Details

Time bar (total: 29.2s)

analyze564.0ms (1.9%)

Algorithm
1×search
Search
TrueOtherFalseIter
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
Compiler

Compiled 16 to 12 computations (25% saved)

sample11.3s (38.6%)

Results
3.1s2772×body1024valid
2.5s1687×body1024invalid
2.2s1795×body2048valid
962.0ms1244×body512valid
924.0ms973×body512invalid
770.0ms2445×body256valid
740.0ms2387×body256invalid
12.0ms8×body2048invalid

preprocess89.0ms (0.3%)

Algorithm
2×egg-herbie
Rules
754×fma-def_binary64
466×distribute-rgt-in_binary64
438×distribute-lft-in_binary64
424×fma-neg_binary64
331×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01438
13338
27638
319538
466238
5225838
6679338
022
Stop Event
1×saturated
1×node limit
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
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)))
Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify99.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
436×unswap-sqr_binary64
377×fma-def_binary64
287×*-commutative_binary64
254×distribute-rgt-neg-in_binary64
242×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0919
12019
24219
310419
434119
5113019
6341919
7655619
Stop Event
1×node limit
Counts
1 → 1
Calls
Call 1
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)))

eval1.0ms (0%)

Compiler

Compiled 15 to 11 computations (26.7% saved)

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
32.1b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶32.1b
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
Compiler

Compiled 15 to 11 computations (26.7% saved)

localize24.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(pow.f64 x (/.f64 1 n))
✓0.2b
(pow.f64 (+.f64 x 1) (/.f64 1 n))
✓1.9b
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
Compiler

Compiled 36 to 24 computations (33.3% saved)

series127.0ms (0.4%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
47.0ms
x
@inf
(pow.f64 x (/.f64 1 n))
32.0ms
x
@0
(pow.f64 x (/.f64 1 n))
28.0ms
x
@-inf
(pow.f64 x (/.f64 1 n))
4.0ms
n
@inf
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
3.0ms
x
@-inf
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

rewrite165.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
547×prod-diff_binary64
465×log-prod_binary64
316×pow-prod-down_binary64
294×fma-def_binary64
293×pow-pow_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0936
120732
2285332
Stop Event
1×node limit
Counts
3 → 157
Calls
Call 1
Inputs
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
(pow.f64 (+.f64 x 1) (/.f64 1 n))
(pow.f64 x (/.f64 1 n))
Outputs
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simplify75.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
697×fma-def_binary64
554×times-frac_binary64
442×associate-/l*_binary64
401×associate-+l+_binary64
307×associate-/r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01682497
15212313
217812192
Stop Event
1×node limit
Counts
229 → 232
Calls
Call 1
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)))))
1
(+.f64 (/.f64 x n) 1)
(+.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))))
(+.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 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))
(+.f64 (/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x)) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 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 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x)) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 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 (/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x)) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))))))
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))
(+.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (/.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (*.f64 n x)))
(+.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (+.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 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (+.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)))))
(exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n))
(exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n))
(exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n))
(exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n))
1
(+.f64 1 (/.f64 (log.f64 (+.f64 1 x)) n))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (+.f64 1 (/.f64 (log.f64 (+.f64 1 x)) n)))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (+.f64 1 (+.f64 (/.f64 (log.f64 (+.f64 1 x)) n) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3) (pow.f64 n 3))))))
1
(+.f64 1 (/.f64 (log.f64 (+.f64 1 x)) n))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (+.f64 1 (/.f64 (log.f64 (+.f64 1 x)) n)))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (+.f64 1 (+.f64 (/.f64 (log.f64 (+.f64 1 x)) n) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3) (pow.f64 n 3))))))
(exp.f64 (/.f64 (log.f64 x) n))
(exp.f64 (/.f64 (log.f64 x) n))
(exp.f64 (/.f64 (log.f64 x) n))
(exp.f64 (/.f64 (log.f64 x) n))
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))
(exp.f64 (/.f64 (log.f64 x) n))
(exp.f64 (/.f64 (log.f64 x) n))
(exp.f64 (/.f64 (log.f64 x) n))
(exp.f64 (/.f64 (log.f64 x) n))
1
(+.f64 (/.f64 (log.f64 x) n) 1)
(+.f64 (/.f64 (log.f64 x) n) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))))
(+.f64 (/.f64 (log.f64 x) n) (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))))
1
(+.f64 (/.f64 (log.f64 x) n) 1)
(+.f64 (/.f64 (log.f64 x) n) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))))
(+.f64 (/.f64 (log.f64 x) n) (+.f64 1 (+.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))))))
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 1 (/.f64 x n)) (exp.f64 (/.f64 (log.f64 x) n)))
(+.f64 1 (-.f64 (/.f64 x n) (exp.f64 (/.f64 (log.f64 x) n))))
(-.f64 (+.f64 (/.f64 x n) (+.f64 1 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)))) (exp.f64 (/.f64 (log.f64 x) n)))
(+.f64 (/.f64 x n) (-.f64 (+.f64 1 (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) (exp.f64 (/.f64 (log.f64 x) n))))
(+.f64 (fma.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (*.f64 x x) 1) (-.f64 (/.f64 x n) (exp.f64 (/.f64 (log.f64 x) n))))
(+.f64 (/.f64 x n) (fma.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (*.f64 x x) (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))))
(-.f64 (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2)))) (pow.f64 x 3)) (+.f64 (/.f64 x n) (+.f64 1 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2))))) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (fma.f64 (+.f64 (/.f64 1/3 n) (-.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 1/2 (*.f64 n n)))) (pow.f64 x 3) (+.f64 (/.f64 x n) (+.f64 1 (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))))) (exp.f64 (/.f64 (log.f64 x) n)))
(fma.f64 (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n)))) (pow.f64 x 3) (+.f64 (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 (fma.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (*.f64 x x) (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) (fma.f64 (+.f64 (/.f64 1/6 (pow.f64 n 3)) (+.f64 (/.f64 1/3 n) (/.f64 (/.f64 -1/2 n) n))) (pow.f64 x 3) (/.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 1/3 n) (-.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 1/2 (*.f64 n n))))))))
(+.f64 (+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x x)) (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)))) (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3)) (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n))))))
(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x x)) (+.f64 (/.f64 (+.f64 (/.f64 1/6 (pow.f64 n 3)) (+.f64 (/.f64 1/3 n) (/.f64 (/.f64 -1/2 n) n))) x) (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 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 (/.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 (/.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 (pow.f64 x 3) (+.f64 (/.f64 1/3 n) (-.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 1/2 (*.f64 n n)))))) (+.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 x n)) (/.f64 (+.f64 (/.f64 1/24 (pow.f64 n 4)) (-.f64 (/.f64 11/24 (*.f64 n n)) (+.f64 (/.f64 1/4 (pow.f64 n 3)) (/.f64 1/4 n)))) (/.f64 (pow.f64 x 4) (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))))))))
(+.f64 (+.f64 (+.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)))) (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3)) (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n)))))) (*.f64 (/.f64 (+.f64 (/.f64 1/24 (pow.f64 n 4)) (-.f64 (/.f64 11/24 (*.f64 n n)) (+.f64 (/.f64 1/4 (pow.f64 n 3)) (/.f64 1/4 n)))) (pow.f64 x 4)) (exp.f64 (/.f64 (log.f64 x) n))))
(+.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (/.f64 11/24 n) n) (+.f64 (/.f64 1/24 (pow.f64 n 4)) (+.f64 (/.f64 -1/4 n) (/.f64 -1/4 (pow.f64 n 3))))) (pow.f64 x 4)) (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))) (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x x)) (+.f64 (/.f64 (+.f64 (/.f64 1/6 (pow.f64 n 3)) (+.f64 (/.f64 1/3 n) (/.f64 (/.f64 -1/2 n) n))) x) (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)))))
(/.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (*.f64 n x))
(/.f64 (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) (*.f64 x n))
(/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) (*.f64 x n))
(+.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 (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) (*.f64 x n)) (/.f64 (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) (/.f64 (*.f64 x x) (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))))
(+.f64 (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) (*.f64 x n)) (*.f64 (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x) (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) x)))
(fma.f64 (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x) (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) x) (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) (*.f64 x n)))
(+.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))))
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1
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1
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1
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1
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eval338.0ms (1.2%)

Compiler

Compiled 7189 to 4323 computations (39.9% saved)

prune129.0ms (0.4%)

Pruning

20 alts after pruning (19 fresh and 1 done)

PrunedKeptTotal
New21319232
Fresh000
Picked011
Done000
Total21320233
Error
0.6b
Counts
233 → 20
Alt Table
Click to see full alt table
StatusErrorProgram
16.8b
(+.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))))
40.9b
(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x x)) (+.f64 (/.f64 (+.f64 (/.f64 1/6 (pow.f64 n 3)) (+.f64 (/.f64 1/3 n) (/.f64 (/.f64 -1/2 n) n))) x) (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)))))
31.8b
(pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 3)
21.6b
(-.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)))))
41.0b
(+.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))))
32.2b
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (*.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) (cbrt.f64 (pow.f64 x (/.f64 1 n)))))
▶16.4b
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
▶38.9b
(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)))
48.3b
(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))
32.6b
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
23.6b
(+.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (+.f64 (/.f64 (*.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (pow.f64 n 3)) (*.f64 (/.f64 1/2 n) (-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n) (/.f64 (pow.f64 (log.f64 x) 2) n)))))
▶32.2b
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (cbrt.f64 (pow.f64 x (*.f64 (/.f64 1 n) 3))))
▶43.3b
(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (pow.f64 x (*.f64 2 (/.f64 1 n)))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
25.5b
(-.f64 (+.f64 (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 1/24 (/.f64 (pow.f64 n 4) (pow.f64 (log1p.f64 x) 4)))) (+.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 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (*.f64 (/.f64 1/24 (pow.f64 n 4)) (pow.f64 (log.f64 x) 4))))
31.9b
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 2) (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (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))))
32.2b
(exp.f64 (log.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
▶43.3b
(-.f64 1 (pow.f64 x (/.f64 1 n)))
✓32.1b
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
32.3b
(log.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
31.8b
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
Compiler

Compiled 1121 to 775 computations (30.9% saved)

localize18.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.1b
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
✓1.4b
(-.f64 (log1p.f64 x) (log.f64 x))
Compiler

Compiled 20 to 6 computations (70% saved)

series106.0ms (0.4%)

Counts
2 → 36
Calls

9 calls:

TimeVariablePointExpression
79.0ms
n
@0
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
20.0ms
n
@inf
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
1.0ms
x
@inf
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
1.0ms
n
@-inf
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
1.0ms
x
@0
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)

rewrite114.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
948×pow1_binary64
884×add-log-exp_binary64
884×expm1-log1p-u_binary64
883×log1p-expm1-u_binary64
864×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0719
115419
2228619
Stop Event
1×node limit
Counts
2 → 68
Calls
Call 1
Inputs
(-.f64 (log1p.f64 x) (log.f64 x))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 x) (neg.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 x) (*.f64 (neg.f64 (log.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log.f64 x)) (log1p.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 1 (-.f64 (log1p.f64 x) (log.f64 x)))))) (#(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 1 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (+.f64 (log1p.f64 x) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)))) (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (log1p.f64 x) (log.f64 x)) (-.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) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (+.f64 (log1p.f64 x) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (neg.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 (neg.f64 (log.f64 x)) 3)) (+.f64 (pow.f64 (log1p.f64 x) 2) (-.f64 (*.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x))) (*.f64 (log1p.f64 x) (neg.f64 (log.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x)))) (-.f64 (log1p.f64 x) (neg.f64 (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 sqrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 x 1) x))))) (#(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 log1p.f64 (-.f64 (/.f64 (+.f64 x 1) x) 1))))) (#(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 fma.f64 1 (log1p.f64 x) (neg.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)) (neg.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) (neg.f64 (log.f64 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log1p.f64 x) n) (neg.f64 (/.f64 (log.f64 x) n)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (/.f64 1 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (*.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2) (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 1 (neg.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 n)) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) 1) (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 1) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (pow.f64 (cbrt.f64 n) 2)) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (cbrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (sqrt.f64 n)) (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (sqrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (neg.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (/.f64 (+.f64 x 1) x) (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3) (pow.f64 n 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))))))

simplify88.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
603×distribute-neg-frac_binary64
461×fma-def_binary64
457×associate-/r*_binary64
376×distribute-rgt-neg-in_binary64
335×distribute-lft-neg-in_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
065604
1174594
2459590
31339563
45015557
Stop Event
1×node limit
Counts
104 → 101
Calls
Call 1
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)))))
(*.f64 -1 (/.f64 (log.f64 x) n))
(+.f64 (/.f64 x n) (*.f64 -1 (/.f64 (log.f64 x) n)))
(+.f64 (/.f64 x n) (+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n))))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) n)) (+.f64 (/.f64 x n) (+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n)))))
(/.f64 1 (*.f64 n x))
(-.f64 (/.f64 1 (*.f64 n x)) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (/.f64 1 (*.f64 n x))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (/.f64 1 (*.f64 n x))) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 n (pow.f64 x 4)))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))))
(/.f64 1 (*.f64 n x))
(-.f64 (/.f64 1 (*.f64 n x)) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (/.f64 1 (*.f64 n x))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (/.f64 1 (*.f64 n x))) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 n (pow.f64 x 4)))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))))
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
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))))
(-.f64 (fma.f64 -1/2 (*.f64 x x) x) (log.f64 x))
(-.f64 (fma.f64 x (*.f64 x -1/2) 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) (-.f64 (fma.f64 -1/2 (*.f64 x x) x) (log.f64 x)))
(-.f64 (fma.f64 1/3 (pow.f64 x 3) (fma.f64 x (*.f64 x -1/2) x)) (log.f64 x))
(fma.f64 x (*.f64 x (fma.f64 x 1/3 -1/2)) (-.f64 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 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 1/3 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1/2 (*.f64 x x))) (/.f64 1/3 (pow.f64 x 3)))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 (/.f64 -1/2 x) x)) (/.f64 1/3 (pow.f64 x 3)))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 (/.f64 1/2 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 (/.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 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 x) (+.f64 (-.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 1/4 (pow.f64 x 4))) (/.f64 (/.f64 -1/2 x) x)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 -1/4 (pow.f64 x 4)) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (/.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 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 1/3 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1/2 (*.f64 x x))) (/.f64 1/3 (pow.f64 x 3)))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 (/.f64 -1/2 x) x)) (/.f64 1/3 (pow.f64 x 3)))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 (/.f64 1/2 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 (/.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 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 x) (+.f64 (-.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 1/4 (pow.f64 x 4))) (/.f64 (/.f64 -1/2 x) x)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 -1/4 (pow.f64 x 4)) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 (/.f64 1/2 x) x))))
(*.f64 -1 (/.f64 (log.f64 x) n))
(/.f64 (neg.f64 (log.f64 x)) n)
(+.f64 (/.f64 x n) (*.f64 -1 (/.f64 (log.f64 x) n)))
(+.f64 (/.f64 (neg.f64 (log.f64 x)) n) (/.f64 x n))
(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n))
(+.f64 (/.f64 x n) (+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n))))
(+.f64 (/.f64 x n) (fma.f64 -1 (/.f64 (log.f64 x) n) (*.f64 -1/2 (/.f64 (*.f64 x x) n))))
(+.f64 (-.f64 (/.f64 x n) (/.f64 (log.f64 x) n)) (*.f64 -1/2 (/.f64 x (/.f64 n x))))
(fma.f64 -1/2 (/.f64 x (/.f64 n x)) (-.f64 (/.f64 x n) (/.f64 (log.f64 x) n)))
(-.f64 (fma.f64 (/.f64 -1/2 n) (*.f64 x x) (/.f64 x n)) (/.f64 (log.f64 x) n))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) n)) (+.f64 (/.f64 x n) (+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n)))))
(fma.f64 1/3 (/.f64 (pow.f64 x 3) n) (+.f64 (/.f64 x n) (fma.f64 -1 (/.f64 (log.f64 x) n) (*.f64 -1/2 (/.f64 (*.f64 x x) n)))))
(+.f64 (-.f64 (*.f64 -1/2 (/.f64 x (/.f64 n x))) (/.f64 (log.f64 x) n)) (fma.f64 1/3 (/.f64 (pow.f64 x 3) n) (/.f64 x n)))
(fma.f64 1/3 (/.f64 (pow.f64 x 3) n) (fma.f64 -1/2 (/.f64 x (/.f64 n x)) (-.f64 (/.f64 x n) (/.f64 (log.f64 x) n))))
(-.f64 (fma.f64 -1/2 (*.f64 x (/.f64 x n)) (fma.f64 1/3 (/.f64 (pow.f64 x 3) n) (/.f64 x n))) (/.f64 (log.f64 x) n))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 x n))
(/.f64 (/.f64 1 n) x)
(-.f64 (/.f64 1 (*.f64 n x)) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/2 (*.f64 (*.f64 x x) n)))
(+.f64 (/.f64 (/.f64 1 n) x) (/.f64 -1/2 (*.f64 x (*.f64 x n))))
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 (/.f64 1/2 (*.f64 x n)) x))
(*.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 (/.f64 1 n) x))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (/.f64 1 (*.f64 n x))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(+.f64 (/.f64 1/3 (*.f64 (pow.f64 x 3) n)) (-.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/2 (*.f64 (*.f64 x x) n))))
(+.f64 (/.f64 (/.f64 1 n) x) (-.f64 (/.f64 1/3 (*.f64 (pow.f64 x 3) n)) (/.f64 1/2 (*.f64 x (*.f64 x n)))))
(+.f64 (-.f64 (/.f64 1 (*.f64 x n)) (/.f64 (/.f64 1/2 (*.f64 x n)) x)) (/.f64 1/3 (*.f64 (pow.f64 x 3) n)))
(+.f64 (/.f64 (/.f64 1 n) x) (*.f64 (/.f64 (/.f64 (/.f64 1 n) x) x) (-.f64 (/.f64 1/3 x) 1/2)))
(*.f64 (/.f64 (/.f64 1 n) x) (-.f64 (+.f64 (/.f64 1/3 (*.f64 x x)) 1) (/.f64 1/2 x)))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (/.f64 1 (*.f64 n x))) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 n (pow.f64 x 4)))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))))
(-.f64 (+.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/3 (*.f64 (pow.f64 x 3) n))) (+.f64 (/.f64 1/2 (*.f64 (*.f64 x x) n)) (/.f64 1/4 (*.f64 (pow.f64 x 4) n))))
(+.f64 (/.f64 1/3 (*.f64 (pow.f64 x 3) n)) (-.f64 (/.f64 (/.f64 1 n) x) (+.f64 (/.f64 1/2 (*.f64 x (*.f64 x n))) (/.f64 1/4 (*.f64 (pow.f64 x 4) n)))))
(+.f64 (/.f64 1/3 (*.f64 (pow.f64 x 3) n)) (+.f64 (-.f64 (/.f64 1 (*.f64 x n)) (/.f64 (/.f64 1/2 (*.f64 x n)) x)) (/.f64 (/.f64 -1/4 (pow.f64 x 4)) n)))
(+.f64 (*.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 (/.f64 1 n) x)) (*.f64 (/.f64 1 (*.f64 (pow.f64 x 3) n)) (-.f64 1/3 (/.f64 1/4 x))))
(+.f64 (*.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 (/.f64 1 n) x)) (*.f64 (/.f64 1 (*.f64 (pow.f64 x 3) n)) (+.f64 1/3 (/.f64 -1/4 x))))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 x n))
(/.f64 (/.f64 1 n) x)
(-.f64 (/.f64 1 (*.f64 n x)) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/2 (*.f64 (*.f64 x x) n)))
(+.f64 (/.f64 (/.f64 1 n) x) (/.f64 -1/2 (*.f64 x (*.f64 x n))))
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 (/.f64 1/2 (*.f64 x n)) x))
(*.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 (/.f64 1 n) x))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (/.f64 1 (*.f64 n x))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(+.f64 (/.f64 1/3 (*.f64 (pow.f64 x 3) n)) (-.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/2 (*.f64 (*.f64 x x) n))))
(+.f64 (/.f64 (/.f64 1 n) x) (-.f64 (/.f64 1/3 (*.f64 (pow.f64 x 3) n)) (/.f64 1/2 (*.f64 x (*.f64 x n)))))
(+.f64 (-.f64 (/.f64 1 (*.f64 x n)) (/.f64 (/.f64 1/2 (*.f64 x n)) x)) (/.f64 1/3 (*.f64 (pow.f64 x 3) n)))
(+.f64 (/.f64 (/.f64 1 n) x) (*.f64 (/.f64 (/.f64 (/.f64 1 n) x) x) (-.f64 (/.f64 1/3 x) 1/2)))
(*.f64 (/.f64 (/.f64 1 n) x) (-.f64 (+.f64 (/.f64 1/3 (*.f64 x x)) 1) (/.f64 1/2 x)))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (/.f64 1 (*.f64 n x))) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 n (pow.f64 x 4)))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))))
(-.f64 (+.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/3 (*.f64 (pow.f64 x 3) n))) (+.f64 (/.f64 1/2 (*.f64 (*.f64 x x) n)) (/.f64 1/4 (*.f64 (pow.f64 x 4) n))))
(+.f64 (/.f64 1/3 (*.f64 (pow.f64 x 3) n)) (-.f64 (/.f64 (/.f64 1 n) x) (+.f64 (/.f64 1/2 (*.f64 x (*.f64 x n))) (/.f64 1/4 (*.f64 (pow.f64 x 4) n)))))
(+.f64 (/.f64 1/3 (*.f64 (pow.f64 x 3) n)) (+.f64 (-.f64 (/.f64 1 (*.f64 x n)) (/.f64 (/.f64 1/2 (*.f64 x n)) x)) (/.f64 (/.f64 -1/4 (pow.f64 x 4)) n)))
(+.f64 (*.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 (/.f64 1 n) x)) (*.f64 (/.f64 1 (*.f64 (pow.f64 x 3) n)) (-.f64 1/3 (/.f64 1/4 x))))
(+.f64 (*.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 (/.f64 1 n) x)) (*.f64 (/.f64 1 (*.f64 (pow.f64 x 3) n)) (+.f64 1/3 (/.f64 -1/4 x))))
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)

localize23.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(pow.f64 x (/.f64 1 n))
✓3.1b
(-.f64 1 (pow.f64 x (/.f64 1 n)))
Compiler

Compiled 20 to 13 computations (35% saved)

series4.0ms (0%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
n
@inf
(-.f64 1 (pow.f64 x (/.f64 1 n)))
1.0ms
n
@-inf
(-.f64 1 (pow.f64 x (/.f64 1 n)))
1.0ms
x
@inf
(-.f64 1 (pow.f64 x (/.f64 1 n)))
1.0ms
x
@0
(-.f64 1 (pow.f64 x (/.f64 1 n)))
1.0ms
x
@-inf
(-.f64 1 (pow.f64 x (/.f64 1 n)))

rewrite71.0ms (0.2%)

Algorithm
1×batch-egg-rewrite
Rules
758×pow1_binary64
705×add-log-exp_binary64
704×log1p-expm1-u_binary64
704×expm1-log1p-u_binary64
689×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
115310
2193610
Stop Event
1×node limit
Counts
1 → 28
Calls
Call 1
Inputs
(-.f64 1 (pow.f64 x (/.f64 1 n)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (pow.f64 x (/.f64 1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (pow.f64 x (/.f64 1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (pow.f64 x (/.f64 1 n)))) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x (/.f64 1 n)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x (/.f64 1 n)))) 2) (cbrt.f64 (-.f64 1 (pow.f64 x (/.f64 1 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (pow.f64 x (/.f64 1 n)))) (sqrt.f64 (-.f64 1 (pow.f64 x (/.f64 1 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 x (*.f64 (/.f64 1 n) 3))) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 (*.f64 x x) (/.f64 1 n))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (*.f64 x x) (/.f64 1 n))) (/.f64 1 (+.f64 1 (pow.f64 x (/.f64 1 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (+.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 (*.f64 x x) (/.f64 1 n)))) (-.f64 1 (pow.f64 x (*.f64 (/.f64 1 n) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (pow.f64 x (/.f64 1 n))) (-.f64 1 (pow.f64 (*.f64 x x) (/.f64 1 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 x (*.f64 (/.f64 1 n) 3))) (+.f64 1 (+.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 (*.f64 x x) (/.f64 1 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (*.f64 x x) (/.f64 1 n))) (+.f64 1 (pow.f64 x (/.f64 1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 x (*.f64 (/.f64 1 n) 3)))) (neg.f64 (+.f64 1 (+.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 (*.f64 x x) (/.f64 1 n))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (*.f64 x x) (/.f64 1 n)))) (neg.f64 (+.f64 1 (pow.f64 x (/.f64 1 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (neg.f64 (pow.f64 x (/.f64 1 n)))) (neg.f64 (pow.f64 x (/.f64 1 n))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (neg.f64 (pow.f64 x (/.f64 1 n))))) (-.f64 1 (neg.f64 (pow.f64 x (/.f64 1 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x (/.f64 1 n)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (pow.f64 x (/.f64 1 n)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 1 (pow.f64 x (/.f64 1 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1 (pow.f64 x (/.f64 1 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (pow.f64 x (/.f64 1 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (neg.f64 (pow.f64 x (/.f64 1 n)))))))))

simplify71.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
828×associate-/l*_binary64
564×associate-/r*_binary64
538×fma-def_binary64
525×associate-*r*_binary64
448×associate-*l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
047426
1119420
2299408
31118368
Stop Event
1×node limit
Counts
52 → 40
Calls
Call 1
Inputs
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 1 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))))
(-.f64 1 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))))
(-.f64 1 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))))
(-.f64 1 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))))
(-.f64 1 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))
(-.f64 1 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))
(-.f64 1 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))
(-.f64 1 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(*.f64 -1 (/.f64 (log.f64 x) n))
(+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))
(+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))
(+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (+.f64 (*.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))) (+.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 -1 (/.f64 (log.f64 x) n))
(+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))
(+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))
(+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (+.f64 (*.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))) (+.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))))))
Outputs
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))
(-.f64 1 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))
(-.f64 1 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))
(-.f64 1 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))
(-.f64 1 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))
(-.f64 1 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))
(-.f64 1 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))
(-.f64 1 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))
(-.f64 1 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))
(*.f64 -1 (/.f64 (log.f64 x) n))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (neg.f64 (log.f64 x)) n)
(+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))
(fma.f64 -1 (/.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 (log.f64 x) 2) (*.f64 n n)) (/.f64 (neg.f64 (log.f64 x)) n))
(fma.f64 (/.f64 -1/2 n) (/.f64 (pow.f64 (log.f64 x) 2) n) (/.f64 (neg.f64 (log.f64 x)) n))
(*.f64 (/.f64 (log.f64 x) n) (-.f64 (*.f64 (/.f64 (log.f64 x) n) -1/2) 1))
(+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))
(fma.f64 -1 (/.f64 (log.f64 x) n) (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))
(-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))) (/.f64 (log.f64 x) n))
(-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (*.f64 -1/6 (pow.f64 (/.f64 (log.f64 x) n) 3))) (/.f64 (log.f64 x) n))
(fma.f64 -1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (*.f64 (/.f64 (log.f64 x) n) (-.f64 (*.f64 (/.f64 (log.f64 x) n) -1/2) 1)))
(+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (+.f64 (*.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))))
(fma.f64 -1 (/.f64 (log.f64 x) n) (fma.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)) (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))))
(-.f64 (fma.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)) (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))) (/.f64 (log.f64 x) n))
(-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (fma.f64 -1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (*.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))))) (/.f64 (log.f64 x) n))
(fma.f64 -1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (fma.f64 -1/24 (pow.f64 (/.f64 (log.f64 x) n) 4) (*.f64 (/.f64 (log.f64 x) n) (-.f64 (*.f64 (/.f64 (log.f64 x) n) -1/2) 1))))
(*.f64 -1 (/.f64 (log.f64 x) n))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (neg.f64 (log.f64 x)) n)
(+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))
(fma.f64 -1 (/.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 (log.f64 x) 2) (*.f64 n n)) (/.f64 (neg.f64 (log.f64 x)) n))
(fma.f64 (/.f64 -1/2 n) (/.f64 (pow.f64 (log.f64 x) 2) n) (/.f64 (neg.f64 (log.f64 x)) n))
(*.f64 (/.f64 (log.f64 x) n) (-.f64 (*.f64 (/.f64 (log.f64 x) n) -1/2) 1))
(+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))
(fma.f64 -1 (/.f64 (log.f64 x) n) (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))
(-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))) (/.f64 (log.f64 x) n))
(-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (*.f64 -1/6 (pow.f64 (/.f64 (log.f64 x) n) 3))) (/.f64 (log.f64 x) n))
(fma.f64 -1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (*.f64 (/.f64 (log.f64 x) n) (-.f64 (*.f64 (/.f64 (log.f64 x) n) -1/2) 1)))
(+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (+.f64 (*.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))))
(fma.f64 -1 (/.f64 (log.f64 x) n) (fma.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)) (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))))
(-.f64 (fma.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)) (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))) (/.f64 (log.f64 x) n))
(-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (fma.f64 -1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (*.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))))) (/.f64 (log.f64 x) n))
(fma.f64 -1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (fma.f64 -1/24 (pow.f64 (/.f64 (log.f64 x) n) 4) (*.f64 (/.f64 (log.f64 x) n) (-.f64 (*.f64 (/.f64 (log.f64 x) n) -1/2) 1))))

localize51.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(pow.f64 x (*.f64 (/.f64 1 n) 3))
0.2b
(pow.f64 (+.f64 x 1) (/.f64 1 n))
✓0.2b
(*.f64 (/.f64 1 n) 3)
✓1.9b
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (cbrt.f64 (pow.f64 x (*.f64 (/.f64 1 n) 3))))
Compiler

Compiled 55 to 40 computations (27.3% saved)

series28.0ms (0.1%)

Counts
3 → 60
Calls

15 calls:

