Details

Time bar (total: 18.1s)

analyze278.0ms (1.5%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
21.4%18.7%68.7%0.1%0%12.5%0%5
26.9%21.9%59.3%0.1%0%18.7%0%6
33.3%25%50%0.1%0%18.7%6.2%7
37%26.5%45.3%0.1%0%21.9%6.2%8
43.9%28.1%35.9%0.1%2.3%21.9%11.7%9
47.1%28.9%32.4%0.1%2.7%23.4%12.5%10
53.3%30.3%26.5%0.1%4.1%23.4%15.5%11
55.2%30.7%25%0.1%4.4%24.2%15.6%12
Compiler

Compiled 16 to 12 computations (25% saved)

sample7.9s (43.5%)

Results
2.1s2771×body1024valid
1.7s1829×body2048valid
1.4s1543×body1024invalid
697.0ms2429×body256valid
522.0ms1227×body512valid
394.0ms821×body256infinite
305.0ms720×body512invalid
269.0ms1312×body256invalid
241.0ms205×body1024infinite
126.0ms246×body512infinite
87.0ms332×body256unsamplable
7.0msbody2048invalid
Bogosity

preprocess56.0ms (0.3%)

Algorithm
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
saturated
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)

simplify54.0ms (0.3%)

Algorithm
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
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)))

eval0.0ms (0%)

Compiler

Compiled 15 to 11 computations (26.7% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
31.4b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
31.4b
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
Compiler

Compiled 15 to 11 computations (26.7% saved)

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(pow.f64 (+.f64 x 1) (/.f64 1 n))
0.0b
(pow.f64 x (/.f64 1 n))
1.7b
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
Compiler

Compiled 36 to 24 computations (33.3% saved)

series55.0ms (0.3%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
20.0ms
x
@0
(pow.f64 x (/.f64 1 n))
14.0ms
x
@-inf
(pow.f64 x (/.f64 1 n))
9.0ms
x
@inf
(pow.f64 x (/.f64 1 n))
2.0ms
x
@-inf
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
2.0ms
x
@inf
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

rewrite75.0ms (0.4%)

Algorithm
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
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 x (/.f64 1 n))
(pow.f64 (+.f64 x 1) (/.f64 1 n))
Outputs
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simplify111.0ms (0.6%)

Algorithm
egg-herbie
Rules
718×times-frac_binary64
469×cancel-sign-sub-inv_binary64
456×fma-neg_binary64
263×unswap-sqr_binary64
230×fma-def_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04706310
111835813
237885495
Stop Event
node limit
Counts
229 → 313
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)))
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(/.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (*.f64 n x))
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(-.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)))))
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(*.f64 (pow.f64 (cbrt.f64 (*.f64 x x)) (/.f64 1 n)) (pow.f64 (cbrt.f64 x) (/.f64 1 n)))
(*.f64 (pow.f64 (sqrt.f64 x) (/.f64 1 n)) (pow.f64 (sqrt.f64 x) (/.f64 1 n)))
(/.f64 (pow.f64 x (exp.f64 (log1p.f64 (/.f64 1 n)))) x)
(sqrt.f64 (pow.f64 x (*.f64 2 (/.f64 1 n))))
(log.f64 (exp.f64 (pow.f64 x (/.f64 1 n))))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x (/.f64 1 n)))))
(cbrt.f64 (pow.f64 x (*.f64 (/.f64 1 n) 3)))
(expm1.f64 (log1p.f64 (pow.f64 x (/.f64 1 n))))
(log1p.f64 (expm1.f64 (pow.f64 x (/.f64 1 n))))
(exp.f64 (/.f64 (log.f64 x) n))
(exp.f64 (*.f64 (/.f64 (log.f64 x) n) 1))
(+.f64 0 (exp.f64 (/.f64 (log1p.f64 x) n)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) 1)
(*.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)))
(*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 1)
(*.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) 2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) 2) (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))
(*.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))
(*.f64 (pow.f64 1 (/.f64 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) (*.f64 2 (/.f64 1 n))) (pow.f64 (cbrt.f64 (+.f64 x 1)) (/.f64 1 n)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 1 n)) (pow.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 1 n)))
(/.f64 (pow.f64 (+.f64 x 1) (exp.f64 (log1p.f64 (/.f64 1 n)))) (+.f64 x 1))
(sqrt.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2))
(log.f64 (exp.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))))
(cbrt.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3))
(expm1.f64 (log1p.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))
(log1p.f64 (expm1.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))
(exp.f64 (/.f64 (log1p.f64 x) n))
(exp.f64 (*.f64 (/.f64 (log1p.f64 x) n) 1))
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 (/.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))))) (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 1 (/.f64 x n)) (*.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 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 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))) (*.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))))
(+.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 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) (+.f64 (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x x)) (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n))) (/.f64 (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n)))) (/.f64 (pow.f64 x 3) (exp.f64 (/.f64 (log.f64 x) n))))))
(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) (+.f64 (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x x)) (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n))) (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (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 -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 (/.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 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 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x x)) (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n))) (+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) (+.f64 (/.f64 (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n)))) (/.f64 (pow.f64 x 3) (exp.f64 (/.f64 (log.f64 x) n)))) (*.f64 (/.f64 (+.f64 (/.f64 1/24 (pow.f64 n 4)) (-.f64 (/.f64 (/.f64 11/24 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 (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x x)) (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n))) (+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) (+.f64 (*.f64 (/.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 (/.f64 11/24 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 (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)))
(+.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))))
(fma.f64 -1 (/.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (+.f64 (/.f64 1/3 n) (/.f64 1/6 (pow.f64 n 3)))) (/.f64 (pow.f64 x 3) (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)))) (+.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 (/.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))) (*.f64 (/.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (+.f64 (/.f64 1/3 n) (/.f64 1/6 (pow.f64 n 3)))) (pow.f64 x 3)) (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)) (-.f64 (*.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 (/.f64 (-.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/3 n)) (/.f64 1/6 (pow.f64 n 3))) (pow.f64 x 3)) (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 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 (/.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)))))
(fma.f64 -1 (/.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (+.f64 (/.f64 1/3 n) (/.f64 1/6 (pow.f64 n 3)))) (/.f64 (pow.f64 x 3) (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)))) (+.f64 (/.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 (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 (pow.f64 x 4) (+.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 (+.f64 (*.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 (/.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)) (pow.f64 x 4)) (+.f64 (/.f64 1/24 (pow.f64 n 4)) (-.f64 (/.f64 (/.f64 11/24 n) n) (+.f64 (/.f64 1/4 (pow.f64 n 3)) (/.f64 1/4 n))))))) (*.f64 (/.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (+.f64 (/.f64 1/3 n) (/.f64 1/6 (pow.f64 n 3)))) (pow.f64 x 3)) (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n))))
(+.f64 (*.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 (+.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)) (pow.f64 x 4)) (+.f64 (/.f64 1/24 (pow.f64 n 4)) (-.f64 (/.f64 (/.f64 11/24 n) n) (+.f64 (/.f64 1/4 (pow.f64 n 3)) (/.f64 1/4 n)))))) (*.f64 (/.f64 (-.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/3 n)) (/.f64 1/6 (pow.f64 n 3))) (pow.f64 x 3)) (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)))))
(-.f64 (exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n)) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 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 (log1p.f64 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 (log1p.f64 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)))
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1
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(exp.f64 (/.f64 (log1p.f64 x) n))
(log.f64 (exp.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))
(exp.f64 (/.f64 (log1p.f64 x) n))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))))
(exp.f64 (/.f64 (log1p.f64 x) n))
(cbrt.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3))
(exp.f64 (/.f64 (log1p.f64 x) n))
(expm1.f64 (log1p.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))
(exp.f64 (/.f64 (log1p.f64 x) n))
(log1p.f64 (expm1.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))
(exp.f64 (/.f64 (log1p.f64 x) n))
(exp.f64 (/.f64 (log1p.f64 x) n))
(exp.f64 (*.f64 (/.f64 (log1p.f64 x) n) 1))
(exp.f64 (/.f64 (log1p.f64 x) n))

eval164.0ms (0.9%)

Compiler

Compiled 10449 to 6151 computations (41.1% saved)

prune60.0ms (0.3%)

Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New30112313
Fresh000
Picked101
Done000
Total30212314
Error
0.4b
Counts
314 → 12
Alt Table
Click to see full alt table
StatusErrorProgram
30.8b
(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))))
30.8b
(pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 3)
17.5b
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
26.8b
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
23.3b
(-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (/.f64 (log1p.f64 x) n)) (+.f64 (/.f64 (log.f64 x) n) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)))))
50.4b
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) 1)
50.4b
(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))
55.5b
(-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) (pow.f64 x (/.f64 1 n)))
30.8b
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
30.8b
(-.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3)) (pow.f64 x (/.f64 1 n)))
35.8b
(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) (+.f64 (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x x)) (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n))) (/.f64 (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n)))) (/.f64 (pow.f64 x 3) (exp.f64 (/.f64 (log.f64 x) n))))))
33.2b
(+.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))))
Compiler

Compiled 572 to 366 computations (36% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
3.1b
(-.f64 (log1p.f64 x) (log.f64 x))
Compiler

Compiled 20 to 6 computations (70% saved)

series50.0ms (0.3%)

Counts
2 → 36
Calls

9 calls:

TimeVariablePointExpression
35.0ms
n
@0
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
12.0ms
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)
0.0ms
x
@0
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)

rewrite55.0ms (0.3%)

Algorithm
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
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)))))))

simplify51.0ms (0.3%)

Algorithm
egg-herbie
Rules
646×fma-def_binary64
571×times-frac_binary64
416×unswap-sqr_binary64
370×distribute-rgt-in_binary64
342×distribute-lft-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02241577
15801515
222811511
Stop Event
node limit
Counts
104 → 136
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)
(+.f64 (log1p.f64 x) (neg.f64 (log.f64 x)))
(+.f64 (log1p.f64 x) (*.f64 (neg.f64 (log.f64 x)) 1))
(+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 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)))
(+.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)))
(+.f64 (neg.f64 (log.f64 x)) (log1p.f64 x))
(*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 1)
(*.f64 1 (-.f64 (log1p.f64 x) (log.f64 x)))
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 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))))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (+.f64 (log1p.f64 x) (log.f64 x))))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log.f64 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))))
(/.f64 1 (/.f64 (+.f64 (log1p.f64 x) (log.f64 x)) (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))))
(/.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)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (+.f64 (log1p.f64 x) (log.f64 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))))))
(/.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))))
(/.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))))))
(/.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))))
(pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 1)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 3)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2)
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2))
(log.f64 (/.f64 (+.f64 x 1) x))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x))))
(log1p.f64 (-.f64 (/.f64 (+.f64 x 1) x) 1))
(exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x))))
(fma.f64 1 (log1p.f64 x) (neg.f64 (log.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)) (neg.f64 (log.f64 x)))
(fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) (neg.f64 (log.f64 x)))
(+.f64 (/.f64 (log1p.f64 x) n) (neg.f64 (/.f64 (log.f64 x) n)))
(-.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n))
(-.f64 (+.f64 1 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 1)
(*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (/.f64 1 n))
(*.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 1)
(*.f64 1 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
(*.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)))
(*.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))
(*.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)))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 1 n)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))
(*.f64 (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 1 (neg.f64 n)))
(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 n)))
(*.f64 (/.f64 1 (sqrt.f64 n)) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n)))
(*.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))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 1) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n))
(*.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 (/.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)))
(*.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)))
(pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 1)
(pow.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2)
(pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1)
(neg.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (neg.f64 n)))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 2))
(log.f64 (pow.f64 (/.f64 (+.f64 x 1) x) (/.f64 1 n)))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3) (pow.f64 n 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))
(exp.f64 (log.f64 (/.f64 (-.f64 (log1p.f64 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))))
(fma.f64 -1/2 (*.f64 x x) (-.f64 x (log.f64 x)))
(fma.f64 x (*.f64 x -1/2) (-.f64 x (log.f64 x)))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 x (*.f64 -1 (log.f64 x)))))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (+.f64 x (neg.f64 (log.f64 x)))))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (-.f64 x (log.f64 x))))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 x (*.f64 x -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 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1/3 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 1/2 (*.f64 x x))))
(+.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) (/.f64 1/3 (pow.f64 x 3)))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1/4 (pow.f64 x 4))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1/4 (pow.f64 x 4)))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 1/2 x) x) (/.f64 1/4 (pow.f64 x 4)))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x)))
(+.f64 (/.f64 1 x) (/.f64 -1/2 (*.f64 x x)))
(-.f64 (/.f64 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 1 x) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 1/2 (*.f64 x x))))
(+.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) (/.f64 1/3 (pow.f64 x 3)))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1/4 (pow.f64 x 4))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1/4 (pow.f64 x 4)))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 1/2 x) x) (/.f64 1/4 (pow.f64 x 4)))))
(*.f64 -1 (/.f64 (log.f64 x) n))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 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 -1/2 (/.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 x n) (fma.f64 -1/2 (/.f64 x (/.f64 n x)) (neg.f64 (/.f64 (log.f64 x) n))))
(fma.f64 -1/2 (/.f64 x (/.f64 n x)) (-.f64 (/.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 (fma.f64 -1/2 (/.f64 x (/.f64 n x)) (neg.f64 (/.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 1 (*.f64 n x))
(/.f64 1 (*.f64 x n))
(/.f64 (/.f64 1 n) x)
(/.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 (/.f64 1 n) x) (/.f64 -1/2 (*.f64 x (*.f64 x n))))
(-.f64 (/.f64 (/.f64 1 x) n) (/.f64 (/.f64 (/.f64 1/2 x) 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 (/.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 (/.f64 1 x) n) (/.f64 (/.f64 (/.f64 1/2 x) x) n)) (/.f64 1/3 (*.f64 (pow.f64 x 3) n)))
(-.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 (/.f64 1 (*.f64 x n)) (/.f64 1/3 (*.f64 (pow.f64 x 3) n))) (/.f64 1/4 (*.f64 (pow.f64 x 4) 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 (/.f64 1/2 (*.f64 x (*.f64 x n))) (/.f64 1/4 (*.f64 (pow.f64 x 4) n)))))
(+.f64 (+.f64 (-.f64 (/.f64 (/.f64 1 x) n) (/.f64 (/.f64 (/.f64 1/2 x) x) n)) (/.f64 1/3 (*.f64 (pow.f64 x 3) n))) (/.f64 (/.f64 -1/4 (pow.f64 x 4)) n))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 x n))
(/.f64 (/.f64 1 n) x)
(/.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 (/.f64 1 n) x) (/.f64 -1/2 (*.f64 x (*.f64 x n))))
(-.f64 (/.f64 (/.f64 1 x) n) (/.f64 (/.f64 (/.f64 1/2 x) 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 (/.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 (/.f64 1 x) n) (/.f64 (/.f64 (/.f64 1/2 x) x) n)) (/.f64 1/3 (*.f64 (pow.f64 x 3) n)))
(-.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 (/.f64 1 (*.f64 x n)) (/.f64 1/3 (*.f64 (pow.f64 x 3) n))) (/.f64 1/4 (*.f64 (pow.f64 x 4) 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 (/.f64 1/2 (*.f64 x (*.f64 x n))) (/.f64 1/4 (*.f64 (pow.f64 x 4) n)))))
(+.f64 (+.f64 (-.f64 (/.f64 (/.f64 1 x) n) (/.f64 (/.f64 (/.f64 1/2 x) x) n)) (/.f64 1/3 (*.f64 (pow.f64 x 3) n))) (/.f64 (/.f64 -1/4 (pow.f64 x 4)) 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 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(+.f64 (log1p.f64 x) (neg.f64 (log.f64 x)))
(-.f64 (log1p.f64 x) (log.f64 x))
(+.f64 (log1p.f64 x) (*.f64 (neg.f64 (log.f64 x)) 1))
(-.f64 (log1p.f64 x) (log.f64 x))
(+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))
(-.f64 (log1p.f64 x) (log.f64 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)))
(-.f64 (log1p.f64 x) (log.f64 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)))
(-.f64 (log1p.f64 x) (log.f64 x))
(+.f64 (neg.f64 (log.f64 x)) (log1p.f64 x))
(-.f64 (log1p.f64 x) (log.f64 x))
(*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 1)
(-.f64 (log1p.f64 x) (log.f64 x))
(*.f64 1 (-.f64 (log1p.f64 x) (log.f64 x)))
(-.f64 (log1p.f64 x) (log.f64 x))
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2))
(-.f64 (log1p.f64 x) (log.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))))
(-.f64 (log1p.f64 x) (log.f64 x))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))))
(-.f64 (log1p.f64 x) (log.f64 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))))))
(*.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 (log.f64 x) (log1p.f64 x))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) 2)))
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (+.f64 (log1p.f64 x) (log.f64 x))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (+.f64 (log.f64 x) (log1p.f64 x))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (+.f64 (log.f64 x) (log1p.f64 x)))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log.f64 x))))
(-.f64 (log1p.f64 x) (log.f64 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))))
(*.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 (log.f64 x) (log1p.f64 x))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) 2)))
(/.f64 1 (/.f64 (+.f64 (log1p.f64 x) (log.f64 x)) (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (+.f64 (log.f64 x) (log1p.f64 x))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (+.f64 (log.f64 x) (log1p.f64 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)))))
(*.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 (log.f64 x) (log1p.f64 x))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) 2)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (+.f64 (log1p.f64 x) (log.f64 x)))
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (+.f64 (log.f64 x) (log1p.f64 x))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (+.f64 (log.f64 x) (log1p.f64 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))))))
(*.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 (log.f64 x) (log1p.f64 x))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) 2)))
(/.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))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (+.f64 (log.f64 x) (log1p.f64 x))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (+.f64 (log.f64 x) (log1p.f64 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))))))
(*.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 (log.f64 x) (log1p.f64 x))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) 2)))
(/.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))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (+.f64 (log.f64 x) (log1p.f64 x))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (+.f64 (log.f64 x) (log1p.f64 x)))
(pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 1)
(-.f64 (log1p.f64 x) (log.f64 x))
(pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3) 1/3)
(-.f64 (log1p.f64 x) (log.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 3)
(-.f64 (log1p.f64 x) (log.f64 x))
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2)
(-.f64 (log1p.f64 x) (log.f64 x))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2))
(-.f64 (log1p.f64 x) (log.f64 x))
(log.f64 (/.f64 (+.f64 x 1) x))
(-.f64 (log1p.f64 x) (log.f64 x))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3))
(-.f64 (log1p.f64 x) (log.f64 x))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x))))
(-.f64 (log1p.f64 x) (log.f64 x))
(log1p.f64 (-.f64 (/.f64 (+.f64 x 1) x) 1))
(log1p.f64 (+.f64 (/.f64 (+.f64 x 1) x) -1))
(log1p.f64 (+.f64 -1 (/.f64 (+.f64 x 1) x)))
(exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x))))
(-.f64 (log1p.f64 x) (log.f64 x))
(fma.f64 1 (log1p.f64 x) (neg.f64 (log.f64 x)))
(-.f64 (log1p.f64 x) (log.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)) (neg.f64 (log.f64 x)))
(-.f64 (log1p.f64 x) (log.f64 x))
(fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) (neg.f64 (log.f64 x)))
(-.f64 (log1p.f64 x) (log.f64 x))
(+.f64 (/.f64 (log1p.f64 x) n) (neg.f64 (/.f64 (log.f64 x) n)))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(-.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(-.f64 (+.f64 1 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 1)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (/.f64 1 n))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(*.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 1)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(*.f64 1 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(*.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)))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(*.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))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(*.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)))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 1 n)))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(*.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(*.f64 (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 1 (neg.f64 n)))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x)))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 n)))
(/.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 n)) (pow.f64 (cbrt.f64 n) 2))
(*.f64 (/.f64 1 (sqrt.f64 n)) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n)))
(/.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n)) (sqrt.f64 n))
(*.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))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(*.f64 (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 1) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(*.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 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (pow.f64 (cbrt.f64 n) 2)))
(*.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)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 n)))
(/.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 n)) (pow.f64 (cbrt.f64 n) 2))
(*.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)))
(*.f64 (/.f64 1 (sqrt.f64 n)) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n)))
(/.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n)) (sqrt.f64 n))
(pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 1)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(pow.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 3) 1/3)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 3)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(neg.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (neg.f64 n)))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 2))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(log.f64 (pow.f64 (/.f64 (+.f64 x 1) x) (/.f64 1 n)))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 3))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3) (pow.f64 n 3)))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(exp.f64 (log.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(pow.f64 (+.f64 x 1) (/.f64 1 n))
1.6b
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) 1)
Compiler

Compiled 27 to 19 computations (29.6% saved)

series3.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite51.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
920×pow1_binary64
857×add-log-exp_binary64
856×log1p-expm1-u_binary64
856×expm1-log1p-u_binary64
838×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0813
11828
224508
Stop Event
node limit
Counts
1 → 31
Calls
Call 1
Inputs
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (exp.f64 (/.f64 (log1p.f64 x) n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (expm1.f64 (/.f64 (log1p.f64 x) n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))) (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))) 2) (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) -1) (/.f64 1 (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) -1) (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) 1) (-.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)))) (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))) (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) -1) (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) -1) (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (-.f64 1 (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) -1) (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) -1) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) -1)) (neg.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) -1)) (neg.f64 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (/.f64 (log1p.f64 x) n))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) 2) (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) -1)))))

simplify60.0ms (0.3%)

Algorithm
egg-herbie
Rules
572×fma-neg_binary64
468×associate-*l*_binary64
454×associate-*r*_binary64
405×fma-def_binary64
269×times-frac_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01721472
14591416
214391342
376861332
Stop Event
node limit
Counts
55 → 91
Calls
Call 1
Inputs
(/.f64 x n)
(+.f64 (/.f64 x n) (*.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 (-.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 (*.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 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 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 1)
(-.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)))) 1)
(-.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))))) 1)
(-.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)))))) 1)
(-.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) 1)
(-.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))) 1)
(-.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)))) 1)
(-.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))))) 1)
(-.f64 (exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n)) 1)
(-.f64 (exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n)) 1)
(-.f64 (exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n)) 1)
(-.f64 (exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n)) 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 (log.f64 (+.f64 1 x)) n))
(+.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 1/2 (/.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 (log.f64 (+.f64 1 x)) n)
(+.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 1/2 (/.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 1/2 (/.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 (exp.f64 (/.f64 (log1p.f64 x) n)) -1)
(+.f64 -1 (exp.f64 (/.f64 (log1p.f64 x) n)))
(*.f64 1 (expm1.f64 (/.f64 (log1p.f64 x) n)))
(*.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)) 1)
(*.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))) (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))) 2) (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))))
(*.f64 (sqrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))))
(*.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) -1) (/.f64 1 (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))))))
(*.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) -1) (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)))))
(*.f64 (+.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) 1) (-.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)))) (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) -1)))
(/.f64 1 (/.f64 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))) (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) -1)))
(/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) -1) (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) -1) (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (-.f64 1 (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) -1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) -1) (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) -1) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) -1)) (neg.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) -1)) (neg.f64 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)))))
(pow.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)) 1)
(pow.f64 (pow.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)) 3) 1/3)
(pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))) 3)
(pow.f64 (sqrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))) 2)
(sqrt.f64 (pow.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)) 2))
(log.f64 (exp.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))))
(cbrt.f64 (pow.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)) 3))
(expm1.f64 (/.f64 (log1p.f64 x) n))
(log1p.f64 (expm1.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))))
(exp.f64 (log.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))))
(fma.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) 2) (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) -1)
(fma.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) -1)
Outputs
(/.f64 x n)
(+.f64 (/.f64 x n) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)))
(+.f64 (/.f64 x n) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x)))
(fma.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (*.f64 x x) (/.f64 x n))
(fma.f64 x (*.f64 x (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n))) (/.f64 x n))
(+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2)))) (pow.f64 x 3)) (+.f64 (/.f64 x n) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2))))
(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 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))))
(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) (fma.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (*.f64 x x) (/.f64 x n)))
(fma.f64 x (*.f64 x (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n))) (fma.f64 (+.f64 (/.f64 1/6 (pow.f64 n 3)) (+.f64 (/.f64 1/3 n) (/.f64 -1/2 (*.f64 n n)))) (pow.f64 x 3) (/.f64 x n)))
(+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2)))) (pow.f64 x 3)) (+.f64 (/.f64 x n) (+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)) (*.f64 (-.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)))))
(fma.f64 (+.f64 (/.f64 1/3 n) (-.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 1/2 (*.f64 n n)))) (pow.f64 x 3) (+.f64 (/.f64 x n) (fma.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x) (*.f64 (-.f64 (+.f64 (/.f64 1/24 (pow.f64 n 4)) (/.f64 11/24 (*.f64 n n))) (+.f64 (/.f64 1/4 (pow.f64 n 3)) (/.f64 1/4 n))) (pow.f64 x 4)))))
(+.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) (fma.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (*.f64 x x) (/.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)))) (pow.f64 x 4)))
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(expm1.f64 (/.f64 (log1p.f64 x) n))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)))) (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) -1)))
(*.f64 (+.f64 -1 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3)) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (+.f64 1 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3)) (fma.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))) 1))
(/.f64 1 (/.f64 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))) (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) -1)))
(*.f64 (+.f64 -1 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2)) (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2)) (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) -1) (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)))))
(*.f64 (+.f64 -1 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3)) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (+.f64 1 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3)) (fma.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))) 1))
(/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) -1) (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (-.f64 1 (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) -1))))
(*.f64 (+.f64 -1 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3)) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (+.f64 1 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3)) (fma.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))) 1))
(/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) -1) (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))))
(*.f64 (+.f64 -1 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2)) (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2)) (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) -1) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) -1))
(*.f64 (+.f64 -1 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2)) (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2)) (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) -1)) (neg.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))))))
(*.f64 (+.f64 -1 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3)) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (+.f64 1 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3)) (fma.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))) 1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) -1)) (neg.f64 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)))))
(*.f64 (+.f64 -1 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2)) (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2)) (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))))
(pow.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)) 1)
(expm1.f64 (/.f64 (log1p.f64 x) n))
(pow.f64 (pow.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)) 3) 1/3)
(expm1.f64 (/.f64 (log1p.f64 x) n))
(pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))) 3)
(expm1.f64 (/.f64 (log1p.f64 x) n))
(pow.f64 (sqrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))) 2)
(expm1.f64 (/.f64 (log1p.f64 x) n))
(sqrt.f64 (pow.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)) 2))
(expm1.f64 (/.f64 (log1p.f64 x) n))
(log.f64 (exp.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))))
(expm1.f64 (/.f64 (log1p.f64 x) n))
(cbrt.f64 (pow.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)) 3))
(expm1.f64 (/.f64 (log1p.f64 x) n))
(expm1.f64 (/.f64 (log1p.f64 x) n))
(log1p.f64 (expm1.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))))
(expm1.f64 (/.f64 (log1p.f64 x) n))
(exp.f64 (log.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))))
(expm1.f64 (/.f64 (log1p.f64 x) n))
(fma.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)) -1)
(expm1.f64 (/.f64 (log1p.f64 x) n))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) 2) (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) -1)
(expm1.f64 (/.f64 (log1p.f64 x) n))
(fma.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) -1)
(expm1.f64 (/.f64 (log1p.f64 x) n))

localize32.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.7b
(/.f64 1/2 (*.f64 n n))
2.6b
(-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) (pow.f64 x (/.f64 1 n)))
4.6b
(+.f64 (+.f64 1 (/.f64 x n)) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x)))
9.4b
(*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))
Compiler

Compiled 102 to 51 computations (50% saved)

series13.0ms (0.1%)

Counts
4 → 84
Calls

21 calls:

TimeVariablePointExpression
2.0ms
n
@-inf
(+.f64 (+.f64 1 (/.f64 x n)) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x)))
1.0ms
x
@0
(*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))
1.0ms
n
@0
(*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))
1.0ms
x
@inf
(+.f64 (+.f64 1 (/.f64 x n)) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x)))
1.0ms
n
@inf
(*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))

rewrite87.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
586×fma-neg_binary64
354×expm1-udef_binary64
353×log1p-udef_binary64
213×add-sqr-sqrt_binary64
207×pow1_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01791
140878
2640878
Stop Event
node limit
Counts
4 → 148
Calls
Call 1
Inputs
(*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))
(+.f64 (+.f64 1 (/.f64 x n)) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x)))
(-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) (pow.f64 x (/.f64 1 n)))
(/.f64 1/2 (*.f64 n n))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/2 (pow.f64 n -2)) (*.f64 x x)) (*.f64 (/.f64 -1/2 n) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x x) (*.f64 1/2 (pow.f64 n -2))) (*.f64 (*.f64 x x) (/.f64 -1/2 n)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 1/2 n) (*.f64 1/2 (*.f64 n n))) (*.f64 x x)) (pow.f64 n 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 1/8 (pow.f64 (pow.f64 n -2) 3)) (/.f64 1/8 (pow.f64 n 3))) (*.f64 x x)) (+.f64 (/.f64 1/4 (pow.f64 n 4)) (+.f64 (/.f64 1/4 (*.f64 n n)) (/.f64 1/4 (pow.f64 n 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n))) (*.f64 x x)) (fma.f64 1/2 (pow.f64 n -2) (/.f64 1/2 n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 1/2 n) (*.f64 1/2 (*.f64 n n)))) (pow.f64 n 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 1/8 (pow.f64 (pow.f64 n -2) 3)) (/.f64 1/8 (pow.f64 n 3)))) (+.f64 (/.f64 1/4 (pow.f64 n 4)) (+.f64 (/.f64 1/4 (*.f64 n n)) (/.f64 1/4 (pow.f64 n 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n)))) (fma.f64 1/2 (pow.f64 n -2) (/.f64 1/2 n)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) (pow.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 x n)) 2) (+.f64 1 (-.f64 (/.f64 x n) (*.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x))))) (/.f64 (*.f64 (pow.f64 x 4) (pow.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) 2)) (+.f64 1 (-.f64 (/.f64 x n) (*.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n)))) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n)))) 2) (cbrt.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n)))) (sqrt.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 x n)) 3) (pow.f64 (*.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 x n)) 2) (*.f64 (*.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x)) (-.f64 (*.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x)) (+.f64 1 (/.f64 x n)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 x n)) 2) (*.f64 (pow.f64 x 4) (pow.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) 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simplify118.0ms (0.6%)

