Time bar (total: 8.5s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.9% | 0.1% | 0 |
| 0% | 99.9% | 0.1% | 1 |
| 0% | 99.9% | 0.1% | 2 |
| 0% | 99.9% | 0.1% | 3 |
| 0% | 99.9% | 0.1% | 4 |
| 0% | 99.9% | 0.1% | 5 |
| 0% | 99.9% | 0.1% | 6 |
| 23.4% | 51.5% | 25.1% | 7 |
| 24.2% | 50.7% | 25.1% | 8 |
| 24.6% | 50.3% | 25.1% | 9 |
| 36.9% | 25.5% | 37.6% | 10 |
| 37.2% | 25.3% | 37.6% | 11 |
| 37.3% | 25.1% | 37.6% | 12 |
| 43.5% | 12.7% | 43.8% | 13 |
| 43.6% | 12.6% | 43.8% | 14 |
Compiled 32 to 21 computations (34.4% saved)
(sort re im)
| 1.9s | 8256× | body | 128 | valid |
| 356.0ms | 1044× | body | 128 | invalid |
Compiled 95 to 62 computations (34.7% saved)
| 1× | egg-herbie |
| 666× | fma-def_binary64 |
| 620× | associate-/l/_binary64 |
| 557× | cube-prod_binary64 |
| 533× | sqr-pow_binary64 |
| 502× | pow-sqr_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 22 |
| 1 | 28 | 21 |
| 2 | 34 | 21 |
| 3 | 45 | 14 |
| 4 | 62 | 11 |
| 5 | 65 | 11 |
| 6 | 176 | 11 |
| 7 | 479 | 11 |
| 8 | 769 | 11 |
| 9 | 839 | 11 |
| 10 | 1233 | 11 |
| 11 | 1523 | 11 |
| 12 | 2341 | 11 |
| 13 | 3455 | 11 |
| 14 | 4399 | 11 |
| 15 | 4874 | 11 |
| 16 | 4872 | 11 |
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 2 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 3 | 3 |
| Status | Error | Program |
| 31.3b | (/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0))) | |
| ▶ | 0.3b | (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
Compiled 120 to 77 computations (35.8% saved)
Found 2 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (hypot.f64 re im) |
| ✓ | 0.3b | (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
2 calls:
| 614.0ms | (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
| 12.0ms | (hypot.f64 re im) |
| 1× | rewrite-expression-head |
| 16× | times-frac_binary64 |
| 12× | *-un-lft-identity_binary64 |
| 12× | add-sqr-sqrt_binary64 |
| 12× | add-cube-cbrt_binary64 |
| 12× | pow1_binary64 |
2 calls:
| 3.0ms | (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
| 0.0ms | (hypot.f64 re im) |
| 1× | egg-herbie |
| 787× | times-frac_binary64 |
| 599× | fma-neg_binary64 |
| 441× | associate-/r*_binary64 |
| 410× | associate-/l*_binary64 |
| 341× | fma-def_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 194 | 2481 |
| 1 | 484 | 2312 |
| 2 | 1291 | 2236 |
| 3 | 4583 | 2236 |
| 4 | 4984 | 2236 |
10 alts after pruning (10 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 133 | 9 | 142 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 134 | 10 | 144 |
| Status | Error | Program |
| 1.2b | (*.f64 (/.f64 1 (*.f64 (cbrt.f64 (log.f64 base)) (cbrt.f64 (log.f64 base)))) (/.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (log.f64 base)))) | |
| 1.6b | (log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) | |
| 14.7b | (*.f64 (sqrt.f64 (log.f64 (hypot.f64 im re))) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 im re))) (log.f64 base))) | |
| 1.3b | (*.f64 (*.f64 (cbrt.f64 (log.f64 (hypot.f64 im re))) (cbrt.f64 (log.f64 (hypot.f64 im re)))) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 im re))) (log.f64 base))) | |
| 32.8b | (/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base))) | |
| 14.7b | (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 (log.f64 base) (sqrt.f64 (log.f64 (hypot.f64 re im))))) | |
| 31.3b | (/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0))) | |
| ▶ | 0.4b | (*.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 base))) |
| 0.4b | (/.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) | |
| 0.6b | (cbrt.f64 (/.f64 (*.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 (hypot.f64 re im))) (log.f64 (hypot.f64 re im))) (*.f64 (*.f64 (log.f64 base) (log.f64 base)) (log.f64 base)))) |