TimeVariablePointExpression
7.0ms
n
@inf
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (cbrt.f64 (pow.f64 x (*.f64 (/.f64 1 n) 3))))
4.0ms
n
@-inf
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (cbrt.f64 (pow.f64 x (*.f64 (/.f64 1 n) 3))))
4.0ms
n
@0
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (cbrt.f64 (pow.f64 x (*.f64 (/.f64 1 n) 3))))
2.0ms
x
@-inf
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (cbrt.f64 (pow.f64 x (*.f64 (/.f64 1 n) 3))))
2.0ms
x
@inf
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (cbrt.f64 (pow.f64 x (*.f64 (/.f64 1 n) 3))))

rewrite96.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
589×log-prod_binary64
576×prod-diff_binary64
340×fma-def_binary64
336×pow2_binary64
225×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01232
126928
2354328
Stop Event
1×node limit
Counts
3 → 171
Calls
Call 1
Inputs
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (cbrt.f64 (pow.f64 x (*.f64 (/.f64 1 n) 3))))
(*.f64 (/.f64 1 n) 3)
(pow.f64 x (*.f64 (/.f64 1 n) 3))
Outputs
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simplify69.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
536×associate-*l*_binary64
534×times-frac_binary64
460×associate-/l*_binary64
358×associate-/r*_binary64
316×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01952131
16341955
222731735
Stop Event
1×node limit
Counts
231 → 223
Calls
Call 1
Inputs
(-.f64 1 (pow.f64 (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n))) 1/3))
(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n))) 1/3))
(-.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)))) (pow.f64 (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n))) 1/3))
(-.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))))) (pow.f64 (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n))) 1/3))
(-.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (pow.f64 (exp.f64 (*.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n))) 1/3))
(-.f64 (+.f64 (/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x)) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))) (pow.f64 (exp.f64 (*.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n))) 1/3))
(-.f64 (+.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 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x)) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))))) (pow.f64 (exp.f64 (*.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n))) 1/3))
(-.f64 (+.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)) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))))) (pow.f64 (exp.f64 (*.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n))) 1/3))
(-.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (pow.f64 (exp.f64 (*.f64 3 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) 1/3))
(-.f64 (+.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (/.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (*.f64 n x))) (pow.f64 (exp.f64 (*.f64 3 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) 1/3))
(-.f64 (+.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (+.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)))) (pow.f64 (exp.f64 (*.f64 3 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) 1/3))
(-.f64 (+.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 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (+.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))))) (pow.f64 (exp.f64 (*.f64 3 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) 1/3))
(-.f64 (exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n)) (pow.f64 (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n))) 1/3))
(-.f64 (exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n)) (pow.f64 (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n))) 1/3))
(-.f64 (exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n)) (pow.f64 (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n))) 1/3))
(-.f64 (exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n)) (pow.f64 (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n))) 1/3))
(/.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 1/3 (/.f64 (-.f64 (*.f64 9/2 (pow.f64 (log.f64 x) 2)) (*.f64 3 (pow.f64 (log.f64 x) 2))) (pow.f64 n 2))) (/.f64 (log.f64 x) n)))
(-.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 1/3 (/.f64 (-.f64 (*.f64 9/2 (pow.f64 (log.f64 x) 2)) (*.f64 3 (pow.f64 (log.f64 x) 2))) (pow.f64 n 2))) (+.f64 (/.f64 (log.f64 x) n) (*.f64 1/3 (/.f64 (-.f64 (*.f64 9/2 (pow.f64 (log.f64 x) 3)) (+.f64 (*.f64 2 (*.f64 (-.f64 (*.f64 9/2 (pow.f64 (log.f64 x) 2)) (*.f64 3 (pow.f64 (log.f64 x) 2))) (log.f64 x))) (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 1/3 (/.f64 (-.f64 (*.f64 9/2 (pow.f64 (log.f64 x) 2)) (*.f64 3 (pow.f64 (log.f64 x) 2))) (pow.f64 n 2))) (+.f64 (/.f64 (log.f64 x) n) (+.f64 (*.f64 1/3 (/.f64 (-.f64 (*.f64 27/8 (pow.f64 (log.f64 x) 4)) (+.f64 (*.f64 (log.f64 x) (-.f64 (*.f64 9/2 (pow.f64 (log.f64 x) 3)) (+.f64 (*.f64 2 (*.f64 (-.f64 (*.f64 9/2 (pow.f64 (log.f64 x) 2)) (*.f64 3 (pow.f64 (log.f64 x) 2))) (log.f64 x))) (pow.f64 (log.f64 x) 3)))) (+.f64 (*.f64 (-.f64 (*.f64 9/2 (pow.f64 (log.f64 x) 3)) (+.f64 (*.f64 2 (*.f64 (-.f64 (*.f64 9/2 (pow.f64 (log.f64 x) 2)) (*.f64 3 (pow.f64 (log.f64 x) 2))) (log.f64 x))) (pow.f64 (log.f64 x) 3))) (log.f64 x)) (+.f64 (*.f64 (-.f64 (*.f64 9/2 (pow.f64 (log.f64 x) 2)) (*.f64 3 (pow.f64 (log.f64 x) 2))) (pow.f64 (log.f64 x) 2)) (*.f64 1/3 (pow.f64 (-.f64 (*.f64 9/2 (pow.f64 (log.f64 x) 2)) (*.f64 3 (pow.f64 (log.f64 x) 2))) 2)))))) (pow.f64 n 4))) (*.f64 1/3 (/.f64 (-.f64 (*.f64 9/2 (pow.f64 (log.f64 x) 3)) (+.f64 (*.f64 2 (*.f64 (-.f64 (*.f64 9/2 (pow.f64 (log.f64 x) 2)) (*.f64 3 (pow.f64 (log.f64 x) 2))) (log.f64 x))) (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 1/3 (/.f64 (-.f64 (*.f64 9/2 (pow.f64 (log.f64 x) 2)) (*.f64 3 (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 (log.f64 (+.f64 1 x))) (*.f64 -1 (log.f64 x))) n)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1/6 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (*.f64 1/3 (-.f64 (*.f64 -9/2 (pow.f64 (log.f64 x) 3)) (+.f64 (*.f64 -2 (*.f64 (-.f64 (*.f64 9/2 (pow.f64 (log.f64 x) 2)) (*.f64 3 (pow.f64 (log.f64 x) 2))) (log.f64 x))) (*.f64 -1 (pow.f64 (log.f64 x) 3)))))) (pow.f64 n 3))))) (*.f64 1/3 (/.f64 (-.f64 (*.f64 9/2 (pow.f64 (log.f64 x) 2)) (*.f64 3 (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 (log.f64 (+.f64 1 x))) (*.f64 -1 (log.f64 x))) n)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1/6 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (*.f64 1/3 (-.f64 (*.f64 -9/2 (pow.f64 (log.f64 x) 3)) (+.f64 (*.f64 -2 (*.f64 (-.f64 (*.f64 9/2 (pow.f64 (log.f64 x) 2)) (*.f64 3 (pow.f64 (log.f64 x) 2))) (log.f64 x))) (*.f64 -1 (pow.f64 (log.f64 x) 3)))))) (pow.f64 n 3)))))) (+.f64 (*.f64 1/3 (/.f64 (-.f64 (*.f64 9/2 (pow.f64 (log.f64 x) 2)) (*.f64 3 (pow.f64 (log.f64 x) 2))) (pow.f64 n 2))) (*.f64 1/3 (/.f64 (-.f64 (*.f64 27/8 (pow.f64 (log.f64 x) 4)) (+.f64 (*.f64 (-.f64 (*.f64 9/2 (pow.f64 (log.f64 x) 2)) (*.f64 3 (pow.f64 (log.f64 x) 2))) (pow.f64 (log.f64 x) 2)) (+.f64 (*.f64 1/3 (pow.f64 (-.f64 (*.f64 9/2 (pow.f64 (log.f64 x) 2)) (*.f64 3 (pow.f64 (log.f64 x) 2))) 2)) (*.f64 -2 (*.f64 (-.f64 (*.f64 -9/2 (pow.f64 (log.f64 x) 3)) (+.f64 (*.f64 -2 (*.f64 (-.f64 (*.f64 9/2 (pow.f64 (log.f64 x) 2)) (*.f64 3 (pow.f64 (log.f64 x) 2))) (log.f64 x))) (*.f64 -1 (pow.f64 (log.f64 x) 3)))) (log.f64 x)))))) (pow.f64 n 4)))))
(/.f64 3 n)
(/.f64 3 n)
(/.f64 3 n)
(/.f64 3 n)
(/.f64 3 n)
(/.f64 3 n)
(/.f64 3 n)
(/.f64 3 n)
(/.f64 3 n)
(/.f64 3 n)
(/.f64 3 n)
(/.f64 3 n)
(exp.f64 (*.f64 3 (/.f64 (log.f64 x) n)))
(exp.f64 (*.f64 3 (/.f64 (log.f64 x) n)))
(exp.f64 (*.f64 3 (/.f64 (log.f64 x) n)))
(exp.f64 (*.f64 3 (/.f64 (log.f64 x) n)))
(exp.f64 (*.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n)))
(exp.f64 (*.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n)))
(exp.f64 (*.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n)))
(exp.f64 (*.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n)))
(exp.f64 (*.f64 3 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))
(exp.f64 (*.f64 3 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))
(exp.f64 (*.f64 3 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))
(exp.f64 (*.f64 3 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))
(exp.f64 (*.f64 3 (/.f64 (log.f64 x) n)))
(exp.f64 (*.f64 3 (/.f64 (log.f64 x) n)))
(exp.f64 (*.f64 3 (/.f64 (log.f64 x) n)))
(exp.f64 (*.f64 3 (/.f64 (log.f64 x) n)))
1
(+.f64 1 (*.f64 3 (/.f64 (log.f64 x) n)))
(+.f64 1 (+.f64 (*.f64 9/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 3 (/.f64 (log.f64 x) n))))
(+.f64 1 (+.f64 (*.f64 9/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (+.f64 (*.f64 3 (/.f64 (log.f64 x) n)) (*.f64 9/2 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))))
1
(+.f64 1 (*.f64 3 (/.f64 (log.f64 x) n)))
(+.f64 1 (+.f64 (*.f64 9/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 3 (/.f64 (log.f64 x) n))))
(+.f64 1 (+.f64 (*.f64 9/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (+.f64 (*.f64 3 (/.f64 (log.f64 x) n)) (*.f64 9/2 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))))
Outputs
(-.f64 1 (pow.f64 (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n))) 1/3))
(-.f64 1 (cbrt.f64 (pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n))))
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n))) 1/3))
(-.f64 (+.f64 1 (/.f64 x n)) (cbrt.f64 (pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n))))
(+.f64 1 (-.f64 (/.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)))) (pow.f64 (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n))) 1/3))
(+.f64 (/.f64 x n) (-.f64 (+.f64 1 (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) (cbrt.f64 (pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n)))))
(+.f64 (/.f64 x n) (-.f64 (fma.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (*.f64 x x) 1) (cbrt.f64 (pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n)))))
(+.f64 (/.f64 x n) (-.f64 (fma.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (*.f64 x x) 1) (exp.f64 (/.f64 (log.f64 x) n))))
(-.f64 (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2)))) (pow.f64 x 3)) (+.f64 (/.f64 x n) (+.f64 1 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2))))) (pow.f64 (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n))) 1/3))
(-.f64 (fma.f64 (+.f64 (/.f64 1/3 n) (-.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 1/2 (*.f64 n n)))) (pow.f64 x 3) (+.f64 (/.f64 x n) (+.f64 1 (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))))) (cbrt.f64 (pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n))))
(fma.f64 (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n)))) (pow.f64 x 3) (+.f64 (/.f64 x n) (-.f64 (fma.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (*.f64 x x) 1) (cbrt.f64 (pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n))))))
(+.f64 (fma.f64 (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 (/.f64 -1/2 n) n))) (pow.f64 x 3) (/.f64 x n)) (-.f64 (fma.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (*.f64 x x) 1) (exp.f64 (/.f64 (log.f64 x) n))))
(-.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (pow.f64 (exp.f64 (*.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n))) 1/3))
(-.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (cbrt.f64 (pow.f64 (exp.f64 -3) (/.f64 (neg.f64 (log.f64 x)) n))))
(-.f64 (exp.f64 (/.f64 (log.f64 x) n)) (cbrt.f64 (pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n))))
(-.f64 (exp.f64 (/.f64 (log.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 (/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x)) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))) (pow.f64 (exp.f64 (*.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n))) 1/3))
(+.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))) (cbrt.f64 (pow.f64 (exp.f64 -3) (/.f64 (neg.f64 (log.f64 x)) n)))))
(+.f64 (-.f64 (exp.f64 (/.f64 (log.f64 x) n)) (cbrt.f64 (pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n)))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)))
(+.f64 (-.f64 (exp.f64 (/.f64 (log.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)))
(-.f64 (+.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 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x)) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))))) (pow.f64 (exp.f64 (*.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n))) 1/3))
(+.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))) (cbrt.f64 (pow.f64 (exp.f64 -3) (/.f64 (neg.f64 (log.f64 x)) n))))))
(+.f64 (+.f64 (-.f64 (exp.f64 (/.f64 (log.f64 x) n)) (cbrt.f64 (pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n)))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))) (*.f64 (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x)))
(+.f64 (+.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))) (fma.f64 (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (neg.f64 (exp.f64 (/.f64 (log.f64 x) n)))))
(-.f64 (+.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)) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))))) (pow.f64 (exp.f64 (*.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n))) 1/3))
(+.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 (+.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.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 1/3 n) (-.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 1/2 (*.f64 n n))))))) (cbrt.f64 (pow.f64 (exp.f64 -3) (/.f64 (neg.f64 (log.f64 x)) n)))))
(+.f64 (*.f64 (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x)) (+.f64 (+.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))) (-.f64 (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3)) (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n))))) (cbrt.f64 (pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n))))))
(+.f64 (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x x)) (+.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (/.f64 (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 (/.f64 -1/2 n) n))) x))) (+.f64 (-.f64 (exp.f64 (/.f64 (log.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))))
(-.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (pow.f64 (exp.f64 (*.f64 3 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) 1/3))
(-.f64 (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) (cbrt.f64 (pow.f64 (exp.f64 3) (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n))))
(-.f64 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) 3)))
(-.f64 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)))
(-.f64 (+.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (/.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (*.f64 n x))) (pow.f64 (exp.f64 (*.f64 3 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) 1/3))
(-.f64 (+.f64 (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) (/.f64 (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) (*.f64 x n))) (cbrt.f64 (pow.f64 (exp.f64 3) (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n))))
(+.f64 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) (-.f64 (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) (*.f64 x n)) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) 3))))
(+.f64 (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) (*.f64 x n)) (-.f64 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n))))
(-.f64 (+.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (+.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)))) (pow.f64 (exp.f64 (*.f64 3 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) 1/3))
(+.f64 (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) (*.f64 x n)) (/.f64 (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) (/.f64 (*.f64 x x) (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n))))) (cbrt.f64 (pow.f64 (exp.f64 3) (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)))))
(+.f64 (+.f64 (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) (*.f64 x n)) (*.f64 (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) (*.f64 x x)) (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)))) (-.f64 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) 3))))
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(-.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 (log.f64 (+.f64 1 x))) (*.f64 -1 (log.f64 x))) n)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1/6 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (*.f64 1/3 (-.f64 (*.f64 -9/2 (pow.f64 (log.f64 x) 3)) (+.f64 (*.f64 -2 (*.f64 (-.f64 (*.f64 9/2 (pow.f64 (log.f64 x) 2)) (*.f64 3 (pow.f64 (log.f64 x) 2))) (log.f64 x))) (*.f64 -1 (pow.f64 (log.f64 x) 3)))))) (pow.f64 n 3)))))) (+.f64 (*.f64 1/3 (/.f64 (-.f64 (*.f64 9/2 (pow.f64 (log.f64 x) 2)) (*.f64 3 (pow.f64 (log.f64 x) 2))) (pow.f64 n 2))) (*.f64 1/3 (/.f64 (-.f64 (*.f64 27/8 (pow.f64 (log.f64 x) 4)) (+.f64 (*.f64 (-.f64 (*.f64 9/2 (pow.f64 (log.f64 x) 2)) (*.f64 3 (pow.f64 (log.f64 x) 2))) (pow.f64 (log.f64 x) 2)) (+.f64 (*.f64 1/3 (pow.f64 (-.f64 (*.f64 9/2 (pow.f64 (log.f64 x) 2)) (*.f64 3 (pow.f64 (log.f64 x) 2))) 2)) (*.f64 -2 (*.f64 (-.f64 (*.f64 -9/2 (pow.f64 (log.f64 x) 3)) (+.f64 (*.f64 -2 (*.f64 (-.f64 (*.f64 9/2 (pow.f64 (log.f64 x) 2)) (*.f64 3 (pow.f64 (log.f64 x) 2))) (log.f64 x))) (*.f64 -1 (pow.f64 (log.f64 x) 3)))) (log.f64 x)))))) (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)) (fma.f64 -1 (/.f64 (*.f64 -1 (-.f64 (log1p.f64 x) (log.f64 x))) n) (neg.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (log1p.f64 x) 3) -1/6) (*.f64 -1/3 (-.f64 (*.f64 (pow.f64 (log.f64 x) 3) -9/2) (fma.f64 -2 (*.f64 (log.f64 x) (*.f64 (pow.f64 (log.f64 x) 2) 3/2)) (neg.f64 (pow.f64 (log.f64 x) 3)))))) (pow.f64 n 3)))))) (*.f64 1/3 (+.f64 (/.f64 (*.f64 (pow.f64 (log.f64 x) 2) 3/2) (*.f64 n n)) (/.f64 (-.f64 (*.f64 27/8 (pow.f64 (log.f64 x) 4)) (fma.f64 (*.f64 (pow.f64 (log.f64 x) 2) 3/2) (pow.f64 (log.f64 x) 2) (fma.f64 1/3 (pow.f64 (*.f64 (pow.f64 (log.f64 x) 2) 3/2) 2) (*.f64 -2 (*.f64 (log.f64 x) (-.f64 (*.f64 (pow.f64 (log.f64 x) 3) -9/2) (fma.f64 -2 (*.f64 (log.f64 x) (*.f64 (pow.f64 (log.f64 x) 2) 3/2)) (neg.f64 (pow.f64 (log.f64 x) 3))))))))) (pow.f64 n 4)))))
(+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (-.f64 (-.f64 (*.f64 1/24 (/.f64 (pow.f64 (log1p.f64 x) 4) (pow.f64 n 4))) (/.f64 (fma.f64 -1 (log1p.f64 x) (log.f64 x)) n)) (/.f64 (fma.f64 (pow.f64 (log1p.f64 x) 3) -1/6 (*.f64 (-.f64 (*.f64 (pow.f64 (log.f64 x) 3) -9/2) (-.f64 (*.f64 (*.f64 (pow.f64 (log.f64 x) 3) 3/2) -2) (pow.f64 (log.f64 x) 3))) -1/3)) (pow.f64 n 3)))) (*.f64 -1/3 (+.f64 (/.f64 (pow.f64 (log.f64 x) 2) (/.f64 (*.f64 n n) 3/2)) (/.f64 (-.f64 (*.f64 27/8 (pow.f64 (log.f64 x) 4)) (+.f64 (fma.f64 1/3 (*.f64 (pow.f64 (log.f64 x) 4) 9/4) (*.f64 (pow.f64 (log.f64 x) 4) 3/2)) (*.f64 (-.f64 (*.f64 (pow.f64 (log.f64 x) 3) -9/2) (-.f64 (*.f64 (*.f64 (pow.f64 (log.f64 x) 3) 3/2) -2) (pow.f64 (log.f64 x) 3))) (*.f64 (log.f64 x) -2)))) (pow.f64 n 4)))))
(fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (-.f64 (-.f64 (fma.f64 1/24 (/.f64 (pow.f64 (log1p.f64 x) 4) (pow.f64 n 4)) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (/.f64 (fma.f64 (pow.f64 (log1p.f64 x) 3) -1/6 (*.f64 1/3 (-.f64 (*.f64 (pow.f64 (log.f64 x) 3) 3/2) (pow.f64 (log.f64 x) 3)))) (pow.f64 n 3))) (fma.f64 1/3 (/.f64 (-.f64 (*.f64 (pow.f64 (log.f64 x) 4) 15/8) (fma.f64 -2 (*.f64 (log.f64 x) (+.f64 (*.f64 (pow.f64 (log.f64 x) 3) -7/2) (*.f64 (pow.f64 (log.f64 x) 3) 3))) (*.f64 (pow.f64 (log.f64 x) 4) 3/4))) (pow.f64 n 4)) (/.f64 (*.f64 (pow.f64 (log.f64 x) 2) 1/2) (*.f64 n n)))))
(/.f64 3 n)
(/.f64 3 n)
(/.f64 3 n)
(/.f64 3 n)
(/.f64 3 n)
(/.f64 3 n)
(/.f64 3 n)
(/.f64 3 n)
(/.f64 3 n)
(/.f64 3 n)
(/.f64 3 n)
(/.f64 3 n)
(exp.f64 (*.f64 3 (/.f64 (log.f64 x) n)))
(pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n))
(pow.f64 (exp.f64 (/.f64 (log.f64 x) n)) 3)
(exp.f64 (*.f64 3 (/.f64 (log.f64 x) n)))
(pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n))
(pow.f64 (exp.f64 (/.f64 (log.f64 x) n)) 3)
(exp.f64 (*.f64 3 (/.f64 (log.f64 x) n)))
(pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n))
(pow.f64 (exp.f64 (/.f64 (log.f64 x) n)) 3)
(exp.f64 (*.f64 3 (/.f64 (log.f64 x) n)))
(pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n))
(pow.f64 (exp.f64 (/.f64 (log.f64 x) n)) 3)
(exp.f64 (*.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n)))
(pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n))
(pow.f64 (exp.f64 (/.f64 (log.f64 x) n)) 3)
(exp.f64 (*.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n)))
(pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n))
(pow.f64 (exp.f64 (/.f64 (log.f64 x) n)) 3)
(exp.f64 (*.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n)))
(pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n))
(pow.f64 (exp.f64 (/.f64 (log.f64 x) n)) 3)
(exp.f64 (*.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n)))
(pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n))
(pow.f64 (exp.f64 (/.f64 (log.f64 x) n)) 3)
(exp.f64 (*.f64 3 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))
(pow.f64 (exp.f64 3) (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n))
(pow.f64 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) 3)
(exp.f64 (*.f64 3 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))
(pow.f64 (exp.f64 3) (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n))
(pow.f64 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) 3)
(exp.f64 (*.f64 3 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))
(pow.f64 (exp.f64 3) (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n))
(pow.f64 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) 3)
(exp.f64 (*.f64 3 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))
(pow.f64 (exp.f64 3) (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n))
(pow.f64 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) 3)
(exp.f64 (*.f64 3 (/.f64 (log.f64 x) n)))
(pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n))
(pow.f64 (exp.f64 (/.f64 (log.f64 x) n)) 3)
(exp.f64 (*.f64 3 (/.f64 (log.f64 x) n)))
(pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n))
(pow.f64 (exp.f64 (/.f64 (log.f64 x) n)) 3)
(exp.f64 (*.f64 3 (/.f64 (log.f64 x) n)))
(pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n))
(pow.f64 (exp.f64 (/.f64 (log.f64 x) n)) 3)
(exp.f64 (*.f64 3 (/.f64 (log.f64 x) n)))
(pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n))
(pow.f64 (exp.f64 (/.f64 (log.f64 x) n)) 3)
1
(+.f64 1 (*.f64 3 (/.f64 (log.f64 x) n)))
(fma.f64 3 (/.f64 (log.f64 x) n) 1)
(+.f64 1 (+.f64 (*.f64 9/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 3 (/.f64 (log.f64 x) n))))
(+.f64 1 (fma.f64 9/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (*.f64 3 (/.f64 (log.f64 x) n))))
(+.f64 (fma.f64 3 (/.f64 (log.f64 x) n) 1) (/.f64 (pow.f64 (log.f64 x) 2) (/.f64 (*.f64 n n) 9/2)))
(+.f64 (fma.f64 3 (/.f64 (log.f64 x) n) 1) (*.f64 (/.f64 (/.f64 9/2 n) n) (pow.f64 (log.f64 x) 2)))
(+.f64 1 (+.f64 (*.f64 9/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (+.f64 (*.f64 3 (/.f64 (log.f64 x) n)) (*.f64 9/2 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))))
(+.f64 1 (fma.f64 9/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (fma.f64 3 (/.f64 (log.f64 x) n) (*.f64 9/2 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))))
(+.f64 1 (fma.f64 9/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (fma.f64 3 (/.f64 (log.f64 x) n) (/.f64 9/2 (/.f64 (pow.f64 n 3) (pow.f64 (log.f64 x) 3))))))
(+.f64 1 (fma.f64 9/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (fma.f64 9/2 (pow.f64 (/.f64 (log.f64 x) n) 3) (*.f64 3 (/.f64 (log.f64 x) n)))))
1
(+.f64 1 (*.f64 3 (/.f64 (log.f64 x) n)))
(fma.f64 3 (/.f64 (log.f64 x) n) 1)
(+.f64 1 (+.f64 (*.f64 9/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 3 (/.f64 (log.f64 x) n))))
(+.f64 1 (fma.f64 9/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (*.f64 3 (/.f64 (log.f64 x) n))))
(+.f64 (fma.f64 3 (/.f64 (log.f64 x) n) 1) (/.f64 (pow.f64 (log.f64 x) 2) (/.f64 (*.f64 n n) 9/2)))
(+.f64 (fma.f64 3 (/.f64 (log.f64 x) n) 1) (*.f64 (/.f64 (/.f64 9/2 n) n) (pow.f64 (log.f64 x) 2)))
(+.f64 1 (+.f64 (*.f64 9/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (+.f64 (*.f64 3 (/.f64 (log.f64 x) n)) (*.f64 9/2 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))))
(+.f64 1 (fma.f64 9/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (fma.f64 3 (/.f64 (log.f64 x) n) (*.f64 9/2 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))))
(+.f64 1 (fma.f64 9/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (fma.f64 3 (/.f64 (log.f64 x) n) (/.f64 9/2 (/.f64 (pow.f64 n 3) (pow.f64 (log.f64 x) 3))))))
(+.f64 1 (fma.f64 9/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (fma.f64 9/2 (pow.f64 (/.f64 (log.f64 x) n) 3) (*.f64 3 (/.f64 (log.f64 x) n)))))

localize29.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.5b
(/.f64 1/2 (*.f64 n n))
✓4.7b
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
✓6.6b
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x x))
✓16.1b
(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)))
Compiler

Compiled 89 to 27 computations (69.7% saved)

series25.0ms (0.1%)

Counts
4 → 84
Calls

21 calls:

TimeVariablePointExpression
5.0ms
x
@-inf
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
4.0ms
x
@inf
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
2.0ms
n
@0
(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)))
2.0ms
x
@0
(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)))
2.0ms
n
@inf
(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)))

rewrite123.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
449×fma-def_binary64
415×log-div_binary64
332×expm1-udef_binary64
332×log1p-udef_binary64
287×fma-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01778
137972
2554372
Stop Event
1×node limit
Counts
4 → 123
Calls
Call 1
Inputs
(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 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x x))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
(/.f64 1/2 (*.f64 n n))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) (*.f64 (pow.f64 x (/.f64 1 n)) (*.f64 (pow.f64 x -2) (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x (/.f64 1 n)) (*.f64 (pow.f64 x -2) (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)))) (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (pow.f64 x (/.f64 1 n)) (*.f64 (pow.f64 x -2) (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)))) 1) (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (pow.f64 x (/.f64 1 n)) (*.f64 (pow.f64 x -2) (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n))) (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 x (/.f64 1 n)) (*.f64 (pow.f64 x -2) (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n))) (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))) 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (pow.f64 n -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (pow.f64 n -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (pow.f64 n -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (/.f64 1 (*.f64 n (neg.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/2 (pow.f64 n -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 n -2))) (cbrt.f64 (/.f64 1/4 (pow.f64 n 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/4 (pow.f64 n 4))) (cbrt.f64 (*.f64 1/2 (pow.f64 n -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 1/2) n) (/.f64 (sqrt.f64 1/2) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 n -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 n) (/.f64 1 n))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/2 (pow.f64 n -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 n -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 1/2) n) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/8 (pow.f64 (pow.f64 n -2) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 n (/.f64 1/2 n)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/4 (pow.f64 n 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/2) (pow.f64 n -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (pow.f64 n -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 1/8 (pow.f64 (pow.f64 n -2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/2 (pow.f64 n -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/2 (pow.f64 n -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/2 (pow.f64 n -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/2 (pow.f64 n -2))) 1))))))

