Time bar (total: 11.3s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.6% | 0.4% | 0 |
| 0% | 99.6% | 0.4% | 1 |
| 0% | 99.6% | 0.4% | 2 |
| 0% | 99.6% | 0.4% | 3 |
| 0% | 99.6% | 0.4% | 4 |
| 0% | 99.6% | 0.4% | 5 |
| 0% | 99.6% | 0.4% | 6 |
| 0% | 99.6% | 0.4% | 7 |
| 0% | 74.7% | 25.3% | 8 |
| 0% | 74.7% | 25.3% | 9 |
| 0% | 65.4% | 34.6% | 10 |
| 0% | 51.4% | 48.6% | 11 |
| 0% | 51.4% | 48.6% | 12 |
| 0% | 51.4% | 48.6% | 13 |
| 0% | 51.4% | 48.6% | 14 |
Compiled 30 to 21 computations (30% saved)
| 2.2s | 11186× | body | 128 | invalid |
| 1.7s | 8252× | body | 128 | valid |
| 1.0ms | 2× | body | 512 | valid |
| 1.0ms | 1× | body | 1024 | valid |
| 0.0ms | 1× | body | 256 | valid |
Compiled 60 to 42 computations (30% saved)
| 2× | egg-herbie |
| 3552× | associate-+l+_binary64 |
| 1160× | +-commutative_binary64 |
| 978× | fma-def_binary64 |
| 286× | associate-+r+_binary64 |
| 61× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 194 | 870 |
| 1 | 565 | 754 |
| 2 | 2236 | 754 |
| 3 | 2872 | 754 |
| 4 | 2900 | 754 |
| 5 | 2900 | 754 |
| 6 | 3690 | 754 |
| 7 | 3810 | 754 |
| 8 | 3810 | 754 |
| 9 | 3810 | 754 |
| 0 | 8 | 8 |
| 1 | 8 | 8 |
| 1× | unsound |
| 1× | node limit |
(sort z t a)
Compiled 29 to 20 computations (31% saved)
| 1× | egg-herbie |
| 1877× | associate-+l+_binary64 |
| 859× | associate-+r+_binary64 |
| 762× | +-commutative_binary64 |
| 750× | fma-def_binary64 |
| 5× | *-commutative_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 30 |
| 1 | 41 | 26 |
| 2 | 113 | 26 |
| 3 | 493 | 26 |
| 4 | 1588 | 26 |
| 5 | 2153 | 26 |
| 6 | 2259 | 26 |
| 7 | 2259 | 26 |
| 8 | 2259 | 26 |
| 9 | 2259 | 26 |
| 10 | 4029 | 26 |
| 11 | 4281 | 26 |
| 12 | 4281 | 26 |
| 13 | 4506 | 26 |
| 14 | 4506 | 26 |
| 15 | 4705 | 26 |
| 1× | saturated |
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 |
| ▶ | 0.1b | (+.f64 z (+.f64 t (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a))))) |
Compiled 99 to 61 computations (38.4% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (+.f64 z (+.f64 t (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a))))) |
| ✓ | 0.0b | (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a)) |
| ✓ | 0.1b | (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a))) |
| ✓ | 0.1b | (fma.f64 (+.f64 b -1/2) (log.f64 c) a) |
66 calls:
| 61.0ms | (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a))) | c | 0 |
| 60.0ms | (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a))) | c | -inf |
| 58.0ms | (+.f64 z (+.f64 t (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a))))) | c | -inf |
| 58.0ms | (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a))) | c | inf |
| 56.0ms | (+.f64 z (+.f64 t (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a))))) | c | inf |
| 1× | batch-egg-rewrite |
| 198× | add-sqr-sqrt_binary64 |
| 187× | log1p-expm1-u_binary64 |
| 187× | expm1-log1p-u_binary64 |
| 186× | add-cbrt-cube_binary64 |
| 184× | add-log-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 70 |
| 1 | 383 | 70 |
| 1× | node limit |
| 1× | egg-herbie |
| 807× | associate--l+_binary64 |
| 647× | sub-neg_binary64 |
| 548× | +-commutative_binary64 |
| 526× | fma-neg_binary64 |
| 502× | fma-def_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 168 | 6254 |
| 1 | 584 | 5709 |
| 2 | 1582 | 5086 |
| 3 | 4024 | 5054 |
| 1× | node limit |
4 alts after pruning (3 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 164 | 3 | 167 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 164 | 4 | 168 |
