Time bar (total: 16.0s)
| 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 |
| 18.7% | 68.7% | 12.6% | 5 |
| 21.9% | 59.3% | 18.8% | 6 |
| 25% | 50% | 25.1% | 7 |
| 26.5% | 45.3% | 28.2% | 8 |
| 28.1% | 35.9% | 36% | 9 |
| 28.9% | 32.4% | 38.7% | 10 |
| 30.3% | 26.5% | 43.1% | 11 |
| 30.7% | 25% | 44.3% | 12 |
| 31.1% | 22.3% | 46.6% | 13 |
| 31.3% | 21.2% | 47.5% | 14 |
Compiled 16 to 12 computations (25% saved)
| 2.4s | 2806× | body | 1024 | valid |
| 2.2s | 1681× | body | 1024 | invalid |
| 1.7s | 1817× | body | 2048 | valid |
| 775.0ms | 1291× | body | 512 | valid |
| 766.0ms | 994× | body | 512 | invalid |
| 351.0ms | 1778× | body | 128 | valid |
| 229.0ms | 528× | body | 256 | invalid |
| 206.0ms | 564× | body | 256 | valid |
| 198.0ms | 1063× | body | 128 | invalid |
| 13.0ms | 8× | body | 2048 | invalid |
| 2× | egg-herbie |
| 754× | fma-def_binary64 |
| 470× | distribute-rgt-in_binary64 |
| 438× | distribute-lft-in_binary64 |
| 314× | associate-*l*_binary64 |
| 268× | unswap-sqr_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 38 |
| 1 | 33 | 38 |
| 2 | 76 | 38 |
| 3 | 195 | 38 |
| 4 | 656 | 38 |
| 5 | 2206 | 38 |
| 0 | 2 | 2 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
1 |
| Outputs |
|---|
0 |
1 |
| Inputs |
|---|
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) |
(-.f64 (pow.f64 (+.f64 n 1) (/.f64 1 x)) (pow.f64 n (/.f64 1 x))) |
| Outputs |
|---|
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) |
(-.f64 (pow.f64 (+.f64 n 1) (/.f64 1 x)) (pow.f64 n (/.f64 1 x))) |
(-.f64 (pow.f64 (+.f64 1 n) (/.f64 1 x)) (pow.f64 n (/.f64 1 x))) |
Compiled 15 to 11 computations (26.7% saved)
| 1× | egg-herbie |
| 436× | unswap-sqr_binary64 |
| 377× | fma-def_binary64 |
| 235× | distribute-rgt-in_binary64 |
| 219× | distribute-lft-in_binary64 |
| 212× | fma-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 19 |
| 1 | 20 | 19 |
| 2 | 42 | 19 |
| 3 | 104 | 19 |
| 4 | 340 | 19 |
| 5 | 1111 | 19 |
| 6 | 3393 | 19 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) |
| Outputs |
|---|
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) |
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 |
|---|---|---|
| ▶ | 34.3b | (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) |
Compiled 45 to 33 computations (26.7% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 1.0b | (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) |
| 2.0ms | x | @ | inf | (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) |
| 2.0ms | n | @ | inf | (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) |
| 1.0ms | x | @ | 0 | (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) |
| 1.0ms | n | @ | -inf | (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) |
| 1× | batch-egg-rewrite |
| 547× | prod-diff_binary64 |
| 294× | fma-def_binary64 |
| 178× | log1p-udef_binary64 |
| 177× | expm1-udef_binary64 |
| 155× | fma-neg_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 19 |
| 1 | 207 | 17 |
| 2 | 2847 | 17 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) |
| Outputs |
|---|
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(pow.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 1 n)) (pow.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 1 n)) (neg.f64 (pow.f64 x (/.f64 1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 1 n)) (pow.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 1 n)) (*.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (-.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (fma.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1 (pow.f64 x (/.f64 1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (-.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))) (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) (pow.f64 x (/.f64 1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (-.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2)) (cbrt.f64 (pow.f64 x (/.f64 1 n))) (exp.f64 (/.f64 (log1p.f64 x) n)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))))))) |
| 1× | egg-herbie |
| 598× | fma-def_binary64 |
| 554× | times-frac_binary64 |
| 441× | associate-/l*_binary64 |
| 306× | associate-/r*_binary64 |
| 195× | cancel-sign-sub-inv_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 151 | 1366 |
| 1 | 469 | 1293 |
| 2 | 1645 | 1212 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 (+.f64 (/.f64 x n) 1) (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 (+.f64 (/.f64 x n) (+.f64 1 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)))) (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2)))) (pow.f64 x 3)) (+.f64 (/.f64 x n) (+.f64 1 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2))))) (exp.f64 (/.f64 (log.f64 x) n))) |
(/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x)) |
(+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x))) |
(+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2))))) (pow.f64 x 3)) (/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x)))) |
(+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2))))) (pow.f64 x 3)) (+.f64 (/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x)) (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/24 (/.f64 1 (pow.f64 n 4))) (*.f64 11/24 (/.f64 1 (pow.f64 n 2)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 3))) (*.f64 1/4 (/.f64 1 n)))) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))) (pow.f64 x 4))))) |
(/.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (*.f64 n x)) |
(+.f64 (/.f64 (*.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (/.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (*.f64 n x))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (+.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 3))))) (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) (pow.f64 x 3))) (+.f64 (/.f64 (*.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (/.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (*.f64 n x)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (+.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 3))))) (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) (pow.f64 x 3))) (+.f64 (/.f64 (*.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (-.f64 (+.f64 (*.f64 1/24 (/.f64 1 (pow.f64 n 4))) (*.f64 11/24 (/.f64 1 (pow.f64 n 2)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 3))) (*.f64 1/4 (/.f64 1 n))))) (pow.f64 x 4)) (/.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (*.f64 n x))))) |
(-.f64 (exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n)) (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 (exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n)) (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 (exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n)) (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 (exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n)) (exp.f64 (/.f64 (log.f64 x) n))) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (/.f64 (log.f64 (+.f64 1 x)) n)) (+.f64 (/.f64 (log.f64 x) n) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3) (pow.f64 n 3))) (/.f64 (log.f64 (+.f64 1 x)) n))) (+.f64 (/.f64 (log.f64 x) n) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 4) (pow.f64 n 4))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3) (pow.f64 n 3))) (/.f64 (log.f64 (+.f64 1 x)) n)))) (+.f64 (/.f64 (log.f64 x) n) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))))) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (log.f64 (+.f64 1 x))) (*.f64 -1 (log.f64 x))) n)) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (log.f64 (+.f64 1 x))) (*.f64 -1 (log.f64 x))) n))) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1/6 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (*.f64 -1/6 (pow.f64 (log.f64 x) 3))) (pow.f64 n 3))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (log.f64 (+.f64 1 x))) (*.f64 -1 (log.f64 x))) n)))) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 4) (pow.f64 n 4))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1/6 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (*.f64 -1/6 (pow.f64 (log.f64 x) 3))) (pow.f64 n 3))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (log.f64 (+.f64 1 x))) (*.f64 -1 (log.f64 x))) n))))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))))) |
| Outputs |
|---|
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 (+.f64 (/.f64 x n) 1) (exp.f64 (/.f64 (log.f64 x) n))) |
(+.f64 (/.f64 x n) (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) |
(+.f64 1 (-.f64 (/.f64 x n) (exp.f64 (/.f64 (log.f64 x) n)))) |
(-.f64 (+.f64 1 (/.f64 x n)) (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 (+.f64 (/.f64 x n) (+.f64 1 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)))) (exp.f64 (/.f64 (log.f64 x) n))) |
(+.f64 (/.f64 x n) (-.f64 (+.f64 1 (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) (exp.f64 (/.f64 (log.f64 x) n)))) |
(+.f64 (fma.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (*.f64 x x) 1) (-.f64 (/.f64 x n) (exp.f64 (/.f64 (log.f64 x) n)))) |
(+.f64 (/.f64 x n) (fma.f64 x (*.f64 x (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n))) (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))))) |
(-.f64 (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2)))) (pow.f64 x 3)) (+.f64 (/.f64 x n) (+.f64 1 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2))))) (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 (fma.f64 (-.f64 (+.f64 (/.f64 1/3 n) (/.f64 1/6 (pow.f64 n 3))) (/.f64 1/2 (*.f64 n n))) (pow.f64 x 3) (+.f64 (/.f64 x n) (+.f64 1 (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))))) (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 (+.f64 (fma.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (*.f64 x x) 1) (fma.f64 (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n)))) (pow.f64 x 3) (/.f64 x n))) (exp.f64 (/.f64 (log.f64 x) n))) |
(+.f64 (fma.f64 (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 (/.f64 -1/2 n) n))) (pow.f64 x 3) (/.f64 x n)) (fma.f64 x (*.f64 x (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n))) (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))))) |
(/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x)) |
(/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 x n)) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) |
(+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x))) |
(+.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 x n)) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (*.f64 x x) (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n))))) |
(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x x)) (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)))) |
(fma.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x x)) (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))) |
(+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2))))) (pow.f64 x 3)) (/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x)))) |
(+.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (*.f64 x x) (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))) (+.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 x n)) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (pow.f64 x 3) (-.f64 (+.f64 (/.f64 1/3 n) (/.f64 1/6 (pow.f64 n 3))) (/.f64 1/2 (*.f64 n n))))))) |
(+.f64 (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x x)) (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n))) (+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3)) (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n))))))) |
(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x x)) (+.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (/.f64 (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 (/.f64 -1/2 n) n))) x)))) |
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(+.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (*.f64 (/.f64 1/2 n) (-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n) (/.f64 (pow.f64 (log.f64 x) 2) n)))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1/6 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (*.f64 -1/6 (pow.f64 (log.f64 x) 3))) (pow.f64 n 3))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (log.f64 (+.f64 1 x))) (*.f64 -1 (log.f64 x))) n)))) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))) |
