
7 alts after pruning (6 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 600 | 1 | 601 |
| Fresh | 1 | 5 | 6 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 602 | 7 | 609 |
| Status | Error | Program |
| 18.7b | (*.f64 (/.f64 (/.f64 (/.f64 1 (sqrt.f64 (hypot.f64 y.im y.re))) (sqrt.f64 (sqrt.f64 (hypot.f64 y.im y.re)))) (sqrt.f64 (sqrt.f64 (hypot.f64 y.im y.re)))) (/.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (hypot.f64 y.im y.re))) | |
| 19.4b | (/.f64 1 (*.f64 (hypot.f64 y.im y.re) (/.f64 (hypot.f64 y.im y.re) (fma.f64 y.im x.im (*.f64 y.re x.re))))) | |
| 43.7b | (/.f64 (neg.f64 (fma.f64 (/.f64 y.im y.re) x.im x.re)) (hypot.f64 y.im y.re)) | |
| ✓ | 18.4b | (/.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)) |
| 19.0b | (/.f64 (/.f64 (/.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (*.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))) (hypot.f64 y.im y.re)) | |
| 30.8b | (fma.f64 (/.f64 y.im y.re) (/.f64 x.im y.re) (/.f64 x.re y.re)) | |
| 34.0b | (fma.f64 (/.f64 y.re y.im) (/.f64 x.re y.im) (/.f64 x.im y.im)) |
Compiled 20609 to 5669 computations (72.5% saved)
Total 10.1b remaining (98.5%)
Threshold costs 0b (0%)
Compiled 22051 to 11973 computations (45.7% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 7 | 5.5013555494050716e+132 | 1.163007707576428e+135 | 1.6628009337917042e+133 |
| 9 | 1.3539858821618174e-112 | 1.1977277435158817e-107 | 2.8636600701744714e-111 |
| 10 | -4.571610901252968e-192 | -1.6060599745547955e-204 | -1.050794049494874e-197 |
| 10 | -2.4619775670305076e+166 | -1.759780515416923e+153 | -2.937760174171857e+153 |
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 | 110 |
| 1 | 49 | 110 |
| 2 | 53 | 110 |
| 3 | 56 | 110 |
| 4 | 57 | 110 |
| 5 | 56 | 110 |
Compiled 80 to 35 computations (56.3% saved)
| 1× | intervals |
| 427.0ms | 8000× | body | 128 | valid |
| 23.0ms | 467× | body | 128 | invalid |
Compiled 247 to 123 computations (50.2% saved)
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