| Status | Error | Program |
| ✓ | 0.1b | (+.f64 z (+.f64 t (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a))))) |
| ▶ | 0.6b | (+.f64 z (+.f64 t (fma.f64 x (log.f64 y) (fma.f64 y i (*.f64 (cbrt.f64 (fma.f64 (+.f64 b -1/2) (log.f64 c) a)) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 b -1/2) (log.f64 c) a)) 2)))))) |
| 23.8b | (+.f64 z (+.f64 t (pow.f64 (sqrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a)))) 2))) | |
| 1.0b | (+.f64 z (+.f64 t (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a)))) 3))) |
Compiled 4506 to 2015 computations (55.3% saved)
Found 4 expressions with local error:
| New | Error | Program |
| 0.1b | (fma.f64 (+.f64 b -1/2) (log.f64 c) a) | |
| ✓ | 0.3b | (*.f64 (cbrt.f64 (fma.f64 (+.f64 b -1/2) (log.f64 c) a)) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 b -1/2) (log.f64 c) a)) 2)) |
| ✓ | 0.5b | (cbrt.f64 (fma.f64 (+.f64 b -1/2) (log.f64 c) a)) |
| ✓ | 0.5b | (pow.f64 (cbrt.f64 (fma.f64 (+.f64 b -1/2) (log.f64 c) a)) 2) |
27 calls:
| 70.0ms | (pow.f64 (cbrt.f64 (fma.f64 (+.f64 b -1/2) (log.f64 c) a)) 2) | c | -inf |
| 66.0ms | (cbrt.f64 (fma.f64 (+.f64 b -1/2) (log.f64 c) a)) | c | -inf |
| 45.0ms | (pow.f64 (cbrt.f64 (fma.f64 (+.f64 b -1/2) (log.f64 c) a)) 2) | c | 0 |
| 43.0ms | (cbrt.f64 (fma.f64 (+.f64 b -1/2) (log.f64 c) a)) | c | 0 |
| 43.0ms | (pow.f64 (cbrt.f64 (fma.f64 (+.f64 b -1/2) (log.f64 c) a)) 2) | c | inf |
| 1× | batch-egg-rewrite |
| 447× | log-prod_binary64 |
| 191× | expm1-udef_binary64 |
| 191× | log1p-udef_binary64 |
| 190× | pow1/3_binary64 |
| 175× | pow3_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 37 |
| 1 | 249 | 37 |
| 2 | 2660 | 37 |
| 1× | node limit |
| 1× | egg-herbie |
| 814× | associate-*r*_binary64 |
| 758× | associate-*l*_binary64 |
| 409× | fma-def_binary64 |
| 216× | cancel-sign-sub-inv_binary64 |
| 137× | unswap-sqr_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 125 | 2601 |
| 1 | 406 | 2232 |
| 2 | 1264 | 2020 |
| 1× | node limit |
7 alts after pruning (5 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 245 | 3 | 248 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 245 | 7 | 252 |
| Status | Error | Program |
| ✓ | 0.1b | (+.f64 z (+.f64 t (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a))))) |
| ✓ | 0.6b | (+.f64 z (+.f64 t (fma.f64 x (log.f64 y) (fma.f64 y i (*.f64 (cbrt.f64 (fma.f64 (+.f64 b -1/2) (log.f64 c) a)) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 b -1/2) (log.f64 c) a)) 2)))))) |
| ▶ | 0.2b | (+.f64 z (+.f64 t (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (*.f64 (+.f64 b -1/2) (cbrt.f64 (pow.f64 (log.f64 c) 2))) (cbrt.f64 (log.f64 c)) a))))) |
| 23.8b | (+.f64 z (+.f64 t (pow.f64 (sqrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a)))) 2))) | |
| 46.1b | (+.f64 z (+.f64 t (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (sqrt.f64 (+.f64 b -1/2)) (*.f64 (sqrt.f64 (+.f64 b -1/2)) (log.f64 c)) a))))) | |
| 1.0b | (+.f64 z (+.f64 t (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a)))) 3))) | |
| 0.8b | (+.f64 z (+.f64 t (fma.f64 x (log.f64 y) (fma.f64 y i (*.f64 (cbrt.f64 (fma.f64 (+.f64 b -1/2) (log.f64 c) a)) (*.f64 (*.f64 (cbrt.f64 (fma.f64 (+.f64 b -1/2) (log.f64 c) a)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (+.f64 b -1/2) (log.f64 c) a))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 (+.f64 b -1/2) (log.f64 c) a))))))))) |