(+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (*.f64 -1 (+.f64 (/.f64 (*.f64 -1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (pow.f64 n 3)) (/.f64 (*.f64 -1 (-.f64 (log1p.f64 x) (log.f64 x))) n)))) (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)))) |
(+.f64 (-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (/.f64 (*.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (pow.f64 n 3))) (/.f64 (fma.f64 -1 (log1p.f64 x) (log.f64 x)) n)) (/.f64 (*.f64 -1/2 (pow.f64 (log.f64 x) 2)) (*.f64 n n))) |
(+.f64 (+.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (/.f64 1/6 (/.f64 (pow.f64 n 3) (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))))) (*.f64 (/.f64 1/2 n) (-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n) (/.f64 (pow.f64 (log.f64 x) 2) n)))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 4) (pow.f64 n 4))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1/6 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (*.f64 -1/6 (pow.f64 (log.f64 x) 3))) (pow.f64 n 3))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (log.f64 (+.f64 1 x))) (*.f64 -1 (log.f64 x))) n))))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))))) |
(-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (fma.f64 1/24 (/.f64 (pow.f64 (log1p.f64 x) 4) (pow.f64 n 4)) (*.f64 -1 (+.f64 (/.f64 (*.f64 -1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (pow.f64 n 3)) (/.f64 (*.f64 -1 (-.f64 (log1p.f64 x) (log.f64 x))) n))))) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (*.f64 1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))))) |
(-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (-.f64 (fma.f64 1/24 (/.f64 (pow.f64 (log1p.f64 x) 4) (pow.f64 n 4)) (/.f64 (*.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (pow.f64 n 3))) (/.f64 (fma.f64 -1 (log1p.f64 x) (log.f64 x)) n))) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (/.f64 1/24 (/.f64 (pow.f64 n 4) (pow.f64 (log.f64 x) 4))))) |
(+.f64 (+.f64 (+.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (fma.f64 1/24 (/.f64 (pow.f64 (log1p.f64 x) 4) (pow.f64 n 4)) (/.f64 1/6 (/.f64 (pow.f64 n 3) (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)))))) (*.f64 (/.f64 1/2 n) (-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n) (/.f64 (pow.f64 (log.f64 x) 2) n)))) (*.f64 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)) -1/24)) |
4 alts after pruning (4 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 146 | 4 | 150 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 147 | 4 | 151 |
| Status | Error | Program |
|---|---|---|
| 36.0b | (+.f64 (fma.f64 (/.f64 (+.f64 (/.f64 1/24 (pow.f64 n 4)) (+.f64 (/.f64 11/24 (*.f64 n n)) (+.f64 (/.f64 -1/4 n) (/.f64 -1/4 (pow.f64 n 3))))) (pow.f64 x 4)) (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))) (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x x)) (+.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (/.f64 (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 (/.f64 -1/2 n) n))) x)))) | |
| 34.3b | (pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 3) | |
| 45.1b | (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 3)) (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (-.f64 (*.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (neg.f64 (pow.f64 x (/.f64 1 n)))) (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (neg.f64 (pow.f64 x (/.f64 1 n))))))) | |
| ▶ | 23.3b | (-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))) |
Compiled 5515 to 3292 computations (40.3% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 3.5b | (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) |
| ✓ | 5.3b | (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) |
| ✓ | 7.5b | (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))) |
| ✓ | 9.5b | (-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))) |
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 31.0ms | x | @ | 0 | (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))) |
| 13.0ms | x | @ | -inf | (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))) |
| 12.0ms | n | @ | 0 | (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) |
| 12.0ms | x | @ | inf | (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))) |
| 7.0ms | x | @ | -inf | (-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))) |
| 1× | batch-egg-rewrite |
| 246× | add-sqr-sqrt_binary64 |
| 242× | pow1_binary64 |
| 237× | *-un-lft-identity_binary64 |
| 234× | add-log-exp_binary64 |
| 234× | expm1-log1p-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 146 |
| 1 | 517 | 146 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))) |
(fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))) |
(fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) |
(/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (neg.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (fma.f64 1/2 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))))) (sqrt.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))) (fma.f64 1/2 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (fma.f64 1/2 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (neg.f64 (*.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))) 1))) (fma.f64 (neg.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))) 1 (*.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n)))) 2) (cbrt.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n)))) (neg.f64 (*.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))) 1))) (fma.f64 (neg.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))) 1 (*.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n)))) (sqrt.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n)))) (neg.f64 (*.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))) 1))) (fma.f64 (neg.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))) 1 (*.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (fma.f64 1/2 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (neg.f64 (*.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))) 2) (*.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n)))) 2) (cbrt.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n)))) (neg.f64 (*.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2))) 2) (cbrt.f64 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2))) (sqrt.f64 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 n n) (pow.f64 (log1p.f64 x) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 (log1p.f64 x) 2)) (pow.f64 n -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)))))))) |
| 1× | egg-herbie |
| 454× | fma-def_binary64 |
| 411× | associate-+r+_binary64 |
| 296× | associate-+l+_binary64 |
| 245× | associate-/r*_binary64 |
| 217× | times-frac_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 390 | 6889 |
| 1 | 1373 | 6495 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (+.f64 (/.f64 (log.f64 x) n) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))) |
(+.f64 (/.f64 x n) (*.f64 -1 (+.f64 (/.f64 (log.f64 x) n) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))))) |
(+.f64 (/.f64 x n) (+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)) (*.f64 -1 (+.f64 (/.f64 (log.f64 x) n) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))))) |
(+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2)))) (pow.f64 x 3)) (+.f64 (/.f64 x n) (+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)) (*.f64 -1 (+.f64 (/.f64 (log.f64 x) n) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))))))) |
(/.f64 (+.f64 (/.f64 1 n) (+.f64 (*.f64 1/6 (+.f64 (*.f64 2 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 n 3))) (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 n 3)))) (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 2))))) x) |
(-.f64 (+.f64 (*.f64 1/6 (/.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (log.f64 (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 2)))) n)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 n 3))) (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 3))))) (pow.f64 x 2))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 2))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) (*.f64 (pow.f64 n 2) x))) (+.f64 (*.f64 1/6 (/.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 n 3))) (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 n 3))) x)) (/.f64 1 (*.f64 n x)))))) (/.f64 1/2 (*.f64 n (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 2))) (pow.f64 x 2))) (+.f64 (/.f64 1 (*.f64 n x)) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (+.f64 (*.f64 1/6 (/.f64 (+.f64 (/.f64 1 (pow.f64 n 3)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 n 3))) (+.f64 (*.f64 2 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 3))) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -2/3 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 2))) (/.f64 1 (pow.f64 n 2))) (log.f64 (/.f64 1 x))) n))))) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -2/3 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 2))) (/.f64 1 (pow.f64 n 2))) (pow.f64 x 3))) (+.f64 (*.f64 1/6 (/.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (log.f64 (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 2)))) n)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 n 3))) (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 3))))) (pow.f64 x 2))) (+.f64 (*.f64 1/6 (/.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 n 3))) (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 n 3))) x)) (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) (*.f64 (pow.f64 n 2) x)))))))))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))) |
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(/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) (pow.f64 n 2)) |
(+.f64 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) (pow.f64 n 2)) (*.f64 2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (*.f64 (pow.f64 n 2) x)))) |
(+.f64 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) (pow.f64 n 2)) (+.f64 (/.f64 1 (*.f64 (pow.f64 n 2) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (*.f64 (pow.f64 n 2) (pow.f64 x 2)))) (*.f64 2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (*.f64 (pow.f64 n 2) x)))))) |
(+.f64 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) (pow.f64 n 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (*.f64 (pow.f64 n 2) (pow.f64 x 2)))) (+.f64 (/.f64 1 (*.f64 (pow.f64 n 2) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (*.f64 -2/3 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 n 2)))) (pow.f64 x 3))) (*.f64 2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (*.f64 (pow.f64 n 2) x))))))) |
(/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2)) |
(/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2)) |
(/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2)) |
(/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2)) |
(/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2)) |
(/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2)) |
(/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2)) |
(/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2)) |
(/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2)) |
(/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2)) |
(/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2)) |
(/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2)) |
| Outputs |
|---|
(*.f64 -1 (+.f64 (/.f64 (log.f64 x) n) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))) |
(neg.f64 (+.f64 (/.f64 (log.f64 x) n) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))) |
(neg.f64 (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (/.f64 (log.f64 x) n)) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))) |
(+.f64 (/.f64 x n) (*.f64 -1 (+.f64 (/.f64 (log.f64 x) n) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))))) |
(+.f64 (neg.f64 (+.f64 (/.f64 (log.f64 x) n) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))) (/.f64 x n)) |
(-.f64 (/.f64 x n) (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (/.f64 (log.f64 x) n)) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))) |