Algorithm
egg-herbie
Rules
887×times-frac_binary64
853×fma-neg_binary64
268×fma-def_binary64
173×log-prod_binary64
171×associate-*r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04557336
112686869
248286848
Stop Event
node limit
Counts
232 → 321
Calls
Call 1
Inputs
(*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2)))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n)))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n)))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n)))
(*.f64 -1/2 (/.f64 (pow.f64 x 2) n))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n)))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n)))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n)))
(*.f64 -1/2 (/.f64 (pow.f64 x 2) n))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n)))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n)))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n)))
(*.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))
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 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 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2))
(+.f64 (/.f64 x n) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)))
(+.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 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 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2))
(+.f64 (/.f64 x n) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)))
(+.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 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 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2)))
(+.f64 (/.f64 x n) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n))))
(+.f64 (/.f64 x n) (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n)))))
(+.f64 (/.f64 x n) (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n)))))
1
(+.f64 (/.f64 x n) (+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 x 2) n))))
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(+.f64 (*.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x)) (+.f64 (+.f64 1 (/.f64 x n)) (neg.f64 (pow.f64 x (/.f64 1 n)))))
(+.f64 1 (-.f64 (+.f64 (*.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x)) (/.f64 x n)) (pow.f64 x (/.f64 1 n))))
(+.f64 1 (+.f64 (/.f64 x n) (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (neg.f64 (pow.f64 x (/.f64 1 n))))))
(+.f64 1 (+.f64 (+.f64 (*.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x)) (/.f64 x n)) (neg.f64 (pow.f64 x (/.f64 1 n)))))
(+.f64 (/.f64 x n) (+.f64 1 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (neg.f64 (pow.f64 x (/.f64 1 n))))))
(+.f64 (+.f64 1 (/.f64 x n)) (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (neg.f64 (pow.f64 x (/.f64 1 n)))))
(+.f64 (+.f64 1 (/.f64 x n)) (*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (neg.f64 (pow.f64 x (/.f64 1 n)))) 1))
(+.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))) (neg.f64 (pow.f64 x (/.f64 1 n))))
(+.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))) (*.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1))
(+.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))) (pow.f64 x (/.f64 1 n))) (fma.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1 (pow.f64 x (/.f64 1 n))))
(+.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.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 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))) (pow.f64 x (/.f64 1 n))) (+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 1 n))))
(+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))))
(+.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (neg.f64 (pow.f64 x (/.f64 1 n)))) (+.f64 1 (/.f64 x n)))
(*.f64 1 (-.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))) (pow.f64 x (/.f64 1 n))))
(*.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))) (pow.f64 x (/.f64 1 n))) 1)
(*.f64 (cbrt.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))) (pow.f64 x (/.f64 1 n)))) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))) (pow.f64 x (/.f64 1 n)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))) (pow.f64 x (/.f64 1 n)))) 2) (cbrt.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))) (pow.f64 x (/.f64 1 n)))))
(*.f64 (sqrt.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))) (pow.f64 x (/.f64 1 n)))) (sqrt.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))) (pow.f64 x (/.f64 1 n)))))
(*.f64 (-.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))) 3) (pow.f64 x (*.f64 (/.f64 1 n) 3))) (/.f64 1 (+.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))) 2) (*.f64 (pow.f64 x (/.f64 1 n)) (+.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))) (pow.f64 x (/.f64 1 n)))))))
(*.f64 (-.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))) 2) (pow.f64 x (*.f64 2 (/.f64 1 n)))) (/.f64 1 (+.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))) (pow.f64 x (/.f64 1 n)))))
(*.f64 (+.f64 (sqrt.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n)))) (pow.f64 x (/.f64 1/2 n))) (-.f64 (sqrt.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n)))) (pow.f64 x (/.f64 1/2 n))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))) 2) (*.f64 (pow.f64 x (/.f64 1 n)) (+.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))) (pow.f64 x (/.f64 1 n))))) (-.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))) 3) (pow.f64 x (*.f64 (/.f64 1 n) 3)))))
(/.f64 1 (/.f64 (+.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))) (pow.f64 x (/.f64 1 n))) (-.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))) 2) (pow.f64 x (*.f64 2 (/.f64 1 n))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))) 3) (pow.f64 x (*.f64 (/.f64 1 n) 3))) (+.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))) 2) (*.f64 (pow.f64 x (/.f64 1 n)) (+.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))) (pow.f64 x (/.f64 1 n))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))) 2) (pow.f64 x (*.f64 2 (/.f64 1 n)))) (+.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))) (pow.f64 x (/.f64 1 n))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))) 3) (pow.f64 x (*.f64 (/.f64 1 n) 3)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))) 2) (*.f64 (pow.f64 x (/.f64 1 n)) (+.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))) (pow.f64 x (/.f64 1 n)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))) 2) (pow.f64 x (*.f64 2 (/.f64 1 n))))) (neg.f64 (+.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))) (pow.f64 x (/.f64 1 n)))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 x n)) 3) (pow.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (neg.f64 (pow.f64 x (/.f64 1 n)))) 3)) (+.f64 (pow.f64 (+.f64 1 (/.f64 x n)) 2) (-.f64 (*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (neg.f64 (pow.f64 x (/.f64 1 n)))) (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (neg.f64 (pow.f64 x (/.f64 1 n))))) (*.f64 (+.f64 1 (/.f64 x n)) (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (neg.f64 (pow.f64 x (/.f64 1 n))))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))) 3) (pow.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 3)) (+.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))) 2) (-.f64 (*.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (neg.f64 (pow.f64 x (/.f64 1 n)))) (*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))) (neg.f64 (pow.f64 x (/.f64 1 n)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 x n)) 2) (*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (neg.f64 (pow.f64 x (/.f64 1 n)))) (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (neg.f64 (pow.f64 x (/.f64 1 n)))))) (-.f64 (+.f64 1 (/.f64 x n)) (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (neg.f64 (pow.f64 x (/.f64 1 n))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))) 2) (*.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (neg.f64 (pow.f64 x (/.f64 1 n))))) (-.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))) (neg.f64 (pow.f64 x (/.f64 1 n)))))
(pow.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))) (pow.f64 x (/.f64 1 n))) 1)
(pow.f64 (pow.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))) (pow.f64 x (/.f64 1 n))) 3) 1/3)
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))) (pow.f64 x (/.f64 1 n)))) 3)
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))) (pow.f64 x (/.f64 1 n)))) 2)
(sqrt.f64 (pow.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))) (pow.f64 x (/.f64 1 n))) 2))
(log.f64 (exp.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))) (pow.f64 x (/.f64 1 n)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))) (pow.f64 x (/.f64 1 n))))))
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))) (pow.f64 x (/.f64 1 n))) 3))
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))) (pow.f64 x (/.f64 1 n)))))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))) (pow.f64 x (/.f64 1 n)))))
(exp.f64 (log.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))) (pow.f64 x (/.f64 1 n)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))) (pow.f64 x (/.f64 1 n)))) 1))
(fma.f64 1 (+.f64 1 (/.f64 x n)) (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (neg.f64 (pow.f64 x (/.f64 1 n)))))
(fma.f64 1 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))) (neg.f64 (pow.f64 x (/.f64 1 n))))
(fma.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))) 1 (neg.f64 (pow.f64 x (/.f64 1 n))))
(fma.f64 (cbrt.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n)))) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n)))) 2) (neg.f64 (pow.f64 x (/.f64 1 n))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n)))) 2) (cbrt.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n)))) (neg.f64 (pow.f64 x (/.f64 1 n))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 x n))) 2) (cbrt.f64 (+.f64 1 (/.f64 x n))) (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (neg.f64 (pow.f64 x (/.f64 1 n)))))
(fma.f64 (sqrt.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n)))) (sqrt.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n)))) (neg.f64 (pow.f64 x (/.f64 1 n))))
(fma.f64 (sqrt.f64 (+.f64 1 (/.f64 x n))) (sqrt.f64 (+.f64 1 (/.f64 x n))) (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (neg.f64 (pow.f64 x (/.f64 1 n)))))
(fma.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 x n)) 3) (pow.f64 (*.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 x n)) 2) (*.f64 (*.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x)) (-.f64 (*.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x)) (+.f64 1 (/.f64 x n)))))) (neg.f64 (pow.f64 x (/.f64 1 n))))
(fma.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 x n)) 2) (*.f64 (pow.f64 x 4) (pow.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) 2))) (/.f64 1 (+.f64 1 (-.f64 (/.f64 x n) (*.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x))))) (neg.f64 (pow.f64 x (/.f64 1 n))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (pow.f64 n -2)))) 1)
(*.f64 1/2 (pow.f64 n -2))
(*.f64 (*.f64 1/2 (pow.f64 n -2)) 1)
(*.f64 (/.f64 1/2 n) (/.f64 1 n))
(*.f64 1 (*.f64 1/2 (pow.f64 n -2)))
(*.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 n -2))) (cbrt.f64 (/.f64 1/4 (pow.f64 n 4))))
(*.f64 (cbrt.f64 (/.f64 1/4 (pow.f64 n 4))) (cbrt.f64 (*.f64 1/2 (pow.f64 n -2))))
(*.f64 (pow.f64 n -1/2) (/.f64 (/.f64 1/2 n) (sqrt.f64 n)))
(*.f64 (/.f64 (sqrt.f64 1/2) n) (/.f64 (sqrt.f64 1/2) n))
(*.f64 -1/2 (/.f64 1 (*.f64 n (neg.f64 n))))
(*.f64 (pow.f64 n -2) 1/2)
(*.f64 (/.f64 (cbrt.f64 (/.f64 1/4 (*.f64 n n))) 1) (/.f64 (cbrt.f64 (/.f64 1/2 n)) n))
(*.f64 (/.f64 (sqrt.f64 (/.f64 1/2 n)) 1) (/.f64 (sqrt.f64 (/.f64 1/2 n)) n))
(*.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (/.f64 1 n) (cbrt.f64 n)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (/.f64 1/2 n) (cbrt.f64 n)))
(*.f64 (/.f64 (cbrt.f64 (/.f64 1/4 (*.f64 n n))) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 (*.f64 1/2 (pow.f64 n -2))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 1/2 n)) (pow.f64 (cbrt.f64 n) 2)) (/.f64 (sqrt.f64 (/.f64 1/2 n)) (cbrt.f64 n)))
(*.f64 (/.f64 1/2 (sqrt.f64 n)) (/.f64 (/.f64 1 n) (sqrt.f64 n)))
(*.f64 (/.f64 (cbrt.f64 (/.f64 1/4 (*.f64 n n))) (sqrt.f64 n)) (/.f64 (cbrt.f64 (/.f64 1/2 n)) (sqrt.f64 n)))
(pow.f64 (*.f64 1/2 (pow.f64 n -2)) 1)
(pow.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 n -2))) 3)
(pow.f64 (/.f64 (sqrt.f64 1/2) n) 2)
(pow.f64 (*.f64 1/8 (pow.f64 (pow.f64 n -2) 3)) 1/3)
(pow.f64 (*.f64 (*.f64 n n) 2) -1)
(sqrt.f64 (/.f64 1/4 (pow.f64 n 4)))
(log.f64 (pow.f64 (exp.f64 1/2) (pow.f64 n -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (pow.f64 n -2)))))
(cbrt.f64 (*.f64 1/8 (pow.f64 (pow.f64 n -2) 3)))
(expm1.f64 (log1p.f64 (*.f64 1/2 (pow.f64 n -2))))
(log1p.f64 (expm1.f64 (*.f64 1/2 (pow.f64 n -2))))
(exp.f64 (log.f64 (*.f64 1/2 (pow.f64 n -2))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/2 (pow.f64 n -2))) 1))
Outputs
(*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2)))
(*.f64 1/2 (/.f64 (*.f64 x x) (*.f64 n n)))
(*.f64 1/2 (/.f64 (/.f64 x (/.f64 n x)) n))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n)))
(fma.f64 1/2 (/.f64 (*.f64 x x) (*.f64 n n)) (*.f64 x (*.f64 x (/.f64 -1/2 n))))
(fma.f64 1/2 (/.f64 (/.f64 x (/.f64 n x)) n) (*.f64 x (*.f64 x (/.f64 -1/2 n))))
(fma.f64 1/2 (/.f64 (/.f64 x (/.f64 n x)) n) (*.f64 -1/2 (/.f64 x (/.f64 n x))))
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(-.f64 (fma.f64 (*.f64 x x) (/.f64 (+.f64 (/.f64 1/2 n) -1/2) n) (+.f64 1 (/.f64 x n))) (pow.f64 x (/.f64 1 n)))
(+.f64 1 (fma.f64 (*.f64 x x) (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n) (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n)))))
(+.f64 1 (-.f64 (fma.f64 (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x)) x (/.f64 x n)) (pow.f64 x (/.f64 1 n))))
(fma.f64 (sqrt.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n)))) (sqrt.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n)))) (neg.f64 (pow.f64 x (/.f64 1 n))))
(-.f64 (fma.f64 (*.f64 x x) (/.f64 (+.f64 (/.f64 1/2 n) -1/2) n) (+.f64 1 (/.f64 x n))) (pow.f64 x (/.f64 1 n)))
(+.f64 1 (fma.f64 (*.f64 x x) (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n) (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n)))))
(+.f64 1 (-.f64 (fma.f64 (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x)) x (/.f64 x n)) (pow.f64 x (/.f64 1 n))))
(fma.f64 (sqrt.f64 (+.f64 1 (/.f64 x n))) (sqrt.f64 (+.f64 1 (/.f64 x n))) (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (neg.f64 (pow.f64 x (/.f64 1 n)))))
(-.f64 (fma.f64 (*.f64 x x) (/.f64 (+.f64 (/.f64 1/2 n) -1/2) n) (+.f64 1 (/.f64 x n))) (pow.f64 x (/.f64 1 n)))
(+.f64 1 (fma.f64 (*.f64 x x) (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n) (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n)))))
(+.f64 1 (-.f64 (fma.f64 (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x)) x (/.f64 x n)) (pow.f64 x (/.f64 1 n))))
(fma.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 x n)) 3) (pow.f64 (*.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 x n)) 2) (*.f64 (*.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x)) (-.f64 (*.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x)) (+.f64 1 (/.f64 x n)))))) (neg.f64 (pow.f64 x (/.f64 1 n))))
(fma.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) (/.f64 (+.f64 (/.f64 1/2 n) -1/2) n)) 3) (pow.f64 (+.f64 1 (/.f64 x n)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 x n)) 2) (*.f64 (/.f64 (+.f64 (/.f64 1/2 n) -1/2) n) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (/.f64 (+.f64 (/.f64 1/2 n) -1/2) n)) (+.f64 1 (/.f64 x n))))))) (neg.f64 (pow.f64 x (/.f64 1 n))))
(-.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n))) 3) (pow.f64 (+.f64 1 (/.f64 x n)) 3)) (fma.f64 (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n) (*.f64 (*.f64 x x) (-.f64 (fma.f64 (*.f64 x x) (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n) -1) (/.f64 x n))) (pow.f64 (+.f64 1 (/.f64 x n)) 2))) (pow.f64 x (/.f64 1 n)))
(-.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x))) 3) (pow.f64 (+.f64 1 (/.f64 x n)) 3)) (fma.f64 (*.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x))) (-.f64 (fma.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x)) -1) (/.f64 x n)) (pow.f64 (+.f64 1 (/.f64 x n)) 2))) (pow.f64 x (/.f64 1 n)))
(fma.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 x n)) 2) (*.f64 (pow.f64 x 4) (pow.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) 2))) (/.f64 1 (+.f64 1 (-.f64 (/.f64 x n) (*.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x))))) (neg.f64 (pow.f64 x (/.f64 1 n))))
(fma.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 x n)) 2) (*.f64 (pow.f64 x 4) (pow.f64 (/.f64 (+.f64 (/.f64 1/2 n) -1/2) n) 2))) (/.f64 1 (-.f64 (+.f64 1 (/.f64 x n)) (*.f64 (*.f64 x x) (/.f64 (+.f64 (/.f64 1/2 n) -1/2) n)))) (neg.f64 (pow.f64 x (/.f64 1 n))))
(-.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 x n)) 2) (*.f64 (pow.f64 x 4) (pow.f64 (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n) 2))) (-.f64 (/.f64 x n) (fma.f64 (*.f64 x x) (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n) -1))) (pow.f64 x (/.f64 1 n)))
(-.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 x n)) 2) (pow.f64 (*.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x))) 2)) (-.f64 (/.f64 x n) (fma.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x)) -1))) (pow.f64 x (/.f64 1 n)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (pow.f64 n -2)))) 1)
(/.f64 1/2 (*.f64 n n))
(*.f64 1/2 (pow.f64 n -2))
(*.f64 1/2 (pow.f64 n -2))
(/.f64 1/2 (*.f64 n n))
(*.f64 (*.f64 1/2 (pow.f64 n -2)) 1)
(/.f64 1/2 (*.f64 n n))
(*.f64 1/2 (pow.f64 n -2))
(*.f64 (/.f64 1/2 n) (/.f64 1 n))
(/.f64 1/2 (*.f64 n n))
(*.f64 1/2 (pow.f64 n -2))
(*.f64 1 (*.f64 1/2 (pow.f64 n -2)))
(/.f64 1/2 (*.f64 n n))
(*.f64 1/2 (pow.f64 n -2))
(*.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 n -2))) (cbrt.f64 (/.f64 1/4 (pow.f64 n 4))))
(*.f64 (cbrt.f64 (/.f64 1/2 (*.f64 n n))) (cbrt.f64 (/.f64 1/4 (pow.f64 n 4))))
(*.f64 (cbrt.f64 (/.f64 1/4 (pow.f64 n 4))) (cbrt.f64 (*.f64 1/2 (pow.f64 n -2))))
(*.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 n -2))) (cbrt.f64 (/.f64 1/4 (pow.f64 n 4))))
(*.f64 (cbrt.f64 (/.f64 1/2 (*.f64 n n))) (cbrt.f64 (/.f64 1/4 (pow.f64 n 4))))
(*.f64 (pow.f64 n -1/2) (/.f64 (/.f64 1/2 n) (sqrt.f64 n)))
(*.f64 (pow.f64 n -1/2) (/.f64 1/2 (*.f64 (sqrt.f64 n) n)))
(*.f64 (pow.f64 n -1/2) (/.f64 1/2 (*.f64 n (sqrt.f64 n))))
(*.f64 (/.f64 1/2 n) (/.f64 (pow.f64 n -1/2) (sqrt.f64 n)))
(*.f64 (/.f64 (sqrt.f64 1/2) n) (/.f64 (sqrt.f64 1/2) n))
(/.f64 1/2 (*.f64 n n))
(*.f64 1/2 (pow.f64 n -2))
(*.f64 -1/2 (/.f64 1 (*.f64 n (neg.f64 n))))
(/.f64 1/2 (*.f64 n n))
(*.f64 1/2 (pow.f64 n -2))
(*.f64 (pow.f64 n -2) 1/2)
(/.f64 1/2 (*.f64 n n))
(*.f64 1/2 (pow.f64 n -2))
(*.f64 (/.f64 (cbrt.f64 (/.f64 1/4 (*.f64 n n))) 1) (/.f64 (cbrt.f64 (/.f64 1/2 n)) n))
(*.f64 (cbrt.f64 (/.f64 1/4 (*.f64 n n))) (/.f64 (cbrt.f64 (/.f64 1/2 n)) n))
(*.f64 (cbrt.f64 (/.f64 (/.f64 1/4 n) n)) (/.f64 (cbrt.f64 (/.f64 1/2 n)) n))
(*.f64 (/.f64 (sqrt.f64 (/.f64 1/2 n)) 1) (/.f64 (sqrt.f64 (/.f64 1/2 n)) n))
(/.f64 1/2 (*.f64 n n))
(*.f64 1/2 (pow.f64 n -2))
(*.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (/.f64 1 n) (cbrt.f64 n)))
(*.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 n) 2)) (/.f64 1 (*.f64 (cbrt.f64 n) n)))
(/.f64 (/.f64 (/.f64 1/2 n) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 n))
(/.f64 (/.f64 1/2 (*.f64 n (cbrt.f64 n))) (pow.f64 (cbrt.f64 n) 2))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (/.f64 1/2 n) (cbrt.f64 n)))
(*.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 n) 2)) (/.f64 1 (*.f64 (cbrt.f64 n) n)))
(/.f64 (/.f64 (/.f64 1/2 n) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 n))
(/.f64 (/.f64 1/2 (*.f64 n (cbrt.f64 n))) (pow.f64 (cbrt.f64 n) 2))
(*.f64 (/.f64 (cbrt.f64 (/.f64 1/4 (*.f64 n n))) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 (*.f64 1/2 (pow.f64 n -2))))
(*.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 n -2))) (/.f64 (cbrt.f64 (/.f64 1/4 (*.f64 n n))) (pow.f64 (cbrt.f64 n) 2)))
(*.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 n -2))) (/.f64 (cbrt.f64 (/.f64 (/.f64 1/4 n) n)) (pow.f64 (cbrt.f64 n) 2)))
(*.f64 (cbrt.f64 (/.f64 1/2 (*.f64 n n))) (/.f64 (cbrt.f64 (/.f64 1/4 (*.f64 n n))) (pow.f64 (cbrt.f64 n) 2)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 1/2 n)) (pow.f64 (cbrt.f64 n) 2)) (/.f64 (sqrt.f64 (/.f64 1/2 n)) (cbrt.f64 n)))
(*.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 n) 2)) (/.f64 1 (*.f64 (cbrt.f64 n) n)))
(/.f64 (/.f64 (/.f64 1/2 n) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 n))
(/.f64 (/.f64 1/2 (*.f64 n (cbrt.f64 n))) (pow.f64 (cbrt.f64 n) 2))
(*.f64 (/.f64 1/2 (sqrt.f64 n)) (/.f64 (/.f64 1 n) (sqrt.f64 n)))
(/.f64 1/2 (*.f64 n n))
(*.f64 1/2 (pow.f64 n -2))
(*.f64 (/.f64 (cbrt.f64 (/.f64 1/4 (*.f64 n n))) (sqrt.f64 n)) (/.f64 (cbrt.f64 (/.f64 1/2 n)) (sqrt.f64 n)))
(*.f64 (cbrt.f64 (/.f64 1/4 (*.f64 n n))) (/.f64 (cbrt.f64 (/.f64 1/2 n)) n))
(*.f64 (cbrt.f64 (/.f64 (/.f64 1/4 n) n)) (/.f64 (cbrt.f64 (/.f64 1/2 n)) n))
(pow.f64 (*.f64 1/2 (pow.f64 n -2)) 1)
(/.f64 1/2 (*.f64 n n))
(*.f64 1/2 (pow.f64 n -2))
(pow.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 n -2))) 3)
(/.f64 1/2 (*.f64 n n))
(*.f64 1/2 (pow.f64 n -2))
(pow.f64 (/.f64 (sqrt.f64 1/2) n) 2)
(/.f64 1/2 (*.f64 n n))
(*.f64 1/2 (pow.f64 n -2))
(pow.f64 (*.f64 1/8 (pow.f64 (pow.f64 n -2) 3)) 1/3)
(cbrt.f64 (*.f64 1/8 (pow.f64 (pow.f64 n -2) 3)))
(pow.f64 (*.f64 (*.f64 n n) 2) -1)
(/.f64 1/2 (*.f64 n n))
(*.f64 1/2 (pow.f64 n -2))
(sqrt.f64 (/.f64 1/4 (pow.f64 n 4)))
(log.f64 (pow.f64 (exp.f64 1/2) (pow.f64 n -2)))
(/.f64 1/2 (*.f64 n n))
(*.f64 1/2 (pow.f64 n -2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (pow.f64 n -2)))))
(/.f64 1/2 (*.f64 n n))
(*.f64 1/2 (pow.f64 n -2))
(cbrt.f64 (*.f64 1/8 (pow.f64 (pow.f64 n -2) 3)))
(expm1.f64 (log1p.f64 (*.f64 1/2 (pow.f64 n -2))))
(/.f64 1/2 (*.f64 n n))
(*.f64 1/2 (pow.f64 n -2))
(log1p.f64 (expm1.f64 (*.f64 1/2 (pow.f64 n -2))))
(/.f64 1/2 (*.f64 n n))
(*.f64 1/2 (pow.f64 n -2))
(exp.f64 (log.f64 (*.f64 1/2 (pow.f64 n -2))))
(/.f64 1/2 (*.f64 n n))
(*.f64 1/2 (pow.f64 n -2))
(exp.f64 (*.f64 (log.f64 (*.f64 1/2 (pow.f64 n -2))) 1))
(/.f64 1/2 (*.f64 n n))
(*.f64 1/2 (pow.f64 n -2))

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(exp.f64 (/.f64 (log1p.f64 x) n))
0.0b
(pow.f64 x (/.f64 1 n))
0.1b
(/.f64 (log1p.f64 x) n)
1.9b
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
Compiler

Compiled 35 to 15 computations (57.1% saved)

series7.0ms (0%)

Counts
3 → 68
Calls

18 calls:

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

rewrite69.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
503×log-prod_binary64
444×prod-diff_binary64
308×pow-prod-down_binary64
274×pow2_binary64
236×pow-pow_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01031
121231
2284031
Stop Event
node limit
Counts
3 → 216
Calls
Call 1
Inputs
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
(/.f64 (log1p.f64 x) n)
(exp.f64 (/.f64 (log1p.f64 x) n))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (neg.f64 (pow.f64 x (/.f64 1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (*.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (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 +.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)))) (cbrt.f64 (pow.f64 (*.f64 x x) (/.f64 1 n))) (pow.f64 x (/.f64 1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (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 +.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (fma.f64 -1 (pow.f64 x (/.f64 1 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simplify142.0ms (0.8%)

Algorithm
egg-herbie
Rules
392×log-prod_binary64
361×fma-def_binary64
297×exp-prod_binary64
283×cube-prod_binary64
245×sqr-pow_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
06428181
117347578
262777558
Stop Event
node limit
Counts
284 → 421
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 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 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))
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1
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(-.f64 (exp.f64 (log1p.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) 1)
(*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 1)
(*.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)))
(*.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (cbrt.f64 (exp.f64 (*.f64 2 (/.f64 (log1p.f64 x) n)))))
(*.f64 (cbrt.f64 (exp.f64 (*.f64 2 (/.f64 (log1p.f64 x) n)))) (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))
(*.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))
(*.f64 (pow.f64 (E.f64) (*.f64 1/2 (/.f64 (log1p.f64 x) n))) (pow.f64 (E.f64) (*.f64 1/2 (/.f64 (log1p.f64 x) n))))
(*.f64 (pow.f64 (E.f64) (*.f64 2 (*.f64 1/3 (/.f64 (log1p.f64 x) n)))) (pow.f64 (E.f64) (*.f64 1/3 (/.f64 (log1p.f64 x) n))))
(/.f64 1 (pow.f64 (E.f64) (/.f64 (log1p.f64 x) (neg.f64 n))))
(/.f64 (pow.f64 (E.f64) (exp.f64 (log1p.f64 (/.f64 (log1p.f64 x) n)))) (E.f64))
(/.f64 (pow.f64 (+.f64 x 1) (exp.f64 (log1p.f64 (/.f64 1 n)))) (+.f64 x 1))
(pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 1)
(pow.f64 (exp.f64 (/.f64 1 n)) (log1p.f64 x))
(pow.f64 (E.f64) (/.f64 (log1p.f64 x) n))
(pow.f64 (exp.f64 (*.f64 2 (/.f64 (log1p.f64 x) n))) 1/2)
(pow.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) 3)
(pow.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) 2)
(pow.f64 (+.f64 x 1) (/.f64 1 n))
(pow.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) 1/3)
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 x))) (*.f64 (sqrt.f64 (log1p.f64 x)) (/.f64 1 n)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (*.f64 (cbrt.f64 (log1p.f64 x)) (/.f64 1 n)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2))) (cbrt.f64 (/.f64 (log1p.f64 x) n)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2))) (*.f64 (cbrt.f64 (/.f64 (log1p.f64 x) n)) 1))
(pow.f64 (exp.f64 (sqrt.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (/.f64 (log1p.f64 x) n)))
(pow.f64 (exp.f64 (sqrt.f64 (/.f64 (log1p.f64 x) n))) (*.f64 (sqrt.f64 (/.f64 (log1p.f64 x) n)) 1))
(pow.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (neg.f64 n)))
(pow.f64 (pow.f64 (E.f64) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (*.f64 (cbrt.f64 (log1p.f64 x)) (/.f64 1 n)))
(pow.f64 (pow.f64 (E.f64) (sqrt.f64 (log1p.f64 x))) (*.f64 (sqrt.f64 (log1p.f64 x)) (/.f64 1 n)))
(pow.f64 (pow.f64 (E.f64) (cbrt.f64 (/.f64 (log1p.f64 x) n))) (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2)))
(pow.f64 (pow.f64 (E.f64) (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2))) (cbrt.f64 (/.f64 (log1p.f64 x) n)))
(pow.f64 (pow.f64 (E.f64) (pow.f64 n -1/2)) (/.f64 (log1p.f64 x) (sqrt.f64 n)))
(pow.f64 (pow.f64 (E.f64) (sqrt.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (/.f64 (log1p.f64 x) n)))
(pow.f64 (pow.f64 (E.f64) (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) 1)) (/.f64 (cbrt.f64 (log1p.f64 x)) n))
(pow.f64 (pow.f64 (E.f64) (/.f64 (sqrt.f64 (log1p.f64 x)) 1)) (/.f64 (sqrt.f64 (log1p.f64 x)) n))
(pow.f64 (pow.f64 (E.f64) (pow.f64 (cbrt.f64 n) -2)) (/.f64 (log1p.f64 x) (cbrt.f64 n)))
(pow.f64 (pow.f64 (E.f64) (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (pow.f64 (cbrt.f64 n) 2))) (cbrt.f64 (/.f64 (log1p.f64 x) n)))
(pow.f64 (pow.f64 (E.f64) (/.f64 (sqrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 n) 2))) (/.f64 (sqrt.f64 (log1p.f64 x)) (cbrt.f64 n)))
(pow.f64 (pow.f64 (E.f64) (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (sqrt.f64 n))) (/.f64 (cbrt.f64 (log1p.f64 x)) (sqrt.f64 n)))
(pow.f64 (pow.f64 (E.f64) (*.f64 (log1p.f64 x) (cbrt.f64 (pow.f64 n -2)))) (cbrt.f64 (/.f64 1 n)))
(pow.f64 (pow.f64 (E.f64) (*.f64 (log1p.f64 x) (pow.f64 n -1/2))) (pow.f64 n -1/2))
(pow.f64 (pow.f64 (+.f64 x 1) (cbrt.f64 (/.f64 1 n))) (cbrt.f64 (pow.f64 n -2)))
(pow.f64 (pow.f64 (+.f64 x 1) (cbrt.f64 (pow.f64 n -2))) (cbrt.f64 (/.f64 1 n)))
(pow.f64 (pow.f64 (+.f64 x 1) (pow.f64 n -1/2)) (pow.f64 n -1/2))
(pow.f64 (pow.f64 (+.f64 x 1) (pow.f64 (cbrt.f64 n) -2)) (cbrt.f64 (/.f64 1 n)))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2))) 1) (cbrt.f64 (/.f64 (log1p.f64 x) n)))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2))) (cbrt.f64 (log1p.f64 x))) (cbrt.f64 (/.f64 1 n)))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2))) (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2)))) (cbrt.f64 (cbrt.f64 (/.f64 (log1p.f64 x) n))))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2))) (cbrt.f64 (sqrt.f64 (/.f64 (log1p.f64 x) n)))) (cbrt.f64 (sqrt.f64 (/.f64 (log1p.f64 x) n))))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log1p.f64 x) n))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (log1p.f64 x) n))))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2))) (sqrt.f64 (cbrt.f64 (/.f64 (log1p.f64 x) n)))) (sqrt.f64 (cbrt.f64 (/.f64 (log1p.f64 x) n))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 (log1p.f64 x) n))) 1) (sqrt.f64 (/.f64 (log1p.f64 x) n)))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 (log1p.f64 x) n))) (cbrt.f64 (/.f64 (log1p.f64 x) n))) (cbrt.f64 (sqrt.f64 (/.f64 (log1p.f64 x) n))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (log1p.f64 x))) (pow.f64 n -1/2))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2)))) (sqrt.f64 (cbrt.f64 (/.f64 (log1p.f64 x) n))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (sqrt.f64 (/.f64 (log1p.f64 x) n)))) (sqrt.f64 (sqrt.f64 (/.f64 (log1p.f64 x) n))))
(sqrt.f64 (exp.f64 (*.f64 2 (/.f64 (log1p.f64 x) n))))
(log.f64 (exp.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))))
(cbrt.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3))
(expm1.f64 (log1p.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))
(log1p.f64 (expm1.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))
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 (+.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 x n) (+.f64 1 (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x)))) (exp.f64 (/.f64 (log.f64 x) n)))
(+.f64 (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 (*.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)))
(+.f64 (fma.f64 (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n)))) (pow.f64 x 3) (/.f64 x n)) (-.f64 (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))) (*.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))))
(+.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 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 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n)))) (/.f64 (pow.f64 x 3) (exp.f64 (/.f64 (log.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 (/.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 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x x)) (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n))) (+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) (+.f64 (*.f64 (/.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 (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n)))) (/.f64 (pow.f64 x 3) (exp.f64 (/.f64 (log.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 (/.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 (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 (*.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))))
(fma.f64 -1 (/.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (+.f64 (/.f64 1/3 n) (/.f64 1/6 (pow.f64 n 3)))) (/.f64 (pow.f64 x 3) (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)))) (+.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 (/.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 (/.f64 (-.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/3 n)) (/.f64 1/6 (pow.f64 n 3))) (pow.f64 x 3)) (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 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 (/.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)))))
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(*.f64 (neg.f64 (log1p.f64 x)) (/.f64 1 (neg.f64 n)))
(/.f64 (log1p.f64 x) n)
(*.f64 3 (*.f64 1/3 (/.f64 (log1p.f64 x) n)))
(/.f64 (log1p.f64 x) n)
(*.f64 2 (*.f64 1/2 (/.f64 (log1p.f64 x) n)))
(/.f64 (log1p.f64 x) n)
(*.f64 1/3 (*.f64 3 (/.f64 (log1p.f64 x) n)))
(/.f64 (log1p.f64 x) n)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) 1) (/.f64 (cbrt.f64 (log1p.f64 x)) n))
(/.f64 (log1p.f64 x) n)
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) 1) (/.f64 (sqrt.f64 (log1p.f64 x)) n))
(/.f64 (log1p.f64 x) n)
(*.f64 (pow.f64 (cbrt.f64 n) -2) (/.f64 (log1p.f64 x) (cbrt.f64 n)))
(/.f64 (pow.f64 (cbrt.f64 n) -2) (/.f64 (cbrt.f64 n) (log1p.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 (/.f64 (log1p.f64 x) n)))
(*.f64 (cbrt.f64 (/.f64 (log1p.f64 x) n)) (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (pow.f64 (cbrt.f64 n) 2)))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 n) 2)) (/.f64 (sqrt.f64 (log1p.f64 x)) (cbrt.f64 n)))
(/.f64 (/.f64 (log1p.f64 x) (cbrt.f64 n)) (pow.f64 (cbrt.f64 n) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (sqrt.f64 n)) (/.f64 (cbrt.f64 (log1p.f64 x)) (sqrt.f64 n)))
(/.f64 (/.f64 (log1p.f64 x) (sqrt.f64 n)) (sqrt.f64 n))
(*.f64 (*.f64 (log1p.f64 x) (cbrt.f64 (pow.f64 n -2))) (cbrt.f64 (/.f64 1 n)))
(*.f64 (log1p.f64 x) (*.f64 (cbrt.f64 (pow.f64 n -2)) (cbrt.f64 (/.f64 1 n))))
(*.f64 (*.f64 (log1p.f64 x) (pow.f64 n -1/2)) (pow.f64 n -1/2))
(/.f64 (log1p.f64 x) n)
(pow.f64 (/.f64 (log1p.f64 x) n) 1)
(/.f64 (log1p.f64 x) n)
(pow.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2) 1/2)
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2))
(fabs.f64 (/.f64 (log1p.f64 x) n))
(pow.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 3) 1/3)
(/.f64 (log1p.f64 x) n)
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) n)) 3)
(/.f64 (log1p.f64 x) n)
(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 x) n)) 2)
(/.f64 (log1p.f64 x) n)
(pow.f64 (/.f64 n (log1p.f64 x)) -1)
(/.f64 (log1p.f64 x) n)
(pow.f64 (/.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 n 3)) 1/3)
(/.f64 (log1p.f64 x) n)
(pow.f64 (/.f64 (/.f64 n (log1p.f64 x)) 1) -1)
(/.f64 (log1p.f64 x) n)
(pow.f64 (*.f64 (pow.f64 n -3) (pow.f64 (log1p.f64 x) 3)) 1/3)
(cbrt.f64 (*.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 n -3)))
(pow.f64 (*.f64 (cbrt.f64 (/.f64 1 n)) (cbrt.f64 (log1p.f64 x))) 3)
(/.f64 (log1p.f64 x) n)
(pow.f64 (*.f64 (pow.f64 n -1/2) (sqrt.f64 (log1p.f64 x))) 2)
(/.f64 (log1p.f64 x) n)
(neg.f64 (/.f64 (log1p.f64 x) (neg.f64 n)))
(/.f64 (log1p.f64 x) n)
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2))
(fabs.f64 (/.f64 (log1p.f64 x) n))
(log.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))
(/.f64 (log1p.f64 x) n)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log1p.f64 x) n))))
(/.f64 (log1p.f64 x) n)
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 3))
(/.f64 (log1p.f64 x) n)
(cbrt.f64 (/.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 n 3)))
(/.f64 (log1p.f64 x) n)
(expm1.f64 (log1p.f64 (/.f64 (log1p.f64 x) n)))
(/.f64 (log1p.f64 x) n)
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)))
(/.f64 (log1p.f64 x) n)
(exp.f64 (log.f64 (/.f64 (log1p.f64 x) n)))
(/.f64 (log1p.f64 x) n)
(exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 x) n)) 1))
(/.f64 (log1p.f64 x) n)
(+.f64 0 (exp.f64 (/.f64 (log1p.f64 x) n)))
(exp.f64 (/.f64 (log1p.f64 x) n))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) 1)
(exp.f64 (/.f64 (log1p.f64 x) n))
(*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 1)
(exp.f64 (/.f64 (log1p.f64 x) n))
(*.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)))
(exp.f64 (/.f64 (log1p.f64 x) n))
(*.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (cbrt.f64 (exp.f64 (*.f64 2 (/.f64 (log1p.f64 x) n)))))
(*.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (cbrt.f64 (pow.f64 (exp.f64 2) (/.f64 (log1p.f64 x) n))))
(*.f64 (cbrt.f64 (exp.f64 (*.f64 2 (/.f64 (log1p.f64 x) n)))) (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))
(*.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (cbrt.f64 (pow.f64 (exp.f64 2) (/.f64 (log1p.f64 x) n))))
(*.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))
(exp.f64 (/.f64 (log1p.f64 x) n))
(*.f64 (pow.f64 (E.f64) (*.f64 1/2 (/.f64 (log1p.f64 x) n))) (pow.f64 (E.f64) (*.f64 1/2 (/.f64 (log1p.f64 x) n))))
(exp.f64 (/.f64 (log1p.f64 x) n))
(*.f64 (pow.f64 (E.f64) (*.f64 2 (*.f64 1/3 (/.f64 (log1p.f64 x) n)))) (pow.f64 (E.f64) (*.f64 1/3 (/.f64 (log1p.f64 x) n))))
(*.f64 (pow.f64 (E.f64) (*.f64 2/3 (/.f64 (log1p.f64 x) n))) (pow.f64 (E.f64) (*.f64 1/3 (/.f64 (log1p.f64 x) n))))
(*.f64 (pow.f64 (E.f64) (*.f64 (/.f64 (log1p.f64 x) n) 2/3)) (pow.f64 (E.f64) (*.f64 1/3 (/.f64 (log1p.f64 x) n))))
(*.f64 (pow.f64 (E.f64) (*.f64 (/.f64 (log1p.f64 x) n) 2/3)) (pow.f64 (+.f64 1 x) (/.f64 1/3 n)))
(/.f64 1 (pow.f64 (E.f64) (/.f64 (log1p.f64 x) (neg.f64 n))))
(/.f64 (pow.f64 (E.f64) (exp.f64 (log1p.f64 (/.f64 (log1p.f64 x) n)))) (E.f64))
(/.f64 (pow.f64 (+.f64 x 1) (exp.f64 (log1p.f64 (/.f64 1 n)))) (+.f64 x 1))
(/.f64 (pow.f64 (+.f64 1 x) (exp.f64 (log1p.f64 (/.f64 1 n)))) (+.f64 1 x))
(pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 1)
(exp.f64 (/.f64 (log1p.f64 x) n))
(pow.f64 (exp.f64 (/.f64 1 n)) (log1p.f64 x))
(exp.f64 (/.f64 (log1p.f64 x) n))
(pow.f64 (E.f64) (/.f64 (log1p.f64 x) n))
(exp.f64 (/.f64 (log1p.f64 x) n))
(pow.f64 (exp.f64 (*.f64 2 (/.f64 (log1p.f64 x) n))) 1/2)
(exp.f64 (/.f64 (log1p.f64 x) n))
(pow.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) 3)
(exp.f64 (/.f64 (log1p.f64 x) n))
(pow.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) 2)
(exp.f64 (/.f64 (log1p.f64 x) n))
(pow.f64 (+.f64 x 1) (/.f64 1 n))
(exp.f64 (/.f64 (log1p.f64 x) n))
(pow.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) 1/3)
(exp.f64 (/.f64 (log1p.f64 x) n))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 x))) (*.f64 (sqrt.f64 (log1p.f64 x)) (/.f64 1 n)))
(exp.f64 (/.f64 (log1p.f64 x) n))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (*.f64 (cbrt.f64 (log1p.f64 x)) (/.f64 1 n)))
(exp.f64 (/.f64 (log1p.f64 x) n))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2))) (cbrt.f64 (/.f64 (log1p.f64 x) n)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2))) (*.f64 (cbrt.f64 (/.f64 (log1p.f64 x) n)) 1))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2))) (cbrt.f64 (/.f64 (log1p.f64 x) n)))
(pow.f64 (exp.f64 (sqrt.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (/.f64 (log1p.f64 x) n)))
(exp.f64 (/.f64 (log1p.f64 x) n))
(pow.f64 (exp.f64 (sqrt.f64 (/.f64 (log1p.f64 x) n))) (*.f64 (sqrt.f64 (/.f64 (log1p.f64 x) n)) 1))
(exp.f64 (/.f64 (log1p.f64 x) n))
(pow.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (neg.f64 n)))
(pow.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (neg.f64 n)))
(pow.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 n))
(pow.f64 (pow.f64 (E.f64) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (*.f64 (cbrt.f64 (log1p.f64 x)) (/.f64 1 n)))
(pow.f64 (pow.f64 (E.f64) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (*.f64 (/.f64 1 n) (cbrt.f64 (log1p.f64 x))))
(pow.f64 (pow.f64 (E.f64) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 (cbrt.f64 (log1p.f64 x)) n))
(pow.f64 (pow.f64 (E.f64) (sqrt.f64 (log1p.f64 x))) (*.f64 (sqrt.f64 (log1p.f64 x)) (/.f64 1 n)))
(exp.f64 (/.f64 (log1p.f64 x) n))
(pow.f64 (pow.f64 (E.f64) (cbrt.f64 (/.f64 (log1p.f64 x) n))) (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2)))
(pow.f64 (exp.f64 (cbrt.f64 (/.f64 (log1p.f64 x) n))) (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2)))
(pow.f64 (pow.f64 (E.f64) (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2))) (cbrt.f64 (/.f64 (log1p.f64 x) n)))
(pow.f64 (pow.f64 (E.f64) (pow.f64 n -1/2)) (/.f64 (log1p.f64 x) (sqrt.f64 n)))
(pow.f64 (pow.f64 (E.f64) (sqrt.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (/.f64 (log1p.f64 x) n)))
(exp.f64 (/.f64 (log1p.f64 x) n))
(pow.f64 (pow.f64 (E.f64) (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) 1)) (/.f64 (cbrt.f64 (log1p.f64 x)) n))
(pow.f64 (pow.f64 (E.f64) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (*.f64 (/.f64 1 n) (cbrt.f64 (log1p.f64 x))))
(pow.f64 (pow.f64 (E.f64) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 (cbrt.f64 (log1p.f64 x)) n))
(pow.f64 (pow.f64 (E.f64) (/.f64 (sqrt.f64 (log1p.f64 x)) 1)) (/.f64 (sqrt.f64 (log1p.f64 x)) n))
(exp.f64 (/.f64 (log1p.f64 x) n))
(pow.f64 (pow.f64 (E.f64) (pow.f64 (cbrt.f64 n) -2)) (/.f64 (log1p.f64 x) (cbrt.f64 n)))
(pow.f64 (pow.f64 (E.f64) (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (pow.f64 (cbrt.f64 n) 2))) (cbrt.f64 (/.f64 (log1p.f64 x) n)))
(pow.f64 (pow.f64 (E.f64) (/.f64 (sqrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 n) 2))) (/.f64 (sqrt.f64 (log1p.f64 x)) (cbrt.f64 n)))
(pow.f64 (pow.f64 (E.f64) (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (sqrt.f64 n))) (/.f64 (cbrt.f64 (log1p.f64 x)) (sqrt.f64 n)))
(pow.f64 (pow.f64 (E.f64) (*.f64 (log1p.f64 x) (cbrt.f64 (pow.f64 n -2)))) (cbrt.f64 (/.f64 1 n)))
(pow.f64 (pow.f64 (E.f64) (*.f64 (log1p.f64 x) (pow.f64 n -1/2))) (pow.f64 n -1/2))
(pow.f64 (pow.f64 (+.f64 x 1) (cbrt.f64 (/.f64 1 n))) (cbrt.f64 (pow.f64 n -2)))
(pow.f64 (pow.f64 (+.f64 1 x) (cbrt.f64 (/.f64 1 n))) (cbrt.f64 (pow.f64 n -2)))
(pow.f64 (pow.f64 (+.f64 x 1) (cbrt.f64 (pow.f64 n -2))) (cbrt.f64 (/.f64 1 n)))
(pow.f64 (pow.f64 (+.f64 1 x) (cbrt.f64 (pow.f64 n -2))) (cbrt.f64 (/.f64 1 n)))
(pow.f64 (pow.f64 (+.f64 x 1) (pow.f64 n -1/2)) (pow.f64 n -1/2))
(pow.f64 (pow.f64 (+.f64 1 x) (pow.f64 n -1/2)) (pow.f64 n -1/2))
(pow.f64 (pow.f64 (+.f64 x 1) (pow.f64 (cbrt.f64 n) -2)) (cbrt.f64 (/.f64 1 n)))
(pow.f64 (pow.f64 (+.f64 1 x) (pow.f64 (cbrt.f64 n) -2)) (cbrt.f64 (/.f64 1 n)))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2))) 1) (cbrt.f64 (/.f64 (log1p.f64 x) n)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2))) (cbrt.f64 (/.f64 (log1p.f64 x) n)))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2))) (cbrt.f64 (log1p.f64 x))) (cbrt.f64 (/.f64 1 n)))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2))) (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2)))) (cbrt.f64 (cbrt.f64 (/.f64 (log1p.f64 x) n))))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2))) (cbrt.f64 (sqrt.f64 (/.f64 (log1p.f64 x) n)))) (cbrt.f64 (sqrt.f64 (/.f64 (log1p.f64 x) n))))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log1p.f64 x) n))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (log1p.f64 x) n))))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2))) (sqrt.f64 (cbrt.f64 (/.f64 (log1p.f64 x) n)))) (sqrt.f64 (cbrt.f64 (/.f64 (log1p.f64 x) n))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 (log1p.f64 x) n))) 1) (sqrt.f64 (/.f64 (log1p.f64 x) n)))
(exp.f64 (/.f64 (log1p.f64 x) n))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 (log1p.f64 x) n))) (cbrt.f64 (/.f64 (log1p.f64 x) n))) (cbrt.f64 (sqrt.f64 (/.f64 (log1p.f64 x) n))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (log1p.f64 x))) (pow.f64 n -1/2))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2)))) (sqrt.f64 (cbrt.f64 (/.f64 (log1p.f64 x) n))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (sqrt.f64 (/.f64 (log1p.f64 x) n)))) (sqrt.f64 (sqrt.f64 (/.f64 (log1p.f64 x) n))))
(sqrt.f64 (exp.f64 (*.f64 2 (/.f64 (log1p.f64 x) n))))
(exp.f64 (/.f64 (log1p.f64 x) n))
(log.f64 (exp.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))
(exp.f64 (/.f64 (log1p.f64 x) n))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))))
(exp.f64 (/.f64 (log1p.f64 x) n))
(cbrt.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3))
(exp.f64 (/.f64 (log1p.f64 x) n))
(expm1.f64 (log1p.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))
(exp.f64 (/.f64 (log1p.f64 x) n))
(log1p.f64 (expm1.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))
(exp.f64 (/.f64 (log1p.f64 x) n))