Compiled 10164 to 5731 computations (43.6% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.2b | (fma.f64 (*.f64 (+.f64 b -1/2) (cbrt.f64 (pow.f64 (log.f64 c) 2))) (cbrt.f64 (log.f64 c)) a) |
| ✓ | 0.5b | (cbrt.f64 (pow.f64 (log.f64 c) 2)) |
| ✓ | 0.5b | (cbrt.f64 (log.f64 c)) |
| ✓ | 0.5b | (pow.f64 (log.f64 c) 2) |
18 calls:
| 132.0ms | (fma.f64 (*.f64 (+.f64 b -1/2) (cbrt.f64 (pow.f64 (log.f64 c) 2))) (cbrt.f64 (log.f64 c)) a) | c | inf |
| 95.0ms | (cbrt.f64 (log.f64 c)) | c | inf |
| 72.0ms | (fma.f64 (*.f64 (+.f64 b -1/2) (cbrt.f64 (pow.f64 (log.f64 c) 2))) (cbrt.f64 (log.f64 c)) a) | c | -inf |
| 54.0ms | (fma.f64 (*.f64 (+.f64 b -1/2) (cbrt.f64 (pow.f64 (log.f64 c) 2))) (cbrt.f64 (log.f64 c)) a) | c | 0 |
| 47.0ms | (fma.f64 (*.f64 (+.f64 b -1/2) (cbrt.f64 (pow.f64 (log.f64 c) 2))) (cbrt.f64 (log.f64 c)) a) | b | inf |
| 1× | batch-egg-rewrite |
| 538× | log-prod_binary64 |
| 219× | expm1-udef_binary64 |
| 219× | log1p-udef_binary64 |
| 197× | log-pow_binary64 |
| 146× | prod-diff_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 41 |
| 1 | 265 | 31 |
| 2 | 3061 | 29 |
| 1× | node limit |
| 1× | egg-herbie |
| 344× | fma-def_binary64 |
| 291× | distribute-rgt-neg-in_binary64 |
| 250× | associate-*l*_binary64 |
| 243× | associate-*r*_binary64 |
| 243× | distribute-lft-neg-in_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 843 |
| 1 | 134 | 684 |
| 2 | 310 | 598 |
| 3 | 973 | 582 |
| 4 | 3469 | 582 |
| 1× | node limit |
9 alts after pruning (6 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 126 | 2 | 128 |
| Fresh | 0 | 4 | 4 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 126 | 9 | 135 |
| Status | Error | Program |
| ✓ | 0.1b | (+.f64 z (+.f64 t (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a))))) |
| ✓ | 0.6b | (+.f64 z (+.f64 t (fma.f64 x (log.f64 y) (fma.f64 y i (*.f64 (cbrt.f64 (fma.f64 (+.f64 b -1/2) (log.f64 c) a)) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 b -1/2) (log.f64 c) a)) 2)))))) |
| ✓ | 0.2b | (+.f64 z (+.f64 t (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (*.f64 (+.f64 b -1/2) (cbrt.f64 (pow.f64 (log.f64 c) 2))) (cbrt.f64 (log.f64 c)) a))))) |
| 23.8b | (+.f64 z (+.f64 t (pow.f64 (sqrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a)))) 2))) | |
| 46.1b | (+.f64 z (+.f64 t (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (sqrt.f64 (+.f64 b -1/2)) (*.f64 (sqrt.f64 (+.f64 b -1/2)) (log.f64 c)) a))))) | |
| 1.0b | (+.f64 z (+.f64 t (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a)))) 3))) | |
| 0.8b | (+.f64 z (+.f64 t (fma.f64 x (log.f64 y) (fma.f64 y i (*.f64 (cbrt.f64 (fma.f64 (+.f64 b -1/2) (log.f64 c) a)) (*.f64 (*.f64 (cbrt.f64 (fma.f64 (+.f64 b -1/2) (log.f64 c) a)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (+.f64 b -1/2) (log.f64 c) a))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 (+.f64 b -1/2) (log.f64 c) a))))))))) | |
| ▶ | 0.2b | (+.f64 z (+.f64 t (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (*.f64 (+.f64 b -1/2) (cbrt.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 c) 2)) (cbrt.f64 (pow.f64 (log.f64 c) 4))))) (cbrt.f64 (log.f64 c)) a))))) |
| 32.1b | (+.f64 z (+.f64 t (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (*.f64 (+.f64 b -1/2) (cbrt.f64 (pow.f64 (log.f64 c) 2))) (*.f64 (pow.f64 (log.f64 (/.f64 1 c)) 1/3) (cbrt.f64 -1)) a))))) |
Compiled 4095 to 2088 computations (49% saved)
