Time bar (total: 17.2s)
| 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 |
Compiled 16 to 12 computations (25% saved)
| 2.7s | 2734× | body | 1024 | valid |
| 2.6s | 1741× | body | 1024 | invalid |
| 2.0s | 1820× | body | 2048 | valid |
| 1.1s | 1230× | body | 512 | valid |
| 1.0s | 1004× | body | 512 | invalid |
| 347.0ms | 546× | body | 256 | invalid |
| 308.0ms | 1520× | body | 64 | invalid |
| 307.0ms | 559× | body | 256 | valid |
| 296.0ms | 1602× | body | 64 | valid |
| 131.0ms | 311× | body | 128 | valid |
| 108.0ms | 292× | body | 128 | invalid |
| 13.0ms | 7× | body | 2048 | invalid |
| 2× | egg-herbie |
| 754× | fma-def_binary64 |
| 470× | distribute-rgt-in_binary64 |
| 438× | distribute-lft-in_binary64 |
| 424× | fma-neg_binary64 |
| 314× | associate-*l*_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 |
| 6 | 6722 | 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 |
| 270× | *-commutative_binary64 |
| 253× | distribute-rgt-neg-in_binary64 |
| 242× | sub-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 |
| 7 | 6496 | 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 |
|---|---|---|
| ▶ | 34.5b | (-.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 |
|---|---|---|
| ✓ | 2.1b | (-.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 |
| 465× | log-prod_binary64 |
| 316× | pow-prod-down_binary64 |
| 294× | fma-def_binary64 |
| 293× | pow-pow_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 x (/.f64 1 n)))) (sqrt.f64 (pow.f64 x (/.f64 1 n))) (exp.f64 (/.f64 (log1p.f64 x) n)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 1 (/.f64 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n)) (neg.f64 (pow.f64 x (/.f64 1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 1 (/.f64 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n)) (*.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (/.f64 1 n)) (pow.f64 (cbrt.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 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (/.f64 1 n)) (pow.f64 (cbrt.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 (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 |
| 308× | associate-+l+_binary64 |
| 306× | associate-/r*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 151 | 1366 |
| 1 | 469 | 1293 |
| 2 | 1645 | 1207 |
| 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 1 (-.f64 (fma.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (*.f64 x x) (/.f64 x n)) (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 x (*.f64 x (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n))) 1) (-.f64 (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 x n)) (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))))))) |
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(-.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 (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (/.f64 (log1p.f64 x) n)) (+.f64 (/.f64 (log.f64 x) n) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n))))) |
(fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (-.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n))))) |
(+.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 (log1p.f64 x) (log.f64 x)) n) (+.f64 (/.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 (log1p.f64 x) (log.f64 x)) n) (+.f64 (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 (/.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)))) |
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 151 | 3 | 154 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 152 | 3 | 155 |
| Status | Error | Program |
|---|---|---|
| 34.0b | (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (sqrt.f64 (pow.f64 x (/.f64 1 n))) (exp.f64 (/.f64 (log1p.f64 x) n))) | |
| ▶ | 18.8b | (+.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)))) |
| 35.4b | (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))) |
Compiled 5385 to 3204 computations (40.5% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.5b | (pow.f64 (log.f64 x) 2) |
| ✓ | 2.2b | (/.f64 (pow.f64 (log1p.f64 x) 2) n) |
| ✓ | 3.8b | (-.f64 (log1p.f64 x) (log.f64 x)) |
| ✓ | 3.8b | (-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n) (/.f64 (pow.f64 (log.f64 x) 2) n)) |
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 47.0ms | n | @ | 0 | (-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n) (/.f64 (pow.f64 (log.f64 x) 2) n)) |
| 36.0ms | x | @ | 0 | (pow.f64 (log.f64 x) 2) |
| 35.0ms | x | @ | inf | (pow.f64 (log.f64 x) 2) |
| 12.0ms | x | @ | -inf | (pow.f64 (log.f64 x) 2) |
| 11.0ms | n | @ | inf | (-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n) (/.f64 (pow.f64 (log.f64 x) 2) n)) |
| 1× | batch-egg-rewrite |
| 681× | log-prod_binary64 |
| 571× | fma-def_binary64 |
| 306× | fma-neg_binary64 |
| 242× | expm1-udef_binary64 |
| 242× | log1p-udef_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 40 |
| 1 | 277 | 40 |
| 2 | 4080 | 40 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n) (/.f64 (pow.f64 (log.f64 x) 2) n)) |
(-.f64 (log1p.f64 x) (log.f64 x)) |
(/.f64 (pow.f64 (log1p.f64 x) 2) n) |
(pow.f64 (log.f64 x) 2) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (pow.f64 (log1p.f64 x) 2) n))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n))) (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 x) (*.f64 (log1p.f64 x) (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log1p.f64 x) 2) (/.f64 1 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (pow.f64 (log1p.f64 x) 2) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 4)) (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n)) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n)) 2) (cbrt.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log1p.f64 x) (sqrt.f64 n)) (/.f64 (log1p.f64 x) (sqrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (log1p.f64 x) 2)) (/.f64 1 (neg.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 n) (pow.f64 (log1p.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (pow.f64 (log1p.f64 x) 2) (cbrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 n)) (/.f64 (pow.f64 (log1p.f64 x) 2) (sqrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log1p.f64 x) 1) (/.f64 (log1p.f64 x) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 4)) 1) (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log1p.f64 x) (pow.f64 (cbrt.f64 n) 2)) (/.f64 (log1p.f64 x) (cbrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 4)) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 4)) (sqrt.f64 n)) (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (sqrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log1p.f64 x) (sqrt.f64 n)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 n (pow.f64 (log1p.f64 x) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 n (pow.f64 (log1p.f64 x) 2)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) (neg.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (log1p.f64 x) 4) (*.f64 n n)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (log.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 x (log.f64 x))) (cbrt.f64 (pow.f64 x (log.f64 x))))) (log.f64 (cbrt.f64 (pow.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 x (log.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 x) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (log.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (pow.f64 (log.f64 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log.f64 x) 4)) (pow.f64 (cbrt.f64 (log.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 x)) (*.f64 (sqrt.f64 (log.f64 x)) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (log.f64 x)) 3) (sqrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 x) (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 x (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (log.f64 x) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (log.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (log.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (log.f64 x) 2))))))) |
| 1× | egg-herbie |
| 753× | fma-neg_binary64 |
| 587× | fma-def_binary64 |
| 549× | unsub-neg_binary64 |
| 521× | associate-+l+_binary64 |
| 385× | sub-neg_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 139 | 1711 |
| 1 | 415 | 1636 |
| 2 | 1403 | 1548 |
| 3 | 5838 | 1542 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (/.f64 (pow.f64 (log.f64 x) 2) n)) |
(+.f64 (/.f64 (pow.f64 x 2) n) (*.f64 -1 (/.f64 (pow.f64 (log.f64 x) 2) n))) |
(+.f64 (/.f64 (pow.f64 x 2) n) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) n)) (*.f64 -1 (/.f64 (pow.f64 (log.f64 x) 2) n)))) |
(+.f64 (/.f64 (pow.f64 x 2) n) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) n)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (log.f64 x) 2) n)) (*.f64 11/12 (/.f64 (pow.f64 x 4) n))))) |
(*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) (*.f64 n x))) |