Compiled 2998 to 1397 computations (53.4% saved)
Found 3 expressions with local error:
| New | Error | Program |
| 0.0b | (hypot.f64 re im) | |
| ✓ | 0.3b | (/.f64 1 (log.f64 base)) |
| ✓ | 0.3b | (*.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 base))) |
2 calls:
| 559.0ms | (*.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 base))) |
| 34.0ms | (/.f64 1 (log.f64 base)) |
| 1× | rewrite-expression-head |
| 27× | add-sqr-sqrt_binary64 |
| 26× | times-frac_binary64 |
| 21× | *-un-lft-identity_binary64 |
| 20× | add-cube-cbrt_binary64 |
| 16× | associate-*r*_binary64 |
2 calls:
| 9.0ms | (*.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 base))) |
| 2.0ms | (/.f64 1 (log.f64 base)) |
| 1× | egg-herbie |
| 453× | div-sub_binary64 |
| 341× | times-frac_binary64 |
| 295× | associate-/l*_binary64 |
| 248× | fma-def_binary64 |
| 229× | sub-neg_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 160 | 2246 |
| 1 | 382 | 1983 |
| 2 | 984 | 1943 |
| 3 | 3458 | 1943 |
| 4 | 4757 | 1943 |
| 5 | 5751 | 1943 |
10 alts after pruning (10 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 184 | 5 | 189 |
| Fresh | 4 | 5 | 9 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 189 | 10 | 199 |
| Status | Error | Program |
| 1.2b | (*.f64 (*.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (cbrt.f64 (log.f64 (hypot.f64 re im)))) (*.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 base)))) | |
| 14.7b | (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 (log.f64 base) (sqrt.f64 (log.f64 (hypot.f64 re im))))) | |
| 0.7b | (log.f64 (pow.f64 (hypot.f64 im re) (/.f64 1 (log.f64 base)))) | |
| 0.7b | (*.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3))) | |
| 5.4b | (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 (exp.f64 (/.f64 1 (log.f64 base))))) | |
| 32.8b | (/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base))) | |
| ▶ | 0.4b | (*.f64 (log.f64 (hypot.f64 im re)) (/.f64 1 (log.f64 base))) |
| 1.2b | (*.f64 (/.f64 1 (*.f64 (cbrt.f64 (log.f64 base)) (cbrt.f64 (log.f64 base)))) (/.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (log.f64 base)))) | |
| 0.4b | (/.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) | |
| 0.6b | (cbrt.f64 (/.f64 (*.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 (hypot.f64 re im))) (log.f64 (hypot.f64 re im))) (*.f64 (*.f64 (log.f64 base) (log.f64 base)) (log.f64 base)))) |
Compiled 3788 to 1937 computations (48.9% saved)
Found 3 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (hypot.f64 im re) |
| 0.3b | (/.f64 1 (log.f64 base)) | |
| ✓ | 0.3b | (*.f64 (log.f64 (hypot.f64 im re)) (/.f64 1 (log.f64 base))) |
2 calls:
| 559.0ms | (*.f64 (log.f64 (hypot.f64 im re)) (/.f64 1 (log.f64 base))) |
| 9.0ms | (hypot.f64 im re) |
| 1× | rewrite-expression-head |
| 18× | add-sqr-sqrt_binary64 |
| 16× | associate-*r*_binary64 |
| 14× | times-frac_binary64 |
| 12× | *-un-lft-identity_binary64 |
| 11× | add-cube-cbrt_binary64 |
2 calls:
| 6.0ms | (*.f64 (log.f64 (hypot.f64 im re)) (/.f64 1 (log.f64 base))) |
| 0.0ms | (hypot.f64 im re) |
| 1× | egg-herbie |
| 784× | times-frac_binary64 |
| 599× | fma-neg_binary64 |
| 425× | associate-/r*_binary64 |
| 424× | associate-/l*_binary64 |
| 344× | fma-def_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 199 | 2403 |
| 1 | 513 | 2191 |
| 2 | 1385 | 2110 |
| 3 | 4698 | 2110 |
| 4 | 5099 | 2110 |
10 alts after pruning (9 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 189 | 1 | 190 |
| Fresh | 1 | 8 | 9 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 190 | 10 | 200 |
| Status | Error | Program |
| 1.2b | (*.f64 (*.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (cbrt.f64 (log.f64 (hypot.f64 re im)))) (*.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 base)))) | |