Found 4 expressions with local error:
| New | Error | Program |
| 0.5b | (cbrt.f64 (log.f64 c)) | |
| 0.5b | (pow.f64 (log.f64 c) 2) | |
| ✓ | 0.6b | (cbrt.f64 (pow.f64 (log.f64 c) 4)) |
| ✓ | 0.9b | (pow.f64 (log.f64 c) 4) |
6 calls:
| 40.0ms | (cbrt.f64 (pow.f64 (log.f64 c) 4)) | c | -inf |
| 35.0ms | (cbrt.f64 (pow.f64 (log.f64 c) 4)) | c | inf |
| 34.0ms | (cbrt.f64 (pow.f64 (log.f64 c) 4)) | c | 0 |
| 10.0ms | (pow.f64 (log.f64 c) 4) | c | inf |
| 10.0ms | (pow.f64 (log.f64 c) 4) | c | -inf |
| 1× | batch-egg-rewrite |
| 430× | log1p-expm1-u_binary64 |
| 430× | expm1-log1p-u_binary64 |
| 313× | unpow-prod-down_binary64 |
| 218× | log-prod_binary64 |
| 131× | pow2_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 14 |
| 1 | 120 | 14 |
| 2 | 1284 | 14 |
| 1× | node limit |
| 1× | egg-herbie |
| 629× | unswap-sqr_binary64 |
| 455× | associate-*l*_binary64 |
| 369× | associate-*r*_binary64 |
| 318× | distribute-rgt-in_binary64 |
| 261× | fma-neg_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 160 |
| 1 | 46 | 160 |
| 2 | 74 | 144 |
| 3 | 165 | 144 |
| 4 | 609 | 144 |
| 5 | 3372 | 144 |
| 1× | node limit |
9 alts after pruning (5 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 138 | 0 | 138 |
| Fresh | 0 | 5 | 5 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 3 | 3 |
| Total | 138 | 9 | 147 |
| Status | Error | Program |
| ✓ | 0.1b | (+.f64 z (+.f64 t (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a))))) |
| ✓ | 0.6b | (+.f64 z (+.f64 t (fma.f64 x (log.f64 y) (fma.f64 y i (*.f64 (cbrt.f64 (fma.f64 (+.f64 b -1/2) (log.f64 c) a)) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 b -1/2) (log.f64 c) a)) 2)))))) |
| ✓ | 0.2b | (+.f64 z (+.f64 t (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (*.f64 (+.f64 b -1/2) (cbrt.f64 (pow.f64 (log.f64 c) 2))) (cbrt.f64 (log.f64 c)) a))))) |
| 23.8b | (+.f64 z (+.f64 t (pow.f64 (sqrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a)))) 2))) | |
| 46.1b | (+.f64 z (+.f64 t (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (sqrt.f64 (+.f64 b -1/2)) (*.f64 (sqrt.f64 (+.f64 b -1/2)) (log.f64 c)) a))))) | |
| 1.0b | (+.f64 z (+.f64 t (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (+.f64 b -1/2) (log.f64 c) a)))) 3))) | |
| 0.8b | (+.f64 z (+.f64 t (fma.f64 x (log.f64 y) (fma.f64 y i (*.f64 (cbrt.f64 (fma.f64 (+.f64 b -1/2) (log.f64 c) a)) (*.f64 (*.f64 (cbrt.f64 (fma.f64 (+.f64 b -1/2) (log.f64 c) a)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (+.f64 b -1/2) (log.f64 c) a))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 (+.f64 b -1/2) (log.f64 c) a))))))))) | |
| ✓ | 0.2b | (+.f64 z (+.f64 t (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (*.f64 (+.f64 b -1/2) (cbrt.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 c) 2)) (cbrt.f64 (pow.f64 (log.f64 c) 4))))) (cbrt.f64 (log.f64 c)) a))))) |
| 32.1b | (+.f64 z (+.f64 t (fma.f64 x (log.f64 y) (fma.f64 y i (fma.f64 (*.f64 (+.f64 b -1/2) (cbrt.f64 (pow.f64 (log.f64 c) 2))) (*.f64 (pow.f64 (log.f64 (/.f64 1 c)) 1/3) (cbrt.f64 -1)) a))))) |
Compiled 5401 to 2875 computations (46.8% saved)
Total 0.0b remaining (48.8%)
Threshold costs 0.0b (48.8%)
Compiled 21279 to 14461 computations (32% saved)
| 1× | egg-herbie |
| 3× | +-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 26 |
| 1 | 21 | 26 |
| 1× | saturated |
| 1× | fuel |
Compiled 428 to 287 computations (32.9% saved)
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