(+.f64 (/.f64 (log.f64 (/.f64 1 x)) (*.f64 n (pow.f64 x 2))) (+.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) (*.f64 n x))) (/.f64 1 (*.f64 n (pow.f64 x 2))))) |
(-.f64 (+.f64 (/.f64 (log.f64 (/.f64 1 x)) (*.f64 n (pow.f64 x 2))) (+.f64 (*.f64 -2/3 (/.f64 (log.f64 (/.f64 1 x)) (*.f64 n (pow.f64 x 3)))) (+.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) (*.f64 n x))) (/.f64 1 (*.f64 n (pow.f64 x 2)))))) (/.f64 1 (*.f64 n (pow.f64 x 3)))) |
(-.f64 (+.f64 (*.f64 11/12 (/.f64 1 (*.f64 n (pow.f64 x 4)))) (+.f64 (/.f64 (log.f64 (/.f64 1 x)) (*.f64 n (pow.f64 x 2))) (+.f64 (*.f64 -2/3 (/.f64 (log.f64 (/.f64 1 x)) (*.f64 n (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (/.f64 (log.f64 (/.f64 1 x)) (*.f64 n (pow.f64 x 4)))) (+.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) (*.f64 n x))) (/.f64 1 (*.f64 n (pow.f64 x 2)))))))) (/.f64 1 (*.f64 n (pow.f64 x 3)))) |
(*.f64 2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (*.f64 n x))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (*.f64 n (pow.f64 x 2)))) (+.f64 (/.f64 1 (*.f64 n (pow.f64 x 2))) (*.f64 2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (*.f64 n x))))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 1 n) (*.f64 -2/3 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (*.f64 n (pow.f64 x 2)))) (+.f64 (/.f64 1 (*.f64 n (pow.f64 x 2))) (*.f64 2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (*.f64 n x)))))) |
(+.f64 (*.f64 11/12 (/.f64 1 (*.f64 n (pow.f64 x 4)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 1 n) (*.f64 -2/3 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (*.f64 n (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (*.f64 n (pow.f64 x 4)))) (+.f64 (/.f64 1 (*.f64 n (pow.f64 x 2))) (*.f64 2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (*.f64 n x)))))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 (log.f64 x) 2)) n) |
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 (log.f64 x) 2)) n) |
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 (log.f64 x) 2)) n) |
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 (log.f64 x) 2)) n) |
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 (log.f64 x) 2)) n) |
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 (log.f64 x) 2)) n) |
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 (log.f64 x) 2)) n) |
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 (log.f64 x) 2)) n) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (pow.f64 (log.f64 (+.f64 1 x)) 2)) (*.f64 -1 (pow.f64 (log.f64 x) 2))) n)) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (pow.f64 (log.f64 (+.f64 1 x)) 2)) (*.f64 -1 (pow.f64 (log.f64 x) 2))) n)) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (pow.f64 (log.f64 (+.f64 1 x)) 2)) (*.f64 -1 (pow.f64 (log.f64 x) 2))) n)) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (pow.f64 (log.f64 (+.f64 1 x)) 2)) (*.f64 -1 (pow.f64 (log.f64 x) 2))) n)) |
(*.f64 -1 (log.f64 x)) |
(+.f64 x (*.f64 -1 (log.f64 x))) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 x (*.f64 -1 (log.f64 x)))) |
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 x (*.f64 -1 (log.f64 x))))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))) |
(/.f64 (pow.f64 x 2) n) |
(+.f64 (/.f64 (pow.f64 x 2) n) (*.f64 -1 (/.f64 (pow.f64 x 3) n))) |
(+.f64 (/.f64 (pow.f64 x 2) n) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) n)) (*.f64 11/12 (/.f64 (pow.f64 x 4) n)))) |
(+.f64 (/.f64 (pow.f64 x 2) n) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) n)) (+.f64 (*.f64 -5/6 (/.f64 (pow.f64 x 5) n)) (*.f64 11/12 (/.f64 (pow.f64 x 4) n))))) |
(/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) n) |
(+.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) (*.f64 n x))) (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) n)) |
(+.f64 (/.f64 (log.f64 (/.f64 1 x)) (*.f64 n (pow.f64 x 2))) (+.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) (*.f64 n x))) (+.f64 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) n) (/.f64 1 (*.f64 n (pow.f64 x 2)))))) |
(-.f64 (+.f64 (/.f64 (log.f64 (/.f64 1 x)) (*.f64 n (pow.f64 x 2))) (+.f64 (*.f64 -2/3 (/.f64 (log.f64 (/.f64 1 x)) (*.f64 n (pow.f64 x 3)))) (+.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) (*.f64 n x))) (+.f64 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) n) (/.f64 1 (*.f64 n (pow.f64 x 2))))))) (/.f64 1 (*.f64 n (pow.f64 x 3)))) |
(/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) n) |
(+.f64 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) n) (*.f64 2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (*.f64 n x)))) |
(+.f64 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) n) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (*.f64 n (pow.f64 x 2)))) (+.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (*.f64 n x))) (/.f64 1 (*.f64 n (pow.f64 x 2)))))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 1 n) (*.f64 -2/3 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) (pow.f64 x 3))) (+.f64 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) n) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (*.f64 n (pow.f64 x 2)))) (+.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (*.f64 n x))) (/.f64 1 (*.f64 n (pow.f64 x 2))))))) |
(/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) n) |
(/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) n) |
(/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) n) |
(/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) n) |
(/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) n) |
(/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) n) |
(/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) n) |
(/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) n) |
(/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) n) |
(/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) n) |
(/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) n) |
(/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) n) |
(pow.f64 (log.f64 (/.f64 1 x)) 2) |
(pow.f64 (log.f64 (/.f64 1 x)) 2) |
(pow.f64 (log.f64 (/.f64 1 x)) 2) |
(pow.f64 (log.f64 (/.f64 1 x)) 2) |
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) |
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) |
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) |
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) |
| Outputs |
|---|
(*.f64 -1 (/.f64 (pow.f64 (log.f64 x) 2) n)) |
(/.f64 (neg.f64 (pow.f64 (log.f64 x) 2)) n) |
(+.f64 (/.f64 (pow.f64 x 2) n) (*.f64 -1 (/.f64 (pow.f64 (log.f64 x) 2) n))) |
(+.f64 (/.f64 (neg.f64 (pow.f64 (log.f64 x) 2)) n) (/.f64 (*.f64 x x) n)) |
(-.f64 (/.f64 (*.f64 x x) n) (/.f64 (pow.f64 (log.f64 x) 2) n)) |
(-.f64 (/.f64 x (/.f64 n x)) (/.f64 (pow.f64 (log.f64 x) 2) n)) |
(+.f64 (/.f64 (pow.f64 x 2) n) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) n)) (*.f64 -1 (/.f64 (pow.f64 (log.f64 x) 2) n)))) |
(+.f64 (/.f64 (*.f64 x x) n) (fma.f64 -1 (/.f64 (pow.f64 x 3) n) (/.f64 (neg.f64 (pow.f64 (log.f64 x) 2)) n))) |
(-.f64 (-.f64 (/.f64 (*.f64 x x) n) (/.f64 (pow.f64 x 3) n)) (/.f64 (pow.f64 (log.f64 x) 2) n)) |
(-.f64 (/.f64 x (/.f64 n x)) (+.f64 (/.f64 (pow.f64 (log.f64 x) 2) n) (/.f64 (pow.f64 x 3) n))) |
(+.f64 (/.f64 (pow.f64 x 2) n) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) n)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (log.f64 x) 2) n)) (*.f64 11/12 (/.f64 (pow.f64 x 4) n))))) |
(+.f64 (/.f64 (*.f64 x x) n) (fma.f64 -1 (/.f64 (pow.f64 x 3) n) (fma.f64 -1 (/.f64 (pow.f64 (log.f64 x) 2) n) (*.f64 11/12 (/.f64 (pow.f64 x 4) n))))) |
(+.f64 (/.f64 (*.f64 x x) n) (-.f64 (-.f64 (/.f64 (*.f64 11/12 (pow.f64 x 4)) n) (/.f64 (pow.f64 (log.f64 x) 2) n)) (/.f64 (pow.f64 x 3) n))) |
(-.f64 (-.f64 (fma.f64 11/12 (/.f64 (pow.f64 x 4) n) (/.f64 (*.f64 x x) n)) (/.f64 (pow.f64 (log.f64 x) 2) n)) (/.f64 (pow.f64 x 3) n)) |
(-.f64 (fma.f64 11/12 (/.f64 (pow.f64 x 4) n) (/.f64 x (/.f64 n x))) (+.f64 (/.f64 (pow.f64 (log.f64 x) 2) n) (/.f64 (pow.f64 x 3) n))) |
(*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) (*.f64 n x))) |
(/.f64 (*.f64 -2 (neg.f64 (log.f64 x))) (*.f64 x n)) |
(/.f64 (*.f64 2 (log.f64 x)) (*.f64 x n)) |
(*.f64 (/.f64 2 x) (/.f64 (log.f64 x) n)) |
(/.f64 (/.f64 (*.f64 (log.f64 x) 2) n) x) |
(+.f64 (/.f64 (log.f64 (/.f64 1 x)) (*.f64 n (pow.f64 x 2))) (+.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) (*.f64 n x))) (/.f64 1 (*.f64 n (pow.f64 x 2))))) |
(+.f64 (/.f64 (neg.f64 (log.f64 x)) (*.f64 n (*.f64 x x))) (fma.f64 -2 (/.f64 (neg.f64 (log.f64 x)) (*.f64 x n)) (/.f64 1 (*.f64 n (*.f64 x x))))) |
(+.f64 (/.f64 (neg.f64 (log.f64 x)) (*.f64 n (*.f64 x x))) (+.f64 (/.f64 (*.f64 2 (log.f64 x)) (*.f64 x n)) (/.f64 1 (*.f64 n (*.f64 x x))))) |
(-.f64 (+.f64 (*.f64 (/.f64 2 x) (/.f64 (log.f64 x) n)) (/.f64 (/.f64 1 n) (*.f64 x x))) (/.f64 (log.f64 x) (*.f64 n (*.f64 x x)))) |