(+.f64 (/.f64 x n) (+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)) (*.f64 -1 (+.f64 (/.f64 (log.f64 x) n) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))))) |
(+.f64 (/.f64 x n) (fma.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x) (neg.f64 (+.f64 (/.f64 (log.f64 x) n) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))))) |
(-.f64 (fma.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (*.f64 x x) (/.f64 x n)) (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (/.f64 (log.f64 x) n)) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))) |
(+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2)))) (pow.f64 x 3)) (+.f64 (/.f64 x n) (+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)) (*.f64 -1 (+.f64 (/.f64 (log.f64 x) n) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))))))) |
(fma.f64 (+.f64 (/.f64 1/3 n) (-.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 1/2 (*.f64 n n)))) (pow.f64 x 3) (+.f64 (/.f64 x n) (fma.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x) (neg.f64 (+.f64 (/.f64 (log.f64 x) n) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))))))) |
(fma.f64 (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n)))) (pow.f64 x 3) (-.f64 (fma.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (*.f64 x x) (/.f64 x n)) (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (/.f64 (log.f64 x) n)) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))) |
(/.f64 (+.f64 (/.f64 1 n) (+.f64 (*.f64 1/6 (+.f64 (*.f64 2 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 n 3))) (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 n 3)))) (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 2))))) x) |
(/.f64 (+.f64 (/.f64 1 n) (fma.f64 1/6 (*.f64 3 (/.f64 (pow.f64 (neg.f64 (log.f64 x)) 2) (pow.f64 n 3))) (neg.f64 (/.f64 (neg.f64 (log.f64 x)) (*.f64 n n))))) x) |
(/.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 3))) (+.f64 (/.f64 (log.f64 x) (*.f64 n n)) (/.f64 1 n))) x) |
(-.f64 (+.f64 (*.f64 1/6 (/.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (log.f64 (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 2)))) n)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 n 3))) (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 3))))) (pow.f64 x 2))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 2))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) (*.f64 (pow.f64 n 2) x))) (+.f64 (*.f64 1/6 (/.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 n 3))) (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 n 3))) x)) (/.f64 1 (*.f64 n x)))))) (/.f64 1/2 (*.f64 n (pow.f64 x 2)))) |
(-.f64 (fma.f64 1/6 (/.f64 (fma.f64 -1 (/.f64 (neg.f64 (log.f64 x)) (/.f64 n (+.f64 (/.f64 1 (*.f64 n n)) (/.f64 (neg.f64 (log.f64 x)) (*.f64 n n))))) (fma.f64 -1/2 (/.f64 (pow.f64 (neg.f64 (log.f64 x)) 2) (pow.f64 n 3)) (/.f64 (*.f64 -2 (neg.f64 (log.f64 x))) (pow.f64 n 3)))) (*.f64 x x)) (fma.f64 1/2 (/.f64 (+.f64 (/.f64 1 (*.f64 n n)) (/.f64 (neg.f64 (log.f64 x)) (*.f64 n n))) (*.f64 x x)) (fma.f64 -1 (/.f64 (neg.f64 (log.f64 x)) (*.f64 x (*.f64 n n))) (fma.f64 1/6 (/.f64 (*.f64 3 (/.f64 (pow.f64 (neg.f64 (log.f64 x)) 2) (pow.f64 n 3))) x) (/.f64 1 (*.f64 x n)))))) (/.f64 1/2 (*.f64 n (*.f64 x x)))) |
(+.f64 (fma.f64 1/6 (/.f64 (+.f64 (/.f64 (log.f64 x) (/.f64 n (+.f64 (/.f64 1 (*.f64 n n)) (neg.f64 (/.f64 (log.f64 x) (*.f64 n n)))))) (fma.f64 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 3)) -1/2 (/.f64 (*.f64 2 (log.f64 x)) (pow.f64 n 3)))) (*.f64 x x)) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 n n))) (*.f64 x x))) (-.f64 (+.f64 (/.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 3))) x) (+.f64 (/.f64 1 (*.f64 x n)) (/.f64 (log.f64 x) (*.f64 x (*.f64 n n))))) (/.f64 1/2 (*.f64 x (*.f64 x n))))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 2))) (pow.f64 x 2))) (+.f64 (/.f64 1 (*.f64 n x)) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (+.f64 (*.f64 1/6 (/.f64 (+.f64 (/.f64 1 (pow.f64 n 3)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 n 3))) (+.f64 (*.f64 2 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 3))) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -2/3 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 2))) (/.f64 1 (pow.f64 n 2))) (log.f64 (/.f64 1 x))) n))))) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -2/3 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 2))) (/.f64 1 (pow.f64 n 2))) (pow.f64 x 3))) (+.f64 (*.f64 1/6 (/.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (log.f64 (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 2)))) n)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 n 3))) (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 3))))) (pow.f64 x 2))) (+.f64 (*.f64 1/6 (/.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 n 3))) (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 n 3))) x)) (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) (*.f64 (pow.f64 n 2) x)))))))))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))) |
(-.f64 (fma.f64 1/2 (/.f64 (+.f64 (/.f64 1 (*.f64 n n)) (/.f64 (neg.f64 (log.f64 x)) (*.f64 n n))) (*.f64 x x)) (+.f64 (+.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/3 (*.f64 n (pow.f64 x 3)))) (fma.f64 1/6 (/.f64 (+.f64 (/.f64 1 (pow.f64 n 3)) (fma.f64 1/3 (/.f64 (pow.f64 (neg.f64 (log.f64 x)) 2) (pow.f64 n 3)) (fma.f64 2 (/.f64 (neg.f64 (log.f64 x)) (pow.f64 n 3)) (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 -2/3 (neg.f64 (log.f64 x))) (*.f64 n n)) (/.f64 1 (*.f64 n n))) (/.f64 n (neg.f64 (log.f64 x)))))))) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 (-.f64 (/.f64 (*.f64 -2/3 (neg.f64 (log.f64 x))) (*.f64 n n)) (/.f64 1 (*.f64 n n))) (pow.f64 x 3)) (fma.f64 1/6 (/.f64 (fma.f64 -1 (/.f64 (neg.f64 (log.f64 x)) (/.f64 n (+.f64 (/.f64 1 (*.f64 n n)) (/.f64 (neg.f64 (log.f64 x)) (*.f64 n n))))) (fma.f64 -1/2 (/.f64 (pow.f64 (neg.f64 (log.f64 x)) 2) (pow.f64 n 3)) (/.f64 (*.f64 -2 (neg.f64 (log.f64 x))) (pow.f64 n 3)))) (*.f64 x x)) (fma.f64 1/6 (/.f64 (*.f64 3 (/.f64 (pow.f64 (neg.f64 (log.f64 x)) 2) (pow.f64 n 3))) x) (neg.f64 (/.f64 (neg.f64 (log.f64 x)) (*.f64 x (*.f64 n n)))))))))) (/.f64 1/2 (*.f64 n (*.f64 x x)))) |
(+.f64 (+.f64 (fma.f64 1/6 (/.f64 (+.f64 (/.f64 1 (pow.f64 n 3)) (+.f64 (fma.f64 1/3 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 3)) (/.f64 (*.f64 -2 (log.f64 x)) (pow.f64 n 3))) (/.f64 (*.f64 (log.f64 x) (+.f64 (/.f64 (*.f64 2/3 (log.f64 x)) (*.f64 n n)) (/.f64 -1 (*.f64 n n)))) n))) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 (+.f64 (/.f64 (*.f64 2/3 (log.f64 x)) (*.f64 n n)) (/.f64 -1 (*.f64 n n))) (pow.f64 x 3)) (fma.f64 1/6 (/.f64 (+.f64 (/.f64 (log.f64 x) (/.f64 n (+.f64 (/.f64 1 (*.f64 n n)) (neg.f64 (/.f64 (log.f64 x) (*.f64 n n)))))) (fma.f64 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 3)) -1/2 (/.f64 (*.f64 2 (log.f64 x)) (pow.f64 n 3)))) (*.f64 x x)) (+.f64 (/.f64 (log.f64 x) (*.f64 x (*.f64 n n))) (/.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 3))) x))))) (+.f64 (/.f64 1/3 (*.f64 n (pow.f64 x 3))) (/.f64 1 (*.f64 x n)))) (-.f64 (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 n n))) (*.f64 x x)) (/.f64 1/2 (*.f64 x (*.f64 x n))))) |
(-.f64 (+.f64 (*.f64 1/6 (/.f64 (-.f64 (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 n 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 n 2))) (+.f64 (*.f64 1/2 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 2))) (*.f64 1/4 (/.f64 1 (pow.f64 n 2))))) (log.f64 (/.f64 1 x))) n)) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 2))) n)) (*.f64 -4/3 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 3)))))) (/.f64 1 (pow.f64 n 3))) (pow.f64 x 4))) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 2))) (pow.f64 x 2))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 11/12 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 2)))) (pow.f64 x 4))) (+.f64 (/.f64 1 (*.f64 n x)) (+.f64 (*.f64 1/6 (/.f64 (+.f64 (/.f64 1 (pow.f64 n 3)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 n 3))) (+.f64 (*.f64 2 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 3))) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -2/3 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 2))) (/.f64 1 (pow.f64 n 2))) (log.f64 (/.f64 1 x))) n))))) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -2/3 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 2))) (/.f64 1 (pow.f64 n 2))) (pow.f64 x 3))) (+.f64 (*.f64 1/6 (/.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (log.f64 (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 2)))) n)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 n 3))) (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 3))))) (pow.f64 x 2))) (+.f64 (*.f64 1/6 (/.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 n 3))) (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 n 3))) x)) (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) (*.f64 (pow.f64 n 2) x)))))))))))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))) (*.f64 1/4 (/.f64 1 (*.f64 n (pow.f64 x 4)))))) |
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(+.f64 (fma.f64 11/12 (/.f64 (pow.f64 x 4) (*.f64 n n)) (*.f64 (/.f64 x n) (/.f64 x n))) (fma.f64 -5/6 (/.f64 (pow.f64 x 5) (*.f64 n n)) (/.f64 (neg.f64 (pow.f64 x 3)) (*.f64 n n)))) |
(/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 n 2)) |
(/.f64 (pow.f64 (neg.f64 (log.f64 x)) 2) (*.f64 n n)) |
(/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) |
(+.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) (*.f64 (pow.f64 n 2) x))) (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 n 2))) |
(fma.f64 -2 (/.f64 (neg.f64 (log.f64 x)) (*.f64 x (*.f64 n n))) (/.f64 (pow.f64 (neg.f64 (log.f64 x)) 2) (*.f64 n n))) |
(+.f64 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (/.f64 (*.f64 2 (log.f64 x)) (*.f64 x (*.f64 n n)))) |
(+.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) (*.f64 (pow.f64 n 2) x))) (+.f64 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 n 2)) (+.f64 (/.f64 (log.f64 (/.f64 1 x)) (*.f64 (pow.f64 n 2) (pow.f64 x 2))) (/.f64 1 (*.f64 (pow.f64 n 2) (pow.f64 x 2)))))) |
(+.f64 (fma.f64 -2 (/.f64 (neg.f64 (log.f64 x)) (*.f64 x (*.f64 n n))) (/.f64 (pow.f64 (neg.f64 (log.f64 x)) 2) (*.f64 n n))) (+.f64 (/.f64 (neg.f64 (log.f64 x)) (*.f64 (*.f64 n n) (*.f64 x x))) (/.f64 1 (*.f64 (*.f64 n n) (*.f64 x x))))) |
(+.f64 (+.f64 (/.f64 (neg.f64 (log.f64 x)) (*.f64 (*.f64 x n) (*.f64 x n))) (/.f64 1 (*.f64 (*.f64 x n) (*.f64 x n)))) (+.f64 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (/.f64 (*.f64 2 (log.f64 x)) (*.f64 x (*.f64 n n))))) |
(-.f64 (+.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) (*.f64 (pow.f64 n 2) x))) (+.f64 (*.f64 -2/3 (/.f64 (log.f64 (/.f64 1 x)) (*.f64 (pow.f64 n 2) (pow.f64 x 3)))) (+.f64 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 n 2)) (+.f64 (/.f64 (log.f64 (/.f64 1 x)) (*.f64 (pow.f64 n 2) (pow.f64 x 2))) (/.f64 1 (*.f64 (pow.f64 n 2) (pow.f64 x 2))))))) (/.f64 1 (*.f64 (pow.f64 n 2) (pow.f64 x 3)))) |
(-.f64 (fma.f64 -2 (/.f64 (neg.f64 (log.f64 x)) (*.f64 x (*.f64 n n))) (fma.f64 -2/3 (/.f64 (neg.f64 (log.f64 x)) (*.f64 (*.f64 n n) (pow.f64 x 3))) (+.f64 (/.f64 (pow.f64 (neg.f64 (log.f64 x)) 2) (*.f64 n n)) (+.f64 (/.f64 (neg.f64 (log.f64 x)) (*.f64 (*.f64 n n) (*.f64 x x))) (/.f64 1 (*.f64 (*.f64 n n) (*.f64 x x))))))) (/.f64 1 (*.f64 (*.f64 n n) (pow.f64 x 3)))) |
(+.f64 (/.f64 (*.f64 2 (log.f64 x)) (*.f64 x (*.f64 n n))) (+.f64 (+.f64 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (+.f64 (/.f64 (neg.f64 (log.f64 x)) (*.f64 (*.f64 x n) (*.f64 x n))) (/.f64 1 (*.f64 (*.f64 x n) (*.f64 x n))))) (/.f64 (+.f64 (/.f64 (*.f64 2/3 (log.f64 x)) (*.f64 n n)) (/.f64 -1 (*.f64 n n))) (pow.f64 x 3)))) |
(/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) (pow.f64 n 2)) |
(/.f64 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2) (*.f64 n n)) |
(/.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2) (*.f64 n n)) |
(+.f64 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) (pow.f64 n 2)) (*.f64 2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (*.f64 (pow.f64 n 2) x)))) |