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(exp.f64 (/.f64 (log1p.f64 x) n))
0.0b
(pow.f64 x (/.f64 1 n))
0.1b
(/.f64 (log1p.f64 x) n)
1.9b
(-.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3)) (pow.f64 x (/.f64 1 n)))
Compiler

Compiled 54 to 24 computations (55.6% saved)

series3.0ms (0%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
(-.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3)) (pow.f64 x (/.f64 1 n)))
0.0ms
x
@inf
(-.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3)) (pow.f64 x (/.f64 1 n)))
0.0ms
n
@-inf
(-.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3)) (pow.f64 x (/.f64 1 n)))
0.0ms
x
@0
(-.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3)) (pow.f64 x (/.f64 1 n)))
0.0ms
n
@inf
(-.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3)) (pow.f64 x (/.f64 1 n)))

rewrite65.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
572×log-prod_binary64
510×prod-diff_binary64
313×pow2_binary64
290×fma-def_binary64
233×pow-unpow_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01317
127817
2328717
Stop Event
node limit
Counts
1 → 109
Calls
Call 1
Inputs
(-.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3)) (pow.f64 x (/.f64 1 n)))
Outputs
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simplify113.0ms (0.6%)

Algorithm
egg-herbie
Rules
598×times-frac_binary64
515×associate-/l*_binary64
313×cancel-sign-sub-inv_binary64
282×distribute-rgt-in_binary64
273×fma-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03775012
110134647
231934325
Stop Event
node limit
Counts
133 → 209
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)))
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(/.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)))
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(log.f64 (*.f64 (exp.f64 (neg.f64 (pow.f64 x (/.f64 1 n)))) (exp.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (pow.f64 x (/.f64 1 n)))) (exp.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (pow.f64 x (/.f64 1 n)))) (+.f64 1 (expm1.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (pow.f64 x (/.f64 1 n)))) (+.f64 1 (expm1.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))))
(cbrt.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) 3))
(expm1.f64 (log1p.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
(log1p.f64 (expm1.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
(exp.f64 (log.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 1))
(fma.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 1 (neg.f64 (pow.f64 x (/.f64 1 n))))
(fma.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 1 (*.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1))
(fma.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)) (neg.f64 (pow.f64 x (/.f64 1 n))))
(fma.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)) (*.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1))
(fma.f64 1 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (fma.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1 (pow.f64 x (/.f64 1 n))))
(fma.f64 1 (-.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)))) (cbrt.f64 (pow.f64 (*.f64 x x) (/.f64 1 n))) (pow.f64 x (/.f64 1 n))))
(fma.f64 1 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 1 n))))
(fma.f64 1 (neg.f64 (pow.f64 x (/.f64 1 n))) (exp.f64 (/.f64 (log1p.f64 x) n)))
(fma.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) 1 (fma.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1 (pow.f64 x (/.f64 1 n))))
(fma.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) 1 (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))))
(fma.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) 1 (+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 1 n))))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 x x) (/.f64 1 n))) (neg.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))) (exp.f64 (/.f64 (log1p.f64 x) n)))
(fma.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (cbrt.f64 (exp.f64 (*.f64 2 (/.f64 (log1p.f64 x) n)))) (neg.f64 (pow.f64 x (/.f64 1 n))))
(fma.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (cbrt.f64 (exp.f64 (*.f64 2 (/.f64 (log1p.f64 x) n)))) (*.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1))
(fma.f64 (cbrt.f64 (exp.f64 (*.f64 2 (/.f64 (log1p.f64 x) n)))) (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (neg.f64 (pow.f64 x (/.f64 1 n))))
(fma.f64 (cbrt.f64 (exp.f64 (*.f64 2 (/.f64 (log1p.f64 x) n)))) (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (*.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1))
(fma.f64 (cbrt.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)))) 2) (fma.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1 (pow.f64 x (/.f64 1 n))))
(fma.f64 (cbrt.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)))) 2) (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))))
(fma.f64 (cbrt.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)))) 2) (+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 1 n))))
(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 (pow.f64 x (/.f64 1 n))) 1 (pow.f64 x (/.f64 1 n))))
(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)))) (cbrt.f64 (pow.f64 (*.f64 x x) (/.f64 1 n))) (pow.f64 x (/.f64 1 n))))
(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)))) (+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 1 n))))
(fma.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (neg.f64 (pow.f64 x (/.f64 1 n))))
(fma.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (*.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1))
(fma.f64 (sqrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) (sqrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) (fma.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1 (pow.f64 x (/.f64 1 n))))
(fma.f64 (sqrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) (sqrt.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)))) (cbrt.f64 (pow.f64 (*.f64 x x) (/.f64 1 n))) (pow.f64 x (/.f64 1 n))))
(fma.f64 (sqrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) (sqrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) (+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 1 n))))
(fma.f64 -1 (pow.f64 x (/.f64 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n)))
(fma.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (*.f64 (/.f64 1 n) 3))) (/.f64 1 (fma.f64 (pow.f64 x (/.f64 1 n)) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (exp.f64 (*.f64 2 (/.f64 (log1p.f64 x) n))))) (fma.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1 (pow.f64 x (/.f64 1 n))))
(fma.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (*.f64 (/.f64 1 n) 3))) (/.f64 1 (fma.f64 (pow.f64 x (/.f64 1 n)) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (exp.f64 (*.f64 2 (/.f64 (log1p.f64 x) 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))))
(fma.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (*.f64 (/.f64 1 n) 3))) (/.f64 1 (fma.f64 (pow.f64 x (/.f64 1 n)) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (exp.f64 (*.f64 2 (/.f64 (log1p.f64 x) n))))) (+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 1 n))))
(fma.f64 (-.f64 (exp.f64 (*.f64 2 (/.f64 (log1p.f64 x) n))) (pow.f64 (*.f64 x x) (/.f64 1 n))) (/.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) (fma.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1 (pow.f64 x (/.f64 1 n))))
(fma.f64 (-.f64 (exp.f64 (*.f64 2 (/.f64 (log1p.f64 x) n))) (pow.f64 (*.f64 x x) (/.f64 1 n))) (/.f64 1 (+.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)))) (cbrt.f64 (pow.f64 (*.f64 x x) (/.f64 1 n))) (pow.f64 x (/.f64 1 n))))
(fma.f64 (-.f64 (exp.f64 (*.f64 2 (/.f64 (log1p.f64 x) n))) (pow.f64 (*.f64 x x) (/.f64 1 n))) (/.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) (+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 1 n))))
(fma.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (neg.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (exp.f64 (/.f64 (log1p.f64 x) n)))
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (pow.f64 x (/.f64 1 n)))) 2) (cbrt.f64 (neg.f64 (pow.f64 x (/.f64 1 n)))) (exp.f64 (/.f64 (log1p.f64 x) n)))
(fma.f64 (sqrt.f64 (neg.f64 (pow.f64 x (/.f64 1 n)))) (sqrt.f64 (neg.f64 (pow.f64 x (/.f64 1 n)))) (exp.f64 (/.f64 (log1p.f64 x) n)))
(fma.f64 (neg.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (sqrt.f64 (pow.f64 x (/.f64 1 n))) (exp.f64 (/.f64 (log1p.f64 x) n)))
(fma.f64 (pow.f64 1 1/3) (exp.f64 (/.f64 (log1p.f64 x) n)) (neg.f64 (pow.f64 x (/.f64 1 n))))
(fma.f64 (pow.f64 1 1/3) (exp.f64 (/.f64 (log1p.f64 x) n)) (*.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1))
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (-.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (fma.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1 (pow.f64 x (/.f64 1 n))))
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (-.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))) (cbrt.f64 (pow.f64 (*.f64 x x) (/.f64 1 n))) (pow.f64 x (/.f64 1 n))))
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (-.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 1 n))))
(fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (*.f64 x x) (/.f64 1 n)))) (cbrt.f64 (pow.f64 x (/.f64 1 n))) (exp.f64 (/.f64 (log1p.f64 x) n)))
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 (+.f64 1 (/.f64 x n)) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) (exp.f64 (/.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 (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 (*.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 1 (/.f64 x n)) (*.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 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 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 (fma.f64 (+.f64 (/.f64 1/3 n) (-.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 1/2 (*.f64 n n)))) (pow.f64 x 3) (/.f64 x n)) (-.f64 (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))) (*.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))))
(+.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 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) (+.f64 (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x x)) (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n))) (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3)) (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n)))))))
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(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n))) (fma.f64 (pow.f64 x (/.f64 1 n)) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (pow.f64 (exp.f64 2) (/.f64 (log1p.f64 x) n))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n))) (fma.f64 (pow.f64 x (/.f64 1 n)) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (exp.f64 (*.f64 (/.f64 2 n) (log1p.f64 x)))))
(fma.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (*.f64 (/.f64 1 n) 3))) (/.f64 1 (fma.f64 (pow.f64 x (/.f64 1 n)) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (exp.f64 (*.f64 2 (/.f64 (log1p.f64 x) 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))))
(fma.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n))) (/.f64 1 (fma.f64 (pow.f64 x (/.f64 1 n)) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (pow.f64 (exp.f64 2) (/.f64 (log1p.f64 x) 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))))
(+.f64 (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))) (/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n))) (fma.f64 (pow.f64 x (/.f64 1 n)) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (pow.f64 (exp.f64 2) (/.f64 (log1p.f64 x) n)))))
(+.f64 (-.f64 (pow.f64 x (/.f64 1 n)) (*.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (cbrt.f64 (pow.f64 (*.f64 x x) (/.f64 1 n))))) (/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n))) (fma.f64 (pow.f64 x (/.f64 1 n)) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (exp.f64 (*.f64 (/.f64 2 n) (log1p.f64 x))))))
(fma.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (*.f64 (/.f64 1 n) 3))) (/.f64 1 (fma.f64 (pow.f64 x (/.f64 1 n)) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (exp.f64 (*.f64 2 (/.f64 (log1p.f64 x) n))))) (+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 1 n))))
(*.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n))) (/.f64 1 (fma.f64 (pow.f64 x (/.f64 1 n)) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (pow.f64 (exp.f64 2) (/.f64 (log1p.f64 x) n)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n))) (fma.f64 (pow.f64 x (/.f64 1 n)) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (pow.f64 (exp.f64 2) (/.f64 (log1p.f64 x) n))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n))) (fma.f64 (pow.f64 x (/.f64 1 n)) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (exp.f64 (*.f64 (/.f64 2 n) (log1p.f64 x)))))
(fma.f64 (-.f64 (exp.f64 (*.f64 2 (/.f64 (log1p.f64 x) n))) (pow.f64 (*.f64 x x) (/.f64 1 n))) (/.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) (fma.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1 (pow.f64 x (/.f64 1 n))))
(*.f64 (-.f64 (pow.f64 (exp.f64 2) (/.f64 (log1p.f64 x) n)) (pow.f64 (*.f64 x x) (/.f64 1 n))) (/.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 2) (/.f64 (log1p.f64 x) n)) (pow.f64 (*.f64 x x) (/.f64 1 n))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
(/.f64 (-.f64 (exp.f64 (*.f64 (/.f64 2 n) (log1p.f64 x))) (pow.f64 (*.f64 x x) (/.f64 1 n))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
(fma.f64 (-.f64 (exp.f64 (*.f64 2 (/.f64 (log1p.f64 x) n))) (pow.f64 (*.f64 x x) (/.f64 1 n))) (/.f64 1 (+.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)))) (cbrt.f64 (pow.f64 (*.f64 x x) (/.f64 1 n))) (pow.f64 x (/.f64 1 n))))
(fma.f64 (-.f64 (pow.f64 (exp.f64 2) (/.f64 (log1p.f64 x) n)) (pow.f64 (*.f64 x x) (/.f64 1 n))) (/.f64 1 (+.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)))) (cbrt.f64 (pow.f64 (*.f64 x x) (/.f64 1 n))) (pow.f64 x (/.f64 1 n))))
(+.f64 (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))) (/.f64 (-.f64 (pow.f64 (exp.f64 2) (/.f64 (log1p.f64 x) n)) (pow.f64 (*.f64 x x) (/.f64 1 n))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
(+.f64 (-.f64 (pow.f64 x (/.f64 1 n)) (*.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (cbrt.f64 (pow.f64 (*.f64 x x) (/.f64 1 n))))) (/.f64 (-.f64 (exp.f64 (*.f64 (/.f64 2 n) (log1p.f64 x))) (pow.f64 (*.f64 x x) (/.f64 1 n))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
(fma.f64 (-.f64 (exp.f64 (*.f64 2 (/.f64 (log1p.f64 x) n))) (pow.f64 (*.f64 x x) (/.f64 1 n))) (/.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) (+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 1 n))))
(*.f64 (-.f64 (pow.f64 (exp.f64 2) (/.f64 (log1p.f64 x) n)) (pow.f64 (*.f64 x x) (/.f64 1 n))) (/.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 2) (/.f64 (log1p.f64 x) n)) (pow.f64 (*.f64 x x) (/.f64 1 n))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
(/.f64 (-.f64 (exp.f64 (*.f64 (/.f64 2 n) (log1p.f64 x))) (pow.f64 (*.f64 x x) (/.f64 1 n))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
(fma.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (neg.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (exp.f64 (/.f64 (log1p.f64 x) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (pow.f64 x (/.f64 1 n)))) 2) (cbrt.f64 (neg.f64 (pow.f64 x (/.f64 1 n)))) (exp.f64 (/.f64 (log1p.f64 x) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
(fma.f64 (sqrt.f64 (neg.f64 (pow.f64 x (/.f64 1 n)))) (sqrt.f64 (neg.f64 (pow.f64 x (/.f64 1 n)))) (exp.f64 (/.f64 (log1p.f64 x) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
(fma.f64 (neg.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (sqrt.f64 (pow.f64 x (/.f64 1 n))) (exp.f64 (/.f64 (log1p.f64 x) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
(fma.f64 (pow.f64 1 1/3) (exp.f64 (/.f64 (log1p.f64 x) n)) (neg.f64 (pow.f64 x (/.f64 1 n))))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
(fma.f64 (pow.f64 1 1/3) (exp.f64 (/.f64 (log1p.f64 x) n)) (*.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (-.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (fma.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1 (pow.f64 x (/.f64 1 n))))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (-.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))) (cbrt.f64 (pow.f64 (*.f64 x x) (/.f64 1 n))) (pow.f64 x (/.f64 1 n))))
(+.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)))) (cbrt.f64 (pow.f64 (*.f64 x x) (/.f64 1 n))) (pow.f64 x (/.f64 1 n))))
(+.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (-.f64 (pow.f64 x (/.f64 1 n)) (*.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (cbrt.f64 (pow.f64 (*.f64 x x) (/.f64 1 n))))))
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (-.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 1 n))))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
(fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (*.f64 x x) (/.f64 1 n)))) (cbrt.f64 (pow.f64 x (/.f64 1 n))) (exp.f64 (/.f64 (log1p.f64 x) n)))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 x x) (/.f64 1 n))) (neg.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))) (exp.f64 (/.f64 (log1p.f64 x) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (*.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (cbrt.f64 (pow.f64 (*.f64 x x) (/.f64 1 n)))))

eval860.0ms (4.7%)

Compiler

Compiled 45264 to 25648 computations (43.3% saved)

prune540.0ms (3%)

Pruning

35 alts after pruning (35 fresh and 0 done)

PrunedKeptTotal
New1510321542
Fresh437
Picked101
Done404
Total1519351554
Error
0.1b
Counts
1554 → 35
Alt Table
Click to see full alt table
StatusErrorProgram
30.8b
(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))))
61.9b
(fma.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (*.f64 x x) (/.f64 x n))
17.5b
(pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1)
55.5b
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))) (pow.f64 x (/.f64 1 n)))) 3)
17.9b
(/.f64 (pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3) 1/3) n)
17.6b
(/.f64 (/.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))))) n)
40.0b
(/.f64 (/.f64 1 x) n)
40.0b
(/.f64 (/.f64 1 n) x)
52.2b
(/.f64 (-.f64 (pow.f64 (exp.f64 2) (/.f64 (log1p.f64 x) n)) (pow.f64 (*.f64 x x) (/.f64 1 n))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
41.0b
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n)
42.1b
(/.f64 (-.f64 x (log.f64 x)) n)
40.7b
(/.f64 (+.f64 (/.f64 1 x) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 1/2 (*.f64 x x)))) n)
42.0b
(/.f64 (neg.f64 (log.f64 x)) n)
17.5b
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
17.8b
(/.f64 (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n)
26.8b
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
17.6b
(/.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3)) n)
61.1b
(/.f64 x n)
40.2b
(/.f64 1 (*.f64 x n))
30.8b
(-.f64 (pow.f64 (pow.f64 (E.f64) (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2))) (cbrt.f64 (/.f64 (log1p.f64 x) n))) (pow.f64 x (/.f64 1 n)))
41.0b
(-.f64 (/.f64 (/.f64 1 x) n) (/.f64 (/.f64 (/.f64 1/2 x) x) n))
42.1b
(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n))
50.4b
(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))
56.5b
(-.f64 (+.f64 (/.f64 x n) 1) 1)
50.6b
(-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (*.f64 1/2 (/.f64 (/.f64 x (/.f64 n x)) n))) (pow.f64 x (/.f64 1 n)))
36.8b
(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))
30.8b
(-.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (E.f64) (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2))) (cbrt.f64 (/.f64 (log1p.f64 x) n))) 3)) (pow.f64 x (/.f64 1 n)))
30.8b
(-.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3)) 3)) (pow.f64 x (/.f64 1 n)))
44.3b
(-.f64 1 (pow.f64 x (/.f64 1 n)))
40.7b
(+.f64 (/.f64 (/.f64 1 n) x) (-.f64 (/.f64 1/3 (*.f64 (pow.f64 x 3) n)) (/.f64 1/2 (*.f64 x (*.f64 x n)))))
61.9b
(+.f64 (/.f64 x n) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x)))
17.8b
(*.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)))
17.5b
(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x)))
60.1b
(expm1.f64 (/.f64 (log1p.f64 x) n))
51.2b
(cbrt.f64 (pow.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)) 3))
Compiler

Compiled 1090 to 742 computations (31.9% saved)

localize12.0ms (0.1%)

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)
3.1b
(log.f64 (/.f64 (+.f64 x 1) x))
Compiler

Compiled 27 to 17 computations (37% saved)

series22.0ms (0.1%)

Counts
3 → 48
Calls

12 calls:

TimeVariablePointExpression
14.0ms
n
@0
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
4.0ms
n
@inf
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
0.0ms
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
@-inf
(/.f64 (+.f64 x 1) x)

rewrite51.0ms (0.3%)

Algorithm
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
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)))))))

simplify56.0ms (0.3%)

Algorithm
egg-herbie
Rules
779×times-frac_binary64
736×fma-def_binary64
596×unswap-sqr_binary64
277×log-prod_binary64
163×div-sub_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02681699
16531629
226471489
Stop Event
node limit
Counts
141 → 173
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))
(+.f64 0 (-.f64 (log1p.f64 x) (log.f64 x)))
(+.f64 (log1p.f64 x) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x))) (log.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x))))
(-.f64 0 (-.f64 (log.f64 x) (log1p.f64 x)))
(-.f64 (log1p.f64 x) (log.f64 x))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) 1)
(-.f64 (log.f64 (+.f64 (neg.f64 x) -1)) (log.f64 (neg.f64 x)))
(*.f64 1 (-.f64 (log1p.f64 x) (log.f64 x)))
(*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 1)
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 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)))))
(/.f64 (-.f64 (*.f64 (log1p.f64 x) (log1p.f64 x)) (*.f64 (log.f64 x) (log.f64 x))) (+.f64 (log1p.f64 x) (log.f64 x)))
(pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 1)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 3)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2)
(neg.f64 (-.f64 (log.f64 x) (log1p.f64 x)))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x))))
(log1p.f64 (-.f64 (/.f64 (+.f64 x 1) x) 1))
(exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) 1)
(-.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n))
(*.f64 1 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
(*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (/.f64 1 n))
(*.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 1)
(*.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))
(*.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)))
(*.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)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 1 n)))
(*.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 1 (neg.f64 n)))
(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 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))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 1) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 n)))
(*.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 (/.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)))
(*.f64 (/.f64 1 (sqrt.f64 n)) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n)))
(*.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)))
(pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 1)
(pow.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2)
(pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1)
(neg.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (neg.f64 n)))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 2))
(log.f64 (pow.f64 (/.f64 (+.f64 x 1) x) (/.f64 1 n)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3) (pow.f64 n 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))
(exp.f64 (log.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x 1) x))) 1)
(*.f64 1 (/.f64 (+.f64 x 1) x))
(*.f64 (+.f64 x 1) (/.f64 1 x))
(*.f64 (/.f64 (+.f64 x 1) x) 1)
(*.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) 2) (cbrt.f64 (/.f64 (+.f64 x 1) x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 (+.f64 x 1)) (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x)) (sqrt.f64 (/.f64 (+.f64 x 1) x)))
(*.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 1 x)))
(*.f64 (+.f64 (neg.f64 x) -1) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 x) (+.f64 x 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x 1)) x))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) 1) (/.f64 (sqrt.f64 (+.f64 x 1)) x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 x 1) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 x 1) x)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (+.f64 x 1)) (cbrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 x 1) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(pow.f64 (/.f64 (+.f64 x 1) x) 1)
(pow.f64 (E.f64) (-.f64 (log1p.f64 x) (log.f64 x)))
(pow.f64 (pow.f64 (/.f64 (+.f64 x 1) x) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) 3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x)) 2)
(pow.f64 (/.f64 x (+.f64 x 1)) -1)
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 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))))
(neg.f64 (/.f64 (+.f64 x 1) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x 1) x) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 x 1) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x 1) x))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) x) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x 1) x)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x 1) x)))
(exp.f64 (-.f64 (log1p.f64 x) (log.f64 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))
(fma.f64 x (*.f64 x -1/2) (-.f64 x (log.f64 x)))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 x (*.f64 -1 (log.f64 x)))))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (+.f64 x (neg.f64 (log.f64 x)))))
(fma.f64 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))
(/.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 (/.f64 1/2 x) x))
(+.f64 (/.f64 1 x) (/.f64 -1/2 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1/3 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 (/.f64 1/2 x) x)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 -1/2 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (/.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 x) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 1/2 x) x) (/.f64 1/4 (pow.f64 x 4)))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (-.f64 (/.f64 -1/2 (*.f64 x x)) (/.f64 1/4 (pow.f64 x 4)))))
(/.f64 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 (/.f64 1/2 x) x))
(+.f64 (/.f64 1 x) (/.f64 -1/2 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1/3 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 (/.f64 1/2 x) x)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 -1/2 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (/.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 x) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 1/2 x) x) (/.f64 1/4 (pow.f64 x 4)))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (-.f64 (/.f64 -1/2 (*.f64 x x)) (/.f64 1/4 (pow.f64 x 4)))))
(*.f64 -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 -1/2 (/.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 x n) (-.f64 (*.f64 -1/2 (/.f64 x (/.f64 n x))) (/.f64 (log.f64 x) n)))
(fma.f64 -1/2 (/.f64 x (/.f64 n x)) (-.f64 (/.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 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 (/.f64 (/.f64 1/2 x) x) n))
(-.f64 (/.f64 (/.f64 1 x) n) (/.f64 (/.f64 (/.f64 1/2 x) 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 (/.f64 (/.f64 1/2 x) x) n)))
(+.f64 (/.f64 (/.f64 1 x) n) (-.f64 (/.f64 1/3 (*.f64 (pow.f64 x 3) n)) (/.f64 (/.f64 (/.f64 1/2 x) x) n)))
(-.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 (/.f64 1 (*.f64 x n)) (/.f64 1/3 (*.f64 (pow.f64 x 3) n))) (/.f64 1/4 (*.f64 (pow.f64 x 4) 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 (/.f64 (/.f64 (/.f64 1/2 x) x) n) (/.f64 1/4 (*.f64 (pow.f64 x 4) n)))))
(-.f64 (+.f64 (/.f64 (/.f64 1 x) n) (-.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 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 (/.f64 (/.f64 1/2 x) x) n))
(-.f64 (/.f64 (/.f64 1 x) n) (/.f64 (/.f64 (/.f64 1/2 x) 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 (/.f64 (/.f64 1/2 x) x) n)))
(+.f64 (/.f64 (/.f64 1 x) n) (-.f64 (/.f64 1/3 (*.f64 (pow.f64 x 3) n)) (/.f64 (/.f64 (/.f64 1/2 x) x) n)))
(-.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 (/.f64 1 (*.f64 x n)) (/.f64 1/3 (*.f64 (pow.f64 x 3) n))) (/.f64 1/4 (*.f64 (pow.f64 x 4) 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 (/.f64 (/.f64 (/.f64 1/2 x) x) n) (/.f64 1/4 (*.f64 (pow.f64 x 4) n)))))
(-.f64 (+.f64 (/.f64 (/.f64 1 x) n) (-.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 (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 (log1p.f64 (/.f64 1 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 (log1p.f64 (/.f64 1 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 (log1p.f64 (/.f64 1 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 (log1p.f64 (/.f64 1 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 (log1p.f64 (/.f64 1 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 (log1p.f64 (/.f64 1 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 (log1p.f64 (/.f64 1 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 (log1p.f64 (/.f64 1 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 (log1p.f64 (/.f64 1 x)) n)
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(/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (+.f64 1 (/.f64 1 x)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (+.f64 x 1)) (cbrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 x 1) (cbrt.f64 x)))
(/.f64 (/.f64 (+.f64 x 1) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 x 1) (sqrt.f64 x)))
(+.f64 1 (/.f64 1 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(+.f64 1 (/.f64 1 x))
(pow.f64 (/.f64 (+.f64 x 1) x) 1)
(+.f64 1 (/.f64 1 x))
(pow.f64 (E.f64) (-.f64 (log1p.f64 x) (log.f64 x)))
(+.f64 1 (/.f64 1 x))
(pow.f64 (pow.f64 (/.f64 (+.f64 x 1) x) 3) 1/3)
(+.f64 1 (/.f64 1 x))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) 3)
(+.f64 1 (/.f64 1 x))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x)) 2)
(+.f64 1 (/.f64 1 x))
(pow.f64 (/.f64 x (+.f64 x 1)) -1)
(+.f64 1 (/.f64 1 x))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))))
(+.f64 1 (/.f64 1 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))))
(+.f64 1 (/.f64 1 x))
(neg.f64 (/.f64 (+.f64 x 1) (neg.f64 x)))
(+.f64 1 (/.f64 1 x))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x 1) x) 2))
(+.f64 1 (/.f64 1 x))
(log.f64 (exp.f64 (/.f64 (+.f64 x 1) x)))
(+.f64 1 (/.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x 1) x))))
(+.f64 1 (/.f64 1 x))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) x) 3))
(+.f64 1 (/.f64 1 x))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 x 3)))
(+.f64 1 (/.f64 1 x))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x 1) x)))
(+.f64 1 (/.f64 1 x))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x 1) x)))
(+.f64 1 (/.f64 1 x))
(exp.f64 (-.f64 (log1p.f64 x) (log.f64 x)))
(+.f64 1 (/.f64 1 x))

localize3.0ms (0%)