(+.f64 (/.f64 (/.f64 1 n) (*.f64 x x)) (-.f64 (/.f64 (/.f64 (*.f64 (log.f64 x) 2) n) x) (/.f64 (/.f64 (log.f64 x) n) (*.f64 x x)))) |
(-.f64 (+.f64 (/.f64 (log.f64 (/.f64 1 x)) (*.f64 n (pow.f64 x 2))) (+.f64 (*.f64 -2/3 (/.f64 (log.f64 (/.f64 1 x)) (*.f64 n (pow.f64 x 3)))) (+.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) (*.f64 n x))) (/.f64 1 (*.f64 n (pow.f64 x 2)))))) (/.f64 1 (*.f64 n (pow.f64 x 3)))) |
(+.f64 (/.f64 (neg.f64 (log.f64 x)) (*.f64 n (*.f64 x x))) (-.f64 (fma.f64 -2/3 (/.f64 (neg.f64 (log.f64 x)) (*.f64 n (pow.f64 x 3))) (fma.f64 -2 (/.f64 (neg.f64 (log.f64 x)) (*.f64 x n)) (/.f64 1 (*.f64 n (*.f64 x x))))) (/.f64 (/.f64 1 n) (pow.f64 x 3)))) |
(+.f64 (/.f64 (neg.f64 (log.f64 x)) (*.f64 n (*.f64 x x))) (+.f64 (/.f64 (*.f64 2/3 (log.f64 x)) (*.f64 n (pow.f64 x 3))) (-.f64 (+.f64 (/.f64 (*.f64 2 (log.f64 x)) (*.f64 x n)) (/.f64 1 (*.f64 n (*.f64 x x)))) (/.f64 (/.f64 1 n) (pow.f64 x 3))))) |
(+.f64 (*.f64 (neg.f64 (/.f64 (log.f64 x) n)) (+.f64 (/.f64 -2 x) (/.f64 -2/3 (pow.f64 x 3)))) (+.f64 (-.f64 (/.f64 (/.f64 1 n) (*.f64 x x)) (/.f64 (log.f64 x) (*.f64 n (*.f64 x x)))) (/.f64 (/.f64 -1 n) (pow.f64 x 3)))) |
(-.f64 (+.f64 (/.f64 (/.f64 1 n) (*.f64 x x)) (fma.f64 (neg.f64 (/.f64 (log.f64 x) n)) (+.f64 (/.f64 -2 x) (/.f64 -2/3 (pow.f64 x 3))) (/.f64 (/.f64 -1 n) (pow.f64 x 3)))) (/.f64 (/.f64 (log.f64 x) n) (*.f64 x x))) |
(-.f64 (+.f64 (*.f64 11/12 (/.f64 1 (*.f64 n (pow.f64 x 4)))) (+.f64 (/.f64 (log.f64 (/.f64 1 x)) (*.f64 n (pow.f64 x 2))) (+.f64 (*.f64 -2/3 (/.f64 (log.f64 (/.f64 1 x)) (*.f64 n (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (/.f64 (log.f64 (/.f64 1 x)) (*.f64 n (pow.f64 x 4)))) (+.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) (*.f64 n x))) (/.f64 1 (*.f64 n (pow.f64 x 2)))))))) (/.f64 1 (*.f64 n (pow.f64 x 3)))) |
(-.f64 (+.f64 (+.f64 (/.f64 11/12 (*.f64 n (pow.f64 x 4))) (/.f64 (neg.f64 (log.f64 x)) (*.f64 n (*.f64 x x)))) (fma.f64 -2/3 (/.f64 (neg.f64 (log.f64 x)) (*.f64 n (pow.f64 x 3))) (fma.f64 1/2 (/.f64 (neg.f64 (log.f64 x)) (*.f64 n (pow.f64 x 4))) (fma.f64 -2 (/.f64 (neg.f64 (log.f64 x)) (*.f64 x n)) (/.f64 1 (*.f64 n (*.f64 x x))))))) (/.f64 (/.f64 1 n) (pow.f64 x 3))) |
(-.f64 (+.f64 (+.f64 (+.f64 (/.f64 1 (*.f64 n (*.f64 x x))) (fma.f64 -2/3 (/.f64 (neg.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3)) (/.f64 (*.f64 2 (log.f64 x)) (*.f64 x n)))) (/.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 n (pow.f64 x 4)))) (+.f64 (/.f64 (neg.f64 (log.f64 x)) (*.f64 n (*.f64 x x))) (/.f64 11/12 (*.f64 n (pow.f64 x 4))))) (/.f64 (/.f64 1 n) (pow.f64 x 3))) |
(+.f64 (+.f64 (*.f64 (neg.f64 (/.f64 (log.f64 x) n)) (+.f64 (/.f64 -2 x) (/.f64 -2/3 (pow.f64 x 3)))) (-.f64 (/.f64 (/.f64 1 n) (*.f64 x x)) (/.f64 (log.f64 x) (*.f64 n (*.f64 x x))))) (+.f64 (*.f64 (/.f64 -1/2 n) (/.f64 (log.f64 x) (pow.f64 x 4))) (+.f64 (/.f64 11/12 (*.f64 n (pow.f64 x 4))) (/.f64 (/.f64 -1 n) (pow.f64 x 3))))) |
(+.f64 (-.f64 (/.f64 11/12 (*.f64 n (pow.f64 x 4))) (/.f64 (/.f64 (log.f64 x) n) (*.f64 x x))) (+.f64 (+.f64 (/.f64 (/.f64 (*.f64 (log.f64 x) 2) n) x) (/.f64 (/.f64 1 n) (*.f64 x x))) (fma.f64 (neg.f64 (/.f64 (log.f64 x) n)) (+.f64 (/.f64 -2/3 (pow.f64 x 3)) (/.f64 1/2 (pow.f64 x 4))) (/.f64 (/.f64 -1 n) (pow.f64 x 3))))) |
(*.f64 2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (*.f64 n x))) |
(*.f64 2 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (*.f64 x n))) |
(*.f64 (/.f64 2 x) (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) |
(*.f64 2 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (*.f64 x n))) |
(*.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n) (/.f64 2 x)) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (*.f64 n (pow.f64 x 2)))) (+.f64 (/.f64 1 (*.f64 n (pow.f64 x 2))) (*.f64 2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (*.f64 n x))))) |
(fma.f64 -1 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (*.f64 n (*.f64 x x))) (fma.f64 2 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (*.f64 x n)) (/.f64 1 (*.f64 n (*.f64 x x))))) |
(-.f64 (fma.f64 2 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (*.f64 x n)) (/.f64 1 (*.f64 n (*.f64 x x)))) (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (*.f64 n (*.f64 x x)))) |
(+.f64 (/.f64 (/.f64 1 n) (*.f64 x x)) (*.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n) (+.f64 (/.f64 2 x) (/.f64 -1 (*.f64 x x))))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 1 n) (*.f64 -2/3 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (*.f64 n (pow.f64 x 2)))) (+.f64 (/.f64 1 (*.f64 n (pow.f64 x 2))) (*.f64 2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (*.f64 n x)))))) |
(fma.f64 -1 (/.f64 (+.f64 (/.f64 1 n) (/.f64 (*.f64 -2/3 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) n)) (pow.f64 x 3)) (fma.f64 -1 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (*.f64 n (*.f64 x x))) (fma.f64 2 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (*.f64 x n)) (/.f64 1 (*.f64 n (*.f64 x x)))))) |
(-.f64 (-.f64 (fma.f64 2 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (*.f64 x n)) (/.f64 1 (*.f64 n (*.f64 x x)))) (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (*.f64 n (*.f64 x x)))) (/.f64 (fma.f64 -2/3 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n) (/.f64 1 n)) (pow.f64 x 3))) |
(+.f64 (/.f64 (/.f64 1 n) (*.f64 x x)) (-.f64 (*.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n) (+.f64 (/.f64 2 x) (/.f64 -1 (*.f64 x x)))) (/.f64 (fma.f64 -2/3 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n) (/.f64 1 n)) (pow.f64 x 3)))) |
(+.f64 (/.f64 (/.f64 1 n) (*.f64 x x)) (fma.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n) (+.f64 (/.f64 2 x) (/.f64 -1 (*.f64 x x))) (/.f64 (neg.f64 (fma.f64 -2/3 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n) (/.f64 1 n))) (pow.f64 x 3)))) |
(+.f64 (*.f64 11/12 (/.f64 1 (*.f64 n (pow.f64 x 4)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 1 n) (*.f64 -2/3 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (*.f64 n (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (*.f64 n (pow.f64 x 4)))) (+.f64 (/.f64 1 (*.f64 n (pow.f64 x 2))) (*.f64 2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (*.f64 n x)))))))) |
(+.f64 (/.f64 11/12 (*.f64 n (pow.f64 x 4))) (fma.f64 -1 (/.f64 (+.f64 (/.f64 1 n) (/.f64 (*.f64 -2/3 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) n)) (pow.f64 x 3)) (fma.f64 -1 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (*.f64 n (*.f64 x x))) (fma.f64 -1/2 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (*.f64 n (pow.f64 x 4))) (fma.f64 2 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (*.f64 x n)) (/.f64 1 (*.f64 n (*.f64 x x)))))))) |
(+.f64 (-.f64 (fma.f64 -1/2 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (*.f64 n (pow.f64 x 4))) (fma.f64 2 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (*.f64 x n)) (/.f64 1 (*.f64 n (*.f64 x x))))) (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (*.f64 n (*.f64 x x)))) (-.f64 (/.f64 11/12 (*.f64 n (pow.f64 x 4))) (/.f64 (fma.f64 -2/3 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n) (/.f64 1 n)) (pow.f64 x 3)))) |
(+.f64 (/.f64 11/12 (*.f64 n (pow.f64 x 4))) (-.f64 (+.f64 (/.f64 (/.f64 1 n) (*.f64 x x)) (*.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n) (+.f64 (/.f64 2 x) (/.f64 -1/2 (pow.f64 x 4))))) (+.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (*.f64 n (*.f64 x x))) (/.f64 (fma.f64 -2/3 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n) (/.f64 1 n)) (pow.f64 x 3))))) |
(+.f64 (/.f64 11/12 (*.f64 n (pow.f64 x 4))) (-.f64 (-.f64 (+.f64 (/.f64 (/.f64 1 n) (*.f64 x x)) (*.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n) (+.f64 (/.f64 2 x) (/.f64 -1/2 (pow.f64 x 4))))) (/.f64 (fma.f64 -2/3 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n) (/.f64 1 n)) (pow.f64 x 3))) (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (*.f64 n (*.f64 x x))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 (log.f64 x) 2)) n) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) n) |
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 (log.f64 x) 2)) n) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) n) |
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 (log.f64 x) 2)) n) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) n) |
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 (log.f64 x) 2)) n) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) n) |
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 (log.f64 x) 2)) n) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) n) |
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 (log.f64 x) 2)) n) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) n) |
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 (log.f64 x) 2)) n) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) n) |
