Time bar (total: 4.9s)
| 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)
| 1× | intervals |
| 31.0ms | 256× | body | 128 | valid |
| 10.0ms | 42× | body | 128 | nan |
Compiled 66 to 44 computations (33.3% saved)
| 1× | egg-herbie |
| 662× | cube-prod_binary64 |
| 603× | distribute-rgt-in_binary64 |
| 522× | pow-sqr_binary64 |
| 453× | associate-/l*_binary64 |
| 447× | sqr-pow_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 22 |
| 1 | 31 | 19 |
| 2 | 49 | 12 |
| 3 | 70 | 9 |
| 4 | 78 | 9 |
| 5 | 197 | 9 |
| 6 | 452 | 9 |
| 7 | 867 | 9 |
| 8 | 1025 | 9 |
| 9 | 1607 | 9 |
| 10 | 1898 | 9 |
| 11 | 2922 | 9 |
| 12 | 3978 | 9 |
| 13 | 4255 | 9 |
| 14 | 4332 | 9 |
| 15 | 4901 | 9 |
| 16 | 4825 | 9 |
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 1 | 1 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 2 | 2 |
| Status | Error | Program |
| ▶ | 0.3b | (/.f64 (atan2.f64 im re) (log.f64 base)) |
| 34.1b | (/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0))) |
Compiled 89 to 58 computations (34.8% saved)
Found 1 expressions with local error:
| 0.3b | (/.f64 (atan2.f64 im re) (log.f64 base)) |
| 1× | rewrite-expression-head |
| 12× | times-frac_binary64 |
| 10× | *-un-lft-identity_binary64 |
| 10× | add-sqr-sqrt_binary64 |
| 10× | add-cube-cbrt_binary64 |
| 5× | pow1_binary64 |
1 calls:
| 2.0ms | (/.f64 (atan2.f64 im re) (log.f64 base)) |
Compiled 370 to 88 computations (76.2% saved)
1 calls:
| 29.0ms | (/.f64 (atan2.f64 im re) (log.f64 base)) |
Compiled 210 to 145 computations (31% saved)
| 1× | egg-herbie |
| 649× | neg-mul-1_binary64 |
| 637× | sub-neg_binary64 |
| 613× | neg-sub0_binary64 |
| 350× | distribute-neg-in_binary64 |
| 336× | div-sub_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 610 |
| 1 | 106 | 572 |
| 2 | 211 | 572 |
| 3 | 380 | 572 |
| 4 | 1292 | 572 |
| 5 | 2872 | 572 |
| 6 | 3635 | 572 |
| 7 | 4521 | 572 |
| 8 | 4919 | 572 |
4 alts after pruning (3 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 11 | 2 | 13 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 11 | 4 | 15 |
| Status | Error | Program |
| ✓ | 0.3b | (/.f64 (atan2.f64 im re) (log.f64 base)) |
| 34.1b | (/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0))) | |
| 32.3b | (*.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base))) | |
| ▶ | 6.5b | (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)) |
Compiled 188 to 100 computations (46.8% saved)
Found 3 expressions with local error:
| 0.3b | (/.f64 (atan2.f64 im re) (log.f64 base)) |
| 0.5b | (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) |
| 6.5b | (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)) |
| 1× | rewrite-expression-head |
| 60× | times-frac_binary64 |
| 46× | *-un-lft-identity_binary64 |
| 46× | add-sqr-sqrt_binary64 |
| 46× | add-cube-cbrt_binary64 |
| 38× | cbrt-prod_binary64 |
3 calls:
| 4.0ms | (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)) |
| 4.0ms | (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) |
| 2.0ms | (/.f64 (atan2.f64 im re) (log.f64 base)) |
Compiled 1554 to 557 computations (64.2% saved)
3 calls:
| 48.0ms | (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) |
| 33.0ms | (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)) |
| 32.0ms | (/.f64 (atan2.f64 im re) (log.f64 base)) |
Compiled 792 to 592 computations (25.3% saved)
| 1× | egg-herbie |
| 691× | associate-/l*_binary64 |
| 620× | log-div_binary64 |
| 473× | associate-/r*_binary64 |
| 326× | unswap-sqr_binary64 |
| 278× | associate-/l/_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 145 | 2838 |
| 1 | 329 | 2589 |
| 2 | 1074 | 2543 |
| 3 | 4398 | 2543 |
| 4 | 5301 | 2543 |
9 alts after pruning (7 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 107 | 5 | 112 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 107 | 9 | 116 |
| Status | Error | Program |
| 5.1b | (*.f64 (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) | |