(+.f64 (/.f64 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2) (*.f64 n n)) (*.f64 2 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (*.f64 x (*.f64 n n))))) |
(fma.f64 2 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (*.f64 x (*.f64 n n))) (/.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2) (*.f64 n n))) |
(+.f64 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) (pow.f64 n 2)) (+.f64 (/.f64 1 (*.f64 (pow.f64 n 2) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (*.f64 (pow.f64 n 2) (pow.f64 x 2)))) (*.f64 2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (*.f64 (pow.f64 n 2) x)))))) |
(+.f64 (/.f64 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2) (*.f64 n n)) (+.f64 (/.f64 1 (*.f64 (*.f64 n n) (*.f64 x x))) (fma.f64 -1 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (*.f64 (*.f64 n n) (*.f64 x x))) (*.f64 2 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (*.f64 x (*.f64 n n))))))) |
(+.f64 (-.f64 (/.f64 1 (*.f64 (*.f64 x n) (*.f64 x n))) (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (*.f64 (*.f64 x n) (*.f64 x n)))) (fma.f64 2 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (*.f64 x (*.f64 n n))) (/.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2) (*.f64 n n)))) |
(+.f64 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) (pow.f64 n 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (*.f64 (pow.f64 n 2) (pow.f64 x 2)))) (+.f64 (/.f64 1 (*.f64 (pow.f64 n 2) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (*.f64 -2/3 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 n 2)))) (pow.f64 x 3))) (*.f64 2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (*.f64 (pow.f64 n 2) x))))))) |
(+.f64 (/.f64 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2) (*.f64 n n)) (fma.f64 -1 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (*.f64 (*.f64 n n) (*.f64 x x))) (+.f64 (/.f64 1 (*.f64 (*.f64 n n) (*.f64 x x))) (fma.f64 -1 (/.f64 (+.f64 (/.f64 1 (*.f64 n n)) (*.f64 -2/3 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (*.f64 n n)))) (pow.f64 x 3)) (*.f64 2 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (*.f64 x (*.f64 n n)))))))) |
(+.f64 (/.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2) (*.f64 n n)) (+.f64 (-.f64 (*.f64 (/.f64 2 (*.f64 n n)) (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) x)) (/.f64 (fma.f64 -2/3 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (*.f64 n n)) (/.f64 1 (*.f64 n n))) (pow.f64 x 3))) (-.f64 (/.f64 1 (*.f64 (*.f64 x n) (*.f64 x n))) (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (*.f64 (*.f64 x n) (*.f64 x n)))))) |
(/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2)) |
(/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) |
(/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2)) |
(/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) |
(/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2)) |
(/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) |
(/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2)) |
(/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) |
(/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2)) |
(/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) |
(/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2)) |
(/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) |
(/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2)) |
(/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) |
(/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2)) |
(/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) |
(/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2)) |
(/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) |
(/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2)) |
(/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) |
(/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2)) |
(/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) |
(/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2)) |
(/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) |
11 alts after pruning (10 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 178 | 7 | 185 |
| Fresh | 0 | 3 | 3 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 178 | 11 | 189 |
| Status | Error | Program |
|---|---|---|
| 34.3b | (pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 3) | |
| 35.7b | (/.f64 (-.f64 (pow.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) 2) (pow.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))) 2)) (+.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (fma.f64 1/2 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))))) | |
| 45.1b | (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 3)) (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (-.f64 (*.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (neg.f64 (pow.f64 x (/.f64 1 n)))) (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (neg.f64 (pow.f64 x (/.f64 1 n))))))) | |
| 49.2b | (/.f64 (-.f64 (pow.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) 3) (pow.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))) 3)) (+.f64 (pow.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) 2) (+.f64 (pow.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))) 2) (*.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (fma.f64 1/2 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))))))) | |
| 48.6b | (-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (pow.f64 (sqrt.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))) 2)) | |
| 37.5b | (cbrt.f64 (pow.f64 (-.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (fma.f64 1/2 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))) 3)) | |
| 38.3b | (/.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 3))) (+.f64 (/.f64 (log.f64 x) (*.f64 n n)) (/.f64 1 n))) x) | |
| 36.0b | (+.f64 (fma.f64 (/.f64 (+.f64 (/.f64 1/24 (pow.f64 n 4)) (+.f64 (/.f64 11/24 (*.f64 n n)) (+.f64 (/.f64 -1/4 n) (/.f64 -1/4 (pow.f64 n 3))))) (pow.f64 x 4)) (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))) (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x x)) (+.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (/.f64 (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 (/.f64 -1/2 n) n))) x)))) | |
| 34.2b | (*.f64 (sqrt.f64 (-.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (fma.f64 1/2 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))))) (sqrt.f64 (-.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (fma.f64 1/2 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))))) | |
| ▶ | 23.7b | (*.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (fma.f64 1/2 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))))) 2) (cbrt.f64 (-.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (fma.f64 1/2 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))))) |
| ✓ | 23.3b | (-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))) |
Compiled 15794 to 9698 computations (38.6% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 4.0b | (cbrt.f64 (-.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (fma.f64 1/2 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))))) |
| ✓ | 5.3b | (fma.f64 1/2 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) |
| ✓ | 7.5b | (fma.f64 1/2 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))) |
| ✓ | 9.5b | (-.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (fma.f64 1/2 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))) |
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 39.0ms | x | @ | -inf | (cbrt.f64 (-.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (fma.f64 1/2 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))))) |
| 14.0ms | x | @ | inf | (cbrt.f64 (-.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (fma.f64 1/2 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))))) |
| 5.0ms | x | @ | 0 | (cbrt.f64 (-.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (fma.f64 1/2 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))))) |
| 3.0ms | n | @ | 0 | (cbrt.f64 (-.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (fma.f64 1/2 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))))) |
| 1.0ms | x | @ | -inf | (-.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (fma.f64 1/2 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))) |
| 1× | batch-egg-rewrite |
| 258× | add-sqr-sqrt_binary64 |
| 251× | pow1_binary64 |
| 245× | *-un-lft-identity_binary64 |
| 245× | add-log-exp_binary64 |
| 245× | expm1-log1p-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 204 |
| 1 | 547 | 204 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (fma.f64 1/2 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))) |
(fma.f64 1/2 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))) |
(fma.f64 1/2 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) |
(cbrt.f64 (-.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (fma.f64 1/2 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (neg.f64 (fma.f64 1/2 (*.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (fma.f64 1/2 (*.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 1/2 (*.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))))) (sqrt.f64 (fma.f64 1/2 (*.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))) (fma.f64 1/2 (*.f64 (pow.f64 n -2) (pow.f64 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| 1× | egg-herbie |
| 502× | fma-def_binary64 |
| 229× | associate-/r*_binary64 |
| 222× | associate-*r*_binary64 |
| 204× | times-frac_binary64 |
| 151× | associate-*l*_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 442 | 8238 |
| 1 | 1566 | 7792 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (+.f64 (/.f64 (log.f64 x) n) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))) |
(+.f64 (/.f64 x n) (*.f64 -1 (+.f64 (/.f64 (log.f64 x) n) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))))) |
(+.f64 (/.f64 x n) (+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)) (*.f64 -1 (+.f64 (/.f64 (log.f64 x) n) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))))) |
(+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2)))) (pow.f64 x 3)) (+.f64 (/.f64 x n) (+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)) (*.f64 -1 (+.f64 (/.f64 (log.f64 x) n) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))))))) |
(/.f64 (+.f64 (/.f64 1 n) (+.f64 (*.f64 1/6 (+.f64 (*.f64 2 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 n 3))) (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 n 3)))) (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 2))))) x) |
(-.f64 (+.f64 (*.f64 1/6 (/.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (log.f64 (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 2)))) n)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 n 3))) (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 3))))) (pow.f64 x 2))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 2))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) (*.f64 (pow.f64 n 2) x))) (+.f64 (*.f64 1/6 (/.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 n 3))) (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 n 3))) x)) (/.f64 1 (*.f64 n x)))))) (/.f64 1/2 (*.f64 n (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 2))) (pow.f64 x 2))) (+.f64 (/.f64 1 (*.f64 n x)) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (+.f64 (*.f64 1/6 (/.f64 (+.f64 (/.f64 1 (pow.f64 n 3)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 n 3))) (+.f64 (*.f64 2 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 3))) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -2/3 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 2))) (/.f64 1 (pow.f64 n 2))) (log.f64 (/.f64 1 x))) n))))) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -2/3 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 2))) (/.f64 1 (pow.f64 n 2))) (pow.f64 x 3))) (+.f64 (*.f64 1/6 (/.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (log.f64 (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 2)))) n)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 n 3))) (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 3))))) (pow.f64 x 2))) (+.f64 (*.f64 1/6 (/.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 n 3))) (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 n 3))) x)) (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) (*.f64 (pow.f64 n 2) x)))))))))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))) |