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 (log.f64 x) 2)) n) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) n) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (pow.f64 (log.f64 (+.f64 1 x)) 2)) (*.f64 -1 (pow.f64 (log.f64 x) 2))) n)) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) n) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (pow.f64 (log.f64 (+.f64 1 x)) 2)) (*.f64 -1 (pow.f64 (log.f64 x) 2))) n)) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) n) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (pow.f64 (log.f64 (+.f64 1 x)) 2)) (*.f64 -1 (pow.f64 (log.f64 x) 2))) n)) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) n) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (pow.f64 (log.f64 (+.f64 1 x)) 2)) (*.f64 -1 (pow.f64 (log.f64 x) 2))) n)) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) n) |
(*.f64 -1 (log.f64 x)) |
(neg.f64 (log.f64 x)) |
(+.f64 x (*.f64 -1 (log.f64 x))) |
(+.f64 x (neg.f64 (log.f64 x))) |
(-.f64 x (log.f64 x)) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 x (*.f64 -1 (log.f64 x)))) |
(fma.f64 -1/2 (*.f64 x x) (+.f64 x (neg.f64 (log.f64 x)))) |
(-.f64 (fma.f64 (*.f64 x x) -1/2 x) (log.f64 x)) |
(-.f64 (fma.f64 x (*.f64 x -1/2) x) (log.f64 x)) |
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 x (*.f64 -1 (log.f64 x))))) |
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (+.f64 x (neg.f64 (log.f64 x))))) |
(fma.f64 (pow.f64 x 3) 1/3 (-.f64 (fma.f64 (*.f64 x x) -1/2 x) (log.f64 x))) |
(-.f64 (fma.f64 (pow.f64 x 3) 1/3 (fma.f64 x (*.f64 x -1/2) x)) (log.f64 x)) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))) |
(+.f64 (/.f64 1 x) (/.f64 -1/2 (*.f64 x x))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 1/3 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x)))) |
(+.f64 (/.f64 1/3 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 -1/2 (*.f64 x x)))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 -1/2 (*.f64 x x)))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (/.f64 1/3 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1/4 (pow.f64 x 4))))) |
(+.f64 (/.f64 1/3 (pow.f64 x 3)) (-.f64 (+.f64 (/.f64 1 x) (/.f64 -1/2 (*.f64 x x))) (/.f64 1/4 (pow.f64 x 4)))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (-.f64 (/.f64 -1/2 (*.f64 x x)) (/.f64 1/4 (pow.f64 x 4))))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))) |
(+.f64 (/.f64 1 x) (/.f64 -1/2 (*.f64 x x))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 1/3 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x)))) |
(+.f64 (/.f64 1/3 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 -1/2 (*.f64 x x)))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 -1/2 (*.f64 x x)))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (/.f64 1/3 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1/4 (pow.f64 x 4))))) |
(+.f64 (/.f64 1/3 (pow.f64 x 3)) (-.f64 (+.f64 (/.f64 1 x) (/.f64 -1/2 (*.f64 x x))) (/.f64 1/4 (pow.f64 x 4)))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (-.f64 (/.f64 -1/2 (*.f64 x x)) (/.f64 1/4 (pow.f64 x 4))))) |
(/.f64 (pow.f64 x 2) n) |
(/.f64 (*.f64 x x) n) |
(/.f64 x (/.f64 n x)) |
(+.f64 (/.f64 (pow.f64 x 2) n) (*.f64 -1 (/.f64 (pow.f64 x 3) n))) |
(+.f64 (/.f64 (*.f64 x x) n) (neg.f64 (/.f64 (pow.f64 x 3) n))) |
(-.f64 (/.f64 (*.f64 x x) n) (/.f64 (pow.f64 x 3) n)) |
(-.f64 (/.f64 x (/.f64 n x)) (/.f64 (pow.f64 x 3) n)) |
(+.f64 (/.f64 (pow.f64 x 2) n) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) n)) (*.f64 11/12 (/.f64 (pow.f64 x 4) n)))) |
(+.f64 (/.f64 (*.f64 x x) n) (fma.f64 -1 (/.f64 (pow.f64 x 3) n) (*.f64 11/12 (/.f64 (pow.f64 x 4) n)))) |
(+.f64 (/.f64 (*.f64 x x) n) (-.f64 (/.f64 (*.f64 11/12 (pow.f64 x 4)) n) (/.f64 (pow.f64 x 3) n))) |
(-.f64 (fma.f64 11/12 (/.f64 (pow.f64 x 4) n) (/.f64 (*.f64 x x) n)) (/.f64 (pow.f64 x 3) n)) |
(-.f64 (fma.f64 11/12 (/.f64 (pow.f64 x 4) n) (/.f64 x (/.f64 n x))) (/.f64 (pow.f64 x 3) n)) |
(+.f64 (/.f64 (pow.f64 x 2) n) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) n)) (+.f64 (*.f64 -5/6 (/.f64 (pow.f64 x 5) n)) (*.f64 11/12 (/.f64 (pow.f64 x 4) n))))) |
(+.f64 (/.f64 (*.f64 x x) n) (fma.f64 -1 (/.f64 (pow.f64 x 3) n) (fma.f64 -5/6 (/.f64 (pow.f64 x 5) n) (*.f64 11/12 (/.f64 (pow.f64 x 4) n))))) |
(+.f64 (/.f64 (*.f64 x x) n) (-.f64 (fma.f64 -5/6 (/.f64 (pow.f64 x 5) n) (/.f64 (*.f64 11/12 (pow.f64 x 4)) n)) (/.f64 (pow.f64 x 3) n))) |
(+.f64 (/.f64 (*.f64 x x) n) (-.f64 (fma.f64 11/12 (/.f64 (pow.f64 x 4) n) (*.f64 -5/6 (/.f64 (pow.f64 x 5) n))) (/.f64 (pow.f64 x 3) n))) |
(+.f64 (/.f64 x (/.f64 n x)) (-.f64 (fma.f64 -5/6 (/.f64 (pow.f64 x 5) n) (*.f64 (/.f64 11/12 n) (pow.f64 x 4))) (/.f64 (pow.f64 x 3) n))) |
(/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) n) |
(/.f64 (pow.f64 (neg.f64 (log.f64 x)) 2) n) |
(/.f64 (pow.f64 (log.f64 x) 2) n) |
(+.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) (*.f64 n x))) (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) n)) |
(fma.f64 -2 (/.f64 (neg.f64 (log.f64 x)) (*.f64 x n)) (/.f64 (pow.f64 (neg.f64 (log.f64 x)) 2) n)) |
(+.f64 (/.f64 (pow.f64 (log.f64 x) 2) n) (/.f64 (*.f64 2 (log.f64 x)) (*.f64 x n))) |
(+.f64 (/.f64 (pow.f64 (log.f64 x) 2) n) (*.f64 (/.f64 2 x) (/.f64 (log.f64 x) n))) |
(+.f64 (/.f64 (pow.f64 (log.f64 x) 2) n) (/.f64 (/.f64 (*.f64 (log.f64 x) 2) n) x)) |
(+.f64 (/.f64 (log.f64 (/.f64 1 x)) (*.f64 n (pow.f64 x 2))) (+.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) (*.f64 n x))) (+.f64 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) n) (/.f64 1 (*.f64 n (pow.f64 x 2)))))) |
(+.f64 (/.f64 (neg.f64 (log.f64 x)) (*.f64 n (*.f64 x x))) (fma.f64 -2 (/.f64 (neg.f64 (log.f64 x)) (*.f64 x n)) (+.f64 (/.f64 1 (*.f64 n (*.f64 x x))) (/.f64 (pow.f64 (neg.f64 (log.f64 x)) 2) n)))) |
(+.f64 (/.f64 (neg.f64 (log.f64 x)) (*.f64 n (*.f64 x x))) (+.f64 (/.f64 (pow.f64 (log.f64 x) 2) n) (+.f64 (/.f64 (*.f64 2 (log.f64 x)) (*.f64 x n)) (/.f64 1 (*.f64 n (*.f64 x x)))))) |
(+.f64 (/.f64 (pow.f64 (log.f64 x) 2) n) (-.f64 (+.f64 (*.f64 (/.f64 2 x) (/.f64 (log.f64 x) n)) (/.f64 (/.f64 1 n) (*.f64 x x))) (/.f64 (log.f64 x) (*.f64 n (*.f64 x x))))) |
(+.f64 (/.f64 (pow.f64 (log.f64 x) 2) n) (+.f64 (/.f64 (/.f64 1 n) (*.f64 x x)) (-.f64 (/.f64 (/.f64 (*.f64 (log.f64 x) 2) n) x) (/.f64 (/.f64 (log.f64 x) n) (*.f64 x x))))) |
(-.f64 (+.f64 (/.f64 (log.f64 (/.f64 1 x)) (*.f64 n (pow.f64 x 2))) (+.f64 (*.f64 -2/3 (/.f64 (log.f64 (/.f64 1 x)) (*.f64 n (pow.f64 x 3)))) (+.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) (*.f64 n x))) (+.f64 (/.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) n) (/.f64 1 (*.f64 n (pow.f64 x 2))))))) (/.f64 1 (*.f64 n (pow.f64 x 3)))) |
(+.f64 (/.f64 (neg.f64 (log.f64 x)) (*.f64 n (*.f64 x x))) (-.f64 (fma.f64 -2/3 (/.f64 (neg.f64 (log.f64 x)) (*.f64 n (pow.f64 x 3))) (fma.f64 -2 (/.f64 (neg.f64 (log.f64 x)) (*.f64 x n)) (+.f64 (/.f64 1 (*.f64 n (*.f64 x x))) (/.f64 (pow.f64 (neg.f64 (log.f64 x)) 2) n)))) (/.f64 (/.f64 1 n) (pow.f64 x 3)))) |
(+.f64 (/.f64 (neg.f64 (log.f64 x)) (*.f64 n (*.f64 x x))) (+.f64 (fma.f64 -2/3 (/.f64 (neg.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3)) (/.f64 (*.f64 2 (log.f64 x)) (*.f64 x n))) (-.f64 (+.f64 (/.f64 (pow.f64 (log.f64 x) 2) n) (/.f64 1 (*.f64 n (*.f64 x x)))) (/.f64 (/.f64 1 n) (pow.f64 x 3))))) |
(+.f64 (+.f64 (/.f64 (/.f64 -1 n) (pow.f64 x 3)) (*.f64 (neg.f64 (/.f64 (log.f64 x) n)) (+.f64 (/.f64 -2 x) (/.f64 -2/3 (pow.f64 x 3))))) (+.f64 (/.f64 (pow.f64 (log.f64 x) 2) n) (-.f64 (/.f64 (/.f64 1 n) (*.f64 x x)) (/.f64 (log.f64 x) (*.f64 n (*.f64 x x)))))) |
(-.f64 (+.f64 (+.f64 (/.f64 (pow.f64 (log.f64 x) 2) n) (/.f64 (/.f64 1 n) (*.f64 x x))) (fma.f64 (neg.f64 (/.f64 (log.f64 x) n)) (+.f64 (/.f64 -2 x) (/.f64 -2/3 (pow.f64 x 3))) (/.f64 (/.f64 -1 n) (pow.f64 x 3)))) (/.f64 (/.f64 (log.f64 x) n) (*.f64 x x))) |
(/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) n) |
(/.f64 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2) n) |
(/.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2) n) |
(+.f64 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) n) (*.f64 2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (*.f64 n x)))) |
(+.f64 (*.f64 2 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (*.f64 x n))) (/.f64 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2) n)) |
(fma.f64 2 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (*.f64 x n)) (/.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2) n)) |
(+.f64 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) n) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (*.f64 n (pow.f64 x 2)))) (+.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (*.f64 n x))) (/.f64 1 (*.f64 n (pow.f64 x 2)))))) |
(+.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (*.f64 n (*.f64 x x))) (fma.f64 2 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (*.f64 x n)) (/.f64 1 (*.f64 n (*.f64 x x))))) (/.f64 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2) n)) |