| ✓ | 0.3b | (/.f64 (atan2.f64 im re) (log.f64 base)) |
| 6.6b | (cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (+.f64 0 (log.f64 base)) 3))) | |
| 34.1b | (/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0))) | |
| 31.9b | (cbrt.f64 (exp.f64 (*.f64 3 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))) | |
| 6.5b | (cbrt.f64 (*.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2) (/.f64 (atan2.f64 im re) (log.f64 base)))) | |
| ▶ | 0.9b | (*.f64 (cbrt.f64 (/.f64 1 (*.f64 (log.f64 base) (log.f64 base)))) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))) |
| 32.3b | (*.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base))) | |
| ✓ | 6.5b | (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)) |
Compiled 856 to 385 computations (55% saved)
Found 4 expressions with local error:
| 0.4b | (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))) |
| 0.5b | (*.f64 (log.f64 base) (log.f64 base)) |
| 0.5b | (cbrt.f64 (log.f64 base)) |
| 0.6b | (cbrt.f64 (/.f64 1 (*.f64 (log.f64 base) (log.f64 base)))) |
| 1× | rewrite-expression-head |
| 31× | *-un-lft-identity_binary64 |
| 31× | add-sqr-sqrt_binary64 |
| 29× | add-cube-cbrt_binary64 |
| 27× | cbrt-prod_binary64 |
| 24× | times-frac_binary64 |
4 calls:
| 6.0ms | (cbrt.f64 (/.f64 1 (*.f64 (log.f64 base) (log.f64 base)))) |
| 4.0ms | (*.f64 (log.f64 base) (log.f64 base)) |
| 3.0ms | (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))) |
| 1.0ms | (cbrt.f64 (log.f64 base)) |
Compiled 2151 to 669 computations (68.9% saved)
4 calls:
| 114.0ms | (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))) |
| 23.0ms | (cbrt.f64 (/.f64 1 (*.f64 (log.f64 base) (log.f64 base)))) |
| 16.0ms | (cbrt.f64 (log.f64 base)) |
| 11.0ms | (*.f64 (log.f64 base) (log.f64 base)) |
Compiled 1032 to 719 computations (30.3% saved)
| 1× | egg-herbie |
| 697× | times-frac_binary64 |
| 436× | log-prod_binary64 |
| 363× | exp-prod_binary64 |
| 238× | distribute-rgt-in_binary64 |
| 227× | log-pow_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 151 | 1806 |
| 1 | 250 | 1678 |
| 2 | 692 | 1663 |
| 3 | 1730 | 1614 |
| 4 | 3652 | 1592 |
| 5 | 4649 | 1592 |
| 6 | 4966 | 1592 |
| 7 | 4864 | 1592 |
14 alts after pruning (12 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 85 | 8 | 93 |
| Fresh | 2 | 4 | 6 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 2 | 2 |
| Total | 88 | 14 | 102 |
| Status | Error | Program |
| 33.7b | (*.f64 (cbrt.f64 (/.f64 1 (*.f64 (log.f64 base) (log.f64 base)))) (/.f64 (atan2.f64 im re) (*.f64 (pow.f64 (log.f64 base) 1/6) (pow.f64 (log.f64 base) 1/6)))) | |
| 1.0b | (*.f64 (cbrt.f64 (/.f64 1 (*.f64 (log.f64 base) (log.f64 base)))) (*.f64 (atan2.f64 im re) (cbrt.f64 (/.f64 1 (log.f64 base))))) | |
| 5.1b | (*.f64 (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) | |
| ✓ | 0.3b | (/.f64 (atan2.f64 im re) (log.f64 base)) |
| 6.6b | (cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (+.f64 0 (log.f64 base)) 3))) | |
| 34.1b | (/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0))) | |
| 1.0b | (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 base) 2)) 1/6) (pow.f64 (/.f64 1 (pow.f64 (log.f64 base) 2)) 1/6)) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))) | |
| ✓ | 6.5b | (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)) |
| ▶ | 0.9b | (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (pow.f64 (log.f64 base) 6)))) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))) |
| 1.0b | (*.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 base) 2)) 2/3)) (cbrt.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 base) 2))))) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))) | |
| 33.8b | (*.f64 (/.f64 1 (pow.f64 (log.f64 base) 2/3)) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))) | |
| 33.9b | (*.f64 (exp.f64 (neg.f64 (*.f64 (log.f64 (log.f64 base)) 2/3))) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))) | |
