Time bar (total: 6.4s)
| 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)
| 1.7s | 8256× | body | 128 | valid |
| 230.0ms | 1052× | body | 128 | invalid |
Compiled 95 to 62 computations (34.7% saved)
| 1× | egg-herbie |
| 1042× | fma-def_binary64 |
| 693× | fma-neg_binary64 |
| 662× | cube-prod_binary64 |
| 522× | pow-sqr_binary64 |
| 453× | associate-/l*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 20 |
| 1 | 35 | 19 |
| 2 | 57 | 12 |
| 3 | 80 | 9 |
| 4 | 89 | 9 |
| 5 | 216 | 9 |
| 6 | 486 | 9 |
| 7 | 978 | 9 |
| 8 | 1296 | 9 |
| 9 | 1996 | 9 |
| 10 | 2287 | 9 |
| 11 | 3311 | 9 |
| 12 | 4367 | 9 |
| 13 | 4644 | 9 |
| 14 | 4721 | 9 |
| 15 | 4986 | 9 |
| 16 | 4826 | 9 |
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 |
| ▶ | 0.3b | (/.f64 (atan2.f64 im re) (log.f64 base)) |
| 30.7b | (/.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 117 to 73 computations (37.6% saved)
Found 1 expressions with local error:
| New | Error | Program |
| ✓ | 0.3b | (/.f64 (atan2.f64 im re) (log.f64 base)) |
1 calls:
| 355.0ms | (/.f64 (atan2.f64 im re) (log.f64 base)) |
| 1× | batch-egg-rewrite |
| 643× | log1p-expm1-u_binary64 |
| 643× | expm1-log1p-u_binary64 |
| 351× | log-prod_binary64 |
| 131× | expm1-udef_binary64 |
| 131× | log1p-udef_binary64 |
1 calls:
| 41.0ms | (/.f64 (atan2.f64 im re) (log.f64 base)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 9 |
| 1 | 138 | 9 |
| 2 | 1687 | 9 |
| 3 | 5224 | 9 |
| 1× | egg-herbie |
| 1250× | distribute-rgt-in_binary64 |
| 882× | div-sub_binary64 |
| 628× | fma-neg_binary64 |
| 606× | associate--r-_binary64 |
| 502× | fma-def_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 104 |
| 1 | 29 | 104 |
| 2 | 42 | 96 |
| 3 | 90 | 72 |
| 4 | 154 | 72 |
| 5 | 462 | 72 |
| 6 | 987 | 72 |
| 7 | 1899 | 72 |
| 8 | 2363 | 72 |
| 9 | 2430 | 72 |
| 10 | 2491 | 72 |
| 11 | 2599 | 72 |
| 12 | 4628 | 72 |
| 13 | 3636 | 72 |
| 14 | 4106 | 72 |
| 15 | 4340 | 72 |
| 16 | 4364 | 72 |
| 17 | 4364 | 72 |
| 18 | 4313 | 72 |
| 19 | 4363 | 72 |
| 20 | 4469 | 72 |
| 21 | 4475 | 72 |
| 22 | 5538 | 72 |
13 alts after pruning (12 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 28 | 11 | 39 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 28 | 13 | 41 |
| Status | Error | Program |
| 12.9b | (log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) | |
| ✓ | 0.3b | (/.f64 (atan2.f64 im re) (log.f64 base)) |
| 28.9b | (*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 base)))) | |
| 30.7b | (/.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))) | |
| 1.4b | (*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)) | |
| ▶ | 0.4b | (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base))) |
| 27.5b | (exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) | |
| 4.6b | (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)) | |
| 0.5b | (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1) | |
| 27.1b | (pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2) | |
| 28.5b | (pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3) | |
| 34.2b | (*.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base)))) | |
| 1.2b | (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base)))) |
Compiled 850 to 401 computations (52.8% saved)
Found 2 expressions with local error:
| New | Error | Program |
| ✓ | 0.3b | (/.f64 1 (log.f64 base)) |
| ✓ | 0.3b | (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base))) |
2 calls:
| 346.0ms | (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base))) |
| 32.0ms | (/.f64 1 (log.f64 base)) |
| 1× | batch-egg-rewrite |
| 712× | log1p-expm1-u_binary64 |
| 712× | expm1-log1p-u_binary64 |
| 149× | expm1-udef_binary64 |
| 149× | log1p-udef_binary64 |
| 92× | fma-neg_binary64 |
2 calls:
| 101.0ms | (/.f64 1 (log.f64 base)) |
| 100.0ms | (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 15 |
| 1 | 174 | 15 |
| 2 | 1909 | 15 |
| 3 | 4988 | 15 |
| 4 | 5000 | 15 |
| 5 | 5007 | 15 |
| 1× | egg-herbie |