(+.f64 (fma.f64 2 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (*.f64 x n)) (/.f64 1 (*.f64 n (*.f64 x x)))) (-.f64 (/.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2) n) (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (*.f64 n (*.f64 x x))))) |
(+.f64 (/.f64 (/.f64 1 n) (*.f64 x x)) (+.f64 (/.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2) n) (*.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n) (+.f64 (/.f64 2 x) (/.f64 -1 (*.f64 x x)))))) |
(+.f64 (+.f64 (/.f64 (/.f64 1 n) (*.f64 x x)) (*.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n) (+.f64 (/.f64 2 x) (/.f64 -1 (*.f64 x x))))) (/.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2) n)) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 1 n) (*.f64 -2/3 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) (pow.f64 x 3))) (+.f64 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) n) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (*.f64 n (pow.f64 x 2)))) (+.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (*.f64 n x))) (/.f64 1 (*.f64 n (pow.f64 x 2))))))) |
(fma.f64 -1 (/.f64 (+.f64 (/.f64 1 n) (/.f64 (*.f64 -2/3 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) n)) (pow.f64 x 3)) (+.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (*.f64 n (*.f64 x x))) (fma.f64 2 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (*.f64 x n)) (/.f64 1 (*.f64 n (*.f64 x x))))) (/.f64 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2) n))) |
(+.f64 (/.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2) n) (-.f64 (-.f64 (fma.f64 2 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (*.f64 x n)) (/.f64 1 (*.f64 n (*.f64 x x)))) (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (*.f64 n (*.f64 x x)))) (/.f64 (fma.f64 -2/3 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n) (/.f64 1 n)) (pow.f64 x 3)))) |
(+.f64 (/.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2) n) (+.f64 (/.f64 (/.f64 1 n) (*.f64 x x)) (-.f64 (*.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n) (+.f64 (/.f64 2 x) (/.f64 -1 (*.f64 x x)))) (/.f64 (fma.f64 -2/3 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n) (/.f64 1 n)) (pow.f64 x 3))))) |
(-.f64 (+.f64 (+.f64 (/.f64 (/.f64 1 n) (*.f64 x x)) (*.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n) (+.f64 (/.f64 2 x) (/.f64 -1 (*.f64 x x))))) (/.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2) n)) (/.f64 (fma.f64 -2/3 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n) (/.f64 1 n)) (pow.f64 x 3))) |
(/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) n) |
(/.f64 (pow.f64 (log1p.f64 x) 2) n) |
(/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) n) |
(/.f64 (pow.f64 (log1p.f64 x) 2) n) |
(/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) n) |
(/.f64 (pow.f64 (log1p.f64 x) 2) n) |
(/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) n) |
(/.f64 (pow.f64 (log1p.f64 x) 2) n) |
(/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) n) |
(/.f64 (pow.f64 (log1p.f64 x) 2) n) |
(/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) n) |
(/.f64 (pow.f64 (log1p.f64 x) 2) n) |
(/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) n) |
(/.f64 (pow.f64 (log1p.f64 x) 2) n) |
(/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) n) |
(/.f64 (pow.f64 (log1p.f64 x) 2) n) |
(/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) n) |
(/.f64 (pow.f64 (log1p.f64 x) 2) n) |
(/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) n) |
(/.f64 (pow.f64 (log1p.f64 x) 2) n) |
(/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) n) |
(/.f64 (pow.f64 (log1p.f64 x) 2) n) |
(/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) n) |
(/.f64 (pow.f64 (log1p.f64 x) 2) n) |
(pow.f64 (log.f64 (/.f64 1 x)) 2) |
(pow.f64 (neg.f64 (log.f64 x)) 2) |
(pow.f64 (log.f64 x) 2) |
(pow.f64 (log.f64 (/.f64 1 x)) 2) |
(pow.f64 (neg.f64 (log.f64 x)) 2) |
(pow.f64 (log.f64 x) 2) |
(pow.f64 (log.f64 (/.f64 1 x)) 2) |
(pow.f64 (neg.f64 (log.f64 x)) 2) |
(pow.f64 (log.f64 x) 2) |
(pow.f64 (log.f64 (/.f64 1 x)) 2) |
(pow.f64 (neg.f64 (log.f64 x)) 2) |
(pow.f64 (log.f64 x) 2) |
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) |
(pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2) |
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2) |
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) |
(pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2) |
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2) |
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) |
(pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2) |
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2) |
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) |
(pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2) |
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2) |
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 370 | 7 | 377 |
| Fresh | 0 | 2 | 2 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 371 | 9 | 380 |
| Status | Error | Program |
|---|---|---|
| 35.4b | (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))) | |
| 19.0b | (+.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3)) n) (*.f64 (/.f64 1/2 n) (-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n) (/.f64 (pow.f64 (log.f64 x) 2) n)))) | |
| 18.9b | (+.f64 (/.f64 (pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) n) (*.f64 (/.f64 1/2 n) (-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n) (/.f64 (pow.f64 (log.f64 x) 2) n)))) | |
| 19.2b | (+.f64 (/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (cbrt.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)))) | |
| 42.2b | (+.f64 (/.f64 (+.f64 (/.f64 1 x) (/.f64 -1/2 (*.f64 x x))) n) (*.f64 (/.f64 1/2 n) (-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n) (/.f64 (pow.f64 (log.f64 x) 2) n)))) | |
| 18.9b | (+.f64 (/.f64 (+.f64 (log.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) (cbrt.f64 (/.f64 (+.f64 x 1) x)))) (log.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)))) n) (*.f64 (/.f64 1/2 n) (-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n) (/.f64 (pow.f64 (log.f64 x) 2) n)))) | |
| 34.0b | (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (sqrt.f64 (pow.f64 x (/.f64 1 n))) (exp.f64 (/.f64 (log1p.f64 x) n))) | |
| ▶ | 18.8b | (+.f64 (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (*.f64 (/.f64 1/2 n) (-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n) (/.f64 (pow.f64 (log.f64 x) 2) n)))) |
| 18.9b | (+.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (+.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)))) |
Compiled 14501 to 7486 computations (48.4% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.5b | (pow.f64 (log.f64 x) 2) | |
| 2.2b | (/.f64 (pow.f64 (log1p.f64 x) 2) n) | |
| 3.8b | (-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n) (/.f64 (pow.f64 (log.f64 x) 2) n)) | |
| ✓ | 4.0b | (log.f64 (/.f64 (+.f64 x 1) x)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (log.f64 (/.f64 (+.f64 x 1) x)) |
| 0.0ms | x | @ | -inf | (log.f64 (/.f64 (+.f64 x 1) x)) |
| 0.0ms | x | @ | inf | (log.f64 (/.f64 (+.f64 x 1) x)) |
| 1× | batch-egg-rewrite |
| 680× | pow1_binary64 |
| 635× | log1p-expm1-u_binary64 |
| 635× | expm1-log1p-u_binary64 |
| 634× | add-log-exp_binary64 |
| 622× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 9 |
| 1 | 127 | 8 |
| 2 | 1703 | 8 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 (/.f64 (+.f64 x 1) x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (log1p.f64 x) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 x) (neg.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x))) (log.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (log.f64 x) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log1p.f64 x) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (-.f64 (log1p.f64 x) (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 (neg.f64 x) -1)) (log.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (log1p.f64 x) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (*.f64 (log1p.f64 x) (log1p.f64 x)) (+.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 (log1p.f64 x) (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (log1p.f64 x) (log1p.f64 x)) (*.f64 (log.f64 x) (log.f64 x))) (+.f64 (log1p.f64 x) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (log.f64 x) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (/.f64 (+.f64 x 1) x) 1)))))) |
| 1× | egg-herbie |
| 819× | fma-def_binary64 |
| 672× | associate-*l*_binary64 |
| 415× | cancel-sign-sub-inv_binary64 |
| 415× | times-frac_binary64 |
| 339× | fma-neg_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 190 |
| 1 | 88 | 184 |
| 2 | 224 | 184 |
| 3 | 649 | 181 |
| 4 | 2034 | 181 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (log.f64 x)) |
(+.f64 x (*.f64 -1 (log.f64 x))) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 x (*.f64 -1 (log.f64 x)))) |