| 33.8b | (*.f64 (cbrt.f64 (/.f64 1 (exp.f64 (*.f64 2 (log.f64 (log.f64 base)))))) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))) | |
| 32.3b | (*.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base))) |
Compiled 1414 to 740 computations (47.7% saved)
Found 4 expressions with local error:
| 0.5b | (cbrt.f64 (log.f64 base)) |
| 0.5b | (cbrt.f64 (pow.f64 (log.f64 base) 6)) |
| 0.6b | (cbrt.f64 (/.f64 1 (cbrt.f64 (pow.f64 (log.f64 base) 6)))) |
| 1.2b | (pow.f64 (log.f64 base) 6) |
| 1× | rewrite-expression-head |
| 73× | cbrt-prod_binary64 |
| 33× | times-frac_binary64 |
| 30× | *-un-lft-identity_binary64 |
| 30× | add-sqr-sqrt_binary64 |
| 30× | add-cube-cbrt_binary64 |
4 calls:
| 4.0ms | (cbrt.f64 (/.f64 1 (cbrt.f64 (pow.f64 (log.f64 base) 6)))) |
| 2.0ms | (pow.f64 (log.f64 base) 6) |
| 2.0ms | (cbrt.f64 (pow.f64 (log.f64 base) 6)) |
| 1.0ms | (cbrt.f64 (log.f64 base)) |
Compiled 2074 to 1170 computations (43.6% saved)
4 calls:
| 23.0ms | (cbrt.f64 (/.f64 1 (cbrt.f64 (pow.f64 (log.f64 base) 6)))) |
| 17.0ms | (cbrt.f64 (log.f64 base)) |
| 13.0ms | (pow.f64 (log.f64 base) 6) |
| 9.0ms | (cbrt.f64 (pow.f64 (log.f64 base) 6)) |
Compiled 741 to 547 computations (26.2% saved)
| 1× | egg-herbie |
| 1077× | fabs-mul_binary64 |
| 653× | sqr-pow_binary64 |
| 505× | log-prod_binary64 |
| 442× | exp-prod_binary64 |
| 408× | cube-prod_binary64 |
Useful iterations: 6 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 110 | 1637 |
| 1 | 183 | 1434 |
| 2 | 378 | 1428 |
| 3 | 2013 | 1152 |
| 4 | 4223 | 1148 |
| 5 | 4295 | 1133 |
| 6 | 3815 | 1131 |
| 7 | 5227 | 1131 |
14 alts after pruning (11 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 85 | 0 | 85 |
| Fresh | 0 | 11 | 11 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 85 | 14 | 99 |
| Status | Error | Program |
| 33.7b | (*.f64 (cbrt.f64 (/.f64 1 (*.f64 (log.f64 base) (log.f64 base)))) (/.f64 (atan2.f64 im re) (*.f64 (pow.f64 (log.f64 base) 1/6) (pow.f64 (log.f64 base) 1/6)))) | |
| 1.0b | (*.f64 (cbrt.f64 (/.f64 1 (*.f64 (log.f64 base) (log.f64 base)))) (*.f64 (atan2.f64 im re) (cbrt.f64 (/.f64 1 (log.f64 base))))) | |
| 5.1b | (*.f64 (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) | |
| 0.3b | (/.f64 (atan2.f64 im re) (log.f64 base)) | |
| 6.6b | (cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (+.f64 0 (log.f64 base)) 3))) | |
| 34.1b | (/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0))) | |
| 1.0b | (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 base) 2)) 1/6) (pow.f64 (/.f64 1 (pow.f64 (log.f64 base) 2)) 1/6)) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))) | |
| 6.5b | (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)) | |
| 0.9b | (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (pow.f64 (log.f64 base) 6)))) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))) | |
| 1.0b | (*.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 base) 2)) 2/3)) (cbrt.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 base) 2))))) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))) | |
| 33.8b | (*.f64 (/.f64 1 (pow.f64 (log.f64 base) 2/3)) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))) | |
| 33.9b | (*.f64 (exp.f64 (neg.f64 (*.f64 (log.f64 (log.f64 base)) 2/3))) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))) | |
| 33.8b | (*.f64 (cbrt.f64 (/.f64 1 (exp.f64 (*.f64 2 (log.f64 (log.f64 base)))))) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))) | |
| 32.3b | (*.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base))) |
Compiled 775 to 444 computations (42.7% saved)
Total 0.3b remaining (83.2%)
Threshold costs 0.3b (83.2%)
Compiled 15216 to 9746 computations (35.9% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 9 |
| 1 | 7 | 9 |
Compiled 9 to 6 computations (33.3% saved)
| 1× | intervals |
| 1.1s | 8000× | body | 128 | valid |
| 121.0ms | 983× | body | 128 | nan |
Compiled 324 to 224 computations (30.9% saved)
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