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(*.f64 (cbrt.f64 -1) (pow.f64 (+.f64 (/.f64 (log.f64 x) n) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))) 1/3)) |
(+.f64 (*.f64 1/3 (*.f64 (/.f64 x n) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (/.f64 (log.f64 x) n) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))) 2)) 1/9)))) (*.f64 (cbrt.f64 -1) (pow.f64 (+.f64 (/.f64 (log.f64 x) n) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))) 1/3))) |
(+.f64 (*.f64 1/3 (*.f64 (/.f64 x n) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (/.f64 (log.f64 x) n) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))) 2)) 1/9)))) (+.f64 (*.f64 (cbrt.f64 -1) (pow.f64 (+.f64 (/.f64 (log.f64 x) n) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))) 1/3)) (*.f64 1/3 (*.f64 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (+.f64 (*.f64 1/3 (*.f64 (/.f64 1 (pow.f64 n 2)) (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (/.f64 1 (+.f64 (/.f64 (log.f64 x) n) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))) 1/9)))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (/.f64 (log.f64 x) n) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))) 2)) 1/3))))) |
(+.f64 (*.f64 1/3 (*.f64 (/.f64 x n) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (/.f64 (log.f64 x) n) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))) 2)) 1/9)))) (+.f64 (*.f64 (cbrt.f64 -1) (pow.f64 (+.f64 (/.f64 (log.f64 x) n) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))) 1/3)) (+.f64 (*.f64 1/3 (*.f64 (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (+.f64 (*.f64 2/3 (*.f64 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (+.f64 (*.f64 1/3 (*.f64 (/.f64 1 (pow.f64 n 2)) (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (/.f64 1 (+.f64 (/.f64 (log.f64 x) n) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))) 1/9)))) (*.f64 1/2 (/.f64 1 n)))) n) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (/.f64 (log.f64 x) n) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))) 5)) 1/9)))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/27 (*.f64 (/.f64 1 (*.f64 (pow.f64 n 3) (pow.f64 (cbrt.f64 -1) 2))) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (/.f64 (log.f64 x) n) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))) 2)) 1/3)))))) (pow.f64 x 3)) (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (/.f64 (log.f64 x) n) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))) 2)) 1/3))) (*.f64 1/3 (*.f64 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (+.f64 (*.f64 1/3 (*.f64 (/.f64 1 (pow.f64 n 2)) (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (/.f64 1 (+.f64 (/.f64 (log.f64 x) n) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))) 1/9)))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (/.f64 (log.f64 x) n) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))) 2)) 1/3)))))) |
(*.f64 (pow.f64 (-.f64 (*.f64 1/6 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (*.f64 1/6 (pow.f64 (log.f64 x) 3))) 1/3) (/.f64 1 n)) |
(+.f64 (*.f64 (pow.f64 (-.f64 (*.f64 1/6 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (*.f64 1/6 (pow.f64 (log.f64 x) 3))) 1/3) (/.f64 1 n)) (*.f64 1/3 (*.f64 (-.f64 (*.f64 1/2 (pow.f64 (log.f64 (+.f64 1 x)) 2)) (*.f64 1/2 (pow.f64 (log.f64 x) 2))) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (*.f64 1/6 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (*.f64 1/6 (pow.f64 (log.f64 x) 3))) 2)) 1/9)))) |
(+.f64 (*.f64 (pow.f64 (-.f64 (*.f64 1/6 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (*.f64 1/6 (pow.f64 (log.f64 x) 3))) 1/3) (/.f64 1 n)) (+.f64 (*.f64 1/3 (*.f64 (-.f64 (*.f64 1/2 (pow.f64 (log.f64 (+.f64 1 x)) 2)) (*.f64 1/2 (pow.f64 (log.f64 x) 2))) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (*.f64 1/6 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (*.f64 1/6 (pow.f64 (log.f64 x) 3))) 2)) 1/9))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (*.f64 1/6 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (*.f64 1/6 (pow.f64 (log.f64 x) 3))) 2)) 1/3) (*.f64 n (-.f64 (log.f64 (+.f64 1 x)) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (-.f64 (*.f64 1/6 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (*.f64 1/6 (pow.f64 (log.f64 x) 3)))) 1/9) (pow.f64 (-.f64 (*.f64 1/2 (pow.f64 (log.f64 (+.f64 1 x)) 2)) (*.f64 1/2 (pow.f64 (log.f64 x) 2))) 2))) (log.f64 x)))))))) |
(+.f64 (*.f64 (pow.f64 (-.f64 (*.f64 1/6 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (*.f64 1/6 (pow.f64 (log.f64 x) 3))) 1/3) (/.f64 1 n)) (+.f64 (*.f64 1/3 (*.f64 (-.f64 (*.f64 1/2 (pow.f64 (log.f64 (+.f64 1 x)) 2)) (*.f64 1/2 (pow.f64 (log.f64 x) 2))) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (*.f64 1/6 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (*.f64 1/6 (pow.f64 (log.f64 x) 3))) 2)) 1/9))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (*.f64 1/6 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (*.f64 1/6 (pow.f64 (log.f64 x) 3))) 2)) 1/3) (*.f64 n (-.f64 (log.f64 (+.f64 1 x)) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (-.f64 (*.f64 1/6 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (*.f64 1/6 (pow.f64 (log.f64 x) 3)))) 1/9) (pow.f64 (-.f64 (*.f64 1/2 (pow.f64 (log.f64 (+.f64 1 x)) 2)) (*.f64 1/2 (pow.f64 (log.f64 x) 2))) 2))) (log.f64 x)))))) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (*.f64 1/6 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (*.f64 1/6 (pow.f64 (log.f64 x) 3))) 2)) 1/3) (*.f64 (pow.f64 n 2) (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (-.f64 (*.f64 1/2 (pow.f64 (log.f64 (+.f64 1 x)) 2)) (*.f64 1/2 (pow.f64 (log.f64 x) 2))) 3) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (*.f64 1/6 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (*.f64 1/6 (pow.f64 (log.f64 x) 3))) 2)) 1/3))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (*.f64 1/6 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (*.f64 1/6 (pow.f64 (log.f64 x) 3))) 5)) 1/9) (*.f64 (-.f64 (*.f64 1/2 (pow.f64 (log.f64 (+.f64 1 x)) 2)) (*.f64 1/2 (pow.f64 (log.f64 x) 2))) (-.f64 (log.f64 (+.f64 1 x)) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (-.f64 (*.f64 1/6 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (*.f64 1/6 (pow.f64 (log.f64 x) 3)))) 1/9) (pow.f64 (-.f64 (*.f64 1/2 (pow.f64 (log.f64 (+.f64 1 x)) 2)) (*.f64 1/2 (pow.f64 (log.f64 x) 2))) 2))) (log.f64 x))))))))))))) |
| Outputs |
|---|
(*.f64 -1 (+.f64 (/.f64 (log.f64 x) n) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))) |
(neg.f64 (+.f64 (/.f64 (log.f64 x) n) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))) |
(neg.f64 (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (/.f64 (log.f64 x) n)) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))) |
(+.f64 (/.f64 x n) (*.f64 -1 (+.f64 (/.f64 (log.f64 x) n) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))))) |
(+.f64 (neg.f64 (+.f64 (/.f64 (log.f64 x) n) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))) (/.f64 x n)) |
(-.f64 (/.f64 x n) (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (/.f64 (log.f64 x) n)) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))) |
(+.f64 (/.f64 x n) (+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)) (*.f64 -1 (+.f64 (/.f64 (log.f64 x) n) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))))) |
(+.f64 (/.f64 x n) (fma.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x) (neg.f64 (+.f64 (/.f64 (log.f64 x) n) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))))) |
(-.f64 (fma.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (*.f64 x x) (/.f64 x n)) (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (/.f64 (log.f64 x) n)) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))) |
(+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2)))) (pow.f64 x 3)) (+.f64 (/.f64 x n) (+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)) (*.f64 -1 (+.f64 (/.f64 (log.f64 x) n) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))))))) |
(fma.f64 (+.f64 (/.f64 1/3 n) (-.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 1/2 (*.f64 n n)))) (pow.f64 x 3) (+.f64 (/.f64 x n) (fma.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x) (neg.f64 (+.f64 (/.f64 (log.f64 x) n) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))))))) |
(fma.f64 (+.f64 (/.f64 1/6 (pow.f64 n 3)) (-.f64 (/.f64 1/3 n) (/.f64 1/2 (*.f64 n n)))) (pow.f64 x 3) (-.f64 (fma.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (*.f64 x x) (/.f64 x n)) (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (/.f64 (log.f64 x) n)) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))) |
(/.f64 (+.f64 (/.f64 1 n) (+.f64 (*.f64 1/6 (+.f64 (*.f64 2 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 n 3))) (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 n 3)))) (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 2))))) x) |
(/.f64 (+.f64 (/.f64 1 n) (fma.f64 1/6 (*.f64 3 (/.f64 (pow.f64 (neg.f64 (log.f64 x)) 2) (pow.f64 n 3))) (neg.f64 (/.f64 (neg.f64 (log.f64 x)) (*.f64 n n))))) x) |
(/.f64 (+.f64 (+.f64 (/.f64 1 n) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 3)))) (/.f64 (log.f64 x) (*.f64 n n))) x) |
(-.f64 (+.f64 (*.f64 1/6 (/.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (log.f64 (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 2)))) n)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 n 3))) (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 3))))) (pow.f64 x 2))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 2))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) (*.f64 (pow.f64 n 2) x))) (+.f64 (*.f64 1/6 (/.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 n 3))) (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 n 3))) x)) (/.f64 1 (*.f64 n x)))))) (/.f64 1/2 (*.f64 n (pow.f64 x 2)))) |
(-.f64 (fma.f64 1/6 (/.f64 (fma.f64 -1 (/.f64 (neg.f64 (log.f64 x)) (/.f64 n (+.f64 (/.f64 1 (*.f64 n n)) (/.f64 (neg.f64 (log.f64 x)) (*.f64 n n))))) (fma.f64 -1/2 (/.f64 (pow.f64 (neg.f64 (log.f64 x)) 2) (pow.f64 n 3)) (*.f64 -2 (/.f64 (neg.f64 (log.f64 x)) (pow.f64 n 3))))) (*.f64 x x)) (fma.f64 1/2 (/.f64 (+.f64 (/.f64 1 (*.f64 n n)) (/.f64 (neg.f64 (log.f64 x)) (*.f64 n n))) (*.f64 x x)) (fma.f64 -1 (/.f64 (neg.f64 (log.f64 x)) (*.f64 x (*.f64 n n))) (fma.f64 1/6 (/.f64 (*.f64 3 (/.f64 (pow.f64 (neg.f64 (log.f64 x)) 2) (pow.f64 n 3))) x) (/.f64 1 (*.f64 x n)))))) (/.f64 1/2 (*.f64 n (*.f64 x x)))) |
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(fma.f64 (cbrt.f64 (*.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)))) (/.f64 1 n) (*.f64 (*.f64 1/3 (*.f64 1/2 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (*.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (*.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) 2)) 1/18)))) |
(fma.f64 (*.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (*.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (*.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) 2)) 1/18)) (/.f64 (cbrt.f64 (*.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)))) n)) |
(+.f64 (*.f64 (pow.f64 (-.f64 (*.f64 1/6 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (*.f64 1/6 (pow.f64 (log.f64 x) 3))) 1/3) (/.f64 1 n)) (+.f64 (*.f64 1/3 (*.f64 (-.f64 (*.f64 1/2 (pow.f64 (log.f64 (+.f64 1 x)) 2)) (*.f64 1/2 (pow.f64 (log.f64 x) 2))) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (*.f64 1/6 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (*.f64 1/6 (pow.f64 (log.f64 x) 3))) 2)) 1/9))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (*.f64 1/6 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (*.f64 1/6 (pow.f64 (log.f64 x) 3))) 2)) 1/3) (*.f64 n (-.f64 (log.f64 (+.f64 1 x)) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (-.f64 (*.f64 1/6 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (*.f64 1/6 (pow.f64 (log.f64 x) 3)))) 1/9) (pow.f64 (-.f64 (*.f64 1/2 (pow.f64 (log.f64 (+.f64 1 x)) 2)) (*.f64 1/2 (pow.f64 (log.f64 x) 2))) 2))) (log.f64 x)))))))) |