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 x (*.f64 -1 (log.f64 x))))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))) |
| Outputs |
|---|
(*.f64 -1 (log.f64 x)) |
(neg.f64 (log.f64 x)) |
(+.f64 x (*.f64 -1 (log.f64 x))) |
(+.f64 x (neg.f64 (log.f64 x))) |
(-.f64 x (log.f64 x)) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 x (*.f64 -1 (log.f64 x)))) |
(fma.f64 -1/2 (*.f64 x x) (+.f64 x (neg.f64 (log.f64 x)))) |
(fma.f64 -1/2 (*.f64 x x) (-.f64 x (log.f64 x))) |
(-.f64 (fma.f64 -1/2 (*.f64 x x) x) (log.f64 x)) |
(-.f64 (*.f64 x (fma.f64 x -1/2 1)) (log.f64 x)) |
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 x (*.f64 -1 (log.f64 x))))) |
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (+.f64 x (neg.f64 (log.f64 x))))) |
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (-.f64 x (log.f64 x)))) |
(-.f64 (fma.f64 1/3 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) x)) (log.f64 x)) |
(-.f64 (fma.f64 (*.f64 x x) (fma.f64 x 1/3 -1/2) x) (log.f64 x)) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))) |
(+.f64 (/.f64 1 x) (/.f64 -1/2 (*.f64 x x))) |
(+.f64 (/.f64 1 x) (/.f64 (/.f64 -1/2 x) x)) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (/.f64 1/2 (*.f64 x x))) |
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 1/2 (*.f64 x x)))) |
(+.f64 (/.f64 1/3 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 (/.f64 -1/2 x) x))) |
(+.f64 (/.f64 1/3 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 -1/2 (*.f64 x x)))) |
(-.f64 (/.f64 1 x) (-.f64 (/.f64 (/.f64 1/2 x) x) (/.f64 1/3 (pow.f64 x 3)))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1/4 (pow.f64 x 4)))) |
(+.f64 (+.f64 (/.f64 1 x) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 1/4 (pow.f64 x 4)))) (/.f64 -1/2 (*.f64 x x))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 -1/2 x) x) (/.f64 -1/4 (pow.f64 x 4))))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (+.f64 (/.f64 -1/2 (*.f64 x x)) (/.f64 -1/4 (pow.f64 x 4))))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (-.f64 (/.f64 -1/4 (pow.f64 x 4)) (/.f64 (/.f64 1/2 x) x)))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))) |
(+.f64 (/.f64 1 x) (/.f64 -1/2 (*.f64 x x))) |
(+.f64 (/.f64 1 x) (/.f64 (/.f64 -1/2 x) x)) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (/.f64 1/2 (*.f64 x x))) |
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 1/2 (*.f64 x x)))) |
(+.f64 (/.f64 1/3 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 (/.f64 -1/2 x) x))) |
(+.f64 (/.f64 1/3 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 -1/2 (*.f64 x x)))) |
(-.f64 (/.f64 1 x) (-.f64 (/.f64 (/.f64 1/2 x) x) (/.f64 1/3 (pow.f64 x 3)))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1/4 (pow.f64 x 4)))) |
(+.f64 (+.f64 (/.f64 1 x) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 1/4 (pow.f64 x 4)))) (/.f64 -1/2 (*.f64 x x))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 -1/2 x) x) (/.f64 -1/4 (pow.f64 x 4))))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (+.f64 (/.f64 -1/2 (*.f64 x x)) (/.f64 -1/4 (pow.f64 x 4))))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (-.f64 (/.f64 -1/4 (pow.f64 x 4)) (/.f64 (/.f64 1/2 x) x)))) |
9 alts after pruning (8 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 312 | 3 | 315 |
| Fresh | 3 | 5 | 8 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 315 | 9 | 324 |
| Status | Error | Program |
|---|---|---|
| 18.9b | (+.f64 (/.f64 (pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) n) (*.f64 (/.f64 1/2 n) (-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n) (/.f64 (pow.f64 (log.f64 x) 2) n)))) | |
| 18.9b | (+.f64 (/.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)))) n) (*.f64 (/.f64 1/2 n) (-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n) (/.f64 (pow.f64 (log.f64 x) 2) n)))) | |
| 42.2b | (+.f64 (/.f64 (+.f64 (/.f64 1 x) (/.f64 -1/2 (*.f64 x x))) n) (*.f64 (/.f64 1/2 n) (-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n) (/.f64 (pow.f64 (log.f64 x) 2) n)))) | |
| 34.0b | (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (sqrt.f64 (pow.f64 x (/.f64 1 n))) (exp.f64 (/.f64 (log1p.f64 x) n))) | |
| ✓ | 18.8b | (+.f64 (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (*.f64 (/.f64 1/2 n) (-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n) (/.f64 (pow.f64 (log.f64 x) 2) n)))) |
| 35.4b | (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))) | |
| ▶ | 18.9b | (+.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (+.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)))) |
| 19.0b | (+.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3)) n) (*.f64 (/.f64 1/2 n) (-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n) (/.f64 (pow.f64 (log.f64 x) 2) n)))) | |
| 19.2b | (+.f64 (/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (cbrt.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)))) |
Compiled 12426 to 7746 computations (37.7% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.5b | (pow.f64 (log.f64 x) 2) | |
| 2.2b | (/.f64 (pow.f64 (log1p.f64 x) 2) n) | |
| ✓ | 3.8b | (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) |
| 3.8b | (-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n) (/.f64 (pow.f64 (log.f64 x) 2) n)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) |
| 1.0ms | x | @ | inf | (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) |
| 1.0ms | x | @ | 0 | (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) |
| 1× | batch-egg-rewrite |
| 776× | pow1_binary64 |
| 722× | add-log-exp_binary64 |
| 721× | expm1-log1p-u_binary64 |
| 720× | log1p-expm1-u_binary64 |
| 704× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 14 |
| 1 | 172 | 14 |
| 2 | 2073 | 14 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (log1p.f64 x) 2) (neg.f64 (pow.f64 (log.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (neg.f64 (pow.f64 (log.f64 x) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (fma.f64 (neg.f64 (log.f64 x)) (log.f64 x) (pow.f64 (log.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (fma.f64 (neg.f64 (pow.f64 (log.f64 x) 2)) 1 (pow.f64 (log.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (pow.f64 (log.f64 x) 4)) (pow.f64 (log.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (pow.f64 (log.f64 x) 2)) (pow.f64 (log1p.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) 2) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log1p.f64 x) 6) (pow.f64 (log.f64 x) 6)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 x) 4) (+.f64 (pow.f64 (log.f64 x) 4) (pow.f64 (*.f64 (log1p.f64 x) (log.f64 x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log1p.f64 x) 4) (pow.f64 (log.f64 x) 4)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (log1p.f64 x) (log.f64 x)) (-.f64 (log1p.f64 x) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 x) 4) (+.f64 (pow.f64 (log.f64 x) 4) (pow.f64 (*.f64 (log1p.f64 x) (log.f64 x)) 2))) (-.f64 (pow.f64 (log1p.f64 x) 6) (pow.f64 (log.f64 x) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (-.f64 (pow.f64 (log1p.f64 x) 4) (pow.f64 (log.f64 x) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 x) 6) (pow.f64 (log.f64 x) 6)) (+.f64 (pow.f64 (log1p.f64 x) 4) (+.f64 (pow.f64 (log.f64 x) 4) (pow.f64 (*.f64 (log1p.f64 x) (log.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 x) 4) (pow.f64 (log.f64 x) 4)) (+.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 6) (pow.f64 (log.f64 x) 6))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 x) 4) (+.f64 (pow.f64 (log.f64 x) 4) (pow.f64 (*.f64 (log1p.f64 x) (log.f64 x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 4) (pow.f64 (log.f64 x) 4))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log1p.f64 x) 6) (pow.f64 (neg.f64 (pow.f64 (log.f64 x) 2)) 3)) (+.f64 (pow.f64 (log1p.f64 x) 4) (-.f64 (*.f64 (neg.f64 (pow.f64 (log.f64 x) 2)) (neg.f64 (pow.f64 (log.f64 x) 2))) (*.f64 (pow.f64 (log1p.f64 x) 2) (neg.f64 (pow.f64 (log.f64 x) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 x) 4) (*.f64 (neg.f64 (pow.f64 (log.f64 x) 2)) (neg.f64 (pow.f64 (log.f64 x) 2)))) (-.f64 (pow.f64 (log1p.f64 x) 2) (neg.f64 (pow.f64 (log.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (pow.f64 (log1p.f64 x) 2)) (pow.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log1p.f64 x) (log1p.f64 x) (neg.f64 (pow.f64 (log.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 (log1p.f64 x) 2) (neg.f64 (pow.f64 (log.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 4)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (neg.f64 (pow.f64 (log.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)))))))) |
| 1× | egg-herbie |
| 503× | associate-/r*_binary64 |
| 436× | associate-/l*_binary64 |
| 408× | unsub-neg_binary64 |
| 341× | fma-def_binary64 |
| 297× | associate-+l+_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 69 | 474 |
| 1 | 201 | 443 |
| 2 | 678 | 399 |
| 3 | 2758 | 334 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (pow.f64 (log.f64 x) 2)) |