simplify113.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
936×times-frac_binary64
638×fma-def_binary64
519×associate-/r*_binary64
501×associate-/l*_binary64
463×fma-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01542613
14592582
215962470
369792453
Stop Event
1×node limit
Counts
207 → 175
Calls
Call 1
Inputs
(/.f64 (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2))
(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)) (/.f64 (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)))
(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)) (/.f64 (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)))
(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)) (/.f64 (*.f64 (exp.f64 (/.f64 (log.f64 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 (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 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x)))
(/.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 (*.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 (*.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 1/2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 (pow.f64 n 2) (pow.f64 x 2))))
(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)) (+.f64 (*.f64 -1/2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n (pow.f64 x 2)))) (*.f64 1/2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 (pow.f64 n 2) (pow.f64 x 2))))))
(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)) (+.f64 (*.f64 -1/2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n (pow.f64 x 2)))) (*.f64 1/2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 (pow.f64 n 2) (pow.f64 x 2))))))
(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)) (+.f64 (*.f64 -1/2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n (pow.f64 x 2)))) (*.f64 1/2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 (pow.f64 n 2) (pow.f64 x 2))))))
(/.f64 (-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) n)
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) (pow.f64 x 2)))) (+.f64 (/.f64 1/2 (*.f64 (pow.f64 n 2) (pow.f64 x 2))) (+.f64 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) x)) (/.f64 1 (*.f64 n x))))) (/.f64 1/2 (*.f64 n (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 (pow.f64 n 3) x))) (+.f64 (*.f64 -1/2 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) (pow.f64 x 2)))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 n 2) (pow.f64 x 2)))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 (pow.f64 n 3) (pow.f64 x 2)))) (+.f64 (*.f64 1/2 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 3) (pow.f64 x 2)))) (+.f64 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) x)) (/.f64 1 (*.f64 n x)))))))) (/.f64 1/2 (*.f64 n (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 (pow.f64 n 3) x))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 n 2) (pow.f64 x 2)))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 (pow.f64 n 3) (pow.f64 x 2)))) (+.f64 (*.f64 -1/12 (/.f64 (pow.f64 (log.f64 x) 3) (*.f64 (pow.f64 n 4) (pow.f64 x 2)))) (+.f64 (*.f64 1/2 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 3) (pow.f64 x 2)))) (+.f64 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) x)) (+.f64 (/.f64 1 (*.f64 n x)) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 (pow.f64 n 4) (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) (pow.f64 x 2)))) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (*.f64 (pow.f64 n 4) x)))))))))))) (/.f64 1/2 (*.f64 n (pow.f64 x 2))))
(*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)) n))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)) n)) (+.f64 (*.f64 -1/2 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) (pow.f64 x 2)))) (+.f64 (/.f64 1/2 (*.f64 (pow.f64 n 2) (pow.f64 x 2))) (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) x)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 x 2))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) x)) (*.f64 -1/2 (/.f64 (log.f64 x) (pow.f64 x 2))))) (pow.f64 n 3))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)) n)) (+.f64 (*.f64 -1/2 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) (pow.f64 x 2)))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 n 2) (pow.f64 x 2)))) (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) x))))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 x 2))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) x)) (*.f64 -1/2 (/.f64 (log.f64 x) (pow.f64 x 2))))) (pow.f64 n 3))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)) n)) (+.f64 (*.f64 -1/2 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) (pow.f64 x 2)))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 n 2) (pow.f64 x 2)))) (+.f64 (*.f64 -1/12 (/.f64 (pow.f64 (log.f64 x) 3) (*.f64 (pow.f64 n 4) (pow.f64 x 2)))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (*.f64 (pow.f64 n 4) x))) (+.f64 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) x)) (*.f64 1/4 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 (pow.f64 n 4) (pow.f64 x 2)))))))))))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 2))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 2))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 2))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 2))
(/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (pow.f64 x 2))
(/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (pow.f64 x 2))
(/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (pow.f64 x 2))
(/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (pow.f64 x 2))
(/.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (pow.f64 x 2))
(/.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (pow.f64 x 2))
(/.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (pow.f64 x 2))
(/.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (pow.f64 x 2))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 2))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 2))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 2))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 (log.f64 x) (*.f64 n (pow.f64 x 2))))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 (pow.f64 n 2) (pow.f64 x 2)))) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 (log.f64 x) (*.f64 n (pow.f64 x 2)))))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 (pow.f64 n 2) (pow.f64 x 2)))) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 (log.f64 x) (*.f64 n (pow.f64 x 2))) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (*.f64 (pow.f64 n 3) (pow.f64 x 2)))))))
(/.f64 1 (pow.f64 x 2))
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 (log.f64 x) (*.f64 n (pow.f64 x 2))))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 (pow.f64 n 2) (pow.f64 x 2)))) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 (log.f64 x) (*.f64 n (pow.f64 x 2)))))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 (pow.f64 n 2) (pow.f64 x 2)))) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 (log.f64 x) (*.f64 n (pow.f64 x 2))) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (*.f64 (pow.f64 n 3) (pow.f64 x 2)))))))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
(/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x))
(/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x))
(/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x))
(/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x))
(/.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (*.f64 n x))
(/.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (*.f64 n x))
(/.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (*.f64 n x))
(/.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 x) n)) (*.f64 n x))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
(/.f64 1 (*.f64 n x))
(+.f64 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) x)) (/.f64 1 (*.f64 n x)))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 (pow.f64 n 3) x))) (+.f64 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) x)) (/.f64 1 (*.f64 n x))))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 (pow.f64 n 3) x))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (*.f64 (pow.f64 n 4) x))) (+.f64 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) x)) (/.f64 1 (*.f64 n x)))))
(/.f64 1 (*.f64 n x))
(+.f64 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) x)) (/.f64 1 (*.f64 n x)))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 (pow.f64 n 3) x))) (+.f64 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) x)) (/.f64 1 (*.f64 n x))))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 (pow.f64 n 3) x))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (*.f64 (pow.f64 n 4) x))) (+.f64 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) x)) (/.f64 1 (*.f64 n x)))))
(/.f64 1/2 (pow.f64 n 2))
(/.f64 1/2 (pow.f64 n 2))
(/.f64 1/2 (pow.f64 n 2))
(/.f64 1/2 (pow.f64 n 2))
(/.f64 1/2 (pow.f64 n 2))
(/.f64 1/2 (pow.f64 n 2))
(/.f64 1/2 (pow.f64 n 2))
(/.f64 1/2 (pow.f64 n 2))
(/.f64 1/2 (pow.f64 n 2))
(/.f64 1/2 (pow.f64 n 2))
(/.f64 1/2 (pow.f64 n 2))
(/.f64 1/2 (pow.f64 n 2))
Outputs
(/.f64 (*.f64 (exp.f64 (/.f64 (log.f64 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 (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 x)) (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)))
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(fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 (*.f64 n n) (*.f64 x x))) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 (log.f64 x) (*.f64 n (*.f64 x x))) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (*.f64 (*.f64 x x) (pow.f64 n 3)))))))
(+.f64 (fma.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (*.f64 (*.f64 x x) (pow.f64 n 3))) (/.f64 (log.f64 x) (*.f64 x (*.f64 x n)))) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n (*.f64 x (*.f64 x n)))) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 1 (*.f64 x x)) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 x (*.f64 x (*.f64 n n)))) (fma.f64 1/6 (/.f64 (pow.f64 (/.f64 (log.f64 x) n) 3) (*.f64 x x)) (/.f64 (log.f64 x) (*.f64 x (*.f64 x n))))))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 (log.f64 x) (*.f64 n (pow.f64 x 2))))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 (log.f64 x) (*.f64 n (*.f64 x x))))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 (log.f64 x) (*.f64 x (*.f64 x n))))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 (pow.f64 n 2) (pow.f64 x 2)))) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 (log.f64 x) (*.f64 n (pow.f64 x 2)))))
(fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 (*.f64 n n) (*.f64 x x))) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 (log.f64 x) (*.f64 n (*.f64 x x)))))
(+.f64 (/.f64 (log.f64 x) (*.f64 x (*.f64 x n))) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n (*.f64 x (*.f64 x n)))) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 (log.f64 x) (*.f64 x (*.f64 x n))) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 x (*.f64 x (*.f64 n n)))) (/.f64 1 (*.f64 x x))))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 (pow.f64 n 2) (pow.f64 x 2)))) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 (log.f64 x) (*.f64 n (pow.f64 x 2))) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (*.f64 (pow.f64 n 3) (pow.f64 x 2)))))))
(fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 (*.f64 n n) (*.f64 x x))) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 (log.f64 x) (*.f64 n (*.f64 x x))) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (*.f64 (*.f64 x x) (pow.f64 n 3)))))))
(+.f64 (fma.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (*.f64 (*.f64 x x) (pow.f64 n 3))) (/.f64 (log.f64 x) (*.f64 x (*.f64 x n)))) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n (*.f64 x (*.f64 x n)))) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 1 (*.f64 x x)) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 x (*.f64 x (*.f64 n n)))) (fma.f64 1/6 (/.f64 (pow.f64 (/.f64 (log.f64 x) n) 3) (*.f64 x x)) (/.f64 (log.f64 x) (*.f64 x (*.f64 x n))))))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
(/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 x n))
(/.f64 (exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)) (*.f64 x n))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
(/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 x n))
(/.f64 (exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)) (*.f64 x n))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
(/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 x n))
(/.f64 (exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)) (*.f64 x n))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
(/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 x n))
(/.f64 (exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)) (*.f64 x n))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.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 (neg.f64 (neg.f64 (log.f64 x))) n)) (*.f64 x n))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.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 (neg.f64 (neg.f64 (log.f64 x))) n)) (*.f64 x n))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.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 (neg.f64 (neg.f64 (log.f64 x))) n)) (*.f64 x n))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.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 (neg.f64 (neg.f64 (log.f64 x))) n)) (*.f64 x n))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
(/.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (*.f64 n x))
(/.f64 (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) (*.f64 x n))
(/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) (*.f64 x n))
(/.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (*.f64 n x))
(/.f64 (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) (*.f64 x n))
(/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) (*.f64 x n))
(/.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (*.f64 n x))
(/.f64 (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) (*.f64 x n))
(/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) (*.f64 x n))
(/.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (*.f64 n x))
(/.f64 (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) (*.f64 x n))
(/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) (*.f64 x n))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
(/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 x n))
(/.f64 (exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)) (*.f64 x n))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
(/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 x n))
(/.f64 (exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)) (*.f64 x n))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
(/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 x n))
(/.f64 (exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)) (*.f64 x n))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
(/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 x n))
(/.f64 (exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)) (*.f64 x n))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 x n))
(/.f64 (/.f64 1 x) n)
(+.f64 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) x)) (/.f64 1 (*.f64 n x)))
(+.f64 (/.f64 (log.f64 x) (*.f64 x (*.f64 n n))) (/.f64 1 (*.f64 x n)))
(+.f64 (/.f64 (/.f64 (log.f64 x) (*.f64 n n)) x) (/.f64 1 (*.f64 x n)))
(+.f64 (/.f64 (/.f64 (log.f64 x) n) (*.f64 x n)) (/.f64 (/.f64 1 x) n))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 (pow.f64 n 3) x))) (+.f64 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) x)) (/.f64 1 (*.f64 n x))))
(fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 x (pow.f64 n 3))) (+.f64 (/.f64 (log.f64 x) (*.f64 x (*.f64 n n))) (/.f64 1 (*.f64 x n))))
(fma.f64 1/2 (/.f64 (/.f64 (pow.f64 (log.f64 x) 2) x) (pow.f64 n 3)) (+.f64 (/.f64 (/.f64 (log.f64 x) (*.f64 n n)) x) (/.f64 1 (*.f64 x n))))
(+.f64 (/.f64 (/.f64 (log.f64 x) n) (*.f64 x n)) (fma.f64 1/2 (/.f64 (/.f64 (pow.f64 (log.f64 x) 2) x) (pow.f64 n 3)) (/.f64 (/.f64 1 x) n)))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 (pow.f64 n 3) x))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (*.f64 (pow.f64 n 4) x))) (+.f64 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) x)) (/.f64 1 (*.f64 n x)))))
(fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 x (pow.f64 n 3))) (fma.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (*.f64 x (pow.f64 n 4))) (+.f64 (/.f64 (log.f64 x) (*.f64 x (*.f64 n n))) (/.f64 1 (*.f64 x n)))))
(fma.f64 1/2 (/.f64 (/.f64 (pow.f64 (log.f64 x) 2) x) (pow.f64 n 3)) (fma.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (*.f64 x (pow.f64 n 4))) (+.f64 (/.f64 (/.f64 (log.f64 x) (*.f64 n n)) x) (/.f64 1 (*.f64 x n)))))
(+.f64 (/.f64 (/.f64 1 x) n) (fma.f64 1/2 (/.f64 (/.f64 (pow.f64 (log.f64 x) 2) x) (pow.f64 n 3)) (fma.f64 (/.f64 1/6 x) (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 4)) (/.f64 (/.f64 (log.f64 x) n) (*.f64 x n)))))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 x n))
(/.f64 (/.f64 1 x) n)
(+.f64 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) x)) (/.f64 1 (*.f64 n x)))
(+.f64 (/.f64 (log.f64 x) (*.f64 x (*.f64 n n))) (/.f64 1 (*.f64 x n)))
(+.f64 (/.f64 (/.f64 (log.f64 x) (*.f64 n n)) x) (/.f64 1 (*.f64 x n)))
(+.f64 (/.f64 (/.f64 (log.f64 x) n) (*.f64 x n)) (/.f64 (/.f64 1 x) n))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 (pow.f64 n 3) x))) (+.f64 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) x)) (/.f64 1 (*.f64 n x))))
(fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 x (pow.f64 n 3))) (+.f64 (/.f64 (log.f64 x) (*.f64 x (*.f64 n n))) (/.f64 1 (*.f64 x n))))
(fma.f64 1/2 (/.f64 (/.f64 (pow.f64 (log.f64 x) 2) x) (pow.f64 n 3)) (+.f64 (/.f64 (/.f64 (log.f64 x) (*.f64 n n)) x) (/.f64 1 (*.f64 x n))))
(+.f64 (/.f64 (/.f64 (log.f64 x) n) (*.f64 x n)) (fma.f64 1/2 (/.f64 (/.f64 (pow.f64 (log.f64 x) 2) x) (pow.f64 n 3)) (/.f64 (/.f64 1 x) n)))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 (pow.f64 n 3) x))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (*.f64 (pow.f64 n 4) x))) (+.f64 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) x)) (/.f64 1 (*.f64 n x)))))
(fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 x (pow.f64 n 3))) (fma.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (*.f64 x (pow.f64 n 4))) (+.f64 (/.f64 (log.f64 x) (*.f64 x (*.f64 n n))) (/.f64 1 (*.f64 x n)))))
(fma.f64 1/2 (/.f64 (/.f64 (pow.f64 (log.f64 x) 2) x) (pow.f64 n 3)) (fma.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (*.f64 x (pow.f64 n 4))) (+.f64 (/.f64 (/.f64 (log.f64 x) (*.f64 n n)) x) (/.f64 1 (*.f64 x n)))))
(+.f64 (/.f64 (/.f64 1 x) n) (fma.f64 1/2 (/.f64 (/.f64 (pow.f64 (log.f64 x) 2) x) (pow.f64 n 3)) (fma.f64 (/.f64 1/6 x) (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 4)) (/.f64 (/.f64 (log.f64 x) n) (*.f64 x n)))))
(/.f64 1/2 (pow.f64 n 2))
(/.f64 1/2 (*.f64 n n))
(/.f64 1/2 (pow.f64 n 2))
(/.f64 1/2 (*.f64 n n))
(/.f64 1/2 (pow.f64 n 2))
(/.f64 1/2 (*.f64 n n))
(/.f64 1/2 (pow.f64 n 2))
(/.f64 1/2 (*.f64 n n))
(/.f64 1/2 (pow.f64 n 2))
(/.f64 1/2 (*.f64 n n))
(/.f64 1/2 (pow.f64 n 2))
(/.f64 1/2 (*.f64 n n))
(/.f64 1/2 (pow.f64 n 2))
(/.f64 1/2 (*.f64 n n))
(/.f64 1/2 (pow.f64 n 2))
(/.f64 1/2 (*.f64 n n))
(/.f64 1/2 (pow.f64 n 2))
(/.f64 1/2 (*.f64 n n))
(/.f64 1/2 (pow.f64 n 2))
(/.f64 1/2 (*.f64 n n))
(/.f64 1/2 (pow.f64 n 2))
(/.f64 1/2 (*.f64 n n))
(/.f64 1/2 (pow.f64 n 2))
(/.f64 1/2 (*.f64 n n))

localize34.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(pow.f64 x (*.f64 2 (/.f64 1 n)))
✓0.1b
(/.f64 (log1p.f64 x) n)
✓0.7b
(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (pow.f64 x (*.f64 2 (/.f64 1 n)))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
✓3.1b
(-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (pow.f64 x (*.f64 2 (/.f64 1 n))))
Compiler

Compiled 97 to 48 computations (50.5% saved)

series35.0ms (0.1%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
5.0ms
x
@0
(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (pow.f64 x (*.f64 2 (/.f64 1 n)))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
4.0ms
n
@inf
(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (pow.f64 x (*.f64 2 (/.f64 1 n)))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
4.0ms
x
@-inf
(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (pow.f64 x (*.f64 2 (/.f64 1 n)))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
3.0ms
x
@inf
(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (pow.f64 x (*.f64 2 (/.f64 1 n)))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
3.0ms
n
@-inf
(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (pow.f64 x (*.f64 2 (/.f64 1 n)))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))

rewrite134.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
556×fma-def_binary64
298×expm1-udef_binary64
298×log1p-udef_binary64
290×fma-neg_binary64
278×log-pow_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01672
136250
2517850
Stop Event
1×node limit
Counts
4 → 307
Calls
Call 1
Inputs
(-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (pow.f64 x (*.f64 2 (/.f64 1 n))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (pow.f64 x (*.f64 2 (/.f64 1 n)))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
(/.f64 (log1p.f64 x) n)
(pow.f64 x (*.f64 2 (/.f64 1 n)))
Outputs
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simplify155.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
529×fma-def_binary64
363×+-commutative_binary64
363×associate-/r*_binary64
308×times-frac_binary64
278×associate-/l*_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05368457
118737937
Stop Event
1×node limit
Counts
403 → 424
Calls
Call 1
Inputs
(-.f64 1 (exp.f64 (*.f64 2 (/.f64 (log.f64 x) n))))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 x n))) (exp.f64 (*.f64 2 (/.f64 (log.f64 x) n))))
(-.f64 (+.f64 (*.f64 (-.f64 (*.f64 2 (/.f64 1 (pow.f64 n 2))) (/.f64 1 n)) (pow.f64 x 2)) (+.f64 1 (*.f64 2 (/.f64 x n)))) (exp.f64 (*.f64 2 (/.f64 (log.f64 x) n))))
(-.f64 (+.f64 (*.f64 (-.f64 (*.f64 2 (/.f64 1 (pow.f64 n 2))) (/.f64 1 n)) (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 2 (/.f64 x n)) (*.f64 (-.f64 (+.f64 (*.f64 2/3 (/.f64 1 n)) (*.f64 4/3 (/.f64 1 (pow.f64 n 3)))) (*.f64 2 (/.f64 1 (pow.f64 n 2)))) (pow.f64 x 3))))) (exp.f64 (*.f64 2 (/.f64 (log.f64 x) n))))
(-.f64 (pow.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 2) (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))))
(-.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 2) (*.f64 2 (/.f64 (pow.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 2) (*.f64 n x)))) (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))))
(-.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 2) (+.f64 (*.f64 2 (/.f64 (pow.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 2) (*.f64 n x))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 2) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2))) (/.f64 (pow.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 2) (*.f64 (pow.f64 n 2) (pow.f64 x 2)))))) (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))))
(-.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 2) (+.f64 (*.f64 2 (/.f64 (pow.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 2) (*.f64 n x))) (+.f64 (/.f64 (pow.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 2) (*.f64 (pow.f64 n 2) (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 2) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 2) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (*.f64 n (pow.f64 x 3)))) (*.f64 2 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 2) (-.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)))))))) (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))))
(-.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) 2) (exp.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))))
(-.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) 2) (*.f64 n x))) (pow.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) 2)) (exp.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))))
(-.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) 2) (*.f64 (pow.f64 n 2) (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) 2) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) 2) (*.f64 n x))) (pow.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) 2)))) (exp.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) 2) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) n)) (*.f64 2 (*.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))))) (pow.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) 2)))) (pow.f64 x 3))) (+.f64 (/.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) 2) (*.f64 (pow.f64 n 2) (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) 2) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) 2) (*.f64 n x))) (pow.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) 2))))) (exp.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))))
(-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (exp.f64 (*.f64 2 (/.f64 (log.f64 x) n))))
(-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (exp.f64 (*.f64 2 (/.f64 (log.f64 x) n))))
(-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (exp.f64 (*.f64 2 (/.f64 (log.f64 x) n))))
(-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (exp.f64 (*.f64 2 (/.f64 (log.f64 x) n))))
(/.f64 (-.f64 (*.f64 2 (log.f64 (+.f64 1 x))) (*.f64 2 (log.f64 x))) n)
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(-.f64 (+.f64 (*.f64 1/2 (/.f64 (-.f64 (+.f64 (*.f64 1/4 (pow.f64 (log.f64 (+.f64 1 x)) 4)) (+.f64 (*.f64 1/12 (pow.f64 (log.f64 (+.f64 1 x)) 4)) (*.f64 1/3 (pow.f64 (log.f64 (+.f64 1 x)) 4)))) (*.f64 2/3 (pow.f64 (log.f64 x) 4))) (pow.f64 n 4))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (-.f64 (+.f64 (*.f64 -1 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (*.f64 -1/3 (pow.f64 (log.f64 (+.f64 1 x)) 3))) (*.f64 -4/3 (pow.f64 (log.f64 x) 3)))) (+.f64 (*.f64 1/4 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (log.f64 x) 2)) (*.f64 1/2 (pow.f64 (log.f64 (+.f64 1 x)) 2))) (-.f64 (*.f64 -2 (log.f64 (+.f64 1 x))) (*.f64 -2 (log.f64 x))))) (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1 (log.f64 (+.f64 1 x))) (*.f64 -1 (log.f64 x))) (-.f64 (*.f64 1/2 (-.f64 (*.f64 2 (pow.f64 (log.f64 (+.f64 1 x)) 2)) (*.f64 2 (pow.f64 (log.f64 x) 2)))) (*.f64 1/4 (*.f64 (+.f64 (*.f64 -1 (log.f64 (+.f64 1 x))) (*.f64 -1 (log.f64 x))) (-.f64 (*.f64 -2 (log.f64 (+.f64 1 x))) (*.f64 -2 (log.f64 x)))))))))) (pow.f64 n 3))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 2 (pow.f64 (log.f64 (+.f64 1 x)) 2)) (*.f64 2 (pow.f64 (log.f64 x) 2))) (pow.f64 n 2))) (*.f64 -1/2 (/.f64 (-.f64 (*.f64 -2 (log.f64 (+.f64 1 x))) (*.f64 -2 (log.f64 x))) n))))) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (+.f64 1 x))) (*.f64 -1 (log.f64 x))) (-.f64 (*.f64 -2 (log.f64 (+.f64 1 x))) (*.f64 -2 (log.f64 x)))) (pow.f64 n 2))) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (*.f64 -1/6 (pow.f64 (log.f64 x) 3))) (-.f64 (*.f64 -2 (log.f64 (+.f64 1 x))) (*.f64 -2 (log.f64 x)))) (pow.f64 n 4))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (log.f64 x) 2)) (*.f64 1/2 (pow.f64 (log.f64 (+.f64 1 x)) 2))) (-.f64 (*.f64 1/2 (-.f64 (*.f64 2 (pow.f64 (log.f64 (+.f64 1 x)) 2)) (*.f64 2 (pow.f64 (log.f64 x) 2)))) (*.f64 1/4 (*.f64 (+.f64 (*.f64 -1 (log.f64 (+.f64 1 x))) (*.f64 -1 (log.f64 x))) (-.f64 (*.f64 -2 (log.f64 (+.f64 1 x))) (*.f64 -2 (log.f64 x))))))) (pow.f64 n 4))) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (-.f64 (+.f64 (*.f64 -1 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (*.f64 -1/3 (pow.f64 (log.f64 (+.f64 1 x)) 3))) (*.f64 -4/3 (pow.f64 (log.f64 x) 3)))) (+.f64 (*.f64 1/4 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (log.f64 x) 2)) (*.f64 1/2 (pow.f64 (log.f64 (+.f64 1 x)) 2))) (-.f64 (*.f64 -2 (log.f64 (+.f64 1 x))) (*.f64 -2 (log.f64 x))))) (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1 (log.f64 (+.f64 1 x))) (*.f64 -1 (log.f64 x))) (-.f64 (*.f64 1/2 (-.f64 (*.f64 2 (pow.f64 (log.f64 (+.f64 1 x)) 2)) (*.f64 2 (pow.f64 (log.f64 x) 2)))) (*.f64 1/4 (*.f64 (+.f64 (*.f64 -1 (log.f64 (+.f64 1 x))) (*.f64 -1 (log.f64 x))) (-.f64 (*.f64 -2 (log.f64 (+.f64 1 x))) (*.f64 -2 (log.f64 x)))))))))) (+.f64 (*.f64 -1 (log.f64 (+.f64 1 x))) (*.f64 -1 (log.f64 x)))) (pow.f64 n 4)))))))
(/.f64 x n)
(+.f64 (/.f64 x n) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n)))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) n)) (+.f64 (/.f64 x n) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n))))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) n)) (+.f64 (/.f64 x n) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 x 4) n)) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n)))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))
(+.f64 (/.f64 1 (*.f64 n x)) (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))
(-.f64 (+.f64 (/.f64 1 (*.f64 n x)) (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (+.f64 (/.f64 1 (*.f64 n x)) (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)
(+.f64 (/.f64 (log.f64 -1) n) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) n)) (/.f64 1 (*.f64 n x))))
(-.f64 (+.f64 (/.f64 (log.f64 -1) n) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) n)) (/.f64 1 (*.f64 n x)))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 (log.f64 -1) n) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) n)) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (/.f64 1 (*.f64 n x))))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(/.f64 (log.f64 (+.f64 1 x)) n)
(/.f64 (log.f64 (+.f64 1 x)) n)
(/.f64 (log.f64 (+.f64 1 x)) n)
(/.f64 (log.f64 (+.f64 1 x)) n)
(/.f64 (log.f64 (+.f64 1 x)) n)
(/.f64 (log.f64 (+.f64 1 x)) n)
(/.f64 (log.f64 (+.f64 1 x)) n)
(/.f64 (log.f64 (+.f64 1 x)) n)
(/.f64 (log.f64 (+.f64 1 x)) n)
(/.f64 (log.f64 (+.f64 1 x)) n)
(/.f64 (log.f64 (+.f64 1 x)) n)
(/.f64 (log.f64 (+.f64 1 x)) n)
(exp.f64 (*.f64 2 (/.f64 (log.f64 x) n)))
(exp.f64 (*.f64 2 (/.f64 (log.f64 x) n)))
(exp.f64 (*.f64 2 (/.f64 (log.f64 x) n)))
(exp.f64 (*.f64 2 (/.f64 (log.f64 x) n)))
(exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n)))
(exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n)))
(exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n)))
(exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n)))
(exp.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))
(exp.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))
(exp.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))
(exp.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))
(exp.f64 (*.f64 2 (/.f64 (log.f64 x) n)))
(exp.f64 (*.f64 2 (/.f64 (log.f64 x) n)))
(exp.f64 (*.f64 2 (/.f64 (log.f64 x) n)))
(exp.f64 (*.f64 2 (/.f64 (log.f64 x) n)))
1
(+.f64 1 (*.f64 2 (/.f64 (log.f64 x) n)))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 (log.f64 x) n)) (*.f64 2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))))
(+.f64 1 (+.f64 (*.f64 4/3 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))) (+.f64 (*.f64 2 (/.f64 (log.f64 x) n)) (*.f64 2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))))
1
(+.f64 1 (*.f64 2 (/.f64 (log.f64 x) n)))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 (log.f64 x) n)) (*.f64 2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))))
(+.f64 1 (+.f64 (*.f64 4/3 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))) (+.f64 (*.f64 2 (/.f64 (log.f64 x) n)) (*.f64 2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))))
Outputs
(-.f64 1 (exp.f64 (*.f64 2 (/.f64 (log.f64 x) n))))
(-.f64 1 (pow.f64 (exp.f64 2) (/.f64 (log.f64 x) n)))
(-.f64 1 (pow.f64 (exp.f64 (/.f64 (log.f64 x) n)) 2))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 x n))) (exp.f64 (*.f64 2 (/.f64 (log.f64 x) n))))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 x n))) (pow.f64 (exp.f64 2) (/.f64 (log.f64 x) n)))
(-.f64 (fma.f64 2 (/.f64 x n) 1) (pow.f64 (exp.f64 (/.f64 (log.f64 x) n)) 2))
(-.f64 (+.f64 (*.f64 (-.f64 (*.f64 2 (/.f64 1 (pow.f64 n 2))) (/.f64 1 n)) (pow.f64 x 2)) (+.f64 1 (*.f64 2 (/.f64 x n)))) (exp.f64 (*.f64 2 (/.f64 (log.f64 x) n))))
(-.f64 (fma.f64 (-.f64 (/.f64 2 (*.f64 n n)) (/.f64 1 n)) (*.f64 x x) (+.f64 1 (*.f64 2 (/.f64 x n)))) (pow.f64 (exp.f64 2) (/.f64 (log.f64 x) n)))
(-.f64 (fma.f64 (+.f64 (/.f64 2 (*.f64 n n)) (/.f64 -1 n)) (*.f64 x x) (fma.f64 2 (/.f64 x n) 1)) (pow.f64 (exp.f64 (/.f64 (log.f64 x) n)) 2))
(-.f64 (+.f64 (*.f64 (-.f64 (*.f64 2 (/.f64 1 (pow.f64 n 2))) (/.f64 1 n)) (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 2 (/.f64 x n)) (*.f64 (-.f64 (+.f64 (*.f64 2/3 (/.f64 1 n)) (*.f64 4/3 (/.f64 1 (pow.f64 n 3)))) (*.f64 2 (/.f64 1 (pow.f64 n 2)))) (pow.f64 x 3))))) (exp.f64 (*.f64 2 (/.f64 (log.f64 x) n))))
(-.f64 (fma.f64 (-.f64 (/.f64 2 (*.f64 n n)) (/.f64 1 n)) (*.f64 x x) (+.f64 1 (fma.f64 2 (/.f64 x n) (*.f64 (-.f64 (+.f64 (/.f64 2/3 n) (/.f64 4/3 (pow.f64 n 3))) (/.f64 2 (*.f64 n n))) (pow.f64 x 3))))) (pow.f64 (exp.f64 2) (/.f64 (log.f64 x) n)))
(+.f64 (fma.f64 (+.f64 (/.f64 2 (*.f64 n n)) (/.f64 -1 n)) (*.f64 x x) 1) (-.f64 (fma.f64 2 (/.f64 x n) (*.f64 (+.f64 (/.f64 2/3 n) (+.f64 (/.f64 4/3 (pow.f64 n 3)) (/.f64 -2 (*.f64 n n)))) (pow.f64 x 3))) (pow.f64 (exp.f64 (/.f64 (log.f64 x) n)) 2)))
(-.f64 (pow.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 2) (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))))
(-.f64 (pow.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) 2) (pow.f64 (exp.f64 -2) (/.f64 (neg.f64 (log.f64 x)) n)))
(-.f64 (pow.f64 (exp.f64 (/.f64 (*.f64 1 (log.f64 x)) n)) 2) (pow.f64 (exp.f64 (/.f64 (log.f64 x) n)) 2))
(-.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 2) (*.f64 2 (/.f64 (pow.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 2) (*.f64 n x)))) (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))))
(-.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) 2) (*.f64 2 (/.f64 (pow.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) 2) (*.f64 x n)))) (pow.f64 (exp.f64 -2) (/.f64 (neg.f64 (log.f64 x)) n)))
(-.f64 (fma.f64 2 (/.f64 (pow.f64 (exp.f64 (/.f64 (*.f64 1 (log.f64 x)) n)) 2) (*.f64 x n)) (pow.f64 (exp.f64 (/.f64 (*.f64 1 (log.f64 x)) n)) 2)) (pow.f64 (exp.f64 (/.f64 (log.f64 x) n)) 2))
(-.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 2) (+.f64 (*.f64 2 (/.f64 (pow.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 2) (*.f64 n x))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 2) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2))) (/.f64 (pow.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 2) (*.f64 (pow.f64 n 2) (pow.f64 x 2)))))) (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))))
(+.f64 (pow.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) 2) (-.f64 (fma.f64 2 (/.f64 (pow.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) 2) (*.f64 x n)) (fma.f64 2 (/.f64 (pow.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) 2) (/.f64 (*.f64 x x) (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))) (/.f64 (pow.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) 2) (*.f64 (*.f64 n n) (*.f64 x x))))) (pow.f64 (exp.f64 -2) (/.f64 (neg.f64 (log.f64 x)) n))))
(+.f64 (pow.f64 (exp.f64 (/.f64 (*.f64 1 (log.f64 x)) n)) 2) (-.f64 (fma.f64 2 (/.f64 (pow.f64 (exp.f64 (/.f64 (*.f64 1 (log.f64 x)) n)) 2) (*.f64 x n)) (fma.f64 2 (*.f64 (/.f64 (pow.f64 (exp.f64 (/.f64 (*.f64 1 (log.f64 x)) n)) 2) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x)) (/.f64 (pow.f64 (exp.f64 (/.f64 (*.f64 1 (log.f64 x)) n)) 2) (*.f64 x (*.f64 x (*.f64 n n)))))) (pow.f64 (exp.f64 (/.f64 (log.f64 x) n)) 2)))
(-.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 2) (+.f64 (*.f64 2 (/.f64 (pow.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 2) (*.f64 n x))) (+.f64 (/.f64 (pow.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 2) (*.f64 (pow.f64 n 2) (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 2) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 2) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (*.f64 n (pow.f64 x 3)))) (*.f64 2 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 2) (-.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)))))))) (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))))
(+.f64 (pow.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) 2) (-.f64 (fma.f64 2 (/.f64 (pow.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) 2) (*.f64 x n)) (+.f64 (/.f64 (pow.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) 2) (*.f64 (*.f64 n n) (*.f64 x x))) (fma.f64 2 (/.f64 (pow.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) 2) (/.f64 (*.f64 x x) (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))) (*.f64 2 (+.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) 2) n) (/.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (pow.f64 x 3))) (/.f64 (pow.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) 2) (/.f64 (pow.f64 x 3) (+.f64 (/.f64 1/3 n) (-.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 1/2 (*.f64 n n))))))))))) (pow.f64 (exp.f64 -2) (/.f64 (neg.f64 (log.f64 x)) n))))
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(-.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) 2) (exp.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))))
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(exp.f64 (*.f64 2 (/.f64 (log.f64 x) n)))
(pow.f64 (exp.f64 2) (/.f64 (log.f64 x) n))
(pow.f64 (exp.f64 (/.f64 (log.f64 x) n)) 2)
(exp.f64 (*.f64 2 (/.f64 (log.f64 x) n)))
(pow.f64 (exp.f64 2) (/.f64 (log.f64 x) n))
(pow.f64 (exp.f64 (/.f64 (log.f64 x) n)) 2)
1
(+.f64 1 (*.f64 2 (/.f64 (log.f64 x) n)))
(fma.f64 2 (/.f64 (log.f64 x) n) 1)
(+.f64 1 (+.f64 (*.f64 2 (/.f64 (log.f64 x) n)) (*.f64 2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))))
(+.f64 1 (*.f64 2 (+.f64 (/.f64 (log.f64 x) n) (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)))))
(fma.f64 2 (+.f64 (/.f64 (log.f64 x) n) (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n))) 1)
(+.f64 1 (+.f64 (*.f64 4/3 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))) (+.f64 (*.f64 2 (/.f64 (log.f64 x) n)) (*.f64 2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))))
(+.f64 1 (fma.f64 4/3 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)) (*.f64 2 (+.f64 (/.f64 (log.f64 x) n) (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n))))))
(+.f64 (/.f64 (pow.f64 (log.f64 x) 3) (/.f64 (pow.f64 n 3) 4/3)) (fma.f64 2 (+.f64 (/.f64 (log.f64 x) n) (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n))) 1))
1
(+.f64 1 (*.f64 2 (/.f64 (log.f64 x) n)))
(fma.f64 2 (/.f64 (log.f64 x) n) 1)
(+.f64 1 (+.f64 (*.f64 2 (/.f64 (log.f64 x) n)) (*.f64 2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))))
(+.f64 1 (*.f64 2 (+.f64 (/.f64 (log.f64 x) n) (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)))))
(fma.f64 2 (+.f64 (/.f64 (log.f64 x) n) (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n))) 1)
(+.f64 1 (+.f64 (*.f64 4/3 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))) (+.f64 (*.f64 2 (/.f64 (log.f64 x) n)) (*.f64 2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))))
(+.f64 1 (fma.f64 4/3 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)) (*.f64 2 (+.f64 (/.f64 (log.f64 x) n) (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n))))))
(+.f64 (/.f64 (pow.f64 (log.f64 x) 3) (/.f64 (pow.f64 n 3) 4/3)) (fma.f64 2 (+.f64 (/.f64 (log.f64 x) n) (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n))) 1))

eval1.5s (5.3%)