Compiler

Compiled 7 to 3 computations (57.1% saved)

localize42.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.3b
(/.f64 (neg.f64 (log.f64 x)) n)
Compiler

Compiled 14 to 5 computations (64.3% saved)

series4.0ms (0%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(/.f64 (neg.f64 (log.f64 x)) n)
1.0ms
x
@0
(/.f64 (neg.f64 (log.f64 x)) n)
1.0ms
x
@inf
(/.f64 (neg.f64 (log.f64 x)) n)
1.0ms
n
@inf
(/.f64 (neg.f64 (log.f64 x)) n)
1.0ms
n
@0
(/.f64 (neg.f64 (log.f64 x)) n)

rewrite38.0ms (0.2%)

Algorithm
batch-egg-rewrite
Rules
549×pow1_binary64
507×add-log-exp_binary64
506×log1p-expm1-u_binary64
506×expm1-log1p-u_binary64
496×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
068
11286
217876
Stop Event
node limit
Counts
1 → 35
Calls
Call 1
Inputs
(/.f64 (neg.f64 (log.f64 x)) n)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (log.f64 x) 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 (/.f64 0 n) (/.f64 (log.f64 x) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 x) (pow.f64 n -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 x) (/.f64 1 (neg.f64 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 (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 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) (pow.f64 n -1)))))) (#(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 (sqrt.f64 (log.f64 x)) (*.f64 (sqrt.f64 (log.f64 x)) (pow.f64 n -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 n -1) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (log.f64 x) n))))) (#(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 (pow.f64 (cbrt.f64 n) 2)) (/.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 *.f64 (/.f64 -1 (sqrt.f64 n)) (/.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) 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 (pow.f64 n -1)))))) (#(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)))))))

simplify44.0ms (0.2%)

Algorithm
egg-herbie
Rules
552×log-prod_binary64
491×fma-def_binary64
484×associate-*l*_binary64
436×associate-*r*_binary64
231×unswap-sqr_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
094598
1223517
2705436
34618436
Stop Event
node limit
Counts
59 → 43
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 (log.f64 x) n))
(*.f64 -1 (/.f64 (log.f64 x) n))
(*.f64 -1 (/.f64 (log.f64 x) n))
(*.f64 -1 (/.f64 (log.f64 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 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))
(*.f64 -1 (/.f64 (log.f64 x) n))
(*.f64 -1 (/.f64 (log.f64 x) n))
(*.f64 -1 (/.f64 (log.f64 x) n))
(*.f64 -1 (/.f64 (log.f64 x) n))
(*.f64 -1 (/.f64 (log.f64 x) n))
(*.f64 -1 (/.f64 (log.f64 x) n))
(*.f64 -1 (/.f64 (log.f64 x) n))
(*.f64 -1 (/.f64 (log.f64 x) n))
(*.f64 -1 (/.f64 (log.f64 x) n))
(*.f64 -1 (/.f64 (log.f64 x) n))
(*.f64 -1 (/.f64 (log.f64 x) n))
(*.f64 -1 (/.f64 (log.f64 x) n))
(-.f64 0 (/.f64 (log.f64 x) n))
(-.f64 (+.f64 1 (/.f64 (log.f64 x) n)) 1)
(-.f64 (/.f64 0 n) (/.f64 (log.f64 x) n))
(*.f64 (log.f64 x) (pow.f64 n -1))
(*.f64 (log.f64 x) (/.f64 1 (neg.f64 n)))
(*.f64 (/.f64 (log.f64 x) n) 1)
(*.f64 1 (/.f64 (log.f64 x) n))
(*.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) (pow.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) 2) (cbrt.f64 (/.f64 (log.f64 x) n)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) (pow.f64 n -1)))
(*.f64 (sqrt.f64 (/.f64 (log.f64 x) n)) (sqrt.f64 (/.f64 (log.f64 x) n)))
(*.f64 (sqrt.f64 (log.f64 x)) (*.f64 (sqrt.f64 (log.f64 x)) (pow.f64 n -1)))
(*.f64 (pow.f64 n -1) (log.f64 x))
(*.f64 -1 (/.f64 (log.f64 x) n))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) 1) (/.f64 (cbrt.f64 (log.f64 x)) n))
(*.f64 (/.f64 (sqrt.f64 (log.f64 x)) 1) (/.f64 (sqrt.f64 (log.f64 x)) n))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (log.f64 x) (cbrt.f64 n)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 (/.f64 (log.f64 x) n)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 n) 2)) (/.f64 (sqrt.f64 (log.f64 x)) (cbrt.f64 n)))
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (log.f64 x) (cbrt.f64 n)))
(*.f64 (/.f64 1 (sqrt.f64 n)) (/.f64 (log.f64 x) (sqrt.f64 n)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (sqrt.f64 n)) (/.f64 (cbrt.f64 (log.f64 x)) (sqrt.f64 n)))
(*.f64 (/.f64 -1 (sqrt.f64 n)) (/.f64 (log.f64 x) (sqrt.f64 n)))
(pow.f64 (/.f64 (log.f64 x) n) 1)
(pow.f64 (pow.f64 (/.f64 (log.f64 x) n) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) 3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 x) n)) 2)
(pow.f64 (/.f64 n (log.f64 x)) -1)
(neg.f64 (/.f64 (log.f64 x) n))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 x) n) 2))
(log.f64 (pow.f64 x (pow.f64 n -1)))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 x) n) 3))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 x) n)))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 x) n)))
(exp.f64 (log.f64 (/.f64 (log.f64 x) n)))
Outputs
(*.f64 -1 (/.f64 (log.f64 x) n))
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (log.f64 x) (neg.f64 n))
(*.f64 -1 (/.f64 (log.f64 x) n))
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (log.f64 x) (neg.f64 n))
(*.f64 -1 (/.f64 (log.f64 x) n))
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (log.f64 x) (neg.f64 n))
(*.f64 -1 (/.f64 (log.f64 x) n))
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (log.f64 x) (neg.f64 n))
(/.f64 (log.f64 (/.f64 1 x)) n)
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (log.f64 x) (neg.f64 n))
(/.f64 (log.f64 (/.f64 1 x)) n)
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (log.f64 x) (neg.f64 n))
(/.f64 (log.f64 (/.f64 1 x)) n)
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (log.f64 x) (neg.f64 n))
(/.f64 (log.f64 (/.f64 1 x)) n)
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (log.f64 x) (neg.f64 n))
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (log.f64 x) (neg.f64 n))
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (log.f64 x) (neg.f64 n))
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (log.f64 x) (neg.f64 n))
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (log.f64 x) (neg.f64 n))
(*.f64 -1 (/.f64 (log.f64 x) n))
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (log.f64 x) (neg.f64 n))
(*.f64 -1 (/.f64 (log.f64 x) n))
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (log.f64 x) (neg.f64 n))
(*.f64 -1 (/.f64 (log.f64 x) n))
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (log.f64 x) (neg.f64 n))
(*.f64 -1 (/.f64 (log.f64 x) n))
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (log.f64 x) (neg.f64 n))
(*.f64 -1 (/.f64 (log.f64 x) n))
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (log.f64 x) (neg.f64 n))
(*.f64 -1 (/.f64 (log.f64 x) n))
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (log.f64 x) (neg.f64 n))
(*.f64 -1 (/.f64 (log.f64 x) n))
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (log.f64 x) (neg.f64 n))
(*.f64 -1 (/.f64 (log.f64 x) n))
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (log.f64 x) (neg.f64 n))
(*.f64 -1 (/.f64 (log.f64 x) n))
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (log.f64 x) (neg.f64 n))
(*.f64 -1 (/.f64 (log.f64 x) n))
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (log.f64 x) (neg.f64 n))
(*.f64 -1 (/.f64 (log.f64 x) n))
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (log.f64 x) (neg.f64 n))
(*.f64 -1 (/.f64 (log.f64 x) n))
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (log.f64 x) (neg.f64 n))
(-.f64 0 (/.f64 (log.f64 x) n))
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (log.f64 x) (neg.f64 n))
(-.f64 (+.f64 1 (/.f64 (log.f64 x) n)) 1)
(+.f64 1 (-.f64 (/.f64 (log.f64 x) n) 1))
(+.f64 (/.f64 (log.f64 x) n) 0)
(/.f64 (log.f64 x) n)
(-.f64 (/.f64 0 n) (/.f64 (log.f64 x) n))
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (log.f64 x) (neg.f64 n))
(*.f64 (log.f64 x) (pow.f64 n -1))
(+.f64 1 (-.f64 (/.f64 (log.f64 x) n) 1))
(+.f64 (/.f64 (log.f64 x) n) 0)
(/.f64 (log.f64 x) n)
(*.f64 (log.f64 x) (/.f64 1 (neg.f64 n)))
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (log.f64 x) (neg.f64 n))
(*.f64 (/.f64 (log.f64 x) n) 1)
(+.f64 1 (-.f64 (/.f64 (log.f64 x) n) 1))
(+.f64 (/.f64 (log.f64 x) n) 0)
(/.f64 (log.f64 x) n)
(*.f64 1 (/.f64 (log.f64 x) n))
(+.f64 1 (-.f64 (/.f64 (log.f64 x) n) 1))
(+.f64 (/.f64 (log.f64 x) n) 0)
(/.f64 (log.f64 x) n)
(*.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) (pow.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) 2))
(+.f64 1 (-.f64 (/.f64 (log.f64 x) n) 1))
(+.f64 (/.f64 (log.f64 x) n) 0)
(/.f64 (log.f64 x) n)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) 2) (cbrt.f64 (/.f64 (log.f64 x) n)))
(+.f64 1 (-.f64 (/.f64 (log.f64 x) n) 1))
(+.f64 (/.f64 (log.f64 x) n) 0)
(/.f64 (log.f64 x) n)
(*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) (pow.f64 n -1)))
(+.f64 1 (-.f64 (/.f64 (log.f64 x) n) 1))
(+.f64 (/.f64 (log.f64 x) n) 0)
(/.f64 (log.f64 x) n)
(*.f64 (sqrt.f64 (/.f64 (log.f64 x) n)) (sqrt.f64 (/.f64 (log.f64 x) n)))
(+.f64 1 (-.f64 (/.f64 (log.f64 x) n) 1))
(+.f64 (/.f64 (log.f64 x) n) 0)
(/.f64 (log.f64 x) n)
(*.f64 (sqrt.f64 (log.f64 x)) (*.f64 (sqrt.f64 (log.f64 x)) (pow.f64 n -1)))
(+.f64 1 (-.f64 (/.f64 (log.f64 x) n) 1))
(+.f64 (/.f64 (log.f64 x) n) 0)
(/.f64 (log.f64 x) n)
(*.f64 (pow.f64 n -1) (log.f64 x))
(+.f64 1 (-.f64 (/.f64 (log.f64 x) n) 1))
(+.f64 (/.f64 (log.f64 x) n) 0)
(/.f64 (log.f64 x) n)
(*.f64 -1 (/.f64 (log.f64 x) n))
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (log.f64 x) (neg.f64 n))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) 1) (/.f64 (cbrt.f64 (log.f64 x)) n))
(+.f64 1 (-.f64 (/.f64 (log.f64 x) n) 1))
(+.f64 (/.f64 (log.f64 x) n) 0)
(/.f64 (log.f64 x) n)
(*.f64 (/.f64 (sqrt.f64 (log.f64 x)) 1) (/.f64 (sqrt.f64 (log.f64 x)) n))
(+.f64 1 (-.f64 (/.f64 (log.f64 x) n) 1))
(+.f64 (/.f64 (log.f64 x) n) 0)
(/.f64 (log.f64 x) n)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (log.f64 x) (cbrt.f64 n)))
(+.f64 1 (-.f64 (/.f64 (log.f64 x) n) 1))
(+.f64 (/.f64 (log.f64 x) n) 0)
(/.f64 (log.f64 x) n)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 (/.f64 (log.f64 x) n)))
(*.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (pow.f64 (cbrt.f64 n) 2)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 n) 2)) (/.f64 (sqrt.f64 (log.f64 x)) (cbrt.f64 n)))
(+.f64 1 (-.f64 (/.f64 (log.f64 x) n) 1))
(+.f64 (/.f64 (log.f64 x) n) 0)
(/.f64 (log.f64 x) n)
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (log.f64 x) (cbrt.f64 n)))
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (log.f64 x) (neg.f64 n))
(*.f64 (/.f64 1 (sqrt.f64 n)) (/.f64 (log.f64 x) (sqrt.f64 n)))
(+.f64 1 (-.f64 (/.f64 (log.f64 x) n) 1))
(+.f64 (/.f64 (log.f64 x) n) 0)
(/.f64 (log.f64 x) n)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (sqrt.f64 n)) (/.f64 (cbrt.f64 (log.f64 x)) (sqrt.f64 n)))
(+.f64 1 (-.f64 (/.f64 (log.f64 x) n) 1))
(+.f64 (/.f64 (log.f64 x) n) 0)
(/.f64 (log.f64 x) n)
(*.f64 (/.f64 -1 (sqrt.f64 n)) (/.f64 (log.f64 x) (sqrt.f64 n)))
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (log.f64 x) (neg.f64 n))
(pow.f64 (/.f64 (log.f64 x) n) 1)
(+.f64 1 (-.f64 (/.f64 (log.f64 x) n) 1))
(+.f64 (/.f64 (log.f64 x) n) 0)
(/.f64 (log.f64 x) n)
(pow.f64 (pow.f64 (/.f64 (log.f64 x) n) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 (log.f64 x) n) 1))
(+.f64 (/.f64 (log.f64 x) n) 0)
(/.f64 (log.f64 x) n)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) 3)
(+.f64 1 (-.f64 (/.f64 (log.f64 x) n) 1))
(+.f64 (/.f64 (log.f64 x) n) 0)
(/.f64 (log.f64 x) n)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 x) n)) 2)
(+.f64 1 (-.f64 (/.f64 (log.f64 x) n) 1))
(+.f64 (/.f64 (log.f64 x) n) 0)
(/.f64 (log.f64 x) n)
(pow.f64 (/.f64 n (log.f64 x)) -1)
(+.f64 1 (-.f64 (/.f64 (log.f64 x) n) 1))
(+.f64 (/.f64 (log.f64 x) n) 0)
(/.f64 (log.f64 x) n)
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (log.f64 x) (neg.f64 n))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 x) n) 2))
(+.f64 1 (-.f64 (/.f64 (log.f64 x) n) 1))
(+.f64 (/.f64 (log.f64 x) n) 0)
(/.f64 (log.f64 x) n)
(log.f64 (pow.f64 x (pow.f64 n -1)))
(+.f64 1 (-.f64 (/.f64 (log.f64 x) n) 1))
(+.f64 (/.f64 (log.f64 x) n) 0)
(/.f64 (log.f64 x) n)
(cbrt.f64 (pow.f64 (/.f64 (log.f64 x) n) 3))
(+.f64 1 (-.f64 (/.f64 (log.f64 x) n) 1))
(+.f64 (/.f64 (log.f64 x) n) 0)
(/.f64 (log.f64 x) n)
(expm1.f64 (log1p.f64 (/.f64 (log.f64 x) n)))
(+.f64 1 (-.f64 (/.f64 (log.f64 x) n) 1))
(+.f64 (/.f64 (log.f64 x) n) 0)
(/.f64 (log.f64 x) n)
(log1p.f64 (expm1.f64 (/.f64 (log.f64 x) n)))
(+.f64 1 (-.f64 (/.f64 (log.f64 x) n) 1))
(+.f64 (/.f64 (log.f64 x) n) 0)
(/.f64 (log.f64 x) n)
(exp.f64 (log.f64 (/.f64 (log.f64 x) n)))
(+.f64 1 (-.f64 (/.f64 (log.f64 x) n) 1))
(+.f64 (/.f64 (log.f64 x) n) 0)
(/.f64 (log.f64 x) n)

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(/.f64 x (/.f64 n x))
3.6b
(-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (*.f64 1/2 (/.f64 (/.f64 x (/.f64 n x)) n))) (pow.f64 x (/.f64 1 n)))
4.6b
(+.f64 (+.f64 1 (/.f64 x n)) (*.f64 1/2 (/.f64 (/.f64 x (/.f64 n x)) n)))
5.0b
(/.f64 (/.f64 x (/.f64 n x)) n)
Compiler

Compiled 82 to 31 computations (62.2% saved)

series15.0ms (0.1%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
1.0ms
n
@0
(/.f64 x (/.f64 n x))
1.0ms
x
@0
(/.f64 (/.f64 x (/.f64 n x)) n)
1.0ms
x
@inf
(/.f64 (/.f64 x (/.f64 n x)) n)
1.0ms
n
@0
(/.f64 (/.f64 x (/.f64 n x)) n)
0.0ms
n
@-inf
(-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (*.f64 1/2 (/.f64 (/.f64 x (/.f64 n x)) n))) (pow.f64 x (/.f64 1 n)))

rewrite100.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
515×fma-neg_binary64
374×log-div_binary64
307×expm1-udef_binary64
306×log1p-udef_binary64
263×log-pow_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01570
135757
2562857
Stop Event
node limit
Counts
4 → 220
Calls
Call 1
Inputs
(/.f64 (/.f64 x (/.f64 n x)) n)
(+.f64 (+.f64 1 (/.f64 x n)) (*.f64 1/2 (/.f64 (/.f64 x (/.f64 n x)) n)))
(-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (*.f64 1/2 (/.f64 (/.f64 x (/.f64 n x)) n))) (pow.f64 x (/.f64 1 n)))
(/.f64 x (/.f64 n x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 x n) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (/.f64 (*.f64 n n) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (pow.f64 n -1) (/.f64 x n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (/.f64 x n) (pow.f64 n -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 x n)) (pow.f64 n -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 x n) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (/.f64 x n) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x n) (/.f64 x n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 n -1) (*.f64 x (/.f64 x n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (pow.f64 n -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x n)) 2) 2) (pow.f64 (cbrt.f64 (/.f64 x n)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x n)) 2) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x n)) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x n)) 2) (*.f64 (cbrt.f64 (/.f64 x n)) (/.f64 x n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 x (/.f64 x n)) 2)) (*.f64 (cbrt.f64 (*.f64 x (/.f64 x n))) (pow.f64 n -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x n)) (*.f64 (sqrt.f64 (/.f64 x n)) (/.f64 x n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (/.f64 x n))) (*.f64 (sqrt.f64 (*.f64 x (/.f64 x n))) (pow.f64 n -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 n -1/2) (/.f64 (*.f64 x (/.f64 x n)) (sqrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x n) (neg.f64 x)) (/.f64 1 (neg.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x n) (sqrt.f64 (/.f64 x n))) (sqrt.f64 (/.f64 x n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) n) (/.f64 (sqrt.f64 x) (/.f64 n x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 n n))) (/.f64 (*.f64 x (/.f64 x n)) (cbrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 n)) (/.f64 (/.f64 x n) (sqrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x x)) n) (/.f64 (cbrt.f64 x) (/.f64 n x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 (/.f64 x n) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x n) 1) (/.f64 x n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 x (/.f64 x n)) 2)) 1) (/.f64 (cbrt.f64 (*.f64 x (/.f64 x n))) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 x (/.f64 x n))) 1) (/.f64 (sqrt.f64 (*.f64 x (/.f64 x n))) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (cbrt.f64 (*.f64 n n))) (/.f64 (/.f64 x n) (cbrt.f64 n)))))) 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cbrt.f64 (/.f64 (pow.f64 (*.f64 x (/.f64 x n)) 3) (pow.f64 n 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x (/.f64 x n)) 3) (/.f64 (pow.f64 n -2) n)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 x n) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 x n) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (/.f64 x n))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 x n))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (pow.f64 (/.f64 x n) 2) 1/2 (+.f64 1 (/.f64 x n))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 x n)) 2) (+.f64 1 (-.f64 (/.f64 x n) (/.f64 1/2 (pow.f64 (/.f64 n x) 2))))) (/.f64 (pow.f64 (/.f64 1/2 (pow.f64 (/.f64 n x) 2)) 2) (+.f64 1 (-.f64 (/.f64 x n) (/.f64 1/2 (pow.f64 (/.f64 n x) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (pow.f64 (/.f64 x n) 2) 1/2 (+.f64 1 (/.f64 x n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 (/.f64 x n) 2) 1/2 (+.f64 1 (/.f64 x n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (pow.f64 (/.f64 x n) 2) 1/2 (+.f64 1 (/.f64 x n)))) (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x n) 2) 1/2 (+.f64 1 (/.f64 x n))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x n) 2) 1/2 (+.f64 1 (/.f64 x n))) 2)) (cbrt.f64 (fma.f64 (pow.f64 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simplify156.0ms (0.9%)

Algorithm
egg-herbie
Rules
991×fma-neg_binary64
267×associate-*r*_binary64
262×associate-*l*_binary64
208×cube-prod_binary64
204×*-commutative_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05957470
115706809
258086755
Stop Event
node limit
Counts
316 → 363
Calls
Call 1
Inputs
(/.f64 (pow.f64 x 2) (pow.f64 n 2))
(/.f64 (pow.f64 x 2) (pow.f64 n 2))
(/.f64 (pow.f64 x 2) (pow.f64 n 2))
(/.f64 (pow.f64 x 2) (pow.f64 n 2))
(/.f64 (pow.f64 x 2) (pow.f64 n 2))
(/.f64 (pow.f64 x 2) (pow.f64 n 2))
(/.f64 (pow.f64 x 2) (pow.f64 n 2))
(/.f64 (pow.f64 x 2) (pow.f64 n 2))
(/.f64 (pow.f64 x 2) (pow.f64 n 2))
(/.f64 (pow.f64 x 2) (pow.f64 n 2))
(/.f64 (pow.f64 x 2) (pow.f64 n 2))
(/.f64 (pow.f64 x 2) (pow.f64 n 2))
(/.f64 (pow.f64 x 2) (pow.f64 n 2))
(/.f64 (pow.f64 x 2) (pow.f64 n 2))
(/.f64 (pow.f64 x 2) (pow.f64 n 2))
(/.f64 (pow.f64 x 2) (pow.f64 n 2))
(/.f64 (pow.f64 x 2) (pow.f64 n 2))
(/.f64 (pow.f64 x 2) (pow.f64 n 2))
(/.f64 (pow.f64 x 2) (pow.f64 n 2))
(/.f64 (pow.f64 x 2) (pow.f64 n 2))
(/.f64 (pow.f64 x 2) (pow.f64 n 2))
(/.f64 (pow.f64 x 2) (pow.f64 n 2))
(/.f64 (pow.f64 x 2) (pow.f64 n 2))
(/.f64 (pow.f64 x 2) (pow.f64 n 2))
1
(+.f64 (/.f64 x n) 1)
(+.f64 (/.f64 x n) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2)))))
(+.f64 (/.f64 x n) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2)))))
(*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2)))
(+.f64 (/.f64 x n) (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))))
(+.f64 (/.f64 x n) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2)))))
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(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (/.f64 x n)))
(*.f64 (sqrt.f64 (/.f64 x n)) (/.f64 x (sqrt.f64 (/.f64 n x))))
(*.f64 (sqrt.f64 (/.f64 x n)) (*.f64 (sqrt.f64 (/.f64 x n)) x))
(*.f64 (sqrt.f64 (*.f64 x (/.f64 x n))) (sqrt.f64 (*.f64 x (/.f64 x n))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 x n)))
(*.f64 (neg.f64 x) (/.f64 1 (/.f64 (neg.f64 n) x)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) 1) (/.f64 (cbrt.f64 x) (/.f64 n x)))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 n x)))
(*.f64 (/.f64 (sqrt.f64 x) n) (/.f64 (sqrt.f64 x) (/.f64 1 x)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) n) (/.f64 (cbrt.f64 x) (/.f64 1 x)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (cbrt.f64 (/.f64 n x)) 2)) (cbrt.f64 (*.f64 x (/.f64 x n))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 n x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 n x))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 (/.f64 n x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 n x))))
(*.f64 (/.f64 x 1) (/.f64 x n))
(*.f64 (/.f64 x (neg.f64 n)) (neg.f64 x))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (/.f64 x n)) 2)) (cbrt.f64 (/.f64 x n)))
(*.f64 (*.f64 x (sqrt.f64 (/.f64 x n))) (sqrt.f64 (/.f64 x n)))
(*.f64 (*.f64 (/.f64 x n) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))
(*.f64 (*.f64 (/.f64 x n) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (*.f64 x (/.f64 x n)) 1)
(pow.f64 (pow.f64 (*.f64 x (/.f64 x n)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 x n))) 3)
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 x n))) 2)
(pow.f64 (/.f64 n (*.f64 x x)) -1)
(neg.f64 (/.f64 x (/.f64 (neg.f64 n) x)))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 x n)) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 x n)) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 x n)))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 x n)) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 n x) 3)))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 x n) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x n) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 x n))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 x n))))
(exp.f64 (log.f64 (*.f64 x (/.f64 x n))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 x n))) 1))
Outputs
(/.f64 (pow.f64 x 2) (pow.f64 n 2))
(/.f64 (*.f64 x x) (*.f64 n n))
(pow.f64 (/.f64 x n) 2)
(/.f64 (pow.f64 x 2) (pow.f64 n 2))
(/.f64 (*.f64 x x) (*.f64 n n))
(pow.f64 (/.f64 x n) 2)
(/.f64 (pow.f64 x 2) (pow.f64 n 2))
(/.f64 (*.f64 x x) (*.f64 n n))
(pow.f64 (/.f64 x n) 2)
(/.f64 (pow.f64 x 2) (pow.f64 n 2))
(/.f64 (*.f64 x x) (*.f64 n n))
(pow.f64 (/.f64 x n) 2)
(/.f64 (pow.f64 x 2) (pow.f64 n 2))
(/.f64 (*.f64 x x) (*.f64 n n))
(pow.f64 (/.f64 x n) 2)
(/.f64 (pow.f64 x 2) (pow.f64 n 2))
(/.f64 (*.f64 x x) (*.f64 n n))
(pow.f64 (/.f64 x n) 2)
(/.f64 (pow.f64 x 2) (pow.f64 n 2))
(/.f64 (*.f64 x x) (*.f64 n n))
(pow.f64 (/.f64 x n) 2)
(/.f64 (pow.f64 x 2) (pow.f64 n 2))
(/.f64 (*.f64 x x) (*.f64 n n))
(pow.f64 (/.f64 x n) 2)
(/.f64 (pow.f64 x 2) (pow.f64 n 2))
(/.f64 (*.f64 x x) (*.f64 n n))
(pow.f64 (/.f64 x n) 2)
(/.f64 (pow.f64 x 2) (pow.f64 n 2))
(/.f64 (*.f64 x x) (*.f64 n n))
(pow.f64 (/.f64 x n) 2)
(/.f64 (pow.f64 x 2) (pow.f64 n 2))
(/.f64 (*.f64 x x) (*.f64 n n))
(pow.f64 (/.f64 x n) 2)
(/.f64 (pow.f64 x 2) (pow.f64 n 2))
(/.f64 (*.f64 x x) (*.f64 n n))
(pow.f64 (/.f64 x n) 2)
(/.f64 (pow.f64 x 2) (pow.f64 n 2))
(/.f64 (*.f64 x x) (*.f64 n n))
(pow.f64 (/.f64 x n) 2)
(/.f64 (pow.f64 x 2) (pow.f64 n 2))
(/.f64 (*.f64 x x) (*.f64 n n))
(pow.f64 (/.f64 x n) 2)
(/.f64 (pow.f64 x 2) (pow.f64 n 2))
(/.f64 (*.f64 x x) (*.f64 n n))
(pow.f64 (/.f64 x n) 2)
(/.f64 (pow.f64 x 2) (pow.f64 n 2))
(/.f64 (*.f64 x x) (*.f64 n n))
(pow.f64 (/.f64 x n) 2)
(/.f64 (pow.f64 x 2) (pow.f64 n 2))
(/.f64 (*.f64 x x) (*.f64 n n))
(pow.f64 (/.f64 x n) 2)
(/.f64 (pow.f64 x 2) (pow.f64 n 2))
(/.f64 (*.f64 x x) (*.f64 n n))
(pow.f64 (/.f64 x n) 2)
(/.f64 (pow.f64 x 2) (pow.f64 n 2))
(/.f64 (*.f64 x x) (*.f64 n n))
(pow.f64 (/.f64 x n) 2)
(/.f64 (pow.f64 x 2) (pow.f64 n 2))
(/.f64 (*.f64 x x) (*.f64 n n))
(pow.f64 (/.f64 x n) 2)
(/.f64 (pow.f64 x 2) (pow.f64 n 2))
(/.f64 (*.f64 x x) (*.f64 n n))
(pow.f64 (/.f64 x n) 2)
(/.f64 (pow.f64 x 2) (pow.f64 n 2))
(/.f64 (*.f64 x x) (*.f64 n n))
(pow.f64 (/.f64 x n) 2)
(/.f64 (pow.f64 x 2) (pow.f64 n 2))
(/.f64 (*.f64 x x) (*.f64 n n))
(pow.f64 (/.f64 x n) 2)
(/.f64 (pow.f64 x 2) (pow.f64 n 2))
(/.f64 (*.f64 x x) (*.f64 n n))
(pow.f64 (/.f64 x n) 2)
1
(+.f64 (/.f64 x n) 1)
(+.f64 1 (/.f64 x n))
(+.f64 (/.f64 x n) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2)))))
(+.f64 (+.f64 1 (/.f64 x n)) (*.f64 (/.f64 (*.f64 x x) (*.f64 n n)) 1/2))
(+.f64 1 (fma.f64 1/2 (pow.f64 (/.f64 x n) 2) (/.f64 x n)))
(+.f64 (/.f64 x n) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2)))))
(+.f64 (+.f64 1 (/.f64 x n)) (*.f64 (/.f64 (*.f64 x x) (*.f64 n n)) 1/2))
(+.f64 1 (fma.f64 1/2 (pow.f64 (/.f64 x n) 2) (/.f64 x n)))
(*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2)))
(*.f64 (/.f64 (*.f64 x x) (*.f64 n n)) 1/2)
(*.f64 1/2 (pow.f64 (/.f64 x n) 2))
(+.f64 (/.f64 x n) (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))))
(+.f64 (/.f64 x n) (*.f64 (/.f64 (*.f64 x x) (*.f64 n n)) 1/2))
(fma.f64 1/2 (pow.f64 (/.f64 x n) 2) (/.f64 x n))
(+.f64 (/.f64 x n) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2)))))
(+.f64 (+.f64 1 (/.f64 x n)) (*.f64 (/.f64 (*.f64 x x) (*.f64 n n)) 1/2))
(+.f64 1 (fma.f64 1/2 (pow.f64 (/.f64 x n) 2) (/.f64 x n)))
(+.f64 (/.f64 x n) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2)))))
(+.f64 (+.f64 1 (/.f64 x n)) (*.f64 (/.f64 (*.f64 x x) (*.f64 n n)) 1/2))
(+.f64 1 (fma.f64 1/2 (pow.f64 (/.f64 x n) 2) (/.f64 x n)))
(*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2)))
(*.f64 (/.f64 (*.f64 x x) (*.f64 n n)) 1/2)
(*.f64 1/2 (pow.f64 (/.f64 x n) 2))
(+.f64 (/.f64 x n) (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))))
(+.f64 (/.f64 x n) (*.f64 (/.f64 (*.f64 x x) (*.f64 n n)) 1/2))
(fma.f64 1/2 (pow.f64 (/.f64 x n) 2) (/.f64 x n))
(+.f64 (/.f64 x n) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2)))))
(+.f64 (+.f64 1 (/.f64 x n)) (*.f64 (/.f64 (*.f64 x x) (*.f64 n n)) 1/2))
(+.f64 1 (fma.f64 1/2 (pow.f64 (/.f64 x n) 2) (/.f64 x n)))
(+.f64 (/.f64 x n) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2)))))
(+.f64 (+.f64 1 (/.f64 x n)) (*.f64 (/.f64 (*.f64 x x) (*.f64 n n)) 1/2))
(+.f64 1 (fma.f64 1/2 (pow.f64 (/.f64 x n) 2) (/.f64 x n)))
(*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2)))
(*.f64 (/.f64 (*.f64 x x) (*.f64 n n)) 1/2)
(*.f64 1/2 (pow.f64 (/.f64 x n) 2))
(+.f64 (/.f64 x n) (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))))
(+.f64 (/.f64 x n) (*.f64 (/.f64 (*.f64 x x) (*.f64 n n)) 1/2))
(fma.f64 1/2 (pow.f64 (/.f64 x n) 2) (/.f64 x n))
(+.f64 (/.f64 x n) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2)))))
(+.f64 (+.f64 1 (/.f64 x n)) (*.f64 (/.f64 (*.f64 x x) (*.f64 n n)) 1/2))
(+.f64 1 (fma.f64 1/2 (pow.f64 (/.f64 x n) 2) (/.f64 x n)))
(+.f64 (/.f64 x n) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2)))))
(+.f64 (+.f64 1 (/.f64 x n)) (*.f64 (/.f64 (*.f64 x x) (*.f64 n n)) 1/2))
(+.f64 1 (fma.f64 1/2 (pow.f64 (/.f64 x n) 2) (/.f64 x n)))
1
(+.f64 (/.f64 x n) 1)
(+.f64 1 (/.f64 x n))
(+.f64 (/.f64 x n) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2)))))
(+.f64 (+.f64 1 (/.f64 x n)) (*.f64 (/.f64 (*.f64 x x) (*.f64 n n)) 1/2))
(+.f64 1 (fma.f64 1/2 (pow.f64 (/.f64 x n) 2) (/.f64 x n)))
(+.f64 (/.f64 x n) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2)))))
(+.f64 (+.f64 1 (/.f64 x n)) (*.f64 (/.f64 (*.f64 x x) (*.f64 n n)) 1/2))
(+.f64 1 (fma.f64 1/2 (pow.f64 (/.f64 x n) 2) (/.f64 x n)))
1
(+.f64 (/.f64 x n) 1)
(+.f64 1 (/.f64 x n))
(+.f64 (/.f64 x n) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2)))))
(+.f64 (+.f64 1 (/.f64 x n)) (*.f64 (/.f64 (*.f64 x x) (*.f64 n n)) 1/2))
(+.f64 1 (fma.f64 1/2 (pow.f64 (/.f64 x n) 2) (/.f64 x n)))
(+.f64 (/.f64 x n) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2)))))
(+.f64 (+.f64 1 (/.f64 x n)) (*.f64 (/.f64 (*.f64 x x) (*.f64 n n)) 1/2))
(+.f64 1 (fma.f64 1/2 (pow.f64 (/.f64 x n) 2) (/.f64 x n)))
(-.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 (+.f64 (/.f64 x n) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))))) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (*.f64 (/.f64 (*.f64 x x) (*.f64 n n)) 1/2)) (exp.f64 (/.f64 (log.f64 x) n)))
(+.f64 (fma.f64 1/2 (pow.f64 (/.f64 x n) 2) 1) (-.f64 (/.f64 x n) (exp.f64 (/.f64 (log.f64 x) n))))
(-.f64 (+.f64 (/.f64 x n) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))))) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (*.f64 (/.f64 (*.f64 x x) (*.f64 n n)) 1/2)) (exp.f64 (/.f64 (log.f64 x) n)))
(+.f64 (fma.f64 1/2 (pow.f64 (/.f64 x n) 2) 1) (-.f64 (/.f64 x n) (exp.f64 (/.f64 (log.f64 x) n))))
(*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2)))
(*.f64 (/.f64 (*.f64 x x) (*.f64 n n)) 1/2)
(*.f64 1/2 (pow.f64 (/.f64 x n) 2))
(+.f64 (/.f64 x n) (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))))
(+.f64 (/.f64 x n) (*.f64 (/.f64 (*.f64 x x) (*.f64 n n)) 1/2))
(fma.f64 1/2 (pow.f64 (/.f64 x n) 2) (/.f64 x n))
(-.f64 (+.f64 (/.f64 x n) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))))) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))))
(-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (*.f64 (/.f64 (*.f64 x x) (*.f64 n n)) 1/2)) (exp.f64 (/.f64 (log.f64 x) n)))
(+.f64 (fma.f64 1/2 (pow.f64 (/.f64 x n) 2) 1) (-.f64 (/.f64 x n) (exp.f64 (/.f64 (log.f64 x) n))))
(-.f64 (+.f64 (/.f64 x n) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))))) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))))
(-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (*.f64 (/.f64 (*.f64 x x) (*.f64 n n)) 1/2)) (exp.f64 (/.f64 (log.f64 x) n)))
(+.f64 (fma.f64 1/2 (pow.f64 (/.f64 x n) 2) 1) (-.f64 (/.f64 x n) (exp.f64 (/.f64 (log.f64 x) n))))
(*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2)))
(*.f64 (/.f64 (*.f64 x x) (*.f64 n n)) 1/2)
(*.f64 1/2 (pow.f64 (/.f64 x n) 2))
(+.f64 (/.f64 x n) (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))))
(+.f64 (/.f64 x n) (*.f64 (/.f64 (*.f64 x x) (*.f64 n n)) 1/2))
(fma.f64 1/2 (pow.f64 (/.f64 x n) 2) (/.f64 x n))
(-.f64 (+.f64 (/.f64 x n) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))))) (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))
(+.f64 (/.f64 x n) (-.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 x x) (*.f64 n n)) 1/2)) (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n))))
(+.f64 (/.f64 x n) (-.f64 (fma.f64 1/2 (pow.f64 (/.f64 x n) 2) 1) (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n))))
(-.f64 (+.f64 (/.f64 x n) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))))) (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))
(+.f64 (/.f64 x n) (-.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 x x) (*.f64 n n)) 1/2)) (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n))))
(+.f64 (/.f64 x n) (-.f64 (fma.f64 1/2 (pow.f64 (/.f64 x n) 2) 1) (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n))))
(*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2)))
(*.f64 (/.f64 (*.f64 x x) (*.f64 n n)) 1/2)
(*.f64 1/2 (pow.f64 (/.f64 x n) 2))
(+.f64 (/.f64 x n) (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))))
(+.f64 (/.f64 x n) (*.f64 (/.f64 (*.f64 x x) (*.f64 n n)) 1/2))
(fma.f64 1/2 (pow.f64 (/.f64 x n) 2) (/.f64 x n))
(-.f64 (+.f64 (/.f64 x n) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))))) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (*.f64 (/.f64 (*.f64 x x) (*.f64 n n)) 1/2)) (exp.f64 (/.f64 (log.f64 x) n)))
(+.f64 (fma.f64 1/2 (pow.f64 (/.f64 x n) 2) 1) (-.f64 (/.f64 x n) (exp.f64 (/.f64 (log.f64 x) n))))
(-.f64 (+.f64 (/.f64 x n) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))))) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (*.f64 (/.f64 (*.f64 x x) (*.f64 n n)) 1/2)) (exp.f64 (/.f64 (log.f64 x) n)))
(+.f64 (fma.f64 1/2 (pow.f64 (/.f64 x n) 2) 1) (-.f64 (/.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 x 2) (pow.f64 n 2)))) (+.f64 (/.f64 (log.f64 x) n) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))))
(+.f64 (/.f64 x n) (-.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 n n)) 1/2) (+.f64 (/.f64 (log.f64 x) n) (/.f64 (*.f64 1/2 (pow.f64 (log.f64 x) 2)) (*.f64 n n)))))
(-.f64 (fma.f64 1/2 (pow.f64 (/.f64 x n) 2) (/.f64 x n)) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 (/.f64 x n) (+.f64 (*.f64 1/2 (/.f64 (pow.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 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))))
(+.f64 (/.f64 x n) (-.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (*.f64 n n)) (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))) (+.f64 (/.f64 (log.f64 x) n) (/.f64 (*.f64 1/2 (pow.f64 (log.f64 x) 2)) (*.f64 n n)))))
(+.f64 (+.f64 (fma.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)) (*.f64 1/2 (pow.f64 (/.f64 x n) 2))) (/.f64 (-.f64 x (log.f64 x)) n)) (*.f64 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) -1/2))
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(/.f64 (*.f64 x x) n)
(*.f64 x (/.f64 x n))
(pow.f64 (/.f64 n (*.f64 x x)) -1)
(/.f64 (*.f64 x x) n)
(*.f64 x (/.f64 x n))
(neg.f64 (/.f64 x (/.f64 (neg.f64 n) x)))
(*.f64 (neg.f64 x) (*.f64 (/.f64 1 (neg.f64 n)) x))
(*.f64 x (/.f64 (neg.f64 x) (neg.f64 n)))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 x n)) 2))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 x x) n) 2))
(fabs.f64 (*.f64 x (/.f64 x n)))
(log.f64 (pow.f64 (exp.f64 (/.f64 x n)) x))
(/.f64 (*.f64 x x) n)
(*.f64 x (/.f64 x n))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 x n)))))
(/.f64 (*.f64 x x) n)
(*.f64 x (/.f64 x n))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 x n)) 3))
(/.f64 (*.f64 x x) n)
(*.f64 x (/.f64 x n))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 n x) 3)))
(/.f64 (*.f64 x x) n)
(*.f64 x (/.f64 x n))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 x n) 3)))
(/.f64 (*.f64 x x) n)
(*.f64 x (/.f64 x n))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x n) 3) (pow.f64 x 3)))
(/.f64 (*.f64 x x) n)
(*.f64 x (/.f64 x n))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 x n))))
(/.f64 (*.f64 x x) n)
(*.f64 x (/.f64 x n))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 x n))))
(/.f64 (*.f64 x x) n)
(*.f64 x (/.f64 x n))
(exp.f64 (log.f64 (*.f64 x (/.f64 x n))))
(/.f64 (*.f64 x x) n)
(*.f64 x (/.f64 x n))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 x n))) 1))
(/.f64 (*.f64 x x) n)
(*.f64 x (/.f64 x n))