| 14.7b | (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 (log.f64 base) (sqrt.f64 (log.f64 (hypot.f64 re im))))) | |
| 15.9b | (expm1.f64 (log1p.f64 (*.f64 (log.f64 (hypot.f64 im re)) (/.f64 1 (log.f64 base))))) | |
| 0.6b | (cbrt.f64 (/.f64 (*.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 (hypot.f64 re im))) (log.f64 (hypot.f64 re im))) (*.f64 (*.f64 (log.f64 base) (log.f64 base)) (log.f64 base)))) | |
| 0.7b | (log.f64 (pow.f64 (hypot.f64 im re) (/.f64 1 (log.f64 base)))) | |
| 0.7b | (*.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3))) | |
| 5.4b | (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 (exp.f64 (/.f64 1 (log.f64 base))))) | |
| ✓ | 0.4b | (*.f64 (log.f64 (hypot.f64 im re)) (/.f64 1 (log.f64 base))) |
| 1.2b | (*.f64 (/.f64 1 (*.f64 (cbrt.f64 (log.f64 base)) (cbrt.f64 (log.f64 base)))) (/.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (log.f64 base)))) | |
| ▶ | 0.4b | (/.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) |
Compiled 3782 to 1936 computations (48.8% saved)
Found 3 expressions with local error:
| New | Error | Program |
| 0.0b | (hypot.f64 re im) | |
| ✓ | 0.3b | (/.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) |
| ✓ | 0.4b | (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) |
2 calls:
| 599.0ms | (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) |
| 535.0ms | (/.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) |
| 1× | rewrite-expression-head |
| 140× | times-frac_binary64 |
| 69× | *-un-lft-identity_binary64 |
| 69× | add-sqr-sqrt_binary64 |
| 69× | add-cube-cbrt_binary64 |
| 45× | pow1_binary64 |
2 calls:
| 5.0ms | (/.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) |
| 3.0ms | (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) |
| 1× | egg-herbie |
| 432× | fma-neg_binary64 |
| 429× | times-frac_binary64 |
| 347× | associate-/r*_binary64 |
| 294× | associate-/l*_binary64 |
| 190× | fma-def_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 394 | 6731 |
| 1 | 1231 | 5978 |
| 2 | 4749 | 5978 |
| 3 | 5095 | 5978 |
9 alts after pruning (8 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 285 | 3 | 288 |
| Fresh | 3 | 5 | 8 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 289 | 9 | 298 |
| Status | Error | Program |
| 0.7b | (*.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3))) | |
| 0.7b | (/.f64 1 (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 3))) | |
| 1.2b | (*.f64 (*.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (cbrt.f64 (log.f64 (hypot.f64 re im)))) (*.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 base)))) | |
| 14.7b | (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 (log.f64 base) (sqrt.f64 (log.f64 (hypot.f64 re im))))) | |
| 0.6b | (cbrt.f64 (/.f64 (*.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 (hypot.f64 re im))) (log.f64 (hypot.f64 re im))) (*.f64 (*.f64 (log.f64 base) (log.f64 base)) (log.f64 base)))) | |
| 0.4b | (*.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (/.f64 1 (log.f64 (hypot.f64 re im))))) | |
| 0.7b | (log.f64 (pow.f64 (hypot.f64 im re) (/.f64 1 (log.f64 base)))) | |
| 18.6b | (/.f64 1 (expm1.f64 (log1p.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))) | |
| ✓ | 0.4b | (*.f64 (log.f64 (hypot.f64 im re)) (/.f64 1 (log.f64 base))) |
Compiled 7656 to 3797 computations (50.4% saved)
Total 0.3b remaining (85.9%)
Threshold costs 0.3b (85.9%)
Compiled 19006 to 13061 computations (31.3% saved)
| 1× | egg-herbie |
| 1× | *-commutative_binary64 |
| 1× | *-rgt-identity_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 11 |
| 1 | 13 | 11 |
| 2 | 12 | 11 |
(sort re im)
Compiled 193 to 127 computations (34.2% saved)
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