Compiler

Compiled 43586 to 25489 computations (41.5% saved)

prune312.0ms (1.1%)

Pruning

31 alts after pruning (30 fresh and 1 done)

PrunedKeptTotal
New1081281109
Fresh12214
Picked101
Done415
Total1098311129
Error
0.0b
Counts
1129 → 31
Alt Table
Click to see full alt table
StatusErrorProgram
44.8b
(+.f64 (fma.f64 -1/2 (/.f64 (/.f64 (/.f64 (log.f64 x) n) (*.f64 x n)) x) (+.f64 (/.f64 (/.f64 (log.f64 x) n) (*.f64 x n)) (/.f64 (/.f64 1 x) n))) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (*.f64 x x)))
16.7b
(/.f64 (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n)
▶16.4b
(pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1)
▶16.4b
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
44.6b
(/.f64 (+.f64 (/.f64 1 x) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 (/.f64 1/2 x) x))) n)
▶29.5b
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2)
44.5b
(*.f64 (/.f64 (/.f64 1 n) x) (-.f64 (+.f64 (/.f64 1/3 (*.f64 x x)) 1) (/.f64 1/2 x)))
▶48.3b
(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))
16.8b
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 3)
38.5b
(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 (/.f64 (pow.f64 x (/.f64 1 n)) x) (/.f64 1 n)))
16.5b
(/.f64 (pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) n)
51.1b
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (cbrt.f64 1))
✓43.3b
(-.f64 1 (pow.f64 x (/.f64 1 n)))
30.1b
(neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))
16.7b
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n)
44.7b
(*.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 (/.f64 1 n) x))
43.7b
(/.f64 (/.f64 1 x) n)
32.1b
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (cbrt.f64 (exp.f64 (*.f64 (/.f64 3 n) (log.f64 x)))))
43.7b
(/.f64 (/.f64 1 n) x)
40.4b
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3) (pow.f64 n 3)))
16.5b
(*.f64 (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 1) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n))
37.6b
(/.f64 (-.f64 x (log.f64 x)) n)
32.6b
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
43.3b
(/.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (pow.f64 x (/.f64 2 n))) 3)) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
16.4b
(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x)))
37.7b
(/.f64 (neg.f64 (log.f64 x)) n)
43.3b
(pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x (/.f64 1 n)))) 3)
▶44.1b
(/.f64 1 (*.f64 n x))
16.8b
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))
43.4b
(-.f64 1 (cbrt.f64 (pow.f64 x (*.f64 (/.f64 1 n) 3))))
31.8b
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
Compiler

Compiled 899 to 615 computations (31.6% saved)

localize13.0ms (0%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (+.f64 x 1) x)
✓0.1b
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
✓1.6b
(log.f64 (/.f64 (+.f64 x 1) x))
Compiler

Compiled 27 to 17 computations (37% saved)

series28.0ms (0.1%)

Counts
3 → 48
Calls

12 calls:

TimeVariablePointExpression
14.0ms
n
@0
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
9.0ms
n
@inf
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
1.0ms
n
@-inf
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
0.0ms
x
@-inf
(log.f64 (/.f64 (+.f64 x 1) x))
0.0ms
x
@0
(log.f64 (/.f64 (+.f64 x 1) x))

rewrite66.0ms (0.2%)

Algorithm
1×batch-egg-rewrite
Rules
961×pow1_binary64
894×add-log-exp_binary64
894×log1p-expm1-u_binary64
894×expm1-log1p-u_binary64
88×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0828
117226
2238626
Stop Event
1×node limit
Counts
3 → 93
Calls
Call 1
Inputs
(log.f64 (/.f64 (+.f64 x 1) x))
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(/.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 (exp.f64 (log1p.f64 (-.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 log1p.f64 (-.f64 (/.f64 (+.f64 x 1) x) 1))))) (#(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 -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (/.f64 1 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2) (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (*.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 1 (neg.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) 1) (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 1) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (pow.f64 (cbrt.f64 n) 2)) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (cbrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 n)) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (sqrt.f64 n)) (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (sqrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (neg.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (/.f64 (+.f64 x 1) x) (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3) (pow.f64 n 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x 1) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 1) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x 1) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) 2) (cbrt.f64 (/.f64 (+.f64 x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 (+.f64 x 1)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x)) (sqrt.f64 (/.f64 (+.f64 x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (neg.f64 x) -1) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x 1)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) 1) (/.f64 (sqrt.f64 (+.f64 x 1)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 x 1) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 x 1) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x 1) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (-.f64 (log1p.f64 x) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x 1) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (+.f64 x 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.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 pow.f64 (exp.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 neg.f64 (/.f64 (+.f64 x 1) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 x 1) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 x) (log.f64 x)))))))

simplify55.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
602×distribute-neg-frac_binary64
459×associate-/r*_binary64
458×fma-def_binary64
376×distribute-rgt-neg-in_binary64
335×distribute-lft-neg-in_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
066685
1173663
2460659
31338632
45019626
Stop Event
1×node limit
Counts
141 → 128
Calls
Call 1
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)))))
(*.f64 -1 (/.f64 (log.f64 x) n))
(+.f64 (/.f64 x n) (*.f64 -1 (/.f64 (log.f64 x) n)))
(+.f64 (/.f64 x n) (+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n))))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) n)) (+.f64 (/.f64 x n) (+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n)))))
(/.f64 1 (*.f64 n x))
(-.f64 (/.f64 1 (*.f64 n x)) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (/.f64 1 (*.f64 n x))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (/.f64 1 (*.f64 n x))) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 n (pow.f64 x 4)))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))))
(/.f64 1 (*.f64 n x))
(-.f64 (/.f64 1 (*.f64 n x)) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (/.f64 1 (*.f64 n x))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (/.f64 1 (*.f64 n x))) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 n (pow.f64 x 4)))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))))
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n)
(/.f64 1 x)
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))
1
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))
1
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))
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))))
(-.f64 (fma.f64 -1/2 (*.f64 x x) x) (log.f64 x))
(-.f64 (fma.f64 x (*.f64 x -1/2) 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) (-.f64 (fma.f64 -1/2 (*.f64 x x) x) (log.f64 x)))
(fma.f64 x (*.f64 x -1/2) (fma.f64 1/3 (pow.f64 x 3) (-.f64 x (log.f64 x))))
(fma.f64 x (*.f64 x (fma.f64 x 1/3 -1/2)) (-.f64 x (log.f64 x)))
(-.f64 (fma.f64 x (*.f64 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 1/3 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1/2 (*.f64 x x))) (/.f64 1/3 (pow.f64 x 3)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 (/.f64 -1/2 x) x)))
(+.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 (*.f64 x x)) (+.f64 (/.f64 1/3 x) -1/2)))
(-.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 (+.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 1/3 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1/4 (pow.f64 x 4)))) (/.f64 -1/2 (*.f64 x x)))
(+.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 -1/4 (pow.f64 x 4))))
(+.f64 (/.f64 1/3 (pow.f64 x 3)) (-.f64 (/.f64 -1/2 (*.f64 x x)) (-.f64 (/.f64 1/4 (pow.f64 x 4)) (/.f64 1 x))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 -1/4 (pow.f64 x 4)) (*.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1/3 x) -1/2))))
(/.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 1/3 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1/2 (*.f64 x x))) (/.f64 1/3 (pow.f64 x 3)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 (/.f64 -1/2 x) x)))
(+.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 (*.f64 x x)) (+.f64 (/.f64 1/3 x) -1/2)))
(-.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 (+.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 1/3 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1/4 (pow.f64 x 4)))) (/.f64 -1/2 (*.f64 x x)))
(+.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 -1/4 (pow.f64 x 4))))
(+.f64 (/.f64 1/3 (pow.f64 x 3)) (-.f64 (/.f64 -1/2 (*.f64 x x)) (-.f64 (/.f64 1/4 (pow.f64 x 4)) (/.f64 1 x))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 -1/4 (pow.f64 x 4)) (*.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1/3 x) -1/2))))
(*.f64 -1 (/.f64 (log.f64 x) n))
(/.f64 (neg.f64 (log.f64 x)) n)
(+.f64 (/.f64 x n) (*.f64 -1 (/.f64 (log.f64 x) n)))
(+.f64 (/.f64 (neg.f64 (log.f64 x)) n) (/.f64 x n))
(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n))
(+.f64 (/.f64 x n) (+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n))))
(+.f64 (/.f64 x n) (fma.f64 -1 (/.f64 (log.f64 x) n) (*.f64 -1/2 (/.f64 (*.f64 x x) n))))
(+.f64 (-.f64 (/.f64 x n) (/.f64 (log.f64 x) n)) (*.f64 -1/2 (/.f64 x (/.f64 n x))))
(fma.f64 -1/2 (/.f64 x (/.f64 n x)) (-.f64 (/.f64 x n) (/.f64 (log.f64 x) n)))
(-.f64 (fma.f64 -1/2 (/.f64 x (/.f64 n x)) (/.f64 x n)) (/.f64 (log.f64 x) n))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) n)) (+.f64 (/.f64 x n) (+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n)))))
(fma.f64 1/3 (/.f64 (pow.f64 x 3) n) (+.f64 (/.f64 x n) (fma.f64 -1 (/.f64 (log.f64 x) n) (*.f64 -1/2 (/.f64 (*.f64 x x) n)))))
(fma.f64 1/3 (/.f64 (pow.f64 x 3) n) (+.f64 (-.f64 (/.f64 x n) (/.f64 (log.f64 x) n)) (*.f64 -1/2 (/.f64 x (/.f64 n x)))))
(fma.f64 1/3 (/.f64 (pow.f64 x 3) n) (fma.f64 -1/2 (/.f64 x (/.f64 n x)) (-.f64 (/.f64 x n) (/.f64 (log.f64 x) n))))
(fma.f64 -1/2 (/.f64 x (/.f64 n x)) (-.f64 (fma.f64 1/3 (/.f64 (pow.f64 x 3) n) (/.f64 x n)) (/.f64 (log.f64 x) n)))
(-.f64 (fma.f64 -1/2 (/.f64 x (/.f64 n x)) (fma.f64 1/3 (/.f64 (pow.f64 x 3) n) (/.f64 x n))) (/.f64 (log.f64 x) n))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 x n))
(/.f64 (/.f64 1 x) n)
(-.f64 (/.f64 1 (*.f64 n x)) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/2 (*.f64 (*.f64 x x) n)))
(+.f64 (/.f64 1 (*.f64 x n)) (/.f64 -1/2 (*.f64 x (*.f64 x n))))
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 (/.f64 (/.f64 1/2 x) x) n))
(*.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 1 (*.f64 x n)))
(*.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 (/.f64 1 x) n))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (/.f64 1 (*.f64 n x))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(+.f64 (/.f64 1/3 (*.f64 (pow.f64 x 3) n)) (-.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/2 (*.f64 (*.f64 x x) n))))
(+.f64 (/.f64 1 (*.f64 x n)) (-.f64 (/.f64 1/3 (*.f64 (pow.f64 x 3) n)) (/.f64 1/2 (*.f64 x (*.f64 x n)))))
(+.f64 (/.f64 1 (*.f64 x n)) (-.f64 (/.f64 1/3 (*.f64 (pow.f64 x 3) n)) (/.f64 (/.f64 (/.f64 1/2 x) x) n)))
(+.f64 (/.f64 1 (*.f64 x n)) (*.f64 (/.f64 1 (*.f64 x (*.f64 x n))) (-.f64 (/.f64 1/3 x) 1/2)))
(*.f64 (/.f64 (/.f64 1 x) n) (-.f64 (+.f64 (/.f64 1/3 (*.f64 x x)) 1) (/.f64 1/2 x)))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (/.f64 1 (*.f64 n x))) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 n (pow.f64 x 4)))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))))
(-.f64 (+.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/3 (*.f64 (pow.f64 x 3) n))) (+.f64 (/.f64 1/2 (*.f64 (*.f64 x x) n)) (/.f64 1/4 (*.f64 (pow.f64 x 4) n))))
(+.f64 (/.f64 1/3 (*.f64 (pow.f64 x 3) n)) (-.f64 (/.f64 1 (*.f64 x n)) (+.f64 (/.f64 1/2 (*.f64 x (*.f64 x n))) (/.f64 1/4 (*.f64 (pow.f64 x 4) n)))))
(+.f64 (/.f64 1 (*.f64 x n)) (+.f64 (-.f64 (/.f64 1/3 (*.f64 (pow.f64 x 3) n)) (/.f64 (/.f64 (/.f64 1/2 x) x) n)) (/.f64 -1/4 (*.f64 (pow.f64 x 4) n))))
(+.f64 (*.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 1 (*.f64 x n))) (*.f64 (/.f64 1 (*.f64 (pow.f64 x 3) n)) (-.f64 1/3 (/.f64 1/4 x))))
(+.f64 (*.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 (/.f64 1 x) n)) (*.f64 (/.f64 1 (*.f64 (pow.f64 x 3) n)) (-.f64 1/3 (/.f64 1/4 x))))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 x n))
(/.f64 (/.f64 1 x) n)
(-.f64 (/.f64 1 (*.f64 n x)) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/2 (*.f64 (*.f64 x x) n)))
(+.f64 (/.f64 1 (*.f64 x n)) (/.f64 -1/2 (*.f64 x (*.f64 x n))))
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 (/.f64 (/.f64 1/2 x) x) n))
(*.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 1 (*.f64 x n)))
(*.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 (/.f64 1 x) n))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (/.f64 1 (*.f64 n x))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(+.f64 (/.f64 1/3 (*.f64 (pow.f64 x 3) n)) (-.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/2 (*.f64 (*.f64 x x) n))))
(+.f64 (/.f64 1 (*.f64 x n)) (-.f64 (/.f64 1/3 (*.f64 (pow.f64 x 3) n)) (/.f64 1/2 (*.f64 x (*.f64 x n)))))
(+.f64 (/.f64 1 (*.f64 x n)) (-.f64 (/.f64 1/3 (*.f64 (pow.f64 x 3) n)) (/.f64 (/.f64 (/.f64 1/2 x) x) n)))
(+.f64 (/.f64 1 (*.f64 x n)) (*.f64 (/.f64 1 (*.f64 x (*.f64 x n))) (-.f64 (/.f64 1/3 x) 1/2)))
(*.f64 (/.f64 (/.f64 1 x) n) (-.f64 (+.f64 (/.f64 1/3 (*.f64 x x)) 1) (/.f64 1/2 x)))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (/.f64 1 (*.f64 n x))) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 n (pow.f64 x 4)))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))))
(-.f64 (+.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/3 (*.f64 (pow.f64 x 3) n))) (+.f64 (/.f64 1/2 (*.f64 (*.f64 x x) n)) (/.f64 1/4 (*.f64 (pow.f64 x 4) n))))
(+.f64 (/.f64 1/3 (*.f64 (pow.f64 x 3) n)) (-.f64 (/.f64 1 (*.f64 x n)) (+.f64 (/.f64 1/2 (*.f64 x (*.f64 x n))) (/.f64 1/4 (*.f64 (pow.f64 x 4) n)))))
(+.f64 (/.f64 1 (*.f64 x n)) (+.f64 (-.f64 (/.f64 1/3 (*.f64 (pow.f64 x 3) n)) (/.f64 (/.f64 (/.f64 1/2 x) x) n)) (/.f64 -1/4 (*.f64 (pow.f64 x 4) n))))
(+.f64 (*.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 1 (*.f64 x n))) (*.f64 (/.f64 1 (*.f64 (pow.f64 x 3) n)) (-.f64 1/3 (/.f64 1/4 x))))
(+.f64 (*.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 (/.f64 1 x) n)) (*.f64 (/.f64 1 (*.f64 (pow.f64 x 3) n)) (-.f64 1/3 (/.f64 1/4 x))))
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 1 x)
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))
1
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))
1
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.6b
(/.f64 1 (*.f64 n x))
Compiler

Compiled 13 to 6 computations (53.8% saved)

series3.0ms (0%)

Counts
1 → 0
Calls

6 calls:

TimeVariablePointExpression
1.0ms
n
@0
(/.f64 1 (*.f64 n x))
0.0ms
x
@inf
(/.f64 1 (*.f64 n x))
0.0ms
n
@inf
(/.f64 1 (*.f64 n x))
0.0ms
x
@-inf
(/.f64 1 (*.f64 n x))
0.0ms
n
@-inf
(/.f64 1 (*.f64 n x))

rewrite55.0ms (0.2%)

Algorithm
1×batch-egg-rewrite
Rules
544×pow1_binary64
521×add-sqr-sqrt_binary64
501×add-log-exp_binary64
501×log1p-expm1-u_binary64
501×expm1-log1p-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11197
214167
Stop Event
1×node limit
Counts
1 → 23
Calls
Call 1
Inputs
(/.f64 1 (*.f64 n x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (*.f64 n x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (*.f64 n x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 n x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 n x))) (cbrt.f64 (pow.f64 (*.f64 n x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 n x) -2)) (/.f64 1 (cbrt.f64 (*.f64 n x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 n x) -1/2) (pow.f64 (*.f64 n x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (*.f64 n (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 n) (pow.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 n) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1) (/.f64 1 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 n x)) 2) -1) (pow.f64 (cbrt.f64 (*.f64 n x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 n x)) -1) (pow.f64 (sqrt.f64 (*.f64 n x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 n x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (*.f64 n x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (*.f64 n x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (*.f64 n x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 n x) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 n x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (*.f64 n x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (*.f64 n x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (*.f64 n x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (*.f64 n x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (*.f64 n x))))))))

simplify11.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
1×saturated
Counts
23 → 23
Calls
Call 1
Inputs
Outputs

localize30.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(pow.f64 x (/.f64 1 n))
✓3.9b
(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))
Compiler

Compiled 32 to 17 computations (46.9% saved)

series4.0ms (0%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
n
@-inf
(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))
1.0ms
n
@0
(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))
1.0ms
n
@inf
(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))
1.0ms
x
@0
(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))
1.0ms
x
@-inf
(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))

rewrite114.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
925×prod-diff_binary64
496×log-prod_binary64
428×fma-def_binary64
276×pow2_binary64
234×fma-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0916
121016
2305116
Stop Event
1×node limit
Counts
1 → 166
Calls
Call 1
Inputs
(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))
Outputs
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1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) n) (*.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 x (cbrt.f64 n)) (-.f64 1 (pow.f64 x (/.f64 1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 x (cbrt.f64 n)) (*.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 (/.f64 x n)) (-.f64 1 (pow.f64 x (/.f64 1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 (/.f64 x n)) (*.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 n) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 n)) (-.f64 1 (pow.f64 x (/.f64 1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 n) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 n)) (*.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 n)) (/.f64 (cbrt.f64 x) (sqrt.f64 n)) (-.f64 1 (pow.f64 x (/.f64 1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 n)) (/.f64 (cbrt.f64 x) (sqrt.f64 n)) (*.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 (/.f64 x n) 1)) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (-.f64 (sqrt.f64 (+.f64 (/.f64 x n) 1)) (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 (+.f64 (/.f64 x n) 1)) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (-.f64 (sqrt.f64 (+.f64 (/.f64 x n) 1)) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))) (cbrt.f64 (pow.f64 (*.f64 x x) (/.f64 1 n))) (pow.f64 x (/.f64 1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 (/.f64 x n) 1)) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (-.f64 (sqrt.f64 (+.f64 (/.f64 x n) 1)) (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 (cbrt.f64 (pow.f64 (*.f64 x x) (/.f64 1 n)))) (cbrt.f64 (pow.f64 x (/.f64 1 n))) (+.f64 (/.f64 x n) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (cbrt.f64 (pow.f64 n -2))) (/.f64 1 (cbrt.f64 n)) (-.f64 1 (pow.f64 x (/.f64 1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (cbrt.f64 (pow.f64 n -2))) (/.f64 1 (cbrt.f64 n)) (*.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 n -1/2)) (pow.f64 n -1/2) (-.f64 1 (pow.f64 x (/.f64 1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 n -1/2)) (pow.f64 n -1/2) (*.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) 1))))))

simplify78.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
667×associate-*l/_binary64
570×div-sub_binary64
545×associate-*r/_binary64
339×fma-neg_binary64
269×associate-/r/_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
064509
1179491
2459467
31836424
47387424
Stop Event
1×node limit
Counts
190 → 185
Calls
Call 1
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) 1) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 (/.f64 x n) 1) (exp.f64 (/.f64 (log.f64 x) n)))
(/.f64 x n)
(-.f64 (+.f64 1 (/.f64 x n)) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))))
(-.f64 (+.f64 1 (/.f64 x n)) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))))
(-.f64 (+.f64 1 (/.f64 x n)) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))))
(/.f64 x n)
(-.f64 (+.f64 1 (/.f64 x n)) (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))
(-.f64 (+.f64 1 (/.f64 x n)) (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))
(-.f64 (+.f64 1 (/.f64 x n)) (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))
(/.f64 x n)
(-.f64 (+.f64 1 (/.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 1 (/.f64 x n)) (exp.f64 (/.f64 (log.f64 x) n)))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 (+.f64 (/.f64 x n) (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))) (/.f64 (log.f64 x) n))
(-.f64 (+.f64 (/.f64 x n) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))) (/.f64 (log.f64 x) n))
(-.f64 (+.f64 (/.f64 x n) (+.f64 (*.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))) (/.f64 (log.f64 x) n))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) (*.f64 -1 (log.f64 x))) n))
(+.f64 (*.f64 -1 (/.f64 (-.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 -1 (/.f64 (-.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 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))
(+.f64 (*.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))) (+.f64 (*.f64 -1 (/.f64 (-.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 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))))
Outputs
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(neg.f64 (expm1.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 (+.f64 1 (/.f64 x n)) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (/.f64 x n) (-.f64 (exp.f64 (/.f64 (log.f64 x) n)) 1))
(-.f64 (/.f64 x n) (expm1.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 (+.f64 1 (/.f64 x n)) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (/.f64 x n) (-.f64 (exp.f64 (/.f64 (log.f64 x) n)) 1))
(-.f64 (/.f64 x n) (expm1.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 (+.f64 1 (/.f64 x n)) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (/.f64 x n) (-.f64 (exp.f64 (/.f64 (log.f64 x) n)) 1))
(-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n)))
(/.f64 x n)
(-.f64 (+.f64 1 (/.f64 x n)) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))))
(+.f64 (/.f64 x n) (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))))
(-.f64 (+.f64 1 (/.f64 x n)) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (/.f64 x n) (-.f64 (exp.f64 (/.f64 (log.f64 x) n)) 1))
(-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 1 (/.f64 x n)) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))))
(+.f64 (/.f64 x n) (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))))
(-.f64 (+.f64 1 (/.f64 x n)) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (/.f64 x n) (-.f64 (exp.f64 (/.f64 (log.f64 x) n)) 1))
(-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 1 (/.f64 x n)) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))))
(+.f64 (/.f64 x n) (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))))
(-.f64 (+.f64 1 (/.f64 x n)) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (/.f64 x n) (-.f64 (exp.f64 (/.f64 (log.f64 x) n)) 1))
(-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n)))
(/.f64 x n)
(-.f64 (+.f64 1 (/.f64 x n)) (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))
(+.f64 (/.f64 x n) (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))))
(-.f64 (+.f64 1 (/.f64 x n)) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (/.f64 x n) (-.f64 (exp.f64 (/.f64 (log.f64 x) n)) 1))
(-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 1 (/.f64 x n)) (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))
(+.f64 (/.f64 x n) (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))))
(-.f64 (+.f64 1 (/.f64 x n)) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (/.f64 x n) (-.f64 (exp.f64 (/.f64 (log.f64 x) n)) 1))
(-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 1 (/.f64 x n)) (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))
(+.f64 (/.f64 x n) (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))))
(-.f64 (+.f64 1 (/.f64 x n)) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (/.f64 x n) (-.f64 (exp.f64 (/.f64 (log.f64 x) n)) 1))
(-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n)))
(/.f64 x n)
(-.f64 (+.f64 1 (/.f64 x n)) (exp.f64 (/.f64 (log.f64 x) n)))
(+.f64 (/.f64 x n) (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))))
(-.f64 (/.f64 x n) (-.f64 (exp.f64 (/.f64 (log.f64 x) n)) 1))
(-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 1 (/.f64 x n)) (exp.f64 (/.f64 (log.f64 x) n)))
(+.f64 (/.f64 x n) (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))))
(-.f64 (/.f64 x n) (-.f64 (exp.f64 (/.f64 (log.f64 x) n)) 1))
(-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 1 (/.f64 x n)) (exp.f64 (/.f64 (log.f64 x) n)))
(+.f64 (/.f64 x n) (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))))
(-.f64 (/.f64 x n) (-.f64 (exp.f64 (/.f64 (log.f64 x) n)) 1))
(-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n)))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 (+.f64 (/.f64 x n) (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))) (/.f64 (log.f64 x) n))
(-.f64 (+.f64 (/.f64 x n) (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)))) (/.f64 (log.f64 x) n))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n))) (/.f64 (-.f64 x (log.f64 x)) n))
(fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (/.f64 (-.f64 x (log.f64 x)) n))
(-.f64 (+.f64 (/.f64 x n) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))) (/.f64 (log.f64 x) n))
(+.f64 (/.f64 x n) (-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))) (/.f64 (log.f64 x) n)))
(+.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))) (/.f64 (-.f64 x (log.f64 x)) n))
(fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (fma.f64 -1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (-.f64 x (log.f64 x)) n)))
(fma.f64 -1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (/.f64 (-.f64 x (log.f64 x)) n)))
(-.f64 (+.f64 (/.f64 x n) (+.f64 (*.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))) (/.f64 (log.f64 x) n))
(-.f64 (+.f64 (/.f64 x n) (fma.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)) (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))) (/.f64 (log.f64 x) n))
(+.f64 (fma.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)) (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))) (/.f64 (-.f64 x (log.f64 x)) n))
(fma.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)) (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (fma.f64 -1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (-.f64 x (log.f64 x)) n))))
(fma.f64 -1/24 (pow.f64 (/.f64 (log.f64 x) n) 4) (fma.f64 -1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (/.f64 (-.f64 x (log.f64 x)) n))))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) (*.f64 -1 (log.f64 x))) n))
(/.f64 (-.f64 x (log.f64 x)) n)
(+.f64 (*.f64 -1 (/.f64 (-.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 x n) (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)))) (/.f64 (log.f64 x) n))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n))) (/.f64 (-.f64 x (log.f64 x)) n))
(fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (/.f64 (-.f64 x (log.f64 x)) n))
(+.f64 (*.f64 -1 (/.f64 (-.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 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))
(+.f64 (/.f64 x n) (-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))) (/.f64 (log.f64 x) n)))
(+.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))) (/.f64 (-.f64 x (log.f64 x)) n))
(fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (fma.f64 -1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (-.f64 x (log.f64 x)) n)))
(fma.f64 -1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (/.f64 (-.f64 x (log.f64 x)) n)))
(+.f64 (*.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))) (+.f64 (*.f64 -1 (/.f64 (-.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 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))))
(-.f64 (+.f64 (/.f64 x n) (fma.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)) (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))) (/.f64 (log.f64 x) n))
(+.f64 (fma.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)) (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))) (/.f64 (-.f64 x (log.f64 x)) n))
(fma.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)) (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (fma.f64 -1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (-.f64 x (log.f64 x)) n))))
(fma.f64 -1/24 (pow.f64 (/.f64 (log.f64 x) n) 4) (fma.f64 -1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (/.f64 (-.f64 x (log.f64 x)) n))))

localize21.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.1b
(/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))
✓0.1b
(pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1)
1.4b
(-.f64 (log1p.f64 x) (log.f64 x))
Compiler