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3)) n)
0.3b
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3))
0.3b
(pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3)
3.1b
(-.f64 (log1p.f64 x) (log.f64 x))
Compiler

Compiled 39 to 15 computations (61.5% saved)

series4.0ms (0%)

Counts
3 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@0
(pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3)
1.0ms
x
@inf
(pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3)
0.0ms
x
@-inf
(pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3)
0.0ms
x
@-inf
(/.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3)) n)
0.0ms
x
@0
(/.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3)) n)

rewrite73.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
460×log-prod_binary64
418×prod-diff_binary64
344×exp-prod_binary64
288×pow-prod-down_binary64
249×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01030
121930
2264930
Stop Event
node limit
Counts
3 → 190
Calls
Call 1
Inputs
(pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3)
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3))
(/.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3)) n)
Outputs
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x) (log.f64 x)) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2) (-.f64 (log1p.f64 x) (log.f64 x)))))) (#(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))) (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 5/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3/2) (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 5/2) (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2) 1) (-.f64 (log1p.f64 x) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (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 (pow.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) 3) (pow.f64 (fma.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)) (pow.f64 (log1p.f64 x) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) 3) (pow.f64 (+.f64 (log1p.f64 x) (log.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2)) 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(pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 9))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 9)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/2 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 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((#(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))) (cbrt.f64 (pow.f64 (log.f64 x) 2)) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (+.f64 (neg.f64 (log.f64 x)) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (fma.f64 -1 (log.f64 x) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2))) (cbrt.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 0 (-.f64 (log1p.f64 x) (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 (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 (/.f64 (pow.f64 (log1p.f64 x) 3) (fma.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)) (pow.f64 (log1p.f64 x) 2))) (/.f64 (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 (pow.f64 (log1p.f64 x) 2) (+.f64 (log1p.f64 x) (log.f64 x))) (/.f64 (pow.f64 (log.f64 x) 2) (+.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 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 (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 (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 (fma.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)) (pow.f64 (log1p.f64 x) 2)) (-.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)) (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 (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 (fma.f64 (log.f64 x) (+.f64 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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3) (pow.f64 n 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) 2)) (cbrt.f64 (log.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))) (sqrt.f64 (log.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))))))) (#(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 (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 (-.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 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 (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 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 (log.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 1) 1))))))

simplify93.0ms (0.5%)

Algorithm
egg-herbie
Rules
773×times-frac_binary64
234×div-sub_binary64
233×sqr-pow_binary64
219×exp-prod_binary64
215×fma-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05014025
111933935
239883919
Stop Event
node limit
Counts
238 → 307
Calls
Call 1
Inputs
(*.f64 -1 (pow.f64 (log.f64 x) 3))
(+.f64 (*.f64 (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 2 (pow.f64 (log.f64 x) 2))) x) (*.f64 -1 (pow.f64 (log.f64 x) 3)))
(+.f64 (*.f64 (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 2 (pow.f64 (log.f64 x) 2))) x) (+.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1 (log.f64 x)) (log.f64 x))) (+.f64 (*.f64 -1/2 (pow.f64 (log.f64 x) 2)) (*.f64 -2 (log.f64 x)))) (pow.f64 x 2)) (*.f64 -1 (pow.f64 (log.f64 x) 3))))
(+.f64 (*.f64 (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 2 (pow.f64 (log.f64 x) 2))) x) (+.f64 (*.f64 (+.f64 1 (+.f64 (*.f64 2 (log.f64 x)) (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -2/3 (log.f64 x)) 1) (log.f64 x))) (*.f64 1/3 (pow.f64 (log.f64 x) 2))))) (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1 (log.f64 x)) (log.f64 x))) (+.f64 (*.f64 -1/2 (pow.f64 (log.f64 x) 2)) (*.f64 -2 (log.f64 x)))) (pow.f64 x 2)) (*.f64 -1 (pow.f64 (log.f64 x) 3)))))
(/.f64 1 (pow.f64 x 3))
(-.f64 (/.f64 1 (pow.f64 x 3)) (*.f64 3/2 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 7/4 (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 3))) (*.f64 3/2 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 7/4 (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 15/8 (/.f64 1 (pow.f64 x 6))) (*.f64 3/2 (/.f64 1 (pow.f64 x 4)))))
(/.f64 1 (pow.f64 x 3))
(-.f64 (/.f64 1 (pow.f64 x 3)) (*.f64 3/2 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 7/4 (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 3))) (*.f64 3/2 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 7/4 (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 15/8 (/.f64 1 (pow.f64 x 6))) (*.f64 3/2 (/.f64 1 (pow.f64 x 4)))))
(*.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)
(+.f64 0 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3))
(+.f64 (*.f64 (log1p.f64 x) (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2)) (*.f64 (neg.f64 (log.f64 x)) (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2)))
(+.f64 (*.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2) (log1p.f64 x)) (*.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2) (neg.f64 (log.f64 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3))) 1)
(*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2))
(*.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3) 1)
(*.f64 1 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3))
(*.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2) (-.f64 (log1p.f64 x) (log.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (*.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2)))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 5/2))
(*.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3/2) (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3/2))
(*.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 5/2) (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))))
(*.f64 (*.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2) 1) (-.f64 (log1p.f64 x) (log.f64 x)))
(*.f64 (pow.f64 (*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) 2) (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))))
(/.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) 3) (pow.f64 (fma.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)) (pow.f64 (log1p.f64 x) 2)) 3))
(/.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) 3) (pow.f64 (+.f64 (log1p.f64 x) (log.f64 x)) 3))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2)) (fma.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)) (pow.f64 (log1p.f64 x) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2)) (+.f64 (log1p.f64 x) (log.f64 x)))
(/.f64 (*.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2) (-.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)))
(/.f64 (*.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2) (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (+.f64 (log1p.f64 x) (log.f64 x)))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 6))
(log.f64 (exp.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3))))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 9))
(expm1.f64 (log1p.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3)))
(log1p.f64 (expm1.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3)))
(exp.f64 (*.f64 3 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) 1))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) 3/2))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 9)) 1/3))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 1) 3))
(exp.f64 (*.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) 1/3) 3))
(exp.f64 (*.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) 1) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 3/2) 2))
(fma.f64 (log1p.f64 x) (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2) (*.f64 (neg.f64 (log.f64 x)) (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2)))
(fma.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2) (log1p.f64 x) (*.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2) (neg.f64 (log.f64 x))))
(+.f64 (log1p.f64 x) (neg.f64 (log.f64 x)))
(+.f64 (log1p.f64 x) (*.f64 (neg.f64 (log.f64 x)) 1))
(+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))
(+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (cbrt.f64 (pow.f64 (log.f64 x) 2)) (log.f64 x)))
(+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (+.f64 (neg.f64 (log.f64 x)) (log.f64 x)))
(+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (fma.f64 -1 (log.f64 x) (log.f64 x)))
(+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2))) (cbrt.f64 (log.f64 x)) (log.f64 x)))
(+.f64 (neg.f64 (log.f64 x)) (log1p.f64 x))
(+.f64 0 (-.f64 (log1p.f64 x) (log.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x))) (log.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x))))
(-.f64 (log1p.f64 x) (log.f64 x))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) 1)
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(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) -1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 1) 1))
Outputs
(*.f64 -1 (pow.f64 (log.f64 x) 3))
(pow.f64 (neg.f64 (log.f64 x)) 3)
(+.f64 (*.f64 (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 2 (pow.f64 (log.f64 x) 2))) x) (*.f64 -1 (pow.f64 (log.f64 x) 3)))
(fma.f64 (*.f64 3 (pow.f64 (log.f64 x) 2)) x (pow.f64 (neg.f64 (log.f64 x)) 3))
(-.f64 (*.f64 x (*.f64 3 (pow.f64 (log.f64 x) 2))) (pow.f64 (log.f64 x) 3))
(+.f64 (*.f64 (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 2 (pow.f64 (log.f64 x) 2))) x) (+.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1 (log.f64 x)) (log.f64 x))) (+.f64 (*.f64 -1/2 (pow.f64 (log.f64 x) 2)) (*.f64 -2 (log.f64 x)))) (pow.f64 x 2)) (*.f64 -1 (pow.f64 (log.f64 x) 3))))
(fma.f64 (*.f64 3 (pow.f64 (log.f64 x) 2)) x (fma.f64 (fma.f64 -1 (*.f64 (log.f64 x) (+.f64 (log.f64 x) 1)) (fma.f64 -1/2 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 x) -2))) (*.f64 x x) (pow.f64 (neg.f64 (log.f64 x)) 3)))
(fma.f64 x (*.f64 3 (pow.f64 (log.f64 x) 2)) (-.f64 (*.f64 x (*.f64 x (-.f64 (fma.f64 (pow.f64 (log.f64 x) 2) -1/2 (*.f64 (log.f64 x) -2)) (+.f64 (log.f64 x) (pow.f64 (log.f64 x) 2))))) (pow.f64 (log.f64 x) 3)))
(-.f64 (fma.f64 x (*.f64 3 (pow.f64 (log.f64 x) 2)) (*.f64 x (*.f64 x (fma.f64 (-.f64 -1 (log.f64 x)) (log.f64 x) (fma.f64 (pow.f64 (log.f64 x) 2) -1/2 (*.f64 (log.f64 x) -2)))))) (pow.f64 (log.f64 x) 3))
(+.f64 (*.f64 (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 2 (pow.f64 (log.f64 x) 2))) x) (+.f64 (*.f64 (+.f64 1 (+.f64 (*.f64 2 (log.f64 x)) (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -2/3 (log.f64 x)) 1) (log.f64 x))) (*.f64 1/3 (pow.f64 (log.f64 x) 2))))) (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1 (log.f64 x)) (log.f64 x))) (+.f64 (*.f64 -1/2 (pow.f64 (log.f64 x) 2)) (*.f64 -2 (log.f64 x)))) (pow.f64 x 2)) (*.f64 -1 (pow.f64 (log.f64 x) 3)))))
(fma.f64 (*.f64 3 (pow.f64 (log.f64 x) 2)) x (fma.f64 (+.f64 1 (fma.f64 2 (log.f64 x) (fma.f64 -1 (*.f64 (log.f64 x) (fma.f64 -2/3 (log.f64 x) -1)) (*.f64 (pow.f64 (log.f64 x) 2) 1/3)))) (pow.f64 x 3) (fma.f64 (fma.f64 -1 (*.f64 (log.f64 x) (+.f64 (log.f64 x) 1)) (fma.f64 -1/2 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 x) -2))) (*.f64 x x) (pow.f64 (neg.f64 (log.f64 x)) 3))))
(fma.f64 x (*.f64 3 (pow.f64 (log.f64 x) 2)) (-.f64 (fma.f64 (+.f64 (*.f64 (log.f64 x) (+.f64 2 (neg.f64 (fma.f64 (log.f64 x) -2/3 -1)))) (+.f64 (*.f64 (pow.f64 (log.f64 x) 2) 1/3) 1)) (pow.f64 x 3) (*.f64 x (*.f64 x (-.f64 (fma.f64 (pow.f64 (log.f64 x) 2) -1/2 (*.f64 (log.f64 x) -2)) (+.f64 (log.f64 x) (pow.f64 (log.f64 x) 2)))))) (pow.f64 (log.f64 x) 3)))
(fma.f64 x (*.f64 3 (pow.f64 (log.f64 x) 2)) (-.f64 (fma.f64 (+.f64 (*.f64 (log.f64 x) (-.f64 2 (fma.f64 (log.f64 x) -2/3 -1))) (+.f64 (*.f64 (pow.f64 (log.f64 x) 2) 1/3) 1)) (pow.f64 x 3) (*.f64 x (*.f64 x (fma.f64 (-.f64 -1 (log.f64 x)) (log.f64 x) (fma.f64 (pow.f64 (log.f64 x) 2) -1/2 (*.f64 (log.f64 x) -2)))))) (pow.f64 (log.f64 x) 3)))
(/.f64 1 (pow.f64 x 3))
(-.f64 (/.f64 1 (pow.f64 x 3)) (*.f64 3/2 (/.f64 1 (pow.f64 x 4))))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 3/2 (pow.f64 x 4)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -3/2 (pow.f64 x 4)))
(-.f64 (+.f64 (*.f64 7/4 (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 3))) (*.f64 3/2 (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 7/4 (pow.f64 x 5)) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 3/2 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -3/2 (pow.f64 x 4))) (/.f64 7/4 (pow.f64 x 5)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 7/4 (pow.f64 x 5)) (/.f64 -3/2 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 7/4 (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 15/8 (/.f64 1 (pow.f64 x 6))) (*.f64 3/2 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 7/4 (pow.f64 x 5))) (+.f64 (/.f64 3/2 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6))))
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 7/4 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 6)))) (/.f64 -3/2 (pow.f64 x 4)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 7/4 (pow.f64 x 5)) (-.f64 (/.f64 -3/2 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6)))))
(/.f64 1 (pow.f64 x 3))
(-.f64 (/.f64 1 (pow.f64 x 3)) (*.f64 3/2 (/.f64 1 (pow.f64 x 4))))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 3/2 (pow.f64 x 4)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -3/2 (pow.f64 x 4)))
(-.f64 (+.f64 (*.f64 7/4 (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 3))) (*.f64 3/2 (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 7/4 (pow.f64 x 5)) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 3/2 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -3/2 (pow.f64 x 4))) (/.f64 7/4 (pow.f64 x 5)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 7/4 (pow.f64 x 5)) (/.f64 -3/2 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 7/4 (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 15/8 (/.f64 1 (pow.f64 x 6))) (*.f64 3/2 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 7/4 (pow.f64 x 5))) (+.f64 (/.f64 3/2 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6))))
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 7/4 (pow.f64 x 5)) (/.f64 15/8 (pow.f64 x 6)))) (/.f64 -3/2 (pow.f64 x 4)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 7/4 (pow.f64 x 5)) (-.f64 (/.f64 -3/2 (pow.f64 x 4)) (/.f64 15/8 (pow.f64 x 6)))))
(*.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 (*.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 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 (/.f64 1/2 x) x))
(+.f64 (/.f64 1 x) (/.f64 -1/2 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1/3 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 (/.f64 1/2 x) x)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 -1/2 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 1/3 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1/4 (pow.f64 x 4)))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 1/2 x) x) (/.f64 1/4 (pow.f64 x 4)))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (-.f64 (/.f64 -1/2 (*.f64 x x)) (/.f64 1/4 (pow.f64 x 4)))))
(/.f64 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 (/.f64 1/2 x) x))
(+.f64 (/.f64 1 x) (/.f64 -1/2 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1/3 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 (/.f64 1/2 x) x)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 -1/2 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 1/3 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1/4 (pow.f64 x 4)))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 1/2 x) x) (/.f64 1/4 (pow.f64 x 4)))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (-.f64 (/.f64 -1/2 (*.f64 x x)) (/.f64 1/4 (pow.f64 x 4)))))
(*.f64 -1 (/.f64 (log.f64 x) n))
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (log.f64 x) (neg.f64 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 x n) (-.f64 (*.f64 -1/2 (/.f64 x (/.f64 n x))) (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 (/.f64 x n) (*.f64 -1/2 (/.f64 x (/.f64 n x)))) (/.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)))
(/.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 (/.f64 (/.f64 1/2 x) x) n))
(+.f64 (/.f64 (/.f64 1 x) n) (/.f64 -1/2 (*.f64 x (*.f64 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 (/.f64 1/3 n) (pow.f64 x 3)) (/.f64 (/.f64 (/.f64 1/2 x) x) n)))
(+.f64 (/.f64 (/.f64 1 x) n) (+.f64 (/.f64 1/3 (*.f64 (pow.f64 x 3) n)) (/.f64 -1/2 (*.f64 x (*.f64 x n)))))
(-.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 1/3 (*.f64 (pow.f64 x 3) n)) (-.f64 (/.f64 1 (*.f64 x n)) (+.f64 (/.f64 1/2 (*.f64 (*.f64 x x) n)) (/.f64 1/4 (*.f64 (pow.f64 x 4) n)))))
(+.f64 (/.f64 (/.f64 1/3 n) (pow.f64 x 3)) (-.f64 (/.f64 1 (*.f64 x n)) (+.f64 (/.f64 (/.f64 (/.f64 1/2 x) x) n) (/.f64 1/4 (*.f64 (pow.f64 x 4) n)))))
(+.f64 (/.f64 (/.f64 1 x) n) (+.f64 (/.f64 1/3 (*.f64 (pow.f64 x 3) n)) (-.f64 (/.f64 -1/2 (*.f64 x (*.f64 x n))) (/.f64 1/4 (*.f64 (pow.f64 x 4) 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 (/.f64 (/.f64 1/2 x) x) n))
(+.f64 (/.f64 (/.f64 1 x) n) (/.f64 -1/2 (*.f64 x (*.f64 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 (/.f64 1/3 n) (pow.f64 x 3)) (/.f64 (/.f64 (/.f64 1/2 x) x) n)))
(+.f64 (/.f64 (/.f64 1 x) n) (+.f64 (/.f64 1/3 (*.f64 (pow.f64 x 3) n)) (/.f64 -1/2 (*.f64 x (*.f64 x n)))))
(-.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 1/3 (*.f64 (pow.f64 x 3) n)) (-.f64 (/.f64 1 (*.f64 x n)) (+.f64 (/.f64 1/2 (*.f64 (*.f64 x x) n)) (/.f64 1/4 (*.f64 (pow.f64 x 4) n)))))
(+.f64 (/.f64 (/.f64 1/3 n) (pow.f64 x 3)) (-.f64 (/.f64 1 (*.f64 x n)) (+.f64 (/.f64 (/.f64 (/.f64 1/2 x) x) n) (/.f64 1/4 (*.f64 (pow.f64 x 4) n)))))
(+.f64 (/.f64 (/.f64 1 x) n) (+.f64 (/.f64 1/3 (*.f64 (pow.f64 x 3) n)) (-.f64 (/.f64 -1/2 (*.f64 x (*.f64 x n))) (/.f64 1/4 (*.f64 (pow.f64 x 4) 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 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(+.f64 0 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3))
(pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3)
(+.f64 (*.f64 (log1p.f64 x) (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2)) (*.f64 (neg.f64 (log.f64 x)) (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2)))
(pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3)
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(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (cbrt.f64 (pow.f64 (log.f64 x) 2)) (log.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log.f64 x))) (-.f64 (log.f64 x) (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (pow.f64 (log.f64 x) 2)))))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log.f64 x))) (+.f64 (neg.f64 (log.f64 x)) (log.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log.f64 x))) (fma.f64 -1 (log.f64 x) (log.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log.f64 x))) (*.f64 0 (log.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log.f64 x))) 0)
(fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2))) (cbrt.f64 (log.f64 x)) (log1p.f64 x))
(fma.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)) (neg.f64 (cbrt.f64 (log.f64 x))) (log1p.f64 x))
(-.f64 (log1p.f64 x) (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (pow.f64 (log.f64 x) 2))))
(+.f64 0 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(+.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)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) x) (/.f64 1 n)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))))
(+.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)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (/.f64 (+.f64 x 1) x) (/.f64 1 n)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) 1)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(-.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (/.f64 1 n))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(*.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 1)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(*.f64 1 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(*.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)))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(*.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (cbrt.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 2)) (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (cbrt.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 2)))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 1 n)))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(*.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(*.f64 (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 1 (neg.f64 n)))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x)))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(*.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))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(*.f64 (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 1) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(*.f64 (pow.f64 (cbrt.f64 n) -2) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 n)))
(*.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 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (pow.f64 (cbrt.f64 n) 2)))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (/.f64 (pow.f64 (cbrt.f64 n) 2) (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))))
(*.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)))
(*.f64 (pow.f64 (cbrt.f64 n) -2) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 n)))
(*.f64 (pow.f64 n -1/2) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n)))
(*.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)))
(/.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n)) (sqrt.f64 n))
(pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 1)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(pow.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 2) 1/2)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(pow.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 3) 1/3)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 3)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(pow.f64 (/.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3) (pow.f64 n 3)) 1/3)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(pow.f64 (/.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) 1) -1)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) 2)) (cbrt.f64 (log.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))) (sqrt.f64 (log.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))))
(neg.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (neg.f64 n)))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 2))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(log.f64 (exp.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 3))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3) (pow.f64 n 3)))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(exp.f64 (log.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 1))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) 1/3))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) 3))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) 2))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(exp.f64 (*.f64 (log.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) -1))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 1) 1))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)

eval419.0ms (2.3%)

Compiler

Compiled 20401 to 10604 computations (48% saved)

prune315.0ms (1.7%)

Pruning

35 alts after pruning (32 fresh and 3 done)

PrunedKeptTotal
New9477954
Fresh52530
Picked101
Done134
Total95435989
Error
0.1b
Counts
989 → 35
Alt Table
Click to see full alt table
StatusErrorProgram
30.8b
(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))))
61.9b
(fma.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (*.f64 x x) (/.f64 x n))
17.5b
(pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1)
55.5b
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))) (pow.f64 x (/.f64 1 n)))) 3)
40.0b
(/.f64 (/.f64 1 x) n)
40.0b
(/.f64 (/.f64 1 n) x)
52.2b
(/.f64 (-.f64 (pow.f64 (exp.f64 2) (/.f64 (log1p.f64 x) n)) (pow.f64 (*.f64 x x) (/.f64 1 n))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
41.0b
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n)
17.5b
(/.f64 (*.f64 3 (log.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)))) n)
42.0b
(/.f64 (neg.f64 (log.f64 x)) n)
20.1b
(/.f64 (log1p.f64 (/.f64 1 x)) n)
37.5b
(/.f64 (log.f64 1) n)
17.8b
(/.f64 (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n)
26.8b
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
42.1b
(/.f64 (cbrt.f64 (pow.f64 (neg.f64 (log.f64 x)) 3)) n)
61.1b
(/.f64 x n)
40.2b
(/.f64 1 (*.f64 x n))
30.8b
(-.f64 (pow.f64 (pow.f64 (E.f64) (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2))) (cbrt.f64 (/.f64 (log1p.f64 x) n))) (pow.f64 x (/.f64 1 n)))
41.0b
(-.f64 (/.f64 (/.f64 1 x) n) (/.f64 (/.f64 (/.f64 1/2 x) x) n))
42.1b
(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n))
50.4b
(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))
56.5b
(-.f64 (+.f64 (/.f64 x n) 1) 1)
50.6b
(-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (*.f64 1/2 (/.f64 (/.f64 x (/.f64 n x)) n))) (pow.f64 x (/.f64 1 n)))
36.8b
(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))
30.8b
(-.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (E.f64) (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2))) (cbrt.f64 (/.f64 (log1p.f64 x) n))) 3)) (pow.f64 x (/.f64 1 n)))
30.8b
(-.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3)) 3)) (pow.f64 x (/.f64 1 n)))
44.3b
(-.f64 1 (pow.f64 x (/.f64 1 n)))
40.7b
(+.f64 (/.f64 (/.f64 1 n) x) (-.f64 (/.f64 1/3 (*.f64 (pow.f64 x 3) n)) (/.f64 1/2 (*.f64 x (*.f64 x n)))))
61.9b
(+.f64 (/.f64 x n) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x)))
17.5b
(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x)))
42.0b
(*.f64 (log.f64 x) (/.f64 1 (neg.f64 n)))
27.6b
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 2)) (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))
20.7b
(*.f64 (cbrt.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n)) (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 x))) 2) (pow.f64 (cbrt.f64 n) 2)))
60.1b
(expm1.f64 (/.f64 (log1p.f64 x) n))
51.2b
(cbrt.f64 (pow.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)) 3))
Compiler

Compiled 1007 to 697 computations (30.8% saved)

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x)))
3.1b
(-.f64 (log1p.f64 x) (log.f64 x))
Compiler

Compiled 26 to 11 computations (57.7% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite45.0ms (0.2%)

Algorithm
batch-egg-rewrite
Rules
962×pow1_binary64
892×add-log-exp_binary64
892×expm1-log1p-u_binary64
891×log1p-expm1-u_binary64
93×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0911
118511
2243511
Stop Event
node limit
Counts
1 → 40
Calls
Call 1
Inputs
(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log1p.f64 x) (/.f64 1 n)) (*.f64 (neg.f64 (log.f64 x)) (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 n) (log1p.f64 x)) (*.f64 (/.f64 1 n) (neg.f64 (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 n (-.f64 (log1p.f64 x) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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 n (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))) (/.f64 n (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 n (+.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 n (+.f64 (log1p.f64 x) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (neg.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (*.f64 (neg.f64 n) (+.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 -1 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (*.f64 (neg.f64 n) (+.f64 (log1p.f64 x) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) 1) (*.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)))) n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) 1) (*.f64 (+.f64 (log1p.f64 x) (log.f64 x)) n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) -1) (*.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)))) (neg.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) -1) (*.f64 (+.f64 (log1p.f64 x) (log.f64 x)) (neg.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n)) (sqrt.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 1) n)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (-.f64 (log1p.f64 x) (log.f64 x))) (neg.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 n)) (+.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 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 n)) (+.f64 (log1p.f64 x) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 n) (-.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 (/.f64 1 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 /.f64 (*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) -1) (neg.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 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 1 x) 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 cbrt.f64 (*.f64 (/.f64 (pow.f64 n -2) n) (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3) (/.f64 (pow.f64 n -2) n)))))) (#(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)))))))

simplify38.0ms (0.2%)