(+.f64 (pow.f64 x 2) (*.f64 -1 (pow.f64 (log.f64 x) 2))) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 2) (*.f64 -1 (pow.f64 (log.f64 x) 2)))) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 11/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (*.f64 -1 (pow.f64 (log.f64 x) 2))))) |
(*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) x)) |
(+.f64 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) x)))) |
(-.f64 (+.f64 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)) (+.f64 (*.f64 -2/3 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) x))))) (/.f64 1 (pow.f64 x 3))) |
(-.f64 (+.f64 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)) (+.f64 (*.f64 1/2 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 4))) (+.f64 (*.f64 -2/3 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 3))) (+.f64 (*.f64 11/12 (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) x))))))) (/.f64 1 (pow.f64 x 3))) |
(*.f64 2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 x 2))) (*.f64 2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)))) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -2/3 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 3))) (*.f64 2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))))) |
(+.f64 (*.f64 11/12 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -2/3 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 3))) (*.f64 2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))))))) |
| Outputs |
|---|
(*.f64 -1 (pow.f64 (log.f64 x) 2)) |
(neg.f64 (pow.f64 (log.f64 x) 2)) |
(+.f64 (pow.f64 x 2) (*.f64 -1 (pow.f64 (log.f64 x) 2))) |
(+.f64 (neg.f64 (pow.f64 (log.f64 x) 2)) (*.f64 x x)) |
(-.f64 (*.f64 x x) (pow.f64 (log.f64 x) 2)) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 2) (*.f64 -1 (pow.f64 (log.f64 x) 2)))) |
(fma.f64 -1 (pow.f64 x 3) (+.f64 (neg.f64 (pow.f64 (log.f64 x) 2)) (*.f64 x x))) |
(-.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) 2)) (pow.f64 x 3)) |
(-.f64 (*.f64 x x) (+.f64 (pow.f64 (log.f64 x) 2) (pow.f64 x 3))) |
(-.f64 (*.f64 x x) (+.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 2))) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 11/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (*.f64 -1 (pow.f64 (log.f64 x) 2))))) |
(fma.f64 -1 (pow.f64 x 3) (fma.f64 11/12 (pow.f64 x 4) (+.f64 (neg.f64 (pow.f64 (log.f64 x) 2)) (*.f64 x x)))) |
(-.f64 (-.f64 (fma.f64 11/12 (pow.f64 x 4) (*.f64 x x)) (pow.f64 (log.f64 x) 2)) (pow.f64 x 3)) |
(*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) x)) |
(*.f64 -2 (/.f64 (neg.f64 (log.f64 x)) x)) |
(/.f64 (*.f64 2 (log.f64 x)) x) |
(*.f64 2 (/.f64 (log.f64 x) x)) |
(+.f64 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) x)))) |
(+.f64 (/.f64 (neg.f64 (log.f64 x)) (*.f64 x x)) (+.f64 (*.f64 -2 (/.f64 (neg.f64 (log.f64 x)) x)) (/.f64 1 (*.f64 x x)))) |
(+.f64 (/.f64 (neg.f64 (log.f64 x)) (*.f64 x x)) (fma.f64 -2 (/.f64 (neg.f64 (log.f64 x)) x) (/.f64 1 (*.f64 x x)))) |
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 (*.f64 2 (log.f64 x)) x) (/.f64 (log.f64 x) (*.f64 x x)))) |
(+.f64 (/.f64 1 (*.f64 x x)) (*.f64 (/.f64 (log.f64 x) x) (+.f64 2 (/.f64 -1 x)))) |
(-.f64 (+.f64 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)) (+.f64 (*.f64 -2/3 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) x))))) (/.f64 1 (pow.f64 x 3))) |
(+.f64 (/.f64 (neg.f64 (log.f64 x)) (*.f64 x x)) (-.f64 (fma.f64 -2/3 (/.f64 (neg.f64 (log.f64 x)) (pow.f64 x 3)) (+.f64 (*.f64 -2 (/.f64 (neg.f64 (log.f64 x)) x)) (/.f64 1 (*.f64 x x)))) (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (fma.f64 -2/3 (/.f64 (neg.f64 (log.f64 x)) (pow.f64 x 3)) (fma.f64 -2 (/.f64 (neg.f64 (log.f64 x)) x) (/.f64 1 (*.f64 x x)))) (-.f64 (/.f64 (neg.f64 (log.f64 x)) (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (+.f64 (/.f64 (*.f64 2 (log.f64 x)) x) (/.f64 1 (*.f64 x x))) (-.f64 (*.f64 (+.f64 (/.f64 -2/3 x) 1) (/.f64 (neg.f64 (log.f64 x)) (*.f64 x x))) (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (fma.f64 2 (/.f64 (log.f64 x) x) (/.f64 1 (*.f64 x x))) (fma.f64 (+.f64 (/.f64 -2/3 x) 1) (/.f64 (neg.f64 (log.f64 x)) (*.f64 x x)) (/.f64 -1 (pow.f64 x 3)))) |
(-.f64 (+.f64 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)) (+.f64 (*.f64 1/2 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 4))) (+.f64 (*.f64 -2/3 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 3))) (+.f64 (*.f64 11/12 (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) x))))))) (/.f64 1 (pow.f64 x 3))) |
(+.f64 (/.f64 (neg.f64 (log.f64 x)) (*.f64 x x)) (-.f64 (fma.f64 1/2 (/.f64 (neg.f64 (log.f64 x)) (pow.f64 x 4)) (fma.f64 -2/3 (/.f64 (neg.f64 (log.f64 x)) (pow.f64 x 3)) (+.f64 (+.f64 (*.f64 -2 (/.f64 (neg.f64 (log.f64 x)) x)) (/.f64 1 (*.f64 x x))) (/.f64 11/12 (pow.f64 x 4))))) (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 (neg.f64 (log.f64 x)) (*.f64 x x)) (+.f64 (fma.f64 1/2 (/.f64 (neg.f64 (log.f64 x)) (pow.f64 x 4)) (+.f64 (fma.f64 -2 (/.f64 (neg.f64 (log.f64 x)) x) (/.f64 1 (*.f64 x x))) (fma.f64 -2/3 (/.f64 (neg.f64 (log.f64 x)) (pow.f64 x 3)) (/.f64 11/12 (pow.f64 x 4))))) (/.f64 -1 (pow.f64 x 3)))) |
(+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (*.f64 (/.f64 (neg.f64 (log.f64 x)) x) (+.f64 -2 (/.f64 -2/3 (*.f64 x x)))) (/.f64 11/12 (pow.f64 x 4)))) (-.f64 (-.f64 (/.f64 (*.f64 -1/2 (log.f64 x)) (pow.f64 x 4)) (/.f64 (log.f64 x) (*.f64 x x))) (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (+.f64 (+.f64 (/.f64 11/12 (pow.f64 x 4)) (*.f64 (/.f64 (neg.f64 (log.f64 x)) (pow.f64 x 3)) (+.f64 -2/3 (/.f64 1/2 x)))) (+.f64 (/.f64 1 (*.f64 x x)) (*.f64 (/.f64 (log.f64 x) x) (+.f64 2 (/.f64 -1 x))))) (/.f64 -1 (pow.f64 x 3))) |
(*.f64 2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)) |
(*.f64 -2 (/.f64 (neg.f64 (log.f64 x)) x)) |
(/.f64 (*.f64 2 (log.f64 x)) x) |
(*.f64 2 (/.f64 (log.f64 x) x)) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 x 2))) (*.f64 2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)))) |
(+.f64 (/.f64 (neg.f64 (log.f64 x)) (*.f64 x x)) (+.f64 (*.f64 -2 (/.f64 (neg.f64 (log.f64 x)) x)) (/.f64 1 (*.f64 x x)))) |
(+.f64 (/.f64 (neg.f64 (log.f64 x)) (*.f64 x x)) (fma.f64 -2 (/.f64 (neg.f64 (log.f64 x)) x) (/.f64 1 (*.f64 x x)))) |
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 (*.f64 2 (log.f64 x)) x) (/.f64 (log.f64 x) (*.f64 x x)))) |
(+.f64 (/.f64 1 (*.f64 x x)) (*.f64 (/.f64 (log.f64 x) x) (+.f64 2 (/.f64 -1 x)))) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -2/3 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 3))) (*.f64 2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))))) |
(+.f64 (/.f64 1 (*.f64 x x)) (fma.f64 -1 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (*.f64 x x)) (fma.f64 -1 (/.f64 (+.f64 1 (*.f64 -2/3 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) (pow.f64 x 3)) (*.f64 2 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) x))))) |
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (-.f64 (*.f64 2 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) x)) (/.f64 (fma.f64 -2/3 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 1) (pow.f64 x 3))) (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (*.f64 x x)))) |
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (*.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) x) (+.f64 2 (/.f64 -1 x))) (/.f64 (fma.f64 -2/3 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 1) (pow.f64 x 3)))) |
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (*.f64 (/.f64 (log.f64 x) x) (+.f64 2 (/.f64 -1 x))) (/.f64 (fma.f64 (log.f64 x) -2/3 1) (pow.f64 x 3)))) |
(+.f64 (*.f64 11/12 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -2/3 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 3))) (*.f64 2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))))))) |
(+.f64 (/.f64 11/12 (pow.f64 x 4)) (fma.f64 -1/2 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (fma.f64 -1 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (*.f64 x x)) (fma.f64 -1 (/.f64 (+.f64 1 (*.f64 -2/3 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) (pow.f64 x 3)) (*.f64 2 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) x))))))) |
(+.f64 (/.f64 11/12 (pow.f64 x 4)) (+.f64 (-.f64 (-.f64 (*.f64 2 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) x)) (/.f64 (fma.f64 -2/3 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 1) (pow.f64 x 3))) (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (*.f64 x x))) (fma.f64 -1/2 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (pow.f64 x 4)) (/.f64 1 (*.f64 x x))))) |
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (fma.f64 -1/2 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (pow.f64 x 4)) (-.f64 (*.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) x) (+.f64 2 (/.f64 -1 x))) (/.f64 (fma.f64 -2/3 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 1) (pow.f64 x 3)))) (/.f64 11/12 (pow.f64 x 4)))) |