(fma.f64 (cbrt.f64 (*.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)))) (/.f64 1 n) (*.f64 1/3 (+.f64 (*.f64 (*.f64 1/2 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (*.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (*.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) 2)) 1/18))) (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (*.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) 2))) n) (-.f64 (log1p.f64 x) (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)))) 1/18) (pow.f64 (/.f64 1 (*.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)))) 1/18)) (pow.f64 (*.f64 1/2 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) 2)) (log.f64 x))))))) |
(fma.f64 1/3 (fma.f64 (*.f64 1/2 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (*.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (*.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) 2)) 1/18)) (*.f64 n (*.f64 (-.f64 (log1p.f64 x) (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) 1/18) (pow.f64 (/.f64 6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) 1/18)) (pow.f64 (*.f64 1/2 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) 2)) (log.f64 x))) (cbrt.f64 (/.f64 1 (pow.f64 (*.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) 2)))))) (/.f64 (cbrt.f64 (*.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)))) n)) |
(+.f64 (*.f64 (pow.f64 (-.f64 (*.f64 1/6 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (*.f64 1/6 (pow.f64 (log.f64 x) 3))) 1/3) (/.f64 1 n)) (+.f64 (*.f64 1/3 (*.f64 (-.f64 (*.f64 1/2 (pow.f64 (log.f64 (+.f64 1 x)) 2)) (*.f64 1/2 (pow.f64 (log.f64 x) 2))) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (*.f64 1/6 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (*.f64 1/6 (pow.f64 (log.f64 x) 3))) 2)) 1/9))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (*.f64 1/6 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (*.f64 1/6 (pow.f64 (log.f64 x) 3))) 2)) 1/3) (*.f64 n (-.f64 (log.f64 (+.f64 1 x)) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (-.f64 (*.f64 1/6 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (*.f64 1/6 (pow.f64 (log.f64 x) 3)))) 1/9) (pow.f64 (-.f64 (*.f64 1/2 (pow.f64 (log.f64 (+.f64 1 x)) 2)) (*.f64 1/2 (pow.f64 (log.f64 x) 2))) 2))) (log.f64 x)))))) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (*.f64 1/6 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (*.f64 1/6 (pow.f64 (log.f64 x) 3))) 2)) 1/3) (*.f64 (pow.f64 n 2) (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (-.f64 (*.f64 1/2 (pow.f64 (log.f64 (+.f64 1 x)) 2)) (*.f64 1/2 (pow.f64 (log.f64 x) 2))) 3) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (*.f64 1/6 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (*.f64 1/6 (pow.f64 (log.f64 x) 3))) 2)) 1/3))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (*.f64 1/6 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (*.f64 1/6 (pow.f64 (log.f64 x) 3))) 5)) 1/9) (*.f64 (-.f64 (*.f64 1/2 (pow.f64 (log.f64 (+.f64 1 x)) 2)) (*.f64 1/2 (pow.f64 (log.f64 x) 2))) (-.f64 (log.f64 (+.f64 1 x)) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (-.f64 (*.f64 1/6 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (*.f64 1/6 (pow.f64 (log.f64 x) 3)))) 1/9) (pow.f64 (-.f64 (*.f64 1/2 (pow.f64 (log.f64 (+.f64 1 x)) 2)) (*.f64 1/2 (pow.f64 (log.f64 x) 2))) 2))) (log.f64 x))))))))))))) |
(fma.f64 (cbrt.f64 (*.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)))) (/.f64 1 n) (fma.f64 1/3 (*.f64 (*.f64 1/2 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (*.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (*.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) 2)) 1/18))) (fma.f64 1/3 (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (*.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) 2))) n) (-.f64 (log1p.f64 x) (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)))) 1/18) (pow.f64 (/.f64 1 (*.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)))) 1/18)) (pow.f64 (*.f64 1/2 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) 2)) (log.f64 x)))) (*.f64 -1/3 (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (*.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) 2))) (*.f64 n n)) (fma.f64 1/27 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (*.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) 2))) (pow.f64 (*.f64 1/2 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) 3)) (*.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (*.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (*.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) 5)) 1/18))) (*.f64 (*.f64 1/2 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (-.f64 (log1p.f64 x) (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)))) 1/18) (pow.f64 (/.f64 1 (*.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)))) 1/18)) (pow.f64 (*.f64 1/2 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) 2)) (log.f64 x))))))))))) |
(+.f64 (fma.f64 (*.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (*.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (*.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) 2)) 1/18)) (/.f64 (cbrt.f64 (*.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)))) n)) (fma.f64 -1/3 (*.f64 (*.f64 n n) (*.f64 (fma.f64 2/3 (*.f64 (*.f64 1/2 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (*.f64 (-.f64 (log1p.f64 x) (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) 1/18) (pow.f64 (/.f64 6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) 1/18)) (pow.f64 (*.f64 1/2 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) 2)) (log.f64 x))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (*.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (*.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) 5)) 1/18)))) (*.f64 1/27 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (*.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) 2))) (pow.f64 (*.f64 1/2 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) 3)))) (cbrt.f64 (/.f64 1 (pow.f64 (*.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) 2))))) (*.f64 1/3 (*.f64 n (*.f64 (-.f64 (log1p.f64 x) (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) 1/18) (pow.f64 (/.f64 6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) 1/18)) (pow.f64 (*.f64 1/2 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) 2)) (log.f64 x))) (cbrt.f64 (/.f64 1 (pow.f64 (*.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) 2)))))))) |
11 alts after pruning (10 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 340 | 2 | 342 |
| Fresh | 1 | 8 | 9 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 342 | 11 | 353 |
| Status | Error | Program |
|---|---|---|
| 45.1b | (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 3)) (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (-.f64 (*.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (neg.f64 (pow.f64 x (/.f64 1 n)))) (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (neg.f64 (pow.f64 x (/.f64 1 n))))))) | |
| 49.2b | (/.f64 (-.f64 (pow.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) 3) (pow.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))) 3)) (+.f64 (pow.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) 2) (+.f64 (pow.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))) 2) (*.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (fma.f64 1/2 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))))))) | |
| 48.6b | (-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (pow.f64 (sqrt.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))) 2)) | |
| 37.5b | (cbrt.f64 (pow.f64 (-.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (fma.f64 1/2 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))) 3)) | |
| 38.3b | (/.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 3))) (+.f64 (/.f64 (log.f64 x) (*.f64 n n)) (/.f64 1 n))) x) | |
| 36.0b | (+.f64 (fma.f64 (/.f64 (+.f64 (/.f64 1/24 (pow.f64 n 4)) (+.f64 (/.f64 11/24 (*.f64 n n)) (+.f64 (/.f64 -1/4 n) (/.f64 -1/4 (pow.f64 n 3))))) (pow.f64 x 4)) (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))) (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x x)) (+.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (/.f64 (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 (/.f64 -1/2 n) n))) x)))) | |
| 34.3b | (pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 3) | |
| 34.2b | (*.f64 (sqrt.f64 (-.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (fma.f64 1/2 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))))) (sqrt.f64 (-.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (fma.f64 1/2 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))))) | |
| 46.0b | (*.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (fma.f64 1/2 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))))) 2) (cbrt.f64 (+.f64 (-.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (fma.f64 1/2 (*.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 1/2 (*.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))))) (sqrt.f64 (fma.f64 1/2 (*.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))) (fma.f64 1/2 (*.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))))))) | |
| ▶ | 24.1b | (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (fma.f64 1/2 (*.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))))) 3) 2) (cbrt.f64 (-.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (fma.f64 1/2 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))))) |
| ✓ | 23.3b | (-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))) |
Compiled 48715 to 30148 computations (38.1% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 7.5b | (fma.f64 1/2 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))) | |
| ✓ | 7.5b | (fma.f64 1/2 (*.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))) |
| 9.5b | (-.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (fma.f64 1/2 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))) | |
| ✓ | 9.5b | (-.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (fma.f64 1/2 (*.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (-.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (fma.f64 1/2 (*.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))) |
| 1.0ms | x | @ | inf | (-.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (fma.f64 1/2 (*.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))) |
| 1.0ms | x | @ | 0 | (-.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (fma.f64 1/2 (*.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))) |
| 0.0ms | n | @ | inf | (-.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (fma.f64 1/2 (*.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))) |
| 0.0ms | n | @ | -inf | (-.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (fma.f64 1/2 (*.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))) |
| 1× | batch-egg-rewrite |
| 250× | add-sqr-sqrt_binary64 |
| 244× | pow1_binary64 |
| 238× | *-un-lft-identity_binary64 |
| 238× | add-log-exp_binary64 |
| 238× | expm1-log1p-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 101 |
| 1 | 529 | 101 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (fma.f64 1/2 (*.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))) |
(fma.f64 1/2 (*.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (neg.f64 (fma.f64 1/2 (*.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (fma.f64 1/2 (*.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 1/2 (*.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))))) (sqrt.f64 (fma.f64 1/2 (*.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))) (fma.f64 1/2 (*.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (fma.f64 1/2 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (neg.f64 (*.f64 (fma.f64 1/2 (*.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))) 1))) (fma.f64 (neg.f64 (fma.f64 1/2 (*.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))) 1 (*.f64 (fma.f64 1/2 (*.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n)))) 2) (cbrt.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n)))) (neg.f64 (*.f64 (fma.f64 1/2 (*.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))) 1))) (fma.f64 (neg.f64 (fma.f64 1/2 (*.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))) 1 (*.f64 (fma.f64 1/2 (*.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n)))) (sqrt.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n)))) (neg.f64 (*.f64 (fma.f64 1/2 (*.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))) 1))) (fma.f64 (neg.f64 (fma.f64 1/2 (*.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))) 1 (*.f64 (fma.f64 1/2 (*.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (fma.f64 1/2 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (neg.f64 (*.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))) 2) (*.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n)))) 2) (cbrt.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n)))) (neg.f64 (*.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))) 2) (*.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n)))) 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| 1× | egg-herbie |