Algorithm
egg-herbie
Rules
773×times-frac_binary64
596×associate-*l*_binary64
463×associate-/r*_binary64
413×associate-/l*_binary64
232×associate-*l/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01581124
14531108
214941104
Stop Event
node limit
Counts
64 → 74
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 -1/2 (/.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 (log1p.f64 x) (/.f64 1 n)) (*.f64 (neg.f64 (log.f64 x)) (/.f64 1 n)))
(+.f64 (*.f64 (/.f64 1 n) (log1p.f64 x)) (*.f64 (/.f64 1 n) (neg.f64 (log.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) 1)
(-.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n))
(/.f64 1 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (/.f64 n (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))))
(/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 n (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (*.f64 n (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (*.f64 n (+.f64 (log1p.f64 x) (log.f64 x))))
(/.f64 (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (neg.f64 n))
(/.f64 (*.f64 -1 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (*.f64 (neg.f64 n) (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x))))))
(/.f64 (*.f64 -1 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (*.f64 (neg.f64 n) (+.f64 (log1p.f64 x) (log.f64 x))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) 1) (*.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)))) n))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) 1) (*.f64 (+.f64 (log1p.f64 x) (log.f64 x)) n))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) -1) (*.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)))) (neg.f64 n)))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) -1) (*.f64 (+.f64 (log1p.f64 x) (log.f64 x)) (neg.f64 n)))
(/.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n)) (sqrt.f64 n))
(/.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 1) n)
(/.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 n))
(/.f64 (*.f64 -1 (-.f64 (log1p.f64 x) (log.f64 x))) (neg.f64 n))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 n)) (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 n)) (+.f64 (log1p.f64 x) (log.f64 x)))
(/.f64 (*.f64 (/.f64 1 n) (-.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)))))
(/.f64 (*.f64 (/.f64 1 n) (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (+.f64 (log1p.f64 x) (log.f64 x)))
(/.f64 (*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) -1) (neg.f64 n))
(pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 1)
(pow.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 2))
(log.f64 (pow.f64 (/.f64 (+.f64 1 x) x) (/.f64 1 n)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3) (pow.f64 n 3)))
(cbrt.f64 (*.f64 (/.f64 (pow.f64 n -2) n) (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3) (/.f64 (pow.f64 n -2) n)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))
(exp.f64 (log.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))
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))
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (log.f64 x) (neg.f64 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 x n) (-.f64 (*.f64 -1/2 (/.f64 (*.f64 x x) n)) (/.f64 (log.f64 x) n)))
(-.f64 (fma.f64 -1/2 (*.f64 (/.f64 x 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)))))
(+.f64 (-.f64 (*.f64 -1/2 (/.f64 (*.f64 x x) n)) (/.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) (-.f64 (fma.f64 -1/2 (*.f64 (/.f64 x n) x) (/.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 n (*.f64 x x))))
(+.f64 (/.f64 (/.f64 1 n) x) (/.f64 -1/2 (*.f64 n (*.f64 x x))))
(+.f64 (/.f64 1 (*.f64 x n)) (/.f64 -1/2 (*.f64 n (*.f64 x 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 n (pow.f64 x 3))) (-.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/2 (*.f64 n (*.f64 x x)))))
(+.f64 (/.f64 (/.f64 1 n) x) (-.f64 (/.f64 1/3 (*.f64 n (pow.f64 x 3))) (/.f64 1/2 (*.f64 n (*.f64 x x)))))
(+.f64 (+.f64 (/.f64 1 (*.f64 x n)) (/.f64 -1/2 (*.f64 n (*.f64 x x)))) (/.f64 1/3 (*.f64 n (pow.f64 x 3))))
(-.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 n (pow.f64 x 3)))) (+.f64 (/.f64 1/2 (*.f64 n (*.f64 x x))) (/.f64 1/4 (*.f64 n (pow.f64 x 4)))))
(+.f64 (/.f64 1/3 (*.f64 n (pow.f64 x 3))) (-.f64 (+.f64 (/.f64 (/.f64 1 n) x) (/.f64 -1/2 (*.f64 n (*.f64 x x)))) (/.f64 1/4 (*.f64 n (pow.f64 x 4)))))
(+.f64 (/.f64 1/3 (*.f64 n (pow.f64 x 3))) (+.f64 (/.f64 1 (*.f64 x n)) (-.f64 (/.f64 -1/2 (*.f64 n (*.f64 x x))) (/.f64 1/4 (*.f64 n (pow.f64 x 4))))))
(/.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 n (*.f64 x x))))
(+.f64 (/.f64 (/.f64 1 n) x) (/.f64 -1/2 (*.f64 n (*.f64 x x))))
(+.f64 (/.f64 1 (*.f64 x n)) (/.f64 -1/2 (*.f64 n (*.f64 x 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 n (pow.f64 x 3))) (-.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/2 (*.f64 n (*.f64 x x)))))
(+.f64 (/.f64 (/.f64 1 n) x) (-.f64 (/.f64 1/3 (*.f64 n (pow.f64 x 3))) (/.f64 1/2 (*.f64 n (*.f64 x x)))))
(+.f64 (+.f64 (/.f64 1 (*.f64 x n)) (/.f64 -1/2 (*.f64 n (*.f64 x x)))) (/.f64 1/3 (*.f64 n (pow.f64 x 3))))
(-.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 n (pow.f64 x 3)))) (+.f64 (/.f64 1/2 (*.f64 n (*.f64 x x))) (/.f64 1/4 (*.f64 n (pow.f64 x 4)))))
(+.f64 (/.f64 1/3 (*.f64 n (pow.f64 x 3))) (-.f64 (+.f64 (/.f64 (/.f64 1 n) x) (/.f64 -1/2 (*.f64 n (*.f64 x x)))) (/.f64 1/4 (*.f64 n (pow.f64 x 4)))))
(+.f64 (/.f64 1/3 (*.f64 n (pow.f64 x 3))) (+.f64 (/.f64 1 (*.f64 x n)) (-.f64 (/.f64 -1/2 (*.f64 n (*.f64 x x))) (/.f64 1/4 (*.f64 n (pow.f64 x 4))))))
(+.f64 (*.f64 (log1p.f64 x) (/.f64 1 n)) (*.f64 (neg.f64 (log.f64 x)) (/.f64 1 n)))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(+.f64 (*.f64 (/.f64 1 n) (log1p.f64 x)) (*.f64 (/.f64 1 n) (neg.f64 (log.f64 x))))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) 1)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(-.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 1 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (/.f64 n (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 n (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (*.f64 n (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) n) (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) 2))) n)
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (*.f64 n (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) 2))))
(/.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 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (*.f64 n (+.f64 (log.f64 x) (log1p.f64 x))))
(/.f64 (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (neg.f64 n))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (*.f64 -1 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (*.f64 (neg.f64 n) (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) n) (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) 2))) n)
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (*.f64 n (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) 2))))
(/.f64 (*.f64 -1 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (*.f64 (neg.f64 n) (+.f64 (log1p.f64 x) (log.f64 x))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (*.f64 n (+.f64 (log.f64 x) (log1p.f64 x))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) 1) (*.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)))) n))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) n) (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) 2))) n)
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (*.f64 n (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) 2))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) 1) (*.f64 (+.f64 (log1p.f64 x) (log.f64 x)) n))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (*.f64 n (+.f64 (log.f64 x) (log1p.f64 x))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) -1) (*.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)))) (neg.f64 n)))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) n) (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) 2))) n)
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (*.f64 n (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) 2))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) -1) (*.f64 (+.f64 (log1p.f64 x) (log.f64 x)) (neg.f64 n)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (*.f64 n (+.f64 (log.f64 x) (log1p.f64 x))))
(/.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n)) (sqrt.f64 n))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 1) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 n))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (*.f64 -1 (-.f64 (log1p.f64 x) (log.f64 x))) (neg.f64 n))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 n)) (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) n) (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) 2))) n)
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (*.f64 n (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) 2))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 n)) (+.f64 (log1p.f64 x) (log.f64 x)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (*.f64 n (+.f64 (log.f64 x) (log1p.f64 x))))
(/.f64 (*.f64 (/.f64 1 n) (-.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)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) n) (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) 2))) n)
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (*.f64 n (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) 2))))
(/.f64 (*.f64 (/.f64 1 n) (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (+.f64 (log1p.f64 x) (log.f64 x)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (*.f64 n (+.f64 (log.f64 x) (log1p.f64 x))))
(/.f64 (*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) -1) (neg.f64 n))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 1)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(pow.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 3) 1/3)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 3)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 2))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(log.f64 (pow.f64 (/.f64 (+.f64 1 x) x) (/.f64 1 n)))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 3))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3) (pow.f64 n 3)))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(cbrt.f64 (*.f64 (/.f64 (pow.f64 n -2) n) (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3)))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(cbrt.f64 (*.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3) (/.f64 (pow.f64 n -2) n)))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(exp.f64 (log.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.4b
(/.f64 1 (*.f64 x n))
Compiler

Compiled 13 to 6 computations (53.8% saved)

series3.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite39.0ms (0.2%)

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

simplify53.0ms (0.3%)

Algorithm
egg-herbie
Rules
796×fma-neg_binary64
386×exp-prod_binary64
336×associate-/r/_binary64
322×associate-*l*_binary64
304×associate-*r*_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
060355
1150349
2454349
33174349
46767349
Stop Event
node limit
Counts
47 → 27
Calls
Call 1
Inputs
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1)
(*.f64 1 (/.f64 1 (*.f64 x n)))
(*.f64 (/.f64 1 (*.f64 x n)) 1)
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 x n))) (cbrt.f64 (pow.f64 (*.f64 x n) -2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x n) -2)) (/.f64 1 (cbrt.f64 (*.f64 x n))))
(*.f64 (pow.f64 (*.f64 x n) -1/2) (pow.f64 (*.f64 x n) -1/2))
(*.f64 -1 (/.f64 1 (*.f64 x (neg.f64 n))))
(*.f64 (/.f64 1 x) (pow.f64 n -1))
(*.f64 (/.f64 1 x) (/.f64 1 n))
(*.f64 (pow.f64 n -1) (/.f64 1 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x n)) 2) -1) (pow.f64 (cbrt.f64 (*.f64 x n)) -1))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 x n)) -1) (pow.f64 (sqrt.f64 (*.f64 x n)) -1))
(pow.f64 (*.f64 x n) -1)
(pow.f64 (/.f64 1 (*.f64 x n)) 1)
(pow.f64 (pow.f64 (/.f64 1 (*.f64 x n)) 3) 1/3)
(pow.f64 (/.f64 1 (cbrt.f64 (*.f64 x n))) 3)
(pow.f64 (pow.f64 (*.f64 x n) -1/2) 2)
(sqrt.f64 (pow.f64 (*.f64 x n) -2))
(log.f64 (exp.f64 (/.f64 1 (*.f64 x n))))
(cbrt.f64 (pow.f64 (/.f64 1 (*.f64 x n)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (*.f64 x n))))
(log1p.f64 (expm1.f64 (/.f64 1 (*.f64 x n))))
(exp.f64 (neg.f64 (log.f64 (*.f64 x n))))
Outputs
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 n) x)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 n) x)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 n) x)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 n) x)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 n) x)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 n) x)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 n) x)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 n) x)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 n) x)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 n) x)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 n) x)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 n) x)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 n) x)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 n) x)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 n) x)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 n) x)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 n) x)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 n) x)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 n) x)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 n) x)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 n) x)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 n) x)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 n) x)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 n) x)
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 n) x)
(*.f64 1 (/.f64 1 (*.f64 x n)))
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 n) x)
(*.f64 (/.f64 1 (*.f64 x n)) 1)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 n) x)
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 x n))) (cbrt.f64 (pow.f64 (*.f64 x n) -2)))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 n x))) (cbrt.f64 (pow.f64 (*.f64 n x) -2)))
(/.f64 (cbrt.f64 (pow.f64 (*.f64 n x) -2)) (cbrt.f64 (*.f64 n x)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x n) -2)) (/.f64 1 (cbrt.f64 (*.f64 x n))))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 n x))) (cbrt.f64 (pow.f64 (*.f64 n x) -2)))
(/.f64 (cbrt.f64 (pow.f64 (*.f64 n x) -2)) (cbrt.f64 (*.f64 n x)))
(*.f64 (pow.f64 (*.f64 x n) -1/2) (pow.f64 (*.f64 x n) -1/2))
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 n) x)
(*.f64 -1 (/.f64 1 (*.f64 x (neg.f64 n))))
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 n) x)
(*.f64 (/.f64 1 x) (pow.f64 n -1))
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 n) x)
(*.f64 (/.f64 1 x) (/.f64 1 n))
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 n) x)
(*.f64 (pow.f64 n -1) (/.f64 1 x))
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 n) x)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x n)) 2) -1) (pow.f64 (cbrt.f64 (*.f64 x n)) -1))
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 n) x)
(*.f64 (pow.f64 (sqrt.f64 (*.f64 x n)) -1) (pow.f64 (sqrt.f64 (*.f64 x n)) -1))
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 n) x)
(pow.f64 (*.f64 x n) -1)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 n) x)
(pow.f64 (/.f64 1 (*.f64 x n)) 1)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 n) x)
(pow.f64 (pow.f64 (/.f64 1 (*.f64 x n)) 3) 1/3)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 n) x)
(pow.f64 (/.f64 1 (cbrt.f64 (*.f64 x n))) 3)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 n) x)
(pow.f64 (pow.f64 (*.f64 x n) -1/2) 2)
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 n) x)
(sqrt.f64 (pow.f64 (*.f64 x n) -2))
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 n) x)
(log.f64 (exp.f64 (/.f64 1 (*.f64 x n))))
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 n) x)
(cbrt.f64 (pow.f64 (/.f64 1 (*.f64 x n)) 3))
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 n) x)
(expm1.f64 (log1p.f64 (/.f64 1 (*.f64 x n))))
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 n) x)
(log1p.f64 (expm1.f64 (/.f64 1 (*.f64 x n))))
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 n) x)
(exp.f64 (neg.f64 (log.f64 (*.f64 x n))))
(/.f64 1 (*.f64 n x))
(/.f64 (/.f64 1 n) x)

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(log1p.f64 (/.f64 1 x))
0.2b
(/.f64 (log1p.f64 (/.f64 1 x)) n)
Compiler

Compiled 18 to 12 computations (33.3% saved)

series21.0ms (0.1%)

Counts
2 → 36
Calls

9 calls:

TimeVariablePointExpression
12.0ms
n
@0
(/.f64 (log1p.f64 (/.f64 1 x)) n)
7.0ms
n
@inf
(/.f64 (log1p.f64 (/.f64 1 x)) n)
0.0ms
n
@-inf
(/.f64 (log1p.f64 (/.f64 1 x)) n)
0.0ms
x
@-inf
(/.f64 (log1p.f64 (/.f64 1 x)) n)
0.0ms
x
@0
(/.f64 (log1p.f64 (/.f64 1 x)) n)

rewrite49.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
680×pow1_binary64
627×add-log-exp_binary64
627×expm1-log1p-u_binary64
626×log1p-expm1-u_binary64
612×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0715
114115
2173415
Stop Event
node limit
Counts
2 → 46
Calls
Call 1
Inputs
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(log1p.f64 (/.f64 1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (log1p.f64 (/.f64 1 x)) n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (log1p.f64 (/.f64 1 x)) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (/.f64 1 x)) (/.f64 1 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 x))) 2) (*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 x))) (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n)) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n)) 2) (cbrt.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (/.f64 1 x))) (*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 x))) (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n)) (sqrt.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (log1p.f64 (/.f64 1 x))) (/.f64 1 (neg.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 n) (log1p.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 x))) 2) 1) (/.f64 (cbrt.f64 (log1p.f64 (/.f64 1 x))) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log1p.f64 (/.f64 1 x))) 1) (/.f64 (sqrt.f64 (log1p.f64 (/.f64 1 x))) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (log1p.f64 (/.f64 1 x)) (cbrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 x))) 2) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log1p.f64 (/.f64 1 x))) (pow.f64 (cbrt.f64 n) 2)) (/.f64 (sqrt.f64 (log1p.f64 (/.f64 1 x))) (cbrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 n)) (/.f64 (log1p.f64 (/.f64 1 x)) (sqrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 x))) 2) (sqrt.f64 n)) (/.f64 (cbrt.f64 (log1p.f64 (/.f64 1 x))) (sqrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 n (log1p.f64 (/.f64 1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (log1p.f64 (/.f64 1 x)) (neg.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (log1p.f64 (/.f64 1 x)) 3) (pow.f64 n 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log1p.f64 (/.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (/.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (/.f64 1 x))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 x))) 2) (cbrt.f64 (log1p.f64 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (/.f64 1 x))) (sqrt.f64 (log1p.f64 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (/.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (/.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (/.f64 1 x))))))))

simplify39.0ms (0.2%)

Algorithm
egg-herbie
Rules
619×associate-/l*_binary64
477×times-frac_binary64
389×unswap-sqr_binary64
383×associate-*l/_binary64
314×associate-*r/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01551108
13711041
21556992
Stop Event
node limit
Counts
82 → 109
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 -1/2 (/.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 1 (/.f64 1 x))) n)
(/.f64 (log.f64 (+.f64 1 (/.f64 1 x))) n)
(/.f64 (log.f64 (+.f64 1 (/.f64 1 x))) n)
(/.f64 (log.f64 (+.f64 1 (/.f64 1 x))) n)
(/.f64 (log.f64 (+.f64 1 (/.f64 1 x))) n)
(/.f64 (log.f64 (+.f64 1 (/.f64 1 x))) n)
(/.f64 (log.f64 (+.f64 1 (/.f64 1 x))) n)
(/.f64 (log.f64 (+.f64 1 (/.f64 1 x))) n)
(/.f64 (log.f64 (+.f64 1 (/.f64 1 x))) n)
(/.f64 (log.f64 (+.f64 1 (/.f64 1 x))) n)
(/.f64 (log.f64 (+.f64 1 (/.f64 1 x))) n)
(/.f64 (log.f64 (+.f64 1 (/.f64 1 x))) n)
(*.f64 -1 (log.f64 x))
(+.f64 x (*.f64 -1 (log.f64 x)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 x (*.f64 -1 (log.f64 x))))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 x (*.f64 -1 (log.f64 x)))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 1 (/.f64 (log1p.f64 (/.f64 1 x)) n)) 1)
(*.f64 1 (/.f64 (log1p.f64 (/.f64 1 x)) n))
(*.f64 (log1p.f64 (/.f64 1 x)) (/.f64 1 n))
(*.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n) 1)
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 x))) 2) (*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 x))) (/.f64 1 n)))
(*.f64 (cbrt.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n)) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n)) 2) (cbrt.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n)))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 x))) (*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 x))) (/.f64 1 n)))
(*.f64 (sqrt.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n)) (sqrt.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n)))
(*.f64 (neg.f64 (log1p.f64 (/.f64 1 x))) (/.f64 1 (neg.f64 n)))
(*.f64 (/.f64 1 n) (log1p.f64 (/.f64 1 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 x))) 2) 1) (/.f64 (cbrt.f64 (log1p.f64 (/.f64 1 x))) n))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 (/.f64 1 x))) 1) (/.f64 (sqrt.f64 (log1p.f64 (/.f64 1 x))) n))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (log1p.f64 (/.f64 1 x)) (cbrt.f64 n)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 x))) 2) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n)))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 (/.f64 1 x))) (pow.f64 (cbrt.f64 n) 2)) (/.f64 (sqrt.f64 (log1p.f64 (/.f64 1 x))) (cbrt.f64 n)))
(*.f64 (/.f64 1 (sqrt.f64 n)) (/.f64 (log1p.f64 (/.f64 1 x)) (sqrt.f64 n)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 x))) 2) (sqrt.f64 n)) (/.f64 (cbrt.f64 (log1p.f64 (/.f64 1 x))) (sqrt.f64 n)))
(pow.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n) 1)
(pow.f64 (pow.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n)) 3)
(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n)) 2)
(pow.f64 (/.f64 n (log1p.f64 (/.f64 1 x))) -1)
(neg.f64 (/.f64 (log1p.f64 (/.f64 1 x)) (neg.f64 n)))
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n) 2))
(log.f64 (exp.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n)))
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n) 3))
(cbrt.f64 (/.f64 (pow.f64 (log1p.f64 (/.f64 1 x)) 3) (pow.f64 n 3)))
(expm1.f64 (log1p.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n)))
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n)))
(exp.f64 (log.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n)))
(-.f64 (+.f64 1 (log1p.f64 (/.f64 1 x))) 1)
(*.f64 1 (log1p.f64 (/.f64 1 x)))
(*.f64 (log1p.f64 (/.f64 1 x)) 1)
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 x))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 x))) 2) (cbrt.f64 (log1p.f64 (/.f64 1 x))))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 x))) (sqrt.f64 (log1p.f64 (/.f64 1 x))))
(pow.f64 (log1p.f64 (/.f64 1 x)) 1)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 x))) 3)
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 x))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 x)) 2))
(log.f64 (+.f64 1 (/.f64 1 x)))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 x))))
(exp.f64 (log.f64 (log1p.f64 (/.f64 1 x))))
Outputs
(*.f64 -1 (/.f64 (log.f64 x) n))
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (log.f64 x) (neg.f64 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 (*.f64 -1/2 (*.f64 x x)) n)))
(+.f64 (/.f64 x n) (-.f64 (*.f64 -1/2 (/.f64 x (/.f64 n x))) (/.f64 (log.f64 x) n)))
(-.f64 (fma.f64 -1/2 (*.f64 (/.f64 x 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 (*.f64 -1/2 (*.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) (-.f64 (fma.f64 -1/2 (*.f64 (/.f64 x n) x) (/.f64 x n)) (/.f64 (log.f64 x) n)))
(/.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 (/.f64 (/.f64 1/2 x) x) n))
(+.f64 (/.f64 1 (*.f64 x n)) (/.f64 (/.f64 -1/2 (*.f64 x 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 n (pow.f64 x 3))) (-.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/2 (*.f64 n (*.f64 x x)))))
(+.f64 (-.f64 (/.f64 1 (*.f64 x n)) (/.f64 (/.f64 (/.f64 1/2 x) x) n)) (/.f64 (/.f64 1/3 n) (pow.f64 x 3)))
(+.f64 (/.f64 1 (*.f64 x n)) (+.f64 (/.f64 1/3 (*.f64 n (pow.f64 x 3))) (/.f64 (/.f64 -1/2 (*.f64 x x)) n)))
(-.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 1/3 (*.f64 n (pow.f64 x 3))) (-.f64 (/.f64 1 (*.f64 x n)) (+.f64 (/.f64 1/2 (*.f64 n (*.f64 x x))) (/.f64 1/4 (*.f64 n (pow.f64 x 4))))))
(-.f64 (+.f64 (-.f64 (/.f64 1 (*.f64 x n)) (/.f64 (/.f64 (/.f64 1/2 x) x) n)) (/.f64 (/.f64 1/3 n) (pow.f64 x 3))) (/.f64 1/4 (*.f64 n (pow.f64 x 4))))
(+.f64 (/.f64 1 (*.f64 x n)) (+.f64 (+.f64 (/.f64 (/.f64 -1/2 (*.f64 x x)) n) (/.f64 (/.f64 -1/4 (pow.f64 x 4)) n)) (/.f64 1/3 (*.f64 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 (/.f64 (/.f64 1/2 x) x) n))
(+.f64 (/.f64 1 (*.f64 x n)) (/.f64 (/.f64 -1/2 (*.f64 x 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 n (pow.f64 x 3))) (-.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/2 (*.f64 n (*.f64 x x)))))
(+.f64 (-.f64 (/.f64 1 (*.f64 x n)) (/.f64 (/.f64 (/.f64 1/2 x) x) n)) (/.f64 (/.f64 1/3 n) (pow.f64 x 3)))
(+.f64 (/.f64 1 (*.f64 x n)) (+.f64 (/.f64 1/3 (*.f64 n (pow.f64 x 3))) (/.f64 (/.f64 -1/2 (*.f64 x x)) n)))
(-.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 1/3 (*.f64 n (pow.f64 x 3))) (-.f64 (/.f64 1 (*.f64 x n)) (+.f64 (/.f64 1/2 (*.f64 n (*.f64 x x))) (/.f64 1/4 (*.f64 n (pow.f64 x 4))))))
(-.f64 (+.f64 (-.f64 (/.f64 1 (*.f64 x n)) (/.f64 (/.f64 (/.f64 1/2 x) x) n)) (/.f64 (/.f64 1/3 n) (pow.f64 x 3))) (/.f64 1/4 (*.f64 n (pow.f64 x 4))))
(+.f64 (/.f64 1 (*.f64 x n)) (+.f64 (+.f64 (/.f64 (/.f64 -1/2 (*.f64 x x)) n) (/.f64 (/.f64 -1/4 (pow.f64 x 4)) n)) (/.f64 1/3 (*.f64 n (pow.f64 x 3)))))
(/.f64 (log.f64 (+.f64 1 (/.f64 1 x))) n)
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (log.f64 (+.f64 1 (/.f64 1 x))) n)
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (log.f64 (+.f64 1 (/.f64 1 x))) n)
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (log.f64 (+.f64 1 (/.f64 1 x))) n)
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (log.f64 (+.f64 1 (/.f64 1 x))) n)
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (log.f64 (+.f64 1 (/.f64 1 x))) n)
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (log.f64 (+.f64 1 (/.f64 1 x))) n)
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (log.f64 (+.f64 1 (/.f64 1 x))) n)
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (log.f64 (+.f64 1 (/.f64 1 x))) n)
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (log.f64 (+.f64 1 (/.f64 1 x))) n)
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (log.f64 (+.f64 1 (/.f64 1 x))) n)
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (log.f64 (+.f64 1 (/.f64 1 x))) n)
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(*.f64 -1 (log.f64 x))
(neg.f64 (log.f64 x))
(+.f64 x (*.f64 -1 (log.f64 x)))
(+.f64 x (neg.f64 (log.f64 x)))
(-.f64 x (log.f64 x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 x (*.f64 -1 (log.f64 x))))
(fma.f64 -1/2 (*.f64 x x) (+.f64 x (neg.f64 (log.f64 x))))
(fma.f64 -1/2 (*.f64 x x) (-.f64 x (log.f64 x)))
(fma.f64 x (*.f64 x -1/2) (-.f64 x (log.f64 x)))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 x (*.f64 -1 (log.f64 x)))))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (+.f64 x (neg.f64 (log.f64 x)))))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (-.f64 x (log.f64 x))))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 x (*.f64 x -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 (*.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 -1/2 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 1/3 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1/4 (pow.f64 x 4)))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 1/2 x) x) (/.f64 1/4 (pow.f64 x 4)))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (+.f64 (/.f64 -1/2 (*.f64 x x)) (/.f64 -1/4 (pow.f64 x 4)))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x)))
(+.f64 (/.f64 1 x) (/.f64 -1/2 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1/3 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))))
(+.f64 (+.f64 (/.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 -1/2 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 1/3 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1/4 (pow.f64 x 4)))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 1/2 x) x) (/.f64 1/4 (pow.f64 x 4)))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (+.f64 (/.f64 -1/2 (*.f64 x x)) (/.f64 -1/4 (pow.f64 x 4)))))
(-.f64 (+.f64 1 (/.f64 (log1p.f64 (/.f64 1 x)) n)) 1)
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(*.f64 1 (/.f64 (log1p.f64 (/.f64 1 x)) n))
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(*.f64 (log1p.f64 (/.f64 1 x)) (/.f64 1 n))
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(*.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n) 1)
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 x))) 2) (*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 x))) (/.f64 1 n)))
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(*.f64 (cbrt.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n)) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n)) 2))
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n)) 2) (cbrt.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n)))
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 x))) (*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 x))) (/.f64 1 n)))
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(*.f64 (sqrt.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n)) (sqrt.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n)))
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(*.f64 (neg.f64 (log1p.f64 (/.f64 1 x))) (/.f64 1 (neg.f64 n)))
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(*.f64 (/.f64 1 n) (log1p.f64 (/.f64 1 x)))
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 x))) 2) 1) (/.f64 (cbrt.f64 (log1p.f64 (/.f64 1 x))) n))
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 (/.f64 1 x))) 1) (/.f64 (sqrt.f64 (log1p.f64 (/.f64 1 x))) n))
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (log1p.f64 (/.f64 1 x)) (cbrt.f64 n)))
(/.f64 (/.f64 (log1p.f64 (/.f64 1 x)) (cbrt.f64 n)) (pow.f64 (cbrt.f64 n) 2))
(/.f64 (log1p.f64 (/.f64 1 x)) (*.f64 (pow.f64 (cbrt.f64 n) 2) (cbrt.f64 n)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 x))) 2) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n)))
(*.f64 (cbrt.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n)) (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 x))) 2) (pow.f64 (cbrt.f64 n) 2)))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 (/.f64 1 x))) (pow.f64 (cbrt.f64 n) 2)) (/.f64 (sqrt.f64 (log1p.f64 (/.f64 1 x))) (cbrt.f64 n)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (log1p.f64 (/.f64 1 x)) (cbrt.f64 n)))
(/.f64 (/.f64 (log1p.f64 (/.f64 1 x)) (cbrt.f64 n)) (pow.f64 (cbrt.f64 n) 2))
(/.f64 (log1p.f64 (/.f64 1 x)) (*.f64 (pow.f64 (cbrt.f64 n) 2) (cbrt.f64 n)))
(*.f64 (/.f64 1 (sqrt.f64 n)) (/.f64 (log1p.f64 (/.f64 1 x)) (sqrt.f64 n)))
(/.f64 (/.f64 (log1p.f64 (/.f64 1 x)) (sqrt.f64 n)) (sqrt.f64 n))
(/.f64 (log1p.f64 (/.f64 1 x)) (*.f64 (sqrt.f64 n) (sqrt.f64 n)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 x))) 2) (sqrt.f64 n)) (/.f64 (cbrt.f64 (log1p.f64 (/.f64 1 x))) (sqrt.f64 n)))
(*.f64 (/.f64 1 (sqrt.f64 n)) (/.f64 (log1p.f64 (/.f64 1 x)) (sqrt.f64 n)))
(/.f64 (/.f64 (log1p.f64 (/.f64 1 x)) (sqrt.f64 n)) (sqrt.f64 n))
(/.f64 (log1p.f64 (/.f64 1 x)) (*.f64 (sqrt.f64 n) (sqrt.f64 n)))
(pow.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n) 1)
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(pow.f64 (pow.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n) 3) 1/3)
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n)) 3)
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n)) 2)
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(pow.f64 (/.f64 n (log1p.f64 (/.f64 1 x))) -1)
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(neg.f64 (/.f64 (log1p.f64 (/.f64 1 x)) (neg.f64 n)))
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n) 2))
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(log.f64 (exp.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n)))
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n) 3))
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(cbrt.f64 (/.f64 (pow.f64 (log1p.f64 (/.f64 1 x)) 3) (pow.f64 n 3)))
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(expm1.f64 (log1p.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n)))
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n)))
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(exp.f64 (log.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n)))
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(-.f64 (+.f64 1 (log1p.f64 (/.f64 1 x))) 1)
(+.f64 1 (-.f64 (log1p.f64 (/.f64 1 x)) 1))
(+.f64 (log1p.f64 (/.f64 1 x)) 0)
(log1p.f64 (/.f64 1 x))
(*.f64 1 (log1p.f64 (/.f64 1 x)))
(+.f64 1 (-.f64 (log1p.f64 (/.f64 1 x)) 1))
(+.f64 (log1p.f64 (/.f64 1 x)) 0)
(log1p.f64 (/.f64 1 x))
(*.f64 (log1p.f64 (/.f64 1 x)) 1)
(+.f64 1 (-.f64 (log1p.f64 (/.f64 1 x)) 1))
(+.f64 (log1p.f64 (/.f64 1 x)) 0)
(log1p.f64 (/.f64 1 x))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 x))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 x))) 2))
(+.f64 1 (-.f64 (log1p.f64 (/.f64 1 x)) 1))
(+.f64 (log1p.f64 (/.f64 1 x)) 0)
(log1p.f64 (/.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 x))) 2) (cbrt.f64 (log1p.f64 (/.f64 1 x))))
(+.f64 1 (-.f64 (log1p.f64 (/.f64 1 x)) 1))
(+.f64 (log1p.f64 (/.f64 1 x)) 0)
(log1p.f64 (/.f64 1 x))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 x))) (sqrt.f64 (log1p.f64 (/.f64 1 x))))
(+.f64 1 (-.f64 (log1p.f64 (/.f64 1 x)) 1))
(+.f64 (log1p.f64 (/.f64 1 x)) 0)
(log1p.f64 (/.f64 1 x))
(pow.f64 (log1p.f64 (/.f64 1 x)) 1)
(+.f64 1 (-.f64 (log1p.f64 (/.f64 1 x)) 1))
(+.f64 (log1p.f64 (/.f64 1 x)) 0)
(log1p.f64 (/.f64 1 x))
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 x)) 3) 1/3)
(+.f64 1 (-.f64 (log1p.f64 (/.f64 1 x)) 1))
(+.f64 (log1p.f64 (/.f64 1 x)) 0)
(log1p.f64 (/.f64 1 x))
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 x))) 3)
(+.f64 1 (-.f64 (log1p.f64 (/.f64 1 x)) 1))
(+.f64 (log1p.f64 (/.f64 1 x)) 0)
(log1p.f64 (/.f64 1 x))
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 x))) 2)
(+.f64 1 (-.f64 (log1p.f64 (/.f64 1 x)) 1))
(+.f64 (log1p.f64 (/.f64 1 x)) 0)
(log1p.f64 (/.f64 1 x))
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 x)) 2))
(+.f64 1 (-.f64 (log1p.f64 (/.f64 1 x)) 1))
(+.f64 (log1p.f64 (/.f64 1 x)) 0)
(log1p.f64 (/.f64 1 x))
(log.f64 (+.f64 1 (/.f64 1 x)))
(+.f64 1 (-.f64 (log1p.f64 (/.f64 1 x)) 1))
(+.f64 (log1p.f64 (/.f64 1 x)) 0)
(log1p.f64 (/.f64 1 x))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 x)) 3))
(+.f64 1 (-.f64 (log1p.f64 (/.f64 1 x)) 1))
(+.f64 (log1p.f64 (/.f64 1 x)) 0)
(log1p.f64 (/.f64 1 x))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 x))))
(+.f64 1 (-.f64 (log1p.f64 (/.f64 1 x)) 1))
(+.f64 (log1p.f64 (/.f64 1 x)) 0)
(log1p.f64 (/.f64 1 x))
(exp.f64 (log.f64 (log1p.f64 (/.f64 1 x))))
(+.f64 1 (-.f64 (log1p.f64 (/.f64 1 x)) 1))
(+.f64 (log1p.f64 (/.f64 1 x)) 0)
(log1p.f64 (/.f64 1 x))

localize11.0ms (0.1%)