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 11/12 (pow.f64 x 4)) (-.f64 (*.f64 (/.f64 (log.f64 x) x) (+.f64 (/.f64 -1/2 (pow.f64 x 3)) (+.f64 (/.f64 -1 x) 2))) (/.f64 (fma.f64 (log.f64 x) -2/3 1) (pow.f64 x 3))))) |
10 alts after pruning (8 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 355 | 2 | 357 |
| Fresh | 1 | 6 | 7 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 356 | 10 | 366 |
| Status | Error | Program |
|---|---|---|
| 18.9b | (+.f64 (/.f64 (pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) n) (*.f64 (/.f64 1/2 n) (-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n) (/.f64 (pow.f64 (log.f64 x) 2) n)))) | |
| 18.9b | (+.f64 (/.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)))) n) (*.f64 (/.f64 1/2 n) (-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n) (/.f64 (pow.f64 (log.f64 x) 2) n)))) | |
| 18.9b | (+.f64 (/.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 4) (pow.f64 (log.f64 x) 4)) (+.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (/.f64 1 (+.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)))) | |
| ✓ | 18.9b | (+.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (+.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)))) |
| 42.2b | (+.f64 (/.f64 (+.f64 (/.f64 1 x) (/.f64 -1/2 (*.f64 x x))) n) (*.f64 (/.f64 1/2 n) (-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n) (/.f64 (pow.f64 (log.f64 x) 2) n)))) | |
| 34.0b | (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (sqrt.f64 (pow.f64 x (/.f64 1 n))) (exp.f64 (/.f64 (log1p.f64 x) n))) | |
| 42.2b | (+.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (*.f64 x x)) (*.f64 (/.f64 (log.f64 x) x) (+.f64 2 (/.f64 -1 x)))) (/.f64 1 (+.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)))) | |
| ✓ | 18.8b | (+.f64 (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (*.f64 (/.f64 1/2 n) (-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n) (/.f64 (pow.f64 (log.f64 x) 2) n)))) |
| 35.4b | (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))) | |
| 19.2b | (+.f64 (/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (cbrt.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)))) |
Compiled 17845 to 10209 computations (42.8% saved)
Total -44.0b remaining (-466.4%)
Threshold costs -44.0b (-466.4%)
| Inputs |
|---|
(+.f64 (/.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 4) (pow.f64 (log.f64 x) 4)) (+.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (/.f64 1 (+.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 (+.f64 (/.f64 1 (*.f64 x x)) (*.f64 (/.f64 (log.f64 x) x) (+.f64 2 (/.f64 -1 x)))) (/.f64 1 (+.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 (pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) 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 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 x 1) 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 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3)) 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 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3)) 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 (pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) 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 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (cbrt.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 (/.f64 1 x) (/.f64 -1/2 (*.f64 x 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 (log.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) (cbrt.f64 (/.f64 (+.f64 x 1) x)))) (log.f64 (cbrt.f64 (/.f64 (+.f64 x 1) 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 (log.f64 (/.f64 (+.f64 x 1) 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 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (+.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)))) |
(fma.f64 (neg.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (sqrt.f64 (pow.f64 x (/.f64 1 n))) (exp.f64 (/.f64 (log1p.f64 x) n))) |
(+.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)))) |
(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 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) |
| Outputs |
|---|
(fma.f64 (neg.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (sqrt.f64 (pow.f64 x (/.f64 1 n))) (exp.f64 (/.f64 (log1p.f64 x) 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 (log.f64 (/.f64 (+.f64 x 1) x)) n) (*.f64 (/.f64 1/2 n) (-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n) (/.f64 (pow.f64 (log.f64 x) 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))) |
(fma.f64 (neg.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (sqrt.f64 (pow.f64 x (/.f64 1 n))) (exp.f64 (/.f64 (log1p.f64 x) n))) |
| 25.0ms | 10.7b | x |
| 46.0ms | 10.4b | n |
| 4.0ms | 11.9b | (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) |
| 65.0ms | 9.4b | (/.f64 1 n) |
Compiled 522 to 302 computations (42.1% saved)
| 4× | left-value |
4 calls:
| 0.0ms | (/.f64 1 n) |
| 0.0ms | (/.f64 1 n) |
| 0.0ms | (/.f64 1 n) |
| 0.0ms | (/.f64 1 n) |
| Iters | Point | Range | ||||
|---|---|---|---|---|---|---|
0.0002 | ∈ [ | 0.00013496599485461445 | , | 0.0007618974901050699 | ] | |
4e-88 | ∈ [ | 2.059408072904894e-88 | , | 4.357620992696117e-80 | ] | |
-1.9e-23 | ∈ [ | -1.9385405361345047e-23 | , | -1.8390045100661208e-23 | ] | |
-1e+158 | ∈ [ | -1.121769465856193e+158 | , | -3.470259044295721e+150 | ] | |
Compiled 18 to 13 computations (27.8% saved)
| 1× | egg-herbie |
| 7× | +-commutative_binary64 |
| 5× | *-commutative_binary64 |
| 4× | sub-neg_binary64 |
| 3× | neg-sub0_binary64 |
| 3× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 222 |
| 1 | 64 | 222 |
| 2 | 71 | 222 |
| 3 | 76 | 222 |
| 4 | 79 | 222 |
| 5 | 80 | 222 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (/.f64 1 n) -99999999999999995287335453651211007997446182781858083179085387749785952239205787068995699003416510776387310061494932420984963311567802202010637287727642443776) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (sqrt.f64 (pow.f64 x (/.f64 1 n))) (exp.f64 (/.f64 (log1p.f64 x) n))) (if (<=.f64 (/.f64 1 n) -6465364971497831/340282366920938463463374607431768211456) (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))) (if (<=.f64 (/.f64 1 n) 3669597785584114176/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) (+.f64 (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (*.f64 (/.f64 1/2 n) (-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n) (/.f64 (pow.f64 (log.f64 x) 2) n)))) (if (<=.f64 (/.f64 1 n) 7378697629483821/36893488147419103232) (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))) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (sqrt.f64 (pow.f64 x (/.f64 1 n))) (exp.f64 (/.f64 (log1p.f64 x) n))))))) |
| Outputs |
|---|
(if (<=.f64 (/.f64 1 n) -99999999999999995287335453651211007997446182781858083179085387749785952239205787068995699003416510776387310061494932420984963311567802202010637287727642443776) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (sqrt.f64 (pow.f64 x (/.f64 1 n))) (exp.f64 (/.f64 (log1p.f64 x) n))) (if (<=.f64 (/.f64 1 n) -6465364971497831/340282366920938463463374607431768211456) (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))) (if (<=.f64 (/.f64 1 n) 3669597785584114176/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) (+.f64 (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (*.f64 (/.f64 1/2 n) (-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n) (/.f64 (pow.f64 (log.f64 x) 2) n)))) (if (<=.f64 (/.f64 1 n) 7378697629483821/36893488147419103232) (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))) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (sqrt.f64 (pow.f64 x (/.f64 1 n))) (exp.f64 (/.f64 (log1p.f64 x) n))))))) |
(if (<=.f64 (/.f64 1 n) -99999999999999995287335453651211007997446182781858083179085387749785952239205787068995699003416510776387310061494932420984963311567802202010637287727642443776) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (sqrt.f64 (pow.f64 x (/.f64 1 n))) (exp.f64 (/.f64 (log1p.f64 x) n))) (if (<=.f64 (/.f64 1 n) -6465364971497831/340282366920938463463374607431768211456) (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 n x))) (if (<=.f64 (/.f64 1 n) 7167183174968973/17917957937422433684459538244547554224973163977877196279199912807710334969441287563047019946172856926208) (+.f64 (/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n) (*.f64 (/.f64 1/2 n) (-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n) (/.f64 (pow.f64 (log.f64 x) 2) n)))) (if (<=.f64 (/.f64 1 n) 7378697629483821/36893488147419103232) (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 n x))) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (sqrt.f64 (pow.f64 x (/.f64 1 n))) (exp.f64 (/.f64 (log1p.f64 x) n))))))) |
| 1× | fuel |
Compiled 292 to 162 computations (44.5% saved)
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