Compiled 30 to 9 computations (70% saved)

series19.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
5.0ms
n
@-inf
(pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1)
3.0ms
x
@0
(pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1)
2.0ms
x
@inf
(pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1)
2.0ms
n
@0
(pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1)
2.0ms
x
@-inf
(pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1)

rewrite91.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
459×log-prod_binary64
412×prod-diff_binary64
354×exp-prod_binary64
271×pow-prod-down_binary64
250×pow2_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0925
119322
2260322
Stop Event
1×node limit
Counts
2 → 106
Calls
Call 1
Inputs
(pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1)
(/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 n (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 n) 2) (*.f64 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(log.f64 x)))) (/.f64 (cbrt.f64 n) (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 n (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (fma.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)) (pow.f64 (log1p.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 n (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (+.f64 (log1p.f64 x) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 n 3) (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))) 2)) (cbrt.f64 (log.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))))) (sqrt.f64 (log.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 n (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 n 3) (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 1) -1))))))

simplify87.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
937×fma-def_binary64
449×times-frac_binary64
315×associate-*l*_binary64
296×associate-*r*_binary64
291×associate-/l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01681280
15521209
219591080
Stop Event
1×node limit
Counts
154 → 147
Calls
Call 1
Inputs
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(*.f64 -1 (/.f64 (log.f64 x) n))
(+.f64 (/.f64 x n) (*.f64 -1 (/.f64 (log.f64 x) n)))
(+.f64 (/.f64 x n) (+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (*.f64 n (log.f64 x))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 n (pow.f64 (log.f64 x) 2))) (/.f64 n (pow.f64 (log.f64 x) 3))) (pow.f64 (log.f64 x) 2)) (pow.f64 n 2)))) (pow.f64 x 2)))))
(+.f64 (/.f64 x n) (+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 1/3 (/.f64 n (pow.f64 (log.f64 x) 2))) (+.f64 (*.f64 -1 (/.f64 n (pow.f64 (log.f64 x) 3))) (/.f64 n (pow.f64 (log.f64 x) 4)))) (pow.f64 (log.f64 x) 2)) (pow.f64 n 2))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 n (pow.f64 (log.f64 x) 2))) (/.f64 n (pow.f64 (log.f64 x) 3))) (log.f64 x)) (pow.f64 n 2)) (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (*.f64 n (log.f64 x))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 n (pow.f64 (log.f64 x) 2))) (/.f64 n (pow.f64 (log.f64 x) 3))) (pow.f64 (log.f64 x) 2)) (pow.f64 n 2)))) (log.f64 x))))) (pow.f64 x 3))) (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (*.f64 n (log.f64 x))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 n (pow.f64 (log.f64 x) 2))) (/.f64 n (pow.f64 (log.f64 x) 3))) (pow.f64 (log.f64 x) 2)) (pow.f64 n 2)))) (pow.f64 x 2))))))
(/.f64 1 (*.f64 n x))
(-.f64 (/.f64 1 (*.f64 n x)) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (/.f64 1 (*.f64 n x))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/4 n) (*.f64 1/3 n)) (*.f64 (pow.f64 n 2) (pow.f64 x 3))))))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/6 n) (+.f64 (*.f64 -1/4 n) (*.f64 1/2 (+.f64 (*.f64 1/3 n) (*.f64 -1/4 n))))) (pow.f64 n 2))) (+.f64 (*.f64 1/2 (-.f64 (*.f64 1/4 (/.f64 1 n)) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/3 n) (*.f64 -1/4 n)) (pow.f64 n 2))))) (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1/4 n) (*.f64 1/3 n)) (pow.f64 n 2))))) (pow.f64 x 4))) (/.f64 1 (*.f64 n x)))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/4 n) (*.f64 1/3 n)) (*.f64 (pow.f64 n 2) (pow.f64 x 3))))))
(/.f64 1 (*.f64 n x))
(-.f64 (/.f64 1 (*.f64 n x)) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/4 n) (*.f64 -1/3 n)) (*.f64 (pow.f64 n 2) (pow.f64 x 3)))) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (/.f64 1 (*.f64 n x)))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/6 n) (+.f64 (*.f64 -1/4 n) (*.f64 -1/2 (+.f64 (*.f64 1/4 n) (*.f64 -1/3 n))))) (pow.f64 n 2))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 1/4 n) (*.f64 -1/3 n)) (pow.f64 n 2))) (*.f64 1/2 (+.f64 (*.f64 1/4 (/.f64 1 n)) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/4 n) (*.f64 -1/3 n)) (pow.f64 n 2))))))) (pow.f64 x 4))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/4 n) (*.f64 -1/3 n)) (*.f64 (pow.f64 n 2) (pow.f64 x 3)))) (/.f64 1 (*.f64 n x))))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(/.f64 n (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
(/.f64 n (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
(/.f64 n (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
(/.f64 n (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
(/.f64 n (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
(/.f64 n (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
(/.f64 n (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
(/.f64 n (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
(/.f64 n (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
(/.f64 n (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
(/.f64 n (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
(/.f64 n (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
(*.f64 -1 (/.f64 n (log.f64 x)))
(+.f64 (*.f64 -1 (/.f64 n (log.f64 x))) (*.f64 -1 (/.f64 (*.f64 n x) (pow.f64 (log.f64 x) 2))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 n (pow.f64 (log.f64 x) 2))) (/.f64 n (pow.f64 (log.f64 x) 3))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 n (log.f64 x))) (*.f64 -1 (/.f64 (*.f64 n x) (pow.f64 (log.f64 x) 2)))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 n (pow.f64 (log.f64 x) 2))) (/.f64 n (pow.f64 (log.f64 x) 3))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/3 (/.f64 n (pow.f64 (log.f64 x) 2))) (+.f64 (*.f64 -1 (/.f64 n (pow.f64 (log.f64 x) 3))) (/.f64 n (pow.f64 (log.f64 x) 4)))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 n (log.f64 x))) (*.f64 -1 (/.f64 (*.f64 n x) (pow.f64 (log.f64 x) 2))))))
(*.f64 n x)
(+.f64 (*.f64 n x) (*.f64 1/2 n))
(+.f64 (*.f64 n x) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/4 n) (*.f64 1/3 n)) x)) (*.f64 1/2 n)))
(+.f64 (*.f64 n x) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/4 n) (*.f64 1/3 n)) x)) (+.f64 (*.f64 1/2 n) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (+.f64 (*.f64 -1/4 n) (*.f64 1/3 n))) (+.f64 (*.f64 1/6 n) (*.f64 -1/4 n))) (pow.f64 x 2))))))
(*.f64 n x)
(+.f64 (*.f64 n x) (*.f64 1/2 n))
(+.f64 (*.f64 n x) (+.f64 (*.f64 1/4 (/.f64 n x)) (+.f64 (*.f64 1/2 n) (*.f64 -1/3 (/.f64 n x)))))
(+.f64 (*.f64 n x) (+.f64 (*.f64 1/4 (/.f64 n x)) (+.f64 (*.f64 1/2 n) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/6 n) (+.f64 (*.f64 -1/4 n) (*.f64 -1/2 (+.f64 (*.f64 1/4 n) (*.f64 -1/3 n))))) (pow.f64 x 2))) (*.f64 -1/3 (/.f64 n x))))))
Outputs
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(*.f64 -1 (/.f64 (log.f64 x) n))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (neg.f64 (log.f64 x)) n)
(+.f64 (/.f64 x n) (*.f64 -1 (/.f64 (log.f64 x) n)))
(+.f64 (neg.f64 (/.f64 (log.f64 x) n)) (/.f64 x n))
(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n))
(+.f64 (/.f64 x n) (+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (*.f64 n (log.f64 x))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 n (pow.f64 (log.f64 x) 2))) (/.f64 n (pow.f64 (log.f64 x) 3))) (pow.f64 (log.f64 x) 2)) (pow.f64 n 2)))) (pow.f64 x 2)))))
(+.f64 (/.f64 x n) (fma.f64 -1 (/.f64 (log.f64 x) n) (neg.f64 (*.f64 (+.f64 (/.f64 1 (*.f64 (log.f64 x) n)) (neg.f64 (/.f64 (fma.f64 -1/2 (/.f64 n (pow.f64 (log.f64 x) 2)) (/.f64 n (pow.f64 (log.f64 x) 3))) (/.f64 (*.f64 n n) (pow.f64 (log.f64 x) 2))))) (*.f64 x x)))))
(-.f64 (-.f64 (/.f64 x n) (/.f64 (log.f64 x) n)) (*.f64 x (*.f64 x (-.f64 (/.f64 (/.f64 1 n) (log.f64 x)) (*.f64 (/.f64 (pow.f64 (log.f64 x) 2) n) (/.f64 (fma.f64 -1/2 (/.f64 n (pow.f64 (log.f64 x) 2)) (/.f64 n (pow.f64 (log.f64 x) 3))) n))))))
(-.f64 (/.f64 x n) (fma.f64 (-.f64 (/.f64 (/.f64 1 n) (log.f64 x)) (*.f64 (/.f64 (pow.f64 (log.f64 x) 2) n) (/.f64 (fma.f64 -1/2 (/.f64 n (pow.f64 (log.f64 x) 2)) (/.f64 n (pow.f64 (log.f64 x) 3))) n))) (*.f64 x x) (/.f64 (log.f64 x) n)))
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(fma.f64 x n (fma.f64 1/4 (/.f64 n x) (fma.f64 n 1/2 (*.f64 -1/3 (/.f64 n x)))))
(fma.f64 x n (fma.f64 n 1/2 (*.f64 (/.f64 n x) -1/12)))
(+.f64 (*.f64 n x) (+.f64 (*.f64 1/4 (/.f64 n x)) (+.f64 (*.f64 1/2 n) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/6 n) (+.f64 (*.f64 -1/4 n) (*.f64 -1/2 (+.f64 (*.f64 1/4 n) (*.f64 -1/3 n))))) (pow.f64 x 2))) (*.f64 -1/3 (/.f64 n x))))))
(fma.f64 n x (fma.f64 1/4 (/.f64 n x) (fma.f64 1/2 n (fma.f64 -1 (/.f64 (+.f64 (*.f64 n -1/12) (*.f64 -1/2 (*.f64 n -1/12))) (*.f64 x x)) (/.f64 (*.f64 n -1/3) x)))))
(fma.f64 x n (fma.f64 1/4 (/.f64 n x) (fma.f64 n 1/2 (-.f64 (*.f64 -1/3 (/.f64 n x)) (/.f64 (*.f64 1/2 (*.f64 n -1/12)) (*.f64 x x))))))
(-.f64 (fma.f64 x n (fma.f64 n 1/2 (*.f64 (/.f64 n x) -1/12))) (/.f64 (*.f64 n -1/24) (*.f64 x x)))

localize26.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
0.1b
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
✓0.1b
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2)
1.4b
(-.f64 (log1p.f64 x) (log.f64 x))
Compiler

Compiled 39 to 10 computations (74.4% saved)

series24.0ms (0.1%)

Counts
2 → 8
Calls

12 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2)
3.0ms
x
@inf
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2)
3.0ms
n
@-inf
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2)
3.0ms
x
@0
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2)
2.0ms
n
@0
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2)

rewrite173.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
576×prod-diff_binary64
476×log-prod_binary64
295×pow-prod-down_binary64
254×pow2_binary64
202×fma-def_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01024
122024
2274224
Stop Event
1×node limit
Counts
2 → 234
Calls
Call 1
Inputs
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2)
(sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 1/6) (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 1/4) (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (pow.f64 n -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 n) (sqrt.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 n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) (sqrt.f64 (neg.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) (neg.f64 (sqrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 n) (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/2 (log.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 1/4)) 2))))))

simplify60.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
873×times-frac_binary64
816×associate-/l*_binary64
601×associate-/r*_binary64
290×associate-/r/_binary64
284×distribute-rgt-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
066503
1186442
2605428
32518423
Stop Event
1×node limit
Counts
242 → 250
Calls
Call 1
Inputs
(/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 x)) n)
(+.f64 (/.f64 x n) (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 x)) n))
(+.f64 (/.f64 x n) (+.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 1/2 (/.f64 1 n)) (pow.f64 (*.f64 1/2 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (*.f64 n (log.f64 x)))))) 2))) (*.f64 1/4 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 n (log.f64 x)))))) (pow.f64 x 2)) (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 x)) n)))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) n)) (+.f64 (/.f64 x n) (+.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 1/2 (/.f64 1 n)) (pow.f64 (*.f64 1/2 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (*.f64 n (log.f64 x)))))) 2))) (*.f64 1/4 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 n (log.f64 x)))))) (pow.f64 x 2)) (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 x)) n))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 x) n)) (sqrt.f64 -1))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 n (log.f64 x)))) (/.f64 x (sqrt.f64 -1)))) (*.f64 (sqrt.f64 (/.f64 (log.f64 x) n)) (sqrt.f64 -1)))
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 n (log.f64 x))) (/.f64 (*.f64 (+.f64 (*.f64 1/2 (/.f64 1 n)) (pow.f64 (*.f64 1/2 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (*.f64 n (log.f64 x)))))) 2)) (pow.f64 x 2)) (sqrt.f64 -1)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 n (log.f64 x)))) (/.f64 x (sqrt.f64 -1)))) (*.f64 (sqrt.f64 (/.f64 (log.f64 x) n)) (sqrt.f64 -1))))
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 n (log.f64 x))) (/.f64 (*.f64 (+.f64 (*.f64 1/2 (/.f64 1 n)) (pow.f64 (*.f64 1/2 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (*.f64 n (log.f64 x)))))) 2)) (pow.f64 x 2)) (sqrt.f64 -1)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 n (log.f64 x)))) (/.f64 x (sqrt.f64 -1)))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 (*.f64 (-.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 n)) (pow.f64 (*.f64 1/2 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (*.f64 n (log.f64 x)))))) 2)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 x))))) (pow.f64 x 3)) (sqrt.f64 -1)) (sqrt.f64 (/.f64 n (log.f64 x))))) (*.f64 (sqrt.f64 (/.f64 (log.f64 x) n)) (sqrt.f64 -1)))))
Outputs
(/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 x)) n)
(*.f64 (/.f64 -1 n) (log.f64 x))
(/.f64 (neg.f64 (log.f64 x)) n)
(+.f64 (/.f64 x n) (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 x)) n))
(+.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 x)) n) (/.f64 x n))
(+.f64 (*.f64 (/.f64 -1 n) (log.f64 x)) (/.f64 x n))
(fma.f64 (/.f64 -1 n) (log.f64 x) (/.f64 x n))
(+.f64 (/.f64 x n) (+.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 1/2 (/.f64 1 n)) (pow.f64 (*.f64 1/2 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (*.f64 n (log.f64 x)))))) 2))) (*.f64 1/4 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 n (log.f64 x)))))) (pow.f64 x 2)) (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 x)) n)))
(+.f64 (/.f64 x n) (fma.f64 (fma.f64 -1 (+.f64 (/.f64 1/2 n) (pow.f64 (*.f64 1/2 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (*.f64 (log.f64 x) n))))) 2)) (/.f64 1/4 (*.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) n) (log.f64 x)))) (*.f64 x x) (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 x)) n)))
(+.f64 (/.f64 x n) (fma.f64 (-.f64 (/.f64 -1/4 (*.f64 (log.f64 x) n)) (+.f64 (/.f64 1/2 n) (pow.f64 (*.f64 1/2 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 (log.f64 x) n))) (sqrt.f64 -1))) 2))) (*.f64 x x) (*.f64 (/.f64 -1 n) (log.f64 x))))
(fma.f64 (+.f64 (-.f64 (/.f64 -1/2 n) (pow.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (log.f64 x) n))) (/.f64 1/2 (sqrt.f64 -1))) 2)) (/.f64 (/.f64 -1/4 n) (log.f64 x))) (*.f64 x x) (fma.f64 (/.f64 -1 n) (log.f64 x) (/.f64 x n)))
(fma.f64 x (*.f64 x (+.f64 (-.f64 (/.f64 -1/2 n) (pow.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (log.f64 x) n))) (/.f64 1/2 (sqrt.f64 -1))) 2)) (/.f64 (/.f64 -1/4 n) (log.f64 x)))) (fma.f64 (/.f64 -1 n) (log.f64 x) (/.f64 x n)))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) n)) (+.f64 (/.f64 x n) (+.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 1/2 (/.f64 1 n)) (pow.f64 (*.f64 1/2 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (*.f64 n (log.f64 x)))))) 2))) (*.f64 1/4 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 n (log.f64 x)))))) (pow.f64 x 2)) (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 x)) n))))
(fma.f64 1/3 (/.f64 (pow.f64 x 3) n) (+.f64 (/.f64 x n) (fma.f64 (fma.f64 -1 (+.f64 (/.f64 1/2 n) (pow.f64 (*.f64 1/2 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (*.f64 (log.f64 x) n))))) 2)) (/.f64 1/4 (*.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) n) (log.f64 x)))) (*.f64 x x) (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 x)) n))))
(+.f64 (fma.f64 (-.f64 (/.f64 -1/4 (*.f64 (log.f64 x) n)) (+.f64 (/.f64 1/2 n) (pow.f64 (*.f64 1/2 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 (log.f64 x) n))) (sqrt.f64 -1))) 2))) (*.f64 x x) (*.f64 (/.f64 -1 n) (log.f64 x))) (fma.f64 1/3 (/.f64 (pow.f64 x 3) n) (/.f64 x n)))
(fma.f64 1/3 (/.f64 (pow.f64 x 3) n) (fma.f64 (+.f64 (-.f64 (/.f64 -1/2 n) (pow.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (log.f64 x) n))) (/.f64 1/2 (sqrt.f64 -1))) 2)) (/.f64 (/.f64 -1/4 n) (log.f64 x))) (*.f64 x x) (fma.f64 (/.f64 -1 n) (log.f64 x) (/.f64 x n))))
(fma.f64 1/3 (/.f64 (pow.f64 x 3) n) (fma.f64 x (*.f64 x (+.f64 (-.f64 (/.f64 -1/2 n) (pow.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (log.f64 x) n))) (/.f64 1/2 (sqrt.f64 -1))) 2)) (/.f64 (/.f64 -1/4 n) (log.f64 x)))) (fma.f64 (/.f64 -1 n) (log.f64 x) (/.f64 x n))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 x) n)) (sqrt.f64 -1))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (log.f64 x) n)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 n (log.f64 x)))) (/.f64 x (sqrt.f64 -1)))) (*.f64 (sqrt.f64 (/.f64 (log.f64 x) n)) (sqrt.f64 -1)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (log.f64 x) n))) (/.f64 x (sqrt.f64 -1))) (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (log.f64 x) n))))
(fma.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (log.f64 x) n)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (log.f64 x) n))) (/.f64 x (sqrt.f64 -1)))))
(fma.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (log.f64 x) n)) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (log.f64 x) n))) (*.f64 1/2 (/.f64 x (sqrt.f64 -1)))))
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 n (log.f64 x))) (/.f64 (*.f64 (+.f64 (*.f64 1/2 (/.f64 1 n)) (pow.f64 (*.f64 1/2 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (*.f64 n (log.f64 x)))))) 2)) (pow.f64 x 2)) (sqrt.f64 -1)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 n (log.f64 x)))) (/.f64 x (sqrt.f64 -1)))) (*.f64 (sqrt.f64 (/.f64 (log.f64 x) n)) (sqrt.f64 -1))))
(fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 n (log.f64 x))) (/.f64 (+.f64 (/.f64 1/2 n) (pow.f64 (*.f64 1/2 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (*.f64 (log.f64 x) n))))) 2)) (/.f64 (sqrt.f64 -1) (*.f64 x x)))) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (log.f64 x) n))) (/.f64 x (sqrt.f64 -1))) (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (log.f64 x) n)))))
(fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 n (log.f64 x))) (/.f64 (+.f64 (/.f64 1/2 n) (pow.f64 (*.f64 1/2 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 (log.f64 x) n))) (sqrt.f64 -1))) 2)) (/.f64 (sqrt.f64 -1) (*.f64 x x)))) (fma.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (log.f64 x) n)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (log.f64 x) n))) (/.f64 x (sqrt.f64 -1))))))
(fma.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (log.f64 x) n)) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (log.f64 x) n))) (/.f64 x (sqrt.f64 -1))) (/.f64 (*.f64 (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 n (log.f64 x)))) (fma.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (log.f64 x) n))) (/.f64 1/2 (sqrt.f64 -1))) 2) -1/2 (/.f64 -1/4 n))) (sqrt.f64 -1))))
(fma.f64 (sqrt.f64 (/.f64 n (log.f64 x))) (*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (log.f64 x) n))) (/.f64 1/2 (sqrt.f64 -1))) 2) -1/2 (/.f64 -1/4 n)) (/.f64 (sqrt.f64 -1) x)) x) (fma.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (log.f64 x) n)) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (log.f64 x) n))) (*.f64 1/2 (/.f64 x (sqrt.f64 -1))))))
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 n (log.f64 x))) (/.f64 (*.f64 (+.f64 (*.f64 1/2 (/.f64 1 n)) (pow.f64 (*.f64 1/2 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (*.f64 n (log.f64 x)))))) 2)) (pow.f64 x 2)) (sqrt.f64 -1)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 n (log.f64 x)))) (/.f64 x (sqrt.f64 -1)))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 (*.f64 (-.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 n)) (pow.f64 (*.f64 1/2 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (*.f64 n (log.f64 x)))))) 2)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 x))))) (pow.f64 x 3)) (sqrt.f64 -1)) (sqrt.f64 (/.f64 n (log.f64 x))))) (*.f64 (sqrt.f64 (/.f64 (log.f64 x) n)) (sqrt.f64 -1)))))
(fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 n (log.f64 x))) (/.f64 (+.f64 (/.f64 1/2 n) (pow.f64 (*.f64 1/2 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (*.f64 (log.f64 x) n))))) 2)) (/.f64 (sqrt.f64 -1) (*.f64 x x)))) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (log.f64 x) n))) (/.f64 x (sqrt.f64 -1))) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 n (log.f64 x))) (/.f64 (-.f64 (/.f64 1/3 n) (*.f64 -1/2 (/.f64 (+.f64 (/.f64 1/2 n) (pow.f64 (*.f64 1/2 (*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (*.f64 (log.f64 x) n))))) 2)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 x))))) (/.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (log.f64 x) n))))))
(fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 n (log.f64 x))) (/.f64 (+.f64 (/.f64 1/2 n) (pow.f64 (*.f64 1/2 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 (log.f64 x) n))) (sqrt.f64 -1))) 2)) (/.f64 (sqrt.f64 -1) (*.f64 x x)))) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (log.f64 x) n))) (/.f64 x (sqrt.f64 -1))) (fma.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (log.f64 x) n)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 n (log.f64 x))) (*.f64 (/.f64 (-.f64 (/.f64 1/3 n) (*.f64 1/2 (/.f64 (+.f64 (/.f64 1/2 n) (pow.f64 (*.f64 1/2 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 (log.f64 x) n))) (sqrt.f64 -1))) 2)) (log.f64 x)))) (sqrt.f64 -1)) (pow.f64 x 3)))))))
(fma.f64 1/2 (fma.f64 (sqrt.f64 (/.f64 1 (*.f64 (log.f64 x) n))) (/.f64 x (sqrt.f64 -1)) (*.f64 (sqrt.f64 (/.f64 n (log.f64 x))) (*.f64 (/.f64 (pow.f64 x 3) (sqrt.f64 -1)) (-.f64 (/.f64 1/3 n) (/.f64 (fma.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (log.f64 x) n))) (/.f64 1/2 (sqrt.f64 -1))) 2) -1/2 (/.f64 -1/4 n)) (neg.f64 (log.f64 x))))))) (fma.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (log.f64 x) n)) (/.f64 (*.f64 (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 n (log.f64 x)))) (fma.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (log.f64 x) n))) (/.f64 1/2 (sqrt.f64 -1))) 2) -1/2 (/.f64 -1/4 n))) (sqrt.f64 -1))))
(+.f64 (fma.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (log.f64 x) n)) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (log.f64 x) n))) (*.f64 1/2 (/.f64 x (sqrt.f64 -1))))) (*.f64 (sqrt.f64 (/.f64 n (log.f64 x))) (+.f64 (*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (log.f64 x) n))) (/.f64 1/2 (sqrt.f64 -1))) 2) -1/2 (/.f64 -1/4 n)) (/.f64 (sqrt.f64 -1) x)) x) (*.f64 1/2 (*.f64 (/.f64 (pow.f64 x 3) (sqrt.f64 -1)) (+.f64 (/.f64 1/3 n) (/.f64 (fma.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (log.f64 x) n))) (/.f64 1/2 (sqrt.f64 -1))) 2) -1/2 (/.f64 -1/4 n)) (log.f64 x))))))))

eval349.0ms (1.2%)

Compiler

Compiled 20637 to 9677 computations (53.1% saved)

prune812.0ms (2.8%)

Pruning

35 alts after pruning (31 fresh and 4 done)

PrunedKeptTotal
New89318911
Fresh121325
Picked101
Done145
Total90735942
Error
0.0b
Counts
942 → 35
Alt Table
Click to see full alt table
StatusErrorProgram
37.7b
(/.f64 (neg.f64 (log.f64 x)) n)
37.6b
(fma.f64 (/.f64 -1 n) (log.f64 x) (/.f64 x n))
16.8b
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 3)
34.2b
(/.f64 (-.f64 (*.f64 (log1p.f64 x) n) (*.f64 n (log.f64 x))) (*.f64 n n))
✓16.4b
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
✓48.3b
(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))
38.5b
(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 (/.f64 (pow.f64 x (/.f64 1 n)) x) (/.f64 1 n)))
44.3b
(pow.f64 (/.f64 1 (cbrt.f64 (*.f64 n x))) 3)
51.1b
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (cbrt.f64 1))
✓43.3b
(-.f64 1 (pow.f64 x (/.f64 1 n)))
30.1b
(neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))
29.5b
(pow.f64 (pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1/2) 2)
32.1b
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (cbrt.f64 (exp.f64 (*.f64 (/.f64 3 n) (log.f64 x)))))
16.6b
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (*.f64 n (+.f64 (log1p.f64 x) (log.f64 x))))
32.8b
(cbrt.f64 (pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -3))
43.7b
(/.f64 (/.f64 1 n) x)
▶61.0b
(/.f64 x n)
✓44.1b
(/.f64 1 (*.f64 n x))
16.5b
(pow.f64 (/.f64 n (pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2)) -1)
43.4b
(-.f64 1 (cbrt.f64 (pow.f64 x (*.f64 (/.f64 1 n) 3))))
43.7b
(*.f64 (/.f64 1 n) (/.f64 1 x))
37.6b
(/.f64 (-.f64 x (log.f64 x)) n)
▶32.6b
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
▶40.0b
(/.f64 (log.f64 1) n)
44.7b
(*.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 (/.f64 1 x) n))
43.3b
(/.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (pow.f64 x (/.f64 2 n))) 3)) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
31.8b
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
▶16.4b
(pow.f64 (*.f64 (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x))) n) -1)
53.9b
(exp.f64 (neg.f64 (log.f64 (*.f64 n x))))
43.7b
(/.f64 (/.f64 1 x) n)
▶44.8b
(+.f64 (fma.f64 -1/2 (/.f64 (/.f64 (/.f64 (log.f64 x) n) (*.f64 x n)) x) (+.f64 (/.f64 (/.f64 (log.f64 x) n) (*.f64 x n)) (/.f64 (/.f64 1 x) n))) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (*.f64 x x)))
37.7b
(pow.f64 (/.f64 (neg.f64 n) (log.f64 x)) -1)
45.0b
(-.f64 (+.f64 1 (/.f64 1 (*.f64 n x))) 1)
43.3b
(pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x (/.f64 1 n)))) 3)
44.6b
(/.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1/3 x) -1/2))) n)
Compiler

Compiled 875 to 616 computations (29.6% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x)))
✓0.1b
(*.f64 (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x))) n)
✓0.1b
(pow.f64 (*.f64 (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x))) n) -1)
1.4b
(-.f64 (log1p.f64 x) (log.f64 x))
Compiler

Compiled 42 to 17 computations (59.5% saved)

series6.0ms (0%)

Counts
3 → 60
Calls

15 calls:

TimeVariablePointExpression
1.0ms
x
@0
(/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x)))
1.0ms
x
@0
(pow.f64 (*.f64 (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x))) n) -1)
0.0ms
x
@inf
(pow.f64 (*.f64 (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x))) n) -1)
0.0ms
x
@-inf
(pow.f64 (*.f64 (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x))) n) -1)
0.0ms
x
@0
(*.f64 (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x))) n)

rewrite70.0ms (0.2%)

Algorithm
1×batch-egg-rewrite
Rules
519×log-prod_binary64
403×prod-diff_binary64
320×pow-prod-down_binary64
285×pow2_binary64
209×pow-to-exp_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01136
122933
2288633
Stop Event
1×node limit
Counts
3 → 103
Calls
Call 1
Inputs
(pow.f64 (*.f64 (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x))) n) -1)
(*.f64 (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x))) n)
(/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (/.f64 1 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2) (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) -2) (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 n) (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (sqrt.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) -2) (cbrt.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) 2)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) 2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 n) 2) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 n) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 n) (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 n (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 n 1) (-.f64 (log1p.f64 x) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 n (cbrt.f64 (pow.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 (*.f64 -1 n) (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 n -1) (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 n 3) (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 n 3) (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))) 2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (-.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 -1 (/.f64 1 (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x)))) (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) -2)) (cbrt.f64 (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) -1/2) (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) -2) (cbrt.f64 (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (fma.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)) (pow.f64 (log1p.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (+.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 (/.f64 1 (-.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)) 2) -1/2)))) (#(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 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) -2) 1/2)))) (#(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 (cbrt.f64 (/.f64 1 (-.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 pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) -1)))) (#(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 log.f64 (exp.f64 (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x))))))))) (#(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 1 (-.f64 (log1p.f64 x) (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) -3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) 2))))))