| 407× | cancel-sign-sub-inv_binary64 |
| 299× | fma-def_binary64 |
| 266× | fma-neg_binary64 |
| 206× | +-commutative_binary64 |
| 202× | associate-/r*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 292 | 4031 |
| 1 | 1026 | 3812 |
| 2 | 4080 | 3661 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (+.f64 (/.f64 (log.f64 x) n) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))) |
(+.f64 (/.f64 x n) (*.f64 -1 (+.f64 (/.f64 (log.f64 x) n) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))))) |
(+.f64 (/.f64 x n) (+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)) (*.f64 -1 (+.f64 (/.f64 (log.f64 x) n) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))))) |
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(+.f64 (/.f64 (log.f64 x) n) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))) |
(+.f64 (/.f64 (log.f64 x) n) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))) |
(/.f64 (log.f64 x) n) |
(+.f64 (/.f64 (log.f64 x) n) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))) |
(+.f64 (/.f64 (log.f64 x) n) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))) |
(+.f64 (/.f64 (log.f64 x) n) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))) |
(/.f64 (log.f64 x) n) |
(+.f64 (/.f64 (log.f64 x) n) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))) |
(+.f64 (/.f64 (log.f64 x) n) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))) |
(+.f64 (/.f64 (log.f64 x) n) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))) |
(+.f64 (/.f64 (log.f64 x) n) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))) |
(+.f64 (/.f64 (log.f64 x) n) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))) |
(+.f64 (/.f64 (log.f64 x) n) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))) |
(+.f64 (/.f64 (log.f64 x) n) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))) |
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 3) (pow.f64 n 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 n 2))) (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))) |
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 3) (pow.f64 n 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 n 2))) (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))) |
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 3) (pow.f64 n 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 n 2))) (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))) |
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 3) (pow.f64 n 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 n 2))) (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))) |
(+.f64 (/.f64 (log.f64 -1) n) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) (pow.f64 n 2))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3) (pow.f64 n 3))) (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) n))))) |
(+.f64 (/.f64 (log.f64 -1) n) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) (pow.f64 n 2))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3) (pow.f64 n 3))) (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) n))))) |
(+.f64 (/.f64 (log.f64 -1) n) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) (pow.f64 n 2))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3) (pow.f64 n 3))) (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) n))))) |
(+.f64 (/.f64 (log.f64 -1) n) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) (pow.f64 n 2))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3) (pow.f64 n 3))) (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) n))))) |
| Outputs |
|---|
(*.f64 -1 (+.f64 (/.f64 (log.f64 x) n) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))) |
(neg.f64 (+.f64 (/.f64 (log.f64 x) n) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))) |
(neg.f64 (fma.f64 -1/6 (/.f64 (pow.f64 (neg.f64 (log.f64 x)) 3) (pow.f64 n 3)) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (/.f64 (log.f64 x) n)))) |
(-.f64 (/.f64 (neg.f64 (log.f64 x)) n) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (*.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3)))) |
(+.f64 (/.f64 x n) (*.f64 -1 (+.f64 (/.f64 (log.f64 x) n) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))))) |
(+.f64 (neg.f64 (+.f64 (/.f64 (log.f64 x) n) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))) (/.f64 x n)) |
(-.f64 (/.f64 x n) (fma.f64 -1/6 (/.f64 (pow.f64 (neg.f64 (log.f64 x)) 3) (pow.f64 n 3)) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (/.f64 (log.f64 x) n)))) |
(-.f64 (-.f64 (/.f64 x n) (/.f64 (log.f64 x) n)) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (*.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3)))) |
(+.f64 (/.f64 x n) (+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)) (*.f64 -1 (+.f64 (/.f64 (log.f64 x) n) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))))) |
(+.f64 (/.f64 x n) (fma.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x) (neg.f64 (+.f64 (/.f64 (log.f64 x) n) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))))) |
(+.f64 (/.f64 x n) (-.f64 (*.f64 x (*.f64 x (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)))) (fma.f64 -1/6 (/.f64 (pow.f64 (neg.f64 (log.f64 x)) 3) (pow.f64 n 3)) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (/.f64 (log.f64 x) n))))) |
(+.f64 (*.f64 x (*.f64 x (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)))) (-.f64 (-.f64 (/.f64 x n) (/.f64 (log.f64 x) n)) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (*.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3))))) |
(+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2)))) (pow.f64 x 3)) (+.f64 (/.f64 x n) (+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)) (*.f64 -1 (+.f64 (/.f64 (log.f64 x) n) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))))))) |
(fma.f64 (+.f64 (/.f64 1/3 n) (-.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 1/2 (*.f64 n n)))) (pow.f64 x 3) (+.f64 (/.f64 x n) (fma.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x) (neg.f64 (+.f64 (/.f64 (log.f64 x) n) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))))))) |
(+.f64 (-.f64 (*.f64 x (*.f64 x (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)))) (fma.f64 -1/6 (/.f64 (pow.f64 (neg.f64 (log.f64 x)) 3) (pow.f64 n 3)) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (/.f64 (log.f64 x) n)))) (fma.f64 (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n)))) (pow.f64 x 3) (/.f64 x n))) |
(-.f64 (+.f64 (fma.f64 (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n)))) (pow.f64 x 3) (/.f64 x n)) (*.f64 x (*.f64 x (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n))))) (+.f64 (/.f64 (log.f64 x) n) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (*.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3))))) |
(/.f64 (+.f64 (/.f64 1 n) (+.f64 (*.f64 1/6 (+.f64 (*.f64 2 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 n 3))) (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 n 3)))) (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 2))))) x) |
(/.f64 (+.f64 (/.f64 1 n) (fma.f64 1/6 (*.f64 3 (/.f64 (pow.f64 (neg.f64 (log.f64 x)) 2) (pow.f64 n 3))) (neg.f64 (/.f64 (neg.f64 (log.f64 x)) (*.f64 n n))))) x) |
(/.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 3))) (+.f64 (/.f64 (log.f64 x) (*.f64 n n)) (/.f64 1 n))) x) |
(/.f64 (+.f64 (/.f64 1 n) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 3)) (/.f64 (log.f64 x) (*.f64 n n)))) x) |
(-.f64 (+.f64 (*.f64 1/6 (/.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (log.f64 (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 2)))) n)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 n 3))) (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 3))))) (pow.f64 x 2))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 2))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) (*.f64 (pow.f64 n 2) x))) (+.f64 (*.f64 1/6 (/.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 n 3))) (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 n 3))) x)) (/.f64 1 (*.f64 n x)))))) (/.f64 1/2 (*.f64 n (pow.f64 x 2)))) |
(-.f64 (fma.f64 1/6 (/.f64 (fma.f64 -1 (/.f64 (neg.f64 (log.f64 x)) (/.f64 n (+.f64 (/.f64 1 (*.f64 n n)) (/.f64 (neg.f64 (log.f64 x)) (*.f64 n n))))) (fma.f64 -1/2 (/.f64 (pow.f64 (neg.f64 (log.f64 x)) 2) (pow.f64 n 3)) (*.f64 -2 (/.f64 (neg.f64 (log.f64 x)) (pow.f64 n 3))))) (*.f64 x x)) (fma.f64 1/2 (/.f64 (+.f64 (/.f64 1 (*.f64 n n)) (/.f64 (neg.f64 (log.f64 x)) (*.f64 n n))) (*.f64 x x)) (fma.f64 -1 (/.f64 (neg.f64 (log.f64 x)) (*.f64 x (*.f64 n n))) (fma.f64 1/6 (/.f64 (*.f64 3 (/.f64 (pow.f64 (neg.f64 (log.f64 x)) 2) (pow.f64 n 3))) x) (/.f64 1 (*.f64 x n)))))) (/.f64 1/2 (*.f64 n (*.f64 x x)))) |
(fma.f64 1/6 (/.f64 (+.f64 (/.f64 (log.f64 x) (/.f64 n (+.f64 (/.f64 1 (*.f64 n n)) (neg.f64 (/.f64 (log.f64 x) (*.f64 n n)))))) (fma.f64 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 3)) -1/2 (/.f64 (*.f64 2 (log.f64 x)) (pow.f64 n 3)))) (*.f64 x x)) (+.f64 (+.f64 (+.f64 (/.f64 (log.f64 x) (*.f64 x (*.f64 n n))) (/.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 3))) x)) (fma.f64 1/2 (/.f64 (+.f64 (/.f64 1 (*.f64 n n)) (neg.f64 (/.f64 (log.f64 x) (*.f64 n n)))) (*.f64 x x)) (/.f64 1 (*.f64 x n)))) (/.f64 -1/2 (*.f64 x (*.f64 x n))))) |
(+.f64 (fma.f64 1/6 (/.f64 (+.f64 (/.f64 (log.f64 x) (/.f64 n (-.f64 (/.f64 1 (*.f64 n n)) (/.f64 (log.f64 x) (*.f64 n n))))) (fma.f64 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 3)) -1/2 (/.f64 (*.f64 2 (log.f64 x)) (pow.f64 n 3)))) (*.f64 x x)) (+.f64 (+.f64 (/.f64 (log.f64 x) (*.f64 x (*.f64 n n))) (/.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 3))) x)) (fma.f64 1/2 (/.f64 (-.f64 (/.f64 1 (*.f64 n n)) (/.f64 (log.f64 x) (*.f64 n n))) (*.f64 x x)) (/.f64 1 (*.f64 x n))))) (/.f64 -1/2 (*.f64 x (*.f64 x n)))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 2))) (pow.f64 x 2))) (+.f64 (/.f64 1 (*.f64 n x)) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (+.f64 (*.f64 1/6 (/.f64 (+.f64 (/.f64 1 (pow.f64 n 3)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 n 3))) (+.f64 (*.f64 2 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 3))) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -2/3 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 2))) (/.f64 1 (pow.f64 n 2))) (log.f64 (/.f64 1 x))) n))))) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -2/3 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 2))) (/.f64 1 (pow.f64 n 2))) (pow.f64 x 3))) (+.f64 (*.f64 1/6 (/.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (log.f64 (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 2)))) n)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 n 3))) (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 3))))) (pow.f64 x 2))) (+.f64 (*.f64 1/6 (/.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 n 3))) (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 n 3))) x)) (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) (*.f64 (pow.f64 n 2) x)))))))))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))) |
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(+.f64 (/.f64 (log.f64 x) n) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (*.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3)))) |
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 3) (pow.f64 n 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 n 2))) (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))) |