| 1250× | distribute-rgt-in_binary64 |
| 882× | div-sub_binary64 |
| 628× | fma-neg_binary64 |
| 606× | associate--r-_binary64 |
| 502× | fma-def_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 388 |
| 1 | 32 | 388 |
| 2 | 45 | 372 |
| 3 | 92 | 372 |
| 4 | 154 | 372 |
| 5 | 462 | 372 |
| 6 | 987 | 372 |
| 7 | 1899 | 372 |
| 8 | 2365 | 372 |
| 9 | 2430 | 372 |
| 10 | 2491 | 372 |
| 11 | 2599 | 372 |
| 12 | 4628 | 372 |
| 13 | 3636 | 372 |
| 14 | 4106 | 372 |
| 15 | 4340 | 372 |
| 16 | 4364 | 372 |
| 17 | 4364 | 372 |
| 18 | 4313 | 372 |
| 19 | 4363 | 372 |
| 20 | 4469 | 372 |
| 21 | 4475 | 372 |
| 22 | 5538 | 372 |
14 alts after pruning (13 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 48 | 6 | 54 |
| Fresh | 4 | 7 | 11 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 0 | 1 |
| Total | 53 | 14 | 67 |
| Status | Error | Program |
| 1.4b | (*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)) | |
| 34.5b | (*.f64 (atan2.f64 im re) (exp.f64 (neg.f64 (log.f64 (log.f64 base))))) | |
| ✓ | 0.4b | (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base))) |
| 0.7b | (*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3))) | |
| 27.5b | (exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) | |
| 30.4b | (*.f64 (atan2.f64 im re) (sqrt.f64 (pow.f64 (log.f64 base) -2))) | |
| 27.1b | (pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2) | |
| 0.8b | (*.f64 (atan2.f64 im re) (*.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) (cbrt.f64 (pow.f64 (log.f64 base) -2)))) | |
| 4.6b | (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)) | |
| ▶ | 0.5b | (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1) |
| 1.1b | (/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base))) | |
| 34.2b | (/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base))) | |
| 30.7b | (/.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))) | |
| 34.2b | (*.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base)))) |
Compiled 976 to 526 computations (46.1% saved)
Found 2 expressions with local error:
| New | Error | Program |
| ✓ | 0.3b | (/.f64 (log.f64 base) (atan2.f64 im re)) |
| ✓ | 0.4b | (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1) |
2 calls:
| 416.0ms | (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1) |
| 340.0ms | (/.f64 (log.f64 base) (atan2.f64 im re)) |
| 1× | batch-egg-rewrite |
| 791× | log1p-expm1-u_binary64 |
| 791× | expm1-log1p-u_binary64 |
| 158× | log1p-udef_binary64 |
| 91× | add-sqr-sqrt_binary64 |
| 84× | add-log-exp_binary64 |
2 calls:
| 48.0ms | (/.f64 (log.f64 base) (atan2.f64 im re)) |
| 48.0ms | (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 21 |
| 1 | 180 | 18 |
| 2 | 2075 | 18 |
| 3 | 5147 | 18 |
| 1× | egg-herbie |
| 1461× | associate-+l+_binary64 |
| 799× | distribute-rgt-in_binary64 |
| 752× | unsub-neg_binary64 |
| 736× | sub-neg_binary64 |
| 662× | div-sub_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 428 |
| 1 | 40 | 428 |
| 2 | 63 | 396 |
| 3 | 122 | 396 |
| 4 | 307 | 396 |
| 5 | 758 | 396 |
| 6 | 1494 | 396 |
| 7 | 1867 | 396 |
| 8 | 2145 | 396 |
| 9 | 2393 | 396 |
| 10 | 2795 | 396 |
| 11 | 2863 | 396 |
| 12 | 2728 | 396 |
| 13 | 3858 | 396 |
| 14 | 3444 | 396 |
| 15 | 3670 | 396 |
| 16 | 3982 | 396 |
| 17 | 3982 | 396 |
| 18 | 4094 | 396 |
| 19 | 5463 | 396 |
15 alts after pruning (13 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 79 | 2 | 81 |
| Fresh | 1 | 11 | 12 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 80 | 15 | 95 |
| Status | Error | Program |
| 1.4b | (*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)) | |
| 34.5b | (*.f64 (atan2.f64 im re) (exp.f64 (neg.f64 (log.f64 (log.f64 base))))) | |
| ✓ | 0.4b | (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base))) |
| ▶ | 0.7b | (*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3))) |
| 4.5b | (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 3)) -1) | |
| ✓ | 0.5b | (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1) |