simplify58.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
458×times-frac_binary64
340×associate-*l*_binary64
321×associate-*r*_binary64
316×associate-/r*_binary64
302×associate-/l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02001520
16501437
222351311
Stop Event
1×node limit
Counts
163 → 157
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 (log.f64 x) n))
(+.f64 (/.f64 x n) (*.f64 -1 (/.f64 (log.f64 x) n)))
(+.f64 (/.f64 x n) (+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (*.f64 n (log.f64 x))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 n (pow.f64 (log.f64 x) 2))) (/.f64 n (pow.f64 (log.f64 x) 3))) (pow.f64 (log.f64 x) 2)) (pow.f64 n 2)))) (pow.f64 x 2)))))
(+.f64 (/.f64 x n) (+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 1/3 (/.f64 n (pow.f64 (log.f64 x) 2))) (+.f64 (*.f64 -1 (/.f64 n (pow.f64 (log.f64 x) 3))) (/.f64 n (pow.f64 (log.f64 x) 4)))) (pow.f64 (log.f64 x) 2)) (pow.f64 n 2))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 n (pow.f64 (log.f64 x) 2))) (/.f64 n (pow.f64 (log.f64 x) 3))) (log.f64 x)) (pow.f64 n 2)) (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (*.f64 n (log.f64 x))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 n (pow.f64 (log.f64 x) 2))) (/.f64 n (pow.f64 (log.f64 x) 3))) (pow.f64 (log.f64 x) 2)) (pow.f64 n 2)))) (log.f64 x))))) (pow.f64 x 3))) (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (*.f64 n (log.f64 x))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 n (pow.f64 (log.f64 x) 2))) (/.f64 n (pow.f64 (log.f64 x) 3))) (pow.f64 (log.f64 x) 2)) (pow.f64 n 2)))) (pow.f64 x 2))))))
(/.f64 1 (*.f64 n x))
(-.f64 (/.f64 1 (*.f64 n x)) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (/.f64 1 (*.f64 n x))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/4 n) (*.f64 1/3 n)) (*.f64 (pow.f64 n 2) (pow.f64 x 3))))))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/6 n) (+.f64 (*.f64 -1/4 n) (*.f64 1/2 (+.f64 (*.f64 1/3 n) (*.f64 -1/4 n))))) (pow.f64 n 2))) (+.f64 (*.f64 1/2 (-.f64 (*.f64 1/4 (/.f64 1 n)) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/3 n) (*.f64 -1/4 n)) (pow.f64 n 2))))) (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1/4 n) (*.f64 1/3 n)) (pow.f64 n 2))))) (pow.f64 x 4))) (/.f64 1 (*.f64 n x)))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/4 n) (*.f64 1/3 n)) (*.f64 (pow.f64 n 2) (pow.f64 x 3))))))
(/.f64 1 (*.f64 n x))
(-.f64 (/.f64 1 (*.f64 n x)) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/4 n) (*.f64 -1/3 n)) (*.f64 (pow.f64 n 2) (pow.f64 x 3)))) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (/.f64 1 (*.f64 n x)))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/6 n) (+.f64 (*.f64 -1/4 n) (*.f64 -1/2 (+.f64 (*.f64 1/4 n) (*.f64 -1/3 n))))) (pow.f64 n 2))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 1/4 n) (*.f64 -1/3 n)) (pow.f64 n 2))) (*.f64 1/2 (+.f64 (*.f64 1/4 (/.f64 1 n)) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/4 n) (*.f64 -1/3 n)) (pow.f64 n 2))))))) (pow.f64 x 4))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/4 n) (*.f64 -1/3 n)) (*.f64 (pow.f64 n 2) (pow.f64 x 3)))) (/.f64 1 (*.f64 n x))))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(*.f64 -1 (/.f64 n (log.f64 x)))
(+.f64 (*.f64 -1 (/.f64 n (log.f64 x))) (*.f64 -1 (/.f64 (*.f64 n x) (pow.f64 (log.f64 x) 2))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 n (pow.f64 (log.f64 x) 2))) (/.f64 n (pow.f64 (log.f64 x) 3))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 n (log.f64 x))) (*.f64 -1 (/.f64 (*.f64 n x) (pow.f64 (log.f64 x) 2)))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 n (pow.f64 (log.f64 x) 2))) (/.f64 n (pow.f64 (log.f64 x) 3))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/3 (/.f64 n (pow.f64 (log.f64 x) 2))) (+.f64 (*.f64 -1 (/.f64 n (pow.f64 (log.f64 x) 3))) (/.f64 n (pow.f64 (log.f64 x) 4)))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 n (log.f64 x))) (*.f64 -1 (/.f64 (*.f64 n x) (pow.f64 (log.f64 x) 2))))))
(*.f64 n x)
(+.f64 (*.f64 n x) (*.f64 1/2 n))
(+.f64 (*.f64 n x) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/4 n) (*.f64 1/3 n)) x)) (*.f64 1/2 n)))
(+.f64 (*.f64 n x) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/4 n) (*.f64 1/3 n)) x)) (+.f64 (*.f64 1/2 n) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (+.f64 (*.f64 -1/4 n) (*.f64 1/3 n))) (+.f64 (*.f64 1/6 n) (*.f64 -1/4 n))) (pow.f64 x 2))))))
(*.f64 n x)
(+.f64 (*.f64 n x) (*.f64 1/2 n))
(+.f64 (*.f64 n x) (+.f64 (*.f64 1/4 (/.f64 n x)) (+.f64 (*.f64 1/2 n) (*.f64 -1/3 (/.f64 n x)))))
(+.f64 (*.f64 n x) (+.f64 (*.f64 1/4 (/.f64 n x)) (+.f64 (*.f64 1/2 n) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/6 n) (+.f64 (*.f64 -1/4 n) (*.f64 -1/2 (+.f64 (*.f64 1/4 n) (*.f64 -1/3 n))))) (pow.f64 x 2))) (*.f64 -1/3 (/.f64 n x))))))
(/.f64 n (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
(/.f64 n (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
(/.f64 n (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
(/.f64 n (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
(/.f64 n (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
(/.f64 n (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
(/.f64 n (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
(/.f64 n (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
(/.f64 n (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
(/.f64 n (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
(/.f64 n (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
(/.f64 n (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
(/.f64 -1 (log.f64 x))
(-.f64 (*.f64 -1 (/.f64 x (pow.f64 (log.f64 x) 2))) (/.f64 1 (log.f64 x)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 x (pow.f64 (log.f64 x) 2))) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (log.f64 x) 2))) (/.f64 1 (pow.f64 (log.f64 x) 3))) (pow.f64 x 2))) (/.f64 1 (log.f64 x)))
(-.f64 (+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (log.f64 x) 3))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (log.f64 x) 2))) (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (log.f64 x) 2))) (/.f64 1 (pow.f64 (log.f64 x) 3))) (log.f64 x))))) (pow.f64 x 3)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 (log.f64 x) 2))) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (log.f64 x) 2))) (/.f64 1 (pow.f64 (log.f64 x) 3))) (pow.f64 x 2)))) (/.f64 1 (log.f64 x)))
x
(+.f64 1/2 x)
(-.f64 (+.f64 1/2 x) (*.f64 1/12 (/.f64 1 x)))
(-.f64 (+.f64 1/2 (+.f64 (*.f64 1/24 (/.f64 1 (pow.f64 x 2))) x)) (*.f64 1/12 (/.f64 1 x)))
x
(+.f64 1/2 x)
(-.f64 (+.f64 1/2 x) (*.f64 1/12 (/.f64 1 x)))
(-.f64 (+.f64 1/2 (+.f64 (*.f64 1/24 (/.f64 1 (pow.f64 x 2))) x)) (*.f64 1/12 (/.f64 1 x)))
Outputs
(*.f64 -1 (/.f64 (log.f64 x) n))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (neg.f64 (log.f64 x)) n)
(+.f64 (/.f64 x n) (*.f64 -1 (/.f64 (log.f64 x) n)))
(+.f64 (neg.f64 (/.f64 (log.f64 x) n)) (/.f64 x n))
(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n))
(+.f64 (/.f64 x n) (+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (*.f64 n (log.f64 x))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 n (pow.f64 (log.f64 x) 2))) (/.f64 n (pow.f64 (log.f64 x) 3))) (pow.f64 (log.f64 x) 2)) (pow.f64 n 2)))) (pow.f64 x 2)))))
(+.f64 (/.f64 x n) (fma.f64 -1 (/.f64 (log.f64 x) n) (neg.f64 (*.f64 (+.f64 (/.f64 1 (*.f64 (log.f64 x) n)) (neg.f64 (/.f64 (fma.f64 -1/2 (/.f64 n (pow.f64 (log.f64 x) 2)) (/.f64 n (pow.f64 (log.f64 x) 3))) (/.f64 (*.f64 n n) (pow.f64 (log.f64 x) 2))))) (*.f64 x x)))))
(-.f64 (-.f64 (/.f64 x n) (/.f64 (log.f64 x) n)) (*.f64 x (*.f64 x (-.f64 (/.f64 1 (*.f64 (log.f64 x) n)) (*.f64 (/.f64 (fma.f64 -1/2 (/.f64 n (pow.f64 (log.f64 x) 2)) (/.f64 n (pow.f64 (log.f64 x) 3))) n) (/.f64 (pow.f64 (log.f64 x) 2) n))))))
(-.f64 (/.f64 x n) (+.f64 (/.f64 (log.f64 x) n) (*.f64 (-.f64 (/.f64 (/.f64 1 (log.f64 x)) n) (*.f64 (/.f64 (fma.f64 -1/2 (/.f64 n (pow.f64 (log.f64 x) 2)) (/.f64 n (pow.f64 (log.f64 x) 3))) n) (/.f64 (pow.f64 (log.f64 x) 2) n))) (*.f64 x x))))
(+.f64 (/.f64 x n) (+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 1/3 (/.f64 n (pow.f64 (log.f64 x) 2))) (+.f64 (*.f64 -1 (/.f64 n (pow.f64 (log.f64 x) 3))) (/.f64 n (pow.f64 (log.f64 x) 4)))) (pow.f64 (log.f64 x) 2)) (pow.f64 n 2))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 n (pow.f64 (log.f64 x) 2))) (/.f64 n (pow.f64 (log.f64 x) 3))) (log.f64 x)) (pow.f64 n 2)) (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (*.f64 n (log.f64 x))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 n (pow.f64 (log.f64 x) 2))) (/.f64 n (pow.f64 (log.f64 x) 3))) (pow.f64 (log.f64 x) 2)) (pow.f64 n 2)))) (log.f64 x))))) (pow.f64 x 3))) (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (*.f64 n (log.f64 x))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 n (pow.f64 (log.f64 x) 2))) (/.f64 n (pow.f64 (log.f64 x) 3))) (pow.f64 (log.f64 x) 2)) (pow.f64 n 2)))) (pow.f64 x 2))))))
(+.f64 (/.f64 x n) (fma.f64 -1 (/.f64 (log.f64 x) n) (fma.f64 -1 (*.f64 (fma.f64 -1 (/.f64 (fma.f64 1/3 (/.f64 n (pow.f64 (log.f64 x) 2)) (fma.f64 -1 (/.f64 n (pow.f64 (log.f64 x) 3)) (/.f64 n (pow.f64 (log.f64 x) 4)))) (/.f64 (*.f64 n n) (pow.f64 (log.f64 x) 2))) (+.f64 (/.f64 (fma.f64 -1/2 (/.f64 n (pow.f64 (log.f64 x) 2)) (/.f64 n (pow.f64 (log.f64 x) 3))) (/.f64 (*.f64 n n) (log.f64 x))) (neg.f64 (/.f64 (+.f64 (/.f64 1 (*.f64 (log.f64 x) n)) (neg.f64 (/.f64 (fma.f64 -1/2 (/.f64 n (pow.f64 (log.f64 x) 2)) (/.f64 n (pow.f64 (log.f64 x) 3))) (/.f64 (*.f64 n n) (pow.f64 (log.f64 x) 2))))) (log.f64 x))))) (pow.f64 x 3)) (neg.f64 (*.f64 (+.f64 (/.f64 1 (*.f64 (log.f64 x) n)) (neg.f64 (/.f64 (fma.f64 -1/2 (/.f64 n (pow.f64 (log.f64 x) 2)) (/.f64 n (pow.f64 (log.f64 x) 3))) (/.f64 (*.f64 n n) (pow.f64 (log.f64 x) 2))))) (*.f64 x x))))))
(+.f64 (-.f64 (/.f64 x n) (/.f64 (log.f64 x) n)) (neg.f64 (fma.f64 (-.f64 (-.f64 (*.f64 (/.f64 (log.f64 x) n) (/.f64 (fma.f64 -1/2 (/.f64 n (pow.f64 (log.f64 x) 2)) (/.f64 n (pow.f64 (log.f64 x) 3))) n)) (/.f64 (-.f64 (/.f64 1 (*.f64 (log.f64 x) n)) (*.f64 (/.f64 (fma.f64 -1/2 (/.f64 n (pow.f64 (log.f64 x) 2)) (/.f64 n (pow.f64 (log.f64 x) 3))) n) (/.f64 (pow.f64 (log.f64 x) 2) n))) (log.f64 x))) (*.f64 (/.f64 (fma.f64 (/.f64 n (pow.f64 (log.f64 x) 2)) 1/3 (-.f64 (/.f64 n (pow.f64 (log.f64 x) 4)) (/.f64 n (pow.f64 (log.f64 x) 3)))) (*.f64 n n)) (pow.f64 (log.f64 x) 2))) (pow.f64 x 3) (*.f64 x (*.f64 x (-.f64 (/.f64 1 (*.f64 (log.f64 x) n)) (*.f64 (/.f64 (fma.f64 -1/2 (/.f64 n (pow.f64 (log.f64 x) 2)) (/.f64 n (pow.f64 (log.f64 x) 3))) n) (/.f64 (pow.f64 (log.f64 x) 2) n))))))))
(-.f64 (-.f64 (/.f64 x n) (/.f64 (log.f64 x) n)) (*.f64 (*.f64 x x) (+.f64 (-.f64 (/.f64 (/.f64 1 (log.f64 x)) n) (*.f64 (/.f64 (fma.f64 -1/2 (/.f64 n (pow.f64 (log.f64 x) 2)) (/.f64 n (pow.f64 (log.f64 x) 3))) n) (/.f64 (pow.f64 (log.f64 x) 2) n))) (*.f64 (-.f64 (*.f64 (/.f64 (log.f64 x) (*.f64 n n)) (fma.f64 -1/2 (/.f64 n (pow.f64 (log.f64 x) 2)) (/.f64 n (pow.f64 (log.f64 x) 3)))) (+.f64 (/.f64 (-.f64 (/.f64 (/.f64 1 (log.f64 x)) n) (*.f64 (/.f64 (fma.f64 -1/2 (/.f64 n (pow.f64 (log.f64 x) 2)) (/.f64 n (pow.f64 (log.f64 x) 3))) n) (/.f64 (pow.f64 (log.f64 x) 2) n))) (log.f64 x)) (*.f64 (/.f64 (pow.f64 (log.f64 x) 2) n) (/.f64 (+.f64 (/.f64 n (pow.f64 (log.f64 x) 4)) (*.f64 (/.f64 n (pow.f64 (log.f64 x) 2)) (+.f64 1/3 (/.f64 -1 (log.f64 x))))) n)))) x))))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 x n))
(-.f64 (/.f64 1 (*.f64 n x)) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/2 (*.f64 n (*.f64 x x))))
(+.f64 (/.f64 1 (*.f64 x n)) (/.f64 -1/2 (*.f64 n (*.f64 x x))))
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 (/.f64 1/2 x) (*.f64 x n)))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (/.f64 1 (*.f64 n x))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/4 n) (*.f64 1/3 n)) (*.f64 (pow.f64 n 2) (pow.f64 x 3))))))
(+.f64 (/.f64 1/4 (*.f64 n (pow.f64 x 3))) (-.f64 (/.f64 1 (*.f64 x n)) (+.f64 (/.f64 1/2 (*.f64 n (*.f64 x x))) (neg.f64 (/.f64 (*.f64 n 1/12) (*.f64 (*.f64 n n) (pow.f64 x 3)))))))
(+.f64 (/.f64 1 (*.f64 x n)) (-.f64 (/.f64 1/4 (*.f64 n (pow.f64 x 3))) (-.f64 (/.f64 1/2 (*.f64 n (*.f64 x x))) (*.f64 (/.f64 n (*.f64 n n)) (/.f64 1/12 (pow.f64 x 3))))))
(+.f64 (/.f64 1 (*.f64 x n)) (-.f64 (/.f64 1/4 (*.f64 n (pow.f64 x 3))) (-.f64 (/.f64 (/.f64 1/2 x) (*.f64 x n)) (/.f64 (/.f64 1/12 n) (pow.f64 x 3)))))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/6 n) (+.f64 (*.f64 -1/4 n) (*.f64 1/2 (+.f64 (*.f64 1/3 n) (*.f64 -1/4 n))))) (pow.f64 n 2))) (+.f64 (*.f64 1/2 (-.f64 (*.f64 1/4 (/.f64 1 n)) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/3 n) (*.f64 -1/4 n)) (pow.f64 n 2))))) (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1/4 n) (*.f64 1/3 n)) (pow.f64 n 2))))) (pow.f64 x 4))) (/.f64 1 (*.f64 n x)))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/4 n) (*.f64 1/3 n)) (*.f64 (pow.f64 n 2) (pow.f64 x 3))))))
(-.f64 (+.f64 (/.f64 1/4 (*.f64 n (pow.f64 x 3))) (fma.f64 -1 (/.f64 (fma.f64 -1 (/.f64 (fma.f64 1/2 (*.f64 n 1/12) (*.f64 n -1/12)) (*.f64 n n)) (*.f64 1/2 (+.f64 (-.f64 (/.f64 1/4 n) (neg.f64 (/.f64 (*.f64 n 1/12) (*.f64 n n)))) (/.f64 (*.f64 n 1/12) (*.f64 n n))))) (pow.f64 x 4)) (/.f64 1 (*.f64 x n)))) (+.f64 (/.f64 1/2 (*.f64 n (*.f64 x x))) (neg.f64 (/.f64 (*.f64 n 1/12) (*.f64 (*.f64 n n) (pow.f64 x 3))))))
(+.f64 (-.f64 (/.f64 1 (*.f64 x n)) (/.f64 (-.f64 (+.f64 (/.f64 (*.f64 n 1/24) (*.f64 n n)) (+.f64 (/.f64 (*.f64 n 1/24) (*.f64 n n)) (/.f64 1/8 n))) (/.f64 (*.f64 1/2 (*.f64 n -1/12)) (*.f64 n n))) (pow.f64 x 4))) (-.f64 (/.f64 1/4 (*.f64 n (pow.f64 x 3))) (-.f64 (/.f64 1/2 (*.f64 n (*.f64 x x))) (*.f64 (/.f64 n (*.f64 n n)) (/.f64 1/12 (pow.f64 x 3))))))
(-.f64 (/.f64 1 (*.f64 x n)) (-.f64 (/.f64 (+.f64 (/.f64 1/12 n) (+.f64 (/.f64 1/24 n) (/.f64 1/8 n))) (pow.f64 x 4)) (-.f64 (/.f64 1/4 (*.f64 n (pow.f64 x 3))) (-.f64 (/.f64 (/.f64 1/2 x) (*.f64 x n)) (/.f64 (/.f64 1/12 n) (pow.f64 x 3))))))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 x n))
(-.f64 (/.f64 1 (*.f64 n x)) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/2 (*.f64 n (*.f64 x x))))
(+.f64 (/.f64 1 (*.f64 x n)) (/.f64 -1/2 (*.f64 n (*.f64 x x))))
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 (/.f64 1/2 x) (*.f64 x n)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/4 n) (*.f64 -1/3 n)) (*.f64 (pow.f64 n 2) (pow.f64 x 3)))) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (/.f64 1 (*.f64 n x)))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(+.f64 (/.f64 1/4 (*.f64 n (pow.f64 x 3))) (-.f64 (/.f64 1 (*.f64 x n)) (+.f64 (/.f64 1/2 (*.f64 n (*.f64 x x))) (neg.f64 (/.f64 (*.f64 n 1/12) (*.f64 (*.f64 n n) (pow.f64 x 3)))))))
(+.f64 (/.f64 1 (*.f64 x n)) (-.f64 (/.f64 1/4 (*.f64 n (pow.f64 x 3))) (-.f64 (/.f64 1/2 (*.f64 n (*.f64 x x))) (*.f64 (/.f64 n (*.f64 n n)) (/.f64 1/12 (pow.f64 x 3))))))
(+.f64 (/.f64 1 (*.f64 x n)) (-.f64 (/.f64 1/4 (*.f64 n (pow.f64 x 3))) (-.f64 (/.f64 (/.f64 1/2 x) (*.f64 x n)) (/.f64 (/.f64 1/12 n) (pow.f64 x 3)))))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/6 n) (+.f64 (*.f64 -1/4 n) (*.f64 -1/2 (+.f64 (*.f64 1/4 n) (*.f64 -1/3 n))))) (pow.f64 n 2))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 1/4 n) (*.f64 -1/3 n)) (pow.f64 n 2))) (*.f64 1/2 (+.f64 (*.f64 1/4 (/.f64 1 n)) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/4 n) (*.f64 -1/3 n)) (pow.f64 n 2))))))) (pow.f64 x 4))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/4 n) (*.f64 -1/3 n)) (*.f64 (pow.f64 n 2) (pow.f64 x 3)))) (/.f64 1 (*.f64 n x))))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 1/4 (*.f64 n (pow.f64 x 3))) (fma.f64 -1 (/.f64 (fma.f64 -1 (/.f64 (fma.f64 1/2 (*.f64 n 1/12) (*.f64 n -1/12)) (*.f64 n n)) (*.f64 1/2 (+.f64 (-.f64 (/.f64 1/4 n) (neg.f64 (/.f64 (*.f64 n 1/12) (*.f64 n n)))) (/.f64 (*.f64 n 1/12) (*.f64 n n))))) (pow.f64 x 4)) (/.f64 1 (*.f64 x n)))) (+.f64 (/.f64 1/2 (*.f64 n (*.f64 x x))) (neg.f64 (/.f64 (*.f64 n 1/12) (*.f64 (*.f64 n n) (pow.f64 x 3))))))
(+.f64 (-.f64 (/.f64 1 (*.f64 x n)) (/.f64 (-.f64 (+.f64 (/.f64 (*.f64 n 1/24) (*.f64 n n)) (+.f64 (/.f64 (*.f64 n 1/24) (*.f64 n n)) (/.f64 1/8 n))) (/.f64 (*.f64 1/2 (*.f64 n -1/12)) (*.f64 n n))) (pow.f64 x 4))) (-.f64 (/.f64 1/4 (*.f64 n (pow.f64 x 3))) (-.f64 (/.f64 1/2 (*.f64 n (*.f64 x x))) (*.f64 (/.f64 n (*.f64 n n)) (/.f64 1/12 (pow.f64 x 3))))))
(-.f64 (/.f64 1 (*.f64 x n)) (-.f64 (/.f64 (+.f64 (/.f64 1/12 n) (+.f64 (/.f64 1/24 n) (/.f64 1/8 n))) (pow.f64 x 4)) (-.f64 (/.f64 1/4 (*.f64 n (pow.f64 x 3))) (-.f64 (/.f64 (/.f64 1/2 x) (*.f64 x n)) (/.f64 (/.f64 1/12 n) (pow.f64 x 3))))))
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(*.f64 -1 (/.f64 n (log.f64 x)))
(neg.f64 (/.f64 n (log.f64 x)))
(/.f64 (neg.f64 n) (log.f64 x))
(+.f64 (*.f64 -1 (/.f64 n (log.f64 x))) (*.f64 -1 (/.f64 (*.f64 n x) (pow.f64 (log.f64 x) 2))))
(fma.f64 -1 (/.f64 n (log.f64 x)) (neg.f64 (/.f64 (*.f64 x n) (pow.f64 (log.f64 x) 2))))
(-.f64 (/.f64 (*.f64 (neg.f64 n) x) (pow.f64 (log.f64 x) 2)) (/.f64 n (log.f64 x)))
(*.f64 (/.f64 n (log.f64 x)) (-.f64 -1 (/.f64 x (log.f64 x))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 n (pow.f64 (log.f64 x) 2))) (/.f64 n (pow.f64 (log.f64 x) 3))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 n (log.f64 x))) (*.f64 -1 (/.f64 (*.f64 n x) (pow.f64 (log.f64 x) 2)))))
(fma.f64 -1 (*.f64 (fma.f64 -1/2 (/.f64 n (pow.f64 (log.f64 x) 2)) (/.f64 n (pow.f64 (log.f64 x) 3))) (*.f64 x x)) (fma.f64 -1 (/.f64 n (log.f64 x)) (neg.f64 (/.f64 (*.f64 x n) (pow.f64 (log.f64 x) 2)))))
(-.f64 (-.f64 (/.f64 (*.f64 (neg.f64 n) x) (pow.f64 (log.f64 x) 2)) (/.f64 n (log.f64 x))) (*.f64 x (*.f64 x (fma.f64 -1/2 (/.f64 n (pow.f64 (log.f64 x) 2)) (/.f64 n (pow.f64 (log.f64 x) 3))))))
(-.f64 (*.f64 (/.f64 n (log.f64 x)) (-.f64 -1 (/.f64 x (log.f64 x)))) (*.f64 x (*.f64 x (fma.f64 -1/2 (/.f64 n (pow.f64 (log.f64 x) 2)) (/.f64 n (pow.f64 (log.f64 x) 3))))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 n (pow.f64 (log.f64 x) 2))) (/.f64 n (pow.f64 (log.f64 x) 3))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/3 (/.f64 n (pow.f64 (log.f64 x) 2))) (+.f64 (*.f64 -1 (/.f64 n (pow.f64 (log.f64 x) 3))) (/.f64 n (pow.f64 (log.f64 x) 4)))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 n (log.f64 x))) (*.f64 -1 (/.f64 (*.f64 n x) (pow.f64 (log.f64 x) 2))))))
(fma.f64 -1 (*.f64 (fma.f64 -1/2 (/.f64 n (pow.f64 (log.f64 x) 2)) (/.f64 n (pow.f64 (log.f64 x) 3))) (*.f64 x x)) (fma.f64 -1 (*.f64 (fma.f64 1/3 (/.f64 n (pow.f64 (log.f64 x) 2)) (fma.f64 -1 (/.f64 n (pow.f64 (log.f64 x) 3)) (/.f64 n (pow.f64 (log.f64 x) 4)))) (pow.f64 x 3)) (fma.f64 -1 (/.f64 n (log.f64 x)) (neg.f64 (/.f64 (*.f64 x n) (pow.f64 (log.f64 x) 2))))))
(-.f64 (-.f64 (-.f64 (/.f64 (*.f64 (neg.f64 n) x) (pow.f64 (log.f64 x) 2)) (/.f64 n (log.f64 x))) (*.f64 (fma.f64 (/.f64 n (pow.f64 (log.f64 x) 2)) 1/3 (-.f64 (/.f64 n (pow.f64 (log.f64 x) 4)) (/.f64 n (pow.f64 (log.f64 x) 3)))) (pow.f64 x 3))) (*.f64 x (*.f64 x (fma.f64 -1/2 (/.f64 n (pow.f64 (log.f64 x) 2)) (/.f64 n (pow.f64 (log.f64 x) 3))))))
(-.f64 (*.f64 (/.f64 n (log.f64 x)) (-.f64 -1 (/.f64 x (log.f64 x)))) (*.f64 (*.f64 x x) (+.f64 (fma.f64 -1/2 (/.f64 n (pow.f64 (log.f64 x) 2)) (/.f64 n (pow.f64 (log.f64 x) 3))) (*.f64 (+.f64 (/.f64 n (pow.f64 (log.f64 x) 4)) (*.f64 (/.f64 n (pow.f64 (log.f64 x) 2)) (+.f64 1/3 (/.f64 -1 (log.f64 x))))) x))))
(*.f64 n x)
(*.f64 x n)
(+.f64 (*.f64 n x) (*.f64 1/2 n))
(fma.f64 n x (*.f64 n 1/2))
(*.f64 n (+.f64 x 1/2))
(+.f64 (*.f64 n x) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/4 n) (*.f64 1/3 n)) x)) (*.f64 1/2 n)))
(fma.f64 n x (fma.f64 -1 (/.f64 (*.f64 n 1/12) x) (*.f64 n 1/2)))
(fma.f64 x n (-.f64 (*.f64 n 1/2) (/.f64 n (/.f64 x 1/12))))
(fma.f64 x n (fma.f64 n 1/2 (/.f64 (*.f64 n -1/12) x)))
(+.f64 (*.f64 n x) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/4 n) (*.f64 1/3 n)) x)) (+.f64 (*.f64 1/2 n) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (+.f64 (*.f64 -1/4 n) (*.f64 1/3 n))) (+.f64 (*.f64 1/6 n) (*.f64 -1/4 n))) (pow.f64 x 2))))))
(fma.f64 n x (fma.f64 -1 (/.f64 (*.f64 n 1/12) x) (fma.f64 1/2 n (neg.f64 (/.f64 (fma.f64 1/2 (*.f64 n 1/12) (*.f64 n -1/12)) (*.f64 x x))))))
(fma.f64 x n (-.f64 (-.f64 (*.f64 n 1/2) (/.f64 n (/.f64 x 1/12))) (/.f64 (*.f64 1/2 (*.f64 n -1/12)) (*.f64 x x))))
(+.f64 (fma.f64 x n (fma.f64 n 1/2 (/.f64 (*.f64 n -1/12) x))) (/.f64 (*.f64 n 1/24) (*.f64 x x)))
(*.f64 n x)
(*.f64 x n)
(+.f64 (*.f64 n x) (*.f64 1/2 n))
(fma.f64 n x (*.f64 n 1/2))
(*.f64 n (+.f64 x 1/2))
(+.f64 (*.f64 n x) (+.f64 (*.f64 1/4 (/.f64 n x)) (+.f64 (*.f64 1/2 n) (*.f64 -1/3 (/.f64 n x)))))
(fma.f64 n x (fma.f64 1/4 (/.f64 n x) (fma.f64 1/2 n (/.f64 (*.f64 n -1/3) x))))
(fma.f64 x n (fma.f64 1/4 (/.f64 n x) (fma.f64 n 1/2 (*.f64 -1/3 (/.f64 n x)))))
(fma.f64 x n (+.f64 (*.f64 n 1/2) (*.f64 (/.f64 n x) -1/12)))
(+.f64 (*.f64 n x) (+.f64 (*.f64 1/4 (/.f64 n x)) (+.f64 (*.f64 1/2 n) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/6 n) (+.f64 (*.f64 -1/4 n) (*.f64 -1/2 (+.f64 (*.f64 1/4 n) (*.f64 -1/3 n))))) (pow.f64 x 2))) (*.f64 -1/3 (/.f64 n x))))))
(fma.f64 n x (fma.f64 1/4 (/.f64 n x) (fma.f64 1/2 n (fma.f64 -1 (/.f64 (+.f64 (*.f64 n -1/12) (*.f64 -1/2 (*.f64 n -1/12))) (*.f64 x x)) (/.f64 (*.f64 n -1/3) x)))))
(fma.f64 x n (fma.f64 1/4 (/.f64 n x) (fma.f64 n 1/2 (-.f64 (*.f64 -1/3 (/.f64 n x)) (/.f64 (*.f64 1/2 (*.f64 n -1/12)) (*.f64 x x))))))
(fma.f64 x n (+.f64 (fma.f64 n 1/2 (/.f64 (*.f64 n 1/24) (*.f64 x x))) (*.f64 (/.f64 n x) -1/12)))
(/.f64 n (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
(/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))
(/.f64 n (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
(/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))
(/.f64 n (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
(/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))
(/.f64 n (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
(/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))
(/.f64 n (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
(/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))
(/.f64 n (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
(/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))
(/.f64 n (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
(/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))
(/.f64 n (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
(/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))
(/.f64 n (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
(/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))
(/.f64 n (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
(/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))
(/.f64 n (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
(/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))
(/.f64 n (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)))
(/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))
(/.f64 -1 (log.f64 x))
(-.f64 (*.f64 -1 (/.f64 x (pow.f64 (log.f64 x) 2))) (/.f64 1 (log.f64 x)))
(-.f64 (neg.f64 (/.f64 x (pow.f64 (log.f64 x) 2))) (/.f64 1 (log.f64 x)))
(fma.f64 -1 (/.f64 x (pow.f64 (log.f64 x) 2)) (/.f64 -1 (log.f64 x)))
(-.f64 (/.f64 -1 (log.f64 x)) (/.f64 x (pow.f64 (log.f64 x) 2)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 x (pow.f64 (log.f64 x) 2))) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (log.f64 x) 2))) (/.f64 1 (pow.f64 (log.f64 x) 3))) (pow.f64 x 2))) (/.f64 1 (log.f64 x)))
(-.f64 (fma.f64 -1 (/.f64 x (pow.f64 (log.f64 x) 2)) (*.f64 (*.f64 x x) (-.f64 (/.f64 1/2 (pow.f64 (log.f64 x) 2)) (/.f64 1 (pow.f64 (log.f64 x) 3))))) (/.f64 1 (log.f64 x)))
(fma.f64 -1 (/.f64 x (pow.f64 (log.f64 x) 2)) (fma.f64 (*.f64 x x) (+.f64 (/.f64 1/2 (pow.f64 (log.f64 x) 2)) (/.f64 -1 (pow.f64 (log.f64 x) 3))) (/.f64 -1 (log.f64 x))))
(-.f64 (fma.f64 (*.f64 x x) (+.f64 (/.f64 1/2 (pow.f64 (log.f64 x) 2)) (/.f64 -1 (pow.f64 (log.f64 x) 3))) (/.f64 -1 (log.f64 x))) (/.f64 x (pow.f64 (log.f64 x) 2)))
(-.f64 (+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (log.f64 x) 3))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (log.f64 x) 2))) (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (log.f64 x) 2))) (/.f64 1 (pow.f64 (log.f64 x) 3))) (log.f64 x))))) (pow.f64 x 3)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 (log.f64 x) 2))) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (log.f64 x) 2))) (/.f64 1 (pow.f64 (log.f64 x) 3))) (pow.f64 x 2)))) (/.f64 1 (log.f64 x)))
(-.f64 (fma.f64 (-.f64 (/.f64 1/2 (pow.f64 (log.f64 x) 3)) (+.f64 (/.f64 1/3 (pow.f64 (log.f64 x) 2)) (neg.f64 (/.f64 (-.f64 (/.f64 1/2 (pow.f64 (log.f64 x) 2)) (/.f64 1 (pow.f64 (log.f64 x) 3))) (log.f64 x))))) (pow.f64 x 3) (fma.f64 -1 (/.f64 x (pow.f64 (log.f64 x) 2)) (*.f64 (*.f64 x x) (-.f64 (/.f64 1/2 (pow.f64 (log.f64 x) 2)) (/.f64 1 (pow.f64 (log.f64 x) 3)))))) (/.f64 1 (log.f64 x)))
(fma.f64 (pow.f64 x 3) (-.f64 (/.f64 1/2 (pow.f64 (log.f64 x) 3)) (-.f64 (/.f64 1/3 (pow.f64 (log.f64 x) 2)) (-.f64 (/.f64 1/2 (pow.f64 (log.f64 x) 3)) (/.f64 1 (pow.f64 (log.f64 x) 4))))) (fma.f64 -1 (/.f64 x (pow.f64 (log.f64 x) 2)) (fma.f64 (*.f64 x x) (+.f64 (/.f64 1/2 (pow.f64 (log.f64 x) 2)) (/.f64 -1 (pow.f64 (log.f64 x) 3))) (/.f64 -1 (log.f64 x)))))
(fma.f64 (pow.f64 x 3) (+.f64 (/.f64 1/2 (pow.f64 (log.f64 x) 3)) (+.f64 (+.f64 (/.f64 1/2 (pow.f64 (log.f64 x) 3)) (/.f64 -1 (pow.f64 (log.f64 x) 4))) (/.f64 -1/3 (pow.f64 (log.f64 x) 2)))) (-.f64 (fma.f64 (*.f64 x x) (+.f64 (/.f64 1/2 (pow.f64 (log.f64 x) 2)) (/.f64 -1 (pow.f64 (log.f64 x) 3))) (/.f64 -1 (log.f64 x))) (/.f64 x (pow.f64 (log.f64 x) 2))))
x
(+.f64 1/2 x)
(+.f64 x 1/2)
(-.f64 (+.f64 1/2 x) (*.f64 1/12 (/.f64 1 x)))
(-.f64 (+.f64 x 1/2) (/.f64 1/12 x))
(+.f64 x (-.f64 1/2 (/.f64 1/12 x)))
(+.f64 x (+.f64 1/2 (/.f64 -1/12 x)))
(-.f64 (+.f64 1/2 (+.f64 (*.f64 1/24 (/.f64 1 (pow.f64 x 2))) x)) (*.f64 1/12 (/.f64 1 x)))
(-.f64 (+.f64 1/2 (+.f64 x (/.f64 1/24 (*.f64 x x)))) (/.f64 1/12 x))
(+.f64 (+.f64 x (/.f64 1/24 (*.f64 x x))) (-.f64 1/2 (/.f64 1/12 x)))
(+.f64 x (-.f64 (+.f64 1/2 (/.f64 1/24 (*.f64 x x))) (/.f64 1/12 x)))
x
(+.f64 1/2 x)
(+.f64 x 1/2)
(-.f64 (+.f64 1/2 x) (*.f64 1/12 (/.f64 1 x)))
(-.f64 (+.f64 x 1/2) (/.f64 1/12 x))
(+.f64 x (-.f64 1/2 (/.f64 1/12 x)))
(+.f64 x (+.f64 1/2 (/.f64 -1/12 x)))
(-.f64 (+.f64 1/2 (+.f64 (*.f64 1/24 (/.f64 1 (pow.f64 x 2))) x)) (*.f64 1/12 (/.f64 1 x)))
(-.f64 (+.f64 1/2 (+.f64 x (/.f64 1/24 (*.f64 x x)))) (/.f64 1/12 x))
(+.f64 (+.f64 x (/.f64 1/24 (*.f64 x x))) (-.f64 1/2 (/.f64 1/12 x)))
(+.f64 x (-.f64 (+.f64 1/2 (/.f64 1/24 (*.f64 x x))) (/.f64 1/12 x)))

localize3.0ms (0%)