(+.f64 (/.f64 (log.f64 x) n) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))) |
(fma.f64 -1/6 (/.f64 (pow.f64 (neg.f64 (log.f64 x)) 3) (pow.f64 n 3)) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (/.f64 (log.f64 x) n))) |
(+.f64 (/.f64 (log.f64 x) n) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (*.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3)))) |
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 3) (pow.f64 n 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 n 2))) (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))) |
(+.f64 (/.f64 (log.f64 x) n) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))) |
(fma.f64 -1/6 (/.f64 (pow.f64 (neg.f64 (log.f64 x)) 3) (pow.f64 n 3)) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (/.f64 (log.f64 x) n))) |
(+.f64 (/.f64 (log.f64 x) n) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (*.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3)))) |
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 3) (pow.f64 n 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 n 2))) (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))) |
(+.f64 (/.f64 (log.f64 x) n) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))) |
(fma.f64 -1/6 (/.f64 (pow.f64 (neg.f64 (log.f64 x)) 3) (pow.f64 n 3)) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (/.f64 (log.f64 x) n))) |
(+.f64 (/.f64 (log.f64 x) n) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (*.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3)))) |
(+.f64 (/.f64 (log.f64 -1) n) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) (pow.f64 n 2))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3) (pow.f64 n 3))) (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) n))))) |
(+.f64 (/.f64 (log.f64 -1) n) (fma.f64 1/2 (/.f64 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2) (*.f64 n n)) (fma.f64 1/6 (/.f64 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 3) (pow.f64 n 3)) (/.f64 (neg.f64 (log.f64 (/.f64 -1 x))) n)))) |
(+.f64 (/.f64 (log.f64 -1) n) (-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2) (*.f64 n n)) (*.f64 1/6 (/.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3) (pow.f64 n 3)))) (/.f64 (log.f64 (/.f64 -1 x)) n))) |
(+.f64 (/.f64 (log.f64 -1) n) (-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2) (*.f64 n n)) (*.f64 1/6 (pow.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n) 3))) (/.f64 (log.f64 (/.f64 -1 x)) n))) |
(+.f64 (/.f64 (log.f64 -1) n) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) (pow.f64 n 2))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3) (pow.f64 n 3))) (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) n))))) |
(+.f64 (/.f64 (log.f64 -1) n) (fma.f64 1/2 (/.f64 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2) (*.f64 n n)) (fma.f64 1/6 (/.f64 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 3) (pow.f64 n 3)) (/.f64 (neg.f64 (log.f64 (/.f64 -1 x))) n)))) |
(+.f64 (/.f64 (log.f64 -1) n) (-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2) (*.f64 n n)) (*.f64 1/6 (/.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3) (pow.f64 n 3)))) (/.f64 (log.f64 (/.f64 -1 x)) n))) |
(+.f64 (/.f64 (log.f64 -1) n) (-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2) (*.f64 n n)) (*.f64 1/6 (pow.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n) 3))) (/.f64 (log.f64 (/.f64 -1 x)) n))) |
(+.f64 (/.f64 (log.f64 -1) n) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) (pow.f64 n 2))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3) (pow.f64 n 3))) (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) n))))) |
(+.f64 (/.f64 (log.f64 -1) n) (fma.f64 1/2 (/.f64 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2) (*.f64 n n)) (fma.f64 1/6 (/.f64 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 3) (pow.f64 n 3)) (/.f64 (neg.f64 (log.f64 (/.f64 -1 x))) n)))) |
(+.f64 (/.f64 (log.f64 -1) n) (-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2) (*.f64 n n)) (*.f64 1/6 (/.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3) (pow.f64 n 3)))) (/.f64 (log.f64 (/.f64 -1 x)) n))) |
(+.f64 (/.f64 (log.f64 -1) n) (-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2) (*.f64 n n)) (*.f64 1/6 (pow.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n) 3))) (/.f64 (log.f64 (/.f64 -1 x)) n))) |
(+.f64 (/.f64 (log.f64 -1) n) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) (pow.f64 n 2))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3) (pow.f64 n 3))) (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) n))))) |
(+.f64 (/.f64 (log.f64 -1) n) (fma.f64 1/2 (/.f64 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2) (*.f64 n n)) (fma.f64 1/6 (/.f64 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 3) (pow.f64 n 3)) (/.f64 (neg.f64 (log.f64 (/.f64 -1 x))) n)))) |
(+.f64 (/.f64 (log.f64 -1) n) (-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2) (*.f64 n n)) (*.f64 1/6 (/.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3) (pow.f64 n 3)))) (/.f64 (log.f64 (/.f64 -1 x)) n))) |
(+.f64 (/.f64 (log.f64 -1) n) (-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2) (*.f64 n n)) (*.f64 1/6 (pow.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n) 3))) (/.f64 (log.f64 (/.f64 -1 x)) n))) |
11 alts after pruning (9 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 189 | 0 | 189 |
| Fresh | 0 | 9 | 9 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 189 | 11 | 200 |
| Status | Error | Program |
|---|---|---|
| 45.1b | (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 3)) (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (-.f64 (*.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (neg.f64 (pow.f64 x (/.f64 1 n)))) (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (neg.f64 (pow.f64 x (/.f64 1 n))))))) | |
| 49.2b | (/.f64 (-.f64 (pow.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) 3) (pow.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))) 3)) (+.f64 (pow.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) 2) (+.f64 (pow.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))) 2) (*.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (fma.f64 1/2 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))))))) | |
| 48.6b | (-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (pow.f64 (sqrt.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))) 2)) | |
| 37.5b | (cbrt.f64 (pow.f64 (-.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (fma.f64 1/2 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))) 3)) | |
| 38.3b | (/.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 3))) (+.f64 (/.f64 (log.f64 x) (*.f64 n n)) (/.f64 1 n))) x) | |
| 36.0b | (+.f64 (fma.f64 (/.f64 (+.f64 (/.f64 1/24 (pow.f64 n 4)) (+.f64 (/.f64 11/24 (*.f64 n n)) (+.f64 (/.f64 -1/4 n) (/.f64 -1/4 (pow.f64 n 3))))) (pow.f64 x 4)) (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))) (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x x)) (+.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (/.f64 (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 (/.f64 -1/2 n) n))) x)))) | |
| 34.3b | (pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 3) | |
| 34.2b | (*.f64 (sqrt.f64 (-.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (fma.f64 1/2 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))))) (sqrt.f64 (-.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (fma.f64 1/2 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))))) | |
| 46.0b | (*.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (fma.f64 1/2 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))))) 2) (cbrt.f64 (+.f64 (-.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (fma.f64 1/2 (*.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 1/2 (*.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))))) (sqrt.f64 (fma.f64 1/2 (*.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))) (fma.f64 1/2 (*.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))))))) | |
| ✓ | 24.1b | (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (fma.f64 1/2 (*.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))))) 3) 2) (cbrt.f64 (-.f64 (fma.f64 1/2 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (fma.f64 1/2 (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))))) |
| ✓ | 23.3b | (-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))) |
Compiled 26001 to 16063 computations (38.2% saved)
Total -55.2b remaining (-720%)
Threshold costs -55.2b (-720%)
Compiled 3583 to 2006 computations (44% saved)
| 2× | binary-search |
2 calls:
| 727.0ms | x |
| 539.0ms | x |
| Iters | Point | Range | ||||
|---|---|---|---|---|---|---|
44000.0 | ∈ [ | 15914.428548874874 | , | 44063.95012419874 | ] | |
1.45e-294 | ∈ [ | 1.4299514925519769e-294 | , | 7.905780554554484e-292 | ] | |
Compiled 1136 to 678 computations (40.3% saved)
| 1× | egg-herbie |
| 23× | cancel-sign-sub-inv_binary64 |
| 19× | distribute-rgt-neg-in_binary64 |
| 15× | distribute-lft-neg-in_binary64 |
| 12× | +-commutative_binary64 |
| 12× | neg-sub0_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 171 |
| 1 | 70 | 169 |
| 2 | 104 | 169 |
| 3 | 149 | 169 |
| 4 | 185 | 169 |
| 5 | 207 | 169 |
| 6 | 212 | 169 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 x 4170648072880573/2876309015779705452366888305262439573788763166307690516374881298523722812888015410123335637158520576337921822077942293722540636301030665959885558890231585990044286294797847764420835513619937505911249327233360092301410410917479406103582609768653235794613608170953380771839155935015675460877365701273987586195456) (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 3)) (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (-.f64 (*.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (neg.f64 (pow.f64 x (/.f64 1 n)))) (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (neg.f64 (pow.f64 x (/.f64 1 n))))))) (if (<=.f64 x 44000) (-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)))) |
| Outputs |
|---|
(if (<=.f64 x 4170648072880573/2876309015779705452366888305262439573788763166307690516374881298523722812888015410123335637158520576337921822077942293722540636301030665959885558890231585990044286294797847764420835513619937505911249327233360092301410410917479406103582609768653235794613608170953380771839155935015675460877365701273987586195456) (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 3)) (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (-.f64 (*.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (neg.f64 (pow.f64 x (/.f64 1 n)))) (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (neg.f64 (pow.f64 x (/.f64 1 n))))))) (if (<=.f64 x 44000) (-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)))) |
(if (<=.f64 x 4170648072880573/2876309015779705452366888305262439573788763166307690516374881298523722812888015410123335637158520576337921822077942293722540636301030665959885558890231585990044286294797847764420835513619937505911249327233360092301410410917479406103582609768653235794613608170953380771839155935015675460877365701273987586195456) (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 3)) (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (-.f64 (*.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (neg.f64 (pow.f64 x (/.f64 1 n))))))) (if (<=.f64 x 44000) (-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)))) |
(if (<=.f64 x 4170648072880573/2876309015779705452366888305262439573788763166307690516374881298523722812888015410123335637158520576337921822077942293722540636301030665959885558890231585990044286294797847764420835513619937505911249327233360092301410410917479406103582609768653235794613608170953380771839155935015675460877365701273987586195456) (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 3)) (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (+.f64 (*.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))) (if (<=.f64 x 44000) (-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n))) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n)))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)))) |
| 1× | fuel |
Compiled 1033 to 551 computations (46.7% saved)
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