| 10.2b | (pow.f64 (log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))) -1) | |
| 27.1b | (pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2) | |
| 0.8b | (*.f64 (atan2.f64 im re) (*.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) (cbrt.f64 (pow.f64 (log.f64 base) -2)))) | |
| 27.5b | (exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) | |
| 4.6b | (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)) | |
| 1.1b | (/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base))) | |
| 34.2b | (/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base))) | |
| 30.7b | (/.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))) | |
| 34.2b | (*.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base)))) |
Compiled 1449 to 662 computations (54.3% saved)
Found 4 expressions with local error:
| New | Error | Program |
| 0.3b | (/.f64 1 (log.f64 base)) | |
| ✓ | 0.3b | (*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3))) |
| ✓ | 0.6b | (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3)) |
| ✓ | 0.7b | (pow.f64 (/.f64 1 (log.f64 base)) 3) |
3 calls:
| 340.0ms | (*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3))) |
| 38.0ms | (pow.f64 (/.f64 1 (log.f64 base)) 3) |
| 34.0ms | (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3)) |
| 1× | batch-egg-rewrite |
| 868× | log1p-expm1-u_binary64 |
| 868× | expm1-log1p-u_binary64 |
| 104× | add-sqr-sqrt_binary64 |
| 97× | add-log-exp_binary64 |
| 96× | add-cbrt-cube_binary64 |
3 calls:
| 49.0ms | (*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3))) |
| 49.0ms | (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3)) |
| 49.0ms | (pow.f64 (/.f64 1 (log.f64 base)) 3) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 27 |
| 1 | 221 | 21 |
| 2 | 2337 | 21 |
| 3 | 5244 | 21 |
| 1× | egg-herbie |
| 681× | fma-neg_binary64 |
| 634× | unsub-neg_binary64 |
| 624× | div-sub_binary64 |
| 491× | fma-def_binary64 |
| 456× | distribute-rgt-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 504 |
| 1 | 58 | 504 |
| 2 | 112 | 504 |
| 3 | 301 | 504 |
| 4 | 691 | 504 |
| 5 | 2735 | 504 |
| 6 | 4412 | 504 |
| 7 | 4991 | 504 |
| 8 | 4995 | 504 |
| 9 | 4876 | 504 |
14 alts after pruning (11 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 109 | 2 | 111 |
| Fresh | 3 | 9 | 12 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 112 | 14 | 126 |
| Status | Error | Program |
| ✓ | 0.4b | (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base))) |
| ✓ | 0.7b | (*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3))) |
| 4.5b | (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 3)) -1) | |
| ✓ | 0.5b | (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1) |
| 10.2b | (pow.f64 (log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))) -1) | |
| 27.1b | (pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2) | |
| 0.8b | (*.f64 (atan2.f64 im re) (*.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) (cbrt.f64 (pow.f64 (log.f64 base) -2)))) | |
| 34.5b | (*.f64 (atan2.f64 im re) (exp.f64 (neg.f64 (log.f64 (log.f64 base))))) | |
| 27.5b | (exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) | |
| 4.6b | (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)) | |
| 0.3b | (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1) | |
| 1.1b | (/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base))) | |
| 30.7b | (/.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))) | |
| 0.9b | (*.f64 (atan2.f64 im re) (*.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) (pow.f64 (pow.f64 (log.f64 base) -2) 1/3))) |
Compiled 1594 to 874 computations (45.2% saved)
Total 0.3b remaining (89.8%)
Threshold costs 0.3b (89.8%)
Compiled 4936 to 3491 computations (29.3% saved)
| 1× | egg-herbie |
| 1× | 1-exp_binary64 |
| 1× | unpow1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 9 |
| 1 | 11 | 9 |
| 2 | 10 | 9 |
Compiled 223 to 160 computations (28.3% saved)
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