Compiler

Compiled 7 to 3 computations (57.1% saved)

localize5.0ms (0%)

Compiler

Compiled 10 to 8 computations (20% saved)

localize12.0ms (0%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(exp.f64 (/.f64 (log.f64 x) n))
✓0.3b
(/.f64 (log.f64 x) n)
4.7b
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
Compiler

Compiled 27 to 7 computations (74.1% saved)

series4.0ms (0%)

Counts
2 → 24
Calls

12 calls:

TimeVariablePointExpression
0.0ms
n
@-inf
(/.f64 (log.f64 x) n)
0.0ms
n
@inf
(/.f64 (log.f64 x) n)
0.0ms
n
@0
(/.f64 (log.f64 x) n)
0.0ms
x
@0
(/.f64 (log.f64 x) n)
0.0ms
n
@inf
(exp.f64 (/.f64 (log.f64 x) n))

rewrite47.0ms (0.2%)

Algorithm
1×batch-egg-rewrite
Rules
596×pow1_binary64
548×add-log-exp_binary64
548×log1p-expm1-u_binary64
548×expm1-log1p-u_binary64
535×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0614
111713
2148413
Stop Event
1×node limit
Counts
2 → 53
Calls
Call 1
Inputs
(/.f64 (log.f64 x) n)
(exp.f64 (/.f64 (log.f64 x) n))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (log.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (log.f64 x) n))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2)) (log.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (log.f64 x) n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 x) (/.f64 1 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 x) n) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (log.f64 x) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) (pow.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) 2) (cbrt.f64 (/.f64 (log.f64 x) n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 x)) (*.f64 (sqrt.f64 (log.f64 x)) (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (log.f64 x) n)) (sqrt.f64 (/.f64 (log.f64 x) n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (log.f64 x)) (/.f64 1 (neg.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 n) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) 1) (/.f64 (cbrt.f64 (log.f64 x)) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log.f64 x)) 1) (/.f64 (sqrt.f64 (log.f64 x)) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (log.f64 x) (cbrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 (/.f64 (log.f64 x) n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 n) 2)) (/.f64 (sqrt.f64 (log.f64 x)) (cbrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 n)) (/.f64 (log.f64 x) (sqrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (sqrt.f64 n)) (/.f64 (cbrt.f64 (log.f64 x)) (sqrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 x) n) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log.f64 x) n) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (log.f64 x) n)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 n (log.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (log.f64 x) (neg.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log.f64 x) n) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 x (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log.f64 x) n) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (log.f64 x) n)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log.f64 x) n)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log.f64 x) n)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (expm1.f64 (/.f64 (log.f64 x) n)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 x (/.f64 1 n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x (/.f64 1 n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 x (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) (cbrt.f64 (pow.f64 x (/.f64 1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (sqrt.f64 (pow.f64 x (/.f64 1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x (/.f64 1 n))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x (/.f64 1 n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 x (/.f64 1 n)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (/.f64 (log.f64 x) n))) (sqrt.f64 (/.f64 (log.f64 x) n)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (/.f64 (log.f64 x) n))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) 2)) (cbrt.f64 (/.f64 (log.f64 x) n)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 x (/.f64 1 n)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x (/.f64 1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 x (/.f64 1 n)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x (/.f64 1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x (/.f64 1 n))))))))

simplify51.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
570×associate-/l*_binary64
545×div-sub_binary64
375×fma-def_binary64
361×associate-/r*_binary64
300×associate-*r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
037330
188326
2215252
3800248
45093248
Stop Event
1×node limit
Counts
77 → 66
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))
1
(+.f64 (/.f64 (log.f64 x) n) 1)
(+.f64 (/.f64 (log.f64 x) n) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))))
(+.f64 (/.f64 (log.f64 x) n) (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))))
1
(+.f64 (/.f64 (log.f64 x) n) 1)
(+.f64 (/.f64 (log.f64 x) n) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))))
(+.f64 (/.f64 (log.f64 x) n) (+.f64 1 (+.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))))))
Outputs
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))
(/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)
(/.f64 (log.f64 x) n)
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))
(/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)
(/.f64 (log.f64 x) n)
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))
(/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)
(/.f64 (log.f64 x) n)
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))
(/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)
(/.f64 (log.f64 x) n)
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))
(/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)
(/.f64 (log.f64 x) n)
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))
(/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)
(/.f64 (log.f64 x) n)
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))
(/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)
(/.f64 (log.f64 x) n)
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))
(/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)
(/.f64 (log.f64 x) n)
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))
(exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)))
(exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n))
(exp.f64 (/.f64 (log.f64 x) n))
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))
(exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)))
(exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n))
(exp.f64 (/.f64 (log.f64 x) n))
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))
(exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)))
(exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n))
(exp.f64 (/.f64 (log.f64 x) n))
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))
(exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)))
(exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n))
(exp.f64 (/.f64 (log.f64 x) n))
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))
(exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)))
(exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n))
(exp.f64 (/.f64 (log.f64 x) n))
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))
(exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)))
(exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n))
(exp.f64 (/.f64 (log.f64 x) n))
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))
(exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)))
(exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n))
(exp.f64 (/.f64 (log.f64 x) n))
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))
(exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)))
(exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n))
(exp.f64 (/.f64 (log.f64 x) n))
1
(+.f64 (/.f64 (log.f64 x) n) 1)
(+.f64 1 (/.f64 (log.f64 x) n))
(+.f64 (/.f64 (log.f64 x) n) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))))
(+.f64 (/.f64 (log.f64 x) n) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)))))
(+.f64 (/.f64 (log.f64 x) n) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) 1))
(+.f64 1 (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (/.f64 (log.f64 x) n)))
(+.f64 1 (*.f64 (+.f64 (/.f64 (log.f64 x) (/.f64 n 1/2)) 1) (/.f64 (log.f64 x) n)))
(+.f64 (/.f64 (log.f64 x) n) (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))))
(+.f64 (/.f64 (log.f64 x) n) (+.f64 1 (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))))
(+.f64 (/.f64 (log.f64 x) n) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) 1)))
(+.f64 (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) 1) (*.f64 (+.f64 (/.f64 (log.f64 x) (/.f64 n 1/2)) 1) (/.f64 (log.f64 x) n)))
(+.f64 1 (fma.f64 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (+.f64 1/2 (*.f64 (/.f64 (log.f64 x) n) 1/6)) (/.f64 (log.f64 x) n)))
1
(+.f64 (/.f64 (log.f64 x) n) 1)
(+.f64 1 (/.f64 (log.f64 x) n))
(+.f64 (/.f64 (log.f64 x) n) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))))
(+.f64 (/.f64 (log.f64 x) n) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)))))
(+.f64 (/.f64 (log.f64 x) n) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) 1))
(+.f64 1 (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (/.f64 (log.f64 x) n)))
(+.f64 1 (*.f64 (+.f64 (/.f64 (log.f64 x) (/.f64 n 1/2)) 1) (/.f64 (log.f64 x) n)))
(+.f64 (/.f64 (log.f64 x) n) (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))))
(+.f64 (/.f64 (log.f64 x) n) (+.f64 1 (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))))
(+.f64 (/.f64 (log.f64 x) n) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) 1)))
(+.f64 (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) 1) (*.f64 (+.f64 (/.f64 (log.f64 x) (/.f64 n 1/2)) 1) (/.f64 (log.f64 x) n)))
(+.f64 1 (fma.f64 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (+.f64 1/2 (*.f64 (/.f64 (log.f64 x) n) 1/6)) (/.f64 (log.f64 x) n)))

localize90.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓2.2b
(/.f64 (/.f64 (/.f64 (log.f64 x) n) (*.f64 x n)) x)
✓4.5b
(+.f64 (/.f64 (/.f64 (log.f64 x) n) (*.f64 x n)) (/.f64 (/.f64 1 x) n))
✓5.4b
(fma.f64 -1/2 (/.f64 (/.f64 (/.f64 (log.f64 x) n) (*.f64 x n)) x) (+.f64 (/.f64 (/.f64 (log.f64 x) n) (*.f64 x n)) (/.f64 (/.f64 1 x) n)))
✓13.5b
(/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (*.f64 x x))
Compiler

Compiled 158 to 55 computations (65.2% saved)

series29.0ms (0.1%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
2.0ms
x
@0
(/.f64 (/.f64 (/.f64 (log.f64 x) n) (*.f64 x n)) x)
2.0ms
x
@-inf
(fma.f64 -1/2 (/.f64 (/.f64 (/.f64 (log.f64 x) n) (*.f64 x n)) x) (+.f64 (/.f64 (/.f64 (log.f64 x) n) (*.f64 x n)) (/.f64 (/.f64 1 x) n)))
2.0ms
x
@inf
(fma.f64 -1/2 (/.f64 (/.f64 (/.f64 (log.f64 x) n) (*.f64 x n)) x) (+.f64 (/.f64 (/.f64 (log.f64 x) n) (*.f64 x n)) (/.f64 (/.f64 1 x) n)))
2.0ms
x
@0
(fma.f64 -1/2 (/.f64 (/.f64 (/.f64 (log.f64 x) n) (*.f64 x n)) x) (+.f64 (/.f64 (/.f64 (log.f64 x) n) (*.f64 x n)) (/.f64 (/.f64 1 x) n)))
2.0ms
n
@0
(fma.f64 -1/2 (/.f64 (/.f64 (/.f64 (log.f64 x) n) (*.f64 x n)) x) (+.f64 (/.f64 (/.f64 (log.f64 x) n) (*.f64 x n)) (/.f64 (/.f64 1 x) n)))

rewrite101.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
250×add-sqr-sqrt_binary64
242×*-un-lft-identity_binary64
242×pow1_binary64
232×add-exp-log_binary64
232×add-log-exp_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02194
149280
Stop Event
1×node limit
Counts
4 → 176
Calls
Call 1
Inputs
(/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (*.f64 x x))
(fma.f64 -1/2 (/.f64 (/.f64 (/.f64 (log.f64 x) n) (*.f64 x n)) x) (+.f64 (/.f64 (/.f64 (log.f64 x) n) (*.f64 x n)) (/.f64 (/.f64 1 x) n)))
(+.f64 (/.f64 (/.f64 (log.f64 x) n) (*.f64 x n)) (/.f64 (/.f64 1 x) n))
(/.f64 (/.f64 (/.f64 (log.f64 x) n) (*.f64 x n)) x)
Outputs
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2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 x) (pow.f64 (*.f64 n x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log.f64 x) (pow.f64 (*.f64 n x) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (log.f64 x) x) (pow.f64 n -2)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (log.f64 x) x) (pow.f64 n -2)) 3) (/.f64 (pow.f64 x -2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (log.f64 x) (pow.f64 (*.f64 n x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log.f64 x) (pow.f64 (*.f64 n x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log.f64 x) (pow.f64 (*.f64 n x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 x) (pow.f64 (*.f64 n x) 2))) 1))))))

simplify71.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
794×associate-/l*_binary64
584×associate-*l/_binary64
448×associate-/l/_binary64
436×associate-*r*_binary64
430×associate-*r/_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0682208
11792036
24641915
316311825
Stop Event
1×node limit
Counts
272 → 204
Calls
Call 1
Inputs
(/.f64 1/2 (*.f64 (pow.f64 n 2) (pow.f64 x 2)))
(-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 n 2) (pow.f64 x 2)))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 n 2) (pow.f64 x 2)))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 n 2) (pow.f64 x 2)))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(/.f64 -1/2 (*.f64 n (pow.f64 x 2)))
(-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 n 2) (pow.f64 x 2)))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 n 2) (pow.f64 x 2)))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 n 2) (pow.f64 x 2)))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(/.f64 -1/2 (*.f64 n (pow.f64 x 2)))
(-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 n 2) (pow.f64 x 2)))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 n 2) (pow.f64 x 2)))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 n 2) (pow.f64 x 2)))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2))
(/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2))
(/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2))
(/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2))
(/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2))
(/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2))
(/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2))
(/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2))
(/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2))
(/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2))
(/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2))
(/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2))
(*.f64 -1/2 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) (pow.f64 x 2))))
(+.f64 (*.f64 -1/2 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) (pow.f64 x 2)))) (+.f64 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) x)) (/.f64 1 (*.f64 n x))))
(+.f64 (*.f64 -1/2 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) (pow.f64 x 2)))) (+.f64 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) x)) (/.f64 1 (*.f64 n x))))
(+.f64 (*.f64 -1/2 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) (pow.f64 x 2)))) (+.f64 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) x)) (/.f64 1 (*.f64 n x))))
(/.f64 (+.f64 (/.f64 1 n) (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 2)))) x)
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) (*.f64 (pow.f64 n 2) x))) (+.f64 (*.f64 1/2 (/.f64 (log.f64 (/.f64 1 x)) (*.f64 (pow.f64 n 2) (pow.f64 x 2)))) (/.f64 1 (*.f64 n x))))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) (*.f64 (pow.f64 n 2) x))) (+.f64 (*.f64 1/2 (/.f64 (log.f64 (/.f64 1 x)) (*.f64 (pow.f64 n 2) (pow.f64 x 2)))) (/.f64 1 (*.f64 n x))))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) (*.f64 (pow.f64 n 2) x))) (+.f64 (*.f64 1/2 (/.f64 (log.f64 (/.f64 1 x)) (*.f64 (pow.f64 n 2) (pow.f64 x 2)))) (/.f64 1 (*.f64 n x))))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 n 2))) (/.f64 1 n)) x))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 n 2))) (/.f64 1 n)) x)) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (*.f64 (pow.f64 n 2) (pow.f64 x 2)))))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 n 2))) (/.f64 1 n)) x)) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (*.f64 (pow.f64 n 2) (pow.f64 x 2)))))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 n 2))) (/.f64 1 n)) x)) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (*.f64 (pow.f64 n 2) (pow.f64 x 2)))))
(/.f64 (+.f64 (*.f64 -1/2 (/.f64 (log.f64 x) (pow.f64 x 2))) (/.f64 (log.f64 x) x)) (pow.f64 n 2))
(+.f64 (*.f64 -1/2 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) (pow.f64 x 2)))) (+.f64 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) x)) (/.f64 1 (*.f64 n x))))
(+.f64 (*.f64 -1/2 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) (pow.f64 x 2)))) (+.f64 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) x)) (/.f64 1 (*.f64 n x))))
(+.f64 (*.f64 -1/2 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) (pow.f64 x 2)))) (+.f64 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) x)) (/.f64 1 (*.f64 n x))))
(/.f64 1 (*.f64 n x))
(+.f64 (*.f64 -1/2 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) (pow.f64 x 2)))) (+.f64 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) x)) (/.f64 1 (*.f64 n x))))
(+.f64 (*.f64 -1/2 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) (pow.f64 x 2)))) (+.f64 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) x)) (/.f64 1 (*.f64 n x))))
(+.f64 (*.f64 -1/2 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) (pow.f64 x 2)))) (+.f64 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) x)) (/.f64 1 (*.f64 n x))))
(/.f64 1 (*.f64 n x))
(+.f64 (*.f64 -1/2 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) (pow.f64 x 2)))) (+.f64 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) x)) (/.f64 1 (*.f64 n x))))
(+.f64 (*.f64 -1/2 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) (pow.f64 x 2)))) (+.f64 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) x)) (/.f64 1 (*.f64 n x))))
(+.f64 (*.f64 -1/2 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) (pow.f64 x 2)))) (+.f64 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) x)) (/.f64 1 (*.f64 n x))))
(/.f64 (+.f64 (/.f64 1 n) (/.f64 (log.f64 x) (pow.f64 n 2))) x)
(/.f64 (+.f64 (/.f64 1 n) (/.f64 (log.f64 x) (pow.f64 n 2))) x)
(/.f64 (+.f64 (/.f64 1 n) (/.f64 (log.f64 x) (pow.f64 n 2))) x)
(/.f64 (+.f64 (/.f64 1 n) (/.f64 (log.f64 x) (pow.f64 n 2))) x)
(/.f64 (+.f64 (/.f64 1 n) (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 2)))) x)
(/.f64 (+.f64 (/.f64 1 n) (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 2)))) x)
(/.f64 (+.f64 (/.f64 1 n) (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 2)))) x)
(/.f64 (+.f64 (/.f64 1 n) (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 2)))) x)
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 n 2))) (/.f64 1 n)) x))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 n 2))) (/.f64 1 n)) x))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 n 2))) (/.f64 1 n)) x))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 n 2))) (/.f64 1 n)) x))
(/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) x))
(+.f64 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) x)) (/.f64 1 (*.f64 n x)))
(+.f64 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) x)) (/.f64 1 (*.f64 n x)))
(+.f64 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) x)) (/.f64 1 (*.f64 n x)))
(/.f64 1 (*.f64 n x))
(+.f64 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) x)) (/.f64 1 (*.f64 n x)))
(+.f64 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) x)) (/.f64 1 (*.f64 n x)))
(+.f64 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) x)) (/.f64 1 (*.f64 n x)))
(/.f64 1 (*.f64 n x))
(+.f64 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) x)) (/.f64 1 (*.f64 n x)))
(+.f64 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) x)) (/.f64 1 (*.f64 n x)))
(+.f64 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) x)) (/.f64 1 (*.f64 n x)))
(/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) (pow.f64 x 2)))
(/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) (pow.f64 x 2)))
(/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) (pow.f64 x 2)))
(/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) (pow.f64 x 2)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) (*.f64 (pow.f64 n 2) (pow.f64 x 2))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) (*.f64 (pow.f64 n 2) (pow.f64 x 2))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) (*.f64 (pow.f64 n 2) (pow.f64 x 2))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) (*.f64 (pow.f64 n 2) (pow.f64 x 2))))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (*.f64 (pow.f64 n 2) (pow.f64 x 2)))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (*.f64 (pow.f64 n 2) (pow.f64 x 2)))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (*.f64 (pow.f64 n 2) (pow.f64 x 2)))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (*.f64 (pow.f64 n 2) (pow.f64 x 2)))
(/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) (pow.f64 x 2)))
(/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) (pow.f64 x 2)))
(/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) (pow.f64 x 2)))
(/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) (pow.f64 x 2)))
(/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) (pow.f64 x 2)))
(/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) (pow.f64 x 2)))
(/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) (pow.f64 x 2)))
(/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) (pow.f64 x 2)))
(/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) (pow.f64 x 2)))
(/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) (pow.f64 x 2)))
(/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) (pow.f64 x 2)))
(/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) (pow.f64 x 2)))
Outputs
(/.f64 1/2 (*.f64 (pow.f64 n 2) (pow.f64 x 2)))
(/.f64 1/2 (*.f64 (*.f64 n n) (*.f64 x x)))
(/.f64 (/.f64 (/.f64 1/2 (*.f64 n n)) x) x)
(/.f64 (/.f64 1/2 (*.f64 x (*.f64 n x))) n)
(/.f64 (/.f64 (/.f64 1/2 n) (*.f64 x x)) n)
(-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 n 2) (pow.f64 x 2)))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (/.f64 1/2 (*.f64 (*.f64 n n) (*.f64 x x))) (/.f64 1/2 (*.f64 n (*.f64 x x))))
(/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (*.f64 x x))
(-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 n 2) (pow.f64 x 2)))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (/.f64 1/2 (*.f64 (*.f64 n n) (*.f64 x x))) (/.f64 1/2 (*.f64 n (*.f64 x x))))
(/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (*.f64 x x))
(-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 n 2) (pow.f64 x 2)))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (/.f64 1/2 (*.f64 (*.f64 n n) (*.f64 x x))) (/.f64 1/2 (*.f64 n (*.f64 x x))))
(/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (*.f64 x x))
(/.f64 -1/2 (*.f64 n (pow.f64 x 2)))
(/.f64 (/.f64 -1/2 n) (*.f64 x x))
(/.f64 -1/2 (*.f64 x (*.f64 n x)))
(-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 n 2) (pow.f64 x 2)))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (/.f64 1/2 (*.f64 (*.f64 n n) (*.f64 x x))) (/.f64 1/2 (*.f64 n (*.f64 x x))))
(/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (*.f64 x x))
(-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 n 2) (pow.f64 x 2)))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (/.f64 1/2 (*.f64 (*.f64 n n) (*.f64 x x))) (/.f64 1/2 (*.f64 n (*.f64 x x))))
(/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (*.f64 x x))
(-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 n 2) (pow.f64 x 2)))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (/.f64 1/2 (*.f64 (*.f64 n n) (*.f64 x x))) (/.f64 1/2 (*.f64 n (*.f64 x x))))
(/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (*.f64 x x))
(/.f64 -1/2 (*.f64 n (pow.f64 x 2)))
(/.f64 (/.f64 -1/2 n) (*.f64 x x))
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(/.f64 (log.f64 x) (*.f64 (*.f64 n n) (*.f64 x x)))
(/.f64 (/.f64 (/.f64 (log.f64 x) (*.f64 n n)) x) x)
(/.f64 (/.f64 (log.f64 x) (*.f64 x x)) (*.f64 n n))
(/.f64 (/.f64 (log.f64 x) (*.f64 (*.f64 n n) x)) x)
(/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) (pow.f64 x 2)))
(/.f64 (log.f64 x) (*.f64 (*.f64 n n) (*.f64 x x)))
(/.f64 (/.f64 (/.f64 (log.f64 x) (*.f64 n n)) x) x)
(/.f64 (/.f64 (log.f64 x) (*.f64 x x)) (*.f64 n n))
(/.f64 (/.f64 (log.f64 x) (*.f64 (*.f64 n n) x)) x)
(/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) (pow.f64 x 2)))
(/.f64 (log.f64 x) (*.f64 (*.f64 n n) (*.f64 x x)))
(/.f64 (/.f64 (/.f64 (log.f64 x) (*.f64 n n)) x) x)
(/.f64 (/.f64 (log.f64 x) (*.f64 x x)) (*.f64 n n))
(/.f64 (/.f64 (log.f64 x) (*.f64 (*.f64 n n) x)) x)
(/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) (pow.f64 x 2)))
(/.f64 (log.f64 x) (*.f64 (*.f64 n n) (*.f64 x x)))
(/.f64 (/.f64 (/.f64 (log.f64 x) (*.f64 n n)) x) x)
(/.f64 (/.f64 (log.f64 x) (*.f64 x x)) (*.f64 n n))
(/.f64 (/.f64 (log.f64 x) (*.f64 (*.f64 n n) x)) x)
(/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) (pow.f64 x 2)))
(/.f64 (log.f64 x) (*.f64 (*.f64 n n) (*.f64 x x)))
(/.f64 (/.f64 (/.f64 (log.f64 x) (*.f64 n n)) x) x)
(/.f64 (/.f64 (log.f64 x) (*.f64 x x)) (*.f64 n n))
(/.f64 (/.f64 (log.f64 x) (*.f64 (*.f64 n n) x)) x)
(/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) (pow.f64 x 2)))
(/.f64 (log.f64 x) (*.f64 (*.f64 n n) (*.f64 x x)))
(/.f64 (/.f64 (/.f64 (log.f64 x) (*.f64 n n)) x) x)
(/.f64 (/.f64 (log.f64 x) (*.f64 x x)) (*.f64 n n))
(/.f64 (/.f64 (log.f64 x) (*.f64 (*.f64 n n) x)) x)
(/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) (pow.f64 x 2)))
(/.f64 (log.f64 x) (*.f64 (*.f64 n n) (*.f64 x x)))
(/.f64 (/.f64 (/.f64 (log.f64 x) (*.f64 n n)) x) x)
(/.f64 (/.f64 (log.f64 x) (*.f64 x x)) (*.f64 n n))
(/.f64 (/.f64 (log.f64 x) (*.f64 (*.f64 n n) x)) x)
(/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) (pow.f64 x 2)))
(/.f64 (log.f64 x) (*.f64 (*.f64 n n) (*.f64 x x)))
(/.f64 (/.f64 (/.f64 (log.f64 x) (*.f64 n n)) x) x)
(/.f64 (/.f64 (log.f64 x) (*.f64 x x)) (*.f64 n n))
(/.f64 (/.f64 (log.f64 x) (*.f64 (*.f64 n n) x)) x)
(/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) (pow.f64 x 2)))
(/.f64 (log.f64 x) (*.f64 (*.f64 n n) (*.f64 x x)))
(/.f64 (/.f64 (/.f64 (log.f64 x) (*.f64 n n)) x) x)
(/.f64 (/.f64 (log.f64 x) (*.f64 x x)) (*.f64 n n))
(/.f64 (/.f64 (log.f64 x) (*.f64 (*.f64 n n) x)) x)
(/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) (pow.f64 x 2)))
(/.f64 (log.f64 x) (*.f64 (*.f64 n n) (*.f64 x x)))
(/.f64 (/.f64 (/.f64 (log.f64 x) (*.f64 n n)) x) x)
(/.f64 (/.f64 (log.f64 x) (*.f64 x x)) (*.f64 n n))
(/.f64 (/.f64 (log.f64 x) (*.f64 (*.f64 n n) x)) x)
(/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) (pow.f64 x 2)))
(/.f64 (log.f64 x) (*.f64 (*.f64 n n) (*.f64 x x)))
(/.f64 (/.f64 (/.f64 (log.f64 x) (*.f64 n n)) x) x)
(/.f64 (/.f64 (log.f64 x) (*.f64 x x)) (*.f64 n n))
(/.f64 (/.f64 (log.f64 x) (*.f64 (*.f64 n n) x)) x)
(/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) (pow.f64 x 2)))
(/.f64 (log.f64 x) (*.f64 (*.f64 n n) (*.f64 x x)))
(/.f64 (/.f64 (/.f64 (log.f64 x) (*.f64 n n)) x) x)
(/.f64 (/.f64 (log.f64 x) (*.f64 x x)) (*.f64 n n))
(/.f64 (/.f64 (log.f64 x) (*.f64 (*.f64 n n) x)) x)

eval220.0ms (0.8%)

Compiler

Compiled 14962 to 7023 computations (53.1% saved)

prune99.0ms (0.3%)

Pruning

33 alts after pruning (27 fresh and 6 done)

PrunedKeptTotal
New5233526
Fresh22426
Picked101
Done268
Total52833561
Error
0.0b
Counts
561 → 33
Alt Table
Click to see full alt table
StatusErrorProgram
43.7b
(/.f64 (/.f64 1 x) n)
37.7b
(pow.f64 (*.f64 (/.f64 -1 (log.f64 x)) n) -1)
37.7b
(/.f64 (neg.f64 (log.f64 x)) n)
37.6b
(fma.f64 (/.f64 -1 n) (log.f64 x) (/.f64 x n))
16.8b
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 3)
34.2b
(/.f64 (-.f64 (*.f64 (log1p.f64 x) n) (*.f64 n (log.f64 x))) (*.f64 n n))
✓16.4b
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
32.1b
(*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x) (/.f64 1 n))
45.0b
(-.f64 (+.f64 1 (/.f64 1 (*.f64 n x))) 1)
51.1b
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (cbrt.f64 1))
✓43.3b
(-.f64 1 (pow.f64 x (/.f64 1 n)))
30.1b
(neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))
29.5b
(pow.f64 (pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1/2) 2)
32.1b
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (cbrt.f64 (exp.f64 (*.f64 (/.f64 3 n) (log.f64 x)))))
16.6b
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (*.f64 n (+.f64 (log1p.f64 x) (log.f64 x))))
32.8b
(cbrt.f64 (pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -3))
43.7b
(/.f64 (/.f64 1 n) x)
✓61.0b
(/.f64 x n)
✓44.1b
(/.f64 1 (*.f64 n x))
44.6b
(/.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1/3 x) -1/2))) n)
32.6b
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
16.5b
(pow.f64 (/.f64 n (pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2)) -1)
43.4b
(-.f64 1 (cbrt.f64 (pow.f64 x (*.f64 (/.f64 1 n) 3))))
43.7b
(*.f64 (/.f64 1 n) (/.f64 1 x))
37.6b
(/.f64 (-.f64 x (log.f64 x)) n)
✓40.0b
(/.f64 (log.f64 1) n)
44.7b
(*.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 (/.f64 1 x) n))
43.3b
(/.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (pow.f64 x (/.f64 2 n))) 3)) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
31.8b
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
53.9b
(exp.f64 (neg.f64 (log.f64 (*.f64 n x))))
37.7b
(pow.f64 (/.f64 (neg.f64 n) (log.f64 x)) -1)
✓48.3b
(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))
43.3b
(pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x (/.f64 1 n)))) 3)
Compiler