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)
2.8b
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
Compiler

Compiled 27 to 7 computations (74.1% saved)

series49.0ms (0.3%)

Counts
3 → 48
Calls

18 calls:

TimeVariablePointExpression
40.0ms
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))
1.0ms
x
@0
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
1.0ms
n
@inf
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
1.0ms
n
@-inf
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))

rewrite82.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
952×pow1_binary64
881×add-log-exp_binary64
881×log1p-expm1-u_binary64
881×expm1-log1p-u_binary64
861×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0828
116526
2232926
Stop Event
node limit
Counts
3 → 92
Calls
Call 1
Inputs
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
(/.f64 (log.f64 x) n)
(exp.f64 (/.f64 (log.f64 x) n))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x (/.f64 1 n)) (/.f64 (/.f64 1 x) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))) 2) (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) (*.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (/.f64 (/.f64 1 x) n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))) (sqrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (*.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (/.f64 (/.f64 1 x) n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (/.f64 1 (*.f64 n (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 n) (/.f64 (pow.f64 x (/.f64 1 n)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 x) n) (pow.f64 x (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x) (/.f64 1 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 (pow.f64 x (/.f64 1 n)) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) 1) (/.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (*.f64 x n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) 1) (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (*.f64 x n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) x) (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) x) (/.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) n) (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) n) (/.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x n)) 2)) (/.f64 (pow.f64 x (/.f64 1 n)) (cbrt.f64 (*.f64 x n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) (pow.f64 (cbrt.f64 (*.f64 x n)) 2)) (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 (cbrt.f64 (*.f64 x n)) 2)) (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (cbrt.f64 (*.f64 x n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 x n))) (/.f64 (pow.f64 x (/.f64 1 n)) (sqrt.f64 (*.f64 x n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) (sqrt.f64 (*.f64 x n))) (/.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (sqrt.f64 (*.f64 x n))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 n (/.f64 (pow.f64 x (/.f64 1 n)) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 n (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (pow.f64 x (/.f64 1 n)) 3) (pow.f64 (*.f64 x n) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (/.f64 (log.f64 x) n) (log.f64 (*.f64 x 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 (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 (+.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 (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 (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 (sqrt.f64 (/.f64 (log.f64 x) n)) (sqrt.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 (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 cbrt.f64 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 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))))))))

simplify71.0ms (0.4%)

Algorithm
egg-herbie
Rules
346×associate-/l/_binary64
248×fma-neg_binary64
225×associate-/r/_binary64
191×cube-prod_binary64
188×log-pow_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02502098
16141747
224781745
378351745
Stop Event
node limit
Counts
140 → 141
Calls
Call 1
Inputs
(/.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 (/.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))))))
(-.f64 (+.f64 1 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))) 1)
(*.f64 (pow.f64 x (/.f64 1 n)) (/.f64 (/.f64 1 x) n))
(*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) 1)
(*.f64 1 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))) 2) (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) (*.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (/.f64 (/.f64 1 x) n)))
(*.f64 (sqrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))) (sqrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))))
(*.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (*.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (/.f64 (/.f64 1 x) n)))
(*.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (/.f64 1 (*.f64 n (neg.f64 x))))
(*.f64 (/.f64 1 n) (/.f64 (pow.f64 x (/.f64 1 n)) x))
(*.f64 (/.f64 (/.f64 1 x) n) (pow.f64 x (/.f64 1 n)))
(*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x) (/.f64 1 n))
(*.f64 (/.f64 1 x) (/.f64 (pow.f64 x (/.f64 1 n)) n))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) 1) (/.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (*.f64 x n)))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) 1) (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (*.f64 x n)))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) x) (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) n))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) x) (/.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) n))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) n) (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) n) (/.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x n)) 2)) (/.f64 (pow.f64 x (/.f64 1 n)) (cbrt.f64 (*.f64 x n))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) (pow.f64 (cbrt.f64 (*.f64 x n)) 2)) (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 (cbrt.f64 (*.f64 x n)) 2)) (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (cbrt.f64 (*.f64 x n))))
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 x n))) (/.f64 (pow.f64 x (/.f64 1 n)) (sqrt.f64 (*.f64 x n))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) (sqrt.f64 (*.f64 x n))) (/.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (sqrt.f64 (*.f64 x n))))
(pow.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) 1)
(pow.f64 (pow.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))) 3)
(pow.f64 (sqrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))) 2)
(pow.f64 (/.f64 n (/.f64 (pow.f64 x (/.f64 1 n)) x)) -1)
(neg.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 n (neg.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) 2))
(log.f64 (exp.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) 3))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 x (/.f64 1 n)) 3) (pow.f64 (*.f64 x n) 3)))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))))
(exp.f64 (-.f64 (/.f64 (log.f64 x) n) (log.f64 (*.f64 x n))))
(+.f64 0 (/.f64 (log.f64 x) n))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2)) (log.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (log.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n)))))
(-.f64 (+.f64 1 (/.f64 (log.f64 x) n)) 1)
(*.f64 (log.f64 x) (/.f64 1 n))
(*.f64 (/.f64 (log.f64 x) n) 1)
(*.f64 1 (/.f64 (log.f64 x) n))
(*.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) (pow.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) 2) (cbrt.f64 (/.f64 (log.f64 x) n)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) (/.f64 1 n)))
(*.f64 (sqrt.f64 (/.f64 (log.f64 x) n)) (sqrt.f64 (/.f64 (log.f64 x) n)))
(*.f64 (sqrt.f64 (log.f64 x)) (*.f64 (sqrt.f64 (log.f64 x)) (/.f64 1 n)))
(*.f64 (neg.f64 (log.f64 x)) (/.f64 1 (neg.f64 n)))
(*.f64 (/.f64 1 n) (log.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) 1) (/.f64 (cbrt.f64 (log.f64 x)) n))
(*.f64 (/.f64 (sqrt.f64 (log.f64 x)) 1) (/.f64 (sqrt.f64 (log.f64 x)) n))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (log.f64 x) (cbrt.f64 n)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 (/.f64 (log.f64 x) n)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 n) 2)) (/.f64 (sqrt.f64 (log.f64 x)) (cbrt.f64 n)))
(*.f64 (/.f64 1 (sqrt.f64 n)) (/.f64 (log.f64 x) (sqrt.f64 n)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (sqrt.f64 n)) (/.f64 (cbrt.f64 (log.f64 x)) (sqrt.f64 n)))
(pow.f64 (/.f64 (log.f64 x) n) 1)
(pow.f64 (pow.f64 (/.f64 (log.f64 x) n) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) 3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 x) n)) 2)
(pow.f64 (/.f64 n (log.f64 x)) -1)
(neg.f64 (/.f64 (log.f64 x) (neg.f64 n)))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 x) n) 2))
(log.f64 (pow.f64 x (/.f64 1 n)))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 x) n) 3))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 x) n)))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 x) n)))
(exp.f64 (log.f64 (/.f64 (log.f64 x) n)))
(+.f64 1 (expm1.f64 (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 1 (pow.f64 x (/.f64 1 n))) 1)
(*.f64 (pow.f64 x (/.f64 1 n)) 1)
(*.f64 1 (pow.f64 x (/.f64 1 n)))
(*.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) (cbrt.f64 (pow.f64 x (/.f64 1 n))))
(*.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (sqrt.f64 (pow.f64 x (/.f64 1 n))))
(pow.f64 x (/.f64 1 n))
(pow.f64 (pow.f64 x (/.f64 1 n)) 1)
(pow.f64 (pow.f64 (pow.f64 x (/.f64 1 n)) 3) 1/3)
(pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 3)
(pow.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) 2)
(pow.f64 (exp.f64 (sqrt.f64 (/.f64 (log.f64 x) n))) (sqrt.f64 (/.f64 (log.f64 x) n)))
(pow.f64 (exp.f64 1) (/.f64 (log.f64 x) n))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) 2)) (cbrt.f64 (/.f64 (log.f64 x) n)))
(sqrt.f64 (pow.f64 (pow.f64 x (/.f64 1 n)) 2))
(log.f64 (exp.f64 (pow.f64 x (/.f64 1 n))))
(cbrt.f64 (pow.f64 (pow.f64 x (/.f64 1 n)) 3))
(expm1.f64 (log1p.f64 (pow.f64 x (/.f64 1 n))))
(log1p.f64 (expm1.f64 (pow.f64 x (/.f64 1 n))))
Outputs
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
(/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
(/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
(/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
(/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
(/.f64 (pow.f64 x (/.f64 1 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 (/.f64 (log.f64 x) n)) (*.f64 x n))
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 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 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 (pow.f64 (/.f64 (log.f64 x) n) 2) (*.f64 x n)) (+.f64 (/.f64 (/.f64 (log.f64 x) (*.f64 n n)) x) (/.f64 1 (*.f64 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)))))
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(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
(exp.f64 (-.f64 (/.f64 (log.f64 x) n) (log.f64 (*.f64 x n))))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
(+.f64 0 (/.f64 (log.f64 x) n))
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))
(/.f64 (log.f64 x) n)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2)) (log.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))))
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))
(/.f64 (log.f64 x) n)
(+.f64 (log.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (log.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n)))))
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))
(/.f64 (log.f64 x) n)
(-.f64 (+.f64 1 (/.f64 (log.f64 x) n)) 1)
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))
(/.f64 (log.f64 x) n)
(*.f64 (log.f64 x) (/.f64 1 n))
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))
(/.f64 (log.f64 x) n)
(*.f64 (/.f64 (log.f64 x) n) 1)
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))
(/.f64 (log.f64 x) n)
(*.f64 1 (/.f64 (log.f64 x) n))
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))
(/.f64 (log.f64 x) n)
(*.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) (pow.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) 2))
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))
(/.f64 (log.f64 x) n)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) 2) (cbrt.f64 (/.f64 (log.f64 x) n)))
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))
(/.f64 (log.f64 x) n)
(*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) (/.f64 1 n)))
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))
(/.f64 (log.f64 x) n)
(*.f64 (sqrt.f64 (/.f64 (log.f64 x) n)) (sqrt.f64 (/.f64 (log.f64 x) n)))
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))
(/.f64 (log.f64 x) n)
(*.f64 (sqrt.f64 (log.f64 x)) (*.f64 (sqrt.f64 (log.f64 x)) (/.f64 1 n)))
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))
(/.f64 (log.f64 x) n)
(*.f64 (neg.f64 (log.f64 x)) (/.f64 1 (neg.f64 n)))
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))
(/.f64 (log.f64 x) n)
(*.f64 (/.f64 1 n) (log.f64 x))
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))
(/.f64 (log.f64 x) n)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) 1) (/.f64 (cbrt.f64 (log.f64 x)) n))
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))
(/.f64 (log.f64 x) n)
(*.f64 (/.f64 (sqrt.f64 (log.f64 x)) 1) (/.f64 (sqrt.f64 (log.f64 x)) n))
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))
(/.f64 (log.f64 x) n)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (log.f64 x) (cbrt.f64 n)))
(/.f64 (/.f64 (log.f64 x) (cbrt.f64 n)) (pow.f64 (cbrt.f64 n) 2))
(/.f64 (log.f64 x) (*.f64 (pow.f64 (cbrt.f64 n) 2) (cbrt.f64 n)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 (/.f64 (log.f64 x) n)))
(*.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (pow.f64 (cbrt.f64 n) 2)))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (pow.f64 (cbrt.f64 n) 2))
(*.f64 (/.f64 (sqrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 n) 2)) (/.f64 (sqrt.f64 (log.f64 x)) (cbrt.f64 n)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (log.f64 x) (cbrt.f64 n)))
(/.f64 (/.f64 (log.f64 x) (cbrt.f64 n)) (pow.f64 (cbrt.f64 n) 2))
(/.f64 (log.f64 x) (*.f64 (pow.f64 (cbrt.f64 n) 2) (cbrt.f64 n)))
(*.f64 (/.f64 1 (sqrt.f64 n)) (/.f64 (log.f64 x) (sqrt.f64 n)))
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))
(/.f64 (log.f64 x) n)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (sqrt.f64 n)) (/.f64 (cbrt.f64 (log.f64 x)) (sqrt.f64 n)))
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))
(/.f64 (log.f64 x) n)
(pow.f64 (/.f64 (log.f64 x) n) 1)
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))
(/.f64 (log.f64 x) n)
(pow.f64 (pow.f64 (/.f64 (log.f64 x) n) 3) 1/3)
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))
(/.f64 (log.f64 x) n)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) 3)
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))
(/.f64 (log.f64 x) n)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 x) n)) 2)
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))
(/.f64 (log.f64 x) n)
(pow.f64 (/.f64 n (log.f64 x)) -1)
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))
(/.f64 (log.f64 x) n)
(neg.f64 (/.f64 (log.f64 x) (neg.f64 n)))
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))
(/.f64 (log.f64 x) n)
(sqrt.f64 (pow.f64 (/.f64 (log.f64 x) n) 2))
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))
(/.f64 (log.f64 x) n)
(log.f64 (pow.f64 x (/.f64 1 n)))
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))
(/.f64 (log.f64 x) n)
(cbrt.f64 (pow.f64 (/.f64 (log.f64 x) n) 3))
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))
(/.f64 (log.f64 x) n)
(cbrt.f64 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))
(/.f64 (log.f64 x) n)
(expm1.f64 (log1p.f64 (/.f64 (log.f64 x) n)))
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))
(/.f64 (log.f64 x) n)
(log1p.f64 (expm1.f64 (/.f64 (log.f64 x) n)))
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))
(/.f64 (log.f64 x) n)
(exp.f64 (log.f64 (/.f64 (log.f64 x) n)))
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))
(/.f64 (log.f64 x) n)
(+.f64 1 (expm1.f64 (/.f64 (log.f64 x) n)))
(exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)))
(pow.f64 x (/.f64 1 n))
(-.f64 (+.f64 1 (pow.f64 x (/.f64 1 n))) 1)
(exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)))
(pow.f64 x (/.f64 1 n))
(*.f64 (pow.f64 x (/.f64 1 n)) 1)
(exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)))
(pow.f64 x (/.f64 1 n))
(*.f64 1 (pow.f64 x (/.f64 1 n)))
(exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)))
(pow.f64 x (/.f64 1 n))
(*.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2))
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(pow.f64 x (/.f64 1 n))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) (cbrt.f64 (pow.f64 x (/.f64 1 n))))
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(*.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (sqrt.f64 (pow.f64 x (/.f64 1 n))))
(exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)))
(pow.f64 x (/.f64 1 n))
(pow.f64 x (/.f64 1 n))
(exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)))
(pow.f64 (pow.f64 x (/.f64 1 n)) 1)
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(pow.f64 x (/.f64 1 n))
(pow.f64 (pow.f64 (pow.f64 x (/.f64 1 n)) 3) 1/3)
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(pow.f64 x (/.f64 1 n))
(pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 3)
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(pow.f64 x (/.f64 1 n))
(pow.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) 2)
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(pow.f64 (exp.f64 (sqrt.f64 (/.f64 (log.f64 x) n))) (sqrt.f64 (/.f64 (log.f64 x) n)))
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(pow.f64 (exp.f64 1) (/.f64 (log.f64 x) n))
(exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)))
(pow.f64 x (/.f64 1 n))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) 2)) (cbrt.f64 (/.f64 (log.f64 x) n)))
(exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)))
(pow.f64 x (/.f64 1 n))
(sqrt.f64 (pow.f64 (pow.f64 x (/.f64 1 n)) 2))
(exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)))
(pow.f64 x (/.f64 1 n))
(log.f64 (exp.f64 (pow.f64 x (/.f64 1 n))))
(exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)))
(pow.f64 x (/.f64 1 n))
(cbrt.f64 (pow.f64 (pow.f64 x (/.f64 1 n)) 3))
(exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)))
(pow.f64 x (/.f64 1 n))
(expm1.f64 (log1p.f64 (pow.f64 x (/.f64 1 n))))
(exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)))
(pow.f64 x (/.f64 1 n))
(log1p.f64 (expm1.f64 (pow.f64 x (/.f64 1 n))))
(exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)))
(pow.f64 x (/.f64 1 n))

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(exp.f64 (/.f64 (log1p.f64 x) n))
0.0b
(pow.f64 x (/.f64 1 n))
0.1b
(/.f64 (log1p.f64 x) n)
1.9b
(-.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3)) 3)) (pow.f64 x (/.f64 1 n)))
Compiler

Compiled 78 to 38 computations (51.3% saved)

series3.0ms (0%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
(-.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3)) 3)) (pow.f64 x (/.f64 1 n)))
0.0ms
x
@inf
(-.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3)) 3)) (pow.f64 x (/.f64 1 n)))
0.0ms
n
@-inf
(-.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3)) 3)) (pow.f64 x (/.f64 1 n)))
0.0ms
x
@0
(-.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3)) 3)) (pow.f64 x (/.f64 1 n)))
0.0ms
n
@inf
(-.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3)) 3)) (pow.f64 x (/.f64 1 n)))

rewrite75.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
572×log-prod_binary64
510×prod-diff_binary64
313×pow2_binary64
290×fma-def_binary64
233×pow-unpow_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01517
132117
2333117
Stop Event
node limit
Counts
1 → 109
Calls
Call 1
Inputs
(-.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3)) 3)) (pow.f64 x (/.f64 1 n)))
Outputs
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simplify85.0ms (0.5%)

Algorithm
egg-herbie
Rules
598×times-frac_binary64
523×associate-/l*_binary64
313×cancel-sign-sub-inv_binary64
308×fma-neg_binary64
284×distribute-rgt-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03764348
110194038
231903778
Stop Event
node limit
Counts
133 → 189
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 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 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))))
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(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 (pow.f64 x (/.f64 1 n))) 1 (pow.f64 x (/.f64 1 n))))
(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))))
(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)))) (+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 1 n))))
(fma.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) 2) (neg.f64 (pow.f64 x (/.f64 1 n))))
(fma.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) 2) (*.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) 2) (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (neg.f64 (pow.f64 x (/.f64 1 n))))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) 2) (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (*.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) (neg.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))) (exp.f64 (/.f64 (log1p.f64 x) n)))
(fma.f64 (sqrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) (sqrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) (fma.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1 (pow.f64 x (/.f64 1 n))))
(fma.f64 (sqrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) (sqrt.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))))
(fma.f64 (sqrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) (sqrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) (+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 1 n))))
(fma.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (neg.f64 (pow.f64 x (/.f64 1 n))))
(fma.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (*.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1))
(fma.f64 -1 (pow.f64 x (/.f64 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n)))
(fma.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (*.f64 (/.f64 1 n) 3))) (/.f64 1 (fma.f64 (pow.f64 x (/.f64 1 n)) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2))) (fma.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1 (pow.f64 x (/.f64 1 n))))
(fma.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (*.f64 (/.f64 1 n) 3))) (/.f64 1 (fma.f64 (pow.f64 x (/.f64 1 n)) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2))) (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))))
(fma.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (*.f64 (/.f64 1 n) 3))) (/.f64 1 (fma.f64 (pow.f64 x (/.f64 1 n)) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2))) (+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 1 n))))
(fma.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (pow.f64 x (*.f64 2 (/.f64 1 n)))) (/.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) (fma.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1 (pow.f64 x (/.f64 1 n))))
(fma.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (pow.f64 x (*.f64 2 (/.f64 1 n)))) (/.f64 1 (+.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))))
(fma.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (pow.f64 x (*.f64 2 (/.f64 1 n)))) (/.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) (+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 1 n))))
(fma.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (neg.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (exp.f64 (/.f64 (log1p.f64 x) n)))
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (pow.f64 x (/.f64 1 n)))) 2) (cbrt.f64 (neg.f64 (pow.f64 x (/.f64 1 n)))) (exp.f64 (/.f64 (log1p.f64 x) n)))
(fma.f64 (sqrt.f64 (neg.f64 (pow.f64 x (/.f64 1 n)))) (sqrt.f64 (neg.f64 (pow.f64 x (/.f64 1 n)))) (exp.f64 (/.f64 (log1p.f64 x) n)))
(fma.f64 (neg.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (sqrt.f64 (pow.f64 x (/.f64 1 n))) (exp.f64 (/.f64 (log1p.f64 x) n)))
(fma.f64 (pow.f64 1 1/3) (exp.f64 (/.f64 (log1p.f64 x) n)) (neg.f64 (pow.f64 x (/.f64 1 n))))
(fma.f64 (pow.f64 1 1/3) (exp.f64 (/.f64 (log1p.f64 x) n)) (*.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1))
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (-.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (fma.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1 (pow.f64 x (/.f64 1 n))))
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (-.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))) (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) (pow.f64 x (/.f64 1 n))))
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (-.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 1 n))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2)) (cbrt.f64 (pow.f64 x (/.f64 1 n))) (exp.f64 (/.f64 (log1p.f64 x) n)))
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 (/.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))))) (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 1 (/.f64 x n)) (*.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 1/6 (pow.f64 n 3)) (+.f64 (/.f64 1/3 n) (/.f64 -1/2 (*.f64 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 (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))) (*.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 (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 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 (*.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 (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 n)) (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3)) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (+.f64 (/.f64 1/3 n) (/.f64 -1/2 (*.f64 n n)))))))
(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x x)) (+.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (/.f64 (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 (/.f64 -1/2 n) n))) x))))
(+.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 (/.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 (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 (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 n)) (+.f64 (*.f64 (/.f64 (+.f64 (/.f64 11/24 (*.f64 n n)) (-.f64 (/.f64 1/24 (pow.f64 n 4)) (+.f64 (/.f64 1/4 (pow.f64 n 3)) (/.f64 1/4 n)))) (pow.f64 x 4)) (exp.f64 (/.f64 (log.f64 x) n))) (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3)) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (+.f64 (/.f64 1/3 n) (/.f64 -1/2 (*.f64 n n))))))))
(+.f64 (+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x 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 (/.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 (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)))
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(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)))) (+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 1 n))))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
(fma.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) 2) (neg.f64 (pow.f64 x (/.f64 1 n))))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
(fma.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) 2) (*.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) 2) (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (neg.f64 (pow.f64 x (/.f64 1 n))))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) 2) (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (*.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) (neg.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))) (exp.f64 (/.f64 (log1p.f64 x) n)))
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(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
(fma.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (*.f64 (/.f64 1 n) 3))) (/.f64 1 (fma.f64 (pow.f64 x (/.f64 1 n)) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2))) (fma.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1 (pow.f64 x (/.f64 1 n))))
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(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n))) (fma.f64 (pow.f64 x (/.f64 1 n)) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2)))
(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n))) (+.f64 (pow.f64 x (/.f64 2 n)) (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))))
(fma.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (*.f64 (/.f64 1 n) 3))) (/.f64 1 (fma.f64 (pow.f64 x (/.f64 1 n)) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2))) (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 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n))) (/.f64 1 (fma.f64 (pow.f64 x (/.f64 1 n)) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n))) (fma.f64 (pow.f64 x (/.f64 1 n)) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2)))
(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n))) (+.f64 (pow.f64 x (/.f64 2 n)) (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))))
(fma.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (*.f64 (/.f64 1 n) 3))) (/.f64 1 (fma.f64 (pow.f64 x (/.f64 1 n)) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2))) (+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 1 n))))
(*.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n))) (/.f64 1 (fma.f64 (pow.f64 x (/.f64 1 n)) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n))) (fma.f64 (pow.f64 x (/.f64 1 n)) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2)))
(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n))) (+.f64 (pow.f64 x (/.f64 2 n)) (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))))
(fma.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (pow.f64 x (*.f64 2 (/.f64 1 n)))) (/.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) (fma.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1 (pow.f64 x (/.f64 1 n))))
(*.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (pow.f64 x (/.f64 2 n))) (/.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (pow.f64 x (/.f64 2 n))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
(fma.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (pow.f64 x (*.f64 2 (/.f64 1 n)))) (/.f64 1 (+.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 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (pow.f64 x (/.f64 2 n))) (/.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (pow.f64 x (/.f64 2 n))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
(fma.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (pow.f64 x (*.f64 2 (/.f64 1 n)))) (/.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) (+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 1 n))))
(*.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (pow.f64 x (/.f64 2 n))) (/.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (pow.f64 x (/.f64 2 n))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
(fma.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (neg.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (exp.f64 (/.f64 (log1p.f64 x) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (pow.f64 x (/.f64 1 n)))) 2) (cbrt.f64 (neg.f64 (pow.f64 x (/.f64 1 n)))) (exp.f64 (/.f64 (log1p.f64 x) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
(fma.f64 (sqrt.f64 (neg.f64 (pow.f64 x (/.f64 1 n)))) (sqrt.f64 (neg.f64 (pow.f64 x (/.f64 1 n)))) (exp.f64 (/.f64 (log1p.f64 x) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
(fma.f64 (neg.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (sqrt.f64 (pow.f64 x (/.f64 1 n))) (exp.f64 (/.f64 (log1p.f64 x) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
(fma.f64 (pow.f64 1 1/3) (exp.f64 (/.f64 (log1p.f64 x) n)) (neg.f64 (pow.f64 x (/.f64 1 n))))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
(fma.f64 (pow.f64 1 1/3) (exp.f64 (/.f64 (log1p.f64 x) n)) (*.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (-.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (fma.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1 (pow.f64 x (/.f64 1 n))))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (-.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))) (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) (pow.f64 x (/.f64 1 n))))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (-.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 1 n))))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2)) (cbrt.f64 (pow.f64 x (/.f64 1 n))) (exp.f64 (/.f64 (log1p.f64 x) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))

eval361.0ms (2%)

Compiler

Compiled 20210 to 11799 computations (41.6% saved)

prune199.0ms (1.1%)

Pruning

47 alts after pruning (41 fresh and 6 done)

PrunedKeptTotal
New84519864
Fresh52227
Picked101
Done167
Total85247899
Error
0.0b
Counts
899 → 47
Alt Table
Click to see full alt table
StatusErrorProgram
30.8b
(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))))
61.9b
(fma.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (*.f64 x x) (/.f64 x n))
20.3b
(pow.f64 (/.f64 n (log1p.f64 (/.f64 1 x))) -1)
20.7b
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n)) 3)
55.5b
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))) (pow.f64 x (/.f64 1 n)))) 3)
20.2b
(/.f64 (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 x))) 2) n)
53.8b
(/.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 (log.f64 x) n))) (sqrt.f64 (/.f64 (log.f64 x) n))) (*.f64 x n))
27.0b
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 (cbrt.f64 (*.f64 x n)) (pow.f64 (cbrt.f64 (*.f64 x n)) 2)))
26.8b
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
40.0b
(/.f64 (/.f64 1 x) n)
40.0b
(/.f64 (/.f64 1 n) x)
52.2b
(/.f64 (-.f64 (pow.f64 (exp.f64 2) (/.f64 (log1p.f64 x) n)) (pow.f64 (*.f64 x x) (/.f64 1 n))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
41.0b
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n)
26.8b
(/.f64 (-.f64 (+.f64 1 (pow.f64 x (/.f64 1 n))) 1) (*.f64 x n))
17.5b
(/.f64 (*.f64 3 (log.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)))) n)
42.0b
(/.f64 (neg.f64 (log.f64 x)) n)
20.6b
(/.f64 (log1p.f64 (/.f64 1 x)) (*.f64 (pow.f64 (cbrt.f64 n) 2) (cbrt.f64 n)))
20.1b
(/.f64 (log1p.f64 (/.f64 1 x)) n)
37.5b
(/.f64 (log.f64 1) n)
20.4b
(/.f64 (expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 x)))) n)
26.8b
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
42.1b
(/.f64 (cbrt.f64 (pow.f64 (neg.f64 (log.f64 x)) 3)) n)
61.1b
(/.f64 x n)
40.2b
(/.f64 1 (*.f64 x n))
30.8b
(-.f64 (pow.f64 (pow.f64 (E.f64) (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2))) (cbrt.f64 (/.f64 (log1p.f64 x) n))) (pow.f64 x (/.f64 1 n)))
41.0b
(-.f64 (/.f64 (/.f64 1 x) n) (/.f64 (/.f64 (/.f64 1/2 x) x) n))
42.1b
(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n))
50.4b
(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))
56.5b
(-.f64 (+.f64 (/.f64 x n) 1) 1)
50.6b
(-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (*.f64 1/2 (/.f64 (/.f64 x (/.f64 n x)) n))) (pow.f64 x (/.f64 1 n)))
43.2b
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1)
36.8b
(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))
30.8b
(-.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (E.f64) (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2))) (cbrt.f64 (/.f64 (log1p.f64 x) n))) 3)) (pow.f64 x (/.f64 1 n)))
30.8b
(-.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (E.f64) (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2))) (cbrt.f64 (/.f64 (log1p.f64 x) n))) 3)) 3)) (pow.f64 x (/.f64 1 n)))
50.1b
(-.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3)) 3)) 1)
44.3b
(-.f64 1 (pow.f64 x (/.f64 1 n)))
40.7b
(+.f64 (/.f64 (/.f64 1 n) x) (-.f64 (/.f64 1/3 (*.f64 (pow.f64 x 3) n)) (/.f64 1/2 (*.f64 x (*.f64 x n)))))
61.9b
(+.f64 (/.f64 x n) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x)))
26.7b
(*.f64 (pow.f64 x (/.f64 1 n)) (/.f64 (/.f64 1 x) n))
27.0b
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x n)) 2)) (/.f64 (pow.f64 x (/.f64 1 n)) (cbrt.f64 (*.f64 x n))))
40.1b
(*.f64 (/.f64 1 x) (/.f64 1 n))
42.1b
(*.f64 (/.f64 1 n) (-.f64 x (log.f64 x)))
42.0b
(*.f64 (/.f64 1 n) (neg.f64 (log.f64 x)))
17.8b
(*.f64 (/.f64 1 n) (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))))
17.8b
(*.f64 (/.f64 1 n) (exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))))
60.1b
(expm1.f64 (/.f64 (log1p.f64 x) n))
51.2b
(cbrt.f64 (pow.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)) 3))
Compiler

Compiled 679 to 473 computations (30.3% saved)

regimes332.0ms (1.8%)

Counts
71 → 3
Calls
Call 1
Inputs
(/.f64 x n)
(/.f64 1 (*.f64 x n))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(*.f64 (/.f64 1 x) (/.f64 1 n))
(-.f64 (+.f64 (/.f64 x n) 1) 1)
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1)
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n)
(-.f64 (/.f64 (/.f64 1 x) n) (/.f64 (/.f64 (/.f64 1/2 x) x) n))
(+.f64 (/.f64 x n) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x)))
(/.f64 (log.f64 1) n)
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
(*.f64 (log.f64 x) (/.f64 1 (neg.f64 n)))
(*.f64 (/.f64 1 n) (neg.f64 (log.f64 x)))
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(*.f64 (/.f64 1 n) (-.f64 x (log.f64 x)))
(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n))
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) 1)
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
(*.f64 (pow.f64 x (/.f64 1 n)) (/.f64 (/.f64 1 x) n))
(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))
(/.f64 (-.f64 (+.f64 1 (pow.f64 x (/.f64 1 n))) 1) (*.f64 x n))
(fma.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (*.f64 x x) (/.f64 x n))
(/.f64 (+.f64 (/.f64 1 x) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 1/2 (*.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 1/2 (/.f64 (/.f64 x (/.f64 n x)) n))) (pow.f64 x (/.f64 1 n)))
(-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) (pow.f64 x (/.f64 1 n)))
(expm1.f64 (/.f64 (log1p.f64 x) n))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(pow.f64 (/.f64 n (log1p.f64 (/.f64 1 x))) -1)
(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x)))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))
(/.f64 (*.f64 3 (log.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)))) n)
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
(/.f64 (cbrt.f64 (pow.f64 (neg.f64 (log.f64 x)) 3)) n)
(/.f64 (expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 x)))) n)
(/.f64 (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 x))) 2) n)
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n)) 3)
(pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1)
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
(cbrt.f64 (pow.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)) 3))
(/.f64 (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n)
(/.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3)) n)
(*.f64 (/.f64 1 n) (exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))))
(*.f64 (/.f64 1 n) (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))))
(/.f64 (pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3) 1/3) n)
(/.f64 (log1p.f64 (/.f64 1 x)) (*.f64 (pow.f64 (cbrt.f64 n) 2) (cbrt.f64 n)))
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 (cbrt.f64 (*.f64 x n)) (pow.f64 (cbrt.f64 (*.f64 x n)) 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x n)) 2)) (/.f64 (pow.f64 x (/.f64 1 n)) (cbrt.f64 (*.f64 x n))))
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))) (pow.f64 x (/.f64 1 n)))) 3)
(+.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 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3)) (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)
(-.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3)) 3)) 1)
(/.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 (log.f64 x) n))) (sqrt.f64 (/.f64 (log.f64 x) n))) (*.f64 x n))
(-.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3)) 3)) (pow.f64 x (/.f64 1 n)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 2)) (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))
(*.f64 (cbrt.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n)) (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 x))) 2) (pow.f64 (cbrt.f64 n) 2)))
(/.f64 (-.f64 (pow.f64 (exp.f64 2) (/.f64 (log1p.f64 x) n)) (pow.f64 (*.f64 x x) (/.f64 1 n))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
(-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (/.f64 (log1p.f64 x) n)) (+.f64 (/.f64 (log.f64 x) n) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)))))
(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) (+.f64 (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x x)) (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n))) (/.f64 (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n)))) (/.f64 (pow.f64 x 3) (exp.f64 (/.f64 (log.f64 x) n))))))
(-.f64 (pow.f64 (pow.f64 (E.f64) (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2))) (cbrt.f64 (/.f64 (log1p.f64 x) n))) (pow.f64 x (/.f64 1 n)))
(*.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 (/.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))))) n)
(-.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (E.f64) (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2))) (cbrt.f64 (/.f64 (log1p.f64 x) n))) 3)) (pow.f64 x (/.f64 1 n)))
(-.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (E.f64) (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2))) (cbrt.f64 (/.f64 (log1p.f64 x) n))) 3)) 3)) (pow.f64 x (/.f64 1 n)))
(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))))
Outputs
(*.f64 (pow.f64 x (/.f64 1 n)) (/.f64 (/.f64 1 x) n))
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(-.f64 (pow.f64 (pow.f64 (E.f64) (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2))) (cbrt.f64 (/.f64 (log1p.f64 x) n))) (pow.f64 x (/.f64 1 n)))
Calls