Compiled 383 to 278 computations (27.4% saved)

regimes813.0ms (2.8%)

Counts
69 → 2
Calls
Call 1
Inputs
(/.f64 x n)
(/.f64 (/.f64 1 x) n)
(/.f64 (/.f64 1 x) n)
(/.f64 (/.f64 1 n) x)
(/.f64 1 (*.f64 n x))
(*.f64 (/.f64 1 n) (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (*.f64 n x))) 1)
(*.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 (/.f64 1 x) n))
(*.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 (/.f64 1 n) x))
(/.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1/3 x) -1/2))) n)
(*.f64 (/.f64 (/.f64 1 n) x) (-.f64 (+.f64 (/.f64 1/3 (*.f64 x x)) 1) (/.f64 1/2 x)))
(/.f64 (log.f64 1) n)
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
(*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x) (/.f64 1 n))
(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))
(/.f64 (+.f64 (/.f64 1 x) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 (/.f64 1/2 x) x))) n)
(exp.f64 (neg.f64 (log.f64 (*.f64 n x))))
(neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))
(pow.f64 (/.f64 (neg.f64 n) (log.f64 x)) -1)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(pow.f64 (*.f64 (/.f64 -1 (log.f64 x)) n) -1)
(pow.f64 (/.f64 1 (cbrt.f64 (*.f64 n x))) 3)
(fma.f64 (/.f64 -1 n) (log.f64 x) (/.f64 x n))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x)))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (cbrt.f64 1))
(-.f64 1 (cbrt.f64 (pow.f64 x (*.f64 (/.f64 1 n) 3))))
(/.f64 (-.f64 (*.f64 (log1p.f64 x) n) (*.f64 n (log.f64 x))) (*.f64 n n))
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
(pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1)
(pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x (/.f64 1 n)))) 3)
(pow.f64 (*.f64 (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x))) n) -1)
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (cbrt.f64 (pow.f64 x (*.f64 (/.f64 1 n) 3))))
(+.f64 (fma.f64 -1/2 (/.f64 (/.f64 (/.f64 (log.f64 x) n) (*.f64 x n)) x) (+.f64 (/.f64 (/.f64 (log.f64 x) n) (*.f64 x n)) (/.f64 (/.f64 1 x) n))) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (*.f64 x x)))
(/.f64 (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 3)
(cbrt.f64 (pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -3))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 3)
(/.f64 (pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) n)
(pow.f64 (pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1/2) 2)
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (cbrt.f64 (exp.f64 (*.f64 (/.f64 3 n) (log.f64 x)))))
(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 (/.f64 (pow.f64 x (/.f64 1 n)) x) (/.f64 1 n)))
(pow.f64 (/.f64 n (pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2)) -1)
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3) (pow.f64 n 3)))
(exp.f64 (log.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
(log.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
(pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 3)
(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 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x x)) (+.f64 (/.f64 (+.f64 (/.f64 1/6 (pow.f64 n 3)) (+.f64 (/.f64 1/3 n) (/.f64 (/.f64 -1/2 n) n))) x) (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (*.f64 n (+.f64 (log1p.f64 x) (log.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 1) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n))
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (*.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) (cbrt.f64 (pow.f64 x (/.f64 1 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 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n)
(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (pow.f64 x (*.f64 2 (/.f64 1 n)))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 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 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))
(/.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (pow.f64 x (/.f64 2 n))) 3)) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
(+.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (+.f64 (/.f64 (*.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (pow.f64 n 3)) (*.f64 (/.f64 1/2 n) (-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) n) (/.f64 (pow.f64 (log.f64 x) 2) 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))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 2) (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (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))))
(-.f64 (+.f64 (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 1/24 (/.f64 (pow.f64 n 4) (pow.f64 (log1p.f64 x) 4)))) (+.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 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (*.f64 (/.f64 1/24 (pow.f64 n 4)) (pow.f64 (log.f64 x) 4))))
Outputs
(neg.f64 (expm1.f64 (/.f64 (log.f64 x) n)))
(*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x) (/.f64 1 n))
Calls

5 calls:

293.0ms
n
160.0ms
(/.f64 1 n)
155.0ms
(/.f64 1 n)
155.0ms
x
17.0ms
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
Results
ErrorSegmentsBranch
1.1b2x
8.1b3n
9.0b2(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
7.9b3(/.f64 1 n)
7.9b3(/.f64 1 n)
Compiler

Compiled 1122 to 598 computations (46.7% saved)

bsearch111.0ms (0.4%)

Algorithm
1×binary-search
Steps
TimeLeftRight
110.0ms
7.341955440902788e-6
176.8964943217215
Compiler

Compiled 66 to 49 computations (25.8% saved)

regimes333.0ms (1.1%)

Counts
21 → 4
Calls
Call 1
Inputs
(/.f64 x n)
(/.f64 (/.f64 1 x) n)
(/.f64 (/.f64 1 x) n)
(/.f64 (/.f64 1 n) x)
(/.f64 1 (*.f64 n x))
(*.f64 (/.f64 1 n) (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (*.f64 n x))) 1)
(*.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 (/.f64 1 x) n))
(*.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 (/.f64 1 n) x))
(/.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1/3 x) -1/2))) n)
(*.f64 (/.f64 (/.f64 1 n) x) (-.f64 (+.f64 (/.f64 1/3 (*.f64 x x)) 1) (/.f64 1/2 x)))
(/.f64 (log.f64 1) n)
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
(*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x) (/.f64 1 n))
(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))
(/.f64 (+.f64 (/.f64 1 x) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 (/.f64 1/2 x) x))) n)
(exp.f64 (neg.f64 (log.f64 (*.f64 n x))))
Outputs
(/.f64 (neg.f64 (log.f64 x)) n)
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x) (/.f64 1 n))
Calls

4 calls:

82.0ms
n
71.0ms
x
71.0ms
(/.f64 1 n)
62.0ms
(/.f64 1 n)
Results
ErrorSegmentsBranch
6.9b4x
8.2b4n
8.2b3(/.f64 1 n)
8.2b3(/.f64 1 n)
Compiler

Compiled 197 to 128 computations (35% saved)

bsearch1.3s (4.3%)

Algorithm
3×binary-search
Steps
TimeLeftRight
369.0ms
7.341955440902788e-6
176.8964943217215
405.0ms
3.5819434518477777e-245
5.463499583563081e-243
476.0ms
1.3441074945618727e-255
1.1461326414656004e-254
Compiler

Compiled 500 to 373 computations (25.4% saved)

regimes166.0ms (0.6%)

Counts
17 → 4
Calls
Call 1
Inputs
(/.f64 x n)
(/.f64 (/.f64 1 x) n)
(/.f64 (/.f64 1 x) n)
(/.f64 (/.f64 1 n) x)
(/.f64 1 (*.f64 n x))
(*.f64 (/.f64 1 n) (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (*.f64 n x))) 1)
(*.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 (/.f64 1 x) n))
(*.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 (/.f64 1 n) x))
(/.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1/3 x) -1/2))) n)
(*.f64 (/.f64 (/.f64 1 n) x) (-.f64 (+.f64 (/.f64 1/3 (*.f64 x x)) 1) (/.f64 1/2 x)))
(/.f64 (log.f64 1) n)
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
Outputs
(/.f64 (neg.f64 (log.f64 x)) n)
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
Calls

4 calls:

67.0ms
(/.f64 1 n)
39.0ms
x
31.0ms
n
25.0ms
(/.f64 1 n)
Results
ErrorSegmentsBranch
7.3b4x
8.3b4n
8.3b3(/.f64 1 n)
8.3b3(/.f64 1 n)
Compiler

Compiled 152 to 100 computations (34.2% saved)

bsearch1.9s (6.4%)

Algorithm
3×binary-search
Steps
TimeLeftRight
574.0ms
7.341955440902788e-6
176.8964943217215
873.0ms
3.5819434518477777e-245
5.463499583563081e-243
437.0ms
1.3441074945618727e-255
1.1461326414656004e-254
Compiler

Compiled 482 to 355 computations (26.3% saved)

regimes228.0ms (0.8%)

Counts
16 → 2
Calls
Call 1
Inputs
(/.f64 x n)
(/.f64 (/.f64 1 x) n)
(/.f64 (/.f64 1 x) n)
(/.f64 (/.f64 1 n) x)
(/.f64 1 (*.f64 n x))
(*.f64 (/.f64 1 n) (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (*.f64 n x))) 1)
(*.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 (/.f64 1 x) n))
(*.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 (/.f64 1 n) x))
(/.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1/3 x) -1/2))) n)
(*.f64 (/.f64 (/.f64 1 n) x) (-.f64 (+.f64 (/.f64 1/3 (*.f64 x x)) 1) (/.f64 1/2 x)))
(/.f64 (log.f64 1) n)
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
Outputs
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(-.f64 1 (pow.f64 x (/.f64 1 n)))
Calls

4 calls:

89.0ms
x
61.0ms
n
55.0ms
(/.f64 1 n)
19.0ms
(/.f64 1 n)
Results
ErrorSegmentsBranch
12.4b7x
9.4b3n
9.4b2(/.f64 1 n)
9.4b2(/.f64 1 n)
Compiler

Compiled 143 to 95 computations (33.6% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
2.5810099748922087e-14
6.98054140333344e-8
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes229.0ms (0.8%)

Counts
15 → 5
Calls
Call 1
Inputs
(/.f64 x n)
(/.f64 (/.f64 1 x) n)
(/.f64 (/.f64 1 x) n)
(/.f64 (/.f64 1 n) x)
(/.f64 1 (*.f64 n x))
(*.f64 (/.f64 1 n) (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (*.f64 n x))) 1)
(*.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 (/.f64 1 x) n))
(*.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 (/.f64 1 n) x))
(/.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1/3 x) -1/2))) n)
(*.f64 (/.f64 (/.f64 1 n) x) (-.f64 (+.f64 (/.f64 1/3 (*.f64 x x)) 1) (/.f64 1/2 x)))
(/.f64 (log.f64 1) n)
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 1 (pow.f64 x (/.f64 1 n)))
Outputs
(/.f64 (neg.f64 (log.f64 x)) n)
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(/.f64 (-.f64 x (log.f64 x)) n)
(*.f64 (/.f64 (/.f64 1 n) x) (-.f64 (+.f64 (/.f64 1/3 (*.f64 x x)) 1) (/.f64 1/2 x)))
(/.f64 (log.f64 1) n)
Calls

4 calls:

108.0ms
x
42.0ms
(/.f64 1 n)
39.0ms
(/.f64 1 n)
36.0ms
n
Results
ErrorSegmentsBranch
13.9b5x
17.7b5n
17.6b5(/.f64 1 n)
17.6b5(/.f64 1 n)
Compiler

Compiled 135 to 90 computations (33.3% saved)

bsearch2.2s (7.4%)

Algorithm
4×binary-search
Steps
TimeLeftRight
630.0ms
4.1572059563588934e+113
7.652077101028399e+118
171.0ms
7.341955440902788e-6
176.8964943217215
919.0ms
3.5819434518477777e-245
5.463499583563081e-243
447.0ms
1.3441074945618727e-255
1.1461326414656004e-254
Compiler

Compiled 765 to 575 computations (24.8% saved)

regimes130.0ms (0.4%)

Counts
14 → 3
Calls
Call 1
Inputs
(/.f64 x n)
(/.f64 (/.f64 1 x) n)
(/.f64 (/.f64 1 x) n)
(/.f64 (/.f64 1 n) x)
(/.f64 1 (*.f64 n x))
(*.f64 (/.f64 1 n) (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (*.f64 n x))) 1)
(*.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 (/.f64 1 x) n))
(*.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 (/.f64 1 n) x))
(/.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1/3 x) -1/2))) n)
(*.f64 (/.f64 (/.f64 1 n) x) (-.f64 (+.f64 (/.f64 1/3 (*.f64 x x)) 1) (/.f64 1/2 x)))
(/.f64 (log.f64 1) n)
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
Outputs
(/.f64 (-.f64 x (log.f64 x)) n)
(*.f64 (/.f64 (/.f64 1 n) x) (-.f64 (+.f64 (/.f64 1/3 (*.f64 x x)) 1) (/.f64 1/2 x)))
(/.f64 (log.f64 1) n)
Calls

4 calls:

44.0ms
(/.f64 1 n)
32.0ms
(/.f64 1 n)
29.0ms
n
21.0ms
x
Results
ErrorSegmentsBranch
15.1b3x
24.7b4n
24.7b4(/.f64 1 n)
24.7b4(/.f64 1 n)
Compiler

Compiled 128 to 85 computations (33.6% saved)

bsearch1.0s (3.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
820.0ms
4.1572059563588934e+113
7.652077101028399e+118
202.0ms
7.341955440902788e-6
176.8964943217215
Compiler

Compiled 524 to 393 computations (25% saved)

regimes220.0ms (0.8%)

Counts
13 → 3
Calls
Call 1
Inputs
(/.f64 x n)
(/.f64 (/.f64 1 x) n)
(/.f64 (/.f64 1 x) n)
(/.f64 (/.f64 1 n) x)
(/.f64 1 (*.f64 n x))
(*.f64 (/.f64 1 n) (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (*.f64 n x))) 1)
(*.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 (/.f64 1 x) n))
(*.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 (/.f64 1 n) x))
(/.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1/3 x) -1/2))) n)
(*.f64 (/.f64 (/.f64 1 n) x) (-.f64 (+.f64 (/.f64 1/3 (*.f64 x x)) 1) (/.f64 1/2 x)))
(/.f64 (log.f64 1) n)
(/.f64 (neg.f64 (log.f64 x)) n)
Outputs
(/.f64 (neg.f64 (log.f64 x)) n)
(*.f64 (/.f64 (/.f64 1 n) x) (-.f64 (+.f64 (/.f64 1/3 (*.f64 x x)) 1) (/.f64 1/2 x)))
(/.f64 (log.f64 1) n)
Calls

4 calls:

76.0ms
(/.f64 1 n)
69.0ms
n
51.0ms
(/.f64 1 n)
20.0ms
x
Results
ErrorSegmentsBranch
15.5b3x
23.9b6n
23.9b6(/.f64 1 n)
23.9b6(/.f64 1 n)
Compiler

Compiled 122 to 83 computations (32% saved)

bsearch833.0ms (2.8%)

Algorithm
2×binary-search
Steps
TimeLeftRight
536.0ms
4.1572059563588934e+113
7.652077101028399e+118
296.0ms
7.341955440902788e-6
176.8964943217215
Compiler

Compiled 515 to 393 computations (23.7% saved)

regimes60.0ms (0.2%)

Counts
12 → 3
Calls
Call 1
Inputs
(/.f64 x n)
(/.f64 (/.f64 1 x) n)
(/.f64 (/.f64 1 x) n)
(/.f64 (/.f64 1 n) x)
(/.f64 1 (*.f64 n x))
(*.f64 (/.f64 1 n) (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (*.f64 n x))) 1)
(*.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 (/.f64 1 x) n))
(*.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 (/.f64 1 n) x))
(/.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1/3 x) -1/2))) n)
(*.f64 (/.f64 (/.f64 1 n) x) (-.f64 (+.f64 (/.f64 1/3 (*.f64 x x)) 1) (/.f64 1/2 x)))
(/.f64 (log.f64 1) n)
Outputs
(/.f64 (/.f64 1 n) x)
(/.f64 (log.f64 1) n)
(/.f64 (/.f64 1 n) x)
Calls

4 calls:

21.0ms
n
14.0ms
(/.f64 1 n)
14.0ms
(/.f64 1 n)
7.0ms
x
Results
ErrorSegmentsBranch
40.0b1x
32.4b3n
32.6b2(/.f64 1 n)
32.6b2(/.f64 1 n)
Compiler

Compiled 117 to 80 computations (31.6% saved)

bsearch165.0ms (0.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
89.0ms
2.07838367942239e-102
1.306925265861538e-79
76.0ms
-11.99598644283677
-0.036173482669858176
Compiler

Compiled 200 to 159 computations (20.5% saved)

regimes58.0ms (0.2%)

Counts
11 → 2
Calls
Call 1
Inputs
(/.f64 x n)
(/.f64 (/.f64 1 x) n)
(/.f64 (/.f64 1 x) n)
(/.f64 (/.f64 1 n) x)
(/.f64 1 (*.f64 n x))
(*.f64 (/.f64 1 n) (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (*.f64 n x))) 1)
(*.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 (/.f64 1 x) n))
(*.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 (/.f64 1 n) x))
(/.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1/3 x) -1/2))) n)
(*.f64 (/.f64 (/.f64 1 n) x) (-.f64 (+.f64 (/.f64 1/3 (*.f64 x x)) 1) (/.f64 1/2 x)))
Outputs
(-.f64 (+.f64 1 (/.f64 1 (*.f64 n x))) 1)
(/.f64 (/.f64 1 n) x)
Calls

4 calls:

18.0ms
n
13.0ms
(/.f64 1 n)
12.0ms
(/.f64 1 n)
12.0ms
x
Results
ErrorSegmentsBranch
40.9b2x
37.4b3n
37.4b2(/.f64 1 n)
37.4b2(/.f64 1 n)
Compiler

Compiled 113 to 77 computations (31.9% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-27.64455966616832
-0.08336121458332721
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes16.0ms (0.1%)

Counts
6 → 1
Calls
Call 1
Inputs
(/.f64 x n)
(/.f64 (/.f64 1 x) n)
(/.f64 (/.f64 1 x) n)
(/.f64 (/.f64 1 n) x)
(/.f64 1 (*.f64 n x))
(*.f64 (/.f64 1 n) (/.f64 1 x))
Outputs
(/.f64 (/.f64 1 n) x)
Calls

3 calls:

5.0ms
n
5.0ms
(/.f64 1 n)
5.0ms
x
Results
ErrorSegmentsBranch
43.7b1x
43.7b1n
43.7b1(/.f64 1 n)
Compiler

Compiled 43 to 28 computations (34.9% saved)

regimes9.0ms (0%)

Accuracy

Total -17.9b remaining (-41%)

Threshold costs -17.9b (-41%)

Counts
3 → 1
Calls
Call 1
Inputs
(/.f64 x n)
(/.f64 (/.f64 1 x) n)
(/.f64 (/.f64 1 x) n)
Outputs
(/.f64 (/.f64 1 x) n)
Calls

2 calls:

4.0ms
n
3.0ms
x
Results
ErrorSegmentsBranch
43.7b1x
43.7b1n
Compiler

Compiled 21 to 13 computations (38.1% saved)

simplify22.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
12×+-commutative_binary64
9×sub-neg_binary64
8×*-commutative_binary64
5×neg-sub0_binary64
5×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078444
198444
2115444
3123444
4126444
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 x 1) (neg.f64 (expm1.f64 (/.f64 (log.f64 x) n))) (*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x) (/.f64 1 n)))
(if (<=.f64 x 5916898748719451/528294531135665246352339784916516606518847326036121522127960709026673902556724859474417255887657187894674394993257128678882347559502685537250538978462939576908386683999005084168731517676426441053024232908211188404148028292751561738838396898767036476489538580897737998336) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 8856227212065807/246006311446272417135694895366447328831463738361430131889861407236509911043906984606020737387080298687645418100644428599105378407753391907201399550988776412284181771799458695654166637769167516870901097035133833253825096549816225533764062867857067136321933279232) (-.f64 1 (pow.f64 x (/.f64 1 n))) (if (<=.f64 x 175) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x) (/.f64 1 n)))))
(if (<=.f64 x 5916898748719451/528294531135665246352339784916516606518847326036121522127960709026673902556724859474417255887657187894674394993257128678882347559502685537250538978462939576908386683999005084168731517676426441053024232908211188404148028292751561738838396898767036476489538580897737998336) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 8856227212065807/246006311446272417135694895366447328831463738361430131889861407236509911043906984606020737387080298687645418100644428599105378407753391907201399550988776412284181771799458695654166637769167516870901097035133833253825096549816225533764062867857067136321933279232) (-.f64 1 (pow.f64 x (/.f64 1 n))) (if (<=.f64 x 175) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)))))
(if (<=.f64 (/.f64 1 n) 3961408125713217/79228162514264337593543950336) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (-.f64 1 (pow.f64 x (/.f64 1 n))))
(if (<=.f64 x 5916898748719451/528294531135665246352339784916516606518847326036121522127960709026673902556724859474417255887657187894674394993257128678882347559502685537250538978462939576908386683999005084168731517676426441053024232908211188404148028292751561738838396898767036476489538580897737998336) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 8856227212065807/246006311446272417135694895366447328831463738361430131889861407236509911043906984606020737387080298687645418100644428599105378407753391907201399550988776412284181771799458695654166637769167516870901097035133833253825096549816225533764062867857067136321933279232) (-.f64 1 (pow.f64 x (/.f64 1 n))) (if (<=.f64 x 8854437155380585/1180591620717411303424) (/.f64 (-.f64 x (log.f64 x)) n) (if (<=.f64 x 76000000000000003282276321631171517241985444198917179675145217770227306337261215601693768864944492317964327288087511040) (*.f64 (/.f64 (/.f64 1 n) x) (-.f64 (+.f64 (/.f64 1/3 (*.f64 x x)) 1) (/.f64 1/2 x))) (/.f64 (log.f64 1) n)))))
(if (<=.f64 x 8854437155380585/1180591620717411303424) (/.f64 (-.f64 x (log.f64 x)) n) (if (<=.f64 x 76000000000000003282276321631171517241985444198917179675145217770227306337261215601693768864944492317964327288087511040) (*.f64 (/.f64 (/.f64 1 n) x) (-.f64 (+.f64 (/.f64 1/3 (*.f64 x x)) 1) (/.f64 1/2 x))) (/.f64 (log.f64 1) n)))
(if (<=.f64 x 8854437155380585/1180591620717411303424) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 76000000000000003282276321631171517241985444198917179675145217770227306337261215601693768864944492317964327288087511040) (*.f64 (/.f64 (/.f64 1 n) x) (-.f64 (+.f64 (/.f64 1/3 (*.f64 x x)) 1) (/.f64 1/2 x))) (/.f64 (log.f64 1) n)))
(if (<=.f64 n -5983144133781487/9007199254740992) (/.f64 (/.f64 1 n) x) (if (<=.f64 n 2647814816397709/1260864198284623334792929283204595641762551656654894293374345388935863096687910739565256520156317300505812095689818112) (/.f64 (log.f64 1) n) (/.f64 (/.f64 1 n) x)))
(if (<=.f64 (/.f64 1 n) -20) (-.f64 (+.f64 1 (/.f64 1 (*.f64 n x))) 1) (/.f64 (/.f64 1 n) x))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(/.f64 x n)
Outputs
(if (<=.f64 x 1) (neg.f64 (expm1.f64 (/.f64 (log.f64 x) n))) (*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x) (/.f64 1 n)))
(if (<=.f64 x 1) (neg.f64 (expm1.f64 (/.f64 (log.f64 x) n))) (*.f64 (/.f64 1 n) (/.f64 (pow.f64 x (/.f64 1 n)) x)))
(if (<=.f64 x 5916898748719451/528294531135665246352339784916516606518847326036121522127960709026673902556724859474417255887657187894674394993257128678882347559502685537250538978462939576908386683999005084168731517676426441053024232908211188404148028292751561738838396898767036476489538580897737998336) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 8856227212065807/246006311446272417135694895366447328831463738361430131889861407236509911043906984606020737387080298687645418100644428599105378407753391907201399550988776412284181771799458695654166637769167516870901097035133833253825096549816225533764062867857067136321933279232) (-.f64 1 (pow.f64 x (/.f64 1 n))) (if (<=.f64 x 175) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x) (/.f64 1 n)))))
(if (<=.f64 x 5916898748719451/528294531135665246352339784916516606518847326036121522127960709026673902556724859474417255887657187894674394993257128678882347559502685537250538978462939576908386683999005084168731517676426441053024232908211188404148028292751561738838396898767036476489538580897737998336) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 8856227212065807/246006311446272417135694895366447328831463738361430131889861407236509911043906984606020737387080298687645418100644428599105378407753391907201399550988776412284181771799458695654166637769167516870901097035133833253825096549816225533764062867857067136321933279232) (-.f64 1 (pow.f64 x (/.f64 1 n))) (if (<=.f64 x 175) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (*.f64 (/.f64 1 n) (/.f64 (pow.f64 x (/.f64 1 n)) x)))))
(if (<=.f64 x 5916898748719451/528294531135665246352339784916516606518847326036121522127960709026673902556724859474417255887657187894674394993257128678882347559502685537250538978462939576908386683999005084168731517676426441053024232908211188404148028292751561738838396898767036476489538580897737998336) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 8856227212065807/246006311446272417135694895366447328831463738361430131889861407236509911043906984606020737387080298687645418100644428599105378407753391907201399550988776412284181771799458695654166637769167516870901097035133833253825096549816225533764062867857067136321933279232) (-.f64 1 (pow.f64 x (/.f64 1 n))) (if (<=.f64 x 175) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)))))
(if (<=.f64 (/.f64 1 n) 3961408125713217/79228162514264337593543950336) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (-.f64 1 (pow.f64 x (/.f64 1 n))))
(if (<=.f64 x 5916898748719451/528294531135665246352339784916516606518847326036121522127960709026673902556724859474417255887657187894674394993257128678882347559502685537250538978462939576908386683999005084168731517676426441053024232908211188404148028292751561738838396898767036476489538580897737998336) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 8856227212065807/246006311446272417135694895366447328831463738361430131889861407236509911043906984606020737387080298687645418100644428599105378407753391907201399550988776412284181771799458695654166637769167516870901097035133833253825096549816225533764062867857067136321933279232) (-.f64 1 (pow.f64 x (/.f64 1 n))) (if (<=.f64 x 8854437155380585/1180591620717411303424) (/.f64 (-.f64 x (log.f64 x)) n) (if (<=.f64 x 76000000000000003282276321631171517241985444198917179675145217770227306337261215601693768864944492317964327288087511040) (*.f64 (/.f64 (/.f64 1 n) x) (-.f64 (+.f64 (/.f64 1/3 (*.f64 x x)) 1) (/.f64 1/2 x))) (/.f64 (log.f64 1) n)))))
(if (<=.f64 x 5916898748719451/528294531135665246352339784916516606518847326036121522127960709026673902556724859474417255887657187894674394993257128678882347559502685537250538978462939576908386683999005084168731517676426441053024232908211188404148028292751561738838396898767036476489538580897737998336) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 8856227212065807/246006311446272417135694895366447328831463738361430131889861407236509911043906984606020737387080298687645418100644428599105378407753391907201399550988776412284181771799458695654166637769167516870901097035133833253825096549816225533764062867857067136321933279232) (-.f64 1 (pow.f64 x (/.f64 1 n))) (if (<=.f64 x 8854437155380585/1180591620717411303424) (/.f64 (-.f64 x (log.f64 x)) n) (if (<=.f64 x 76000000000000003282276321631171517241985444198917179675145217770227306337261215601693768864944492317964327288087511040) (*.f64 (/.f64 (/.f64 1 n) x) (-.f64 (+.f64 1 (/.f64 1/3 (*.f64 x x))) (/.f64 1/2 x))) (/.f64 0 n)))))
(if (<=.f64 x 5916898748719451/528294531135665246352339784916516606518847326036121522127960709026673902556724859474417255887657187894674394993257128678882347559502685537250538978462939576908386683999005084168731517676426441053024232908211188404148028292751561738838396898767036476489538580897737998336) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 8856227212065807/246006311446272417135694895366447328831463738361430131889861407236509911043906984606020737387080298687645418100644428599105378407753391907201399550988776412284181771799458695654166637769167516870901097035133833253825096549816225533764062867857067136321933279232) (-.f64 1 (pow.f64 x (/.f64 1 n))) (if (<=.f64 x 8854437155380585/1180591620717411303424) (/.f64 (-.f64 x (log.f64 x)) n) (if (<=.f64 x 76000000000000003282276321631171517241985444198917179675145217770227306337261215601693768864944492317964327288087511040) (*.f64 (/.f64 (/.f64 1 n) x) (+.f64 (+.f64 1 (/.f64 1/3 (*.f64 x x))) (/.f64 -1/2 x))) (/.f64 0 n)))))
(if (<=.f64 x 8854437155380585/1180591620717411303424) (/.f64 (-.f64 x (log.f64 x)) n) (if (<=.f64 x 76000000000000003282276321631171517241985444198917179675145217770227306337261215601693768864944492317964327288087511040) (*.f64 (/.f64 (/.f64 1 n) x) (-.f64 (+.f64 (/.f64 1/3 (*.f64 x x)) 1) (/.f64 1/2 x))) (/.f64 (log.f64 1) n)))
(if (<=.f64 x 8854437155380585/1180591620717411303424) (/.f64 (-.f64 x (log.f64 x)) n) (if (<=.f64 x 76000000000000003282276321631171517241985444198917179675145217770227306337261215601693768864944492317964327288087511040) (*.f64 (/.f64 (/.f64 1 n) x) (-.f64 (+.f64 1 (/.f64 1/3 (*.f64 x x))) (/.f64 1/2 x))) (/.f64 0 n)))
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(if (<=.f64 x 8854437155380585/1180591620717411303424) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 76000000000000003282276321631171517241985444198917179675145217770227306337261215601693768864944492317964327288087511040) (*.f64 (/.f64 (/.f64 1 n) x) (-.f64 (+.f64 1 (/.f64 1/3 (*.f64 x x))) (/.f64 1/2 x))) (/.f64 0 n)))
(if (<=.f64 x 8854437155380585/1180591620717411303424) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 76000000000000003282276321631171517241985444198917179675145217770227306337261215601693768864944492317964327288087511040) (*.f64 (/.f64 (/.f64 1 n) x) (+.f64 (+.f64 1 (/.f64 1/3 (*.f64 x x))) (/.f64 -1/2 x))) (/.f64 0 n)))
(if (<=.f64 n -5983144133781487/9007199254740992) (/.f64 (/.f64 1 n) x) (if (<=.f64 n 2647814816397709/1260864198284623334792929283204595641762551656654894293374345388935863096687910739565256520156317300505812095689818112) (/.f64 (log.f64 1) n) (/.f64 (/.f64 1 n) x)))
(if (<=.f64 n -5983144133781487/9007199254740992) (/.f64 (/.f64 1 n) x) (if (<=.f64 n 2647814816397709/1260864198284623334792929283204595641762551656654894293374345388935863096687910739565256520156317300505812095689818112) (/.f64 0 n) (/.f64 (/.f64 1 n) x)))
(if (<=.f64 (/.f64 1 n) -20) (-.f64 (+.f64 1 (/.f64 1 (*.f64 n x))) 1) (/.f64 (/.f64 1 n) x))
(if (<=.f64 (/.f64 1 n) -20) (+.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) -1) (/.f64 (/.f64 1 n) x))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(/.f64 x n)
Compiler

Compiled 325 to 227 computations (30.2% saved)

soundness220.0ms (0.8%)

Algorithm
3×egg-herbie
Rules
936×times-frac_binary64
828×associate-/l*_binary64
697×fma-def_binary64
638×fma-def_binary64
564×associate-/r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
047426
1119420
2299408
31118368
01682497
15212313
217812192
01542613
14592582
215962470
369792453
Stop Event
1×node limit
1×node limit
1×node limit
Compiler

Compiled 1106 to 816 computations (26.2% saved)

end147.0ms (0.5%)

Compiler

Compiled 303 to 189 computations (37.6% saved)

Profiling

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