4 calls:

140.0ms
x
82.0ms
(/.f64 1 n)
80.0ms
n
8.0ms
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
Results
ErrorSegmentsBranch
5.6b4x
0.8b3n
11.1b2(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
0.6b3(/.f64 1 n)
Compiler

Compiled 1009 to 519 computations (48.6% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.18552706932728985
2710273211523547.0
0.0ms
-2.9597288195421254e-17
-1.8573994427429478e-27
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes441.0ms (2.4%)

Counts
65 → 3
Calls
Call 1
Inputs
(/.f64 x n)
(/.f64 1 (*.f64 x n))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(*.f64 (/.f64 1 x) (/.f64 1 n))
(-.f64 (+.f64 (/.f64 x n) 1) 1)
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1)
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n)
(-.f64 (/.f64 (/.f64 1 x) n) (/.f64 (/.f64 (/.f64 1/2 x) x) n))
(+.f64 (/.f64 x n) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x)))
(/.f64 (log.f64 1) n)
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
(*.f64 (log.f64 x) (/.f64 1 (neg.f64 n)))
(*.f64 (/.f64 1 n) (neg.f64 (log.f64 x)))
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(*.f64 (/.f64 1 n) (-.f64 x (log.f64 x)))
(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n))
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) 1)
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
(*.f64 (pow.f64 x (/.f64 1 n)) (/.f64 (/.f64 1 x) n))
(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))
(/.f64 (-.f64 (+.f64 1 (pow.f64 x (/.f64 1 n))) 1) (*.f64 x n))
(fma.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (*.f64 x x) (/.f64 x n))
(/.f64 (+.f64 (/.f64 1 x) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 1/2 (*.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 1/2 (/.f64 (/.f64 x (/.f64 n x)) n))) (pow.f64 x (/.f64 1 n)))
(-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) (pow.f64 x (/.f64 1 n)))
(expm1.f64 (/.f64 (log1p.f64 x) n))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(pow.f64 (/.f64 n (log1p.f64 (/.f64 1 x))) -1)
(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x)))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))
(/.f64 (*.f64 3 (log.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)))) n)
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
(/.f64 (cbrt.f64 (pow.f64 (neg.f64 (log.f64 x)) 3)) n)
(/.f64 (expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 x)))) n)
(/.f64 (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 x))) 2) n)
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n)) 3)
(pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1)
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
(cbrt.f64 (pow.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)) 3))
(/.f64 (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n)
(/.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3)) n)
(*.f64 (/.f64 1 n) (exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))))
(*.f64 (/.f64 1 n) (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))))
(/.f64 (pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3) 1/3) n)
(/.f64 (log1p.f64 (/.f64 1 x)) (*.f64 (pow.f64 (cbrt.f64 n) 2) (cbrt.f64 n)))
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 (cbrt.f64 (*.f64 x n)) (pow.f64 (cbrt.f64 (*.f64 x n)) 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x n)) 2)) (/.f64 (pow.f64 x (/.f64 1 n)) (cbrt.f64 (*.f64 x n))))
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))) (pow.f64 x (/.f64 1 n)))) 3)
(+.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 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3)) (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)
(-.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3)) 3)) 1)
(/.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 (log.f64 x) n))) (sqrt.f64 (/.f64 (log.f64 x) n))) (*.f64 x n))
(-.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3)) 3)) (pow.f64 x (/.f64 1 n)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 2)) (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))
(*.f64 (cbrt.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n)) (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 x))) 2) (pow.f64 (cbrt.f64 n) 2)))
(/.f64 (-.f64 (pow.f64 (exp.f64 2) (/.f64 (log1p.f64 x) n)) (pow.f64 (*.f64 x x) (/.f64 1 n))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
(-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (/.f64 (log1p.f64 x) n)) (+.f64 (/.f64 (log.f64 x) n) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)))))
(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) (+.f64 (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x x)) (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n))) (/.f64 (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n)))) (/.f64 (pow.f64 x 3) (exp.f64 (/.f64 (log.f64 x) n))))))
Outputs
(*.f64 (pow.f64 x (/.f64 1 n)) (/.f64 (/.f64 1 x) n))
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))
Calls

4 calls:

162.0ms
x
140.0ms
(/.f64 1 n)
89.0ms
n
31.0ms
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
Results
ErrorSegmentsBranch
5.6b4x
0.8b3n
11.1b2(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
0.7b3(/.f64 1 n)
Compiler

Compiled 842 to 434 computations (48.5% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.18552706932728985
2710273211523547.0
0.0ms
-2.9597288195421254e-17
-1.8573994427429478e-27
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes190.0ms (1%)

Counts
35 → 3
Calls
Call 1
Inputs
(/.f64 x n)
(/.f64 1 (*.f64 x n))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(*.f64 (/.f64 1 x) (/.f64 1 n))
(-.f64 (+.f64 (/.f64 x n) 1) 1)
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1)
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n)
(-.f64 (/.f64 (/.f64 1 x) n) (/.f64 (/.f64 (/.f64 1/2 x) x) n))
(+.f64 (/.f64 x n) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x)))
(/.f64 (log.f64 1) n)
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
(*.f64 (log.f64 x) (/.f64 1 (neg.f64 n)))
(*.f64 (/.f64 1 n) (neg.f64 (log.f64 x)))
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(*.f64 (/.f64 1 n) (-.f64 x (log.f64 x)))
(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n))
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) 1)
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
(*.f64 (pow.f64 x (/.f64 1 n)) (/.f64 (/.f64 1 x) n))
(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))
(/.f64 (-.f64 (+.f64 1 (pow.f64 x (/.f64 1 n))) 1) (*.f64 x n))
(fma.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (*.f64 x x) (/.f64 x n))
(/.f64 (+.f64 (/.f64 1 x) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 1/2 (*.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 1/2 (/.f64 (/.f64 x (/.f64 n x)) n))) (pow.f64 x (/.f64 1 n)))
(-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) (pow.f64 x (/.f64 1 n)))
(expm1.f64 (/.f64 (log1p.f64 x) n))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(pow.f64 (/.f64 n (log1p.f64 (/.f64 1 x))) -1)
(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x)))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
Outputs
(*.f64 (pow.f64 x (/.f64 1 n)) (/.f64 (/.f64 1 x) n))
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (*.f64 1/2 (/.f64 (/.f64 x (/.f64 n x)) n))) (pow.f64 x (/.f64 1 n)))
Calls

3 calls:

79.0ms
n
59.0ms
x
44.0ms
(/.f64 1 n)
Results
ErrorSegmentsBranch
5.6b4x
1.1b4n
1.1b3(/.f64 1 n)
Compiler

Compiled 352 to 196 computations (44.3% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.18552706932728985
2710273211523547.0
0.0ms
-2.9597288195421254e-17
-1.8573994427429478e-27
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes188.0ms (1%)

Counts
28 → 3
Calls
Call 1
Inputs
(/.f64 x n)
(/.f64 1 (*.f64 x n))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(*.f64 (/.f64 1 x) (/.f64 1 n))
(-.f64 (+.f64 (/.f64 x n) 1) 1)
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1)
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n)
(-.f64 (/.f64 (/.f64 1 x) n) (/.f64 (/.f64 (/.f64 1/2 x) x) n))
(+.f64 (/.f64 x n) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x)))
(/.f64 (log.f64 1) n)
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
(*.f64 (log.f64 x) (/.f64 1 (neg.f64 n)))
(*.f64 (/.f64 1 n) (neg.f64 (log.f64 x)))
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(*.f64 (/.f64 1 n) (-.f64 x (log.f64 x)))
(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n))
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) 1)
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
(*.f64 (pow.f64 x (/.f64 1 n)) (/.f64 (/.f64 1 x) n))
(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))
(/.f64 (-.f64 (+.f64 1 (pow.f64 x (/.f64 1 n))) 1) (*.f64 x n))
(fma.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (*.f64 x x) (/.f64 x n))
(/.f64 (+.f64 (/.f64 1 x) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 1/2 (*.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)))))
Outputs
(*.f64 (pow.f64 x (/.f64 1 n)) (/.f64 (/.f64 1 x) n))
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))
Calls

3 calls:

71.0ms
n
47.0ms
x
40.0ms
(/.f64 1 n)
Results
ErrorSegmentsBranch
5.6b4x
1.2b4n
1.2b3(/.f64 1 n)
Compiler

Compiled 268 to 155 computations (42.2% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.18552706932728985
2710273211523547.0
0.0ms
-2.9597288195421254e-17
-1.8573994427429478e-27
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes162.0ms (0.9%)

Counts
23 → 4
Calls
Call 1
Inputs
(/.f64 x n)
(/.f64 1 (*.f64 x n))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(*.f64 (/.f64 1 x) (/.f64 1 n))
(-.f64 (+.f64 (/.f64 x n) 1) 1)
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1)
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n)
(-.f64 (/.f64 (/.f64 1 x) n) (/.f64 (/.f64 (/.f64 1/2 x) x) n))
(+.f64 (/.f64 x n) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x)))
(/.f64 (log.f64 1) n)
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
(*.f64 (log.f64 x) (/.f64 1 (neg.f64 n)))
(*.f64 (/.f64 1 n) (neg.f64 (log.f64 x)))
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(*.f64 (/.f64 1 n) (-.f64 x (log.f64 x)))
(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n))
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) 1)
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
(*.f64 (pow.f64 x (/.f64 1 n)) (/.f64 (/.f64 1 x) n))
Outputs
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(*.f64 (pow.f64 x (/.f64 1 n)) (/.f64 (/.f64 1 x) n))
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(/.f64 (log1p.f64 (/.f64 1 x)) n)
Calls

3 calls:

51.0ms
(/.f64 1 n)
44.0ms
x
42.0ms
n
Results
ErrorSegmentsBranch
5.6b4x
1.3b4n
1.3b3(/.f64 1 n)
Compiler

Compiled 190 to 111 computations (41.6% saved)

bsearch478.0ms (2.6%)

Algorithm
binary-search
Steps
TimeLeftRight
94.0ms
3.6896649228874684e-16
5.390049029642632
341.0ms
-2.8047661122988896e-286
9.225070896788367e-267
43.0ms
-9.854542162827292e+27
-5.383871540971457e+26
Results
190.0ms149×body1024infinite
78.0ms321×body256unsamplable
73.0ms30×body2048valid
30.0ms66×body512infinite
29.0ms167×body256valid
23.0ms51×body1024valid
14.0ms38×body512valid
12.0ms53×body256infinite
Compiler

Compiled 371 to 284 computations (23.5% saved)

regimes144.0ms (0.8%)

Counts
22 → 4
Calls
Call 1
Inputs
(/.f64 x n)
(/.f64 1 (*.f64 x n))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(*.f64 (/.f64 1 x) (/.f64 1 n))
(-.f64 (+.f64 (/.f64 x n) 1) 1)
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1)
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n)
(-.f64 (/.f64 (/.f64 1 x) n) (/.f64 (/.f64 (/.f64 1/2 x) x) n))
(+.f64 (/.f64 x n) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x)))
(/.f64 (log.f64 1) n)
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
(*.f64 (log.f64 x) (/.f64 1 (neg.f64 n)))
(*.f64 (/.f64 1 n) (neg.f64 (log.f64 x)))
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(*.f64 (/.f64 1 n) (-.f64 x (log.f64 x)))
(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n))
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) 1)
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
Outputs
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(/.f64 (log1p.f64 (/.f64 1 x)) n)
Calls

3 calls:

68.0ms
x
39.0ms
n
33.0ms
(/.f64 1 n)
Results
ErrorSegmentsBranch
5.7b4x
1.3b4n
1.3b3(/.f64 1 n)
Compiler

Compiled 179 to 104 computations (41.9% saved)

bsearch280.0ms (1.5%)

Algorithm
binary-search
Steps
TimeLeftRight
71.0ms
3.6896649228874684e-16
5.390049029642632
145.0ms
-2.8047661122988896e-286
9.225070896788367e-267
65.0ms
-5.383871540971457e+26
-33786879169379496.0
Results
93.0ms67×body1024infinite
50.0ms86×body1024valid
42.0ms182×body256valid
33.0ms180×body256unsamplable
20.0ms21×body2048valid
18.0ms39×body512infinite
10.0ms36×body512valid
9.0ms47×body256infinite
1.0msbody2048infinite
Compiler

Compiled 420 to 315 computations (25% saved)

regimes169.0ms (0.9%)

Counts
21 → 3
Calls
Call 1
Inputs
(/.f64 x n)
(/.f64 1 (*.f64 x n))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(*.f64 (/.f64 1 x) (/.f64 1 n))
(-.f64 (+.f64 (/.f64 x n) 1) 1)
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1)
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n)
(-.f64 (/.f64 (/.f64 1 x) n) (/.f64 (/.f64 (/.f64 1/2 x) x) n))
(+.f64 (/.f64 x n) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x)))
(/.f64 (log.f64 1) n)
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
(*.f64 (log.f64 x) (/.f64 1 (neg.f64 n)))
(*.f64 (/.f64 1 n) (neg.f64 (log.f64 x)))
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(*.f64 (/.f64 1 n) (-.f64 x (log.f64 x)))
(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n))
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) 1)
Outputs
(/.f64 (log.f64 1) n)
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(-.f64 1 (pow.f64 x (/.f64 1 n)))
Calls

3 calls:

97.0ms
x
37.0ms
n
28.0ms
(/.f64 1 n)
Results
ErrorSegmentsBranch
13.1b6x
1.6b4n
1.6b3(/.f64 1 n)
Compiler

Compiled 170 to 100 computations (41.2% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.18552706932728985
2710273211523547.0
0.0ms
-23.279468864864832
-0.3970822999169444
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes105.0ms (0.6%)

Counts
16 → 3
Calls
Call 1
Inputs
(/.f64 x n)
(/.f64 1 (*.f64 x n))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(*.f64 (/.f64 1 x) (/.f64 1 n))
(-.f64 (+.f64 (/.f64 x n) 1) 1)
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1)
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n)
(-.f64 (/.f64 (/.f64 1 x) n) (/.f64 (/.f64 (/.f64 1/2 x) x) n))
(+.f64 (/.f64 x n) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x)))
(/.f64 (log.f64 1) n)
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
(*.f64 (log.f64 x) (/.f64 1 (neg.f64 n)))
(*.f64 (/.f64 1 n) (neg.f64 (log.f64 x)))
Outputs
(/.f64 (log1p.f64 (/.f64 1 x)) n)
(/.f64 (log.f64 1) n)
(/.f64 (log1p.f64 (/.f64 1 x)) n)
Calls

3 calls:

60.0ms
x
23.0ms
n
16.0ms
(/.f64 1 n)
Results
ErrorSegmentsBranch
14.3b4x
7.4b3n
7.4b2(/.f64 1 n)
Compiler

Compiled 130 to 78 computations (40% saved)

bsearch142.0ms (0.8%)

Algorithm
binary-search
Steps
TimeLeftRight
110.0ms
-2.8047661122988896e-286
9.225070896788367e-267
32.0ms
-2.5183696181098094
-0.042956306512184954
Results
41.0ms44×body1024infinite
30.0ms154×body256unsamplable
28.0ms38×body512infinite
14.0ms28×body1024valid
11.0ms66×body256valid
6.0msbody2048valid
5.0ms27×body256infinite
5.0ms18×body512valid
Compiler

Compiled 132 to 106 computations (19.7% saved)

regimes145.0ms (0.8%)

Counts
12 → 5
Calls
Call 1
Inputs
(/.f64 x n)
(/.f64 1 (*.f64 x n))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(*.f64 (/.f64 1 x) (/.f64 1 n))
(-.f64 (+.f64 (/.f64 x n) 1) 1)
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1)
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n)
(-.f64 (/.f64 (/.f64 1 x) n) (/.f64 (/.f64 (/.f64 1/2 x) x) n))
(+.f64 (/.f64 x n) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x 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 x) n) (/.f64 (/.f64 (/.f64 1/2 x) x) n))
(/.f64 (log.f64 1) n)
(/.f64 (/.f64 1 n) x)
(/.f64 (log.f64 1) n)
Calls

3 calls:

57.0ms
n
46.0ms
(/.f64 1 n)
38.0ms
x
Results
ErrorSegmentsBranch
14.9b5x
21.8b9n
22.3b7(/.f64 1 n)
Compiler

Compiled 104 to 65 computations (37.5% saved)

bsearch249.0ms (1.4%)

Algorithm
binary-search
Steps
TimeLeftRight
75.0ms
4.514951256752239e+138
2.6448316531975092e+144
63.0ms
1.3597577796535511e+98
3.848889554012455e+103
54.0ms
9.293484151240269e+73
1.9413295524167803e+78
57.0ms
0.007108775097592891
203432.49931708514
Results
89.0ms224×body1024valid
87.0ms131×body2048valid
34.0ms148×body256valid
15.0ms57×body512valid
10.0ms37×body256unsamplable
6.0ms33×body256infinite
Compiler

Compiled 690 to 520 computations (24.6% saved)

regimes334.0ms (1.8%)

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

3 calls:

281.0ms
n
36.0ms
x
14.0ms
(/.f64 1 n)
Results
ErrorSegmentsBranch
34.2b4x
27.2b3n
27.3b2(/.f64 1 n)
Compiler

Compiled 99 to 62 computations (37.4% saved)

bsearch137.0ms (0.8%)

Algorithm
binary-search
Steps
TimeLeftRight
104.0ms
9.915094863209378e-86
4.717564732470176e-84
32.0ms
-2.5183696181098094
-0.042956306512184954
Results
59.0ms126×body512valid
37.0ms178×body256unsamplable
14.0ms31×body1024valid
12.0ms67×body256valid
11.0ms36×body256infinite
0.0msbody512infinite
Compiler

Compiled 230 to 183 computations (20.4% saved)

regimes41.0ms (0.2%)

Counts
10 → 3
Calls
Call 1
Inputs
(/.f64 x n)
(/.f64 1 (*.f64 x n))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(*.f64 (/.f64 1 x) (/.f64 1 n))
(-.f64 (+.f64 (/.f64 x n) 1) 1)
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1)
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n)
(-.f64 (/.f64 (/.f64 1 x) n) (/.f64 (/.f64 (/.f64 1/2 x) x) n))
(+.f64 (/.f64 x n) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x)))
Outputs
(/.f64 (/.f64 1 x) n)
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1)
(/.f64 (/.f64 1 x) n)
Calls

3 calls:

17.0ms
n
11.0ms
(/.f64 1 n)
10.0ms
x
Results
ErrorSegmentsBranch
37.1b2x
32.9b3n
32.9b2(/.f64 1 n)
Compiler

Compiled 95 to 59 computations (37.9% saved)

bsearch100.0ms (0.6%)

Algorithm
binary-search
Steps
TimeLeftRight
57.0ms
-3.1309825139276544e-242
-2.4422805241524903e-247
43.0ms
-403367.26462462055
-2.5183696181098094
Results
40.0ms228×body256valid
28.0ms125×body256infinite
23.0ms47×body1024valid
3.0ms11×body512valid
2.0msbody2048valid
Compiler

Compiled 380 to 303 computations (20.3% saved)

regimes15.0ms (0.1%)

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

3 calls:

5.0ms
x
4.0ms
(/.f64 1 n)
4.0ms
n
Results
ErrorSegmentsBranch
40.0b1x
40.0b1n
40.0b1(/.f64 1 n)
Compiler

Compiled 45 to 29 computations (35.6% saved)

regimes11.0ms (0.1%)

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

3 calls:

3.0ms
(/.f64 1 n)
3.0ms
n
3.0ms
x
Results
ErrorSegmentsBranch
40.0b1x
40.0b1n
40.0b1(/.f64 1 n)
Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes7.0ms (0%)

Accuracy

Total -21.4b remaining (-53.4%)

Threshold costs -21.4b (-53.4%)

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

2 calls:

3.0ms
n
3.0ms
x
Results
ErrorSegmentsBranch
40.2b1x
40.2b1n
Compiler

Compiled 16 to 10 computations (37.5% saved)

simplify25.0ms (0.1%)

Algorithm
egg-herbie
Rules
16×+-commutative_binary64
13×sub-neg_binary64
*-commutative_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0109624
1133624
2150624
3161624
4171624
5174624
6175624
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 1 n) -6490371073168535/324518553658426726783156020576256) (*.f64 (pow.f64 x (/.f64 1 n)) (/.f64 (/.f64 1 x) n)) (if (<=.f64 (/.f64 1 n) 3602879701896397/18014398509481984) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 (pow.f64 (pow.f64 (E.f64) (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2))) (cbrt.f64 (/.f64 (log1p.f64 x) n))) (pow.f64 x (/.f64 1 n)))))
(if (<=.f64 (/.f64 1 n) -6490371073168535/324518553658426726783156020576256) (*.f64 (pow.f64 x (/.f64 1 n)) (/.f64 (/.f64 1 x) n)) (if (<=.f64 (/.f64 1 n) 3602879701896397/18014398509481984) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))))
(if (<=.f64 (/.f64 1 n) -6490371073168535/324518553658426726783156020576256) (*.f64 (pow.f64 x (/.f64 1 n)) (/.f64 (/.f64 1 x) n)) (if (<=.f64 (/.f64 1 n) 3602879701896397/18014398509481984) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (*.f64 1/2 (/.f64 (/.f64 x (/.f64 n x)) n))) (pow.f64 x (/.f64 1 n)))))
(if (<=.f64 (/.f64 1 n) -6490371073168535/324518553658426726783156020576256) (*.f64 (pow.f64 x (/.f64 1 n)) (/.f64 (/.f64 1 x) n)) (if (<=.f64 (/.f64 1 n) 3602879701896397/18014398509481984) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))))
(if (<=.f64 n -540000000000000001677721600) (/.f64 (log1p.f64 (/.f64 1 x)) n) (if (<=.f64 n -3005331030472625/10715086071862673209484250490600018105614048117055336074437503883703510511249361224931983788156958581275946729175531468251871452856923140435984577574698574803934567774824230985421074605062371141877954182153046474983581941267398767559165543946077062914571196477686542167660429831652624386837205668069376) (*.f64 (pow.f64 x (/.f64 1 n)) (/.f64 (/.f64 1 x) n)) (if (<=.f64 n 5854679515581645/1125899906842624) (-.f64 1 (pow.f64 x (/.f64 1 n))) (/.f64 (log1p.f64 (/.f64 1 x)) n))))
(if (<=.f64 n -34000000000000000) (/.f64 (log1p.f64 (/.f64 1 x)) n) (if (<=.f64 n -3005331030472625/10715086071862673209484250490600018105614048117055336074437503883703510511249361224931983788156958581275946729175531468251871452856923140435984577574698574803934567774824230985421074605062371141877954182153046474983581941267398767559165543946077062914571196477686542167660429831652624386837205668069376) (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) (if (<=.f64 n 5854679515581645/1125899906842624) (-.f64 1 (pow.f64 x (/.f64 1 n))) (/.f64 (log1p.f64 (/.f64 1 x)) n))))
(if (<=.f64 (/.f64 1 n) -20) (/.f64 (log.f64 1) n) (if (<=.f64 (/.f64 1 n) 3602879701896397/18014398509481984) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 1 (pow.f64 x (/.f64 1 n)))))
(if (<=.f64 n -4728779608739021/2251799813685248) (/.f64 (log1p.f64 (/.f64 1 x)) n) (if (<=.f64 n -3005331030472625/10715086071862673209484250490600018105614048117055336074437503883703510511249361224931983788156958581275946729175531468251871452856923140435984577574698574803934567774824230985421074605062371141877954182153046474983581941267398767559165543946077062914571196477686542167660429831652624386837205668069376) (/.f64 (log.f64 1) n) (/.f64 (log1p.f64 (/.f64 1 x)) n)))
(if (<=.f64 x 6124895493223875/9007199254740992) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 560000000000000000642666609563218561255944201381929682444359833429616608935936) (-.f64 (/.f64 (/.f64 1 x) n) (/.f64 (/.f64 (/.f64 1/2 x) x) n)) (if (<=.f64 x 165000000000000014037156774936544769379792043893270719455532084134159027095209194719484930347237376) (/.f64 (log.f64 1) n) (if (<=.f64 x 1350000000000000075379297654816724413414409829804403819283507037451954516920471220070497732554612807074217153707865064474058779051282419951861760) (/.f64 (/.f64 1 n) x) (/.f64 (log.f64 1) n)))))
(if (<=.f64 n -5/2) (/.f64 (/.f64 1 x) n) (if (<=.f64 n 5030676667000927/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912) (/.f64 (log.f64 1) n) (/.f64 (/.f64 1 x) n)))
(if (<=.f64 n -5) (/.f64 (/.f64 1 x) n) (if (<=.f64 n -7714757926955103/31488807865122869393368946606905258090427358510263056881902260126273268613620094029570654385546278232018613516882486860685488436192434164121779142526563380772375266790330713043733329634453442159475340420497130656489612358376476868321800047085704593449207459741696) (-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1) (/.f64 (/.f64 1 x) n)))
(/.f64 (/.f64 1 x) n)
(/.f64 (/.f64 1 n) x)
(/.f64 1 (*.f64 x n))
(/.f64 x n)
Outputs
(if (<=.f64 (/.f64 1 n) -6490371073168535/324518553658426726783156020576256) (*.f64 (pow.f64 x (/.f64 1 n)) (/.f64 (/.f64 1 x) n)) (if (<=.f64 (/.f64 1 n) 3602879701896397/18014398509481984) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 (pow.f64 (pow.f64 (E.f64) (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2))) (cbrt.f64 (/.f64 (log1p.f64 x) n))) (pow.f64 x (/.f64 1 n)))))
(if (<=.f64 (/.f64 1 n) -6490371073168535/324518553658426726783156020576256) (*.f64 (pow.f64 x (/.f64 1 n)) (/.f64 (/.f64 1 x) n)) (if (<=.f64 (/.f64 1 n) 3602879701896397/18014398509481984) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))))
(if (<=.f64 (/.f64 1 n) -6490371073168535/324518553658426726783156020576256) (*.f64 (pow.f64 x (/.f64 1 n)) (/.f64 (/.f64 1 x) n)) (if (<=.f64 (/.f64 1 n) 3602879701896397/18014398509481984) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (*.f64 1/2 (/.f64 (/.f64 x (/.f64 n x)) n))) (pow.f64 x (/.f64 1 n)))))
(if (<=.f64 (/.f64 1 n) -6490371073168535/324518553658426726783156020576256) (*.f64 (pow.f64 x (/.f64 1 n)) (/.f64 (/.f64 1 x) n)) (if (<=.f64 (/.f64 1 n) 3602879701896397/18014398509481984) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n)))))
(if (<=.f64 (/.f64 1 n) -6490371073168535/324518553658426726783156020576256) (*.f64 (pow.f64 x (/.f64 1 n)) (/.f64 (/.f64 1 x) n)) (if (<=.f64 (/.f64 1 n) 3602879701896397/18014398509481984) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 (+.f64 1 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))))
(if (<=.f64 n -540000000000000001677721600) (/.f64 (log1p.f64 (/.f64 1 x)) n) (if (<=.f64 n -3005331030472625/10715086071862673209484250490600018105614048117055336074437503883703510511249361224931983788156958581275946729175531468251871452856923140435984577574698574803934567774824230985421074605062371141877954182153046474983581941267398767559165543946077062914571196477686542167660429831652624386837205668069376) (*.f64 (pow.f64 x (/.f64 1 n)) (/.f64 (/.f64 1 x) n)) (if (<=.f64 n 5854679515581645/1125899906842624) (-.f64 1 (pow.f64 x (/.f64 1 n))) (/.f64 (log1p.f64 (/.f64 1 x)) n))))
(if (<=.f64 n -34000000000000000) (/.f64 (log1p.f64 (/.f64 1 x)) n) (if (<=.f64 n -3005331030472625/10715086071862673209484250490600018105614048117055336074437503883703510511249361224931983788156958581275946729175531468251871452856923140435984577574698574803934567774824230985421074605062371141877954182153046474983581941267398767559165543946077062914571196477686542167660429831652624386837205668069376) (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) (if (<=.f64 n 5854679515581645/1125899906842624) (-.f64 1 (pow.f64 x (/.f64 1 n))) (/.f64 (log1p.f64 (/.f64 1 x)) n))))
(if (<=.f64 n -34000000000000000) (/.f64 (log1p.f64 (/.f64 1 x)) n) (if (<=.f64 n -3005331030472625/10715086071862673209484250490600018105614048117055336074437503883703510511249361224931983788156958581275946729175531468251871452856923140435984577574698574803934567774824230985421074605062371141877954182153046474983581941267398767559165543946077062914571196477686542167660429831652624386837205668069376) (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 n x)) (if (<=.f64 n 5854679515581645/1125899906842624) (-.f64 1 (pow.f64 x (/.f64 1 n))) (/.f64 (log1p.f64 (/.f64 1 x)) n))))
(if (<=.f64 (/.f64 1 n) -20) (/.f64 (log.f64 1) n) (if (<=.f64 (/.f64 1 n) 3602879701896397/18014398509481984) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 1 (pow.f64 x (/.f64 1 n)))))
(if (<=.f64 (/.f64 1 n) -20) (/.f64 0 n) (if (<=.f64 (/.f64 1 n) 3602879701896397/18014398509481984) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 1 (pow.f64 x (/.f64 1 n)))))
(if (<=.f64 n -4728779608739021/2251799813685248) (/.f64 (log1p.f64 (/.f64 1 x)) n) (if (<=.f64 n -3005331030472625/10715086071862673209484250490600018105614048117055336074437503883703510511249361224931983788156958581275946729175531468251871452856923140435984577574698574803934567774824230985421074605062371141877954182153046474983581941267398767559165543946077062914571196477686542167660429831652624386837205668069376) (/.f64 (log.f64 1) n) (/.f64 (log1p.f64 (/.f64 1 x)) n)))
(if (<=.f64 n -4728779608739021/2251799813685248) (/.f64 (log1p.f64 (/.f64 1 x)) n) (if (<=.f64 n -3005331030472625/10715086071862673209484250490600018105614048117055336074437503883703510511249361224931983788156958581275946729175531468251871452856923140435984577574698574803934567774824230985421074605062371141877954182153046474983581941267398767559165543946077062914571196477686542167660429831652624386837205668069376) (/.f64 0 n) (/.f64 (log1p.f64 (/.f64 1 x)) n)))
(if (<=.f64 x 6124895493223875/9007199254740992) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 560000000000000000642666609563218561255944201381929682444359833429616608935936) (-.f64 (/.f64 (/.f64 1 x) n) (/.f64 (/.f64 (/.f64 1/2 x) x) n)) (if (<=.f64 x 165000000000000014037156774936544769379792043893270719455532084134159027095209194719484930347237376) (/.f64 (log.f64 1) n) (if (<=.f64 x 1350000000000000075379297654816724413414409829804403819283507037451954516920471220070497732554612807074217153707865064474058779051282419951861760) (/.f64 (/.f64 1 n) x) (/.f64 (log.f64 1) n)))))
(if (<=.f64 x 6124895493223875/9007199254740992) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 560000000000000000642666609563218561255944201381929682444359833429616608935936) (-.f64 (/.f64 (/.f64 1 x) n) (/.f64 (/.f64 (/.f64 1/2 x) x) n)) (if (<=.f64 x 165000000000000014037156774936544769379792043893270719455532084134159027095209194719484930347237376) (/.f64 0 n) (if (<=.f64 x 1350000000000000075379297654816724413414409829804403819283507037451954516920471220070497732554612807074217153707865064474058779051282419951861760) (/.f64 (/.f64 1 n) x) (/.f64 0 n)))))
(if (<=.f64 x 6124895493223875/9007199254740992) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 560000000000000000642666609563218561255944201381929682444359833429616608935936) (+.f64 (/.f64 (/.f64 1 x) n) (/.f64 (/.f64 (/.f64 -1/2 x) x) n)) (if (<=.f64 x 165000000000000014037156774936544769379792043893270719455532084134159027095209194719484930347237376) (/.f64 0 n) (if (<=.f64 x 1350000000000000075379297654816724413414409829804403819283507037451954516920471220070497732554612807074217153707865064474058779051282419951861760) (/.f64 (/.f64 1 n) x) (/.f64 0 n)))))
(if (<=.f64 n -5/2) (/.f64 (/.f64 1 x) n) (if (<=.f64 n 5030676667000927/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912) (/.f64 (log.f64 1) n) (/.f64 (/.f64 1 x) n)))
(if (<=.f64 n -5/2) (/.f64 (/.f64 1 x) n) (if (<=.f64 n 5030676667000927/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912) (/.f64 0 n) (/.f64 (/.f64 1 x) n)))
(if (<=.f64 n -5) (/.f64 (/.f64 1 x) n) (if (<=.f64 n -7714757926955103/31488807865122869393368946606905258090427358510263056881902260126273268613620094029570654385546278232018613516882486860685488436192434164121779142526563380772375266790330713043733329634453442159475340420497130656489612358376476868321800047085704593449207459741696) (-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1) (/.f64 (/.f64 1 x) n)))
(if (<=.f64 n -5) (/.f64 (/.f64 1 x) n) (if (<=.f64 n -7714757926955103/31488807865122869393368946606905258090427358510263056881902260126273268613620094029570654385546278232018613516882486860685488436192434164121779142526563380772375266790330713043733329634453442159475340420497130656489612358376476868321800047085704593449207459741696) (+.f64 (+.f64 1 (/.f64 1 (*.f64 n x))) -1) (/.f64 (/.f64 1 x) n)))
(/.f64 (/.f64 1 x) n)
(/.f64 (/.f64 1 n) x)
(/.f64 1 (*.f64 x n))
(/.f64 1 (*.f64 n x))
(/.f64 x n)
Compiler

Compiled 453 to 319 computations (29.6% saved)

soundness299.0ms (1.6%)

Algorithm
egg-herbie
Rules
779×times-frac_binary64
736×fma-def_binary64
718×times-frac_binary64
718×times-frac_binary64
718×times-frac_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04706310
111835813
237885495
04706310
111835813
237885495
02681699
16531629
226471489
04706310
111835813
237885495
Stop Event
node limit
node limit
node limit
node limit
Compiler

Compiled 261 to 189 computations (27.6% saved)

end252.0ms (1.4%)

Compiler

Compiled 425 to 286 computations (32.7% saved)

Profiling

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